Subgroups — C₆₇×#60936 #30740187

Order 17152.

1772 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3495	C₂	1	2	yes	maximal, complemented
2	C₆₇×#3262	C₂	1	2	yes	maximal, complemented
3	C₆₇×#3261	C₂	1	2	yes	maximal, complemented
4	C₆₇×#3258	C₂	1	4	yes	maximal, complemented
5	C₆₇×#3250	C₂	1	2	yes	maximal, complemented
6	C₆₇×#3249	C₂	1	2	yes	maximal, complemented
7	C₆₇×#3248	C₂	1	4	yes	maximal, complemented
8	C₆₇×#3083	C₂	1	2	yes	maximal, complemented
9	C₆₇×#3082	C₂	1	2	yes	maximal, complemented
10	C₆₇×#3056	C₂	1	2	yes	maximal, complemented
11	C₆₇×#3050	C₂	1	1	yes	maximal, characteristic
12	C₂×#467×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#3046	C₂	1	2	yes	maximal, complemented
14	C₆₇×#3044	C₂	1	2	yes	maximal, complemented
15	C₂×#424×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#137×C₆₇	C₂²	1	2	yes	—
17	C₂×#135×C₆₇	C₂²	1	1	yes	characteristic
18	C₂²×Q₁₆×C₆₇	C₂²	1	1	yes	characteristic
19	C₂²×M₁₆×C₆₇	C₂²	1	1	yes	characteristic
20	C₂³×C₈×C₆₇	C₂²	1	1	yes	characteristic
21	#556×C₆₇	—	2	2	no	—
22	#554×C₆₇	—	2	2	no	—
23	#552×C₆₇	—	2	4	no	—
24	#552×C₆₇	—	2	2	no	—
25	#552×C₆₇	—	2	2	no	—
26	#551×C₆₇	—	2	4	no	—
27	#544×C₆₇	C₂²	1	2	yes	—
28	#542×C₆₇	C₂²	1	4	yes	—
29	#541×C₆₇	C₂²	1	4	yes	—
30	#536×C₆₇	C₂²	1	2	yes	—
31	#533×C₆₇	C₂²	1	4	yes	—
32	#529×C₆₇	C₂²	1	4	yes	—
33	#525×C₆₇	C₂²	1	2	yes	—
34	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	2	yes	—
35	#520×C₆₇	C₂²	1	2	yes	—
36	#519×C₆₇	C₂²	1	2	yes	—
37	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
38	#479×C₆₇	C₂²	1	4	yes	complemented
39	#479×C₆₇	C₂²	1	4	yes	complemented
40	#479×C₆₇	C₂²	1	4	yes	complemented
41	#478×C₆₇	C₂²	1	4	yes	complemented
42	#477×C₆₇	C₂²	1	4	yes	complemented
43	#477×C₆₇	C₂²	1	4	yes	complemented
44	#475×C₆₇	C₂²	1	4	yes	complemented
45	#474×C₆₇	C₂²	1	4	yes	complemented
46	#470×C₆₇	C₂²	1	4	yes	—
47	#468×C₆₇	C₂²	1	4	yes	—
48	#467×C₆₇	C₂²	1	2	yes	—
49	#467×C₆₇	C₂²	1	2	yes	—
50	#467×C₆₇	C₂²	1	2	yes	—
51	#467×C₆₇	C₂²	1	2	yes	—
52	#467×C₆₇	C₂²	1	1	yes	characteristic
53	#467×C₆₇	C₂²	1	1	yes	characteristic
54	#467×C₆₇	C₂²	1	4	yes	—
55	#466×C₆₇	C₂²	1	1	yes	characteristic
56	#466×C₆₇	C₂²	1	1	yes	characteristic
57	#465×C₆₇	C₂²	1	2	yes	—
58	#465×C₆₇	C₂²	1	2	yes	—
59	#465×C₆₇	C₂²	1	4	yes	—
60	#464×C₆₇	C₂²	1	4	yes	complemented
61	#464×C₆₇	C₂²	1	4	yes	complemented
62	#464×C₆₇	C₂²	1	4	yes	complemented
63	#463×C₆₇	C₂²	1	4	yes	complemented
64	#462×C₆₇	C₂²	1	4	yes	complemented
65	#462×C₆₇	C₂²	1	4	yes	complemented
66	#462×C₆₇	C₂²	1	4	yes	complemented
67	#461×C₆₇	C₂²	1	4	yes	complemented
68	#428×C₆₇	C₂²	1	2	yes	—
69	#427×C₆₇	C₂²	1	1	yes	characteristic
70	C₂×#107×C₆₇	C₂²	1	1	yes	characteristic
71	#424×C₆₇	C₂²	1	2	yes	—
72	#424×C₆₇	C₂²	1	2	yes	—
73	#424×C₆₇	C₂²	1	2	yes	—
74	#424×C₆₇	C₂²	1	2	yes	—
75	C₂×C₄⋊C₈×C₆₇	C₂²	1	2	yes	—
76	C₂×C₄⋊C₈×C₆₇	C₂²	1	2	yes	—
77	#419×C₆₇	C₂²	1	2	yes	—
78	#417×C₆₇	C₂²	1	2	yes	—
79	#416×C₆₇	C₂²	1	2	yes	—
80	C₂×#103×C₆₇	C₂²	1	2	yes	—
81	C₂×#41×C₆₇	C₂³	1	2	yes	—
82	C₂²×Q₈×C₆₇	C₂³	1	2	yes	—
83	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
84	#137×C₆₇	—	4	4	no	—
85	#135×C₆₇	—	4	2	no	—
86	C₂×Q₁₆×C₆₇	—	4	2	no	—
87	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
88	C₂×Q₁₆×C₆₇	C₂³	1	4	yes	—
89	C₂×Q₁₆×C₆₇	C₂³	1	2	yes	—
90	C₂×Q₁₆×C₆₇	C₂³	1	2	yes	—
91	C₂×SD₁₆×C₆₇	C₂³	1	2	yes	—
92	C₂×SD₁₆×C₆₇	C₂³	1	4	yes	—
93	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
94	C₂×M₁₆×C₆₇	—	4	2	no	—
95	C₂×M₁₆×C₆₇	C₂³	1	2	yes	—
96	C₂×M₁₆×C₆₇	C₂³	1	2	yes	—
97	C₂²×C₈×C₆₇	—	4	2	no	—
98	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
99	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
100	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
101	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
102	C₂²×C₈×C₆₇	C₂³	1	2	yes	—
103	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
104	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
105	C₄⋊Q₈×C₆₇	—	2	2	no	—
106	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	—
107	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	—
108	#126×C₆₇	—	2	4	no	—
109	#126×C₆₇	—	2	4	no	—
110	#126×C₆₇	—	2	4	no	—
111	#126×C₆₇	—	2	4	no	—
112	#125×C₆₇	—	2	4	no	—
113	#125×C₆₇	—	2	4	no	—
114	#125×C₆₇	—	2	2	no	—
115	#125×C₆₇	—	2	4	no	—
116	#125×C₆₇	C₂³	1	4	yes	—
117	#124×C₆₇	—	2	4	no	—
118	#124×C₆₇	C₂³	1	4	yes	—
119	#123×C₆₇	—	2	2	no	—
120	#123×C₆₇	—	2	4	no	—
121	#123×C₆₇	—	2	4	no	—
122	#123×C₆₇	—	2	4	no	—
123	C₂²⋊Q₈×C₆₇	—	2	2	no	—
124	C₂²⋊Q₈×C₆₇	—	2	2	no	—
125	C₂²⋊Q₈×C₆₇	—	2	4	no	—
126	C₂²⋊Q₈×C₆₇	—	2	2	no	—
127	C₂²⋊Q₈×C₆₇	—	2	2	no	—
128	C₂²⋊Q₈×C₆₇	—	2	4	no	—
129	C₂²⋊Q₈×C₆₇	—	2	4	no	—
130	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
131	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
132	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
133	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
134	#121×C₆₇	C₂³	1	2	yes	—
135	#121×C₆₇	C₂³	1	2	yes	—
136	#120×C₆₇	—	2	2	no	—
137	C₄×Q₈×C₆₇	—	2	2	no	—
138	C₄×Q₈×C₆₇	—	2	2	no	—
139	C₄×Q₈×C₆₇	—	2	4	no	—
140	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
141	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
142	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
143	C₄×D₄×C₆₇	—	2	2	no	—
144	C₄×D₄×C₆₇	—	2	2	no	—
145	C₄×D₄×C₆₇	—	2	4	no	—
146	C₄×D₄×C₆₇	—	2	4	no	—
147	C₄×D₄×C₆₇	C₂³	1	4	yes	—
148	#117×C₆₇	—	2	4	no	—
149	#117×C₆₇	—	2	2	no	—
150	#117×C₆₇	—	2	4	no	—
151	#117×C₆₇	—	2	4	no	—
152	#117×C₆₇	D₄	1	2	yes	—
153	#117×C₆₇	D₄	1	2	yes	—
154	#117×C₆₇	C₂³	1	2	yes	—
155	#117×C₆₇	C₂³	1	2	yes	—
156	#117×C₆₇	C₂³	1	2	yes	—
157	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
158	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
159	C₂×C₄⋊C₄×C₆₇	D₄	1	1	yes	characteristic
160	C₂×C₄⋊C₄×C₆₇	D₄	1	1	yes	characteristic
161	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
162	C₂×C₂²⋊C₄×C₆₇	—	2	2	no	—
163	C₂×C₂²⋊C₄×C₆₇	D₄	1	2	yes	—
164	C₂×C₄²×C₆₇	C₂³	1	2	yes	—
165	#107×C₆₇	C₂³	1	1	yes	characteristic
166	#107×C₆₇	C₂³	1	1	yes	characteristic
167	#107×C₆₇	C₂³	1	2	yes	—
168	#107×C₆₇	C₂³	1	2	yes	—
169	#107×C₆₇	C₂³	1	4	yes	—
170	#106×C₆₇	C₂³	1	2	yes	—
171	#106×C₆₇	C₂³	1	4	yes	—
172	C₄⋊C₈×C₆₇	C₂³	1	4	yes	—
173	C₄⋊C₈×C₆₇	C₂³	1	4	yes	—
174	C₄⋊C₈×C₆₇	C₂³	1	4	yes	—
175	C₄⋊C₈×C₆₇	C₂³	1	4	yes	—
176	#103×C₆₇	C₂³	1	4	yes	—
177	#103×C₆₇	C₂³	1	4	yes	—
178	#103×C₆₇	C₂³	1	2	yes	—
179	#103×C₆₇	C₂³	1	2	yes	—
180	#103×C₆₇	C₂³	1	4	yes	—
181	#103×C₆₇	C₂³	1	4	yes	—
182	#103×C₆₇	C₂³	1	4	yes	—
183	#102×C₆₇	C₂³	1	4	yes	—
184	#102×C₆₇	C₂³	1	2	yes	—
185	#102×C₆₇	C₂³	1	2	yes	—
186	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
187	#41×C₆₇	—	2	4	no	—
188	#41×C₆₇	—	2	4	no	—
189	C₂×Q₈×C₆₇	—	2	2	no	—
190	C₂×Q₈×C₆₇	—	2	4	no	—
191	C₂×Q₈×C₆₇	—	2	4	no	—
192	C₂×Q₈×C₆₇	—	2	4	no	—
193	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
194	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
195	C₂×D₄×C₆₇	—	2	2	no	—
196	C₂×D₄×C₆₇	—	2	2	no	—
197	C₂×D₄×C₆₇	—	2	2	no	—
198	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
199	C₂²×C₄×C₆₇	—	2	2	no	—
200	C₂²×C₄×C₆₇	—	2	2	no	—
201	C₂²×C₄×C₆₇	—	2	2	no	—
202	C₂²×C₄×C₆₇	—	2	2	no	—
203	C₂²×C₄×C₆₇	—	2	2	no	—
204	C₂²×C₄×C₆₇	—	2	4	no	—
205	C₂²×C₄×C₆₇	C₂×D₄	1	2	yes	—
206	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
207	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
208	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
209	C₂²×C₄×C₆₇	C₂×D₄	1	2	yes	—
210	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
211	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
213	Q₁₆×C₆₇	—	4	2	no	—
214	Q₁₆×C₆₇	—	4	2	no	—
215	Q₁₆×C₆₇	—	4	1	no	—
216	Q₁₆×C₆₇	—	4	4	no	—
217	SD₁₆×C₆₇	—	4	2	no	—
218	SD₁₆×C₆₇	—	4	4	no	—
219	D₈×C₆₇	—	4	1	no	—
220	M₁₆×C₆₇	—	2	4	no	—
221	M₁₆×C₆₇	—	4	2	no	—
222	C₂×C₈×C₆₇	—	2	2	no	—
223	C₂×C₈×C₆₇	—	2	2	no	—
224	C₂×C₈×C₆₇	—	4	1	no	—
225	C₂×C₈×C₆₇	—	4	1	no	—
226	C₂×C₈×C₆₇	—	4	1	no	—
227	C₂×C₈×C₆₇	—	4	1	no	—
228	C₂×C₈×C₆₇	—	4	2	no	—
229	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
230	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
231	C₂×C₈×C₆₇	C₂⁴	1	4	yes	—
232	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
233	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
234	C₄⋊C₄×C₆₇	—	2	2	no	—
235	C₄⋊C₄×C₆₇	—	2	4	no	—
236	C₄⋊C₄×C₆₇	—	2	4	no	—
237	C₄⋊C₄×C₆₇	—	2	4	no	—
238	C₄⋊C₄×C₆₇	—	2	4	no	—
239	C₄⋊C₄×C₆₇	—	2	4	no	—
240	C₄⋊C₄×C₆₇	—	2	4	no	—
241	C₄⋊C₄×C₆₇	—	2	4	no	—
242	C₄⋊C₄×C₆₇	—	2	4	no	—
243	C₄⋊C₄×C₆₇	—	2	2	no	—
244	C₄⋊C₄×C₆₇	—	2	4	no	—
245	C₄⋊C₄×C₆₇	—	2	2	no	—
246	C₄⋊C₄×C₆₇	—	2	4	no	—
247	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
248	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
249	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
250	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
251	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
252	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
253	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
254	C₂²⋊C₄×C₆₇	—	2	4	no	—
255	C₂²⋊C₄×C₆₇	—	2	4	no	—
256	C₂²⋊C₄×C₆₇	—	2	2	no	—
257	C₂²⋊C₄×C₆₇	—	2	2	no	—
258	C₂²⋊C₄×C₆₇	—	2	2	no	—
259	C₂²⋊C₄×C₆₇	—	2	2	no	—
260	C₂²⋊C₄×C₆₇	—	2	4	no	—
261	C₂²⋊C₄×C₆₇	—	2	4	no	—
262	C₂²⋊C₄×C₆₇	—	2	2	no	—
263	C₂²⋊C₄×C₆₇	—	2	4	no	—
264	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
265	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
266	C₄²×C₆₇	—	2	4	no	—
267	C₄²×C₆₇	—	2	4	no	—
268	C₄²×C₆₇	—	2	4	no	—
269	C₄²×C₆₇	—	2	2	no	—
270	C₄²×C₆₇	C₂×D₄	1	4	yes	—
271	C₄²×C₆₇	C₂⁴	1	4	yes	—
272	C₂³×C₆₇	—	2	2	no	—
273	C₂³×C₆₇	—	2	2	no	—
274	C₂³×C₆₇	—	2	2	no	—
275	C₂³×C₆₇	—	4	1	no	—
276	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
277	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
278	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
279	Q₈×C₆₇	—	2	4	no	—
280	Q₈×C₆₇	—	2	2	no	—
281	Q₈×C₆₇	—	2	4	no	—
282	Q₈×C₆₇	—	2	2	no	—
283	Q₈×C₆₇	—	4	4	no	—
284	Q₈×C₆₇	—	8	4	no	—
285	D₄×C₆₇	—	2	2	no	—
286	D₄×C₆₇	—	2	2	no	—
287	D₄×C₆₇	—	4	4	no	—
288	D₄×C₆₇	—	4	4	no	—
289	D₄×C₆₇	—	8	2	no	—
290	C₂×C₄×C₆₇	—	2	2	no	—
291	C₂×C₄×C₆₇	—	2	4	no	—
292	C₂×C₄×C₆₇	—	2	2	no	—
293	C₂×C₄×C₆₇	—	2	2	no	—
294	C₂×C₄×C₆₇	—	2	1	no	—
295	C₂×C₄×C₆₇	—	2	1	no	—
296	C₂×C₄×C₆₇	—	2	1	no	—
297	C₂×C₄×C₆₇	—	2	1	no	—
298	C₂×C₄×C₆₇	—	2	2	no	—
299	C₂×C₄×C₆₇	—	2	2	no	—
300	C₂×C₄×C₆₇	—	2	4	no	—
301	C₂×C₄×C₆₇	—	2	2	no	—
302	C₂×C₄×C₆₇	—	2	4	no	—
303	C₂×C₄×C₆₇	—	4	2	no	—
304	C₂×C₄×C₆₇	—	4	4	no	—
305	C₂×C₄×C₆₇	—	4	4	no	—
306	C₂×C₄×C₆₇	—	8	4	no	—
307	C₂×C₄×C₆₇	—	8	2	no	—
308	C₂×C₄×C₆₇	C₂²×D₄	1	4	yes	—
309	C₂×C₄×C₆₇	C₂²×D₄	1	4	yes	—
310	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
311	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
312	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
313	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
314	C₂×C₄×C₆₇	2₋¹⁺⁴	1	2	yes	—
315	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
316	C₈×C₆₇	—	2	1	no	—
317	C₈×C₆₇	—	2	1	no	—
318	C₈×C₆₇	—	2	1	no	—
319	C₈×C₆₇	—	2	1	no	—
320	C₈×C₆₇	—	2	4	no	—
321	C₂²×C₆₇	—	2	1	no	—
322	C₂²×C₆₇	—	2	1	no	—
323	C₂²×C₆₇	—	2	1	no	—
324	C₂²×C₆₇	—	2	1	no	—
325	C₂²×C₆₇	—	2	1	no	—
326	C₂²×C₆₇	—	2	1	no	—
327	C₂²×C₆₇	—	2	1	no	—
328	C₂²×C₆₇	—	4	4	no	—
329	C₂²×C₆₇	—	4	2	no	—
330	C₂²×C₆₇	—	4	2	no	—
331	C₂²×C₆₇	—	4	2	no	—
332	C₂²×C₆₇	#537	1	2	yes	—
333	C₂²×C₆₇	#578	1	2	yes	—
334	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
335	C₄×C₆₇	—	2	4	no	—
336	C₄×C₆₇	—	2	1	no	—
337	C₄×C₆₇	—	2	1	no	—
338	C₄×C₆₇	—	2	4	no	—
339	C₄×C₆₇	—	4	4	no	—
340	C₄×C₆₇	—	4	2	no	—
341	C₄×C₆₇	—	4	2	no	—
342	C₄×C₆₇	—	4	4	no	—
343	C₄×C₆₇	—	4	2	no	—
344	C₄×C₆₇	#537	1	2	yes	—
345	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
346	C₄×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
347	#60936	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
348	C₂×C₆₇	—	2	2	no	—
349	C₂×C₆₇	—	2	2	no	—
350	C₂×C₆₇	—	4	1	no	—
351	C₂×C₆₇	—	8	2	no	—
352	C₂×C₆₇	C₂×#537	1	1	yes	characteristic
353	C₂×C₆₇	C₂×#578	1	1	yes	characteristic
354	C₂×C₆₇	#3584	1	1	yes	characteristic
355	#3495	C₂×C₆₇	1	2	yes	complemented
356	#3262	C₂×C₆₇	1	2	yes	complemented
357	#3261	C₂×C₆₇	1	2	yes	complemented
358	#3258	C₂×C₆₇	1	4	yes	complemented
359	#3250	C₂×C₆₇	1	2	yes	complemented
360	#3249	C₂×C₆₇	1	2	yes	complemented
361	#3248	C₂×C₆₇	1	4	yes	complemented
362	#3083	C₂×C₆₇	1	2	yes	complemented
363	#3082	C₂×C₆₇	1	2	yes	complemented
364	#3056	C₂×C₆₇	1	2	yes	complemented
365	#3050	C₂×C₆₇	1	1	yes	characteristic
366	C₂×#467	C₂×C₆₇	1	1	yes	characteristic, complemented
367	#3046	C₂×C₆₇	1	2	yes	complemented
368	#3044	C₂×C₆₇	1	2	yes	complemented
369	C₂×#424	C₂×C₆₇	1	1	yes	characteristic, complemented
370	C₆₇	#60936	1	1	yes	characteristic, direct product factor, Sylow
371	C₂×#137	C₂²×C₆₇	1	2	yes	—
372	C₂×#135	C₂²×C₆₇	1	1	yes	characteristic
373	C₂²×Q₁₆	C₂²×C₆₇	1	1	yes	characteristic
374	C₂²×M₁₆	C₂²×C₆₇	1	1	yes	characteristic
375	C₂³×C₈	C₂²×C₆₇	1	1	yes	characteristic
376	#556	—	2	2	no	—
377	#554	—	2	2	no	—
378	#552	—	2	4	no	—
379	#552	—	2	2	no	—
380	#552	—	2	2	no	—
381	#551	—	2	4	no	—
382	#544	C₂²×C₆₇	1	2	yes	—
383	#542	C₂²×C₆₇	1	4	yes	—
384	#541	C₂²×C₆₇	1	4	yes	—
385	#536	C₂²×C₆₇	1	2	yes	—
386	#533	C₂²×C₆₇	1	4	yes	—
387	#529	C₂²×C₆₇	1	4	yes	—
388	#525	C₂²×C₆₇	1	2	yes	—
389	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	2	yes	—
390	#520	C₂²×C₆₇	1	2	yes	—
391	#519	C₂²×C₆₇	1	2	yes	—
392	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
393	#479	C₂²×C₆₇	1	4	yes	complemented
394	#479	C₂²×C₆₇	1	4	yes	complemented
395	#479	C₂²×C₆₇	1	4	yes	complemented
396	#478	C₂²×C₆₇	1	4	yes	complemented
397	#477	C₂²×C₆₇	1	4	yes	complemented
398	#477	C₂²×C₆₇	1	4	yes	complemented
399	#475	C₂²×C₆₇	1	4	yes	complemented
400	#474	C₂²×C₆₇	1	4	yes	complemented
401	#470	C₂²×C₆₇	1	4	yes	—
402	#468	C₂²×C₆₇	1	4	yes	—
403	#467	C₂²×C₆₇	1	2	yes	—
404	#467	C₂²×C₆₇	1	4	yes	—
405	#467	C₂²×C₆₇	1	1	yes	characteristic
406	#467	C₂²×C₆₇	1	2	yes	—
407	#467	C₂²×C₆₇	1	2	yes	—
408	#467	C₂²×C₆₇	1	1	yes	characteristic
409	#467	C₂²×C₆₇	1	2	yes	—
410	#466	C₂²×C₆₇	1	1	yes	characteristic
411	#466	C₂²×C₆₇	1	1	yes	characteristic
412	#465	C₂²×C₆₇	1	2	yes	—
413	#465	C₂²×C₆₇	1	4	yes	—
414	#465	C₂²×C₆₇	1	2	yes	—
415	#464	C₂²×C₆₇	1	4	yes	complemented
416	#464	C₂²×C₆₇	1	4	yes	complemented
417	#464	C₂²×C₆₇	1	4	yes	complemented
418	#463	C₂²×C₆₇	1	4	yes	complemented
419	#462	C₂²×C₆₇	1	4	yes	complemented
420	#462	C₂²×C₆₇	1	4	yes	complemented
421	#462	C₂²×C₆₇	1	4	yes	complemented
422	#461	C₂²×C₆₇	1	4	yes	complemented
423	#428	C₂²×C₆₇	1	2	yes	—
424	#427	C₂²×C₆₇	1	1	yes	characteristic
425	C₂×#107	C₂²×C₆₇	1	1	yes	characteristic
426	#424	C₂²×C₆₇	1	2	yes	—
427	#424	C₂²×C₆₇	1	2	yes	—
428	#424	C₂²×C₆₇	1	2	yes	—
429	#424	C₂²×C₆₇	1	2	yes	—
430	C₂×C₄⋊C₈	C₂²×C₆₇	1	2	yes	—
431	C₂×C₄⋊C₈	C₂²×C₆₇	1	2	yes	—
432	#419	C₂²×C₆₇	1	2	yes	—
433	#417	C₂²×C₆₇	1	2	yes	—
434	#416	C₂²×C₆₇	1	2	yes	—
435	C₂×#103	C₂²×C₆₇	1	2	yes	—
436	C₂×#41	C₂³×C₆₇	1	2	yes	—
437	C₂²×Q₈	C₂³×C₆₇	1	2	yes	—
438	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
439	#137	—	4	4	no	—
440	#135	—	4	2	no	—
441	C₂×Q₁₆	—	4	2	no	—
442	C₂×Q₁₆	C₂³×C₆₇	1	2	yes	—
443	C₂×Q₁₆	C₂³×C₆₇	1	2	yes	—
444	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
445	C₂×Q₁₆	C₂³×C₆₇	1	4	yes	—
446	C₂×SD₁₆	C₂³×C₆₇	1	2	yes	—
447	C₂×SD₁₆	C₂³×C₆₇	1	4	yes	—
448	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
449	C₂×M₁₆	—	4	2	no	—
450	C₂×M₁₆	C₂³×C₆₇	1	2	yes	—
451	C₂×M₁₆	C₂³×C₆₇	1	2	yes	—
452	C₂²×C₈	—	4	2	no	—
453	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
454	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
455	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
456	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
457	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
458	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
459	C₂²×C₈	C₂³×C₆₇	1	2	yes	—
460	C₄⋊Q₈	—	2	2	no	—
461	C₄⋊Q₈	C₂³×C₆₇	1	4	yes	—
462	C₄⋊Q₈	C₂³×C₆₇	1	4	yes	—
463	#126	—	2	4	no	—
464	#126	—	2	4	no	—
465	#126	—	2	4	no	—
466	#126	—	2	4	no	—
467	#125	—	2	4	no	—
468	#125	—	2	4	no	—
469	#125	—	2	2	no	—
470	#125	—	2	4	no	—
471	#125	C₂³×C₆₇	1	4	yes	—
472	#124	—	2	4	no	—
473	#124	C₂³×C₆₇	1	4	yes	—
474	#123	—	2	2	no	—
475	#123	—	2	4	no	—
476	#123	—	2	4	no	—
477	#123	—	2	4	no	—
478	C₂²⋊Q₈	—	2	2	no	—
479	C₂²⋊Q₈	—	2	2	no	—
480	C₂²⋊Q₈	—	2	4	no	—
481	C₂²⋊Q₈	—	2	2	no	—
482	C₂²⋊Q₈	—	2	2	no	—
483	C₂²⋊Q₈	—	2	4	no	—
484	C₂²⋊Q₈	—	2	4	no	—
485	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
486	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
487	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
488	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
489	#121	C₂³×C₆₇	1	2	yes	—
490	#121	C₂³×C₆₇	1	2	yes	—
491	#120	—	2	2	no	—
492	C₄×Q₈	—	2	2	no	—
493	C₄×Q₈	—	2	2	no	—
494	C₄×Q₈	—	2	4	no	—
495	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
496	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
497	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
498	C₄×D₄	—	2	2	no	—
499	C₄×D₄	—	2	2	no	—
500	C₄×D₄	—	2	4	no	—
501	C₄×D₄	—	2	4	no	—
502	C₄×D₄	C₂³×C₆₇	1	4	yes	—
503	#117	—	2	4	no	—
504	#117	—	2	2	no	—
505	#117	—	2	4	no	—
506	#117	—	2	4	no	—
507	#117	D₄×C₆₇	1	2	yes	—
508	#117	D₄×C₆₇	1	2	yes	—
509	#117	C₂³×C₆₇	1	2	yes	—
510	#117	C₂³×C₆₇	1	2	yes	—
511	#117	C₂³×C₆₇	1	2	yes	—
512	C₂×C₄⋊C₄	—	2	2	no	—
513	C₂×C₄⋊C₄	—	2	2	no	—
514	C₂×C₄⋊C₄	D₄×C₆₇	1	1	yes	characteristic
515	C₂×C₄⋊C₄	D₄×C₆₇	1	1	yes	characteristic
516	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
517	C₂×C₂²⋊C₄	—	2	2	no	—
518	C₂×C₂²⋊C₄	D₄×C₆₇	1	2	yes	—
519	C₂×C₄²	C₂³×C₆₇	1	2	yes	—
520	#107	C₂³×C₆₇	1	2	yes	—
521	#107	C₂³×C₆₇	1	2	yes	—
522	#107	C₂³×C₆₇	1	1	yes	characteristic
523	#107	C₂³×C₆₇	1	1	yes	characteristic
524	#107	C₂³×C₆₇	1	4	yes	—
525	#106	C₂³×C₆₇	1	2	yes	—
526	#106	C₂³×C₆₇	1	4	yes	—
527	C₄⋊C₈	C₂³×C₆₇	1	4	yes	—
528	C₄⋊C₈	C₂³×C₆₇	1	4	yes	—
529	C₄⋊C₈	C₂³×C₆₇	1	4	yes	—
530	C₄⋊C₈	C₂³×C₆₇	1	4	yes	—
531	#103	C₂³×C₆₇	1	4	yes	—
532	#103	C₂³×C₆₇	1	4	yes	—
533	#103	C₂³×C₆₇	1	2	yes	—
534	#103	C₂³×C₆₇	1	2	yes	—
535	#103	C₂³×C₆₇	1	4	yes	—
536	#103	C₂³×C₆₇	1	4	yes	—
537	#103	C₂³×C₆₇	1	4	yes	—
538	#102	C₂³×C₆₇	1	2	yes	—
539	#102	C₂³×C₆₇	1	2	yes	—
540	#102	C₂³×C₆₇	1	4	yes	—
541	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
542	#41	—	2	4	no	—
543	#41	—	2	4	no	—
544	C₂×Q₈	—	2	2	no	—
545	C₂×Q₈	—	2	4	no	—
546	C₂×Q₈	—	2	4	no	—
547	C₂×Q₈	—	2	4	no	—
548	C₂×Q₈	C₂⁴×C₆₇	1	4	yes	—
549	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
550	C₂×D₄	—	2	2	no	—
551	C₂×D₄	—	2	2	no	—
552	C₂×D₄	—	2	2	no	—
553	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
554	C₂²×C₄	—	2	2	no	—
555	C₂²×C₄	—	2	2	no	—
556	C₂²×C₄	—	2	2	no	—
557	C₂²×C₄	—	2	2	no	—
558	C₂²×C₄	—	2	2	no	—
559	C₂²×C₄	—	2	4	no	—
560	C₂²×C₄	C₂×D₄×C₆₇	1	2	yes	—
561	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
562	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
563	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
564	C₂²×C₄	C₂×D₄×C₆₇	1	2	yes	—
565	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
566	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
567	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
568	Q₁₆	—	4	2	no	—
569	Q₁₆	—	4	2	no	—
570	Q₁₆	—	4	1	no	—
571	Q₁₆	—	4	4	no	—
572	SD₁₆	—	4	2	no	—
573	SD₁₆	—	4	4	no	—
574	D₈	—	4	1	no	—
575	M₁₆	—	2	4	no	—
576	M₁₆	—	4	2	no	—
577	C₂×C₈	—	2	2	no	—
578	C₂×C₈	—	2	2	no	—
579	C₂×C₈	—	4	1	no	—
580	C₂×C₈	—	4	1	no	—
581	C₂×C₈	—	4	1	no	—
582	C₂×C₈	—	4	1	no	—
583	C₂×C₈	—	4	2	no	—
584	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
585	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
586	C₂×C₈	C₂⁴×C₆₇	1	4	yes	—
587	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
588	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
589	C₄⋊C₄	—	2	2	no	—
590	C₄⋊C₄	—	2	4	no	—
591	C₄⋊C₄	—	2	4	no	—
592	C₄⋊C₄	—	2	4	no	—
593	C₄⋊C₄	—	2	4	no	—
594	C₄⋊C₄	—	2	4	no	—
595	C₄⋊C₄	—	2	4	no	—
596	C₄⋊C₄	—	2	4	no	—
597	C₄⋊C₄	—	2	4	no	—
598	C₄⋊C₄	—	2	2	no	—
599	C₄⋊C₄	—	2	4	no	—
600	C₄⋊C₄	—	2	2	no	—
601	C₄⋊C₄	—	2	4	no	—
602	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
603	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
604	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
605	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
606	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
607	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
608	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
609	C₂²⋊C₄	—	2	4	no	—
610	C₂²⋊C₄	—	2	4	no	—
611	C₂²⋊C₄	—	2	2	no	—
612	C₂²⋊C₄	—	2	2	no	—
613	C₂²⋊C₄	—	2	2	no	—
614	C₂²⋊C₄	—	2	2	no	—
615	C₂²⋊C₄	—	2	4	no	—
616	C₂²⋊C₄	—	2	4	no	—
617	C₂²⋊C₄	—	2	2	no	—
618	C₂²⋊C₄	—	2	4	no	—
619	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
620	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
621	C₄²	—	2	4	no	—
622	C₄²	—	2	4	no	—
623	C₄²	—	2	4	no	—
624	C₄²	—	2	2	no	—
625	C₄²	C₂×D₄×C₆₇	1	4	yes	—
626	C₄²	C₂⁴×C₆₇	1	4	yes	—
627	C₂³	—	2	2	no	—
628	C₂³	—	2	2	no	—
629	C₂³	—	2	2	no	—
630	C₂³	—	4	1	no	—
631	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
632	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
633	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
634	Q₈	—	2	4	no	—
635	Q₈	—	2	2	no	—
636	Q₈	—	2	4	no	—
637	Q₈	—	2	2	no	—
638	Q₈	—	4	4	no	—
639	Q₈	—	8	4	no	—
640	D₄	—	2	2	no	—
641	D₄	—	2	2	no	—
642	D₄	—	4	4	no	—
643	D₄	—	4	4	no	—
644	D₄	—	8	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	4	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	4	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	4	no	—
658	C₂×C₄	—	4	2	no	—
659	C₂×C₄	—	4	4	no	—
660	C₂×C₄	—	4	4	no	—
661	C₂×C₄	—	8	4	no	—
662	C₂×C₄	—	8	2	no	—
663	C₂×C₄	C₂²×D₄×C₆₇	1	4	yes	—
664	C₂×C₄	C₂²×D₄×C₆₇	1	4	yes	—
665	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
666	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
667	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
668	C₂×C₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
669	C₂×C₄	2₋¹⁺⁴×C₆₇	1	2	yes	—
670	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
671	C₈	—	2	1	no	—
672	C₈	—	2	1	no	—
673	C₈	—	2	1	no	—
674	C₈	—	2	1	no	—
675	C₈	—	2	4	no	—
676	C₂²	—	2	1	no	—
677	C₂²	—	2	1	no	—
678	C₂²	—	2	1	no	—
679	C₂²	—	2	1	no	—
680	C₂²	—	2	1	no	—
681	C₂²	—	2	1	no	—
682	C₂²	—	2	1	no	—
683	C₂²	—	4	4	no	—
684	C₂²	—	4	2	no	—
685	C₂²	—	4	2	no	—
686	C₂²	—	4	2	no	—
687	C₂²	#537×C₆₇	1	2	yes	—
688	C₂²	#578×C₆₇	1	2	yes	—
689	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
690	C₄	—	2	4	no	—
691	C₄	—	2	4	no	—
692	C₄	—	2	1	no	—
693	C₄	—	2	1	no	—
694	C₄	—	4	2	no	—
695	C₄	—	4	4	no	—
696	C₄	—	4	2	no	—
697	C₄	—	4	2	no	—
698	C₄	—	4	4	no	—
699	C₄	#537×C₆₇	1	2	yes	—
700	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
701	C₄	C₂×2₋¹⁺⁴×C₆₇	1	1	yes	characteristic
702	C₂	—	2	2	no	—
703	C₂	—	2	2	no	—
704	C₂	—	4	1	no	—
705	C₂	—	8	2	no	—
706	C₂	C₂×#537×C₆₇	1	1	yes	characteristic
707	C₂	C₂×#578×C₆₇	1	1	yes	characteristic
708	C₂	C₆₇×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₇
prime radical	C₆₇×#3050	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₇ ◁ C₂×#117×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#3495	C₂	semidirect
2. C₆₇×#3262	C₂	semidirect
3. C₆₇×#3261	C₂	semidirect
4. C₆₇×#3258	C₂	semidirect
5. C₆₇×#3250	C₂	semidirect
6. C₆₇×#3249	C₂	semidirect
7. C₆₇×#3248	C₂	semidirect
8. C₆₇×#3083	C₂	semidirect
9. C₆₇×#3082	C₂	semidirect
10. C₆₇×#3056	C₂	semidirect
12. C₂×#467×C₆₇	C₂	semidirect
13. C₆₇×#3046	C₂	semidirect
14. C₆₇×#3044	C₂	semidirect
15. C₂×#424×C₆₇	C₂	semidirect
38. #479×C₆₇	C₂²	semidirect
39. #479×C₆₇	C₂²	semidirect
40. #479×C₆₇	C₂²	semidirect
41. #478×C₆₇	C₂²	semidirect
42. #477×C₆₇	C₂²	semidirect
43. #477×C₆₇	C₂²	semidirect
44. #475×C₆₇	C₂²	semidirect
45. #474×C₆₇	C₂²	semidirect
60. #464×C₆₇	C₂²	semidirect
61. #464×C₆₇	C₂²	semidirect
62. #464×C₆₇	C₂²	semidirect
63. #463×C₆₇	C₂²	semidirect
64. #462×C₆₇	C₂²	semidirect
65. #462×C₆₇	C₂²	semidirect
66. #462×C₆₇	C₂²	semidirect
67. #461×C₆₇	C₂²	semidirect
347. #60936	C₆₇	direct (N × H)
355. #3495	C₂×C₆₇	semidirect
356. #3262	C₂×C₆₇	semidirect
357. #3261	C₂×C₆₇	semidirect
358. #3258	C₂×C₆₇	semidirect
359. #3250	C₂×C₆₇	semidirect
360. #3249	C₂×C₆₇	semidirect
361. #3248	C₂×C₆₇	semidirect
362. #3083	C₂×C₆₇	semidirect
363. #3082	C₂×C₆₇	semidirect
364. #3056	C₂×C₆₇	semidirect
366. C₂×#467	C₂×C₆₇	semidirect
367. #3046	C₂×C₆₇	semidirect
368. #3044	C₂×C₆₇	semidirect
369. C₂×#424	C₂×C₆₇	semidirect
370. C₆₇	#60936	direct (N × H)
393. #479	C₂²×C₆₇	semidirect
394. #479	C₂²×C₆₇	semidirect
395. #479	C₂²×C₆₇	semidirect
396. #478	C₂²×C₆₇	semidirect
397. #477	C₂²×C₆₇	semidirect
398. #477	C₂²×C₆₇	semidirect
399. #475	C₂²×C₆₇	semidirect
400. #474	C₂²×C₆₇	semidirect
415. #464	C₂²×C₆₇	semidirect
416. #464	C₂²×C₆₇	semidirect
417. #464	C₂²×C₆₇	semidirect
418. #463	C₂²×C₆₇	semidirect
419. #462	C₂²×C₆₇	semidirect
420. #462	C₂²×C₆₇	semidirect
421. #462	C₂²×C₆₇	semidirect
422. #461	C₂²×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₆₇×#3495	2
C₆₇×#3262	2
C₆₇×#3261	2
C₆₇×#3258	2
C₆₇×#3250	2
C₆₇×#3249	2
C₆₇×#3248	2
C₆₇×#3083	2
C₆₇×#3082	2
C₆₇×#3056	2
C₆₇×#3050	2
C₂×#467×C₆₇	2
C₆₇×#3046	2
C₆₇×#3044	2
C₂×#424×C₆₇	2
#60936	67

Subgroups — C67×#60936 #30740187

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#60936 #30740187