Subgroups — #3558×D₆₇ #31763153

Order 17152.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574732	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574731	C₂	1	2	yes	maximal, complemented
3	#22574730	C₂	1	2	yes	maximal, complemented
4	#22574729	C₂	1	2	yes	maximal, complemented
5	#22574728	C₂	1	1	yes	maximal, characteristic, complemented
6	#22574727	C₂	1	2	yes	maximal, complemented
7	#22574726	C₂	1	2	yes	maximal, complemented
8	#22574725	C₂	1	1	yes	maximal, characteristic, complemented
9	#22574724	C₂	1	2	yes	maximal, complemented
10	#22574723	C₂	1	2	yes	maximal, complemented
11	#22574722	C₂	1	2	yes	maximal, complemented
12	#22574721	C₂	1	2	yes	maximal, complemented
13	#22574720	C₂	1	4	yes	maximal, complemented
14	#22574719	C₂	1	4	yes	maximal, complemented
15	#22574718	C₂	1	2	yes	maximal, complemented
16	#562×D₆₇	C₂	1	2	yes	maximal, complemented
17	H(3,𝔽₄)×D₆₇	C₂	1	2	yes	maximal, complemented
18	#559×D₆₇	C₂	1	2	yes	maximal, complemented
19	#548×D₆₇	C₂	1	2	yes	maximal, complemented
20	#546×D₆₇	C₂	1	2	yes	maximal, complemented
21	#546×D₆₇	C₂	1	4	yes	maximal, complemented
22	D₄²×D₆₇	C₂	1	2	yes	maximal, complemented
23	#542×D₆₇	C₂	1	2	yes	maximal, complemented
24	#538×D₆₇	C₂	1	4	yes	maximal, complemented
25	#538×D₆₇	C₂	1	2	yes	maximal, complemented
26	#535×D₆₇	C₂	1	2	yes	maximal, complemented
27	#534×D₆₇	C₂	1	2	yes	maximal, complemented
28	#532×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	#529×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#124×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#3558	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
33	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
34	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
36	C₂²×D₄×D₆₇	C₂²	1	4	yes	complemented
37	C₂²×D₄×D₆₇	C₂²	1	2	yes	complemented
38	#16864144	C₂²	1	2	yes	complemented
39	#16864143	C₂²	1	4	yes	complemented
40	#16864143	C₂²	1	4	yes	complemented
41	#16864142	C₂²	1	4	yes	complemented
42	#16864142	C₂²	1	4	yes	complemented
43	#16864141	C₂²	1	4	yes	complemented
44	#16864141	C₂²	1	4	yes	complemented
45	#16864140	C₂²	1	2	yes	complemented
46	#16864140	C₂²	1	2	yes	complemented
47	#16864139	C₂²	1	4	yes	complemented
48	#16864139	C₂²	1	4	yes	complemented
49	#16864139	C₂²	1	4	yes	complemented
50	#16864138	C₂²	1	4	yes	complemented
51	#16864138	C₂²	1	4	yes	complemented
52	#16864138	C₂²	1	2	yes	complemented
53	#16864138	C₂²	1	2	yes	complemented
54	#16864138	C₂²	1	4	yes	complemented
55	#16864138	C₂²	1	2	yes	complemented
56	#16864132	C₂²	1	2	yes	complemented
57	#16864131	C₂²	1	2	yes	complemented
58	#16864131	C₂²	1	2	yes	complemented
59	#16864130	C₂²	1	4	yes	complemented
60	#16864130	C₂²	1	4	yes	complemented
61	#16864129	C₂²	1	2	yes	complemented
62	#16864129	C₂²	1	4	yes	complemented
63	#16864129	C₂²	1	2	yes	complemented
64	#16864128	C₂²	1	2	yes	complemented
65	#16864128	C₂²	1	4	yes	complemented
66	#16864128	C₂²	1	2	yes	complemented
67	#16864058	C₂²	1	2	yes	complemented
68	#16864057	C₂²	1	2	yes	complemented
69	#16864056	C₂²	1	2	yes	complemented
70	#16864056	C₂²	1	4	yes	complemented
71	#16864055	C₂²	1	4	yes	complemented
72	#16864055	C₂²	1	2	yes	complemented
73	#16864054	C₂²	1	4	yes	complemented
74	#16864054	C₂²	1	2	yes	complemented
75	#16864053	C₂²	1	2	yes	complemented
76	#16864052	C₂²	1	4	yes	complemented
77	#16864052	C₂²	1	2	yes	complemented
78	#16864043	C₂²	1	2	yes	complemented
79	#16864043	C₂²	1	4	yes	complemented
80	#16864042	C₂²	1	2	yes	complemented
81	#16864042	C₂²	1	4	yes	complemented
82	#16864041	C₂²	1	2	yes	complemented
83	#16864041	C₂²	1	4	yes	complemented
84	#16864040	C₂²	1	2	yes	complemented
85	#16864040	C₂²	1	4	yes	complemented
86	#16864039	C₂²	1	2	yes	complemented
87	#16864039	C₂²	1	4	yes	complemented
88	#16864038	C₂²	1	4	yes	complemented
89	#16864038	C₂²	1	4	yes	complemented
90	#16864038	C₂²	1	4	yes	complemented
91	#16864037	C₂²	1	2	yes	complemented
92	#16864037	C₂²	1	4	yes	complemented
93	#16864036	C₂²	1	4	yes	complemented
94	#16864036	C₂²	1	4	yes	complemented
95	#16864036	C₂²	1	4	yes	complemented
96	#16864035	C₂²	1	4	yes	complemented
97	#16864035	C₂²	1	4	yes	complemented
98	#16864035	C₂²	1	4	yes	complemented
99	#16864034	C₂²	1	2	yes	complemented
100	#16864034	C₂²	1	4	yes	complemented
101	#16864033	C₂²	1	4	yes	complemented
102	#16864033	C₂²	1	4	yes	complemented
103	#16864033	C₂²	1	4	yes	complemented
104	D₄×D₂₆₈	C₂²	1	2	yes	complemented
105	D₄×D₂₆₈	C₂²	1	2	yes	complemented
106	#16864031	C₂²	1	2	yes	complemented
107	#16864030	C₂²	1	2	yes	complemented
108	#16864030	C₂²	1	4	yes	complemented
109	#16864030	C₂²	1	2	yes	complemented
110	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
111	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
112	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
113	#16864028	C₂²	1	4	yes	complemented
114	#16864028	C₂²	1	4	yes	complemented
115	#16864020	C₂²	1	2	yes	complemented
116	#16864019	C₂²	1	2	yes	complemented
117	#16864018	C₂²	1	2	yes	complemented
118	#16864017	C₂²	1	2	yes	complemented
119	#16864016	C₂²	1	4	yes	complemented
120	#16864015	C₂²	1	2	yes	complemented
121	#16864014	C₂²	1	4	yes	complemented
122	#16864013	C₂²	1	2	yes	complemented
123	#16864012	C₂²	1	4	yes	complemented
124	#16864011	C₂²	1	2	yes	complemented
125	#16864010	C₂²	1	4	yes	complemented
126	#16863986	C₂²	1	2	yes	complemented
127	#16863986	C₂²	1	4	yes	complemented
128	#16863985	C₂²	1	4	yes	complemented
129	#16863985	C₂²	1	4	yes	complemented
130	#16863985	C₂²	1	4	yes	complemented
131	#16863984	C₂²	1	4	yes	complemented
132	#16863984	C₂²	1	2	yes	complemented
133	#16863983	C₂²	1	2	yes	complemented
134	#16863983	C₂²	1	4	yes	complemented
135	#16863982	C₂²	1	4	yes	complemented
136	#16863982	C₂²	1	4	yes	complemented
137	#16863982	C₂²	1	4	yes	complemented
138	#16863981	C₂²	1	4	yes	complemented
139	#16863981	C₂²	1	4	yes	complemented
140	#16863981	C₂²	1	4	yes	complemented
141	#16863980	C₂²	1	4	yes	complemented
142	#16863980	C₂²	1	4	yes	complemented
143	#16863980	C₂²	1	4	yes	complemented
144	#16863979	C₂²	1	4	yes	complemented
145	#16863979	C₂²	1	4	yes	complemented
146	#16863979	C₂²	1	4	yes	complemented
147	#16863978	C₂²	1	4	yes	complemented
148	#16863978	C₂²	1	4	yes	complemented
149	#16863978	C₂²	1	4	yes	complemented
150	#16863965	C₂²	1	2	yes	complemented
151	#16863964	C₂²	1	2	yes	complemented
152	#16863964	C₂²	1	2	yes	complemented
153	#16863963	C₂²	1	2	yes	complemented
154	#16863962	C₂²	1	4	yes	complemented
155	#16863962	C₂²	1	4	yes	complemented
156	#16863961	C₂²	1	4	yes	complemented
157	#16863961	C₂²	1	4	yes	complemented
158	#16863960	C₂²	1	2	yes	complemented
159	#16863959	C₂²	1	2	yes	complemented
160	#16863959	C₂²	1	2	yes	complemented
161	#16863958	C₂²	1	2	yes	complemented
162	#16863957	C₂²	1	4	yes	complemented
163	#16863957	C₂²	1	4	yes	complemented
164	#16863956	C₂²	1	4	yes	complemented
165	#16863956	C₂²	1	4	yes	complemented
166	#16863955	C₂²	1	4	yes	complemented
167	#16863954	C₂²	1	2	yes	complemented
168	#16863954	C₂²	1	4	yes	complemented
169	#16863954	C₂²	1	2	yes	complemented
170	#16863947	C₂²	1	1	yes	characteristic, complemented
171	#16863946	C₂²	1	1	yes	characteristic, complemented
172	#16863945	C₂²	1	2	yes	complemented
173	#16863944	C₂²	1	1	yes	characteristic, complemented
174	#16863943	C₂²	1	2	yes	complemented
175	#16863943	C₂²	1	2	yes	complemented
176	#16863942	C₂²	1	2	yes	complemented
177	#16863941	C₂²	1	2	yes	complemented
178	#16863941	C₂²	1	2	yes	complemented
179	C₄⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
180	#127×D₆₇	C₂²	1	2	yes	—
181	#127×D₆₇	C₂²	1	1	yes	characteristic, complemented
182	#16863933	C₂²	1	1	yes	characteristic, complemented
183	#16863932	C₂²	1	1	yes	characteristic, complemented
184	#16863931	C₂²	1	1	yes	characteristic, complemented
185	#16863930	C₂²	1	1	yes	characteristic, complemented
186	#16863929	C₂²	1	2	yes	complemented
187	#16863928	C₂²	1	1	yes	characteristic, complemented
188	#16863927	C₂²	1	1	yes	characteristic, complemented
189	#16863926	C₂²	1	2	yes	complemented
190	#16863925	C₂²	1	1	yes	characteristic, complemented
191	#16863924	C₂²	1	2	yes	complemented
192	#16863923	C₂²	1	2	yes	complemented
193	#126×D₆₇	C₂²	1	4	yes	complemented
194	#126×D₆₇	C₂²	1	2	yes	complemented
195	#125×D₆₇	C₂²	1	1	yes	characteristic, complemented
196	C₂×#14524032	C₂²	1	1	yes	characteristic, complemented
197	C₂×#14524031	C₂²	1	1	yes	characteristic, complemented
198	C₂×#14524030	C₂²	1	1	yes	characteristic, complemented
199	C₂×#14524029	C₂²	1	2	yes	complemented
200	C₂×#14524029	C₂²	1	2	yes	complemented
201	#124×D₆₇	C₂²	1	4	yes	complemented
202	#124×D₆₇	C₂²	1	2	yes	complemented
203	#124×D₆₇	C₂²	1	2	yes	complemented
204	#124×D₆₇	C₂²	1	2	yes	complemented
205	#124×D₆₇	C₂²	1	4	yes	complemented
206	#124×D₆₇	C₂²	1	2	yes	complemented
207	#124×D₆₇	C₂²	1	2	yes	complemented
208	#124×D₆₇	C₂²	1	1	yes	characteristic, complemented
209	#124×D₆₇	C₂²	1	2	yes	complemented
210	#124×D₆₇	C₂²	1	4	yes	complemented
211	#124×D₆₇	C₂²	1	2	yes	complemented
212	#124×D₆₇	C₂²	1	2	yes	complemented
213	#124×D₆₇	C₂²	1	2	yes	complemented
214	#124×D₆₇	C₂²	1	2	yes	complemented
215	#123×D₆₇	C₂²	1	4	yes	complemented
216	#123×D₆₇	C₂²	1	2	yes	complemented
217	#123×D₆₇	C₂²	1	4	yes	complemented
218	#123×D₆₇	C₂²	1	4	yes	complemented
219	#123×D₆₇	C₂²	1	4	yes	complemented
220	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
221	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
222	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
223	C₂²⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
224	#121×D₆₇	C₂²	1	2	yes	—
225	#121×D₆₇	C₂²	1	1	yes	characteristic
226	#121×D₆₇	C₂²	1	2	yes	complemented
227	#121×D₆₇	C₂²	1	4	yes	complemented
228	#121×D₆₇	C₂²	1	4	yes	complemented
229	#121×D₆₇	C₂²	1	4	yes	complemented
230	#121×D₆₇	C₂²	1	4	yes	complemented
231	#121×D₆₇	C₂²	1	2	yes	complemented
232	#121×D₆₇	C₂²	1	4	yes	complemented
233	#120×D₆₇	C₂²	1	4	yes	complemented
234	#120×D₆₇	C₂²	1	4	yes	complemented
235	#120×D₆₇	C₂²	1	4	yes	complemented
236	#120×D₆₇	C₂²	1	4	yes	complemented
237	#120×D₆₇	C₂²	1	4	yes	complemented
238	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
239	C₄×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
240	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
241	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
242	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
243	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
244	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
245	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
246	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
247	#117×D₆₇	C₂²	1	2	yes	complemented
248	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
249	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	complemented
250	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
251	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
252	#562×C₆₇	C₂²	1	2	yes	complemented
253	H(3,𝔽₄)×C₆₇	C₂²	1	2	yes	complemented
254	#559×C₆₇	C₂²	1	2	yes	complemented
255	#548×C₆₇	C₂²	1	2	yes	complemented
256	#546×C₆₇	C₂²	1	2	yes	complemented
257	#546×C₆₇	C₂²	1	4	yes	complemented
258	D₄²×C₆₇	C₂²	1	2	yes	complemented
259	#542×C₆₇	C₂²	1	2	yes	complemented
260	#538×C₆₇	C₂²	1	4	yes	complemented
261	#538×C₆₇	C₂²	1	2	yes	complemented
262	#535×C₆₇	C₂²	1	2	yes	complemented
263	#534×C₆₇	C₂²	1	2	yes	complemented
264	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
265	#529×C₆₇	C₂²	1	1	yes	characteristic, complemented
266	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₆₇	C₂³	1	2	yes	—
268	C₂⁴×D₆₇	C₂³	1	4	yes	—
269	C₂×#11761629	C₂³	1	2	yes	complemented
270	C₂×#11761629	C₂³	1	2	yes	complemented
271	C₂×#11761628	C₂³	1	2	yes	complemented
272	C₂×#11761628	C₂³	1	4	yes	complemented
273	C₂×#11761628	C₂³	1	4	yes	complemented
274	C₂×#11761628	C₂³	1	2	yes	complemented
275	C₂×#11761627	C₂³	1	2	yes	complemented
276	C₂×#11761627	C₂³	1	4	yes	complemented
277	C₂×#11761627	C₂³	1	4	yes	complemented
278	C₂×#11761627	C₂³	1	2	yes	complemented
279	#41×D₆₇	—	4	8	no	—
280	#41×D₆₇	—	4	8	no	—
281	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
282	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
283	C₂×Q₈×D₆₇	—	4	4	no	—
284	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
285	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
286	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
287	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
288	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
289	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
290	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
291	C₂²×D₂₆₈	C₂³	1	4	yes	complemented
292	C₂²×D₂₆₈	C₂³	1	2	yes	complemented
293	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
294	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
295	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
296	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
297	C₂×D₄×D₆₇	—	4	4	no	—
298	C₂×D₄×D₆₇	—	4	8	no	—
299	C₂×D₄×D₆₇	—	4	16	no	—
300	C₂×D₄×D₆₇	C₂³	1	4	yes	—
301	C₂×D₄×D₆₇	C₂³	1	2	yes	—
302	C₂×D₄×D₆₇	C₂³	1	2	yes	—
303	C₂×D₄×D₆₇	C₂³	1	2	yes	—
304	C₂×D₄×D₆₇	C₂³	1	2	yes	—
305	C₂×D₄×D₆₇	C₂³	1	2	yes	—
306	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
307	C₂×D₄×D₆₇	C₂³	1	4	yes	—
308	C₂×D₄×D₆₇	C₂³	1	2	yes	—
309	C₂×D₄×D₆₇	C₂³	1	4	yes	—
310	C₂×D₄×D₆₇	C₂³	1	4	yes	—
311	C₂×D₄×D₆₇	C₂³	1	2	yes	—
312	C₂×D₄×D₆₇	C₂³	1	2	yes	—
313	C₂×D₄×D₆₇	C₂³	1	4	yes	—
314	C₂×D₄×D₆₇	C₂³	1	4	yes	—
315	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
316	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
317	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
318	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
319	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
320	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
321	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
322	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
323	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
324	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
325	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
326	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
327	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
328	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
329	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
330	#14524043	C₂³	1	1	yes	characteristic, complemented
331	#14524042	C₂³	1	2	yes	complemented
332	#14524042	C₂³	1	2	yes	complemented
333	#14524041	C₂³	1	2	yes	complemented
334	#14524040	C₂³	1	2	yes	—
335	#14524040	C₂³	1	1	yes	characteristic, complemented
336	#14524039	C₂³	1	4	yes	—
337	#14524039	C₂³	1	2	yes	—
338	#14524039	C₂³	1	2	yes	—
339	#14524039	C₂³	1	4	yes	—
340	#14524039	C₂³	1	2	yes	complemented
341	#14524039	C₂³	1	2	yes	complemented
342	#14524039	C₂³	1	2	yes	complemented
343	#14524038	C₂³	1	4	yes	complemented
344	#14524038	C₂³	1	4	yes	complemented
345	#14524038	C₂³	1	4	yes	complemented
346	#14524038	C₂³	1	2	yes	complemented
347	#14524038	C₂³	1	2	yes	complemented
348	#14524038	C₂³	1	2	yes	complemented
349	#14524037	C₂³	1	4	yes	complemented
350	#14524037	C₂³	1	2	yes	complemented
351	#14524036	C₂³	1	4	yes	complemented
352	#14524036	C₂³	1	4	yes	complemented
353	#14524036	C₂³	1	4	yes	complemented
354	#14524036	C₂³	1	2	yes	complemented
355	#14524036	C₂³	1	2	yes	complemented
356	#14524036	C₂³	1	2	yes	complemented
357	#14524035	C₂³	1	1	yes	characteristic, complemented
358	#14524034	C₂³	1	1	yes	characteristic, complemented
359	#14524034	C₂³	1	1	yes	characteristic, complemented
360	#14524033	C₂³	1	2	yes	complemented
361	#14524033	C₂³	1	2	yes	complemented
362	#14524032	C₂³	1	4	yes	complemented
363	#14524032	C₂³	1	2	yes	complemented
364	#14524032	C₂³	1	2	yes	complemented
365	#14524032	C₂³	1	2	yes	complemented
366	#14524032	C₂³	1	4	yes	complemented
367	#14524032	C₂³	1	4	yes	complemented
368	#14524032	C₂³	1	1	yes	characteristic, complemented
369	#14524032	C₂³	1	2	yes	complemented
370	#14524032	C₂³	1	2	yes	complemented
371	#14524032	C₂³	1	2	yes	complemented
372	#14524031	C₂³	1	4	yes	complemented
373	#14524031	C₂³	1	2	yes	complemented
374	#14524031	C₂³	1	2	yes	complemented
375	#14524031	C₂³	1	2	yes	complemented
376	#14524031	C₂³	1	4	yes	complemented
377	#14524031	C₂³	1	4	yes	complemented
378	#14524031	C₂³	1	1	yes	characteristic, complemented
379	#14524031	C₂³	1	2	yes	complemented
380	#14524031	C₂³	1	2	yes	complemented
381	#14524031	C₂³	1	2	yes	complemented
382	#14524030	C₂³	1	2	yes	complemented
383	#14524030	C₂³	1	4	yes	complemented
384	#14524030	C₂³	1	2	yes	complemented
385	#14524030	C₂³	1	2	yes	complemented
386	#14524030	C₂³	1	4	yes	complemented
387	#14524030	C₂³	1	4	yes	complemented
388	#14524030	C₂³	1	1	yes	characteristic, complemented
389	#14524030	C₂³	1	2	yes	complemented
390	#14524030	C₂³	1	2	yes	complemented
391	#14524030	C₂³	1	2	yes	complemented
392	#14524029	C₂³	1	4	yes	complemented
393	#14524029	C₂³	1	4	yes	complemented
394	#14524029	C₂³	1	4	yes	complemented
395	#14524029	C₂³	1	4	yes	complemented
396	#14524029	C₂³	1	4	yes	complemented
397	#14524029	C₂³	1	4	yes	complemented
398	#14524029	C₂³	1	4	yes	complemented
399	#14524029	C₂³	1	4	yes	complemented
400	#14524029	C₂³	1	4	yes	complemented
401	#14524029	C₂³	1	4	yes	complemented
402	#14524029	C₂³	1	4	yes	complemented
403	#14524029	C₂³	1	4	yes	complemented
404	#14524029	C₂³	1	4	yes	complemented
405	#14524029	C₂³	1	4	yes	complemented
406	#14524029	C₂³	1	4	yes	complemented
407	#14524029	C₂³	1	4	yes	complemented
408	#14524029	C₂³	1	4	yes	complemented
409	#14524029	C₂³	1	4	yes	complemented
410	#14524029	C₂³	1	2	yes	complemented
411	#14524029	C₂³	1	2	yes	complemented
412	#14524029	C₂³	1	4	yes	complemented
413	#14524029	C₂³	1	4	yes	complemented
414	#14524029	C₂³	1	4	yes	complemented
415	#14524029	C₂³	1	4	yes	complemented
416	#14524029	C₂³	1	4	yes	complemented
417	#14524029	C₂³	1	4	yes	complemented
418	#14524028	C₂³	1	4	yes	complemented
419	#14524028	C₂³	1	4	yes	complemented
420	#14524028	C₂³	1	2	yes	complemented
421	#14524028	C₂³	1	4	yes	complemented
422	#14524028	C₂³	1	4	yes	complemented
423	#14524028	C₂³	1	2	yes	complemented
424	#14524028	C₂³	1	4	yes	complemented
425	#14524028	C₂³	1	4	yes	complemented
426	#14524028	C₂³	1	4	yes	complemented
427	#14524028	C₂³	1	4	yes	complemented
428	#14524027	C₂³	1	4	yes	complemented
429	#14524027	C₂³	1	2	yes	complemented
430	#14524027	C₂³	1	4	yes	complemented
431	#14524027	C₂³	1	4	yes	complemented
432	#14524027	C₂³	1	4	yes	complemented
433	#14524026	C₂³	1	4	yes	complemented
434	#14524026	C₂³	1	2	yes	complemented
435	#14524026	C₂³	1	4	yes	complemented
436	#14524026	C₂³	1	4	yes	complemented
437	#14524026	C₂³	1	4	yes	complemented
438	#14524025	C₂³	1	4	yes	complemented
439	#14524025	C₂³	1	4	yes	complemented
440	#14524025	C₂³	1	2	yes	complemented
441	#14524025	C₂³	1	4	yes	complemented
442	#14524025	C₂³	1	4	yes	complemented
443	#14524025	C₂³	1	2	yes	complemented
444	#14524025	C₂³	1	4	yes	complemented
445	#14524025	C₂³	1	4	yes	complemented
446	#14524025	C₂³	1	4	yes	complemented
447	#14524025	C₂³	1	4	yes	complemented
448	#14524024	C₂³	1	4	yes	complemented
449	#14524024	C₂³	1	2	yes	complemented
450	#14524024	C₂³	1	4	yes	complemented
451	#14524024	C₂³	1	4	yes	complemented
452	#14524024	C₂³	1	4	yes	complemented
453	#14524023	C₂³	1	2	yes	complemented
454	#14524023	C₂³	1	4	yes	complemented
455	#14524023	C₂³	1	4	yes	complemented
456	#14524023	C₂³	1	1	yes	characteristic, complemented
457	#14524022	C₂³	1	4	yes	complemented
458	#14524022	C₂³	1	2	yes	complemented
459	#14524022	C₂³	1	4	yes	complemented
460	#14524022	C₂³	1	1	yes	characteristic, complemented
461	#14524021	C₂³	1	4	yes	complemented
462	#14524021	C₂³	1	4	yes	complemented
463	#14524021	C₂³	1	4	yes	complemented
464	#14524021	C₂³	1	4	yes	complemented
465	#14524021	C₂³	1	4	yes	complemented
466	#14524021	C₂³	1	2	yes	complemented
467	#14524020	C₂³	1	4	yes	complemented
468	#14524020	C₂³	1	4	yes	complemented
469	#14524020	C₂³	1	4	yes	complemented
470	#14524020	C₂³	1	4	yes	complemented
471	#14524020	C₂³	1	4	yes	complemented
472	#14524020	C₂³	1	2	yes	complemented
473	#14524019	C₂³	1	4	yes	complemented
474	#14524019	C₂³	1	2	yes	complemented
475	#14524019	C₂³	1	4	yes	complemented
476	#14524019	C₂³	1	1	yes	characteristic, complemented
477	#14524018	C₂³	1	2	yes	—
478	#14524018	C₂³	1	1	yes	characteristic
479	#14524018	C₂³	1	2	yes	complemented
480	#14524018	C₂³	1	4	yes	complemented
481	#14524018	C₂³	1	4	yes	complemented
482	#14524018	C₂³	1	4	yes	complemented
483	#14524018	C₂³	1	4	yes	complemented
484	#14524018	C₂³	1	2	yes	complemented
485	#14524018	C₂³	1	4	yes	complemented
486	#14524017	C₂³	1	2	yes	—
487	#14524017	C₂³	1	1	yes	characteristic
488	#14524017	C₂³	1	2	yes	complemented
489	#14524017	C₂³	1	4	yes	complemented
490	#14524017	C₂³	1	4	yes	complemented
491	#14524017	C₂³	1	4	yes	complemented
492	#14524017	C₂³	1	4	yes	complemented
493	#14524017	C₂³	1	2	yes	complemented
494	#14524017	C₂³	1	4	yes	complemented
495	#14524016	C₂³	1	4	yes	—
496	#14524016	C₂³	1	2	yes	—
497	#14524016	C₂³	1	4	yes	complemented
498	#14524016	C₂³	1	4	yes	complemented
499	#14524016	C₂³	1	4	yes	complemented
500	#14524016	C₂³	1	4	yes	complemented
501	#14524016	C₂³	1	4	yes	complemented
502	#14524016	C₂³	1	4	yes	complemented
503	#14524016	C₂³	1	4	yes	complemented
504	#14524016	C₂³	1	4	yes	complemented
505	#14524016	C₂³	1	4	yes	complemented
506	#14524016	C₂³	1	4	yes	complemented
507	#14524016	C₂³	1	4	yes	complemented
508	#14524016	C₂³	1	4	yes	complemented
509	#14524015	C₂³	1	4	yes	—
510	#14524015	C₂³	1	2	yes	—
511	#14524015	C₂³	1	4	yes	complemented
512	#14524015	C₂³	1	4	yes	complemented
513	#14524015	C₂³	1	4	yes	complemented
514	#14524015	C₂³	1	4	yes	complemented
515	#14524015	C₂³	1	4	yes	complemented
516	#14524015	C₂³	1	4	yes	complemented
517	#14524015	C₂³	1	4	yes	complemented
518	#14524015	C₂³	1	4	yes	complemented
519	#14524015	C₂³	1	4	yes	complemented
520	#14524015	C₂³	1	4	yes	complemented
521	#14524015	C₂³	1	4	yes	complemented
522	#14524015	C₂³	1	4	yes	complemented
523	#14524014	C₂³	1	2	yes	—
524	#14524014	C₂³	1	1	yes	characteristic
525	#14524014	C₂³	1	2	yes	complemented
526	#14524014	C₂³	1	4	yes	complemented
527	#14524014	C₂³	1	4	yes	complemented
528	#14524014	C₂³	1	4	yes	complemented
529	#14524014	C₂³	1	4	yes	complemented
530	#14524014	C₂³	1	2	yes	complemented
531	#14524014	C₂³	1	4	yes	complemented
532	#14524013	C₂³	1	4	yes	complemented
533	#14524013	C₂³	1	4	yes	complemented
534	#14524013	C₂³	1	4	yes	complemented
535	#14524013	C₂³	1	4	yes	complemented
536	#14524013	C₂³	1	4	yes	complemented
537	#14524013	C₂³	1	4	yes	complemented
538	#14524013	C₂³	1	4	yes	complemented
539	#14524013	C₂³	1	4	yes	complemented
540	#14524013	C₂³	1	4	yes	complemented
541	#14524013	C₂³	1	4	yes	complemented
542	#14524013	C₂³	1	4	yes	complemented
543	#14524013	C₂³	1	4	yes	complemented
544	#14524013	C₂³	1	4	yes	complemented
545	#14524013	C₂³	1	4	yes	complemented
546	#14524013	C₂³	1	4	yes	complemented
547	#14524012	C₂³	1	4	yes	complemented
548	#14524012	C₂³	1	4	yes	complemented
549	#14524012	C₂³	1	4	yes	complemented
550	#14524012	C₂³	1	4	yes	complemented
551	#14524012	C₂³	1	4	yes	complemented
552	#14524011	C₂³	1	4	yes	complemented
553	#14524011	C₂³	1	4	yes	complemented
554	#14524011	C₂³	1	4	yes	complemented
555	#14524011	C₂³	1	4	yes	complemented
556	#14524011	C₂³	1	4	yes	complemented
557	#14524011	C₂³	1	4	yes	complemented
558	#14524011	C₂³	1	4	yes	complemented
559	#14524011	C₂³	1	4	yes	complemented
560	#14524011	C₂³	1	4	yes	complemented
561	#14524011	C₂³	1	4	yes	complemented
562	#14524011	C₂³	1	4	yes	complemented
563	#14524011	C₂³	1	4	yes	complemented
564	#14524011	C₂³	1	4	yes	complemented
565	#14524011	C₂³	1	4	yes	complemented
566	#14524011	C₂³	1	4	yes	complemented
567	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
568	Q₈×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
569	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
570	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
571	C₄×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
572	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
573	#14524008	C₂³	1	2	yes	complemented
574	#14524008	C₂³	1	4	yes	complemented
575	#14524008	C₂³	1	2	yes	complemented
576	#14524008	C₂³	1	1	yes	characteristic, complemented
577	C₄×D₂₆₈	C₂³	1	2	yes	complemented
578	C₄×D₂₆₈	C₂³	1	2	yes	complemented
579	C₄×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
580	C₄×D₂₆₈	C₂³	1	4	yes	complemented
581	C₄×D₂₆₈	C₂³	1	4	yes	complemented
582	C₄×D₂₆₈	C₂³	1	2	yes	complemented
583	C₄×D₂₆₈	C₂³	1	2	yes	complemented
584	D₄×Dic₆₇	C₂³	1	2	yes	complemented
585	D₄×Dic₆₇	C₂³	1	2	yes	complemented
586	D₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
587	D₄×Dic₆₇	C₂³	1	4	yes	complemented
588	D₄×Dic₆₇	C₂³	1	4	yes	complemented
589	D₄×Dic₆₇	C₂³	1	2	yes	complemented
590	D₄×Dic₆₇	C₂³	1	2	yes	complemented
591	#14524005	C₂³	1	2	yes	complemented
592	#14524005	C₂³	1	2	yes	complemented
593	#14524005	C₂³	1	4	yes	complemented
594	#14524005	C₂³	1	2	yes	complemented
595	#14524005	C₂³	1	1	yes	characteristic, complemented
596	#14524005	C₂³	1	4	yes	complemented
597	#14524005	C₂³	1	2	yes	complemented
598	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
599	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
600	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
601	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
602	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
603	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
604	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
605	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
606	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
607	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
608	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
609	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
610	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
611	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
612	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
613	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
614	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
615	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
616	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
617	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
618	#14524002	C₂³	1	2	yes	complemented
619	#14524001	C₂³	1	2	yes	complemented
620	#14524001	C₂³	1	2	yes	complemented
621	#14524000	C₂³	1	2	yes	complemented
622	#14524000	C₂³	1	2	yes	complemented
623	#14523999	C₂³	1	2	yes	complemented
624	#14523999	C₂³	1	2	yes	complemented
625	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
626	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
627	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
628	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
629	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
630	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
631	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
632	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
633	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
634	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
635	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
636	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
637	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
638	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
639	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
640	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
641	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
642	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
643	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
644	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
645	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
646	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
647	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
648	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
649	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
650	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
651	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
652	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
653	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
654	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
655	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
656	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
657	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
658	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
660	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
661	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
662	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
663	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
664	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
665	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
666	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
667	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
668	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
669	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
670	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
671	C₄²×D₆₇	C₂³	1	1	yes	characteristic
672	C₄²×D₆₇	C₂³	1	1	yes	characteristic
673	C₄²×D₆₇	C₂³	1	1	yes	characteristic
674	C₄²×D₆₇	C₂³	1	1	yes	characteristic
675	C₄²×D₆₇	C₂³	1	2	yes	—
676	C₄²×D₆₇	C₂³	1	4	yes	—
677	C₄²×D₆₇	C₂³	1	1	yes	characteristic, complemented
678	C₄²×D₆₇	C₂³	1	1	yes	characteristic, complemented
679	C₄²×D₆₇	C₂³	1	1	yes	characteristic, complemented
680	C₄²×D₆₇	C₂³	1	1	yes	characteristic, complemented
681	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
682	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
683	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
684	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
685	C₂²×D₄×C₆₇	C₂³	1	4	yes	complemented
686	C₂²×D₄×C₆₇	C₂³	1	2	yes	complemented
687	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
688	#127×C₆₇	C₂³	1	2	yes	—
689	#127×C₆₇	C₂³	1	1	yes	characteristic, complemented
690	#126×C₆₇	C₂³	1	4	yes	complemented
691	#126×C₆₇	C₂³	1	2	yes	complemented
692	#125×C₆₇	C₂³	1	1	yes	characteristic, complemented
693	#124×C₆₇	C₂³	1	4	yes	complemented
694	#124×C₆₇	C₂³	1	2	yes	complemented
695	#124×C₆₇	C₂³	1	2	yes	complemented
696	#124×C₆₇	C₂³	1	2	yes	complemented
697	#124×C₆₇	C₂³	1	4	yes	complemented
698	#124×C₆₇	C₂³	1	2	yes	complemented
699	#124×C₆₇	C₂³	1	2	yes	complemented
700	#124×C₆₇	C₂³	1	1	yes	characteristic, complemented
701	#124×C₆₇	C₂³	1	2	yes	complemented
702	#124×C₆₇	C₂³	1	4	yes	complemented
703	#123×C₆₇	C₂³	1	4	yes	complemented
704	#123×C₆₇	C₂³	1	2	yes	complemented
705	#123×C₆₇	C₂³	1	4	yes	complemented
706	#123×C₆₇	C₂³	1	4	yes	complemented
707	#123×C₆₇	C₂³	1	4	yes	complemented
708	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
709	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
710	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
711	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
712	#121×C₆₇	C₂³	1	2	yes	—
713	#121×C₆₇	C₂³	1	1	yes	characteristic
714	#121×C₆₇	C₂³	1	2	yes	complemented
715	#121×C₆₇	C₂³	1	4	yes	complemented
716	#121×C₆₇	C₂³	1	4	yes	complemented
717	#121×C₆₇	C₂³	1	4	yes	complemented
718	#121×C₆₇	C₂³	1	4	yes	complemented
719	#121×C₆₇	C₂³	1	2	yes	complemented
720	#121×C₆₇	C₂³	1	4	yes	complemented
721	#120×C₆₇	C₂³	1	4	yes	complemented
722	#120×C₆₇	C₂³	1	4	yes	complemented
723	#120×C₆₇	C₂³	1	4	yes	complemented
724	#120×C₆₇	C₂³	1	4	yes	complemented
725	#120×C₆₇	C₂³	1	4	yes	complemented
726	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
727	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
728	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
729	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
730	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
731	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
732	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
733	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
734	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
735	#117×C₆₇	C₂³	1	2	yes	complemented
736	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	complemented
737	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
738	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	complemented
739	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic, complemented
740	C₂³×D₆₇	—	2	8	no	—
741	C₂³×D₆₇	—	4	4	no	—
742	C₂³×D₆₇	—	4	8	no	—
743	C₂³×D₆₇	—	4	8	no	—
744	C₂³×D₆₇	—	4	4	no	—
745	C₂³×D₆₇	—	4	8	no	—
746	C₂³×D₆₇	C₂⁴	1	2	yes	—
747	C₂³×D₆₇	C₂⁴	1	4	yes	—
748	C₂³×D₆₇	C₂⁴	1	4	yes	—
749	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
750	C₂³×D₆₇	C₂⁴	1	4	yes	—
751	C₂³×D₆₇	C₂⁴	1	2	yes	—
752	C₂³×D₆₇	C₂⁴	1	4	yes	—
753	C₂³×D₆₇	C₂⁴	1	4	yes	—
754	C₂³×D₆₇	C₂⁴	1	4	yes	—
755	#11761629	—	4	4	no	—
756	#11761629	—	4	4	no	—
757	#11761628	—	4	8	no	—
758	#11761628	—	4	4	no	—
759	#11761628	—	4	8	no	—
760	#11761628	—	4	4	no	—
761	#11761627	—	4	4	no	—
762	#11761627	—	4	8	no	—
763	#11761627	—	4	4	no	—
764	#11761627	—	4	8	no	—
765	C₂×Dic₁₃₄	—	4	4	no	—
766	C₂×Dic₁₃₄	—	4	2	no	—
767	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
768	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
769	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
770	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
771	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
772	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
773	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
774	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
775	Q₈×D₆₇	—	2	8	no	—
776	Q₈×D₆₇	—	4	4	no	—
777	Q₈×D₆₇	—	4	4	no	—
778	Q₈×D₆₇	—	4	4	no	—
779	Q₈×D₆₇	—	4	2	no	—
780	Q₈×D₆₇	—	4	4	no	—
781	C₂×D₂₆₈	—	4	2	no	—
782	C₂×D₂₆₈	—	4	4	no	—
783	C₂×D₂₆₈	—	4	8	no	—
784	C₂×D₂₆₈	C₂⁴	1	4	yes	—
785	C₂×D₂₆₈	C₂⁴	1	2	yes	—
786	C₂×D₂₆₈	C₂⁴	1	2	yes	—
787	C₂×D₂₆₈	C₂⁴	1	2	yes	—
788	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
789	C₂×D₂₆₈	C₂⁴	1	4	yes	—
790	C₂×D₂₆₈	C₂⁴	1	2	yes	—
791	C₂×D₂₆₈	C₂⁴	1	4	yes	—
792	C₂×D₂₆₈	C₂⁴	1	4	yes	—
793	C₂×D₂₆₈	C₂⁴	1	2	yes	—
794	C₂×D₂₆₈	C₂⁴	1	2	yes	—
795	C₂×D₂₆₈	C₂⁴	1	4	yes	—
796	C₂×D₂₆₈	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊D₆₇	—	4	4	no	—
798	C₂×C₂²⋊D₆₇	—	4	8	no	—
799	C₂×C₂²⋊D₆₇	—	4	8	no	—
800	C₂×C₂²⋊D₆₇	—	4	8	no	—
801	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
804	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
805	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
808	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
817	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
819	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
821	D₄×D₆₇	—	2	8	no	—
822	D₄×D₆₇	—	2	16	no	—
823	D₄×D₆₇	—	2	8	no	—
824	D₄×D₆₇	—	2	8	no	—
825	D₄×D₆₇	—	4	4	no	—
826	D₄×D₆₇	—	4	4	no	—
827	D₄×D₆₇	—	4	4	no	—
828	D₄×D₆₇	—	4	4	no	—
829	D₄×D₆₇	—	4	8	no	—
830	D₄×D₆₇	—	4	8	no	—
831	D₄×D₆₇	—	4	4	no	—
832	D₄×D₆₇	—	4	8	no	—
833	D₄×D₆₇	—	4	8	no	—
834	D₄×D₆₇	—	4	4	no	—
835	D₄×D₆₇	—	4	2	no	—
836	D₄×D₆₇	—	4	8	no	—
837	D₄×D₆₇	—	4	4	no	—
838	D₄×D₆₇	—	4	8	no	—
839	D₄×D₆₇	—	4	8	no	—
840	D₄×D₆₇	—	4	8	no	—
841	D₄×D₆₇	—	4	8	no	—
842	D₄×D₆₇	—	4	8	no	—
843	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
844	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
845	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
846	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
847	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
848	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
849	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
850	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
851	C₂×C₄×D₆₇	—	2	4	no	—
852	C₂×C₄×D₆₇	—	2	4	no	—
853	C₂×C₄×D₆₇	—	2	8	no	—
854	C₂×C₄×D₆₇	—	4	2	no	—
855	C₂×C₄×D₆₇	—	4	8	no	—
856	C₂×C₄×D₆₇	—	4	4	no	—
857	C₂×C₄×D₆₇	—	4	8	no	—
858	C₂×C₄×D₆₇	—	4	8	no	—
859	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
860	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
861	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
862	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
863	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
864	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
865	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
866	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
867	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
868	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
869	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
870	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
871	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
872	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
873	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
874	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
875	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
876	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
877	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
878	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
879	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
880	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
881	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
882	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
883	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
884	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
885	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
886	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
887	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
888	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
889	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
890	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
891	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
892	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
893	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
894	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
895	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
896	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
897	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
898	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
899	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
900	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
901	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
902	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
903	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
904	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
905	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
906	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
907	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
908	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
909	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
910	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
911	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
912	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
913	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
914	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
915	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
916	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
917	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
918	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
919	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
920	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
921	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
922	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
923	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
924	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
925	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
926	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
927	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
928	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
929	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
930	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
931	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
932	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
933	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
934	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
935	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
936	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
937	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
938	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
939	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
940	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
941	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
942	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
943	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
944	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
945	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
946	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
947	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
948	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
949	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
950	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
951	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
952	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
953	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
954	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
955	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
956	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
957	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
958	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
959	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
960	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
961	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
962	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
963	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
964	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
965	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
966	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
967	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
968	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
969	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
970	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
971	C₄×Dic₆₇	C₂⁴	1	2	yes	—
972	C₄×Dic₆₇	C₂⁴	1	2	yes	—
973	C₄×Dic₆₇	C₂⁴	1	2	yes	—
974	C₄×Dic₆₇	C₂⁴	1	4	yes	—
975	C₄×Dic₆₇	C₂⁴	1	4	yes	—
976	C₄×Dic₆₇	C₂⁴	1	4	yes	—
977	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
978	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
979	#41×C₆₇	—	4	4	no	—
980	#41×C₆₇	—	4	4	no	—
981	C₂×Q₈×C₆₇	—	4	2	no	—
982	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
983	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
984	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
985	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
986	C₂×D₄×C₆₇	—	4	2	no	—
987	C₂×D₄×C₆₇	—	4	4	no	—
988	C₂×D₄×C₆₇	—	4	8	no	—
989	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
990	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
991	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
992	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
993	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
994	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
995	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
996	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
997	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
998	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
999	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
1000	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1001	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
1002	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1003	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1004	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1005	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1006	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1007	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1008	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1009	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1010	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1011	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1012	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1013	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1014	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1015	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1016	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1017	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1018	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1019	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1020	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1021	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1022	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1023	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1024	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1025	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1026	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1027	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1028	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1029	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1030	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1031	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1032	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1033	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1034	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1035	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1036	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1037	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1038	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1039	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1040	C₄²×C₆₇	C₂⁴	1	2	yes	—
1041	C₄²×C₆₇	C₂⁴	1	4	yes	—
1042	C₂³×C₆₇	—	2	4	no	—
1043	C₂³×C₆₇	—	4	2	no	—
1044	C₂³×C₆₇	—	4	4	no	—
1045	C₂³×C₆₇	—	4	4	no	—
1046	C₂³×C₆₇	—	4	2	no	—
1047	C₂³×C₆₇	—	4	4	no	—
1048	C₂³×C₆₇	C₂⁵	1	2	yes	—
1049	C₂³×C₆₇	C₂⁵	1	4	yes	—
1050	C₂³×C₆₇	C₂⁵	1	4	yes	—
1051	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1052	C₂²×D₆₇	—	2	2	no	—
1053	C₂²×D₆₇	—	2	2	no	—
1054	C₂²×D₆₇	—	2	4	no	—
1055	C₂²×D₆₇	—	2	4	no	—
1056	C₂²×D₆₇	—	2	8	no	—
1057	C₂²×D₆₇	—	2	8	no	—
1058	C₂²×D₆₇	—	2	8	no	—
1059	C₂²×D₆₇	—	2	4	no	—
1060	C₂²×D₆₇	—	2	8	no	—
1061	C₂²×D₆₇	—	2	8	no	—
1062	C₂²×D₆₇	—	2	4	no	—
1063	C₂²×D₆₇	—	2	8	no	—
1064	C₂²×D₆₇	—	2	8	no	—
1065	C₂²×D₆₇	—	4	4	no	—
1066	C₂²×D₆₇	—	4	4	no	—
1067	C₂²×D₆₇	—	4	4	no	—
1068	C₂²×D₆₇	—	4	4	no	—
1069	C₂²×D₆₇	—	4	4	no	—
1070	C₂²×D₆₇	—	4	4	no	—
1071	C₂²×D₆₇	—	4	4	no	—
1072	C₂²×D₆₇	—	4	2	no	—
1073	C₂²×D₆₇	—	4	4	no	—
1074	C₂²×D₆₇	—	4	4	no	—
1075	C₂²×D₆₇	—	4	4	no	—
1076	C₂²×D₆₇	—	4	2	no	—
1077	C₂²×D₆₇	—	4	4	no	—
1078	C₂²×D₆₇	—	8	16	no	—
1079	C₂²×D₆₇	—	8	32	no	—
1080	C₂²×D₆₇	H(5,𝔽₂)	1	4	yes	—
1081	C₂²×D₆₇	C₂⁵	1	2	yes	—
1082	C₂²×D₆₇	C₂⁵	1	4	yes	—
1083	C₂²×D₆₇	C₂⁵	1	4	yes	—
1084	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1085	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1086	Q₈×C₆₇	—	2	4	no	—
1087	Q₈×C₆₇	—	4	2	no	—
1088	Q₈×C₆₇	—	4	2	no	—
1089	Q₈×C₆₇	—	4	1	no	—
1090	D₄×C₆₇	—	2	4	no	—
1091	D₄×C₆₇	—	2	8	no	—
1092	D₄×C₆₇	—	2	4	no	—
1093	D₄×C₆₇	—	2	4	no	—
1094	D₄×C₆₇	—	4	2	no	—
1095	D₄×C₆₇	—	4	4	no	—
1096	D₄×C₆₇	—	4	4	no	—
1097	D₄×C₆₇	—	4	4	no	—
1098	D₄×C₆₇	—	4	4	no	—
1099	D₄×C₆₇	—	4	2	no	—
1100	D₄×C₆₇	—	4	1	no	—
1101	D₄×C₆₇	—	4	4	no	—
1102	D₄×C₆₇	—	4	2	no	—
1103	C₂×C₄×C₆₇	—	2	2	no	—
1104	C₂×C₄×C₆₇	—	2	2	no	—
1105	C₂×C₄×C₆₇	—	2	4	no	—
1106	C₂×C₄×C₆₇	—	4	4	no	—
1107	C₂×C₄×C₆₇	—	4	2	no	—
1108	C₂×C₄×C₆₇	—	4	4	no	—
1109	C₂×C₄×C₆₇	—	4	4	no	—
1110	C₂×C₄×C₆₇	—	4	1	no	—
1111	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1112	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1113	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1114	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1115	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1116	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1117	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1118	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1119	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1120	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1121	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1122	C₂²⋊D₆₇	—	2	4	no	—
1123	C₂²⋊D₆₇	—	2	8	no	—
1124	C₂²⋊D₆₇	—	2	4	no	—
1125	C₂²⋊D₆₇	—	2	8	no	—
1126	C₂²⋊D₆₇	—	2	8	no	—
1127	C₂²⋊D₆₇	—	2	8	no	—
1128	C₂²⋊D₆₇	—	4	4	no	—
1129	C₂²⋊D₆₇	—	4	4	no	—
1130	C₂²⋊D₆₇	—	4	4	no	—
1131	C₂²⋊D₆₇	—	4	4	no	—
1132	C₂²⋊D₆₇	—	4	4	no	—
1133	C₂²⋊D₆₇	—	4	4	no	—
1134	C₂²⋊D₆₇	—	4	4	no	—
1135	C₂²⋊D₆₇	—	4	2	no	—
1136	C₂²⋊D₆₇	—	4	4	no	—
1137	C₂²⋊D₆₇	—	4	4	no	—
1138	C₂²⋊D₆₇	—	4	4	no	—
1139	C₂²⋊D₆₇	—	4	4	no	—
1140	C₂²⋊D₆₇	—	4	4	no	—
1141	C₂²⋊D₆₇	—	4	4	no	—
1142	C₂×Dic₆₇	—	2	2	no	—
1143	C₂×Dic₆₇	—	2	2	no	—
1144	C₂×Dic₆₇	—	2	4	no	—
1145	C₂×Dic₆₇	—	4	1	no	—
1146	C₂×Dic₆₇	—	4	4	no	—
1147	C₂×Dic₆₇	—	4	2	no	—
1148	C₂×Dic₆₇	—	4	4	no	—
1149	C₂×Dic₆₇	—	4	4	no	—
1150	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1151	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1152	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1153	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1154	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1155	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1156	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1157	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1158	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1159	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1160	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1161	D₂₆₈	—	2	4	no	—
1162	D₂₆₈	—	2	8	no	—
1163	D₂₆₈	—	2	4	no	—
1164	D₂₆₈	—	2	4	no	—
1165	D₂₆₈	—	4	2	no	—
1166	D₂₆₈	—	4	4	no	—
1167	D₂₆₈	—	4	4	no	—
1168	D₂₆₈	—	4	4	no	—
1169	D₂₆₈	—	4	1	no	—
1170	D₂₆₈	—	4	4	no	—
1171	D₂₆₈	—	4	2	no	—
1172	D₂₆₈	—	4	4	no	—
1173	D₂₆₈	—	4	2	no	—
1174	C₄×D₆₇	—	2	2	no	—
1175	C₄×D₆₇	—	2	4	no	—
1176	C₄×D₆₇	—	2	2	no	—
1177	C₄×D₆₇	—	2	2	no	—
1178	C₄×D₆₇	—	2	2	no	—
1179	C₄×D₆₇	—	2	2	no	—
1180	C₄×D₆₇	—	2	4	no	—
1181	C₄×D₆₇	—	2	8	no	—
1182	C₄×D₆₇	—	2	8	no	—
1183	C₄×D₆₇	—	2	2	no	—
1184	C₄×D₆₇	—	2	2	no	—
1185	C₄×D₆₇	—	2	4	no	—
1186	C₄×D₆₇	—	2	2	no	—
1187	C₄×D₆₇	—	2	4	no	—
1188	C₄×D₆₇	—	2	2	no	—
1189	C₄×D₆₇	—	2	4	no	—
1190	C₄×D₆₇	—	4	1	no	—
1191	C₄×D₆₇	—	4	1	no	—
1192	C₄×D₆₇	—	4	4	no	—
1193	C₄×D₆₇	—	4	4	no	—
1194	C₄×D₆₇	—	4	4	no	—
1195	C₄×D₆₇	—	4	4	no	—
1196	C₄×D₆₇	—	4	4	no	—
1197	C₄×D₆₇	—	4	4	no	—
1198	C₄×D₆₇	—	4	4	no	—
1199	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	—
1200	Dic₁₃₄	—	2	4	no	—
1201	Dic₁₃₄	—	2	8	no	—
1202	Dic₁₃₄	—	4	2	no	—
1203	Dic₁₃₄	—	4	4	no	—
1204	Dic₁₃₄	—	4	2	no	—
1205	Dic₁₃₄	—	4	1	no	—
1206	Dic₁₃₄	—	4	4	no	—
1207	Dic₁₃₄	—	4	2	no	—
1208	C₂²×C₆₇	—	2	1	no	—
1209	C₂²×C₆₇	—	2	1	no	—
1210	C₂²×C₆₇	—	2	2	no	—
1211	C₂²×C₆₇	—	2	4	no	—
1212	C₂²×C₆₇	—	2	4	no	—
1213	C₂²×C₆₇	—	2	4	no	—
1214	C₂²×C₆₇	—	2	2	no	—
1215	C₂²×C₆₇	—	2	4	no	—
1216	C₂²×C₆₇	—	2	4	no	—
1217	C₂²×C₆₇	—	2	4	no	—
1218	C₂²×C₆₇	—	2	2	no	—
1219	C₂²×C₆₇	—	8	4	no	—
1220	C₂²×C₆₇	—	8	8	no	—
1221	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1222	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1223	C₂×D₆₇	—	2	1	no	—
1224	C₂×D₆₇	—	2	1	no	—
1225	C₂×D₆₇	—	2	8	no	—
1226	C₂×D₆₇	—	2	2	no	—
1227	C₂×D₆₇	—	2	4	no	—
1228	C₂×D₆₇	—	2	4	no	—
1229	C₂×D₆₇	—	2	4	no	—
1230	C₂×D₆₇	—	2	2	no	—
1231	C₂×D₆₇	—	2	4	no	—
1232	C₂×D₆₇	—	2	4	no	—
1233	C₂×D₆₇	—	2	2	no	—
1234	C₂×D₆₇	—	2	4	no	—
1235	C₂×D₆₇	—	4	16	no	—
1236	C₂×D₆₇	—	4	8	no	—
1237	C₂×D₆₇	—	4	16	no	—
1238	C₂×D₆₇	—	8	8	no	—
1239	C₂×D₆₇	—	8	4	no	—
1240	C₂×D₆₇	—	8	8	no	—
1241	C₂×D₆₇	—	8	8	no	—
1242	C₂×D₆₇	—	8	8	no	—
1243	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1244	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1245	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1246	C₂×D₆₇	#585	1	2	yes	—
1247	C₄×C₆₇	—	2	4	no	—
1248	C₄×C₆₇	—	2	1	no	—
1249	C₄×C₆₇	—	2	1	no	—
1250	C₄×C₆₇	—	2	4	no	—
1251	C₄×C₆₇	—	2	1	no	—
1252	C₄×C₆₇	—	2	2	no	—
1253	C₄×C₆₇	—	2	2	no	—
1254	C₄×C₆₇	—	2	1	no	—
1255	C₄×C₆₇	—	2	2	no	—
1256	C₄×C₆₇	—	2	1	no	—
1257	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1258	Dic₆₇	—	2	4	no	—
1259	Dic₆₇	—	2	1	no	—
1260	Dic₆₇	—	2	1	no	—
1261	Dic₆₇	—	2	4	no	—
1262	Dic₆₇	—	2	1	no	—
1263	Dic₆₇	—	2	2	no	—
1264	Dic₆₇	—	2	2	no	—
1265	Dic₆₇	—	2	1	no	—
1266	Dic₆₇	—	2	2	no	—
1267	Dic₆₇	—	2	1	no	—
1268	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1269	C₂×#3558	—	67	1	no	maximal, Sylow
1270	C₂×C₆₇	—	2	2	no	—
1271	C₂×C₆₇	—	4	4	no	—
1272	C₂×C₆₇	—	4	2	no	—
1273	C₂×C₆₇	—	4	4	no	—
1274	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1275	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1276	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1277	D₆₇	—	2	2	no	—
1278	D₆₇	—	4	4	no	—
1279	D₆₇	—	4	2	no	—
1280	D₆₇	—	4	4	no	—
1281	D₆₇	#3558	1	4	yes	direct product factor
1282	#3558	—	67	2	no	—
1283	#3558	—	67	2	no	—
1284	#3558	—	67	2	no	—
1285	#3558	—	67	2	no	—
1286	#3558	—	67	2	no	—
1287	#3558	—	67	4	no	—
1288	#3558	—	67	2	no	—
1289	#3558	—	67	2	no	—
1290	#3558	—	67	4	no	—
1291	#3558	—	67	2	no	—
1292	#3558	—	67	2	no	—
1293	#3558	—	67	2	no	—
1294	#3558	—	67	1	no	—
1295	#3558	—	67	1	no	—
1296	#3558	—	67	1	no	—
1297	#3558	D₆₇	1	1	yes	characteristic, direct product factor
1298	C₂×#562	—	67	2	no	—
1299	C₂×H(3,𝔽₄)	—	67	2	no	—
1300	C₂×#559	—	67	2	no	—
1301	C₂×#548	—	67	2	no	—
1302	C₂×#546	—	67	4	no	—
1303	C₂×#546	—	67	2	no	—
1304	C₂×D₄²	—	67	2	no	—
1305	C₂×#542	—	67	2	no	—
1306	C₂×#538	—	67	2	no	—
1307	C₂×#538	—	67	4	no	—
1308	C₂×#535	—	67	2	no	—
1309	C₂×#534	—	67	2	no	—
1310	C₂×#532	—	67	1	no	—
1311	C₂×#529	—	67	1	no	—
1312	C₂²×#124	—	67	1	no	—
1313	C₆₇	C₂×#3558	1	1	yes	characteristic, complemented, Sylow
1314	C₂²×#41	—	67	2	no	—
1315	C₂²×#41	—	67	2	no	—
1316	C₂³×Q₈	—	67	1	no	—
1317	C₂³×D₄	—	67	1	no	—
1318	C₂³×D₄	—	67	4	no	—
1319	C₂³×D₄	—	67	2	no	—
1320	#562	—	67	2	no	—
1321	#562	—	67	2	no	—
1322	#562	—	67	2	no	—
1323	#562	—	67	4	no	—
1324	#562	—	67	4	no	—
1325	#562	—	67	4	no	—
1326	#562	—	67	4	no	—
1327	#562	—	67	4	no	—
1328	#562	—	67	4	no	—
1329	#562	C₂×D₆₇	1	2	yes	complemented
1330	H(3,𝔽₄)	—	67	2	no	—
1331	H(3,𝔽₄)	—	67	4	no	—
1332	H(3,𝔽₄)	—	67	4	no	—
1333	H(3,𝔽₄)	—	67	2	no	—
1334	H(3,𝔽₄)	—	67	4	no	—
1335	H(3,𝔽₄)	—	67	2	no	—
1336	H(3,𝔽₄)	—	67	4	no	—
1337	H(3,𝔽₄)	—	67	4	no	—
1338	H(3,𝔽₄)	—	67	4	no	—
1339	H(3,𝔽₄)	C₂×D₆₇	1	2	yes	complemented
1340	#559	—	67	2	no	—
1341	#559	—	67	2	no	—
1342	#559	—	67	4	no	—
1343	#559	—	67	2	no	—
1344	#559	—	67	4	no	—
1345	#559	—	67	4	no	—
1346	#559	—	67	2	no	—
1347	#559	—	67	2	no	—
1348	#559	—	67	4	no	—
1349	#559	—	67	2	no	—
1350	#559	—	67	2	no	—
1351	#559	C₂×D₆₇	1	2	yes	complemented
1352	#548	—	67	2	no	—
1353	#548	—	67	2	no	—
1354	#548	—	67	4	no	—
1355	#548	—	67	2	no	—
1356	#548	—	67	2	no	—
1357	#548	—	67	4	no	—
1358	#548	—	67	4	no	—
1359	#548	—	67	2	no	—
1360	#548	—	67	2	no	—
1361	#548	—	67	4	no	—
1362	#548	—	67	2	no	—
1363	#548	C₂×D₆₇	1	2	yes	complemented
1364	#546	—	67	4	no	—
1365	#546	—	67	2	no	—
1366	#546	—	67	4	no	—
1367	#546	—	67	2	no	—
1368	#546	—	67	4	no	—
1369	#546	—	67	2	no	—
1370	#546	—	67	4	no	—
1371	#546	—	67	4	no	—
1372	#546	—	67	4	no	—
1373	#546	—	67	4	no	—
1374	#546	—	67	2	no	—
1375	#546	—	67	2	no	—
1376	#546	—	67	4	no	—
1377	#546	—	67	4	no	—
1378	#546	—	67	4	no	—
1379	#546	—	67	4	no	—
1380	#546	—	67	4	no	—
1381	#546	—	67	4	no	—
1382	#546	—	67	4	no	—
1383	#546	—	67	4	no	—
1384	#546	—	67	2	no	—
1385	#546	—	67	4	no	—
1386	#546	—	67	2	no	—
1387	#546	—	67	4	no	—
1388	#546	—	67	4	no	—
1389	#546	—	67	4	no	—
1390	#546	C₂×D₆₇	1	2	yes	complemented
1391	#546	C₂×D₆₇	1	4	yes	complemented
1392	D₄²	—	67	2	no	—
1393	D₄²	—	67	4	no	—
1394	D₄²	—	67	2	no	—
1395	D₄²	—	67	2	no	—
1396	D₄²	—	67	2	no	—
1397	D₄²	—	67	2	no	—
1398	D₄²	—	67	4	no	—
1399	D₄²	—	67	4	no	—
1400	D₄²	—	67	4	no	—
1401	D₄²	—	67	2	no	—
1402	D₄²	—	67	2	no	—
1403	D₄²	C₂×D₆₇	1	2	yes	complemented
1404	#542	—	67	2	no	—
1405	#542	—	67	4	no	—
1406	#542	—	67	4	no	—
1407	#542	—	67	2	no	—
1408	#542	—	67	4	no	—
1409	#542	—	67	4	no	—
1410	#542	—	67	2	no	—
1411	#542	—	67	2	no	—
1412	#542	—	67	2	no	—
1413	#542	—	67	2	no	—
1414	#542	—	67	2	no	—
1415	#542	C₂×D₆₇	1	2	yes	complemented
1416	#538	—	67	4	no	—
1417	#538	—	67	4	no	—
1418	#538	—	67	4	no	—
1419	#538	—	67	4	no	—
1420	#538	—	67	4	no	—
1421	#538	—	67	4	no	—
1422	#538	—	67	4	no	—
1423	#538	—	67	4	no	—
1424	#538	—	67	4	no	—
1425	#538	—	67	2	no	—
1426	#538	—	67	4	no	—
1427	#538	—	67	4	no	—
1428	#538	—	67	4	no	—
1429	#538	—	67	4	no	—
1430	#538	—	67	2	no	—
1431	#538	—	67	4	no	—
1432	#538	—	67	4	no	—
1433	#538	—	67	4	no	—
1434	#538	—	67	4	no	—
1435	#538	—	67	4	no	—
1436	#538	—	67	4	no	—
1437	#538	—	67	4	no	—
1438	#538	—	67	2	no	—
1439	#538	—	67	4	no	—
1440	#538	C₂×D₆₇	1	2	yes	complemented
1441	#538	C₂×D₆₇	1	4	yes	complemented
1442	#535	—	67	2	no	—
1443	#535	—	67	2	no	—
1444	#535	—	67	2	no	—
1445	#535	—	67	2	no	—
1446	#535	—	67	2	no	—
1447	#535	—	67	2	no	—
1448	#535	—	67	4	no	—
1449	#535	—	67	4	no	—
1450	#535	—	67	4	no	—
1451	#535	—	67	4	no	—
1452	#535	—	67	2	no	—
1453	#535	C₂×D₆₇	1	2	yes	complemented
1454	#534	—	67	4	no	—
1455	#534	—	67	4	no	—
1456	#534	—	67	4	no	—
1457	#534	—	67	2	no	—
1458	#534	—	67	2	no	—
1459	#534	—	67	4	no	—
1460	#534	—	67	4	no	—
1461	#534	—	67	4	no	—
1462	#534	—	67	2	no	—
1463	#534	C₂×D₆₇	1	2	yes	complemented
1464	#532	—	67	2	no	—
1465	#532	—	67	1	no	—
1466	#532	—	67	1	no	—
1467	#532	—	67	2	no	—
1468	#532	—	67	2	no	—
1469	#532	—	67	2	no	—
1470	#532	—	67	2	no	—
1471	#532	—	67	2	no	—
1472	#532	—	67	1	no	—
1473	#532	C₂×D₆₇	1	1	yes	characteristic, complemented
1474	C₂×C₄⋊Q₈	—	67	1	no	—
1475	C₂×#127	—	67	2	no	—
1476	C₂×#127	—	67	1	no	—
1477	#529	—	67	2	no	—
1478	#529	—	67	1	no	—
1479	#529	—	67	1	no	—
1480	#529	—	67	2	no	—
1481	#529	—	67	1	no	—
1482	#529	—	67	1	no	—
1483	#529	—	67	1	no	—
1484	#529	—	67	2	no	—
1485	#529	—	67	1	no	—
1486	#529	—	67	2	no	—
1487	#529	—	67	1	no	—
1488	#529	C₂×D₆₇	1	1	yes	characteristic, complemented
1489	C₂×#126	—	67	2	no	—
1490	C₂×#126	—	67	4	no	—
1491	C₂×#125	—	67	1	no	—
1492	C₂×#124	—	67	1	no	—
1493	C₂×#124	—	67	1	no	—
1494	C₂×#124	—	67	2	no	—
1495	C₂×#124	—	67	2	no	—
1496	C₂×#124	—	67	2	no	—
1497	C₂×#124	—	67	2	no	—
1498	C₂×#124	—	67	2	no	—
1499	C₂×#124	—	67	2	no	—
1500	C₂×#124	—	67	2	no	—
1501	C₂×#124	—	67	2	no	—
1502	C₂×#124	—	67	1	no	—
1503	C₂×#124	—	67	2	no	—
1504	C₂×#124	—	67	2	no	—
1505	C₂×#124	—	67	4	no	—
1506	C₂×#124	—	67	4	no	—
1507	C₂×#124	—	67	4	no	—
1508	C₂×#124	—	67	2	no	—
1509	C₂×#124	—	67	2	no	—
1510	C₂×#124	—	67	1	no	—
1511	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
1512	C₂×#123	—	67	2	no	—
1513	C₂×#123	—	67	4	no	—
1514	C₂×#123	—	67	4	no	—
1515	C₂×#123	—	67	4	no	—
1516	C₂×#123	—	67	4	no	—
1517	C₂×C₂²⋊Q₈	—	67	1	no	—
1518	C₂×C₂²⋊Q₈	—	67	4	no	—
1519	C₂×C₂²⋊Q₈	—	67	2	no	—
1520	C₂×C₂²⋊Q₈	—	67	4	no	—
1521	C₂×#121	—	67	1	no	—
1522	C₂×#121	—	67	2	no	—
1523	C₂×#121	—	67	2	no	—
1524	C₂×#121	—	67	2	no	—
1525	C₂×#121	—	67	4	no	—
1526	C₂×#121	—	67	4	no	—
1527	C₂×#121	—	67	4	no	—
1528	C₂×#121	—	67	4	no	—
1529	C₂×#121	—	67	4	no	—
1530	C₂×#120	—	67	4	no	—
1531	C₂×#120	—	67	4	no	—
1532	C₂×#120	—	67	4	no	—
1533	C₂×#120	—	67	4	no	—
1534	C₂×#120	—	67	4	no	—
1535	C₂×C₄×Q₈	—	67	1	no	—
1536	C₂×C₄×Q₈	—	67	2	no	—
1537	C₂×C₄×D₄	—	67	2	no	—
1538	C₂×C₄×D₄	—	67	1	no	—
1539	C₂×C₄×D₄	—	67	2	no	—
1540	C₂×C₄×D₄	—	67	2	no	—
1541	C₂×C₄×D₄	—	67	4	no	—
1542	C₂×C₄×D₄	—	67	4	no	—
1543	C₂×C₄×D₄	—	67	2	no	—
1544	C₂×#117	—	67	2	no	—
1545	C₂²×C₂²⋊C₄	—	67	2	no	—
1546	C₂²×C₂²⋊C₄	—	67	2	no	—
1547	C₂²×C₂²⋊C₄	—	67	4	no	—
1548	C₂²×C₄²	—	67	1	no	—
1549	C₂⁵	—	67	4	no	—
1550	C₂⁵	—	67	2	no	—
1551	C₂×#41	—	268	8	no	—
1552	C₂×#41	—	268	8	no	—
1553	C₂×#41	—	67	2	no	—
1554	C₂×#41	—	67	2	no	—
1555	C₂×#41	—	67	2	no	—
1556	C₂×#41	—	67	4	no	—
1557	C₂×#41	—	67	2	no	—
1558	C₂×#41	—	67	4	no	—
1559	C₂×#41	—	67	2	no	—
1560	C₂×#41	—	67	4	no	—
1561	C₂×#41	—	67	2	no	—
1562	C₂×#41	—	67	4	no	—
1563	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1564	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1565	C₂²×Q₈	—	268	4	no	—
1566	C₂²×Q₈	—	67	1	no	—
1567	C₂²×Q₈	—	67	2	no	—
1568	C₂²×Q₈	—	67	2	no	—
1569	C₂²×Q₈	—	67	2	no	—
1570	C₂²×Q₈	—	67	2	no	—
1571	C₂²×Q₈	—	67	2	no	—
1572	C₂²×Q₈	—	67	1	no	—
1573	C₂²×Q₈	—	67	2	no	—
1574	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1575	C₂²×D₄	—	268	16	no	—
1576	C₂²×D₄	—	268	4	no	—
1577	C₂²×D₄	—	268	8	no	—
1578	C₂²×D₄	—	67	2	no	—
1579	C₂²×D₄	—	67	4	no	—
1580	C₂²×D₄	—	67	4	no	—
1581	C₂²×D₄	—	67	4	no	—
1582	C₂²×D₄	—	67	1	no	—
1583	C₂²×D₄	—	67	4	no	—
1584	C₂²×D₄	—	67	2	no	—
1585	C₂²×D₄	—	67	4	no	—
1586	C₂²×D₄	—	67	4	no	—
1587	C₂²×D₄	—	67	2	no	—
1588	C₂²×D₄	—	67	2	no	—
1589	C₂²×D₄	—	67	4	no	—
1590	C₂²×D₄	—	67	4	no	—
1591	C₂²×D₄	—	67	2	no	—
1592	C₂²×D₄	—	67	2	no	—
1593	C₂²×D₄	—	67	4	no	—
1594	C₂²×D₄	—	67	4	no	—
1595	C₂²×D₄	—	67	4	no	—
1596	C₂²×D₄	—	67	4	no	—
1597	C₂²×D₄	—	67	2	no	—
1598	C₂²×D₄	—	67	2	no	—
1599	C₂²×D₄	—	67	4	no	—
1600	C₂²×D₄	—	67	4	no	—
1601	C₂²×D₄	—	67	2	no	—
1602	C₂²×D₄	—	67	2	no	—
1603	C₂²×D₄	—	67	2	no	—
1604	C₂²×D₄	—	67	1	no	—
1605	C₂²×D₄	—	67	4	no	—
1606	C₂²×D₄	—	67	2	no	—
1607	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1608	C₂²×D₄	C₂²×D₆₇	1	4	yes	complemented
1609	C₂²×D₄	C₂²×D₆₇	1	2	yes	complemented
1610	C₂³×C₄	—	67	2	no	—
1611	C₂³×C₄	—	67	1	no	—
1612	C₂³×C₄	—	67	4	no	—
1613	C₂³×C₄	—	67	4	no	—
1614	C₂³×C₄	—	67	4	no	—
1615	C₂³×C₄	—	67	1	no	—
1616	C₂³×C₄	—	67	2	no	—
1617	C₂³×C₄	—	67	1	no	—
1618	C₄⋊Q₈	—	67	2	no	—
1619	C₄⋊Q₈	—	67	2	no	—
1620	C₄⋊Q₈	—	67	2	no	—
1621	C₄⋊Q₈	—	67	1	no	—
1622	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1623	#127	—	67	2	no	—
1624	#127	—	67	2	no	—
1625	#127	—	67	2	no	—
1626	#127	—	67	2	no	—
1627	#127	—	67	2	no	—
1628	#127	—	67	4	no	—
1629	#127	—	67	4	no	—
1630	#127	—	67	1	no	—
1631	#127	—	67	2	no	—
1632	#127	C₂²×D₆₇	1	2	yes	—
1633	#127	C₂²×D₆₇	1	1	yes	characteristic, complemented
1634	#126	—	67	2	no	—
1635	#126	—	67	2	no	—
1636	#126	—	67	2	no	—
1637	#126	—	67	4	no	—
1638	#126	—	67	4	no	—
1639	#126	—	67	4	no	—
1640	#126	—	67	2	no	—
1641	#126	—	67	2	no	—
1642	#126	—	67	2	no	—
1643	#126	—	67	4	no	—
1644	#126	—	67	4	no	—
1645	#126	—	67	4	no	—
1646	#126	—	67	2	no	—
1647	#126	—	67	4	no	—
1648	#126	C₂²×D₆₇	1	2	yes	complemented
1649	#126	C₂²×D₆₇	1	4	yes	complemented
1650	#125	—	67	2	no	—
1651	#125	—	67	2	no	—
1652	#125	—	67	1	no	—
1653	#125	—	67	1	no	—
1654	#125	—	67	1	no	—
1655	#125	C₂²×D₆₇	1	1	yes	characteristic, complemented
1656	#124	—	67	2	no	—
1657	#124	—	67	2	no	—
1658	#124	—	67	2	no	—
1659	#124	—	67	2	no	—
1660	#124	—	67	1	no	—
1661	#124	—	67	2	no	—
1662	#124	—	67	2	no	—
1663	#124	—	67	4	no	—
1664	#124	—	67	4	no	—
1665	#124	—	67	4	no	—
1666	#124	—	67	2	no	—
1667	#124	—	67	2	no	—
1668	#124	—	67	2	no	—
1669	#124	—	67	2	no	—
1670	#124	—	67	1	no	—
1671	#124	—	67	2	no	—
1672	#124	—	67	2	no	—
1673	#124	—	67	4	no	—
1674	#124	—	67	4	no	—
1675	#124	—	67	4	no	—
1676	#124	—	67	4	no	—
1677	#124	—	67	4	no	—
1678	#124	—	67	4	no	—
1679	#124	—	67	4	no	—
1680	#124	—	67	4	no	—
1681	#124	—	67	4	no	—
1682	#124	—	67	4	no	—
1683	#124	—	67	4	no	—
1684	#124	—	67	2	no	—
1685	#124	—	67	2	no	—
1686	#124	—	67	4	no	—
1687	#124	—	67	4	no	—
1688	#124	—	67	4	no	—
1689	#124	—	67	4	no	—
1690	#124	—	67	4	no	—
1691	#124	—	67	4	no	—
1692	#124	—	67	4	no	—
1693	#124	—	67	4	no	—
1694	#124	—	67	4	no	—
1695	#124	—	67	4	no	—
1696	#124	—	67	4	no	—
1697	#124	—	67	4	no	—
1698	#124	—	67	4	no	—
1699	#124	—	67	4	no	—
1700	#124	—	67	4	no	—
1701	#124	—	67	4	no	—
1702	#124	—	67	2	no	—
1703	#124	—	67	2	no	—
1704	#124	—	67	2	no	—
1705	#124	—	67	2	no	—
1706	#124	—	67	1	no	—
1707	#124	—	67	2	no	—
1708	#124	—	67	2	no	—
1709	#124	—	67	4	no	—
1710	#124	—	67	4	no	—
1711	#124	—	67	4	no	—
1712	#124	C₂²×D₆₇	1	2	yes	complemented
1713	#124	C₂²×D₆₇	1	2	yes	complemented
1714	#124	C₂²×D₆₇	1	2	yes	complemented
1715	#124	C₂²×D₆₇	1	2	yes	complemented
1716	#124	C₂²×D₆₇	1	1	yes	characteristic, complemented
1717	#124	C₂²×D₆₇	1	2	yes	complemented
1718	#124	C₂²×D₆₇	1	2	yes	complemented
1719	#124	C₂²×D₆₇	1	4	yes	complemented
1720	#124	C₂²×D₆₇	1	4	yes	complemented
1721	#124	C₂²×D₆₇	1	4	yes	complemented
1722	#123	—	67	2	no	—
1723	#123	—	67	4	no	—
1724	#123	—	67	4	no	—
1725	#123	—	67	4	no	—
1726	#123	—	67	4	no	—
1727	#123	—	67	2	no	—
1728	#123	—	67	4	no	—
1729	#123	—	67	4	no	—
1730	#123	—	67	4	no	—
1731	#123	—	67	4	no	—
1732	#123	—	67	2	no	—
1733	#123	—	67	2	no	—
1734	#123	—	67	4	no	—
1735	#123	—	67	4	no	—
1736	#123	—	67	4	no	—
1737	#123	—	67	4	no	—
1738	#123	—	67	4	no	—
1739	#123	—	67	4	no	—
1740	#123	—	67	4	no	—
1741	#123	—	67	4	no	—
1742	#123	—	67	2	no	—
1743	#123	—	67	2	no	—
1744	#123	—	67	2	no	—
1745	#123	—	67	4	no	—
1746	#123	—	67	4	no	—
1747	#123	—	67	4	no	—
1748	#123	—	67	4	no	—
1749	#123	—	67	4	no	—
1750	#123	—	67	4	no	—
1751	#123	—	67	4	no	—
1752	#123	—	67	4	no	—
1753	#123	—	67	4	no	—
1754	#123	—	67	4	no	—
1755	#123	—	67	4	no	—
1756	#123	—	67	4	no	—
1757	#123	C₂²×D₆₇	1	2	yes	complemented
1758	#123	C₂²×D₆₇	1	4	yes	complemented
1759	#123	C₂²×D₆₇	1	4	yes	complemented
1760	#123	C₂²×D₆₇	1	4	yes	complemented
1761	#123	C₂²×D₆₇	1	4	yes	complemented
1762	C₂²⋊Q₈	—	67	1	no	—
1763	C₂²⋊Q₈	—	67	4	no	—
1764	C₂²⋊Q₈	—	67	2	no	—
1765	C₂²⋊Q₈	—	67	4	no	—
1766	C₂²⋊Q₈	—	67	1	no	—
1767	C₂²⋊Q₈	—	67	4	no	—
1768	C₂²⋊Q₈	—	67	2	no	—
1769	C₂²⋊Q₈	—	67	4	no	—
1770	C₂²⋊Q₈	—	67	2	no	—
1771	C₂²⋊Q₈	—	67	1	no	—
1772	C₂²⋊Q₈	—	67	4	no	—
1773	C₂²⋊Q₈	—	67	4	no	—
1774	C₂²⋊Q₈	—	67	4	no	—
1775	C₂²⋊Q₈	—	67	4	no	—
1776	C₂²⋊Q₈	—	67	2	no	—
1777	C₂²⋊Q₈	—	67	4	no	—
1778	C₂²⋊Q₈	—	67	4	no	—
1779	C₂²⋊Q₈	—	67	4	no	—
1780	C₂²⋊Q₈	—	67	2	no	—
1781	C₂²⋊Q₈	—	67	4	no	—
1782	C₂²⋊Q₈	—	67	4	no	—
1783	C₂²⋊Q₈	—	67	4	no	—
1784	C₂²⋊Q₈	—	67	4	no	—
1785	C₂²⋊Q₈	—	67	4	no	—
1786	C₂²⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1787	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1788	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1789	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1790	#121	—	67	1	no	—
1791	#121	—	67	2	no	—
1792	#121	—	67	2	no	—
1793	#121	—	67	4	no	—
1794	#121	—	67	2	no	—
1795	#121	—	67	4	no	—
1796	#121	—	67	4	no	—
1797	#121	—	67	4	no	—
1798	#121	—	67	4	no	—
1799	#121	—	67	4	no	—
1800	#121	—	67	4	no	—
1801	#121	—	67	4	no	—
1802	#121	—	67	4	no	—
1803	#121	—	67	4	no	—
1804	#121	—	67	4	no	—
1805	#121	—	67	4	no	—
1806	#121	—	67	4	no	—
1807	#121	—	67	4	no	—
1808	#121	—	67	4	no	—
1809	#121	—	67	4	no	—
1810	#121	—	67	4	no	—
1811	#121	—	67	2	no	—
1812	#121	—	67	4	no	—
1813	#121	—	67	1	no	—
1814	#121	—	67	2	no	—
1815	#121	—	67	2	no	—
1816	#121	—	67	4	no	—
1817	#121	—	67	4	no	—
1818	#121	—	67	4	no	—
1819	#121	—	67	4	no	—
1820	#121	—	67	4	no	—
1821	#121	—	67	2	no	—
1822	#121	—	67	1	no	—
1823	#121	—	67	2	no	—
1824	#121	—	67	2	no	—
1825	#121	—	67	4	no	—
1826	#121	—	67	4	no	—
1827	#121	—	67	4	no	—
1828	#121	—	67	4	no	—
1829	#121	—	67	4	no	—
1830	#121	—	67	2	no	—
1831	#121	—	67	2	no	—
1832	#121	—	67	4	no	—
1833	#121	—	67	4	no	—
1834	#121	—	67	4	no	—
1835	#121	—	67	4	no	—
1836	#121	—	67	4	no	—
1837	#121	—	67	4	no	—
1838	#121	—	67	4	no	—
1839	#121	—	67	4	no	—
1840	#121	—	67	4	no	—
1841	#121	—	67	4	no	—
1842	#121	—	67	4	no	—
1843	#121	—	67	4	no	—
1844	#121	—	67	4	no	—
1845	#121	C₂²×D₆₇	1	1	yes	characteristic
1846	#121	C₂²×D₆₇	1	2	yes	—
1847	#121	C₂²×D₆₇	1	2	yes	complemented
1848	#121	C₂²×D₆₇	1	2	yes	complemented
1849	#121	C₂²×D₆₇	1	4	yes	complemented
1850	#121	C₂²×D₆₇	1	4	yes	complemented
1851	#121	C₂²×D₆₇	1	4	yes	complemented
1852	#121	C₂²×D₆₇	1	4	yes	complemented
1853	#121	C₂²×D₆₇	1	4	yes	complemented
1854	#120	—	67	4	no	—
1855	#120	—	67	4	no	—
1856	#120	—	67	4	no	—
1857	#120	—	67	4	no	—
1858	#120	—	67	4	no	—
1859	#120	—	67	4	no	—
1860	#120	—	67	4	no	—
1861	#120	—	67	4	no	—
1862	#120	—	67	4	no	—
1863	#120	—	67	4	no	—
1864	#120	—	67	4	no	—
1865	#120	—	67	4	no	—
1866	#120	—	67	4	no	—
1867	#120	—	67	4	no	—
1868	#120	—	67	4	no	—
1869	#120	—	67	4	no	—
1870	#120	—	67	4	no	—
1871	#120	—	67	4	no	—
1872	#120	—	67	4	no	—
1873	#120	—	67	4	no	—
1874	#120	—	67	4	no	—
1875	#120	—	67	4	no	—
1876	#120	—	67	4	no	—
1877	#120	—	67	4	no	—
1878	#120	—	67	4	no	—
1879	#120	—	67	4	no	—
1880	#120	—	67	4	no	—
1881	#120	—	67	4	no	—
1882	#120	—	67	4	no	—
1883	#120	—	67	4	no	—
1884	#120	—	67	4	no	—
1885	#120	—	67	4	no	—
1886	#120	—	67	4	no	—
1887	#120	—	67	4	no	—
1888	#120	—	67	4	no	—
1889	#120	C₂²×D₆₇	1	4	yes	complemented
1890	#120	C₂²×D₆₇	1	4	yes	complemented
1891	#120	C₂²×D₆₇	1	4	yes	complemented
1892	#120	C₂²×D₆₇	1	4	yes	complemented
1893	#120	C₂²×D₆₇	1	4	yes	complemented
1894	C₄×Q₈	—	67	1	no	—
1895	C₄×Q₈	—	67	2	no	—
1896	C₄×Q₈	—	67	1	no	—
1897	C₄×Q₈	—	67	2	no	—
1898	C₄×Q₈	—	67	4	no	—
1899	C₄×Q₈	—	67	2	no	—
1900	C₄×Q₈	—	67	2	no	—
1901	C₄×Q₈	—	67	1	no	—
1902	C₄×Q₈	—	67	4	no	—
1903	C₄×Q₈	—	67	2	no	—
1904	C₄×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1905	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1906	C₄×D₄	—	67	2	no	—
1907	C₄×D₄	—	67	1	no	—
1908	C₄×D₄	—	67	2	no	—
1909	C₄×D₄	—	67	2	no	—
1910	C₄×D₄	—	67	4	no	—
1911	C₄×D₄	—	67	4	no	—
1912	C₄×D₄	—	67	2	no	—
1913	C₄×D₄	—	67	2	no	—
1914	C₄×D₄	—	67	2	no	—
1915	C₄×D₄	—	67	2	no	—
1916	C₄×D₄	—	67	4	no	—
1917	C₄×D₄	—	67	4	no	—
1918	C₄×D₄	—	67	4	no	—
1919	C₄×D₄	—	67	4	no	—
1920	C₄×D₄	—	67	4	no	—
1921	C₄×D₄	—	67	4	no	—
1922	C₄×D₄	—	67	4	no	—
1923	C₄×D₄	—	67	2	no	—
1924	C₄×D₄	—	67	1	no	—
1925	C₄×D₄	—	67	2	no	—
1926	C₄×D₄	—	67	2	no	—
1927	C₄×D₄	—	67	4	no	—
1928	C₄×D₄	—	67	4	no	—
1929	C₄×D₄	—	67	2	no	—
1930	C₄×D₄	—	67	2	no	—
1931	C₄×D₄	—	67	2	no	—
1932	C₄×D₄	—	67	2	no	—
1933	C₄×D₄	—	67	4	no	—
1934	C₄×D₄	—	67	4	no	—
1935	C₄×D₄	—	67	4	no	—
1936	C₄×D₄	—	67	4	no	—
1937	C₄×D₄	—	67	4	no	—
1938	C₄×D₄	—	67	4	no	—
1939	C₄×D₄	—	67	4	no	—
1940	C₄×D₄	—	67	2	no	—
1941	C₄×D₄	—	67	1	no	—
1942	C₄×D₄	—	67	2	no	—
1943	C₄×D₄	—	67	2	no	—
1944	C₄×D₄	—	67	4	no	—
1945	C₄×D₄	—	67	4	no	—
1946	C₄×D₄	—	67	2	no	—
1947	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1948	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
1949	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1950	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1951	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1952	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1953	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1954	#117	—	67	2	no	—
1955	#117	—	67	2	no	—
1956	#117	—	67	2	no	—
1957	#117	—	67	2	no	—
1958	#117	—	67	2	no	—
1959	#117	—	67	2	no	—
1960	#117	—	67	2	no	—
1961	#117	C₂²×D₆₇	1	2	yes	complemented
1962	C₂×C₄⋊C₄	—	67	2	no	—
1963	C₂×C₄⋊C₄	—	67	2	no	—
1964	C₂×C₄⋊C₄	—	67	2	no	—
1965	C₂×C₄⋊C₄	—	67	2	no	—
1966	C₂×C₄⋊C₄	—	67	2	no	—
1967	C₂×C₄⋊C₄	—	67	4	no	—
1968	C₂×C₄⋊C₄	—	67	2	no	—
1969	C₂×C₄⋊C₄	—	67	1	no	—
1970	C₂×C₄⋊C₄	—	67	4	no	—
1971	C₂×C₄⋊C₄	—	67	1	no	—
1972	C₂×C₂²⋊C₄	—	67	2	no	—
1973	C₂×C₂²⋊C₄	—	67	2	no	—
1974	C₂×C₂²⋊C₄	—	67	4	no	—
1975	C₂×C₂²⋊C₄	—	67	2	no	—
1976	C₂×C₂²⋊C₄	—	67	2	no	—
1977	C₂×C₂²⋊C₄	—	67	2	no	—
1978	C₂×C₂²⋊C₄	—	67	2	no	—
1979	C₂×C₂²⋊C₄	—	67	4	no	—
1980	C₂×C₂²⋊C₄	—	67	4	no	—
1981	C₂×C₂²⋊C₄	—	67	2	no	—
1982	C₂×C₂²⋊C₄	—	67	4	no	—
1983	C₂×C₂²⋊C₄	—	67	4	no	—
1984	C₂×C₂²⋊C₄	—	67	4	no	—
1985	C₂×C₂²⋊C₄	—	67	4	no	—
1986	C₂×C₂²⋊C₄	—	67	4	no	—
1987	C₂×C₂²⋊C₄	—	67	4	no	—
1988	C₂×C₂²⋊C₄	—	67	4	no	—
1989	C₂×C₂²⋊C₄	—	67	4	no	—
1990	C₂×C₂²⋊C₄	—	67	4	no	—
1991	C₂×C₂²⋊C₄	—	67	4	no	—
1992	C₂×C₂²⋊C₄	—	67	4	no	—
1993	C₂×C₂²⋊C₄	—	67	4	no	—
1994	C₂×C₂²⋊C₄	—	67	4	no	—
1995	C₂×C₂²⋊C₄	—	67	4	no	—
1996	C₂×C₂²⋊C₄	—	67	2	no	—
1997	C₂×C₂²⋊C₄	—	67	2	no	—
1998	C₂×C₂²⋊C₄	—	67	2	no	—
1999	C₂×C₂²⋊C₄	—	67	4	no	—
2000	C₂×C₂²⋊C₄	—	67	2	no	—
2001	C₂×C₂²⋊C₄	—	67	4	no	—
2002	C₂×C₂²⋊C₄	—	67	4	no	—
2003	C₂×C₂²⋊C₄	—	67	4	no	—
2004	C₂×C₂²⋊C₄	—	67	4	no	—
2005	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2006	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	complemented
2007	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
2008	C₂×C₄²	—	67	1	no	—
2009	C₂×C₄²	—	67	1	no	—
2010	C₂×C₄²	—	67	1	no	—
2011	C₂×C₄²	—	67	1	no	—
2012	C₂×C₄²	—	67	2	no	—
2013	C₂×C₄²	—	67	1	no	—
2014	C₂×C₄²	—	67	4	no	—
2015	C₂×C₄²	—	67	1	no	—
2016	C₂×C₄²	—	67	1	no	—
2017	C₂×C₄²	—	67	1	no	—
2018	C₂×C₄²	—	67	1	no	—
2019	C₂×C₄²	—	67	1	no	—
2020	C₂×C₄²	—	67	1	no	—
2021	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic, complemented
2022	C₂⁴	—	268	8	no	—
2023	C₂⁴	—	268	8	no	—
2024	C₂⁴	—	268	4	no	—
2025	C₂⁴	—	268	8	no	—
2026	C₂⁴	—	268	4	no	—
2027	C₂⁴	—	67	4	no	—
2028	C₂⁴	—	67	4	no	—
2029	C₂⁴	—	67	4	no	—
2030	C₂⁴	—	67	4	no	—
2031	C₂⁴	—	67	2	no	—
2032	C₂⁴	—	67	1	no	—
2033	C₂⁴	—	67	4	no	—
2034	C₂⁴	—	67	2	no	—
2035	C₂⁴	—	67	4	no	—
2036	C₂⁴	—	134	8	no	—
2037	C₂⁴	C₂³×D₆₇	1	2	yes	—
2038	C₂⁴	C₂³×D₆₇	1	4	yes	—
2039	#41	—	4	4	no	—
2040	#41	—	4	4	no	—
2041	#41	—	268	4	no	—
2042	#41	—	268	4	no	—
2043	#41	—	268	8	no	—
2044	#41	—	268	8	no	—
2045	#41	—	268	4	no	—
2046	#41	—	268	8	no	—
2047	#41	—	268	8	no	—
2048	#41	—	268	4	no	—
2049	#41	—	268	4	no	—
2050	#41	—	268	4	no	—
2051	C₂×Q₈	—	4	2	no	—
2052	C₂×Q₈	—	268	2	no	—
2053	C₂×Q₈	—	268	4	no	—
2054	C₂×Q₈	—	268	4	no	—
2055	C₂×Q₈	—	268	4	no	—
2056	C₂×Q₈	—	268	4	no	—
2057	C₂×Q₈	—	268	4	no	—
2058	C₂×Q₈	—	268	2	no	—
2059	C₂×Q₈	—	67	1	no	—
2060	C₂×Q₈	—	67	2	no	—
2061	C₂×Q₈	—	67	4	no	—
2062	C₂×Q₈	—	67	2	no	—
2063	C₂×Q₈	—	67	4	no	—
2064	C₂×Q₈	—	67	2	no	—
2065	C₂×Q₈	—	67	4	no	—
2066	C₂×Q₈	—	67	2	no	—
2067	C₂×Q₈	—	134	8	no	—
2068	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2069	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2070	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2071	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2072	C₂×D₄	—	4	2	no	—
2073	C₂×D₄	—	4	4	no	—
2074	C₂×D₄	—	4	8	no	—
2075	C₂×D₄	—	268	2	no	—
2076	C₂×D₄	—	268	4	no	—
2077	C₂×D₄	—	268	8	no	—
2078	C₂×D₄	—	268	8	no	—
2079	C₂×D₄	—	268	8	no	—
2080	C₂×D₄	—	268	8	no	—
2081	C₂×D₄	—	268	8	no	—
2082	C₂×D₄	—	268	8	no	—
2083	C₂×D₄	—	268	8	no	—
2084	C₂×D₄	—	268	4	no	—
2085	C₂×D₄	—	268	4	no	—
2086	C₂×D₄	—	268	4	no	—
2087	C₂×D₄	—	268	8	no	—
2088	C₂×D₄	—	268	8	no	—
2089	C₂×D₄	—	268	8	no	—
2090	C₂×D₄	—	268	4	no	—
2091	C₂×D₄	—	268	8	no	—
2092	C₂×D₄	—	268	4	no	—
2093	C₂×D₄	—	268	4	no	—
2094	C₂×D₄	—	268	2	no	—
2095	C₂×D₄	—	268	8	no	—
2096	C₂×D₄	—	268	4	no	—
2097	C₂×D₄	—	268	8	no	—
2098	C₂×D₄	—	268	4	no	—
2099	C₂×D₄	—	268	8	no	—
2100	C₂×D₄	—	67	2	no	—
2101	C₂×D₄	—	67	4	no	—
2102	C₂×D₄	—	67	4	no	—
2103	C₂×D₄	—	67	4	no	—
2104	C₂×D₄	—	67	4	no	—
2105	C₂×D₄	—	67	4	no	—
2106	C₂×D₄	—	67	4	no	—
2107	C₂×D₄	—	67	4	no	—
2108	C₂×D₄	—	67	4	no	—
2109	C₂×D₄	—	67	4	no	—
2110	C₂×D₄	—	67	4	no	—
2111	C₂×D₄	—	67	4	no	—
2112	C₂×D₄	—	67	4	no	—
2113	C₂×D₄	—	67	4	no	—
2114	C₂×D₄	—	67	4	no	—
2115	C₂×D₄	—	67	4	no	—
2116	C₂×D₄	—	67	2	no	—
2117	C₂×D₄	—	67	2	no	—
2118	C₂×D₄	—	67	4	no	—
2119	C₂×D₄	—	67	4	no	—
2120	C₂×D₄	—	67	1	no	—
2121	C₂×D₄	—	67	4	no	—
2122	C₂×D₄	—	67	2	no	—
2123	C₂×D₄	—	67	4	no	—
2124	C₂×D₄	—	67	4	no	—
2125	C₂×D₄	—	67	2	no	—
2126	C₂×D₄	—	67	2	no	—
2127	C₂×D₄	—	67	4	no	—
2128	C₂×D₄	—	67	4	no	—
2129	C₂×D₄	—	67	4	no	—
2130	C₂×D₄	—	67	2	no	—
2131	C₂×D₄	—	67	2	no	—
2132	C₂×D₄	—	67	2	no	—
2133	C₂×D₄	—	134	8	no	—
2134	C₂×D₄	—	134	8	no	—
2135	C₂×D₄	—	134	8	no	—
2136	C₂×D₄	—	134	16	no	—
2137	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2138	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2139	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2140	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2141	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2142	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2143	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2144	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2145	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2146	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2147	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2148	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2149	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2150	C₂²×C₄	—	268	8	no	—
2151	C₂²×C₄	—	268	4	no	—
2152	C₂²×C₄	—	268	8	no	—
2153	C₂²×C₄	—	268	8	no	—
2154	C₂²×C₄	—	268	2	no	—
2155	C₂²×C₄	—	67	1	no	—
2156	C₂²×C₄	—	67	2	no	—
2157	C₂²×C₄	—	67	4	no	—
2158	C₂²×C₄	—	67	4	no	—
2159	C₂²×C₄	—	67	4	no	—
2160	C₂²×C₄	—	67	1	no	—
2161	C₂²×C₄	—	67	1	no	—
2162	C₂²×C₄	—	67	4	no	—
2163	C₂²×C₄	—	67	4	no	—
2164	C₂²×C₄	—	67	4	no	—
2165	C₂²×C₄	—	67	4	no	—
2166	C₂²×C₄	—	67	4	no	—
2167	C₂²×C₄	—	67	4	no	—
2168	C₂²×C₄	—	67	4	no	—
2169	C₂²×C₄	—	67	1	no	—
2170	C₂²×C₄	—	67	1	no	—
2171	C₂²×C₄	—	67	1	no	—
2172	C₂²×C₄	—	67	2	no	—
2173	C₂²×C₄	—	67	2	no	—
2174	C₂²×C₄	—	67	1	no	—
2175	C₂²×C₄	—	67	1	no	—
2176	C₂²×C₄	—	67	1	no	—
2177	C₂²×C₄	—	67	1	no	—
2178	C₂²×C₄	—	67	1	no	—
2179	C₂²×C₄	—	67	1	no	—
2180	C₂²×C₄	—	67	1	no	—
2181	C₂²×C₄	—	67	1	no	—
2182	C₂²×C₄	—	67	1	no	—
2183	C₂²×C₄	—	67	4	no	—
2184	C₂²×C₄	—	67	4	no	—
2185	C₂²×C₄	—	67	2	no	—
2186	C₂²×C₄	—	67	2	no	—
2187	C₂²×C₄	—	67	2	no	—
2188	C₂²×C₄	—	67	2	no	—
2189	C₂²×C₄	—	134	4	no	—
2190	C₂²×C₄	—	134	8	no	—
2191	C₂²×C₄	—	134	4	no	—
2192	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2193	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2194	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2195	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2196	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2197	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2198	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2199	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2200	C₄⋊C₄	—	67	2	no	—
2201	C₄⋊C₄	—	67	2	no	—
2202	C₄⋊C₄	—	67	2	no	—
2203	C₄⋊C₄	—	67	2	no	—
2204	C₄⋊C₄	—	67	2	no	—
2205	C₄⋊C₄	—	67	2	no	—
2206	C₄⋊C₄	—	67	4	no	—
2207	C₄⋊C₄	—	67	2	no	—
2208	C₄⋊C₄	—	67	2	no	—
2209	C₄⋊C₄	—	67	2	no	—
2210	C₄⋊C₄	—	67	2	no	—
2211	C₄⋊C₄	—	67	2	no	—
2212	C₄⋊C₄	—	67	2	no	—
2213	C₄⋊C₄	—	67	2	no	—
2214	C₄⋊C₄	—	67	4	no	—
2215	C₄⋊C₄	—	67	4	no	—
2216	C₄⋊C₄	—	67	4	no	—
2217	C₄⋊C₄	—	67	4	no	—
2218	C₄⋊C₄	—	67	2	no	—
2219	C₄⋊C₄	—	67	2	no	—
2220	C₄⋊C₄	—	67	1	no	—
2221	C₄⋊C₄	—	67	4	no	—
2222	C₄⋊C₄	—	67	4	no	—
2223	C₄⋊C₄	—	67	4	no	—
2224	C₄⋊C₄	—	67	2	no	—
2225	C₄⋊C₄	—	67	1	no	—
2226	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2227	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2228	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2229	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2230	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2231	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2232	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2233	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2234	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2235	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2236	C₂²⋊C₄	—	67	2	no	—
2237	C₂²⋊C₄	—	67	4	no	—
2238	C₂²⋊C₄	—	67	4	no	—
2239	C₂²⋊C₄	—	67	4	no	—
2240	C₂²⋊C₄	—	67	4	no	—
2241	C₂²⋊C₄	—	67	4	no	—
2242	C₂²⋊C₄	—	67	4	no	—
2243	C₂²⋊C₄	—	67	2	no	—
2244	C₂²⋊C₄	—	67	2	no	—
2245	C₂²⋊C₄	—	67	2	no	—
2246	C₂²⋊C₄	—	67	4	no	—
2247	C₂²⋊C₄	—	67	2	no	—
2248	C₂²⋊C₄	—	67	4	no	—
2249	C₂²⋊C₄	—	67	4	no	—
2250	C₂²⋊C₄	—	67	4	no	—
2251	C₂²⋊C₄	—	67	4	no	—
2252	C₂²⋊C₄	—	67	2	no	—
2253	C₂²⋊C₄	—	67	2	no	—
2254	C₂²⋊C₄	—	67	4	no	—
2255	C₂²⋊C₄	—	67	4	no	—
2256	C₂²⋊C₄	—	67	4	no	—
2257	C₂²⋊C₄	—	67	4	no	—
2258	C₂²⋊C₄	—	67	4	no	—
2259	C₂²⋊C₄	—	67	4	no	—
2260	C₂²⋊C₄	—	67	4	no	—
2261	C₂²⋊C₄	—	67	4	no	—
2262	C₂²⋊C₄	—	67	4	no	—
2263	C₂²⋊C₄	—	67	4	no	—
2264	C₂²⋊C₄	—	67	4	no	—
2265	C₂²⋊C₄	—	67	4	no	—
2266	C₂²⋊C₄	—	67	2	no	—
2267	C₂²⋊C₄	—	67	2	no	—
2268	C₂²⋊C₄	—	67	2	no	—
2269	C₂²⋊C₄	—	67	2	no	—
2270	C₂²⋊C₄	—	67	2	no	—
2271	C₂²⋊C₄	—	67	2	no	—
2272	C₂²⋊C₄	—	67	4	no	—
2273	C₂²⋊C₄	—	67	4	no	—
2274	C₂²⋊C₄	—	67	2	no	—
2275	C₂²⋊C₄	—	67	2	no	—
2276	C₂²⋊C₄	—	67	4	no	—
2277	C₂²⋊C₄	—	67	4	no	—
2278	C₂²⋊C₄	—	67	4	no	—
2279	C₂²⋊C₄	—	67	4	no	—
2280	C₂²⋊C₄	—	67	4	no	—
2281	C₂²⋊C₄	—	67	4	no	—
2282	C₂²⋊C₄	—	67	4	no	—
2283	C₂²⋊C₄	—	67	4	no	—
2284	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2285	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2286	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2287	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2288	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2289	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2290	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2291	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2292	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2293	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2294	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2295	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2296	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2297	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2298	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2299	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2300	C₄²	—	67	1	no	—
2301	C₄²	—	67	1	no	—
2302	C₄²	—	67	1	no	—
2303	C₄²	—	67	1	no	—
2304	C₄²	—	67	1	no	—
2305	C₄²	—	67	1	no	—
2306	C₄²	—	67	1	no	—
2307	C₄²	—	67	1	no	—
2308	C₄²	—	67	1	no	—
2309	C₄²	—	67	1	no	—
2310	C₄²	—	67	1	no	—
2311	C₄²	—	67	1	no	—
2312	C₄²	—	67	2	no	—
2313	C₄²	—	67	2	no	—
2314	C₄²	—	67	2	no	—
2315	C₄²	—	67	4	no	—
2316	C₄²	—	67	4	no	—
2317	C₄²	—	67	4	no	—
2318	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2319	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2320	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2321	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2322	C₄²	C₂³×D₆₇	1	2	yes	—
2323	C₄²	C₂³×D₆₇	1	4	yes	—
2324	C₂³	—	2	4	no	—
2325	C₂³	—	4	2	no	—
2326	C₂³	—	4	4	no	—
2327	C₂³	—	4	4	no	—
2328	C₂³	—	4	2	no	—
2329	C₂³	—	4	4	no	—
2330	C₂³	—	268	2	no	—
2331	C₂³	—	268	4	no	—
2332	C₂³	—	268	4	no	—
2333	C₂³	—	268	4	no	—
2334	C₂³	—	268	4	no	—
2335	C₂³	—	268	4	no	—
2336	C₂³	—	268	4	no	—
2337	C₂³	—	268	4	no	—
2338	C₂³	—	268	2	no	—
2339	C₂³	—	268	4	no	—
2340	C₂³	—	268	4	no	—
2341	C₂³	—	268	4	no	—
2342	C₂³	—	268	4	no	—
2343	C₂³	—	536	32	no	—
2344	C₂³	—	536	16	no	—
2345	C₂³	—	67	1	no	—
2346	C₂³	—	67	4	no	—
2347	C₂³	—	67	1	no	—
2348	C₂³	—	67	4	no	—
2349	C₂³	—	67	2	no	—
2350	C₂³	—	67	4	no	—
2351	C₂³	—	134	8	no	—
2352	C₂³	—	134	8	no	—
2353	C₂³	—	134	8	no	—
2354	C₂³	—	134	4	no	—
2355	C₂³	—	134	8	no	—
2356	C₂³	—	134	4	no	—
2357	C₂³	—	134	8	no	—
2358	C₂³	—	134	4	no	—
2359	C₂³	—	134	8	no	—
2360	C₂³	—	134	8	no	—
2361	C₂³	—	134	2	no	—
2362	C₂³	—	134	2	no	—
2363	C₂³	—	134	4	no	—
2364	C₂³	C₂⁴×D₆₇	1	2	yes	—
2365	C₂³	C₂⁴×D₆₇	1	4	yes	—
2366	C₂³	C₂⁴×D₆₇	1	4	yes	—
2367	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2368	Q₈	—	2	4	no	—
2369	Q₈	—	4	2	no	—
2370	Q₈	—	4	2	no	—
2371	Q₈	—	4	1	no	—
2372	Q₈	—	268	2	no	—
2373	Q₈	—	268	4	no	—
2374	Q₈	—	268	2	no	—
2375	Q₈	—	268	4	no	—
2376	Q₈	—	268	1	no	—
2377	Q₈	—	268	2	no	—
2378	Q₈	—	134	8	no	—
2379	Q₈	—	134	4	no	—
2380	D₄	—	2	4	no	—
2381	D₄	—	2	8	no	—
2382	D₄	—	2	4	no	—
2383	D₄	—	2	4	no	—
2384	D₄	—	4	4	no	—
2385	D₄	—	4	2	no	—
2386	D₄	—	4	4	no	—
2387	D₄	—	4	4	no	—
2388	D₄	—	4	2	no	—
2389	D₄	—	4	4	no	—
2390	D₄	—	4	2	no	—
2391	D₄	—	4	1	no	—
2392	D₄	—	4	4	no	—
2393	D₄	—	268	4	no	—
2394	D₄	—	268	2	no	—
2395	D₄	—	268	4	no	—
2396	D₄	—	268	4	no	—
2397	D₄	—	268	2	no	—
2398	D₄	—	268	4	no	—
2399	D₄	—	268	2	no	—
2400	D₄	—	268	1	no	—
2401	D₄	—	268	4	no	—
2402	D₄	—	268	4	no	—
2403	D₄	—	268	4	no	—
2404	D₄	—	268	4	no	—
2405	D₄	—	268	4	no	—
2406	D₄	—	268	4	no	—
2407	D₄	—	268	4	no	—
2408	D₄	—	268	4	no	—
2409	D₄	—	268	4	no	—
2410	D₄	—	268	4	no	—
2411	D₄	—	268	4	no	—
2412	D₄	—	268	4	no	—
2413	D₄	—	268	2	no	—
2414	D₄	—	268	4	no	—
2415	D₄	—	268	4	no	—
2416	D₄	—	134	4	no	—
2417	D₄	—	134	8	no	—
2418	D₄	—	134	8	no	—
2419	D₄	—	134	8	no	—
2420	D₄	—	134	4	no	—
2421	D₄	—	134	8	no	—
2422	D₄	—	134	4	no	—
2423	D₄	—	134	8	no	—
2424	D₄	—	134	4	no	—
2425	D₄	—	134	4	no	—
2426	C₂×C₄	—	2	2	no	—
2427	C₂×C₄	—	2	2	no	—
2428	C₂×C₄	—	2	4	no	—
2429	C₂×C₄	—	4	4	no	—
2430	C₂×C₄	—	4	2	no	—
2431	C₂×C₄	—	4	4	no	—
2432	C₂×C₄	—	4	4	no	—
2433	C₂×C₄	—	4	1	no	—
2434	C₂×C₄	—	268	4	no	—
2435	C₂×C₄	—	268	4	no	—
2436	C₂×C₄	—	268	4	no	—
2437	C₂×C₄	—	268	4	no	—
2438	C₂×C₄	—	268	4	no	—
2439	C₂×C₄	—	268	4	no	—
2440	C₂×C₄	—	268	4	no	—
2441	C₂×C₄	—	268	1	no	—
2442	C₂×C₄	—	268	1	no	—
2443	C₂×C₄	—	268	4	no	—
2444	C₂×C₄	—	268	2	no	—
2445	C₂×C₄	—	268	4	no	—
2446	C₂×C₄	—	268	4	no	—
2447	C₂×C₄	—	268	1	no	—
2448	C₂×C₄	—	67	1	no	—
2449	C₂×C₄	—	67	4	no	—
2450	C₂×C₄	—	67	2	no	—
2451	C₂×C₄	—	67	1	no	—
2452	C₂×C₄	—	67	1	no	—
2453	C₂×C₄	—	67	1	no	—
2454	C₂×C₄	—	67	1	no	—
2455	C₂×C₄	—	67	1	no	—
2456	C₂×C₄	—	67	4	no	—
2457	C₂×C₄	—	67	4	no	—
2458	C₂×C₄	—	67	2	no	—
2459	C₂×C₄	—	67	2	no	—
2460	C₂×C₄	—	134	2	no	—
2461	C₂×C₄	—	134	4	no	—
2462	C₂×C₄	—	134	2	no	—
2463	C₂×C₄	—	134	4	no	—
2464	C₂×C₄	—	134	4	no	—
2465	C₂×C₄	—	134	8	no	—
2466	C₂×C₄	—	134	8	no	—
2467	C₂×C₄	—	134	2	no	—
2468	C₂×C₄	—	134	2	no	—
2469	C₂×C₄	—	134	2	no	—
2470	C₂×C₄	—	134	2	no	—
2471	C₂×C₄	—	134	2	no	—
2472	C₂×C₄	—	134	2	no	—
2473	C₂×C₄	—	134	4	no	—
2474	C₂×C₄	—	134	2	no	—
2475	C₂×C₄	—	134	4	no	—
2476	C₂×C₄	—	134	2	no	—
2477	C₂×C₄	—	134	2	no	—
2478	C₂×C₄	—	134	4	no	—
2479	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2480	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2481	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2482	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2483	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2484	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2485	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2486	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2487	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2488	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2489	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2490	C₂²	—	2	1	no	—
2491	C₂²	—	2	1	no	—
2492	C₂²	—	2	2	no	—
2493	C₂²	—	2	4	no	—
2494	C₂²	—	2	4	no	—
2495	C₂²	—	2	4	no	—
2496	C₂²	—	2	2	no	—
2497	C₂²	—	2	4	no	—
2498	C₂²	—	2	4	no	—
2499	C₂²	—	2	2	no	—
2500	C₂²	—	2	4	no	—
2501	C₂²	—	8	4	no	—
2502	C₂²	—	8	8	no	—
2503	C₂²	—	268	8	no	—
2504	C₂²	—	268	16	no	—
2505	C₂²	—	268	16	no	—
2506	C₂²	—	536	4	no	—
2507	C₂²	—	536	8	no	—
2508	C₂²	—	536	8	no	—
2509	C₂²	—	536	8	no	—
2510	C₂²	—	536	8	no	—
2511	C₂²	—	67	2	no	—
2512	C₂²	—	67	2	no	—
2513	C₂²	—	67	2	no	—
2514	C₂²	—	67	2	no	—
2515	C₂²	—	134	8	no	—
2516	C₂²	—	134	4	no	—
2517	C₂²	—	134	4	no	—
2518	C₂²	—	134	4	no	—
2519	C₂²	—	134	2	no	—
2520	C₂²	—	134	2	no	—
2521	C₂²	—	134	4	no	—
2522	C₂²	—	134	4	no	—
2523	C₂²	—	134	4	no	—
2524	C₂²	—	134	2	no	—
2525	C₂²	—	134	1	no	—
2526	C₂²	—	134	1	no	—
2527	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
2528	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2529	C₄	—	2	1	no	—
2530	C₄	—	2	2	no	—
2531	C₄	—	2	1	no	—
2532	C₄	—	2	1	no	—
2533	C₄	—	2	2	no	—
2534	C₄	—	2	4	no	—
2535	C₄	—	2	4	no	—
2536	C₄	—	2	1	no	—
2537	C₄	—	2	1	no	—
2538	C₄	—	2	2	no	—
2539	C₄	—	67	2	no	—
2540	C₄	—	134	1	no	—
2541	C₄	—	134	2	no	—
2542	C₄	—	134	2	no	—
2543	C₄	—	134	4	no	—
2544	C₄	—	134	4	no	—
2545	C₄	—	134	1	no	—
2546	C₄	—	134	1	no	—
2547	C₄	—	134	1	no	—
2548	C₄	—	134	1	no	—
2549	C₄	—	134	2	no	—
2550	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
2551	C₂	—	2	2	no	—
2552	C₂	—	4	2	no	—
2553	C₂	—	4	4	no	—
2554	C₂	—	4	4	no	—
2555	C₂	—	268	4	no	—
2556	C₂	—	268	2	no	—
2557	C₂	—	268	4	no	—
2558	C₂	—	67	4	no	—
2559	C₂	—	134	2	no	—
2560	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2561	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2562	C₂	#585×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3558	C₂
hypercenter	#3558	D₆₇
hypocenter	C₆₇	C₂×#3558
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3558

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #22574732	C₂	semidirect
2. #22574731	C₂	semidirect
3. #22574730	C₂	semidirect
4. #22574729	C₂	semidirect
5. #22574728	C₂	semidirect
6. #22574727	C₂	semidirect
7. #22574726	C₂	semidirect
8. #22574725	C₂	semidirect
9. #22574724	C₂	semidirect
10. #22574723	C₂	semidirect
11. #22574722	C₂	semidirect
12. #22574721	C₂	semidirect
13. #22574720	C₂	semidirect
14. #22574719	C₂	semidirect
15. #22574718	C₂	semidirect
16. #562×D₆₇	C₂	semidirect
17. H(3,𝔽₄)×D₆₇	C₂	semidirect
18. #559×D₆₇	C₂	semidirect
19. #548×D₆₇	C₂	semidirect
20. #546×D₆₇	C₂	semidirect
21. #546×D₆₇	C₂	semidirect
22. D₄²×D₆₇	C₂	semidirect
23. #542×D₆₇	C₂	semidirect
24. #538×D₆₇	C₂	semidirect
25. #538×D₆₇	C₂	semidirect
26. #535×D₆₇	C₂	semidirect
27. #534×D₆₇	C₂	semidirect
28. #532×D₆₇	C₂	semidirect
29. #529×D₆₇	C₂	semidirect
30. C₂×#124×D₆₇	C₂	semidirect
31. C₆₇×#3558	C₂	semidirect
32. C₂×#41×D₆₇	C₂²	semidirect
33. C₂×#41×D₆₇	C₂²	semidirect
34. C₂²×Q₈×D₆₇	C₂²	semidirect
36. C₂²×D₄×D₆₇	C₂²	semidirect
37. C₂²×D₄×D₆₇	C₂²	semidirect
38. #16864144	C₂²	semidirect
39. #16864143	C₂²	semidirect
40. #16864143	C₂²	semidirect
41. #16864142	C₂²	semidirect
42. #16864142	C₂²	semidirect
43. #16864141	C₂²	semidirect
44. #16864141	C₂²	semidirect
45. #16864140	C₂²	semidirect
46. #16864140	C₂²	semidirect
47. #16864139	C₂²	semidirect
48. #16864139	C₂²	semidirect
49. #16864139	C₂²	semidirect
50. #16864138	C₂²	semidirect
51. #16864138	C₂²	semidirect
52. #16864138	C₂²	semidirect
53. #16864138	C₂²	semidirect
54. #16864138	C₂²	semidirect
55. #16864138	C₂²	semidirect
56. #16864132	C₂²	semidirect
57. #16864131	C₂²	semidirect
58. #16864131	C₂²	semidirect
59. #16864130	C₂²	semidirect
60. #16864130	C₂²	semidirect
61. #16864129	C₂²	semidirect
62. #16864129	C₂²	semidirect
63. #16864129	C₂²	semidirect
64. #16864128	C₂²	semidirect
65. #16864128	C₂²	semidirect
66. #16864128	C₂²	semidirect
67. #16864058	C₂²	semidirect
68. #16864057	C₂²	semidirect
69. #16864056	C₂²	semidirect
70. #16864056	C₂²	semidirect
71. #16864055	C₂²	semidirect
72. #16864055	C₂²	semidirect
73. #16864054	C₂²	semidirect
74. #16864054	C₂²	semidirect
75. #16864053	C₂²	semidirect
76. #16864052	C₂²	semidirect
77. #16864052	C₂²	semidirect
78. #16864043	C₂²	semidirect
79. #16864043	C₂²	semidirect
80. #16864042	C₂²	semidirect
81. #16864042	C₂²	semidirect
82. #16864041	C₂²	semidirect
83. #16864041	C₂²	semidirect
84. #16864040	C₂²	semidirect
85. #16864040	C₂²	semidirect
86. #16864039	C₂²	semidirect
87. #16864039	C₂²	semidirect
88. #16864038	C₂²	semidirect
89. #16864038	C₂²	semidirect
90. #16864038	C₂²	semidirect
91. #16864037	C₂²	semidirect
92. #16864037	C₂²	semidirect
93. #16864036	C₂²	semidirect
94. #16864036	C₂²	semidirect
95. #16864036	C₂²	semidirect
96. #16864035	C₂²	semidirect
97. #16864035	C₂²	semidirect
98. #16864035	C₂²	semidirect
99. #16864034	C₂²	semidirect
100. #16864034	C₂²	semidirect
101. #16864033	C₂²	semidirect
102. #16864033	C₂²	semidirect
103. #16864033	C₂²	semidirect
104. D₄×D₂₆₈	C₂²	semidirect
105. D₄×D₂₆₈	C₂²	semidirect
106. #16864031	C₂²	semidirect
107. #16864030	C₂²	semidirect
108. #16864030	C₂²	semidirect
109. #16864030	C₂²	semidirect
110. D₄×C₂²⋊D₆₇	C₂²	semidirect
111. D₄×C₂²⋊D₆₇	C₂²	semidirect
112. D₄×C₂²⋊D₆₇	C₂²	semidirect
113. #16864028	C₂²	semidirect
114. #16864028	C₂²	semidirect
115. #16864020	C₂²	semidirect
116. #16864019	C₂²	semidirect
117. #16864018	C₂²	semidirect
118. #16864017	C₂²	semidirect
119. #16864016	C₂²	semidirect
120. #16864015	C₂²	semidirect
121. #16864014	C₂²	semidirect
122. #16864013	C₂²	semidirect
123. #16864012	C₂²	semidirect
124. #16864011	C₂²	semidirect
125. #16864010	C₂²	semidirect
126. #16863986	C₂²	semidirect
127. #16863986	C₂²	semidirect
128. #16863985	C₂²	semidirect
129. #16863985	C₂²	semidirect
130. #16863985	C₂²	semidirect
131. #16863984	C₂²	semidirect
132. #16863984	C₂²	semidirect
133. #16863983	C₂²	semidirect
134. #16863983	C₂²	semidirect
135. #16863982	C₂²	semidirect
136. #16863982	C₂²	semidirect
137. #16863982	C₂²	semidirect
138. #16863981	C₂²	semidirect
139. #16863981	C₂²	semidirect
140. #16863981	C₂²	semidirect
141. #16863980	C₂²	semidirect
142. #16863980	C₂²	semidirect
143. #16863980	C₂²	semidirect
144. #16863979	C₂²	semidirect
145. #16863979	C₂²	semidirect
146. #16863979	C₂²	semidirect
147. #16863978	C₂²	semidirect
148. #16863978	C₂²	semidirect
149. #16863978	C₂²	semidirect
150. #16863965	C₂²	semidirect
151. #16863964	C₂²	semidirect
152. #16863964	C₂²	semidirect
153. #16863963	C₂²	semidirect
154. #16863962	C₂²	semidirect
155. #16863962	C₂²	semidirect
156. #16863961	C₂²	semidirect
157. #16863961	C₂²	semidirect
158. #16863960	C₂²	semidirect
159. #16863959	C₂²	semidirect
160. #16863959	C₂²	semidirect
161. #16863958	C₂²	semidirect
162. #16863957	C₂²	semidirect
163. #16863957	C₂²	semidirect
164. #16863956	C₂²	semidirect
165. #16863956	C₂²	semidirect
166. #16863955	C₂²	semidirect
167. #16863954	C₂²	semidirect
168. #16863954	C₂²	semidirect
169. #16863954	C₂²	semidirect
170. #16863947	C₂²	semidirect
171. #16863946	C₂²	semidirect
172. #16863945	C₂²	semidirect
173. #16863944	C₂²	semidirect
174. #16863943	C₂²	semidirect
175. #16863943	C₂²	semidirect
176. #16863942	C₂²	semidirect
177. #16863941	C₂²	semidirect
178. #16863941	C₂²	semidirect
179. C₄⋊Q₈×D₆₇	C₂²	semidirect
181. #127×D₆₇	C₂²	semidirect
182. #16863933	C₂²	semidirect
183. #16863932	C₂²	semidirect
184. #16863931	C₂²	semidirect
185. #16863930	C₂²	semidirect
186. #16863929	C₂²	semidirect
187. #16863928	C₂²	semidirect
188. #16863927	C₂²	semidirect
189. #16863926	C₂²	semidirect
190. #16863925	C₂²	semidirect
191. #16863924	C₂²	semidirect
192. #16863923	C₂²	semidirect
193. #126×D₆₇	C₂²	semidirect
194. #126×D₆₇	C₂²	semidirect
195. #125×D₆₇	C₂²	semidirect
196. C₂×#14524032	C₂²	semidirect
197. C₂×#14524031	C₂²	semidirect
198. C₂×#14524030	C₂²	semidirect
199. C₂×#14524029	C₂²	semidirect
200. C₂×#14524029	C₂²	semidirect
201. #124×D₆₇	C₂²	semidirect
202. #124×D₆₇	C₂²	semidirect
203. #124×D₆₇	C₂²	semidirect
204. #124×D₆₇	C₂²	semidirect
205. #124×D₆₇	C₂²	semidirect
206. #124×D₆₇	C₂²	semidirect
207. #124×D₆₇	C₂²	semidirect
208. #124×D₆₇	C₂²	semidirect
209. #124×D₆₇	C₂²	semidirect
210. #124×D₆₇	C₂²	semidirect
211. #124×D₆₇	C₂²	semidirect
212. #124×D₆₇	C₂²	semidirect
213. #124×D₆₇	C₂²	semidirect
214. #124×D₆₇	C₂²	semidirect
215. #123×D₆₇	C₂²	semidirect
216. #123×D₆₇	C₂²	semidirect
217. #123×D₆₇	C₂²	semidirect
218. #123×D₆₇	C₂²	semidirect
219. #123×D₆₇	C₂²	semidirect
220. C₂²⋊Q₈×D₆₇	C₂²	semidirect
221. C₂²⋊Q₈×D₆₇	C₂²	semidirect
222. C₂²⋊Q₈×D₆₇	C₂²	semidirect
223. C₂²⋊Q₈×D₆₇	C₂²	semidirect
226. #121×D₆₇	C₂²	semidirect
227. #121×D₆₇	C₂²	semidirect
228. #121×D₆₇	C₂²	semidirect
229. #121×D₆₇	C₂²	semidirect
230. #121×D₆₇	C₂²	semidirect
231. #121×D₆₇	C₂²	semidirect
232. #121×D₆₇	C₂²	semidirect
233. #120×D₆₇	C₂²	semidirect
234. #120×D₆₇	C₂²	semidirect
235. #120×D₆₇	C₂²	semidirect
236. #120×D₆₇	C₂²	semidirect
237. #120×D₆₇	C₂²	semidirect
238. C₄×Q₈×D₆₇	C₂²	semidirect
239. C₄×Q₈×D₆₇	C₂²	semidirect
240. C₄×D₄×D₆₇	C₂²	semidirect
241. C₄×D₄×D₆₇	C₂²	semidirect
242. C₄×D₄×D₆₇	C₂²	semidirect
243. C₄×D₄×D₆₇	C₂²	semidirect
244. C₄×D₄×D₆₇	C₂²	semidirect
245. C₄×D₄×D₆₇	C₂²	semidirect
246. C₄×D₄×D₆₇	C₂²	semidirect
247. #117×D₆₇	C₂²	semidirect
248. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
249. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
250. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
251. C₂×C₄²×D₆₇	C₂²	semidirect
252. #562×C₆₇	C₂²	semidirect
253. H(3,𝔽₄)×C₆₇	C₂²	semidirect
254. #559×C₆₇	C₂²	semidirect
255. #548×C₆₇	C₂²	semidirect
256. #546×C₆₇	C₂²	semidirect
257. #546×C₆₇	C₂²	semidirect
258. D₄²×C₆₇	C₂²	semidirect
259. #542×C₆₇	C₂²	semidirect
260. #538×C₆₇	C₂²	semidirect
261. #538×C₆₇	C₂²	semidirect
262. #535×C₆₇	C₂²	semidirect
263. #534×C₆₇	C₂²	semidirect
264. #532×C₆₇	C₂²	semidirect
265. #529×C₆₇	C₂²	semidirect
266. C₂×#124×C₆₇	C₂²	semidirect
269. C₂×#11761629	C₂³	semidirect
270. C₂×#11761629	C₂³	semidirect
271. C₂×#11761628	C₂³	semidirect
272. C₂×#11761628	C₂³	semidirect
273. C₂×#11761628	C₂³	semidirect
274. C₂×#11761628	C₂³	semidirect
275. C₂×#11761627	C₂³	semidirect
276. C₂×#11761627	C₂³	semidirect
277. C₂×#11761627	C₂³	semidirect
278. C₂×#11761627	C₂³	semidirect
281. C₂²×Dic₁₃₄	C₂³	semidirect
282. C₂²×Dic₁₃₄	C₂³	semidirect
288. C₂×Q₈×D₆₇	C₂³	semidirect
289. C₂×Q₈×D₆₇	C₂³	semidirect
291. C₂²×D₂₆₈	C₂³	semidirect
292. C₂²×D₂₆₈	C₂³	semidirect
294. C₂²×C₂²⋊D₆₇	C₂³	semidirect
295. C₂²×C₂²⋊D₆₇	C₂³	semidirect
296. C₂²×C₂²⋊D₆₇	C₂³	semidirect
315. C₂×D₄×D₆₇	C₂³	semidirect
316. C₂×D₄×D₆₇	C₂³	semidirect
317. C₂×D₄×D₆₇	C₂³	semidirect
318. C₂×D₄×D₆₇	C₂³	semidirect
319. C₂×D₄×D₆₇	C₂³	semidirect
320. C₂×D₄×D₆₇	C₂³	semidirect
321. C₂×D₄×D₆₇	C₂³	semidirect
330. #14524043	C₂³	semidirect
331. #14524042	C₂³	semidirect
332. #14524042	C₂³	semidirect
333. #14524041	C₂³	semidirect
335. #14524040	C₂³	semidirect
340. #14524039	C₂³	semidirect
341. #14524039	C₂³	semidirect
342. #14524039	C₂³	semidirect
343. #14524038	C₂³	semidirect
344. #14524038	C₂³	semidirect
345. #14524038	C₂³	semidirect
346. #14524038	C₂³	semidirect
347. #14524038	C₂³	semidirect
348. #14524038	C₂³	semidirect
349. #14524037	C₂³	semidirect
350. #14524037	C₂³	semidirect
351. #14524036	C₂³	semidirect
352. #14524036	C₂³	semidirect
353. #14524036	C₂³	semidirect
354. #14524036	C₂³	semidirect
355. #14524036	C₂³	semidirect
356. #14524036	C₂³	semidirect
357. #14524035	C₂³	semidirect
358. #14524034	C₂³	semidirect
359. #14524034	C₂³	semidirect
360. #14524033	C₂³	semidirect
361. #14524033	C₂³	semidirect
362. #14524032	C₂³	semidirect
363. #14524032	C₂³	semidirect
364. #14524032	C₂³	semidirect
365. #14524032	C₂³	semidirect
366. #14524032	C₂³	semidirect
367. #14524032	C₂³	semidirect
368. #14524032	C₂³	semidirect
369. #14524032	C₂³	semidirect
370. #14524032	C₂³	semidirect
371. #14524032	C₂³	semidirect
372. #14524031	C₂³	semidirect
373. #14524031	C₂³	semidirect
374. #14524031	C₂³	semidirect
375. #14524031	C₂³	semidirect
376. #14524031	C₂³	semidirect
377. #14524031	C₂³	semidirect
378. #14524031	C₂³	semidirect
379. #14524031	C₂³	semidirect
380. #14524031	C₂³	semidirect
381. #14524031	C₂³	semidirect
382. #14524030	C₂³	semidirect
383. #14524030	C₂³	semidirect
384. #14524030	C₂³	semidirect
385. #14524030	C₂³	semidirect
386. #14524030	C₂³	semidirect
387. #14524030	C₂³	semidirect
388. #14524030	C₂³	semidirect
389. #14524030	C₂³	semidirect
390. #14524030	C₂³	semidirect
391. #14524030	C₂³	semidirect
392. #14524029	C₂³	semidirect
393. #14524029	C₂³	semidirect
394. #14524029	C₂³	semidirect
395. #14524029	C₂³	semidirect
396. #14524029	C₂³	semidirect
397. #14524029	C₂³	semidirect
398. #14524029	C₂³	semidirect
399. #14524029	C₂³	semidirect
400. #14524029	C₂³	semidirect
401. #14524029	C₂³	semidirect
402. #14524029	C₂³	semidirect
403. #14524029	C₂³	semidirect
404. #14524029	C₂³	semidirect
405. #14524029	C₂³	semidirect
406. #14524029	C₂³	semidirect
407. #14524029	C₂³	semidirect
408. #14524029	C₂³	semidirect
409. #14524029	C₂³	semidirect
410. #14524029	C₂³	semidirect
411. #14524029	C₂³	semidirect
412. #14524029	C₂³	semidirect
413. #14524029	C₂³	semidirect
414. #14524029	C₂³	semidirect
415. #14524029	C₂³	semidirect
416. #14524029	C₂³	semidirect
417. #14524029	C₂³	semidirect
418. #14524028	C₂³	semidirect
419. #14524028	C₂³	semidirect
420. #14524028	C₂³	semidirect
421. #14524028	C₂³	semidirect
422. #14524028	C₂³	semidirect
423. #14524028	C₂³	semidirect
424. #14524028	C₂³	semidirect
425. #14524028	C₂³	semidirect
426. #14524028	C₂³	semidirect
427. #14524028	C₂³	semidirect
428. #14524027	C₂³	semidirect
429. #14524027	C₂³	semidirect
430. #14524027	C₂³	semidirect
431. #14524027	C₂³	semidirect
432. #14524027	C₂³	semidirect
433. #14524026	C₂³	semidirect
434. #14524026	C₂³	semidirect
435. #14524026	C₂³	semidirect
436. #14524026	C₂³	semidirect
437. #14524026	C₂³	semidirect
438. #14524025	C₂³	semidirect
439. #14524025	C₂³	semidirect
440. #14524025	C₂³	semidirect
441. #14524025	C₂³	semidirect
442. #14524025	C₂³	semidirect
443. #14524025	C₂³	semidirect
444. #14524025	C₂³	semidirect
445. #14524025	C₂³	semidirect
446. #14524025	C₂³	semidirect
447. #14524025	C₂³	semidirect
448. #14524024	C₂³	semidirect
449. #14524024	C₂³	semidirect
450. #14524024	C₂³	semidirect
451. #14524024	C₂³	semidirect
452. #14524024	C₂³	semidirect
453. #14524023	C₂³	semidirect
454. #14524023	C₂³	semidirect
455. #14524023	C₂³	semidirect
456. #14524023	C₂³	semidirect
457. #14524022	C₂³	semidirect
458. #14524022	C₂³	semidirect
459. #14524022	C₂³	semidirect
460. #14524022	C₂³	semidirect
461. #14524021	C₂³	semidirect
462. #14524021	C₂³	semidirect
463. #14524021	C₂³	semidirect
464. #14524021	C₂³	semidirect
465. #14524021	C₂³	semidirect
466. #14524021	C₂³	semidirect
467. #14524020	C₂³	semidirect
468. #14524020	C₂³	semidirect
469. #14524020	C₂³	semidirect
470. #14524020	C₂³	semidirect
471. #14524020	C₂³	semidirect
472. #14524020	C₂³	semidirect
473. #14524019	C₂³	semidirect
474. #14524019	C₂³	semidirect
475. #14524019	C₂³	semidirect
476. #14524019	C₂³	semidirect
479. #14524018	C₂³	semidirect
480. #14524018	C₂³	semidirect
481. #14524018	C₂³	semidirect
482. #14524018	C₂³	semidirect
483. #14524018	C₂³	semidirect
484. #14524018	C₂³	semidirect
485. #14524018	C₂³	semidirect
488. #14524017	C₂³	semidirect
489. #14524017	C₂³	semidirect
490. #14524017	C₂³	semidirect
491. #14524017	C₂³	semidirect
492. #14524017	C₂³	semidirect
493. #14524017	C₂³	semidirect
494. #14524017	C₂³	semidirect
497. #14524016	C₂³	semidirect
498. #14524016	C₂³	semidirect
499. #14524016	C₂³	semidirect
500. #14524016	C₂³	semidirect
501. #14524016	C₂³	semidirect
502. #14524016	C₂³	semidirect
503. #14524016	C₂³	semidirect
504. #14524016	C₂³	semidirect
505. #14524016	C₂³	semidirect
506. #14524016	C₂³	semidirect
507. #14524016	C₂³	semidirect
508. #14524016	C₂³	semidirect
511. #14524015	C₂³	semidirect
512. #14524015	C₂³	semidirect
513. #14524015	C₂³	semidirect
514. #14524015	C₂³	semidirect
515. #14524015	C₂³	semidirect
516. #14524015	C₂³	semidirect
517. #14524015	C₂³	semidirect
518. #14524015	C₂³	semidirect
519. #14524015	C₂³	semidirect
520. #14524015	C₂³	semidirect
521. #14524015	C₂³	semidirect
522. #14524015	C₂³	semidirect
525. #14524014	C₂³	semidirect
526. #14524014	C₂³	semidirect
527. #14524014	C₂³	semidirect
528. #14524014	C₂³	semidirect
529. #14524014	C₂³	semidirect
530. #14524014	C₂³	semidirect
531. #14524014	C₂³	semidirect
532. #14524013	C₂³	semidirect
533. #14524013	C₂³	semidirect
534. #14524013	C₂³	semidirect
535. #14524013	C₂³	semidirect
536. #14524013	C₂³	semidirect
537. #14524013	C₂³	semidirect
538. #14524013	C₂³	semidirect
539. #14524013	C₂³	semidirect
540. #14524013	C₂³	semidirect
541. #14524013	C₂³	semidirect
542. #14524013	C₂³	semidirect
543. #14524013	C₂³	semidirect
544. #14524013	C₂³	semidirect
545. #14524013	C₂³	semidirect
546. #14524013	C₂³	semidirect
547. #14524012	C₂³	semidirect
548. #14524012	C₂³	semidirect
549. #14524012	C₂³	semidirect
550. #14524012	C₂³	semidirect
551. #14524012	C₂³	semidirect
552. #14524011	C₂³	semidirect
553. #14524011	C₂³	semidirect
554. #14524011	C₂³	semidirect
555. #14524011	C₂³	semidirect
556. #14524011	C₂³	semidirect
557. #14524011	C₂³	semidirect
558. #14524011	C₂³	semidirect
559. #14524011	C₂³	semidirect
560. #14524011	C₂³	semidirect
561. #14524011	C₂³	semidirect
562. #14524011	C₂³	semidirect
563. #14524011	C₂³	semidirect
564. #14524011	C₂³	semidirect
565. #14524011	C₂³	semidirect
566. #14524011	C₂³	semidirect
567. Q₈×Dic₆₇	C₂³	semidirect
568. Q₈×Dic₆₇	C₂³	semidirect
569. C₄×Dic₁₃₄	C₂³	semidirect
570. C₄×Dic₁₃₄	C₂³	semidirect
571. C₄×Dic₁₃₄	C₂³	semidirect
572. C₄×Dic₁₃₄	C₂³	semidirect
573. #14524008	C₂³	semidirect
574. #14524008	C₂³	semidirect
575. #14524008	C₂³	semidirect
576. #14524008	C₂³	semidirect
577. C₄×D₂₆₈	C₂³	semidirect
578. C₄×D₂₆₈	C₂³	semidirect
579. C₄×D₂₆₈	C₂³	semidirect
580. C₄×D₂₆₈	C₂³	semidirect
581. C₄×D₂₆₈	C₂³	semidirect
582. C₄×D₂₆₈	C₂³	semidirect
583. C₄×D₂₆₈	C₂³	semidirect
584. D₄×Dic₆₇	C₂³	semidirect
585. D₄×Dic₆₇	C₂³	semidirect
586. D₄×Dic₆₇	C₂³	semidirect
587. D₄×Dic₆₇	C₂³	semidirect
588. D₄×Dic₆₇	C₂³	semidirect
589. D₄×Dic₆₇	C₂³	semidirect
590. D₄×Dic₆₇	C₂³	semidirect
591. #14524005	C₂³	semidirect
592. #14524005	C₂³	semidirect
593. #14524005	C₂³	semidirect
594. #14524005	C₂³	semidirect
595. #14524005	C₂³	semidirect
596. #14524005	C₂³	semidirect
597. #14524005	C₂³	semidirect
598. C₄×C₂²⋊D₆₇	C₂³	semidirect
599. C₄×C₂²⋊D₆₇	C₂³	semidirect
600. C₄×C₂²⋊D₆₇	C₂³	semidirect
601. C₄×C₂²⋊D₆₇	C₂³	semidirect
602. C₄×C₂²⋊D₆₇	C₂³	semidirect
603. C₄×C₂²⋊D₆₇	C₂³	semidirect
604. C₄×C₂²⋊D₆₇	C₂³	semidirect
605. C₄×C₂²⋊D₆₇	C₂³	semidirect
606. C₄×C₂²⋊D₆₇	C₂³	semidirect
607. C₄×C₂²⋊D₆₇	C₂³	semidirect
608. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
609. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
610. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
611. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
612. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
613. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
614. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
615. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
616. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
617. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
618. #14524002	C₂³	semidirect
619. #14524001	C₂³	semidirect
620. #14524001	C₂³	semidirect
621. #14524000	C₂³	semidirect
622. #14524000	C₂³	semidirect
623. #14523999	C₂³	semidirect
624. #14523999	C₂³	semidirect
635. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
636. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
637. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
638. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
639. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
640. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
641. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
642. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
643. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
660. C₂²⋊C₄×D₆₇	C₂³	semidirect
661. C₂²⋊C₄×D₆₇	C₂³	semidirect
662. C₂²⋊C₄×D₆₇	C₂³	semidirect
663. C₂²⋊C₄×D₆₇	C₂³	semidirect
664. C₂²⋊C₄×D₆₇	C₂³	semidirect
665. C₂²⋊C₄×D₆₇	C₂³	semidirect
666. C₂²⋊C₄×D₆₇	C₂³	semidirect
667. C₂²⋊C₄×D₆₇	C₂³	semidirect
668. C₂×C₄×Dic₆₇	C₂³	semidirect
669. C₂×C₄×Dic₆₇	C₂³	semidirect
670. C₂×C₄×Dic₆₇	C₂³	semidirect
677. C₄²×D₆₇	C₂³	semidirect
678. C₄²×D₆₇	C₂³	semidirect
679. C₄²×D₆₇	C₂³	semidirect
680. C₄²×D₆₇	C₂³	semidirect
681. C₂×#41×C₆₇	C₂³	semidirect
682. C₂×#41×C₆₇	C₂³	semidirect
683. C₂²×Q₈×C₆₇	C₂³	semidirect
685. C₂²×D₄×C₆₇	C₂³	semidirect
686. C₂²×D₄×C₆₇	C₂³	semidirect
687. C₄⋊Q₈×C₆₇	C₂³	semidirect
689. #127×C₆₇	C₂³	semidirect
690. #126×C₆₇	C₂³	semidirect
691. #126×C₆₇	C₂³	semidirect
692. #125×C₆₇	C₂³	semidirect
693. #124×C₆₇	C₂³	semidirect
694. #124×C₆₇	C₂³	semidirect
695. #124×C₆₇	C₂³	semidirect
696. #124×C₆₇	C₂³	semidirect
697. #124×C₆₇	C₂³	semidirect
698. #124×C₆₇	C₂³	semidirect
699. #124×C₆₇	C₂³	semidirect
700. #124×C₆₇	C₂³	semidirect
701. #124×C₆₇	C₂³	semidirect
702. #124×C₆₇	C₂³	semidirect
703. #123×C₆₇	C₂³	semidirect
704. #123×C₆₇	C₂³	semidirect
705. #123×C₆₇	C₂³	semidirect
706. #123×C₆₇	C₂³	semidirect
707. #123×C₆₇	C₂³	semidirect
708. C₂²⋊Q₈×C₆₇	C₂³	semidirect
709. C₂²⋊Q₈×C₆₇	C₂³	semidirect
710. C₂²⋊Q₈×C₆₇	C₂³	semidirect
711. C₂²⋊Q₈×C₆₇	C₂³	semidirect
714. #121×C₆₇	C₂³	semidirect
715. #121×C₆₇	C₂³	semidirect
716. #121×C₆₇	C₂³	semidirect
717. #121×C₆₇	C₂³	semidirect
718. #121×C₆₇	C₂³	semidirect
719. #121×C₆₇	C₂³	semidirect
720. #121×C₆₇	C₂³	semidirect
721. #120×C₆₇	C₂³	semidirect
722. #120×C₆₇	C₂³	semidirect
723. #120×C₆₇	C₂³	semidirect
724. #120×C₆₇	C₂³	semidirect
725. #120×C₆₇	C₂³	semidirect
726. C₄×Q₈×C₆₇	C₂³	semidirect
727. C₄×Q₈×C₆₇	C₂³	semidirect
728. C₄×D₄×C₆₇	C₂³	semidirect
729. C₄×D₄×C₆₇	C₂³	semidirect
730. C₄×D₄×C₆₇	C₂³	semidirect
731. C₄×D₄×C₆₇	C₂³	semidirect
732. C₄×D₄×C₆₇	C₂³	semidirect
733. C₄×D₄×C₆₇	C₂³	semidirect
734. C₄×D₄×C₆₇	C₂³	semidirect
735. #117×C₆₇	C₂³	semidirect
736. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
737. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
738. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
739. C₂×C₄²×C₆₇	C₂³	semidirect
1281. D₆₇	#3558	direct (N × H)
1297. #3558	D₆₇	direct (N × H)
1313. C₆₇	C₂×#3558	semidirect
1329. #562	C₂×D₆₇	semidirect
1339. H(3,𝔽₄)	C₂×D₆₇	semidirect
1351. #559	C₂×D₆₇	semidirect
1363. #548	C₂×D₆₇	semidirect
1390. #546	C₂×D₆₇	semidirect
1391. #546	C₂×D₆₇	semidirect
1403. D₄²	C₂×D₆₇	semidirect
1415. #542	C₂×D₆₇	semidirect
1440. #538	C₂×D₆₇	semidirect
1441. #538	C₂×D₆₇	semidirect
1453. #535	C₂×D₆₇	semidirect
1463. #534	C₂×D₆₇	semidirect
1473. #532	C₂×D₆₇	semidirect
1488. #529	C₂×D₆₇	semidirect
1511. C₂×#124	C₂×D₆₇	semidirect
1563. C₂×#41	C₂²×D₆₇	semidirect
1564. C₂×#41	C₂²×D₆₇	semidirect
1574. C₂²×Q₈	C₂²×D₆₇	semidirect
1608. C₂²×D₄	C₂²×D₆₇	semidirect
1609. C₂²×D₄	C₂²×D₆₇	semidirect
1622. C₄⋊Q₈	C₂²×D₆₇	semidirect
1633. #127	C₂²×D₆₇	semidirect
1648. #126	C₂²×D₆₇	semidirect
1649. #126	C₂²×D₆₇	semidirect
1655. #125	C₂²×D₆₇	semidirect
1712. #124	C₂²×D₆₇	semidirect
1713. #124	C₂²×D₆₇	semidirect
1714. #124	C₂²×D₆₇	semidirect
1715. #124	C₂²×D₆₇	semidirect
1716. #124	C₂²×D₆₇	semidirect
1717. #124	C₂²×D₆₇	semidirect
1718. #124	C₂²×D₆₇	semidirect
1719. #124	C₂²×D₆₇	semidirect
1720. #124	C₂²×D₆₇	semidirect
1721. #124	C₂²×D₆₇	semidirect
1757. #123	C₂²×D₆₇	semidirect
1758. #123	C₂²×D₆₇	semidirect
1759. #123	C₂²×D₆₇	semidirect
1760. #123	C₂²×D₆₇	semidirect
1761. #123	C₂²×D₆₇	semidirect
1786. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1787. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1788. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1789. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1847. #121	C₂²×D₆₇	semidirect
1848. #121	C₂²×D₆₇	semidirect
1849. #121	C₂²×D₆₇	semidirect
1850. #121	C₂²×D₆₇	semidirect
1851. #121	C₂²×D₆₇	semidirect
1852. #121	C₂²×D₆₇	semidirect
1853. #121	C₂²×D₆₇	semidirect
1889. #120	C₂²×D₆₇	semidirect
1890. #120	C₂²×D₆₇	semidirect
1891. #120	C₂²×D₆₇	semidirect
1892. #120	C₂²×D₆₇	semidirect
1893. #120	C₂²×D₆₇	semidirect
1904. C₄×Q₈	C₂²×D₆₇	semidirect
1905. C₄×Q₈	C₂²×D₆₇	semidirect
1947. C₄×D₄	C₂²×D₆₇	semidirect
1948. C₄×D₄	C₂²×D₆₇	semidirect
1949. C₄×D₄	C₂²×D₆₇	semidirect
1950. C₄×D₄	C₂²×D₆₇	semidirect
1951. C₄×D₄	C₂²×D₆₇	semidirect
1952. C₄×D₄	C₂²×D₆₇	semidirect
1953. C₄×D₄	C₂²×D₆₇	semidirect
1961. #117	C₂²×D₆₇	semidirect
2005. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2006. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2007. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
2021. C₂×C₄²	C₂²×D₆₇	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#22574732	2
#22574731	2
#22574730	2
#22574729	2
#22574728	2
#22574727	2
#22574726	2
#22574725	2
#22574724	2
#22574723	2
#22574722	2
#22574721	2
#22574720	2
#22574719	2
#22574718	2
#562×D₆₇	2
H(3,𝔽₄)×D₆₇	2
#559×D₆₇	2
#548×D₆₇	2
#546×D₆₇	2
D₄²×D₆₇	2
#542×D₆₇	2
#538×D₆₇	2
#535×D₆₇	2
#534×D₆₇	2
#532×D₆₇	2
#529×D₆₇	2
C₂×#124×D₆₇	2
C₆₇×#3558	2
C₂×#3558	67

Subgroups — #3558×D67 #31763153

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3558×D₆₇ #31763153