Subgroups — #31764446

Order 17152.

9494 conjugacy classes of subgroups.

The subgroup lattice has 1484 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574366	C₂	1	2	yes	maximal, complemented
2	#22574364	C₂	1	3	yes	maximal, complemented
3	#22574363	C₂	1	3	yes	maximal, complemented
4	#22574362	C₂	1	6	yes	maximal, complemented
5	#22574361	C₂	1	3	yes	maximal, complemented
6	#22574360	C₂	1	6	yes	maximal, complemented
7	#22573895	C₂	1	6	yes	maximal, complemented
8	#22573893	C₂	1	6	yes	maximal, complemented
9	#22573891	C₂	1	6	yes	maximal, complemented
10	#22573843	C₂	1	3	yes	maximal, complemented
11	#22573841	C₂	1	3	yes	maximal, complemented
12	#22573839	C₂	1	6	yes	maximal, complemented
13	#22573837	C₂	1	6	yes	maximal, complemented
14	C₂×#120×D₆₇	C₂	1	3	yes	maximal, complemented
15	C₆₇×#3532	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂⁵×D₆₇	C₂²	1	1	yes	characteristic, complemented
17	C₂×#14524089	C₂²	1	3	yes	complemented
18	C₂×#14524088	C₂²	1	3	yes	complemented
19	C₂²×D₄×D₆₇	C₂²	1	6	yes	complemented
20	C₂²×D₄×D₆₇	C₂²	1	3	yes	complemented
21	#16864139	C₂²	1	1	yes	characteristic, complemented
22	#16864139	C₂²	1	3	yes	complemented
23	#16864138	C₂²	1	3	yes	complemented
24	#16864137	C₂²	1	2	yes	complemented
25	#16864136	C₂²	1	3	yes	complemented
26	#16864135	C₂²	1	3	yes	complemented
27	#16864135	C₂²	1	6	yes	complemented
28	#16864134	C₂²	1	6	yes	complemented
29	#16864133	C₂²	1	1	yes	characteristic, complemented
30	#16864077	C₂²	1	3	yes	complemented
31	#16864076	C₂²	1	3	yes	complemented
32	#16864076	C₂²	1	6	yes	complemented
33	#16864075	C₂²	1	6	yes	complemented
34	#16864074	C₂²	1	3	yes	complemented
35	#16864074	C₂²	1	6	yes	complemented
36	#16864073	C₂²	1	6	yes	complemented
37	#16864072	C₂²	1	6	yes	complemented
38	#16864071	C₂²	1	6	yes	complemented
39	#16864071	C₂²	1	6	yes	complemented
40	#16864071	C₂²	1	6	yes	complemented
41	#16864070	C₂²	1	6	yes	complemented
42	#16864069	C₂²	1	6	yes	complemented
43	#16864043	C₂²	1	6	yes	complemented
44	#16864043	C₂²	1	6	yes	complemented
45	#16864043	C₂²	1	6	yes	complemented
46	#16864042	C₂²	1	6	yes	complemented
47	#16864041	C₂²	1	6	yes	complemented
48	#16864040	C₂²	1	6	yes	complemented
49	#16864039	C₂²	1	6	yes	complemented
50	#16864039	C₂²	1	6	yes	complemented
51	#16864039	C₂²	1	6	yes	complemented
52	#16864038	C₂²	1	6	yes	complemented
53	#16864038	C₂²	1	6	yes	complemented
54	#16864038	C₂²	1	6	yes	complemented
55	#16864038	C₂²	1	6	yes	complemented
56	#16864037	C₂²	1	6	yes	complemented
57	#16864036	C₂²	1	6	yes	complemented
58	#16864036	C₂²	1	6	yes	complemented
59	#16864035	C₂²	1	6	yes	complemented
60	#16864035	C₂²	1	6	yes	complemented
61	#16864035	C₂²	1	6	yes	complemented
62	#16864035	C₂²	1	6	yes	complemented
63	#16864034	C₂²	1	6	yes	complemented
64	#16864033	C₂²	1	6	yes	complemented
65	#16864033	C₂²	1	6	yes	complemented
66	D₄×D₂₆₈	C₂²	1	6	yes	complemented
67	#16864031	C₂²	1	6	yes	complemented
68	#16864031	C₂²	1	3	yes	complemented
69	#16864030	C₂²	1	6	yes	complemented
70	#16864030	C₂²	1	6	yes	complemented
71	#16864030	C₂²	1	6	yes	complemented
72	#16864030	C₂²	1	6	yes	complemented
73	D₄×C₂²⋊D₆₇	C₂²	1	6	yes	complemented
74	D₄×C₂²⋊D₆₇	C₂²	1	6	yes	complemented
75	#16864028	C₂²	1	3	yes	complemented
76	#16864028	C₂²	1	6	yes	complemented
77	#16864028	C₂²	1	3	yes	complemented
78	#16864028	C₂²	1	6	yes	complemented
79	#16864021	C₂²	1	6	yes	complemented
80	#16863985	C₂²	1	6	yes	complemented
81	#16863985	C₂²	1	6	yes	complemented
82	#16863984	C₂²	1	6	yes	complemented
83	#16863982	C₂²	1	6	yes	complemented
84	#16863982	C₂²	1	6	yes	complemented
85	#16863981	C₂²	1	6	yes	complemented
86	#16863981	C₂²	1	6	yes	complemented
87	#16863980	C₂²	1	6	yes	complemented
88	#16863980	C₂²	1	6	yes	complemented
89	#16863978	C₂²	1	6	yes	complemented
90	#16863978	C₂²	1	6	yes	complemented
91	#16863964	C₂²	1	6	yes	complemented
92	#16863963	C₂²	1	3	yes	complemented
93	#16863962	C₂²	1	6	yes	complemented
94	#16863962	C₂²	1	6	yes	complemented
95	#16863961	C₂²	1	6	yes	complemented
96	#16863959	C₂²	1	6	yes	complemented
97	#16863957	C₂²	1	6	yes	complemented
98	#16863957	C₂²	1	6	yes	complemented
99	#16863956	C₂²	1	6	yes	complemented
100	#16863956	C₂²	1	6	yes	complemented
101	#16863956	C₂²	1	6	yes	complemented
102	#16863955	C₂²	1	3	yes	complemented
103	#16863954	C₂²	1	6	yes	complemented
104	#16863954	C₂²	1	6	yes	complemented
105	#16863954	C₂²	1	6	yes	complemented
106	#16863909	C₂²	1	6	yes	complemented
107	#16863908	C₂²	1	3	yes	complemented
108	#16863906	C₂²	1	6	yes	complemented
109	#16863905	C₂²	1	6	yes	complemented
110	#16863905	C₂²	1	6	yes	complemented
111	#16863904	C₂²	1	6	yes	complemented
112	#16863903	C₂²	1	3	yes	complemented
113	C₂×#14524013	C₂²	1	6	yes	complemented
114	C₂×#14524013	C₂²	1	3	yes	complemented
115	C₂×#14524013	C₂²	1	3	yes	complemented
116	C₂×#14524012	C₂²	1	3	yes	complemented
117	C₂×#14524011	C₂²	1	6	yes	complemented
118	C₂×#14524011	C₂²	1	3	yes	complemented
119	C₂×#14524011	C₂²	1	3	yes	complemented
120	#120×D₆₇	C₂²	1	6	yes	complemented
121	#120×D₆₇	C₂²	1	6	yes	complemented
122	#120×D₆₇	C₂²	1	6	yes	complemented
123	#120×D₆₇	C₂²	1	6	yes	complemented
124	#120×D₆₇	C₂²	1	6	yes	complemented
125	#120×D₆₇	C₂²	1	6	yes	complemented
126	#120×D₆₇	C₂²	1	6	yes	complemented
127	#120×D₆₇	C₂²	1	6	yes	complemented
128	#120×D₆₇	C₂²	1	6	yes	complemented
129	#16863870	C₂²	1	3	yes	complemented
130	#16863869	C₂²	1	3	yes	complemented
131	#16863868	C₂²	1	6	yes	complemented
132	#16863868	C₂²	1	6	yes	complemented
133	C₂×C₂²⋊C₄×D₆₇	C₂²	1	6	yes	complemented
134	C₂×C₂²⋊C₄×D₆₇	C₂²	1	3	yes	complemented
135	H(3,𝔽₄)×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	#560×C₆₇	C₂²	1	3	yes	complemented
137	#551×C₆₇	C₂²	1	3	yes	complemented
138	#546×C₆₇	C₂²	1	6	yes	complemented
139	D₄²×C₆₇	C₂²	1	3	yes	complemented
140	#538×C₆₇	C₂²	1	6	yes	complemented
141	#535×C₆₇	C₂²	1	3	yes	complemented
142	#534×C₆₇	C₂²	1	3	yes	complemented
143	C₂×#120×C₆₇	C₂²	1	3	yes	complemented
144	C₂⁴×D₆₇	—	4	12	no	—
145	C₂⁴×D₆₇	C₂³	1	3	yes	—
146	C₂⁴×D₆₇	C₂³	1	6	yes	—
147	C₂⁴×D₆₇	C₂³	1	2	yes	—
148	C₂⁴×D₆₇	C₂³	1	3	yes	—
149	C₂⁴×D₆₇	C₂³	1	3	yes	complemented
150	#14524089	—	4	12	no	—
151	#14524088	—	4	12	no	—
152	C₂×#11761629	C₂³	1	6	yes	complemented
153	C₂×#11761628	C₂³	1	3	yes	complemented
154	C₂×#11761628	C₂³	1	6	yes	complemented
155	C₂×#11761628	C₂³	1	6	yes	complemented
156	C₂×#11761627	C₂³	1	6	yes	complemented
157	C₂×#11761627	C₂³	1	6	yes	complemented
158	C₂²×D₂₆₈	C₂³	1	3	yes	—
159	C₂²×D₂₆₈	C₂³	1	6	yes	complemented
160	C₂²×D₂₆₈	C₂³	1	6	yes	complemented
161	C₂²×C₂²⋊D₆₇	C₂³	1	3	yes	—
162	C₂²×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
163	C₂²×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
164	C₂²×C₂²⋊D₆₇	C₂³	1	3	yes	complemented
165	C₂²×C₂²⋊D₆₇	C₂³	1	3	yes	complemented
166	C₂²×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
167	C₂×D₄×D₆₇	—	4	24	no	—
168	C₂×D₄×D₆₇	—	4	12	no	—
169	C₂×D₄×D₆₇	C₂³	1	6	yes	—
170	C₂×D₄×D₆₇	C₂³	1	6	yes	—
171	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
172	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
173	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
174	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
175	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
176	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
177	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
178	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
179	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
180	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
181	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
182	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
183	C₂×D₄×D₆₇	C₂³	1	6	yes	complemented
184	C₂²×C₄×D₆₇	C₂³	1	3	yes	complemented
185	C₂²×C₄×D₆₇	C₂³	1	6	yes	complemented
186	#14524040	C₂³	1	2	yes	complemented
187	#14524039	C₂³	1	6	yes	complemented
188	#14524039	C₂³	1	3	yes	complemented
189	#14524039	C₂³	1	3	yes	complemented
190	#14524039	C₂³	1	6	yes	complemented
191	#14524038	C₂³	1	6	yes	complemented
192	#14524038	C₂³	1	6	yes	complemented
193	#14524037	C₂³	1	2	yes	complemented
194	#14524037	C₂³	1	2	yes	complemented
195	#14524036	C₂³	1	6	yes	complemented
196	#14524036	C₂³	1	6	yes	complemented
197	#14524036	C₂³	1	6	yes	complemented
198	#14524036	C₂³	1	6	yes	complemented
199	#14524032	C₂³	1	6	yes	complemented
200	#14524031	C₂³	1	6	yes	complemented
201	#14524030	C₂³	1	6	yes	complemented
202	#14524030	C₂³	1	3	yes	complemented
203	#14524030	C₂³	1	3	yes	complemented
204	#14524029	C₂³	1	6	yes	complemented
205	#14524029	C₂³	1	6	yes	complemented
206	#14524029	C₂³	1	6	yes	complemented
207	#14524029	C₂³	1	6	yes	complemented
208	#14524029	C₂³	1	6	yes	complemented
209	#14524029	C₂³	1	6	yes	complemented
210	#14524028	C₂³	1	6	yes	complemented
211	#14524028	C₂³	1	6	yes	complemented
212	#14524028	C₂³	1	6	yes	complemented
213	#14524028	C₂³	1	6	yes	complemented
214	#14524028	C₂³	1	6	yes	complemented
215	#14524028	C₂³	1	6	yes	complemented
216	#14524027	C₂³	1	6	yes	complemented
217	#14524027	C₂³	1	6	yes	complemented
218	#14524026	C₂³	1	6	yes	complemented
219	#14524026	C₂³	1	6	yes	complemented
220	#14524025	C₂³	1	6	yes	complemented
221	#14524025	C₂³	1	6	yes	complemented
222	#14524025	C₂³	1	6	yes	complemented
223	#14524025	C₂³	1	6	yes	complemented
224	#14524025	C₂³	1	6	yes	complemented
225	#14524025	C₂³	1	6	yes	complemented
226	#14524025	C₂³	1	6	yes	complemented
227	#14524025	C₂³	1	6	yes	complemented
228	#14524024	C₂³	1	3	yes	complemented
229	#14524024	C₂³	1	3	yes	complemented
230	#14524024	C₂³	1	6	yes	complemented
231	#14524024	C₂³	1	6	yes	complemented
232	#14524023	C₂³	1	6	yes	complemented
233	#14524023	C₂³	1	6	yes	complemented
234	#14524022	C₂³	1	6	yes	complemented
235	#14524021	C₂³	1	6	yes	complemented
236	#14524021	C₂³	1	6	yes	complemented
237	#14524021	C₂³	1	6	yes	complemented
238	#14524021	C₂³	1	6	yes	complemented
239	#14524020	C₂³	1	6	yes	complemented
240	#14524020	C₂³	1	6	yes	complemented
241	#14524019	C₂³	1	6	yes	complemented
242	#14524019	C₂³	1	6	yes	complemented
243	#14524018	C₂³	1	6	yes	complemented
244	#14524018	C₂³	1	6	yes	complemented
245	#14524018	C₂³	1	6	yes	complemented
246	#14524018	C₂³	1	6	yes	complemented
247	#14524017	C₂³	1	6	yes	complemented
248	#14524017	C₂³	1	6	yes	complemented
249	#14524017	C₂³	1	6	yes	complemented
250	#14524016	C₂³	1	6	yes	complemented
251	#14524016	C₂³	1	6	yes	complemented
252	#14524016	C₂³	1	6	yes	complemented
253	#14524016	C₂³	1	6	yes	complemented
254	#14524016	C₂³	1	6	yes	complemented
255	#14524016	C₂³	1	6	yes	complemented
256	#14524016	C₂³	1	6	yes	complemented
257	#14524016	C₂³	1	6	yes	complemented
258	#14524016	C₂³	1	6	yes	complemented
259	#14524016	C₂³	1	6	yes	complemented
260	#14524015	C₂³	1	6	yes	complemented
261	#14524015	C₂³	1	6	yes	complemented
262	#14524015	C₂³	1	6	yes	complemented
263	#14524015	C₂³	1	6	yes	complemented
264	#14524015	C₂³	1	6	yes	complemented
265	#14524015	C₂³	1	6	yes	complemented
266	#14524015	C₂³	1	6	yes	complemented
267	#14524015	C₂³	1	6	yes	complemented
268	#14524014	C₂³	1	6	yes	complemented
269	#14524014	C₂³	1	6	yes	complemented
270	#14524014	C₂³	1	6	yes	complemented
271	#14524014	C₂³	1	6	yes	complemented
272	#14524014	C₂³	1	6	yes	complemented
273	#14524014	C₂³	1	6	yes	complemented
274	#14524013	C₂³	1	6	yes	—
275	#14524013	C₂³	1	6	yes	—
276	#14524013	C₂³	1	6	yes	—
277	#14524013	C₂³	1	6	yes	—
278	#14524013	C₂³	1	6	yes	—
279	#14524013	C₂³	1	6	yes	complemented
280	#14524013	C₂³	1	6	yes	complemented
281	#14524013	C₂³	1	6	yes	complemented
282	#14524013	C₂³	1	6	yes	complemented
283	#14524013	C₂³	1	6	yes	complemented
284	#14524013	C₂³	1	6	yes	complemented
285	#14524013	C₂³	1	6	yes	complemented
286	#14524013	C₂³	1	6	yes	complemented
287	#14524013	C₂³	1	6	yes	complemented
288	#14524013	C₂³	1	6	yes	complemented
289	#14524013	C₂³	1	6	yes	complemented
290	#14524013	C₂³	1	6	yes	complemented
291	#14524013	C₂³	1	6	yes	complemented
292	#14524012	C₂³	1	6	yes	—
293	#14524012	C₂³	1	6	yes	complemented
294	#14524012	C₂³	1	6	yes	complemented
295	#14524012	C₂³	1	6	yes	complemented
296	#14524012	C₂³	1	6	yes	complemented
297	#14524012	C₂³	1	2	yes	complemented
298	#14524011	C₂³	1	3	yes	—
299	#14524011	C₂³	1	6	yes	—
300	#14524011	C₂³	1	6	yes	—
301	#14524011	C₂³	1	6	yes	—
302	#14524011	C₂³	1	6	yes	—
303	#14524011	C₂³	1	3	yes	—
304	#14524011	C₂³	1	3	yes	complemented
305	#14524011	C₂³	1	3	yes	complemented
306	#14524011	C₂³	1	6	yes	complemented
307	#14524011	C₂³	1	6	yes	complemented
308	#14524011	C₂³	1	6	yes	complemented
309	#14524011	C₂³	1	6	yes	complemented
310	#14524011	C₂³	1	6	yes	complemented
311	#14524011	C₂³	1	6	yes	complemented
312	#14524011	C₂³	1	6	yes	complemented
313	#14524011	C₂³	1	3	yes	complemented
314	#14524011	C₂³	1	6	yes	complemented
315	#14524011	C₂³	1	3	yes	complemented
316	#14524011	C₂³	1	6	yes	complemented
317	#14524011	C₂³	1	6	yes	complemented
318	#14524011	C₂³	1	6	yes	complemented
319	#14524011	C₂³	1	6	yes	complemented
320	C₄×D₂₆₈	C₂³	1	6	yes	complemented
321	C₄×D₂₆₈	C₂³	1	6	yes	complemented
322	C₄×D₂₆₈	C₂³	1	6	yes	complemented
323	C₄×D₂₆₈	C₂³	1	6	yes	complemented
324	D₄×Dic₆₇	C₂³	1	6	yes	complemented
325	D₄×Dic₆₇	C₂³	1	6	yes	complemented
326	#14524005	C₂³	1	6	yes	complemented
327	#14524005	C₂³	1	6	yes	complemented
328	#14524005	C₂³	1	6	yes	complemented
329	#14524005	C₂³	1	6	yes	complemented
330	C₄×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
331	C₄×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
332	C₄×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
333	C₄×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
334	C₄×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
335	C₄×C₂²⋊D₆₇	C₂³	1	6	yes	complemented
336	(C₂²⋊D₆₇)⋊C₄	C₂³	1	6	yes	complemented
337	(C₂²⋊D₆₇)⋊C₄	C₂³	1	6	yes	complemented
338	(C₂²⋊D₆₇)⋊C₄	C₂³	1	6	yes	complemented
339	(C₂²⋊D₆₇)⋊C₄	C₂³	1	6	yes	complemented
340	(C₂²⋊D₆₇)⋊C₄	C₂³	1	6	yes	complemented
341	(C₂²⋊D₆₇)⋊C₄	C₂³	1	6	yes	complemented
342	#14524002	C₂³	1	3	yes	complemented
343	#14524001	C₂³	1	6	yes	complemented
344	#14524001	C₂³	1	6	yes	complemented
345	#14524000	C₂³	1	6	yes	complemented
346	#14524000	C₂³	1	6	yes	complemented
347	#14523999	C₂³	1	6	yes	complemented
348	C₂×C₂²⋊Dic₆₇	C₂³	1	6	yes	complemented
349	C₂×C₂²⋊Dic₆₇	C₂³	1	3	yes	complemented
350	C₂×C₂²⋊Dic₆₇	C₂³	1	3	yes	complemented
351	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	6	yes	—
352	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	6	yes	complemented
353	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	6	yes	complemented
354	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	6	yes	complemented
355	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	6	yes	complemented
356	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	—
357	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	—
358	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
359	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
360	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
361	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
362	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
363	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
364	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
365	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
366	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
367	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
368	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
369	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
370	C₂²⋊C₄×D₆₇	C₂³	1	6	yes	complemented
371	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
372	C₂×#41×C₆₇	C₂³	1	3	yes	complemented
373	C₂²×D₄×C₆₇	C₂³	1	6	yes	complemented
374	C₂²×D₄×C₆₇	C₂³	1	3	yes	complemented
375	C₂²×D₄×C₆₇	C₂³	1	3	yes	complemented
376	#127×C₆₇	C₂³	1	1	yes	characteristic, complemented
377	#127×C₆₇	C₂³	1	3	yes	complemented
378	#126×C₆₇	C₂³	1	2	yes	complemented
379	#126×C₆₇	C₂³	1	6	yes	complemented
380	#124×C₆₇	C₂³	1	3	yes	complemented
381	#124×C₆₇	C₂³	1	3	yes	complemented
382	#124×C₆₇	C₂³	1	6	yes	complemented
383	#123×C₆₇	C₂³	1	3	yes	complemented
384	#123×C₆₇	C₂³	1	3	yes	complemented
385	#123×C₆₇	C₂³	1	6	yes	complemented
386	#123×C₆₇	C₂³	1	6	yes	complemented
387	C₂²⋊Q₈×C₆₇	C₂³	1	6	yes	complemented
388	#121×C₆₇	C₂³	1	6	yes	complemented
389	#121×C₆₇	C₂³	1	6	yes	complemented
390	#121×C₆₇	C₂³	1	6	yes	complemented
391	#121×C₆₇	C₂³	1	6	yes	complemented
392	#121×C₆₇	C₂³	1	6	yes	complemented
393	#120×C₆₇	C₂³	1	3	yes	—
394	#120×C₆₇	C₂³	1	3	yes	—
395	#120×C₆₇	C₂³	1	6	yes	complemented
396	#120×C₆₇	C₂³	1	6	yes	complemented
397	#120×C₆₇	C₂³	1	3	yes	complemented
398	#120×C₆₇	C₂³	1	3	yes	complemented
399	#120×C₆₇	C₂³	1	6	yes	complemented
400	#120×C₆₇	C₂³	1	1	yes	characteristic, complemented
401	#120×C₆₇	C₂³	1	3	yes	complemented
402	C₄×D₄×C₆₇	C₂³	1	6	yes	complemented
403	C₄×D₄×C₆₇	C₂³	1	6	yes	complemented
404	#117×C₆₇	C₂³	1	3	yes	complemented
405	C₂×C₂²⋊C₄×C₆₇	C₂³	1	6	yes	complemented
406	C₂×C₂²⋊C₄×C₆₇	C₂³	1	3	yes	complemented
407	C₂×C₂²⋊C₄×C₆₇	C₂³	1	3	yes	complemented
408	C₂³×D₆₇	—	2	12	no	—
409	C₂³×D₆₇	—	2	24	no	—
410	C₂³×D₆₇	—	4	12	no	—
411	C₂³×D₆₇	—	4	12	no	—
412	C₂³×D₆₇	—	4	12	no	—
413	C₂³×D₆₇	—	4	12	no	—
414	C₂³×D₆₇	—	4	12	no	—
415	C₂³×D₆₇	—	4	12	no	—
416	C₂³×D₆₇	—	4	6	no	—
417	C₂³×D₆₇	—	4	6	no	—
418	C₂³×D₆₇	—	4	64	no	—
419	C₂³×D₆₇	C₂⁴	1	3	yes	—
420	C₂³×D₆₇	C₂⁴	1	6	yes	—
421	C₂³×D₆₇	C₂⁴	1	3	yes	—
422	C₂³×D₆₇	C₂⁴	1	6	yes	—
423	C₂³×D₆₇	C₂⁴	1	6	yes	—
424	C₂³×D₆₇	C₂⁴	1	3	yes	—
425	C₂³×D₆₇	C₂⁴	1	6	yes	—
426	C₂³×D₆₇	C₂⁴	1	6	yes	—
427	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
428	C₂³×D₆₇	C₂⁴	1	3	yes	—
429	C₂³×D₆₇	C₂⁴	1	3	yes	complemented
430	#11761629	—	4	12	no	—
431	#11761628	—	4	12	no	—
432	#11761628	—	4	12	no	—
433	#11761628	—	4	6	no	—
434	#11761627	—	4	12	no	—
435	#11761627	—	4	12	no	—
436	C₂×Dic₁₃₄	C₂⁴	1	3	yes	complemented
437	C₂×Dic₁₃₄	C₂⁴	1	6	yes	complemented
438	C₂×D₂₆₈	—	2	12	no	—
439	C₂×D₂₆₈	—	4	12	no	—
440	C₂×D₂₆₈	—	4	12	no	—
441	C₂×D₂₆₈	C₂⁴	1	6	yes	—
442	C₂×D₂₆₈	C₂⁴	1	6	yes	—
443	C₂×D₂₆₈	C₂⁴	1	6	yes	—
444	C₂×D₂₆₈	C₂⁴	1	6	yes	—
445	C₂×D₂₆₈	C₂⁴	1	6	yes	—
446	C₂×D₂₆₈	C₂⁴	1	6	yes	—
447	C₂×D₂₆₈	C₂⁴	1	6	yes	complemented
448	C₂×D₂₆₈	C₂⁴	1	3	yes	complemented
449	C₂×C₂²⋊D₆₇	—	2	12	no	—
450	C₂×C₂²⋊D₆₇	—	4	6	no	—
451	C₂×C₂²⋊D₆₇	—	4	12	no	—
452	C₂×C₂²⋊D₆₇	—	4	12	no	—
453	C₂×C₂²⋊D₆₇	—	4	12	no	—
454	C₂×C₂²⋊D₆₇	—	4	6	no	—
455	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
456	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
457	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
458	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
459	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
460	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
461	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
462	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
463	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
464	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
465	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
466	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	—
467	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	complemented
468	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	complemented
469	C₂×C₂²⋊D₆₇	C₂⁴	1	6	yes	complemented
470	D₄×D₆₇	—	2	24	no	—
471	D₄×D₆₇	—	2	24	no	—
472	D₄×D₆₇	—	4	12	no	—
473	D₄×D₆₇	—	4	12	no	—
474	D₄×D₆₇	—	4	12	no	—
475	D₄×D₆₇	—	4	12	no	—
476	D₄×D₆₇	—	4	12	no	—
477	D₄×D₆₇	—	4	12	no	—
478	D₄×D₆₇	—	4	12	no	—
479	D₄×D₆₇	—	4	12	no	—
480	D₄×D₆₇	—	4	12	no	—
481	D₄×D₆₇	—	4	12	no	—
482	D₄×D₆₇	—	4	12	no	—
483	D₄×D₆₇	—	4	12	no	—
484	D₄×D₆₇	—	4	12	no	—
485	C₂²×Dic₆₇	C₂⁴	1	3	yes	—
486	C₂²×Dic₆₇	C₂⁴	1	6	yes	—
487	C₂²×Dic₆₇	C₂⁴	1	3	yes	complemented
488	C₂²×Dic₆₇	C₂⁴	1	6	yes	complemented
489	C₂×C₄×D₆₇	—	4	12	no	—
490	C₂×C₄×D₆₇	—	4	6	no	—
491	C₂×C₄×D₆₇	C₂⁴	1	6	yes	—
492	C₂×C₄×D₆₇	C₂⁴	1	6	yes	—
493	C₂×C₄×D₆₇	C₂⁴	1	6	yes	—
494	C₂×C₄×D₆₇	C₂⁴	1	6	yes	—
495	C₂×C₄×D₆₇	C₂⁴	1	6	yes	—
496	C₂×C₄×D₆₇	C₂⁴	1	6	yes	—
497	C₂×C₄×D₆₇	C₂⁴	1	6	yes	complemented
498	C₂×C₄×D₆₇	C₂⁴	1	6	yes	complemented
499	C₂×C₄×D₆₇	C₂⁴	1	6	yes	complemented
500	C₄⋊Dic₆₇	C₂⁴	1	6	yes	complemented
501	C₄⋊Dic₆₇	C₂⁴	1	6	yes	complemented
502	C₄⋊Dic₆₇	C₂⁴	1	6	yes	complemented
503	Dic₆₇⋊C₄	C₂⁴	1	6	yes	complemented
504	Dic₆₇⋊C₄	C₂⁴	1	6	yes	complemented
505	Dic₆₇⋊C₄	C₂⁴	1	6	yes	complemented
506	Dic₆₇⋊C₄	C₂⁴	1	6	yes	complemented
507	Dic₆₇⋊C₄	C₂⁴	1	6	yes	complemented
508	Dic₆₇⋊C₄	C₂⁴	1	6	yes	complemented
509	C₂²⋊Dic₆₇	C₂⁴	1	6	yes	—
510	C₂²⋊Dic₆₇	C₂⁴	1	6	yes	—
511	C₂²⋊Dic₆₇	C₂⁴	1	6	yes	—
512	C₂²⋊Dic₆₇	C₂⁴	1	3	yes	—
513	C₂²⋊Dic₆₇	C₂⁴	1	3	yes	—
514	C₂²⋊Dic₆₇	C₂⁴	1	6	yes	—
515	C₂²⋊Dic₆₇	C₂⁴	1	6	yes	—
516	C₂²⋊Dic₆₇	C₂⁴	1	6	yes	complemented
517	C₂²⋊Dic₆₇	C₂⁴	1	6	yes	complemented
518	C₂²⋊Dic₆₇	C₂⁴	1	3	yes	complemented
519	C₂²⋊Dic₆₇	C₂⁴	1	3	yes	complemented
520	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
521	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
522	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
523	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
524	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
525	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
526	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
527	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
528	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
529	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
530	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
531	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	—
532	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	complemented
533	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	complemented
534	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	complemented
535	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	complemented
536	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	complemented
537	(C₂×D₆₇)⋊C₄	C₂⁴	1	6	yes	complemented
538	C₄×Dic₆₇	C₂⁴	1	3	yes	complemented
539	C₄×Dic₆₇	C₂⁴	1	6	yes	complemented
540	C₄×Dic₆₇	C₂⁴	1	6	yes	complemented
541	C₄×Dic₆₇	C₂⁴	1	3	yes	complemented
542	C₂⁴×C₆₇	—	4	6	no	—
543	C₂⁴×C₆₇	C₂⁴	1	3	yes	—
544	C₂⁴×C₆₇	C₂⁴	1	3	yes	—
545	C₂⁴×C₆₇	C₂⁴	1	3	yes	—
546	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
547	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic, complemented
548	#41×C₆₇	—	4	6	no	—
549	C₂×Q₈×C₆₇	C₂⁴	1	3	yes	complemented
550	C₂×D₄×C₆₇	—	4	6	no	—
551	C₂×D₄×C₆₇	—	4	12	no	—
552	C₂×D₄×C₆₇	—	4	6	no	—
553	C₂×D₄×C₆₇	C₂⁴	1	6	yes	—
554	C₂×D₄×C₆₇	C₂⁴	1	6	yes	—
555	C₂×D₄×C₆₇	C₂⁴	1	3	yes	—
556	C₂×D₄×C₆₇	C₂⁴	1	3	yes	—
557	C₂×D₄×C₆₇	C₂⁴	1	3	yes	—
558	C₂×D₄×C₆₇	C₂⁴	1	6	yes	—
559	C₂×D₄×C₆₇	C₂⁴	1	6	yes	—
560	C₂×D₄×C₆₇	C₂⁴	1	3	yes	—
561	C₂×D₄×C₆₇	C₂⁴	1	3	yes	complemented
562	C₂×D₄×C₆₇	C₂⁴	1	6	yes	complemented
563	C₂²×C₄×C₆₇	C₂⁴	1	3	yes	—
564	C₂²×C₄×C₆₇	C₂⁴	1	6	yes	—
565	C₂²×C₄×C₆₇	C₂⁴	1	6	yes	complemented
566	C₂²×C₄×C₆₇	C₂⁴	1	3	yes	complemented
567	C₄⋊C₄×C₆₇	C₂⁴	1	6	yes	complemented
568	C₄⋊C₄×C₆₇	C₂⁴	1	6	yes	complemented
569	C₄⋊C₄×C₆₇	C₂⁴	1	6	yes	complemented
570	C₂²⋊C₄×C₆₇	C₂⁴	1	6	yes	—
571	C₂²⋊C₄×C₆₇	C₂⁴	1	6	yes	—
572	C₂²⋊C₄×C₆₇	C₂⁴	1	3	yes	—
573	C₂²⋊C₄×C₆₇	C₂⁴	1	3	yes	—
574	C₂²⋊C₄×C₆₇	C₂⁴	1	6	yes	—
575	C₂²⋊C₄×C₆₇	C₂⁴	1	6	yes	—
576	C₂²⋊C₄×C₆₇	C₂⁴	1	6	yes	—
577	C₂²⋊C₄×C₆₇	C₂⁴	1	3	yes	complemented
578	C₂²⋊C₄×C₆₇	C₂⁴	1	3	yes	complemented
579	C₂²⋊C₄×C₆₇	C₂⁴	1	6	yes	complemented
580	C₂²⋊C₄×C₆₇	C₂⁴	1	6	yes	complemented
581	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic, complemented
582	C₄²×C₆₇	C₂⁴	1	3	yes	complemented
583	C₄²×C₆₇	C₂⁴	1	2	yes	complemented
584	C₂³×C₆₇	—	2	12	no	—
585	C₂³×C₆₇	—	2	6	no	—
586	C₂³×C₆₇	—	2	6	no	—
587	C₂³×C₆₇	—	4	3	no	—
588	C₂³×C₆₇	—	4	6	no	—
589	C₂³×C₆₇	—	4	3	no	—
590	C₂³×C₆₇	—	4	6	no	—
591	C₂³×C₆₇	—	4	3	no	—
592	C₂³×C₆₇	—	4	16	no	—
593	C₂³×C₆₇	C₂⁵	1	3	yes	—
594	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
595	C₂³×C₆₇	C₂⁵	1	3	yes	—
596	C₂³×C₆₇	C₂⁵	1	3	yes	—
597	C₂³×C₆₇	C₂⁵	1	3	yes	—
598	C₂²×D₆₇	—	2	6	no	—
599	C₂²×D₆₇	—	2	12	no	—
600	C₂²×D₆₇	—	2	12	no	—
601	C₂²×D₆₇	—	2	6	no	—
602	C₂²×D₆₇	—	2	12	no	—
603	C₂²×D₆₇	—	2	12	no	—
604	C₂²×D₆₇	—	2	12	no	—
605	C₂²×D₆₇	—	2	12	no	—
606	C₂²×D₆₇	—	2	12	no	—
607	C₂²×D₆₇	—	2	12	no	—
608	C₂²×D₆₇	—	2	12	no	—
609	C₂²×D₆₇	—	4	6	no	—
610	C₂²×D₆₇	—	4	6	no	—
611	C₂²×D₆₇	—	4	3	no	—
612	C₂²×D₆₇	—	4	6	no	—
613	C₂²×D₆₇	—	4	6	no	—
614	C₂²×D₆₇	—	4	6	no	—
615	C₂²×D₆₇	—	4	3	no	—
616	C₂²×D₆₇	—	4	6	no	—
617	C₂²×D₆₇	—	4	6	no	—
618	C₂²×D₆₇	—	4	6	no	—
619	C₂²×D₆₇	—	4	6	no	—
620	C₂²×D₆₇	—	4	6	no	—
621	C₂²×D₆₇	—	4	3	no	—
622	C₂²×D₆₇	—	4	6	no	—
623	C₂²×D₆₇	—	4	48	no	—
624	C₂²×D₆₇	—	4	96	no	—
625	C₂²×D₆₇	—	4	32	no	—
626	C₂²×D₆₇	—	4	48	no	—
627	C₂²×D₆₇	—	8	24	no	—
628	C₂²×D₆₇	H(5,𝔽₂)	1	12	yes	complemented
629	C₂²×D₆₇	C₂⁵	1	2	yes	—
630	C₂²×D₆₇	C₂⁵	1	6	yes	—
631	C₂²×D₆₇	C₂⁵	1	6	yes	—
632	Q₈×C₆₇	—	4	3	no	—
633	D₄×C₆₇	—	2	12	no	—
634	D₄×C₆₇	—	2	12	no	—
635	D₄×C₆₇	—	4	6	no	—
636	D₄×C₆₇	—	4	3	no	—
637	D₄×C₆₇	—	4	3	no	—
638	D₄×C₆₇	—	4	6	no	—
639	D₄×C₆₇	—	4	3	no	—
640	D₄×C₆₇	—	4	3	no	—
641	D₄×C₆₇	—	4	6	no	—
642	D₄×C₆₇	—	4	3	no	—
643	C₂×C₄×C₆₇	—	2	6	no	—
644	C₂×C₄×C₆₇	—	4	6	no	—
645	C₂×C₄×C₆₇	—	4	3	no	—
646	C₂×C₄×C₆₇	—	4	6	no	—
647	C₂×C₄×C₆₇	C₂⁵	1	3	yes	—
648	C₂×C₄×C₆₇	C₂⁵	1	6	yes	—
649	C₂×C₄×C₆₇	C₂⁵	1	6	yes	—
650	C₂×C₄×C₆₇	C₂⁵	1	3	yes	—
651	C₂²⋊D₆₇	—	2	12	no	—
652	C₂²⋊D₆₇	—	2	12	no	—
653	C₂²⋊D₆₇	—	2	12	no	—
654	C₂²⋊D₆₇	—	2	12	no	—
655	C₂²⋊D₆₇	—	2	12	no	—
656	C₂²⋊D₆₇	—	2	12	no	—
657	C₂²⋊D₆₇	—	4	6	no	—
658	C₂²⋊D₆₇	—	4	6	no	—
659	C₂²⋊D₆₇	—	4	6	no	—
660	C₂²⋊D₆₇	—	4	6	no	—
661	C₂²⋊D₆₇	—	4	6	no	—
662	C₂²⋊D₆₇	—	4	6	no	—
663	C₂²⋊D₆₇	—	4	6	no	—
664	C₂²⋊D₆₇	—	4	6	no	—
665	C₂²⋊D₆₇	—	4	6	no	—
666	C₂×Dic₆₇	—	2	6	no	—
667	C₂×Dic₆₇	—	4	6	no	—
668	C₂×Dic₆₇	—	4	3	no	—
669	C₂×Dic₆₇	—	4	6	no	—
670	C₂×Dic₆₇	C₂⁵	1	6	yes	—
671	C₂×Dic₆₇	C₂⁵	1	6	yes	—
672	C₂×Dic₆₇	C₂⁵	1	6	yes	—
673	D₂₆₈	—	2	12	no	—
674	D₂₆₈	—	2	12	no	—
675	D₂₆₈	—	2	12	no	—
676	D₂₆₈	—	2	12	no	—
677	D₂₆₈	—	4	6	no	—
678	D₂₆₈	—	4	6	no	—
679	D₂₆₈	—	4	6	no	—
680	D₂₆₈	—	4	3	no	—
681	C₄×D₆₇	—	2	12	no	—
682	C₄×D₆₇	—	2	12	no	—
683	C₄×D₆₇	—	4	6	no	—
684	C₄×D₆₇	—	4	6	no	—
685	C₄×D₆₇	—	4	6	no	—
686	C₄×D₆₇	—	4	6	no	—
687	C₄×D₆₇	—	4	6	no	—
688	C₄×D₆₇	—	4	6	no	—
689	C₄×D₆₇	—	4	6	no	—
690	Dic₁₃₄	—	4	6	no	—
691	Dic₁₃₄	—	4	3	no	—
692	C₂²×C₆₇	—	2	6	no	—
693	C₂²×C₆₇	—	2	3	no	—
694	C₂²×C₆₇	—	2	6	no	—
695	C₂²×C₆₇	—	2	3	no	—
696	C₂²×C₆₇	—	2	6	no	—
697	C₂²×C₆₇	—	2	3	no	—
698	C₂²×C₆₇	—	2	6	no	—
699	C₂²×C₆₇	—	2	3	no	—
700	C₂²×C₆₇	—	4	12	no	—
701	C₂²×C₆₇	—	4	12	no	—
702	C₂²×C₆₇	—	4	4	no	—
703	C₂²×C₆₇	—	8	6	no	—
704	C₂²×C₆₇	—	16	1	no	—
705	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	6	yes	—
706	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
707	C₂×D₆₇	—	2	24	no	—
708	C₂×D₆₇	—	2	6	no	—
709	C₂×D₆₇	—	2	6	no	—
710	C₂×D₆₇	—	2	6	no	—
711	C₂×D₆₇	—	2	6	no	—
712	C₂×D₆₇	—	2	6	no	—
713	C₂×D₆₇	—	2	6	no	—
714	C₂×D₆₇	—	4	12	no	—
715	C₂×D₆₇	—	4	12	no	—
716	C₂×D₆₇	—	4	24	no	—
717	C₂×D₆₇	—	4	24	no	—
718	C₂×D₆₇	—	4	24	no	—
719	C₂×D₆₇	—	4	4	no	—
720	C₂×D₆₇	—	8	12	no	—
721	C₂×D₆₇	—	8	12	no	—
722	C₂×D₆₇	—	8	6	no	—
723	C₂×D₆₇	—	16	3	no	—
724	C₂×D₆₇	C₂×H(5,𝔽₂)	1	12	yes	—
725	C₄×C₆₇	—	2	6	no	—
726	C₄×C₆₇	—	2	3	no	—
727	C₄×C₆₇	—	2	6	no	—
728	C₄×C₆₇	—	2	3	no	—
729	Dic₆₇	—	2	6	no	—
730	Dic₆₇	—	2	6	no	—
731	Dic₆₇	—	2	6	no	—
732	#62817	—	67	1	no	maximal, Sylow
733	C₂×C₆₇	—	2	6	no	—
734	C₂×C₆₇	—	4	1	no	—
735	C₂×C₆₇	—	4	3	no	—
736	C₂×C₆₇	—	4	3	no	—
737	C₂×C₆₇	—	4	3	no	—
738	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	3	yes	—
739	D₆₇	—	2	12	no	—
740	D₆₇	—	4	2	no	—
741	D₆₇	—	4	6	no	—
742	#3532	—	67	2	no	—
743	#3532	—	67	6	no	—
744	#3532	—	67	6	no	—
745	#3532	—	67	3	no	—
746	#3532	—	67	3	no	—
747	#3532	—	67	3	no	—
748	#3532	D₆₇	1	1	yes	characteristic, complemented
749	#3490	—	67	6	no	—
750	#3490	—	67	6	no	—
751	#3490	—	67	6	no	—
752	#3484	—	67	6	no	—
753	#3484	—	67	6	no	—
754	#3484	—	67	3	no	—
755	#3484	—	67	3	no	—
756	C₂²×#120	—	67	3	no	—
757	C₆₇	#62817	1	1	yes	characteristic, complemented, Sylow
758	C₂⁶	—	67	1	no	—
759	C₂×H(5,𝔽₂)	—	67	3	no	—
760	C₂×H(5,𝔽₂)	—	67	3	no	—
761	C₂³×D₄	—	67	3	no	—
762	C₂³×D₄	—	67	6	no	—
763	H(3,𝔽₄)	—	67	3	no	—
764	H(3,𝔽₄)	—	67	3	no	—
765	H(3,𝔽₄)	—	67	1	no	—
766	H(3,𝔽₄)	C₂×D₆₇	1	1	yes	characteristic, complemented
767	#560	—	67	1	no	—
768	#560	—	67	2	no	—
769	#560	—	67	3	no	—
770	#560	—	67	6	no	—
771	#560	—	67	6	no	—
772	#560	—	67	3	no	—
773	#560	C₂×D₆₇	1	3	yes	complemented
774	#551	—	67	6	no	—
775	#551	—	67	6	no	—
776	#551	—	67	6	no	—
777	#551	—	67	6	no	—
778	#551	—	67	3	no	—
779	#551	—	67	6	no	—
780	#551	—	67	6	no	—
781	#551	—	67	3	no	—
782	#551	—	67	6	no	—
783	#551	—	67	3	no	—
784	#551	—	67	6	no	—
785	#551	—	67	6	no	—
786	#551	—	67	6	no	—
787	#551	C₂×D₆₇	1	3	yes	complemented
788	#546	—	67	6	no	—
789	#546	—	67	6	no	—
790	#546	—	67	6	no	—
791	#546	—	67	6	no	—
792	#546	—	67	6	no	—
793	#546	—	67	6	no	—
794	#546	—	67	6	no	—
795	#546	—	67	6	no	—
796	#546	—	67	6	no	—
797	#546	—	67	6	no	—
798	#546	—	67	6	no	—
799	#546	—	67	6	no	—
800	#546	—	67	6	no	—
801	#546	—	67	6	no	—
802	#546	—	67	6	no	—
803	#546	—	67	6	no	—
804	#546	—	67	6	no	—
805	#546	—	67	6	no	—
806	#546	—	67	6	no	—
807	#546	—	67	6	no	—
808	#546	—	67	6	no	—
809	#546	—	67	6	no	—
810	#546	—	67	6	no	—
811	#546	C₂×D₆₇	1	6	yes	complemented
812	D₄²	—	67	6	no	—
813	D₄²	—	67	6	no	—
814	D₄²	—	67	6	no	—
815	D₄²	—	67	3	no	—
816	D₄²	—	67	6	no	—
817	D₄²	—	67	6	no	—
818	D₄²	—	67	6	no	—
819	D₄²	—	67	6	no	—
820	D₄²	—	67	3	no	—
821	D₄²	—	67	6	no	—
822	D₄²	—	67	6	no	—
823	D₄²	—	67	3	no	—
824	D₄²	—	67	6	no	—
825	D₄²	C₂×D₆₇	1	3	yes	complemented
826	#543	—	67	6	no	—
827	#538	—	67	6	no	—
828	#538	—	67	6	no	—
829	#538	—	67	6	no	—
830	#538	—	67	6	no	—
831	#538	—	67	6	no	—
832	#538	—	67	6	no	—
833	#538	—	67	6	no	—
834	#538	—	67	6	no	—
835	#538	—	67	6	no	—
836	#538	—	67	6	no	—
837	#538	—	67	6	no	—
838	#538	C₂×D₆₇	1	6	yes	complemented
839	#535	—	67	3	no	—
840	#535	—	67	6	no	—
841	#535	—	67	6	no	—
842	#535	—	67	6	no	—
843	#535	—	67	6	no	—
844	#535	—	67	6	no	—
845	#535	C₂×D₆₇	1	3	yes	complemented
846	#534	—	67	3	no	—
847	#534	—	67	6	no	—
848	#534	—	67	6	no	—
849	#534	—	67	6	no	—
850	#534	—	67	6	no	—
851	#534	—	67	6	no	—
852	#534	—	67	6	no	—
853	#534	—	67	6	no	—
854	#534	—	67	6	no	—
855	#534	C₂×D₆₇	1	3	yes	complemented
856	#525	—	67	3	no	—
857	#525	—	67	6	no	—
858	#525	—	67	6	no	—
859	#525	—	67	6	no	—
860	#525	—	67	6	no	—
861	#525	—	67	6	no	—
862	#525	—	67	3	no	—
863	C₂×#120	—	67	3	no	—
864	C₂×#120	—	67	6	no	—
865	C₂×#120	—	67	3	no	—
866	C₂×#120	—	67	3	no	—
867	C₂×#120	—	67	6	no	—
868	C₂×#120	—	67	6	no	—
869	C₂×#120	—	67	6	no	—
870	C₂×#120	—	67	6	no	—
871	C₂×#120	—	67	6	no	—
872	C₂×#120	—	67	6	no	—
873	C₂×#120	—	67	6	no	—
874	C₂×#120	—	67	6	no	—
875	C₂×#120	—	67	6	no	—
876	C₂×#120	—	67	6	no	—
877	C₂×#120	—	67	3	no	—
878	C₂×#120	—	67	3	no	—
879	C₂×#120	C₂×D₆₇	1	3	yes	complemented
880	#518	—	67	6	no	—
881	#518	—	67	6	no	—
882	#518	—	67	3	no	—
883	#518	—	67	3	no	—
884	C₂²×C₂²⋊C₄	—	67	3	no	—
885	C₂²×C₂²⋊C₄	—	67	6	no	—
886	C₂⁵	—	268	12	no	—
887	C₂⁵	—	67	3	no	—
888	C₂⁵	—	67	2	no	—
889	C₂⁵	—	67	3	no	—
890	C₂⁵	—	67	6	no	—
891	C₂⁵	—	67	3	no	—
892	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
893	H(5,𝔽₂)	—	268	12	no	—
894	H(5,𝔽₂)	—	268	12	no	—
895	C₂×#41	—	67	6	no	—
896	C₂×#41	—	67	6	no	—
897	C₂×#41	—	67	6	no	—
898	C₂×#41	—	67	3	no	—
899	C₂×#41	—	67	6	no	—
900	C₂×#41	—	67	6	no	—
901	C₂×#41	C₂²×D₆₇	1	3	yes	complemented
902	C₂²×D₄	—	268	12	no	—
903	C₂²×D₄	—	268	24	no	—
904	C₂²×D₄	—	67	3	no	—
905	C₂²×D₄	—	67	6	no	—
906	C₂²×D₄	—	67	6	no	—
907	C₂²×D₄	—	67	3	no	—
908	C₂²×D₄	—	67	6	no	—
909	C₂²×D₄	—	67	6	no	—
910	C₂²×D₄	—	67	6	no	—
911	C₂²×D₄	—	67	6	no	—
912	C₂²×D₄	—	67	6	no	—
913	C₂²×D₄	—	67	6	no	—
914	C₂²×D₄	—	67	6	no	—
915	C₂²×D₄	—	67	6	no	—
916	C₂²×D₄	—	67	6	no	—
917	C₂²×D₄	—	67	6	no	—
918	C₂²×D₄	—	67	6	no	—
919	C₂²×D₄	—	67	6	no	—
920	C₂²×D₄	—	67	6	no	—
921	C₂²×D₄	—	67	6	no	—
922	C₂²×D₄	—	67	3	no	—
923	C₂²×D₄	—	67	6	no	—
924	C₂²×D₄	—	67	6	no	—
925	C₂²×D₄	—	67	6	no	—
926	C₂²×D₄	—	67	3	no	—
927	C₂²×D₄	—	67	6	no	—
928	C₂²×D₄	C₂²×D₆₇	1	3	yes	complemented
929	C₂²×D₄	C₂²×D₆₇	1	6	yes	complemented
930	C₂²×D₄	C₂²×D₆₇	1	3	yes	complemented
931	C₂³×C₄	—	67	3	no	—
932	C₂³×C₄	—	67	6	no	—
933	#127	—	67	3	no	—
934	#127	—	67	6	no	—
935	#127	—	67	3	no	—
936	#127	—	67	6	no	—
937	#127	—	67	2	no	—
938	#127	C₂²×D₆₇	1	3	yes	complemented
939	#127	C₂²×D₆₇	1	1	yes	characteristic, complemented
940	#126	—	67	6	no	—
941	#126	—	67	6	no	—
942	#126	—	67	6	no	—
943	#126	—	67	6	no	—
944	#126	—	67	6	no	—
945	#126	—	67	6	no	—
946	#126	—	67	2	no	—
947	#126	—	67	2	no	—
948	#126	C₂²×D₆₇	1	6	yes	complemented
949	#126	C₂²×D₆₇	1	2	yes	complemented
950	#124	—	67	6	no	—
951	#124	—	67	3	no	—
952	#124	—	67	6	no	—
953	#124	—	67	3	no	—
954	#124	—	67	6	no	—
955	#124	—	67	6	no	—
956	#124	—	67	6	no	—
957	#124	—	67	6	no	—
958	#124	—	67	6	no	—
959	#124	—	67	6	no	—
960	#124	—	67	6	no	—
961	#124	C₂²×D₆₇	1	6	yes	complemented
962	#124	C₂²×D₆₇	1	3	yes	complemented
963	#124	C₂²×D₆₇	1	3	yes	complemented
964	#123	—	67	6	no	—
965	#123	—	67	3	no	—
966	#123	—	67	3	no	—
967	#123	—	67	6	no	—
968	#123	—	67	6	no	—
969	#123	—	67	6	no	—
970	#123	—	67	6	no	—
971	#123	—	67	6	no	—
972	#123	—	67	6	no	—
973	#123	—	67	6	no	—
974	#123	—	67	6	no	—
975	#123	—	67	6	no	—
976	#123	—	67	6	no	—
977	#123	—	67	6	no	—
978	#123	—	67	6	no	—
979	#123	—	67	6	no	—
980	#123	—	67	6	no	—
981	#123	—	67	6	no	—
982	#123	—	67	6	no	—
983	#123	—	67	6	no	—
984	#123	—	67	6	no	—
985	#123	—	67	6	no	—
986	#123	C₂²×D₆₇	1	6	yes	complemented
987	#123	C₂²×D₆₇	1	3	yes	complemented
988	#123	C₂²×D₆₇	1	3	yes	complemented
989	#123	C₂²×D₆₇	1	6	yes	complemented
990	C₂²⋊Q₈	—	67	6	no	—
991	C₂²⋊Q₈	—	67	6	no	—
992	C₂²⋊Q₈	—	67	6	no	—
993	C₂²⋊Q₈	—	67	6	no	—
994	C₂²⋊Q₈	—	67	6	no	—
995	C₂²⋊Q₈	—	67	6	no	—
996	C₂²⋊Q₈	—	67	6	no	—
997	C₂²⋊Q₈	—	67	6	no	—
998	C₂²⋊Q₈	—	67	6	no	—
999	C₂²⋊Q₈	—	67	6	no	—
1000	C₂²⋊Q₈	—	67	6	no	—
1001	C₂²⋊Q₈	C₂²×D₆₇	1	6	yes	complemented
1002	#121	—	67	6	no	—
1003	#121	—	67	6	no	—
1004	#121	—	67	6	no	—
1005	#121	—	67	6	no	—
1006	#121	—	67	6	no	—
1007	#121	—	67	6	no	—
1008	#121	—	67	6	no	—
1009	#121	—	67	6	no	—
1010	#121	—	67	6	no	—
1011	#121	—	67	6	no	—
1012	#121	—	67	6	no	—
1013	#121	—	67	6	no	—
1014	#121	—	67	6	no	—
1015	#121	—	67	6	no	—
1016	#121	—	67	6	no	—
1017	#121	—	67	6	no	—
1018	#121	—	67	6	no	—
1019	#121	—	67	6	no	—
1020	#121	—	67	6	no	—
1021	#121	—	67	6	no	—
1022	#121	—	67	6	no	—
1023	#121	—	67	6	no	—
1024	#121	—	67	6	no	—
1025	#121	—	67	6	no	—
1026	#121	—	67	6	no	—
1027	#121	—	67	6	no	—
1028	#121	—	67	6	no	—
1029	#121	—	67	6	no	—
1030	#121	—	67	6	no	—
1031	#121	—	67	6	no	—
1032	#121	—	67	6	no	—
1033	#121	C₂²×D₆₇	1	6	yes	complemented
1034	#121	C₂²×D₆₇	1	6	yes	complemented
1035	#121	C₂²×D₆₇	1	6	yes	complemented
1036	#121	C₂²×D₆₇	1	6	yes	complemented
1037	#121	C₂²×D₆₇	1	6	yes	complemented
1038	#120	—	67	6	no	—
1039	#120	—	67	6	no	—
1040	#120	—	67	6	no	—
1041	#120	—	67	6	no	—
1042	#120	—	67	6	no	—
1043	#120	—	67	2	no	—
1044	#120	—	67	6	no	—
1045	#120	—	67	6	no	—
1046	#120	—	67	6	no	—
1047	#120	—	67	6	no	—
1048	#120	—	67	6	no	—
1049	#120	—	67	6	no	—
1050	#120	—	67	6	no	—
1051	#120	—	67	6	no	—
1052	#120	—	67	3	no	—
1053	#120	—	67	6	no	—
1054	#120	—	67	6	no	—
1055	#120	—	67	3	no	—
1056	#120	—	67	3	no	—
1057	#120	—	67	3	no	—
1058	#120	—	67	6	no	—
1059	#120	—	67	3	no	—
1060	#120	—	67	3	no	—
1061	#120	—	67	6	no	—
1062	#120	—	67	6	no	—
1063	#120	—	67	6	no	—
1064	#120	—	67	6	no	—
1065	#120	—	67	6	no	—
1066	#120	—	67	6	no	—
1067	#120	—	67	6	no	—
1068	#120	—	67	6	no	—
1069	#120	—	67	6	no	—
1070	#120	—	67	6	no	—
1071	#120	—	67	6	no	—
1072	#120	—	67	6	no	—
1073	#120	—	67	6	no	—
1074	#120	—	67	6	no	—
1075	#120	—	67	6	no	—
1076	#120	—	67	6	no	—
1077	#120	—	67	6	no	—
1078	#120	—	67	6	no	—
1079	#120	—	67	6	no	—
1080	#120	—	67	6	no	—
1081	#120	—	67	6	no	—
1082	#120	—	67	6	no	—
1083	#120	—	67	6	no	—
1084	#120	C₂²×D₆₇	1	3	yes	—
1085	#120	C₂²×D₆₇	1	3	yes	—
1086	#120	C₂²×D₆₇	1	6	yes	complemented
1087	#120	C₂²×D₆₇	1	6	yes	complemented
1088	#120	C₂²×D₆₇	1	3	yes	complemented
1089	#120	C₂²×D₆₇	1	3	yes	complemented
1090	#120	C₂²×D₆₇	1	6	yes	complemented
1091	#120	C₂²×D₆₇	1	3	yes	complemented
1092	#120	C₂²×D₆₇	1	1	yes	characteristic, complemented
1093	C₄×D₄	—	67	6	no	—
1094	C₄×D₄	—	67	6	no	—
1095	C₄×D₄	—	67	6	no	—
1096	C₄×D₄	—	67	6	no	—
1097	C₄×D₄	—	67	6	no	—
1098	C₄×D₄	—	67	6	no	—
1099	C₄×D₄	—	67	6	no	—
1100	C₄×D₄	—	67	6	no	—
1101	C₄×D₄	—	67	6	no	—
1102	C₄×D₄	—	67	6	no	—
1103	C₄×D₄	—	67	6	no	—
1104	C₄×D₄	—	67	6	no	—
1105	C₄×D₄	—	67	6	no	—
1106	C₄×D₄	—	67	6	no	—
1107	C₄×D₄	—	67	6	no	—
1108	C₄×D₄	—	67	6	no	—
1109	C₄×D₄	—	67	6	no	—
1110	C₄×D₄	—	67	6	no	—
1111	C₄×D₄	—	67	6	no	—
1112	C₄×D₄	—	67	6	no	—
1113	C₄×D₄	—	67	6	no	—
1114	C₄×D₄	—	67	6	no	—
1115	C₄×D₄	C₂²×D₆₇	1	6	yes	complemented
1116	C₄×D₄	C₂²×D₆₇	1	6	yes	complemented
1117	#117	—	67	3	no	—
1118	#117	—	67	6	no	—
1119	#117	—	67	6	no	—
1120	#117	—	67	6	no	—
1121	#117	—	67	6	no	—
1122	#117	—	67	6	no	—
1123	#117	C₂²×D₆₇	1	3	yes	complemented
1124	C₂×C₂²⋊C₄	—	67	3	no	—
1125	C₂×C₂²⋊C₄	—	67	6	no	—
1126	C₂×C₂²⋊C₄	—	67	3	no	—
1127	C₂×C₂²⋊C₄	—	67	6	no	—
1128	C₂×C₂²⋊C₄	—	67	6	no	—
1129	C₂×C₂²⋊C₄	—	67	6	no	—
1130	C₂×C₂²⋊C₄	—	67	6	no	—
1131	C₂×C₂²⋊C₄	—	67	6	no	—
1132	C₂×C₂²⋊C₄	—	67	6	no	—
1133	C₂×C₂²⋊C₄	—	67	6	no	—
1134	C₂×C₂²⋊C₄	—	67	6	no	—
1135	C₂×C₂²⋊C₄	—	67	6	no	—
1136	C₂×C₂²⋊C₄	—	67	6	no	—
1137	C₂×C₂²⋊C₄	—	67	6	no	—
1138	C₂×C₂²⋊C₄	—	67	6	no	—
1139	C₂×C₂²⋊C₄	—	67	6	no	—
1140	C₂×C₂²⋊C₄	—	67	6	no	—
1141	C₂×C₂²⋊C₄	—	67	6	no	—
1142	C₂×C₂²⋊C₄	—	67	6	no	—
1143	C₂×C₂²⋊C₄	—	67	6	no	—
1144	C₂×C₂²⋊C₄	—	67	6	no	—
1145	C₂×C₂²⋊C₄	—	67	6	no	—
1146	C₂×C₂²⋊C₄	—	67	6	no	—
1147	C₂×C₂²⋊C₄	C₂²×D₆₇	1	3	yes	complemented
1148	C₂×C₂²⋊C₄	C₂²×D₆₇	1	6	yes	complemented
1149	C₂×C₂²⋊C₄	C₂²×D₆₇	1	3	yes	complemented
1150	C₂⁴	—	4	6	no	—
1151	C₂⁴	—	268	6	no	—
1152	C₂⁴	—	268	12	no	—
1153	C₂⁴	—	268	6	no	—
1154	C₂⁴	—	268	64	no	—
1155	C₂⁴	—	268	12	no	—
1156	C₂⁴	—	268	12	no	—
1157	C₂⁴	—	268	12	no	—
1158	C₂⁴	—	268	12	no	—
1159	C₂⁴	—	268	12	no	—
1160	C₂⁴	—	67	1	no	—
1161	C₂⁴	—	67	3	no	—
1162	C₂⁴	—	67	3	no	—
1163	C₂⁴	—	67	6	no	—
1164	C₂⁴	—	67	6	no	—
1165	C₂⁴	—	67	6	no	—
1166	C₂⁴	—	67	3	no	—
1167	C₂⁴	—	67	6	no	—
1168	C₂⁴	—	67	3	no	—
1169	C₂⁴	—	67	6	no	—
1170	C₂⁴	—	67	3	no	—
1171	C₂⁴	—	134	12	no	—
1172	C₂⁴	—	134	24	no	—
1173	C₂⁴	C₂³×D₆₇	1	3	yes	—
1174	C₂⁴	C₂³×D₆₇	1	3	yes	—
1175	C₂⁴	C₂³×D₆₇	1	3	yes	—
1176	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1177	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic, complemented
1178	#41	—	4	6	no	—
1179	#41	—	268	6	no	—
1180	#41	—	268	12	no	—
1181	#41	—	268	12	no	—
1182	#41	—	268	12	no	—
1183	#41	—	268	12	no	—
1184	#41	—	268	12	no	—
1185	C₂×Q₈	—	67	3	no	—
1186	C₂×Q₈	—	67	6	no	—
1187	C₂×Q₈	C₂³×D₆₇	1	3	yes	complemented
1188	C₂×D₄	—	4	6	no	—
1189	C₂×D₄	—	4	12	no	—
1190	C₂×D₄	—	4	6	no	—
1191	C₂×D₄	—	268	12	no	—
1192	C₂×D₄	—	268	12	no	—
1193	C₂×D₄	—	268	12	no	—
1194	C₂×D₄	—	268	12	no	—
1195	C₂×D₄	—	268	12	no	—
1196	C₂×D₄	—	268	12	no	—
1197	C₂×D₄	—	268	12	no	—
1198	C₂×D₄	—	268	12	no	—
1199	C₂×D₄	—	268	12	no	—
1200	C₂×D₄	—	268	12	no	—
1201	C₂×D₄	—	268	12	no	—
1202	C₂×D₄	—	268	12	no	—
1203	C₂×D₄	—	268	12	no	—
1204	C₂×D₄	—	268	12	no	—
1205	C₂×D₄	—	268	6	no	—
1206	C₂×D₄	—	268	12	no	—
1207	C₂×D₄	—	268	12	no	—
1208	C₂×D₄	—	268	12	no	—
1209	C₂×D₄	—	268	12	no	—
1210	C₂×D₄	—	268	6	no	—
1211	C₂×D₄	—	67	6	no	—
1212	C₂×D₄	—	67	6	no	—
1213	C₂×D₄	—	67	6	no	—
1214	C₂×D₄	—	67	6	no	—
1215	C₂×D₄	—	67	6	no	—
1216	C₂×D₄	—	67	6	no	—
1217	C₂×D₄	—	67	6	no	—
1218	C₂×D₄	—	67	6	no	—
1219	C₂×D₄	—	67	6	no	—
1220	C₂×D₄	—	67	6	no	—
1221	C₂×D₄	—	67	6	no	—
1222	C₂×D₄	—	67	6	no	—
1223	C₂×D₄	—	67	6	no	—
1224	C₂×D₄	—	67	6	no	—
1225	C₂×D₄	—	67	6	no	—
1226	C₂×D₄	—	67	6	no	—
1227	C₂×D₄	—	67	6	no	—
1228	C₂×D₄	—	67	3	no	—
1229	C₂×D₄	—	67	6	no	—
1230	C₂×D₄	—	67	6	no	—
1231	C₂×D₄	—	67	6	no	—
1232	C₂×D₄	—	67	6	no	—
1233	C₂×D₄	—	67	6	no	—
1234	C₂×D₄	—	134	12	no	—
1235	C₂×D₄	—	134	24	no	—
1236	C₂×D₄	—	134	24	no	—
1237	C₂×D₄	—	134	12	no	—
1238	C₂×D₄	C₂³×D₆₇	1	6	yes	—
1239	C₂×D₄	C₂³×D₆₇	1	6	yes	—
1240	C₂×D₄	C₂³×D₆₇	1	3	yes	—
1241	C₂×D₄	C₂³×D₆₇	1	3	yes	—
1242	C₂×D₄	C₂³×D₆₇	1	6	yes	—
1243	C₂×D₄	C₂³×D₆₇	1	3	yes	—
1244	C₂×D₄	C₂³×D₆₇	1	6	yes	—
1245	C₂×D₄	C₂³×D₆₇	1	3	yes	—
1246	C₂×D₄	C₂³×D₆₇	1	6	yes	complemented
1247	C₂×D₄	C₂³×D₆₇	1	3	yes	complemented
1248	C₂²×C₄	—	268	6	no	—
1249	C₂²×C₄	—	268	12	no	—
1250	C₂²×C₄	—	67	6	no	—
1251	C₂²×C₄	—	67	3	no	—
1252	C₂²×C₄	—	67	6	no	—
1253	C₂²×C₄	—	67	6	no	—
1254	C₂²×C₄	—	67	6	no	—
1255	C₂²×C₄	—	67	6	no	—
1256	C₂²×C₄	—	67	6	no	—
1257	C₂²×C₄	—	67	6	no	—
1258	C₂²×C₄	—	67	6	no	—
1259	C₂²×C₄	—	67	6	no	—
1260	C₂²×C₄	—	67	3	no	—
1261	C₂²×C₄	—	67	6	no	—
1262	C₂²×C₄	—	67	6	no	—
1263	C₂²×C₄	C₂³×D₆₇	1	3	yes	—
1264	C₂²×C₄	C₂³×D₆₇	1	6	yes	—
1265	C₂²×C₄	C₂³×D₆₇	1	3	yes	complemented
1266	C₂²×C₄	C₂³×D₆₇	1	6	yes	complemented
1267	C₄⋊C₄	—	67	6	no	—
1268	C₄⋊C₄	—	67	6	no	—
1269	C₄⋊C₄	—	67	6	no	—
1270	C₄⋊C₄	—	67	6	no	—
1271	C₄⋊C₄	—	67	6	no	—
1272	C₄⋊C₄	—	67	6	no	—
1273	C₄⋊C₄	—	67	6	no	—
1274	C₄⋊C₄	—	67	6	no	—
1275	C₄⋊C₄	—	67	6	no	—
1276	C₄⋊C₄	C₂³×D₆₇	1	6	yes	complemented
1277	C₄⋊C₄	C₂³×D₆₇	1	6	yes	complemented
1278	C₄⋊C₄	C₂³×D₆₇	1	6	yes	complemented
1279	C₂²⋊C₄	—	67	6	no	—
1280	C₂²⋊C₄	—	67	6	no	—
1281	C₂²⋊C₄	—	67	3	no	—
1282	C₂²⋊C₄	—	67	3	no	—
1283	C₂²⋊C₄	—	67	6	no	—
1284	C₂²⋊C₄	—	67	6	no	—
1285	C₂²⋊C₄	—	67	6	no	—
1286	C₂²⋊C₄	—	67	3	no	—
1287	C₂²⋊C₄	—	67	3	no	—
1288	C₂²⋊C₄	—	67	6	no	—
1289	C₂²⋊C₄	—	67	6	no	—
1290	C₂²⋊C₄	—	67	6	no	—
1291	C₂²⋊C₄	—	67	6	no	—
1292	C₂²⋊C₄	—	67	6	no	—
1293	C₂²⋊C₄	—	67	6	no	—
1294	C₂²⋊C₄	—	67	6	no	—
1295	C₂²⋊C₄	—	67	6	no	—
1296	C₂²⋊C₄	—	67	6	no	—
1297	C₂²⋊C₄	—	67	6	no	—
1298	C₂²⋊C₄	—	67	6	no	—
1299	C₂²⋊C₄	—	67	6	no	—
1300	C₂²⋊C₄	—	67	6	no	—
1301	C₂²⋊C₄	—	67	6	no	—
1302	C₂²⋊C₄	—	67	6	no	—
1303	C₂²⋊C₄	—	67	6	no	—
1304	C₂²⋊C₄	—	67	6	no	—
1305	C₂²⋊C₄	—	67	6	no	—
1306	C₂²⋊C₄	—	67	6	no	—
1307	C₂²⋊C₄	—	67	6	no	—
1308	C₂²⋊C₄	C₂³×D₆₇	1	6	yes	—
1309	C₂²⋊C₄	C₂³×D₆₇	1	6	yes	—
1310	C₂²⋊C₄	C₂³×D₆₇	1	3	yes	—
1311	C₂²⋊C₄	C₂³×D₆₇	1	3	yes	—
1312	C₂²⋊C₄	C₂³×D₆₇	1	6	yes	—
1313	C₂²⋊C₄	C₂³×D₆₇	1	6	yes	—
1314	C₂²⋊C₄	C₂³×D₆₇	1	6	yes	—
1315	C₂²⋊C₄	C₂³×D₆₇	1	6	yes	complemented
1316	C₂²⋊C₄	C₂³×D₆₇	1	6	yes	complemented
1317	C₂²⋊C₄	C₂³×D₆₇	1	3	yes	complemented
1318	C₂²⋊C₄	C₂³×D₆₇	1	3	yes	complemented
1319	C₄²	—	67	3	no	—
1320	C₄²	—	67	3	no	—
1321	C₄²	—	67	6	no	—
1322	C₄²	—	67	6	no	—
1323	C₄²	C₂³×D₆₇	1	2	yes	complemented
1324	C₄²	C₂³×D₆₇	1	3	yes	complemented
1325	C₄²	C₂³×D₆₇	1	1	yes	characteristic, complemented
1326	C₂³	—	2	12	no	—
1327	C₂³	—	2	6	no	—
1328	C₂³	—	2	6	no	—
1329	C₂³	—	4	3	no	—
1330	C₂³	—	4	6	no	—
1331	C₂³	—	4	3	no	—
1332	C₂³	—	4	6	no	—
1333	C₂³	—	4	3	no	—
1334	C₂³	—	4	16	no	—
1335	C₂³	—	268	6	no	—
1336	C₂³	—	268	6	no	—
1337	C₂³	—	268	3	no	—
1338	C₂³	—	268	6	no	—
1339	C₂³	—	268	6	no	—
1340	C₂³	—	268	6	no	—
1341	C₂³	—	268	3	no	—
1342	C₂³	—	268	6	no	—
1343	C₂³	—	268	6	no	—
1344	C₂³	—	268	6	no	—
1345	C₂³	—	268	6	no	—
1346	C₂³	—	268	6	no	—
1347	C₂³	—	268	6	no	—
1348	C₂³	—	268	3	no	—
1349	C₂³	—	268	48	no	—
1350	C₂³	—	268	32	no	—
1351	C₂³	—	268	96	no	—
1352	C₂³	—	268	48	no	—
1353	C₂³	—	536	24	no	—
1354	C₂³	—	67	12	no	—
1355	C₂³	—	67	6	no	—
1356	C₂³	—	67	2	no	—
1357	C₂³	—	67	6	no	—
1358	C₂³	—	134	12	no	—
1359	C₂³	—	134	12	no	—
1360	C₂³	—	134	12	no	—
1361	C₂³	—	134	12	no	—
1362	C₂³	—	134	12	no	—
1363	C₂³	—	134	12	no	—
1364	C₂³	—	134	12	no	—
1365	C₂³	—	134	12	no	—
1366	C₂³	—	134	12	no	—
1367	C₂³	—	134	6	no	—
1368	C₂³	—	134	6	no	—
1369	C₂³	C₂⁴×D₆₇	1	3	yes	—
1370	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1371	C₂³	C₂⁴×D₆₇	1	3	yes	—
1372	C₂³	C₂⁴×D₆₇	1	3	yes	—
1373	C₂³	C₂⁴×D₆₇	1	3	yes	—
1374	Q₈	—	4	3	no	—
1375	Q₈	—	268	3	no	—
1376	Q₈	—	268	6	no	—
1377	D₄	—	2	12	no	—
1378	D₄	—	2	12	no	—
1379	D₄	—	4	3	no	—
1380	D₄	—	4	3	no	—
1381	D₄	—	4	3	no	—
1382	D₄	—	4	3	no	—
1383	D₄	—	4	6	no	—
1384	D₄	—	4	6	no	—
1385	D₄	—	4	6	no	—
1386	D₄	—	4	3	no	—
1387	D₄	—	268	6	no	—
1388	D₄	—	268	6	no	—
1389	D₄	—	268	3	no	—
1390	D₄	—	268	6	no	—
1391	D₄	—	268	6	no	—
1392	D₄	—	268	6	no	—
1393	D₄	—	268	6	no	—
1394	D₄	—	268	6	no	—
1395	D₄	—	268	6	no	—
1396	D₄	—	268	6	no	—
1397	D₄	—	268	6	no	—
1398	D₄	—	268	6	no	—
1399	D₄	—	268	6	no	—
1400	D₄	—	134	12	no	—
1401	D₄	—	134	12	no	—
1402	D₄	—	134	12	no	—
1403	D₄	—	134	12	no	—
1404	D₄	—	134	12	no	—
1405	D₄	—	134	12	no	—
1406	D₄	—	134	12	no	—
1407	D₄	—	134	12	no	—
1408	D₄	—	134	12	no	—
1409	D₄	—	134	12	no	—
1410	C₂×C₄	—	2	6	no	—
1411	C₂×C₄	—	4	6	no	—
1412	C₂×C₄	—	4	3	no	—
1413	C₂×C₄	—	4	6	no	—
1414	C₂×C₄	—	268	6	no	—
1415	C₂×C₄	—	268	6	no	—
1416	C₂×C₄	—	268	6	no	—
1417	C₂×C₄	—	268	6	no	—
1418	C₂×C₄	—	268	6	no	—
1419	C₂×C₄	—	268	6	no	—
1420	C₂×C₄	—	268	6	no	—
1421	C₂×C₄	—	268	6	no	—
1422	C₂×C₄	—	268	6	no	—
1423	C₂×C₄	—	268	3	no	—
1424	C₂×C₄	—	67	6	no	—
1425	C₂×C₄	—	67	6	no	—
1426	C₂×C₄	—	67	6	no	—
1427	C₂×C₄	—	134	12	no	—
1428	C₂×C₄	—	134	12	no	—
1429	C₂×C₄	—	134	6	no	—
1430	C₂×C₄	C₂⁴×D₆₇	1	3	yes	—
1431	C₂×C₄	C₂⁴×D₆₇	1	6	yes	—
1432	C₂×C₄	C₂⁴×D₆₇	1	6	yes	—
1433	C₂×C₄	C₂⁴×D₆₇	1	3	yes	—
1434	C₂²	—	2	6	no	—
1435	C₂²	—	2	6	no	—
1436	C₂²	—	2	3	no	—
1437	C₂²	—	2	6	no	—
1438	C₂²	—	2	3	no	—
1439	C₂²	—	2	3	no	—
1440	C₂²	—	2	6	no	—
1441	C₂²	—	2	3	no	—
1442	C₂²	—	4	12	no	—
1443	C₂²	—	4	12	no	—
1444	C₂²	—	4	4	no	—
1445	C₂²	—	8	6	no	—
1446	C₂²	—	268	24	no	—
1447	C₂²	—	268	12	no	—
1448	C₂²	—	268	4	no	—
1449	C₂²	—	268	24	no	—
1450	C₂²	—	268	24	no	—
1451	C₂²	—	268	12	no	—
1452	C₂²	—	16	1	no	—
1453	C₂²	—	536	6	no	—
1454	C₂²	—	536	12	no	—
1455	C₂²	—	536	12	no	—
1456	C₂²	—	1072	3	no	—
1457	C₂²	—	67	12	no	—
1458	C₂²	—	134	24	no	—
1459	C₂²	—	134	6	no	—
1460	C₂²	—	134	6	no	—
1461	C₂²	—	134	6	no	—
1462	C₂²	—	134	6	no	—
1463	C₂²	—	134	6	no	—
1464	C₂²	—	134	6	no	—
1465	C₂²	H(5,𝔽₂)×D₆₇	1	6	yes	—
1466	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1467	C₄	—	2	3	no	—
1468	C₄	—	2	3	no	—
1469	C₄	—	2	6	no	—
1470	C₄	—	2	6	no	—
1471	C₄	—	134	6	no	—
1472	C₄	—	134	6	no	—
1473	C₄	—	134	6	no	—
1474	C₂	—	2	6	no	—
1475	C₂	—	4	3	no	—
1476	C₂	—	4	1	no	—
1477	C₂	—	4	3	no	—
1478	C₂	—	4	3	no	—
1479	C₂	—	268	2	no	—
1480	C₂	—	268	6	no	—
1481	C₂	—	134	12	no	—
1482	C₂	C₂×H(5,𝔽₂)×D₆₇	1	3	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3532	C₂
hypercenter	#3532	D₆₇
hypocenter	C₆₇	#62817
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3532

Complements

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

N	H ≅ G/N	type
1. #22574366	C₂	semidirect
2. #22574364	C₂	semidirect
3. #22574363	C₂	semidirect
4. #22574362	C₂	semidirect
5. #22574361	C₂	semidirect
6. #22574360	C₂	semidirect
7. #22573895	C₂	semidirect
8. #22573893	C₂	semidirect
9. #22573891	C₂	semidirect
10. #22573843	C₂	semidirect
11. #22573841	C₂	semidirect
12. #22573839	C₂	semidirect
13. #22573837	C₂	semidirect
14. C₂×#120×D₆₇	C₂	semidirect
15. C₆₇×#3532	C₂	semidirect
16. C₂⁵×D₆₇	C₂²	semidirect
17. C₂×#14524089	C₂²	semidirect
18. C₂×#14524088	C₂²	semidirect
19. C₂²×D₄×D₆₇	C₂²	semidirect
20. C₂²×D₄×D₆₇	C₂²	semidirect
21. #16864139	C₂²	semidirect
22. #16864139	C₂²	semidirect
23. #16864138	C₂²	semidirect
24. #16864137	C₂²	semidirect
25. #16864136	C₂²	semidirect
26. #16864135	C₂²	semidirect
27. #16864135	C₂²	semidirect
28. #16864134	C₂²	semidirect
29. #16864133	C₂²	semidirect
30. #16864077	C₂²	semidirect
31. #16864076	C₂²	semidirect
32. #16864076	C₂²	semidirect
33. #16864075	C₂²	semidirect
34. #16864074	C₂²	semidirect
35. #16864074	C₂²	semidirect
36. #16864073	C₂²	semidirect
37. #16864072	C₂²	semidirect
38. #16864071	C₂²	semidirect
39. #16864071	C₂²	semidirect
40. #16864071	C₂²	semidirect
41. #16864070	C₂²	semidirect
42. #16864069	C₂²	semidirect
43. #16864043	C₂²	semidirect
44. #16864043	C₂²	semidirect
45. #16864043	C₂²	semidirect
46. #16864042	C₂²	semidirect
47. #16864041	C₂²	semidirect
48. #16864040	C₂²	semidirect
49. #16864039	C₂²	semidirect
50. #16864039	C₂²	semidirect
51. #16864039	C₂²	semidirect
52. #16864038	C₂²	semidirect
53. #16864038	C₂²	semidirect
54. #16864038	C₂²	semidirect
55. #16864038	C₂²	semidirect
56. #16864037	C₂²	semidirect
57. #16864036	C₂²	semidirect
58. #16864036	C₂²	semidirect
59. #16864035	C₂²	semidirect
60. #16864035	C₂²	semidirect
61. #16864035	C₂²	semidirect
62. #16864035	C₂²	semidirect
63. #16864034	C₂²	semidirect
64. #16864033	C₂²	semidirect
65. #16864033	C₂²	semidirect
66. D₄×D₂₆₈	C₂²	semidirect
67. #16864031	C₂²	semidirect
68. #16864031	C₂²	semidirect
69. #16864030	C₂²	semidirect
70. #16864030	C₂²	semidirect
71. #16864030	C₂²	semidirect
72. #16864030	C₂²	semidirect
73. D₄×C₂²⋊D₆₇	C₂²	semidirect
74. D₄×C₂²⋊D₆₇	C₂²	semidirect
75. #16864028	C₂²	semidirect
76. #16864028	C₂²	semidirect
77. #16864028	C₂²	semidirect
78. #16864028	C₂²	semidirect
79. #16864021	C₂²	semidirect
80. #16863985	C₂²	semidirect
81. #16863985	C₂²	semidirect
82. #16863984	C₂²	semidirect
83. #16863982	C₂²	semidirect
84. #16863982	C₂²	semidirect
85. #16863981	C₂²	semidirect
86. #16863981	C₂²	semidirect
87. #16863980	C₂²	semidirect
88. #16863980	C₂²	semidirect
89. #16863978	C₂²	semidirect
90. #16863978	C₂²	semidirect
91. #16863964	C₂²	semidirect
92. #16863963	C₂²	semidirect
93. #16863962	C₂²	semidirect
94. #16863962	C₂²	semidirect
95. #16863961	C₂²	semidirect
96. #16863959	C₂²	semidirect
97. #16863957	C₂²	semidirect
98. #16863957	C₂²	semidirect
99. #16863956	C₂²	semidirect
100. #16863956	C₂²	semidirect
101. #16863956	C₂²	semidirect
102. #16863955	C₂²	semidirect
103. #16863954	C₂²	semidirect
104. #16863954	C₂²	semidirect
105. #16863954	C₂²	semidirect
106. #16863909	C₂²	semidirect
107. #16863908	C₂²	semidirect
108. #16863906	C₂²	semidirect
109. #16863905	C₂²	semidirect
110. #16863905	C₂²	semidirect
111. #16863904	C₂²	semidirect
112. #16863903	C₂²	semidirect
113. C₂×#14524013	C₂²	semidirect
114. C₂×#14524013	C₂²	semidirect
115. C₂×#14524013	C₂²	semidirect
116. C₂×#14524012	C₂²	semidirect
117. C₂×#14524011	C₂²	semidirect
118. C₂×#14524011	C₂²	semidirect
119. C₂×#14524011	C₂²	semidirect
120. #120×D₆₇	C₂²	semidirect
121. #120×D₆₇	C₂²	semidirect
122. #120×D₆₇	C₂²	semidirect
123. #120×D₆₇	C₂²	semidirect
124. #120×D₆₇	C₂²	semidirect
125. #120×D₆₇	C₂²	semidirect
126. #120×D₆₇	C₂²	semidirect
127. #120×D₆₇	C₂²	semidirect
128. #120×D₆₇	C₂²	semidirect
129. #16863870	C₂²	semidirect
130. #16863869	C₂²	semidirect
131. #16863868	C₂²	semidirect
132. #16863868	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
135. H(3,𝔽₄)×C₆₇	C₂²	semidirect
136. #560×C₆₇	C₂²	semidirect
137. #551×C₆₇	C₂²	semidirect
138. #546×C₆₇	C₂²	semidirect
139. D₄²×C₆₇	C₂²	semidirect
140. #538×C₆₇	C₂²	semidirect
141. #535×C₆₇	C₂²	semidirect
142. #534×C₆₇	C₂²	semidirect
143. C₂×#120×C₆₇	C₂²	semidirect
149. C₂⁴×D₆₇	C₂³	semidirect
152. C₂×#11761629	C₂³	semidirect
153. C₂×#11761628	C₂³	semidirect
154. C₂×#11761628	C₂³	semidirect
155. C₂×#11761628	C₂³	semidirect
156. C₂×#11761627	C₂³	semidirect
157. C₂×#11761627	C₂³	semidirect
159. C₂²×D₂₆₈	C₂³	semidirect
160. C₂²×D₂₆₈	C₂³	semidirect
162. C₂²×C₂²⋊D₆₇	C₂³	semidirect
163. C₂²×C₂²⋊D₆₇	C₂³	semidirect
164. C₂²×C₂²⋊D₆₇	C₂³	semidirect
165. C₂²×C₂²⋊D₆₇	C₂³	semidirect
166. C₂²×C₂²⋊D₆₇	C₂³	semidirect
171. C₂×D₄×D₆₇	C₂³	semidirect
172. C₂×D₄×D₆₇	C₂³	semidirect
173. C₂×D₄×D₆₇	C₂³	semidirect
174. C₂×D₄×D₆₇	C₂³	semidirect
175. C₂×D₄×D₆₇	C₂³	semidirect
176. C₂×D₄×D₆₇	C₂³	semidirect
177. C₂×D₄×D₆₇	C₂³	semidirect
178. C₂×D₄×D₆₇	C₂³	semidirect
179. C₂×D₄×D₆₇	C₂³	semidirect
180. C₂×D₄×D₆₇	C₂³	semidirect
181. C₂×D₄×D₆₇	C₂³	semidirect
182. C₂×D₄×D₆₇	C₂³	semidirect
183. C₂×D₄×D₆₇	C₂³	semidirect
184. C₂²×C₄×D₆₇	C₂³	semidirect
185. C₂²×C₄×D₆₇	C₂³	semidirect
186. #14524040	C₂³	semidirect
187. #14524039	C₂³	semidirect
188. #14524039	C₂³	semidirect
189. #14524039	C₂³	semidirect
190. #14524039	C₂³	semidirect
191. #14524038	C₂³	semidirect
192. #14524038	C₂³	semidirect
193. #14524037	C₂³	semidirect
194. #14524037	C₂³	semidirect
195. #14524036	C₂³	semidirect
196. #14524036	C₂³	semidirect
197. #14524036	C₂³	semidirect
198. #14524036	C₂³	semidirect
199. #14524032	C₂³	semidirect
200. #14524031	C₂³	semidirect
201. #14524030	C₂³	semidirect
202. #14524030	C₂³	semidirect
203. #14524030	C₂³	semidirect
204. #14524029	C₂³	semidirect
205. #14524029	C₂³	semidirect
206. #14524029	C₂³	semidirect
207. #14524029	C₂³	semidirect
208. #14524029	C₂³	semidirect
209. #14524029	C₂³	semidirect
210. #14524028	C₂³	semidirect
211. #14524028	C₂³	semidirect
212. #14524028	C₂³	semidirect
213. #14524028	C₂³	semidirect
214. #14524028	C₂³	semidirect
215. #14524028	C₂³	semidirect
216. #14524027	C₂³	semidirect
217. #14524027	C₂³	semidirect
218. #14524026	C₂³	semidirect
219. #14524026	C₂³	semidirect
220. #14524025	C₂³	semidirect
221. #14524025	C₂³	semidirect
222. #14524025	C₂³	semidirect
223. #14524025	C₂³	semidirect
224. #14524025	C₂³	semidirect
225. #14524025	C₂³	semidirect
226. #14524025	C₂³	semidirect
227. #14524025	C₂³	semidirect
228. #14524024	C₂³	semidirect
229. #14524024	C₂³	semidirect
230. #14524024	C₂³	semidirect
231. #14524024	C₂³	semidirect
232. #14524023	C₂³	semidirect
233. #14524023	C₂³	semidirect
234. #14524022	C₂³	semidirect
235. #14524021	C₂³	semidirect
236. #14524021	C₂³	semidirect
237. #14524021	C₂³	semidirect
238. #14524021	C₂³	semidirect
239. #14524020	C₂³	semidirect
240. #14524020	C₂³	semidirect
241. #14524019	C₂³	semidirect
242. #14524019	C₂³	semidirect
243. #14524018	C₂³	semidirect
244. #14524018	C₂³	semidirect
245. #14524018	C₂³	semidirect
246. #14524018	C₂³	semidirect
247. #14524017	C₂³	semidirect
248. #14524017	C₂³	semidirect
249. #14524017	C₂³	semidirect
250. #14524016	C₂³	semidirect
251. #14524016	C₂³	semidirect
252. #14524016	C₂³	semidirect
253. #14524016	C₂³	semidirect
254. #14524016	C₂³	semidirect
255. #14524016	C₂³	semidirect
256. #14524016	C₂³	semidirect
257. #14524016	C₂³	semidirect
258. #14524016	C₂³	semidirect
259. #14524016	C₂³	semidirect
260. #14524015	C₂³	semidirect
261. #14524015	C₂³	semidirect
262. #14524015	C₂³	semidirect
263. #14524015	C₂³	semidirect
264. #14524015	C₂³	semidirect
265. #14524015	C₂³	semidirect
266. #14524015	C₂³	semidirect
267. #14524015	C₂³	semidirect
268. #14524014	C₂³	semidirect
269. #14524014	C₂³	semidirect
270. #14524014	C₂³	semidirect
271. #14524014	C₂³	semidirect
272. #14524014	C₂³	semidirect
273. #14524014	C₂³	semidirect
279. #14524013	C₂³	semidirect
280. #14524013	C₂³	semidirect
281. #14524013	C₂³	semidirect
282. #14524013	C₂³	semidirect
283. #14524013	C₂³	semidirect
284. #14524013	C₂³	semidirect
285. #14524013	C₂³	semidirect
286. #14524013	C₂³	semidirect
287. #14524013	C₂³	semidirect
288. #14524013	C₂³	semidirect
289. #14524013	C₂³	semidirect
290. #14524013	C₂³	semidirect
291. #14524013	C₂³	semidirect
293. #14524012	C₂³	semidirect
294. #14524012	C₂³	semidirect
295. #14524012	C₂³	semidirect
296. #14524012	C₂³	semidirect
297. #14524012	C₂³	semidirect
304. #14524011	C₂³	semidirect
305. #14524011	C₂³	semidirect
306. #14524011	C₂³	semidirect
307. #14524011	C₂³	semidirect
308. #14524011	C₂³	semidirect
309. #14524011	C₂³	semidirect
310. #14524011	C₂³	semidirect
311. #14524011	C₂³	semidirect
312. #14524011	C₂³	semidirect
313. #14524011	C₂³	semidirect
314. #14524011	C₂³	semidirect
315. #14524011	C₂³	semidirect
316. #14524011	C₂³	semidirect
317. #14524011	C₂³	semidirect
318. #14524011	C₂³	semidirect
319. #14524011	C₂³	semidirect
320. C₄×D₂₆₈	C₂³	semidirect
321. C₄×D₂₆₈	C₂³	semidirect
322. C₄×D₂₆₈	C₂³	semidirect
323. C₄×D₂₆₈	C₂³	semidirect
324. D₄×Dic₆₇	C₂³	semidirect
325. D₄×Dic₆₇	C₂³	semidirect
326. #14524005	C₂³	semidirect
327. #14524005	C₂³	semidirect
328. #14524005	C₂³	semidirect
329. #14524005	C₂³	semidirect
330. C₄×C₂²⋊D₆₇	C₂³	semidirect
331. C₄×C₂²⋊D₆₇	C₂³	semidirect
332. C₄×C₂²⋊D₆₇	C₂³	semidirect
333. C₄×C₂²⋊D₆₇	C₂³	semidirect
334. C₄×C₂²⋊D₆₇	C₂³	semidirect
335. C₄×C₂²⋊D₆₇	C₂³	semidirect
336. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
337. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
338. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
339. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
340. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
341. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
342. #14524002	C₂³	semidirect
343. #14524001	C₂³	semidirect
344. #14524001	C₂³	semidirect
345. #14524000	C₂³	semidirect
346. #14524000	C₂³	semidirect
347. #14523999	C₂³	semidirect
348. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
349. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
350. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
352. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
353. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
354. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
355. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
358. C₂²⋊C₄×D₆₇	C₂³	semidirect
359. C₂²⋊C₄×D₆₇	C₂³	semidirect
360. C₂²⋊C₄×D₆₇	C₂³	semidirect
361. C₂²⋊C₄×D₆₇	C₂³	semidirect
362. C₂²⋊C₄×D₆₇	C₂³	semidirect
363. C₂²⋊C₄×D₆₇	C₂³	semidirect
364. C₂²⋊C₄×D₆₇	C₂³	semidirect
365. C₂²⋊C₄×D₆₇	C₂³	semidirect
366. C₂²⋊C₄×D₆₇	C₂³	semidirect
367. C₂²⋊C₄×D₆₇	C₂³	semidirect
368. C₂²⋊C₄×D₆₇	C₂³	semidirect
369. C₂²⋊C₄×D₆₇	C₂³	semidirect
370. C₂²⋊C₄×D₆₇	C₂³	semidirect
372. C₂×#41×C₆₇	C₂³	semidirect
373. C₂²×D₄×C₆₇	C₂³	semidirect
374. C₂²×D₄×C₆₇	C₂³	semidirect
375. C₂²×D₄×C₆₇	C₂³	semidirect
376. #127×C₆₇	C₂³	semidirect
377. #127×C₆₇	C₂³	semidirect
378. #126×C₆₇	C₂³	semidirect
379. #126×C₆₇	C₂³	semidirect
380. #124×C₆₇	C₂³	semidirect
381. #124×C₆₇	C₂³	semidirect
382. #124×C₆₇	C₂³	semidirect
383. #123×C₆₇	C₂³	semidirect
384. #123×C₆₇	C₂³	semidirect
385. #123×C₆₇	C₂³	semidirect
386. #123×C₆₇	C₂³	semidirect
387. C₂²⋊Q₈×C₆₇	C₂³	semidirect
388. #121×C₆₇	C₂³	semidirect
389. #121×C₆₇	C₂³	semidirect
390. #121×C₆₇	C₂³	semidirect
391. #121×C₆₇	C₂³	semidirect
392. #121×C₆₇	C₂³	semidirect
395. #120×C₆₇	C₂³	semidirect
396. #120×C₆₇	C₂³	semidirect
397. #120×C₆₇	C₂³	semidirect
398. #120×C₆₇	C₂³	semidirect
399. #120×C₆₇	C₂³	semidirect
400. #120×C₆₇	C₂³	semidirect
401. #120×C₆₇	C₂³	semidirect
402. C₄×D₄×C₆₇	C₂³	semidirect
403. C₄×D₄×C₆₇	C₂³	semidirect
404. #117×C₆₇	C₂³	semidirect
405. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
406. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
407. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
429. C₂³×D₆₇	C₂⁴	semidirect
436. C₂×Dic₁₃₄	C₂⁴	semidirect
437. C₂×Dic₁₃₄	C₂⁴	semidirect
447. C₂×D₂₆₈	C₂⁴	semidirect
448. C₂×D₂₆₈	C₂⁴	semidirect
467. C₂×C₂²⋊D₆₇	C₂⁴	semidirect
468. C₂×C₂²⋊D₆₇	C₂⁴	semidirect
469. C₂×C₂²⋊D₆₇	C₂⁴	semidirect
487. C₂²×Dic₆₇	C₂⁴	semidirect
488. C₂²×Dic₆₇	C₂⁴	semidirect
497. C₂×C₄×D₆₇	C₂⁴	semidirect
498. C₂×C₄×D₆₇	C₂⁴	semidirect
499. C₂×C₄×D₆₇	C₂⁴	semidirect
500. C₄⋊Dic₆₇	C₂⁴	semidirect
501. C₄⋊Dic₆₇	C₂⁴	semidirect
502. C₄⋊Dic₆₇	C₂⁴	semidirect
503. Dic₆₇⋊C₄	C₂⁴	semidirect
504. Dic₆₇⋊C₄	C₂⁴	semidirect
505. Dic₆₇⋊C₄	C₂⁴	semidirect
506. Dic₆₇⋊C₄	C₂⁴	semidirect
507. Dic₆₇⋊C₄	C₂⁴	semidirect
508. Dic₆₇⋊C₄	C₂⁴	semidirect
516. C₂²⋊Dic₆₇	C₂⁴	semidirect
517. C₂²⋊Dic₆₇	C₂⁴	semidirect
518. C₂²⋊Dic₆₇	C₂⁴	semidirect
519. C₂²⋊Dic₆₇	C₂⁴	semidirect
532. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
533. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
534. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
535. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
536. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
537. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
538. C₄×Dic₆₇	C₂⁴	semidirect
539. C₄×Dic₆₇	C₂⁴	semidirect
540. C₄×Dic₆₇	C₂⁴	semidirect
541. C₄×Dic₆₇	C₂⁴	semidirect
547. C₂⁴×C₆₇	C₂⁴	semidirect
549. C₂×Q₈×C₆₇	C₂⁴	semidirect
561. C₂×D₄×C₆₇	C₂⁴	semidirect
562. C₂×D₄×C₆₇	C₂⁴	semidirect
565. C₂²×C₄×C₆₇	C₂⁴	semidirect
566. C₂²×C₄×C₆₇	C₂⁴	semidirect
567. C₄⋊C₄×C₆₇	C₂⁴	semidirect
568. C₄⋊C₄×C₆₇	C₂⁴	semidirect
569. C₄⋊C₄×C₆₇	C₂⁴	semidirect
577. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
578. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
579. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
580. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
581. C₄²×C₆₇	C₂⁴	semidirect
582. C₄²×C₆₇	C₂⁴	semidirect
583. C₄²×C₆₇	C₂⁴	semidirect
628. C₂²×D₆₇	H(5,𝔽₂)	semidirect
748. #3532	D₆₇	semidirect
757. C₆₇	#62817	semidirect
766. H(3,𝔽₄)	C₂×D₆₇	semidirect
773. #560	C₂×D₆₇	semidirect
787. #551	C₂×D₆₇	semidirect
811. #546	C₂×D₆₇	semidirect
825. D₄²	C₂×D₆₇	semidirect
838. #538	C₂×D₆₇	semidirect
845. #535	C₂×D₆₇	semidirect
855. #534	C₂×D₆₇	semidirect
879. C₂×#120	C₂×D₆₇	semidirect
901. C₂×#41	C₂²×D₆₇	semidirect
928. C₂²×D₄	C₂²×D₆₇	semidirect
929. C₂²×D₄	C₂²×D₆₇	semidirect
930. C₂²×D₄	C₂²×D₆₇	semidirect
938. #127	C₂²×D₆₇	semidirect
939. #127	C₂²×D₆₇	semidirect
948. #126	C₂²×D₆₇	semidirect
949. #126	C₂²×D₆₇	semidirect
961. #124	C₂²×D₆₇	semidirect
962. #124	C₂²×D₆₇	semidirect
963. #124	C₂²×D₆₇	semidirect
986. #123	C₂²×D₆₇	semidirect
987. #123	C₂²×D₆₇	semidirect
988. #123	C₂²×D₆₇	semidirect
989. #123	C₂²×D₆₇	semidirect
1001. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1033. #121	C₂²×D₆₇	semidirect
1034. #121	C₂²×D₆₇	semidirect
1035. #121	C₂²×D₆₇	semidirect
1036. #121	C₂²×D₆₇	semidirect
1037. #121	C₂²×D₆₇	semidirect
1086. #120	C₂²×D₆₇	semidirect
1087. #120	C₂²×D₆₇	semidirect
1088. #120	C₂²×D₆₇	semidirect
1089. #120	C₂²×D₆₇	semidirect
1090. #120	C₂²×D₆₇	semidirect
1091. #120	C₂²×D₆₇	semidirect
1092. #120	C₂²×D₆₇	semidirect
1115. C₄×D₄	C₂²×D₆₇	semidirect
1116. C₄×D₄	C₂²×D₆₇	semidirect
1123. #117	C₂²×D₆₇	semidirect
1147. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1148. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1149. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1177. C₂⁴	C₂³×D₆₇	semidirect
1187. C₂×Q₈	C₂³×D₆₇	semidirect
1246. C₂×D₄	C₂³×D₆₇	semidirect
1247. C₂×D₄	C₂³×D₆₇	semidirect
1265. C₂²×C₄	C₂³×D₆₇	semidirect
1266. C₂²×C₄	C₂³×D₆₇	semidirect
1276. C₄⋊C₄	C₂³×D₆₇	semidirect
1277. C₄⋊C₄	C₂³×D₆₇	semidirect
1278. C₄⋊C₄	C₂³×D₆₇	semidirect
1315. C₂²⋊C₄	C₂³×D₆₇	semidirect
1316. C₂²⋊C₄	C₂³×D₆₇	semidirect
1317. C₂²⋊C₄	C₂³×D₆₇	semidirect
1318. C₂²⋊C₄	C₂³×D₆₇	semidirect
1323. C₄²	C₂³×D₆₇	semidirect
1324. C₄²	C₂³×D₆₇	semidirect
1325. C₄²	C₂³×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574366	2
#22574364	2
#22574363	2
#22574362	2
#22574361	2
#22574360	2
#22573895	2
#22573893	2
#22573891	2
#22573843	2
#22573841	2
#22573839	2
#22573837	2
C₂×#120×D₆₇	2
C₆₇×#3532	2
#62817	67