Subgroups — #3540×D₆₇ #31763116

Order 17152.

7418 conjugacy classes of subgroups.

The subgroup lattice has 2526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574486	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574485	C₂	1	2	yes	maximal, complemented
3	#22574484	C₂	1	1	yes	maximal, characteristic, complemented
4	#22574483	C₂	1	2	yes	maximal, complemented
5	#22574482	C₂	1	2	yes	maximal, complemented
6	#22574481	C₂	1	2	yes	maximal, complemented
7	#22574480	C₂	1	4	yes	maximal, complemented
8	#22574479	C₂	1	2	yes	maximal, complemented
9	#22574478	C₂	1	2	yes	maximal, complemented
10	#22574477	C₂	1	2	yes	maximal, complemented
11	#22574476	C₂	1	2	yes	maximal, complemented
12	#22574475	C₂	1	1	yes	maximal, characteristic, complemented
13	#22574474	C₂	1	4	yes	maximal, complemented
14	#22574473	C₂	1	2	yes	maximal, complemented
15	#22574472	C₂	1	2	yes	maximal, complemented
16	H(3,𝔽₄)×D₆₇	C₂	1	2	yes	maximal, complemented
17	#560×D₆₇	C₂	1	2	yes	maximal, complemented
18	#559×D₆₇	C₂	1	2	yes	maximal, complemented
19	#556×D₆₇	C₂	1	2	yes	maximal, complemented
20	#555×D₆₇	C₂	1	2	yes	maximal, complemented
21	#551×D₆₇	C₂	1	2	yes	maximal, complemented
22	#548×D₆₇	C₂	1	2	yes	maximal, complemented
23	#546×D₆₇	C₂	1	2	yes	maximal, complemented
24	#542×D₆₇	C₂	1	2	yes	maximal, complemented
25	#542×D₆₇	C₂	1	4	yes	maximal, complemented
26	#538×D₆₇	C₂	1	4	yes	maximal, complemented
27	#536×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
28	#535×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	#525×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	#525×D₆₇	C₂	1	2	yes	maximal, complemented
31	C₆₇×#3540	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₆₇	C₂²	1	2	yes	—
33	C₂×#41×D₆₇	C₂²	1	1	yes	characteristic
34	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
37	#16864139	C₂²	1	2	yes	complemented
38	#16864139	C₂²	1	4	yes	complemented
39	#16864139	C₂²	1	2	yes	complemented
40	#16864139	C₂²	1	4	yes	complemented
41	#16864138	C₂²	1	2	yes	complemented
42	#16864138	C₂²	1	4	yes	complemented
43	#16864138	C₂²	1	4	yes	complemented
44	#16864138	C₂²	1	4	yes	complemented
45	#16864138	C₂²	1	4	yes	complemented
46	#16864137	C₂²	1	4	yes	complemented
47	#16864136	C₂²	1	4	yes	complemented
48	#16864136	C₂²	1	2	yes	complemented
49	#16864135	C₂²	1	4	yes	complemented
50	#16864135	C₂²	1	2	yes	complemented
51	#16864134	C₂²	1	4	yes	complemented
52	#16864134	C₂²	1	4	yes	complemented
53	#16864134	C₂²	1	4	yes	complemented
54	#16864133	C₂²	1	2	yes	complemented
55	#16864132	C₂²	1	2	yes	complemented
56	#16864131	C₂²	1	4	yes	complemented
57	#16864130	C₂²	1	2	yes	complemented
58	#16864130	C₂²	1	4	yes	complemented
59	#16864130	C₂²	1	2	yes	complemented
60	#16864129	C₂²	1	4	yes	complemented
61	#16864129	C₂²	1	4	yes	complemented
62	#16864128	C₂²	1	4	yes	complemented
63	#16864128	C₂²	1	4	yes	complemented
64	#16864120	C₂²	1	2	yes	complemented
65	#16864119	C₂²	1	2	yes	complemented
66	#16864118	C₂²	1	4	yes	complemented
67	#16864117	C₂²	1	2	yes	complemented
68	#16864117	C₂²	1	2	yes	complemented
69	#16864116	C₂²	1	2	yes	complemented
70	#16864115	C₂²	1	4	yes	complemented
71	#16864114	C₂²	1	2	yes	complemented
72	#16864114	C₂²	1	2	yes	complemented
73	#16864113	C₂²	1	4	yes	complemented
74	#16864113	C₂²	1	4	yes	complemented
75	#16864112	C₂²	1	2	yes	complemented
76	#16864111	C₂²	1	2	yes	complemented
77	#16864111	C₂²	1	2	yes	complemented
78	#16864110	C₂²	1	2	yes	complemented
79	#16864110	C₂²	1	2	yes	complemented
80	#16864110	C₂²	1	4	yes	complemented
81	#16864109	C₂²	1	4	yes	complemented
82	#16864109	C₂²	1	2	yes	complemented
83	#16864109	C₂²	1	2	yes	complemented
84	#16864108	C₂²	1	4	yes	complemented
85	#16864108	C₂²	1	4	yes	complemented
86	#16864077	C₂²	1	2	yes	complemented
87	#16864076	C₂²	1	2	yes	complemented
88	#16864075	C₂²	1	4	yes	complemented
89	#16864074	C₂²	1	2	yes	complemented
90	#16864073	C₂²	1	4	yes	complemented
91	#16864072	C₂²	1	4	yes	complemented
92	#16864071	C₂²	1	4	yes	complemented
93	#16864070	C₂²	1	4	yes	complemented
94	#16864069	C₂²	1	4	yes	complemented
95	#16864058	C₂²	1	2	yes	complemented
96	#16864057	C₂²	1	2	yes	complemented
97	#16864056	C₂²	1	4	yes	complemented
98	#16864056	C₂²	1	2	yes	complemented
99	#16864055	C₂²	1	4	yes	complemented
100	#16864055	C₂²	1	2	yes	complemented
101	#16864054	C₂²	1	2	yes	complemented
102	#16864054	C₂²	1	4	yes	complemented
103	#16864053	C₂²	1	2	yes	complemented
104	#16864052	C₂²	1	2	yes	complemented
105	#16864052	C₂²	1	4	yes	complemented
106	#16864043	C₂²	1	2	yes	complemented
107	#16864042	C₂²	1	2	yes	complemented
108	#16864041	C₂²	1	2	yes	complemented
109	#16864040	C₂²	1	2	yes	complemented
110	#16864039	C₂²	1	2	yes	complemented
111	#16864038	C₂²	1	4	yes	complemented
112	#16864037	C₂²	1	2	yes	complemented
113	#16864036	C₂²	1	4	yes	complemented
114	#16864035	C₂²	1	4	yes	complemented
115	#16864034	C₂²	1	2	yes	complemented
116	#16864033	C₂²	1	4	yes	complemented
117	#16864020	C₂²	1	4	yes	complemented
118	#16864020	C₂²	1	2	yes	complemented
119	#16864019	C₂²	1	2	yes	complemented
120	#16864019	C₂²	1	4	yes	complemented
121	#16864018	C₂²	1	4	yes	complemented
122	#16864018	C₂²	1	2	yes	complemented
123	#16864017	C₂²	1	4	yes	complemented
124	#16864017	C₂²	1	2	yes	complemented
125	#16864016	C₂²	1	4	yes	complemented
126	#16864016	C₂²	1	4	yes	complemented
127	#16864016	C₂²	1	4	yes	complemented
128	#16864015	C₂²	1	2	yes	complemented
129	#16864015	C₂²	1	4	yes	complemented
130	#16864014	C₂²	1	4	yes	complemented
131	#16864014	C₂²	1	4	yes	complemented
132	#16864014	C₂²	1	4	yes	complemented
133	#16864013	C₂²	1	4	yes	complemented
134	#16864013	C₂²	1	2	yes	complemented
135	#16864012	C₂²	1	4	yes	complemented
136	#16864012	C₂²	1	4	yes	complemented
137	#16864012	C₂²	1	4	yes	complemented
138	#16864011	C₂²	1	2	yes	complemented
139	#16864011	C₂²	1	4	yes	complemented
140	#16864010	C₂²	1	4	yes	complemented
141	#16864010	C₂²	1	4	yes	complemented
142	#16864010	C₂²	1	4	yes	complemented
143	#16863986	C₂²	1	4	yes	complemented
144	#16863985	C₂²	1	4	yes	complemented
145	#16863985	C₂²	1	4	yes	complemented
146	#16863984	C₂²	1	4	yes	complemented
147	#16863983	C₂²	1	4	yes	complemented
148	#16863982	C₂²	1	4	yes	complemented
149	#16863982	C₂²	1	4	yes	complemented
150	#16863981	C₂²	1	4	yes	complemented
151	#16863981	C₂²	1	4	yes	complemented
152	#16863980	C₂²	1	4	yes	complemented
153	#16863980	C₂²	1	4	yes	complemented
154	#16863979	C₂²	1	4	yes	complemented
155	#16863979	C₂²	1	4	yes	complemented
156	#16863978	C₂²	1	4	yes	complemented
157	#16863978	C₂²	1	4	yes	complemented
158	#16863972	C₂²	1	1	yes	characteristic, complemented
159	#16863971	C₂²	1	2	yes	complemented
160	#16863970	C₂²	1	1	yes	characteristic, complemented
161	#16863969	C₂²	1	2	yes	complemented
162	#16863969	C₂²	1	2	yes	complemented
163	#16863968	C₂²	1	2	yes	complemented
164	#16863968	C₂²	1	2	yes	complemented
165	#16863967	C₂²	1	1	yes	characteristic, complemented
166	#16863966	C₂²	1	2	yes	complemented
167	#16863965	C₂²	1	1	yes	characteristic, complemented
168	#16863964	C₂²	1	2	yes	complemented
169	#16863963	C₂²	1	1	yes	characteristic, complemented
170	#16863962	C₂²	1	2	yes	complemented
171	#16863962	C₂²	1	2	yes	complemented
172	#16863961	C₂²	1	2	yes	complemented
173	#16863961	C₂²	1	2	yes	complemented
174	#16863960	C₂²	1	1	yes	characteristic, complemented
175	#16863959	C₂²	1	2	yes	complemented
176	C₄⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
177	C₄⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
178	#127×D₆₇	C₂²	1	2	yes	—
179	#126×D₆₇	C₂²	1	4	yes	complemented
180	#126×D₆₇	C₂²	1	4	yes	complemented
181	#126×D₆₇	C₂²	1	4	yes	complemented
182	#124×D₆₇	C₂²	1	2	yes	—
183	#124×D₆₇	C₂²	1	4	yes	—
184	#124×D₆₇	C₂²	1	2	yes	complemented
185	#124×D₆₇	C₂²	1	2	yes	complemented
186	#124×D₆₇	C₂²	1	4	yes	complemented
187	#124×D₆₇	C₂²	1	4	yes	complemented
188	#124×D₆₇	C₂²	1	4	yes	complemented
189	#124×D₆₇	C₂²	1	4	yes	complemented
190	#16863909	C₂²	1	2	yes	complemented
191	#16863909	C₂²	1	2	yes	complemented
192	#16863909	C₂²	1	2	yes	complemented
193	#16863908	C₂²	1	1	yes	characteristic, complemented
194	#16863908	C₂²	1	2	yes	complemented
195	#16863907	C₂²	1	1	yes	characteristic, complemented
196	#16863907	C₂²	1	2	yes	complemented
197	#16863906	C₂²	1	2	yes	complemented
198	#16863906	C₂²	1	2	yes	complemented
199	#16863906	C₂²	1	2	yes	complemented
200	#16863905	C₂²	1	2	yes	complemented
201	#16863905	C₂²	1	2	yes	complemented
202	#16863905	C₂²	1	4	yes	complemented
203	#16863905	C₂²	1	4	yes	complemented
204	#16863904	C₂²	1	1	yes	characteristic, complemented
205	#16863904	C₂²	1	1	yes	characteristic, complemented
206	#16863904	C₂²	1	4	yes	complemented
207	#16863903	C₂²	1	1	yes	characteristic, complemented
208	#16863903	C₂²	1	2	yes	complemented
209	#16863902	C₂²	1	1	yes	characteristic, complemented
210	#16863902	C₂²	1	1	yes	characteristic, complemented
211	#16863902	C₂²	1	4	yes	complemented
212	#123×D₆₇	C₂²	1	1	yes	characteristic
213	#123×D₆₇	C₂²	1	4	yes	complemented
214	#123×D₆₇	C₂²	1	4	yes	complemented
215	#123×D₆₇	C₂²	1	4	yes	complemented
216	#123×D₆₇	C₂²	1	1	yes	characteristic, complemented
217	#123×D₆₇	C₂²	1	2	yes	complemented
218	#123×D₆₇	C₂²	1	2	yes	complemented
219	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
220	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
221	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
222	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
223	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
224	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
225	#121×D₆₇	C₂²	1	4	yes	—
226	#121×D₆₇	C₂²	1	2	yes	—
227	#121×D₆₇	C₂²	1	2	yes	—
228	#121×D₆₇	C₂²	1	2	yes	—
229	#121×D₆₇	C₂²	1	2	yes	complemented
230	#121×D₆₇	C₂²	1	4	yes	complemented
231	#121×D₆₇	C₂²	1	4	yes	complemented
232	#120×D₆₇	C₂²	1	4	yes	—
233	#120×D₆₇	C₂²	1	1	yes	characteristic
234	#120×D₆₇	C₂²	1	2	yes	—
235	#120×D₆₇	C₂²	1	1	yes	characteristic, complemented
236	#120×D₆₇	C₂²	1	4	yes	complemented
237	#120×D₆₇	C₂²	1	2	yes	complemented
238	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
239	C₄×Q₈×D₆₇	C₂²	1	4	yes	complemented
240	C₄×D₄×D₆₇	C₂²	1	2	yes	—
241	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
242	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
243	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
244	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
245	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
246	#117×D₆₇	C₂²	1	1	yes	characteristic, complemented
247	#117×D₆₇	C₂²	1	4	yes	complemented
248	#117×D₆₇	C₂²	1	2	yes	complemented
249	#117×D₆₇	C₂²	1	1	yes	characteristic, complemented
250	#117×D₆₇	C₂²	1	1	yes	characteristic, complemented
251	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	complemented
252	H(3,𝔽₄)×C₆₇	C₂²	1	2	yes	complemented
253	#560×C₆₇	C₂²	1	2	yes	complemented
254	#559×C₆₇	C₂²	1	2	yes	complemented
255	#556×C₆₇	C₂²	1	2	yes	complemented
256	#555×C₆₇	C₂²	1	2	yes	complemented
257	#551×C₆₇	C₂²	1	2	yes	complemented
258	#548×C₆₇	C₂²	1	2	yes	complemented
259	#546×C₆₇	C₂²	1	2	yes	complemented
260	#542×C₆₇	C₂²	1	4	yes	complemented
261	#542×C₆₇	C₂²	1	2	yes	complemented
262	#538×C₆₇	C₂²	1	4	yes	complemented
263	#536×C₆₇	C₂²	1	1	yes	characteristic, complemented
264	#535×C₆₇	C₂²	1	1	yes	characteristic, complemented
265	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
266	#525×C₆₇	C₂²	1	2	yes	complemented
267	C₂⁴×D₆₇	C₂³	1	2	yes	—
268	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
269	C₂×#11761629	C₂³	1	2	yes	—
270	C₂×#11761629	C₂³	1	1	yes	characteristic
271	C₂×#11761628	C₂³	1	4	yes	—
272	C₂×#11761628	C₂³	1	2	yes	—
273	C₂×#11761628	C₂³	1	1	yes	characteristic
274	C₂×#11761628	C₂³	1	1	yes	characteristic
275	C₂×#11761628	C₂³	1	1	yes	characteristic
276	C₂×#11761627	C₂³	1	4	yes	—
277	C₂×#11761627	C₂³	1	2	yes	—
278	C₂×#11761627	C₂³	1	1	yes	characteristic
279	C₂×#11761627	C₂³	1	1	yes	characteristic
280	C₂×#11761627	C₂³	1	1	yes	characteristic
281	#41×D₆₇	—	4	4	no	—
282	#41×D₆₇	—	4	8	no	—
283	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
284	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
285	C₂×Q₈×D₆₇	—	4	4	no	—
286	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
287	C₂×Q₈×D₆₇	C₂³	1	4	yes	—
288	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
289	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
290	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
291	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
292	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
293	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
294	C₂×D₄×D₆₇	—	4	4	no	—
295	C₂×D₄×D₆₇	C₂³	1	2	yes	—
296	C₂×D₄×D₆₇	C₂³	1	2	yes	—
297	C₂×D₄×D₆₇	C₂³	1	4	yes	—
298	C₂×D₄×D₆₇	C₂³	1	4	yes	—
299	C₂×D₄×D₆₇	C₂³	1	2	yes	—
300	C₂×D₄×D₆₇	C₂³	1	4	yes	—
301	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
302	C₂×D₄×D₆₇	C₂³	1	4	yes	—
303	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
304	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
305	C₂×D₄×D₆₇	C₂³	1	2	yes	—
306	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
307	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
308	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
309	C₂²×C₄×D₆₇	—	4	4	no	—
310	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
311	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
312	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
313	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
314	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
315	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
316	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
317	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
318	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
319	C₂²×C₄×D₆₇	C₂³	1	2	yes	complemented
320	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic, complemented
321	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic, complemented
322	C₂²×C₄×D₆₇	C₂³	1	2	yes	complemented
323	#14524043	C₂³	1	2	yes	complemented
324	#14524043	C₂³	1	2	yes	complemented
325	#14524042	C₂³	1	4	yes	complemented
326	#14524042	C₂³	1	2	yes	complemented
327	#14524042	C₂³	1	4	yes	complemented
328	#14524042	C₂³	1	4	yes	complemented
329	#14524042	C₂³	1	2	yes	complemented
330	#14524041	C₂³	1	2	yes	complemented
331	#14524041	C₂³	1	2	yes	complemented
332	#14524041	C₂³	1	4	yes	complemented
333	#14524040	C₂³	1	2	yes	—
334	#14524039	C₂³	1	4	yes	—
335	#14524039	C₂³	1	4	yes	—
336	#14524039	C₂³	1	2	yes	—
337	#14524039	C₂³	1	2	yes	—
338	#14524038	C₂³	1	4	yes	complemented
339	#14524038	C₂³	1	4	yes	complemented
340	#14524038	C₂³	1	4	yes	complemented
341	#14524038	C₂³	1	4	yes	complemented
342	#14524038	C₂³	1	4	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	4	yes	complemented
347	#14524037	C₂³	1	4	yes	complemented
348	#14524037	C₂³	1	4	yes	complemented
349	#14524037	C₂³	1	4	yes	complemented
350	#14524036	C₂³	1	4	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	4	yes	complemented
355	#14524036	C₂³	1	4	yes	complemented
356	#14524036	C₂³	1	4	yes	complemented
357	#14524036	C₂³	1	4	yes	complemented
358	#14524036	C₂³	1	4	yes	complemented
359	#14524032	C₂³	1	2	yes	—
360	#14524032	C₂³	1	4	yes	—
361	#14524032	C₂³	1	2	yes	complemented
362	#14524032	C₂³	1	4	yes	complemented
363	#14524032	C₂³	1	4	yes	complemented
364	#14524032	C₂³	1	2	yes	complemented
365	#14524032	C₂³	1	4	yes	complemented
366	#14524032	C₂³	1	4	yes	complemented
367	#14524031	C₂³	1	2	yes	—
368	#14524031	C₂³	1	4	yes	—
369	#14524031	C₂³	1	2	yes	complemented
370	#14524031	C₂³	1	4	yes	complemented
371	#14524031	C₂³	1	4	yes	complemented
372	#14524031	C₂³	1	2	yes	complemented
373	#14524031	C₂³	1	4	yes	complemented
374	#14524031	C₂³	1	4	yes	complemented
375	#14524030	C₂³	1	2	yes	—
376	#14524030	C₂³	1	4	yes	—
377	#14524030	C₂³	1	2	yes	complemented
378	#14524030	C₂³	1	4	yes	complemented
379	#14524030	C₂³	1	2	yes	complemented
380	#14524030	C₂³	1	4	yes	complemented
381	#14524030	C₂³	1	4	yes	complemented
382	#14524030	C₂³	1	4	yes	complemented
383	#14524029	C₂³	1	4	yes	—
384	#14524029	C₂³	1	4	yes	—
385	#14524029	C₂³	1	4	yes	—
386	#14524029	C₂³	1	4	yes	—
387	#14524029	C₂³	1	4	yes	—
388	#14524029	C₂³	1	4	yes	—
389	#14524029	C₂³	1	4	yes	complemented
390	#14524029	C₂³	1	4	yes	complemented
391	#14524029	C₂³	1	4	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	#14524028	C₂³	1	2	yes	—
410	#14524028	C₂³	1	4	yes	complemented
411	#14524028	C₂³	1	4	yes	complemented
412	#14524028	C₂³	1	4	yes	complemented
413	#14524028	C₂³	1	4	yes	complemented
414	#14524028	C₂³	1	4	yes	complemented
415	#14524028	C₂³	1	4	yes	complemented
416	#14524028	C₂³	1	2	yes	complemented
417	#14524028	C₂³	1	4	yes	complemented
418	#14524028	C₂³	1	4	yes	complemented
419	#14524027	C₂³	1	1	yes	characteristic
420	#14524027	C₂³	1	4	yes	complemented
421	#14524027	C₂³	1	4	yes	complemented
422	#14524027	C₂³	1	4	yes	complemented
423	#14524027	C₂³	1	1	yes	characteristic, complemented
424	#14524027	C₂³	1	2	yes	complemented
425	#14524027	C₂³	1	2	yes	complemented
426	#14524026	C₂³	1	1	yes	characteristic
427	#14524026	C₂³	1	4	yes	complemented
428	#14524026	C₂³	1	4	yes	complemented
429	#14524026	C₂³	1	4	yes	complemented
430	#14524026	C₂³	1	1	yes	characteristic, complemented
431	#14524026	C₂³	1	2	yes	complemented
432	#14524026	C₂³	1	2	yes	complemented
433	#14524025	C₂³	1	2	yes	—
434	#14524025	C₂³	1	4	yes	complemented
435	#14524025	C₂³	1	4	yes	complemented
436	#14524025	C₂³	1	4	yes	complemented
437	#14524025	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	#14524024	C₂³	1	1	yes	characteristic
444	#14524024	C₂³	1	4	yes	complemented
445	#14524024	C₂³	1	4	yes	complemented
446	#14524024	C₂³	1	4	yes	complemented
447	#14524024	C₂³	1	1	yes	characteristic, complemented
448	#14524024	C₂³	1	2	yes	complemented
449	#14524024	C₂³	1	2	yes	complemented
450	#14524023	C₂³	1	4	yes	complemented
451	#14524023	C₂³	1	2	yes	complemented
452	#14524023	C₂³	1	2	yes	complemented
453	#14524023	C₂³	1	4	yes	complemented
454	#14524023	C₂³	1	2	yes	complemented
455	#14524023	C₂³	1	2	yes	complemented
456	#14524022	C₂³	1	2	yes	complemented
457	#14524022	C₂³	1	4	yes	complemented
458	#14524022	C₂³	1	4	yes	complemented
459	#14524022	C₂³	1	2	yes	complemented
460	#14524022	C₂³	1	2	yes	complemented
461	#14524022	C₂³	1	2	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	2	yes	complemented
466	#14524021	C₂³	1	4	yes	complemented
467	#14524021	C₂³	1	2	yes	complemented
468	#14524021	C₂³	1	4	yes	complemented
469	#14524021	C₂³	1	4	yes	complemented
470	#14524021	C₂³	1	4	yes	complemented
471	#14524020	C₂³	1	4	yes	complemented
472	#14524020	C₂³	1	2	yes	complemented
473	#14524020	C₂³	1	4	yes	complemented
474	#14524020	C₂³	1	4	yes	complemented
475	#14524020	C₂³	1	4	yes	complemented
476	#14524020	C₂³	1	2	yes	complemented
477	#14524020	C₂³	1	4	yes	complemented
478	#14524020	C₂³	1	4	yes	complemented
479	#14524020	C₂³	1	4	yes	complemented
480	#14524019	C₂³	1	2	yes	complemented
481	#14524019	C₂³	1	4	yes	complemented
482	#14524019	C₂³	1	4	yes	complemented
483	#14524019	C₂³	1	2	yes	complemented
484	#14524019	C₂³	1	2	yes	complemented
485	#14524019	C₂³	1	2	yes	complemented
486	#14524018	C₂³	1	4	yes	—
487	#14524018	C₂³	1	2	yes	—
488	#14524018	C₂³	1	2	yes	—
489	#14524018	C₂³	1	2	yes	—
490	#14524018	C₂³	1	2	yes	complemented
491	#14524018	C₂³	1	4	yes	complemented
492	#14524018	C₂³	1	4	yes	complemented
493	#14524017	C₂³	1	4	yes	—
494	#14524017	C₂³	1	2	yes	—
495	#14524017	C₂³	1	2	yes	—
496	#14524017	C₂³	1	2	yes	—
497	#14524017	C₂³	1	2	yes	complemented
498	#14524017	C₂³	1	4	yes	complemented
499	#14524017	C₂³	1	4	yes	complemented
500	#14524016	C₂³	1	4	yes	—
501	#14524016	C₂³	1	4	yes	—
502	#14524016	C₂³	1	4	yes	—
503	#14524016	C₂³	1	4	yes	—
504	#14524016	C₂³	1	2	yes	—
505	#14524016	C₂³	1	2	yes	—
506	#14524016	C₂³	1	4	yes	complemented
507	#14524016	C₂³	1	4	yes	complemented
508	#14524016	C₂³	1	4	yes	complemented
509	#14524016	C₂³	1	4	yes	complemented
510	#14524016	C₂³	1	4	yes	complemented
511	#14524015	C₂³	1	4	yes	—
512	#14524015	C₂³	1	4	yes	—
513	#14524015	C₂³	1	4	yes	—
514	#14524015	C₂³	1	4	yes	—
515	#14524015	C₂³	1	2	yes	—
516	#14524015	C₂³	1	2	yes	—
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	#14524014	C₂³	1	4	yes	—
523	#14524014	C₂³	1	2	yes	—
524	#14524014	C₂³	1	2	yes	—
525	#14524014	C₂³	1	2	yes	—
526	#14524014	C₂³	1	2	yes	complemented
527	#14524014	C₂³	1	4	yes	complemented
528	#14524014	C₂³	1	4	yes	complemented
529	#14524013	C₂³	1	4	yes	—
530	#14524013	C₂³	1	4	yes	—
531	#14524013	C₂³	1	4	yes	—
532	#14524013	C₂³	1	4	yes	—
533	#14524013	C₂³	1	2	yes	—
534	#14524013	C₂³	1	1	yes	characteristic
535	#14524013	C₂³	1	2	yes	—
536	#14524013	C₂³	1	2	yes	complemented
537	#14524013	C₂³	1	4	yes	complemented
538	#14524013	C₂³	1	4	yes	complemented
539	#14524013	C₂³	1	1	yes	characteristic, complemented
540	#14524013	C₂³	1	4	yes	complemented
541	#14524013	C₂³	1	2	yes	complemented
542	#14524013	C₂³	1	4	yes	complemented
543	#14524012	C₂³	1	4	yes	—
544	#14524012	C₂³	1	2	yes	—
545	#14524012	C₂³	1	1	yes	characteristic
546	#14524012	C₂³	1	1	yes	characteristic, complemented
547	#14524012	C₂³	1	4	yes	complemented
548	#14524012	C₂³	1	2	yes	complemented
549	#14524011	C₂³	1	4	yes	—
550	#14524011	C₂³	1	4	yes	—
551	#14524011	C₂³	1	4	yes	—
552	#14524011	C₂³	1	4	yes	—
553	#14524011	C₂³	1	2	yes	—
554	#14524011	C₂³	1	1	yes	characteristic
555	#14524011	C₂³	1	2	yes	—
556	#14524011	C₂³	1	1	yes	characteristic, complemented
557	#14524011	C₂³	1	4	yes	complemented
558	#14524011	C₂³	1	2	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	2	yes	complemented
563	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
564	Q₈×Dic₆₇	C₂³	1	4	yes	complemented
565	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
566	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
567	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
568	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
569	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
570	#14524008	C₂³	1	2	yes	complemented
571	#14524008	C₂³	1	4	yes	complemented
572	#14524008	C₂³	1	4	yes	complemented
573	#14524008	C₂³	1	4	yes	complemented
574	#14524008	C₂³	1	4	yes	complemented
575	C₄×D₂₆₈	C₂³	1	2	yes	—
576	C₄×D₂₆₈	C₂³	1	2	yes	complemented
577	C₄×D₂₆₈	C₂³	1	4	yes	complemented
578	C₄×D₂₆₈	C₂³	1	2	yes	complemented
579	C₄×D₂₆₈	C₂³	1	4	yes	complemented
580	C₄×D₂₆₈	C₂³	1	4	yes	complemented
581	D₄×Dic₆₇	C₂³	1	2	yes	—
582	D₄×Dic₆₇	C₂³	1	2	yes	complemented
583	D₄×Dic₆₇	C₂³	1	4	yes	complemented
584	D₄×Dic₆₇	C₂³	1	2	yes	complemented
585	D₄×Dic₆₇	C₂³	1	4	yes	complemented
586	D₄×Dic₆₇	C₂³	1	4	yes	complemented
587	#14524005	C₂³	1	2	yes	—
588	#14524005	C₂³	1	2	yes	complemented
589	#14524005	C₂³	1	4	yes	complemented
590	#14524005	C₂³	1	2	yes	complemented
591	#14524005	C₂³	1	4	yes	complemented
592	#14524005	C₂³	1	4	yes	complemented
593	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
594	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
595	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
596	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
597	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
598	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
599	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
601	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
602	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
603	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
604	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
605	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
606	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
607	(C₂²⋊D₆₇)⋊C₄	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	4	yes	complemented
611	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	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	4	yes	complemented
615	#14524002	C₂³	1	1	yes	characteristic, complemented
616	#14524002	C₂³	1	4	yes	complemented
617	#14524002	C₂³	1	1	yes	characteristic, complemented
618	#14524002	C₂³	1	2	yes	complemented
619	#14524002	C₂³	1	1	yes	characteristic, complemented
620	#14524001	C₂³	1	2	yes	complemented
621	#14524001	C₂³	1	4	yes	complemented
622	#14524001	C₂³	1	4	yes	complemented
623	#14524001	C₂³	1	2	yes	complemented
624	#14524001	C₂³	1	2	yes	complemented
625	#14524001	C₂³	1	2	yes	complemented
626	#14524001	C₂³	1	2	yes	complemented
627	#14524000	C₂³	1	2	yes	complemented
628	#14524000	C₂³	1	4	yes	complemented
629	#14524000	C₂³	1	4	yes	complemented
630	#14524000	C₂³	1	2	yes	complemented
631	#14524000	C₂³	1	4	yes	complemented
632	#14524000	C₂³	1	2	yes	complemented
633	#14523999	C₂³	1	1	yes	characteristic, complemented
634	#14523999	C₂³	1	4	yes	complemented
635	#14523999	C₂³	1	1	yes	characteristic, complemented
636	#14523999	C₂³	1	4	yes	complemented
637	#14523999	C₂³	1	2	yes	complemented
638	#14523999	C₂³	1	4	yes	complemented
639	#14523999	C₂³	1	2	yes	complemented
640	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
641	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
642	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
643	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
644	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
645	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
646	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
647	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
648	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
649	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
650	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
651	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
652	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
653	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
654	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
655	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
656	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
657	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
658	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
660	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
661	C₂²⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
662	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
663	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
664	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
665	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
666	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
667	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
668	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
669	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
670	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
671	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
672	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
673	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
674	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
675	C₄²×D₆₇	C₂³	1	2	yes	—
676	C₄²×D₆₇	C₂³	1	4	yes	—
677	C₄²×D₆₇	C₂³	1	2	yes	—
678	C₄²×D₆₇	C₂³	1	2	yes	—
679	C₄²×D₆₇	C₂³	1	4	yes	—
680	C₂×#41×C₆₇	C₂³	1	2	yes	—
681	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
682	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
683	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
684	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
685	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
686	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
687	#127×C₆₇	C₂³	1	2	yes	—
688	#126×C₆₇	C₂³	1	4	yes	complemented
689	#126×C₆₇	C₂³	1	4	yes	complemented
690	#126×C₆₇	C₂³	1	4	yes	complemented
691	#124×C₆₇	C₂³	1	2	yes	—
692	#124×C₆₇	C₂³	1	4	yes	—
693	#124×C₆₇	C₂³	1	2	yes	complemented
694	#124×C₆₇	C₂³	1	4	yes	complemented
695	#124×C₆₇	C₂³	1	4	yes	complemented
696	#124×C₆₇	C₂³	1	2	yes	complemented
697	#124×C₆₇	C₂³	1	4	yes	complemented
698	#124×C₆₇	C₂³	1	4	yes	complemented
699	#123×C₆₇	C₂³	1	1	yes	characteristic
700	#123×C₆₇	C₂³	1	4	yes	complemented
701	#123×C₆₇	C₂³	1	4	yes	complemented
702	#123×C₆₇	C₂³	1	4	yes	complemented
703	#123×C₆₇	C₂³	1	1	yes	characteristic, complemented
704	#123×C₆₇	C₂³	1	2	yes	complemented
705	#123×C₆₇	C₂³	1	2	yes	complemented
706	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
707	C₂²⋊Q₈×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	2	yes	complemented
711	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
712	#121×C₆₇	C₂³	1	4	yes	—
713	#121×C₆₇	C₂³	1	2	yes	—
714	#121×C₆₇	C₂³	1	2	yes	—
715	#121×C₆₇	C₂³	1	2	yes	—
716	#121×C₆₇	C₂³	1	2	yes	complemented
717	#121×C₆₇	C₂³	1	4	yes	complemented
718	#121×C₆₇	C₂³	1	4	yes	complemented
719	#120×C₆₇	C₂³	1	4	yes	—
720	#120×C₆₇	C₂³	1	1	yes	characteristic
721	#120×C₆₇	C₂³	1	2	yes	—
722	#120×C₆₇	C₂³	1	1	yes	characteristic, complemented
723	#120×C₆₇	C₂³	1	4	yes	complemented
724	#120×C₆₇	C₂³	1	2	yes	complemented
725	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
726	C₄×Q₈×C₆₇	C₂³	1	4	yes	complemented
727	C₄×D₄×C₆₇	C₂³	1	2	yes	—
728	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
729	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
730	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
731	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
732	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
733	#117×C₆₇	C₂³	1	1	yes	characteristic, complemented
734	#117×C₆₇	C₂³	1	4	yes	complemented
735	#117×C₆₇	C₂³	1	2	yes	complemented
736	#117×C₆₇	C₂³	1	1	yes	characteristic, complemented
737	#117×C₆₇	C₂³	1	1	yes	characteristic, complemented
738	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
739	C₂³×D₆₇	—	4	2	no	—
740	C₂³×D₆₇	—	4	4	no	—
741	C₂³×D₆₇	—	4	4	no	—
742	C₂³×D₆₇	—	4	8	no	—
743	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
744	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
745	C₂³×D₆₇	C₂⁴	1	2	yes	—
746	C₂³×D₆₇	C₂⁴	1	4	yes	—
747	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
748	C₂³×D₆₇	C₂⁴	1	2	yes	—
749	C₂³×D₆₇	C₂⁴	1	4	yes	—
750	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
751	C₂³×D₆₇	C₂⁴	1	2	yes	—
752	#11761629	—	4	2	no	—
753	#11761629	—	4	4	no	—
754	#11761628	—	4	8	no	—
755	#11761628	—	4	4	no	—
756	#11761628	—	4	2	no	—
757	#11761628	—	4	2	no	—
758	#11761628	—	4	2	no	—
759	#11761627	—	4	4	no	—
760	#11761627	—	4	8	no	—
761	#11761627	—	4	2	no	—
762	#11761627	—	4	2	no	—
763	#11761627	—	4	2	no	—
764	C₂×Dic₁₃₄	—	4	4	no	—
765	C₂×Dic₁₃₄	—	4	2	no	—
766	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
767	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
768	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
769	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
770	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
771	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
772	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
773	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
774	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
775	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
776	Q₈×D₆₇	—	2	8	no	—
777	Q₈×D₆₇	—	4	4	no	—
778	Q₈×D₆₇	—	4	4	no	—
779	Q₈×D₆₇	—	4	4	no	—
780	Q₈×D₆₇	—	4	8	no	—
781	Q₈×D₆₇	—	4	2	no	—
782	C₂×D₂₆₈	—	4	2	no	—
783	C₂×D₂₆₈	C₂⁴	1	2	yes	—
784	C₂×D₂₆₈	C₂⁴	1	2	yes	—
785	C₂×D₂₆₈	C₂⁴	1	4	yes	—
786	C₂×D₂₆₈	C₂⁴	1	4	yes	—
787	C₂×D₂₆₈	C₂⁴	1	2	yes	—
788	C₂×D₂₆₈	C₂⁴	1	4	yes	—
789	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
790	C₂×D₂₆₈	C₂⁴	1	4	yes	—
791	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
792	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
793	C₂×D₂₆₈	C₂⁴	1	2	yes	—
794	C₂×C₂²⋊D₆₇	—	4	4	no	—
795	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
797	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
798	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
803	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
805	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
807	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
808	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
810	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
812	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
813	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
814	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
815	D₄×D₆₇	—	2	8	no	—
816	D₄×D₆₇	—	4	4	no	—
817	D₄×D₆₇	—	4	4	no	—
818	D₄×D₆₇	—	4	4	no	—
819	D₄×D₆₇	—	4	4	no	—
820	D₄×D₆₇	—	4	8	no	—
821	D₄×D₆₇	—	4	8	no	—
822	D₄×D₆₇	—	4	8	no	—
823	D₄×D₆₇	—	4	4	no	—
824	D₄×D₆₇	—	4	2	no	—
825	D₄×D₆₇	—	4	2	no	—
826	D₄×D₆₇	—	4	2	no	—
827	D₄×D₆₇	—	4	8	no	—
828	C₂²×Dic₆₇	—	4	2	no	—
829	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
830	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
831	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
832	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
833	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
834	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
835	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
836	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
837	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
838	C₂×C₄×D₆₇	—	2	8	no	—
839	C₂×C₄×D₆₇	—	2	4	no	—
840	C₂×C₄×D₆₇	—	2	4	no	—
841	C₂×C₄×D₆₇	—	2	4	no	—
842	C₂×C₄×D₆₇	—	4	4	no	—
843	C₂×C₄×D₆₇	—	4	2	no	—
844	C₂×C₄×D₆₇	—	4	2	no	—
845	C₂×C₄×D₆₇	—	4	4	no	—
846	C₂×C₄×D₆₇	—	4	2	no	—
847	C₂×C₄×D₆₇	—	4	4	no	—
848	C₂×C₄×D₆₇	—	4	8	no	—
849	C₂×C₄×D₆₇	—	4	4	no	—
850	C₂×C₄×D₆₇	—	4	8	no	—
851	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
852	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
853	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
854	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
855	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
856	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
857	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
858	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
859	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
860	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
861	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
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	2	yes	—
866	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
867	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
868	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
869	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
870	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
871	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
872	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
873	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
874	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
875	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
876	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
877	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
878	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
879	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
880	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
881	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
882	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
883	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
884	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
885	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
886	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
887	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
888	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
889	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
890	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
891	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
892	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
893	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
894	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
895	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
896	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
897	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
898	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
899	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
900	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
901	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
902	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
903	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
904	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
905	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
906	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
907	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
908	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
909	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
910	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
911	C₂²⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
912	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
913	C₂²⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
914	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
915	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
916	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
917	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
918	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
919	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
920	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
921	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
922	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
923	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
924	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
925	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
926	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
927	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
928	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
929	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	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	2	yes	—
935	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
936	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
937	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
938	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
939	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
940	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
941	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
942	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
943	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
944	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
945	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
946	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
947	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
948	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
949	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
950	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
951	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
952	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
953	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
954	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
955	C₄×Dic₆₇	C₂⁴	1	4	yes	—
956	C₄×Dic₆₇	C₂⁴	1	2	yes	—
957	C₄×Dic₆₇	C₂⁴	1	4	yes	—
958	C₄×Dic₆₇	C₂⁴	1	4	yes	—
959	C₄×Dic₆₇	C₂⁴	1	4	yes	—
960	C₄×Dic₆₇	C₂⁴	1	2	yes	—
961	C₄×Dic₆₇	C₂⁴	1	2	yes	—
962	C₄×Dic₆₇	C₂⁴	1	4	yes	—
963	C₄×Dic₆₇	C₂⁴	1	2	yes	—
964	C₄×Dic₆₇	C₂⁴	1	2	yes	—
965	C₄×Dic₆₇	C₂⁴	1	4	yes	—
966	C₄×Dic₆₇	C₂⁴	1	4	yes	—
967	C₄×Dic₆₇	C₂⁴	1	4	yes	—
968	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
969	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
970	#41×C₆₇	—	4	2	no	—
971	#41×C₆₇	—	4	4	no	—
972	C₂×Q₈×C₆₇	—	4	2	no	—
973	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
974	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
975	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
976	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
977	C₂×D₄×C₆₇	—	4	2	no	—
978	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
979	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
980	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
981	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
982	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
983	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
984	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
985	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
986	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
987	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
988	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
989	C₂²×C₄×C₆₇	—	4	2	no	—
990	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
991	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
992	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
993	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
994	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
995	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
996	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
997	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
998	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
999	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1000	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1001	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1002	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1003	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1004	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1005	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1006	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1007	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1008	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1009	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1010	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1011	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1012	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1013	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1014	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1015	C₂²⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1016	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1017	C₂²⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1018	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1019	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1020	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1021	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1022	C₂²⋊C₄×C₆₇	C₂⁴	1	2	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	C₄²×C₆₇	C₂⁴	1	2	yes	—
1028	C₄²×C₆₇	C₂⁴	1	4	yes	—
1029	C₄²×C₆₇	C₂⁴	1	2	yes	—
1030	C₄²×C₆₇	C₂⁴	1	2	yes	—
1031	C₄²×C₆₇	C₂⁴	1	4	yes	—
1032	C₂³×C₆₇	—	4	1	no	—
1033	C₂³×C₆₇	—	4	2	no	—
1034	C₂³×C₆₇	—	4	2	no	—
1035	C₂³×C₆₇	—	4	4	no	—
1036	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1037	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1038	C₂³×C₆₇	C₂⁵	1	2	yes	—
1039	C₂³×C₆₇	C₂⁵	1	4	yes	—
1040	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1041	C₂²×D₆₇	—	2	2	no	—
1042	C₂²×D₆₇	—	2	4	no	—
1043	C₂²×D₆₇	—	2	2	no	—
1044	C₂²×D₆₇	—	2	2	no	—
1045	C₂²×D₆₇	—	2	8	no	—
1046	C₂²×D₆₇	—	2	8	no	—
1047	C₂²×D₆₇	—	2	4	no	—
1048	C₂²×D₆₇	—	2	4	no	—
1049	C₂²×D₆₇	—	2	4	no	—
1050	C₂²×D₆₇	—	2	4	no	—
1051	C₂²×D₆₇	—	2	8	no	—
1052	C₂²×D₆₇	—	2	4	no	—
1053	C₂²×D₆₇	—	4	1	no	—
1054	C₂²×D₆₇	—	4	2	no	—
1055	C₂²×D₆₇	—	4	2	no	—
1056	C₂²×D₆₇	—	4	2	no	—
1057	C₂²×D₆₇	—	4	2	no	—
1058	C₂²×D₆₇	—	4	4	no	—
1059	C₂²×D₆₇	—	4	2	no	—
1060	C₂²×D₆₇	—	4	4	no	—
1061	C₂²×D₆₇	—	4	4	no	—
1062	C₂²×D₆₇	—	4	4	no	—
1063	C₂²×D₆₇	—	4	16	no	—
1064	C₂²×D₆₇	—	8	16	no	—
1065	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1066	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1067	C₂²×D₆₇	C₂⁵	1	2	yes	—
1068	C₂²×D₆₇	C₂⁵	1	4	yes	—
1069	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1070	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1071	Q₈×C₆₇	—	2	4	no	—
1072	Q₈×C₆₇	—	4	2	no	—
1073	Q₈×C₆₇	—	4	1	no	—
1074	Q₈×C₆₇	—	4	4	no	—
1075	D₄×C₆₇	—	2	4	no	—
1076	D₄×C₆₇	—	4	2	no	—
1077	D₄×C₆₇	—	4	4	no	—
1078	D₄×C₆₇	—	4	1	no	—
1079	D₄×C₆₇	—	4	1	no	—
1080	D₄×C₆₇	—	4	1	no	—
1081	D₄×C₆₇	—	4	2	no	—
1082	D₄×C₆₇	—	4	4	no	—
1083	D₄×C₆₇	—	4	4	no	—
1084	D₄×C₆₇	—	4	4	no	—
1085	D₄×C₆₇	—	4	2	no	—
1086	C₂×C₄×C₆₇	—	2	2	no	—
1087	C₂×C₄×C₆₇	—	2	4	no	—
1088	C₂×C₄×C₆₇	—	2	2	no	—
1089	C₂×C₄×C₆₇	—	2	2	no	—
1090	C₂×C₄×C₆₇	—	4	2	no	—
1091	C₂×C₄×C₆₇	—	4	1	no	—
1092	C₂×C₄×C₆₇	—	4	2	no	—
1093	C₂×C₄×C₆₇	—	4	4	no	—
1094	C₂×C₄×C₆₇	—	4	4	no	—
1095	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1096	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1097	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1098	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1099	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1100	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1101	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1102	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1103	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1104	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1105	C₂²⋊D₆₇	—	2	8	no	—
1106	C₂²⋊D₆₇	—	4	4	no	—
1107	C₂²⋊D₆₇	—	4	2	no	—
1108	C₂²⋊D₆₇	—	4	2	no	—
1109	C₂²⋊D₆₇	—	4	4	no	—
1110	C₂²⋊D₆₇	—	4	4	no	—
1111	C₂²⋊D₆₇	—	4	4	no	—
1112	C₂²⋊D₆₇	—	4	4	no	—
1113	C₂²⋊D₆₇	—	4	4	no	—
1114	C₂²⋊D₆₇	—	4	4	no	—
1115	C₂²⋊D₆₇	—	4	2	no	—
1116	C₂²⋊D₆₇	—	4	2	no	—
1117	C₂²⋊D₆₇	—	4	4	no	—
1118	C₂²⋊D₆₇	—	4	4	no	—
1119	C₂²⋊D₆₇	—	4	1	no	—
1120	C₂²⋊D₆₇	—	4	1	no	—
1121	C₂²⋊D₆₇	—	4	1	no	—
1122	C₂²⋊D₆₇	—	4	1	no	—
1123	C₂²⋊D₆₇	—	4	1	no	—
1124	C₂²⋊D₆₇	—	4	1	no	—
1125	C₂×Dic₆₇	—	2	2	no	—
1126	C₂×Dic₆₇	—	2	4	no	—
1127	C₂×Dic₆₇	—	2	2	no	—
1128	C₂×Dic₆₇	—	2	2	no	—
1129	C₂×Dic₆₇	—	4	2	no	—
1130	C₂×Dic₆₇	—	4	1	no	—
1131	C₂×Dic₆₇	—	4	4	no	—
1132	C₂×Dic₆₇	—	4	2	no	—
1133	C₂×Dic₆₇	—	4	4	no	—
1134	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1135	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1136	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1137	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1138	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1139	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1140	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1141	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1142	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1143	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1144	D₂₆₈	—	2	4	no	—
1145	D₂₆₈	—	4	2	no	—
1146	D₂₆₈	—	4	2	no	—
1147	D₂₆₈	—	4	4	no	—
1148	D₂₆₈	—	4	4	no	—
1149	D₂₆₈	—	4	4	no	—
1150	D₂₆₈	—	4	2	no	—
1151	D₂₆₈	—	4	4	no	—
1152	D₂₆₈	—	4	1	no	—
1153	D₂₆₈	—	4	1	no	—
1154	D₂₆₈	—	4	1	no	—
1155	C₄×D₆₇	—	2	4	no	—
1156	C₄×D₆₇	—	2	2	no	—
1157	C₄×D₆₇	—	2	2	no	—
1158	C₄×D₆₇	—	2	2	no	—
1159	C₄×D₆₇	—	2	8	no	—
1160	C₄×D₆₇	—	2	4	no	—
1161	C₄×D₆₇	—	2	8	no	—
1162	C₄×D₆₇	—	2	8	no	—
1163	C₄×D₆₇	—	2	4	no	—
1164	C₄×D₆₇	—	2	4	no	—
1165	C₄×D₆₇	—	2	2	no	—
1166	C₄×D₆₇	—	2	2	no	—
1167	C₄×D₆₇	—	2	2	no	—
1168	C₄×D₆₇	—	2	2	no	—
1169	C₄×D₆₇	—	2	4	no	—
1170	C₄×D₆₇	—	2	2	no	—
1171	C₄×D₆₇	—	2	2	no	—
1172	C₄×D₆₇	—	4	2	no	—
1173	C₄×D₆₇	—	4	2	no	—
1174	C₄×D₆₇	—	4	2	no	—
1175	C₄×D₆₇	—	4	4	no	—
1176	C₄×D₆₇	—	4	4	no	—
1177	C₄×D₆₇	—	4	4	no	—
1178	C₄×D₆₇	—	4	4	no	—
1179	C₄×D₆₇	—	4	4	no	—
1180	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	—
1181	Dic₁₃₄	—	2	4	no	—
1182	Dic₁₃₄	—	2	8	no	—
1183	Dic₁₃₄	—	4	2	no	—
1184	Dic₁₃₄	—	4	4	no	—
1185	Dic₁₃₄	—	4	4	no	—
1186	Dic₁₃₄	—	4	4	no	—
1187	Dic₁₃₄	—	4	4	no	—
1188	Dic₁₃₄	—	4	1	no	—
1189	Dic₁₃₄	—	4	1	no	—
1190	Dic₁₃₄	—	4	1	no	—
1191	C₂²×C₆₇	—	2	1	no	—
1192	C₂²×C₆₇	—	2	1	no	—
1193	C₂²×C₆₇	—	2	2	no	—
1194	C₂²×C₆₇	—	2	1	no	—
1195	C₂²×C₆₇	—	2	4	no	—
1196	C₂²×C₆₇	—	2	4	no	—
1197	C₂²×C₆₇	—	2	2	no	—
1198	C₂²×C₆₇	—	2	2	no	—
1199	C₂²×C₆₇	—	2	2	no	—
1200	C₂²×C₆₇	—	2	2	no	—
1201	C₂²×C₆₇	—	2	4	no	—
1202	C₂²×C₆₇	—	2	2	no	—
1203	C₂²×C₆₇	—	4	4	no	—
1204	C₂²×C₆₇	—	8	4	no	—
1205	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1206	C₂×D₆₇	—	2	1	no	—
1207	C₂×D₆₇	—	2	2	no	—
1208	C₂×D₆₇	—	2	1	no	—
1209	C₂×D₆₇	—	2	1	no	—
1210	C₂×D₆₇	—	2	4	no	—
1211	C₂×D₆₇	—	2	4	no	—
1212	C₂×D₆₇	—	2	2	no	—
1213	C₂×D₆₇	—	2	2	no	—
1214	C₂×D₆₇	—	2	2	no	—
1215	C₂×D₆₇	—	2	2	no	—
1216	C₂×D₆₇	—	2	4	no	—
1217	C₂×D₆₇	—	2	2	no	—
1218	C₂×D₆₇	—	4	4	no	—
1219	C₂×D₆₇	—	4	8	no	—
1220	C₂×D₆₇	—	4	4	no	—
1221	C₂×D₆₇	—	4	8	no	—
1222	C₂×D₆₇	—	4	4	no	—
1223	C₂×D₆₇	—	4	16	no	—
1224	C₂×D₆₇	—	4	4	no	—
1225	C₂×D₆₇	—	8	4	no	—
1226	C₂×D₆₇	—	8	8	no	—
1227	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1228	C₂×D₆₇	#585	1	4	yes	—
1229	C₄×C₆₇	—	2	4	no	—
1230	C₄×C₆₇	—	2	1	no	—
1231	C₄×C₆₇	—	2	1	no	—
1232	C₄×C₆₇	—	2	1	no	—
1233	C₄×C₆₇	—	2	2	no	—
1234	C₄×C₆₇	—	2	2	no	—
1235	C₄×C₆₇	—	2	4	no	—
1236	C₄×C₆₇	—	2	4	no	—
1237	C₄×C₆₇	—	2	2	no	—
1238	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1239	Dic₆₇	—	2	4	no	—
1240	Dic₆₇	—	2	1	no	—
1241	Dic₆₇	—	2	1	no	—
1242	Dic₆₇	—	2	1	no	—
1243	Dic₆₇	—	2	2	no	—
1244	Dic₆₇	—	2	2	no	—
1245	Dic₆₇	—	2	4	no	—
1246	Dic₆₇	—	2	4	no	—
1247	Dic₆₇	—	2	2	no	—
1248	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1249	C₂×#3540	—	67	1	no	maximal, Sylow
1250	C₂×C₆₇	—	4	1	no	—
1251	C₂×C₆₇	—	4	2	no	—
1252	C₂×C₆₇	—	4	1	no	—
1253	C₂×C₆₇	—	4	4	no	—
1254	C₂×C₆₇	—	4	1	no	—
1255	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1256	C₂×C₆₇	C₂×#585	1	2	yes	—
1257	D₆₇	—	4	1	no	—
1258	D₆₇	—	4	2	no	—
1259	D₆₇	—	4	1	no	—
1260	D₆₇	—	4	4	no	—
1261	D₆₇	—	4	1	no	—
1262	D₆₇	#3540	1	4	yes	direct product factor
1263	#3540	—	67	2	no	—
1264	#3540	—	67	2	no	—
1265	#3540	—	67	2	no	—
1266	#3540	—	67	2	no	—
1267	#3540	—	67	2	no	—
1268	#3540	—	67	2	no	—
1269	#3540	—	67	2	no	—
1270	#3540	—	67	2	no	—
1271	#3540	—	67	4	no	—
1272	#3540	—	67	2	no	—
1273	#3540	—	67	4	no	—
1274	#3540	—	67	1	no	—
1275	#3540	—	67	1	no	—
1276	#3540	—	67	2	no	—
1277	#3540	—	67	1	no	—
1278	#3540	D₆₇	1	1	yes	characteristic, direct product factor
1279	C₂×H(3,𝔽₄)	—	67	2	no	—
1280	C₂×#560	—	67	2	no	—
1281	C₂×#559	—	67	2	no	—
1282	C₂×#556	—	67	2	no	—
1283	C₂×#555	—	67	2	no	—
1284	C₂×#551	—	67	2	no	—
1285	C₂×#548	—	67	2	no	—
1286	C₂×#546	—	67	2	no	—
1287	C₂×#542	—	67	2	no	—
1288	C₂×#542	—	67	4	no	—
1289	C₂×#538	—	67	4	no	—
1290	C₂×#536	—	67	1	no	—
1291	C₂×#535	—	67	1	no	—
1292	C₂×#525	—	67	1	no	—
1293	C₂×#525	—	67	2	no	—
1294	C₆₇	C₂×#3540	1	1	yes	characteristic, complemented, Sylow
1295	C₂²×#41	—	67	1	no	—
1296	C₂²×#41	—	67	2	no	—
1297	C₂³×Q₈	—	67	1	no	—
1298	C₂³×D₄	—	67	1	no	—
1299	C₂⁴×C₄	—	67	1	no	—
1300	H(3,𝔽₄)	—	67	2	no	—
1301	H(3,𝔽₄)	—	67	4	no	—
1302	H(3,𝔽₄)	—	67	4	no	—
1303	H(3,𝔽₄)	—	67	4	no	—
1304	H(3,𝔽₄)	—	67	4	no	—
1305	H(3,𝔽₄)	—	67	2	no	—
1306	H(3,𝔽₄)	—	67	4	no	—
1307	H(3,𝔽₄)	—	67	2	no	—
1308	H(3,𝔽₄)	—	67	4	no	—
1309	H(3,𝔽₄)	C₂×D₆₇	1	2	yes	complemented
1310	#560	—	67	2	no	—
1311	#560	—	67	4	no	—
1312	#560	—	67	2	no	—
1313	#560	—	67	4	no	—
1314	#560	—	67	4	no	—
1315	#560	—	67	4	no	—
1316	#560	—	67	4	no	—
1317	#560	—	67	4	no	—
1318	#560	—	67	2	no	—
1319	#560	C₂×D₆₇	1	2	yes	complemented
1320	#559	—	67	2	no	—
1321	#559	—	67	4	no	—
1322	#559	—	67	4	no	—
1323	#559	—	67	2	no	—
1324	#559	—	67	4	no	—
1325	#559	—	67	2	no	—
1326	#559	—	67	4	no	—
1327	#559	—	67	4	no	—
1328	#559	—	67	4	no	—
1329	#559	C₂×D₆₇	1	2	yes	complemented
1330	#556	—	67	2	no	—
1331	#556	—	67	4	no	—
1332	#556	—	67	4	no	—
1333	#556	—	67	4	no	—
1334	#556	—	67	2	no	—
1335	#556	—	67	2	no	—
1336	#556	—	67	4	no	—
1337	#556	—	67	2	no	—
1338	#556	—	67	2	no	—
1339	#556	—	67	2	no	—
1340	#556	—	67	2	no	—
1341	#556	C₂×D₆₇	1	2	yes	complemented
1342	#555	—	67	2	no	—
1343	#555	—	67	4	no	—
1344	#555	—	67	4	no	—
1345	#555	—	67	2	no	—
1346	#555	—	67	2	no	—
1347	#555	—	67	4	no	—
1348	#555	—	67	2	no	—
1349	#555	—	67	2	no	—
1350	#555	—	67	2	no	—
1351	#555	—	67	2	no	—
1352	#555	—	67	4	no	—
1353	#555	C₂×D₆₇	1	2	yes	complemented
1354	#551	—	67	4	no	—
1355	#551	—	67	2	no	—
1356	#551	—	67	2	no	—
1357	#551	—	67	4	no	—
1358	#551	—	67	4	no	—
1359	#551	—	67	2	no	—
1360	#551	—	67	4	no	—
1361	#551	—	67	4	no	—
1362	#551	—	67	4	no	—
1363	#551	C₂×D₆₇	1	2	yes	complemented
1364	#548	—	67	2	no	—
1365	#548	—	67	2	no	—
1366	#548	—	67	4	no	—
1367	#548	—	67	2	no	—
1368	#548	—	67	2	no	—
1369	#548	—	67	4	no	—
1370	#548	—	67	4	no	—
1371	#548	—	67	2	no	—
1372	#548	—	67	2	no	—
1373	#548	—	67	4	no	—
1374	#548	—	67	2	no	—
1375	#548	C₂×D₆₇	1	2	yes	complemented
1376	#546	—	67	2	no	—
1377	#546	—	67	2	no	—
1378	#546	—	67	2	no	—
1379	#546	—	67	4	no	—
1380	#546	—	67	2	no	—
1381	#546	—	67	4	no	—
1382	#546	—	67	2	no	—
1383	#546	—	67	4	no	—
1384	#546	—	67	2	no	—
1385	#546	—	67	2	no	—
1386	#546	—	67	4	no	—
1387	#546	C₂×D₆₇	1	2	yes	complemented
1388	#542	—	67	2	no	—
1389	#542	—	67	4	no	—
1390	#542	—	67	4	no	—
1391	#542	—	67	4	no	—
1392	#542	—	67	4	no	—
1393	#542	—	67	4	no	—
1394	#542	—	67	4	no	—
1395	#542	—	67	4	no	—
1396	#542	—	67	2	no	—
1397	#542	—	67	4	no	—
1398	#542	—	67	4	no	—
1399	#542	—	67	4	no	—
1400	#542	—	67	4	no	—
1401	#542	—	67	4	no	—
1402	#542	—	67	4	no	—
1403	#542	—	67	4	no	—
1404	#542	—	67	2	no	—
1405	#542	—	67	4	no	—
1406	#542	—	67	2	no	—
1407	#542	—	67	4	no	—
1408	#542	—	67	2	no	—
1409	#542	—	67	4	no	—
1410	#542	—	67	2	no	—
1411	#542	—	67	4	no	—
1412	#542	—	67	2	no	—
1413	#542	—	67	4	no	—
1414	#542	C₂×D₆₇	1	2	yes	complemented
1415	#542	C₂×D₆₇	1	4	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	4	no	—
1426	#538	—	67	4	no	—
1427	#538	—	67	4	no	—
1428	#538	—	67	4	no	—
1429	#538	—	67	4	no	—
1430	#538	—	67	4	no	—
1431	#538	C₂×D₆₇	1	4	yes	complemented
1432	#536	—	67	1	no	—
1433	#536	—	67	1	no	—
1434	#536	—	67	2	no	—
1435	#536	—	67	2	no	—
1436	#536	—	67	2	no	—
1437	#536	—	67	2	no	—
1438	#536	—	67	2	no	—
1439	#536	—	67	2	no	—
1440	#536	—	67	1	no	—
1441	#536	C₂×D₆₇	1	1	yes	characteristic, complemented
1442	#535	—	67	1	no	—
1443	#535	—	67	1	no	—
1444	#535	—	67	2	no	—
1445	#535	—	67	2	no	—
1446	#535	—	67	2	no	—
1447	#535	—	67	2	no	—
1448	#535	—	67	2	no	—
1449	#535	—	67	2	no	—
1450	#535	—	67	1	no	—
1451	#535	C₂×D₆₇	1	1	yes	characteristic, complemented
1452	C₂×C₄⋊Q₈	—	67	2	no	—
1453	C₂×C₄⋊Q₈	—	67	2	no	—
1454	C₂×#127	—	67	2	no	—
1455	C₂×#126	—	67	4	no	—
1456	C₂×#126	—	67	4	no	—
1457	C₂×#126	—	67	4	no	—
1458	C₂×#124	—	67	2	no	—
1459	C₂×#124	—	67	4	no	—
1460	C₂×#124	—	67	2	no	—
1461	C₂×#124	—	67	4	no	—
1462	C₂×#124	—	67	2	no	—
1463	C₂×#124	—	67	4	no	—
1464	C₂×#124	—	67	4	no	—
1465	C₂×#124	—	67	4	no	—
1466	#525	—	67	1	no	—
1467	#525	—	67	2	no	—
1468	#525	—	67	1	no	—
1469	#525	—	67	2	no	—
1470	#525	—	67	1	no	—
1471	#525	—	67	1	no	—
1472	#525	—	67	4	no	—
1473	#525	—	67	2	no	—
1474	#525	—	67	2	no	—
1475	#525	—	67	2	no	—
1476	#525	—	67	2	no	—
1477	#525	—	67	2	no	—
1478	#525	—	67	2	no	—
1479	#525	—	67	1	no	—
1480	#525	—	67	1	no	—
1481	#525	—	67	4	no	—
1482	#525	—	67	2	no	—
1483	#525	—	67	2	no	—
1484	#525	—	67	4	no	—
1485	#525	—	67	4	no	—
1486	#525	—	67	1	no	—
1487	#525	—	67	2	no	—
1488	#525	C₂×D₆₇	1	1	yes	characteristic, complemented
1489	#525	C₂×D₆₇	1	2	yes	complemented
1490	C₂×#123	—	67	1	no	—
1491	C₂×#123	—	67	4	no	—
1492	C₂×#123	—	67	1	no	—
1493	C₂×#123	—	67	2	no	—
1494	C₂×#123	—	67	2	no	—
1495	C₂×#123	—	67	4	no	—
1496	C₂×#123	—	67	4	no	—
1497	C₂×C₂²⋊Q₈	—	67	2	no	—
1498	C₂×C₂²⋊Q₈	—	67	2	no	—
1499	C₂×C₂²⋊Q₈	—	67	2	no	—
1500	C₂×C₂²⋊Q₈	—	67	2	no	—
1501	C₂×C₂²⋊Q₈	—	67	4	no	—
1502	C₂×C₂²⋊Q₈	—	67	4	no	—
1503	C₂×#121	—	67	2	no	—
1504	C₂×#121	—	67	2	no	—
1505	C₂×#121	—	67	2	no	—
1506	C₂×#121	—	67	4	no	—
1507	C₂×#121	—	67	2	no	—
1508	C₂×#121	—	67	4	no	—
1509	C₂×#121	—	67	4	no	—
1510	C₂×#120	—	67	1	no	—
1511	C₂×#120	—	67	2	no	—
1512	C₂×#120	—	67	4	no	—
1513	C₂×#120	—	67	1	no	—
1514	C₂×#120	—	67	4	no	—
1515	C₂×#120	—	67	2	no	—
1516	C₂×C₄×Q₈	—	67	2	no	—
1517	C₂×C₄×Q₈	—	67	4	no	—
1518	C₂×C₄×D₄	—	67	2	no	—
1519	C₂×C₄×D₄	—	67	4	no	—
1520	C₂×C₄×D₄	—	67	2	no	—
1521	C₂×C₄×D₄	—	67	4	no	—
1522	C₂×C₄×D₄	—	67	4	no	—
1523	C₂×C₄×D₄	—	67	2	no	—
1524	C₂×#117	—	67	1	no	—
1525	C₂×#117	—	67	2	no	—
1526	C₂×#117	—	67	1	no	—
1527	C₂×#117	—	67	1	no	—
1528	C₂×#117	—	67	4	no	—
1529	C₂²×C₂²⋊C₄	—	67	4	no	—
1530	C₂⁵	—	67	2	no	—
1531	C₂⁵	—	67	1	no	—
1532	C₂×#41	—	268	8	no	—
1533	C₂×#41	—	268	4	no	—
1534	C₂×#41	—	67	1	no	—
1535	C₂×#41	—	67	2	no	—
1536	C₂×#41	—	67	1	no	—
1537	C₂×#41	—	67	1	no	—
1538	C₂×#41	—	67	1	no	—
1539	C₂×#41	—	67	2	no	—
1540	C₂×#41	—	67	4	no	—
1541	C₂×#41	—	67	1	no	—
1542	C₂×#41	—	67	1	no	—
1543	C₂×#41	—	67	1	no	—
1544	C₂×#41	—	67	2	no	—
1545	C₂×#41	—	67	4	no	—
1546	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1547	C₂×#41	C₂²×D₆₇	1	2	yes	—
1548	C₂²×Q₈	—	268	4	no	—
1549	C₂²×Q₈	—	67	4	no	—
1550	C₂²×Q₈	—	67	2	no	—
1551	C₂²×Q₈	—	67	1	no	—
1552	C₂²×Q₈	—	67	2	no	—
1553	C₂²×Q₈	—	67	2	no	—
1554	C₂²×Q₈	—	67	2	no	—
1555	C₂²×Q₈	—	67	1	no	—
1556	C₂²×Q₈	—	67	2	no	—
1557	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1558	C₂²×D₄	—	268	4	no	—
1559	C₂²×D₄	—	67	2	no	—
1560	C₂²×D₄	—	67	2	no	—
1561	C₂²×D₄	—	67	4	no	—
1562	C₂²×D₄	—	67	4	no	—
1563	C₂²×D₄	—	67	2	no	—
1564	C₂²×D₄	—	67	4	no	—
1565	C₂²×D₄	—	67	1	no	—
1566	C₂²×D₄	—	67	1	no	—
1567	C₂²×D₄	—	67	4	no	—
1568	C₂²×D₄	—	67	1	no	—
1569	C₂²×D₄	—	67	2	no	—
1570	C₂²×D₄	—	67	2	no	—
1571	C₂²×D₄	—	67	2	no	—
1572	C₂²×D₄	—	67	2	no	—
1573	C₂²×D₄	—	67	1	no	—
1574	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
1575	C₂³×C₄	—	268	4	no	—
1576	C₂³×C₄	—	67	1	no	—
1577	C₂³×C₄	—	67	4	no	—
1578	C₂³×C₄	—	67	4	no	—
1579	C₂³×C₄	—	67	1	no	—
1580	C₂³×C₄	—	67	2	no	—
1581	C₂³×C₄	—	67	2	no	—
1582	C₂³×C₄	—	67	1	no	—
1583	C₂³×C₄	—	67	2	no	—
1584	C₂³×C₄	—	67	2	no	—
1585	C₂³×C₄	—	67	1	no	—
1586	C₂³×C₄	—	67	1	no	—
1587	C₂³×C₄	—	67	2	no	—
1588	C₂³×C₄	—	67	1	no	—
1589	C₂³×C₄	—	67	1	no	—
1590	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
1591	C₄⋊Q₈	—	67	2	no	—
1592	C₄⋊Q₈	—	67	2	no	—
1593	C₄⋊Q₈	—	67	4	no	—
1594	C₄⋊Q₈	—	67	4	no	—
1595	C₄⋊Q₈	—	67	4	no	—
1596	C₄⋊Q₈	—	67	4	no	—
1597	C₄⋊Q₈	—	67	2	no	—
1598	C₄⋊Q₈	—	67	2	no	—
1599	C₄⋊Q₈	—	67	2	no	—
1600	C₄⋊Q₈	—	67	2	no	—
1601	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1602	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1603	#127	—	67	2	no	—
1604	#127	—	67	2	no	—
1605	#127	—	67	4	no	—
1606	#127	—	67	4	no	—
1607	#127	—	67	2	no	—
1608	#127	C₂²×D₆₇	1	2	yes	—
1609	#126	—	67	4	no	—
1610	#126	—	67	4	no	—
1611	#126	—	67	4	no	—
1612	#126	—	67	4	no	—
1613	#126	—	67	4	no	—
1614	#126	—	67	4	no	—
1615	#126	—	67	4	no	—
1616	#126	—	67	4	no	—
1617	#126	—	67	4	no	—
1618	#126	—	67	4	no	—
1619	#126	—	67	4	no	—
1620	#126	—	67	4	no	—
1621	#126	—	67	4	no	—
1622	#126	—	67	4	no	—
1623	#126	—	67	4	no	—
1624	#126	—	67	4	no	—
1625	#126	—	67	4	no	—
1626	#126	—	67	4	no	—
1627	#126	—	67	4	no	—
1628	#126	—	67	4	no	—
1629	#126	—	67	4	no	—
1630	#126	C₂²×D₆₇	1	4	yes	complemented
1631	#126	C₂²×D₆₇	1	4	yes	complemented
1632	#126	C₂²×D₆₇	1	4	yes	complemented
1633	#124	—	67	2	no	—
1634	#124	—	67	2	no	—
1635	#124	—	67	4	no	—
1636	#124	—	67	4	no	—
1637	#124	—	67	2	no	—
1638	#124	—	67	4	no	—
1639	#124	—	67	4	no	—
1640	#124	—	67	4	no	—
1641	#124	—	67	2	no	—
1642	#124	—	67	2	no	—
1643	#124	—	67	4	no	—
1644	#124	—	67	4	no	—
1645	#124	—	67	2	no	—
1646	#124	—	67	4	no	—
1647	#124	—	67	4	no	—
1648	#124	—	67	4	no	—
1649	#124	—	67	4	no	—
1650	#124	—	67	4	no	—
1651	#124	—	67	4	no	—
1652	#124	—	67	4	no	—
1653	#124	—	67	4	no	—
1654	#124	—	67	4	no	—
1655	#124	—	67	4	no	—
1656	#124	—	67	4	no	—
1657	#124	—	67	4	no	—
1658	#124	—	67	4	no	—
1659	#124	—	67	4	no	—
1660	#124	—	67	4	no	—
1661	#124	—	67	4	no	—
1662	#124	—	67	4	no	—
1663	#124	—	67	4	no	—
1664	#124	—	67	4	no	—
1665	#124	—	67	4	no	—
1666	#124	—	67	4	no	—
1667	#124	—	67	4	no	—
1668	#124	—	67	4	no	—
1669	#124	—	67	4	no	—
1670	#124	—	67	4	no	—
1671	#124	—	67	4	no	—
1672	#124	—	67	4	no	—
1673	#124	—	67	4	no	—
1674	#124	—	67	4	no	—
1675	#124	—	67	2	no	—
1676	#124	—	67	2	no	—
1677	#124	—	67	4	no	—
1678	#124	—	67	4	no	—
1679	#124	—	67	2	no	—
1680	#124	—	67	4	no	—
1681	#124	—	67	4	no	—
1682	#124	—	67	4	no	—
1683	#124	C₂²×D₆₇	1	2	yes	—
1684	#124	C₂²×D₆₇	1	4	yes	—
1685	#124	C₂²×D₆₇	1	2	yes	complemented
1686	#124	C₂²×D₆₇	1	4	yes	complemented
1687	#124	C₂²×D₆₇	1	2	yes	complemented
1688	#124	C₂²×D₆₇	1	4	yes	complemented
1689	#124	C₂²×D₆₇	1	4	yes	complemented
1690	#124	C₂²×D₆₇	1	4	yes	complemented
1691	#123	—	67	4	no	—
1692	#123	—	67	1	no	—
1693	#123	—	67	1	no	—
1694	#123	—	67	2	no	—
1695	#123	—	67	2	no	—
1696	#123	—	67	4	no	—
1697	#123	—	67	4	no	—
1698	#123	—	67	4	no	—
1699	#123	—	67	1	no	—
1700	#123	—	67	1	no	—
1701	#123	—	67	2	no	—
1702	#123	—	67	2	no	—
1703	#123	—	67	4	no	—
1704	#123	—	67	4	no	—
1705	#123	—	67	4	no	—
1706	#123	—	67	4	no	—
1707	#123	—	67	2	no	—
1708	#123	—	67	2	no	—
1709	#123	—	67	4	no	—
1710	#123	—	67	4	no	—
1711	#123	—	67	4	no	—
1712	#123	—	67	4	no	—
1713	#123	—	67	4	no	—
1714	#123	—	67	4	no	—
1715	#123	—	67	4	no	—
1716	#123	—	67	4	no	—
1717	#123	—	67	4	no	—
1718	#123	—	67	2	no	—
1719	#123	—	67	1	no	—
1720	#123	—	67	2	no	—
1721	#123	—	67	1	no	—
1722	#123	—	67	4	no	—
1723	#123	—	67	2	no	—
1724	#123	—	67	4	no	—
1725	#123	—	67	2	no	—
1726	#123	—	67	4	no	—
1727	#123	—	67	4	no	—
1728	#123	—	67	4	no	—
1729	#123	—	67	4	no	—
1730	#123	—	67	4	no	—
1731	#123	—	67	4	no	—
1732	#123	C₂²×D₆₇	1	1	yes	characteristic
1733	#123	C₂²×D₆₇	1	4	yes	complemented
1734	#123	C₂²×D₆₇	1	1	yes	characteristic, complemented
1735	#123	C₂²×D₆₇	1	2	yes	complemented
1736	#123	C₂²×D₆₇	1	2	yes	complemented
1737	#123	C₂²×D₆₇	1	4	yes	complemented
1738	#123	C₂²×D₆₇	1	4	yes	complemented
1739	C₂²⋊Q₈	—	67	2	no	—
1740	C₂²⋊Q₈	—	67	2	no	—
1741	C₂²⋊Q₈	—	67	2	no	—
1742	C₂²⋊Q₈	—	67	2	no	—
1743	C₂²⋊Q₈	—	67	4	no	—
1744	C₂²⋊Q₈	—	67	4	no	—
1745	C₂²⋊Q₈	—	67	2	no	—
1746	C₂²⋊Q₈	—	67	2	no	—
1747	C₂²⋊Q₈	—	67	2	no	—
1748	C₂²⋊Q₈	—	67	2	no	—
1749	C₂²⋊Q₈	—	67	4	no	—
1750	C₂²⋊Q₈	—	67	4	no	—
1751	C₂²⋊Q₈	—	67	4	no	—
1752	C₂²⋊Q₈	—	67	2	no	—
1753	C₂²⋊Q₈	—	67	2	no	—
1754	C₂²⋊Q₈	—	67	2	no	—
1755	C₂²⋊Q₈	—	67	2	no	—
1756	C₂²⋊Q₈	—	67	4	no	—
1757	C₂²⋊Q₈	—	67	2	no	—
1758	C₂²⋊Q₈	—	67	4	no	—
1759	C₂²⋊Q₈	—	67	2	no	—
1760	C₂²⋊Q₈	—	67	4	no	—
1761	C₂²⋊Q₈	—	67	4	no	—
1762	C₂²⋊Q₈	—	67	4	no	—
1763	C₂²⋊Q₈	—	67	4	no	—
1764	C₂²⋊Q₈	—	67	4	no	—
1765	C₂²⋊Q₈	—	67	4	no	—
1766	C₂²⋊Q₈	—	67	4	no	—
1767	C₂²⋊Q₈	—	67	2	no	—
1768	C₂²⋊Q₈	—	67	2	no	—
1769	C₂²⋊Q₈	—	67	4	no	—
1770	C₂²⋊Q₈	—	67	4	no	—
1771	C₂²⋊Q₈	—	67	4	no	—
1772	C₂²⋊Q₈	—	67	4	no	—
1773	C₂²⋊Q₈	—	67	4	no	—
1774	C₂²⋊Q₈	—	67	4	no	—
1775	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1776	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1777	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1778	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1779	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1780	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1781	#121	—	67	2	no	—
1782	#121	—	67	4	no	—
1783	#121	—	67	2	no	—
1784	#121	—	67	2	no	—
1785	#121	—	67	2	no	—
1786	#121	—	67	2	no	—
1787	#121	—	67	4	no	—
1788	#121	—	67	2	no	—
1789	#121	—	67	4	no	—
1790	#121	—	67	4	no	—
1791	#121	—	67	4	no	—
1792	#121	—	67	4	no	—
1793	#121	—	67	4	no	—
1794	#121	—	67	4	no	—
1795	#121	—	67	4	no	—
1796	#121	—	67	4	no	—
1797	#121	—	67	4	no	—
1798	#121	—	67	4	no	—
1799	#121	—	67	2	no	—
1800	#121	—	67	2	no	—
1801	#121	—	67	2	no	—
1802	#121	—	67	2	no	—
1803	#121	—	67	4	no	—
1804	#121	—	67	4	no	—
1805	#121	—	67	4	no	—
1806	#121	—	67	2	no	—
1807	#121	—	67	2	no	—
1808	#121	—	67	2	no	—
1809	#121	—	67	2	no	—
1810	#121	—	67	4	no	—
1811	#121	—	67	4	no	—
1812	#121	—	67	4	no	—
1813	#121	—	67	4	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	4	no	—
1822	#121	—	67	4	no	—
1823	#121	—	67	4	no	—
1824	#121	C₂²×D₆₇	1	2	yes	—
1825	#121	C₂²×D₆₇	1	2	yes	—
1826	#121	C₂²×D₆₇	1	2	yes	—
1827	#121	C₂²×D₆₇	1	4	yes	—
1828	#121	C₂²×D₆₇	1	2	yes	complemented
1829	#121	C₂²×D₆₇	1	4	yes	complemented
1830	#121	C₂²×D₆₇	1	4	yes	complemented
1831	#120	—	67	1	no	—
1832	#120	—	67	4	no	—
1833	#120	—	67	1	no	—
1834	#120	—	67	2	no	—
1835	#120	—	67	2	no	—
1836	#120	—	67	4	no	—
1837	#120	—	67	1	no	—
1838	#120	—	67	2	no	—
1839	#120	—	67	4	no	—
1840	#120	—	67	4	no	—
1841	#120	—	67	4	no	—
1842	#120	—	67	1	no	—
1843	#120	—	67	2	no	—
1844	#120	—	67	2	no	—
1845	#120	—	67	4	no	—
1846	#120	—	67	2	no	—
1847	#120	—	67	4	no	—
1848	#120	—	67	4	no	—
1849	#120	—	67	4	no	—
1850	#120	—	67	4	no	—
1851	#120	—	67	2	no	—
1852	#120	—	67	1	no	—
1853	#120	—	67	4	no	—
1854	#120	—	67	4	no	—
1855	#120	—	67	4	no	—
1856	#120	—	67	2	no	—
1857	#120	—	67	1	no	—
1858	#120	—	67	4	no	—
1859	#120	—	67	2	no	—
1860	#120	—	67	4	no	—
1861	#120	—	67	2	no	—
1862	#120	—	67	4	no	—
1863	#120	—	67	4	no	—
1864	#120	—	67	4	no	—
1865	#120	C₂²×D₆₇	1	1	yes	characteristic
1866	#120	C₂²×D₆₇	1	2	yes	—
1867	#120	C₂²×D₆₇	1	4	yes	—
1868	#120	C₂²×D₆₇	1	1	yes	characteristic, complemented
1869	#120	C₂²×D₆₇	1	4	yes	complemented
1870	#120	C₂²×D₆₇	1	2	yes	complemented
1871	C₄×Q₈	—	67	2	no	—
1872	C₄×Q₈	—	67	4	no	—
1873	C₄×Q₈	—	67	4	no	—
1874	C₄×Q₈	—	67	2	no	—
1875	C₄×Q₈	—	67	4	no	—
1876	C₄×Q₈	—	67	4	no	—
1877	C₄×Q₈	—	67	4	no	—
1878	C₄×Q₈	—	67	4	no	—
1879	C₄×Q₈	—	67	2	no	—
1880	C₄×Q₈	—	67	4	no	—
1881	C₄×Q₈	—	67	4	no	—
1882	C₄×Q₈	—	67	4	no	—
1883	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1884	C₄×Q₈	C₂²×D₆₇	1	4	yes	complemented
1885	C₄×D₄	—	67	4	no	—
1886	C₄×D₄	—	67	2	no	—
1887	C₄×D₄	—	67	2	no	—
1888	C₄×D₄	—	67	4	no	—
1889	C₄×D₄	—	67	4	no	—
1890	C₄×D₄	—	67	2	no	—
1891	C₄×D₄	—	67	4	no	—
1892	C₄×D₄	—	67	4	no	—
1893	C₄×D₄	—	67	2	no	—
1894	C₄×D₄	—	67	2	no	—
1895	C₄×D₄	—	67	2	no	—
1896	C₄×D₄	—	67	2	no	—
1897	C₄×D₄	—	67	4	no	—
1898	C₄×D₄	—	67	4	no	—
1899	C₄×D₄	—	67	4	no	—
1900	C₄×D₄	—	67	4	no	—
1901	C₄×D₄	—	67	4	no	—
1902	C₄×D₄	—	67	4	no	—
1903	C₄×D₄	—	67	2	no	—
1904	C₄×D₄	—	67	2	no	—
1905	C₄×D₄	—	67	4	no	—
1906	C₄×D₄	—	67	4	no	—
1907	C₄×D₄	—	67	2	no	—
1908	C₄×D₄	—	67	4	no	—
1909	C₄×D₄	—	67	4	no	—
1910	C₄×D₄	—	67	2	no	—
1911	C₄×D₄	—	67	2	no	—
1912	C₄×D₄	—	67	2	no	—
1913	C₄×D₄	—	67	2	no	—
1914	C₄×D₄	—	67	4	no	—
1915	C₄×D₄	—	67	4	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	2	no	—
1921	C₄×D₄	—	67	2	no	—
1922	C₄×D₄	—	67	4	no	—
1923	C₄×D₄	—	67	4	no	—
1924	C₄×D₄	—	67	2	no	—
1925	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1926	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1927	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1928	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1929	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1930	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1931	#117	—	67	1	no	—
1932	#117	—	67	2	no	—
1933	#117	—	67	1	no	—
1934	#117	—	67	1	no	—
1935	#117	—	67	4	no	—
1936	#117	—	67	2	no	—
1937	#117	—	67	2	no	—
1938	#117	—	67	2	no	—
1939	#117	—	67	2	no	—
1940	#117	—	67	2	no	—
1941	#117	—	67	4	no	—
1942	#117	—	67	4	no	—
1943	#117	—	67	1	no	—
1944	#117	—	67	1	no	—
1945	#117	—	67	4	no	—
1946	#117	—	67	2	no	—
1947	#117	—	67	2	no	—
1948	#117	—	67	4	no	—
1949	#117	—	67	4	no	—
1950	#117	—	67	2	no	—
1951	#117	—	67	4	no	—
1952	#117	—	67	2	no	—
1953	#117	—	67	2	no	—
1954	#117	—	67	4	no	—
1955	#117	—	67	4	no	—
1956	#117	C₂²×D₆₇	1	1	yes	characteristic, complemented
1957	#117	C₂²×D₆₇	1	2	yes	complemented
1958	#117	C₂²×D₆₇	1	1	yes	characteristic, complemented
1959	#117	C₂²×D₆₇	1	1	yes	characteristic, complemented
1960	#117	C₂²×D₆₇	1	4	yes	complemented
1961	C₂×C₄⋊C₄	—	67	2	no	—
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	4	no	—
1966	C₂×C₄⋊C₄	—	67	4	no	—
1967	C₂×C₄⋊C₄	—	67	2	no	—
1968	C₂×C₄⋊C₄	—	67	4	no	—
1969	C₂×C₄⋊C₄	—	67	4	no	—
1970	C₂×C₄⋊C₄	—	67	4	no	—
1971	C₂×C₂²⋊C₄	—	67	4	no	—
1972	C₂×C₂²⋊C₄	—	67	4	no	—
1973	C₂×C₂²⋊C₄	—	67	4	no	—
1974	C₂×C₂²⋊C₄	—	67	2	no	—
1975	C₂×C₂²⋊C₄	—	67	4	no	—
1976	C₂×C₂²⋊C₄	—	67	4	no	—
1977	C₂×C₂²⋊C₄	—	67	4	no	—
1978	C₂×C₂²⋊C₄	—	67	4	no	—
1979	C₂×C₂²⋊C₄	—	67	4	no	—
1980	C₂×C₂²⋊C₄	—	67	4	no	—
1981	C₂×C₂²⋊C₄	—	67	4	no	—
1982	C₂×C₂²⋊C₄	—	67	2	no	—
1983	C₂×C₂²⋊C₄	—	67	4	no	—
1984	C₂×C₂²⋊C₄	—	67	4	no	—
1985	C₂×C₂²⋊C₄	—	67	1	no	—
1986	C₂×C₂²⋊C₄	—	67	1	no	—
1987	C₂×C₂²⋊C₄	—	67	2	no	—
1988	C₂×C₂²⋊C₄	—	67	2	no	—
1989	C₂×C₂²⋊C₄	—	67	2	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	2	no	—
1995	C₂×C₂²⋊C₄	—	67	4	no	—
1996	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
1997	C₂×C₄²	—	67	2	no	—
1998	C₂×C₄²	—	67	4	no	—
1999	C₂×C₄²	—	67	2	no	—
2000	C₂×C₄²	—	67	2	no	—
2001	C₂×C₄²	—	67	4	no	—
2002	C₂⁴	—	268	2	no	—
2003	C₂⁴	—	268	4	no	—
2004	C₂⁴	—	268	4	no	—
2005	C₂⁴	—	268	8	no	—
2006	C₂⁴	—	67	4	no	—
2007	C₂⁴	—	67	2	no	—
2008	C₂⁴	—	67	1	no	—
2009	C₂⁴	—	67	2	no	—
2010	C₂⁴	—	67	1	no	—
2011	C₂⁴	—	67	2	no	—
2012	C₂⁴	—	67	1	no	—
2013	C₂⁴	—	67	4	no	—
2014	C₂⁴	—	67	1	no	—
2015	C₂⁴	C₂³×D₆₇	1	2	yes	—
2016	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2017	#41	—	4	2	no	—
2018	#41	—	4	4	no	—
2019	#41	—	268	4	no	—
2020	#41	—	268	2	no	—
2021	#41	—	268	2	no	—
2022	#41	—	268	2	no	—
2023	#41	—	268	8	no	—
2024	#41	—	268	4	no	—
2025	#41	—	268	8	no	—
2026	#41	—	268	4	no	—
2027	#41	—	268	2	no	—
2028	#41	—	268	2	no	—
2029	#41	—	268	2	no	—
2030	#41	—	268	2	no	—
2031	C₂×Q₈	—	4	2	no	—
2032	C₂×Q₈	—	268	2	no	—
2033	C₂×Q₈	—	268	4	no	—
2034	C₂×Q₈	—	268	4	no	—
2035	C₂×Q₈	—	268	4	no	—
2036	C₂×Q₈	—	268	4	no	—
2037	C₂×Q₈	—	268	2	no	—
2038	C₂×Q₈	—	268	8	no	—
2039	C₂×Q₈	—	67	4	no	—
2040	C₂×Q₈	—	67	4	no	—
2041	C₂×Q₈	—	67	4	no	—
2042	C₂×Q₈	—	67	4	no	—
2043	C₂×Q₈	—	67	2	no	—
2044	C₂×Q₈	—	67	1	no	—
2045	C₂×Q₈	—	67	1	no	—
2046	C₂×Q₈	—	67	1	no	—
2047	C₂×Q₈	—	67	4	no	—
2048	C₂×Q₈	—	67	2	no	—
2049	C₂×Q₈	—	134	8	no	—
2050	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2051	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
2052	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2053	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2054	C₂×D₄	—	4	2	no	—
2055	C₂×D₄	—	268	2	no	—
2056	C₂×D₄	—	268	4	no	—
2057	C₂×D₄	—	268	4	no	—
2058	C₂×D₄	—	268	2	no	—
2059	C₂×D₄	—	268	8	no	—
2060	C₂×D₄	—	268	2	no	—
2061	C₂×D₄	—	268	2	no	—
2062	C₂×D₄	—	268	4	no	—
2063	C₂×D₄	—	268	8	no	—
2064	C₂×D₄	—	268	8	no	—
2065	C₂×D₄	—	268	8	no	—
2066	C₂×D₄	—	268	4	no	—
2067	C₂×D₄	—	268	4	no	—
2068	C₂×D₄	—	268	4	no	—
2069	C₂×D₄	—	67	2	no	—
2070	C₂×D₄	—	67	2	no	—
2071	C₂×D₄	—	67	4	no	—
2072	C₂×D₄	—	67	4	no	—
2073	C₂×D₄	—	67	4	no	—
2074	C₂×D₄	—	67	4	no	—
2075	C₂×D₄	—	67	2	no	—
2076	C₂×D₄	—	67	2	no	—
2077	C₂×D₄	—	67	4	no	—
2078	C₂×D₄	—	67	4	no	—
2079	C₂×D₄	—	67	1	no	—
2080	C₂×D₄	—	67	1	no	—
2081	C₂×D₄	—	67	1	no	—
2082	C₂×D₄	—	67	1	no	—
2083	C₂×D₄	—	67	4	no	—
2084	C₂×D₄	—	67	4	no	—
2085	C₂×D₄	—	67	1	no	—
2086	C₂×D₄	—	67	1	no	—
2087	C₂×D₄	—	67	4	no	—
2088	C₂×D₄	—	67	4	no	—
2089	C₂×D₄	—	67	2	no	—
2090	C₂×D₄	—	67	4	no	—
2091	C₂×D₄	—	67	4	no	—
2092	C₂×D₄	—	67	2	no	—
2093	C₂×D₄	—	67	4	no	—
2094	C₂×D₄	—	67	1	no	—
2095	C₂×D₄	—	67	1	no	—
2096	C₂×D₄	—	67	4	no	—
2097	C₂×D₄	—	67	1	no	—
2098	C₂×D₄	—	67	2	no	—
2099	C₂×D₄	—	67	2	no	—
2100	C₂×D₄	—	134	8	no	—
2101	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2102	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2103	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2104	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2105	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2106	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2107	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2108	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2109	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2110	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2111	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2112	C₂²×C₄	—	4	2	no	—
2113	C₂²×C₄	—	268	4	no	—
2114	C₂²×C₄	—	268	2	no	—
2115	C₂²×C₄	—	268	2	no	—
2116	C₂²×C₄	—	268	4	no	—
2117	C₂²×C₄	—	268	4	no	—
2118	C₂²×C₄	—	268	8	no	—
2119	C₂²×C₄	—	268	8	no	—
2120	C₂²×C₄	—	268	2	no	—
2121	C₂²×C₄	—	268	4	no	—
2122	C₂²×C₄	—	268	2	no	—
2123	C₂²×C₄	—	67	4	no	—
2124	C₂²×C₄	—	67	4	no	—
2125	C₂²×C₄	—	67	1	no	—
2126	C₂²×C₄	—	67	2	no	—
2127	C₂²×C₄	—	67	2	no	—
2128	C₂²×C₄	—	67	4	no	—
2129	C₂²×C₄	—	67	4	no	—
2130	C₂²×C₄	—	67	4	no	—
2131	C₂²×C₄	—	67	4	no	—
2132	C₂²×C₄	—	67	2	no	—
2133	C₂²×C₄	—	67	4	no	—
2134	C₂²×C₄	—	67	2	no	—
2135	C₂²×C₄	—	67	2	no	—
2136	C₂²×C₄	—	67	1	no	—
2137	C₂²×C₄	—	67	1	no	—
2138	C₂²×C₄	—	67	2	no	—
2139	C₂²×C₄	—	67	1	no	—
2140	C₂²×C₄	—	67	1	no	—
2141	C₂²×C₄	—	67	2	no	—
2142	C₂²×C₄	—	67	4	no	—
2143	C₂²×C₄	—	67	4	no	—
2144	C₂²×C₄	—	67	1	no	—
2145	C₂²×C₄	—	67	2	no	—
2146	C₂²×C₄	—	67	1	no	—
2147	C₂²×C₄	—	67	2	no	—
2148	C₂²×C₄	—	67	4	no	—
2149	C₂²×C₄	—	67	1	no	—
2150	C₂²×C₄	—	67	1	no	—
2151	C₂²×C₄	—	67	1	no	—
2152	C₂²×C₄	—	67	2	no	—
2153	C₂²×C₄	—	67	2	no	—
2154	C₂²×C₄	—	67	1	no	—
2155	C₂²×C₄	—	67	1	no	—
2156	C₂²×C₄	—	67	1	no	—
2157	C₂²×C₄	—	67	1	no	—
2158	C₂²×C₄	—	134	8	no	—
2159	C₂²×C₄	—	134	4	no	—
2160	C₂²×C₄	—	134	4	no	—
2161	C₂²×C₄	—	134	4	no	—
2162	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2163	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2164	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2165	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2166	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2167	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2168	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2169	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2170	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2171	C₄⋊C₄	—	67	4	no	—
2172	C₄⋊C₄	—	67	2	no	—
2173	C₄⋊C₄	—	67	2	no	—
2174	C₄⋊C₄	—	67	2	no	—
2175	C₄⋊C₄	—	67	2	no	—
2176	C₄⋊C₄	—	67	4	no	—
2177	C₄⋊C₄	—	67	2	no	—
2178	C₄⋊C₄	—	67	2	no	—
2179	C₄⋊C₄	—	67	2	no	—
2180	C₄⋊C₄	—	67	2	no	—
2181	C₄⋊C₄	—	67	4	no	—
2182	C₄⋊C₄	—	67	4	no	—
2183	C₄⋊C₄	—	67	4	no	—
2184	C₄⋊C₄	—	67	4	no	—
2185	C₄⋊C₄	—	67	4	no	—
2186	C₄⋊C₄	—	67	4	no	—
2187	C₄⋊C₄	—	67	2	no	—
2188	C₄⋊C₄	—	67	2	no	—
2189	C₄⋊C₄	—	67	2	no	—
2190	C₄⋊C₄	—	67	4	no	—
2191	C₄⋊C₄	—	67	4	no	—
2192	C₄⋊C₄	—	67	4	no	—
2193	C₄⋊C₄	—	67	4	no	—
2194	C₄⋊C₄	—	67	4	no	—
2195	C₄⋊C₄	—	67	4	no	—
2196	C₄⋊C₄	—	67	4	no	—
2197	C₄⋊C₄	—	67	4	no	—
2198	C₄⋊C₄	—	67	4	no	—
2199	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2200	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2201	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2202	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2203	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2204	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2205	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2206	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2207	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2208	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2209	C₂²⋊C₄	—	67	2	no	—
2210	C₂²⋊C₄	—	67	4	no	—
2211	C₂²⋊C₄	—	67	4	no	—
2212	C₂²⋊C₄	—	67	4	no	—
2213	C₂²⋊C₄	—	67	2	no	—
2214	C₂²⋊C₄	—	67	4	no	—
2215	C₂²⋊C₄	—	67	4	no	—
2216	C₂²⋊C₄	—	67	1	no	—
2217	C₂²⋊C₄	—	67	1	no	—
2218	C₂²⋊C₄	—	67	2	no	—
2219	C₂²⋊C₄	—	67	2	no	—
2220	C₂²⋊C₄	—	67	2	no	—
2221	C₂²⋊C₄	—	67	4	no	—
2222	C₂²⋊C₄	—	67	4	no	—
2223	C₂²⋊C₄	—	67	4	no	—
2224	C₂²⋊C₄	—	67	4	no	—
2225	C₂²⋊C₄	—	67	2	no	—
2226	C₂²⋊C₄	—	67	4	no	—
2227	C₂²⋊C₄	—	67	2	no	—
2228	C₂²⋊C₄	—	67	2	no	—
2229	C₂²⋊C₄	—	67	4	no	—
2230	C₂²⋊C₄	—	67	4	no	—
2231	C₂²⋊C₄	—	67	4	no	—
2232	C₂²⋊C₄	—	67	4	no	—
2233	C₂²⋊C₄	—	67	4	no	—
2234	C₂²⋊C₄	—	67	4	no	—
2235	C₂²⋊C₄	—	67	4	no	—
2236	C₂²⋊C₄	—	67	4	no	—
2237	C₂²⋊C₄	—	67	4	no	—
2238	C₂²⋊C₄	—	67	4	no	—
2239	C₂²⋊C₄	—	67	4	no	—
2240	C₂²⋊C₄	—	67	2	no	—
2241	C₂²⋊C₄	—	67	2	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	2	no	—
2247	C₂²⋊C₄	—	67	4	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	4	no	—
2253	C₂²⋊C₄	—	67	4	no	—
2254	C₂²⋊C₄	—	67	4	no	—
2255	C₂²⋊C₄	—	67	2	no	—
2256	C₂²⋊C₄	—	67	2	no	—
2257	C₂²⋊C₄	—	67	4	no	—
2258	C₂²⋊C₄	—	67	4	no	—
2259	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2260	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2261	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2262	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2263	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2264	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2265	C₂²⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2266	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2267	C₂²⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2268	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2269	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2270	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2271	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2272	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2273	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2274	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2275	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2276	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2277	C₄²	—	67	2	no	—
2278	C₄²	—	67	4	no	—
2279	C₄²	—	67	4	no	—
2280	C₄²	—	67	4	no	—
2281	C₄²	—	67	4	no	—
2282	C₄²	—	67	2	no	—
2283	C₄²	—	67	2	no	—
2284	C₄²	—	67	2	no	—
2285	C₄²	—	67	2	no	—
2286	C₄²	—	67	4	no	—
2287	C₄²	—	67	4	no	—
2288	C₄²	—	67	4	no	—
2289	C₄²	—	67	4	no	—
2290	C₄²	C₂³×D₆₇	1	2	yes	—
2291	C₄²	C₂³×D₆₇	1	4	yes	—
2292	C₄²	C₂³×D₆₇	1	2	yes	—
2293	C₄²	C₂³×D₆₇	1	2	yes	—
2294	C₄²	C₂³×D₆₇	1	4	yes	—
2295	C₂³	—	4	1	no	—
2296	C₂³	—	4	2	no	—
2297	C₂³	—	4	2	no	—
2298	C₂³	—	4	4	no	—
2299	C₂³	—	268	2	no	—
2300	C₂³	—	268	1	no	—
2301	C₂³	—	268	2	no	—
2302	C₂³	—	268	2	no	—
2303	C₂³	—	268	2	no	—
2304	C₂³	—	268	2	no	—
2305	C₂³	—	268	4	no	—
2306	C₂³	—	268	4	no	—
2307	C₂³	—	268	4	no	—
2308	C₂³	—	268	4	no	—
2309	C₂³	—	268	16	no	—
2310	C₂³	—	536	16	no	—
2311	C₂³	—	67	1	no	—
2312	C₂³	—	67	1	no	—
2313	C₂³	—	67	2	no	—
2314	C₂³	—	67	1	no	—
2315	C₂³	—	67	4	no	—
2316	C₂³	—	67	1	no	—
2317	C₂³	—	134	2	no	—
2318	C₂³	—	134	2	no	—
2319	C₂³	—	134	4	no	—
2320	C₂³	—	134	8	no	—
2321	C₂³	—	134	8	no	—
2322	C₂³	—	134	2	no	—
2323	C₂³	—	134	4	no	—
2324	C₂³	—	134	4	no	—
2325	C₂³	—	134	4	no	—
2326	C₂³	—	134	4	no	—
2327	C₂³	—	134	8	no	—
2328	C₂³	—	134	4	no	—
2329	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2330	C₂³	C₂⁴×D₆₇	1	2	yes	—
2331	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2332	C₂³	C₂⁴×D₆₇	1	4	yes	—
2333	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2334	Q₈	—	2	4	no	—
2335	Q₈	—	4	2	no	—
2336	Q₈	—	4	1	no	—
2337	Q₈	—	4	4	no	—
2338	Q₈	—	268	2	no	—
2339	Q₈	—	268	4	no	—
2340	Q₈	—	268	1	no	—
2341	Q₈	—	268	1	no	—
2342	Q₈	—	268	1	no	—
2343	Q₈	—	268	4	no	—
2344	Q₈	—	268	4	no	—
2345	Q₈	—	268	4	no	—
2346	Q₈	—	134	8	no	—
2347	Q₈	—	134	4	no	—
2348	D₄	—	2	4	no	—
2349	D₄	—	4	2	no	—
2350	D₄	—	4	1	no	—
2351	D₄	—	4	1	no	—
2352	D₄	—	4	1	no	—
2353	D₄	—	4	4	no	—
2354	D₄	—	4	2	no	—
2355	D₄	—	4	4	no	—
2356	D₄	—	4	4	no	—
2357	D₄	—	4	4	no	—
2358	D₄	—	4	2	no	—
2359	D₄	—	268	2	no	—
2360	D₄	—	268	1	no	—
2361	D₄	—	268	1	no	—
2362	D₄	—	268	1	no	—
2363	D₄	—	268	4	no	—
2364	D₄	—	268	2	no	—
2365	D₄	—	268	4	no	—
2366	D₄	—	268	4	no	—
2367	D₄	—	268	4	no	—
2368	D₄	—	268	2	no	—
2369	D₄	—	268	4	no	—
2370	D₄	—	268	1	no	—
2371	D₄	—	268	1	no	—
2372	D₄	—	268	4	no	—
2373	D₄	—	268	4	no	—
2374	D₄	—	268	1	no	—
2375	D₄	—	268	1	no	—
2376	D₄	—	268	1	no	—
2377	D₄	—	268	1	no	—
2378	D₄	—	268	2	no	—
2379	D₄	—	268	2	no	—
2380	D₄	—	268	4	no	—
2381	D₄	—	268	4	no	—
2382	D₄	—	268	4	no	—
2383	D₄	—	268	4	no	—
2384	D₄	—	268	4	no	—
2385	D₄	—	268	4	no	—
2386	D₄	—	268	2	no	—
2387	D₄	—	268	2	no	—
2388	D₄	—	134	8	no	—
2389	D₄	—	134	4	no	—
2390	C₂×C₄	—	2	4	no	—
2391	C₂×C₄	—	2	2	no	—
2392	C₂×C₄	—	2	2	no	—
2393	C₂×C₄	—	2	2	no	—
2394	C₂×C₄	—	4	1	no	—
2395	C₂×C₄	—	4	2	no	—
2396	C₂×C₄	—	4	2	no	—
2397	C₂×C₄	—	4	4	no	—
2398	C₂×C₄	—	4	4	no	—
2399	C₂×C₄	—	268	2	no	—
2400	C₂×C₄	—	268	2	no	—
2401	C₂×C₄	—	268	2	no	—
2402	C₂×C₄	—	268	4	no	—
2403	C₂×C₄	—	268	4	no	—
2404	C₂×C₄	—	268	4	no	—
2405	C₂×C₄	—	268	4	no	—
2406	C₂×C₄	—	268	4	no	—
2407	C₂×C₄	—	268	1	no	—
2408	C₂×C₄	—	268	2	no	—
2409	C₂×C₄	—	268	2	no	—
2410	C₂×C₄	—	268	4	no	—
2411	C₂×C₄	—	268	4	no	—
2412	C₂×C₄	—	67	1	no	—
2413	C₂×C₄	—	67	4	no	—
2414	C₂×C₄	—	67	2	no	—
2415	C₂×C₄	—	67	4	no	—
2416	C₂×C₄	—	67	4	no	—
2417	C₂×C₄	—	67	1	no	—
2418	C₂×C₄	—	67	2	no	—
2419	C₂×C₄	—	67	1	no	—
2420	C₂×C₄	—	67	2	no	—
2421	C₂×C₄	—	67	4	no	—
2422	C₂×C₄	—	67	1	no	—
2423	C₂×C₄	—	134	4	no	—
2424	C₂×C₄	—	134	2	no	—
2425	C₂×C₄	—	134	2	no	—
2426	C₂×C₄	—	134	2	no	—
2427	C₂×C₄	—	134	4	no	—
2428	C₂×C₄	—	134	2	no	—
2429	C₂×C₄	—	134	8	no	—
2430	C₂×C₄	—	134	4	no	—
2431	C₂×C₄	—	134	8	no	—
2432	C₂×C₄	—	134	2	no	—
2433	C₂×C₄	—	134	2	no	—
2434	C₂×C₄	—	134	8	no	—
2435	C₂×C₄	—	134	4	no	—
2436	C₂×C₄	—	134	4	no	—
2437	C₂×C₄	—	134	2	no	—
2438	C₂×C₄	—	134	2	no	—
2439	C₂×C₄	—	134	2	no	—
2440	C₂×C₄	—	134	4	no	—
2441	C₂×C₄	—	134	2	no	—
2442	C₂×C₄	—	134	2	no	—
2443	C₂×C₄	—	134	2	no	—
2444	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2445	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2446	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2447	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2448	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2449	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2450	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2451	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2452	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2453	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2454	C₂²	—	2	1	no	—
2455	C₂²	—	2	2	no	—
2456	C₂²	—	2	1	no	—
2457	C₂²	—	2	1	no	—
2458	C₂²	—	2	4	no	—
2459	C₂²	—	2	4	no	—
2460	C₂²	—	2	2	no	—
2461	C₂²	—	2	2	no	—
2462	C₂²	—	2	2	no	—
2463	C₂²	—	2	2	no	—
2464	C₂²	—	2	4	no	—
2465	C₂²	—	2	2	no	—
2466	C₂²	—	4	4	no	—
2467	C₂²	—	8	4	no	—
2468	C₂²	—	268	8	no	—
2469	C₂²	—	268	4	no	—
2470	C₂²	—	268	4	no	—
2471	C₂²	—	268	8	no	—
2472	C₂²	—	268	4	no	—
2473	C₂²	—	268	16	no	—
2474	C₂²	—	268	4	no	—
2475	C₂²	—	536	4	no	—
2476	C₂²	—	536	8	no	—
2477	C₂²	—	67	2	no	—
2478	C₂²	—	67	4	no	—
2479	C₂²	—	134	1	no	—
2480	C₂²	—	134	1	no	—
2481	C₂²	—	134	2	no	—
2482	C₂²	—	134	4	no	—
2483	C₂²	—	134	1	no	—
2484	C₂²	—	134	4	no	—
2485	C₂²	—	134	2	no	—
2486	C₂²	—	134	2	no	—
2487	C₂²	—	134	2	no	—
2488	C₂²	—	134	2	no	—
2489	C₂²	—	134	4	no	—
2490	C₂²	—	134	2	no	—
2491	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2492	C₄	—	2	2	no	—
2493	C₄	—	2	1	no	—
2494	C₄	—	2	1	no	—
2495	C₄	—	2	1	no	—
2496	C₄	—	2	4	no	—
2497	C₄	—	2	2	no	—
2498	C₄	—	2	4	no	—
2499	C₄	—	2	4	no	—
2500	C₄	—	2	2	no	—
2501	C₄	—	67	2	no	—
2502	C₄	—	134	2	no	—
2503	C₄	—	134	1	no	—
2504	C₄	—	134	4	no	—
2505	C₄	—	134	1	no	—
2506	C₄	—	134	1	no	—
2507	C₄	—	134	2	no	—
2508	C₄	—	134	4	no	—
2509	C₄	—	134	4	no	—
2510	C₄	—	134	2	no	—
2511	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
2512	C₂	—	4	2	no	—
2513	C₂	—	4	1	no	—
2514	C₂	—	4	1	no	—
2515	C₂	—	4	4	no	—
2516	C₂	—	4	1	no	—
2517	C₂	—	268	1	no	—
2518	C₂	—	268	2	no	—
2519	C₂	—	268	1	no	—
2520	C₂	—	268	4	no	—
2521	C₂	—	268	1	no	—
2522	C₂	—	67	4	no	—
2523	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2524	C₂	#585×D₆₇	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3540	C₂
hypercenter	#3540	D₆₇
hypocenter	C₆₇	C₂×#3540
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3540

Complements

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

N	H ≅ G/N	type
1. #22574486	C₂	semidirect
2. #22574485	C₂	semidirect
3. #22574484	C₂	semidirect
4. #22574483	C₂	semidirect
5. #22574482	C₂	semidirect
6. #22574481	C₂	semidirect
7. #22574480	C₂	semidirect
8. #22574479	C₂	semidirect
9. #22574478	C₂	semidirect
10. #22574477	C₂	semidirect
11. #22574476	C₂	semidirect
12. #22574475	C₂	semidirect
13. #22574474	C₂	semidirect
14. #22574473	C₂	semidirect
15. #22574472	C₂	semidirect
16. H(3,𝔽₄)×D₆₇	C₂	semidirect
17. #560×D₆₇	C₂	semidirect
18. #559×D₆₇	C₂	semidirect
19. #556×D₆₇	C₂	semidirect
20. #555×D₆₇	C₂	semidirect
21. #551×D₆₇	C₂	semidirect
22. #548×D₆₇	C₂	semidirect
23. #546×D₆₇	C₂	semidirect
24. #542×D₆₇	C₂	semidirect
25. #542×D₆₇	C₂	semidirect
26. #538×D₆₇	C₂	semidirect
27. #536×D₆₇	C₂	semidirect
28. #535×D₆₇	C₂	semidirect
29. #525×D₆₇	C₂	semidirect
30. #525×D₆₇	C₂	semidirect
31. C₆₇×#3540	C₂	semidirect
34. C₂²×Q₈×D₆₇	C₂²	semidirect
35. C₂²×D₄×D₆₇	C₂²	semidirect
36. C₂³×C₄×D₆₇	C₂²	semidirect
37. #16864139	C₂²	semidirect
38. #16864139	C₂²	semidirect
39. #16864139	C₂²	semidirect
40. #16864139	C₂²	semidirect
41. #16864138	C₂²	semidirect
42. #16864138	C₂²	semidirect
43. #16864138	C₂²	semidirect
44. #16864138	C₂²	semidirect
45. #16864138	C₂²	semidirect
46. #16864137	C₂²	semidirect
47. #16864136	C₂²	semidirect
48. #16864136	C₂²	semidirect
49. #16864135	C₂²	semidirect
50. #16864135	C₂²	semidirect
51. #16864134	C₂²	semidirect
52. #16864134	C₂²	semidirect
53. #16864134	C₂²	semidirect
54. #16864133	C₂²	semidirect
55. #16864132	C₂²	semidirect
56. #16864131	C₂²	semidirect
57. #16864130	C₂²	semidirect
58. #16864130	C₂²	semidirect
59. #16864130	C₂²	semidirect
60. #16864129	C₂²	semidirect
61. #16864129	C₂²	semidirect
62. #16864128	C₂²	semidirect
63. #16864128	C₂²	semidirect
64. #16864120	C₂²	semidirect
65. #16864119	C₂²	semidirect
66. #16864118	C₂²	semidirect
67. #16864117	C₂²	semidirect
68. #16864117	C₂²	semidirect
69. #16864116	C₂²	semidirect
70. #16864115	C₂²	semidirect
71. #16864114	C₂²	semidirect
72. #16864114	C₂²	semidirect
73. #16864113	C₂²	semidirect
74. #16864113	C₂²	semidirect
75. #16864112	C₂²	semidirect
76. #16864111	C₂²	semidirect
77. #16864111	C₂²	semidirect
78. #16864110	C₂²	semidirect
79. #16864110	C₂²	semidirect
80. #16864110	C₂²	semidirect
81. #16864109	C₂²	semidirect
82. #16864109	C₂²	semidirect
83. #16864109	C₂²	semidirect
84. #16864108	C₂²	semidirect
85. #16864108	C₂²	semidirect
86. #16864077	C₂²	semidirect
87. #16864076	C₂²	semidirect
88. #16864075	C₂²	semidirect
89. #16864074	C₂²	semidirect
90. #16864073	C₂²	semidirect
91. #16864072	C₂²	semidirect
92. #16864071	C₂²	semidirect
93. #16864070	C₂²	semidirect
94. #16864069	C₂²	semidirect
95. #16864058	C₂²	semidirect
96. #16864057	C₂²	semidirect
97. #16864056	C₂²	semidirect
98. #16864056	C₂²	semidirect
99. #16864055	C₂²	semidirect
100. #16864055	C₂²	semidirect
101. #16864054	C₂²	semidirect
102. #16864054	C₂²	semidirect
103. #16864053	C₂²	semidirect
104. #16864052	C₂²	semidirect
105. #16864052	C₂²	semidirect
106. #16864043	C₂²	semidirect
107. #16864042	C₂²	semidirect
108. #16864041	C₂²	semidirect
109. #16864040	C₂²	semidirect
110. #16864039	C₂²	semidirect
111. #16864038	C₂²	semidirect
112. #16864037	C₂²	semidirect
113. #16864036	C₂²	semidirect
114. #16864035	C₂²	semidirect
115. #16864034	C₂²	semidirect
116. #16864033	C₂²	semidirect
117. #16864020	C₂²	semidirect
118. #16864020	C₂²	semidirect
119. #16864019	C₂²	semidirect
120. #16864019	C₂²	semidirect
121. #16864018	C₂²	semidirect
122. #16864018	C₂²	semidirect
123. #16864017	C₂²	semidirect
124. #16864017	C₂²	semidirect
125. #16864016	C₂²	semidirect
126. #16864016	C₂²	semidirect
127. #16864016	C₂²	semidirect
128. #16864015	C₂²	semidirect
129. #16864015	C₂²	semidirect
130. #16864014	C₂²	semidirect
131. #16864014	C₂²	semidirect
132. #16864014	C₂²	semidirect
133. #16864013	C₂²	semidirect
134. #16864013	C₂²	semidirect
135. #16864012	C₂²	semidirect
136. #16864012	C₂²	semidirect
137. #16864012	C₂²	semidirect
138. #16864011	C₂²	semidirect
139. #16864011	C₂²	semidirect
140. #16864010	C₂²	semidirect
141. #16864010	C₂²	semidirect
142. #16864010	C₂²	semidirect
143. #16863986	C₂²	semidirect
144. #16863985	C₂²	semidirect
145. #16863985	C₂²	semidirect
146. #16863984	C₂²	semidirect
147. #16863983	C₂²	semidirect
148. #16863982	C₂²	semidirect
149. #16863982	C₂²	semidirect
150. #16863981	C₂²	semidirect
151. #16863981	C₂²	semidirect
152. #16863980	C₂²	semidirect
153. #16863980	C₂²	semidirect
154. #16863979	C₂²	semidirect
155. #16863979	C₂²	semidirect
156. #16863978	C₂²	semidirect
157. #16863978	C₂²	semidirect
158. #16863972	C₂²	semidirect
159. #16863971	C₂²	semidirect
160. #16863970	C₂²	semidirect
161. #16863969	C₂²	semidirect
162. #16863969	C₂²	semidirect
163. #16863968	C₂²	semidirect
164. #16863968	C₂²	semidirect
165. #16863967	C₂²	semidirect
166. #16863966	C₂²	semidirect
167. #16863965	C₂²	semidirect
168. #16863964	C₂²	semidirect
169. #16863963	C₂²	semidirect
170. #16863962	C₂²	semidirect
171. #16863962	C₂²	semidirect
172. #16863961	C₂²	semidirect
173. #16863961	C₂²	semidirect
174. #16863960	C₂²	semidirect
175. #16863959	C₂²	semidirect
176. C₄⋊Q₈×D₆₇	C₂²	semidirect
177. C₄⋊Q₈×D₆₇	C₂²	semidirect
179. #126×D₆₇	C₂²	semidirect
180. #126×D₆₇	C₂²	semidirect
181. #126×D₆₇	C₂²	semidirect
184. #124×D₆₇	C₂²	semidirect
185. #124×D₆₇	C₂²	semidirect
186. #124×D₆₇	C₂²	semidirect
187. #124×D₆₇	C₂²	semidirect
188. #124×D₆₇	C₂²	semidirect
189. #124×D₆₇	C₂²	semidirect
190. #16863909	C₂²	semidirect
191. #16863909	C₂²	semidirect
192. #16863909	C₂²	semidirect
193. #16863908	C₂²	semidirect
194. #16863908	C₂²	semidirect
195. #16863907	C₂²	semidirect
196. #16863907	C₂²	semidirect
197. #16863906	C₂²	semidirect
198. #16863906	C₂²	semidirect
199. #16863906	C₂²	semidirect
200. #16863905	C₂²	semidirect
201. #16863905	C₂²	semidirect
202. #16863905	C₂²	semidirect
203. #16863905	C₂²	semidirect
204. #16863904	C₂²	semidirect
205. #16863904	C₂²	semidirect
206. #16863904	C₂²	semidirect
207. #16863903	C₂²	semidirect
208. #16863903	C₂²	semidirect
209. #16863902	C₂²	semidirect
210. #16863902	C₂²	semidirect
211. #16863902	C₂²	semidirect
213. #123×D₆₇	C₂²	semidirect
214. #123×D₆₇	C₂²	semidirect
215. #123×D₆₇	C₂²	semidirect
216. #123×D₆₇	C₂²	semidirect
217. #123×D₆₇	C₂²	semidirect
218. #123×D₆₇	C₂²	semidirect
219. C₂²⋊Q₈×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
224. C₂²⋊Q₈×D₆₇	C₂²	semidirect
229. #121×D₆₇	C₂²	semidirect
230. #121×D₆₇	C₂²	semidirect
231. #121×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
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. #117×D₆₇	C₂²	semidirect
247. #117×D₆₇	C₂²	semidirect
248. #117×D₆₇	C₂²	semidirect
249. #117×D₆₇	C₂²	semidirect
250. #117×D₆₇	C₂²	semidirect
251. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
252. H(3,𝔽₄)×C₆₇	C₂²	semidirect
253. #560×C₆₇	C₂²	semidirect
254. #559×C₆₇	C₂²	semidirect
255. #556×C₆₇	C₂²	semidirect
256. #555×C₆₇	C₂²	semidirect
257. #551×C₆₇	C₂²	semidirect
258. #548×C₆₇	C₂²	semidirect
259. #546×C₆₇	C₂²	semidirect
260. #542×C₆₇	C₂²	semidirect
261. #542×C₆₇	C₂²	semidirect
262. #538×C₆₇	C₂²	semidirect
263. #536×C₆₇	C₂²	semidirect
264. #535×C₆₇	C₂²	semidirect
265. #525×C₆₇	C₂²	semidirect
266. #525×C₆₇	C₂²	semidirect
283. C₂²×Dic₁₃₄	C₂³	semidirect
284. C₂²×Dic₁₃₄	C₂³	semidirect
290. C₂×Q₈×D₆₇	C₂³	semidirect
291. C₂×Q₈×D₆₇	C₂³	semidirect
292. C₂²×D₂₆₈	C₂³	semidirect
293. C₂²×C₂²⋊D₆₇	C₂³	semidirect
306. C₂×D₄×D₆₇	C₂³	semidirect
307. C₂×D₄×D₆₇	C₂³	semidirect
308. C₂³×Dic₆₇	C₂³	semidirect
319. C₂²×C₄×D₆₇	C₂³	semidirect
320. C₂²×C₄×D₆₇	C₂³	semidirect
321. C₂²×C₄×D₆₇	C₂³	semidirect
322. C₂²×C₄×D₆₇	C₂³	semidirect
323. #14524043	C₂³	semidirect
324. #14524043	C₂³	semidirect
325. #14524042	C₂³	semidirect
326. #14524042	C₂³	semidirect
327. #14524042	C₂³	semidirect
328. #14524042	C₂³	semidirect
329. #14524042	C₂³	semidirect
330. #14524041	C₂³	semidirect
331. #14524041	C₂³	semidirect
332. #14524041	C₂³	semidirect
338. #14524038	C₂³	semidirect
339. #14524038	C₂³	semidirect
340. #14524038	C₂³	semidirect
341. #14524038	C₂³	semidirect
342. #14524038	C₂³	semidirect
343. #14524038	C₂³	semidirect
344. #14524038	C₂³	semidirect
345. #14524038	C₂³	semidirect
346. #14524038	C₂³	semidirect
347. #14524037	C₂³	semidirect
348. #14524037	C₂³	semidirect
349. #14524037	C₂³	semidirect
350. #14524036	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. #14524036	C₂³	semidirect
358. #14524036	C₂³	semidirect
361. #14524032	C₂³	semidirect
362. #14524032	C₂³	semidirect
363. #14524032	C₂³	semidirect
364. #14524032	C₂³	semidirect
365. #14524032	C₂³	semidirect
366. #14524032	C₂³	semidirect
369. #14524031	C₂³	semidirect
370. #14524031	C₂³	semidirect
371. #14524031	C₂³	semidirect
372. #14524031	C₂³	semidirect
373. #14524031	C₂³	semidirect
374. #14524031	C₂³	semidirect
377. #14524030	C₂³	semidirect
378. #14524030	C₂³	semidirect
379. #14524030	C₂³	semidirect
380. #14524030	C₂³	semidirect
381. #14524030	C₂³	semidirect
382. #14524030	C₂³	semidirect
389. #14524029	C₂³	semidirect
390. #14524029	C₂³	semidirect
391. #14524029	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
410. #14524028	C₂³	semidirect
411. #14524028	C₂³	semidirect
412. #14524028	C₂³	semidirect
413. #14524028	C₂³	semidirect
414. #14524028	C₂³	semidirect
415. #14524028	C₂³	semidirect
416. #14524028	C₂³	semidirect
417. #14524028	C₂³	semidirect
418. #14524028	C₂³	semidirect
420. #14524027	C₂³	semidirect
421. #14524027	C₂³	semidirect
422. #14524027	C₂³	semidirect
423. #14524027	C₂³	semidirect
424. #14524027	C₂³	semidirect
425. #14524027	C₂³	semidirect
427. #14524026	C₂³	semidirect
428. #14524026	C₂³	semidirect
429. #14524026	C₂³	semidirect
430. #14524026	C₂³	semidirect
431. #14524026	C₂³	semidirect
432. #14524026	C₂³	semidirect
434. #14524025	C₂³	semidirect
435. #14524025	C₂³	semidirect
436. #14524025	C₂³	semidirect
437. #14524025	C₂³	semidirect
438. #14524025	C₂³	semidirect
439. #14524025	C₂³	semidirect
440. #14524025	C₂³	semidirect
441. #14524025	C₂³	semidirect
442. #14524025	C₂³	semidirect
444. #14524024	C₂³	semidirect
445. #14524024	C₂³	semidirect
446. #14524024	C₂³	semidirect
447. #14524024	C₂³	semidirect
448. #14524024	C₂³	semidirect
449. #14524024	C₂³	semidirect
450. #14524023	C₂³	semidirect
451. #14524023	C₂³	semidirect
452. #14524023	C₂³	semidirect
453. #14524023	C₂³	semidirect
454. #14524023	C₂³	semidirect
455. #14524023	C₂³	semidirect
456. #14524022	C₂³	semidirect
457. #14524022	C₂³	semidirect
458. #14524022	C₂³	semidirect
459. #14524022	C₂³	semidirect
460. #14524022	C₂³	semidirect
461. #14524022	C₂³	semidirect
462. #14524021	C₂³	semidirect
463. #14524021	C₂³	semidirect
464. #14524021	C₂³	semidirect
465. #14524021	C₂³	semidirect
466. #14524021	C₂³	semidirect
467. #14524021	C₂³	semidirect
468. #14524021	C₂³	semidirect
469. #14524021	C₂³	semidirect
470. #14524021	C₂³	semidirect
471. #14524020	C₂³	semidirect
472. #14524020	C₂³	semidirect
473. #14524020	C₂³	semidirect
474. #14524020	C₂³	semidirect
475. #14524020	C₂³	semidirect
476. #14524020	C₂³	semidirect
477. #14524020	C₂³	semidirect
478. #14524020	C₂³	semidirect
479. #14524020	C₂³	semidirect
480. #14524019	C₂³	semidirect
481. #14524019	C₂³	semidirect
482. #14524019	C₂³	semidirect
483. #14524019	C₂³	semidirect
484. #14524019	C₂³	semidirect
485. #14524019	C₂³	semidirect
490. #14524018	C₂³	semidirect
491. #14524018	C₂³	semidirect
492. #14524018	C₂³	semidirect
497. #14524017	C₂³	semidirect
498. #14524017	C₂³	semidirect
499. #14524017	C₂³	semidirect
506. #14524016	C₂³	semidirect
507. #14524016	C₂³	semidirect
508. #14524016	C₂³	semidirect
509. #14524016	C₂³	semidirect
510. #14524016	C₂³	semidirect
517. #14524015	C₂³	semidirect
518. #14524015	C₂³	semidirect
519. #14524015	C₂³	semidirect
520. #14524015	C₂³	semidirect
521. #14524015	C₂³	semidirect
526. #14524014	C₂³	semidirect
527. #14524014	C₂³	semidirect
528. #14524014	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
546. #14524012	C₂³	semidirect
547. #14524012	C₂³	semidirect
548. #14524012	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. Q₈×Dic₆₇	C₂³	semidirect
564. Q₈×Dic₆₇	C₂³	semidirect
565. C₄×Dic₁₃₄	C₂³	semidirect
566. C₄×Dic₁₃₄	C₂³	semidirect
567. C₄×Dic₁₃₄	C₂³	semidirect
568. C₄×Dic₁₃₄	C₂³	semidirect
569. C₄×Dic₁₃₄	C₂³	semidirect
570. #14524008	C₂³	semidirect
571. #14524008	C₂³	semidirect
572. #14524008	C₂³	semidirect
573. #14524008	C₂³	semidirect
574. #14524008	C₂³	semidirect
576. C₄×D₂₆₈	C₂³	semidirect
577. C₄×D₂₆₈	C₂³	semidirect
578. C₄×D₂₆₈	C₂³	semidirect
579. C₄×D₂₆₈	C₂³	semidirect
580. C₄×D₂₆₈	C₂³	semidirect
582. D₄×Dic₆₇	C₂³	semidirect
583. D₄×Dic₆₇	C₂³	semidirect
584. D₄×Dic₆₇	C₂³	semidirect
585. D₄×Dic₆₇	C₂³	semidirect
586. D₄×Dic₆₇	C₂³	semidirect
588. #14524005	C₂³	semidirect
589. #14524005	C₂³	semidirect
590. #14524005	C₂³	semidirect
591. #14524005	C₂³	semidirect
592. #14524005	C₂³	semidirect
595. C₄×C₂²⋊D₆₇	C₂³	semidirect
596. C₄×C₂²⋊D₆₇	C₂³	semidirect
597. C₄×C₂²⋊D₆₇	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
606. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
607. (C₂²⋊D₆₇)⋊C₄	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. #14524002	C₂³	semidirect
616. #14524002	C₂³	semidirect
617. #14524002	C₂³	semidirect
618. #14524002	C₂³	semidirect
619. #14524002	C₂³	semidirect
620. #14524001	C₂³	semidirect
621. #14524001	C₂³	semidirect
622. #14524001	C₂³	semidirect
623. #14524001	C₂³	semidirect
624. #14524001	C₂³	semidirect
625. #14524001	C₂³	semidirect
626. #14524001	C₂³	semidirect
627. #14524000	C₂³	semidirect
628. #14524000	C₂³	semidirect
629. #14524000	C₂³	semidirect
630. #14524000	C₂³	semidirect
631. #14524000	C₂³	semidirect
632. #14524000	C₂³	semidirect
633. #14523999	C₂³	semidirect
634. #14523999	C₂³	semidirect
635. #14523999	C₂³	semidirect
636. #14523999	C₂³	semidirect
637. #14523999	C₂³	semidirect
638. #14523999	C₂³	semidirect
639. #14523999	C₂³	semidirect
650. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
651. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
652. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
671. C₂²⋊C₄×D₆₇	C₂³	semidirect
672. C₂²⋊C₄×D₆₇	C₂³	semidirect
673. C₂²⋊C₄×D₆₇	C₂³	semidirect
674. C₂²⋊C₄×D₆₇	C₂³	semidirect
682. C₂²×Q₈×C₆₇	C₂³	semidirect
683. C₂²×D₄×C₆₇	C₂³	semidirect
684. C₂³×C₄×C₆₇	C₂³	semidirect
685. C₄⋊Q₈×C₆₇	C₂³	semidirect
686. C₄⋊Q₈×C₆₇	C₂³	semidirect
688. #126×C₆₇	C₂³	semidirect
689. #126×C₆₇	C₂³	semidirect
690. #126×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
700. #123×C₆₇	C₂³	semidirect
701. #123×C₆₇	C₂³	semidirect
702. #123×C₆₇	C₂³	semidirect
703. #123×C₆₇	C₂³	semidirect
704. #123×C₆₇	C₂³	semidirect
705. #123×C₆₇	C₂³	semidirect
706. C₂²⋊Q₈×C₆₇	C₂³	semidirect
707. C₂²⋊Q₈×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
716. #121×C₆₇	C₂³	semidirect
717. #121×C₆₇	C₂³	semidirect
718. #121×C₆₇	C₂³	semidirect
722. #120×C₆₇	C₂³	semidirect
723. #120×C₆₇	C₂³	semidirect
724. #120×C₆₇	C₂³	semidirect
725. C₄×Q₈×C₆₇	C₂³	semidirect
726. 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. #117×C₆₇	C₂³	semidirect
734. #117×C₆₇	C₂³	semidirect
735. #117×C₆₇	C₂³	semidirect
736. #117×C₆₇	C₂³	semidirect
737. #117×C₆₇	C₂³	semidirect
738. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
1262. D₆₇	#3540	direct (N × H)
1278. #3540	D₆₇	direct (N × H)
1294. C₆₇	C₂×#3540	semidirect
1309. H(3,𝔽₄)	C₂×D₆₇	semidirect
1319. #560	C₂×D₆₇	semidirect
1329. #559	C₂×D₆₇	semidirect
1341. #556	C₂×D₆₇	semidirect
1353. #555	C₂×D₆₇	semidirect
1363. #551	C₂×D₆₇	semidirect
1375. #548	C₂×D₆₇	semidirect
1387. #546	C₂×D₆₇	semidirect
1414. #542	C₂×D₆₇	semidirect
1415. #542	C₂×D₆₇	semidirect
1431. #538	C₂×D₆₇	semidirect
1441. #536	C₂×D₆₇	semidirect
1451. #535	C₂×D₆₇	semidirect
1488. #525	C₂×D₆₇	semidirect
1489. #525	C₂×D₆₇	semidirect
1557. C₂²×Q₈	C₂²×D₆₇	semidirect
1574. C₂²×D₄	C₂²×D₆₇	semidirect
1590. C₂³×C₄	C₂²×D₆₇	semidirect
1601. C₄⋊Q₈	C₂²×D₆₇	semidirect
1602. C₄⋊Q₈	C₂²×D₆₇	semidirect
1630. #126	C₂²×D₆₇	semidirect
1631. #126	C₂²×D₆₇	semidirect
1632. #126	C₂²×D₆₇	semidirect
1685. #124	C₂²×D₆₇	semidirect
1686. #124	C₂²×D₆₇	semidirect
1687. #124	C₂²×D₆₇	semidirect
1688. #124	C₂²×D₆₇	semidirect
1689. #124	C₂²×D₆₇	semidirect
1690. #124	C₂²×D₆₇	semidirect
1733. #123	C₂²×D₆₇	semidirect
1734. #123	C₂²×D₆₇	semidirect
1735. #123	C₂²×D₆₇	semidirect
1736. #123	C₂²×D₆₇	semidirect
1737. #123	C₂²×D₆₇	semidirect
1738. #123	C₂²×D₆₇	semidirect
1775. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1776. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1777. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1778. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1779. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1780. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1828. #121	C₂²×D₆₇	semidirect
1829. #121	C₂²×D₆₇	semidirect
1830. #121	C₂²×D₆₇	semidirect
1868. #120	C₂²×D₆₇	semidirect
1869. #120	C₂²×D₆₇	semidirect
1870. #120	C₂²×D₆₇	semidirect
1883. C₄×Q₈	C₂²×D₆₇	semidirect
1884. C₄×Q₈	C₂²×D₆₇	semidirect
1926. C₄×D₄	C₂²×D₆₇	semidirect
1927. C₄×D₄	C₂²×D₆₇	semidirect
1928. C₄×D₄	C₂²×D₆₇	semidirect
1929. C₄×D₄	C₂²×D₆₇	semidirect
1930. C₄×D₄	C₂²×D₆₇	semidirect
1956. #117	C₂²×D₆₇	semidirect
1957. #117	C₂²×D₆₇	semidirect
1958. #117	C₂²×D₆₇	semidirect
1959. #117	C₂²×D₆₇	semidirect
1960. #117	C₂²×D₆₇	semidirect
1996. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574486	2
#22574485	2
#22574484	2
#22574483	2
#22574482	2
#22574481	2
#22574480	2
#22574479	2
#22574478	2
#22574477	2
#22574476	2
#22574475	2
#22574474	2
#22574473	2
#22574472	2
H(3,𝔽₄)×D₆₇	2
#560×D₆₇	2
#559×D₆₇	2
#556×D₆₇	2
#555×D₆₇	2
#551×D₆₇	2
#548×D₆₇	2
#546×D₆₇	2
#542×D₆₇	2
#538×D₆₇	2
#536×D₆₇	2
#535×D₆₇	2
#525×D₆₇	2
C₆₇×#3540	2
C₂×#3540	67

Subgroups — #3540×D67 #31763116

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3540×D₆₇ #31763116