Subgroups — #2334×D₆₇ #31014701

Order 17152.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#126×D₆₇	C₂	1	1	yes	maximal, characteristic
2	#22562991	C₂	1	1	yes	maximal, characteristic, complemented
3	#22562990	C₂	1	1	yes	maximal, characteristic, complemented
4	#22562989	C₂	1	1	yes	maximal, characteristic, complemented
5	#22562988	C₂	1	1	yes	maximal, characteristic, complemented
6	#22562987	C₂	1	1	yes	maximal, characteristic, complemented
7	#22562986	C₂	1	1	yes	maximal, characteristic, complemented
8	#22562985	C₂	1	1	yes	maximal, characteristic, complemented
9	#22562984	C₂	1	1	yes	maximal, characteristic, complemented
10	#22562983	C₂	1	1	yes	maximal, characteristic, complemented
11	#22562982	C₂	1	1	yes	maximal, characteristic, complemented
12	#22562981	C₂	1	1	yes	maximal, characteristic, complemented
13	#22562980	C₂	1	1	yes	maximal, characteristic, complemented
14	#22562979	C₂	1	1	yes	maximal, characteristic, complemented
15	#22562978	C₂	1	1	yes	maximal, characteristic, complemented
16	#22562977	C₂	1	1	yes	maximal, characteristic, complemented
17	#389×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
18	#389×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
19	#388×D₆₇	C₂	1	1	yes	maximal, characteristic
20	#388×D₆₇	C₂	1	1	yes	maximal, characteristic
21	#388×D₆₇	C₂	1	1	yes	maximal, characteristic
22	#387×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
23	#387×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
24	#387×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
25	#385×D₆₇	C₂	1	1	yes	maximal, characteristic
26	#385×D₆₇	C₂	1	1	yes	maximal, characteristic
27	#382×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×C₄⋊C₄×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₄⋊C₄×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₆₇	C₂	1	1	yes	maximal, characteristic
31	C₆₇×#2334	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
33	C₂×#14524038	C₂²	1	1	yes	characteristic
34	C₂×#14524038	C₂²	1	1	yes	characteristic
35	C₂×#14524038	C₂²	1	1	yes	characteristic
36	C₂×#14524037	C₂²	1	1	yes	characteristic
37	C₂×#14524036	C₂²	1	1	yes	characteristic
38	C₂×#14524036	C₂²	1	1	yes	characteristic
39	C₂×#14524036	C₂²	1	1	yes	characteristic
40	#126×D₆₇	C₄	1	16	yes	complemented
41	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
43	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
44	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
47	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
48	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
49	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
50	C₂×C₄⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
53	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
54	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₆₇	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic
58	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic
59	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic
60	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic
61	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic
62	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic
63	#16863295	C₂²	1	1	yes	characteristic, complemented
64	#16863295	C₂²	1	1	yes	characteristic, complemented
65	#16863294	C₂²	1	1	yes	characteristic, complemented
66	#16863294	C₂²	1	1	yes	characteristic, complemented
67	#16863293	C₂²	1	1	yes	characteristic, complemented
68	#16863293	C₂²	1	1	yes	characteristic, complemented
69	#16863293	C₂²	1	1	yes	characteristic, complemented
70	#16863293	C₂²	1	1	yes	characteristic, complemented
71	#16863292	C₂²	1	1	yes	characteristic, complemented
72	#16863292	C₂²	1	1	yes	characteristic, complemented
73	#16863291	C₂²	1	1	yes	characteristic, complemented
74	#16863291	C₂²	1	1	yes	characteristic, complemented
75	#16863291	C₂²	1	1	yes	characteristic, complemented
76	#16863291	C₂²	1	1	yes	characteristic, complemented
77	#16863290	C₂²	1	1	yes	characteristic
78	#16863290	C₂²	1	1	yes	characteristic
79	#16863290	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	#16863288	C₂²	1	1	yes	characteristic
84	#16863288	C₂²	1	1	yes	characteristic
85	#16863288	C₂²	1	1	yes	characteristic
86	#16863287	C₂²	1	1	yes	characteristic
87	#16863287	C₂²	1	1	yes	characteristic
88	#16863287	C₂²	1	1	yes	characteristic
89	#16863286	C₂²	1	1	yes	characteristic
90	#16863286	C₂²	1	1	yes	characteristic
91	#16863286	C₂²	1	1	yes	characteristic
92	#16863285	C₂²	1	1	yes	characteristic
93	#16863285	C₂²	1	1	yes	characteristic
94	#16863285	C₂²	1	1	yes	characteristic
95	#16863284	C₂²	1	1	yes	characteristic
96	#16863284	C₂²	1	1	yes	characteristic
97	#16863284	C₂²	1	1	yes	characteristic
98	#16863283	C₂²	1	1	yes	characteristic, complemented
99	#16863283	C₂²	1	1	yes	characteristic, complemented
100	#16863283	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	#16863281	C₂²	1	1	yes	characteristic, complemented
105	#16863281	C₂²	1	1	yes	characteristic, complemented
106	#16863281	C₂²	1	1	yes	characteristic, complemented
107	#16863280	C₂²	1	1	yes	characteristic, complemented
108	#16863280	C₂²	1	1	yes	characteristic, complemented
109	#16863280	C₂²	1	1	yes	characteristic, complemented
110	#16863279	C₂²	1	1	yes	characteristic, complemented
111	#16863279	C₂²	1	1	yes	characteristic, complemented
112	#16863279	C₂²	1	1	yes	characteristic, complemented
113	#16863278	C₂²	1	1	yes	characteristic, complemented
114	#16863278	C₂²	1	1	yes	characteristic, complemented
115	#16863278	C₂²	1	1	yes	characteristic, complemented
116	#16863277	C₂²	1	1	yes	characteristic, complemented
117	#16863277	C₂²	1	1	yes	characteristic, complemented
118	#16863277	C₂²	1	1	yes	characteristic, complemented
119	#16863271	C₂²	1	1	yes	characteristic
120	#16863271	C₂²	1	1	yes	characteristic
121	#16863270	C₂²	1	1	yes	characteristic
122	#16863270	C₂²	1	1	yes	characteristic
123	#16863270	C₂²	1	1	yes	characteristic
124	#16863270	C₂²	1	1	yes	characteristic
125	#16863269	C₂²	1	1	yes	characteristic
126	#16863269	C₂²	1	1	yes	characteristic
127	#16863268	C₂²	1	1	yes	characteristic
128	#16863268	C₂²	1	1	yes	characteristic
129	#16863267	C₂²	1	1	yes	characteristic
130	#16863267	C₂²	1	1	yes	characteristic
131	#16863267	C₂²	1	1	yes	characteristic
132	#16863267	C₂²	1	1	yes	characteristic
133	#16863262	C₂²	1	1	yes	characteristic, complemented
134	#16863261	C₂²	1	1	yes	characteristic, complemented
135	#16863261	C₂²	1	1	yes	characteristic, complemented
136	#16863260	C₂²	1	1	yes	characteristic, complemented
137	#16863260	C₂²	1	1	yes	characteristic, complemented
138	#16863260	C₂²	1	1	yes	characteristic, complemented
139	#16863260	C₂²	1	1	yes	characteristic, complemented
140	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
141	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
142	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
143	C₄⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
144	C₄×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
145	C₄×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
146	C₄×Dic₆₇⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₄×Dic₆₇⋊C₄	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	#16863247	C₂²	1	1	yes	characteristic, complemented
151	#16863247	C₂²	1	1	yes	characteristic, complemented
152	#16863247	C₂²	1	1	yes	characteristic, complemented
153	#16863247	C₂²	1	1	yes	characteristic, complemented
154	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×Dic₆₇	C₂²	1	1	yes	characteristic
156	C₄×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
159	#16863243	C₂²	1	1	yes	characteristic
160	#16863243	C₂²	1	1	yes	characteristic
161	#95×D₆₇	C₂²	1	1	yes	characteristic
162	#95×D₆₇	C₂²	1	1	yes	characteristic
163	#95×D₆₇	C₂²	1	1	yes	characteristic
164	#95×D₆₇	C₂²	1	1	yes	characteristic
165	#95×D₆₇	C₂²	1	1	yes	characteristic
166	#95×D₆₇	C₂²	1	1	yes	characteristic
167	#95×D₆₇	C₂²	1	1	yes	characteristic
168	#95×D₆₇	C₂²	1	1	yes	characteristic
169	#95×D₆₇	C₂²	1	1	yes	characteristic
170	#95×D₆₇	C₂²	1	1	yes	characteristic
171	#95×D₆₇	C₂²	1	1	yes	characteristic
172	#95×D₆₇	C₂²	1	1	yes	characteristic
173	C₂×#126×C₆₇	C₂²	1	1	yes	characteristic
174	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
175	#389×C₆₇	C₂²	1	1	yes	characteristic, complemented
176	#388×C₆₇	C₂²	1	1	yes	characteristic
177	#388×C₆₇	C₂²	1	1	yes	characteristic
178	#388×C₆₇	C₂²	1	1	yes	characteristic
179	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
180	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
181	#387×C₆₇	C₂²	1	1	yes	characteristic, complemented
182	#385×C₆₇	C₂²	1	1	yes	characteristic
183	#385×C₆₇	C₂²	1	1	yes	characteristic
184	#382×C₆₇	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
188	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
189	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₆₇	—	2	4	no	—
191	C₂²×C₄×D₆₇	—	4	2	no	—
192	C₂²×C₄×D₆₇	—	4	2	no	—
193	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
209	#14524038	C₂×C₄	1	8	yes	complemented
210	#14524038	C₂×C₄	1	8	yes	complemented
211	#14524038	C₂×C₄	1	8	yes	complemented
212	#14524037	C₂×C₄	1	8	yes	complemented
213	#14524036	C₂×C₄	1	8	yes	complemented
214	#14524036	C₂×C₄	1	8	yes	complemented
215	#14524036	C₂×C₄	1	8	yes	complemented
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×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
226	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₄⋊C₄×D₆₇	—	2	4	no	—
247	C₄⋊C₄×D₆₇	—	2	4	no	—
248	C₄⋊C₄×D₆₇	—	2	4	no	—
249	C₄⋊C₄×D₆₇	—	4	2	no	—
250	C₄⋊C₄×D₆₇	—	4	2	no	—
251	C₄⋊C₄×D₆₇	—	4	2	no	—
252	C₄⋊C₄×D₆₇	—	4	2	no	—
253	C₄⋊C₄×D₆₇	C₂×C₄	1	8	yes	complemented
254	C₄⋊C₄×D₆₇	C₂×C₄	1	8	yes	complemented
255	C₄⋊C₄×D₆₇	C₂×C₄	1	8	yes	complemented
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×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂²⋊C₄×D₆₇	—	2	4	no	—
275	C₂²⋊C₄×D₆₇	—	4	2	no	—
276	C₂²⋊C₄×D₆₇	—	4	2	no	—
277	C₂²⋊C₄×D₆₇	C₂×C₄	1	8	yes	—
278	C₂²⋊C₄×D₆₇	C₂×C₄	1	8	yes	—
279	C₂²⋊C₄×D₆₇	C₂×C₄	1	8	yes	—
280	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
298	C₄²×D₆₇	—	2	4	no	—
299	C₄²×D₆₇	—	4	2	no	—
300	C₄²×D₆₇	—	4	2	no	—
301	C₄²×D₆₇	—	4	2	no	—
302	C₄²×D₆₇	—	4	2	no	—
303	C₄²×D₆₇	C₂×C₄	1	8	yes	complemented
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	C₆₇⋊#95	C₂³	1	1	yes	characteristic
321	C₆₇⋊#95	C₂³	1	1	yes	characteristic
322	C₆₇⋊#95	C₂³	1	1	yes	characteristic
323	C₆₇⋊#95	C₂³	1	1	yes	characteristic
324	C₆₇⋊#95	C₂³	1	1	yes	characteristic
325	C₆₇⋊#95	C₂³	1	1	yes	characteristic
326	C₆₇⋊#95	C₂³	1	1	yes	characteristic
327	C₆₇⋊#95	C₂³	1	1	yes	characteristic
328	C₆₇⋊#95	C₂³	1	1	yes	characteristic
329	C₆₇⋊#95	C₂³	1	1	yes	characteristic
330	C₆₇⋊#95	C₂³	1	1	yes	characteristic
331	C₆₇⋊#95	C₂³	1	1	yes	characteristic
332	C₆₇⋊#95	C₂³	1	1	yes	characteristic
333	C₆₇⋊#95	C₂³	1	1	yes	characteristic
334	C₆₇⋊#95	C₂³	1	1	yes	characteristic
335	C₆₇⋊#95	C₂³	1	1	yes	characteristic
336	C₆₇⋊#95	C₂³	1	1	yes	characteristic
337	C₆₇⋊#95	C₂³	1	1	yes	characteristic
338	C₆₇⋊#95	C₂³	1	1	yes	characteristic
339	C₆₇⋊#95	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
341	#126×C₆₇	C₂×C₄	1	8	yes	complemented
342	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
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×C₄²×C₆₇	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
364	#95×C₆₇	C₂³	1	1	yes	characteristic
365	#95×C₆₇	C₂³	1	1	yes	characteristic
366	#95×C₆₇	C₂³	1	1	yes	characteristic
367	#95×C₆₇	C₂³	1	1	yes	characteristic
368	#95×C₆₇	C₂³	1	1	yes	characteristic
369	#95×C₆₇	C₂³	1	1	yes	characteristic
370	#95×C₆₇	C₂³	1	1	yes	characteristic
371	#95×C₆₇	C₂³	1	1	yes	characteristic
372	#95×C₆₇	C₂³	1	1	yes	characteristic
373	#95×C₆₇	C₂³	1	1	yes	characteristic
374	#95×C₆₇	C₂³	1	1	yes	characteristic
375	#95×C₆₇	C₂³	1	1	yes	characteristic
376	C₂³×D₆₇	—	2	2	no	—
377	C₂³×D₆₇	—	2	2	no	—
378	C₂³×D₆₇	—	2	2	no	—
379	C₂³×D₆₇	—	2	2	no	—
380	C₂³×D₆₇	—	2	2	no	—
381	C₂³×D₆₇	—	2	2	no	—
382	C₂³×D₆₇	C₂²×C₄	1	4	yes	—
383	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
384	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₆₇	—	2	2	no	—
386	C₂²×Dic₆₇	—	4	1	no	—
387	C₂²×Dic₆₇	—	4	1	no	—
388	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₆₇	—	2	2	no	—
403	C₂×C₄×D₆₇	—	2	2	no	—
404	C₂×C₄×D₆₇	—	2	2	no	—
405	C₂×C₄×D₆₇	—	2	2	no	—
406	C₂×C₄×D₆₇	—	2	2	no	—
407	C₂×C₄×D₆₇	—	2	2	no	—
408	C₂×C₄×D₆₇	—	2	2	no	—
409	C₂×C₄×D₆₇	—	2	2	no	—
410	C₂×C₄×D₆₇	—	2	2	no	—
411	C₂×C₄×D₆₇	—	2	2	no	—
412	C₂×C₄×D₆₇	—	2	2	no	—
413	C₂×C₄×D₆₇	—	2	2	no	—
414	C₂×C₄×D₆₇	—	2	2	no	—
415	C₂×C₄×D₆₇	—	2	2	no	—
416	C₂×C₄×D₆₇	—	2	2	no	—
417	C₂×C₄×D₆₇	—	2	2	no	—
418	C₂×C₄×D₆₇	—	2	2	no	—
419	C₂×C₄×D₆₇	—	2	2	no	—
420	C₂×C₄×D₆₇	—	2	2	no	—
421	C₂×C₄×D₆₇	—	2	2	no	—
422	C₂×C₄×D₆₇	—	2	2	no	—
423	C₂×C₄×D₆₇	—	2	2	no	—
424	C₂×C₄×D₆₇	—	2	2	no	—
425	C₂×C₄×D₆₇	—	2	2	no	—
426	C₂×C₄×D₆₇	—	2	2	no	—
427	C₂×C₄×D₆₇	—	2	2	no	—
428	C₂×C₄×D₆₇	—	2	2	no	—
429	C₂×C₄×D₆₇	—	2	2	no	—
430	C₂×C₄×D₆₇	—	2	2	no	—
431	C₂×C₄×D₆₇	—	2	2	no	—
432	C₂×C₄×D₆₇	—	2	2	no	—
433	C₂×C₄×D₆₇	—	2	2	no	—
434	C₂×C₄×D₆₇	—	2	2	no	—
435	C₂×C₄×D₆₇	—	2	2	no	—
436	C₂×C₄×D₆₇	—	2	2	no	—
437	C₂×C₄×D₆₇	—	2	2	no	—
438	C₂×C₄×D₆₇	—	4	16	no	—
439	C₂×C₄×D₆₇	—	4	1	no	—
440	C₂×C₄×D₆₇	—	4	1	no	—
441	C₂×C₄×D₆₇	—	4	1	no	—
442	C₂×C₄×D₆₇	—	4	1	no	—
443	C₂×C₄×D₆₇	C₂²×C₄	1	4	yes	—
444	C₂×C₄×D₆₇	C₂²×C₄	1	4	yes	—
445	C₂×C₄×D₆₇	C₂²×C₄	1	4	yes	—
446	C₂×C₄×D₆₇	C₂²×C₄	1	4	yes	—
447	C₂×C₄×D₆₇	C₂²×C₄	1	4	yes	—
448	C₂×C₄×D₆₇	C₂²×C₄	1	4	yes	—
449	C₂×C₄×D₆₇	#41	1	4	yes	—
450	C₂×C₄×D₆₇	#41	1	4	yes	—
451	C₄⋊Dic₆₇	—	2	2	no	—
452	C₄⋊Dic₆₇	—	2	2	no	—
453	C₄⋊Dic₆₇	—	2	2	no	—
454	C₄⋊Dic₆₇	—	4	1	no	—
455	C₄⋊Dic₆₇	—	4	1	no	—
456	C₄⋊Dic₆₇	—	4	1	no	—
457	C₄⋊Dic₆₇	—	4	1	no	—
458	C₄⋊Dic₆₇	C₂²×C₄	1	4	yes	complemented
459	C₄⋊Dic₆₇	C₂²×C₄	1	4	yes	complemented
460	C₄⋊Dic₆₇	C₂²×C₄	1	4	yes	complemented
461	Dic₆₇⋊C₄	—	2	2	no	—
462	Dic₆₇⋊C₄	—	2	2	no	—
463	Dic₆₇⋊C₄	—	2	2	no	—
464	Dic₆₇⋊C₄	—	2	2	no	—
465	Dic₆₇⋊C₄	—	2	2	no	—
466	Dic₆₇⋊C₄	—	2	2	no	—
467	Dic₆₇⋊C₄	—	4	1	no	—
468	Dic₆₇⋊C₄	—	4	1	no	—
469	Dic₆₇⋊C₄	—	4	1	no	—
470	Dic₆₇⋊C₄	—	4	1	no	—
471	Dic₆₇⋊C₄	—	4	1	no	—
472	Dic₆₇⋊C₄	—	4	1	no	—
473	Dic₆₇⋊C₄	—	4	1	no	—
474	Dic₆₇⋊C₄	—	4	1	no	—
475	Dic₆₇⋊C₄	C₂²×C₄	1	4	yes	complemented
476	Dic₆₇⋊C₄	C₂²×C₄	1	4	yes	complemented
477	Dic₆₇⋊C₄	C₂²×C₄	1	4	yes	complemented
478	Dic₆₇⋊C₄	C₂²×C₄	1	4	yes	complemented
479	Dic₆₇⋊C₄	C₂²×C₄	1	4	yes	complemented
480	Dic₆₇⋊C₄	C₂²×C₄	1	4	yes	complemented
481	C₂²⋊Dic₆₇	—	2	2	no	—
482	C₂²⋊Dic₆₇	—	4	1	no	—
483	C₂²⋊Dic₆₇	—	4	1	no	—
484	C₂²⋊Dic₆₇	C₂²×C₄	1	4	yes	—
485	C₂²⋊Dic₆₇	C₂²×C₄	1	4	yes	—
486	C₂²⋊Dic₆₇	C₂²×C₄	1	4	yes	—
487	(C₂×D₆₇)⋊C₄	—	2	2	no	—
488	(C₂×D₆₇)⋊C₄	—	2	2	no	—
489	(C₂×D₆₇)⋊C₄	—	4	1	no	—
490	(C₂×D₆₇)⋊C₄	—	4	1	no	—
491	(C₂×D₆₇)⋊C₄	—	4	1	no	—
492	(C₂×D₆₇)⋊C₄	—	4	1	no	—
493	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	4	yes	—
494	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	4	yes	—
495	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	4	yes	—
496	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	4	yes	—
497	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	4	yes	—
498	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	4	yes	—
499	C₄×Dic₆₇	—	2	2	no	—
500	C₄×Dic₆₇	—	2	2	no	—
501	C₄×Dic₆₇	—	2	2	no	—
502	C₄×Dic₆₇	—	4	1	no	—
503	C₄×Dic₆₇	—	4	1	no	—
504	C₄×Dic₆₇	—	4	1	no	—
505	C₄×Dic₆₇	—	4	1	no	—
506	C₄×Dic₆₇	—	4	1	no	—
507	C₄×Dic₆₇	—	4	1	no	—
508	C₄×Dic₆₇	—	4	1	no	—
509	C₄×Dic₆₇	—	4	1	no	—
510	C₄×Dic₆₇	—	4	1	no	—
511	C₄×Dic₆₇	—	4	1	no	—
512	C₄×Dic₆₇	—	4	1	no	—
513	C₄×Dic₆₇	—	4	1	no	—
514	C₄×Dic₆₇	C₂²×C₄	1	4	yes	complemented
515	C₄×Dic₆₇	C₂²×C₄	1	4	yes	complemented
516	C₄×Dic₆₇	C₂²×C₄	1	4	yes	complemented
517	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₆₇	—	2	2	no	—
519	C₂²×C₄×C₆₇	—	4	1	no	—
520	C₂²×C₄×C₆₇	—	4	1	no	—
521	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₆₇	—	2	2	no	—
536	C₄⋊C₄×C₆₇	—	2	2	no	—
537	C₄⋊C₄×C₆₇	—	2	2	no	—
538	C₄⋊C₄×C₆₇	—	4	1	no	—
539	C₄⋊C₄×C₆₇	—	4	1	no	—
540	C₄⋊C₄×C₆₇	—	4	1	no	—
541	C₄⋊C₄×C₆₇	—	4	1	no	—
542	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	complemented
543	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	complemented
544	C₄⋊C₄×C₆₇	C₂²×C₄	1	4	yes	complemented
545	C₂²⋊C₄×C₆₇	—	2	2	no	—
546	C₂²⋊C₄×C₆₇	—	4	1	no	—
547	C₂²⋊C₄×C₆₇	—	4	1	no	—
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	C₄²×C₆₇	—	2	2	no	—
552	C₄²×C₆₇	—	4	1	no	—
553	C₄²×C₆₇	—	4	1	no	—
554	C₄²×C₆₇	—	4	1	no	—
555	C₄²×C₆₇	—	4	1	no	—
556	C₄²×C₆₇	C₂²×C₄	1	4	yes	complemented
557	C₂³×C₆₇	—	2	1	no	—
558	C₂³×C₆₇	—	2	1	no	—
559	C₂³×C₆₇	—	2	1	no	—
560	C₂³×C₆₇	—	2	1	no	—
561	C₂³×C₆₇	—	2	1	no	—
562	C₂³×C₆₇	—	2	1	no	—
563	C₂³×C₆₇	C₂³×C₄	1	2	yes	—
564	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
565	C₂²×D₆₇	—	2	1	no	—
566	C₂²×D₆₇	—	2	1	no	—
567	C₂²×D₆₇	—	2	1	no	—
568	C₂²×D₆₇	—	2	1	no	—
569	C₂²×D₆₇	—	2	1	no	—
570	C₂²×D₆₇	—	2	1	no	—
571	C₂²×D₆₇	—	2	8	no	—
572	C₂²×D₆₇	—	2	8	no	—
573	C₂²×D₆₇	—	2	8	no	—
574	C₂²×D₆₇	—	4	4	no	—
575	C₂²×D₆₇	—	4	4	no	—
576	C₂²×D₆₇	—	4	4	no	—
577	C₂²×D₆₇	—	4	4	no	—
578	C₂²×D₆₇	C₂³×C₄	1	2	yes	—
579	C₂²×D₆₇	C₂³×C₄	1	2	yes	—
580	C₂²×D₆₇	C₂×#41	1	2	yes	—
581	C₂²×D₆₇	C₂×#41	1	2	yes	—
582	C₂²×D₆₇	H(5,𝔽₂)	1	2	yes	—
583	C₂²×D₆₇	H(5,𝔽₂)	1	2	yes	—
584	C₂²×D₆₇	2₋¹⁺⁴	1	2	yes	—
585	C₂²×D₆₇	2₋¹⁺⁴	1	2	yes	—
586	C₂×C₄×C₆₇	—	2	1	no	—
587	C₂×C₄×C₆₇	—	2	1	no	—
588	C₂×C₄×C₆₇	—	2	1	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	1	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	1	no	—
606	C₂×C₄×C₆₇	—	2	1	no	—
607	C₂×C₄×C₆₇	—	2	1	no	—
608	C₂×C₄×C₆₇	—	2	1	no	—
609	C₂×C₄×C₆₇	—	2	1	no	—
610	C₂×C₄×C₆₇	—	2	1	no	—
611	C₂×C₄×C₆₇	—	2	1	no	—
612	C₂×C₄×C₆₇	—	2	1	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	—	4	4	no	—
621	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
622	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
623	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
624	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
625	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
626	C₂×C₄×C₆₇	C₂³×C₄	1	2	yes	—
627	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
628	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
629	C₂×Dic₆₇	—	2	1	no	—
630	C₂×Dic₆₇	—	2	1	no	—
631	C₂×Dic₆₇	—	2	1	no	—
632	C₂×Dic₆₇	—	2	1	no	—
633	C₂×Dic₆₇	—	2	1	no	—
634	C₂×Dic₆₇	—	2	1	no	—
635	C₂×Dic₆₇	—	2	1	no	—
636	C₂×Dic₆₇	—	2	1	no	—
637	C₂×Dic₆₇	—	2	1	no	—
638	C₂×Dic₆₇	—	2	1	no	—
639	C₂×Dic₆₇	—	2	1	no	—
640	C₂×Dic₆₇	—	2	1	no	—
641	C₂×Dic₆₇	—	2	1	no	—
642	C₂×Dic₆₇	—	2	1	no	—
643	C₂×Dic₆₇	—	2	1	no	—
644	C₂×Dic₆₇	—	2	1	no	—
645	C₂×Dic₆₇	—	2	1	no	—
646	C₂×Dic₆₇	—	2	1	no	—
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	—	4	4	no	—
664	C₂×Dic₆₇	C₂³×C₄	1	2	yes	—
665	C₂×Dic₆₇	C₂³×C₄	1	2	yes	—
666	C₂×Dic₆₇	C₂³×C₄	1	2	yes	—
667	C₂×Dic₆₇	C₂³×C₄	1	2	yes	—
668	C₂×Dic₆₇	C₂³×C₄	1	2	yes	—
669	C₂×Dic₆₇	C₂³×C₄	1	2	yes	—
670	C₂×Dic₆₇	C₂×#41	1	2	yes	—
671	C₂×Dic₆₇	C₂×#41	1	2	yes	—
672	C₄×D₆₇	—	2	8	no	—
673	C₄×D₆₇	—	2	8	no	—
674	C₄×D₆₇	—	2	8	no	—
675	C₄×D₆₇	—	2	8	no	—
676	C₄×D₆₇	—	2	8	no	—
677	C₄×D₆₇	—	2	8	no	—
678	C₄×D₆₇	—	2	8	no	—
679	C₄×D₆₇	—	2	8	no	—
680	C₄×D₆₇	—	4	4	no	—
681	C₄×D₆₇	—	4	4	no	—
682	C₄×D₆₇	—	4	4	no	—
683	C₄×D₆₇	—	4	4	no	—
684	C₄×D₆₇	—	4	4	no	—
685	C₄×D₆₇	—	4	4	no	—
686	C₄×D₆₇	—	4	4	no	—
687	C₄×D₆₇	—	4	4	no	—
688	C₂²×C₆₇	—	2	2	no	—
689	C₂²×C₆₇	—	2	2	no	—
690	C₂²×C₆₇	—	2	2	no	—
691	C₂²×C₆₇	—	4	1	no	—
692	C₂²×C₆₇	—	4	1	no	—
693	C₂²×C₆₇	—	4	1	no	—
694	C₂²×C₆₇	—	4	1	no	—
695	C₂²×C₆₇	C₂⁴×C₄	1	1	yes	characteristic
696	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
697	C₂²×C₆₇	C₂²×#41	1	1	yes	characteristic
698	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
699	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
700	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
701	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
702	C₂×D₆₇	—	2	2	no	—
703	C₂×D₆₇	—	2	2	no	—
704	C₂×D₆₇	—	2	2	no	—
705	C₂×D₆₇	—	4	1	no	—
706	C₂×D₆₇	—	4	1	no	—
707	C₂×D₆₇	—	4	1	no	—
708	C₂×D₆₇	—	4	1	no	—
709	C₂×D₆₇	—	4	16	no	—
710	C₂×D₆₇	C₄×#41	1	4	yes	—
711	C₂×D₆₇	#520	1	4	yes	—
712	C₂×D₆₇	#520	1	4	yes	—
713	C₂×D₆₇	#538	1	4	yes	—
714	C₂×D₆₇	#539	1	4	yes	—
715	C₂×D₆₇	#541	1	4	yes	—
716	C₂×D₆₇	#542	1	4	yes	—
717	C₄×C₆₇	—	2	2	no	—
718	C₄×C₆₇	—	2	2	no	—
719	C₄×C₆₇	—	2	2	no	—
720	C₄×C₆₇	—	2	2	no	—
721	C₄×C₆₇	—	2	2	no	—
722	C₄×C₆₇	—	2	2	no	—
723	C₄×C₆₇	—	2	2	no	—
724	C₄×C₆₇	—	2	2	no	—
725	C₄×C₆₇	—	4	1	no	—
726	C₄×C₆₇	—	4	1	no	—
727	C₄×C₆₇	—	4	1	no	—
728	C₄×C₆₇	—	4	1	no	—
729	C₄×C₆₇	—	4	1	no	—
730	C₄×C₆₇	—	4	1	no	—
731	Dic₆₇	—	2	2	no	—
732	Dic₆₇	—	2	2	no	—
733	Dic₆₇	—	2	2	no	—
734	Dic₆₇	—	2	2	no	—
735	Dic₆₇	—	2	2	no	—
736	Dic₆₇	—	2	2	no	—
737	Dic₆₇	—	2	2	no	—
738	Dic₆₇	—	2	2	no	—
739	Dic₆₇	—	4	1	no	—
740	Dic₆₇	—	4	1	no	—
741	Dic₆₇	—	4	1	no	—
742	Dic₆₇	—	4	1	no	—
743	Dic₆₇	—	4	1	no	—
744	Dic₆₇	—	4	1	no	—
745	C₂×#2334	—	67	1	no	maximal, Sylow
746	C₂×C₆₇	—	4	2	no	—
747	C₂×C₆₇	C₂×C₄×#41	1	1	yes	characteristic
748	C₂×C₆₇	C₂×#520	1	1	yes	characteristic
749	C₂×C₆₇	C₂×#520	1	1	yes	characteristic
750	C₂×C₆₇	C₂×#538	1	1	yes	characteristic
751	C₂×C₆₇	C₂×#539	1	1	yes	characteristic
752	C₂×C₆₇	C₂×#541	1	1	yes	characteristic
753	C₂×C₆₇	C₂×#542	1	1	yes	characteristic
754	D₆₇	—	4	2	no	—
755	D₆₇	#2334	1	8	yes	direct product factor
756	C₂²×#126	—	67	1	no	—
757	#2334	—	67	1	no	—
758	#2334	—	67	1	no	—
759	#2334	—	67	1	no	—
760	#2334	—	67	1	no	—
761	#2334	—	67	1	no	—
762	#2334	—	67	1	no	—
763	#2334	—	67	1	no	—
764	#2334	—	67	1	no	—
765	#2334	—	67	1	no	—
766	#2334	—	67	1	no	—
767	#2334	—	67	1	no	—
768	#2334	—	67	1	no	—
769	#2334	—	67	1	no	—
770	#2334	—	67	1	no	—
771	#2334	—	67	1	no	—
772	#2334	D₆₇	1	1	yes	characteristic, direct product factor
773	C₂×#389	—	67	1	no	—
774	C₂×#389	—	67	1	no	—
775	C₂×#388	—	67	1	no	—
776	C₂×#388	—	67	1	no	—
777	C₂×#388	—	67	1	no	—
778	C₂×#387	—	67	1	no	—
779	C₂×#387	—	67	1	no	—
780	C₂×#387	—	67	1	no	—
781	C₂×#385	—	67	1	no	—
782	C₂×#385	—	67	1	no	—
783	C₂×#382	—	67	1	no	—
784	C₂×C₄×C₄⋊C₄	—	67	1	no	—
785	C₂×C₄×C₄⋊C₄	—	67	1	no	—
786	C₂×C₄×C₂²⋊C₄	—	67	1	no	—
787	C₆₇	C₂×#2334	1	1	yes	characteristic, complemented, Sylow
788	C₂⁴×C₄	—	67	1	no	—
789	C₂×#126	—	67	16	no	—
790	C₂×#126	—	67	1	no	—
791	C₂×#126	—	67	1	no	—
792	C₂×#126	—	67	1	no	—
793	C₂×#126	—	67	1	no	—
794	C₂×#126	—	67	1	no	—
795	C₂×#126	—	67	1	no	—
796	C₂×#126	—	67	1	no	—
797	C₂×#126	C₂×D₆₇	1	1	yes	characteristic
798	C₂²×C₄⋊C₄	—	67	1	no	—
799	C₂²×C₄⋊C₄	—	67	1	no	—
800	C₂²×C₄⋊C₄	—	67	1	no	—
801	C₂²×C₄⋊C₄	—	67	1	no	—
802	C₂²×C₄⋊C₄	—	67	1	no	—
803	C₂²×C₄⋊C₄	—	67	1	no	—
804	C₂²×C₄⋊C₄	—	67	1	no	—
805	C₂²×C₄⋊C₄	—	67	1	no	—
806	C₂²×C₄⋊C₄	—	67	1	no	—
807	C₂²×C₄⋊C₄	—	67	1	no	—
808	C₂²×C₂²⋊C₄	—	67	1	no	—
809	C₂²×C₂²⋊C₄	—	67	1	no	—
810	C₂²×C₂²⋊C₄	—	67	1	no	—
811	C₂²×C₂²⋊C₄	—	67	1	no	—
812	C₂²×C₂²⋊C₄	—	67	1	no	—
813	C₂²×C₂²⋊C₄	—	67	1	no	—
814	C₂²×C₄²	—	67	1	no	—
815	C₂²×C₄²	—	67	1	no	—
816	C₂²×C₄²	—	67	1	no	—
817	C₂²×C₄²	—	67	1	no	—
818	C₂²×C₄²	—	67	1	no	—
819	C₂²×C₄²	—	67	1	no	—
820	#389	—	67	1	no	—
821	#389	—	67	1	no	—
822	#389	—	67	1	no	—
823	#389	—	67	1	no	—
824	#389	—	67	1	no	—
825	#389	—	67	1	no	—
826	#389	—	67	1	no	—
827	#389	—	67	1	no	—
828	#389	—	67	1	no	—
829	#389	—	67	1	no	—
830	#389	—	67	1	no	—
831	#389	—	67	1	no	—
832	#389	—	67	1	no	—
833	#389	—	67	1	no	—
834	#389	C₂×D₆₇	1	1	yes	characteristic, complemented
835	#389	C₂×D₆₇	1	1	yes	characteristic, complemented
836	#388	—	67	1	no	—
837	#388	—	67	1	no	—
838	#388	—	67	1	no	—
839	#388	—	67	1	no	—
840	#388	—	67	1	no	—
841	#388	—	67	1	no	—
842	#388	—	67	1	no	—
843	#388	—	67	1	no	—
844	#388	—	67	1	no	—
845	#388	—	67	1	no	—
846	#388	—	67	1	no	—
847	#388	—	67	1	no	—
848	#388	—	67	1	no	—
849	#388	—	67	1	no	—
850	#388	—	67	1	no	—
851	#388	—	67	1	no	—
852	#388	—	67	1	no	—
853	#388	—	67	1	no	—
854	#388	—	67	1	no	—
855	#388	—	67	1	no	—
856	#388	—	67	1	no	—
857	#388	C₂×D₆₇	1	1	yes	characteristic
858	#388	C₂×D₆₇	1	1	yes	characteristic
859	#388	C₂×D₆₇	1	1	yes	characteristic
860	#387	—	67	1	no	—
861	#387	—	67	1	no	—
862	#387	—	67	1	no	—
863	#387	—	67	1	no	—
864	#387	—	67	1	no	—
865	#387	—	67	1	no	—
866	#387	—	67	1	no	—
867	#387	—	67	1	no	—
868	#387	—	67	1	no	—
869	#387	—	67	1	no	—
870	#387	—	67	1	no	—
871	#387	—	67	1	no	—
872	#387	—	67	1	no	—
873	#387	—	67	1	no	—
874	#387	—	67	1	no	—
875	#387	—	67	1	no	—
876	#387	—	67	1	no	—
877	#387	—	67	1	no	—
878	#387	—	67	1	no	—
879	#387	—	67	1	no	—
880	#387	—	67	1	no	—
881	#387	C₂×D₆₇	1	1	yes	characteristic, complemented
882	#387	C₂×D₆₇	1	1	yes	characteristic, complemented
883	#387	C₂×D₆₇	1	1	yes	characteristic, complemented
884	#385	—	67	1	no	—
885	#385	—	67	1	no	—
886	#385	—	67	1	no	—
887	#385	—	67	1	no	—
888	#385	—	67	1	no	—
889	#385	—	67	1	no	—
890	#385	—	67	1	no	—
891	#385	—	67	1	no	—
892	#385	—	67	1	no	—
893	#385	—	67	1	no	—
894	#385	—	67	1	no	—
895	#385	—	67	1	no	—
896	#385	—	67	1	no	—
897	#385	—	67	1	no	—
898	#385	C₂×D₆₇	1	1	yes	characteristic
899	#385	C₂×D₆₇	1	1	yes	characteristic
900	#382	—	67	1	no	—
901	#382	—	67	1	no	—
902	#382	—	67	1	no	—
903	#382	—	67	1	no	—
904	#382	—	67	1	no	—
905	#382	—	67	1	no	—
906	#382	—	67	1	no	—
907	#382	C₂×D₆₇	1	1	yes	characteristic, complemented
908	C₄×C₄⋊C₄	—	67	1	no	—
909	C₄×C₄⋊C₄	—	67	1	no	—
910	C₄×C₄⋊C₄	—	67	1	no	—
911	C₄×C₄⋊C₄	—	67	1	no	—
912	C₄×C₄⋊C₄	—	67	1	no	—
913	C₄×C₄⋊C₄	—	67	1	no	—
914	C₄×C₄⋊C₄	—	67	1	no	—
915	C₄×C₄⋊C₄	—	67	1	no	—
916	C₄×C₄⋊C₄	—	67	1	no	—
917	C₄×C₄⋊C₄	—	67	1	no	—
918	C₄×C₄⋊C₄	—	67	1	no	—
919	C₄×C₄⋊C₄	—	67	1	no	—
920	C₄×C₄⋊C₄	—	67	1	no	—
921	C₄×C₄⋊C₄	—	67	1	no	—
922	C₄×C₄⋊C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
923	C₄×C₄⋊C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
924	C₄×C₂²⋊C₄	—	67	1	no	—
925	C₄×C₂²⋊C₄	—	67	1	no	—
926	C₄×C₂²⋊C₄	—	67	1	no	—
927	C₄×C₂²⋊C₄	—	67	1	no	—
928	C₄×C₂²⋊C₄	—	67	1	no	—
929	C₄×C₂²⋊C₄	—	67	1	no	—
930	C₄×C₂²⋊C₄	—	67	1	no	—
931	C₄×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic
932	C₂×#95	—	67	1	no	—
933	C₂×#95	—	67	1	no	—
934	C₂×#95	—	67	1	no	—
935	C₂×#95	—	67	1	no	—
936	C₂×#95	—	67	1	no	—
937	C₂×#95	—	67	1	no	—
938	C₂×#95	—	67	1	no	—
939	C₂×#95	—	67	1	no	—
940	C₂×#95	—	67	1	no	—
941	C₂×#95	—	67	1	no	—
942	C₂×#95	—	67	1	no	—
943	C₂×#95	—	67	1	no	—
944	C₂⁵	—	67	1	no	—
945	C₂³×C₄	—	268	2	no	—
946	C₂³×C₄	—	268	2	no	—
947	C₂³×C₄	—	67	1	no	—
948	C₂³×C₄	—	67	1	no	—
949	C₂³×C₄	—	67	1	no	—
950	C₂³×C₄	—	67	1	no	—
951	C₂³×C₄	—	67	1	no	—
952	C₂³×C₄	—	67	1	no	—
953	C₂³×C₄	—	67	1	no	—
954	C₂³×C₄	—	67	1	no	—
955	C₂³×C₄	—	67	1	no	—
956	C₂³×C₄	—	67	1	no	—
957	C₂³×C₄	—	67	1	no	—
958	C₂³×C₄	—	67	1	no	—
959	C₂³×C₄	—	67	1	no	—
960	C₂³×C₄	—	67	1	no	—
961	C₂³×C₄	—	67	1	no	—
962	C₂³×C₄	—	67	1	no	—
963	C₂³×C₄	—	67	1	no	—
964	C₂³×C₄	—	134	4	no	—
965	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
966	#126	—	67	8	no	—
967	#126	—	67	8	no	—
968	#126	—	67	8	no	—
969	#126	—	67	8	no	—
970	#126	—	67	8	no	—
971	#126	—	67	8	no	—
972	#126	—	67	8	no	—
973	#126	C₄×D₆₇	1	8	yes	complemented
974	C₂×C₄⋊C₄	—	268	2	no	—
975	C₂×C₄⋊C₄	—	268	2	no	—
976	C₂×C₄⋊C₄	—	268	2	no	—
977	C₂×C₄⋊C₄	—	268	2	no	—
978	C₂×C₄⋊C₄	—	67	1	no	—
979	C₂×C₄⋊C₄	—	67	1	no	—
980	C₂×C₄⋊C₄	—	67	1	no	—
981	C₂×C₄⋊C₄	—	67	1	no	—
982	C₂×C₄⋊C₄	—	67	1	no	—
983	C₂×C₄⋊C₄	—	67	1	no	—
984	C₂×C₄⋊C₄	—	67	1	no	—
985	C₂×C₄⋊C₄	—	67	1	no	—
986	C₂×C₄⋊C₄	—	67	1	no	—
987	C₂×C₄⋊C₄	—	67	1	no	—
988	C₂×C₄⋊C₄	—	67	1	no	—
989	C₂×C₄⋊C₄	—	67	1	no	—
990	C₂×C₄⋊C₄	—	67	1	no	—
991	C₂×C₄⋊C₄	—	67	1	no	—
992	C₂×C₄⋊C₄	—	67	1	no	—
993	C₂×C₄⋊C₄	—	67	1	no	—
994	C₂×C₄⋊C₄	—	67	1	no	—
995	C₂×C₄⋊C₄	—	67	1	no	—
996	C₂×C₄⋊C₄	—	67	1	no	—
997	C₂×C₄⋊C₄	—	67	1	no	—
998	C₂×C₄⋊C₄	—	67	1	no	—
999	C₂×C₄⋊C₄	—	67	8	no	—
1000	C₂×C₄⋊C₄	—	67	8	no	—
1001	C₂×C₄⋊C₄	—	67	8	no	—
1002	C₂×C₄⋊C₄	—	67	1	no	—
1003	C₂×C₄⋊C₄	—	67	1	no	—
1004	C₂×C₄⋊C₄	—	67	1	no	—
1005	C₂×C₄⋊C₄	—	67	1	no	—
1006	C₂×C₄⋊C₄	—	67	1	no	—
1007	C₂×C₄⋊C₄	—	67	1	no	—
1008	C₂×C₄⋊C₄	—	67	1	no	—
1009	C₂×C₄⋊C₄	—	67	1	no	—
1010	C₂×C₄⋊C₄	—	67	1	no	—
1011	C₂×C₄⋊C₄	—	134	4	no	—
1012	C₂×C₄⋊C₄	—	134	4	no	—
1013	C₂×C₄⋊C₄	—	134	4	no	—
1014	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	—	268	2	no	—
1025	C₂×C₂²⋊C₄	—	268	2	no	—
1026	C₂×C₂²⋊C₄	—	67	1	no	—
1027	C₂×C₂²⋊C₄	—	67	1	no	—
1028	C₂×C₂²⋊C₄	—	67	1	no	—
1029	C₂×C₂²⋊C₄	—	67	1	no	—
1030	C₂×C₂²⋊C₄	—	67	1	no	—
1031	C₂×C₂²⋊C₄	—	67	1	no	—
1032	C₂×C₂²⋊C₄	—	67	1	no	—
1033	C₂×C₂²⋊C₄	—	67	1	no	—
1034	C₂×C₂²⋊C₄	—	67	1	no	—
1035	C₂×C₂²⋊C₄	—	67	1	no	—
1036	C₂×C₂²⋊C₄	—	67	1	no	—
1037	C₂×C₂²⋊C₄	—	67	1	no	—
1038	C₂×C₂²⋊C₄	—	67	1	no	—
1039	C₂×C₂²⋊C₄	—	67	1	no	—
1040	C₂×C₂²⋊C₄	—	67	1	no	—
1041	C₂×C₂²⋊C₄	—	67	8	no	—
1042	C₂×C₂²⋊C₄	—	67	8	no	—
1043	C₂×C₂²⋊C₄	—	67	8	no	—
1044	C₂×C₂²⋊C₄	—	67	1	no	—
1045	C₂×C₂²⋊C₄	—	67	1	no	—
1046	C₂×C₂²⋊C₄	—	67	1	no	—
1047	C₂×C₂²⋊C₄	—	134	4	no	—
1048	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1054	C₂×C₄²	—	268	2	no	—
1055	C₂×C₄²	—	268	2	no	—
1056	C₂×C₄²	—	268	2	no	—
1057	C₂×C₄²	—	268	2	no	—
1058	C₂×C₄²	—	67	1	no	—
1059	C₂×C₄²	—	67	1	no	—
1060	C₂×C₄²	—	67	1	no	—
1061	C₂×C₄²	—	67	1	no	—
1062	C₂×C₄²	—	67	1	no	—
1063	C₂×C₄²	—	67	1	no	—
1064	C₂×C₄²	—	67	1	no	—
1065	C₂×C₄²	—	67	1	no	—
1066	C₂×C₄²	—	67	1	no	—
1067	C₂×C₄²	—	67	1	no	—
1068	C₂×C₄²	—	67	1	no	—
1069	C₂×C₄²	—	67	1	no	—
1070	C₂×C₄²	—	67	1	no	—
1071	C₂×C₄²	—	67	1	no	—
1072	C₂×C₄²	—	67	1	no	—
1073	C₂×C₄²	—	67	8	no	—
1074	C₂×C₄²	—	67	1	no	—
1075	C₂×C₄²	—	67	1	no	—
1076	C₂×C₄²	—	67	1	no	—
1077	C₂×C₄²	—	134	4	no	—
1078	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1079	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1080	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1081	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1082	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1083	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1084	#95	—	67	1	no	—
1085	#95	—	67	1	no	—
1086	#95	—	67	1	no	—
1087	#95	—	67	1	no	—
1088	#95	—	67	1	no	—
1089	#95	—	67	1	no	—
1090	#95	—	67	1	no	—
1091	#95	—	67	1	no	—
1092	#95	—	67	1	no	—
1093	#95	—	67	1	no	—
1094	#95	—	67	1	no	—
1095	#95	—	67	1	no	—
1096	#95	—	67	1	no	—
1097	#95	—	67	1	no	—
1098	#95	—	67	1	no	—
1099	#95	—	67	1	no	—
1100	#95	—	67	1	no	—
1101	#95	—	67	1	no	—
1102	#95	—	67	1	no	—
1103	#95	—	67	1	no	—
1104	#95	—	67	1	no	—
1105	#95	—	67	1	no	—
1106	#95	—	67	1	no	—
1107	#95	—	67	1	no	—
1108	#95	—	67	1	no	—
1109	#95	—	67	1	no	—
1110	#95	—	67	1	no	—
1111	#95	—	67	1	no	—
1112	#95	—	67	1	no	—
1113	#95	—	67	1	no	—
1114	#95	—	67	1	no	—
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	C₂²×D₆₇	1	1	yes	characteristic
1121	#95	C₂²×D₆₇	1	1	yes	characteristic
1122	#95	C₂²×D₆₇	1	1	yes	characteristic
1123	#95	C₂²×D₆₇	1	1	yes	characteristic
1124	#95	C₂²×D₆₇	1	1	yes	characteristic
1125	#95	C₂²×D₆₇	1	1	yes	characteristic
1126	#95	C₂²×D₆₇	1	1	yes	characteristic
1127	#95	C₂²×D₆₇	1	1	yes	characteristic
1128	#95	C₂²×D₆₇	1	1	yes	characteristic
1129	#95	C₂²×D₆₇	1	1	yes	characteristic
1130	#95	C₂²×D₆₇	1	1	yes	characteristic
1131	#95	C₂²×D₆₇	1	1	yes	characteristic
1132	C₂⁴	—	67	1	no	—
1133	C₂⁴	—	67	4	no	—
1134	C₂⁴	—	67	1	no	—
1135	C₂⁴	—	134	2	no	—
1136	C₂⁴	—	134	2	no	—
1137	C₂⁴	—	134	2	no	—
1138	C₂⁴	—	134	2	no	—
1139	C₂⁴	—	134	2	no	—
1140	C₂⁴	—	134	2	no	—
1141	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	268	1	no	—
1146	C₂²×C₄	—	268	1	no	—
1147	C₂²×C₄	—	268	1	no	—
1148	C₂²×C₄	—	268	1	no	—
1149	C₂²×C₄	—	268	16	no	—
1150	C₂²×C₄	—	268	1	no	—
1151	C₂²×C₄	—	268	1	no	—
1152	C₂²×C₄	—	67	1	no	—
1153	C₂²×C₄	—	67	1	no	—
1154	C₂²×C₄	—	67	1	no	—
1155	C₂²×C₄	—	67	1	no	—
1156	C₂²×C₄	—	67	1	no	—
1157	C₂²×C₄	—	67	1	no	—
1158	C₂²×C₄	—	67	1	no	—
1159	C₂²×C₄	—	67	1	no	—
1160	C₂²×C₄	—	67	4	no	—
1161	C₂²×C₄	—	67	4	no	—
1162	C₂²×C₄	—	67	4	no	—
1163	C₂²×C₄	—	67	4	no	—
1164	C₂²×C₄	—	67	4	no	—
1165	C₂²×C₄	—	67	4	no	—
1166	C₂²×C₄	—	67	4	no	—
1167	C₂²×C₄	—	67	4	no	—
1168	C₂²×C₄	—	67	1	no	—
1169	C₂²×C₄	—	67	1	no	—
1170	C₂²×C₄	—	67	1	no	—
1171	C₂²×C₄	—	67	1	no	—
1172	C₂²×C₄	—	67	1	no	—
1173	C₂²×C₄	—	67	1	no	—
1174	C₂²×C₄	—	134	2	no	—
1175	C₂²×C₄	—	134	2	no	—
1176	C₂²×C₄	—	134	2	no	—
1177	C₂²×C₄	—	134	2	no	—
1178	C₂²×C₄	—	134	2	no	—
1179	C₂²×C₄	—	134	2	no	—
1180	C₂²×C₄	—	134	2	no	—
1181	C₂²×C₄	—	134	2	no	—
1182	C₂²×C₄	—	134	2	no	—
1183	C₂²×C₄	—	134	2	no	—
1184	C₂²×C₄	—	134	2	no	—
1185	C₂²×C₄	—	134	2	no	—
1186	C₂²×C₄	—	134	2	no	—
1187	C₂²×C₄	—	134	2	no	—
1188	C₂²×C₄	—	134	2	no	—
1189	C₂²×C₄	—	134	2	no	—
1190	C₂²×C₄	—	134	2	no	—
1191	C₂²×C₄	—	134	2	no	—
1192	C₂²×C₄	—	134	2	no	—
1193	C₂²×C₄	—	134	2	no	—
1194	C₂²×C₄	—	134	2	no	—
1195	C₂²×C₄	—	134	2	no	—
1196	C₂²×C₄	—	134	2	no	—
1197	C₂²×C₄	—	134	2	no	—
1198	C₂²×C₄	—	134	2	no	—
1199	C₂²×C₄	—	134	2	no	—
1200	C₂²×C₄	—	134	2	no	—
1201	C₂²×C₄	—	134	2	no	—
1202	C₂²×C₄	—	134	2	no	—
1203	C₂²×C₄	—	134	2	no	—
1204	C₂²×C₄	—	134	2	no	—
1205	C₂²×C₄	—	134	2	no	—
1206	C₂²×C₄	—	134	2	no	—
1207	C₂²×C₄	—	134	2	no	—
1208	C₂²×C₄	—	134	2	no	—
1209	C₂²×C₄	—	134	2	no	—
1210	C₂²×C₄	—	134	2	no	—
1211	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1224	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	—	268	1	no	—
1233	C₄⋊C₄	—	268	1	no	—
1234	C₄⋊C₄	—	268	1	no	—
1235	C₄⋊C₄	—	268	1	no	—
1236	C₄⋊C₄	—	268	1	no	—
1237	C₄⋊C₄	—	268	1	no	—
1238	C₄⋊C₄	—	268	1	no	—
1239	C₄⋊C₄	—	268	1	no	—
1240	C₄⋊C₄	—	268	1	no	—
1241	C₄⋊C₄	—	268	1	no	—
1242	C₄⋊C₄	—	268	1	no	—
1243	C₄⋊C₄	—	268	1	no	—
1244	C₄⋊C₄	—	67	4	no	—
1245	C₄⋊C₄	—	67	4	no	—
1246	C₄⋊C₄	—	67	4	no	—
1247	C₄⋊C₄	—	67	4	no	—
1248	C₄⋊C₄	—	67	4	no	—
1249	C₄⋊C₄	—	67	4	no	—
1250	C₄⋊C₄	—	67	4	no	—
1251	C₄⋊C₄	—	67	4	no	—
1252	C₄⋊C₄	—	67	4	no	—
1253	C₄⋊C₄	—	134	2	no	—
1254	C₄⋊C₄	—	134	2	no	—
1255	C₄⋊C₄	—	134	2	no	—
1256	C₄⋊C₄	—	134	2	no	—
1257	C₄⋊C₄	—	134	2	no	—
1258	C₄⋊C₄	—	134	2	no	—
1259	C₄⋊C₄	—	134	2	no	—
1260	C₄⋊C₄	—	134	2	no	—
1261	C₄⋊C₄	—	134	2	no	—
1262	C₄⋊C₄	C₂×C₄×D₆₇	1	4	yes	complemented
1263	C₄⋊C₄	C₂×C₄×D₆₇	1	4	yes	complemented
1264	C₄⋊C₄	C₂×C₄×D₆₇	1	4	yes	complemented
1265	C₂²⋊C₄	—	2	2	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	268	1	no	—
1269	C₂²⋊C₄	—	268	1	no	—
1270	C₂²⋊C₄	—	268	1	no	—
1271	C₂²⋊C₄	—	268	1	no	—
1272	C₂²⋊C₄	—	268	1	no	—
1273	C₂²⋊C₄	—	268	1	no	—
1274	C₂²⋊C₄	—	67	4	no	—
1275	C₂²⋊C₄	—	67	4	no	—
1276	C₂²⋊C₄	—	67	4	no	—
1277	C₂²⋊C₄	—	67	4	no	—
1278	C₂²⋊C₄	—	67	4	no	—
1279	C₂²⋊C₄	—	67	4	no	—
1280	C₂²⋊C₄	—	67	4	no	—
1281	C₂²⋊C₄	—	67	4	no	—
1282	C₂²⋊C₄	—	67	4	no	—
1283	C₂²⋊C₄	—	134	2	no	—
1284	C₂²⋊C₄	—	134	2	no	—
1285	C₂²⋊C₄	—	134	2	no	—
1286	C₂²⋊C₄	C₂×C₄×D₆₇	1	4	yes	—
1287	C₂²⋊C₄	C₂×C₄×D₆₇	1	4	yes	—
1288	C₂²⋊C₄	C₂×C₄×D₆₇	1	4	yes	—
1289	C₄²	—	2	2	no	—
1290	C₄²	—	4	1	no	—
1291	C₄²	—	4	1	no	—
1292	C₄²	—	4	1	no	—
1293	C₄²	—	4	1	no	—
1294	C₄²	—	268	1	no	—
1295	C₄²	—	268	1	no	—
1296	C₄²	—	268	1	no	—
1297	C₄²	—	268	1	no	—
1298	C₄²	—	268	1	no	—
1299	C₄²	—	268	1	no	—
1300	C₄²	—	268	1	no	—
1301	C₄²	—	268	1	no	—
1302	C₄²	—	268	1	no	—
1303	C₄²	—	268	1	no	—
1304	C₄²	—	268	1	no	—
1305	C₄²	—	268	1	no	—
1306	C₄²	—	67	4	no	—
1307	C₄²	—	67	4	no	—
1308	C₄²	—	67	4	no	—
1309	C₄²	—	134	2	no	—
1310	C₄²	—	134	2	no	—
1311	C₄²	—	134	2	no	—
1312	C₄²	C₂×C₄×D₆₇	1	4	yes	complemented
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	268	4	no	—
1320	C₂³	—	268	4	no	—
1321	C₂³	—	268	4	no	—
1322	C₂³	—	268	4	no	—
1323	C₂³	—	67	2	no	—
1324	C₂³	—	67	2	no	—
1325	C₂³	—	67	2	no	—
1326	C₂³	—	67	2	no	—
1327	C₂³	—	67	2	no	—
1328	C₂³	—	67	2	no	—
1329	C₂³	—	67	2	no	—
1330	C₂³	—	67	2	no	—
1331	C₂³	—	134	8	no	—
1332	C₂³	—	134	8	no	—
1333	C₂³	—	134	8	no	—
1334	C₂³	—	134	1	no	—
1335	C₂³	—	134	1	no	—
1336	C₂³	—	134	1	no	—
1337	C₂³	—	134	1	no	—
1338	C₂³	—	134	1	no	—
1339	C₂³	—	134	1	no	—
1340	C₂³	C₂²×C₄×D₆₇	1	2	yes	—
1341	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	4	4	no	—
1377	C₂×C₄	—	268	4	no	—
1378	C₂×C₄	—	268	4	no	—
1379	C₂×C₄	—	268	4	no	—
1380	C₂×C₄	—	268	4	no	—
1381	C₂×C₄	—	268	4	no	—
1382	C₂×C₄	—	268	4	no	—
1383	C₂×C₄	—	268	4	no	—
1384	C₂×C₄	—	268	4	no	—
1385	C₂×C₄	—	268	4	no	—
1386	C₂×C₄	—	67	2	no	—
1387	C₂×C₄	—	67	2	no	—
1388	C₂×C₄	—	67	2	no	—
1389	C₂×C₄	—	67	2	no	—
1390	C₂×C₄	—	67	2	no	—
1391	C₂×C₄	—	67	2	no	—
1392	C₂×C₄	—	67	2	no	—
1393	C₂×C₄	—	67	2	no	—
1394	C₂×C₄	—	134	8	no	—
1395	C₂×C₄	—	134	8	no	—
1396	C₂×C₄	—	134	8	no	—
1397	C₂×C₄	—	134	8	no	—
1398	C₂×C₄	—	134	8	no	—
1399	C₂×C₄	—	134	8	no	—
1400	C₂×C₄	—	134	8	no	—
1401	C₂×C₄	—	134	8	no	—
1402	C₂×C₄	—	134	1	no	—
1403	C₂×C₄	—	134	1	no	—
1404	C₂×C₄	—	134	1	no	—
1405	C₂×C₄	—	134	1	no	—
1406	C₂×C₄	—	134	1	no	—
1407	C₂×C₄	—	134	1	no	—
1408	C₂×C₄	—	134	1	no	—
1409	C₂×C₄	—	134	1	no	—
1410	C₂×C₄	—	134	1	no	—
1411	C₂×C₄	—	134	1	no	—
1412	C₂×C₄	—	134	1	no	—
1413	C₂×C₄	—	134	1	no	—
1414	C₂×C₄	—	134	1	no	—
1415	C₂×C₄	—	134	1	no	—
1416	C₂×C₄	—	134	1	no	—
1417	C₂×C₄	—	134	1	no	—
1418	C₂×C₄	—	134	1	no	—
1419	C₂×C₄	—	134	1	no	—
1420	C₂×C₄	—	134	1	no	—
1421	C₂×C₄	—	134	1	no	—
1422	C₂×C₄	—	134	1	no	—
1423	C₂×C₄	—	134	1	no	—
1424	C₂×C₄	—	134	1	no	—
1425	C₂×C₄	—	134	1	no	—
1426	C₂×C₄	—	134	1	no	—
1427	C₂×C₄	—	134	1	no	—
1428	C₂×C₄	—	134	1	no	—
1429	C₂×C₄	—	134	1	no	—
1430	C₂×C₄	—	134	1	no	—
1431	C₂×C₄	—	134	1	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	C₂²×C₄×D₆₇	1	2	yes	—
1437	C₂×C₄	C₂²×C₄×D₆₇	1	2	yes	—
1438	C₂×C₄	C₂²×C₄×D₆₇	1	2	yes	—
1439	C₂×C₄	C₂²×C₄×D₆₇	1	2	yes	—
1440	C₂×C₄	C₂²×C₄×D₆₇	1	2	yes	—
1441	C₂×C₄	C₂²×C₄×D₆₇	1	2	yes	—
1442	C₂×C₄	#41×D₆₇	1	2	yes	—
1443	C₂×C₄	#41×D₆₇	1	2	yes	—
1444	C₂²	—	2	2	no	—
1445	C₂²	—	2	2	no	—
1446	C₂²	—	2	2	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	268	16	no	—
1452	C₂²	—	268	1	no	—
1453	C₂²	—	268	1	no	—
1454	C₂²	—	268	1	no	—
1455	C₂²	—	268	1	no	—
1456	C₂²	—	67	4	no	—
1457	C₂²	—	67	4	no	—
1458	C₂²	—	67	4	no	—
1459	C₂²	—	67	4	no	—
1460	C₂²	—	67	4	no	—
1461	C₂²	—	67	4	no	—
1462	C₂²	—	67	4	no	—
1463	C₂²	—	134	2	no	—
1464	C₂²	—	134	2	no	—
1465	C₂²	—	134	2	no	—
1466	C₂²	C₂³×C₄×D₆₇	1	1	yes	characteristic
1467	C₂²	C₂×#41×D₆₇	1	1	yes	characteristic
1468	C₂²	C₂×#41×D₆₇	1	1	yes	characteristic
1469	C₂²	H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1470	C₂²	H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1471	C₂²	2₋¹⁺⁴×D₆₇	1	1	yes	characteristic
1472	C₂²	2₋¹⁺⁴×D₆₇	1	1	yes	characteristic
1473	C₄	—	2	2	no	—
1474	C₄	—	2	2	no	—
1475	C₄	—	2	2	no	—
1476	C₄	—	2	2	no	—
1477	C₄	—	2	2	no	—
1478	C₄	—	2	2	no	—
1479	C₄	—	2	2	no	—
1480	C₄	—	2	2	no	—
1481	C₄	—	4	1	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	1	no	—
1484	C₄	—	4	1	no	—
1485	C₄	—	4	1	no	—
1486	C₄	—	4	1	no	—
1487	C₄	—	268	1	no	—
1488	C₄	—	268	1	no	—
1489	C₄	—	268	1	no	—
1490	C₄	—	268	1	no	—
1491	C₄	—	268	1	no	—
1492	C₄	—	268	1	no	—
1493	C₄	—	134	2	no	—
1494	C₄	—	134	2	no	—
1495	C₄	—	134	2	no	—
1496	C₄	—	134	2	no	—
1497	C₄	—	134	2	no	—
1498	C₄	—	134	2	no	—
1499	C₄	—	134	2	no	—
1500	C₄	—	134	2	no	—
1501	C₂	—	4	2	no	—
1502	C₂	—	268	2	no	—
1503	C₂	—	67	8	no	—
1504	C₂	C₄×#41×D₆₇	1	1	yes	characteristic
1505	C₂	#520×D₆₇	1	1	yes	characteristic
1506	C₂	#520×D₆₇	1	1	yes	characteristic
1507	C₂	#538×D₆₇	1	1	yes	characteristic
1508	C₂	#539×D₆₇	1	1	yes	characteristic
1509	C₂	#541×D₆₇	1	1	yes	characteristic
1510	C₂	#542×D₆₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₆₇
commutator	C₂²×C₆₇	C₂⁴×C₄
Fitting	C₆₇×#2334	C₂
socle, cosocle	C₂³×C₆₇	C₂⁵
prime radical	C₂⁴×D₆₇	C₂³
hypercenter	#2334	D₆₇
hypocenter	C₆₇	C₂×#2334
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ #2334

Complements

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

N	H ≅ G/N	type
2. #22562991	C₂	semidirect
3. #22562990	C₂	semidirect
4. #22562989	C₂	semidirect
5. #22562988	C₂	semidirect
6. #22562987	C₂	semidirect
7. #22562986	C₂	semidirect
8. #22562985	C₂	semidirect
9. #22562984	C₂	semidirect
10. #22562983	C₂	semidirect
11. #22562982	C₂	semidirect
12. #22562981	C₂	semidirect
13. #22562980	C₂	semidirect
14. #22562979	C₂	semidirect
15. #22562978	C₂	semidirect
16. #22562977	C₂	semidirect
17. #389×D₆₇	C₂	semidirect
18. #389×D₆₇	C₂	semidirect
22. #387×D₆₇	C₂	semidirect
23. #387×D₆₇	C₂	semidirect
24. #387×D₆₇	C₂	semidirect
27. #382×D₆₇	C₂	semidirect
28. C₄×C₄⋊C₄×D₆₇	C₂	semidirect
29. C₄×C₄⋊C₄×D₆₇	C₂	semidirect
31. C₆₇×#2334	C₂	semidirect
40. #126×D₆₇	C₄	semidirect
63. #16863295	C₂²	semidirect
64. #16863295	C₂²	semidirect
65. #16863294	C₂²	semidirect
66. #16863294	C₂²	semidirect
67. #16863293	C₂²	semidirect
68. #16863293	C₂²	semidirect
69. #16863293	C₂²	semidirect
70. #16863293	C₂²	semidirect
71. #16863292	C₂²	semidirect
72. #16863292	C₂²	semidirect
73. #16863291	C₂²	semidirect
74. #16863291	C₂²	semidirect
75. #16863291	C₂²	semidirect
76. #16863291	C₂²	semidirect
98. #16863283	C₂²	semidirect
99. #16863283	C₂²	semidirect
100. #16863283	C₂²	semidirect
101. #16863282	C₂²	semidirect
102. #16863282	C₂²	semidirect
103. #16863282	C₂²	semidirect
104. #16863281	C₂²	semidirect
105. #16863281	C₂²	semidirect
106. #16863281	C₂²	semidirect
107. #16863280	C₂²	semidirect
108. #16863280	C₂²	semidirect
109. #16863280	C₂²	semidirect
110. #16863279	C₂²	semidirect
111. #16863279	C₂²	semidirect
112. #16863279	C₂²	semidirect
113. #16863278	C₂²	semidirect
114. #16863278	C₂²	semidirect
115. #16863278	C₂²	semidirect
116. #16863277	C₂²	semidirect
117. #16863277	C₂²	semidirect
118. #16863277	C₂²	semidirect
133. #16863262	C₂²	semidirect
134. #16863261	C₂²	semidirect
135. #16863261	C₂²	semidirect
136. #16863260	C₂²	semidirect
137. #16863260	C₂²	semidirect
138. #16863260	C₂²	semidirect
139. #16863260	C₂²	semidirect
140. C₄⋊C₄×Dic₆₇	C₂²	semidirect
141. C₄⋊C₄×Dic₆₇	C₂²	semidirect
142. C₄⋊C₄×Dic₆₇	C₂²	semidirect
143. C₄⋊C₄×Dic₆₇	C₂²	semidirect
144. C₄×Dic₆₇⋊C₄	C₂²	semidirect
145. C₄×Dic₆₇⋊C₄	C₂²	semidirect
146. C₄×Dic₆₇⋊C₄	C₂²	semidirect
147. C₄×Dic₆₇⋊C₄	C₂²	semidirect
148. C₄×C₄⋊Dic₆₇	C₂²	semidirect
149. C₄×C₄⋊Dic₆₇	C₂²	semidirect
150. #16863247	C₂²	semidirect
151. #16863247	C₂²	semidirect
152. #16863247	C₂²	semidirect
153. #16863247	C₂²	semidirect
174. #389×C₆₇	C₂²	semidirect
175. #389×C₆₇	C₂²	semidirect
179. #387×C₆₇	C₂²	semidirect
180. #387×C₆₇	C₂²	semidirect
181. #387×C₆₇	C₂²	semidirect
184. #382×C₆₇	C₂²	semidirect
185. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
186. C₄×C₄⋊C₄×C₆₇	C₂²	semidirect
209. #14524038	C₂×C₄	semidirect
210. #14524038	C₂×C₄	semidirect
211. #14524038	C₂×C₄	semidirect
212. #14524037	C₂×C₄	semidirect
213. #14524036	C₂×C₄	semidirect
214. #14524036	C₂×C₄	semidirect
215. #14524036	C₂×C₄	semidirect
253. C₄⋊C₄×D₆₇	C₂×C₄	semidirect
254. C₄⋊C₄×D₆₇	C₂×C₄	semidirect
255. C₄⋊C₄×D₆₇	C₂×C₄	semidirect
303. C₄²×D₆₇	C₂×C₄	semidirect
341. #126×C₆₇	C₂×C₄	semidirect
458. C₄⋊Dic₆₇	C₂²×C₄	semidirect
459. C₄⋊Dic₆₇	C₂²×C₄	semidirect
460. C₄⋊Dic₆₇	C₂²×C₄	semidirect
475. Dic₆₇⋊C₄	C₂²×C₄	semidirect
476. Dic₆₇⋊C₄	C₂²×C₄	semidirect
477. Dic₆₇⋊C₄	C₂²×C₄	semidirect
478. Dic₆₇⋊C₄	C₂²×C₄	semidirect
479. Dic₆₇⋊C₄	C₂²×C₄	semidirect
480. Dic₆₇⋊C₄	C₂²×C₄	semidirect
514. C₄×Dic₆₇	C₂²×C₄	semidirect
515. C₄×Dic₆₇	C₂²×C₄	semidirect
516. C₄×Dic₆₇	C₂²×C₄	semidirect
542. C₄⋊C₄×C₆₇	C₂²×C₄	semidirect
543. C₄⋊C₄×C₆₇	C₂²×C₄	semidirect
544. C₄⋊C₄×C₆₇	C₂²×C₄	semidirect
556. C₄²×C₆₇	C₂²×C₄	semidirect
755. D₆₇	#2334	direct (N × H)
772. #2334	D₆₇	direct (N × H)
787. C₆₇	C₂×#2334	semidirect
834. #389	C₂×D₆₇	semidirect
835. #389	C₂×D₆₇	semidirect
881. #387	C₂×D₆₇	semidirect
882. #387	C₂×D₆₇	semidirect
883. #387	C₂×D₆₇	semidirect
907. #382	C₂×D₆₇	semidirect
922. C₄×C₄⋊C₄	C₂×D₆₇	semidirect
923. C₄×C₄⋊C₄	C₂×D₆₇	semidirect
973. #126	C₄×D₆₇	semidirect
1262. C₄⋊C₄	C₂×C₄×D₆₇	semidirect
1263. C₄⋊C₄	C₂×C₄×D₆₇	semidirect
1264. C₄⋊C₄	C₂×C₄×D₆₇	semidirect
1312. C₄²	C₂×C₄×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#126×D₆₇	2
#22562991	2
#22562990	2
#22562989	2
#22562988	2
#22562987	2
#22562986	2
#22562985	2
#22562984	2
#22562983	2
#22562982	2
#22562981	2
#22562980	2
#22562979	2
#22562978	2
#22562977	2
#389×D₆₇	2
#388×D₆₇	2
#387×D₆₇	2
#385×D₆₇	2
#382×D₆₇	2
C₄×C₄⋊C₄×D₆₇	2
C₄×C₂²⋊C₄×D₆₇	2
C₆₇×#2334	2
C₂×#2334	67

Subgroups — #2334×D67 #31014701

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2334×D₆₇ #31014701