Subgroups — #3545×D₆₇ #31763578

Order 17152.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2234 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574567	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574566	C₂	1	1	yes	maximal, characteristic, complemented
3	#22574565	C₂	1	4	yes	maximal, complemented
4	#22574564	C₂	1	1	yes	maximal, characteristic, complemented
5	#22574563	C₂	1	2	yes	maximal, complemented
6	#22574562	C₂	1	2	yes	maximal, complemented
7	#22574561	C₂	1	2	yes	maximal, complemented
8	#22574560	C₂	1	4	yes	maximal, complemented
9	#22574559	C₂	1	2	yes	maximal, complemented
10	#22574558	C₂	1	2	yes	maximal, complemented
11	#22574557	C₂	1	4	yes	maximal, complemented
12	#22574556	C₂	1	4	yes	maximal, complemented
13	#22574555	C₂	1	2	yes	maximal, complemented
14	#563×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
15	#562×D₆₇	C₂	1	2	yes	maximal, complemented
16	H(3,𝔽₄)×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
17	#555×D₆₇	C₂	1	2	yes	maximal, complemented
18	#551×D₆₇	C₂	1	2	yes	maximal, complemented
19	#551×D₆₇	C₂	1	4	yes	maximal, complemented
20	#546×D₆₇	C₂	1	4	yes	maximal, complemented
21	#542×D₆₇	C₂	1	4	yes	maximal, complemented
22	#538×D₆₇	C₂	1	4	yes	maximal, complemented
23	#536×D₆₇	C₂	1	2	yes	maximal, complemented
24	#534×D₆₇	C₂	1	2	yes	maximal, complemented
25	#529×D₆₇	C₂	1	2	yes	maximal, complemented
26	C₂×#124×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
27	C₆₇×#3545	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#41×D₆₇	C₂²	1	2	yes	—
29	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
31	C₂²×D₄×D₆₇	C₂²	1	2	yes	complemented
32	#16864150	C₂²	1	2	yes	complemented
33	#16864149	C₂²	1	2	yes	complemented
34	#16864148	C₂²	1	4	yes	complemented
35	#16864147	C₂²	1	4	yes	complemented
36	#16864146	C₂²	1	1	yes	characteristic, complemented
37	#16864145	C₂²	1	2	yes	complemented
38	#16864144	C₂²	1	2	yes	complemented
39	#16864143	C₂²	1	4	yes	complemented
40	#16864143	C₂²	1	4	yes	complemented
41	#16864142	C₂²	1	4	yes	complemented
42	#16864142	C₂²	1	4	yes	complemented
43	#16864141	C₂²	1	4	yes	complemented
44	#16864141	C₂²	1	4	yes	complemented
45	#16864140	C₂²	1	2	yes	complemented
46	#16864140	C₂²	1	2	yes	complemented
47	#16864139	C₂²	1	2	yes	complemented
48	#16864139	C₂²	1	4	yes	complemented
49	#16864138	C₂²	1	1	yes	characteristic, complemented
50	#16864138	C₂²	1	4	yes	complemented
51	#16864138	C₂²	1	2	yes	complemented
52	#16864138	C₂²	1	2	yes	complemented
53	#16864112	C₂²	1	2	yes	complemented
54	#16864111	C₂²	1	4	yes	complemented
55	#16864110	C₂²	1	4	yes	complemented
56	#16864110	C₂²	1	4	yes	complemented
57	#16864109	C₂²	1	4	yes	complemented
58	#16864109	C₂²	1	4	yes	complemented
59	#16864108	C₂²	1	2	yes	complemented
60	#16864108	C₂²	1	4	yes	complemented
61	#16864108	C₂²	1	2	yes	complemented
62	#16864077	C₂²	1	2	yes	complemented
63	#16864077	C₂²	1	4	yes	complemented
64	#16864076	C₂²	1	2	yes	complemented
65	#16864076	C₂²	1	4	yes	complemented
66	#16864075	C₂²	1	4	yes	complemented
67	#16864075	C₂²	1	4	yes	complemented
68	#16864075	C₂²	1	4	yes	complemented
69	#16864074	C₂²	1	2	yes	complemented
70	#16864074	C₂²	1	4	yes	complemented
71	#16864073	C₂²	1	4	yes	complemented
72	#16864073	C₂²	1	4	yes	complemented
73	#16864073	C₂²	1	4	yes	complemented
74	#16864072	C₂²	1	4	yes	complemented
75	#16864072	C₂²	1	4	yes	complemented
76	#16864072	C₂²	1	4	yes	complemented
77	#16864071	C₂²	1	4	yes	complemented
78	#16864071	C₂²	1	4	yes	complemented
79	#16864071	C₂²	1	4	yes	complemented
80	#16864070	C₂²	1	4	yes	complemented
81	#16864070	C₂²	1	4	yes	complemented
82	#16864070	C₂²	1	4	yes	complemented
83	#16864069	C₂²	1	4	yes	complemented
84	#16864069	C₂²	1	4	yes	complemented
85	#16864069	C₂²	1	4	yes	complemented
86	#16864043	C₂²	1	4	yes	complemented
87	#16864042	C₂²	1	4	yes	complemented
88	#16864041	C₂²	1	4	yes	complemented
89	#16864040	C₂²	1	4	yes	complemented
90	#16864039	C₂²	1	4	yes	complemented
91	#16864038	C₂²	1	4	yes	complemented
92	#16864038	C₂²	1	4	yes	complemented
93	#16864037	C₂²	1	4	yes	complemented
94	#16864036	C₂²	1	4	yes	complemented
95	#16864036	C₂²	1	4	yes	complemented
96	#16864035	C₂²	1	4	yes	complemented
97	#16864035	C₂²	1	4	yes	complemented
98	#16864034	C₂²	1	4	yes	complemented
99	#16864033	C₂²	1	4	yes	complemented
100	#16864033	C₂²	1	4	yes	complemented
101	#16864020	C₂²	1	4	yes	complemented
102	#16864019	C₂²	1	4	yes	complemented
103	#16864018	C₂²	1	4	yes	complemented
104	#16864017	C₂²	1	4	yes	complemented
105	#16864016	C₂²	1	4	yes	complemented
106	#16864016	C₂²	1	4	yes	complemented
107	#16864015	C₂²	1	4	yes	complemented
108	#16864014	C₂²	1	4	yes	complemented
109	#16864014	C₂²	1	4	yes	complemented
110	#16864013	C₂²	1	4	yes	complemented
111	#16864012	C₂²	1	4	yes	complemented
112	#16864012	C₂²	1	4	yes	complemented
113	#16864011	C₂²	1	4	yes	complemented
114	#16864010	C₂²	1	4	yes	complemented
115	#16864010	C₂²	1	4	yes	complemented
116	#16863986	C₂²	1	4	yes	complemented
117	#16863985	C₂²	1	4	yes	complemented
118	#16863985	C₂²	1	4	yes	complemented
119	#16863984	C₂²	1	4	yes	complemented
120	#16863983	C₂²	1	4	yes	complemented
121	#16863982	C₂²	1	4	yes	complemented
122	#16863982	C₂²	1	4	yes	complemented
123	#16863981	C₂²	1	4	yes	complemented
124	#16863981	C₂²	1	4	yes	complemented
125	#16863980	C₂²	1	4	yes	complemented
126	#16863980	C₂²	1	4	yes	complemented
127	#16863979	C₂²	1	4	yes	complemented
128	#16863979	C₂²	1	4	yes	complemented
129	#16863978	C₂²	1	4	yes	complemented
130	#16863978	C₂²	1	4	yes	complemented
131	#16863972	C₂²	1	2	yes	complemented
132	#16863971	C₂²	1	2	yes	complemented
133	#16863971	C₂²	1	2	yes	complemented
134	#16863970	C₂²	1	2	yes	complemented
135	#16863969	C₂²	1	4	yes	complemented
136	#16863969	C₂²	1	4	yes	complemented
137	#16863968	C₂²	1	4	yes	complemented
138	#16863968	C₂²	1	4	yes	complemented
139	#16863967	C₂²	1	2	yes	complemented
140	#16863966	C₂²	1	2	yes	complemented
141	#16863966	C₂²	1	2	yes	complemented
142	#16863958	C₂²	1	2	yes	complemented
143	#16863957	C₂²	1	2	yes	complemented
144	#16863957	C₂²	1	4	yes	complemented
145	#16863957	C₂²	1	2	yes	complemented
146	#16863956	C₂²	1	2	yes	complemented
147	#16863956	C₂²	1	4	yes	complemented
148	#16863956	C₂²	1	2	yes	complemented
149	#16863955	C₂²	1	2	yes	complemented
150	#16863955	C₂²	1	2	yes	complemented
151	#16863954	C₂²	1	4	yes	complemented
152	#16863954	C₂²	1	4	yes	complemented
153	C₄⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
154	C₄⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
155	#16863933	C₂²	1	2	yes	complemented
156	#16863932	C₂²	1	2	yes	complemented
157	#16863931	C₂²	1	2	yes	complemented
158	#16863930	C₂²	1	2	yes	complemented
159	#16863929	C₂²	1	4	yes	complemented
160	#16863928	C₂²	1	2	yes	complemented
161	#16863927	C₂²	1	2	yes	complemented
162	#16863926	C₂²	1	4	yes	complemented
163	#16863925	C₂²	1	2	yes	complemented
164	#16863924	C₂²	1	4	yes	complemented
165	#16863923	C₂²	1	4	yes	complemented
166	#126×D₆₇	C₂²	1	4	yes	complemented
167	#126×D₆₇	C₂²	1	4	yes	complemented
168	#126×D₆₇	C₂²	1	4	yes	complemented
169	#125×D₆₇	C₂²	1	2	yes	complemented
170	C₂×#14524032	C₂²	1	1	yes	characteristic, complemented
171	C₂×#14524031	C₂²	1	1	yes	characteristic, complemented
172	C₂×#14524030	C₂²	1	1	yes	characteristic, complemented
173	C₂×#14524029	C₂²	1	4	yes	complemented
174	#124×D₆₇	C₂²	1	1	yes	characteristic
175	#124×D₆₇	C₂²	1	1	yes	characteristic
176	#124×D₆₇	C₂²	1	1	yes	characteristic, complemented
177	#124×D₆₇	C₂²	1	1	yes	characteristic, complemented
178	#124×D₆₇	C₂²	1	4	yes	complemented
179	#124×D₆₇	C₂²	1	4	yes	complemented
180	#124×D₆₇	C₂²	1	4	yes	complemented
181	#124×D₆₇	C₂²	1	1	yes	characteristic, complemented
182	#124×D₆₇	C₂²	1	1	yes	characteristic, complemented
183	#124×D₆₇	C₂²	1	2	yes	complemented
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	1	yes	characteristic, complemented
188	#124×D₆₇	C₂²	1	1	yes	characteristic, complemented
189	#123×D₆₇	C₂²	1	2	yes	—
190	#123×D₆₇	C₂²	1	2	yes	complemented
191	#123×D₆₇	C₂²	1	4	yes	complemented
192	#123×D₆₇	C₂²	1	4	yes	complemented
193	#123×D₆₇	C₂²	1	4	yes	complemented
194	#123×D₆₇	C₂²	1	4	yes	complemented
195	#123×D₆₇	C₂²	1	4	yes	complemented
196	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
197	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
198	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
199	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
200	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
201	#121×D₆₇	C₂²	1	4	yes	—
202	#121×D₆₇	C₂²	1	2	yes	—
203	#121×D₆₇	C₂²	1	4	yes	complemented
204	#121×D₆₇	C₂²	1	4	yes	complemented
205	#121×D₆₇	C₂²	1	4	yes	complemented
206	#120×D₆₇	C₂²	1	4	yes	—
207	#120×D₆₇	C₂²	1	2	yes	—
208	#120×D₆₇	C₂²	1	4	yes	complemented
209	#120×D₆₇	C₂²	1	2	yes	complemented
210	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
211	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
212	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
213	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
214	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
215	#117×D₆₇	C₂²	1	4	yes	complemented
216	#117×D₆₇	C₂²	1	2	yes	complemented
217	#117×D₆₇	C₂²	1	4	yes	complemented
218	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	complemented
219	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	complemented
220	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
221	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
222	#563×C₆₇	C₂²	1	1	yes	characteristic, complemented
223	#562×C₆₇	C₂²	1	2	yes	complemented
224	H(3,𝔽₄)×C₆₇	C₂²	1	1	yes	characteristic, complemented
225	#555×C₆₇	C₂²	1	2	yes	complemented
226	#551×C₆₇	C₂²	1	2	yes	complemented
227	#551×C₆₇	C₂²	1	4	yes	complemented
228	#546×C₆₇	C₂²	1	4	yes	complemented
229	#542×C₆₇	C₂²	1	4	yes	complemented
230	#538×C₆₇	C₂²	1	4	yes	complemented
231	#536×C₆₇	C₂²	1	2	yes	complemented
232	#534×C₆₇	C₂²	1	2	yes	complemented
233	#529×C₆₇	C₂²	1	2	yes	complemented
234	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic, complemented
235	C₂⁴×D₆₇	C₂³	1	2	yes	—
236	C₂⁴×D₆₇	C₂³	1	2	yes	—
237	C₂×#11761629	C₂³	1	2	yes	—
238	C₂×#11761628	C₂³	1	2	yes	—
239	C₂×#11761628	C₂³	1	4	yes	—
240	C₂×#11761627	C₂³	1	2	yes	—
241	C₂×#11761627	C₂³	1	4	yes	—
242	#41×D₆₇	—	4	8	no	—
243	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
244	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
245	C₂×Q₈×D₆₇	—	4	4	no	—
246	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
247	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
248	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
249	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
250	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
251	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic, complemented
252	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
253	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic, complemented
254	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
255	C₂²×D₂₆₈	C₂³	1	2	yes	complemented
256	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
257	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
258	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
259	C₂×D₄×D₆₇	—	4	4	no	—
260	C₂×D₄×D₆₇	—	4	8	no	—
261	C₂×D₄×D₆₇	C₂³	1	4	yes	—
262	C₂×D₄×D₆₇	C₂³	1	4	yes	—
263	C₂×D₄×D₆₇	C₂³	1	4	yes	—
264	C₂×D₄×D₆₇	C₂³	1	2	yes	—
265	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
266	C₂×D₄×D₆₇	C₂³	1	2	yes	—
267	C₂×D₄×D₆₇	C₂³	1	2	yes	—
268	C₂×D₄×D₆₇	C₂³	1	4	yes	—
269	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
270	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
271	C₂×D₄×D₆₇	C₂³	1	2	yes	—
272	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
273	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
274	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
275	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
276	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
277	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
278	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
279	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
280	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
281	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
282	#14524043	C₂³	1	2	yes	complemented
283	#14524043	C₂³	1	2	yes	complemented
284	#14524042	C₂³	1	4	yes	complemented
285	#14524042	C₂³	1	4	yes	complemented
286	#14524042	C₂³	1	4	yes	complemented
287	#14524042	C₂³	1	4	yes	complemented
288	#14524041	C₂³	1	2	yes	complemented
289	#14524041	C₂³	1	2	yes	complemented
290	#14524041	C₂³	1	2	yes	complemented
291	#14524041	C₂³	1	2	yes	complemented
292	#14524038	C₂³	1	4	yes	complemented
293	#14524038	C₂³	1	4	yes	complemented
294	#14524038	C₂³	1	4	yes	complemented
295	#14524038	C₂³	1	4	yes	complemented
296	#14524038	C₂³	1	4	yes	complemented
297	#14524038	C₂³	1	4	yes	complemented
298	#14524038	C₂³	1	4	yes	complemented
299	#14524038	C₂³	1	4	yes	complemented
300	#14524038	C₂³	1	4	yes	complemented
301	#14524037	C₂³	1	4	yes	complemented
302	#14524037	C₂³	1	4	yes	complemented
303	#14524037	C₂³	1	4	yes	complemented
304	#14524036	C₂³	1	4	yes	complemented
305	#14524036	C₂³	1	4	yes	complemented
306	#14524036	C₂³	1	4	yes	complemented
307	#14524036	C₂³	1	4	yes	complemented
308	#14524036	C₂³	1	4	yes	complemented
309	#14524036	C₂³	1	4	yes	complemented
310	#14524036	C₂³	1	4	yes	complemented
311	#14524036	C₂³	1	4	yes	complemented
312	#14524036	C₂³	1	4	yes	complemented
313	#14524035	C₂³	1	2	yes	complemented
314	#14524034	C₂³	1	2	yes	complemented
315	#14524034	C₂³	1	2	yes	complemented
316	#14524033	C₂³	1	4	yes	complemented
317	#14524033	C₂³	1	4	yes	complemented
318	#14524032	C₂³	1	1	yes	characteristic
319	#14524032	C₂³	1	1	yes	characteristic
320	#14524032	C₂³	1	4	yes	complemented
321	#14524032	C₂³	1	4	yes	complemented
322	#14524032	C₂³	1	4	yes	complemented
323	#14524032	C₂³	1	1	yes	characteristic, complemented
324	#14524032	C₂³	1	2	yes	complemented
325	#14524032	C₂³	1	2	yes	complemented
326	#14524032	C₂³	1	1	yes	characteristic, complemented
327	#14524032	C₂³	1	2	yes	complemented
328	#14524031	C₂³	1	1	yes	characteristic
329	#14524031	C₂³	1	1	yes	characteristic
330	#14524031	C₂³	1	4	yes	complemented
331	#14524031	C₂³	1	4	yes	complemented
332	#14524031	C₂³	1	4	yes	complemented
333	#14524031	C₂³	1	1	yes	characteristic, complemented
334	#14524031	C₂³	1	2	yes	complemented
335	#14524031	C₂³	1	2	yes	complemented
336	#14524031	C₂³	1	1	yes	characteristic, complemented
337	#14524031	C₂³	1	2	yes	complemented
338	#14524030	C₂³	1	1	yes	characteristic
339	#14524030	C₂³	1	1	yes	characteristic
340	#14524030	C₂³	1	4	yes	complemented
341	#14524030	C₂³	1	4	yes	complemented
342	#14524030	C₂³	1	4	yes	complemented
343	#14524030	C₂³	1	1	yes	characteristic, complemented
344	#14524030	C₂³	1	2	yes	complemented
345	#14524030	C₂³	1	2	yes	complemented
346	#14524030	C₂³	1	1	yes	characteristic, complemented
347	#14524030	C₂³	1	2	yes	complemented
348	#14524029	C₂³	1	4	yes	—
349	#14524029	C₂³	1	4	yes	—
350	#14524029	C₂³	1	4	yes	complemented
351	#14524029	C₂³	1	4	yes	complemented
352	#14524029	C₂³	1	4	yes	complemented
353	#14524029	C₂³	1	4	yes	complemented
354	#14524029	C₂³	1	4	yes	complemented
355	#14524029	C₂³	1	4	yes	complemented
356	#14524029	C₂³	1	4	yes	complemented
357	#14524029	C₂³	1	4	yes	complemented
358	#14524029	C₂³	1	4	yes	complemented
359	#14524029	C₂³	1	4	yes	complemented
360	#14524029	C₂³	1	4	yes	complemented
361	#14524029	C₂³	1	4	yes	complemented
362	#14524029	C₂³	1	4	yes	complemented
363	#14524029	C₂³	1	4	yes	complemented
364	#14524029	C₂³	1	4	yes	complemented
365	#14524029	C₂³	1	4	yes	complemented
366	#14524029	C₂³	1	4	yes	complemented
367	#14524029	C₂³	1	4	yes	complemented
368	#14524029	C₂³	1	4	yes	complemented
369	#14524029	C₂³	1	4	yes	complemented
370	#14524028	C₂³	1	4	yes	—
371	#14524028	C₂³	1	4	yes	complemented
372	#14524028	C₂³	1	4	yes	complemented
373	#14524028	C₂³	1	4	yes	complemented
374	#14524028	C₂³	1	4	yes	complemented
375	#14524028	C₂³	1	4	yes	complemented
376	#14524028	C₂³	1	4	yes	complemented
377	#14524028	C₂³	1	4	yes	complemented
378	#14524028	C₂³	1	4	yes	complemented
379	#14524028	C₂³	1	4	yes	complemented
380	#14524028	C₂³	1	4	yes	complemented
381	#14524028	C₂³	1	4	yes	complemented
382	#14524027	C₂³	1	2	yes	—
383	#14524027	C₂³	1	2	yes	complemented
384	#14524027	C₂³	1	4	yes	complemented
385	#14524027	C₂³	1	4	yes	complemented
386	#14524027	C₂³	1	4	yes	complemented
387	#14524027	C₂³	1	4	yes	complemented
388	#14524027	C₂³	1	4	yes	complemented
389	#14524026	C₂³	1	2	yes	—
390	#14524026	C₂³	1	2	yes	complemented
391	#14524026	C₂³	1	4	yes	complemented
392	#14524026	C₂³	1	4	yes	complemented
393	#14524026	C₂³	1	4	yes	complemented
394	#14524026	C₂³	1	4	yes	complemented
395	#14524026	C₂³	1	4	yes	complemented
396	#14524025	C₂³	1	4	yes	—
397	#14524025	C₂³	1	4	yes	complemented
398	#14524025	C₂³	1	4	yes	complemented
399	#14524025	C₂³	1	4	yes	complemented
400	#14524025	C₂³	1	4	yes	complemented
401	#14524025	C₂³	1	4	yes	complemented
402	#14524025	C₂³	1	4	yes	complemented
403	#14524025	C₂³	1	4	yes	complemented
404	#14524025	C₂³	1	4	yes	complemented
405	#14524025	C₂³	1	4	yes	complemented
406	#14524025	C₂³	1	4	yes	complemented
407	#14524025	C₂³	1	4	yes	complemented
408	#14524024	C₂³	1	2	yes	—
409	#14524024	C₂³	1	2	yes	complemented
410	#14524024	C₂³	1	4	yes	complemented
411	#14524024	C₂³	1	4	yes	complemented
412	#14524024	C₂³	1	4	yes	complemented
413	#14524024	C₂³	1	4	yes	complemented
414	#14524024	C₂³	1	4	yes	complemented
415	#14524023	C₂³	1	4	yes	complemented
416	#14524023	C₂³	1	4	yes	complemented
417	#14524023	C₂³	1	4	yes	complemented
418	#14524023	C₂³	1	2	yes	complemented
419	#14524023	C₂³	1	4	yes	complemented
420	#14524022	C₂³	1	4	yes	complemented
421	#14524022	C₂³	1	4	yes	complemented
422	#14524022	C₂³	1	4	yes	complemented
423	#14524022	C₂³	1	2	yes	complemented
424	#14524022	C₂³	1	4	yes	complemented
425	#14524021	C₂³	1	4	yes	complemented
426	#14524021	C₂³	1	4	yes	complemented
427	#14524021	C₂³	1	4	yes	complemented
428	#14524021	C₂³	1	4	yes	complemented
429	#14524021	C₂³	1	4	yes	complemented
430	#14524021	C₂³	1	4	yes	complemented
431	#14524021	C₂³	1	4	yes	complemented
432	#14524021	C₂³	1	4	yes	complemented
433	#14524021	C₂³	1	4	yes	complemented
434	#14524020	C₂³	1	4	yes	complemented
435	#14524020	C₂³	1	4	yes	complemented
436	#14524020	C₂³	1	4	yes	complemented
437	#14524020	C₂³	1	4	yes	complemented
438	#14524020	C₂³	1	4	yes	complemented
439	#14524020	C₂³	1	4	yes	complemented
440	#14524020	C₂³	1	4	yes	complemented
441	#14524020	C₂³	1	4	yes	complemented
442	#14524020	C₂³	1	4	yes	complemented
443	#14524019	C₂³	1	4	yes	complemented
444	#14524019	C₂³	1	4	yes	complemented
445	#14524019	C₂³	1	4	yes	complemented
446	#14524019	C₂³	1	2	yes	complemented
447	#14524019	C₂³	1	4	yes	complemented
448	#14524018	C₂³	1	4	yes	—
449	#14524018	C₂³	1	2	yes	—
450	#14524018	C₂³	1	4	yes	complemented
451	#14524018	C₂³	1	4	yes	complemented
452	#14524018	C₂³	1	4	yes	complemented
453	#14524017	C₂³	1	4	yes	—
454	#14524017	C₂³	1	2	yes	—
455	#14524017	C₂³	1	4	yes	complemented
456	#14524017	C₂³	1	4	yes	complemented
457	#14524017	C₂³	1	4	yes	complemented
458	#14524016	C₂³	1	4	yes	—
459	#14524016	C₂³	1	4	yes	—
460	#14524016	C₂³	1	4	yes	—
461	#14524016	C₂³	1	4	yes	complemented
462	#14524016	C₂³	1	4	yes	complemented
463	#14524016	C₂³	1	4	yes	complemented
464	#14524016	C₂³	1	4	yes	complemented
465	#14524016	C₂³	1	4	yes	complemented
466	#14524016	C₂³	1	4	yes	complemented
467	#14524015	C₂³	1	4	yes	—
468	#14524015	C₂³	1	4	yes	—
469	#14524015	C₂³	1	4	yes	—
470	#14524015	C₂³	1	4	yes	complemented
471	#14524015	C₂³	1	4	yes	complemented
472	#14524015	C₂³	1	4	yes	complemented
473	#14524015	C₂³	1	4	yes	complemented
474	#14524015	C₂³	1	4	yes	complemented
475	#14524015	C₂³	1	4	yes	complemented
476	#14524014	C₂³	1	4	yes	—
477	#14524014	C₂³	1	2	yes	—
478	#14524014	C₂³	1	4	yes	complemented
479	#14524014	C₂³	1	4	yes	complemented
480	#14524014	C₂³	1	4	yes	complemented
481	#14524013	C₂³	1	4	yes	—
482	#14524013	C₂³	1	4	yes	—
483	#14524013	C₂³	1	4	yes	—
484	#14524013	C₂³	1	4	yes	—
485	#14524013	C₂³	1	2	yes	—
486	#14524013	C₂³	1	4	yes	complemented
487	#14524013	C₂³	1	4	yes	complemented
488	#14524013	C₂³	1	4	yes	complemented
489	#14524013	C₂³	1	4	yes	complemented
490	#14524013	C₂³	1	2	yes	complemented
491	#14524012	C₂³	1	4	yes	—
492	#14524012	C₂³	1	2	yes	—
493	#14524012	C₂³	1	4	yes	complemented
494	#14524012	C₂³	1	2	yes	complemented
495	#14524011	C₂³	1	4	yes	—
496	#14524011	C₂³	1	4	yes	—
497	#14524011	C₂³	1	4	yes	—
498	#14524011	C₂³	1	4	yes	—
499	#14524011	C₂³	1	2	yes	—
500	#14524011	C₂³	1	4	yes	complemented
501	#14524011	C₂³	1	4	yes	complemented
502	#14524011	C₂³	1	4	yes	complemented
503	#14524011	C₂³	1	4	yes	complemented
504	#14524011	C₂³	1	2	yes	complemented
505	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
506	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
507	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
508	#14524008	C₂³	1	4	yes	complemented
509	#14524008	C₂³	1	2	yes	complemented
510	C₄×D₂₆₈	C₂³	1	4	yes	complemented
511	C₄×D₂₆₈	C₂³	1	4	yes	complemented
512	C₄×D₂₆₈	C₂³	1	4	yes	complemented
513	C₄×D₂₆₈	C₂³	1	2	yes	complemented
514	D₄×Dic₆₇	C₂³	1	4	yes	complemented
515	D₄×Dic₆₇	C₂³	1	4	yes	complemented
516	D₄×Dic₆₇	C₂³	1	4	yes	complemented
517	D₄×Dic₆₇	C₂³	1	2	yes	complemented
518	#14524005	C₂³	1	4	yes	complemented
519	#14524005	C₂³	1	4	yes	complemented
520	#14524005	C₂³	1	4	yes	complemented
521	#14524005	C₂³	1	2	yes	complemented
522	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
523	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
524	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
525	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
526	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
527	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
528	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
529	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
530	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
531	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
532	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
533	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
534	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
535	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
536	#14524002	C₂³	1	4	yes	complemented
537	#14524002	C₂³	1	2	yes	complemented
538	#14524002	C₂³	1	4	yes	complemented
539	#14524001	C₂³	1	4	yes	complemented
540	#14524001	C₂³	1	4	yes	complemented
541	#14524001	C₂³	1	4	yes	complemented
542	#14524001	C₂³	1	4	yes	complemented
543	#14524001	C₂³	1	4	yes	complemented
544	#14524000	C₂³	1	4	yes	complemented
545	#14524000	C₂³	1	4	yes	complemented
546	#14524000	C₂³	1	2	yes	complemented
547	#14524000	C₂³	1	4	yes	complemented
548	#14524000	C₂³	1	2	yes	complemented
549	#14524000	C₂³	1	4	yes	complemented
550	#14523999	C₂³	1	4	yes	complemented
551	#14523999	C₂³	1	4	yes	complemented
552	#14523999	C₂³	1	4	yes	complemented
553	#14523999	C₂³	1	4	yes	complemented
554	#14523999	C₂³	1	4	yes	complemented
555	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
556	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
557	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
558	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
559	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
560	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
561	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
562	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
563	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
564	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
565	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
566	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
567	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
568	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
569	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
570	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
571	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
572	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
573	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
574	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
575	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
576	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
577	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
578	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
579	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
580	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
581	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
582	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
583	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
584	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
585	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
586	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
587	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
588	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
589	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
590	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
591	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
592	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
593	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
594	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
595	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
596	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	complemented
597	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	complemented
598	C₂×C₄×Dic₆₇	C₂³	1	2	yes	complemented
599	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
600	C₄²×D₆₇	C₂³	1	1	yes	characteristic
601	C₄²×D₆₇	C₂³	1	2	yes	—
602	C₄²×D₆₇	C₂³	1	1	yes	characteristic
603	C₄²×D₆₇	C₂³	1	2	yes	—
604	C₄²×D₆₇	C₂³	1	4	yes	—
605	C₄²×D₆₇	C₂³	1	2	yes	—
606	C₄²×D₆₇	C₂³	1	1	yes	characteristic, complemented
607	C₄²×D₆₇	C₂³	1	1	yes	characteristic, complemented
608	C₄²×D₆₇	C₂³	1	2	yes	complemented
609	C₂×#41×C₆₇	C₂³	1	2	yes	—
610	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
611	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
612	C₂²×D₄×C₆₇	C₂³	1	2	yes	complemented
613	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
614	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
615	#126×C₆₇	C₂³	1	4	yes	complemented
616	#126×C₆₇	C₂³	1	4	yes	complemented
617	#126×C₆₇	C₂³	1	4	yes	complemented
618	#125×C₆₇	C₂³	1	2	yes	complemented
619	#124×C₆₇	C₂³	1	1	yes	characteristic
620	#124×C₆₇	C₂³	1	1	yes	characteristic
621	#124×C₆₇	C₂³	1	4	yes	complemented
622	#124×C₆₇	C₂³	1	4	yes	complemented
623	#124×C₆₇	C₂³	1	4	yes	complemented
624	#124×C₆₇	C₂³	1	1	yes	characteristic, complemented
625	#124×C₆₇	C₂³	1	1	yes	characteristic, complemented
626	#124×C₆₇	C₂³	1	2	yes	complemented
627	#124×C₆₇	C₂³	1	2	yes	complemented
628	#124×C₆₇	C₂³	1	2	yes	complemented
629	#123×C₆₇	C₂³	1	2	yes	—
630	#123×C₆₇	C₂³	1	2	yes	complemented
631	#123×C₆₇	C₂³	1	4	yes	complemented
632	#123×C₆₇	C₂³	1	4	yes	complemented
633	#123×C₆₇	C₂³	1	4	yes	complemented
634	#123×C₆₇	C₂³	1	4	yes	complemented
635	#123×C₆₇	C₂³	1	4	yes	complemented
636	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
637	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
638	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
639	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
640	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
641	#121×C₆₇	C₂³	1	4	yes	—
642	#121×C₆₇	C₂³	1	2	yes	—
643	#121×C₆₇	C₂³	1	4	yes	complemented
644	#121×C₆₇	C₂³	1	4	yes	complemented
645	#121×C₆₇	C₂³	1	4	yes	complemented
646	#120×C₆₇	C₂³	1	4	yes	—
647	#120×C₆₇	C₂³	1	2	yes	—
648	#120×C₆₇	C₂³	1	4	yes	complemented
649	#120×C₆₇	C₂³	1	2	yes	complemented
650	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
651	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
652	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
653	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
654	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
655	#117×C₆₇	C₂³	1	4	yes	complemented
656	#117×C₆₇	C₂³	1	2	yes	complemented
657	#117×C₆₇	C₂³	1	4	yes	complemented
658	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
659	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	complemented
660	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	complemented
661	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic, complemented
662	C₂³×D₆₇	—	2	8	no	—
663	C₂³×D₆₇	—	4	4	no	—
664	C₂³×D₆₇	—	4	8	no	—
665	C₂³×D₆₇	—	4	8	no	—
666	C₂³×D₆₇	C₂⁴	1	2	yes	—
667	C₂³×D₆₇	C₂⁴	1	4	yes	—
668	C₂³×D₆₇	C₂⁴	1	2	yes	—
669	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
670	C₂³×D₆₇	C₂⁴	1	2	yes	—
671	C₂³×D₆₇	C₂⁴	1	2	yes	—
672	C₂³×D₆₇	C₂⁴	1	2	yes	—
673	C₂³×D₆₇	C₂⁴	1	2	yes	—
674	C₂³×D₆₇	C₂⁴	1	4	yes	—
675	#11761629	—	4	4	no	—
676	#11761628	—	4	8	no	—
677	#11761628	—	4	4	no	—
678	#11761627	—	4	4	no	—
679	#11761627	—	4	8	no	—
680	C₂×Dic₁₃₄	—	4	4	no	—
681	C₂×Dic₁₃₄	—	4	2	no	—
682	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
683	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
684	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
685	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
686	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
687	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
688	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
689	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
690	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
691	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
692	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
693	Q₈×D₆₇	—	4	2	no	—
694	Q₈×D₆₇	—	4	4	no	—
695	Q₈×D₆₇	—	4	2	no	—
696	Q₈×D₆₇	—	4	2	no	—
697	Q₈×D₆₇	—	4	4	no	—
698	Q₈×D₆₇	—	4	2	no	—
699	Q₈×D₆₇	—	4	4	no	—
700	Q₈×D₆₇	—	4	4	no	—
701	C₂×D₂₆₈	—	4	4	no	—
702	C₂×D₂₆₈	—	4	2	no	—
703	C₂×D₂₆₈	C₂⁴	1	4	yes	—
704	C₂×D₂₆₈	C₂⁴	1	4	yes	—
705	C₂×D₂₆₈	C₂⁴	1	4	yes	—
706	C₂×D₂₆₈	C₂⁴	1	2	yes	—
707	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
708	C₂×D₂₆₈	C₂⁴	1	2	yes	—
709	C₂×D₂₆₈	C₂⁴	1	2	yes	—
710	C₂×D₂₆₈	C₂⁴	1	4	yes	—
711	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
712	C₂×C₂²⋊D₆₇	—	4	4	no	—
713	C₂×C₂²⋊D₆₇	—	4	4	no	—
714	C₂×C₂²⋊D₆₇	—	4	4	no	—
715	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
716	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
717	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
718	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
719	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
720	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
721	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
722	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
723	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
724	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
725	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
726	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
727	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
728	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
729	D₄×D₆₇	—	2	16	no	—
730	D₄×D₆₇	—	4	2	no	—
731	D₄×D₆₇	—	4	4	no	—
732	D₄×D₆₇	—	4	2	no	—
733	D₄×D₆₇	—	4	2	no	—
734	D₄×D₆₇	—	4	4	no	—
735	D₄×D₆₇	—	4	2	no	—
736	D₄×D₆₇	—	4	8	no	—
737	D₄×D₆₇	—	4	8	no	—
738	D₄×D₆₇	—	4	8	no	—
739	D₄×D₆₇	—	4	4	no	—
740	D₄×D₆₇	—	4	4	no	—
741	D₄×D₆₇	—	4	8	no	—
742	D₄×D₆₇	—	4	8	no	—
743	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
744	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
745	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
746	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
747	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
748	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
749	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
750	C₂×C₄×D₆₇	—	2	4	no	—
751	C₂×C₄×D₆₇	—	2	8	no	—
752	C₂×C₄×D₆₇	—	4	8	no	—
753	C₂×C₄×D₆₇	—	4	4	no	—
754	C₂×C₄×D₆₇	—	4	8	no	—
755	C₂×C₄×D₆₇	—	4	4	no	—
756	C₂×C₄×D₆₇	—	4	8	no	—
757	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
758	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
759	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
760	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
761	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
762	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
763	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
764	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
765	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
766	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
767	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
768	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
769	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
770	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
771	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
772	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
773	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
774	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
775	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
776	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
777	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
778	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
779	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
780	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
781	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
782	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
783	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
784	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
785	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
786	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
787	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
788	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
789	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
790	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
791	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
792	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
793	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
794	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
795	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
796	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
797	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
798	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
799	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
800	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
801	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
802	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
803	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
804	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
805	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
806	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
807	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
808	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
809	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
810	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
811	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
812	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
813	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
814	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
815	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
816	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
817	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
818	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
819	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
820	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
821	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
822	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
823	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
824	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
825	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
826	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
827	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
828	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
829	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
830	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
831	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
832	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
833	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
834	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
835	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
836	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
837	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
838	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
839	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
840	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
841	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
842	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
843	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
844	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
845	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
846	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
847	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
848	C₄×Dic₆₇	C₂⁴	1	2	yes	—
849	C₄×Dic₆₇	C₂⁴	1	2	yes	—
850	C₄×Dic₆₇	C₂⁴	1	2	yes	—
851	C₄×Dic₆₇	C₂⁴	1	2	yes	—
852	C₄×Dic₆₇	C₂⁴	1	2	yes	—
853	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
854	C₄×Dic₆₇	C₂⁴	1	2	yes	—
855	C₄×Dic₆₇	C₂⁴	1	4	yes	—
856	C₄×Dic₆₇	C₂⁴	1	4	yes	—
857	C₄×Dic₆₇	C₂⁴	1	4	yes	—
858	C₄×Dic₆₇	C₂⁴	1	4	yes	—
859	C₄×Dic₆₇	C₂⁴	1	4	yes	—
860	C₄×Dic₆₇	C₂⁴	1	2	yes	—
861	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
862	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
863	#41×C₆₇	—	4	4	no	—
864	C₂×Q₈×C₆₇	—	4	2	no	—
865	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
866	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
867	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
868	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
869	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
870	C₂×D₄×C₆₇	—	4	2	no	—
871	C₂×D₄×C₆₇	—	4	4	no	—
872	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
873	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
874	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
875	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
876	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
877	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
878	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
879	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
880	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
881	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
882	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
883	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
884	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
885	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
886	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
887	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
888	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
889	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
890	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
891	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
892	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
893	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
894	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
895	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
896	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
897	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
898	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
899	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
900	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
901	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
902	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
903	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
904	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
905	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
906	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
907	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
908	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
909	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
910	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
911	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
912	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
913	C₄²×C₆₇	C₂⁴	1	2	yes	—
914	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
915	C₄²×C₆₇	C₂⁴	1	2	yes	—
916	C₄²×C₆₇	C₂⁴	1	4	yes	—
917	C₄²×C₆₇	C₂⁴	1	2	yes	—
918	C₂³×C₆₇	—	2	4	no	—
919	C₂³×C₆₇	—	4	2	no	—
920	C₂³×C₆₇	—	4	4	no	—
921	C₂³×C₆₇	—	4	4	no	—
922	C₂³×C₆₇	C₂⁵	1	2	yes	—
923	C₂³×C₆₇	C₂⁵	1	4	yes	—
924	C₂³×C₆₇	C₂⁵	1	2	yes	—
925	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
926	C₂²×D₆₇	—	2	4	no	—
927	C₂²×D₆₇	—	2	4	no	—
928	C₂²×D₆₇	—	2	8	no	—
929	C₂²×D₆₇	—	2	4	no	—
930	C₂²×D₆₇	—	2	4	no	—
931	C₂²×D₆₇	—	2	8	no	—
932	C₂²×D₆₇	—	2	8	no	—
933	C₂²×D₆₇	—	2	8	no	—
934	C₂²×D₆₇	—	2	8	no	—
935	C₂²×D₆₇	—	2	4	no	—
936	C₂²×D₆₇	—	2	4	no	—
937	C₂²×D₆₇	—	4	4	no	—
938	C₂²×D₆₇	—	4	2	no	—
939	C₂²×D₆₇	—	4	4	no	—
940	C₂²×D₆₇	—	4	4	no	—
941	C₂²×D₆₇	—	4	4	no	—
942	C₂²×D₆₇	—	4	4	no	—
943	C₂²×D₆₇	—	4	4	no	—
944	C₂²×D₆₇	—	4	4	no	—
945	C₂²×D₆₇	—	8	16	no	—
946	C₂²×D₆₇	—	8	16	no	—
947	C₂²×D₆₇	H(5,𝔽₂)	1	4	yes	—
948	C₂²×D₆₇	C₂⁵	1	2	yes	—
949	C₂²×D₆₇	C₂⁵	1	4	yes	—
950	C₂²×D₆₇	C₂⁵	1	2	yes	—
951	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
952	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
953	Q₈×C₆₇	—	4	1	no	—
954	Q₈×C₆₇	—	4	2	no	—
955	Q₈×C₆₇	—	4	1	no	—
956	Q₈×C₆₇	—	4	2	no	—
957	Q₈×C₆₇	—	4	2	no	—
958	D₄×C₆₇	—	2	8	no	—
959	D₄×C₆₇	—	4	1	no	—
960	D₄×C₆₇	—	4	2	no	—
961	D₄×C₆₇	—	4	1	no	—
962	D₄×C₆₇	—	4	4	no	—
963	D₄×C₆₇	—	4	2	no	—
964	D₄×C₆₇	—	4	4	no	—
965	D₄×C₆₇	—	4	2	no	—
966	D₄×C₆₇	—	4	4	no	—
967	C₂×C₄×C₆₇	—	2	2	no	—
968	C₂×C₄×C₆₇	—	2	4	no	—
969	C₂×C₄×C₆₇	—	4	2	no	—
970	C₂×C₄×C₆₇	—	4	4	no	—
971	C₂×C₄×C₆₇	—	4	2	no	—
972	C₂×C₄×C₆₇	—	4	4	no	—
973	C₂×C₄×C₆₇	—	4	4	no	—
974	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
975	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
976	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
977	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
978	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
979	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
980	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
981	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
982	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
983	C₂²⋊D₆₇	—	2	8	no	—
984	C₂²⋊D₆₇	—	2	8	no	—
985	C₂²⋊D₆₇	—	4	2	no	—
986	C₂²⋊D₆₇	—	4	2	no	—
987	C₂²⋊D₆₇	—	4	2	no	—
988	C₂²⋊D₆₇	—	4	2	no	—
989	C₂²⋊D₆₇	—	4	4	no	—
990	C₂²⋊D₆₇	—	4	4	no	—
991	C₂²⋊D₆₇	—	4	4	no	—
992	C₂²⋊D₆₇	—	4	4	no	—
993	C₂²⋊D₆₇	—	4	4	no	—
994	C₂²⋊D₆₇	—	4	4	no	—
995	C₂²⋊D₆₇	—	4	4	no	—
996	C₂²⋊D₆₇	—	4	4	no	—
997	C₂×Dic₆₇	—	2	2	no	—
998	C₂×Dic₆₇	—	2	4	no	—
999	C₂×Dic₆₇	—	4	2	no	—
1000	C₂×Dic₆₇	—	4	4	no	—
1001	C₂×Dic₆₇	—	4	4	no	—
1002	C₂×Dic₆₇	—	4	2	no	—
1003	C₂×Dic₆₇	—	4	4	no	—
1004	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1005	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1006	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1007	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1008	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1009	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1010	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1011	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1012	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1013	D₂₆₈	—	2	8	no	—
1014	D₂₆₈	—	4	1	no	—
1015	D₂₆₈	—	4	2	no	—
1016	D₂₆₈	—	4	1	no	—
1017	D₂₆₈	—	4	4	no	—
1018	D₂₆₈	—	4	4	no	—
1019	D₂₆₈	—	4	2	no	—
1020	D₂₆₈	—	4	4	no	—
1021	D₂₆₈	—	4	2	no	—
1022	C₄×D₆₇	—	2	4	no	—
1023	C₄×D₆₇	—	2	2	no	—
1024	C₄×D₆₇	—	2	2	no	—
1025	C₄×D₆₇	—	2	2	no	—
1026	C₄×D₆₇	—	2	2	no	—
1027	C₄×D₆₇	—	2	4	no	—
1028	C₄×D₆₇	—	2	4	no	—
1029	C₄×D₆₇	—	2	4	no	—
1030	C₄×D₆₇	—	2	8	no	—
1031	C₄×D₆₇	—	2	4	no	—
1032	C₄×D₆₇	—	2	8	no	—
1033	C₄×D₆₇	—	2	4	no	—
1034	C₄×D₆₇	—	2	8	no	—
1035	C₄×D₆₇	—	4	2	no	—
1036	C₄×D₆₇	—	4	4	no	—
1037	C₄×D₆₇	—	4	2	no	—
1038	C₄×D₆₇	—	4	4	no	—
1039	C₄×D₆₇	—	4	4	no	—
1040	C₄×D₆₇	—	4	4	no	—
1041	C₄×D₆₇	—	4	4	no	—
1042	C₄×D₆₇	—	4	4	no	—
1043	C₄×D₆₇	—	4	4	no	—
1044	Dic₁₃₄	—	4	1	no	—
1045	Dic₁₃₄	—	4	2	no	—
1046	Dic₁₃₄	—	4	2	no	—
1047	Dic₁₃₄	—	4	2	no	—
1048	Dic₁₃₄	—	4	1	no	—
1049	Dic₁₃₄	—	4	2	no	—
1050	Dic₁₃₄	—	4	2	no	—
1051	Dic₁₃₄	—	4	4	no	—
1052	Dic₁₃₄	—	4	2	no	—
1053	Dic₁₃₄	—	4	4	no	—
1054	Dic₁₃₄	—	4	2	no	—
1055	C₂²×C₆₇	—	2	2	no	—
1056	C₂²×C₆₇	—	2	4	no	—
1057	C₂²×C₆₇	—	2	2	no	—
1058	C₂²×C₆₇	—	2	2	no	—
1059	C₂²×C₆₇	—	2	4	no	—
1060	C₂²×C₆₇	—	2	4	no	—
1061	C₂²×C₆₇	—	2	4	no	—
1062	C₂²×C₆₇	—	2	4	no	—
1063	C₂²×C₆₇	—	8	4	no	—
1064	C₂²×C₆₇	—	8	4	no	—
1065	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1066	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1067	C₂×D₆₇	—	2	2	no	—
1068	C₂×D₆₇	—	2	8	no	—
1069	C₂×D₆₇	—	2	4	no	—
1070	C₂×D₆₇	—	2	2	no	—
1071	C₂×D₆₇	—	2	2	no	—
1072	C₂×D₆₇	—	2	4	no	—
1073	C₂×D₆₇	—	2	4	no	—
1074	C₂×D₆₇	—	2	4	no	—
1075	C₂×D₆₇	—	2	4	no	—
1076	C₂×D₆₇	—	4	16	no	—
1077	C₂×D₆₇	—	4	8	no	—
1078	C₂×D₆₇	—	4	8	no	—
1079	C₂×D₆₇	—	8	4	no	—
1080	C₂×D₆₇	—	8	4	no	—
1081	C₂×D₆₇	—	8	4	no	—
1082	C₂×D₆₇	—	8	4	no	—
1083	C₂×D₆₇	—	8	8	no	—
1084	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1085	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1086	C₂×D₆₇	#585	1	4	yes	—
1087	C₄×C₆₇	—	2	2	no	—
1088	C₄×C₆₇	—	2	2	no	—
1089	C₄×C₆₇	—	2	1	no	—
1090	C₄×C₆₇	—	2	1	no	—
1091	C₄×C₆₇	—	2	4	no	—
1092	C₄×C₆₇	—	2	2	no	—
1093	C₄×C₆₇	—	2	4	no	—
1094	C₄×C₆₇	—	2	2	no	—
1095	C₄×C₆₇	—	2	4	no	—
1096	Dic₆₇	—	2	2	no	—
1097	Dic₆₇	—	2	2	no	—
1098	Dic₆₇	—	2	1	no	—
1099	Dic₆₇	—	2	1	no	—
1100	Dic₆₇	—	2	4	no	—
1101	Dic₆₇	—	2	2	no	—
1102	Dic₆₇	—	2	4	no	—
1103	Dic₆₇	—	2	2	no	—
1104	Dic₆₇	—	2	4	no	—
1105	C₂×#3545	—	67	1	no	maximal, Sylow
1106	C₂×C₆₇	—	2	2	no	—
1107	C₂×C₆₇	—	4	2	no	—
1108	C₂×C₆₇	—	4	2	no	—
1109	C₂×C₆₇	—	4	4	no	—
1110	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1111	C₂×C₆₇	C₂×#585	1	2	yes	—
1112	D₆₇	—	2	2	no	—
1113	D₆₇	—	4	4	no	—
1114	D₆₇	—	4	2	no	—
1115	D₆₇	—	4	2	no	—
1116	D₆₇	#3545	1	4	yes	direct product factor
1117	#3545	—	67	1	no	—
1118	#3545	—	67	2	no	—
1119	#3545	—	67	1	no	—
1120	#3545	—	67	2	no	—
1121	#3545	—	67	2	no	—
1122	#3545	—	67	4	no	—
1123	#3545	—	67	4	no	—
1124	#3545	—	67	4	no	—
1125	#3545	—	67	4	no	—
1126	#3545	—	67	2	no	—
1127	#3545	—	67	2	no	—
1128	#3545	—	67	2	no	—
1129	#3545	—	67	1	no	—
1130	#3545	D₆₇	1	1	yes	characteristic, direct product factor
1131	C₂×#563	—	67	1	no	—
1132	C₂×#562	—	67	2	no	—
1133	C₂×H(3,𝔽₄)	—	67	1	no	—
1134	C₂×#555	—	67	2	no	—
1135	C₂×#551	—	67	4	no	—
1136	C₂×#551	—	67	2	no	—
1137	C₂×#546	—	67	4	no	—
1138	C₂×#542	—	67	4	no	—
1139	C₂×#538	—	67	4	no	—
1140	C₂×#536	—	67	2	no	—
1141	C₂×#534	—	67	2	no	—
1142	C₂×#529	—	67	2	no	—
1143	C₂²×#124	—	67	1	no	—
1144	C₆₇	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
1145	C₂²×#41	—	67	2	no	—
1146	C₂³×Q₈	—	67	1	no	—
1147	C₂³×D₄	—	67	1	no	—
1148	C₂³×D₄	—	67	2	no	—
1149	#563	—	67	2	no	—
1150	#563	—	67	4	no	—
1151	#563	—	67	2	no	—
1152	#563	—	67	1	no	—
1153	#563	—	67	2	no	—
1154	#563	—	67	4	no	—
1155	#563	C₂×D₆₇	1	1	yes	characteristic, complemented
1156	#562	—	67	2	no	—
1157	#562	—	67	2	no	—
1158	#562	—	67	2	no	—
1159	#562	—	67	4	no	—
1160	#562	—	67	4	no	—
1161	#562	—	67	4	no	—
1162	#562	—	67	4	no	—
1163	#562	—	67	4	no	—
1164	#562	—	67	4	no	—
1165	#562	C₂×D₆₇	1	2	yes	complemented
1166	H(3,𝔽₄)	—	67	1	no	—
1167	H(3,𝔽₄)	—	67	4	no	—
1168	H(3,𝔽₄)	—	67	2	no	—
1169	H(3,𝔽₄)	—	67	2	no	—
1170	H(3,𝔽₄)	—	67	2	no	—
1171	H(3,𝔽₄)	—	67	4	no	—
1172	H(3,𝔽₄)	C₂×D₆₇	1	1	yes	characteristic, complemented
1173	#555	—	67	2	no	—
1174	#555	—	67	2	no	—
1175	#555	—	67	4	no	—
1176	#555	—	67	2	no	—
1177	#555	—	67	4	no	—
1178	#555	—	67	4	no	—
1179	#555	—	67	4	no	—
1180	#555	—	67	4	no	—
1181	#555	—	67	4	no	—
1182	#555	C₂×D₆₇	1	2	yes	complemented
1183	#551	—	67	4	no	—
1184	#551	—	67	4	no	—
1185	#551	—	67	4	no	—
1186	#551	—	67	2	no	—
1187	#551	—	67	4	no	—
1188	#551	—	67	2	no	—
1189	#551	—	67	4	no	—
1190	#551	—	67	4	no	—
1191	#551	—	67	4	no	—
1192	#551	—	67	4	no	—
1193	#551	—	67	4	no	—
1194	#551	—	67	4	no	—
1195	#551	—	67	4	no	—
1196	#551	—	67	4	no	—
1197	#551	—	67	2	no	—
1198	#551	—	67	4	no	—
1199	#551	—	67	4	no	—
1200	#551	—	67	4	no	—
1201	#551	—	67	4	no	—
1202	#551	—	67	4	no	—
1203	#551	—	67	4	no	—
1204	#551	—	67	4	no	—
1205	#551	—	67	4	no	—
1206	#551	—	67	4	no	—
1207	#551	C₂×D₆₇	1	2	yes	complemented
1208	#551	C₂×D₆₇	1	4	yes	complemented
1209	#546	—	67	4	no	—
1210	#546	—	67	4	no	—
1211	#546	—	67	4	no	—
1212	#546	—	67	4	no	—
1213	#546	—	67	4	no	—
1214	#546	—	67	4	no	—
1215	#546	—	67	4	no	—
1216	#546	—	67	4	no	—
1217	#546	—	67	4	no	—
1218	#546	—	67	4	no	—
1219	#546	—	67	4	no	—
1220	#546	—	67	4	no	—
1221	#546	—	67	4	no	—
1222	#546	—	67	4	no	—
1223	#546	—	67	4	no	—
1224	#546	C₂×D₆₇	1	4	yes	complemented
1225	#542	—	67	4	no	—
1226	#542	—	67	4	no	—
1227	#542	—	67	4	no	—
1228	#542	—	67	4	no	—
1229	#542	—	67	4	no	—
1230	#542	—	67	4	no	—
1231	#542	—	67	4	no	—
1232	#542	—	67	4	no	—
1233	#542	—	67	4	no	—
1234	#542	—	67	4	no	—
1235	#542	—	67	4	no	—
1236	#542	—	67	4	no	—
1237	#542	—	67	4	no	—
1238	#542	—	67	4	no	—
1239	#542	—	67	4	no	—
1240	#542	C₂×D₆₇	1	4	yes	complemented
1241	#538	—	67	4	no	—
1242	#538	—	67	4	no	—
1243	#538	—	67	4	no	—
1244	#538	—	67	4	no	—
1245	#538	—	67	4	no	—
1246	#538	—	67	4	no	—
1247	#538	—	67	4	no	—
1248	#538	—	67	4	no	—
1249	#538	—	67	4	no	—
1250	#538	—	67	4	no	—
1251	#538	—	67	4	no	—
1252	#538	—	67	4	no	—
1253	#538	—	67	4	no	—
1254	#538	—	67	4	no	—
1255	#538	—	67	4	no	—
1256	#538	C₂×D₆₇	1	4	yes	complemented
1257	#536	—	67	2	no	—
1258	#536	—	67	2	no	—
1259	#536	—	67	2	no	—
1260	#536	—	67	2	no	—
1261	#536	—	67	2	no	—
1262	#536	—	67	2	no	—
1263	#536	—	67	4	no	—
1264	#536	—	67	4	no	—
1265	#536	—	67	4	no	—
1266	#536	—	67	4	no	—
1267	#536	—	67	2	no	—
1268	#536	C₂×D₆₇	1	2	yes	complemented
1269	#534	—	67	2	no	—
1270	#534	—	67	2	no	—
1271	#534	—	67	2	no	—
1272	#534	—	67	2	no	—
1273	#534	—	67	4	no	—
1274	#534	—	67	4	no	—
1275	#534	—	67	4	no	—
1276	#534	—	67	2	no	—
1277	#534	—	67	4	no	—
1278	#534	—	67	2	no	—
1279	#534	—	67	2	no	—
1280	#534	C₂×D₆₇	1	2	yes	complemented
1281	C₂×C₄⋊Q₈	—	67	2	no	—
1282	C₂×C₄⋊Q₈	—	67	2	no	—
1283	#529	—	67	4	no	—
1284	#529	—	67	2	no	—
1285	#529	—	67	2	no	—
1286	#529	—	67	4	no	—
1287	#529	—	67	2	no	—
1288	#529	—	67	2	no	—
1289	#529	—	67	2	no	—
1290	#529	—	67	4	no	—
1291	#529	—	67	2	no	—
1292	#529	—	67	4	no	—
1293	#529	—	67	2	no	—
1294	#529	C₂×D₆₇	1	2	yes	complemented
1295	C₂×#126	—	67	4	no	—
1296	C₂×#126	—	67	4	no	—
1297	C₂×#126	—	67	4	no	—
1298	C₂×#125	—	67	2	no	—
1299	C₂×#124	—	67	1	no	—
1300	C₂×#124	—	67	1	no	—
1301	C₂×#124	—	67	1	no	—
1302	C₂×#124	—	67	1	no	—
1303	C₂×#124	—	67	1	no	—
1304	C₂×#124	—	67	1	no	—
1305	C₂×#124	—	67	4	no	—
1306	C₂×#124	—	67	1	no	—
1307	C₂×#124	—	67	1	no	—
1308	C₂×#124	—	67	4	no	—
1309	C₂×#124	—	67	1	no	—
1310	C₂×#124	—	67	1	no	—
1311	C₂×#124	—	67	2	no	—
1312	C₂×#124	—	67	2	no	—
1313	C₂×#124	—	67	2	no	—
1314	C₂×#124	—	67	4	no	—
1315	C₂×#124	—	67	4	no	—
1316	C₂×#124	—	67	4	no	—
1317	C₂×#124	—	67	1	no	—
1318	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
1319	C₂×#123	—	67	2	no	—
1320	C₂×#123	—	67	4	no	—
1321	C₂×#123	—	67	2	no	—
1322	C₂×#123	—	67	4	no	—
1323	C₂×#123	—	67	4	no	—
1324	C₂×#123	—	67	4	no	—
1325	C₂×#123	—	67	4	no	—
1326	C₂×C₂²⋊Q₈	—	67	2	no	—
1327	C₂×C₂²⋊Q₈	—	67	4	no	—
1328	C₂×C₂²⋊Q₈	—	67	4	no	—
1329	C₂×C₂²⋊Q₈	—	67	4	no	—
1330	C₂×C₂²⋊Q₈	—	67	4	no	—
1331	C₂×#121	—	67	2	no	—
1332	C₂×#121	—	67	4	no	—
1333	C₂×#121	—	67	4	no	—
1334	C₂×#121	—	67	4	no	—
1335	C₂×#121	—	67	4	no	—
1336	C₂×#120	—	67	4	no	—
1337	C₂×#120	—	67	2	no	—
1338	C₂×#120	—	67	2	no	—
1339	C₂×#120	—	67	4	no	—
1340	C₂×C₄×Q₈	—	67	2	no	—
1341	C₂×C₄×D₄	—	67	2	no	—
1342	C₂×C₄×D₄	—	67	4	no	—
1343	C₂×C₄×D₄	—	67	4	no	—
1344	C₂×C₄×D₄	—	67	4	no	—
1345	C₂×#117	—	67	4	no	—
1346	C₂×#117	—	67	2	no	—
1347	C₂×#117	—	67	4	no	—
1348	C₂²×C₂²⋊C₄	—	67	4	no	—
1349	C₂²×C₂²⋊C₄	—	67	2	no	—
1350	C₂²×C₂²⋊C₄	—	67	4	no	—
1351	C₂²×C₄²	—	67	1	no	—
1352	C₂⁵	—	67	2	no	—
1353	C₂⁵	—	67	2	no	—
1354	C₂×#41	—	268	8	no	—
1355	C₂×#41	—	67	2	no	—
1356	C₂×#41	—	67	2	no	—
1357	C₂×#41	—	67	4	no	—
1358	C₂×#41	—	67	2	no	—
1359	C₂×#41	—	67	4	no	—
1360	C₂×#41	C₂²×D₆₇	1	2	yes	—
1361	C₂²×Q₈	—	268	4	no	—
1362	C₂²×Q₈	—	67	2	no	—
1363	C₂²×Q₈	—	67	1	no	—
1364	C₂²×Q₈	—	67	2	no	—
1365	C₂²×Q₈	—	67	2	no	—
1366	C₂²×Q₈	—	67	1	no	—
1367	C₂²×Q₈	—	67	1	no	—
1368	C₂²×Q₈	—	67	2	no	—
1369	C₂²×Q₈	—	67	1	no	—
1370	C₂²×Q₈	—	67	2	no	—
1371	C₂²×Q₈	—	67	1	no	—
1372	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1373	C₂²×D₄	—	268	8	no	—
1374	C₂²×D₄	—	268	4	no	—
1375	C₂²×D₄	—	67	2	no	—
1376	C₂²×D₄	—	67	2	no	—
1377	C₂²×D₄	—	67	2	no	—
1378	C₂²×D₄	—	67	4	no	—
1379	C₂²×D₄	—	67	4	no	—
1380	C₂²×D₄	—	67	2	no	—
1381	C₂²×D₄	—	67	2	no	—
1382	C₂²×D₄	—	67	1	no	—
1383	C₂²×D₄	—	67	2	no	—
1384	C₂²×D₄	—	67	4	no	—
1385	C₂²×D₄	—	67	1	no	—
1386	C₂²×D₄	—	67	2	no	—
1387	C₂²×D₄	—	67	1	no	—
1388	C₂²×D₄	—	67	1	no	—
1389	C₂²×D₄	—	67	4	no	—
1390	C₂²×D₄	—	67	4	no	—
1391	C₂²×D₄	—	67	4	no	—
1392	C₂²×D₄	—	67	1	no	—
1393	C₂²×D₄	—	67	2	no	—
1394	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1395	C₂²×D₄	C₂²×D₆₇	1	2	yes	complemented
1396	C₂³×C₄	—	67	2	no	—
1397	C₂³×C₄	—	67	4	no	—
1398	C₂³×C₄	—	67	4	no	—
1399	C₂³×C₄	—	67	4	no	—
1400	C₂³×C₄	—	67	2	no	—
1401	C₂³×C₄	—	67	2	no	—
1402	C₂³×C₄	—	67	1	no	—
1403	C₄⋊Q₈	—	67	2	no	—
1404	C₄⋊Q₈	—	67	2	no	—
1405	C₄⋊Q₈	—	67	2	no	—
1406	C₄⋊Q₈	—	67	2	no	—
1407	C₄⋊Q₈	—	67	4	no	—
1408	C₄⋊Q₈	—	67	4	no	—
1409	C₄⋊Q₈	—	67	4	no	—
1410	C₄⋊Q₈	—	67	4	no	—
1411	C₄⋊Q₈	—	67	2	no	—
1412	C₄⋊Q₈	—	67	2	no	—
1413	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1414	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1415	#126	—	67	4	no	—
1416	#126	—	67	4	no	—
1417	#126	—	67	4	no	—
1418	#126	—	67	4	no	—
1419	#126	—	67	4	no	—
1420	#126	—	67	4	no	—
1421	#126	—	67	4	no	—
1422	#126	—	67	4	no	—
1423	#126	—	67	4	no	—
1424	#126	—	67	4	no	—
1425	#126	—	67	4	no	—
1426	#126	—	67	4	no	—
1427	#126	—	67	4	no	—
1428	#126	—	67	4	no	—
1429	#126	—	67	4	no	—
1430	#126	—	67	4	no	—
1431	#126	—	67	4	no	—
1432	#126	—	67	4	no	—
1433	#126	—	67	4	no	—
1434	#126	—	67	4	no	—
1435	#126	—	67	4	no	—
1436	#126	C₂²×D₆₇	1	4	yes	complemented
1437	#126	C₂²×D₆₇	1	4	yes	complemented
1438	#126	C₂²×D₆₇	1	4	yes	complemented
1439	#125	—	67	4	no	—
1440	#125	—	67	4	no	—
1441	#125	—	67	2	no	—
1442	#125	—	67	2	no	—
1443	#125	—	67	2	no	—
1444	#125	C₂²×D₆₇	1	2	yes	complemented
1445	#124	—	67	4	no	—
1446	#124	—	67	1	no	—
1447	#124	—	67	1	no	—
1448	#124	—	67	1	no	—
1449	#124	—	67	1	no	—
1450	#124	—	67	2	no	—
1451	#124	—	67	2	no	—
1452	#124	—	67	2	no	—
1453	#124	—	67	4	no	—
1454	#124	—	67	4	no	—
1455	#124	—	67	4	no	—
1456	#124	—	67	1	no	—
1457	#124	—	67	1	no	—
1458	#124	—	67	1	no	—
1459	#124	—	67	1	no	—
1460	#124	—	67	2	no	—
1461	#124	—	67	2	no	—
1462	#124	—	67	2	no	—
1463	#124	—	67	4	no	—
1464	#124	—	67	4	no	—
1465	#124	—	67	4	no	—
1466	#124	—	67	4	no	—
1467	#124	—	67	4	no	—
1468	#124	—	67	4	no	—
1469	#124	—	67	4	no	—
1470	#124	—	67	4	no	—
1471	#124	—	67	4	no	—
1472	#124	—	67	4	no	—
1473	#124	—	67	4	no	—
1474	#124	—	67	4	no	—
1475	#124	—	67	4	no	—
1476	#124	—	67	4	no	—
1477	#124	—	67	4	no	—
1478	#124	—	67	4	no	—
1479	#124	—	67	4	no	—
1480	#124	—	67	4	no	—
1481	#124	—	67	4	no	—
1482	#124	—	67	4	no	—
1483	#124	—	67	4	no	—
1484	#124	—	67	4	no	—
1485	#124	—	67	4	no	—
1486	#124	—	67	4	no	—
1487	#124	—	67	4	no	—
1488	#124	—	67	1	no	—
1489	#124	—	67	1	no	—
1490	#124	—	67	1	no	—
1491	#124	—	67	1	no	—
1492	#124	—	67	2	no	—
1493	#124	—	67	2	no	—
1494	#124	—	67	2	no	—
1495	#124	—	67	4	no	—
1496	#124	—	67	4	no	—
1497	#124	C₂²×D₆₇	1	1	yes	characteristic
1498	#124	C₂²×D₆₇	1	1	yes	characteristic
1499	#124	C₂²×D₆₇	1	4	yes	complemented
1500	#124	C₂²×D₆₇	1	1	yes	characteristic, complemented
1501	#124	C₂²×D₆₇	1	1	yes	characteristic, complemented
1502	#124	C₂²×D₆₇	1	2	yes	complemented
1503	#124	C₂²×D₆₇	1	2	yes	complemented
1504	#124	C₂²×D₆₇	1	2	yes	complemented
1505	#124	C₂²×D₆₇	1	4	yes	complemented
1506	#124	C₂²×D₆₇	1	4	yes	complemented
1507	#123	—	67	4	no	—
1508	#123	—	67	2	no	—
1509	#123	—	67	2	no	—
1510	#123	—	67	4	no	—
1511	#123	—	67	4	no	—
1512	#123	—	67	4	no	—
1513	#123	—	67	4	no	—
1514	#123	—	67	4	no	—
1515	#123	—	67	2	no	—
1516	#123	—	67	2	no	—
1517	#123	—	67	4	no	—
1518	#123	—	67	4	no	—
1519	#123	—	67	4	no	—
1520	#123	—	67	4	no	—
1521	#123	—	67	4	no	—
1522	#123	—	67	4	no	—
1523	#123	—	67	4	no	—
1524	#123	—	67	4	no	—
1525	#123	—	67	4	no	—
1526	#123	—	67	4	no	—
1527	#123	—	67	4	no	—
1528	#123	—	67	4	no	—
1529	#123	—	67	4	no	—
1530	#123	—	67	4	no	—
1531	#123	—	67	4	no	—
1532	#123	—	67	4	no	—
1533	#123	—	67	4	no	—
1534	#123	—	67	4	no	—
1535	#123	—	67	4	no	—
1536	#123	—	67	4	no	—
1537	#123	—	67	2	no	—
1538	#123	—	67	4	no	—
1539	#123	—	67	2	no	—
1540	#123	—	67	4	no	—
1541	#123	—	67	4	no	—
1542	#123	—	67	4	no	—
1543	#123	—	67	4	no	—
1544	#123	—	67	4	no	—
1545	#123	—	67	4	no	—
1546	#123	—	67	4	no	—
1547	#123	—	67	4	no	—
1548	#123	—	67	4	no	—
1549	#123	—	67	4	no	—
1550	#123	—	67	4	no	—
1551	#123	—	67	4	no	—
1552	#123	C₂²×D₆₇	1	2	yes	—
1553	#123	C₂²×D₆₇	1	4	yes	complemented
1554	#123	C₂²×D₆₇	1	2	yes	complemented
1555	#123	C₂²×D₆₇	1	4	yes	complemented
1556	#123	C₂²×D₆₇	1	4	yes	complemented
1557	#123	C₂²×D₆₇	1	4	yes	complemented
1558	#123	C₂²×D₆₇	1	4	yes	complemented
1559	C₂²⋊Q₈	—	67	2	no	—
1560	C₂²⋊Q₈	—	67	4	no	—
1561	C₂²⋊Q₈	—	67	4	no	—
1562	C₂²⋊Q₈	—	67	4	no	—
1563	C₂²⋊Q₈	—	67	4	no	—
1564	C₂²⋊Q₈	—	67	2	no	—
1565	C₂²⋊Q₈	—	67	4	no	—
1566	C₂²⋊Q₈	—	67	4	no	—
1567	C₂²⋊Q₈	—	67	4	no	—
1568	C₂²⋊Q₈	—	67	4	no	—
1569	C₂²⋊Q₈	—	67	4	no	—
1570	C₂²⋊Q₈	—	67	2	no	—
1571	C₂²⋊Q₈	—	67	4	no	—
1572	C₂²⋊Q₈	—	67	4	no	—
1573	C₂²⋊Q₈	—	67	4	no	—
1574	C₂²⋊Q₈	—	67	4	no	—
1575	C₂²⋊Q₈	—	67	4	no	—
1576	C₂²⋊Q₈	—	67	4	no	—
1577	C₂²⋊Q₈	—	67	4	no	—
1578	C₂²⋊Q₈	—	67	4	no	—
1579	C₂²⋊Q₈	—	67	4	no	—
1580	C₂²⋊Q₈	—	67	4	no	—
1581	C₂²⋊Q₈	—	67	4	no	—
1582	C₂²⋊Q₈	—	67	4	no	—
1583	C₂²⋊Q₈	—	67	4	no	—
1584	C₂²⋊Q₈	—	67	4	no	—
1585	C₂²⋊Q₈	—	67	4	no	—
1586	C₂²⋊Q₈	—	67	4	no	—
1587	C₂²⋊Q₈	—	67	4	no	—
1588	C₂²⋊Q₈	—	67	4	no	—
1589	C₂²⋊Q₈	—	67	4	no	—
1590	C₂²⋊Q₈	—	67	4	no	—
1591	C₂²⋊Q₈	—	67	4	no	—
1592	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1593	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1594	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1595	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1596	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1597	#121	—	67	2	no	—
1598	#121	—	67	4	no	—
1599	#121	—	67	4	no	—
1600	#121	—	67	4	no	—
1601	#121	—	67	4	no	—
1602	#121	—	67	4	no	—
1603	#121	—	67	4	no	—
1604	#121	—	67	4	no	—
1605	#121	—	67	4	no	—
1606	#121	—	67	4	no	—
1607	#121	—	67	4	no	—
1608	#121	—	67	4	no	—
1609	#121	—	67	4	no	—
1610	#121	—	67	4	no	—
1611	#121	—	67	2	no	—
1612	#121	—	67	4	no	—
1613	#121	—	67	4	no	—
1614	#121	—	67	4	no	—
1615	#121	—	67	4	no	—
1616	#121	—	67	2	no	—
1617	#121	—	67	4	no	—
1618	#121	—	67	4	no	—
1619	#121	—	67	4	no	—
1620	#121	—	67	4	no	—
1621	#121	—	67	4	no	—
1622	#121	—	67	4	no	—
1623	#121	—	67	4	no	—
1624	#121	—	67	4	no	—
1625	#121	—	67	4	no	—
1626	#121	—	67	4	no	—
1627	#121	—	67	4	no	—
1628	#121	—	67	4	no	—
1629	#121	—	67	4	no	—
1630	#121	C₂²×D₆₇	1	2	yes	—
1631	#121	C₂²×D₆₇	1	4	yes	—
1632	#121	C₂²×D₆₇	1	4	yes	complemented
1633	#121	C₂²×D₆₇	1	4	yes	complemented
1634	#121	C₂²×D₆₇	1	4	yes	complemented
1635	#120	—	67	2	no	—
1636	#120	—	67	4	no	—
1637	#120	—	67	2	no	—
1638	#120	—	67	4	no	—
1639	#120	—	67	2	no	—
1640	#120	—	67	4	no	—
1641	#120	—	67	4	no	—
1642	#120	—	67	4	no	—
1643	#120	—	67	4	no	—
1644	#120	—	67	2	no	—
1645	#120	—	67	4	no	—
1646	#120	—	67	4	no	—
1647	#120	—	67	4	no	—
1648	#120	—	67	4	no	—
1649	#120	—	67	4	no	—
1650	#120	—	67	2	no	—
1651	#120	—	67	4	no	—
1652	#120	—	67	4	no	—
1653	#120	—	67	4	no	—
1654	#120	—	67	4	no	—
1655	#120	—	67	2	no	—
1656	#120	—	67	4	no	—
1657	#120	—	67	4	no	—
1658	#120	—	67	4	no	—
1659	#120	C₂²×D₆₇	1	4	yes	—
1660	#120	C₂²×D₆₇	1	2	yes	—
1661	#120	C₂²×D₆₇	1	2	yes	complemented
1662	#120	C₂²×D₆₇	1	4	yes	complemented
1663	C₄×Q₈	—	67	2	no	—
1664	C₄×Q₈	—	67	4	no	—
1665	C₄×Q₈	—	67	2	no	—
1666	C₄×Q₈	—	67	4	no	—
1667	C₄×Q₈	—	67	2	no	—
1668	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1669	C₄×D₄	—	67	2	no	—
1670	C₄×D₄	—	67	4	no	—
1671	C₄×D₄	—	67	4	no	—
1672	C₄×D₄	—	67	4	no	—
1673	C₄×D₄	—	67	4	no	—
1674	C₄×D₄	—	67	4	no	—
1675	C₄×D₄	—	67	4	no	—
1676	C₄×D₄	—	67	4	no	—
1677	C₄×D₄	—	67	4	no	—
1678	C₄×D₄	—	67	4	no	—
1679	C₄×D₄	—	67	4	no	—
1680	C₄×D₄	—	67	2	no	—
1681	C₄×D₄	—	67	4	no	—
1682	C₄×D₄	—	67	4	no	—
1683	C₄×D₄	—	67	4	no	—
1684	C₄×D₄	—	67	4	no	—
1685	C₄×D₄	—	67	4	no	—
1686	C₄×D₄	—	67	4	no	—
1687	C₄×D₄	—	67	4	no	—
1688	C₄×D₄	—	67	4	no	—
1689	C₄×D₄	—	67	4	no	—
1690	C₄×D₄	—	67	4	no	—
1691	C₄×D₄	—	67	2	no	—
1692	C₄×D₄	—	67	4	no	—
1693	C₄×D₄	—	67	4	no	—
1694	C₄×D₄	—	67	4	no	—
1695	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1696	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1697	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1698	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1699	#117	—	67	4	no	—
1700	#117	—	67	2	no	—
1701	#117	—	67	4	no	—
1702	#117	—	67	4	no	—
1703	#117	—	67	4	no	—
1704	#117	—	67	4	no	—
1705	#117	—	67	4	no	—
1706	#117	—	67	4	no	—
1707	#117	—	67	4	no	—
1708	#117	—	67	4	no	—
1709	#117	—	67	4	no	—
1710	#117	—	67	4	no	—
1711	#117	—	67	4	no	—
1712	#117	—	67	4	no	—
1713	#117	—	67	4	no	—
1714	#117	—	67	2	no	—
1715	#117	—	67	2	no	—
1716	#117	—	67	4	no	—
1717	#117	—	67	4	no	—
1718	#117	C₂²×D₆₇	1	4	yes	complemented
1719	#117	C₂²×D₆₇	1	2	yes	complemented
1720	#117	C₂²×D₆₇	1	4	yes	complemented
1721	C₂×C₄⋊C₄	—	67	4	no	—
1722	C₂×C₄⋊C₄	—	67	4	no	—
1723	C₂×C₄⋊C₄	—	67	4	no	—
1724	C₂×C₄⋊C₄	—	67	4	no	—
1725	C₂×C₄⋊C₄	—	67	4	no	—
1726	C₂×C₄⋊C₄	—	67	4	no	—
1727	C₂×C₄⋊C₄	—	67	2	no	—
1728	C₂×C₄⋊C₄	—	67	2	no	—
1729	C₂×C₄⋊C₄	—	67	4	no	—
1730	C₂×C₂²⋊C₄	—	67	4	no	—
1731	C₂×C₂²⋊C₄	—	67	2	no	—
1732	C₂×C₂²⋊C₄	—	67	4	no	—
1733	C₂×C₂²⋊C₄	—	67	4	no	—
1734	C₂×C₂²⋊C₄	—	67	4	no	—
1735	C₂×C₂²⋊C₄	—	67	4	no	—
1736	C₂×C₂²⋊C₄	—	67	4	no	—
1737	C₂×C₂²⋊C₄	—	67	4	no	—
1738	C₂×C₂²⋊C₄	—	67	4	no	—
1739	C₂×C₂²⋊C₄	—	67	4	no	—
1740	C₂×C₂²⋊C₄	—	67	4	no	—
1741	C₂×C₂²⋊C₄	—	67	4	no	—
1742	C₂×C₂²⋊C₄	—	67	4	no	—
1743	C₂×C₂²⋊C₄	—	67	4	no	—
1744	C₂×C₂²⋊C₄	—	67	2	no	—
1745	C₂×C₂²⋊C₄	—	67	2	no	—
1746	C₂×C₂²⋊C₄	—	67	4	no	—
1747	C₂×C₂²⋊C₄	—	67	4	no	—
1748	C₂×C₂²⋊C₄	—	67	4	no	—
1749	C₂×C₂²⋊C₄	—	67	4	no	—
1750	C₂×C₂²⋊C₄	—	67	4	no	—
1751	C₂×C₂²⋊C₄	—	67	4	no	—
1752	C₂×C₂²⋊C₄	—	67	4	no	—
1753	C₂×C₂²⋊C₄	—	67	2	no	—
1754	C₂×C₂²⋊C₄	—	67	2	no	—
1755	C₂×C₂²⋊C₄	—	67	4	no	—
1756	C₂×C₂²⋊C₄	—	67	4	no	—
1757	C₂×C₂²⋊C₄	—	67	4	no	—
1758	C₂×C₂²⋊C₄	—	67	4	no	—
1759	C₂×C₂²⋊C₄	—	67	4	no	—
1760	C₂×C₂²⋊C₄	—	67	4	no	—
1761	C₂×C₂²⋊C₄	—	67	4	no	—
1762	C₂×C₂²⋊C₄	—	67	4	no	—
1763	C₂×C₂²⋊C₄	—	67	4	no	—
1764	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
1765	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	complemented
1766	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	complemented
1767	C₂×C₄²	—	67	1	no	—
1768	C₂×C₄²	—	67	2	no	—
1769	C₂×C₄²	—	67	1	no	—
1770	C₂×C₄²	—	67	2	no	—
1771	C₂×C₄²	—	67	4	no	—
1772	C₂×C₄²	—	67	2	no	—
1773	C₂×C₄²	—	67	2	no	—
1774	C₂×C₄²	—	67	1	no	—
1775	C₂×C₄²	—	67	1	no	—
1776	C₂×C₄²	—	67	2	no	—
1777	C₂×C₄²	—	67	1	no	—
1778	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic, complemented
1779	C₂⁴	—	268	4	no	—
1780	C₂⁴	—	268	8	no	—
1781	C₂⁴	—	268	8	no	—
1782	C₂⁴	—	67	4	no	—
1783	C₂⁴	—	67	2	no	—
1784	C₂⁴	—	67	2	no	—
1785	C₂⁴	—	67	2	no	—
1786	C₂⁴	—	67	2	no	—
1787	C₂⁴	—	67	1	no	—
1788	C₂⁴	—	67	2	no	—
1789	C₂⁴	—	67	4	no	—
1790	C₂⁴	—	67	2	no	—
1791	C₂⁴	—	134	8	no	—
1792	C₂⁴	C₂³×D₆₇	1	2	yes	—
1793	C₂⁴	C₂³×D₆₇	1	2	yes	—
1794	#41	—	4	4	no	—
1795	#41	—	268	4	no	—
1796	#41	—	268	8	no	—
1797	#41	—	268	8	no	—
1798	#41	—	268	4	no	—
1799	#41	—	268	4	no	—
1800	C₂×Q₈	—	4	2	no	—
1801	C₂×Q₈	—	268	2	no	—
1802	C₂×Q₈	—	268	4	no	—
1803	C₂×Q₈	—	268	2	no	—
1804	C₂×Q₈	—	268	4	no	—
1805	C₂×Q₈	—	268	2	no	—
1806	C₂×Q₈	—	268	2	no	—
1807	C₂×Q₈	—	268	4	no	—
1808	C₂×Q₈	—	268	2	no	—
1809	C₂×Q₈	—	268	4	no	—
1810	C₂×Q₈	—	268	4	no	—
1811	C₂×Q₈	—	67	2	no	—
1812	C₂×Q₈	—	67	4	no	—
1813	C₂×Q₈	—	67	2	no	—
1814	C₂×Q₈	—	67	1	no	—
1815	C₂×Q₈	—	67	2	no	—
1816	C₂×Q₈	—	67	2	no	—
1817	C₂×Q₈	—	67	2	no	—
1818	C₂×Q₈	—	67	4	no	—
1819	C₂×Q₈	—	67	2	no	—
1820	C₂×Q₈	—	67	1	no	—
1821	C₂×Q₈	—	67	2	no	—
1822	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1823	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
1824	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1825	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1826	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
1827	C₂×D₄	—	4	2	no	—
1828	C₂×D₄	—	4	4	no	—
1829	C₂×D₄	—	268	2	no	—
1830	C₂×D₄	—	268	4	no	—
1831	C₂×D₄	—	268	8	no	—
1832	C₂×D₄	—	268	8	no	—
1833	C₂×D₄	—	268	4	no	—
1834	C₂×D₄	—	268	4	no	—
1835	C₂×D₄	—	268	8	no	—
1836	C₂×D₄	—	268	2	no	—
1837	C₂×D₄	—	268	4	no	—
1838	C₂×D₄	—	268	2	no	—
1839	C₂×D₄	—	268	2	no	—
1840	C₂×D₄	—	268	4	no	—
1841	C₂×D₄	—	268	2	no	—
1842	C₂×D₄	—	268	4	no	—
1843	C₂×D₄	—	268	8	no	—
1844	C₂×D₄	—	268	8	no	—
1845	C₂×D₄	—	268	4	no	—
1846	C₂×D₄	—	268	4	no	—
1847	C₂×D₄	—	67	4	no	—
1848	C₂×D₄	—	67	4	no	—
1849	C₂×D₄	—	67	4	no	—
1850	C₂×D₄	—	67	4	no	—
1851	C₂×D₄	—	67	4	no	—
1852	C₂×D₄	—	67	4	no	—
1853	C₂×D₄	—	67	2	no	—
1854	C₂×D₄	—	67	2	no	—
1855	C₂×D₄	—	67	2	no	—
1856	C₂×D₄	—	67	4	no	—
1857	C₂×D₄	—	67	4	no	—
1858	C₂×D₄	—	67	2	no	—
1859	C₂×D₄	—	67	4	no	—
1860	C₂×D₄	—	67	4	no	—
1861	C₂×D₄	—	67	4	no	—
1862	C₂×D₄	—	67	4	no	—
1863	C₂×D₄	—	67	2	no	—
1864	C₂×D₄	—	67	2	no	—
1865	C₂×D₄	—	67	1	no	—
1866	C₂×D₄	—	67	2	no	—
1867	C₂×D₄	—	67	4	no	—
1868	C₂×D₄	—	67	1	no	—
1869	C₂×D₄	—	67	4	no	—
1870	C₂×D₄	—	134	16	no	—
1871	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1872	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1873	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1874	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1875	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
1876	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1877	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1878	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1879	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
1880	C₂²×C₄	—	268	4	no	—
1881	C₂²×C₄	—	268	8	no	—
1882	C₂²×C₄	—	268	8	no	—
1883	C₂²×C₄	—	268	4	no	—
1884	C₂²×C₄	—	268	8	no	—
1885	C₂²×C₄	—	67	2	no	—
1886	C₂²×C₄	—	67	4	no	—
1887	C₂²×C₄	—	67	4	no	—
1888	C₂²×C₄	—	67	4	no	—
1889	C₂²×C₄	—	67	2	no	—
1890	C₂²×C₄	—	67	2	no	—
1891	C₂²×C₄	—	67	2	no	—
1892	C₂²×C₄	—	67	4	no	—
1893	C₂²×C₄	—	67	4	no	—
1894	C₂²×C₄	—	67	4	no	—
1895	C₂²×C₄	—	67	4	no	—
1896	C₂²×C₄	—	67	4	no	—
1897	C₂²×C₄	—	67	4	no	—
1898	C₂²×C₄	—	67	4	no	—
1899	C₂²×C₄	—	67	1	no	—
1900	C₂²×C₄	—	67	2	no	—
1901	C₂²×C₄	—	67	2	no	—
1902	C₂²×C₄	—	67	4	no	—
1903	C₂²×C₄	—	67	2	no	—
1904	C₂²×C₄	—	67	2	no	—
1905	C₂²×C₄	—	67	1	no	—
1906	C₂²×C₄	—	67	1	no	—
1907	C₂²×C₄	—	67	1	no	—
1908	C₂²×C₄	—	67	1	no	—
1909	C₂²×C₄	—	67	4	no	—
1910	C₂²×C₄	—	67	4	no	—
1911	C₂²×C₄	—	67	2	no	—
1912	C₂²×C₄	—	67	2	no	—
1913	C₂²×C₄	—	67	2	no	—
1914	C₂²×C₄	—	134	4	no	—
1915	C₂²×C₄	—	134	8	no	—
1916	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1917	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1918	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1919	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1920	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1921	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1922	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1923	C₄⋊C₄	—	67	4	no	—
1924	C₄⋊C₄	—	67	4	no	—
1925	C₄⋊C₄	—	67	4	no	—
1926	C₄⋊C₄	—	67	4	no	—
1927	C₄⋊C₄	—	67	4	no	—
1928	C₄⋊C₄	—	67	4	no	—
1929	C₄⋊C₄	—	67	4	no	—
1930	C₄⋊C₄	—	67	4	no	—
1931	C₄⋊C₄	—	67	4	no	—
1932	C₄⋊C₄	—	67	4	no	—
1933	C₄⋊C₄	—	67	4	no	—
1934	C₄⋊C₄	—	67	4	no	—
1935	C₄⋊C₄	—	67	4	no	—
1936	C₄⋊C₄	—	67	4	no	—
1937	C₄⋊C₄	—	67	4	no	—
1938	C₄⋊C₄	—	67	4	no	—
1939	C₄⋊C₄	—	67	4	no	—
1940	C₄⋊C₄	—	67	4	no	—
1941	C₄⋊C₄	—	67	4	no	—
1942	C₄⋊C₄	—	67	2	no	—
1943	C₄⋊C₄	—	67	4	no	—
1944	C₄⋊C₄	—	67	2	no	—
1945	C₄⋊C₄	—	67	4	no	—
1946	C₄⋊C₄	—	67	4	no	—
1947	C₄⋊C₄	—	67	4	no	—
1948	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1949	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1950	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1951	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1952	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1953	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1954	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1955	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1956	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1957	C₂²⋊C₄	—	67	4	no	—
1958	C₂²⋊C₄	—	67	4	no	—
1959	C₂²⋊C₄	—	67	4	no	—
1960	C₂²⋊C₄	—	67	4	no	—
1961	C₂²⋊C₄	—	67	4	no	—
1962	C₂²⋊C₄	—	67	4	no	—
1963	C₂²⋊C₄	—	67	2	no	—
1964	C₂²⋊C₄	—	67	2	no	—
1965	C₂²⋊C₄	—	67	4	no	—
1966	C₂²⋊C₄	—	67	4	no	—
1967	C₂²⋊C₄	—	67	4	no	—
1968	C₂²⋊C₄	—	67	4	no	—
1969	C₂²⋊C₄	—	67	4	no	—
1970	C₂²⋊C₄	—	67	4	no	—
1971	C₂²⋊C₄	—	67	4	no	—
1972	C₂²⋊C₄	—	67	4	no	—
1973	C₂²⋊C₄	—	67	4	no	—
1974	C₂²⋊C₄	—	67	4	no	—
1975	C₂²⋊C₄	—	67	4	no	—
1976	C₂²⋊C₄	—	67	4	no	—
1977	C₂²⋊C₄	—	67	4	no	—
1978	C₂²⋊C₄	—	67	4	no	—
1979	C₂²⋊C₄	—	67	4	no	—
1980	C₂²⋊C₄	—	67	4	no	—
1981	C₂²⋊C₄	—	67	4	no	—
1982	C₂²⋊C₄	—	67	4	no	—
1983	C₂²⋊C₄	—	67	4	no	—
1984	C₂²⋊C₄	—	67	4	no	—
1985	C₂²⋊C₄	—	67	4	no	—
1986	C₂²⋊C₄	—	67	4	no	—
1987	C₂²⋊C₄	—	67	4	no	—
1988	C₂²⋊C₄	—	67	4	no	—
1989	C₂²⋊C₄	—	67	4	no	—
1990	C₂²⋊C₄	—	67	4	no	—
1991	C₂²⋊C₄	—	67	4	no	—
1992	C₂²⋊C₄	—	67	4	no	—
1993	C₂²⋊C₄	—	67	4	no	—
1994	C₂²⋊C₄	—	67	4	no	—
1995	C₂²⋊C₄	—	67	4	no	—
1996	C₂²⋊C₄	—	67	4	no	—
1997	C₂²⋊C₄	—	67	4	no	—
1998	C₂²⋊C₄	—	67	4	no	—
1999	C₂²⋊C₄	—	67	4	no	—
2000	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2001	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2002	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2003	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2004	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2005	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2006	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2007	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2008	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2009	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2010	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2011	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2012	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2013	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2014	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2015	C₄²	—	67	1	no	—
2016	C₄²	—	67	2	no	—
2017	C₄²	—	67	2	no	—
2018	C₄²	—	67	2	no	—
2019	C₄²	—	67	2	no	—
2020	C₄²	—	67	1	no	—
2021	C₄²	—	67	2	no	—
2022	C₄²	—	67	2	no	—
2023	C₄²	—	67	4	no	—
2024	C₄²	—	67	4	no	—
2025	C₄²	—	67	4	no	—
2026	C₄²	—	67	4	no	—
2027	C₄²	—	67	4	no	—
2028	C₄²	—	67	2	no	—
2029	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2030	C₄²	C₂³×D₆₇	1	2	yes	—
2031	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2032	C₄²	C₂³×D₆₇	1	2	yes	—
2033	C₄²	C₂³×D₆₇	1	4	yes	—
2034	C₄²	C₂³×D₆₇	1	2	yes	—
2035	C₂³	—	2	4	no	—
2036	C₂³	—	4	2	no	—
2037	C₂³	—	4	4	no	—
2038	C₂³	—	4	4	no	—
2039	C₂³	—	268	4	no	—
2040	C₂³	—	268	2	no	—
2041	C₂³	—	268	4	no	—
2042	C₂³	—	268	4	no	—
2043	C₂³	—	268	4	no	—
2044	C₂³	—	268	4	no	—
2045	C₂³	—	268	4	no	—
2046	C₂³	—	268	4	no	—
2047	C₂³	—	536	16	no	—
2048	C₂³	—	536	16	no	—
2049	C₂³	—	67	1	no	—
2050	C₂³	—	67	4	no	—
2051	C₂³	—	67	1	no	—
2052	C₂³	—	67	2	no	—
2053	C₂³	—	67	4	no	—
2054	C₂³	—	67	2	no	—
2055	C₂³	—	134	8	no	—
2056	C₂³	—	134	4	no	—
2057	C₂³	—	134	8	no	—
2058	C₂³	—	134	8	no	—
2059	C₂³	—	134	4	no	—
2060	C₂³	—	134	8	no	—
2061	C₂³	—	134	8	no	—
2062	C₂³	—	134	4	no	—
2063	C₂³	—	134	4	no	—
2064	C₂³	—	134	4	no	—
2065	C₂³	—	134	4	no	—
2066	C₂³	C₂⁴×D₆₇	1	2	yes	—
2067	C₂³	C₂⁴×D₆₇	1	4	yes	—
2068	C₂³	C₂⁴×D₆₇	1	2	yes	—
2069	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2070	Q₈	—	4	1	no	—
2071	Q₈	—	4	2	no	—
2072	Q₈	—	4	1	no	—
2073	Q₈	—	4	2	no	—
2074	Q₈	—	4	2	no	—
2075	Q₈	—	268	2	no	—
2076	Q₈	—	268	2	no	—
2077	Q₈	—	268	1	no	—
2078	Q₈	—	268	2	no	—
2079	Q₈	—	268	1	no	—
2080	Q₈	—	268	2	no	—
2081	Q₈	—	268	2	no	—
2082	Q₈	—	268	2	no	—
2083	Q₈	—	268	4	no	—
2084	Q₈	—	268	2	no	—
2085	Q₈	—	268	4	no	—
2086	D₄	—	2	8	no	—
2087	D₄	—	4	1	no	—
2088	D₄	—	4	2	no	—
2089	D₄	—	4	1	no	—
2090	D₄	—	4	4	no	—
2091	D₄	—	4	2	no	—
2092	D₄	—	4	4	no	—
2093	D₄	—	4	4	no	—
2094	D₄	—	4	2	no	—
2095	D₄	—	268	1	no	—
2096	D₄	—	268	2	no	—
2097	D₄	—	268	1	no	—
2098	D₄	—	268	4	no	—
2099	D₄	—	268	2	no	—
2100	D₄	—	268	4	no	—
2101	D₄	—	268	4	no	—
2102	D₄	—	268	2	no	—
2103	D₄	—	268	4	no	—
2104	D₄	—	268	4	no	—
2105	D₄	—	268	2	no	—
2106	D₄	—	268	2	no	—
2107	D₄	—	268	2	no	—
2108	D₄	—	268	2	no	—
2109	D₄	—	268	4	no	—
2110	D₄	—	268	4	no	—
2111	D₄	—	268	4	no	—
2112	D₄	—	268	4	no	—
2113	D₄	—	268	4	no	—
2114	D₄	—	268	4	no	—
2115	D₄	—	134	8	no	—
2116	D₄	—	134	8	no	—
2117	D₄	—	134	8	no	—
2118	C₂×C₄	—	2	2	no	—
2119	C₂×C₄	—	2	4	no	—
2120	C₂×C₄	—	4	2	no	—
2121	C₂×C₄	—	4	4	no	—
2122	C₂×C₄	—	4	4	no	—
2123	C₂×C₄	—	4	2	no	—
2124	C₂×C₄	—	4	4	no	—
2125	C₂×C₄	—	268	4	no	—
2126	C₂×C₄	—	268	4	no	—
2127	C₂×C₄	—	268	4	no	—
2128	C₂×C₄	—	268	4	no	—
2129	C₂×C₄	—	268	2	no	—
2130	C₂×C₄	—	268	4	no	—
2131	C₂×C₄	—	268	4	no	—
2132	C₂×C₄	—	268	2	no	—
2133	C₂×C₄	—	268	4	no	—
2134	C₂×C₄	—	268	2	no	—
2135	C₂×C₄	—	268	4	no	—
2136	C₂×C₄	—	268	4	no	—
2137	C₂×C₄	—	268	2	no	—
2138	C₂×C₄	—	268	4	no	—
2139	C₂×C₄	—	67	2	no	—
2140	C₂×C₄	—	67	2	no	—
2141	C₂×C₄	—	67	4	no	—
2142	C₂×C₄	—	67	2	no	—
2143	C₂×C₄	—	67	1	no	—
2144	C₂×C₄	—	67	1	no	—
2145	C₂×C₄	—	67	4	no	—
2146	C₂×C₄	—	67	4	no	—
2147	C₂×C₄	—	67	2	no	—
2148	C₂×C₄	—	134	4	no	—
2149	C₂×C₄	—	134	4	no	—
2150	C₂×C₄	—	134	8	no	—
2151	C₂×C₄	—	134	8	no	—
2152	C₂×C₄	—	134	4	no	—
2153	C₂×C₄	—	134	8	no	—
2154	C₂×C₄	—	134	2	no	—
2155	C₂×C₄	—	134	2	no	—
2156	C₂×C₄	—	134	2	no	—
2157	C₂×C₄	—	134	2	no	—
2158	C₂×C₄	—	134	4	no	—
2159	C₂×C₄	—	134	4	no	—
2160	C₂×C₄	—	134	4	no	—
2161	C₂×C₄	—	134	2	no	—
2162	C₂×C₄	—	134	4	no	—
2163	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2164	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2165	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2166	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2167	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2168	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2169	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2170	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2171	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2172	C₂²	—	2	2	no	—
2173	C₂²	—	2	4	no	—
2174	C₂²	—	2	2	no	—
2175	C₂²	—	2	2	no	—
2176	C₂²	—	2	4	no	—
2177	C₂²	—	2	4	no	—
2178	C₂²	—	2	4	no	—
2179	C₂²	—	2	4	no	—
2180	C₂²	—	8	4	no	—
2181	C₂²	—	8	4	no	—
2182	C₂²	—	268	8	no	—
2183	C₂²	—	268	16	no	—
2184	C₂²	—	268	8	no	—
2185	C₂²	—	536	4	no	—
2186	C₂²	—	536	4	no	—
2187	C₂²	—	536	8	no	—
2188	C₂²	—	536	4	no	—
2189	C₂²	—	536	4	no	—
2190	C₂²	—	67	2	no	—
2191	C₂²	—	67	4	no	—
2192	C₂²	—	67	2	no	—
2193	C₂²	—	134	8	no	—
2194	C₂²	—	134	4	no	—
2195	C₂²	—	134	2	no	—
2196	C₂²	—	134	2	no	—
2197	C₂²	—	134	4	no	—
2198	C₂²	—	134	4	no	—
2199	C₂²	—	134	4	no	—
2200	C₂²	—	134	4	no	—
2201	C₂²	—	134	2	no	—
2202	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
2203	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2204	C₄	—	2	2	no	—
2205	C₄	—	2	1	no	—
2206	C₄	—	2	1	no	—
2207	C₄	—	2	2	no	—
2208	C₄	—	2	4	no	—
2209	C₄	—	2	2	no	—
2210	C₄	—	2	4	no	—
2211	C₄	—	2	2	no	—
2212	C₄	—	2	4	no	—
2213	C₄	—	134	2	no	—
2214	C₄	—	134	4	no	—
2215	C₄	—	134	1	no	—
2216	C₄	—	134	1	no	—
2217	C₄	—	134	2	no	—
2218	C₄	—	134	2	no	—
2219	C₄	—	134	4	no	—
2220	C₄	—	134	2	no	—
2221	C₄	—	134	4	no	—
2222	C₂	—	2	2	no	—
2223	C₂	—	4	2	no	—
2224	C₂	—	4	4	no	—
2225	C₂	—	4	2	no	—
2226	C₂	—	268	2	no	—
2227	C₂	—	268	2	no	—
2228	C₂	—	268	4	no	—
2229	C₂	—	67	4	no	—
2230	C₂	—	134	2	no	—
2231	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2232	C₂	#585×D₆₇	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3545	C₂
hypercenter	#3545	D₆₇
hypocenter	C₆₇	C₂×#3545
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3545

Complements

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

N	H ≅ G/N	type
1. #22574567	C₂	semidirect
2. #22574566	C₂	semidirect
3. #22574565	C₂	semidirect
4. #22574564	C₂	semidirect
5. #22574563	C₂	semidirect
6. #22574562	C₂	semidirect
7. #22574561	C₂	semidirect
8. #22574560	C₂	semidirect
9. #22574559	C₂	semidirect
10. #22574558	C₂	semidirect
11. #22574557	C₂	semidirect
12. #22574556	C₂	semidirect
13. #22574555	C₂	semidirect
14. #563×D₆₇	C₂	semidirect
15. #562×D₆₇	C₂	semidirect
16. H(3,𝔽₄)×D₆₇	C₂	semidirect
17. #555×D₆₇	C₂	semidirect
18. #551×D₆₇	C₂	semidirect
19. #551×D₆₇	C₂	semidirect
20. #546×D₆₇	C₂	semidirect
21. #542×D₆₇	C₂	semidirect
22. #538×D₆₇	C₂	semidirect
23. #536×D₆₇	C₂	semidirect
24. #534×D₆₇	C₂	semidirect
25. #529×D₆₇	C₂	semidirect
26. C₂×#124×D₆₇	C₂	semidirect
27. C₆₇×#3545	C₂	semidirect
29. C₂²×Q₈×D₆₇	C₂²	semidirect
31. C₂²×D₄×D₆₇	C₂²	semidirect
32. #16864150	C₂²	semidirect
33. #16864149	C₂²	semidirect
34. #16864148	C₂²	semidirect
35. #16864147	C₂²	semidirect
36. #16864146	C₂²	semidirect
37. #16864145	C₂²	semidirect
38. #16864144	C₂²	semidirect
39. #16864143	C₂²	semidirect
40. #16864143	C₂²	semidirect
41. #16864142	C₂²	semidirect
42. #16864142	C₂²	semidirect
43. #16864141	C₂²	semidirect
44. #16864141	C₂²	semidirect
45. #16864140	C₂²	semidirect
46. #16864140	C₂²	semidirect
47. #16864139	C₂²	semidirect
48. #16864139	C₂²	semidirect
49. #16864138	C₂²	semidirect
50. #16864138	C₂²	semidirect
51. #16864138	C₂²	semidirect
52. #16864138	C₂²	semidirect
53. #16864112	C₂²	semidirect
54. #16864111	C₂²	semidirect
55. #16864110	C₂²	semidirect
56. #16864110	C₂²	semidirect
57. #16864109	C₂²	semidirect
58. #16864109	C₂²	semidirect
59. #16864108	C₂²	semidirect
60. #16864108	C₂²	semidirect
61. #16864108	C₂²	semidirect
62. #16864077	C₂²	semidirect
63. #16864077	C₂²	semidirect
64. #16864076	C₂²	semidirect
65. #16864076	C₂²	semidirect
66. #16864075	C₂²	semidirect
67. #16864075	C₂²	semidirect
68. #16864075	C₂²	semidirect
69. #16864074	C₂²	semidirect
70. #16864074	C₂²	semidirect
71. #16864073	C₂²	semidirect
72. #16864073	C₂²	semidirect
73. #16864073	C₂²	semidirect
74. #16864072	C₂²	semidirect
75. #16864072	C₂²	semidirect
76. #16864072	C₂²	semidirect
77. #16864071	C₂²	semidirect
78. #16864071	C₂²	semidirect
79. #16864071	C₂²	semidirect
80. #16864070	C₂²	semidirect
81. #16864070	C₂²	semidirect
82. #16864070	C₂²	semidirect
83. #16864069	C₂²	semidirect
84. #16864069	C₂²	semidirect
85. #16864069	C₂²	semidirect
86. #16864043	C₂²	semidirect
87. #16864042	C₂²	semidirect
88. #16864041	C₂²	semidirect
89. #16864040	C₂²	semidirect
90. #16864039	C₂²	semidirect
91. #16864038	C₂²	semidirect
92. #16864038	C₂²	semidirect
93. #16864037	C₂²	semidirect
94. #16864036	C₂²	semidirect
95. #16864036	C₂²	semidirect
96. #16864035	C₂²	semidirect
97. #16864035	C₂²	semidirect
98. #16864034	C₂²	semidirect
99. #16864033	C₂²	semidirect
100. #16864033	C₂²	semidirect
101. #16864020	C₂²	semidirect
102. #16864019	C₂²	semidirect
103. #16864018	C₂²	semidirect
104. #16864017	C₂²	semidirect
105. #16864016	C₂²	semidirect
106. #16864016	C₂²	semidirect
107. #16864015	C₂²	semidirect
108. #16864014	C₂²	semidirect
109. #16864014	C₂²	semidirect
110. #16864013	C₂²	semidirect
111. #16864012	C₂²	semidirect
112. #16864012	C₂²	semidirect
113. #16864011	C₂²	semidirect
114. #16864010	C₂²	semidirect
115. #16864010	C₂²	semidirect
116. #16863986	C₂²	semidirect
117. #16863985	C₂²	semidirect
118. #16863985	C₂²	semidirect
119. #16863984	C₂²	semidirect
120. #16863983	C₂²	semidirect
121. #16863982	C₂²	semidirect
122. #16863982	C₂²	semidirect
123. #16863981	C₂²	semidirect
124. #16863981	C₂²	semidirect
125. #16863980	C₂²	semidirect
126. #16863980	C₂²	semidirect
127. #16863979	C₂²	semidirect
128. #16863979	C₂²	semidirect
129. #16863978	C₂²	semidirect
130. #16863978	C₂²	semidirect
131. #16863972	C₂²	semidirect
132. #16863971	C₂²	semidirect
133. #16863971	C₂²	semidirect
134. #16863970	C₂²	semidirect
135. #16863969	C₂²	semidirect
136. #16863969	C₂²	semidirect
137. #16863968	C₂²	semidirect
138. #16863968	C₂²	semidirect
139. #16863967	C₂²	semidirect
140. #16863966	C₂²	semidirect
141. #16863966	C₂²	semidirect
142. #16863958	C₂²	semidirect
143. #16863957	C₂²	semidirect
144. #16863957	C₂²	semidirect
145. #16863957	C₂²	semidirect
146. #16863956	C₂²	semidirect
147. #16863956	C₂²	semidirect
148. #16863956	C₂²	semidirect
149. #16863955	C₂²	semidirect
150. #16863955	C₂²	semidirect
151. #16863954	C₂²	semidirect
152. #16863954	C₂²	semidirect
153. C₄⋊Q₈×D₆₇	C₂²	semidirect
154. C₄⋊Q₈×D₆₇	C₂²	semidirect
155. #16863933	C₂²	semidirect
156. #16863932	C₂²	semidirect
157. #16863931	C₂²	semidirect
158. #16863930	C₂²	semidirect
159. #16863929	C₂²	semidirect
160. #16863928	C₂²	semidirect
161. #16863927	C₂²	semidirect
162. #16863926	C₂²	semidirect
163. #16863925	C₂²	semidirect
164. #16863924	C₂²	semidirect
165. #16863923	C₂²	semidirect
166. #126×D₆₇	C₂²	semidirect
167. #126×D₆₇	C₂²	semidirect
168. #126×D₆₇	C₂²	semidirect
169. #125×D₆₇	C₂²	semidirect
170. C₂×#14524032	C₂²	semidirect
171. C₂×#14524031	C₂²	semidirect
172. C₂×#14524030	C₂²	semidirect
173. C₂×#14524029	C₂²	semidirect
176. #124×D₆₇	C₂²	semidirect
177. #124×D₆₇	C₂²	semidirect
178. #124×D₆₇	C₂²	semidirect
179. #124×D₆₇	C₂²	semidirect
180. #124×D₆₇	C₂²	semidirect
181. #124×D₆₇	C₂²	semidirect
182. #124×D₆₇	C₂²	semidirect
183. #124×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
190. #123×D₆₇	C₂²	semidirect
191. #123×D₆₇	C₂²	semidirect
192. #123×D₆₇	C₂²	semidirect
193. #123×D₆₇	C₂²	semidirect
194. #123×D₆₇	C₂²	semidirect
195. #123×D₆₇	C₂²	semidirect
196. C₂²⋊Q₈×D₆₇	C₂²	semidirect
197. C₂²⋊Q₈×D₆₇	C₂²	semidirect
198. C₂²⋊Q₈×D₆₇	C₂²	semidirect
199. C₂²⋊Q₈×D₆₇	C₂²	semidirect
200. C₂²⋊Q₈×D₆₇	C₂²	semidirect
203. #121×D₆₇	C₂²	semidirect
204. #121×D₆₇	C₂²	semidirect
205. #121×D₆₇	C₂²	semidirect
208. #120×D₆₇	C₂²	semidirect
209. #120×D₆₇	C₂²	semidirect
210. C₄×Q₈×D₆₇	C₂²	semidirect
211. C₄×D₄×D₆₇	C₂²	semidirect
212. C₄×D₄×D₆₇	C₂²	semidirect
213. C₄×D₄×D₆₇	C₂²	semidirect
214. C₄×D₄×D₆₇	C₂²	semidirect
215. #117×D₆₇	C₂²	semidirect
216. #117×D₆₇	C₂²	semidirect
217. #117×D₆₇	C₂²	semidirect
218. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
219. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
220. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
221. C₂×C₄²×D₆₇	C₂²	semidirect
222. #563×C₆₇	C₂²	semidirect
223. #562×C₆₇	C₂²	semidirect
224. H(3,𝔽₄)×C₆₇	C₂²	semidirect
225. #555×C₆₇	C₂²	semidirect
226. #551×C₆₇	C₂²	semidirect
227. #551×C₆₇	C₂²	semidirect
228. #546×C₆₇	C₂²	semidirect
229. #542×C₆₇	C₂²	semidirect
230. #538×C₆₇	C₂²	semidirect
231. #536×C₆₇	C₂²	semidirect
232. #534×C₆₇	C₂²	semidirect
233. #529×C₆₇	C₂²	semidirect
234. C₂×#124×C₆₇	C₂²	semidirect
243. C₂²×Dic₁₃₄	C₂³	semidirect
244. C₂²×Dic₁₃₄	C₂³	semidirect
251. C₂×Q₈×D₆₇	C₂³	semidirect
252. C₂×Q₈×D₆₇	C₂³	semidirect
253. C₂×Q₈×D₆₇	C₂³	semidirect
255. C₂²×D₂₆₈	C₂³	semidirect
257. C₂²×C₂²⋊D₆₇	C₂³	semidirect
258. C₂²×C₂²⋊D₆₇	C₂³	semidirect
273. C₂×D₄×D₆₇	C₂³	semidirect
274. C₂×D₄×D₆₇	C₂³	semidirect
282. #14524043	C₂³	semidirect
283. #14524043	C₂³	semidirect
284. #14524042	C₂³	semidirect
285. #14524042	C₂³	semidirect
286. #14524042	C₂³	semidirect
287. #14524042	C₂³	semidirect
288. #14524041	C₂³	semidirect
289. #14524041	C₂³	semidirect
290. #14524041	C₂³	semidirect
291. #14524041	C₂³	semidirect
292. #14524038	C₂³	semidirect
293. #14524038	C₂³	semidirect
294. #14524038	C₂³	semidirect
295. #14524038	C₂³	semidirect
296. #14524038	C₂³	semidirect
297. #14524038	C₂³	semidirect
298. #14524038	C₂³	semidirect
299. #14524038	C₂³	semidirect
300. #14524038	C₂³	semidirect
301. #14524037	C₂³	semidirect
302. #14524037	C₂³	semidirect
303. #14524037	C₂³	semidirect
304. #14524036	C₂³	semidirect
305. #14524036	C₂³	semidirect
306. #14524036	C₂³	semidirect
307. #14524036	C₂³	semidirect
308. #14524036	C₂³	semidirect
309. #14524036	C₂³	semidirect
310. #14524036	C₂³	semidirect
311. #14524036	C₂³	semidirect
312. #14524036	C₂³	semidirect
313. #14524035	C₂³	semidirect
314. #14524034	C₂³	semidirect
315. #14524034	C₂³	semidirect
316. #14524033	C₂³	semidirect
317. #14524033	C₂³	semidirect
320. #14524032	C₂³	semidirect
321. #14524032	C₂³	semidirect
322. #14524032	C₂³	semidirect
323. #14524032	C₂³	semidirect
324. #14524032	C₂³	semidirect
325. #14524032	C₂³	semidirect
326. #14524032	C₂³	semidirect
327. #14524032	C₂³	semidirect
330. #14524031	C₂³	semidirect
331. #14524031	C₂³	semidirect
332. #14524031	C₂³	semidirect
333. #14524031	C₂³	semidirect
334. #14524031	C₂³	semidirect
335. #14524031	C₂³	semidirect
336. #14524031	C₂³	semidirect
337. #14524031	C₂³	semidirect
340. #14524030	C₂³	semidirect
341. #14524030	C₂³	semidirect
342. #14524030	C₂³	semidirect
343. #14524030	C₂³	semidirect
344. #14524030	C₂³	semidirect
345. #14524030	C₂³	semidirect
346. #14524030	C₂³	semidirect
347. #14524030	C₂³	semidirect
350. #14524029	C₂³	semidirect
351. #14524029	C₂³	semidirect
352. #14524029	C₂³	semidirect
353. #14524029	C₂³	semidirect
354. #14524029	C₂³	semidirect
355. #14524029	C₂³	semidirect
356. #14524029	C₂³	semidirect
357. #14524029	C₂³	semidirect
358. #14524029	C₂³	semidirect
359. #14524029	C₂³	semidirect
360. #14524029	C₂³	semidirect
361. #14524029	C₂³	semidirect
362. #14524029	C₂³	semidirect
363. #14524029	C₂³	semidirect
364. #14524029	C₂³	semidirect
365. #14524029	C₂³	semidirect
366. #14524029	C₂³	semidirect
367. #14524029	C₂³	semidirect
368. #14524029	C₂³	semidirect
369. #14524029	C₂³	semidirect
371. #14524028	C₂³	semidirect
372. #14524028	C₂³	semidirect
373. #14524028	C₂³	semidirect
374. #14524028	C₂³	semidirect
375. #14524028	C₂³	semidirect
376. #14524028	C₂³	semidirect
377. #14524028	C₂³	semidirect
378. #14524028	C₂³	semidirect
379. #14524028	C₂³	semidirect
380. #14524028	C₂³	semidirect
381. #14524028	C₂³	semidirect
383. #14524027	C₂³	semidirect
384. #14524027	C₂³	semidirect
385. #14524027	C₂³	semidirect
386. #14524027	C₂³	semidirect
387. #14524027	C₂³	semidirect
388. #14524027	C₂³	semidirect
390. #14524026	C₂³	semidirect
391. #14524026	C₂³	semidirect
392. #14524026	C₂³	semidirect
393. #14524026	C₂³	semidirect
394. #14524026	C₂³	semidirect
395. #14524026	C₂³	semidirect
397. #14524025	C₂³	semidirect
398. #14524025	C₂³	semidirect
399. #14524025	C₂³	semidirect
400. #14524025	C₂³	semidirect
401. #14524025	C₂³	semidirect
402. #14524025	C₂³	semidirect
403. #14524025	C₂³	semidirect
404. #14524025	C₂³	semidirect
405. #14524025	C₂³	semidirect
406. #14524025	C₂³	semidirect
407. #14524025	C₂³	semidirect
409. #14524024	C₂³	semidirect
410. #14524024	C₂³	semidirect
411. #14524024	C₂³	semidirect
412. #14524024	C₂³	semidirect
413. #14524024	C₂³	semidirect
414. #14524024	C₂³	semidirect
415. #14524023	C₂³	semidirect
416. #14524023	C₂³	semidirect
417. #14524023	C₂³	semidirect
418. #14524023	C₂³	semidirect
419. #14524023	C₂³	semidirect
420. #14524022	C₂³	semidirect
421. #14524022	C₂³	semidirect
422. #14524022	C₂³	semidirect
423. #14524022	C₂³	semidirect
424. #14524022	C₂³	semidirect
425. #14524021	C₂³	semidirect
426. #14524021	C₂³	semidirect
427. #14524021	C₂³	semidirect
428. #14524021	C₂³	semidirect
429. #14524021	C₂³	semidirect
430. #14524021	C₂³	semidirect
431. #14524021	C₂³	semidirect
432. #14524021	C₂³	semidirect
433. #14524021	C₂³	semidirect
434. #14524020	C₂³	semidirect
435. #14524020	C₂³	semidirect
436. #14524020	C₂³	semidirect
437. #14524020	C₂³	semidirect
438. #14524020	C₂³	semidirect
439. #14524020	C₂³	semidirect
440. #14524020	C₂³	semidirect
441. #14524020	C₂³	semidirect
442. #14524020	C₂³	semidirect
443. #14524019	C₂³	semidirect
444. #14524019	C₂³	semidirect
445. #14524019	C₂³	semidirect
446. #14524019	C₂³	semidirect
447. #14524019	C₂³	semidirect
450. #14524018	C₂³	semidirect
451. #14524018	C₂³	semidirect
452. #14524018	C₂³	semidirect
455. #14524017	C₂³	semidirect
456. #14524017	C₂³	semidirect
457. #14524017	C₂³	semidirect
461. #14524016	C₂³	semidirect
462. #14524016	C₂³	semidirect
463. #14524016	C₂³	semidirect
464. #14524016	C₂³	semidirect
465. #14524016	C₂³	semidirect
466. #14524016	C₂³	semidirect
470. #14524015	C₂³	semidirect
471. #14524015	C₂³	semidirect
472. #14524015	C₂³	semidirect
473. #14524015	C₂³	semidirect
474. #14524015	C₂³	semidirect
475. #14524015	C₂³	semidirect
478. #14524014	C₂³	semidirect
479. #14524014	C₂³	semidirect
480. #14524014	C₂³	semidirect
486. #14524013	C₂³	semidirect
487. #14524013	C₂³	semidirect
488. #14524013	C₂³	semidirect
489. #14524013	C₂³	semidirect
490. #14524013	C₂³	semidirect
493. #14524012	C₂³	semidirect
494. #14524012	C₂³	semidirect
500. #14524011	C₂³	semidirect
501. #14524011	C₂³	semidirect
502. #14524011	C₂³	semidirect
503. #14524011	C₂³	semidirect
504. #14524011	C₂³	semidirect
505. Q₈×Dic₆₇	C₂³	semidirect
506. C₄×Dic₁₃₄	C₂³	semidirect
507. C₄×Dic₁₃₄	C₂³	semidirect
508. #14524008	C₂³	semidirect
509. #14524008	C₂³	semidirect
510. C₄×D₂₆₈	C₂³	semidirect
511. C₄×D₂₆₈	C₂³	semidirect
512. C₄×D₂₆₈	C₂³	semidirect
513. C₄×D₂₆₈	C₂³	semidirect
514. D₄×Dic₆₇	C₂³	semidirect
515. D₄×Dic₆₇	C₂³	semidirect
516. D₄×Dic₆₇	C₂³	semidirect
517. D₄×Dic₆₇	C₂³	semidirect
518. #14524005	C₂³	semidirect
519. #14524005	C₂³	semidirect
520. #14524005	C₂³	semidirect
521. #14524005	C₂³	semidirect
522. C₄×C₂²⋊D₆₇	C₂³	semidirect
523. C₄×C₂²⋊D₆₇	C₂³	semidirect
524. C₄×C₂²⋊D₆₇	C₂³	semidirect
525. C₄×C₂²⋊D₆₇	C₂³	semidirect
526. C₄×C₂²⋊D₆₇	C₂³	semidirect
527. C₄×C₂²⋊D₆₇	C₂³	semidirect
528. C₄×C₂²⋊D₆₇	C₂³	semidirect
529. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
530. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
531. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
532. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
533. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
534. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
535. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
536. #14524002	C₂³	semidirect
537. #14524002	C₂³	semidirect
538. #14524002	C₂³	semidirect
539. #14524001	C₂³	semidirect
540. #14524001	C₂³	semidirect
541. #14524001	C₂³	semidirect
542. #14524001	C₂³	semidirect
543. #14524001	C₂³	semidirect
544. #14524000	C₂³	semidirect
545. #14524000	C₂³	semidirect
546. #14524000	C₂³	semidirect
547. #14524000	C₂³	semidirect
548. #14524000	C₂³	semidirect
549. #14524000	C₂³	semidirect
550. #14523999	C₂³	semidirect
551. #14523999	C₂³	semidirect
552. #14523999	C₂³	semidirect
553. #14523999	C₂³	semidirect
554. #14523999	C₂³	semidirect
564. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
565. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
566. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
567. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
568. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
569. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
570. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
571. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
587. C₂²⋊C₄×D₆₇	C₂³	semidirect
588. C₂²⋊C₄×D₆₇	C₂³	semidirect
589. C₂²⋊C₄×D₆₇	C₂³	semidirect
590. C₂²⋊C₄×D₆₇	C₂³	semidirect
591. C₂²⋊C₄×D₆₇	C₂³	semidirect
592. C₂²⋊C₄×D₆₇	C₂³	semidirect
593. C₂²⋊C₄×D₆₇	C₂³	semidirect
594. C₂²⋊C₄×D₆₇	C₂³	semidirect
595. C₂²⋊C₄×D₆₇	C₂³	semidirect
596. C₂²⋊C₄×D₆₇	C₂³	semidirect
597. C₂²⋊C₄×D₆₇	C₂³	semidirect
598. C₂×C₄×Dic₆₇	C₂³	semidirect
599. C₂×C₄×Dic₆₇	C₂³	semidirect
606. C₄²×D₆₇	C₂³	semidirect
607. C₄²×D₆₇	C₂³	semidirect
608. C₄²×D₆₇	C₂³	semidirect
610. C₂²×Q₈×C₆₇	C₂³	semidirect
612. C₂²×D₄×C₆₇	C₂³	semidirect
613. C₄⋊Q₈×C₆₇	C₂³	semidirect
614. C₄⋊Q₈×C₆₇	C₂³	semidirect
615. #126×C₆₇	C₂³	semidirect
616. #126×C₆₇	C₂³	semidirect
617. #126×C₆₇	C₂³	semidirect
618. #125×C₆₇	C₂³	semidirect
621. #124×C₆₇	C₂³	semidirect
622. #124×C₆₇	C₂³	semidirect
623. #124×C₆₇	C₂³	semidirect
624. #124×C₆₇	C₂³	semidirect
625. #124×C₆₇	C₂³	semidirect
626. #124×C₆₇	C₂³	semidirect
627. #124×C₆₇	C₂³	semidirect
628. #124×C₆₇	C₂³	semidirect
630. #123×C₆₇	C₂³	semidirect
631. #123×C₆₇	C₂³	semidirect
632. #123×C₆₇	C₂³	semidirect
633. #123×C₆₇	C₂³	semidirect
634. #123×C₆₇	C₂³	semidirect
635. #123×C₆₇	C₂³	semidirect
636. C₂²⋊Q₈×C₆₇	C₂³	semidirect
637. C₂²⋊Q₈×C₆₇	C₂³	semidirect
638. C₂²⋊Q₈×C₆₇	C₂³	semidirect
639. C₂²⋊Q₈×C₆₇	C₂³	semidirect
640. C₂²⋊Q₈×C₆₇	C₂³	semidirect
643. #121×C₆₇	C₂³	semidirect
644. #121×C₆₇	C₂³	semidirect
645. #121×C₆₇	C₂³	semidirect
648. #120×C₆₇	C₂³	semidirect
649. #120×C₆₇	C₂³	semidirect
650. C₄×Q₈×C₆₇	C₂³	semidirect
651. C₄×D₄×C₆₇	C₂³	semidirect
652. C₄×D₄×C₆₇	C₂³	semidirect
653. C₄×D₄×C₆₇	C₂³	semidirect
654. C₄×D₄×C₆₇	C₂³	semidirect
655. #117×C₆₇	C₂³	semidirect
656. #117×C₆₇	C₂³	semidirect
657. #117×C₆₇	C₂³	semidirect
658. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
659. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
660. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
661. C₂×C₄²×C₆₇	C₂³	semidirect
1116. D₆₇	#3545	direct (N × H)
1130. #3545	D₆₇	direct (N × H)
1144. C₆₇	C₂×#3545	semidirect
1155. #563	C₂×D₆₇	semidirect
1165. #562	C₂×D₆₇	semidirect
1172. H(3,𝔽₄)	C₂×D₆₇	semidirect
1182. #555	C₂×D₆₇	semidirect
1207. #551	C₂×D₆₇	semidirect
1208. #551	C₂×D₆₇	semidirect
1224. #546	C₂×D₆₇	semidirect
1240. #542	C₂×D₆₇	semidirect
1256. #538	C₂×D₆₇	semidirect
1268. #536	C₂×D₆₇	semidirect
1280. #534	C₂×D₆₇	semidirect
1294. #529	C₂×D₆₇	semidirect
1318. C₂×#124	C₂×D₆₇	semidirect
1372. C₂²×Q₈	C₂²×D₆₇	semidirect
1395. C₂²×D₄	C₂²×D₆₇	semidirect
1413. C₄⋊Q₈	C₂²×D₆₇	semidirect
1414. C₄⋊Q₈	C₂²×D₆₇	semidirect
1436. #126	C₂²×D₆₇	semidirect
1437. #126	C₂²×D₆₇	semidirect
1438. #126	C₂²×D₆₇	semidirect
1444. #125	C₂²×D₆₇	semidirect
1499. #124	C₂²×D₆₇	semidirect
1500. #124	C₂²×D₆₇	semidirect
1501. #124	C₂²×D₆₇	semidirect
1502. #124	C₂²×D₆₇	semidirect
1503. #124	C₂²×D₆₇	semidirect
1504. #124	C₂²×D₆₇	semidirect
1505. #124	C₂²×D₆₇	semidirect
1506. #124	C₂²×D₆₇	semidirect
1553. #123	C₂²×D₆₇	semidirect
1554. #123	C₂²×D₆₇	semidirect
1555. #123	C₂²×D₆₇	semidirect
1556. #123	C₂²×D₆₇	semidirect
1557. #123	C₂²×D₆₇	semidirect
1558. #123	C₂²×D₆₇	semidirect
1592. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1593. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1594. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1595. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1596. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1632. #121	C₂²×D₆₇	semidirect
1633. #121	C₂²×D₆₇	semidirect
1634. #121	C₂²×D₆₇	semidirect
1661. #120	C₂²×D₆₇	semidirect
1662. #120	C₂²×D₆₇	semidirect
1668. C₄×Q₈	C₂²×D₆₇	semidirect
1695. C₄×D₄	C₂²×D₆₇	semidirect
1696. C₄×D₄	C₂²×D₆₇	semidirect
1697. C₄×D₄	C₂²×D₆₇	semidirect
1698. C₄×D₄	C₂²×D₆₇	semidirect
1718. #117	C₂²×D₆₇	semidirect
1719. #117	C₂²×D₆₇	semidirect
1720. #117	C₂²×D₆₇	semidirect
1764. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1765. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1766. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1778. C₂×C₄²	C₂²×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574567	2
#22574566	2
#22574565	2
#22574564	2
#22574563	2
#22574562	2
#22574561	2
#22574560	2
#22574559	2
#22574558	2
#22574557	2
#22574556	2
#22574555	2
#563×D₆₇	2
#562×D₆₇	2
H(3,𝔽₄)×D₆₇	2
#555×D₆₇	2
#551×D₆₇	2
#546×D₆₇	2
#542×D₆₇	2
#538×D₆₇	2
#536×D₆₇	2
#534×D₆₇	2
#529×D₆₇	2
C₂×#124×D₆₇	2
C₆₇×#3545	2
C₂×#3545	67

Subgroups — #3545×D67 #31763578

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3545×D₆₇ #31763578