Subgroups — #31764399

Order 17152.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22573962	C₂	1	4	yes	maximal, complemented
2	#22573951	C₂	1	4	yes	maximal, complemented
3	#22573945	C₂	1	4	yes	maximal, complemented
4	#22573934	C₂	1	4	yes	maximal, complemented
5	#22573922	C₂	1	4	yes	maximal, complemented
6	#22573912	C₂	1	4	yes	maximal, complemented
7	#22573902	C₂	1	4	yes	maximal, complemented
8	#22573894	C₂	1	4	yes	maximal, complemented
9	#22573773	C₂	1	8	yes	maximal, complemented
10	#22573763	C₂	1	8	yes	maximal, complemented
11	#22573614	C₂	1	1	yes	maximal, characteristic, complemented
12	#22573594	C₂	1	4	yes	maximal, complemented
13	#22573538	C₂	1	1	yes	maximal, characteristic, complemented
14	#22573502	C₂	1	4	yes	maximal, complemented
15	C₂×#16863908	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16863903	C₂	1	1	yes	maximal, characteristic, complemented
17	#22573410	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#117×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#3428	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#11761628	C₂²	1	1	yes	characteristic
21	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
22	#16864119	C₂²	1	8	yes	complemented
23	#16864114	C₂²	1	8	yes	complemented
24	#16864111	C₂²	1	8	yes	complemented
25	#16864109	C₂²	1	8	yes	complemented
26	#16864106	C₂²	1	8	yes	complemented
27	#16864101	C₂²	1	8	yes	complemented
28	#16864096	C₂²	1	8	yes	complemented
29	#16864096	C₂²	1	8	yes	complemented
30	#16864094	C₂²	1	8	yes	complemented
31	#16864090	C₂²	1	8	yes	complemented
32	#16864087	C₂²	1	8	yes	complemented
33	#16864087	C₂²	1	8	yes	complemented
34	#16864086	C₂²	1	16	yes	complemented
35	#16864085	C₂²	1	8	yes	complemented
36	#16864081	C₂²	1	8	yes	complemented
37	#16864079	C₂²	1	16	yes	complemented
38	#16864075	C₂²	1	16	yes	complemented
39	#16864075	C₂²	1	16	yes	complemented
40	#16864072	C₂²	1	16	yes	complemented
41	#16864070	C₂²	1	16	yes	complemented
42	#16864051	C₂²	1	8	yes	complemented
43	#16864047	C₂²	1	8	yes	complemented
44	#16864042	C₂²	1	16	yes	complemented
45	#16864036	C₂²	1	16	yes	complemented
46	#16864027	C₂²	1	4	yes	complemented
47	#16864024	C₂²	1	4	yes	complemented
48	#16864024	C₂²	1	4	yes	complemented
49	#16864022	C₂²	1	4	yes	—
50	#16864018	C₂²	1	8	yes	complemented
51	#16864011	C₂²	1	8	yes	complemented
52	#16864004	C₂²	1	8	yes	complemented
53	#16863997	C₂²	1	8	yes	complemented
54	#16863988	C₂²	1	16	yes	complemented
55	#16863979	C₂²	1	16	yes	complemented
56	#16863974	C₂²	1	4	yes	complemented
57	#16863970	C₂²	1	2	yes	complemented
58	#16863967	C₂²	1	2	yes	complemented
59	#16863963	C₂²	1	2	yes	complemented
60	#16863960	C₂²	1	2	yes	complemented
61	#16863955	C₂²	1	4	yes	—
62	#16863953	C₂²	1	4	yes	complemented
63	#16863950	C₂²	1	8	yes	complemented
64	#16863949	C₂²	1	4	yes	complemented
65	#16863949	C₂²	1	4	yes	complemented
66	#16863943	C₂²	1	8	yes	complemented
67	#16863942	C₂²	1	4	yes	complemented
68	#16863933	C₂²	1	8	yes	complemented
69	#16863930	C₂²	1	16	yes	complemented
70	#16863928	C₂²	1	8	yes	complemented
71	#16863926	C₂²	1	16	yes	complemented
72	#16863924	C₂²	1	16	yes	complemented
73	#16863924	C₂²	1	16	yes	complemented
74	#16863908	C₂²	1	4	yes	—
75	#16863908	C₂²	1	4	yes	—
76	#16863908	C₂²	1	2	yes	complemented
77	#16863908	C₂²	1	2	yes	complemented
78	#16863908	C₂²	1	2	yes	complemented
79	#16863908	C₂²	1	2	yes	complemented
80	#16863907	C₂²	1	4	yes	complemented
81	#16863905	C₂²	1	16	yes	complemented
82	#16863903	C₂²	1	4	yes	—
83	#16863903	C₂²	1	4	yes	—
84	#16863903	C₂²	1	2	yes	complemented
85	#16863903	C₂²	1	2	yes	complemented
86	#16863903	C₂²	1	2	yes	complemented
87	#16863903	C₂²	1	2	yes	complemented
88	#16863903	C₂²	1	4	yes	complemented
89	C₂×#14524027	C₂²	1	2	yes	—
90	C₂×#14524024	C₂²	1	2	yes	—
91	C₂×#14524023	C₂²	1	2	yes	complemented
92	C₂×#14524019	C₂²	1	2	yes	complemented
93	C₂×#14524018	C₂²	1	2	yes	complemented
94	C₂×#14524014	C₂²	1	2	yes	complemented
95	C₂×#14524013	C₂²	1	2	yes	—
96	C₂×#14524011	C₂²	1	2	yes	—
97	#16863877	C₂²	1	4	yes	complemented
98	#16863876	C₂²	1	4	yes	complemented
99	#16863873	C₂²	1	2	yes	complemented
100	#16863870	C₂²	1	2	yes	complemented
101	#16863869	C₂²	1	4	yes	—
102	C₄×#11761628	C₂²	1	4	yes	complemented
103	C₄×#11761628	C₂²	1	16	yes	complemented
104	#16863864	C₂²	1	4	yes	complemented
105	C₂×C₄×D₂₆₈	C₂²	1	4	yes	complemented
106	C₂×C₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
107	C₂×#14524002	C₂²	1	1	yes	characteristic
108	C₂×#14524002	C₂²	1	1	yes	characteristic
109	C₂×#14524001	C₂²	1	2	yes	complemented
110	C₂×#14524000	C₂²	1	2	yes	complemented
111	C₂×#14523999	C₂²	1	2	yes	—
112	#117×D₆₇	C₂²	1	4	yes	complemented
113	#117×D₆₇	C₂²	1	4	yes	complemented
114	#117×D₆₇	C₂²	1	4	yes	complemented
115	#117×D₆₇	C₂²	1	4	yes	complemented
116	#117×D₆₇	C₂²	1	4	yes	complemented
117	C₂×C₄⋊C₄×D₆₇	C₂²	1	2	yes	complemented
118	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	—
119	C₂×C₄²×D₆₇	C₂²	1	2	yes	complemented
120	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
121	#520×C₆₇	C₂²	1	4	yes	complemented
122	#520×C₆₇	C₂²	1	4	yes	complemented
123	#519×C₆₇	C₂²	1	2	yes	complemented
124	#518×C₆₇	C₂²	1	4	yes	—
125	#518×C₆₇	C₂²	1	2	yes	complemented
126	C₄×#41×C₆₇	C₂²	1	4	yes	complemented
127	C₄×#41×C₆₇	C₂²	1	4	yes	complemented
128	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
129	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
130	C₂×#117×C₆₇	C₂²	1	4	yes	complemented
131	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
132	C₂×#11761628	—	2	8	no	—
133	C₂×#11761628	C₂³	1	2	yes	—
134	C₂×#11761628	C₂³	1	2	yes	—
135	C₂×#11761628	C₂³	1	2	yes	—
136	C₂×#11761628	C₂³	1	2	yes	—
137	C₂×#11761628	C₂³	1	16	yes	—
138	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
139	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
140	C₂²×D₂₆₈	C₂³	1	4	yes	—
141	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
142	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
143	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
144	C₂²×C₄×D₆₇	—	2	8	no	—
145	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
146	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
147	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
148	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
149	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
150	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
151	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
152	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
153	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
154	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
155	#14524043	C₂³	1	8	yes	complemented
156	#14524042	C₂³	1	8	yes	complemented
157	#14524042	C₂³	1	8	yes	complemented
158	#14524041	C₂³	1	4	yes	complemented
159	#14524039	C₂³	1	4	yes	complemented
160	#14524038	C₂³	1	16	yes	—
161	#14524038	C₂³	1	16	yes	complemented
162	#14524037	C₂³	1	16	yes	—
163	#14524037	C₂³	1	16	yes	complemented
164	#14524036	C₂³	1	16	yes	complemented
165	#14524036	C₂³	1	16	yes	complemented
166	#14524035	C₂³	1	16	yes	complemented
167	#14524035	C₂³	1	8	yes	complemented
168	#14524034	C₂³	1	8	yes	complemented
169	#14524034	C₂³	1	8	yes	complemented
170	#14524033	C₂³	1	16	yes	complemented
171	#14524033	C₂³	1	16	yes	complemented
172	#14524032	C₂³	1	4	yes	complemented
173	#14524031	C₂³	1	16	yes	—
174	#14524030	C₂³	1	4	yes	complemented
175	#14524029	C₂³	1	16	yes	—
176	#14524029	C₂³	1	16	yes	complemented
177	#14524028	C₂³	1	16	yes	—
178	#14524028	C₂³	1	16	yes	—
179	#14524027	C₂³	1	8	yes	—
180	#14524027	C₂³	1	4	yes	—
181	#14524027	C₂³	1	4	yes	—
182	#14524026	C₂³	1	16	yes	—
183	#14524026	C₂³	1	8	yes	—
184	#14524026	C₂³	1	16	yes	complemented
185	#14524025	C₂³	1	16	yes	—
186	#14524025	C₂³	1	16	yes	complemented
187	#14524024	C₂³	1	8	yes	—
188	#14524024	C₂³	1	8	yes	—
189	#14524024	C₂³	1	4	yes	—
190	#14524024	C₂³	1	4	yes	—
191	#14524023	C₂³	1	4	yes	—
192	#14524023	C₂³	1	4	yes	—
193	#14524023	C₂³	1	4	yes	—
194	#14524023	C₂³	1	4	yes	—
195	#14524022	C₂³	1	16	yes	—
196	#14524022	C₂³	1	16	yes	complemented
197	#14524022	C₂³	1	8	yes	complemented
198	#14524021	C₂³	1	16	yes	—
199	#14524021	C₂³	1	16	yes	complemented
200	#14524020	C₂³	1	16	yes	—
201	#14524020	C₂³	1	16	yes	—
202	#14524019	C₂³	1	4	yes	—
203	#14524019	C₂³	1	4	yes	—
204	#14524019	C₂³	1	4	yes	—
205	#14524019	C₂³	1	4	yes	—
206	#14524019	C₂³	1	8	yes	complemented
207	#14524018	C₂³	1	4	yes	—
208	#14524018	C₂³	1	4	yes	—
209	#14524018	C₂³	1	4	yes	—
210	#14524018	C₂³	1	4	yes	—
211	#14524017	C₂³	1	16	yes	—
212	#14524017	C₂³	1	8	yes	complemented
213	#14524016	C₂³	1	16	yes	—
214	#14524016	C₂³	1	16	yes	—
215	#14524015	C₂³	1	16	yes	—
216	#14524014	C₂³	1	4	yes	—
217	#14524014	C₂³	1	4	yes	—
218	#14524014	C₂³	1	4	yes	—
219	#14524014	C₂³	1	4	yes	—
220	#14524014	C₂³	1	8	yes	complemented
221	#14524013	C₂³	1	8	yes	—
222	#14524013	C₂³	1	4	yes	—
223	#14524013	C₂³	1	4	yes	—
224	#14524012	C₂³	1	8	yes	—
225	#14524011	C₂³	1	8	yes	—
226	#14524011	C₂³	1	8	yes	—
227	#14524011	C₂³	1	4	yes	—
228	#14524011	C₂³	1	4	yes	—
229	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
230	C₄×Dic₁₃₄	C₂³	1	16	yes	complemented
231	C₄×Dic₁₃₄	C₂³	1	16	yes	complemented
232	#14524008	C₂³	1	8	yes	complemented
233	C₄×D₂₆₈	C₂³	1	16	yes	—
234	C₄×D₂₆₈	C₂³	1	8	yes	—
235	C₄×D₂₆₈	C₂³	1	8	yes	—
236	C₄×D₂₆₈	C₂³	1	8	yes	—
237	C₄×D₂₆₈	C₂³	1	8	yes	—
238	C₄×D₂₆₈	C₂³	1	8	yes	complemented
239	#14524005	C₂³	1	8	yes	complemented
240	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	—
241	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
242	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
243	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
244	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
245	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	—
246	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
247	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
248	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	—
249	#14524002	C₂³	1	2	yes	—
250	#14524002	C₂³	1	2	yes	—
251	#14524002	C₂³	1	2	yes	—
252	#14524002	C₂³	1	2	yes	—
253	#14524002	C₂³	1	2	yes	—
254	#14524002	C₂³	1	2	yes	—
255	#14524002	C₂³	1	2	yes	—
256	#14524002	C₂³	1	2	yes	—
257	#14524002	C₂³	1	16	yes	complemented
258	#14524001	C₂³	1	4	yes	—
259	#14524001	C₂³	1	4	yes	—
260	#14524001	C₂³	1	4	yes	—
261	#14524001	C₂³	1	4	yes	—
262	#14524001	C₂³	1	8	yes	complemented
263	#14524000	C₂³	1	8	yes	—
264	#14524000	C₂³	1	16	yes	—
265	#14524000	C₂³	1	8	yes	—
266	#14524000	C₂³	1	16	yes	complemented
267	#14524000	C₂³	1	8	yes	complemented
268	#14523999	C₂³	1	8	yes	—
269	#14523999	C₂³	1	8	yes	—
270	#14523999	C₂³	1	8	yes	—
271	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
272	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
273	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	—
274	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	—
275	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	—
276	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
277	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
278	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
279	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
280	C₄⋊C₄×D₆₇	C₂³	1	8	yes	complemented
281	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
284	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
285	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
286	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
287	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
288	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
289	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
290	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
291	C₂×C₄×Dic₆₇	C₂³	1	4	yes	—
292	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
293	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
294	C₄²×D₆₇	C₂³	1	8	yes	—
295	C₄²×D₆₇	C₂³	1	8	yes	—
296	C₄²×D₆₇	C₂³	1	8	yes	complemented
297	C₂×#41×C₆₇	—	2	8	no	—
298	C₂×#41×C₆₇	C₂³	1	2	yes	—
299	C₂×#41×C₆₇	C₂³	1	2	yes	—
300	C₂×#41×C₆₇	C₂³	1	2	yes	—
301	C₂×#41×C₆₇	C₂³	1	2	yes	—
302	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
303	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
304	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
305	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
306	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
307	C₄×Q₈×C₆₇	C₂³	1	8	yes	complemented
308	C₄×Q₈×C₆₇	C₂³	1	8	yes	complemented
309	C₄×D₄×C₆₇	C₂³	1	16	yes	—
310	C₄×D₄×C₆₇	C₂³	1	16	yes	—
311	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
312	C₄×D₄×C₆₇	C₂³	1	8	yes	complemented
313	#117×C₆₇	C₂³	1	2	yes	—
314	#117×C₆₇	C₂³	1	2	yes	—
315	#117×C₆₇	C₂³	1	2	yes	—
316	#117×C₆₇	C₂³	1	2	yes	—
317	#117×C₆₇	C₂³	1	2	yes	—
318	#117×C₆₇	C₂³	1	2	yes	—
319	#117×C₆₇	C₂³	1	2	yes	—
320	#117×C₆₇	C₂³	1	2	yes	—
321	#117×C₆₇	C₂³	1	8	yes	—
322	#117×C₆₇	C₂³	1	8	yes	complemented
323	#117×C₆₇	C₂³	1	8	yes	complemented
324	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
325	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
326	C₂×C₄⋊C₄×C₆₇	C₂³	1	8	yes	complemented
327	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
328	C₂×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	—
329	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
330	C₂×C₄²×C₆₇	C₂³	1	2	yes	—
331	C₂×C₄²×C₆₇	C₂³	1	2	yes	—
332	C₂×C₄²×C₆₇	C₂³	1	8	yes	complemented
333	C₂³×D₆₇	—	2	4	no	—
334	C₂³×D₆₇	—	4	4	no	—
335	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
336	C₂³×D₆₇	C₂⁴	1	2	yes	—
337	C₂³×D₆₇	C₂⁴	1	2	yes	—
338	C₂³×D₆₇	C₂⁴	1	2	yes	—
339	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
340	#11761628	—	2	8	no	—
341	#11761628	—	2	8	no	—
342	#11761628	—	2	8	no	—
343	#11761628	—	2	8	no	—
344	#11761628	—	4	32	no	—
345	C₂×Dic₁₃₄	—	2	4	no	—
346	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
347	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
348	C₂×Dic₁₃₄	C₂⁴	1	16	yes	—
349	C₂×D₂₆₈	—	2	4	no	—
350	C₂×D₂₆₈	—	4	8	no	—
351	C₂×D₂₆₈	C₂⁴	1	2	yes	—
352	C₂×D₂₆₈	C₂⁴	1	8	yes	—
353	C₂×D₂₆₈	C₂⁴	1	2	yes	—
354	C₂×D₂₆₈	C₂⁴	1	8	yes	—
355	C₂×C₂²⋊D₆₇	—	2	8	no	—
356	C₂×C₂²⋊D₆₇	—	4	8	no	—
357	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
358	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
359	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
360	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
361	C₂×C₂²⋊D₆₇	C₂⁴	1	16	yes	—
362	C₂²×Dic₆₇	—	2	4	no	—
363	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
365	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
366	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
367	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
369	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
370	C₂×C₄×D₆₇	—	2	8	no	—
371	C₂×C₄×D₆₇	—	2	8	no	—
372	C₂×C₄×D₆₇	—	2	8	no	—
373	C₂×C₄×D₆₇	—	2	8	no	—
374	C₂×C₄×D₆₇	—	2	4	no	—
375	C₂×C₄×D₆₇	—	2	4	no	—
376	C₂×C₄×D₆₇	—	2	4	no	—
377	C₂×C₄×D₆₇	—	2	4	no	—
378	C₂×C₄×D₆₇	—	2	8	no	—
379	C₂×C₄×D₆₇	—	4	8	no	—
380	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
381	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
382	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
383	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
384	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
385	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
386	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
387	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
388	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
389	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
390	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
391	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
392	C₂×C₄×D₆₇	C₂⁴	1	16	yes	—
393	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
394	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
395	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
396	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
397	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
398	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
399	C₄⋊Dic₆₇	C₂⁴	1	16	yes	—
400	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
401	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
402	Dic₆₇⋊C₄	C₂⁴	1	16	yes	—
403	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
404	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
405	Dic₆₇⋊C₄	C₂⁴	1	16	yes	—
406	Dic₆₇⋊C₄	C₂⁴	1	16	yes	—
407	Dic₆₇⋊C₄	C₂⁴	1	16	yes	—
408	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
409	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
410	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
411	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
412	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
413	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
414	C₂²⋊Dic₆₇	C₂⁴	1	16	yes	—
415	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
416	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
417	(C₂×D₆₇)⋊C₄	C₂⁴	1	16	yes	—
418	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
419	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
420	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
421	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
422	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
423	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
424	(C₂×D₆₇)⋊C₄	C₂⁴	1	16	yes	—
425	C₄×Dic₆₇	C₂⁴	1	8	yes	—
426	C₄×Dic₆₇	C₂⁴	1	8	yes	—
427	C₄×Dic₆₇	C₂⁴	1	4	yes	—
428	C₄×Dic₆₇	C₂⁴	1	4	yes	—
429	C₄×Dic₆₇	C₂⁴	1	4	yes	—
430	C₄×Dic₆₇	C₂⁴	1	16	yes	—
431	C₄×Dic₆₇	C₂⁴	1	4	yes	—
432	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
433	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
434	#41×C₆₇	—	2	8	no	—
435	#41×C₆₇	—	2	8	no	—
436	#41×C₆₇	—	2	8	no	—
437	#41×C₆₇	—	2	8	no	—
438	C₂×Q₈×C₆₇	—	2	4	no	—
439	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
440	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
441	C₂×D₄×C₆₇	—	2	8	no	—
442	C₂×D₄×C₆₇	—	2	4	no	—
443	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
444	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
445	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
446	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
447	C₂²×C₄×C₆₇	—	2	8	no	—
448	C₂²×C₄×C₆₇	#41	1	8	yes	complemented
449	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
450	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
451	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
452	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
453	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
454	C₂²×C₄×C₆₇	C₂⁴	1	16	yes	—
455	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
461	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
462	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
463	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
464	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
465	C₄⋊C₄×C₆₇	C₂⁴	1	16	yes	—
466	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
467	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
468	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
469	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
470	C₂²⋊C₄×C₆₇	C₂⁴	1	16	yes	—
471	C₄²×C₆₇	C₂⁴	1	4	yes	—
472	C₄²×C₆₇	C₂⁴	1	4	yes	—
473	C₄²×C₆₇	C₂⁴	1	4	yes	—
474	C₄²×C₆₇	C₂⁴	1	4	yes	—
475	C₄²×C₆₇	C₂⁴	1	16	yes	—
476	C₂³×C₆₇	—	2	4	no	—
477	C₂³×C₆₇	—	4	2	no	—
478	C₂³×C₆₇	—	4	4	no	—
479	C₂³×C₆₇	C₂×#41	1	4	yes	—
480	C₂³×C₆₇	C₂⁵	1	4	yes	—
481	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
482	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
483	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
484	C₂²×D₆₇	—	2	2	no	—
485	C₂²×D₆₇	—	2	4	no	—
486	C₂²×D₆₇	—	2	4	no	—
487	C₂²×D₆₇	—	2	4	no	—
488	C₂²×D₆₇	—	2	2	no	—
489	C₂²×D₆₇	—	2	4	no	—
490	C₂²×D₆₇	—	2	4	no	—
491	C₂²×D₆₇	—	2	4	no	—
492	C₂²×D₆₇	—	4	2	no	—
493	C₂²×D₆₇	—	4	2	no	—
494	C₂²×D₆₇	—	4	2	no	—
495	C₂²×D₆₇	—	4	4	no	—
496	C₂²×D₆₇	—	4	16	no	—
497	C₂²×D₆₇	C₂⁵	1	2	yes	—
498	C₂²×D₆₇	C₂⁵	1	4	yes	—
499	C₂²×D₆₇	C₂⁵	1	2	yes	—
500	Q₈×C₆₇	—	2	4	no	—
501	Q₈×C₆₇	—	2	4	no	—
502	D₄×C₆₇	—	2	8	no	—
503	D₄×C₆₇	—	2	8	no	—
504	D₄×C₆₇	—	2	4	no	—
505	D₄×C₆₇	—	2	4	no	—
506	C₂×C₄×C₆₇	—	2	4	no	—
507	C₂×C₄×C₆₇	—	2	8	no	—
508	C₂×C₄×C₆₇	—	2	8	no	—
509	C₂×C₄×C₆₇	—	4	4	no	—
510	C₂×C₄×C₆₇	—	4	4	no	—
511	C₂×C₄×C₆₇	—	4	16	no	—
512	C₂×C₄×C₆₇	C₂×#41	1	4	yes	—
513	C₂×C₄×C₆₇	C₂×#41	1	4	yes	—
514	C₂×C₄×C₆₇	C₂×#41	1	4	yes	—
515	C₂×C₄×C₆₇	C₂×#41	1	4	yes	—
516	C₂×C₄×C₆₇	C₂×#41	1	4	yes	—
517	C₂×C₄×C₆₇	C₂×#41	1	4	yes	—
518	C₂×C₄×C₆₇	C₂⁵	1	8	yes	—
519	C₂×C₄×C₆₇	C₂⁵	1	8	yes	—
520	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
521	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
522	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
523	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
524	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
525	C₂²⋊D₆₇	—	2	8	no	—
526	C₂²⋊D₆₇	—	2	8	no	—
527	C₂²⋊D₆₇	—	2	16	no	—
528	C₂²⋊D₆₇	—	4	8	no	—
529	C₂²⋊D₆₇	—	4	16	no	—
530	C₂×Dic₆₇	—	2	4	no	—
531	C₂×Dic₆₇	—	2	4	no	—
532	C₂×Dic₆₇	—	2	2	no	—
533	C₂×Dic₆₇	—	2	2	no	—
534	C₂×Dic₆₇	—	2	4	no	—
535	C₂×Dic₆₇	—	4	4	no	—
536	C₂×Dic₆₇	—	4	4	no	—
537	C₂×Dic₆₇	C₂⁵	1	2	yes	—
538	C₂×Dic₆₇	C₂⁵	1	4	yes	—
539	C₂×Dic₆₇	C₂⁵	1	8	yes	—
540	C₂×Dic₆₇	C₂⁵	1	8	yes	—
541	C₂×Dic₆₇	C₂⁵	1	2	yes	—
542	D₂₆₈	—	2	16	no	—
543	D₂₆₈	—	2	4	no	—
544	D₂₆₈	—	2	4	no	—
545	D₂₆₈	—	4	8	no	—
546	C₄×D₆₇	—	2	16	no	—
547	C₄×D₆₇	—	2	4	no	—
548	C₄×D₆₇	—	2	4	no	—
549	C₄×D₆₇	—	2	4	no	—
550	C₄×D₆₇	—	2	4	no	—
551	C₄×D₆₇	—	2	4	no	—
552	C₄×D₆₇	—	2	4	no	—
553	C₄×D₆₇	—	2	4	no	—
554	C₄×D₆₇	—	2	4	no	—
555	C₄×D₆₇	—	2	8	no	—
556	C₄×D₆₇	—	2	8	no	—
557	C₄×D₆₇	—	4	8	no	—
558	C₄×D₆₇	—	4	16	no	—
559	Dic₁₃₄	—	2	4	no	—
560	Dic₁₃₄	—	2	4	no	—
561	Dic₁₃₄	—	4	16	no	—
562	C₂²×C₆₇	—	2	2	no	—
563	C₂²×C₆₇	—	2	2	no	—
564	C₂²×C₆₇	—	2	2	no	—
565	C₂²×C₆₇	—	2	4	no	—
566	C₂²×C₆₇	—	2	8	no	—
567	C₂²×C₆₇	—	4	4	no	—
568	C₂²×C₆₇	—	8	4	no	—
569	C₂²×C₆₇	C₂²×#41	1	2	yes	—
570	C₂²×C₆₇	C₂²×#41	1	2	yes	—
571	C₂²×C₆₇	C₂²×#41	1	2	yes	—
572	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
573	C₂×D₆₇	—	2	8	no	—
574	C₂×D₆₇	—	2	2	no	—
575	C₂×D₆₇	—	2	2	no	—
576	C₂×D₆₇	—	2	2	no	—
577	C₂×D₆₇	—	2	4	no	—
578	C₂×D₆₇	—	2	8	no	—
579	C₂×D₆₇	—	2	2	no	—
580	C₂×D₆₇	—	2	2	no	—
581	C₂×D₆₇	—	4	8	no	—
582	C₂×D₆₇	—	4	8	no	—
583	C₂×D₆₇	—	4	4	no	—
584	C₂×D₆₇	—	8	4	no	—
585	C₂×D₆₇	#585	1	4	yes	—
586	C₄×C₆₇	—	2	4	no	—
587	C₄×C₆₇	—	2	8	no	—
588	C₄×C₆₇	—	2	8	no	—
589	C₄×C₆₇	C₂²×#41	1	2	yes	—
590	C₄×C₆₇	C₂²×#41	1	2	yes	—
591	C₄×C₆₇	C₂²×#41	1	2	yes	—
592	C₄×C₆₇	C₂²×#41	1	2	yes	—
593	Dic₆₇	—	2	4	no	—
594	Dic₆₇	—	2	2	no	—
595	Dic₆₇	—	2	2	no	—
596	Dic₆₇	—	2	8	no	—
597	Dic₆₇	—	2	8	no	—
598	#62814	—	67	1	no	maximal, Sylow
599	C₂×C₆₇	—	2	2	no	—
600	C₂×C₆₇	—	2	2	no	—
601	C₂×C₆₇	—	2	2	no	—
602	C₂×C₆₇	—	4	4	no	—
603	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
604	C₂×C₆₇	C₂×#585	1	2	yes	—
605	D₆₇	—	2	4	no	—
606	D₆₇	—	4	2	no	—
607	D₆₇	—	4	4	no	—
608	#3495	—	67	4	no	—
609	#3495	—	67	4	no	—
610	#3494	—	67	4	no	—
611	#3494	—	67	4	no	—
612	#3493	—	67	4	no	—
613	#3492	—	67	4	no	—
614	#3491	—	67	4	no	—
615	#3490	—	67	4	no	—
616	#3475	—	67	8	no	—
617	#3475	—	67	8	no	—
618	#3458	—	67	1	no	—
619	#3455	—	67	4	no	—
620	#3449	—	67	1	no	—
621	#3444	—	67	4	no	—
622	C₂×#525	—	67	1	no	—
623	C₂×#525	—	67	1	no	—
624	#3428	—	67	1	no	—
625	#3428	D₆₇	1	1	yes	characteristic, complemented
626	C₂²×#117	—	67	1	no	—
627	C₆₇	#62814	1	1	yes	characteristic, complemented, Sylow
628	C₂²×#41	—	67	1	no	—
629	C₂²×#41	C₂×D₆₇	1	1	yes	characteristic
630	C₂⁴×C₄	—	67	1	no	—
631	#556	—	67	8	no	—
632	#556	—	67	8	no	—
633	#555	—	67	8	no	—
634	#555	—	67	8	no	—
635	#554	—	67	8	no	—
636	#554	—	67	8	no	—
637	#553	—	67	8	no	—
638	#553	—	67	8	no	—
639	#553	—	67	8	no	—
640	#553	—	67	8	no	—
641	#552	—	67	8	no	—
642	#552	—	67	8	no	—
643	#552	—	67	16	no	—
644	#552	—	67	16	no	—
645	#552	—	67	8	no	—
646	#552	—	67	8	no	—
647	#551	—	67	16	no	—
648	#551	—	67	16	no	—
649	#551	—	67	16	no	—
650	#551	—	67	16	no	—
651	#547	—	67	8	no	—
652	#547	—	67	8	no	—
653	#546	—	67	16	no	—
654	#546	—	67	16	no	—
655	#544	—	67	4	no	—
656	#544	—	67	4	no	—
657	#544	—	67	4	no	—
658	#543	—	67	4	no	—
659	#542	—	67	8	no	—
660	#542	—	67	8	no	—
661	#541	—	67	8	no	—
662	#540	—	67	8	no	—
663	#539	—	67	16	no	—
664	#538	—	67	16	no	—
665	#537	—	67	4	no	—
666	#536	—	67	2	no	—
667	#536	—	67	2	no	—
668	#535	—	67	2	no	—
669	#535	—	67	2	no	—
670	#534	—	67	4	no	—
671	#533	—	67	8	no	—
672	#533	—	67	4	no	—
673	#533	—	67	4	no	—
674	#533	—	67	4	no	—
675	#532	—	67	4	no	—
676	#532	—	67	8	no	—
677	#529	—	67	8	no	—
678	#529	—	67	16	no	—
679	#529	—	67	8	no	—
680	#529	—	67	16	no	—
681	#529	—	67	16	no	—
682	#529	—	67	16	no	—
683	#525	—	67	2	no	—
684	#525	—	67	2	no	—
685	#525	—	67	4	no	—
686	#525	—	67	4	no	—
687	#525	—	67	2	no	—
688	#525	—	67	2	no	—
689	#525	—	67	4	no	—
690	#525	—	67	4	no	—
691	#525	—	67	16	no	—
692	#525	—	67	2	no	—
693	#525	—	67	2	no	—
694	#525	—	67	4	no	—
695	#525	—	67	2	no	—
696	#525	—	67	4	no	—
697	#525	—	67	2	no	—
698	C₂×#123	—	67	2	no	—
699	C₂×#123	—	67	2	no	—
700	C₂×C₂²⋊Q₈	—	67	2	no	—
701	C₂×C₂²⋊Q₈	—	67	2	no	—
702	C₂×#121	—	67	2	no	—
703	C₂×#121	—	67	2	no	—
704	C₂×#120	—	67	2	no	—
705	C₂×#120	—	67	2	no	—
706	#520	—	67	4	no	—
707	#520	—	67	4	no	—
708	#520	C₂×D₆₇	1	4	yes	complemented
709	#520	C₂×D₆₇	1	4	yes	complemented
710	#519	—	67	2	no	—
711	#519	C₂×D₆₇	1	2	yes	complemented
712	#518	—	67	2	no	—
713	#518	—	67	4	no	—
714	#518	C₂×D₆₇	1	4	yes	—
715	#518	C₂×D₆₇	1	2	yes	complemented
716	C₄×#41	—	67	4	no	—
717	C₄×#41	—	67	4	no	—
718	C₄×#41	—	67	16	no	—
719	C₄×#41	C₂×D₆₇	1	4	yes	complemented
720	C₄×#41	C₂×D₆₇	1	4	yes	complemented
721	C₂×C₄×D₄	—	67	4	no	—
722	C₂×C₄×D₄	—	67	4	no	—
723	C₂×#117	—	67	1	no	—
724	C₂×#117	—	67	1	no	—
725	C₂×#117	—	67	4	no	—
726	C₂×#117	—	67	4	no	—
727	C₂×#117	—	67	4	no	—
728	C₂×#117	—	67	4	no	—
729	C₂×#117	—	67	4	no	—
730	C₂×#117	—	67	2	no	—
731	C₂×#117	—	67	2	no	—
732	C₂×#117	—	67	2	no	—
733	C₂×#117	C₂×D₆₇	1	1	yes	characteristic
734	C₂×#117	C₂×D₆₇	1	1	yes	characteristic
735	C₂×#117	C₂×D₆₇	1	4	yes	complemented
736	C₂²×C₄⋊C₄	—	67	2	no	—
737	C₂²×C₂²⋊C₄	—	67	2	no	—
738	C₂²×C₄²	—	67	2	no	—
739	C₂⁵	—	67	1	no	—
740	C₂×#41	—	2	8	no	—
741	C₂×#41	—	67	16	no	—
742	C₂×#41	—	67	2	no	—
743	C₂×#41	—	67	2	no	—
744	C₂×#41	—	67	2	no	—
745	C₂×#41	—	67	2	no	—
746	C₂×#41	—	134	8	no	—
747	C₂×#41	C₂²×D₆₇	1	2	yes	—
748	C₂×#41	C₂²×D₆₇	1	2	yes	—
749	C₂×#41	C₂²×D₆₇	1	2	yes	—
750	C₂×#41	C₂²×D₆₇	1	2	yes	—
751	C₂²×Q₈	—	67	1	no	—
752	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
753	C₂²×D₄	—	67	4	no	—
754	C₂²×D₄	—	67	2	no	—
755	C₂²×D₄	—	67	4	no	—
756	C₂²×D₄	—	67	1	no	—
757	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
758	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
759	C₂³×C₄	—	67	4	no	—
760	C₂³×C₄	—	67	1	no	—
761	C₂³×C₄	—	67	1	no	—
762	C₂³×C₄	—	67	2	no	—
763	C₂³×C₄	—	67	2	no	—
764	C₂³×C₄	—	67	2	no	—
765	C₂³×C₄	—	67	2	no	—
766	C₂³×C₄	—	67	2	no	—
767	C₂³×C₄	—	67	1	no	—
768	C₂³×C₄	—	67	1	no	—
769	C₂³×C₄	—	67	1	no	—
770	C₂³×C₄	—	134	8	no	—
771	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
772	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
773	C₄⋊Q₈	—	67	4	no	—
774	C₄⋊Q₈	—	67	8	no	—
775	C₄⋊Q₈	—	67	8	no	—
776	C₄⋊Q₈	—	67	8	no	—
777	#127	—	67	4	no	—
778	#126	—	67	16	no	—
779	#126	—	67	16	no	—
780	#126	—	67	16	no	—
781	#126	—	67	16	no	—
782	#126	—	67	16	no	—
783	#126	—	67	16	no	—
784	#125	—	67	8	no	—
785	#125	—	67	16	no	—
786	#125	—	67	16	no	—
787	#125	—	67	8	no	—
788	#125	—	67	16	no	—
789	#125	—	67	8	no	—
790	#124	—	67	4	no	—
791	#124	—	67	4	no	—
792	#124	—	67	16	no	—
793	#124	—	67	16	no	—
794	#124	—	67	16	no	—
795	#123	—	67	4	no	—
796	#123	—	67	4	no	—
797	#123	—	67	8	no	—
798	#123	—	67	8	no	—
799	#123	—	67	8	no	—
800	#123	—	67	16	no	—
801	#123	—	67	16	no	—
802	#123	—	67	16	no	—
803	#123	—	67	16	no	—
804	#123	—	67	4	no	—
805	#123	—	67	4	no	—
806	#123	—	67	8	no	—
807	#123	—	67	16	no	—
808	#123	—	67	16	no	—
809	C₂²⋊Q₈	—	67	4	no	—
810	C₂²⋊Q₈	—	67	4	no	—
811	C₂²⋊Q₈	—	67	4	no	—
812	C₂²⋊Q₈	—	67	4	no	—
813	C₂²⋊Q₈	—	67	8	no	—
814	C₂²⋊Q₈	—	67	8	no	—
815	C₂²⋊Q₈	—	67	16	no	—
816	C₂²⋊Q₈	—	67	16	no	—
817	C₂²⋊Q₈	—	67	4	no	—
818	C₂²⋊Q₈	—	67	4	no	—
819	C₂²⋊Q₈	—	67	4	no	—
820	C₂²⋊Q₈	—	67	4	no	—
821	C₂²⋊Q₈	—	67	16	no	—
822	C₂²⋊Q₈	—	67	16	no	—
823	C₂²⋊Q₈	—	67	16	no	—
824	C₂²⋊Q₈	—	67	16	no	—
825	#121	—	67	4	no	—
826	#121	—	67	4	no	—
827	#121	—	67	4	no	—
828	#121	—	67	4	no	—
829	#121	—	67	16	no	—
830	#121	—	67	8	no	—
831	#121	—	67	8	no	—
832	#121	—	67	16	no	—
833	#121	—	67	4	no	—
834	#121	—	67	4	no	—
835	#121	—	67	4	no	—
836	#121	—	67	4	no	—
837	#121	—	67	16	no	—
838	#121	—	67	16	no	—
839	#120	—	67	8	no	—
840	#120	—	67	4	no	—
841	#120	—	67	4	no	—
842	#120	—	67	8	no	—
843	#120	—	67	8	no	—
844	#120	—	67	4	no	—
845	#120	—	67	4	no	—
846	#120	—	67	8	no	—
847	C₄×Q₈	—	67	8	no	—
848	C₄×Q₈	—	67	8	no	—
849	C₄×Q₈	—	67	16	no	—
850	C₄×Q₈	—	67	16	no	—
851	C₄×Q₈	C₂²×D₆₇	1	8	yes	complemented
852	C₄×Q₈	C₂²×D₆₇	1	8	yes	complemented
853	C₄×D₄	—	67	8	no	—
854	C₄×D₄	—	67	8	no	—
855	C₄×D₄	—	67	8	no	—
856	C₄×D₄	—	67	8	no	—
857	C₄×D₄	—	67	16	no	—
858	C₄×D₄	—	67	16	no	—
859	C₄×D₄	—	67	16	no	—
860	C₄×D₄	—	67	16	no	—
861	C₄×D₄	—	67	8	no	—
862	C₄×D₄	—	67	16	no	—
863	C₄×D₄	—	67	8	no	—
864	C₄×D₄	—	67	8	no	—
865	C₄×D₄	—	67	8	no	—
866	C₄×D₄	—	67	8	no	—
867	C₄×D₄	—	67	8	no	—
868	C₄×D₄	—	67	16	no	—
869	C₄×D₄	C₂²×D₆₇	1	16	yes	—
870	C₄×D₄	C₂²×D₆₇	1	16	yes	—
871	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
872	C₄×D₄	C₂²×D₆₇	1	8	yes	complemented
873	#117	—	67	2	no	—
874	#117	—	67	2	no	—
875	#117	—	67	2	no	—
876	#117	—	67	2	no	—
877	#117	—	67	2	no	—
878	#117	—	67	2	no	—
879	#117	—	67	2	no	—
880	#117	—	67	2	no	—
881	#117	—	67	16	no	—
882	#117	—	67	4	no	—
883	#117	—	67	4	no	—
884	#117	—	67	4	no	—
885	#117	—	67	4	no	—
886	#117	—	67	8	no	—
887	#117	—	67	8	no	—
888	#117	—	67	8	no	—
889	#117	—	67	8	no	—
890	#117	—	67	8	no	—
891	#117	—	67	8	no	—
892	#117	—	67	8	no	—
893	#117	—	67	16	no	—
894	#117	—	67	16	no	—
895	#117	C₂²×D₆₇	1	2	yes	—
896	#117	C₂²×D₆₇	1	2	yes	—
897	#117	C₂²×D₆₇	1	2	yes	—
898	#117	C₂²×D₆₇	1	2	yes	—
899	#117	C₂²×D₆₇	1	2	yes	—
900	#117	C₂²×D₆₇	1	2	yes	—
901	#117	C₂²×D₆₇	1	2	yes	—
902	#117	C₂²×D₆₇	1	2	yes	—
903	#117	C₂²×D₆₇	1	8	yes	—
904	#117	C₂²×D₆₇	1	8	yes	complemented
905	#117	C₂²×D₆₇	1	8	yes	complemented
906	C₂×C₄⋊C₄	—	67	2	no	—
907	C₂×C₄⋊C₄	—	67	4	no	—
908	C₂×C₄⋊C₄	—	67	2	no	—
909	C₂×C₄⋊C₄	—	67	4	no	—
910	C₂×C₄⋊C₄	—	67	4	no	—
911	C₂×C₄⋊C₄	—	67	4	no	—
912	C₂×C₄⋊C₄	—	67	4	no	—
913	C₂×C₄⋊C₄	—	67	4	no	—
914	C₂×C₄⋊C₄	—	67	4	no	—
915	C₂×C₄⋊C₄	—	67	8	no	—
916	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	—
917	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	—
918	C₂×C₄⋊C₄	C₂²×D₆₇	1	8	yes	complemented
919	C₂×C₂²⋊C₄	—	67	2	no	—
920	C₂×C₂²⋊C₄	—	67	2	no	—
921	C₂×C₂²⋊C₄	—	67	4	no	—
922	C₂×C₂²⋊C₄	—	67	4	no	—
923	C₂×C₂²⋊C₄	—	67	4	no	—
924	C₂×C₂²⋊C₄	—	67	4	no	—
925	C₂×C₂²⋊C₄	—	67	4	no	—
926	C₂×C₂²⋊C₄	—	67	8	no	—
927	C₂×C₂²⋊C₄	—	67	8	no	—
928	C₂×C₂²⋊C₄	—	67	8	no	—
929	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
930	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
931	C₂×C₂²⋊C₄	C₂²×D₆₇	1	8	yes	—
932	C₂×C₄²	—	67	4	no	—
933	C₂×C₄²	—	67	2	no	—
934	C₂×C₄²	—	67	2	no	—
935	C₂×C₄²	—	67	8	no	—
936	C₂×C₄²	—	67	8	no	—
937	C₂×C₄²	—	67	8	no	—
938	C₂×C₄²	C₂²×D₆₇	1	2	yes	—
939	C₂×C₄²	C₂²×D₆₇	1	2	yes	—
940	C₂×C₄²	C₂²×D₆₇	1	8	yes	complemented
941	C₂⁴	—	268	4	no	—
942	C₂⁴	—	67	2	no	—
943	C₂⁴	—	67	1	no	—
944	C₂⁴	—	67	2	no	—
945	C₂⁴	—	67	2	no	—
946	C₂⁴	—	67	1	no	—
947	C₂⁴	—	134	4	no	—
948	C₂⁴	C₂³×D₆₇	1	2	yes	—
949	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
950	#41	—	2	8	no	—
951	#41	—	2	8	no	—
952	#41	—	2	8	no	—
953	#41	—	2	8	no	—
954	#41	—	268	32	no	—
955	#41	—	134	8	no	—
956	#41	—	134	8	no	—
957	#41	—	134	8	no	—
958	#41	—	134	8	no	—
959	C₂×Q₈	—	2	4	no	—
960	C₂×Q₈	—	67	16	no	—
961	C₂×Q₈	—	67	2	no	—
962	C₂×Q₈	—	67	2	no	—
963	C₂×Q₈	—	134	4	no	—
964	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
965	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
966	C₂×D₄	—	2	8	no	—
967	C₂×D₄	—	2	4	no	—
968	C₂×D₄	—	268	8	no	—
969	C₂×D₄	—	268	8	no	—
970	C₂×D₄	—	67	8	no	—
971	C₂×D₄	—	67	16	no	—
972	C₂×D₄	—	67	4	no	—
973	C₂×D₄	—	67	8	no	—
974	C₂×D₄	—	67	4	no	—
975	C₂×D₄	—	67	8	no	—
976	C₂×D₄	—	67	8	no	—
977	C₂×D₄	—	67	2	no	—
978	C₂×D₄	—	67	2	no	—
979	C₂×D₄	—	134	8	no	—
980	C₂×D₄	—	134	4	no	—
981	C₂×D₄	C₂³×D₆₇	1	4	yes	—
982	C₂×D₄	C₂³×D₆₇	1	4	yes	—
983	C₂×D₄	C₂³×D₆₇	1	2	yes	—
984	C₂×D₄	C₂³×D₆₇	1	2	yes	—
985	C₂²×C₄	—	2	8	no	—
986	C₂²×C₄	—	268	8	no	—
987	C₂²×C₄	—	67	4	no	—
988	C₂²×C₄	—	67	4	no	—
989	C₂²×C₄	—	67	8	no	—
990	C₂²×C₄	—	67	16	no	—
991	C₂²×C₄	—	67	1	no	—
992	C₂²×C₄	—	67	2	no	—
993	C₂²×C₄	—	67	2	no	—
994	C₂²×C₄	—	67	2	no	—
995	C₂²×C₄	—	67	1	no	—
996	C₂²×C₄	—	67	2	no	—
997	C₂²×C₄	—	67	8	no	—
998	C₂²×C₄	—	67	2	no	—
999	C₂²×C₄	—	67	2	no	—
1000	C₂²×C₄	—	67	4	no	—
1001	C₂²×C₄	—	67	2	no	—
1002	C₂²×C₄	—	67	2	no	—
1003	C₂²×C₄	—	67	2	no	—
1004	C₂²×C₄	—	67	2	no	—
1005	C₂²×C₄	—	67	4	no	—
1006	C₂²×C₄	—	67	2	no	—
1007	C₂²×C₄	—	134	4	no	—
1008	C₂²×C₄	—	134	8	no	—
1009	C₂²×C₄	—	134	8	no	—
1010	C₂²×C₄	—	134	8	no	—
1011	C₂²×C₄	—	134	8	no	—
1012	C₂²×C₄	—	134	4	no	—
1013	C₂²×C₄	—	134	4	no	—
1014	C₂²×C₄	—	134	4	no	—
1015	C₂²×C₄	—	134	4	no	—
1016	C₂²×C₄	—	134	8	no	—
1017	C₂²×C₄	#11761628	1	8	yes	complemented
1018	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1019	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1020	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1021	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1022	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1023	C₂²×C₄	C₂³×D₆₇	1	16	yes	—
1024	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1029	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1030	C₄⋊C₄	—	67	4	no	—
1031	C₄⋊C₄	—	67	4	no	—
1032	C₄⋊C₄	—	67	4	no	—
1033	C₄⋊C₄	—	67	8	no	—
1034	C₄⋊C₄	—	67	8	no	—
1035	C₄⋊C₄	—	67	4	no	—
1036	C₄⋊C₄	—	67	8	no	—
1037	C₄⋊C₄	—	67	16	no	—
1038	C₄⋊C₄	—	67	8	no	—
1039	C₄⋊C₄	—	67	8	no	—
1040	C₄⋊C₄	—	67	8	no	—
1041	C₄⋊C₄	—	67	16	no	—
1042	C₄⋊C₄	—	67	16	no	—
1043	C₄⋊C₄	—	67	16	no	—
1044	C₄⋊C₄	—	67	16	no	—
1045	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1046	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1047	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1048	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1049	C₄⋊C₄	C₂³×D₆₇	1	16	yes	—
1050	C₂²⋊C₄	—	67	4	no	—
1051	C₂²⋊C₄	—	67	4	no	—
1052	C₂²⋊C₄	—	67	4	no	—
1053	C₂²⋊C₄	—	67	4	no	—
1054	C₂²⋊C₄	—	67	8	no	—
1055	C₂²⋊C₄	—	67	8	no	—
1056	C₂²⋊C₄	—	67	16	no	—
1057	C₂²⋊C₄	—	67	8	no	—
1058	C₂²⋊C₄	—	67	8	no	—
1059	C₂²⋊C₄	—	67	8	no	—
1060	C₂²⋊C₄	—	67	8	no	—
1061	C₂²⋊C₄	—	67	8	no	—
1062	C₂²⋊C₄	—	67	16	no	—
1063	C₂²⋊C₄	—	67	8	no	—
1064	C₂²⋊C₄	—	67	8	no	—
1065	C₂²⋊C₄	—	67	8	no	—
1066	C₂²⋊C₄	—	67	16	no	—
1067	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1068	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1069	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1070	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1071	C₂²⋊C₄	C₂³×D₆₇	1	16	yes	—
1072	C₄²	—	67	8	no	—
1073	C₄²	—	67	8	no	—
1074	C₄²	—	67	4	no	—
1075	C₄²	—	67	16	no	—
1076	C₄²	—	67	4	no	—
1077	C₄²	—	67	4	no	—
1078	C₄²	—	67	4	no	—
1079	C₄²	C₂³×D₆₇	1	4	yes	—
1080	C₄²	C₂³×D₆₇	1	4	yes	—
1081	C₄²	C₂³×D₆₇	1	16	yes	—
1082	C₄²	C₂³×D₆₇	1	4	yes	—
1083	C₄²	C₂³×D₆₇	1	4	yes	—
1084	C₂³	—	2	4	no	—
1085	C₂³	—	4	2	no	—
1086	C₂³	—	4	4	no	—
1087	C₂³	—	268	2	no	—
1088	C₂³	—	268	2	no	—
1089	C₂³	—	268	2	no	—
1090	C₂³	—	268	4	no	—
1091	C₂³	—	268	16	no	—
1092	C₂³	—	67	2	no	—
1093	C₂³	—	67	2	no	—
1094	C₂³	—	67	4	no	—
1095	C₂³	—	134	4	no	—
1096	C₂³	—	134	4	no	—
1097	C₂³	—	134	4	no	—
1098	C₂³	—	134	2	no	—
1099	C₂³	—	134	4	no	—
1100	C₂³	—	134	4	no	—
1101	C₂³	—	134	4	no	—
1102	C₂³	—	134	2	no	—
1103	C₂³	C₂×#11761628	1	4	yes	—
1104	C₂³	C₂⁴×D₆₇	1	4	yes	—
1105	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1106	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1107	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1108	Q₈	—	2	4	no	—
1109	Q₈	—	2	4	no	—
1110	Q₈	—	268	16	no	—
1111	Q₈	—	134	4	no	—
1112	Q₈	—	134	4	no	—
1113	D₄	—	2	8	no	—
1114	D₄	—	2	8	no	—
1115	D₄	—	2	4	no	—
1116	D₄	—	2	4	no	—
1117	D₄	—	268	8	no	—
1118	D₄	—	268	8	no	—
1119	D₄	—	268	16	no	—
1120	D₄	—	134	16	no	—
1121	D₄	—	134	16	no	—
1122	D₄	—	134	8	no	—
1123	D₄	—	134	8	no	—
1124	D₄	—	134	4	no	—
1125	D₄	—	134	4	no	—
1126	C₂×C₄	—	2	4	no	—
1127	C₂×C₄	—	2	8	no	—
1128	C₂×C₄	—	2	8	no	—
1129	C₂×C₄	—	4	4	no	—
1130	C₂×C₄	—	4	4	no	—
1131	C₂×C₄	—	4	16	no	—
1132	C₂×C₄	—	268	8	no	—
1133	C₂×C₄	—	268	16	no	—
1134	C₂×C₄	—	268	4	no	—
1135	C₂×C₄	—	268	4	no	—
1136	C₂×C₄	—	67	2	no	—
1137	C₂×C₄	—	67	4	no	—
1138	C₂×C₄	—	67	8	no	—
1139	C₂×C₄	—	67	8	no	—
1140	C₂×C₄	—	67	2	no	—
1141	C₂×C₄	—	134	16	no	—
1142	C₂×C₄	—	134	4	no	—
1143	C₂×C₄	—	134	4	no	—
1144	C₂×C₄	—	134	2	no	—
1145	C₂×C₄	—	134	2	no	—
1146	C₂×C₄	—	134	4	no	—
1147	C₂×C₄	—	134	4	no	—
1148	C₂×C₄	—	134	4	no	—
1149	C₂×C₄	—	134	4	no	—
1150	C₂×C₄	—	134	4	no	—
1151	C₂×C₄	—	134	4	no	—
1152	C₂×C₄	—	134	4	no	—
1153	C₂×C₄	—	134	4	no	—
1154	C₂×C₄	—	134	4	no	—
1155	C₂×C₄	—	134	8	no	—
1156	C₂×C₄	—	134	8	no	—
1157	C₂×C₄	C₂×#11761628	1	4	yes	—
1158	C₂×C₄	C₂×#11761628	1	4	yes	—
1159	C₂×C₄	C₂×#11761628	1	4	yes	—
1160	C₂×C₄	C₂×#11761628	1	4	yes	—
1161	C₂×C₄	C₂×#11761628	1	4	yes	—
1162	C₂×C₄	C₂×#11761628	1	4	yes	—
1163	C₂×C₄	C₂⁴×D₆₇	1	8	yes	—
1164	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1165	C₂×C₄	C₂⁴×D₆₇	1	8	yes	—
1166	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1167	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1168	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1169	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1170	C₂²	—	2	2	no	—
1171	C₂²	—	2	2	no	—
1172	C₂²	—	2	2	no	—
1173	C₂²	—	2	4	no	—
1174	C₂²	—	2	8	no	—
1175	C₂²	—	4	4	no	—
1176	C₂²	—	8	4	no	—
1177	C₂²	—	268	4	no	—
1178	C₂²	—	268	8	no	—
1179	C₂²	—	268	8	no	—
1180	C₂²	—	536	4	no	—
1181	C₂²	—	67	4	no	—
1182	C₂²	—	134	8	no	—
1183	C₂²	—	134	2	no	—
1184	C₂²	—	134	4	no	—
1185	C₂²	—	134	8	no	—
1186	C₂²	—	134	2	no	—
1187	C₂²	—	134	2	no	—
1188	C₂²	—	134	2	no	—
1189	C₂²	—	134	2	no	—
1190	C₂²	C₂²×#11761628	1	2	yes	—
1191	C₂²	C₂²×#11761628	1	2	yes	—
1192	C₂²	C₂²×#11761628	1	2	yes	—
1193	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1194	C₄	—	2	4	no	—
1195	C₄	—	2	8	no	—
1196	C₄	—	2	8	no	—
1197	C₄	—	134	2	no	—
1198	C₄	—	134	2	no	—
1199	C₄	—	134	4	no	—
1200	C₄	—	134	8	no	—
1201	C₄	—	134	8	no	—
1202	C₄	C₂²×#11761628	1	2	yes	—
1203	C₄	C₂²×#11761628	1	2	yes	—
1204	C₄	C₂²×#11761628	1	2	yes	—
1205	C₄	C₂²×#11761628	1	2	yes	—
1206	C₂	—	2	2	no	—
1207	C₂	—	2	2	no	—
1208	C₂	—	2	2	no	—
1209	C₂	—	4	4	no	—
1210	C₂	—	268	2	no	—
1211	C₂	—	268	4	no	—
1212	C₂	—	134	4	no	—
1213	C₂	C₂³×#11761628	1	1	yes	characteristic
1214	C₂	#585×D₆₇	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₆₇×#3428	C₂
hypercenter	#3428	D₆₇
hypocenter	C₆₇	#62814
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ #3428

Complements

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

N	H ≅ G/N	type
1. #22573962	C₂	semidirect
2. #22573951	C₂	semidirect
3. #22573945	C₂	semidirect
4. #22573934	C₂	semidirect
5. #22573922	C₂	semidirect
6. #22573912	C₂	semidirect
7. #22573902	C₂	semidirect
8. #22573894	C₂	semidirect
9. #22573773	C₂	semidirect
10. #22573763	C₂	semidirect
11. #22573614	C₂	semidirect
12. #22573594	C₂	semidirect
13. #22573538	C₂	semidirect
14. #22573502	C₂	semidirect
15. C₂×#16863908	C₂	semidirect
16. C₂×#16863903	C₂	semidirect
17. #22573410	C₂	semidirect
18. C₂×#117×D₆₇	C₂	semidirect
19. C₆₇×#3428	C₂	semidirect
22. #16864119	C₂²	semidirect
23. #16864114	C₂²	semidirect
24. #16864111	C₂²	semidirect
25. #16864109	C₂²	semidirect
26. #16864106	C₂²	semidirect
27. #16864101	C₂²	semidirect
28. #16864096	C₂²	semidirect
29. #16864096	C₂²	semidirect
30. #16864094	C₂²	semidirect
31. #16864090	C₂²	semidirect
32. #16864087	C₂²	semidirect
33. #16864087	C₂²	semidirect
34. #16864086	C₂²	semidirect
35. #16864085	C₂²	semidirect
36. #16864081	C₂²	semidirect
37. #16864079	C₂²	semidirect
38. #16864075	C₂²	semidirect
39. #16864075	C₂²	semidirect
40. #16864072	C₂²	semidirect
41. #16864070	C₂²	semidirect
42. #16864051	C₂²	semidirect
43. #16864047	C₂²	semidirect
44. #16864042	C₂²	semidirect
45. #16864036	C₂²	semidirect
46. #16864027	C₂²	semidirect
47. #16864024	C₂²	semidirect
48. #16864024	C₂²	semidirect
50. #16864018	C₂²	semidirect
51. #16864011	C₂²	semidirect
52. #16864004	C₂²	semidirect
53. #16863997	C₂²	semidirect
54. #16863988	C₂²	semidirect
55. #16863979	C₂²	semidirect
56. #16863974	C₂²	semidirect
57. #16863970	C₂²	semidirect
58. #16863967	C₂²	semidirect
59. #16863963	C₂²	semidirect
60. #16863960	C₂²	semidirect
62. #16863953	C₂²	semidirect
63. #16863950	C₂²	semidirect
64. #16863949	C₂²	semidirect
65. #16863949	C₂²	semidirect
66. #16863943	C₂²	semidirect
67. #16863942	C₂²	semidirect
68. #16863933	C₂²	semidirect
69. #16863930	C₂²	semidirect
70. #16863928	C₂²	semidirect
71. #16863926	C₂²	semidirect
72. #16863924	C₂²	semidirect
73. #16863924	C₂²	semidirect
76. #16863908	C₂²	semidirect
77. #16863908	C₂²	semidirect
78. #16863908	C₂²	semidirect
79. #16863908	C₂²	semidirect
80. #16863907	C₂²	semidirect
81. #16863905	C₂²	semidirect
84. #16863903	C₂²	semidirect
85. #16863903	C₂²	semidirect
86. #16863903	C₂²	semidirect
87. #16863903	C₂²	semidirect
88. #16863903	C₂²	semidirect
91. C₂×#14524023	C₂²	semidirect
92. C₂×#14524019	C₂²	semidirect
93. C₂×#14524018	C₂²	semidirect
94. C₂×#14524014	C₂²	semidirect
97. #16863877	C₂²	semidirect
98. #16863876	C₂²	semidirect
99. #16863873	C₂²	semidirect
100. #16863870	C₂²	semidirect
102. C₄×#11761628	C₂²	semidirect
103. C₄×#11761628	C₂²	semidirect
104. #16863864	C₂²	semidirect
105. C₂×C₄×D₂₆₈	C₂²	semidirect
106. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
109. C₂×#14524001	C₂²	semidirect
110. C₂×#14524000	C₂²	semidirect
112. #117×D₆₇	C₂²	semidirect
113. #117×D₆₇	C₂²	semidirect
114. #117×D₆₇	C₂²	semidirect
115. #117×D₆₇	C₂²	semidirect
116. #117×D₆₇	C₂²	semidirect
117. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
119. C₂×C₄²×D₆₇	C₂²	semidirect
121. #520×C₆₇	C₂²	semidirect
122. #520×C₆₇	C₂²	semidirect
123. #519×C₆₇	C₂²	semidirect
125. #518×C₆₇	C₂²	semidirect
126. C₄×#41×C₆₇	C₂²	semidirect
127. C₄×#41×C₆₇	C₂²	semidirect
130. C₂×#117×C₆₇	C₂²	semidirect
155. #14524043	C₂³	semidirect
156. #14524042	C₂³	semidirect
157. #14524042	C₂³	semidirect
158. #14524041	C₂³	semidirect
159. #14524039	C₂³	semidirect
161. #14524038	C₂³	semidirect
163. #14524037	C₂³	semidirect
164. #14524036	C₂³	semidirect
165. #14524036	C₂³	semidirect
166. #14524035	C₂³	semidirect
167. #14524035	C₂³	semidirect
168. #14524034	C₂³	semidirect
169. #14524034	C₂³	semidirect
170. #14524033	C₂³	semidirect
171. #14524033	C₂³	semidirect
172. #14524032	C₂³	semidirect
174. #14524030	C₂³	semidirect
176. #14524029	C₂³	semidirect
184. #14524026	C₂³	semidirect
186. #14524025	C₂³	semidirect
196. #14524022	C₂³	semidirect
197. #14524022	C₂³	semidirect
199. #14524021	C₂³	semidirect
206. #14524019	C₂³	semidirect
212. #14524017	C₂³	semidirect
220. #14524014	C₂³	semidirect
229. C₄×Dic₁₃₄	C₂³	semidirect
230. C₄×Dic₁₃₄	C₂³	semidirect
231. C₄×Dic₁₃₄	C₂³	semidirect
232. #14524008	C₂³	semidirect
238. C₄×D₂₆₈	C₂³	semidirect
239. #14524005	C₂³	semidirect
246. C₄×C₂²⋊D₆₇	C₂³	semidirect
247. C₄×C₂²⋊D₆₇	C₂³	semidirect
257. #14524002	C₂³	semidirect
262. #14524001	C₂³	semidirect
266. #14524000	C₂³	semidirect
267. #14524000	C₂³	semidirect
280. C₄⋊C₄×D₆₇	C₂³	semidirect
296. C₄²×D₆₇	C₂³	semidirect
307. C₄×Q₈×C₆₇	C₂³	semidirect
308. C₄×Q₈×C₆₇	C₂³	semidirect
311. C₄×D₄×C₆₇	C₂³	semidirect
312. C₄×D₄×C₆₇	C₂³	semidirect
322. #117×C₆₇	C₂³	semidirect
323. #117×C₆₇	C₂³	semidirect
326. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
332. C₂×C₄²×C₆₇	C₂³	semidirect
448. C₂²×C₄×C₆₇	#41	semidirect
625. #3428	D₆₇	semidirect
627. C₆₇	#62814	semidirect
708. #520	C₂×D₆₇	semidirect
709. #520	C₂×D₆₇	semidirect
711. #519	C₂×D₆₇	semidirect
715. #518	C₂×D₆₇	semidirect
719. C₄×#41	C₂×D₆₇	semidirect
720. C₄×#41	C₂×D₆₇	semidirect
735. C₂×#117	C₂×D₆₇	semidirect
851. C₄×Q₈	C₂²×D₆₇	semidirect
852. C₄×Q₈	C₂²×D₆₇	semidirect
871. C₄×D₄	C₂²×D₆₇	semidirect
872. C₄×D₄	C₂²×D₆₇	semidirect
904. #117	C₂²×D₆₇	semidirect
905. #117	C₂²×D₆₇	semidirect
918. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
940. C₂×C₄²	C₂²×D₆₇	semidirect
1017. C₂²×C₄	#11761628	semidirect

Maximal subgroups

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

subgroup	index
#22573962	2
#22573951	2
#22573945	2
#22573934	2
#22573922	2
#22573912	2
#22573902	2
#22573894	2
#22573773	2
#22573763	2
#22573614	2
#22573594	2
#22573538	2
#22573502	2
C₂×#16863908	2
C₂×#16863903	2
#22573410	2
C₂×#117×D₆₇	2
C₆₇×#3428	2
#62814	67