Subgroups — C₆₇×#62752 #30742003

Order 17152.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#3565	C₂	1	4	yes	maximal, complemented
2	C₆₇×#3564	C₂	1	4	yes	maximal, complemented
3	C₆₇×#3563	C₂	1	2	yes	maximal, complemented
4	C₆₇×#3563	C₂	1	2	yes	maximal, complemented
5	C₆₇×#3561	C₂	1	2	yes	maximal, complemented
6	C₆₇×#3559	C₂	1	2	yes	maximal, complemented
7	C₆₇×#3555	C₂	1	2	yes	maximal, complemented
8	C₆₇×#3552	C₂	1	2	yes	maximal, complemented
9	C₆₇×#3547	C₂	1	2	yes	maximal, complemented
10	C₆₇×#3544	C₂	1	2	yes	maximal, complemented
11	C₆₇×#3538	C₂	1	2	yes	maximal, complemented
12	C₆₇×#3536	C₂	1	2	yes	maximal, complemented
13	C₆₇×#3535	C₂	1	4	yes	maximal, complemented
14	C₆₇×#3531	C₂	1	4	yes	maximal, complemented
15	C₆₇×#3482	C₂	1	4	yes	maximal, complemented
16	Q₈×#41×C₆₇	C₂	1	2	yes	maximal, complemented
17	C₆₇×#3475	C₂	1	4	yes	maximal, complemented
18	C₆₇×#3475	C₂	1	2	yes	maximal, complemented
19	C₆₇×#3461	C₂	1	4	yes	maximal, complemented
20	C₆₇×#3461	C₂	1	4	yes	maximal, complemented
21	C₆₇×#3458	C₂	1	2	yes	maximal, complemented
22	C₆₇×#3455	C₂	1	2	yes	maximal, complemented
23	C₆₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#533×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#529×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
26	#564×C₆₇	C₂²	1	4	yes	complemented
27	#563×C₆₇	C₂²	1	8	yes	complemented
28	#563×C₆₇	C₂²	1	8	yes	complemented
29	#563×C₆₇	C₂²	1	8	yes	complemented
30	#563×C₆₇	C₂²	1	8	yes	complemented
31	#563×C₆₇	C₂²	1	4	yes	complemented
32	#563×C₆₇	C₂²	1	4	yes	complemented
33	#562×C₆₇	C₂²	1	8	yes	—
34	#562×C₆₇	C₂²	1	8	yes	complemented
35	#562×C₆₇	C₂²	1	4	yes	complemented
36	Q₈²×C₆₇	C₂²	1	2	yes	complemented
37	#557×C₆₇	C₂²	1	2	yes	complemented
38	#557×C₆₇	C₂²	1	4	yes	complemented
39	#557×C₆₇	C₂²	1	4	yes	complemented
40	#556×C₆₇	C₂²	1	2	yes	complemented
41	#556×C₆₇	C₂²	1	4	yes	complemented
42	#556×C₆₇	C₂²	1	4	yes	complemented
43	#556×C₆₇	C₂²	1	8	yes	complemented
44	#555×C₆₇	C₂²	1	2	yes	complemented
45	#555×C₆₇	C₂²	1	4	yes	complemented
46	#554×C₆₇	C₂²	1	8	yes	—
47	#554×C₆₇	C₂²	1	4	yes	—
48	#554×C₆₇	C₂²	1	2	yes	complemented
49	#554×C₆₇	C₂²	1	2	yes	complemented
50	#554×C₆₇	C₂²	1	4	yes	complemented
51	#554×C₆₇	C₂²	1	4	yes	complemented
52	#553×C₆₇	C₂²	1	4	yes	complemented
53	#553×C₆₇	C₂²	1	4	yes	complemented
54	#553×C₆₇	C₂²	1	4	yes	complemented
55	#552×C₆₇	C₂²	1	4	yes	—
56	#552×C₆₇	C₂²	1	8	yes	—
57	#552×C₆₇	C₂²	1	8	yes	complemented
58	#552×C₆₇	C₂²	1	4	yes	complemented
59	#552×C₆₇	C₂²	1	4	yes	complemented
60	#552×C₆₇	C₂²	1	4	yes	complemented
61	#552×C₆₇	C₂²	1	4	yes	complemented
62	#552×C₆₇	C₂²	1	4	yes	complemented
63	#552×C₆₇	C₂²	1	8	yes	complemented
64	#551×C₆₇	C₂²	1	8	yes	—
65	#551×C₆₇	C₂²	1	8	yes	—
66	#551×C₆₇	C₂²	1	8	yes	—
67	D₄×Q₈×C₆₇	C₂²	1	4	yes	—
68	D₄×Q₈×C₆₇	C₂²	1	4	yes	complemented
69	D₄×Q₈×C₆₇	C₂²	1	2	yes	complemented
70	#548×C₆₇	C₂²	1	4	yes	—
71	#548×C₆₇	C₂²	1	4	yes	complemented
72	#547×C₆₇	C₂²	1	4	yes	—
73	#547×C₆₇	C₂²	1	8	yes	complemented
74	#547×C₆₇	C₂²	1	4	yes	complemented
75	#547×C₆₇	C₂²	1	2	yes	complemented
76	#546×C₆₇	C₂²	1	8	yes	—
77	#546×C₆₇	C₂²	1	4	yes	—
78	#544×C₆₇	C₂²	1	4	yes	—
79	#544×C₆₇	C₂²	1	4	yes	—
80	#544×C₆₇	C₂²	1	4	yes	complemented
81	#544×C₆₇	C₂²	1	4	yes	complemented
82	#544×C₆₇	C₂²	1	4	yes	complemented
83	#544×C₆₇	C₂²	1	4	yes	complemented
84	#544×C₆₇	C₂²	1	4	yes	complemented
85	#544×C₆₇	C₂²	1	4	yes	complemented
86	#543×C₆₇	C₂²	1	4	yes	—
87	#543×C₆₇	C₂²	1	4	yes	—
88	#542×C₆₇	C₂²	1	4	yes	—
89	#542×C₆₇	C₂²	1	8	yes	complemented
90	#542×C₆₇	C₂²	1	4	yes	complemented
91	#542×C₆₇	C₂²	1	4	yes	complemented
92	#542×C₆₇	C₂²	1	8	yes	complemented
93	#542×C₆₇	C₂²	1	4	yes	complemented
94	#542×C₆₇	C₂²	1	8	yes	complemented
95	#541×C₆₇	C₂²	1	4	yes	complemented
96	#541×C₆₇	C₂²	1	4	yes	complemented
97	#541×C₆₇	C₂²	1	4	yes	complemented
98	#541×C₆₇	C₂²	1	8	yes	complemented
99	#541×C₆₇	C₂²	1	8	yes	complemented
100	#541×C₆₇	C₂²	1	8	yes	complemented
101	#540×C₆₇	C₂²	1	4	yes	complemented
102	#539×C₆₇	C₂²	1	4	yes	—
103	#539×C₆₇	C₂²	1	4	yes	—
104	#539×C₆₇	C₂²	1	4	yes	—
105	#539×C₆₇	C₂²	1	8	yes	complemented
106	#539×C₆₇	C₂²	1	8	yes	complemented
107	#539×C₆₇	C₂²	1	4	yes	complemented
108	#539×C₆₇	C₂²	1	8	yes	complemented
109	#538×C₆₇	C₂²	1	4	yes	—
110	#538×C₆₇	C₂²	1	4	yes	—
111	#537×C₆₇	C₂²	1	4	yes	—
112	#537×C₆₇	C₂²	1	4	yes	—
113	#536×C₆₇	C₂²	1	8	yes	complemented
114	#536×C₆₇	C₂²	1	4	yes	complemented
115	#536×C₆₇	C₂²	1	4	yes	complemented
116	#533×C₆₇	C₂²	1	2	yes	—
117	#533×C₆₇	C₂²	1	2	yes	—
118	#533×C₆₇	C₂²	1	2	yes	—
119	#533×C₆₇	C₂²	1	2	yes	—
120	#533×C₆₇	C₂²	1	1	yes	characteristic
121	#533×C₆₇	C₂²	1	4	yes	—
122	#533×C₆₇	C₂²	1	2	yes	complemented
123	#533×C₆₇	C₂²	1	8	yes	complemented
124	#533×C₆₇	C₂²	1	8	yes	complemented
125	#533×C₆₇	C₂²	1	2	yes	complemented
126	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
127	#533×C₆₇	C₂²	1	1	yes	characteristic, complemented
128	#533×C₆₇	C₂²	1	2	yes	complemented
129	#533×C₆₇	C₂²	1	2	yes	complemented
130	#533×C₆₇	C₂²	1	8	yes	complemented
131	#533×C₆₇	C₂²	1	4	yes	complemented
132	#532×C₆₇	C₂²	1	1	yes	characteristic
133	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₄⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	#529×C₆₇	C₂²	1	2	yes	—
138	#529×C₆₇	C₂²	1	2	yes	—
139	#529×C₆₇	C₂²	1	2	yes	—
140	#529×C₆₇	C₂²	1	2	yes	—
141	#529×C₆₇	C₂²	1	2	yes	—
142	#529×C₆₇	C₂²	1	2	yes	—
143	#529×C₆₇	C₂²	1	2	yes	—
144	#529×C₆₇	C₂²	1	2	yes	—
145	#529×C₆₇	C₂²	1	2	yes	—
146	#529×C₆₇	C₂²	1	2	yes	—
147	#529×C₆₇	C₂²	1	2	yes	complemented
148	#529×C₆₇	C₂²	1	8	yes	complemented
149	#529×C₆₇	C₂²	1	8	yes	complemented
150	#529×C₆₇	C₂²	1	8	yes	complemented
151	#529×C₆₇	C₂²	1	8	yes	complemented
152	#529×C₆₇	C₂²	1	2	yes	complemented
153	#529×C₆₇	C₂²	1	2	yes	complemented
154	#529×C₆₇	C₂²	1	2	yes	complemented
155	#529×C₆₇	C₂²	1	8	yes	complemented
156	#529×C₆₇	C₂²	1	8	yes	complemented
157	#529×C₆₇	C₂²	1	4	yes	complemented
158	C₂×#126×C₆₇	C₂²	1	2	yes	—
159	C₂×#125×C₆₇	C₂²	1	1	yes	characteristic
160	C₂×#125×C₆₇	C₂²	1	2	yes	complemented
161	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
162	#525×C₆₇	C₂²	1	2	yes	—
163	#525×C₆₇	C₂²	1	2	yes	—
164	#525×C₆₇	C₂²	1	2	yes	—
165	#525×C₆₇	C₂²	1	4	yes	—
166	C₂×#123×C₆₇	C₂²	1	2	yes	—
167	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	2	yes	—
168	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	2	yes	—
169	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
170	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
171	C₄×#41×C₆₇	C₂²	1	2	yes	—
172	C₄×#41×C₆₇	C₂²	1	4	yes	—
173	C₄×#41×C₆₇	C₂²	1	2	yes	complemented
174	C₄×#41×C₆₇	C₂²	1	2	yes	complemented
175	C₄×#41×C₆₇	C₂²	1	8	yes	complemented
176	C₄×#41×C₆₇	C₂²	1	4	yes	complemented
177	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic
178	C₂×C₄×Q₈×C₆₇	C₂²	1	2	yes	complemented
179	C₂×C₄×Q₈×C₆₇	C₂²	1	2	yes	complemented
180	C₂×C₄×Q₈×C₆₇	C₂²	1	4	yes	complemented
181	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
182	C₂×C₄×D₄×C₆₇	C₂²	1	2	yes	—
183	C₂×#117×C₆₇	C₂²	1	2	yes	—
184	C₂×#117×C₆₇	C₂²	1	2	yes	—
185	C₂×#117×C₆₇	C₂²	1	4	yes	—
186	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic
187	C₂×#41×C₆₇	C₂³	1	2	yes	—
188	C₂×#41×C₆₇	C₂³	1	2	yes	—
189	C₂×#41×C₆₇	C₂³	1	2	yes	—
190	C₂×#41×C₆₇	C₂³	1	8	yes	—
191	C₂×#41×C₆₇	C₂³	1	4	yes	—
192	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
193	C₂²×Q₈×C₆₇	C₂³	1	2	yes	—
194	C₂²×Q₈×C₆₇	C₂³	1	2	yes	—
195	C₂²×Q₈×C₆₇	C₂³	1	4	yes	—
196	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
197	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
200	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
202	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
203	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
204	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
205	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
206	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
207	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
208	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
209	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	—
210	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
211	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
212	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
213	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	—
214	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	—
215	C₄⋊Q₈×C₆₇	C₂³	1	8	yes	—
216	C₄⋊Q₈×C₆₇	C₂³	1	8	yes	—
217	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	—
218	C₄⋊Q₈×C₆₇	C₂³	1	8	yes	—
219	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	—
220	C₄⋊Q₈×C₆₇	C₂³	1	8	yes	—
221	C₄⋊Q₈×C₆₇	C₂³	1	8	yes	—
222	C₄⋊Q₈×C₆₇	C₂³	1	8	yes	—
223	#127×C₆₇	C₂³	1	1	yes	characteristic
224	#126×C₆₇	C₂³	1	4	yes	—
225	#126×C₆₇	C₂³	1	4	yes	—
226	#126×C₆₇	C₂³	1	4	yes	—
227	#126×C₆₇	C₂³	1	4	yes	—
228	#126×C₆₇	C₂³	1	4	yes	—
229	#126×C₆₇	C₂³	1	4	yes	—
230	#126×C₆₇	C₂³	1	8	yes	—
231	#126×C₆₇	C₂³	1	8	yes	—
232	#126×C₆₇	C₂³	1	8	yes	—
233	#126×C₆₇	C₂³	1	8	yes	—
234	#126×C₆₇	C₂³	1	8	yes	—
235	#126×C₆₇	C₂³	1	8	yes	—
236	#126×C₆₇	C₂³	1	8	yes	—
237	#126×C₆₇	C₂³	1	8	yes	—
238	#126×C₆₇	C₂³	1	8	yes	—
239	#126×C₆₇	C₂³	1	8	yes	—
240	#126×C₆₇	C₂³	1	8	yes	—
241	#126×C₆₇	C₂³	1	8	yes	—
242	#126×C₆₇	C₂³	1	8	yes	—
243	#125×C₆₇	C₂³	1	2	yes	—
244	#125×C₆₇	C₂³	1	2	yes	—
245	#125×C₆₇	C₂³	1	2	yes	—
246	#125×C₆₇	C₂³	1	2	yes	—
247	#125×C₆₇	C₂³	1	4	yes	—
248	#125×C₆₇	C₂³	1	4	yes	—
249	#125×C₆₇	C₂³	1	4	yes	—
250	#125×C₆₇	C₂³	1	4	yes	—
251	#125×C₆₇	C₂³	1	2	yes	—
252	#125×C₆₇	C₂³	1	2	yes	—
253	#125×C₆₇	C₂³	1	2	yes	—
254	#125×C₆₇	C₂³	1	8	yes	—
255	#125×C₆₇	C₂³	1	8	yes	—
256	#125×C₆₇	C₂³	1	8	yes	—
257	#125×C₆₇	C₂³	1	8	yes	—
258	#125×C₆₇	C₂³	1	4	yes	—
259	#125×C₆₇	C₂³	1	8	yes	—
260	#125×C₆₇	C₂³	1	8	yes	—
261	#125×C₆₇	C₂³	1	4	yes	—
262	#125×C₆₇	C₂³	1	4	yes	—
263	#125×C₆₇	C₂³	1	8	yes	—
264	#125×C₆₇	C₂³	1	8	yes	—
265	#125×C₆₇	C₂³	1	8	yes	—
266	#125×C₆₇	C₂³	1	8	yes	—
267	#125×C₆₇	C₂³	1	8	yes	—
268	#125×C₆₇	C₂³	1	8	yes	—
269	#125×C₆₇	C₂³	1	8	yes	—
270	#124×C₆₇	C₂³	1	2	yes	—
271	#124×C₆₇	C₂³	1	2	yes	—
272	#124×C₆₇	C₂³	1	2	yes	—
273	#124×C₆₇	C₂³	1	2	yes	—
274	#124×C₆₇	C₂³	1	2	yes	—
275	#124×C₆₇	C₂³	1	2	yes	—
276	#124×C₆₇	C₂³	1	2	yes	—
277	#124×C₆₇	C₂³	1	8	yes	—
278	#124×C₆₇	C₂³	1	4	yes	—
279	#124×C₆₇	C₂³	1	8	yes	—
280	#124×C₆₇	C₂³	1	8	yes	—
281	#124×C₆₇	C₂³	1	8	yes	—
282	#124×C₆₇	C₂³	1	8	yes	—
283	#124×C₆₇	C₂³	1	8	yes	—
284	#123×C₆₇	C₂³	1	4	yes	—
285	#123×C₆₇	C₂³	1	4	yes	—
286	#123×C₆₇	C₂³	1	4	yes	—
287	#123×C₆₇	C₂³	1	4	yes	—
288	#123×C₆₇	C₂³	1	4	yes	—
289	#123×C₆₇	C₂³	1	4	yes	—
290	#123×C₆₇	C₂³	1	4	yes	—
291	#123×C₆₇	C₂³	1	8	yes	—
292	#123×C₆₇	C₂³	1	8	yes	—
293	#123×C₆₇	C₂³	1	8	yes	—
294	#123×C₆₇	C₂³	1	8	yes	—
295	#123×C₆₇	C₂³	1	8	yes	—
296	#123×C₆₇	C₂³	1	8	yes	—
297	#123×C₆₇	C₂³	1	8	yes	—
298	#123×C₆₇	C₂³	1	8	yes	—
299	#123×C₆₇	C₂³	1	8	yes	—
300	#123×C₆₇	C₂³	1	8	yes	—
301	#123×C₆₇	C₂³	1	8	yes	—
302	#123×C₆₇	C₂³	1	8	yes	—
303	#123×C₆₇	C₂³	1	8	yes	—
304	#123×C₆₇	C₂³	1	8	yes	—
305	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
306	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
307	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
308	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
309	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
310	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
311	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
312	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
313	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
314	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
315	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
316	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
317	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
318	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
319	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
320	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
321	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
322	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
323	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
324	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
325	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
326	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
327	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
328	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
329	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
330	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
331	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
332	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
333	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
334	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
335	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
336	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
337	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
338	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
339	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
340	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
341	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
342	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
343	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
344	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
345	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
346	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
347	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
348	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	—
349	#121×C₆₇	C₂³	1	2	yes	—
350	#121×C₆₇	C₂³	1	2	yes	—
351	#121×C₆₇	C₂³	1	2	yes	—
352	#121×C₆₇	C₂³	1	2	yes	—
353	#121×C₆₇	C₂³	1	2	yes	—
354	#121×C₆₇	C₂³	1	2	yes	—
355	#121×C₆₇	C₂³	1	2	yes	—
356	#121×C₆₇	C₂³	1	2	yes	—
357	#121×C₆₇	C₂³	1	2	yes	—
358	#121×C₆₇	C₂³	1	2	yes	—
359	#121×C₆₇	C₂³	1	4	yes	—
360	#121×C₆₇	C₂³	1	4	yes	—
361	#121×C₆₇	C₂³	1	8	yes	—
362	#121×C₆₇	C₂³	1	8	yes	—
363	#121×C₆₇	C₂³	1	8	yes	—
364	#121×C₆₇	C₂³	1	4	yes	—
365	#121×C₆₇	C₂³	1	8	yes	—
366	#121×C₆₇	C₂³	1	8	yes	—
367	#121×C₆₇	C₂³	1	8	yes	—
368	#120×C₆₇	C₂³	1	4	yes	—
369	#120×C₆₇	C₂³	1	8	yes	—
370	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
371	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
372	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
373	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
374	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
375	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
376	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
377	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
378	C₄×Q₈×C₆₇	C₂³	1	8	yes	—
379	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
380	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
381	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
382	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
383	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
384	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
385	C₄×Q₈×C₆₇	C₂³	1	8	yes	—
386	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
387	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
388	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
389	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
390	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
391	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
392	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
393	C₄×Q₈×C₆₇	C₂³	1	2	yes	—
394	C₄×Q₈×C₆₇	C₂³	1	8	yes	—
395	C₄×Q₈×C₆₇	C₂³	1	4	yes	—
396	C₄×Q₈×C₆₇	C₂³	1	8	yes	—
397	C₄×D₄×C₆₇	C₂³	1	2	yes	—
398	C₄×D₄×C₆₇	C₂³	1	4	yes	—
399	C₄×D₄×C₆₇	C₂³	1	2	yes	—
400	C₄×D₄×C₆₇	C₂³	1	4	yes	—
401	C₄×D₄×C₆₇	C₂³	1	4	yes	—
402	C₄×D₄×C₆₇	C₂³	1	2	yes	—
403	C₄×D₄×C₆₇	C₂³	1	2	yes	—
404	C₄×D₄×C₆₇	C₂³	1	4	yes	—
405	C₄×D₄×C₆₇	C₂³	1	4	yes	—
406	C₄×D₄×C₆₇	C₂³	1	4	yes	—
407	C₄×D₄×C₆₇	C₂³	1	2	yes	—
408	C₄×D₄×C₆₇	C₂³	1	2	yes	—
409	C₄×D₄×C₆₇	C₂³	1	8	yes	—
410	C₄×D₄×C₆₇	C₂³	1	8	yes	—
411	C₄×D₄×C₆₇	C₂³	1	4	yes	—
412	C₄×D₄×C₆₇	C₂³	1	4	yes	—
413	C₄×D₄×C₆₇	C₂³	1	4	yes	—
414	C₄×D₄×C₆₇	C₂³	1	4	yes	—
415	C₄×D₄×C₆₇	C₂³	1	8	yes	—
416	C₄×D₄×C₆₇	C₂³	1	8	yes	—
417	C₄×D₄×C₆₇	C₂³	1	4	yes	—
418	C₄×D₄×C₆₇	C₂³	1	4	yes	—
419	C₄×D₄×C₆₇	C₂³	1	2	yes	—
420	C₄×D₄×C₆₇	C₂³	1	2	yes	—
421	C₄×D₄×C₆₇	C₂³	1	2	yes	—
422	C₄×D₄×C₆₇	C₂³	1	2	yes	—
423	C₄×D₄×C₆₇	C₂³	1	8	yes	—
424	C₄×D₄×C₆₇	C₂³	1	8	yes	—
425	C₄×D₄×C₆₇	C₂³	1	8	yes	—
426	C₄×D₄×C₆₇	C₂³	1	4	yes	—
427	C₄×D₄×C₆₇	C₂³	1	8	yes	—
428	#117×C₆₇	C₂³	1	4	yes	—
429	#117×C₆₇	C₂³	1	2	yes	—
430	#117×C₆₇	C₂³	1	4	yes	—
431	#117×C₆₇	C₂³	1	4	yes	—
432	#117×C₆₇	C₂³	1	4	yes	—
433	#117×C₆₇	C₂³	1	4	yes	—
434	#117×C₆₇	C₂³	1	4	yes	—
435	#117×C₆₇	C₂³	1	8	yes	—
436	#117×C₆₇	C₂³	1	4	yes	—
437	#117×C₆₇	C₂³	1	4	yes	—
438	#117×C₆₇	C₂³	1	8	yes	—
439	#117×C₆₇	C₂³	1	4	yes	—
440	#117×C₆₇	C₂³	1	4	yes	—
441	#117×C₆₇	C₂³	1	4	yes	—
442	#117×C₆₇	C₂³	1	8	yes	—
443	#117×C₆₇	C₂³	1	2	yes	—
444	#117×C₆₇	C₂³	1	2	yes	—
445	#117×C₆₇	C₂³	1	4	yes	—
446	#117×C₆₇	C₂³	1	4	yes	—
447	#117×C₆₇	C₂³	1	8	yes	—
448	#117×C₆₇	C₂³	1	4	yes	—
449	#117×C₆₇	C₂³	1	8	yes	—
450	#117×C₆₇	C₂³	1	8	yes	—
451	#117×C₆₇	C₂³	1	8	yes	—
452	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
453	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
454	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
455	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
456	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
457	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
458	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
459	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
460	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
461	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
462	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
463	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
464	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
465	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
466	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
467	C₂×C₄⋊C₄×C₆₇	C₂³	1	8	yes	—
468	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
469	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
470	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
471	C₂×C₂²⋊C₄×C₆₇	C₂³	1	8	yes	—
472	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
473	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
474	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
475	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
476	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
477	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
478	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
479	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
480	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
481	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
482	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
483	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
484	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
485	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
486	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
487	C₂×C₄²×C₆₇	C₂³	1	2	yes	—
488	C₂×C₄²×C₆₇	C₂³	1	4	yes	—
489	C₂×C₄²×C₆₇	C₂³	1	8	yes	—
490	C₂×C₄²×C₆₇	C₂³	1	4	yes	—
491	C₂×C₄²×C₆₇	C₂³	1	8	yes	—
492	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
493	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
494	#41×C₆₇	—	2	8	no	—
495	#41×C₆₇	—	4	4	no	—
496	#41×C₆₇	—	4	4	no	—
497	#41×C₆₇	—	4	16	no	—
498	#41×C₆₇	—	4	8	no	—
499	C₂×Q₈×C₆₇	—	4	4	no	—
500	C₂×Q₈×C₆₇	—	4	2	no	—
501	C₂×Q₈×C₆₇	—	4	4	no	—
502	C₂×Q₈×C₆₇	—	4	8	no	—
503	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
504	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
505	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
506	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
507	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
508	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
509	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
510	C₂×Q₈×C₆₇	C₂⁴	1	8	yes	—
511	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
512	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
513	C₂×Q₈×C₆₇	C₂⁴	1	8	yes	—
514	C₂×D₄×C₆₇	—	4	2	no	—
515	C₂×D₄×C₆₇	—	4	4	no	—
516	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
517	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
518	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
519	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
520	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
521	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
522	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
523	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
524	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
525	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
526	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
527	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
528	C₂²×C₄×C₆₇	—	2	4	no	—
529	C₂²×C₄×C₆₇	—	2	8	no	—
530	C₂²×C₄×C₆₇	—	4	2	no	—
531	C₂²×C₄×C₆₇	—	4	2	no	—
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	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
541	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
542	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
543	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
544	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
546	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
548	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
556	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
557	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
558	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
559	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
560	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
561	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
562	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
563	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
564	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
565	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
566	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
567	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
568	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
569	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
570	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
571	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
572	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
573	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
574	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
575	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
576	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
577	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
578	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
579	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
580	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
581	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
582	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
583	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
584	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
585	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
586	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
587	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
588	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
589	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
590	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
591	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
592	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
593	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
594	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
595	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
596	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
597	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
598	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
599	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
600	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
601	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
602	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
603	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
604	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
605	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
606	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
607	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
608	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
609	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
610	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
611	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
612	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
613	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
614	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
615	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
616	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
617	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
618	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
619	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
620	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
621	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
622	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
623	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
624	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
625	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
626	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
627	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
628	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
629	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
630	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
631	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
632	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
633	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
634	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
635	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
636	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
637	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
638	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
639	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
640	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
641	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
642	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
643	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
644	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
645	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
646	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
647	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
648	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
649	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
650	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
651	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
652	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
653	C₄²×C₆₇	C₂⁴	1	8	yes	—
654	C₄²×C₆₇	C₂⁴	1	4	yes	—
655	C₄²×C₆₇	C₂⁴	1	8	yes	—
656	C₄²×C₆₇	C₂⁴	1	4	yes	—
657	C₄²×C₆₇	C₂⁴	1	4	yes	—
658	C₄²×C₆₇	C₂⁴	1	8	yes	—
659	C₄²×C₆₇	C₂⁴	1	8	yes	—
660	C₄²×C₆₇	C₂⁴	1	8	yes	—
661	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
662	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
663	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
664	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
665	C₄²×C₆₇	C₂⁴	1	4	yes	—
666	C₄²×C₆₇	C₂⁴	1	8	yes	—
667	C₄²×C₆₇	C₂⁴	1	4	yes	—
668	C₂³×C₆₇	—	2	2	no	—
669	C₂³×C₆₇	—	2	2	no	—
670	C₂³×C₆₇	—	2	4	no	—
671	C₂³×C₆₇	—	4	1	no	—
672	C₂³×C₆₇	—	4	2	no	—
673	C₂³×C₆₇	—	4	2	no	—
674	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
675	C₂³×C₆₇	C₂⁵	1	4	yes	—
676	C₂³×C₆₇	C₂⁵	1	4	yes	—
677	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
678	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
679	Q₈×C₆₇	—	2	4	no	—
680	Q₈×C₆₇	—	2	4	no	—
681	Q₈×C₆₇	—	2	8	no	—
682	Q₈×C₆₇	—	4	2	no	—
683	Q₈×C₆₇	—	4	4	no	—
684	Q₈×C₆₇	—	4	4	no	—
685	Q₈×C₆₇	—	4	8	no	—
686	Q₈×C₆₇	—	4	4	no	—
687	Q₈×C₆₇	—	4	2	no	—
688	Q₈×C₆₇	—	4	2	no	—
689	Q₈×C₆₇	—	4	8	no	—
690	D₄×C₆₇	—	2	8	no	—
691	D₄×C₆₇	—	2	8	no	—
692	D₄×C₆₇	—	2	8	no	—
693	D₄×C₆₇	—	2	4	no	—
694	D₄×C₆₇	—	2	4	no	—
695	D₄×C₆₇	—	4	2	no	—
696	D₄×C₆₇	—	4	4	no	—
697	D₄×C₆₇	—	4	2	no	—
698	D₄×C₆₇	—	4	2	no	—
699	D₄×C₆₇	—	4	4	no	—
700	D₄×C₆₇	—	4	8	no	—
701	D₄×C₆₇	—	4	8	no	—
702	C₂×C₄×C₆₇	—	2	2	no	—
703	C₂×C₄×C₆₇	—	2	4	no	—
704	C₂×C₄×C₆₇	—	2	2	no	—
705	C₂×C₄×C₆₇	—	2	2	no	—
706	C₂×C₄×C₆₇	—	2	8	no	—
707	C₂×C₄×C₆₇	—	2	2	no	—
708	C₂×C₄×C₆₇	—	2	2	no	—
709	C₂×C₄×C₆₇	—	2	8	no	—
710	C₂×C₄×C₆₇	—	2	2	no	—
711	C₂×C₄×C₆₇	—	2	2	no	—
712	C₂×C₄×C₆₇	—	2	8	no	—
713	C₂×C₄×C₆₇	—	2	8	no	—
714	C₂×C₄×C₆₇	—	2	2	no	—
715	C₂×C₄×C₆₇	—	2	2	no	—
716	C₂×C₄×C₆₇	—	2	2	no	—
717	C₂×C₄×C₆₇	—	2	8	no	—
718	C₂×C₄×C₆₇	—	4	1	no	—
719	C₂×C₄×C₆₇	—	4	1	no	—
720	C₂×C₄×C₆₇	—	4	1	no	—
721	C₂×C₄×C₆₇	—	4	1	no	—
722	C₂×C₄×C₆₇	—	4	1	no	—
723	C₂×C₄×C₆₇	—	4	1	no	—
724	C₂×C₄×C₆₇	—	4	1	no	—
725	C₂×C₄×C₆₇	—	4	2	no	—
726	C₂×C₄×C₆₇	—	4	4	no	—
727	C₂×C₄×C₆₇	—	4	8	no	—
728	C₂×C₄×C₆₇	—	4	2	no	—
729	C₂×C₄×C₆₇	—	4	4	no	—
730	C₂×C₄×C₆₇	—	4	8	no	—
731	C₂×C₄×C₆₇	—	4	8	no	—
732	C₂×C₄×C₆₇	—	4	8	no	—
733	C₂×C₄×C₆₇	2₋¹⁺⁴	1	4	yes	—
734	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
735	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
736	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
737	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
738	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
739	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
740	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
741	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
742	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
743	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
744	C₂×C₄×C₆₇	C₂⁵	1	8	yes	—
745	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
746	C₂×C₄×C₆₇	C₂⁵	1	8	yes	—
747	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
748	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
749	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
750	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
751	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
752	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
753	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
754	C₂²×C₆₇	—	2	1	no	—
755	C₂²×C₆₇	—	2	1	no	—
756	C₂²×C₆₇	—	2	1	no	—
757	C₂²×C₆₇	—	2	1	no	—
758	C₂²×C₆₇	—	2	1	no	—
759	C₂²×C₆₇	—	2	4	no	—
760	C₂²×C₆₇	—	2	4	no	—
761	C₂²×C₆₇	—	2	4	no	—
762	C₂²×C₆₇	—	2	1	no	—
763	C₂²×C₆₇	—	2	4	no	—
764	C₂²×C₆₇	—	2	4	no	—
765	C₂²×C₆₇	—	2	4	no	—
766	C₂²×C₆₇	—	2	1	no	—
767	C₂²×C₆₇	—	4	4	no	—
768	C₂²×C₆₇	—	8	4	no	—
769	C₂²×C₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
770	C₂²×C₆₇	#585	1	2	yes	—
771	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
772	C₄×C₆₇	—	2	1	no	—
773	C₄×C₆₇	—	2	1	no	—
774	C₄×C₆₇	—	2	4	no	—
775	C₄×C₆₇	—	2	4	no	—
776	C₄×C₆₇	—	2	1	no	—
777	C₄×C₆₇	—	2	1	no	—
778	C₄×C₆₇	—	2	1	no	—
779	C₄×C₆₇	—	2	1	no	—
780	C₄×C₆₇	—	2	8	no	—
781	C₄×C₆₇	—	2	4	no	—
782	C₄×C₆₇	—	2	1	no	—
783	C₄×C₆₇	—	2	1	no	—
784	C₄×C₆₇	—	2	1	no	—
785	C₄×C₆₇	—	2	4	no	—
786	C₄×C₆₇	—	2	4	no	—
787	C₄×C₆₇	—	2	8	no	—
788	C₄×C₆₇	—	2	4	no	—
789	C₄×C₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
790	C₄×C₆₇	C₂×2₋¹⁺⁴	1	2	yes	—
791	C₄×C₆₇	#585	1	2	yes	—
792	#62752	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
793	C₂×C₆₇	—	2	2	no	—
794	C₂×C₆₇	—	2	2	no	—
795	C₂×C₆₇	—	4	4	no	—
796	C₂×C₆₇	—	4	1	no	—
797	C₂×C₆₇	—	4	4	no	—
798	C₂×C₆₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
799	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
800	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
801	#3565	C₂×C₆₇	1	4	yes	complemented
802	#3564	C₂×C₆₇	1	4	yes	complemented
803	#3563	C₂×C₆₇	1	2	yes	complemented
804	#3563	C₂×C₆₇	1	2	yes	complemented
805	#3561	C₂×C₆₇	1	2	yes	complemented
806	#3559	C₂×C₆₇	1	2	yes	complemented
807	#3555	C₂×C₆₇	1	2	yes	complemented
808	#3552	C₂×C₆₇	1	2	yes	complemented
809	#3547	C₂×C₆₇	1	2	yes	complemented
810	#3544	C₂×C₆₇	1	2	yes	complemented
811	#3538	C₂×C₆₇	1	2	yes	complemented
812	#3536	C₂×C₆₇	1	2	yes	complemented
813	#3535	C₂×C₆₇	1	4	yes	complemented
814	#3531	C₂×C₆₇	1	4	yes	complemented
815	#3482	C₂×C₆₇	1	4	yes	complemented
816	Q₈×#41	C₂×C₆₇	1	2	yes	complemented
817	#3475	C₂×C₆₇	1	4	yes	complemented
818	#3475	C₂×C₆₇	1	2	yes	complemented
819	#3461	C₂×C₆₇	1	4	yes	complemented
820	#3461	C₂×C₆₇	1	4	yes	complemented
821	#3458	C₂×C₆₇	1	2	yes	complemented
822	#3455	C₂×C₆₇	1	2	yes	complemented
823	#3444	C₂×C₆₇	1	1	yes	characteristic, complemented
824	C₂×#533	C₂×C₆₇	1	1	yes	characteristic, complemented
825	C₂×#529	C₂×C₆₇	1	1	yes	characteristic, complemented
826	C₆₇	#62752	1	1	yes	characteristic, direct product factor, Sylow
827	#564	C₂²×C₆₇	1	4	yes	complemented
828	#563	C₂²×C₆₇	1	8	yes	complemented
829	#563	C₂²×C₆₇	1	8	yes	complemented
830	#563	C₂²×C₆₇	1	8	yes	complemented
831	#563	C₂²×C₆₇	1	8	yes	complemented
832	#563	C₂²×C₆₇	1	4	yes	complemented
833	#563	C₂²×C₆₇	1	4	yes	complemented
834	#562	C₂²×C₆₇	1	8	yes	—
835	#562	C₂²×C₆₇	1	8	yes	complemented
836	#562	C₂²×C₆₇	1	4	yes	complemented
837	Q₈²	C₂²×C₆₇	1	2	yes	complemented
838	#557	C₂²×C₆₇	1	2	yes	complemented
839	#557	C₂²×C₆₇	1	4	yes	complemented
840	#557	C₂²×C₆₇	1	4	yes	complemented
841	#556	C₂²×C₆₇	1	2	yes	complemented
842	#556	C₂²×C₆₇	1	4	yes	complemented
843	#556	C₂²×C₆₇	1	4	yes	complemented
844	#556	C₂²×C₆₇	1	8	yes	complemented
845	#555	C₂²×C₆₇	1	2	yes	complemented
846	#555	C₂²×C₆₇	1	4	yes	complemented
847	#554	C₂²×C₆₇	1	8	yes	—
848	#554	C₂²×C₆₇	1	4	yes	—
849	#554	C₂²×C₆₇	1	2	yes	complemented
850	#554	C₂²×C₆₇	1	4	yes	complemented
851	#554	C₂²×C₆₇	1	2	yes	complemented
852	#554	C₂²×C₆₇	1	4	yes	complemented
853	#553	C₂²×C₆₇	1	4	yes	complemented
854	#553	C₂²×C₆₇	1	4	yes	complemented
855	#553	C₂²×C₆₇	1	4	yes	complemented
856	#552	C₂²×C₆₇	1	4	yes	—
857	#552	C₂²×C₆₇	1	8	yes	—
858	#552	C₂²×C₆₇	1	4	yes	complemented
859	#552	C₂²×C₆₇	1	4	yes	complemented
860	#552	C₂²×C₆₇	1	4	yes	complemented
861	#552	C₂²×C₆₇	1	8	yes	complemented
862	#552	C₂²×C₆₇	1	4	yes	complemented
863	#552	C₂²×C₆₇	1	4	yes	complemented
864	#552	C₂²×C₆₇	1	8	yes	complemented
865	#551	C₂²×C₆₇	1	8	yes	—
866	#551	C₂²×C₆₇	1	8	yes	—
867	#551	C₂²×C₆₇	1	8	yes	—
868	D₄×Q₈	C₂²×C₆₇	1	4	yes	—
869	D₄×Q₈	C₂²×C₆₇	1	2	yes	complemented
870	D₄×Q₈	C₂²×C₆₇	1	4	yes	complemented
871	#548	C₂²×C₆₇	1	4	yes	—
872	#548	C₂²×C₆₇	1	4	yes	complemented
873	#547	C₂²×C₆₇	1	4	yes	—
874	#547	C₂²×C₆₇	1	4	yes	complemented
875	#547	C₂²×C₆₇	1	2	yes	complemented
876	#547	C₂²×C₆₇	1	8	yes	complemented
877	#546	C₂²×C₆₇	1	8	yes	—
878	#546	C₂²×C₆₇	1	4	yes	—
879	#544	C₂²×C₆₇	1	4	yes	—
880	#544	C₂²×C₆₇	1	4	yes	—
881	#544	C₂²×C₆₇	1	4	yes	complemented
882	#544	C₂²×C₆₇	1	4	yes	complemented
883	#544	C₂²×C₆₇	1	4	yes	complemented
884	#544	C₂²×C₆₇	1	4	yes	complemented
885	#544	C₂²×C₆₇	1	4	yes	complemented
886	#544	C₂²×C₆₇	1	4	yes	complemented
887	#543	C₂²×C₆₇	1	4	yes	—
888	#543	C₂²×C₆₇	1	4	yes	—
889	#542	C₂²×C₆₇	1	4	yes	—
890	#542	C₂²×C₆₇	1	4	yes	complemented
891	#542	C₂²×C₆₇	1	4	yes	complemented
892	#542	C₂²×C₆₇	1	8	yes	complemented
893	#542	C₂²×C₆₇	1	4	yes	complemented
894	#542	C₂²×C₆₇	1	8	yes	complemented
895	#542	C₂²×C₆₇	1	8	yes	complemented
896	#541	C₂²×C₆₇	1	4	yes	complemented
897	#541	C₂²×C₆₇	1	4	yes	complemented
898	#541	C₂²×C₆₇	1	4	yes	complemented
899	#541	C₂²×C₆₇	1	8	yes	complemented
900	#541	C₂²×C₆₇	1	8	yes	complemented
901	#541	C₂²×C₆₇	1	8	yes	complemented
902	#540	C₂²×C₆₇	1	4	yes	complemented
903	#539	C₂²×C₆₇	1	4	yes	—
904	#539	C₂²×C₆₇	1	4	yes	—
905	#539	C₂²×C₆₇	1	4	yes	—
906	#539	C₂²×C₆₇	1	8	yes	complemented
907	#539	C₂²×C₆₇	1	8	yes	complemented
908	#539	C₂²×C₆₇	1	4	yes	complemented
909	#539	C₂²×C₆₇	1	8	yes	complemented
910	#538	C₂²×C₆₇	1	4	yes	—
911	#538	C₂²×C₆₇	1	4	yes	—
912	#537	C₂²×C₆₇	1	4	yes	—
913	#537	C₂²×C₆₇	1	4	yes	—
914	#536	C₂²×C₆₇	1	8	yes	complemented
915	#536	C₂²×C₆₇	1	4	yes	complemented
916	#536	C₂²×C₆₇	1	4	yes	complemented
917	#533	C₂²×C₆₇	1	2	yes	—
918	#533	C₂²×C₆₇	1	2	yes	—
919	#533	C₂²×C₆₇	1	2	yes	—
920	#533	C₂²×C₆₇	1	2	yes	—
921	#533	C₂²×C₆₇	1	1	yes	characteristic
922	#533	C₂²×C₆₇	1	4	yes	—
923	#533	C₂²×C₆₇	1	2	yes	complemented
924	#533	C₂²×C₆₇	1	2	yes	complemented
925	#533	C₂²×C₆₇	1	2	yes	complemented
926	#533	C₂²×C₆₇	1	2	yes	complemented
927	#533	C₂²×C₆₇	1	1	yes	characteristic, complemented
928	#533	C₂²×C₆₇	1	1	yes	characteristic, complemented
929	#533	C₂²×C₆₇	1	8	yes	complemented
930	#533	C₂²×C₆₇	1	8	yes	complemented
931	#533	C₂²×C₆₇	1	4	yes	complemented
932	#533	C₂²×C₆₇	1	8	yes	complemented
933	#532	C₂²×C₆₇	1	1	yes	characteristic
934	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
935	#532	C₂²×C₆₇	1	1	yes	characteristic, complemented
936	C₂×C₄⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
937	C₂×C₄⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
938	#529	C₂²×C₆₇	1	2	yes	—
939	#529	C₂²×C₆₇	1	2	yes	—
940	#529	C₂²×C₆₇	1	2	yes	—
941	#529	C₂²×C₆₇	1	2	yes	—
942	#529	C₂²×C₆₇	1	2	yes	—
943	#529	C₂²×C₆₇	1	2	yes	—
944	#529	C₂²×C₆₇	1	2	yes	—
945	#529	C₂²×C₆₇	1	2	yes	—
946	#529	C₂²×C₆₇	1	2	yes	—
947	#529	C₂²×C₆₇	1	2	yes	—
948	#529	C₂²×C₆₇	1	2	yes	complemented
949	#529	C₂²×C₆₇	1	2	yes	complemented
950	#529	C₂²×C₆₇	1	2	yes	complemented
951	#529	C₂²×C₆₇	1	2	yes	complemented
952	#529	C₂²×C₆₇	1	8	yes	complemented
953	#529	C₂²×C₆₇	1	8	yes	complemented
954	#529	C₂²×C₆₇	1	8	yes	complemented
955	#529	C₂²×C₆₇	1	4	yes	complemented
956	#529	C₂²×C₆₇	1	8	yes	complemented
957	#529	C₂²×C₆₇	1	8	yes	complemented
958	#529	C₂²×C₆₇	1	8	yes	complemented
959	C₂×#126	C₂²×C₆₇	1	2	yes	—
960	C₂×#125	C₂²×C₆₇	1	1	yes	characteristic
961	C₂×#125	C₂²×C₆₇	1	2	yes	complemented
962	C₂×#124	C₂²×C₆₇	1	1	yes	characteristic
963	#525	C₂²×C₆₇	1	2	yes	—
964	#525	C₂²×C₆₇	1	2	yes	—
965	#525	C₂²×C₆₇	1	2	yes	—
966	#525	C₂²×C₆₇	1	4	yes	—
967	C₂×#123	C₂²×C₆₇	1	2	yes	—
968	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
969	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	2	yes	—
970	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	2	yes	—
971	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
972	C₄×#41	C₂²×C₆₇	1	2	yes	—
973	C₄×#41	C₂²×C₆₇	1	4	yes	—
974	C₄×#41	C₂²×C₆₇	1	2	yes	complemented
975	C₄×#41	C₂²×C₆₇	1	2	yes	complemented
976	C₄×#41	C₂²×C₆₇	1	8	yes	complemented
977	C₄×#41	C₂²×C₆₇	1	4	yes	complemented
978	C₂×C₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic
979	C₂×C₄×Q₈	C₂²×C₆₇	1	2	yes	complemented
980	C₂×C₄×Q₈	C₂²×C₆₇	1	2	yes	complemented
981	C₂×C₄×Q₈	C₂²×C₆₇	1	4	yes	complemented
982	C₂×C₄×D₄	C₂²×C₆₇	1	2	yes	—
983	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
984	C₂×#117	C₂²×C₆₇	1	2	yes	—
985	C₂×#117	C₂²×C₆₇	1	2	yes	—
986	C₂×#117	C₂²×C₆₇	1	4	yes	—
987	C₂²×C₄²	C₂²×C₆₇	1	1	yes	characteristic
988	C₂×#41	C₂³×C₆₇	1	2	yes	—
989	C₂×#41	C₂³×C₆₇	1	2	yes	—
990	C₂×#41	C₂³×C₆₇	1	2	yes	—
991	C₂×#41	C₂³×C₆₇	1	8	yes	—
992	C₂×#41	C₂³×C₆₇	1	4	yes	—
993	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
994	C₂²×Q₈	C₂³×C₆₇	1	2	yes	—
995	C₂²×Q₈	C₂³×C₆₇	1	2	yes	—
996	C₂²×Q₈	C₂³×C₆₇	1	4	yes	—
997	C₂²×D₄	C₂³×C₆₇	1	2	yes	—
998	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
999	C₂³×C₄	C₂³×C₆₇	1	2	yes	—
1000	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1001	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1002	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
1003	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1004	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1005	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1006	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1007	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1008	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1009	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1010	C₄⋊Q₈	C₂³×C₆₇	1	2	yes	—
1011	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1012	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1013	C₄⋊Q₈	C₂³×C₆₇	1	1	yes	characteristic
1014	C₄⋊Q₈	C₂³×C₆₇	1	4	yes	—
1015	C₄⋊Q₈	C₂³×C₆₇	1	4	yes	—
1016	C₄⋊Q₈	C₂³×C₆₇	1	8	yes	—
1017	C₄⋊Q₈	C₂³×C₆₇	1	8	yes	—
1018	C₄⋊Q₈	C₂³×C₆₇	1	4	yes	—
1019	C₄⋊Q₈	C₂³×C₆₇	1	8	yes	—
1020	C₄⋊Q₈	C₂³×C₆₇	1	4	yes	—
1021	C₄⋊Q₈	C₂³×C₆₇	1	8	yes	—
1022	C₄⋊Q₈	C₂³×C₆₇	1	8	yes	—
1023	C₄⋊Q₈	C₂³×C₆₇	1	8	yes	—
1024	#127	C₂³×C₆₇	1	1	yes	characteristic
1025	#126	C₂³×C₆₇	1	4	yes	—
1026	#126	C₂³×C₆₇	1	4	yes	—
1027	#126	C₂³×C₆₇	1	4	yes	—
1028	#126	C₂³×C₆₇	1	4	yes	—
1029	#126	C₂³×C₆₇	1	4	yes	—
1030	#126	C₂³×C₆₇	1	4	yes	—
1031	#126	C₂³×C₆₇	1	8	yes	—
1032	#126	C₂³×C₆₇	1	8	yes	—
1033	#126	C₂³×C₆₇	1	8	yes	—
1034	#126	C₂³×C₆₇	1	8	yes	—
1035	#126	C₂³×C₆₇	1	8	yes	—
1036	#126	C₂³×C₆₇	1	8	yes	—
1037	#126	C₂³×C₆₇	1	8	yes	—
1038	#126	C₂³×C₆₇	1	8	yes	—
1039	#126	C₂³×C₆₇	1	8	yes	—
1040	#126	C₂³×C₆₇	1	8	yes	—
1041	#126	C₂³×C₆₇	1	8	yes	—
1042	#126	C₂³×C₆₇	1	8	yes	—
1043	#126	C₂³×C₆₇	1	8	yes	—
1044	#125	C₂³×C₆₇	1	2	yes	—
1045	#125	C₂³×C₆₇	1	2	yes	—
1046	#125	C₂³×C₆₇	1	2	yes	—
1047	#125	C₂³×C₆₇	1	2	yes	—
1048	#125	C₂³×C₆₇	1	4	yes	—
1049	#125	C₂³×C₆₇	1	4	yes	—
1050	#125	C₂³×C₆₇	1	4	yes	—
1051	#125	C₂³×C₆₇	1	4	yes	—
1052	#125	C₂³×C₆₇	1	2	yes	—
1053	#125	C₂³×C₆₇	1	2	yes	—
1054	#125	C₂³×C₆₇	1	2	yes	—
1055	#125	C₂³×C₆₇	1	8	yes	—
1056	#125	C₂³×C₆₇	1	8	yes	—
1057	#125	C₂³×C₆₇	1	8	yes	—
1058	#125	C₂³×C₆₇	1	8	yes	—
1059	#125	C₂³×C₆₇	1	4	yes	—
1060	#125	C₂³×C₆₇	1	8	yes	—
1061	#125	C₂³×C₆₇	1	8	yes	—
1062	#125	C₂³×C₆₇	1	4	yes	—
1063	#125	C₂³×C₆₇	1	4	yes	—
1064	#125	C₂³×C₆₇	1	8	yes	—
1065	#125	C₂³×C₆₇	1	8	yes	—
1066	#125	C₂³×C₆₇	1	8	yes	—
1067	#125	C₂³×C₆₇	1	8	yes	—
1068	#125	C₂³×C₆₇	1	8	yes	—
1069	#125	C₂³×C₆₇	1	8	yes	—
1070	#125	C₂³×C₆₇	1	8	yes	—
1071	#124	C₂³×C₆₇	1	2	yes	—
1072	#124	C₂³×C₆₇	1	2	yes	—
1073	#124	C₂³×C₆₇	1	2	yes	—
1074	#124	C₂³×C₆₇	1	2	yes	—
1075	#124	C₂³×C₆₇	1	2	yes	—
1076	#124	C₂³×C₆₇	1	2	yes	—
1077	#124	C₂³×C₆₇	1	2	yes	—
1078	#124	C₂³×C₆₇	1	8	yes	—
1079	#124	C₂³×C₆₇	1	4	yes	—
1080	#124	C₂³×C₆₇	1	8	yes	—
1081	#124	C₂³×C₆₇	1	8	yes	—
1082	#124	C₂³×C₆₇	1	8	yes	—
1083	#124	C₂³×C₆₇	1	8	yes	—
1084	#124	C₂³×C₆₇	1	8	yes	—
1085	#123	C₂³×C₆₇	1	4	yes	—
1086	#123	C₂³×C₆₇	1	4	yes	—
1087	#123	C₂³×C₆₇	1	4	yes	—
1088	#123	C₂³×C₆₇	1	4	yes	—
1089	#123	C₂³×C₆₇	1	4	yes	—
1090	#123	C₂³×C₆₇	1	4	yes	—
1091	#123	C₂³×C₆₇	1	4	yes	—
1092	#123	C₂³×C₆₇	1	8	yes	—
1093	#123	C₂³×C₆₇	1	8	yes	—
1094	#123	C₂³×C₆₇	1	8	yes	—
1095	#123	C₂³×C₆₇	1	8	yes	—
1096	#123	C₂³×C₆₇	1	8	yes	—
1097	#123	C₂³×C₆₇	1	8	yes	—
1098	#123	C₂³×C₆₇	1	8	yes	—
1099	#123	C₂³×C₆₇	1	8	yes	—
1100	#123	C₂³×C₆₇	1	8	yes	—
1101	#123	C₂³×C₆₇	1	8	yes	—
1102	#123	C₂³×C₆₇	1	8	yes	—
1103	#123	C₂³×C₆₇	1	8	yes	—
1104	#123	C₂³×C₆₇	1	8	yes	—
1105	#123	C₂³×C₆₇	1	8	yes	—
1106	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1107	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1108	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1109	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1110	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1111	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1112	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1113	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1114	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1115	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1116	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1117	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1118	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1119	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1120	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1121	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1122	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1123	C₂²⋊Q₈	C₂³×C₆₇	1	2	yes	—
1124	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1125	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1126	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1127	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1128	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1129	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1130	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1131	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1132	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1133	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1134	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1135	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1136	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1137	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1138	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1139	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1140	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1141	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	—
1142	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1143	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1144	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1145	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1146	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1147	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1148	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1149	C₂²⋊Q₈	C₂³×C₆₇	1	8	yes	—
1150	#121	C₂³×C₆₇	1	2	yes	—
1151	#121	C₂³×C₆₇	1	2	yes	—
1152	#121	C₂³×C₆₇	1	2	yes	—
1153	#121	C₂³×C₆₇	1	2	yes	—
1154	#121	C₂³×C₆₇	1	2	yes	—
1155	#121	C₂³×C₆₇	1	2	yes	—
1156	#121	C₂³×C₆₇	1	2	yes	—
1157	#121	C₂³×C₆₇	1	2	yes	—
1158	#121	C₂³×C₆₇	1	2	yes	—
1159	#121	C₂³×C₆₇	1	2	yes	—
1160	#121	C₂³×C₆₇	1	4	yes	—
1161	#121	C₂³×C₆₇	1	4	yes	—
1162	#121	C₂³×C₆₇	1	8	yes	—
1163	#121	C₂³×C₆₇	1	8	yes	—
1164	#121	C₂³×C₆₇	1	8	yes	—
1165	#121	C₂³×C₆₇	1	4	yes	—
1166	#121	C₂³×C₆₇	1	8	yes	—
1167	#121	C₂³×C₆₇	1	8	yes	—
1168	#121	C₂³×C₆₇	1	8	yes	—
1169	#120	C₂³×C₆₇	1	4	yes	—
1170	#120	C₂³×C₆₇	1	8	yes	—
1171	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1172	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1173	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1174	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1175	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1176	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1177	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1178	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1179	C₄×Q₈	C₂³×C₆₇	1	8	yes	—
1180	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1181	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1182	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1183	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1184	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1185	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1186	C₄×Q₈	C₂³×C₆₇	1	8	yes	—
1187	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1188	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1189	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1190	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1191	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1192	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1193	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1194	C₄×Q₈	C₂³×C₆₇	1	2	yes	—
1195	C₄×Q₈	C₂³×C₆₇	1	8	yes	—
1196	C₄×Q₈	C₂³×C₆₇	1	4	yes	—
1197	C₄×Q₈	C₂³×C₆₇	1	8	yes	—
1198	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1199	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1200	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1201	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1202	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1203	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1204	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1205	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1206	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1207	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1208	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1209	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1210	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1211	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1212	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1213	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1214	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1215	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1216	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1217	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1218	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1219	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1220	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1221	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1222	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1223	C₄×D₄	C₂³×C₆₇	1	2	yes	—
1224	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1225	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1226	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1227	C₄×D₄	C₂³×C₆₇	1	4	yes	—
1228	C₄×D₄	C₂³×C₆₇	1	8	yes	—
1229	#117	C₂³×C₆₇	1	4	yes	—
1230	#117	C₂³×C₆₇	1	2	yes	—
1231	#117	C₂³×C₆₇	1	4	yes	—
1232	#117	C₂³×C₆₇	1	4	yes	—
1233	#117	C₂³×C₆₇	1	4	yes	—
1234	#117	C₂³×C₆₇	1	4	yes	—
1235	#117	C₂³×C₆₇	1	4	yes	—
1236	#117	C₂³×C₆₇	1	8	yes	—
1237	#117	C₂³×C₆₇	1	4	yes	—
1238	#117	C₂³×C₆₇	1	4	yes	—
1239	#117	C₂³×C₆₇	1	8	yes	—
1240	#117	C₂³×C₆₇	1	4	yes	—
1241	#117	C₂³×C₆₇	1	4	yes	—
1242	#117	C₂³×C₆₇	1	4	yes	—
1243	#117	C₂³×C₆₇	1	8	yes	—
1244	#117	C₂³×C₆₇	1	2	yes	—
1245	#117	C₂³×C₆₇	1	2	yes	—
1246	#117	C₂³×C₆₇	1	4	yes	—
1247	#117	C₂³×C₆₇	1	4	yes	—
1248	#117	C₂³×C₆₇	1	8	yes	—
1249	#117	C₂³×C₆₇	1	4	yes	—
1250	#117	C₂³×C₆₇	1	8	yes	—
1251	#117	C₂³×C₆₇	1	8	yes	—
1252	#117	C₂³×C₆₇	1	8	yes	—
1253	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1254	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1255	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1256	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1257	C₂×C₄⋊C₄	C₂³×C₆₇	1	4	yes	—
1258	C₂×C₄⋊C₄	C₂³×C₆₇	1	4	yes	—
1259	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1260	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1261	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
1262	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1263	C₂×C₄⋊C₄	C₂³×C₆₇	1	4	yes	—
1264	C₂×C₄⋊C₄	C₂³×C₆₇	1	4	yes	—
1265	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1266	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
1267	C₂×C₄⋊C₄	C₂³×C₆₇	1	4	yes	—
1268	C₂×C₄⋊C₄	C₂³×C₆₇	1	8	yes	—
1269	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1270	C₂×C₂²⋊C₄	C₂³×C₆₇	1	4	yes	—
1271	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1272	C₂×C₂²⋊C₄	C₂³×C₆₇	1	8	yes	—
1273	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1274	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1275	C₂×C₂²⋊C₄	C₂³×C₆₇	1	2	yes	—
1276	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1277	C₂×C₄²	C₂³×C₆₇	1	2	yes	—
1278	C₂×C₄²	C₂³×C₆₇	1	4	yes	—
1279	C₂×C₄²	C₂³×C₆₇	1	8	yes	—
1280	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1281	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1282	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1283	C₂×C₄²	C₂³×C₆₇	1	4	yes	—
1284	C₂×C₄²	C₂³×C₆₇	1	8	yes	—
1285	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1286	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1287	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1288	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1289	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1290	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1291	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1292	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
1293	C₂⁴	C₂⁴×C₆₇	1	1	yes	characteristic
1294	C₂⁴	C₂⁴×C₆₇	1	2	yes	—
1295	#41	—	2	8	no	—
1296	#41	—	4	4	no	—
1297	#41	—	4	4	no	—
1298	#41	—	4	16	no	—
1299	#41	—	4	8	no	—
1300	C₂×Q₈	—	4	4	no	—
1301	C₂×Q₈	—	4	2	no	—
1302	C₂×Q₈	—	4	4	no	—
1303	C₂×Q₈	—	4	8	no	—
1304	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1305	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1306	C₂×Q₈	C₂⁴×C₆₇	1	4	yes	—
1307	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1308	C₂×Q₈	C₂⁴×C₆₇	1	4	yes	—
1309	C₂×Q₈	C₂⁴×C₆₇	1	4	yes	—
1310	C₂×Q₈	C₂⁴×C₆₇	1	4	yes	—
1311	C₂×Q₈	C₂⁴×C₆₇	1	8	yes	—
1312	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1313	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
1314	C₂×Q₈	C₂⁴×C₆₇	1	8	yes	—
1315	C₂×D₄	—	4	2	no	—
1316	C₂×D₄	—	4	4	no	—
1317	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1318	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1319	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1320	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1321	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1322	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1323	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1324	C₂×D₄	C₂⁴×C₆₇	1	8	yes	—
1325	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1326	C₂×D₄	C₂⁴×C₆₇	1	4	yes	—
1327	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1328	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
1329	C₂²×C₄	—	2	4	no	—
1330	C₂²×C₄	—	2	8	no	—
1331	C₂²×C₄	—	4	2	no	—
1332	C₂²×C₄	—	4	2	no	—
1333	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1334	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1335	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1337	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1338	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1339	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1340	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1341	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1342	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1343	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1345	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1346	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1347	C₂²×C₄	C₂⁴×C₆₇	1	2	yes	—
1348	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1349	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1350	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1351	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1352	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1353	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₆₇	1	2	yes	—
1357	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1358	C₂²×C₄	C₂⁴×C₆₇	1	2	yes	—
1359	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1360	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1361	C₂²×C₄	C₂⁴×C₆₇	1	4	yes	—
1362	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1363	C₂²×C₄	C₂⁴×C₆₇	1	8	yes	—
1364	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
1365	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1366	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1367	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1368	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1369	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1370	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1371	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1372	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1373	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1374	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1375	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1376	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1377	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1378	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1379	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1380	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1381	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1382	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1383	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1384	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1385	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1386	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1387	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1388	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1389	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1390	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1391	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1392	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1393	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1394	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1395	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1396	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1397	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1398	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1399	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1400	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1401	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
1402	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1403	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1404	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1405	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1406	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1407	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1408	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1409	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1410	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1411	C₄⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1412	C₄⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1413	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1414	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1415	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1416	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1417	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1418	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1419	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1420	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1421	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1422	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1423	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1424	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1425	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1426	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1427	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1428	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1429	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1430	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1431	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1432	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1433	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1434	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1435	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1436	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1437	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1438	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1439	C₂²⋊C₄	C₂⁴×C₆₇	1	8	yes	—
1440	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1441	C₂²⋊C₄	C₂⁴×C₆₇	1	4	yes	—
1442	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1443	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1444	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1445	C₄²	C₂⁴×C₆₇	1	4	yes	—
1446	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1447	C₄²	C₂⁴×C₆₇	1	8	yes	—
1448	C₄²	C₂⁴×C₆₇	1	4	yes	—
1449	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1450	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1451	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1452	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1453	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1454	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1455	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1456	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1457	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1458	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1459	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1460	C₄²	C₂⁴×C₆₇	1	1	yes	characteristic
1461	C₄²	C₂⁴×C₆₇	1	8	yes	—
1462	C₄²	C₂⁴×C₆₇	1	4	yes	—
1463	C₄²	C₂⁴×C₆₇	1	8	yes	—
1464	C₄²	C₂⁴×C₆₇	1	4	yes	—
1465	C₄²	C₂⁴×C₆₇	1	4	yes	—
1466	C₄²	C₂⁴×C₆₇	1	8	yes	—
1467	C₄²	C₂⁴×C₆₇	1	8	yes	—
1468	C₄²	C₂⁴×C₆₇	1	8	yes	—
1469	C₂³	—	2	2	no	—
1470	C₂³	—	2	2	no	—
1471	C₂³	—	2	4	no	—
1472	C₂³	—	4	1	no	—
1473	C₂³	—	4	2	no	—
1474	C₂³	—	4	2	no	—
1475	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1476	C₂³	C₂⁵×C₆₇	1	4	yes	—
1477	C₂³	C₂⁵×C₆₇	1	4	yes	—
1478	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1479	C₂³	C₂⁵×C₆₇	1	1	yes	characteristic
1480	Q₈	—	2	4	no	—
1481	Q₈	—	2	4	no	—
1482	Q₈	—	2	8	no	—
1483	Q₈	—	4	2	no	—
1484	Q₈	—	4	4	no	—
1485	Q₈	—	4	4	no	—
1486	Q₈	—	4	8	no	—
1487	Q₈	—	4	4	no	—
1488	Q₈	—	4	2	no	—
1489	Q₈	—	4	2	no	—
1490	Q₈	—	4	8	no	—
1491	D₄	—	2	8	no	—
1492	D₄	—	2	8	no	—
1493	D₄	—	2	8	no	—
1494	D₄	—	2	4	no	—
1495	D₄	—	2	4	no	—
1496	D₄	—	4	2	no	—
1497	D₄	—	4	4	no	—
1498	D₄	—	4	2	no	—
1499	D₄	—	4	2	no	—
1500	D₄	—	4	4	no	—
1501	D₄	—	4	8	no	—
1502	D₄	—	4	8	no	—
1503	C₂×C₄	—	2	2	no	—
1504	C₂×C₄	—	2	4	no	—
1505	C₂×C₄	—	2	2	no	—
1506	C₂×C₄	—	2	2	no	—
1507	C₂×C₄	—	2	8	no	—
1508	C₂×C₄	—	2	2	no	—
1509	C₂×C₄	—	2	2	no	—
1510	C₂×C₄	—	2	8	no	—
1511	C₂×C₄	—	2	2	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	8	no	—
1514	C₂×C₄	—	2	8	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	2	no	—
1518	C₂×C₄	—	2	8	no	—
1519	C₂×C₄	—	4	1	no	—
1520	C₂×C₄	—	4	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	1	no	—
1525	C₂×C₄	—	4	1	no	—
1526	C₂×C₄	—	4	2	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	8	no	—
1529	C₂×C₄	—	4	2	no	—
1530	C₂×C₄	—	4	4	no	—
1531	C₂×C₄	—	4	8	no	—
1532	C₂×C₄	—	4	8	no	—
1533	C₂×C₄	—	4	8	no	—
1534	C₂×C₄	2₋¹⁺⁴×C₆₇	1	4	yes	—
1535	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1536	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1537	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1538	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1539	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1540	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1541	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1542	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1543	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1544	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1545	C₂×C₄	C₂⁵×C₆₇	1	8	yes	—
1546	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1547	C₂×C₄	C₂⁵×C₆₇	1	8	yes	—
1548	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1549	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1550	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1551	C₂×C₄	C₂⁵×C₆₇	1	4	yes	—
1552	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1553	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1554	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	2	1	no	—
1558	C₂²	—	2	1	no	—
1559	C₂²	—	2	1	no	—
1560	C₂²	—	2	4	no	—
1561	C₂²	—	2	4	no	—
1562	C₂²	—	2	4	no	—
1563	C₂²	—	2	1	no	—
1564	C₂²	—	2	4	no	—
1565	C₂²	—	2	4	no	—
1566	C₂²	—	2	4	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	4	4	no	—
1569	C₂²	—	8	4	no	—
1570	C₂²	C₂×2₋¹⁺⁴×C₆₇	1	2	yes	—
1571	C₂²	#585×C₆₇	1	2	yes	—
1572	C₂²	C₂⁶×C₆₇	1	1	yes	characteristic
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	2	4	no	—
1576	C₄	—	2	4	no	—
1577	C₄	—	2	1	no	—
1578	C₄	—	2	1	no	—
1579	C₄	—	2	1	no	—
1580	C₄	—	2	1	no	—
1581	C₄	—	2	8	no	—
1582	C₄	—	2	4	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	4	no	—
1587	C₄	—	2	4	no	—
1588	C₄	—	2	8	no	—
1589	C₄	—	2	4	no	—
1590	C₄	C₂×2₋¹⁺⁴×C₆₇	1	2	yes	—
1591	C₄	C₂×2₋¹⁺⁴×C₆₇	1	2	yes	—
1592	C₄	#585×C₆₇	1	2	yes	—
1593	C₂	—	2	2	no	—
1594	C₂	—	2	2	no	—
1595	C₂	—	4	1	no	—
1596	C₂	—	4	4	no	—
1597	C₂	—	4	4	no	—
1598	C₂	C₂²×2₋¹⁺⁴×C₆₇	1	1	yes	characteristic
1599	C₂	C₂×#585×C₆₇	1	1	yes	characteristic
1600	C₂	C₂×#585×C₆₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₆₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₆₇
socle	C₂²×C₆₇	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₆₇×#3565	C₂	semidirect
2. C₆₇×#3564	C₂	semidirect
3. C₆₇×#3563	C₂	semidirect
4. C₆₇×#3563	C₂	semidirect
5. C₆₇×#3561	C₂	semidirect
6. C₆₇×#3559	C₂	semidirect
7. C₆₇×#3555	C₂	semidirect
8. C₆₇×#3552	C₂	semidirect
9. C₆₇×#3547	C₂	semidirect
10. C₆₇×#3544	C₂	semidirect
11. C₆₇×#3538	C₂	semidirect
12. C₆₇×#3536	C₂	semidirect
13. C₆₇×#3535	C₂	semidirect
14. C₆₇×#3531	C₂	semidirect
15. C₆₇×#3482	C₂	semidirect
16. Q₈×#41×C₆₇	C₂	semidirect
17. C₆₇×#3475	C₂	semidirect
18. C₆₇×#3475	C₂	semidirect
19. C₆₇×#3461	C₂	semidirect
20. C₆₇×#3461	C₂	semidirect
21. C₆₇×#3458	C₂	semidirect
22. C₆₇×#3455	C₂	semidirect
23. C₆₇×#3444	C₂	semidirect
24. C₂×#533×C₆₇	C₂	semidirect
25. C₂×#529×C₆₇	C₂	semidirect
26. #564×C₆₇	C₂²	semidirect
27. #563×C₆₇	C₂²	semidirect
28. #563×C₆₇	C₂²	semidirect
29. #563×C₆₇	C₂²	semidirect
30. #563×C₆₇	C₂²	semidirect
31. #563×C₆₇	C₂²	semidirect
32. #563×C₆₇	C₂²	semidirect
34. #562×C₆₇	C₂²	semidirect
35. #562×C₆₇	C₂²	semidirect
36. Q₈²×C₆₇	C₂²	semidirect
37. #557×C₆₇	C₂²	semidirect
38. #557×C₆₇	C₂²	semidirect
39. #557×C₆₇	C₂²	semidirect
40. #556×C₆₇	C₂²	semidirect
41. #556×C₆₇	C₂²	semidirect
42. #556×C₆₇	C₂²	semidirect
43. #556×C₆₇	C₂²	semidirect
44. #555×C₆₇	C₂²	semidirect
45. #555×C₆₇	C₂²	semidirect
48. #554×C₆₇	C₂²	semidirect
49. #554×C₆₇	C₂²	semidirect
50. #554×C₆₇	C₂²	semidirect
51. #554×C₆₇	C₂²	semidirect
52. #553×C₆₇	C₂²	semidirect
53. #553×C₆₇	C₂²	semidirect
54. #553×C₆₇	C₂²	semidirect
57. #552×C₆₇	C₂²	semidirect
58. #552×C₆₇	C₂²	semidirect
59. #552×C₆₇	C₂²	semidirect
60. #552×C₆₇	C₂²	semidirect
61. #552×C₆₇	C₂²	semidirect
62. #552×C₆₇	C₂²	semidirect
63. #552×C₆₇	C₂²	semidirect
68. D₄×Q₈×C₆₇	C₂²	semidirect
69. D₄×Q₈×C₆₇	C₂²	semidirect
71. #548×C₆₇	C₂²	semidirect
73. #547×C₆₇	C₂²	semidirect
74. #547×C₆₇	C₂²	semidirect
75. #547×C₆₇	C₂²	semidirect
80. #544×C₆₇	C₂²	semidirect
81. #544×C₆₇	C₂²	semidirect
82. #544×C₆₇	C₂²	semidirect
83. #544×C₆₇	C₂²	semidirect
84. #544×C₆₇	C₂²	semidirect
85. #544×C₆₇	C₂²	semidirect
89. #542×C₆₇	C₂²	semidirect
90. #542×C₆₇	C₂²	semidirect
91. #542×C₆₇	C₂²	semidirect
92. #542×C₆₇	C₂²	semidirect
93. #542×C₆₇	C₂²	semidirect
94. #542×C₆₇	C₂²	semidirect
95. #541×C₆₇	C₂²	semidirect
96. #541×C₆₇	C₂²	semidirect
97. #541×C₆₇	C₂²	semidirect
98. #541×C₆₇	C₂²	semidirect
99. #541×C₆₇	C₂²	semidirect
100. #541×C₆₇	C₂²	semidirect
101. #540×C₆₇	C₂²	semidirect
105. #539×C₆₇	C₂²	semidirect
106. #539×C₆₇	C₂²	semidirect
107. #539×C₆₇	C₂²	semidirect
108. #539×C₆₇	C₂²	semidirect
113. #536×C₆₇	C₂²	semidirect
114. #536×C₆₇	C₂²	semidirect
115. #536×C₆₇	C₂²	semidirect
122. #533×C₆₇	C₂²	semidirect
123. #533×C₆₇	C₂²	semidirect
124. #533×C₆₇	C₂²	semidirect
125. #533×C₆₇	C₂²	semidirect
126. #533×C₆₇	C₂²	semidirect
127. #533×C₆₇	C₂²	semidirect
128. #533×C₆₇	C₂²	semidirect
129. #533×C₆₇	C₂²	semidirect
130. #533×C₆₇	C₂²	semidirect
131. #533×C₆₇	C₂²	semidirect
133. #532×C₆₇	C₂²	semidirect
134. #532×C₆₇	C₂²	semidirect
135. C₂×C₄⋊Q₈×C₆₇	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₆₇	C₂²	semidirect
147. #529×C₆₇	C₂²	semidirect
148. #529×C₆₇	C₂²	semidirect
149. #529×C₆₇	C₂²	semidirect
150. #529×C₆₇	C₂²	semidirect
151. #529×C₆₇	C₂²	semidirect
152. #529×C₆₇	C₂²	semidirect
153. #529×C₆₇	C₂²	semidirect
154. #529×C₆₇	C₂²	semidirect
155. #529×C₆₇	C₂²	semidirect
156. #529×C₆₇	C₂²	semidirect
157. #529×C₆₇	C₂²	semidirect
160. C₂×#125×C₆₇	C₂²	semidirect
173. C₄×#41×C₆₇	C₂²	semidirect
174. C₄×#41×C₆₇	C₂²	semidirect
175. C₄×#41×C₆₇	C₂²	semidirect
176. C₄×#41×C₆₇	C₂²	semidirect
178. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
179. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
180. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
792. #62752	C₆₇	direct (N × H)
801. #3565	C₂×C₆₇	semidirect
802. #3564	C₂×C₆₇	semidirect
803. #3563	C₂×C₆₇	semidirect
804. #3563	C₂×C₆₇	semidirect
805. #3561	C₂×C₆₇	semidirect
806. #3559	C₂×C₆₇	semidirect
807. #3555	C₂×C₆₇	semidirect
808. #3552	C₂×C₆₇	semidirect
809. #3547	C₂×C₆₇	semidirect
810. #3544	C₂×C₆₇	semidirect
811. #3538	C₂×C₆₇	semidirect
812. #3536	C₂×C₆₇	semidirect
813. #3535	C₂×C₆₇	semidirect
814. #3531	C₂×C₆₇	semidirect
815. #3482	C₂×C₆₇	semidirect
816. Q₈×#41	C₂×C₆₇	semidirect
817. #3475	C₂×C₆₇	semidirect
818. #3475	C₂×C₆₇	semidirect
819. #3461	C₂×C₆₇	semidirect
820. #3461	C₂×C₆₇	semidirect
821. #3458	C₂×C₆₇	semidirect
822. #3455	C₂×C₆₇	semidirect
823. #3444	C₂×C₆₇	semidirect
824. C₂×#533	C₂×C₆₇	semidirect
825. C₂×#529	C₂×C₆₇	semidirect
826. C₆₇	#62752	direct (N × H)
827. #564	C₂²×C₆₇	semidirect
828. #563	C₂²×C₆₇	semidirect
829. #563	C₂²×C₆₇	semidirect
830. #563	C₂²×C₆₇	semidirect
831. #563	C₂²×C₆₇	semidirect
832. #563	C₂²×C₆₇	semidirect
833. #563	C₂²×C₆₇	semidirect
835. #562	C₂²×C₆₇	semidirect
836. #562	C₂²×C₆₇	semidirect
837. Q₈²	C₂²×C₆₇	semidirect
838. #557	C₂²×C₆₇	semidirect
839. #557	C₂²×C₆₇	semidirect
840. #557	C₂²×C₆₇	semidirect
841. #556	C₂²×C₆₇	semidirect
842. #556	C₂²×C₆₇	semidirect
843. #556	C₂²×C₆₇	semidirect
844. #556	C₂²×C₆₇	semidirect
845. #555	C₂²×C₆₇	semidirect
846. #555	C₂²×C₆₇	semidirect
849. #554	C₂²×C₆₇	semidirect
850. #554	C₂²×C₆₇	semidirect
851. #554	C₂²×C₆₇	semidirect
852. #554	C₂²×C₆₇	semidirect
853. #553	C₂²×C₆₇	semidirect
854. #553	C₂²×C₆₇	semidirect
855. #553	C₂²×C₆₇	semidirect
858. #552	C₂²×C₆₇	semidirect
859. #552	C₂²×C₆₇	semidirect
860. #552	C₂²×C₆₇	semidirect
861. #552	C₂²×C₆₇	semidirect
862. #552	C₂²×C₆₇	semidirect
863. #552	C₂²×C₆₇	semidirect
864. #552	C₂²×C₆₇	semidirect
869. D₄×Q₈	C₂²×C₆₇	semidirect
870. D₄×Q₈	C₂²×C₆₇	semidirect
872. #548	C₂²×C₆₇	semidirect
874. #547	C₂²×C₆₇	semidirect
875. #547	C₂²×C₆₇	semidirect
876. #547	C₂²×C₆₇	semidirect
881. #544	C₂²×C₆₇	semidirect
882. #544	C₂²×C₆₇	semidirect
883. #544	C₂²×C₆₇	semidirect
884. #544	C₂²×C₆₇	semidirect
885. #544	C₂²×C₆₇	semidirect
886. #544	C₂²×C₆₇	semidirect
890. #542	C₂²×C₆₇	semidirect
891. #542	C₂²×C₆₇	semidirect
892. #542	C₂²×C₆₇	semidirect
893. #542	C₂²×C₆₇	semidirect
894. #542	C₂²×C₆₇	semidirect
895. #542	C₂²×C₆₇	semidirect
896. #541	C₂²×C₆₇	semidirect
897. #541	C₂²×C₆₇	semidirect
898. #541	C₂²×C₆₇	semidirect
899. #541	C₂²×C₆₇	semidirect
900. #541	C₂²×C₆₇	semidirect
901. #541	C₂²×C₆₇	semidirect
902. #540	C₂²×C₆₇	semidirect
906. #539	C₂²×C₆₇	semidirect
907. #539	C₂²×C₆₇	semidirect
908. #539	C₂²×C₆₇	semidirect
909. #539	C₂²×C₆₇	semidirect
914. #536	C₂²×C₆₇	semidirect
915. #536	C₂²×C₆₇	semidirect
916. #536	C₂²×C₆₇	semidirect
923. #533	C₂²×C₆₇	semidirect
924. #533	C₂²×C₆₇	semidirect
925. #533	C₂²×C₆₇	semidirect
926. #533	C₂²×C₆₇	semidirect
927. #533	C₂²×C₆₇	semidirect
928. #533	C₂²×C₆₇	semidirect
929. #533	C₂²×C₆₇	semidirect
930. #533	C₂²×C₆₇	semidirect
931. #533	C₂²×C₆₇	semidirect
932. #533	C₂²×C₆₇	semidirect
934. #532	C₂²×C₆₇	semidirect
935. #532	C₂²×C₆₇	semidirect
936. C₂×C₄⋊Q₈	C₂²×C₆₇	semidirect
937. C₂×C₄⋊Q₈	C₂²×C₆₇	semidirect
948. #529	C₂²×C₆₇	semidirect
949. #529	C₂²×C₆₇	semidirect
950. #529	C₂²×C₆₇	semidirect
951. #529	C₂²×C₆₇	semidirect
952. #529	C₂²×C₆₇	semidirect
953. #529	C₂²×C₆₇	semidirect
954. #529	C₂²×C₆₇	semidirect
955. #529	C₂²×C₆₇	semidirect
956. #529	C₂²×C₆₇	semidirect
957. #529	C₂²×C₆₇	semidirect
958. #529	C₂²×C₆₇	semidirect
961. C₂×#125	C₂²×C₆₇	semidirect
974. C₄×#41	C₂²×C₆₇	semidirect
975. C₄×#41	C₂²×C₆₇	semidirect
976. C₄×#41	C₂²×C₆₇	semidirect
977. C₄×#41	C₂²×C₆₇	semidirect
979. C₂×C₄×Q₈	C₂²×C₆₇	semidirect
980. C₂×C₄×Q₈	C₂²×C₆₇	semidirect
981. C₂×C₄×Q₈	C₂²×C₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₆₇×#3565	2
C₆₇×#3564	2
C₆₇×#3563	2
C₆₇×#3561	2
C₆₇×#3559	2
C₆₇×#3555	2
C₆₇×#3552	2
C₆₇×#3547	2
C₆₇×#3544	2
C₆₇×#3538	2
C₆₇×#3536	2
C₆₇×#3535	2
C₆₇×#3531	2
C₆₇×#3482	2
Q₈×#41×C₆₇	2
C₆₇×#3475	2
C₆₇×#3461	2
C₆₇×#3458	2
C₆₇×#3455	2
C₆₇×#3444	2
C₂×#533×C₆₇	2
C₂×#529×C₆₇	2
#62752	67

Subgroups — C67×#62752 #30742003

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#62752 #30742003