Subgroups — C₆₇×#61158 #30740409

Order 17152.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#548×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₆₇×#3327	C₂	1	2	yes	maximal, complemented
4	C₆₇×#3326	C₂	1	2	yes	maximal, complemented
5	C₆₇×#3321	C₂	1	2	yes	maximal, complemented
6	C₆₇×#3316	C₂	1	2	yes	maximal, complemented
7	C₆₇×#3313	C₂	1	2	yes	maximal, complemented
8	C₆₇×#3308	C₂	1	2	yes	maximal, complemented
9	C₆₇×#3301	C₂	1	2	yes	maximal, complemented
10	C₆₇×#3300	C₂	1	2	yes	maximal, complemented
11	C₆₇×#3140	C₂	1	1	yes	maximal, characteristic, complemented
12	C₆₇×#3095	C₂	1	1	yes	maximal, characteristic, complemented
13	C₆₇×#3094	C₂	1	1	yes	maximal, characteristic, complemented
14	C₆₇×#3078	C₂	1	1	yes	maximal, characteristic, complemented
15	C₆₇×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₆₇×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₆₇×#3040	C₂	1	1	yes	maximal, characteristic, complemented
18	C₆₇×#3005	C₂	1	1	yes	maximal, characteristic, complemented
19	C₆₇×#3004	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#137×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×M₁₆×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
22	C₆₇×#2896	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#419×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic
25	C₂³×Q₈×C₆₇	C₂²	1	1	yes	characteristic
26	C₂×#137×C₆₇	C₂²	1	1	yes	characteristic
27	C₂×#137×C₆₇	C₂²	1	1	yes	characteristic
28	C₂×AGL(1,ℤ/8)×C₆₇	C₂²	1	1	yes	characteristic
29	C₂²×M₁₆×C₆₇	C₂²	1	1	yes	characteristic
30	C₂²×M₁₆×C₆₇	C₂²	1	1	yes	characteristic
31	#556×C₆₇	C₂²	1	1	yes	characteristic, complemented
32	#555×C₆₇	C₂²	1	1	yes	characteristic, complemented
33	#554×C₆₇	C₂²	1	1	yes	characteristic, complemented
34	#553×C₆₇	C₂²	1	1	yes	characteristic, complemented
35	#553×C₆₇	C₂²	1	1	yes	characteristic, complemented
36	#552×C₆₇	—	2	1	no	—
37	#552×C₆₇	C₂²	1	1	yes	characteristic, complemented
38	#552×C₆₇	C₂²	1	1	yes	characteristic, complemented
39	#551×C₆₇	—	2	1	no	—
40	#551×C₆₇	—	2	1	no	—
41	#548×C₆₇	—	2	1	no	—
42	#548×C₆₇	—	2	1	no	—
43	#548×C₆₇	—	2	1	no	—
44	#548×C₆₇	—	2	1	no	—
45	#548×C₆₇	C₂²	1	2	yes	—
46	#548×C₆₇	C₂²	1	2	yes	—
47	#548×C₆₇	C₂²	1	2	yes	—
48	#548×C₆₇	C₂²	1	2	yes	—
49	#547×C₆₇	C₂²	1	1	yes	characteristic, complemented
50	#546×C₆₇	—	2	1	no	—
51	#533×C₆₇	C₂²	1	1	yes	characteristic
52	#529×C₆₇	—	2	1	no	—
53	#529×C₆₇	—	2	1	no	—
54	#529×C₆₇	—	2	1	no	—
55	C₂×#124×C₆₇	—	2	1	no	—
56	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
57	#525×C₆₇	C₂²	1	1	yes	characteristic
58	#525×C₆₇	C₂²	1	1	yes	characteristic
59	C₂×C₂²⋊Q₈×C₆₇	—	2	1	no	—
60	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
61	C₂×#121×C₆₇	—	2	1	no	—
62	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
63	C₄×#41×C₆₇	—	2	1	no	—
64	C₄×#41×C₆₇	C₂²	1	1	yes	characteristic
65	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic
66	C₂×C₄×D₄×C₆₇	—	2	1	no	—
67	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
68	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
69	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
70	#489×C₆₇	C₂²	1	2	yes	complemented
71	#489×C₆₇	C₂²	1	2	yes	complemented
72	#488×C₆₇	C₂²	1	2	yes	complemented
73	#488×C₆₇	C₂²	1	2	yes	complemented
74	#485×C₆₇	C₂²	1	2	yes	complemented
75	#485×C₆₇	C₂²	1	2	yes	complemented
76	#484×C₆₇	C₂²	1	2	yes	complemented
77	#483×C₆₇	C₂²	1	2	yes	complemented
78	#482×C₆₇	C₂²	1	2	yes	complemented
79	#482×C₆₇	C₂²	1	2	yes	complemented
80	#481×C₆₇	C₂²	1	2	yes	complemented
81	#480×C₆₇	C₂²	1	2	yes	complemented
82	#479×C₆₇	C₂²	1	2	yes	complemented
83	#479×C₆₇	C₂²	1	2	yes	complemented
84	#477×C₆₇	C₂²	1	2	yes	complemented
85	#475×C₆₇	C₂²	1	2	yes	complemented
86	#470×C₆₇	C₂²	1	2	yes	complemented
87	#469×C₆₇	C₂²	1	2	yes	complemented
88	#468×C₆₇	C₂²	1	2	yes	complemented
89	#468×C₆₇	C₂²	1	2	yes	complemented
90	#467×C₆₇	C₂²	1	2	yes	complemented
91	#466×C₆₇	C₂²	1	2	yes	complemented
92	#465×C₆₇	C₂²	1	2	yes	complemented
93	#465×C₆₇	C₂²	1	2	yes	complemented
94	#464×C₆₇	C₂²	1	2	yes	complemented
95	#464×C₆₇	C₂²	1	2	yes	complemented
96	#463×C₆₇	C₂²	1	2	yes	complemented
97	#463×C₆₇	C₂²	1	2	yes	complemented
98	#452×C₆₇	C₂²	1	2	yes	complemented
99	#452×C₆₇	C₂²	1	2	yes	complemented
100	#451×C₆₇	C₂²	1	2	yes	complemented
101	#451×C₆₇	C₂²	1	2	yes	complemented
102	#449×C₆₇	C₂²	1	2	yes	complemented
103	#449×C₆₇	C₂²	1	2	yes	complemented
104	#448×C₆₇	C₂²	1	2	yes	complemented
105	#448×C₆₇	C₂²	1	2	yes	complemented
106	#441×C₆₇	C₂²	1	2	yes	complemented
107	#440×C₆₇	C₂²	1	2	yes	complemented
108	C₄×Q₁₆×C₆₇	C₂²	1	2	yes	complemented
109	C₄×SD₁₆×C₆₇	C₂²	1	2	yes	complemented
110	#436×C₆₇	C₂²	1	2	yes	complemented
111	#435×C₆₇	C₂²	1	2	yes	complemented
112	#435×C₆₇	C₂²	1	2	yes	complemented
113	C₈×D₄×C₆₇	C₂²	1	2	yes	complemented
114	#428×C₆₇	C₂²	1	1	yes	characteristic
115	#428×C₆₇	C₂²	1	1	yes	characteristic
116	#428×C₆₇	C₂²	1	1	yes	characteristic
117	#423×C₆₇	C₂²	1	1	yes	characteristic
118	#419×C₆₇	C₂²	1	1	yes	characteristic
119	#419×C₆₇	C₂²	1	1	yes	characteristic
120	#419×C₆₇	C₂²	1	1	yes	characteristic
121	#419×C₆₇	C₂²	1	1	yes	characteristic
122	#419×C₆₇	C₂²	1	1	yes	characteristic
123	#419×C₆₇	C₂²	1	1	yes	characteristic
124	#419×C₆₇	C₂²	1	2	yes	complemented
125	#419×C₆₇	C₂²	1	2	yes	complemented
126	#418×C₆₇	C₂²	1	1	yes	characteristic
127	#418×C₆₇	C₂²	1	1	yes	characteristic
128	#418×C₆₇	C₂²	1	1	yes	characteristic
129	#417×C₆₇	C₂²	1	1	yes	characteristic
130	#417×C₆₇	C₂²	1	2	yes	complemented
131	#417×C₆₇	C₂²	1	2	yes	complemented
132	#416×C₆₇	C₂²	1	2	yes	complemented
133	#416×C₆₇	C₂²	1	2	yes	complemented
134	C₂×#103×C₆₇	C₂²	1	2	yes	complemented
135	C₂×#103×C₆₇	C₂²	1	2	yes	complemented
136	#407×C₆₇	C₂²	1	1	yes	characteristic
137	#407×C₆₇	C₂²	1	1	yes	characteristic
138	C₄×M₁₆×C₆₇	C₂²	1	1	yes	characteristic
139	C₂×#41×C₆₇	—	2	1	no	—
140	C₂×#41×C₆₇	—	2	1	no	—
141	C₂×#41×C₆₇	—	2	1	no	—
142	C₂×#41×C₆₇	—	2	4	no	—
143	C₂×#41×C₆₇	—	4	2	no	—
144	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
145	C₂×#41×C₆₇	C₂³	1	2	yes	—
146	C₂×#41×C₆₇	C₂³	1	2	yes	—
147	C₂²×Q₈×C₆₇	—	2	1	no	—
148	C₂²×Q₈×C₆₇	—	2	1	no	—
149	C₂²×Q₈×C₆₇	—	2	1	no	—
150	C₂²×Q₈×C₆₇	—	2	4	no	—
151	C₂²×Q₈×C₆₇	—	4	2	no	—
152	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
153	C₂²×Q₈×C₆₇	C₂³	1	2	yes	—
154	C₂²×Q₈×C₆₇	C₂³	1	2	yes	—
155	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
156	C₂²×D₄×C₆₇	—	2	1	no	—
157	C₂²×D₄×C₆₇	—	2	1	no	—
158	C₂²×D₄×C₆₇	D₄	1	1	yes	characteristic
159	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₆₇	—	2	1	no	—
161	C₂³×C₄×C₆₇	—	2	1	no	—
162	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
164	#137×C₆₇	—	2	4	no	—
165	#137×C₆₇	—	4	2	no	—
166	AGL(1,ℤ/8)×C₆₇	—	4	2	no	—
167	C₂×Q₁₆×C₆₇	C₂³	1	2	yes	—
168	C₂×Q₁₆×C₆₇	C₂³	1	2	yes	—
169	C₂×SD₁₆×C₆₇	C₂³	1	2	yes	—
170	C₂×SD₁₆×C₆₇	C₂³	1	2	yes	—
171	C₂×SD₁₆×C₆₇	C₂³	1	2	yes	—
172	C₂×D₈×C₆₇	C₂³	1	2	yes	—
173	C₂×M₁₆×C₆₇	—	4	2	no	—
174	C₂×M₁₆×C₆₇	—	4	2	no	—
175	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
176	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
177	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
178	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
179	C₂×M₁₆×C₆₇	C₂³	1	2	yes	—
180	C₂×M₁₆×C₆₇	C₂³	1	2	yes	—
181	C₂²×C₈×C₆₇	C₂³	1	2	yes	—
182	C₂²×C₈×C₆₇	C₂³	1	2	yes	—
183	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
184	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
185	#126×C₆₇	—	2	1	no	—
186	#126×C₆₇	—	2	1	no	—
187	#126×C₆₇	—	2	1	no	—
188	#126×C₆₇	—	2	1	no	—
189	#126×C₆₇	—	2	1	no	—
190	#126×C₆₇	—	2	1	no	—
191	#125×C₆₇	—	2	1	no	—
192	#125×C₆₇	—	2	1	no	—
193	#125×C₆₇	—	2	1	no	—
194	#125×C₆₇	C₂³	1	1	yes	characteristic
195	#125×C₆₇	C₂³	1	1	yes	characteristic
196	#124×C₆₇	—	2	1	no	—
197	#124×C₆₇	—	2	2	no	—
198	#124×C₆₇	—	2	2	no	—
199	#124×C₆₇	—	2	2	no	—
200	#124×C₆₇	—	2	2	no	—
201	#124×C₆₇	—	2	1	no	—
202	#124×C₆₇	—	2	1	no	—
203	#124×C₆₇	—	2	1	no	—
204	#124×C₆₇	—	2	1	no	—
205	#124×C₆₇	C₂³	1	2	yes	—
206	#124×C₆₇	C₂³	1	2	yes	—
207	#123×C₆₇	—	2	1	no	—
208	#123×C₆₇	—	2	1	no	—
209	#123×C₆₇	—	2	1	no	—
210	#123×C₆₇	—	2	1	no	—
211	#123×C₆₇	—	2	1	no	—
212	#123×C₆₇	—	2	1	no	—
213	#123×C₆₇	—	2	1	no	—
214	#123×C₆₇	—	2	1	no	—
215	C₂²⋊Q₈×C₆₇	—	2	1	no	—
216	C₂²⋊Q₈×C₆₇	—	2	1	no	—
217	C₂²⋊Q₈×C₆₇	—	2	1	no	—
218	C₂²⋊Q₈×C₆₇	—	2	1	no	—
219	C₂²⋊Q₈×C₆₇	—	2	2	no	—
220	C₂²⋊Q₈×C₆₇	—	2	2	no	—
221	C₂²⋊Q₈×C₆₇	—	2	2	no	—
222	C₂²⋊Q₈×C₆₇	—	2	2	no	—
223	C₂²⋊Q₈×C₆₇	—	2	1	no	—
224	C₂²⋊Q₈×C₆₇	—	2	1	no	—
225	C₂²⋊Q₈×C₆₇	—	2	1	no	—
226	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
227	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
228	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
229	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
230	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
231	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
232	#121×C₆₇	—	2	2	no	—
233	#121×C₆₇	—	2	2	no	—
234	#121×C₆₇	—	2	2	no	—
235	#121×C₆₇	—	2	2	no	—
236	#121×C₆₇	—	2	1	no	—
237	#121×C₆₇	—	2	1	no	—
238	#121×C₆₇	—	2	1	no	—
239	#121×C₆₇	—	2	1	no	—
240	#121×C₆₇	—	2	1	no	—
241	#121×C₆₇	C₂³	1	1	yes	characteristic
242	#121×C₆₇	C₂³	1	1	yes	characteristic
243	#121×C₆₇	C₂³	1	1	yes	characteristic
244	#121×C₆₇	C₂³	1	1	yes	characteristic
245	#121×C₆₇	C₂³	1	2	yes	—
246	#121×C₆₇	C₂³	1	2	yes	—
247	#120×C₆₇	—	2	1	no	—
248	#120×C₆₇	—	2	1	no	—
249	C₄×Q₈×C₆₇	—	2	1	no	—
250	C₄×Q₈×C₆₇	—	2	1	no	—
251	C₄×Q₈×C₆₇	—	2	1	no	—
252	C₄×Q₈×C₆₇	—	2	1	no	—
253	C₄×Q₈×C₆₇	—	2	1	no	—
254	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₆₇	C₂³	1	1	yes	characteristic
256	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
257	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
258	C₄×D₄×C₆₇	—	2	1	no	—
259	C₄×D₄×C₆₇	—	2	1	no	—
260	C₄×D₄×C₆₇	—	2	1	no	—
261	C₄×D₄×C₆₇	—	2	1	no	—
262	C₄×D₄×C₆₇	—	2	1	no	—
263	C₄×D₄×C₆₇	—	2	1	no	—
264	C₄×D₄×C₆₇	—	2	1	no	—
265	C₄×D₄×C₆₇	—	2	2	no	—
266	C₄×D₄×C₆₇	—	2	2	no	—
267	C₄×D₄×C₆₇	—	2	2	no	—
268	C₄×D₄×C₆₇	—	2	2	no	—
269	C₄×D₄×C₆₇	—	2	1	no	—
270	C₄×D₄×C₆₇	—	2	1	no	—
271	C₄×D₄×C₆₇	D₄	1	1	yes	characteristic
272	C₄×D₄×C₆₇	D₄	1	1	yes	characteristic
273	C₄×D₄×C₆₇	D₄	1	1	yes	characteristic
274	C₄×D₄×C₆₇	D₄	1	1	yes	characteristic
275	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
277	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
281	#117×C₆₇	—	2	1	no	—
282	#117×C₆₇	—	2	1	no	—
283	#117×C₆₇	—	2	1	no	—
284	#117×C₆₇	—	2	1	no	—
285	#117×C₆₇	—	2	1	no	—
286	#117×C₆₇	—	2	1	no	—
287	#117×C₆₇	—	2	1	no	—
288	#117×C₆₇	—	2	1	no	—
289	#117×C₆₇	C₂³	1	1	yes	characteristic
290	#117×C₆₇	C₂³	1	1	yes	characteristic
291	#117×C₆₇	C₂³	1	1	yes	characteristic
292	#117×C₆₇	C₂³	1	1	yes	characteristic
293	#117×C₆₇	C₂³	1	1	yes	characteristic
294	#117×C₆₇	C₂³	1	1	yes	characteristic
295	#117×C₆₇	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
297	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
298	C₂×C₄⋊C₄×C₆₇	D₄	1	1	yes	characteristic
299	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
305	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
306	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
307	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
308	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
309	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
310	C₂×C₂²⋊C₄×C₆₇	D₄	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₆₇	D₄	1	1	yes	characteristic
312	C₂×C₄²×C₆₇	—	2	1	no	—
313	C₂×C₄²×C₆₇	—	2	1	no	—
314	C₂×C₄²×C₆₇	—	2	1	no	—
315	C₂×C₄²×C₆₇	—	2	1	no	—
316	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
317	#107×C₆₇	C₂³	1	2	yes	—
318	#107×C₆₇	C₂³	1	2	yes	—
319	#107×C₆₇	C₂³	1	2	yes	—
320	#106×C₆₇	C₂³	1	2	yes	—
321	#106×C₆₇	C₂³	1	2	yes	—
322	#106×C₆₇	C₂³	1	2	yes	—
323	C₄⋊C₈×C₆₇	C₂³	1	2	yes	—
324	C₄⋊C₈×C₆₇	C₂³	1	2	yes	—
325	#103×C₆₇	C₂³	1	2	yes	—
326	#103×C₆₇	C₂³	1	2	yes	—
327	#103×C₆₇	C₂³	1	2	yes	—
328	#103×C₆₇	C₂³	1	2	yes	—
329	#103×C₆₇	C₂³	1	2	yes	—
330	#103×C₆₇	C₂³	1	2	yes	—
331	#103×C₆₇	C₂³	1	2	yes	—
332	#103×C₆₇	C₂³	1	2	yes	—
333	#103×C₆₇	C₂³	1	2	yes	—
334	#103×C₆₇	C₂³	1	2	yes	—
335	#103×C₆₇	C₂³	1	2	yes	—
336	#103×C₆₇	C₂³	1	2	yes	—
337	#103×C₆₇	C₂³	1	2	yes	—
338	#102×C₆₇	C₂³	1	2	yes	—
339	#102×C₆₇	C₂³	1	2	yes	—
340	#102×C₆₇	C₂³	1	2	yes	—
341	#102×C₆₇	C₂³	1	2	yes	—
342	#102×C₆₇	C₂³	1	2	yes	—
343	#102×C₆₇	C₂³	1	2	yes	—
344	#102×C₆₇	C₂³	1	2	yes	—
345	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
346	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
347	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
348	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
349	#97×C₆₇	C₂³	1	2	yes	—
350	C₄×C₈×C₆₇	C₂³	1	2	yes	—
351	C₂⁴×C₆₇	—	2	1	no	—
352	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
353	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
354	#41×C₆₇	—	2	4	no	—
355	#41×C₆₇	—	2	4	no	—
356	#41×C₆₇	—	2	2	no	—
357	#41×C₆₇	—	2	2	no	—
358	#41×C₆₇	—	4	2	no	—
359	#41×C₆₇	—	4	2	no	—
360	#41×C₆₇	—	4	4	no	—
361	#41×C₆₇	—	4	4	no	—
362	#41×C₆₇	—	4	4	no	—
363	C₂×Q₈×C₆₇	—	2	1	no	—
364	C₂×Q₈×C₆₇	—	2	1	no	—
365	C₂×Q₈×C₆₇	—	2	2	no	—
366	C₂×Q₈×C₆₇	—	2	2	no	—
367	C₂×Q₈×C₆₇	—	2	1	no	—
368	C₂×Q₈×C₆₇	—	2	1	no	—
369	C₂×Q₈×C₆₇	—	2	2	no	—
370	C₂×Q₈×C₆₇	—	2	4	no	—
371	C₂×Q₈×C₆₇	—	2	4	no	—
372	C₂×Q₈×C₆₇	—	2	2	no	—
373	C₂×Q₈×C₆₇	—	2	2	no	—
374	C₂×Q₈×C₆₇	—	4	4	no	—
375	C₂×Q₈×C₆₇	—	4	2	no	—
376	C₂×Q₈×C₆₇	—	4	2	no	—
377	C₂×Q₈×C₆₇	—	4	4	no	—
378	C₂×Q₈×C₆₇	—	4	4	no	—
379	C₂×Q₈×C₆₇	#41	1	4	yes	complemented
380	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
381	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
383	C₂×D₄×C₆₇	—	2	1	no	—
384	C₂×D₄×C₆₇	—	2	1	no	—
385	C₂×D₄×C₆₇	—	2	1	no	—
386	C₂×D₄×C₆₇	—	2	2	no	—
387	C₂×D₄×C₆₇	—	2	2	no	—
388	C₂×D₄×C₆₇	—	2	2	no	—
389	C₂×D₄×C₆₇	—	2	2	no	—
390	C₂×D₄×C₆₇	—	2	1	no	—
391	C₂×D₄×C₆₇	—	2	1	no	—
392	C₂×D₄×C₆₇	—	2	1	no	—
393	C₂×D₄×C₆₇	—	2	2	no	—
394	C₂×D₄×C₆₇	—	2	2	no	—
395	C₂×D₄×C₆₇	—	4	4	no	—
396	C₂×D₄×C₆₇	—	4	2	no	—
397	C₂×D₄×C₆₇	—	4	4	no	—
398	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
399	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
400	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
401	C₂×D₄×C₆₇	C₂×D₄	1	1	yes	characteristic
402	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
403	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₆₇	—	2	1	no	—
405	C₂²×C₄×C₆₇	—	2	2	no	—
406	C₂²×C₄×C₆₇	—	2	2	no	—
407	C₂²×C₄×C₆₇	—	2	2	no	—
408	C₂²×C₄×C₆₇	—	2	2	no	—
409	C₂²×C₄×C₆₇	—	2	1	no	—
410	C₂²×C₄×C₆₇	—	2	1	no	—
411	C₂²×C₄×C₆₇	—	2	1	no	—
412	C₂²×C₄×C₆₇	—	2	1	no	—
413	C₂²×C₄×C₆₇	—	2	2	no	—
414	C₂²×C₄×C₆₇	—	2	2	no	—
415	C₂²×C₄×C₆₇	—	2	1	no	—
416	C₂²×C₄×C₆₇	—	2	1	no	—
417	C₂²×C₄×C₆₇	—	2	1	no	—
418	C₂²×C₄×C₆₇	—	2	1	no	—
419	C₂²×C₄×C₆₇	—	2	2	no	—
420	C₂²×C₄×C₆₇	—	2	2	no	—
421	C₂²×C₄×C₆₇	—	2	1	no	—
422	C₂²×C₄×C₆₇	—	4	4	no	—
423	C₂²×C₄×C₆₇	—	4	4	no	—
424	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
425	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
426	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
427	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
428	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
429	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
430	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
431	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
432	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
437	Q₁₆×C₆₇	—	2	4	no	—
438	Q₁₆×C₆₇	—	4	2	no	—
439	SD₁₆×C₆₇	—	2	4	no	—
440	SD₁₆×C₆₇	—	4	2	no	—
441	SD₁₆×C₆₇	—	4	2	no	—
442	D₈×C₆₇	—	4	2	no	—
443	M₁₆×C₆₇	—	2	2	no	—
444	M₁₆×C₆₇	—	2	2	no	—
445	M₁₆×C₆₇	—	2	2	no	—
446	M₁₆×C₆₇	—	2	2	no	—
447	M₁₆×C₆₇	—	4	2	no	—
448	M₁₆×C₆₇	—	4	2	no	—
449	C₂×C₈×C₆₇	—	4	2	no	—
450	C₂×C₈×C₆₇	—	4	2	no	—
451	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
452	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
453	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
454	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
455	C₄⋊C₄×C₆₇	—	2	2	no	—
456	C₄⋊C₄×C₆₇	—	2	2	no	—
457	C₄⋊C₄×C₆₇	—	2	2	no	—
458	C₄⋊C₄×C₆₇	—	2	2	no	—
459	C₄⋊C₄×C₆₇	—	2	1	no	—
460	C₄⋊C₄×C₆₇	—	2	1	no	—
461	C₄⋊C₄×C₆₇	—	2	1	no	—
462	C₄⋊C₄×C₆₇	—	2	1	no	—
463	C₄⋊C₄×C₆₇	—	2	1	no	—
464	C₄⋊C₄×C₆₇	—	2	1	no	—
465	C₄⋊C₄×C₆₇	—	2	1	no	—
466	C₄⋊C₄×C₆₇	—	2	1	no	—
467	C₄⋊C₄×C₆₇	—	2	1	no	—
468	C₄⋊C₄×C₆₇	—	2	1	no	—
469	C₄⋊C₄×C₆₇	—	2	1	no	—
470	C₄⋊C₄×C₆₇	—	2	1	no	—
471	C₄⋊C₄×C₆₇	—	2	1	no	—
472	C₄⋊C₄×C₆₇	—	2	1	no	—
473	C₄⋊C₄×C₆₇	—	2	1	no	—
474	C₄⋊C₄×C₆₇	—	2	1	no	—
475	C₄⋊C₄×C₆₇	—	2	1	no	—
476	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
477	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
478	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
479	C₄⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
480	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
481	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
482	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
483	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
484	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
485	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
486	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
487	C₂²⋊C₄×C₆₇	—	2	1	no	—
488	C₂²⋊C₄×C₆₇	—	2	1	no	—
489	C₂²⋊C₄×C₆₇	—	2	1	no	—
490	C₂²⋊C₄×C₆₇	—	2	1	no	—
491	C₂²⋊C₄×C₆₇	—	2	1	no	—
492	C₂²⋊C₄×C₆₇	—	2	1	no	—
493	C₂²⋊C₄×C₆₇	—	2	1	no	—
494	C₂²⋊C₄×C₆₇	—	2	2	no	—
495	C₂²⋊C₄×C₆₇	—	2	2	no	—
496	C₂²⋊C₄×C₆₇	—	2	1	no	—
497	C₂²⋊C₄×C₆₇	—	2	1	no	—
498	C₂²⋊C₄×C₆₇	—	2	1	no	—
499	C₂²⋊C₄×C₆₇	—	2	1	no	—
500	C₂²⋊C₄×C₆₇	—	2	2	no	—
501	C₂²⋊C₄×C₆₇	—	2	2	no	—
502	C₂²⋊C₄×C₆₇	—	2	2	no	—
503	C₂²⋊C₄×C₆₇	—	2	2	no	—
504	C₂²⋊C₄×C₆₇	—	2	2	no	—
505	C₂²⋊C₄×C₆₇	—	2	2	no	—
506	C₂²⋊C₄×C₆₇	—	2	1	no	—
507	C₂²⋊C₄×C₆₇	—	2	1	no	—
508	C₂²⋊C₄×C₆₇	—	2	1	no	—
509	C₂²⋊C₄×C₆₇	—	2	1	no	—
510	C₂²⋊C₄×C₆₇	—	2	1	no	—
511	C₂²⋊C₄×C₆₇	—	2	1	no	—
512	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
513	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
514	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
515	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
516	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
517	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
518	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
519	C₂²⋊C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
520	C₄²×C₆₇	—	2	1	no	—
521	C₄²×C₆₇	—	2	1	no	—
522	C₄²×C₆₇	—	2	1	no	—
523	C₄²×C₆₇	—	2	1	no	—
524	C₄²×C₆₇	—	2	1	no	—
525	C₄²×C₆₇	—	2	1	no	—
526	C₄²×C₆₇	—	2	1	no	—
527	C₄²×C₆₇	—	2	1	no	—
528	C₄²×C₆₇	—	2	2	no	—
529	C₄²×C₆₇	—	2	2	no	—
530	C₄²×C₆₇	—	2	1	no	—
531	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
532	C₄²×C₆₇	C₂×D₄	1	1	yes	characteristic
533	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
534	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
535	C₂³×C₆₇	—	2	2	no	—
536	C₂³×C₆₇	—	2	2	no	—
537	C₂³×C₆₇	—	2	2	no	—
538	C₂³×C₆₇	—	2	1	no	—
539	C₂³×C₆₇	—	2	2	no	—
540	C₂³×C₆₇	—	4	1	no	—
541	C₂³×C₆₇	—	4	1	no	—
542	C₂³×C₆₇	—	4	1	no	—
543	C₂³×C₆₇	—	4	2	no	—
544	C₂³×C₆₇	—	4	2	no	—
545	C₂³×C₆₇	—	4	2	no	—
546	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
547	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
548	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
549	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
550	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
551	Q₈×C₆₇	—	2	4	no	—
552	Q₈×C₆₇	—	2	2	no	—
553	Q₈×C₆₇	—	2	1	no	—
554	Q₈×C₆₇	—	2	2	no	—
555	Q₈×C₆₇	—	2	1	no	—
556	Q₈×C₆₇	—	2	2	no	—
557	Q₈×C₆₇	—	4	4	no	—
558	Q₈×C₆₇	—	4	4	no	—
559	Q₈×C₆₇	—	4	2	no	—
560	Q₈×C₆₇	—	4	2	no	—
561	Q₈×C₆₇	—	8	1	no	—
562	Q₈×C₆₇	C₂×#41	1	4	yes	—
563	D₄×C₆₇	—	2	2	no	—
564	D₄×C₆₇	—	2	2	no	—
565	D₄×C₆₇	—	2	1	no	—
566	D₄×C₆₇	—	2	2	no	—
567	D₄×C₆₇	—	2	1	no	—
568	D₄×C₆₇	—	2	2	no	—
569	D₄×C₆₇	—	4	1	no	—
570	D₄×C₆₇	—	4	1	no	—
571	D₄×C₆₇	—	4	4	no	—
572	D₄×C₆₇	—	4	4	no	—
573	D₄×C₆₇	—	4	4	no	—
574	D₄×C₆₇	—	4	2	no	—
575	D₄×C₆₇	—	4	2	no	—
576	D₄×C₆₇	—	4	4	no	—
577	D₄×C₆₇	—	4	2	no	—
578	D₄×C₆₇	—	4	2	no	—
579	D₄×C₆₇	—	8	1	no	—
580	D₄×C₆₇	—	8	1	no	—
581	C₂×C₄×C₆₇	—	2	2	no	—
582	C₂×C₄×C₆₇	—	2	2	no	—
583	C₂×C₄×C₆₇	—	2	4	no	—
584	C₂×C₄×C₆₇	—	2	2	no	—
585	C₂×C₄×C₆₇	—	2	2	no	—
586	C₂×C₄×C₆₇	—	2	2	no	—
587	C₂×C₄×C₆₇	—	2	2	no	—
588	C₂×C₄×C₆₇	—	2	2	no	—
589	C₂×C₄×C₆₇	—	2	1	no	—
590	C₂×C₄×C₆₇	—	2	1	no	—
591	C₂×C₄×C₆₇	—	2	1	no	—
592	C₂×C₄×C₆₇	—	2	1	no	—
593	C₂×C₄×C₆₇	—	2	1	no	—
594	C₂×C₄×C₆₇	—	2	1	no	—
595	C₂×C₄×C₆₇	—	2	1	no	—
596	C₂×C₄×C₆₇	—	2	1	no	—
597	C₂×C₄×C₆₇	—	2	1	no	—
598	C₂×C₄×C₆₇	—	2	1	no	—
599	C₂×C₄×C₆₇	—	2	1	no	—
600	C₂×C₄×C₆₇	—	2	2	no	—
601	C₂×C₄×C₆₇	—	2	1	no	—
602	C₂×C₄×C₆₇	—	2	1	no	—
603	C₂×C₄×C₆₇	—	2	1	no	—
604	C₂×C₄×C₆₇	—	2	1	no	—
605	C₂×C₄×C₆₇	—	2	2	no	—
606	C₂×C₄×C₆₇	—	4	1	no	—
607	C₂×C₄×C₆₇	—	4	1	no	—
608	C₂×C₄×C₆₇	—	4	4	no	—
609	C₂×C₄×C₆₇	—	4	4	no	—
610	C₂×C₄×C₆₇	—	4	4	no	—
611	C₂×C₄×C₆₇	—	4	4	no	—
612	C₂×C₄×C₆₇	—	4	2	no	—
613	C₂×C₄×C₆₇	—	4	2	no	—
614	C₂×C₄×C₆₇	—	4	2	no	—
615	C₂×C₄×C₆₇	—	4	2	no	—
616	C₂×C₄×C₆₇	—	4	2	no	—
617	C₂×C₄×C₆₇	—	4	2	no	—
618	C₂×C₄×C₆₇	—	8	1	no	—
619	C₂×C₄×C₆₇	—	8	1	no	—
620	C₂×C₄×C₆₇	—	8	1	no	—
621	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
622	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
623	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
624	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
625	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
626	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
627	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
628	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
629	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
630	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
631	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
632	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
633	C₈×C₆₇	—	2	2	no	—
634	C₈×C₆₇	—	2	2	no	—
635	C₈×C₆₇	—	2	2	no	—
636	C₈×C₆₇	—	2	2	no	—
637	C₂²×C₆₇	—	2	1	no	—
638	C₂²×C₆₇	—	2	1	no	—
639	C₂²×C₆₇	—	2	1	no	—
640	C₂²×C₆₇	—	2	1	no	—
641	C₂²×C₆₇	—	2	1	no	—
642	C₂²×C₆₇	—	2	1	no	—
643	C₂²×C₆₇	—	2	1	no	—
644	C₂²×C₆₇	—	2	1	no	—
645	C₂²×C₆₇	—	2	1	no	—
646	C₂²×C₆₇	—	2	1	no	—
647	C₂²×C₆₇	—	2	1	no	—
648	C₂²×C₆₇	—	2	1	no	—
649	C₂²×C₆₇	—	2	1	no	—
650	C₂²×C₆₇	—	4	4	no	—
651	C₂²×C₆₇	—	4	1	no	—
652	C₂²×C₆₇	—	4	2	no	—
653	C₂²×C₆₇	—	4	2	no	—
654	C₂²×C₆₇	—	4	1	no	—
655	C₂²×C₆₇	—	4	1	no	—
656	C₂²×C₆₇	—	4	2	no	—
657	C₂²×C₆₇	—	8	2	no	—
658	C₂²×C₆₇	—	8	4	no	—
659	C₂²×C₆₇	#546	1	2	yes	—
660	C₂²×C₆₇	#575	1	2	yes	—
661	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
662	C₄×C₆₇	—	2	1	no	—
663	C₄×C₆₇	—	2	1	no	—
664	C₄×C₆₇	—	2	1	no	—
665	C₄×C₆₇	—	2	1	no	—
666	C₄×C₆₇	—	2	1	no	—
667	C₄×C₆₇	—	2	1	no	—
668	C₄×C₆₇	—	2	4	no	—
669	C₄×C₆₇	—	2	1	no	—
670	C₄×C₆₇	—	2	1	no	—
671	C₄×C₆₇	—	4	1	no	—
672	C₄×C₆₇	—	4	1	no	—
673	C₄×C₆₇	—	4	1	no	—
674	C₄×C₆₇	—	4	2	no	—
675	C₄×C₆₇	—	4	1	no	—
676	C₄×C₆₇	—	4	1	no	—
677	C₄×C₆₇	—	4	2	no	—
678	C₄×C₆₇	—	4	1	no	—
679	C₄×C₆₇	—	4	1	no	—
680	C₄×C₆₇	#546	1	2	yes	—
681	C₄×C₆₇	C₂²×#41	1	1	yes	characteristic
682	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
683	#61158	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
684	C₂×C₆₇	—	2	2	no	—
685	C₂×C₆₇	—	2	2	no	—
686	C₂×C₆₇	—	4	1	no	—
687	C₂×C₆₇	—	4	1	no	—
688	C₂×C₆₇	—	4	1	no	—
689	C₂×C₆₇	—	8	1	no	—
690	C₂×C₆₇	—	8	2	no	—
691	C₂×C₆₇	C₂×#546	1	1	yes	characteristic
692	C₂×C₆₇	C₂×#575	1	1	yes	characteristic
693	C₂×C₆₇	#3586	1	1	yes	characteristic
694	#3475	C₂×C₆₇	1	1	yes	characteristic, complemented
695	C₂×#548	C₂×C₆₇	1	1	yes	characteristic, complemented
696	#3327	C₂×C₆₇	1	2	yes	complemented
697	#3326	C₂×C₆₇	1	2	yes	complemented
698	#3321	C₂×C₆₇	1	2	yes	complemented
699	#3316	C₂×C₆₇	1	2	yes	complemented
700	#3313	C₂×C₆₇	1	2	yes	complemented
701	#3308	C₂×C₆₇	1	2	yes	complemented
702	#3301	C₂×C₆₇	1	2	yes	complemented
703	#3300	C₂×C₆₇	1	2	yes	complemented
704	#3140	C₂×C₆₇	1	1	yes	characteristic, complemented
705	#3095	C₂×C₆₇	1	1	yes	characteristic, complemented
706	#3094	C₂×C₆₇	1	1	yes	characteristic, complemented
707	#3078	C₂×C₆₇	1	1	yes	characteristic, complemented
708	#3056	C₂×C₆₇	1	1	yes	characteristic, complemented
709	#3055	C₂×C₆₇	1	1	yes	characteristic, complemented
710	#3040	C₂×C₆₇	1	1	yes	characteristic, complemented
711	#3005	C₂×C₆₇	1	1	yes	characteristic, complemented
712	#3004	C₂×C₆₇	1	1	yes	characteristic, complemented
713	C₄×#137	C₂×C₆₇	1	1	yes	characteristic, complemented
714	D₄×M₁₆	C₂×C₆₇	1	1	yes	characteristic, complemented
715	#2896	C₂×C₆₇	1	1	yes	characteristic, complemented
716	C₂×#419	C₂×C₆₇	1	1	yes	characteristic, complemented
717	C₆₇	#61158	1	1	yes	characteristic, direct product factor, Sylow
718	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic
719	C₂³×Q₈	C₂²×C₆₇	1	1	yes	characteristic
720	C₂×#137	C₂²×C₆₇	1	1	yes	characteristic
721	C₂×#137	C₂²×C₆₇	1	1	yes	characteristic
722	C₂×AGL(1,ℤ/8)	C₂²×C₆₇	1	1	yes	characteristic
723	C₂²×M₁₆	C₂²×C₆₇	1	1	yes	characteristic
724	C₂²×M₁₆	C₂²×C₆₇	1	1	yes	characteristic
725	#556	C₂²×C₆₇	1	1	yes	characteristic, complemented
726	#555	C₂²×C₆₇	1	1	yes	characteristic, complemented
727	#554	C₂²×C₆₇	1	1	yes	characteristic, complemented
728	#553	C₂²×C₆₇	1	1	yes	characteristic, complemented
729	#553	C₂²×C₆₇	1	1	yes	characteristic, complemented
730	#552	—	2	1	no	—
731	#552	C₂²×C₆₇	1	1	yes	characteristic, complemented
732	#552	C₂²×C₆₇	1	1	yes	characteristic, complemented
733	#551	—	2	1	no	—
734	#551	—	2	1	no	—
735	#548	—	2	1	no	—
736	#548	—	2	1	no	—
737	#548	—	2	1	no	—
738	#548	—	2	1	no	—
739	#548	C₂²×C₆₇	1	2	yes	—
740	#548	C₂²×C₆₇	1	2	yes	—
741	#548	C₂²×C₆₇	1	2	yes	—
742	#548	C₂²×C₆₇	1	2	yes	—
743	#547	C₂²×C₆₇	1	1	yes	characteristic, complemented
744	#546	—	2	1	no	—
745	#533	C₂²×C₆₇	1	1	yes	characteristic
746	#529	—	2	1	no	—
747	#529	—	2	1	no	—
748	#529	—	2	1	no	—
749	C₂×#124	—	2	1	no	—
750	C₂×#124	C₂²×C₆₇	1	1	yes	characteristic
751	#525	C₂²×C₆₇	1	1	yes	characteristic
752	#525	C₂²×C₆₇	1	1	yes	characteristic
753	C₂×C₂²⋊Q₈	—	2	1	no	—
754	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
755	C₂×#121	—	2	1	no	—
756	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
757	C₄×#41	—	2	1	no	—
758	C₄×#41	C₂²×C₆₇	1	1	yes	characteristic
759	C₂×C₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic
760	C₂×C₄×D₄	—	2	1	no	—
761	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
762	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
763	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
764	#489	C₂²×C₆₇	1	2	yes	complemented
765	#489	C₂²×C₆₇	1	2	yes	complemented
766	#488	C₂²×C₆₇	1	2	yes	complemented
767	#488	C₂²×C₆₇	1	2	yes	complemented
768	#485	C₂²×C₆₇	1	2	yes	complemented
769	#485	C₂²×C₆₇	1	2	yes	complemented
770	#484	C₂²×C₆₇	1	2	yes	complemented
771	#483	C₂²×C₆₇	1	2	yes	complemented
772	#482	C₂²×C₆₇	1	2	yes	complemented
773	#482	C₂²×C₆₇	1	2	yes	complemented
774	#481	C₂²×C₆₇	1	2	yes	complemented
775	#480	C₂²×C₆₇	1	2	yes	complemented
776	#479	C₂²×C₆₇	1	2	yes	complemented
777	#479	C₂²×C₆₇	1	2	yes	complemented
778	#477	C₂²×C₆₇	1	2	yes	complemented
779	#475	C₂²×C₆₇	1	2	yes	complemented
780	#470	C₂²×C₆₇	1	2	yes	complemented
781	#469	C₂²×C₆₇	1	2	yes	complemented
782	#468	C₂²×C₆₇	1	2	yes	complemented
783	#468	C₂²×C₆₇	1	2	yes	complemented
784	#467	C₂²×C₆₇	1	2	yes	complemented
785	#466	C₂²×C₆₇	1	2	yes	complemented
786	#465	C₂²×C₆₇	1	2	yes	complemented
787	#465	C₂²×C₆₇	1	2	yes	complemented
788	#464	C₂²×C₆₇	1	2	yes	complemented
789	#464	C₂²×C₆₇	1	2	yes	complemented
790	#463	C₂²×C₆₇	1	2	yes	complemented
791	#463	C₂²×C₆₇	1	2	yes	complemented
792	#452	C₂²×C₆₇	1	2	yes	complemented
793	#452	C₂²×C₆₇	1	2	yes	complemented
794	#451	C₂²×C₆₇	1	2	yes	complemented
795	#451	C₂²×C₆₇	1	2	yes	complemented
796	#449	C₂²×C₆₇	1	2	yes	complemented
797	#449	C₂²×C₆₇	1	2	yes	complemented
798	#448	C₂²×C₆₇	1	2	yes	complemented
799	#448	C₂²×C₆₇	1	2	yes	complemented
800	#441	C₂²×C₆₇	1	2	yes	complemented
801	#440	C₂²×C₆₇	1	2	yes	complemented
802	C₄×Q₁₆	C₂²×C₆₇	1	2	yes	complemented
803	C₄×SD₁₆	C₂²×C₆₇	1	2	yes	complemented
804	#436	C₂²×C₆₇	1	2	yes	complemented
805	#435	C₂²×C₆₇	1	2	yes	complemented
806	#435	C₂²×C₆₇	1	2	yes	complemented
807	C₈×D₄	C₂²×C₆₇	1	2	yes	complemented
808	#428	C₂²×C₆₇	1	1	yes	characteristic
809	#428	C₂²×C₆₇	1	1	yes	characteristic
810	#428	C₂²×C₆₇	1	1	yes	characteristic
811	#423	C₂²×C₆₇	1	1	yes	characteristic
812	#419	C₂²×C₆₇	1	1	yes	characteristic
813	#419	C₂²×C₆₇	1	1	yes	characteristic
814	#419	C₂²×C₆₇	1	1	yes	characteristic
815	#419	C₂²×C₆₇	1	1	yes	characteristic
816	#419	C₂²×C₆₇	1	1	yes	characteristic
817	#419	C₂²×C₆₇	1	1	yes	characteristic
818	#419	C₂²×C₆₇	1	2	yes	complemented
819	#419	C₂²×C₆₇	1	2	yes	complemented
820	#418	C₂²×C₆₇	1	1	yes	characteristic
821	#418	C₂²×C₆₇	1	1	yes	characteristic
822	#418	C₂²×C₆₇	1	1	yes	characteristic
823	#417	C₂²×C₆₇	1	1	yes	characteristic
824	#417	C₂²×C₆₇	1	2	yes	complemented
825	#417	C₂²×C₆₇	1	2	yes	complemented
826	#416	C₂²×C₆₇	1	2	yes	complemented
827	#416	C₂²×C₆₇	1	2	yes	complemented
828	C₂×#103	C₂²×C₆₇	1	2	yes	complemented
829	C₂×#103	C₂²×C₆₇	1	2	yes	complemented
830	#407	C₂²×C₆₇	1	1	yes	characteristic
831	#407	C₂²×C₆₇	1	1	yes	characteristic
832	C₄×M₁₆	C₂²×C₆₇	1	1	yes	characteristic
833	C₂×#41	—	2	1	no	—
834	C₂×#41	—	2	1	no	—
835	C₂×#41	—	2	1	no	—
836	C₂×#41	—	2	4	no	—
837	C₂×#41	—	4	2	no	—
838	C₂×#41	C₂³×C₆₇	1	1	yes	characteristic
839	C₂×#41	C₂³×C₆₇	1	2	yes	—
840	C₂×#41	C₂³×C₆₇	1	2	yes	—
841	C₂²×Q₈	—	2	1	no	—
842	C₂²×Q₈	—	2	1	no	—
843	C₂²×Q₈	—	2	1	no	—
844	C₂²×Q₈	—	2	4	no	—
845	C₂²×Q₈	—	4	2	no	—
846	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
847	C₂²×Q₈	C₂³×C₆₇	1	2	yes	—
848	C₂²×Q₈	C₂³×C₆₇	1	2	yes	—
849	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
850	C₂²×D₄	—	2	1	no	—
851	C₂²×D₄	—	2	1	no	—
852	C₂²×D₄	D₄×C₆₇	1	1	yes	characteristic
853	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
854	C₂³×C₄	—	2	1	no	—
855	C₂³×C₄	—	2	1	no	—
856	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
857	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
858	#137	—	2	4	no	—
859	#137	—	4	2	no	—
860	AGL(1,ℤ/8)	—	4	2	no	—
861	C₂×Q₁₆	C₂³×C₆₇	1	2	yes	—
862	C₂×Q₁₆	C₂³×C₆₇	1	2	yes	—
863	C₂×SD₁₆	C₂³×C₆₇	1	2	yes	—
864	C₂×SD₁₆	C₂³×C₆₇	1	2	yes	—
865	C₂×SD₁₆	C₂³×C₆₇	1	2	yes	—
866	C₂×D₈	C₂³×C₆₇	1	2	yes	—
867	C₂×M₁₆	—	4	2	no	—
868	C₂×M₁₆	—	4	2	no	—
869	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
870	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
871	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
872	C₂×M₁₆	C₂³×C₆₇	1	1	yes	characteristic
873	C₂×M₁₆	C₂³×C₆₇	1	2	yes	—
874	C₂×M₁₆	C₂³×C₆₇	1	2	yes	—
875	C₂²×C₈	C₂³×C₆₇	1	2	yes	—
876	C₂²×C₈	C₂³×C₆₇	1	2	yes	—
877	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
878	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
879	#126	—	2	1	no	—
880	#126	—	2	1	no	—
881	#126	—	2	1	no	—
882	#126	—	2	1	no	—
883	#126	—	2	1	no	—
884	#126	—	2	1	no	—
885	#125	—	2	1	no	—
886	#125	—	2	1	no	—
887	#125	—	2	1	no	—
888	#125	C₂³×C₆₇	1	1	yes	characteristic
889	#125	C₂³×C₆₇	1	1	yes	characteristic
890	#124	—	2	1	no	—
891	#124	—	2	2	no	—
892	#124	—	2	2	no	—
893	#124	—	2	2	no	—
894	#124	—	2	2	no	—
895	#124	—	2	1	no	—
896	#124	—	2	1	no	—
897	#124	—	2	1	no	—
898	#124	—	2	1	no	—
899	#124	C₂³×C₆₇	1	2	yes	—
900	#124	C₂³×C₆₇	1	2	yes	—
901	#123	—	2	1	no	—
902	#123	—	2	1	no	—
903	#123	—	2	1	no	—
904	#123	—	2	1	no	—
905	#123	—	2	1	no	—
906	#123	—	2	1	no	—
907	#123	—	2	1	no	—
908	#123	—	2	1	no	—
909	C₂²⋊Q₈	—	2	1	no	—
910	C₂²⋊Q₈	—	2	1	no	—
911	C₂²⋊Q₈	—	2	1	no	—
912	C₂²⋊Q₈	—	2	1	no	—
913	C₂²⋊Q₈	—	2	2	no	—
914	C₂²⋊Q₈	—	2	2	no	—
915	C₂²⋊Q₈	—	2	2	no	—
916	C₂²⋊Q₈	—	2	2	no	—
917	C₂²⋊Q₈	—	2	1	no	—
918	C₂²⋊Q₈	—	2	1	no	—
919	C₂²⋊Q₈	—	2	1	no	—
920	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
921	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
922	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
923	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
924	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
925	C₂²⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
926	#121	—	2	2	no	—
927	#121	—	2	2	no	—
928	#121	—	2	2	no	—
929	#121	—	2	2	no	—
930	#121	—	2	1	no	—
931	#121	—	2	1	no	—
932	#121	—	2	1	no	—
933	#121	—	2	1	no	—
934	#121	—	2	1	no	—
935	#121	C₂³×C₆₇	1	2	yes	—
936	#121	C₂³×C₆₇	1	2	yes	—
937	#121	C₂³×C₆₇	1	1	yes	characteristic
938	#121	C₂³×C₆₇	1	1	yes	characteristic
939	#121	C₂³×C₆₇	1	1	yes	characteristic
940	#121	C₂³×C₆₇	1	1	yes	characteristic
941	#120	—	2	1	no	—
942	#120	—	2	1	no	—
943	C₄×Q₈	—	2	1	no	—
944	C₄×Q₈	—	2	1	no	—
945	C₄×Q₈	—	2	1	no	—
946	C₄×Q₈	—	2	1	no	—
947	C₄×Q₈	—	2	1	no	—
948	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
949	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
950	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
951	C₄×Q₈	C₂³×C₆₇	1	1	yes	characteristic
952	C₄×D₄	—	2	1	no	—
953	C₄×D₄	—	2	1	no	—
954	C₄×D₄	—	2	1	no	—
955	C₄×D₄	—	2	1	no	—
956	C₄×D₄	—	2	1	no	—
957	C₄×D₄	—	2	1	no	—
958	C₄×D₄	—	2	1	no	—
959	C₄×D₄	—	2	2	no	—
960	C₄×D₄	—	2	2	no	—
961	C₄×D₄	—	2	2	no	—
962	C₄×D₄	—	2	2	no	—
963	C₄×D₄	—	2	1	no	—
964	C₄×D₄	—	2	1	no	—
965	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
966	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
967	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
968	C₄×D₄	D₄×C₆₇	1	1	yes	characteristic
969	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
970	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
971	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
972	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
973	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
974	C₄×D₄	C₂³×C₆₇	1	1	yes	characteristic
975	#117	—	2	1	no	—
976	#117	—	2	1	no	—
977	#117	—	2	1	no	—
978	#117	—	2	1	no	—
979	#117	—	2	1	no	—
980	#117	—	2	1	no	—
981	#117	—	2	1	no	—
982	#117	—	2	1	no	—
983	#117	C₂³×C₆₇	1	1	yes	characteristic
984	#117	C₂³×C₆₇	1	1	yes	characteristic
985	#117	C₂³×C₆₇	1	1	yes	characteristic
986	#117	C₂³×C₆₇	1	1	yes	characteristic
987	#117	C₂³×C₆₇	1	1	yes	characteristic
988	#117	C₂³×C₆₇	1	1	yes	characteristic
989	#117	C₂³×C₆₇	1	1	yes	characteristic
990	C₂×C₄⋊C₄	—	2	1	no	—
991	C₂×C₄⋊C₄	—	2	1	no	—
992	C₂×C₄⋊C₄	D₄×C₆₇	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	—	2	1	no	—
999	C₂×C₂²⋊C₄	—	2	1	no	—
1000	C₂×C₂²⋊C₄	—	2	1	no	—
1001	C₂×C₂²⋊C₄	—	2	1	no	—
1002	C₂×C₂²⋊C₄	—	2	1	no	—
1003	C₂×C₂²⋊C₄	—	2	1	no	—
1004	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
1006	C₂×C₄²	—	2	1	no	—
1007	C₂×C₄²	—	2	1	no	—
1008	C₂×C₄²	—	2	1	no	—
1009	C₂×C₄²	—	2	1	no	—
1010	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1011	#107	C₂³×C₆₇	1	2	yes	—
1012	#107	C₂³×C₆₇	1	2	yes	—
1013	#107	C₂³×C₆₇	1	2	yes	—
1014	#106	C₂³×C₆₇	1	2	yes	—
1015	#106	C₂³×C₆₇	1	2	yes	—
1016	#106	C₂³×C₆₇	1	2	yes	—
1017	C₄⋊C₈	C₂³×C₆₇	1	2	yes	—
1018	C₄⋊C₈	C₂³×C₆₇	1	2	yes	—
1019	#103	C₂³×C₆₇	1	2	yes	—
1020	#103	C₂³×C₆₇	1	2	yes	—
1021	#103	C₂³×C₆₇	1	2	yes	—
1022	#103	C₂³×C₆₇	1	2	yes	—
1023	#103	C₂³×C₆₇	1	2	yes	—
1024	#103	C₂³×C₆₇	1	2	yes	—
1025	#103	C₂³×C₆₇	1	2	yes	—
1026	#103	C₂³×C₆₇	1	2	yes	—
1027	#103	C₂³×C₆₇	1	2	yes	—
1028	#103	C₂³×C₆₇	1	2	yes	—
1029	#103	C₂³×C₆₇	1	2	yes	—
1030	#103	C₂³×C₆₇	1	2	yes	—
1031	#103	C₂³×C₆₇	1	2	yes	—
1032	#102	C₂³×C₆₇	1	2	yes	—
1033	#102	C₂³×C₆₇	1	2	yes	—
1034	#102	C₂³×C₆₇	1	2	yes	—
1035	#102	C₂³×C₆₇	1	2	yes	—
1036	#102	C₂³×C₆₇	1	2	yes	—
1037	#102	C₂³×C₆₇	1	2	yes	—
1038	#102	C₂³×C₆₇	1	2	yes	—
1039	C₂²⋊C₈	C₂³×C₆₇	1	2	yes	—
1040	C₂²⋊C₈	C₂³×C₆₇	1	2	yes	—
1041	C₂²⋊C₈	C₂³×C₆₇	1	2	yes	—
1042	C₂²⋊C₈	C₂³×C₆₇	1	2	yes	—
1043	#97	C₂³×C₆₇	1	2	yes	—
1044	C₄×C₈	C₂³×C₆₇	1	2	yes	—
1045	C₂⁴	—	2	1	no	—
1046	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
1047	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
1048	#41	—	2	4	no	—
1049	#41	—	2	4	no	—
1050	#41	—	2	2	no	—
1051	#41	—	2	2	no	—
1052	#41	—	4	2	no	—
1053	#41	—	4	2	no	—
1054	#41	—	4	4	no	—
1055	#41	—	4	4	no	—
1056	#41	—	4	4	no	—
1057	C₂×Q₈	—	2	1	no	—
1058	C₂×Q₈	—	2	1	no	—
1059	C₂×Q₈	—	2	2	no	—
1060	C₂×Q₈	—	2	2	no	—
1061	C₂×Q₈	—	2	1	no	—
1062	C₂×Q₈	—	2	1	no	—
1063	C₂×Q₈	—	2	2	no	—
1064	C₂×Q₈	—	2	4	no	—
1065	C₂×Q₈	—	2	4	no	—
1066	C₂×Q₈	—	2	2	no	—
1067	C₂×Q₈	—	2	2	no	—
1068	C₂×Q₈	—	4	4	no	—
1069	C₂×Q₈	—	4	2	no	—
1070	C₂×Q₈	—	4	2	no	—
1071	C₂×Q₈	—	4	4	no	—
1072	C₂×Q₈	—	4	4	no	—
1073	C₂×Q₈	#41×C₆₇	1	4	yes	complemented
1074	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1075	C₂×Q₈	C₂⁴×C₆₇	1	1	yes	characteristic
1076	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1077	C₂×D₄	—	2	1	no	—
1078	C₂×D₄	—	2	1	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	2	no	—
1081	C₂×D₄	—	2	2	no	—
1082	C₂×D₄	—	2	2	no	—
1083	C₂×D₄	—	2	2	no	—
1084	C₂×D₄	—	2	1	no	—
1085	C₂×D₄	—	2	1	no	—
1086	C₂×D₄	—	2	1	no	—
1087	C₂×D₄	—	2	2	no	—
1088	C₂×D₄	—	2	2	no	—
1089	C₂×D₄	—	4	4	no	—
1090	C₂×D₄	—	4	2	no	—
1091	C₂×D₄	—	4	4	no	—
1092	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1093	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1094	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1095	C₂×D₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1096	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1097	C₂×D₄	C₂⁴×C₆₇	1	1	yes	characteristic
1098	C₂²×C₄	—	2	1	no	—
1099	C₂²×C₄	—	2	2	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	2	1	no	—
1104	C₂²×C₄	—	2	1	no	—
1105	C₂²×C₄	—	2	1	no	—
1106	C₂²×C₄	—	2	1	no	—
1107	C₂²×C₄	—	2	2	no	—
1108	C₂²×C₄	—	2	2	no	—
1109	C₂²×C₄	—	2	1	no	—
1110	C₂²×C₄	—	2	1	no	—
1111	C₂²×C₄	—	2	1	no	—
1112	C₂²×C₄	—	2	1	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	1	no	—
1116	C₂²×C₄	—	4	4	no	—
1117	C₂²×C₄	—	4	4	no	—
1118	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1119	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1120	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1121	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1122	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1123	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1124	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1125	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1126	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1131	Q₁₆	—	2	4	no	—
1132	Q₁₆	—	4	2	no	—
1133	SD₁₆	—	2	4	no	—
1134	SD₁₆	—	4	2	no	—
1135	SD₁₆	—	4	2	no	—
1136	D₈	—	4	2	no	—
1137	M₁₆	—	2	2	no	—
1138	M₁₆	—	2	2	no	—
1139	M₁₆	—	2	2	no	—
1140	M₁₆	—	2	2	no	—
1141	M₁₆	—	4	2	no	—
1142	M₁₆	—	4	2	no	—
1143	C₂×C₈	—	4	2	no	—
1144	C₂×C₈	—	4	2	no	—
1145	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
1146	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
1147	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
1148	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	2	2	no	—
1152	C₄⋊C₄	—	2	2	no	—
1153	C₄⋊C₄	—	2	1	no	—
1154	C₄⋊C₄	—	2	1	no	—
1155	C₄⋊C₄	—	2	1	no	—
1156	C₄⋊C₄	—	2	1	no	—
1157	C₄⋊C₄	—	2	1	no	—
1158	C₄⋊C₄	—	2	1	no	—
1159	C₄⋊C₄	—	2	1	no	—
1160	C₄⋊C₄	—	2	1	no	—
1161	C₄⋊C₄	—	2	1	no	—
1162	C₄⋊C₄	—	2	1	no	—
1163	C₄⋊C₄	—	2	1	no	—
1164	C₄⋊C₄	—	2	1	no	—
1165	C₄⋊C₄	—	2	1	no	—
1166	C₄⋊C₄	—	2	1	no	—
1167	C₄⋊C₄	—	2	1	no	—
1168	C₄⋊C₄	—	2	1	no	—
1169	C₄⋊C₄	—	2	1	no	—
1170	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1171	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1172	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1173	C₄⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1174	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1175	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1176	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1177	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1178	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1179	C₄⋊C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1180	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1181	C₂²⋊C₄	—	2	1	no	—
1182	C₂²⋊C₄	—	2	1	no	—
1183	C₂²⋊C₄	—	2	1	no	—
1184	C₂²⋊C₄	—	2	1	no	—
1185	C₂²⋊C₄	—	2	1	no	—
1186	C₂²⋊C₄	—	2	1	no	—
1187	C₂²⋊C₄	—	2	1	no	—
1188	C₂²⋊C₄	—	2	2	no	—
1189	C₂²⋊C₄	—	2	2	no	—
1190	C₂²⋊C₄	—	2	1	no	—
1191	C₂²⋊C₄	—	2	1	no	—
1192	C₂²⋊C₄	—	2	1	no	—
1193	C₂²⋊C₄	—	2	1	no	—
1194	C₂²⋊C₄	—	2	2	no	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	2	2	no	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	—	2	2	no	—
1199	C₂²⋊C₄	—	2	2	no	—
1200	C₂²⋊C₄	—	2	1	no	—
1201	C₂²⋊C₄	—	2	1	no	—
1202	C₂²⋊C₄	—	2	1	no	—
1203	C₂²⋊C₄	—	2	1	no	—
1204	C₂²⋊C₄	—	2	1	no	—
1205	C₂²⋊C₄	—	2	1	no	—
1206	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1207	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1208	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1209	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1210	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1211	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1212	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1213	C₂²⋊C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
1214	C₄²	—	2	1	no	—
1215	C₄²	—	2	1	no	—
1216	C₄²	—	2	1	no	—
1217	C₄²	—	2	1	no	—
1218	C₄²	—	2	1	no	—
1219	C₄²	—	2	1	no	—
1220	C₄²	—	2	1	no	—
1221	C₄²	—	2	1	no	—
1222	C₄²	—	2	2	no	—
1223	C₄²	—	2	2	no	—
1224	C₄²	—	2	1	no	—
1225	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1226	C₄²	C₂×D₄×C₆₇	1	1	yes	characteristic
1227	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1228	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1229	C₂³	—	2	2	no	—
1230	C₂³	—	2	2	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	2	2	no	—
1234	C₂³	—	4	1	no	—
1235	C₂³	—	4	1	no	—
1236	C₂³	—	4	1	no	—
1237	C₂³	—	4	2	no	—
1238	C₂³	—	4	2	no	—
1239	C₂³	—	4	2	no	—
1240	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1241	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1242	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1243	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1244	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
1245	Q₈	—	2	4	no	—
1246	Q₈	—	2	2	no	—
1247	Q₈	—	2	1	no	—
1248	Q₈	—	2	2	no	—
1249	Q₈	—	2	1	no	—
1250	Q₈	—	2	2	no	—
1251	Q₈	—	4	4	no	—
1252	Q₈	—	4	4	no	—
1253	Q₈	—	4	2	no	—
1254	Q₈	—	4	2	no	—
1255	Q₈	—	8	1	no	—
1256	Q₈	C₂×#41×C₆₇	1	4	yes	—
1257	D₄	—	2	2	no	—
1258	D₄	—	2	2	no	—
1259	D₄	—	2	1	no	—
1260	D₄	—	2	2	no	—
1261	D₄	—	2	1	no	—
1262	D₄	—	2	2	no	—
1263	D₄	—	4	1	no	—
1264	D₄	—	4	1	no	—
1265	D₄	—	4	4	no	—
1266	D₄	—	4	4	no	—
1267	D₄	—	4	4	no	—
1268	D₄	—	4	2	no	—
1269	D₄	—	4	2	no	—
1270	D₄	—	4	4	no	—
1271	D₄	—	4	2	no	—
1272	D₄	—	4	2	no	—
1273	D₄	—	8	1	no	—
1274	D₄	—	8	1	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	2	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	2	no	—
1281	C₂×C₄	—	2	2	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	4	1	no	—
1301	C₂×C₄	—	4	1	no	—
1302	C₂×C₄	—	4	4	no	—
1303	C₂×C₄	—	4	4	no	—
1304	C₂×C₄	—	4	4	no	—
1305	C₂×C₄	—	4	4	no	—
1306	C₂×C₄	—	4	2	no	—
1307	C₂×C₄	—	4	2	no	—
1308	C₂×C₄	—	4	2	no	—
1309	C₂×C₄	—	4	2	no	—
1310	C₂×C₄	—	4	2	no	—
1311	C₂×C₄	—	4	2	no	—
1312	C₂×C₄	—	8	1	no	—
1313	C₂×C₄	—	8	1	no	—
1314	C₂×C₄	—	8	1	no	—
1315	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1316	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1317	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1318	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1319	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1320	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1321	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1322	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1323	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
1324	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
1325	C₂×C₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
1326	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1327	C₈	—	2	2	no	—
1328	C₈	—	2	2	no	—
1329	C₈	—	2	2	no	—
1330	C₈	—	2	2	no	—
1331	C₂²	—	2	1	no	—
1332	C₂²	—	2	1	no	—
1333	C₂²	—	2	1	no	—
1334	C₂²	—	2	1	no	—
1335	C₂²	—	2	1	no	—
1336	C₂²	—	2	1	no	—
1337	C₂²	—	2	1	no	—
1338	C₂²	—	2	1	no	—
1339	C₂²	—	2	1	no	—
1340	C₂²	—	2	1	no	—
1341	C₂²	—	2	1	no	—
1342	C₂²	—	2	1	no	—
1343	C₂²	—	2	1	no	—
1344	C₂²	—	4	4	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	2	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	2	no	—
1349	C₂²	—	4	2	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	8	2	no	—
1352	C₂²	—	8	4	no	—
1353	C₂²	#546×C₆₇	1	2	yes	—
1354	C₂²	#575×C₆₇	1	2	yes	—
1355	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
1356	C₄	—	2	1	no	—
1357	C₄	—	2	1	no	—
1358	C₄	—	2	1	no	—
1359	C₄	—	2	1	no	—
1360	C₄	—	2	1	no	—
1361	C₄	—	2	1	no	—
1362	C₄	—	2	1	no	—
1363	C₄	—	2	1	no	—
1364	C₄	—	2	4	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	2	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	4	2	no	—
1373	C₄	—	4	1	no	—
1374	C₄	#546×C₆₇	1	2	yes	—
1375	C₄	C₂²×#41×C₆₇	1	1	yes	characteristic
1376	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
1377	C₂	—	2	2	no	—
1378	C₂	—	2	2	no	—
1379	C₂	—	4	1	no	—
1380	C₂	—	4	1	no	—
1381	C₂	—	4	1	no	—
1382	C₂	—	8	2	no	—
1383	C₂	—	8	1	no	—
1384	C₂	C₂×#546×C₆₇	1	1	yes	characteristic
1385	C₂	C₂×#575×C₆₇	1	1	yes	characteristic
1386	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 ◁ C₂×C₄×D₄×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#3475	C₂	semidirect
2. C₂×#548×C₆₇	C₂	semidirect
3. C₆₇×#3327	C₂	semidirect
4. C₆₇×#3326	C₂	semidirect
5. C₆₇×#3321	C₂	semidirect
6. C₆₇×#3316	C₂	semidirect
7. C₆₇×#3313	C₂	semidirect
8. C₆₇×#3308	C₂	semidirect
9. C₆₇×#3301	C₂	semidirect
10. C₆₇×#3300	C₂	semidirect
11. C₆₇×#3140	C₂	semidirect
12. C₆₇×#3095	C₂	semidirect
13. C₆₇×#3094	C₂	semidirect
14. C₆₇×#3078	C₂	semidirect
15. C₆₇×#3056	C₂	semidirect
16. C₆₇×#3055	C₂	semidirect
17. C₆₇×#3040	C₂	semidirect
18. C₆₇×#3005	C₂	semidirect
19. C₆₇×#3004	C₂	semidirect
20. C₄×#137×C₆₇	C₂	semidirect
21. D₄×M₁₆×C₆₇	C₂	semidirect
22. C₆₇×#2896	C₂	semidirect
23. C₂×#419×C₆₇	C₂	semidirect
31. #556×C₆₇	C₂²	semidirect
32. #555×C₆₇	C₂²	semidirect
33. #554×C₆₇	C₂²	semidirect
34. #553×C₆₇	C₂²	semidirect
35. #553×C₆₇	C₂²	semidirect
37. #552×C₆₇	C₂²	semidirect
38. #552×C₆₇	C₂²	semidirect
49. #547×C₆₇	C₂²	semidirect
70. #489×C₆₇	C₂²	semidirect
71. #489×C₆₇	C₂²	semidirect
72. #488×C₆₇	C₂²	semidirect
73. #488×C₆₇	C₂²	semidirect
74. #485×C₆₇	C₂²	semidirect
75. #485×C₆₇	C₂²	semidirect
76. #484×C₆₇	C₂²	semidirect
77. #483×C₆₇	C₂²	semidirect
78. #482×C₆₇	C₂²	semidirect
79. #482×C₆₇	C₂²	semidirect
80. #481×C₆₇	C₂²	semidirect
81. #480×C₆₇	C₂²	semidirect
82. #479×C₆₇	C₂²	semidirect
83. #479×C₆₇	C₂²	semidirect
84. #477×C₆₇	C₂²	semidirect
85. #475×C₆₇	C₂²	semidirect
86. #470×C₆₇	C₂²	semidirect
87. #469×C₆₇	C₂²	semidirect
88. #468×C₆₇	C₂²	semidirect
89. #468×C₆₇	C₂²	semidirect
90. #467×C₆₇	C₂²	semidirect
91. #466×C₆₇	C₂²	semidirect
92. #465×C₆₇	C₂²	semidirect
93. #465×C₆₇	C₂²	semidirect
94. #464×C₆₇	C₂²	semidirect
95. #464×C₆₇	C₂²	semidirect
96. #463×C₆₇	C₂²	semidirect
97. #463×C₆₇	C₂²	semidirect
98. #452×C₆₇	C₂²	semidirect
99. #452×C₆₇	C₂²	semidirect
100. #451×C₆₇	C₂²	semidirect
101. #451×C₆₇	C₂²	semidirect
102. #449×C₆₇	C₂²	semidirect
103. #449×C₆₇	C₂²	semidirect
104. #448×C₆₇	C₂²	semidirect
105. #448×C₆₇	C₂²	semidirect
106. #441×C₆₇	C₂²	semidirect
107. #440×C₆₇	C₂²	semidirect
108. C₄×Q₁₆×C₆₇	C₂²	semidirect
109. C₄×SD₁₆×C₆₇	C₂²	semidirect
110. #436×C₆₇	C₂²	semidirect
111. #435×C₆₇	C₂²	semidirect
112. #435×C₆₇	C₂²	semidirect
113. C₈×D₄×C₆₇	C₂²	semidirect
124. #419×C₆₇	C₂²	semidirect
125. #419×C₆₇	C₂²	semidirect
130. #417×C₆₇	C₂²	semidirect
131. #417×C₆₇	C₂²	semidirect
132. #416×C₆₇	C₂²	semidirect
133. #416×C₆₇	C₂²	semidirect
134. C₂×#103×C₆₇	C₂²	semidirect
135. C₂×#103×C₆₇	C₂²	semidirect
379. C₂×Q₈×C₆₇	#41	semidirect
683. #61158	C₆₇	direct (N × H)
694. #3475	C₂×C₆₇	semidirect
695. C₂×#548	C₂×C₆₇	semidirect
696. #3327	C₂×C₆₇	semidirect
697. #3326	C₂×C₆₇	semidirect
698. #3321	C₂×C₆₇	semidirect
699. #3316	C₂×C₆₇	semidirect
700. #3313	C₂×C₆₇	semidirect
701. #3308	C₂×C₆₇	semidirect
702. #3301	C₂×C₆₇	semidirect
703. #3300	C₂×C₆₇	semidirect
704. #3140	C₂×C₆₇	semidirect
705. #3095	C₂×C₆₇	semidirect
706. #3094	C₂×C₆₇	semidirect
707. #3078	C₂×C₆₇	semidirect
708. #3056	C₂×C₆₇	semidirect
709. #3055	C₂×C₆₇	semidirect
710. #3040	C₂×C₆₇	semidirect
711. #3005	C₂×C₆₇	semidirect
712. #3004	C₂×C₆₇	semidirect
713. C₄×#137	C₂×C₆₇	semidirect
714. D₄×M₁₆	C₂×C₆₇	semidirect
715. #2896	C₂×C₆₇	semidirect
716. C₂×#419	C₂×C₆₇	semidirect
717. C₆₇	#61158	direct (N × H)
725. #556	C₂²×C₆₇	semidirect
726. #555	C₂²×C₆₇	semidirect
727. #554	C₂²×C₆₇	semidirect
728. #553	C₂²×C₆₇	semidirect
729. #553	C₂²×C₆₇	semidirect
731. #552	C₂²×C₆₇	semidirect
732. #552	C₂²×C₆₇	semidirect
743. #547	C₂²×C₆₇	semidirect
764. #489	C₂²×C₆₇	semidirect
765. #489	C₂²×C₆₇	semidirect
766. #488	C₂²×C₆₇	semidirect
767. #488	C₂²×C₆₇	semidirect
768. #485	C₂²×C₆₇	semidirect
769. #485	C₂²×C₆₇	semidirect
770. #484	C₂²×C₆₇	semidirect
771. #483	C₂²×C₆₇	semidirect
772. #482	C₂²×C₆₇	semidirect
773. #482	C₂²×C₆₇	semidirect
774. #481	C₂²×C₆₇	semidirect
775. #480	C₂²×C₆₇	semidirect
776. #479	C₂²×C₆₇	semidirect
777. #479	C₂²×C₆₇	semidirect
778. #477	C₂²×C₆₇	semidirect
779. #475	C₂²×C₆₇	semidirect
780. #470	C₂²×C₆₇	semidirect
781. #469	C₂²×C₆₇	semidirect
782. #468	C₂²×C₆₇	semidirect
783. #468	C₂²×C₆₇	semidirect
784. #467	C₂²×C₆₇	semidirect
785. #466	C₂²×C₆₇	semidirect
786. #465	C₂²×C₆₇	semidirect
787. #465	C₂²×C₆₇	semidirect
788. #464	C₂²×C₆₇	semidirect
789. #464	C₂²×C₆₇	semidirect
790. #463	C₂²×C₆₇	semidirect
791. #463	C₂²×C₆₇	semidirect
792. #452	C₂²×C₆₇	semidirect
793. #452	C₂²×C₆₇	semidirect
794. #451	C₂²×C₆₇	semidirect
795. #451	C₂²×C₆₇	semidirect
796. #449	C₂²×C₆₇	semidirect
797. #449	C₂²×C₆₇	semidirect
798. #448	C₂²×C₆₇	semidirect
799. #448	C₂²×C₆₇	semidirect
800. #441	C₂²×C₆₇	semidirect
801. #440	C₂²×C₆₇	semidirect
802. C₄×Q₁₆	C₂²×C₆₇	semidirect
803. C₄×SD₁₆	C₂²×C₆₇	semidirect
804. #436	C₂²×C₆₇	semidirect
805. #435	C₂²×C₆₇	semidirect
806. #435	C₂²×C₆₇	semidirect
807. C₈×D₄	C₂²×C₆₇	semidirect
818. #419	C₂²×C₆₇	semidirect
819. #419	C₂²×C₆₇	semidirect
824. #417	C₂²×C₆₇	semidirect
825. #417	C₂²×C₆₇	semidirect
826. #416	C₂²×C₆₇	semidirect
827. #416	C₂²×C₆₇	semidirect
828. C₂×#103	C₂²×C₆₇	semidirect
829. C₂×#103	C₂²×C₆₇	semidirect
1073. C₂×Q₈	#41×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₆₇×#3475	2
C₂×#548×C₆₇	2
C₆₇×#3327	2
C₆₇×#3326	2
C₆₇×#3321	2
C₆₇×#3316	2
C₆₇×#3313	2
C₆₇×#3308	2
C₆₇×#3301	2
C₆₇×#3300	2
C₆₇×#3140	2
C₆₇×#3095	2
C₆₇×#3094	2
C₆₇×#3078	2
C₆₇×#3056	2
C₆₇×#3055	2
C₆₇×#3040	2
C₆₇×#3005	2
C₆₇×#3004	2
C₄×#137×C₆₇	2
D₄×M₁₆×C₆₇	2
C₆₇×#2896	2
C₂×#419×C₆₇	2
#61158	67

Subgroups — C67×#61158 #30740409

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#61158 #30740409