Subgroups — C₆₇×#61857 #30741108

Order 17152.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1102 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₆₇×#3503	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#3389	C₂	1	2	yes	maximal, complemented
4	C₆₇×#3386	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#3386	C₂	1	1	yes	maximal, characteristic, complemented
6	C₆₇×#3385	C₂	1	2	yes	maximal, complemented
7	C₆₇×#3383	C₂	1	1	yes	maximal, characteristic, complemented
8	Q₈×D₈×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
9	C₆₇×#3375	C₂	1	2	yes	maximal, complemented
10	C₆₇×#3373	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₇×#3370	C₂	1	2	yes	maximal, complemented
12	C₆₇×#3368	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#3365	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#3358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#3243	C₂	1	2	yes	maximal, complemented
16	C₆₇×#3241	C₂	1	2	yes	maximal, complemented
17	C₆₇×#3239	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#3226	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#3124	C₂	1	2	yes	maximal, complemented
20	C₆₇×#3119	C₂	1	2	yes	maximal, complemented
21	C₆₇×#3115	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#3102	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#2985	C₂	1	1	yes	maximal, characteristic, complemented
24	#562×C₆₇	—	2	2	no	—
25	#559×C₆₇	C₂²	1	1	yes	characteristic
26	#559×C₆₇	C₂²	1	2	yes	—
27	Q₈²×C₆₇	C₂²	1	2	yes	—
28	#557×C₆₇	C₂²	1	1	yes	characteristic
29	#557×C₆₇	C₂²	1	1	yes	characteristic
30	#557×C₆₇	C₂²	1	1	yes	characteristic
31	#554×C₆₇	—	2	2	no	—
32	#554×C₆₇	C₂²	1	2	yes	—
33	#554×C₆₇	C₂²	1	2	yes	—
34	#550×C₆₇	C₂²	1	1	yes	characteristic
35	D₄×Q₈×C₆₇	—	2	1	no	—
36	D₄×Q₈×C₆₇	—	2	1	no	—
37	D₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic
38	D₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic
40	#548×C₆₇	—	2	1	no	—
41	#547×C₆₇	—	2	1	no	—
42	#544×C₆₇	—	2	2	no	—
43	#544×C₆₇	C₂²	1	2	yes	—
44	#542×C₆₇	—	2	1	no	—
45	#542×C₆₇	C₂²	1	2	yes	—
46	#540×C₆₇	C₂²	1	2	yes	—
47	#539×C₆₇	—	2	2	no	—
48	#536×C₆₇	—	2	1	no	—
49	#533×C₆₇	—	2	1	no	—
50	#533×C₆₇	C₂²	1	1	yes	characteristic
51	#532×C₆₇	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊Q₈×C₆₇	—	2	1	no	—
53	C₂×C₄⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
54	#529×C₆₇	C₂²	1	1	yes	characteristic
55	#520×C₆₇	C₂²	1	2	yes	—
56	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic
57	#501×C₆₇	C₂²	1	2	yes	—
58	#501×C₆₇	C₂²	1	2	yes	—
59	#501×C₆₇	C₂²	1	2	yes	—
60	#500×C₆₇	C₂²	1	1	yes	characteristic
61	#500×C₆₇	C₂²	1	2	yes	—
62	#500×C₆₇	C₂²	1	1	yes	characteristic
63	#499×C₆₇	C₂²	1	2	yes	—
64	#490×C₆₇	C₂²	1	2	yes	—
65	#489×C₆₇	C₂²	1	2	yes	—
66	#489×C₆₇	C₂²	1	2	yes	—
67	#488×C₆₇	C₂²	1	2	yes	—
68	#486×C₆₇	C₂²	1	1	yes	characteristic
69	#486×C₆₇	C₂²	1	2	yes	—
70	#486×C₆₇	C₂²	1	1	yes	characteristic
71	#485×C₆₇	C₂²	1	1	yes	characteristic
72	#484×C₆₇	C₂²	1	2	yes	—
73	#482×C₆₇	C₂²	1	1	yes	characteristic
74	#482×C₆₇	C₂²	1	2	yes	—
75	#481×C₆₇	C₂²	1	2	yes	—
76	#480×C₆₇	C₂²	1	2	yes	—
77	#480×C₆₇	C₂²	1	2	yes	—
78	#479×C₆₇	C₂²	1	1	yes	characteristic
79	#479×C₆₇	C₂²	1	2	yes	—
80	#479×C₆₇	C₂²	1	2	yes	—
81	#478×C₆₇	C₂²	1	1	yes	characteristic
82	#478×C₆₇	C₂²	1	2	yes	—
83	#478×C₆₇	C₂²	1	2	yes	—
84	#478×C₆₇	C₂²	1	2	yes	—
85	#478×C₆₇	C₂²	1	2	yes	—
86	#477×C₆₇	C₂²	1	2	yes	—
87	#477×C₆₇	C₂²	1	2	yes	—
88	#476×C₆₇	C₂²	1	2	yes	—
89	#475×C₆₇	C₂²	1	1	yes	characteristic
90	#475×C₆₇	C₂²	1	1	yes	characteristic
91	#475×C₆₇	C₂²	1	1	yes	characteristic
92	#474×C₆₇	C₂²	1	2	yes	—
93	#474×C₆₇	C₂²	1	1	yes	characteristic
94	#474×C₆₇	C₂²	1	1	yes	characteristic
95	#474×C₆₇	C₂²	1	2	yes	—
96	#474×C₆₇	C₂²	1	1	yes	characteristic
97	#474×C₆₇	C₂²	1	2	yes	—
98	#474×C₆₇	C₂²	1	2	yes	—
99	#474×C₆₇	C₂²	1	2	yes	—
100	#464×C₆₇	C₂²	1	1	yes	characteristic
101	#464×C₆₇	C₂²	1	2	yes	—
102	#463×C₆₇	C₂²	1	1	yes	characteristic
103	#463×C₆₇	C₂²	1	2	yes	—
104	#460×C₆₇	C₂²	1	1	yes	characteristic
105	#460×C₆₇	C₂²	1	2	yes	—
106	#459×C₆₇	C₂²	1	2	yes	—
107	#459×C₆₇	C₂²	1	1	yes	characteristic
108	#452×C₆₇	C₂²	1	1	yes	characteristic
109	#449×C₆₇	C₂²	1	1	yes	characteristic
110	#449×C₆₇	C₂²	1	2	yes	—
111	#446×C₆₇	C₂²	1	1	yes	characteristic
112	#446×C₆₇	C₂²	1	2	yes	—
113	#446×C₆₇	C₂²	1	1	yes	characteristic
114	#446×C₆₇	C₂²	1	2	yes	—
115	C₈×Q₈×C₆₇	C₂²	1	1	yes	characteristic
116	C₈×Q₈×C₆₇	C₂²	1	1	yes	characteristic
117	#442×C₆₇	C₂²	1	2	yes	—
118	#442×C₆₇	C₂²	1	2	yes	—
119	#440×C₆₇	C₂²	1	2	yes	—
120	#440×C₆₇	C₂²	1	2	yes	—
121	#440×C₆₇	C₂²	1	2	yes	—
122	#440×C₆₇	C₂²	1	2	yes	—
123	C₄×Q₁₆×C₆₇	C₂²	1	1	yes	characteristic
124	C₄×Q₁₆×C₆₇	C₂²	1	2	yes	—
125	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic
126	C₄×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic
127	C₄×SD₁₆×C₆₇	C₂²	1	2	yes	—
128	C₄×D₈×C₆₇	C₂²	1	1	yes	characteristic
129	C₄×D₈×C₆₇	C₂²	1	2	yes	—
130	C₄×D₈×C₆₇	C₂²	1	2	yes	—
131	#433×C₆₇	C₂²	1	2	yes	—
132	#433×C₆₇	C₂²	1	2	yes	—
133	#432×C₆₇	C₂²	1	1	yes	characteristic
134	#431×C₆₇	C₂²	1	1	yes	characteristic
135	C₂×#41×C₆₇	—	2	1	no	—
136	C₂×#41×C₆₇	—	2	1	no	—
137	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₆₇	—	2	1	no	—
139	C₂²×Q₈×C₆₇	—	2	1	no	—
140	C₂²×Q₈×C₆₇	—	2	1	no	—
141	C₂²×Q₈×C₆₇	—	2	1	no	—
142	C₂×Q₁₆×C₆₇	C₂³	1	1	yes	characteristic
143	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₆₇	C₂³	1	2	yes	—
145	C₂×SD₁₆×C₆₇	C₂³	1	1	yes	characteristic
146	C₂×D₈×C₆₇	C₂³	1	1	yes	characteristic
147	C₂×D₈×C₆₇	C₂³	1	2	yes	—
148	C₄⋊Q₈×C₆₇	—	2	1	no	—
149	C₄⋊Q₈×C₆₇	—	2	1	no	—
150	C₄⋊Q₈×C₆₇	—	2	1	no	—
151	C₄⋊Q₈×C₆₇	—	2	2	no	—
152	C₄⋊Q₈×C₆₇	—	2	2	no	—
153	C₄⋊Q₈×C₆₇	—	2	2	no	—
154	C₄⋊Q₈×C₆₇	—	2	2	no	—
155	C₄⋊Q₈×C₆₇	—	2	1	no	—
156	C₄⋊Q₈×C₆₇	—	2	1	no	—
157	C₄⋊Q₈×C₆₇	D₄	1	1	yes	characteristic
158	C₄⋊Q₈×C₆₇	D₄	1	1	yes	characteristic
159	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
160	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
161	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
162	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
163	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
164	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
165	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
166	#127×C₆₇	C₂³	1	1	yes	characteristic
167	#127×C₆₇	C₂³	1	2	yes	—
168	#126×C₆₇	—	2	2	no	—
169	#126×C₆₇	—	2	1	no	—
170	#125×C₆₇	—	2	2	no	—
171	#125×C₆₇	—	2	2	no	—
172	#125×C₆₇	—	2	2	no	—
173	#125×C₆₇	—	2	2	no	—
174	#125×C₆₇	D₄	1	2	yes	—
175	#125×C₆₇	C₂³	1	2	yes	—
176	#125×C₆₇	C₂³	1	2	yes	—
177	#125×C₆₇	C₂³	1	2	yes	—
178	#125×C₆₇	C₂³	1	1	yes	characteristic
179	#124×C₆₇	—	2	1	no	—
180	#124×C₆₇	—	2	2	no	—
181	#124×C₆₇	—	2	2	no	—
182	#124×C₆₇	—	2	1	no	—
183	#124×C₆₇	C₂³	1	2	yes	—
184	#124×C₆₇	C₂³	1	1	yes	characteristic
185	#123×C₆₇	—	2	1	no	—
186	#123×C₆₇	—	2	2	no	—
187	#123×C₆₇	—	2	2	no	—
188	#123×C₆₇	—	2	2	no	—
189	#123×C₆₇	—	2	2	no	—
190	#123×C₆₇	—	2	2	no	—
191	#123×C₆₇	—	2	2	no	—
192	C₂²⋊Q₈×C₆₇	—	2	2	no	—
193	C₂²⋊Q₈×C₆₇	—	2	2	no	—
194	C₂²⋊Q₈×C₆₇	—	2	1	no	—
195	C₂²⋊Q₈×C₆₇	—	2	1	no	—
196	C₂²⋊Q₈×C₆₇	—	2	2	no	—
197	C₂²⋊Q₈×C₆₇	—	2	2	no	—
198	C₂²⋊Q₈×C₆₇	—	2	2	no	—
199	C₂²⋊Q₈×C₆₇	—	2	2	no	—
200	C₂²⋊Q₈×C₆₇	—	2	1	no	—
201	C₂²⋊Q₈×C₆₇	—	2	2	no	—
202	C₂²⋊Q₈×C₆₇	—	2	2	no	—
203	C₂²⋊Q₈×C₆₇	—	2	2	no	—
204	C₂²⋊Q₈×C₆₇	—	2	2	no	—
205	C₂²⋊Q₈×C₆₇	—	2	2	no	—
206	C₂²⋊Q₈×C₆₇	—	2	2	no	—
207	C₂²⋊Q₈×C₆₇	D₄	1	1	yes	characteristic
208	C₂²⋊Q₈×C₆₇	D₄	1	1	yes	characteristic
209	C₂²⋊Q₈×C₆₇	D₄	1	2	yes	—
210	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
211	#121×C₆₇	—	2	1	no	—
212	#121×C₆₇	—	2	2	no	—
213	#121×C₆₇	—	2	1	no	—
214	#121×C₆₇	—	2	2	no	—
215	#121×C₆₇	—	2	2	no	—
216	#121×C₆₇	C₂³	1	2	yes	—
217	#121×C₆₇	C₂³	1	1	yes	characteristic
218	C₄×Q₈×C₆₇	—	2	2	no	—
219	C₄×Q₈×C₆₇	—	2	1	no	—
220	C₄×Q₈×C₆₇	—	2	1	no	—
221	C₄×Q₈×C₆₇	—	2	1	no	—
222	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
224	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
225	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
228	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
231	C₄×D₄×C₆₇	—	2	1	no	—
232	C₄×D₄×C₆₇	—	2	1	no	—
233	C₄×D₄×C₆₇	—	2	1	no	—
234	C₄×D₄×C₆₇	—	2	2	no	—
235	C₄×D₄×C₆₇	—	2	1	no	—
236	C₄×D₄×C₆₇	—	2	2	no	—
237	C₄×D₄×C₆₇	—	2	2	no	—
238	C₄×D₄×C₆₇	—	2	1	no	—
239	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₆₇	C₂³	1	2	yes	—
241	C₄×D₄×C₆₇	C₂³	1	2	yes	—
242	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₆₇	C₂³	1	2	yes	—
245	C₄×D₄×C₆₇	C₂³	1	2	yes	—
246	C₄×D₄×C₆₇	C₂³	1	2	yes	—
247	C₄×D₄×C₆₇	C₂³	1	2	yes	—
248	#117×C₆₇	—	2	2	no	—
249	#117×C₆₇	—	2	1	no	—
250	#117×C₆₇	—	2	1	no	—
251	#117×C₆₇	C₂³	1	1	yes	characteristic
252	#117×C₆₇	C₂³	1	2	yes	—
253	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
254	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
255	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
256	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
257	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
258	C₂×C₄²×C₆₇	—	2	1	no	—
259	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
260	#107×C₆₇	C₂³	1	2	yes	—
261	#107×C₆₇	C₂³	1	2	yes	—
262	#107×C₆₇	C₂³	1	2	yes	—
263	#107×C₆₇	C₂³	1	2	yes	—
264	#107×C₆₇	C₂³	1	1	yes	characteristic
265	#107×C₆₇	C₂³	1	2	yes	—
266	#107×C₆₇	C₂³	1	2	yes	—
267	#107×C₆₇	C₂³	1	2	yes	—
268	#107×C₆₇	C₂³	1	1	yes	characteristic
269	#106×C₆₇	C₂³	1	2	yes	—
270	#106×C₆₇	C₂³	1	2	yes	—
271	#106×C₆₇	C₂³	1	2	yes	—
272	#106×C₆₇	C₂³	1	1	yes	characteristic
273	#106×C₆₇	C₂³	1	1	yes	characteristic
274	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
275	C₄⋊C₈×C₆₇	C₂³	1	2	yes	—
276	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
277	C₄⋊C₈×C₆₇	C₂³	1	2	yes	—
278	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
279	C₄⋊C₈×C₆₇	C₂³	1	2	yes	—
280	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₆₇	C₂³	1	2	yes	—
282	#103×C₆₇	C₂³	1	2	yes	—
283	#103×C₆₇	C₂³	1	1	yes	characteristic
284	#103×C₆₇	C₂³	1	1	yes	characteristic
285	#103×C₆₇	C₂³	1	2	yes	—
286	#103×C₆₇	C₂³	1	1	yes	characteristic
287	#103×C₆₇	C₂³	1	2	yes	—
288	#103×C₆₇	C₂³	1	1	yes	characteristic
289	#102×C₆₇	C₂³	1	2	yes	—
290	#102×C₆₇	C₂³	1	1	yes	characteristic
291	#102×C₆₇	C₂³	1	1	yes	characteristic
292	#102×C₆₇	C₂³	1	2	yes	—
293	#102×C₆₇	C₂³	1	2	yes	—
294	#102×C₆₇	C₂³	1	2	yes	—
295	#102×C₆₇	C₂³	1	2	yes	—
296	#102×C₆₇	C₂³	1	2	yes	—
297	#102×C₆₇	C₂³	1	2	yes	—
298	#102×C₆₇	C₂³	1	2	yes	—
299	#102×C₆₇	C₂³	1	1	yes	characteristic
300	#102×C₆₇	C₂³	1	1	yes	characteristic
301	#102×C₆₇	C₂³	1	2	yes	—
302	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
303	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
305	#97×C₆₇	C₂³	1	2	yes	—
306	#97×C₆₇	C₂³	1	2	yes	—
307	#97×C₆₇	C₂³	1	2	yes	—
308	C₄×C₈×C₆₇	C₂³	1	2	yes	—
309	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₆₇	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₆₇	C₂³	1	2	yes	—
312	#41×C₆₇	—	2	2	no	—
313	#41×C₆₇	—	2	2	no	—
314	#41×C₆₇	—	8	2	no	—
315	#41×C₆₇	—	8	2	no	—
316	C₂×Q₈×C₆₇	—	2	1	no	—
317	C₂×Q₈×C₆₇	—	2	1	no	—
318	C₂×Q₈×C₆₇	—	2	1	no	—
319	C₂×Q₈×C₆₇	—	2	2	no	—
320	C₂×Q₈×C₆₇	—	2	2	no	—
321	C₂×Q₈×C₆₇	—	2	2	no	—
322	C₂×Q₈×C₆₇	—	2	2	no	—
323	C₂×Q₈×C₆₇	—	8	2	no	—
324	C₂×Q₈×C₆₇	—	8	2	no	—
325	C₂×Q₈×C₆₇	—	8	2	no	—
326	C₂×Q₈×C₆₇	—	8	2	no	—
327	C₂×Q₈×C₆₇	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₆₇	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₆₇	C₂×D₄	1	2	yes	—
330	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₆₇	—	2	1	no	—
333	C₂×D₄×C₆₇	—	2	1	no	—
334	C₂×D₄×C₆₇	—	2	2	no	—
335	C₂×D₄×C₆₇	—	2	1	no	—
336	C₂×D₄×C₆₇	—	2	1	no	—
337	C₂×D₄×C₆₇	—	2	2	no	—
338	C₂×D₄×C₆₇	—	2	2	no	—
339	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
340	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
341	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₆₇	—	2	1	no	—
343	C₂²×C₄×C₆₇	—	2	2	no	—
344	C₂²×C₄×C₆₇	—	2	1	no	—
345	C₂²×C₄×C₆₇	—	2	1	no	—
346	C₂²×C₄×C₆₇	—	2	1	no	—
347	C₂²×C₄×C₆₇	—	2	2	no	—
348	C₂²×C₄×C₆₇	—	2	2	no	—
349	C₂²×C₄×C₆₇	—	2	2	no	—
350	C₂²×C₄×C₆₇	—	2	2	no	—
351	C₂²×C₄×C₆₇	—	2	2	no	—
352	C₂²×C₄×C₆₇	—	2	2	no	—
353	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
356	Q₁₆×C₆₇	—	2	2	no	—
357	SD₁₆×C₆₇	—	2	2	no	—
358	SD₁₆×C₆₇	—	2	4	no	—
359	SD₁₆×C₆₇	—	2	2	no	—
360	D₈×C₆₇	—	2	2	no	—
361	D₈×C₆₇	—	2	4	no	—
362	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
363	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
364	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
367	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
368	C₄⋊C₄×C₆₇	—	2	1	no	—
369	C₄⋊C₄×C₆₇	—	2	2	no	—
370	C₄⋊C₄×C₆₇	—	2	2	no	—
371	C₄⋊C₄×C₆₇	—	2	2	no	—
372	C₄⋊C₄×C₆₇	—	2	2	no	—
373	C₄⋊C₄×C₆₇	—	2	2	no	—
374	C₄⋊C₄×C₆₇	—	2	2	no	—
375	C₄⋊C₄×C₆₇	—	2	1	no	—
376	C₄⋊C₄×C₆₇	—	2	1	no	—
377	C₄⋊C₄×C₆₇	—	2	2	no	—
378	C₄⋊C₄×C₆₇	—	2	2	no	—
379	C₄⋊C₄×C₆₇	—	2	1	no	—
380	C₄⋊C₄×C₆₇	—	2	1	no	—
381	C₄⋊C₄×C₆₇	—	2	1	no	—
382	C₄⋊C₄×C₆₇	—	2	1	no	—
383	C₄⋊C₄×C₆₇	—	2	1	no	—
384	C₄⋊C₄×C₆₇	—	2	2	no	—
385	C₄⋊C₄×C₆₇	—	2	2	no	—
386	C₄⋊C₄×C₆₇	—	2	2	no	—
387	C₄⋊C₄×C₆₇	—	2	2	no	—
388	C₄⋊C₄×C₆₇	—	2	2	no	—
389	C₄⋊C₄×C₆₇	—	2	2	no	—
390	C₄⋊C₄×C₆₇	—	2	1	no	—
391	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
392	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
393	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
394	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
395	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
396	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
398	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
399	C₄⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
400	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
401	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
402	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
403	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
407	C₂²⋊C₄×C₆₇	—	2	1	no	—
408	C₂²⋊C₄×C₆₇	—	2	1	no	—
409	C₂²⋊C₄×C₆₇	—	2	1	no	—
410	C₂²⋊C₄×C₆₇	—	2	1	no	—
411	C₂²⋊C₄×C₆₇	—	2	2	no	—
412	C₂²⋊C₄×C₆₇	—	2	2	no	—
413	C₂²⋊C₄×C₆₇	—	2	1	no	—
414	C₂²⋊C₄×C₆₇	—	2	1	no	—
415	C₂²⋊C₄×C₆₇	—	2	1	no	—
416	C₂²⋊C₄×C₆₇	—	2	2	no	—
417	C₂²⋊C₄×C₆₇	—	2	2	no	—
418	C₂²⋊C₄×C₆₇	—	2	2	no	—
419	C₂²⋊C₄×C₆₇	—	2	1	no	—
420	C₂²⋊C₄×C₆₇	—	2	2	no	—
421	C₂²⋊C₄×C₆₇	—	2	2	no	—
422	C₂²⋊C₄×C₆₇	—	2	2	no	—
423	C₂²⋊C₄×C₆₇	—	2	2	no	—
424	C₂²⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
425	C₂²⋊C₄×C₆₇	C₂×D₄	1	2	yes	—
426	C₄²×C₆₇	—	2	1	no	—
427	C₄²×C₆₇	—	2	1	no	—
428	C₄²×C₆₇	—	2	1	no	—
429	C₄²×C₆₇	—	2	1	no	—
430	C₄²×C₆₇	—	2	2	no	—
431	C₄²×C₆₇	—	2	2	no	—
432	C₄²×C₆₇	—	2	2	no	—
433	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
434	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
435	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
436	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
437	C₄²×C₆₇	C₂⁴	1	2	yes	—
438	C₄²×C₆₇	C₂⁴	1	2	yes	—
439	C₂³×C₆₇	—	2	1	no	—
440	C₂³×C₆₇	—	2	2	no	—
441	C₂³×C₆₇	—	2	1	no	—
442	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
443	Q₈×C₆₇	—	2	2	no	—
444	Q₈×C₆₇	—	2	2	no	—
445	Q₈×C₆₇	—	2	1	no	—
446	Q₈×C₆₇	—	2	1	no	—
447	Q₈×C₆₇	—	2	1	no	—
448	Q₈×C₆₇	—	4	2	no	—
449	Q₈×C₆₇	—	4	2	no	—
450	Q₈×C₆₇	—	4	2	no	—
451	Q₈×C₆₇	—	4	2	no	—
452	Q₈×C₆₇	—	8	2	no	—
453	Q₈×C₆₇	—	8	2	no	—
454	Q₈×C₆₇	—	8	2	no	—
455	Q₈×C₆₇	—	8	2	no	—
456	Q₈×C₆₇	2₋¹⁺⁴	1	2	yes	—
457	D₄×C₆₇	—	2	4	no	—
458	D₄×C₆₇	—	2	1	no	—
459	D₄×C₆₇	—	2	1	no	—
460	D₄×C₆₇	—	2	2	no	—
461	D₄×C₆₇	—	2	2	no	—
462	D₄×C₆₇	—	2	1	no	—
463	D₄×C₆₇	—	4	2	no	—
464	D₄×C₆₇	—	8	1	no	—
465	D₄×C₆₇	—	8	2	no	—
466	D₄×C₆₇	—	8	2	no	—
467	D₄×C₆₇	—	8	1	no	—
468	D₄×C₆₇	—	8	2	no	—
469	D₄×C₆₇	2₋¹⁺⁴	1	2	yes	—
470	C₂×C₄×C₆₇	—	2	4	no	—
471	C₂×C₄×C₆₇	—	2	1	no	—
472	C₂×C₄×C₆₇	—	2	2	no	—
473	C₂×C₄×C₆₇	—	2	1	no	—
474	C₂×C₄×C₆₇	—	2	1	no	—
475	C₂×C₄×C₆₇	—	2	1	no	—
476	C₂×C₄×C₆₇	—	2	1	no	—
477	C₂×C₄×C₆₇	—	2	1	no	—
478	C₂×C₄×C₆₇	—	2	1	no	—
479	C₂×C₄×C₆₇	—	2	2	no	—
480	C₂×C₄×C₆₇	—	2	2	no	—
481	C₂×C₄×C₆₇	—	2	2	no	—
482	C₂×C₄×C₆₇	—	2	1	no	—
483	C₂×C₄×C₆₇	—	4	1	no	—
484	C₂×C₄×C₆₇	—	4	2	no	—
485	C₂×C₄×C₆₇	—	4	2	no	—
486	C₂×C₄×C₆₇	—	4	2	no	—
487	C₂×C₄×C₆₇	—	8	2	no	—
488	C₂×C₄×C₆₇	—	8	2	no	—
489	C₂×C₄×C₆₇	—	8	2	no	—
490	C₂×C₄×C₆₇	—	8	2	no	—
491	C₂×C₄×C₆₇	—	8	2	no	—
492	C₂×C₄×C₆₇	—	8	2	no	—
493	C₂×C₄×C₆₇	—	8	2	no	—
494	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
496	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
497	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
498	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
499	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
501	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
502	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
504	C₈×C₆₇	—	2	2	no	—
505	C₈×C₆₇	—	2	1	no	—
506	C₈×C₆₇	—	2	2	no	—
507	C₈×C₆₇	—	2	1	no	—
508	C₈×C₆₇	—	2	1	no	—
509	C₈×C₆₇	—	2	1	no	—
510	C₂²×C₆₇	—	2	1	no	—
511	C₂²×C₆₇	—	2	1	no	—
512	C₂²×C₆₇	—	2	2	no	—
513	C₂²×C₆₇	—	2	1	no	—
514	C₂²×C₆₇	—	4	1	no	—
515	C₂²×C₆₇	—	4	1	no	—
516	C₂²×C₆₇	—	4	2	no	—
517	C₂²×C₆₇	—	4	1	no	—
518	C₂²×C₆₇	—	4	2	no	—
519	C₂²×C₆₇	—	4	1	no	—
520	C₂²×C₆₇	—	4	1	no	—
521	C₂²×C₆₇	—	4	2	no	—
522	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
523	C₄×C₆₇	—	2	1	no	—
524	C₄×C₆₇	—	2	1	no	—
525	C₄×C₆₇	—	2	2	no	—
526	C₄×C₆₇	—	2	2	no	—
527	C₄×C₆₇	—	2	1	no	—
528	C₄×C₆₇	—	2	2	no	—
529	C₄×C₆₇	—	2	1	no	—
530	C₄×C₆₇	—	2	2	no	—
531	C₄×C₆₇	—	2	2	no	—
532	C₄×C₆₇	—	4	1	no	—
533	C₄×C₆₇	—	4	1	no	—
534	C₄×C₆₇	—	4	1	no	—
535	C₄×C₆₇	—	4	1	no	—
536	C₄×C₆₇	—	4	1	no	—
537	C₄×C₆₇	—	4	2	no	—
538	C₄×C₆₇	—	4	2	no	—
539	C₄×C₆₇	—	4	2	no	—
540	C₄×C₆₇	#576	1	2	yes	—
541	C₄×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
542	C₄×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
543	#61857	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
544	C₂×C₆₇	—	4	1	no	—
545	C₂×C₆₇	—	4	2	no	—
546	C₂×C₆₇	—	8	2	no	—
547	C₂×C₆₇	—	8	1	no	—
548	C₂×C₆₇	#3486	1	1	yes	characteristic
549	C₂×C₆₇	C₂×#576	1	1	yes	characteristic
550	C₂×C₆₇	#3586	1	1	yes	characteristic
551	#3554	C₂×C₆₇	1	1	yes	characteristic, complemented
552	#3503	C₂×C₆₇	1	1	yes	characteristic, complemented
553	#3389	C₂×C₆₇	1	2	yes	complemented
554	#3386	C₂×C₆₇	1	1	yes	characteristic, complemented
555	#3386	C₂×C₆₇	1	1	yes	characteristic, complemented
556	#3385	C₂×C₆₇	1	2	yes	complemented
557	#3383	C₂×C₆₇	1	1	yes	characteristic, complemented
558	Q₈×D₈	C₂×C₆₇	1	1	yes	characteristic, complemented
559	#3375	C₂×C₆₇	1	2	yes	complemented
560	#3373	C₂×C₆₇	1	1	yes	characteristic, complemented
561	#3370	C₂×C₆₇	1	2	yes	complemented
562	#3368	C₂×C₆₇	1	1	yes	characteristic, complemented
563	#3365	C₂×C₆₇	1	1	yes	characteristic, complemented
564	#3358	C₂×C₆₇	1	1	yes	characteristic, complemented
565	#3243	C₂×C₆₇	1	2	yes	complemented
566	#3241	C₂×C₆₇	1	2	yes	complemented
567	#3239	C₂×C₆₇	1	1	yes	characteristic, complemented
568	#3226	C₂×C₆₇	1	1	yes	characteristic, complemented
569	#3124	C₂×C₆₇	1	2	yes	complemented
570	#3119	C₂×C₆₇	1	2	yes	complemented
571	#3115	C₂×C₆₇	1	1	yes	characteristic, complemented
572	#3102	C₂×C₆₇	1	1	yes	characteristic, complemented
573	#2985	C₂×C₆₇	1	1	yes	characteristic, complemented
574	C₆₇	#61857	1	1	yes	characteristic, direct product factor, Sylow
575	#562	—	2	2	no	—
576	#559	C₂²×C₆₇	1	1	yes	characteristic
577	#559	C₂²×C₆₇	1	2	yes	—
578	Q₈²	C₂²×C₆₇	1	2	yes	—
579	#557	C₂²×C₆₇	1	1	yes	characteristic
580	#557	C₂²×C₆₇	1	1	yes	characteristic
581	#557	C₂²×C₆₇	1	1	yes	characteristic
582	#554	—	2	2	no	—
583	#554	C₂²×C₆₇	1	2	yes	—
584	#554	C₂²×C₆₇	1	2	yes	—
585	#550	C₂²×C₆₇	1	1	yes	characteristic
586	D₄×Q₈	—	2	1	no	—
587	D₄×Q₈	—	2	1	no	—
588	D₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic
589	D₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic
590	D₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic
591	#548	—	2	1	no	—
592	#547	—	2	1	no	—
593	#544	—	2	2	no	—
594	#544	C₂²×C₆₇	1	2	yes	—
595	#542	—	2	1	no	—
596	#542	C₂²×C₆₇	1	2	yes	—
597	#540	C₂²×C₆₇	1	2	yes	—
598	#539	—	2	2	no	—
599	#536	—	2	1	no	—
600	#533	—	2	1	no	—
601	#533	C₂²×C₆₇	1	1	yes	characteristic
602	#532	C₂²×C₆₇	1	1	yes	characteristic
603	C₂×C₄⋊Q₈	—	2	1	no	—
604	C₂×C₄⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
605	#529	C₂²×C₆₇	1	1	yes	characteristic
606	#520	C₂²×C₆₇	1	2	yes	—
607	C₄×#41	C₂²×C₆₇	1	1	yes	characteristic
608	#501	C₂²×C₆₇	1	2	yes	—
609	#501	C₂²×C₆₇	1	2	yes	—
610	#501	C₂²×C₆₇	1	2	yes	—
611	#500	C₂²×C₆₇	1	1	yes	characteristic
612	#500	C₂²×C₆₇	1	2	yes	—
613	#500	C₂²×C₆₇	1	1	yes	characteristic
614	#499	C₂²×C₆₇	1	2	yes	—
615	#490	C₂²×C₆₇	1	2	yes	—
616	#489	C₂²×C₆₇	1	2	yes	—
617	#489	C₂²×C₆₇	1	2	yes	—
618	#488	C₂²×C₆₇	1	2	yes	—
619	#486	C₂²×C₆₇	1	1	yes	characteristic
620	#486	C₂²×C₆₇	1	2	yes	—
621	#486	C₂²×C₆₇	1	1	yes	characteristic
622	#485	C₂²×C₆₇	1	1	yes	characteristic
623	#484	C₂²×C₆₇	1	2	yes	—
624	#482	C₂²×C₆₇	1	1	yes	characteristic
625	#482	C₂²×C₆₇	1	2	yes	—
626	#481	C₂²×C₆₇	1	2	yes	—
627	#480	C₂²×C₆₇	1	2	yes	—
628	#480	C₂²×C₆₇	1	2	yes	—
629	#479	C₂²×C₆₇	1	1	yes	characteristic
630	#479	C₂²×C₆₇	1	2	yes	—
631	#479	C₂²×C₆₇	1	2	yes	—
632	#478	C₂²×C₆₇	1	1	yes	characteristic
633	#478	C₂²×C₆₇	1	2	yes	—
634	#478	C₂²×C₆₇	1	2	yes	—
635	#478	C₂²×C₆₇	1	2	yes	—
636	#478	C₂²×C₆₇	1	2	yes	—
637	#477	C₂²×C₆₇	1	2	yes	—
638	#477	C₂²×C₆₇	1	2	yes	—
639	#476	C₂²×C₆₇	1	2	yes	—
640	#475	C₂²×C₆₇	1	1	yes	characteristic
641	#475	C₂²×C₆₇	1	1	yes	characteristic
642	#475	C₂²×C₆₇	1	1	yes	characteristic
643	#474	C₂²×C₆₇	1	2	yes	—
644	#474	C₂²×C₆₇	1	1	yes	characteristic
645	#474	C₂²×C₆₇	1	1	yes	characteristic
646	#474	C₂²×C₆₇	1	2	yes	—
647	#474	C₂²×C₆₇	1	1	yes	characteristic
648	#474	C₂²×C₆₇	1	2	yes	—
649	#474	C₂²×C₆₇	1	2	yes	—
650	#474	C₂²×C₆₇	1	2	yes	—
651	#464	C₂²×C₆₇	1	1	yes	characteristic
652	#464	C₂²×C₆₇	1	2	yes	—
653	#463	C₂²×C₆₇	1	1	yes	characteristic
654	#463	C₂²×C₆₇	1	2	yes	—
655	#460	C₂²×C₆₇	1	1	yes	characteristic
656	#460	C₂²×C₆₇	1	2	yes	—
657	#459	C₂²×C₆₇	1	2	yes	—
658	#459	C₂²×C₆₇	1	1	yes	characteristic
659	#452	C₂²×C₆₇	1	1	yes	characteristic
660	#449	C₂²×C₆₇	1	1	yes	characteristic
661	#449	C₂²×C₆₇	1	2	yes	—
662	#446	C₂²×C₆₇	1	1	yes	characteristic
663	#446	C₂²×C₆₇	1	2	yes	—
664	#446	C₂²×C₆₇	1	1	yes	characteristic
665	#446	C₂²×C₆₇	1	2	yes	—
666	C₈×Q₈	C₂²×C₆₇	1	1	yes	characteristic
667	C₈×Q₈	C₂²×C₆₇	1	1	yes	characteristic
668	#442	C₂²×C₆₇	1	2	yes	—
669	#442	C₂²×C₆₇	1	2	yes	—
670	#440	C₂²×C₆₇	1	2	yes	—
671	#440	C₂²×C₆₇	1	2	yes	—
672	#440	C₂²×C₆₇	1	2	yes	—
673	#440	C₂²×C₆₇	1	2	yes	—
674	C₄×Q₁₆	C₂²×C₆₇	1	1	yes	characteristic
675	C₄×Q₁₆	C₂²×C₆₇	1	2	yes	—
676	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic
677	C₄×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic
678	C₄×SD₁₆	C₂²×C₆₇	1	2	yes	—
679	C₄×D₈	C₂²×C₆₇	1	1	yes	characteristic
680	C₄×D₈	C₂²×C₆₇	1	2	yes	—
681	C₄×D₈	C₂²×C₆₇	1	2	yes	—
682	#433	C₂²×C₆₇	1	2	yes	—
683	#433	C₂²×C₆₇	1	2	yes	—
684	#432	C₂²×C₆₇	1	1	yes	characteristic
685	#431	C₂²×C₆₇	1	1	yes	characteristic
686	C₂×#41	—	2	1	no	—
687	C₂×#41	—	2	1	no	—
688	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
689	C₂²×Q₈	—	2	1	no	—
690	C₂²×Q₈	—	2	1	no	—
691	C₂²×Q₈	—	2	1	no	—
692	C₂²×Q₈	—	2	1	no	—
693	C₂×Q₁₆	C₂³×C₆₇	1	1	yes	characteristic
694	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
695	C₂×SD₁₆	C₂³×C₆₇	1	2	yes	—
696	C₂×SD₁₆	C₂³×C₆₇	1	1	yes	characteristic
697	C₂×D₈	C₂³×C₆₇	1	1	yes	characteristic
698	C₂×D₈	C₂³×C₆₇	1	2	yes	—
699	C₄⋊Q₈	—	2	1	no	—
700	C₄⋊Q₈	—	2	1	no	—
701	C₄⋊Q₈	—	2	1	no	—
702	C₄⋊Q₈	—	2	2	no	—
703	C₄⋊Q₈	—	2	2	no	—
704	C₄⋊Q₈	—	2	2	no	—
705	C₄⋊Q₈	—	2	2	no	—
706	C₄⋊Q₈	—	2	1	no	—
707	C₄⋊Q₈	—	2	1	no	—
708	C₄⋊Q₈	D₄×C₆₇	1	1	yes	characteristic
709	C₄⋊Q₈	D₄×C₆₇	1	1	yes	characteristic
710	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
711	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
712	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
713	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
714	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
715	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
716	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
717	#127	C₂³×C₆₇	1	1	yes	characteristic
718	#127	C₂³×C₆₇	1	2	yes	—
719	#126	—	2	2	no	—
720	#126	—	2	1	no	—
721	#125	—	2	2	no	—
722	#125	—	2	2	no	—
723	#125	—	2	2	no	—
724	#125	—	2	2	no	—
725	#125	D₄×C₆₇	1	2	yes	—
726	#125	C₂³×C₆₇	1	1	yes	characteristic
727	#125	C₂³×C₆₇	1	2	yes	—
728	#125	C₂³×C₆₇	1	2	yes	—
729	#125	C₂³×C₆₇	1	2	yes	—
730	#124	—	2	1	no	—
731	#124	—	2	2	no	—
732	#124	—	2	2	no	—
733	#124	—	2	1	no	—
734	#124	C₂³×C₆₇	1	1	yes	characteristic
735	#124	C₂³×C₆₇	1	2	yes	—
736	#123	—	2	1	no	—
737	#123	—	2	2	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	D₄×C₆₇	1	1	yes	characteristic
759	C₂²⋊Q₈	D₄×C₆₇	1	1	yes	characteristic
760	C₂²⋊Q₈	D₄×C₆₇	1	2	yes	—
761	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
762	#121	—	2	1	no	—
763	#121	—	2	2	no	—
764	#121	—	2	1	no	—
765	#121	—	2	2	no	—
766	#121	—	2	2	no	—
767	#121	C₂³×C₆₇	1	1	yes	characteristic
768	#121	C₂³×C₆₇	1	2	yes	—
769	C₄×Q₈	—	2	2	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
774	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
775	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
776	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
777	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
778	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
779	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
791	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
792	C₄×D₄	C₂³×C₆₇	1	2	yes	—
793	C₄×D₄	C₂³×C₆₇	1	2	yes	—
794	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
795	C₄×D₄	C₂³×C₆₇	1	2	yes	—
796	C₄×D₄	C₂³×C₆₇	1	2	yes	—
797	C₄×D₄	C₂³×C₆₇	1	2	yes	—
798	C₄×D₄	C₂³×C₆₇	1	2	yes	—
799	#117	—	2	2	no	—
800	#117	—	2	1	no	—
801	#117	—	2	1	no	—
802	#117	C₂³×C₆₇	1	1	yes	characteristic
803	#117	C₂³×C₆₇	1	2	yes	—
804	C₂×C₄⋊C₄	—	2	1	no	—
805	C₂×C₄⋊C₄	—	2	2	no	—
806	C₂×C₄⋊C₄	—	2	2	no	—
807	C₂×C₄⋊C₄	—	2	2	no	—
808	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
809	C₂×C₄²	—	2	1	no	—
810	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
811	#107	C₂³×C₆₇	1	2	yes	—
812	#107	C₂³×C₆₇	1	1	yes	characteristic
813	#107	C₂³×C₆₇	1	2	yes	—
814	#107	C₂³×C₆₇	1	2	yes	—
815	#107	C₂³×C₆₇	1	1	yes	characteristic
816	#107	C₂³×C₆₇	1	2	yes	—
817	#107	C₂³×C₆₇	1	2	yes	—
818	#107	C₂³×C₆₇	1	2	yes	—
819	#107	C₂³×C₆₇	1	2	yes	—
820	#106	C₂³×C₆₇	1	2	yes	—
821	#106	C₂³×C₆₇	1	1	yes	characteristic
822	#106	C₂³×C₆₇	1	1	yes	characteristic
823	#106	C₂³×C₆₇	1	2	yes	—
824	#106	C₂³×C₆₇	1	2	yes	—
825	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
828	C₄⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
829	C₄⋊C₈	C₂³×C₆₇	1	2	yes	—
830	C₄⋊C₈	C₂³×C₆₇	1	2	yes	—
831	C₄⋊C₈	C₂³×C₆₇	1	2	yes	—
832	C₄⋊C₈	C₂³×C₆₇	1	2	yes	—
833	#103	C₂³×C₆₇	1	1	yes	characteristic
834	#103	C₂³×C₆₇	1	1	yes	characteristic
835	#103	C₂³×C₆₇	1	1	yes	characteristic
836	#103	C₂³×C₆₇	1	2	yes	—
837	#103	C₂³×C₆₇	1	2	yes	—
838	#103	C₂³×C₆₇	1	1	yes	characteristic
839	#103	C₂³×C₆₇	1	2	yes	—
840	#102	C₂³×C₆₇	1	1	yes	characteristic
841	#102	C₂³×C₆₇	1	2	yes	—
842	#102	C₂³×C₆₇	1	2	yes	—
843	#102	C₂³×C₆₇	1	1	yes	characteristic
844	#102	C₂³×C₆₇	1	2	yes	—
845	#102	C₂³×C₆₇	1	1	yes	characteristic
846	#102	C₂³×C₆₇	1	2	yes	—
847	#102	C₂³×C₆₇	1	1	yes	characteristic
848	#102	C₂³×C₆₇	1	2	yes	—
849	#102	C₂³×C₆₇	1	2	yes	—
850	#102	C₂³×C₆₇	1	2	yes	—
851	#102	C₂³×C₆₇	1	2	yes	—
852	#102	C₂³×C₆₇	1	2	yes	—
853	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
854	C₂²⋊C₈	C₂³×C₆₇	1	1	yes	characteristic
855	C₂²⋊C₈	C₂³×C₆₇	1	2	yes	—
856	#97	C₂³×C₆₇	1	2	yes	—
857	#97	C₂³×C₆₇	1	2	yes	—
858	#97	C₂³×C₆₇	1	2	yes	—
859	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
860	C₄×C₈	C₂³×C₆₇	1	1	yes	characteristic
861	C₄×C₈	C₂³×C₆₇	1	2	yes	—
862	C₄×C₈	C₂³×C₆₇	1	2	yes	—
863	#41	—	2	2	no	—
864	#41	—	2	2	no	—
865	#41	—	8	2	no	—
866	#41	—	8	2	no	—
867	C₂×Q₈	—	2	1	no	—
868	C₂×Q₈	—	2	1	no	—
869	C₂×Q₈	—	2	1	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	2	2	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	8	2	no	—
875	C₂×Q₈	—	8	2	no	—
876	C₂×Q₈	—	8	2	no	—
877	C₂×Q₈	—	8	2	no	—
878	C₂×Q₈	C₂×D₄×C₆₇	1	1	yes	characteristic
879	C₂×Q₈	C₂×D₄×C₆₇	1	1	yes	characteristic
880	C₂×Q₈	C₂×D₄×C₆₇	1	2	yes	—
881	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
882	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
883	C₂×D₄	—	2	1	no	—
884	C₂×D₄	—	2	1	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	1	no	—
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
891	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
892	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
905	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
906	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
907	Q₁₆	—	2	2	no	—
908	SD₁₆	—	2	2	no	—
909	SD₁₆	—	2	4	no	—
910	SD₁₆	—	2	2	no	—
911	D₈	—	2	2	no	—
912	D₈	—	2	4	no	—
913	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
914	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
915	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
916	C₂×C₈	C₂⁴×C₆₇	1	1	yes	characteristic
917	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
918	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
919	C₄⋊C₄	—	2	1	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
943	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
944	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
945	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
946	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
947	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
948	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
949	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
950	C₄⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
951	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
952	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
953	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
954	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
955	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
956	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
957	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
958	C₂²⋊C₄	—	2	1	no	—
959	C₂²⋊C₄	—	2	1	no	—
960	C₂²⋊C₄	—	2	1	no	—
961	C₂²⋊C₄	—	2	1	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	1	no	—
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
976	C₂²⋊C₄	C₂×D₄×C₆₇	1	2	yes	—
977	C₄²	—	2	1	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	1	no	—
980	C₄²	—	2	1	no	—
981	C₄²	—	2	2	no	—
982	C₄²	—	2	2	no	—
983	C₄²	—	2	2	no	—
984	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
985	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
986	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
987	C₄²	C₂⁴×C₆₇	1	2	yes	—
988	C₄²	C₂⁴×C₆₇	1	2	yes	—
989	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
990	C₂³	—	2	1	no	—
991	C₂³	—	2	1	no	—
992	C₂³	—	2	2	no	—
993	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
994	Q₈	—	2	2	no	—
995	Q₈	—	2	2	no	—
996	Q₈	—	2	1	no	—
997	Q₈	—	2	1	no	—
998	Q₈	—	2	1	no	—
999	Q₈	—	4	2	no	—
1000	Q₈	—	4	2	no	—
1001	Q₈	—	4	2	no	—
1002	Q₈	—	4	2	no	—
1003	Q₈	—	8	2	no	—
1004	Q₈	—	8	2	no	—
1005	Q₈	—	8	2	no	—
1006	Q₈	—	8	2	no	—
1007	Q₈	2₋¹⁺⁴×C₆₇	1	2	yes	—
1008	D₄	—	2	4	no	—
1009	D₄	—	2	1	no	—
1010	D₄	—	2	1	no	—
1011	D₄	—	2	2	no	—
1012	D₄	—	2	1	no	—
1013	D₄	—	2	2	no	—
1014	D₄	—	4	2	no	—
1015	D₄	—	8	2	no	—
1016	D₄	—	8	1	no	—
1017	D₄	—	8	2	no	—
1018	D₄	—	8	2	no	—
1019	D₄	—	8	1	no	—
1020	D₄	2₋¹⁺⁴×C₆₇	1	2	yes	—
1021	C₂×C₄	—	2	4	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	4	1	no	—
1035	C₂×C₄	—	4	2	no	—
1036	C₂×C₄	—	4	2	no	—
1037	C₂×C₄	—	4	2	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	2	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	—	8	2	no	—
1042	C₂×C₄	—	8	2	no	—
1043	C₂×C₄	—	8	2	no	—
1044	C₂×C₄	—	8	2	no	—
1045	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1046	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1047	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1048	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1049	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1050	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1051	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1052	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
1053	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1054	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1055	C₈	—	2	1	no	—
1056	C₈	—	2	2	no	—
1057	C₈	—	2	1	no	—
1058	C₈	—	2	2	no	—
1059	C₈	—	2	1	no	—
1060	C₈	—	2	1	no	—
1061	C₂²	—	2	1	no	—
1062	C₂²	—	2	1	no	—
1063	C₂²	—	2	1	no	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	1	no	—
1067	C₂²	—	4	1	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	4	2	no	—
1070	C₂²	—	4	1	no	—
1071	C₂²	—	4	1	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1074	C₄	—	2	1	no	—
1075	C₄	—	2	2	no	—
1076	C₄	—	2	2	no	—
1077	C₄	—	2	1	no	—
1078	C₄	—	2	1	no	—
1079	C₄	—	2	2	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	2	1	no	—
1082	C₄	—	2	2	no	—
1083	C₄	—	4	1	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	2	no	—
1087	C₄	—	4	2	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	1	no	—
1091	C₄	#576×C₆₇	1	2	yes	—
1092	C₄	C₂×2₋¹⁺⁴×C₆₇	1	1	yes	characteristic
1093	C₄	C₂×2₋¹⁺⁴×C₆₇	1	1	yes	characteristic
1094	C₂	—	4	1	no	—
1095	C₂	—	4	2	no	—
1096	C₂	—	8	1	no	—
1097	C₂	—	8	2	no	—
1098	C₂	C₆₇×#3486	1	1	yes	characteristic
1099	C₂	C₂×#576×C₆₇	1	1	yes	characteristic
1100	C₂	C₆₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₆₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₆₇ ◁ #533×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#3554	C₂	semidirect
2. C₆₇×#3503	C₂	semidirect
3. C₆₇×#3389	C₂	semidirect
4. C₆₇×#3386	C₂	semidirect
5. C₆₇×#3386	C₂	semidirect
6. C₆₇×#3385	C₂	semidirect
7. C₆₇×#3383	C₂	semidirect
8. Q₈×D₈×C₆₇	C₂	semidirect
9. C₆₇×#3375	C₂	semidirect
10. C₆₇×#3373	C₂	semidirect
11. C₆₇×#3370	C₂	semidirect
12. C₆₇×#3368	C₂	semidirect
13. C₆₇×#3365	C₂	semidirect
14. C₆₇×#3358	C₂	semidirect
15. C₆₇×#3243	C₂	semidirect
16. C₆₇×#3241	C₂	semidirect
17. C₆₇×#3239	C₂	semidirect
18. C₆₇×#3226	C₂	semidirect
19. C₆₇×#3124	C₂	semidirect
20. C₆₇×#3119	C₂	semidirect
21. C₆₇×#3115	C₂	semidirect
22. C₆₇×#3102	C₂	semidirect
23. C₆₇×#2985	C₂	semidirect
543. #61857	C₆₇	direct (N × H)
551. #3554	C₂×C₆₇	semidirect
552. #3503	C₂×C₆₇	semidirect
553. #3389	C₂×C₆₇	semidirect
554. #3386	C₂×C₆₇	semidirect
555. #3386	C₂×C₆₇	semidirect
556. #3385	C₂×C₆₇	semidirect
557. #3383	C₂×C₆₇	semidirect
558. Q₈×D₈	C₂×C₆₇	semidirect
559. #3375	C₂×C₆₇	semidirect
560. #3373	C₂×C₆₇	semidirect
561. #3370	C₂×C₆₇	semidirect
562. #3368	C₂×C₆₇	semidirect
563. #3365	C₂×C₆₇	semidirect
564. #3358	C₂×C₆₇	semidirect
565. #3243	C₂×C₆₇	semidirect
566. #3241	C₂×C₆₇	semidirect
567. #3239	C₂×C₆₇	semidirect
568. #3226	C₂×C₆₇	semidirect
569. #3124	C₂×C₆₇	semidirect
570. #3119	C₂×C₆₇	semidirect
571. #3115	C₂×C₆₇	semidirect
572. #3102	C₂×C₆₇	semidirect
573. #2985	C₂×C₆₇	semidirect
574. C₆₇	#61857	direct (N × H)

Maximal subgroups

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

subgroup	index
C₆₇×#3554	2
C₆₇×#3503	2
C₆₇×#3389	2
C₆₇×#3386	2
C₆₇×#3385	2
C₆₇×#3383	2
Q₈×D₈×C₆₇	2
C₆₇×#3375	2
C₆₇×#3373	2
C₆₇×#3370	2
C₆₇×#3368	2
C₆₇×#3365	2
C₆₇×#3358	2
C₆₇×#3243	2
C₆₇×#3241	2
C₆₇×#3239	2
C₆₇×#3226	2
C₆₇×#3124	2
C₆₇×#3119	2
C₆₇×#3115	2
C₆₇×#3102	2
C₆₇×#2985	2
#61857	67

Subgroups — C67×#61857 #30741108

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#61857 #30741108