Subgroups — #31020214

Order 17152.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22563401	C₂	1	1	yes	maximal, characteristic, complemented
2	#22563375	C₂	1	1	yes	maximal, characteristic, complemented
3	#22563357	C₂	1	1	yes	maximal, characteristic, complemented
4	#22563350	C₂	1	1	yes	maximal, characteristic, complemented
5	#22563333	C₂	1	1	yes	maximal, characteristic, complemented
6	#22563333	C₂	1	1	yes	maximal, characteristic, complemented
7	#22563333	C₂	1	1	yes	maximal, characteristic, complemented
8	#22563321	C₂	1	1	yes	maximal, characteristic, complemented
9	#22563284	C₂	1	1	yes	maximal, characteristic, complemented
10	#22563240	C₂	1	1	yes	maximal, characteristic, complemented
11	#22563205	C₂	1	1	yes	maximal, characteristic, complemented
12	#22563193	C₂	1	1	yes	maximal, characteristic, complemented
13	#22563158	C₂	1	1	yes	maximal, characteristic, complemented
14	#22563149	C₂	1	1	yes	maximal, characteristic, complemented
15	#22563058	C₂	1	1	yes	maximal, characteristic, complemented
16	#22563058	C₂	1	1	yes	maximal, characteristic, complemented
17	#22563024	C₂	1	1	yes	maximal, characteristic, complemented
18	#22563003	C₂	1	1	yes	maximal, characteristic, complemented
19	#22562976	C₂	1	1	yes	maximal, characteristic, complemented
20	#22562976	C₂	1	1	yes	maximal, characteristic, complemented
21	#22562922	C₂	1	1	yes	maximal, characteristic, complemented
22	#22562914	C₂	1	1	yes	maximal, characteristic, complemented
23	#22562904	C₂	1	1	yes	maximal, characteristic, complemented
24	#22562904	C₂	1	1	yes	maximal, characteristic, complemented
25	#22562870	C₂	1	1	yes	maximal, characteristic, complemented
26	#22562870	C₂	1	1	yes	maximal, characteristic, complemented
27	#22562852	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×Dic₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	#121×Dic₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	#22562654	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#538×C₆₇	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
33	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
34	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
36	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
37	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
38	C₂×#14524002	C₂²	1	1	yes	characteristic
39	C₂×#14524002	C₂²	1	1	yes	characteristic
40	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
42	C₂²×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
43	C₂²×C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
44	#16863303	C₂²	1	1	yes	characteristic, complemented
45	#16863303	C₂²	1	1	yes	characteristic, complemented
46	#16863303	C₂²	1	1	yes	characteristic, complemented
47	#16863299	C₂²	1	1	yes	characteristic
48	#16863299	C₂²	1	1	yes	characteristic
49	#16863299	C₂²	1	1	yes	characteristic
50	#16863299	C₂²	1	1	yes	characteristic
51	#16863299	C₂²	1	1	yes	characteristic
52	#16863299	C₂²	1	1	yes	characteristic
53	#16863299	C₂²	1	1	yes	characteristic
54	#16863299	C₂²	1	1	yes	characteristic
55	#16863299	C₂²	1	1	yes	characteristic, complemented
56	#16863295	C₂²	1	1	yes	characteristic, complemented
57	#16863295	C₂²	1	1	yes	characteristic, complemented
58	#16863295	C₂²	1	1	yes	characteristic, complemented
59	#16863295	C₂²	1	1	yes	characteristic, complemented
60	#16863295	C₂²	1	1	yes	characteristic, complemented
61	#16863295	C₂²	1	1	yes	characteristic, complemented
62	#16863289	C₂²	1	1	yes	characteristic
63	#16863289	C₂²	1	1	yes	characteristic
64	#16863289	C₂²	1	1	yes	characteristic
65	#16863289	C₂²	1	1	yes	characteristic
66	#16863289	C₂²	1	1	yes	characteristic
67	#16863289	C₂²	1	1	yes	characteristic
68	#16863289	C₂²	1	1	yes	characteristic
69	#16863289	C₂²	1	1	yes	characteristic
70	#16863289	C₂²	1	1	yes	characteristic
71	#16863289	C₂²	1	1	yes	characteristic
72	#16863289	C₂²	1	1	yes	characteristic
73	#16863289	C₂²	1	1	yes	characteristic
74	#16863289	C₂²	1	1	yes	characteristic
75	#16863289	C₂²	1	1	yes	characteristic
76	#16863289	C₂²	1	1	yes	characteristic
77	#16863289	C₂²	1	1	yes	characteristic
78	#16863289	C₂²	1	1	yes	characteristic
79	#16863289	C₂²	1	1	yes	characteristic
80	#16863289	C₂²	1	1	yes	characteristic
81	#16863289	C₂²	1	1	yes	characteristic
82	#16863289	C₂²	1	1	yes	characteristic
83	#16863289	C₂²	1	1	yes	characteristic
84	#16863289	C₂²	1	1	yes	characteristic
85	#16863289	C₂²	1	1	yes	characteristic
86	#16863289	C₂²	1	1	yes	characteristic, complemented
87	#16863289	C₂²	1	1	yes	characteristic, complemented
88	#16863289	C₂²	1	1	yes	characteristic, complemented
89	#16863289	C₂²	1	1	yes	characteristic, complemented
90	#16863289	C₂²	1	1	yes	characteristic, complemented
91	#16863289	C₂²	1	1	yes	characteristic, complemented
92	#16863289	C₂²	1	1	yes	characteristic, complemented
93	#16863289	C₂²	1	1	yes	characteristic, complemented
94	#16863282	C₂²	1	1	yes	characteristic, complemented
95	#16863282	C₂²	1	1	yes	characteristic, complemented
96	#16863282	C₂²	1	1	yes	characteristic, complemented
97	#16863282	C₂²	1	1	yes	characteristic, complemented
98	#16863282	C₂²	1	1	yes	characteristic, complemented
99	#16863282	C₂²	1	1	yes	characteristic, complemented
100	#16863282	C₂²	1	1	yes	characteristic, complemented
101	#16863282	C₂²	1	1	yes	characteristic, complemented
102	#16863282	C₂²	1	1	yes	characteristic, complemented
103	#16863282	C₂²	1	1	yes	characteristic, complemented
104	#16863282	C₂²	1	1	yes	characteristic, complemented
105	#16863282	C₂²	1	1	yes	characteristic, complemented
106	#16863276	C₂²	1	1	yes	characteristic
107	#16863276	C₂²	1	1	yes	characteristic
108	#16863276	C₂²	1	1	yes	characteristic
109	#16863276	C₂²	1	1	yes	characteristic
110	#16863276	C₂²	1	1	yes	characteristic
111	#16863276	C₂²	1	1	yes	characteristic
112	#16863276	C₂²	1	1	yes	characteristic
113	#16863276	C₂²	1	1	yes	characteristic
114	#16863276	C₂²	1	1	yes	characteristic
115	#16863276	C₂²	1	1	yes	characteristic
116	#16863276	C₂²	1	1	yes	characteristic
117	#16863276	C₂²	1	1	yes	characteristic
118	#16863276	C₂²	1	1	yes	characteristic, complemented
119	#16863276	C₂²	1	1	yes	characteristic, complemented
120	#16863271	C₂²	1	1	yes	characteristic
121	#16863271	C₂²	1	1	yes	characteristic
122	#16863271	C₂²	1	1	yes	characteristic
123	#16863271	C₂²	1	1	yes	characteristic
124	#16863271	C₂²	1	1	yes	characteristic
125	#16863271	C₂²	1	1	yes	characteristic
126	#16863271	C₂²	1	1	yes	characteristic
127	#16863271	C₂²	1	1	yes	characteristic
128	#16863271	C₂²	1	1	yes	characteristic, complemented
129	#16863271	C₂²	1	1	yes	characteristic, complemented
130	#16863271	C₂²	1	1	yes	characteristic, complemented
131	#16863271	C₂²	1	1	yes	characteristic, complemented
132	#16863266	C₂²	1	1	yes	characteristic, complemented
133	#16863264	C₂²	1	1	yes	characteristic, complemented
134	#16863259	C₂²	1	1	yes	characteristic
135	#16863259	C₂²	1	1	yes	characteristic
136	#16863259	C₂²	1	1	yes	characteristic, complemented
137	#16863256	C₂²	1	1	yes	characteristic
138	#16863256	C₂²	1	1	yes	characteristic
139	#16863256	C₂²	1	1	yes	characteristic, complemented
140	#16863256	C₂²	1	1	yes	characteristic, complemented
141	#16863256	C₂²	1	1	yes	characteristic, complemented
142	#16863252	C₂²	1	1	yes	characteristic
143	#16863252	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
145	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
146	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
147	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
148	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
149	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
153	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
162	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
163	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
164	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
168	#16863242	C₂²	1	1	yes	characteristic, complemented
169	#16863242	C₂²	1	1	yes	characteristic, complemented
170	#16863242	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₆₇⋊#95	C₂²	1	1	yes	characteristic, complemented
172	#538×C₆₇	C₄	1	16	yes	complemented
173	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
174	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
175	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
176	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
177	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
178	C₂×#123×C₆₇	C₂²	1	1	yes	characteristic
179	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
180	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
181	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
182	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
183	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
184	C₂×#120×C₆₇	C₂²	1	1	yes	characteristic
185	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
186	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
187	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
188	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
189	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
190	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
192	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
195	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
196	Q₈×Dic₆₇	—	4	2	no	—
197	D₄×Dic₆₇	—	4	2	no	—
198	D₄×Dic₆₇	—	4	2	no	—
199	D₄×Dic₆₇	—	4	2	no	—
200	D₄×Dic₆₇	—	4	2	no	—
201	D₄×Dic₆₇	—	4	2	no	—
202	#14524002	—	4	2	no	—
203	#14524002	—	4	2	no	—
204	#14524002	—	4	2	no	—
205	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₆₇	—	4	2	no	—
226	C₂×C₂²⋊Dic₆₇	—	4	2	no	—
227	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₆₇	—	4	2	no	—
260	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
280	C₆₇⋊#95	C₂³	1	1	yes	characteristic
281	C₆₇⋊#95	C₂³	1	1	yes	characteristic
282	C₆₇⋊#95	C₂³	1	1	yes	characteristic
283	C₆₇⋊#95	C₂³	1	1	yes	characteristic
284	C₆₇⋊#95	C₂³	1	1	yes	characteristic
285	C₆₇⋊#95	C₂³	1	1	yes	characteristic
286	C₆₇⋊#95	C₂³	1	1	yes	characteristic
287	C₆₇⋊#95	C₂³	1	1	yes	characteristic
288	C₆₇⋊#95	C₂³	1	1	yes	characteristic
289	C₆₇⋊#95	C₂³	1	1	yes	characteristic
290	C₆₇⋊#95	C₂³	1	1	yes	characteristic
291	C₆₇⋊#95	C₂³	1	1	yes	characteristic
292	C₆₇⋊#95	C₂³	1	1	yes	characteristic
293	C₆₇⋊#95	C₂³	1	1	yes	characteristic
294	C₆₇⋊#95	C₂³	1	1	yes	characteristic
295	C₆₇⋊#95	C₂³	1	1	yes	characteristic
296	C₆₇⋊#95	C₂³	1	1	yes	characteristic
297	C₆₇⋊#95	C₂³	1	1	yes	characteristic
298	C₆₇⋊#95	C₂³	1	1	yes	characteristic
299	C₆₇⋊#95	C₂³	1	1	yes	characteristic
300	C₆₇⋊#95	C₂³	1	1	yes	characteristic
301	C₆₇⋊#95	C₂³	1	1	yes	characteristic
302	C₆₇⋊#95	C₂³	1	1	yes	characteristic
303	C₆₇⋊#95	C₂³	1	1	yes	characteristic
304	C₆₇⋊#95	C₂³	1	1	yes	characteristic
305	C₆₇⋊#95	C₂³	1	1	yes	characteristic
306	C₆₇⋊#95	C₂³	1	1	yes	characteristic
307	C₆₇⋊#95	C₂³	1	1	yes	characteristic
308	C₆₇⋊#95	C₂³	1	1	yes	characteristic
309	C₆₇⋊#95	C₂³	1	1	yes	characteristic
310	C₆₇⋊#95	C₂³	1	1	yes	characteristic
311	C₆₇⋊#95	C₂³	1	1	yes	characteristic
312	C₆₇⋊#95	C₂³	1	1	yes	characteristic
313	C₆₇⋊#95	C₂³	1	1	yes	characteristic
314	C₆₇⋊#95	C₂³	1	1	yes	characteristic
315	C₆₇⋊#95	C₂³	1	1	yes	characteristic
316	C₆₇⋊#95	C₂³	1	1	yes	characteristic
317	C₆₇⋊#95	C₂³	1	1	yes	characteristic
318	C₆₇⋊#95	C₂³	1	1	yes	characteristic
319	C₆₇⋊#95	C₂³	1	1	yes	characteristic
320	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
321	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
326	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
333	#126×C₆₇	C₂×C₄	1	8	yes	complemented
334	#126×C₆₇	C₂×C₄	1	8	yes	complemented
335	#124×C₆₇	C₂×C₄	1	8	yes	complemented
336	#124×C₆₇	C₂×C₄	1	8	yes	complemented
337	#123×C₆₇	C₂×C₄	1	8	yes	complemented
338	#123×C₆₇	C₂×C₄	1	8	yes	complemented
339	C₂²⋊Q₈×C₆₇	C₂×C₄	1	8	yes	complemented
340	#121×C₆₇	C₂×C₄	1	8	yes	complemented
341	#121×C₆₇	C₂×C₄	1	8	yes	complemented
342	#121×C₆₇	C₂×C₄	1	8	yes	complemented
343	#120×C₆₇	C₂×C₄	1	8	yes	complemented
344	#120×C₆₇	C₂×C₄	1	8	yes	complemented
345	C₄×D₄×C₆₇	C₂×C₄	1	8	yes	complemented
346	C₄×D₄×C₆₇	C₂×C₄	1	8	yes	complemented
347	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
352	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	8	yes	complemented
354	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
368	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
369	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
370	C₂²×Dic₆₇	—	2	2	no	—
371	C₂²×Dic₆₇	—	2	2	no	—
372	C₂²×Dic₆₇	—	2	2	no	—
373	C₂²×Dic₆₇	—	2	2	no	—
374	C₂²×Dic₆₇	—	2	2	no	—
375	C₂²×Dic₆₇	—	4	1	no	—
376	C₂²×Dic₆₇	—	4	1	no	—
377	C₂²×Dic₆₇	—	4	1	no	—
378	C₂²×Dic₆₇	—	4	1	no	—
379	C₂²×Dic₆₇	—	4	1	no	—
380	C₂²×Dic₆₇	—	4	1	no	—
381	C₂²×Dic₆₇	—	4	1	no	—
382	C₂²×Dic₆₇	—	4	1	no	—
383	C₂²×Dic₆₇	—	4	1	no	—
384	C₂²×Dic₆₇	—	4	1	no	—
385	C₂²×Dic₆₇	—	4	1	no	—
386	C₂²×Dic₆₇	—	4	1	no	—
387	C₂²×Dic₆₇	—	4	1	no	—
388	C₂²×Dic₆₇	—	4	1	no	—
389	C₂²×Dic₆₇	—	4	1	no	—
390	C₂²×Dic₆₇	—	4	1	no	—
391	C₂²×Dic₆₇	—	4	1	no	—
392	C₂²×Dic₆₇	—	4	1	no	—
393	C₂²×Dic₆₇	—	4	1	no	—
394	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
410	C₄⋊Dic₆₇	—	2	2	no	—
411	C₄⋊Dic₆₇	—	2	2	no	—
412	C₄⋊Dic₆₇	—	2	2	no	—
413	C₄⋊Dic₆₇	—	4	1	no	—
414	C₄⋊Dic₆₇	—	4	1	no	—
415	C₄⋊Dic₆₇	—	4	1	no	—
416	C₄⋊Dic₆₇	—	4	1	no	—
417	C₄⋊Dic₆₇	—	4	1	no	—
418	C₄⋊Dic₆₇	—	4	1	no	—
419	C₄⋊Dic₆₇	—	4	1	no	—
420	C₄⋊Dic₆₇	—	4	1	no	—
421	C₄⋊Dic₆₇	—	4	1	no	—
422	C₄⋊Dic₆₇	—	4	1	no	—
423	C₄⋊Dic₆₇	—	4	1	no	—
424	C₄⋊Dic₆₇	—	4	1	no	—
425	C₄⋊Dic₆₇	—	4	1	no	—
426	C₄⋊Dic₆₇	—	4	1	no	—
427	C₄⋊Dic₆₇	—	4	1	no	—
428	C₄⋊Dic₆₇	—	4	1	no	—
429	C₄⋊Dic₆₇	—	4	1	no	—
430	C₂²⋊Dic₆₇	—	2	2	no	—
431	C₂²⋊Dic₆₇	—	2	2	no	—
432	C₂²⋊Dic₆₇	—	2	2	no	—
433	C₂²⋊Dic₆₇	—	2	2	no	—
434	C₂²⋊Dic₆₇	—	2	2	no	—
435	C₂²⋊Dic₆₇	—	4	1	no	—
436	C₂²⋊Dic₆₇	—	4	1	no	—
437	C₂²⋊Dic₆₇	—	4	1	no	—
438	C₂²⋊Dic₆₇	—	4	1	no	—
439	C₂²⋊Dic₆₇	—	4	1	no	—
440	C₂²⋊Dic₆₇	—	4	1	no	—
441	C₂²⋊Dic₆₇	—	4	1	no	—
442	C₂²⋊Dic₆₇	—	4	1	no	—
443	C₂²⋊Dic₆₇	—	4	1	no	—
444	C₂²⋊Dic₆₇	—	4	1	no	—
445	C₂²⋊Dic₆₇	—	4	1	no	—
446	C₂²⋊Dic₆₇	—	4	1	no	—
447	C₂²⋊Dic₆₇	—	4	1	no	—
448	C₂²⋊Dic₆₇	—	4	1	no	—
449	C₂²⋊Dic₆₇	—	4	1	no	—
450	C₂²⋊Dic₆₇	—	4	1	no	—
451	C₂²⋊Dic₆₇	—	4	1	no	—
452	C₂²⋊Dic₆₇	—	4	1	no	—
453	C₂²⋊Dic₆₇	—	4	1	no	—
454	C₂²⋊Dic₆₇	—	4	1	no	—
455	C₂²⋊Dic₆₇	—	4	1	no	—
456	C₂²⋊Dic₆₇	—	4	1	no	—
457	C₂²⋊Dic₆₇	—	4	1	no	—
458	C₂²⋊Dic₆₇	—	4	1	no	—
459	C₂²⋊Dic₆₇	—	4	1	no	—
460	C₂²⋊Dic₆₇	—	4	1	no	—
461	C₂²⋊Dic₆₇	—	4	1	no	—
462	C₄×Dic₆₇	—	2	2	no	—
463	C₄×Dic₆₇	—	2	2	no	—
464	C₄×Dic₆₇	—	2	2	no	—
465	C₄×Dic₆₇	—	2	2	no	—
466	C₄×Dic₆₇	—	2	2	no	—
467	C₄×Dic₆₇	—	4	1	no	—
468	C₄×Dic₆₇	—	4	1	no	—
469	C₄×Dic₆₇	—	4	1	no	—
470	C₄×Dic₆₇	—	4	1	no	—
471	C₄×Dic₆₇	—	4	1	no	—
472	C₄×Dic₆₇	—	4	1	no	—
473	C₄×Dic₆₇	—	4	1	no	—
474	C₄×Dic₆₇	—	4	1	no	—
475	C₄×Dic₆₇	—	4	1	no	—
476	C₄×Dic₆₇	—	4	1	no	—
477	C₄×Dic₆₇	—	4	1	no	—
478	C₄×Dic₆₇	—	4	1	no	—
479	C₄×Dic₆₇	—	4	1	no	—
480	C₄×Dic₆₇	—	4	1	no	—
481	C₄×Dic₆₇	—	4	1	no	—
482	C₂⁴×C₆₇	—	4	1	no	—
483	C₂⁴×C₆₇	—	4	1	no	—
484	C₂⁴×C₆₇	—	4	1	no	—
485	C₂⁴×C₆₇	—	4	1	no	—
486	C₂⁴×C₆₇	—	4	1	no	—
487	C₂⁴×C₆₇	—	4	1	no	—
488	C₂⁴×C₆₇	C₂²×C₄	1	4	yes	—
489	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
490	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
491	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
492	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
493	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₆₇	—	4	1	no	—
495	C₂×Q₈×C₆₇	—	4	1	no	—
496	C₂×Q₈×C₆₇	C₂²×C₄	1	4	yes	—
497	C₂×D₄×C₆₇	—	4	1	no	—
498	C₂×D₄×C₆₇	—	4	1	no	—
499	C₂×D₄×C₆₇	—	4	1	no	—
500	C₂×D₄×C₆₇	—	4	1	no	—
501	C₂×D₄×C₆₇	—	4	1	no	—
502	C₂×D₄×C₆₇	—	4	1	no	—
503	C₂×D₄×C₆₇	—	4	1	no	—
504	C₂×D₄×C₆₇	—	4	1	no	—
505	C₂×D₄×C₆₇	—	4	1	no	—
506	C₂×D₄×C₆₇	—	4	1	no	—
507	C₂×D₄×C₆₇	—	4	1	no	—
508	C₂×D₄×C₆₇	—	4	1	no	—
509	C₂×D₄×C₆₇	—	4	1	no	—
510	C₂×D₄×C₆₇	—	4	1	no	—
511	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
512	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
513	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
514	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
515	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
516	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
517	C₂×D₄×C₆₇	C₂²×C₄	1	4	yes	—
518	C₂²×C₄×C₆₇	—	4	1	no	—
519	C₂²×C₄×C₆₇	—	4	1	no	—
520	C₂²×C₄×C₆₇	—	4	1	no	—
521	C₂²×C₄×C₆₇	—	4	1	no	—
522	C₂²×C₄×C₆₇	—	4	1	no	—
523	C₂²×C₄×C₆₇	—	4	1	no	—
524	C₂²×C₄×C₆₇	—	4	1	no	—
525	C₂²×C₄×C₆₇	—	4	1	no	—
526	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
527	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
528	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
529	C₂²×C₄×C₆₇	C₂²×C₄	1	4	yes	—
530	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
540	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
541	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
542	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
543	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
544	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
545	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
546	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
547	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
548	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
549	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
550	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
551	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
552	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
553	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
554	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
555	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
556	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
557	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
558	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
559	C₂²⋊C₄×C₆₇	C₂²×C₄	1	4	yes	—
560	C₄²×C₆₇	C₂²×C₄	1	4	yes	—
561	C₄²×C₆₇	C₂²×C₄	1	4	yes	—
562	C₂³×C₆₇	—	2	1	no	—
563	C₂³×C₆₇	—	2	1	no	—
564	C₂³×C₆₇	—	2	1	no	—
565	C₂³×C₆₇	—	2	1	no	—
566	C₂³×C₆₇	—	2	1	no	—
567	C₂³×C₆₇	—	2	1	no	—
568	C₂³×C₆₇	—	2	1	no	—
569	C₂³×C₆₇	—	2	1	no	—
570	C₂³×C₆₇	—	2	1	no	—
571	C₂³×C₆₇	—	2	1	no	—
572	C₂³×C₆₇	—	2	1	no	—
573	C₂³×C₆₇	—	2	1	no	—
574	C₂³×C₆₇	—	2	1	no	—
575	C₂³×C₆₇	—	2	1	no	—
576	C₂³×C₆₇	—	2	1	no	—
577	C₂³×C₆₇	—	2	1	no	—
578	C₂³×C₆₇	—	2	1	no	—
579	C₂³×C₆₇	—	2	1	no	—
580	C₂³×C₆₇	—	2	1	no	—
581	C₂³×C₆₇	—	2	1	no	—
582	C₂³×C₆₇	—	2	1	no	—
583	C₂³×C₆₇	—	2	1	no	—
584	C₂³×C₆₇	—	2	1	no	—
585	C₂³×C₆₇	—	2	1	no	—
586	C₂³×C₆₇	—	2	1	no	—
587	C₂³×C₆₇	—	2	1	no	—
588	C₂³×C₆₇	—	2	1	no	—
589	C₂³×C₆₇	—	2	1	no	—
590	C₂³×C₆₇	—	2	1	no	—
591	C₂³×C₆₇	—	2	1	no	—
592	C₂³×C₆₇	—	4	4	no	—
593	C₂³×C₆₇	—	4	4	no	—
594	C₂³×C₆₇	—	4	4	no	—
595	C₂³×C₆₇	—	8	2	no	—
596	C₂³×C₆₇	—	8	2	no	—
597	C₂³×C₆₇	—	8	2	no	—
598	C₂³×C₆₇	—	8	2	no	—
599	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
600	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
601	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
602	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
603	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
604	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
605	Q₈×C₆₇	—	4	4	no	—
606	D₄×C₆₇	—	4	4	no	—
607	D₄×C₆₇	—	4	4	no	—
608	D₄×C₆₇	—	4	4	no	—
609	D₄×C₆₇	—	4	4	no	—
610	D₄×C₆₇	—	4	4	no	—
611	D₄×C₆₇	—	4	4	no	—
612	D₄×C₆₇	—	4	4	no	—
613	C₂×C₄×C₆₇	—	2	1	no	—
614	C₂×C₄×C₆₇	—	2	1	no	—
615	C₂×C₄×C₆₇	—	2	1	no	—
616	C₂×C₄×C₆₇	—	2	1	no	—
617	C₂×C₄×C₆₇	—	2	1	no	—
618	C₂×C₄×C₆₇	—	2	1	no	—
619	C₂×C₄×C₆₇	—	2	1	no	—
620	C₂×C₄×C₆₇	—	2	1	no	—
621	C₂×C₄×C₆₇	—	2	1	no	—
622	C₂×C₄×C₆₇	—	2	1	no	—
623	C₂×C₄×C₆₇	—	2	1	no	—
624	C₂×C₄×C₆₇	—	2	1	no	—
625	C₂×C₄×C₆₇	—	2	1	no	—
626	C₂×C₄×C₆₇	—	2	1	no	—
627	C₂×C₄×C₆₇	—	2	1	no	—
628	C₂×C₄×C₆₇	—	2	1	no	—
629	C₂×C₄×C₆₇	—	2	1	no	—
630	C₂×C₄×C₆₇	—	2	1	no	—
631	C₂×C₄×C₆₇	—	2	1	no	—
632	C₂×C₄×C₆₇	—	2	1	no	—
633	C₂×C₄×C₆₇	—	4	4	no	—
634	C₂×C₄×C₆₇	—	4	4	no	—
635	C₂×C₄×C₆₇	—	4	4	no	—
636	C₂×C₄×C₆₇	—	4	4	no	—
637	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
638	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
639	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
640	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
641	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
642	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
643	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
644	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
645	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
646	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
647	C₂×Dic₆₇	—	2	1	no	—
648	C₂×Dic₆₇	—	2	1	no	—
649	C₂×Dic₆₇	—	2	1	no	—
650	C₂×Dic₆₇	—	2	1	no	—
651	C₂×Dic₆₇	—	2	1	no	—
652	C₂×Dic₆₇	—	2	1	no	—
653	C₂×Dic₆₇	—	2	1	no	—
654	C₂×Dic₆₇	—	2	1	no	—
655	C₂×Dic₆₇	—	2	1	no	—
656	C₂×Dic₆₇	—	2	1	no	—
657	C₂×Dic₆₇	—	2	1	no	—
658	C₂×Dic₆₇	—	2	1	no	—
659	C₂×Dic₆₇	—	2	1	no	—
660	C₂×Dic₆₇	—	2	1	no	—
661	C₂×Dic₆₇	—	2	1	no	—
662	C₂×Dic₆₇	—	2	1	no	—
663	C₂×Dic₆₇	—	2	1	no	—
664	C₂×Dic₆₇	—	2	1	no	—
665	C₂×Dic₆₇	—	2	1	no	—
666	C₂×Dic₆₇	—	2	1	no	—
667	C₂×Dic₆₇	—	2	1	no	—
668	C₂×Dic₆₇	—	2	1	no	—
669	C₂×Dic₆₇	—	2	1	no	—
670	C₂×Dic₆₇	—	2	1	no	—
671	C₂×Dic₆₇	—	2	1	no	—
672	C₂×Dic₆₇	—	2	1	no	—
673	C₂×Dic₆₇	—	2	1	no	—
674	C₂×Dic₆₇	—	2	1	no	—
675	C₂×Dic₆₇	—	2	1	no	—
676	C₂×Dic₆₇	—	2	1	no	—
677	C₂×Dic₆₇	—	2	1	no	—
678	C₂×Dic₆₇	—	2	1	no	—
679	C₂×Dic₆₇	—	2	1	no	—
680	C₂×Dic₆₇	—	2	1	no	—
681	C₂×Dic₆₇	—	2	1	no	—
682	C₂×Dic₆₇	—	2	1	no	—
683	C₂×Dic₆₇	—	2	1	no	—
684	C₂×Dic₆₇	—	2	1	no	—
685	C₂×Dic₆₇	—	2	1	no	—
686	C₂×Dic₆₇	—	2	1	no	—
687	C₂×Dic₆₇	—	2	1	no	—
688	C₂×Dic₆₇	—	2	1	no	—
689	C₂×Dic₆₇	—	2	1	no	—
690	C₂×Dic₆₇	—	2	1	no	—
691	C₂×Dic₆₇	—	2	1	no	—
692	C₂×Dic₆₇	—	2	1	no	—
693	C₂×Dic₆₇	—	4	4	no	—
694	C₂×Dic₆₇	—	4	4	no	—
695	C₂×Dic₆₇	—	8	2	no	—
696	C₂×Dic₆₇	—	8	2	no	—
697	C₂×Dic₆₇	—	8	2	no	—
698	C₂×Dic₆₇	—	8	2	no	—
699	C₂×Dic₆₇	—	8	2	no	—
700	C₂×Dic₆₇	—	8	2	no	—
701	C₂×Dic₆₇	H(5,𝔽₂)	1	2	yes	—
702	C₂×Dic₆₇	H(5,𝔽₂)	1	2	yes	—
703	C₂²×C₆₇	—	2	2	no	—
704	C₂²×C₆₇	—	2	2	no	—
705	C₂²×C₆₇	—	2	2	no	—
706	C₂²×C₆₇	—	2	2	no	—
707	C₂²×C₆₇	—	2	2	no	—
708	C₂²×C₆₇	—	2	2	no	—
709	C₂²×C₆₇	—	2	2	no	—
710	C₂²×C₆₇	—	2	2	no	—
711	C₂²×C₆₇	—	2	2	no	—
712	C₂²×C₆₇	—	2	2	no	—
713	C₂²×C₆₇	—	2	2	no	—
714	C₂²×C₆₇	—	2	2	no	—
715	C₂²×C₆₇	—	2	2	no	—
716	C₂²×C₆₇	—	2	2	no	—
717	C₂²×C₆₇	—	2	2	no	—
718	C₂²×C₆₇	—	4	1	no	—
719	C₂²×C₆₇	—	4	1	no	—
720	C₂²×C₆₇	—	4	1	no	—
721	C₂²×C₆₇	—	4	1	no	—
722	C₂²×C₆₇	—	4	1	no	—
723	C₂²×C₆₇	—	4	1	no	—
724	C₂²×C₆₇	—	4	1	no	—
725	C₂²×C₆₇	—	4	1	no	—
726	C₂²×C₆₇	—	4	1	no	—
727	C₂²×C₆₇	—	4	1	no	—
728	C₂²×C₆₇	—	4	1	no	—
729	C₂²×C₆₇	—	4	1	no	—
730	C₂²×C₆₇	—	4	1	no	—
731	C₂²×C₆₇	—	4	1	no	—
732	C₂²×C₆₇	—	4	1	no	—
733	C₂²×C₆₇	—	4	1	no	—
734	C₂²×C₆₇	—	4	1	no	—
735	C₂²×C₆₇	—	4	1	no	—
736	C₂²×C₆₇	—	4	1	no	—
737	C₂²×C₆₇	—	4	1	no	—
738	C₂²×C₆₇	—	8	8	no	—
739	C₂²×C₆₇	C₂⁴×C₄	1	1	yes	characteristic
740	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
741	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
742	C₂²×C₆₇	#585	1	1	yes	characteristic
743	C₂²×C₆₇	#585	1	1	yes	characteristic
744	C₂²×C₆₇	#585	1	1	yes	characteristic
745	C₂²×C₆₇	#585	1	1	yes	characteristic
746	C₄×C₆₇	—	2	2	no	—
747	C₄×C₆₇	—	2	2	no	—
748	C₄×C₆₇	—	2	2	no	—
749	C₄×C₆₇	—	2	2	no	—
750	C₄×C₆₇	—	2	2	no	—
751	C₄×C₆₇	—	2	2	no	—
752	C₄×C₆₇	—	2	2	no	—
753	C₄×C₆₇	—	2	2	no	—
754	C₄×C₆₇	—	2	2	no	—
755	C₄×C₆₇	—	2	2	no	—
756	Dic₆₇	—	2	2	no	—
757	Dic₆₇	—	2	2	no	—
758	Dic₆₇	—	4	1	no	—
759	Dic₆₇	—	4	1	no	—
760	Dic₆₇	—	4	1	no	—
761	Dic₆₇	—	4	1	no	—
762	Dic₆₇	—	4	1	no	—
763	Dic₆₇	—	4	1	no	—
764	Dic₆₇	—	4	1	no	—
765	Dic₆₇	—	4	1	no	—
766	Dic₆₇	—	4	1	no	—
767	Dic₆₇	—	4	1	no	—
768	Dic₆₇	—	4	1	no	—
769	Dic₆₇	—	4	1	no	—
770	Dic₆₇	—	4	1	no	—
771	Dic₆₇	—	4	1	no	—
772	#34451	—	67	1	no	maximal, Sylow
773	C₂×C₆₇	—	4	2	no	—
774	C₂×C₆₇	—	4	2	no	—
775	C₂×C₆₇	—	4	2	no	—
776	C₂×C₆₇	—	4	2	no	—
777	C₂×C₆₇	—	4	2	no	—
778	C₂×C₆₇	#3428	1	1	yes	characteristic
779	C₂×C₆₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
780	C₂×C₆₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
781	C₂×C₆₇	#3533	1	1	yes	characteristic
782	C₂×C₆₇	#3542	1	1	yes	characteristic
783	C₂×C₆₇	#3551	1	1	yes	characteristic
784	C₂×C₆₇	#3568	1	1	yes	characteristic
785	C₂×#538	D₆₇	1	1	yes	characteristic
786	#2383	—	67	1	no	—
787	#2378	—	67	1	no	—
788	#2376	—	67	1	no	—
789	#2375	—	67	1	no	—
790	#2373	—	67	1	no	—
791	#2373	—	67	1	no	—
792	#2373	—	67	1	no	—
793	#2372	—	67	1	no	—
794	#2367	—	67	1	no	—
795	#2362	—	67	1	no	—
796	#2359	—	67	1	no	—
797	#2358	—	67	1	no	—
798	#2354	—	67	1	no	—
799	#2353	—	67	1	no	—
800	#2342	—	67	1	no	—
801	#2342	—	67	1	no	—
802	#2337	—	67	1	no	—
803	#2335	—	67	1	no	—
804	#2333	—	67	1	no	—
805	#2333	—	67	1	no	—
806	#2326	—	67	1	no	—
807	#2325	—	67	1	no	—
808	#2324	—	67	1	no	—
809	#2324	—	67	1	no	—
810	#2321	—	67	1	no	—
811	#2321	—	67	1	no	—
812	#2319	—	67	1	no	—
813	C₄×#123	—	67	1	no	—
814	C₄×#121	—	67	1	no	—
815	#2290	—	67	1	no	—
816	C₆₇	#34451	1	1	yes	characteristic, complemented, Sylow
817	#538	Dic₆₇	1	16	yes	complemented
818	C₂×#126	C₂×D₆₇	1	1	yes	characteristic
819	C₂×#126	C₂×D₆₇	1	1	yes	characteristic
820	C₂×#124	C₂×D₆₇	1	1	yes	characteristic
821	C₂×#124	C₂×D₆₇	1	1	yes	characteristic
822	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
823	C₂×#123	C₂×D₆₇	1	1	yes	characteristic
824	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic
825	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
826	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
827	C₂×#121	C₂×D₆₇	1	1	yes	characteristic
828	C₂×#120	C₂×D₆₇	1	1	yes	characteristic
829	C₂×#120	C₂×D₆₇	1	1	yes	characteristic
830	C₂×C₄×Q₈	—	67	1	no	—
831	C₂×C₄×D₄	—	67	1	no	—
832	C₂×C₄×D₄	—	67	1	no	—
833	C₂×C₄×D₄	—	67	1	no	—
834	C₂×C₄×D₄	—	67	1	no	—
835	C₂×C₄×D₄	—	67	1	no	—
836	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
837	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
838	C₂×#117	—	67	1	no	—
839	C₂×#117	—	67	1	no	—
840	C₂×#117	—	67	1	no	—
841	C₂²×C₂²⋊C₄	—	67	1	no	—
842	C₂²×C₂²⋊C₄	—	67	1	no	—
843	C₂²×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic
844	C₂²×C₄²	—	67	1	no	—
845	#391	—	67	1	no	—
846	#391	—	67	1	no	—
847	#391	—	67	1	no	—
848	#390	—	67	1	no	—
849	#390	—	67	1	no	—
850	#390	—	67	1	no	—
851	#390	—	67	1	no	—
852	#390	—	67	1	no	—
853	#390	—	67	1	no	—
854	#390	—	67	1	no	—
855	#390	—	67	1	no	—
856	#390	—	67	1	no	—
857	#389	—	67	1	no	—
858	#389	—	67	1	no	—
859	#389	—	67	1	no	—
860	#389	—	67	1	no	—
861	#389	—	67	1	no	—
862	#389	—	67	1	no	—
863	#388	—	67	1	no	—
864	#388	—	67	1	no	—
865	#388	—	67	1	no	—
866	#388	—	67	1	no	—
867	#388	—	67	1	no	—
868	#388	—	67	1	no	—
869	#388	—	67	1	no	—
870	#388	—	67	1	no	—
871	#388	—	67	1	no	—
872	#388	—	67	1	no	—
873	#388	—	67	1	no	—
874	#388	—	67	1	no	—
875	#388	—	67	1	no	—
876	#388	—	67	1	no	—
877	#388	—	67	1	no	—
878	#388	—	67	1	no	—
879	#388	—	67	1	no	—
880	#388	—	67	1	no	—
881	#388	—	67	1	no	—
882	#388	—	67	1	no	—
883	#388	—	67	1	no	—
884	#388	—	67	1	no	—
885	#388	—	67	1	no	—
886	#388	—	67	1	no	—
887	#388	—	67	1	no	—
888	#388	—	67	1	no	—
889	#388	—	67	1	no	—
890	#388	—	67	1	no	—
891	#388	—	67	1	no	—
892	#388	—	67	1	no	—
893	#388	—	67	1	no	—
894	#388	—	67	1	no	—
895	#387	—	67	1	no	—
896	#387	—	67	1	no	—
897	#387	—	67	1	no	—
898	#387	—	67	1	no	—
899	#387	—	67	1	no	—
900	#387	—	67	1	no	—
901	#387	—	67	1	no	—
902	#387	—	67	1	no	—
903	#387	—	67	1	no	—
904	#387	—	67	1	no	—
905	#387	—	67	1	no	—
906	#387	—	67	1	no	—
907	#386	—	67	1	no	—
908	#386	—	67	1	no	—
909	#386	—	67	1	no	—
910	#386	—	67	1	no	—
911	#386	—	67	1	no	—
912	#386	—	67	1	no	—
913	#386	—	67	1	no	—
914	#386	—	67	1	no	—
915	#386	—	67	1	no	—
916	#386	—	67	1	no	—
917	#386	—	67	1	no	—
918	#386	—	67	1	no	—
919	#386	—	67	1	no	—
920	#386	—	67	1	no	—
921	#385	—	67	1	no	—
922	#385	—	67	1	no	—
923	#385	—	67	1	no	—
924	#385	—	67	1	no	—
925	#385	—	67	1	no	—
926	#385	—	67	1	no	—
927	#385	—	67	1	no	—
928	#385	—	67	1	no	—
929	#385	—	67	1	no	—
930	#385	—	67	1	no	—
931	#385	—	67	1	no	—
932	#385	—	67	1	no	—
933	#384	—	67	1	no	—
934	#383	—	67	1	no	—
935	#381	—	67	1	no	—
936	#381	—	67	1	no	—
937	#381	—	67	1	no	—
938	#380	—	67	1	no	—
939	#380	—	67	1	no	—
940	#380	—	67	1	no	—
941	#380	—	67	1	no	—
942	#380	—	67	1	no	—
943	#379	—	67	1	no	—
944	#379	—	67	1	no	—
945	C₄×C₄⋊C₄	—	67	1	no	—
946	C₄×C₄⋊C₄	—	67	1	no	—
947	C₄×C₄⋊C₄	—	67	1	no	—
948	C₄×C₄⋊C₄	—	67	1	no	—
949	C₄×C₄⋊C₄	—	67	1	no	—
950	C₄×C₄⋊C₄	—	67	1	no	—
951	C₄×C₄⋊C₄	—	67	1	no	—
952	C₄×C₄⋊C₄	—	67	1	no	—
953	C₄×C₄⋊C₄	—	67	1	no	—
954	C₄×C₂²⋊C₄	—	67	1	no	—
955	C₄×C₂²⋊C₄	—	67	1	no	—
956	C₄×C₂²⋊C₄	—	67	1	no	—
957	C₄×C₂²⋊C₄	—	67	1	no	—
958	C₄×C₂²⋊C₄	—	67	1	no	—
959	C₄×C₂²⋊C₄	—	67	1	no	—
960	C₄×C₂²⋊C₄	—	67	1	no	—
961	C₄×C₂²⋊C₄	—	67	1	no	—
962	C₄×C₂²⋊C₄	—	67	1	no	—
963	C₄×C₂²⋊C₄	—	67	1	no	—
964	C₄×C₂²⋊C₄	—	67	1	no	—
965	C₄×C₂²⋊C₄	—	67	1	no	—
966	C₄×C₂²⋊C₄	—	67	1	no	—
967	C₄×C₂²⋊C₄	—	67	1	no	—
968	C₄×C₂²⋊C₄	—	67	1	no	—
969	#376	—	67	1	no	—
970	#376	—	67	1	no	—
971	#376	—	67	1	no	—
972	C₂×#95	—	67	1	no	—
973	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
974	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
975	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
976	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
977	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
978	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
979	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
980	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
981	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
982	C₂³×C₄	—	67	1	no	—
983	C₂³×C₄	—	67	1	no	—
984	C₂³×C₄	—	67	1	no	—
985	C₂³×C₄	—	67	1	no	—
986	C₂³×C₄	—	67	1	no	—
987	C₂³×C₄	—	67	1	no	—
988	C₂³×C₄	—	67	1	no	—
989	C₂³×C₄	—	67	1	no	—
990	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
991	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
992	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
993	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
994	#126	C₂×Dic₆₇	1	8	yes	complemented
995	#126	C₂×Dic₆₇	1	8	yes	complemented
996	#124	C₂×Dic₆₇	1	8	yes	complemented
997	#124	C₂×Dic₆₇	1	8	yes	complemented
998	#123	C₂×Dic₆₇	1	8	yes	complemented
999	#123	C₂×Dic₆₇	1	8	yes	complemented
1000	C₂²⋊Q₈	C₂×Dic₆₇	1	8	yes	complemented
1001	#121	C₂×Dic₆₇	1	8	yes	complemented
1002	#121	C₂×Dic₆₇	1	8	yes	complemented
1003	#121	C₂×Dic₆₇	1	8	yes	complemented
1004	#120	C₂×Dic₆₇	1	8	yes	complemented
1005	#120	C₂×Dic₆₇	1	8	yes	complemented
1006	C₄×Q₈	—	268	2	no	—
1007	C₄×D₄	—	268	2	no	—
1008	C₄×D₄	—	268	2	no	—
1009	C₄×D₄	—	268	2	no	—
1010	C₄×D₄	—	268	2	no	—
1011	C₄×D₄	—	268	2	no	—
1012	C₄×D₄	C₂×Dic₆₇	1	8	yes	complemented
1013	C₄×D₄	C₂×Dic₆₇	1	8	yes	complemented
1014	#117	—	268	2	no	—
1015	#117	—	268	2	no	—
1016	#117	—	268	2	no	—
1017	C₂×C₄⋊C₄	—	67	1	no	—
1018	C₂×C₄⋊C₄	—	67	1	no	—
1019	C₂×C₄⋊C₄	—	67	1	no	—
1020	C₂×C₄⋊C₄	—	67	1	no	—
1021	C₂×C₄⋊C₄	—	67	1	no	—
1022	C₂×C₄⋊C₄	—	67	1	no	—
1023	C₂×C₄⋊C₄	—	67	1	no	—
1024	C₂×C₄⋊C₄	—	67	1	no	—
1025	C₂×C₄⋊C₄	—	67	1	no	—
1026	C₂×C₄⋊C₄	—	67	1	no	—
1027	C₂×C₄⋊C₄	—	67	1	no	—
1028	C₂×C₄⋊C₄	—	67	1	no	—
1029	C₂×C₄⋊C₄	—	67	1	no	—
1030	C₂×C₄⋊C₄	—	67	1	no	—
1031	C₂×C₄⋊C₄	—	67	1	no	—
1032	C₂×C₄⋊C₄	—	67	1	no	—
1033	C₂×C₄⋊C₄	—	67	1	no	—
1034	C₂×C₄⋊C₄	—	67	1	no	—
1035	C₂×C₄⋊C₄	—	67	1	no	—
1036	C₂×C₄⋊C₄	—	67	1	no	—
1037	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	—	268	2	no	—
1044	C₂×C₂²⋊C₄	—	268	2	no	—
1045	C₂×C₂²⋊C₄	—	67	1	no	—
1046	C₂×C₂²⋊C₄	—	67	1	no	—
1047	C₂×C₂²⋊C₄	—	67	1	no	—
1048	C₂×C₂²⋊C₄	—	67	1	no	—
1049	C₂×C₂²⋊C₄	—	67	1	no	—
1050	C₂×C₂²⋊C₄	—	67	1	no	—
1051	C₂×C₂²⋊C₄	—	67	1	no	—
1052	C₂×C₂²⋊C₄	—	67	1	no	—
1053	C₂×C₂²⋊C₄	—	67	1	no	—
1054	C₂×C₂²⋊C₄	—	67	1	no	—
1055	C₂×C₂²⋊C₄	—	67	1	no	—
1056	C₂×C₂²⋊C₄	—	67	1	no	—
1057	C₂×C₂²⋊C₄	—	67	1	no	—
1058	C₂×C₂²⋊C₄	—	67	1	no	—
1059	C₂×C₂²⋊C₄	—	67	1	no	—
1060	C₂×C₂²⋊C₄	—	67	1	no	—
1061	C₂×C₂²⋊C₄	—	67	1	no	—
1062	C₂×C₂²⋊C₄	—	67	1	no	—
1063	C₂×C₂²⋊C₄	—	67	1	no	—
1064	C₂×C₂²⋊C₄	—	67	1	no	—
1065	C₂×C₂²⋊C₄	—	67	1	no	—
1066	C₂×C₂²⋊C₄	—	67	1	no	—
1067	C₂×C₂²⋊C₄	—	67	1	no	—
1068	C₂×C₂²⋊C₄	—	67	1	no	—
1069	C₂×C₂²⋊C₄	—	67	1	no	—
1070	C₂×C₂²⋊C₄	—	67	1	no	—
1071	C₂×C₂²⋊C₄	—	67	1	no	—
1072	C₂×C₂²⋊C₄	—	67	1	no	—
1073	C₂×C₂²⋊C₄	—	67	1	no	—
1074	C₂×C₂²⋊C₄	—	67	1	no	—
1075	C₂×C₂²⋊C₄	—	67	1	no	—
1076	C₂×C₂²⋊C₄	—	67	1	no	—
1077	C₂×C₂²⋊C₄	C₂×Dic₆₇	1	8	yes	complemented
1078	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1092	C₂×C₄²	—	268	2	no	—
1093	C₂×C₄²	—	67	1	no	—
1094	C₂×C₄²	—	67	1	no	—
1095	C₂×C₄²	—	67	1	no	—
1096	C₂×C₄²	—	67	1	no	—
1097	C₂×C₄²	—	67	1	no	—
1098	C₂×C₄²	—	67	1	no	—
1099	C₂×C₄²	—	67	1	no	—
1100	C₂×C₄²	—	67	1	no	—
1101	C₂×C₄²	—	67	1	no	—
1102	C₂×C₄²	—	67	1	no	—
1103	C₂×C₄²	—	67	1	no	—
1104	C₂×C₄²	—	67	1	no	—
1105	C₂×C₄²	—	67	1	no	—
1106	C₂×C₄²	—	67	1	no	—
1107	C₂×C₄²	—	67	1	no	—
1108	C₂×C₄²	—	67	1	no	—
1109	C₂×C₄²	—	67	1	no	—
1110	C₂×C₄²	—	67	1	no	—
1111	C₂×C₄²	—	67	1	no	—
1112	C₂×C₄²	—	67	1	no	—
1113	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1114	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1115	#95	—	67	1	no	—
1116	#95	—	67	1	no	—
1117	#95	—	67	1	no	—
1118	#95	—	67	1	no	—
1119	#95	—	67	1	no	—
1120	#95	—	67	1	no	—
1121	#95	—	67	1	no	—
1122	#95	—	67	1	no	—
1123	#95	—	67	1	no	—
1124	#95	—	67	1	no	—
1125	#95	—	67	1	no	—
1126	#95	—	67	1	no	—
1127	#95	—	67	1	no	—
1128	#95	—	67	1	no	—
1129	#95	—	67	1	no	—
1130	#95	—	67	1	no	—
1131	#95	—	67	1	no	—
1132	#95	—	67	1	no	—
1133	#95	—	67	1	no	—
1134	#95	—	67	1	no	—
1135	#95	—	67	1	no	—
1136	#95	—	67	1	no	—
1137	#95	—	67	1	no	—
1138	#95	—	67	1	no	—
1139	#95	—	67	1	no	—
1140	#95	—	67	1	no	—
1141	#95	—	67	1	no	—
1142	#95	—	67	1	no	—
1143	#95	—	67	1	no	—
1144	#95	—	67	1	no	—
1145	#95	—	67	1	no	—
1146	#95	—	67	1	no	—
1147	#95	—	67	1	no	—
1148	#95	—	67	1	no	—
1149	#95	—	67	1	no	—
1150	#95	—	67	1	no	—
1151	#95	—	67	1	no	—
1152	#95	—	67	1	no	—
1153	#95	—	67	1	no	—
1154	#95	—	67	1	no	—
1155	C₂⁴	—	4	1	no	—
1156	C₂⁴	—	4	1	no	—
1157	C₂⁴	—	4	1	no	—
1158	C₂⁴	—	4	1	no	—
1159	C₂⁴	—	4	1	no	—
1160	C₂⁴	—	4	1	no	—
1161	C₂⁴	C₂²×Dic₆₇	1	4	yes	—
1162	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1163	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1164	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1165	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1166	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1167	C₂×Q₈	—	4	1	no	—
1168	C₂×Q₈	—	4	1	no	—
1169	C₂×Q₈	C₂²×Dic₆₇	1	4	yes	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	—	4	1	no	—
1172	C₂×D₄	—	4	1	no	—
1173	C₂×D₄	—	4	1	no	—
1174	C₂×D₄	—	4	1	no	—
1175	C₂×D₄	—	4	1	no	—
1176	C₂×D₄	—	4	1	no	—
1177	C₂×D₄	—	4	1	no	—
1178	C₂×D₄	—	4	1	no	—
1179	C₂×D₄	—	4	1	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂×D₄	C₂²×Dic₆₇	1	4	yes	—
1185	C₂×D₄	C₂²×Dic₆₇	1	4	yes	—
1186	C₂×D₄	C₂²×Dic₆₇	1	4	yes	—
1187	C₂×D₄	C₂²×Dic₆₇	1	4	yes	—
1188	C₂×D₄	C₂²×Dic₆₇	1	4	yes	—
1189	C₂×D₄	C₂²×Dic₆₇	1	4	yes	—
1190	C₂×D₄	C₂²×Dic₆₇	1	4	yes	—
1191	C₂²×C₄	—	4	1	no	—
1192	C₂²×C₄	—	4	1	no	—
1193	C₂²×C₄	—	4	1	no	—
1194	C₂²×C₄	—	4	1	no	—
1195	C₂²×C₄	—	4	1	no	—
1196	C₂²×C₄	—	4	1	no	—
1197	C₂²×C₄	—	4	1	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	268	1	no	—
1200	C₂²×C₄	—	268	1	no	—
1201	C₂²×C₄	—	268	1	no	—
1202	C₂²×C₄	—	268	1	no	—
1203	C₂²×C₄	—	268	1	no	—
1204	C₂²×C₄	—	268	1	no	—
1205	C₂²×C₄	—	268	1	no	—
1206	C₂²×C₄	—	268	1	no	—
1207	C₂²×C₄	—	268	1	no	—
1208	C₂²×C₄	—	268	1	no	—
1209	C₂²×C₄	—	268	1	no	—
1210	C₂²×C₄	—	268	1	no	—
1211	C₂²×C₄	—	268	1	no	—
1212	C₂²×C₄	—	268	1	no	—
1213	C₂²×C₄	—	268	1	no	—
1214	C₂²×C₄	—	268	1	no	—
1215	C₂²×C₄	—	268	1	no	—
1216	C₂²×C₄	—	268	1	no	—
1217	C₂²×C₄	—	268	1	no	—
1218	C₂²×C₄	—	67	1	no	—
1219	C₂²×C₄	—	67	1	no	—
1220	C₂²×C₄	—	67	1	no	—
1221	C₂²×C₄	—	67	1	no	—
1222	C₂²×C₄	—	67	1	no	—
1223	C₂²×C₄	—	67	1	no	—
1224	C₂²×C₄	—	67	1	no	—
1225	C₂²×C₄	—	67	1	no	—
1226	C₂²×C₄	—	67	1	no	—
1227	C₂²×C₄	—	67	1	no	—
1228	C₂²×C₄	—	67	1	no	—
1229	C₂²×C₄	—	67	1	no	—
1230	C₂²×C₄	—	67	1	no	—
1231	C₂²×C₄	—	67	1	no	—
1232	C₂²×C₄	—	67	1	no	—
1233	C₂²×C₄	—	67	1	no	—
1234	C₂²×C₄	—	134	2	no	—
1235	C₂²×C₄	—	134	2	no	—
1236	C₂²×C₄	—	134	2	no	—
1237	C₂²×C₄	—	134	2	no	—
1238	C₂²×C₄	—	134	2	no	—
1239	C₂²×C₄	C₂²×Dic₆₇	1	4	yes	—
1240	C₂²×C₄	C₂²×Dic₆₇	1	4	yes	—
1241	C₂²×C₄	C₂²×Dic₆₇	1	4	yes	—
1242	C₂²×C₄	C₂²×Dic₆₇	1	4	yes	—
1243	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1244	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1245	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1253	C₄⋊C₄	—	268	1	no	—
1254	C₄⋊C₄	—	268	1	no	—
1255	C₄⋊C₄	—	268	1	no	—
1256	C₄⋊C₄	—	268	1	no	—
1257	C₄⋊C₄	—	268	1	no	—
1258	C₄⋊C₄	—	268	1	no	—
1259	C₄⋊C₄	—	268	1	no	—
1260	C₄⋊C₄	—	268	1	no	—
1261	C₄⋊C₄	—	268	1	no	—
1262	C₄⋊C₄	—	268	1	no	—
1263	C₄⋊C₄	—	268	1	no	—
1264	C₄⋊C₄	—	268	1	no	—
1265	C₄⋊C₄	—	268	1	no	—
1266	C₄⋊C₄	—	268	1	no	—
1267	C₄⋊C₄	—	268	1	no	—
1268	C₄⋊C₄	—	268	1	no	—
1269	C₄⋊C₄	—	268	1	no	—
1270	C₄⋊C₄	—	134	2	no	—
1271	C₄⋊C₄	—	134	2	no	—
1272	C₄⋊C₄	—	134	2	no	—
1273	C₄⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1274	C₄⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1275	C₄⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1276	C₄⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1277	C₄⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1278	C₄⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1279	C₂²⋊C₄	—	268	1	no	—
1280	C₂²⋊C₄	—	268	1	no	—
1281	C₂²⋊C₄	—	268	1	no	—
1282	C₂²⋊C₄	—	268	1	no	—
1283	C₂²⋊C₄	—	268	1	no	—
1284	C₂²⋊C₄	—	268	1	no	—
1285	C₂²⋊C₄	—	268	1	no	—
1286	C₂²⋊C₄	—	268	1	no	—
1287	C₂²⋊C₄	—	268	1	no	—
1288	C₂²⋊C₄	—	268	1	no	—
1289	C₂²⋊C₄	—	268	1	no	—
1290	C₂²⋊C₄	—	268	1	no	—
1291	C₂²⋊C₄	—	268	1	no	—
1292	C₂²⋊C₄	—	268	1	no	—
1293	C₂²⋊C₄	—	268	1	no	—
1294	C₂²⋊C₄	—	268	1	no	—
1295	C₂²⋊C₄	—	268	1	no	—
1296	C₂²⋊C₄	—	268	1	no	—
1297	C₂²⋊C₄	—	268	1	no	—
1298	C₂²⋊C₄	—	268	1	no	—
1299	C₂²⋊C₄	—	268	1	no	—
1300	C₂²⋊C₄	—	268	1	no	—
1301	C₂²⋊C₄	—	268	1	no	—
1302	C₂²⋊C₄	—	268	1	no	—
1303	C₂²⋊C₄	—	268	1	no	—
1304	C₂²⋊C₄	—	268	1	no	—
1305	C₂²⋊C₄	—	268	1	no	—
1306	C₂²⋊C₄	—	134	2	no	—
1307	C₂²⋊C₄	—	134	2	no	—
1308	C₂²⋊C₄	—	134	2	no	—
1309	C₂²⋊C₄	—	134	2	no	—
1310	C₂²⋊C₄	—	134	2	no	—
1311	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1312	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1313	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1314	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1315	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1316	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1317	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1318	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1319	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1320	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1321	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1322	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1323	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1324	C₂²⋊C₄	C₂²×Dic₆₇	1	4	yes	—
1325	C₄²	—	268	1	no	—
1326	C₄²	—	268	1	no	—
1327	C₄²	—	268	1	no	—
1328	C₄²	—	268	1	no	—
1329	C₄²	—	268	1	no	—
1330	C₄²	—	268	1	no	—
1331	C₄²	—	268	1	no	—
1332	C₄²	—	268	1	no	—
1333	C₄²	—	268	1	no	—
1334	C₄²	—	268	1	no	—
1335	C₄²	—	268	1	no	—
1336	C₄²	—	268	1	no	—
1337	C₄²	—	268	1	no	—
1338	C₄²	—	268	1	no	—
1339	C₄²	—	268	1	no	—
1340	C₄²	—	134	2	no	—
1341	C₄²	—	134	2	no	—
1342	C₄²	—	134	2	no	—
1343	C₄²	—	134	2	no	—
1344	C₄²	—	134	2	no	—
1345	C₄²	C₂²×Dic₆₇	1	4	yes	—
1346	C₄²	C₂²×Dic₆₇	1	4	yes	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	4	4	no	—
1378	C₂³	—	4	4	no	—
1379	C₂³	—	4	4	no	—
1380	C₂³	—	8	2	no	—
1381	C₂³	—	8	2	no	—
1382	C₂³	—	8	2	no	—
1383	C₂³	—	8	2	no	—
1384	C₂³	C₂³×Dic₆₇	1	2	yes	—
1385	C₂³	C₂³×Dic₆₇	1	2	yes	—
1386	C₂³	C₂³×Dic₆₇	1	2	yes	—
1387	C₂³	C₂³×Dic₆₇	1	2	yes	—
1388	C₂³	C₂³×Dic₆₇	1	2	yes	—
1389	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1390	Q₈	—	4	4	no	—
1391	D₄	—	4	4	no	—
1392	D₄	—	4	4	no	—
1393	D₄	—	4	4	no	—
1394	D₄	—	4	4	no	—
1395	D₄	—	4	4	no	—
1396	D₄	—	4	4	no	—
1397	D₄	—	4	4	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	4	4	no	—
1419	C₂×C₄	—	4	4	no	—
1420	C₂×C₄	—	4	4	no	—
1421	C₂×C₄	—	4	4	no	—
1422	C₂×C₄	—	268	4	no	—
1423	C₂×C₄	—	268	4	no	—
1424	C₂×C₄	—	536	2	no	—
1425	C₂×C₄	—	536	2	no	—
1426	C₂×C₄	—	536	2	no	—
1427	C₂×C₄	—	536	2	no	—
1428	C₂×C₄	—	536	2	no	—
1429	C₂×C₄	—	536	2	no	—
1430	C₂×C₄	—	67	2	no	—
1431	C₂×C₄	—	67	2	no	—
1432	C₂×C₄	—	134	1	no	—
1433	C₂×C₄	—	134	1	no	—
1434	C₂×C₄	—	134	1	no	—
1435	C₂×C₄	—	134	1	no	—
1436	C₂×C₄	—	134	1	no	—
1437	C₂×C₄	—	134	1	no	—
1438	C₂×C₄	—	134	1	no	—
1439	C₂×C₄	—	134	1	no	—
1440	C₂×C₄	—	134	1	no	—
1441	C₂×C₄	—	134	1	no	—
1442	C₂×C₄	—	134	1	no	—
1443	C₂×C₄	—	134	1	no	—
1444	C₂×C₄	—	134	1	no	—
1445	C₂×C₄	—	134	1	no	—
1446	C₂×C₄	—	134	1	no	—
1447	C₂×C₄	—	134	1	no	—
1448	C₂×C₄	—	134	1	no	—
1449	C₂×C₄	—	134	1	no	—
1450	C₂×C₄	—	134	1	no	—
1451	C₂×C₄	—	134	1	no	—
1452	C₂×C₄	—	134	1	no	—
1453	C₂×C₄	—	134	1	no	—
1454	C₂×C₄	—	134	1	no	—
1455	C₂×C₄	—	134	1	no	—
1456	C₂×C₄	—	134	1	no	—
1457	C₂×C₄	—	134	1	no	—
1458	C₂×C₄	—	134	1	no	—
1459	C₂×C₄	—	134	1	no	—
1460	C₂×C₄	—	134	1	no	—
1461	C₂×C₄	—	134	1	no	—
1462	C₂×C₄	—	134	1	no	—
1463	C₂×C₄	—	134	1	no	—
1464	C₂×C₄	—	134	1	no	—
1465	C₂×C₄	—	134	1	no	—
1466	C₂×C₄	—	134	1	no	—
1467	C₂×C₄	—	134	1	no	—
1468	C₂×C₄	—	134	1	no	—
1469	C₂×C₄	—	134	1	no	—
1470	C₂×C₄	—	134	1	no	—
1471	C₂×C₄	—	134	1	no	—
1472	C₂×C₄	—	134	1	no	—
1473	C₂×C₄	—	134	1	no	—
1474	C₂×C₄	—	134	1	no	—
1475	C₂×C₄	—	134	1	no	—
1476	C₂×C₄	—	134	1	no	—
1477	C₂×C₄	—	134	1	no	—
1478	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1479	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1480	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1481	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1482	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1483	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1484	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1485	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1486	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1487	C₂×C₄	C₂³×Dic₆₇	1	2	yes	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	8	8	no	—
1524	C₂²	C₂⁴×Dic₆₇	1	1	yes	characteristic
1525	C₂²	H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1526	C₂²	H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1527	C₂²	#16864231	1	1	yes	characteristic
1528	C₂²	#16864231	1	1	yes	characteristic
1529	C₂²	#16864232	1	1	yes	characteristic
1530	C₂²	#16864232	1	1	yes	characteristic
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	2	2	no	—
1538	C₄	—	2	2	no	—
1539	C₄	—	2	2	no	—
1540	C₄	—	2	2	no	—
1541	C₄	—	268	1	no	—
1542	C₄	—	268	1	no	—
1543	C₄	—	268	1	no	—
1544	C₄	—	268	1	no	—
1545	C₄	—	268	1	no	—
1546	C₄	—	268	1	no	—
1547	C₄	—	268	1	no	—
1548	C₄	—	268	1	no	—
1549	C₄	—	268	1	no	—
1550	C₄	—	268	1	no	—
1551	C₄	—	268	1	no	—
1552	C₄	—	268	1	no	—
1553	C₄	—	268	1	no	—
1554	C₄	—	268	1	no	—
1555	C₄	—	134	2	no	—
1556	C₄	—	134	2	no	—
1557	C₂	—	4	2	no	—
1558	C₂	—	4	2	no	—
1559	C₂	—	4	2	no	—
1560	C₂	—	4	2	no	—
1561	C₂	—	4	2	no	—
1562	C₂	#22573412	1	1	yes	characteristic
1563	C₂	H(5,𝔽₂)×Dic₆₇	1	1	yes	characteristic
1564	C₂	H(5,𝔽₂)×Dic₆₇	1	1	yes	characteristic
1565	C₂	#22574376	1	1	yes	characteristic
1566	C₂	#22574524	1	1	yes	characteristic
1567	C₂	#22574626	1	1	yes	characteristic
1568	C₂	#22574902	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₆₇
commutator	C₂²×C₆₇	C₂⁴×C₄
Fitting, prime radical	C₂×#538×C₆₇	C₂
socle, cosocle	C₂³×C₆₇	C₂⁵
hypercenter	C₂×#538	D₆₇
hypocenter	C₆₇	#34451
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#538

Complements

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

N	H ≅ G/N	type
1. #22563401	C₂	semidirect
2. #22563375	C₂	semidirect
3. #22563357	C₂	semidirect
4. #22563350	C₂	semidirect
5. #22563333	C₂	semidirect
6. #22563333	C₂	semidirect
7. #22563333	C₂	semidirect
8. #22563321	C₂	semidirect
9. #22563284	C₂	semidirect
10. #22563240	C₂	semidirect
11. #22563205	C₂	semidirect
12. #22563193	C₂	semidirect
13. #22563158	C₂	semidirect
14. #22563149	C₂	semidirect
15. #22563058	C₂	semidirect
16. #22563058	C₂	semidirect
17. #22563024	C₂	semidirect
18. #22563003	C₂	semidirect
19. #22562976	C₂	semidirect
20. #22562976	C₂	semidirect
21. #22562922	C₂	semidirect
22. #22562914	C₂	semidirect
23. #22562904	C₂	semidirect
24. #22562904	C₂	semidirect
25. #22562870	C₂	semidirect
26. #22562870	C₂	semidirect
27. #22562852	C₂	semidirect
28. #123×Dic₆₇	C₂	semidirect
29. #121×Dic₆₇	C₂	semidirect
30. #22562654	C₂	semidirect
32. C₂×Q₈×Dic₆₇	C₂²	semidirect
37. C₂×D₄×Dic₆₇	C₂²	semidirect
40. C₂×#14524002	C₂²	semidirect
43. C₂²×C₄×Dic₆₇	C₂²	semidirect
44. #16863303	C₂²	semidirect
45. #16863303	C₂²	semidirect
46. #16863303	C₂²	semidirect
55. #16863299	C₂²	semidirect
56. #16863295	C₂²	semidirect
57. #16863295	C₂²	semidirect
58. #16863295	C₂²	semidirect
59. #16863295	C₂²	semidirect
60. #16863295	C₂²	semidirect
61. #16863295	C₂²	semidirect
86. #16863289	C₂²	semidirect
87. #16863289	C₂²	semidirect
88. #16863289	C₂²	semidirect
89. #16863289	C₂²	semidirect
90. #16863289	C₂²	semidirect
91. #16863289	C₂²	semidirect
92. #16863289	C₂²	semidirect
93. #16863289	C₂²	semidirect
94. #16863282	C₂²	semidirect
95. #16863282	C₂²	semidirect
96. #16863282	C₂²	semidirect
97. #16863282	C₂²	semidirect
98. #16863282	C₂²	semidirect
99. #16863282	C₂²	semidirect
100. #16863282	C₂²	semidirect
101. #16863282	C₂²	semidirect
102. #16863282	C₂²	semidirect
103. #16863282	C₂²	semidirect
104. #16863282	C₂²	semidirect
105. #16863282	C₂²	semidirect
118. #16863276	C₂²	semidirect
119. #16863276	C₂²	semidirect
128. #16863271	C₂²	semidirect
129. #16863271	C₂²	semidirect
130. #16863271	C₂²	semidirect
131. #16863271	C₂²	semidirect
132. #16863266	C₂²	semidirect
133. #16863264	C₂²	semidirect
136. #16863259	C₂²	semidirect
139. #16863256	C₂²	semidirect
140. #16863256	C₂²	semidirect
141. #16863256	C₂²	semidirect
144. C₄⋊C₄×Dic₆₇	C₂²	semidirect
145. C₄⋊C₄×Dic₆₇	C₂²	semidirect
146. C₄⋊C₄×Dic₆₇	C₂²	semidirect
147. C₄⋊C₄×Dic₆₇	C₂²	semidirect
148. C₄⋊C₄×Dic₆₇	C₂²	semidirect
149. C₄⋊C₄×Dic₆₇	C₂²	semidirect
150. C₄×C₄⋊Dic₆₇	C₂²	semidirect
151. C₄×C₄⋊Dic₆₇	C₂²	semidirect
152. C₄×C₄⋊Dic₆₇	C₂²	semidirect
161. C₂²⋊C₄×Dic₆₇	C₂²	semidirect
162. C₂²⋊C₄×Dic₆₇	C₂²	semidirect
163. C₂²⋊C₄×Dic₆₇	C₂²	semidirect
164. C₂²⋊C₄×Dic₆₇	C₂²	semidirect
167. C₄×C₂²⋊Dic₆₇	C₂²	semidirect
168. #16863242	C₂²	semidirect
169. #16863242	C₂²	semidirect
170. #16863242	C₂²	semidirect
171. C₂×C₆₇⋊#95	C₂²	semidirect
172. #538×C₆₇	C₄	semidirect
333. #126×C₆₇	C₂×C₄	semidirect
334. #126×C₆₇	C₂×C₄	semidirect
335. #124×C₆₇	C₂×C₄	semidirect
336. #124×C₆₇	C₂×C₄	semidirect
337. #123×C₆₇	C₂×C₄	semidirect
338. #123×C₆₇	C₂×C₄	semidirect
339. C₂²⋊Q₈×C₆₇	C₂×C₄	semidirect
340. #121×C₆₇	C₂×C₄	semidirect
341. #121×C₆₇	C₂×C₄	semidirect
342. #121×C₆₇	C₂×C₄	semidirect
343. #120×C₆₇	C₂×C₄	semidirect
344. #120×C₆₇	C₂×C₄	semidirect
345. C₄×D₄×C₆₇	C₂×C₄	semidirect
346. C₄×D₄×C₆₇	C₂×C₄	semidirect
353. C₂×C₂²⋊C₄×C₆₇	C₂×C₄	semidirect
816. C₆₇	#34451	semidirect
817. #538	Dic₆₇	semidirect
994. #126	C₂×Dic₆₇	semidirect
995. #126	C₂×Dic₆₇	semidirect
996. #124	C₂×Dic₆₇	semidirect
997. #124	C₂×Dic₆₇	semidirect
998. #123	C₂×Dic₆₇	semidirect
999. #123	C₂×Dic₆₇	semidirect
1000. C₂²⋊Q₈	C₂×Dic₆₇	semidirect
1001. #121	C₂×Dic₆₇	semidirect
1002. #121	C₂×Dic₆₇	semidirect
1003. #121	C₂×Dic₆₇	semidirect
1004. #120	C₂×Dic₆₇	semidirect
1005. #120	C₂×Dic₆₇	semidirect
1012. C₄×D₄	C₂×Dic₆₇	semidirect
1013. C₄×D₄	C₂×Dic₆₇	semidirect
1077. C₂×C₂²⋊C₄	C₂×Dic₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22563401	2
#22563375	2
#22563357	2
#22563350	2
#22563333	2
#22563321	2
#22563284	2
#22563240	2
#22563205	2
#22563193	2
#22563158	2
#22563149	2
#22563058	2
#22563024	2
#22563003	2
#22562976	2
#22562922	2
#22562914	2
#22562904	2
#22562870	2
#22562852	2
#123×Dic₆₇	2
#121×Dic₆₇	2
#22562654	2
C₂×#538×C₆₇	2
#34451	67