Subgroups — C₇×#62879 #13240095

Order 1792.

6398 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3565	C₂	1	4	yes	maximal, complemented
2	C₇×#3565	C₂	1	4	yes	maximal, complemented
3	C₇×#3564	C₂	1	4	yes	maximal, complemented
4	C₇×#3561	C₂	1	4	yes	maximal, complemented
5	C₇×#3557	C₂	1	4	yes	maximal, complemented
6	C₇×#3555	C₂	1	4	yes	maximal, complemented
7	C₇×#3554	C₂	1	4	yes	maximal, complemented
8	C₇×#3552	C₂	1	4	yes	maximal, complemented
9	C₇×#3550	C₂	1	4	yes	maximal, complemented
10	C₇×#3544	C₂	1	4	yes	maximal, complemented
11	C₇×#3538	C₂	1	4	yes	maximal, complemented
12	C₇×#3535	C₂	1	4	yes	maximal, complemented
13	C₇×#3510	C₂	1	2	yes	maximal, complemented
14	C₇×#3507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3503	C₂	1	2	yes	maximal, complemented
17	C₇×#3502	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3495	C₂	1	2	yes	maximal, complemented
20	C₇×#3494	C₂	1	2	yes	maximal, complemented
21	C₇×#3458	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3455	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#563	C₂²	1	8	yes	complemented
25	C₇×#563	C₂²	1	8	yes	complemented
26	C₇×#563	C₂²	1	8	yes	complemented
27	C₇×#563	C₂²	1	8	yes	complemented
28	C₇×#563	C₂²	1	8	yes	complemented
29	C₇×#563	C₂²	1	8	yes	complemented
30	C₇×#562	C₂²	1	8	yes	complemented
31	C₇×#562	C₂²	1	8	yes	complemented
32	C₇×#559	C₂²	1	4	yes	complemented
33	C₇×#559	C₂²	1	2	yes	complemented
34	C₇×#559	C₂²	1	4	yes	complemented
35	C₇×#559	C₂²	1	4	yes	complemented
36	C₇×Q₈²	C₂²	1	2	yes	complemented
37	C₇×Q₈²	C₂²	1	2	yes	complemented
38	C₇×Q₈²	C₂²	1	4	yes	complemented
39	C₇×#557	C₂²	1	2	yes	complemented
40	C₇×#557	C₂²	1	4	yes	complemented
41	C₇×#557	C₂²	1	4	yes	complemented
42	C₇×#557	C₂²	1	2	yes	complemented
43	C₇×#557	C₂²	1	4	yes	complemented
44	C₇×#557	C₂²	1	2	yes	complemented
45	C₇×#556	C₂²	1	8	yes	complemented
46	C₇×#556	C₂²	1	8	yes	complemented
47	C₇×#556	C₂²	1	2	yes	complemented
48	C₇×#556	C₂²	1	4	yes	complemented
49	C₇×#556	C₂²	1	2	yes	complemented
50	C₇×#556	C₂²	1	4	yes	complemented
51	C₇×#556	C₂²	1	4	yes	complemented
52	C₇×#556	C₂²	1	4	yes	complemented
53	C₇×#555	C₂²	1	4	yes	—
54	C₇×#555	C₂²	1	2	yes	complemented
55	C₇×#554	C₂²	1	8	yes	—
56	C₇×#554	C₂²	1	2	yes	complemented
57	C₇×#554	C₂²	1	4	yes	complemented
58	C₇×#554	C₂²	1	4	yes	complemented
59	C₇×#554	C₂²	1	4	yes	complemented
60	C₇×#554	C₂²	1	2	yes	complemented
61	C₇×#554	C₂²	1	4	yes	complemented
62	C₇×#554	C₂²	1	2	yes	complemented
63	C₇×#553	C₂²	1	4	yes	—
64	C₇×#553	C₂²	1	4	yes	—
65	C₇×#553	C₂²	1	4	yes	complemented
66	C₇×#552	C₂²	1	8	yes	—
67	C₇×#552	C₂²	1	8	yes	complemented
68	C₇×#552	C₂²	1	4	yes	complemented
69	C₇×#552	C₂²	1	4	yes	complemented
70	C₇×#552	C₂²	1	4	yes	complemented
71	C₇×#552	C₂²	1	8	yes	complemented
72	C₇×#552	C₂²	1	8	yes	complemented
73	C₇×#551	C₂²	1	8	yes	—
74	C₇×#551	C₂²	1	8	yes	—
75	C₇×#551	C₂²	1	8	yes	—
76	C₇×#551	C₂²	1	8	yes	—
77	C₇×#550	C₂²	1	2	yes	complemented
78	C₇×D₄×Q₈	C₂²	1	8	yes	—
79	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
80	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
81	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
82	C₇×D₄×Q₈	C₂²	1	8	yes	complemented
83	C₇×#548	C₂²	1	8	yes	complemented
84	C₇×#547	C₂²	1	4	yes	—
85	C₇×#547	C₂²	1	2	yes	complemented
86	C₇×#547	C₂²	1	8	yes	complemented
87	C₇×#546	C₂²	1	8	yes	—
88	C₇×#544	C₂²	1	2	yes	—
89	C₇×#544	C₂²	1	2	yes	—
90	C₇×#544	C₂²	1	2	yes	—
91	C₇×#544	C₂²	1	2	yes	—
92	C₇×#544	C₂²	1	4	yes	—
93	C₇×#544	C₂²	1	2	yes	complemented
94	C₇×#544	C₂²	1	2	yes	complemented
95	C₇×#544	C₂²	1	4	yes	complemented
96	C₇×#544	C₂²	1	4	yes	complemented
97	C₇×#544	C₂²	1	2	yes	complemented
98	C₇×#544	C₂²	1	2	yes	complemented
99	C₇×#544	C₂²	1	8	yes	complemented
100	C₇×#543	C₂²	1	2	yes	—
101	C₇×#543	C₂²	1	4	yes	—
102	C₇×#543	C₂²	1	2	yes	—
103	C₇×#542	C₂²	1	4	yes	—
104	C₇×#542	C₂²	1	4	yes	—
105	C₇×#542	C₂²	1	4	yes	—
106	C₇×#542	C₂²	1	4	yes	—
107	C₇×#542	C₂²	1	4	yes	—
108	C₇×#542	C₂²	1	8	yes	complemented
109	C₇×#542	C₂²	1	8	yes	complemented
110	C₇×#542	C₂²	1	8	yes	complemented
111	C₇×#542	C₂²	1	8	yes	complemented
112	C₇×#542	C₂²	1	4	yes	complemented
113	C₇×#542	C₂²	1	8	yes	complemented
114	C₇×#542	C₂²	1	2	yes	complemented
115	C₇×#542	C₂²	1	2	yes	complemented
116	C₇×#542	C₂²	1	4	yes	complemented
117	C₇×#542	C₂²	1	4	yes	complemented
118	C₇×#541	C₂²	1	8	yes	complemented
119	C₇×#541	C₂²	1	8	yes	complemented
120	C₇×#541	C₂²	1	8	yes	complemented
121	C₇×#541	C₂²	1	2	yes	complemented
122	C₇×#541	C₂²	1	4	yes	complemented
123	C₇×#540	C₂²	1	4	yes	—
124	C₇×#540	C₂²	1	2	yes	complemented
125	C₇×#539	C₂²	1	2	yes	—
126	C₇×#539	C₂²	1	2	yes	—
127	C₇×#539	C₂²	1	4	yes	—
128	C₇×#539	C₂²	1	8	yes	complemented
129	C₇×#539	C₂²	1	8	yes	complemented
130	C₇×#539	C₂²	1	8	yes	complemented
131	C₇×#539	C₂²	1	8	yes	complemented
132	C₇×#538	C₂²	1	2	yes	—
133	C₇×#538	C₂²	1	4	yes	—
134	C₇×#538	C₂²	1	2	yes	—
135	C₇×#536	C₂²	1	2	yes	—
136	C₇×#536	C₂²	1	8	yes	complemented
137	C₇×#536	C₂²	1	8	yes	complemented
138	C₇×#536	C₂²	1	8	yes	complemented
139	C₇×#535	C₂²	1	2	yes	—
140	C₇×#533	C₂²	1	4	yes	—
141	C₇×#533	C₂²	1	1	yes	characteristic
142	C₇×#533	C₂²	1	1	yes	characteristic
143	C₇×#533	C₂²	1	1	yes	characteristic
144	C₇×#533	C₂²	1	2	yes	—
145	C₇×#533	C₂²	1	4	yes	complemented
146	C₇×#533	C₂²	1	4	yes	complemented
147	C₇×#533	C₂²	1	4	yes	complemented
148	C₇×#533	C₂²	1	4	yes	complemented
149	C₇×#532	C₂²	1	1	yes	characteristic
150	C₇×#532	C₂²	1	4	yes	—
151	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
152	C₂×C₇×C₄⋊Q₈	C₂²	1	4	yes	complemented
153	C₇×#529	C₂²	1	4	yes	—
154	C₇×#529	C₂²	1	4	yes	—
155	C₇×#529	C₂²	1	4	yes	complemented
156	C₇×#529	C₂²	1	4	yes	complemented
157	C₇×#529	C₂²	1	4	yes	complemented
158	C₇×#529	C₂²	1	4	yes	complemented
159	C₇×#529	C₂²	1	4	yes	complemented
160	C₂×C₇×#126	C₂²	1	2	yes	—
161	C₂×C₇×#124	C₂²	1	2	yes	—
162	C₂×C₇×#124	C₂²	1	1	yes	characteristic
163	C₇×#525	C₂²	1	2	yes	—
164	C₇×#525	C₂²	1	4	yes	—
165	C₂×C₇×#123	C₂²	1	2	yes	—
166	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
167	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
168	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	—
169	C₂×C₇×#121	C₂²	1	1	yes	characteristic
170	C₇×#520	C₂²	1	2	yes	—
171	C₇×#520	C₂²	1	2	yes	—
172	C₇×#519	C₂²	1	2	yes	—
173	C₇×#518	C₂²	1	2	yes	—
174	C₄×C₇×#41	C₂²	1	2	yes	—
175	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
176	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
177	C₂×C₇×#117	C₂²	1	1	yes	characteristic
178	C₂×C₇×#117	C₂²	1	2	yes	—
179	#62879	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
180	C₂×C₇×#41	C₂³	1	2	yes	—
181	C₂×C₇×#41	C₂³	1	4	yes	—
182	C₂×C₇×#41	C₂³	1	8	yes	—
183	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
184	C₂²×C₇×Q₈	C₂³	1	2	yes	—
185	C₂²×C₇×Q₈	C₂³	1	4	yes	—
186	C₂²×C₇×Q₈	C₂³	1	8	yes	—
187	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
188	C₂²×C₇×D₄	C₂³	1	2	yes	—
189	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₇	C₂³	1	2	yes	—
191	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
192	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
193	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
194	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
195	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
196	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
197	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
198	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
199	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
200	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
201	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
202	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
203	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
204	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
205	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
206	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
207	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
209	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
210	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
211	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
212	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
213	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
214	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
215	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
216	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
217	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
218	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
219	C₇×#127	C₂³	1	4	yes	—
220	C₇×#127	C₂³	1	1	yes	characteristic
221	C₇×#126	C₂³	1	8	yes	—
222	C₇×#126	C₂³	1	8	yes	—
223	C₇×#126	C₂³	1	8	yes	—
224	C₇×#126	C₂³	1	8	yes	—
225	C₇×#126	C₂³	1	4	yes	—
226	C₇×#126	C₂³	1	4	yes	—
227	C₇×#126	C₂³	1	4	yes	—
228	C₇×#126	C₂³	1	4	yes	—
229	C₇×#126	C₂³	1	8	yes	—
230	C₇×#126	C₂³	1	8	yes	—
231	C₇×#126	C₂³	1	8	yes	—
232	C₇×#126	C₂³	1	8	yes	—
233	C₇×#126	C₂³	1	8	yes	—
234	C₇×#126	C₂³	1	8	yes	—
235	C₇×#126	C₂³	1	8	yes	—
236	C₇×#126	C₂³	1	8	yes	—
237	C₇×#126	C₂³	1	8	yes	—
238	C₇×#126	C₂³	1	8	yes	—
239	C₇×#126	C₂³	1	8	yes	—
240	C₇×#125	C₂³	1	4	yes	—
241	C₇×#125	C₂³	1	4	yes	—
242	C₇×#125	C₂³	1	2	yes	—
243	C₇×#125	C₂³	1	2	yes	—
244	C₇×#125	C₂³	1	4	yes	—
245	C₇×#125	C₂³	1	4	yes	—
246	C₇×#125	C₂³	1	4	yes	—
247	C₇×#125	C₂³	1	8	yes	—
248	C₇×#125	C₂³	1	2	yes	—
249	C₇×#125	C₂³	1	2	yes	—
250	C₇×#125	C₂³	1	2	yes	—
251	C₇×#125	C₂³	1	4	yes	—
252	C₇×#125	C₂³	1	4	yes	—
253	C₇×#125	C₂³	1	8	yes	—
254	C₇×#125	C₂³	1	4	yes	—
255	C₇×#125	C₂³	1	4	yes	—
256	C₇×#125	C₂³	1	4	yes	—
257	C₇×#125	C₂³	1	4	yes	—
258	C₇×#125	C₂³	1	8	yes	—
259	C₇×#125	C₂³	1	8	yes	—
260	C₇×#125	C₂³	1	8	yes	—
261	C₇×#125	C₂³	1	8	yes	—
262	C₇×#125	C₂³	1	8	yes	—
263	C₇×#125	C₂³	1	8	yes	—
264	C₇×#125	C₂³	1	8	yes	—
265	C₇×#124	C₂³	1	4	yes	—
266	C₇×#124	C₂³	1	8	yes	—
267	C₇×#124	C₂³	1	8	yes	—
268	C₇×#124	C₂³	1	4	yes	—
269	C₇×#124	C₂³	1	4	yes	—
270	C₇×#124	C₂³	1	4	yes	—
271	C₇×#124	C₂³	1	4	yes	—
272	C₇×#124	C₂³	1	4	yes	—
273	C₇×#124	C₂³	1	4	yes	—
274	C₇×#124	C₂³	1	8	yes	—
275	C₇×#124	C₂³	1	2	yes	—
276	C₇×#124	C₂³	1	8	yes	—
277	C₇×#124	C₂³	1	8	yes	—
278	C₇×#124	C₂³	1	8	yes	—
279	C₇×#124	C₂³	1	8	yes	—
280	C₇×#124	C₂³	1	8	yes	—
281	C₇×#123	C₂³	1	8	yes	—
282	C₇×#123	C₂³	1	8	yes	—
283	C₇×#123	C₂³	1	8	yes	—
284	C₇×#123	C₂³	1	4	yes	—
285	C₇×#123	C₂³	1	8	yes	—
286	C₇×#123	C₂³	1	8	yes	—
287	C₇×#123	C₂³	1	4	yes	—
288	C₇×#123	C₂³	1	4	yes	—
289	C₇×#123	C₂³	1	8	yes	—
290	C₇×#123	C₂³	1	4	yes	—
291	C₇×#123	C₂³	1	4	yes	—
292	C₇×#123	C₂³	1	8	yes	—
293	C₇×#123	C₂³	1	8	yes	—
294	C₇×#123	C₂³	1	8	yes	—
295	C₇×#123	C₂³	1	8	yes	—
296	C₇×#123	C₂³	1	8	yes	—
297	C₇×#123	C₂³	1	8	yes	—
298	C₇×#123	C₂³	1	8	yes	—
299	C₇×#123	C₂³	1	8	yes	—
300	C₇×#123	C₂³	1	8	yes	—
301	C₇×#123	C₂³	1	8	yes	—
302	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
303	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
304	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
305	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
307	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
308	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
309	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
310	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
311	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
312	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
313	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
314	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
315	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
317	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
320	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
321	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
322	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
323	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
325	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
328	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
329	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
330	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
332	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
333	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
334	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
335	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
338	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
339	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
340	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
341	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
343	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
344	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
345	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
346	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
348	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
349	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
350	C₇×#121	C₂³	1	4	yes	—
351	C₇×#121	C₂³	1	4	yes	—
352	C₇×#121	C₂³	1	2	yes	—
353	C₇×#121	C₂³	1	2	yes	—
354	C₇×#121	C₂³	1	2	yes	—
355	C₇×#121	C₂³	1	4	yes	—
356	C₇×#121	C₂³	1	2	yes	—
357	C₇×#121	C₂³	1	4	yes	—
358	C₇×#121	C₂³	1	4	yes	—
359	C₇×#121	C₂³	1	4	yes	—
360	C₇×#121	C₂³	1	4	yes	—
361	C₇×#121	C₂³	1	8	yes	—
362	C₇×#121	C₂³	1	8	yes	—
363	C₇×#121	C₂³	1	8	yes	—
364	C₇×#121	C₂³	1	8	yes	—
365	C₇×#120	C₂³	1	8	yes	—
366	C₇×#120	C₂³	1	4	yes	—
367	C₄×C₇×Q₈	C₂³	1	2	yes	—
368	C₄×C₇×Q₈	C₂³	1	2	yes	—
369	C₄×C₇×Q₈	C₂³	1	2	yes	—
370	C₄×C₇×Q₈	C₂³	1	2	yes	—
371	C₄×C₇×Q₈	C₂³	1	2	yes	—
372	C₄×C₇×Q₈	C₂³	1	2	yes	—
373	C₄×C₇×Q₈	C₂³	1	4	yes	—
374	C₄×C₇×Q₈	C₂³	1	4	yes	—
375	C₄×C₇×Q₈	C₂³	1	4	yes	—
376	C₄×C₇×Q₈	C₂³	1	4	yes	—
377	C₄×C₇×Q₈	C₂³	1	4	yes	—
378	C₄×C₇×Q₈	C₂³	1	4	yes	—
379	C₄×C₇×Q₈	C₂³	1	4	yes	—
380	C₄×C₇×Q₈	C₂³	1	2	yes	—
381	C₄×C₇×Q₈	C₂³	1	2	yes	—
382	C₄×C₇×Q₈	C₂³	1	2	yes	—
383	C₄×C₇×Q₈	C₂³	1	4	yes	—
384	C₄×C₇×Q₈	C₂³	1	2	yes	—
385	C₄×C₇×Q₈	C₂³	1	2	yes	—
386	C₄×C₇×Q₈	C₂³	1	4	yes	—
387	C₄×C₇×Q₈	C₂³	1	2	yes	—
388	C₄×C₇×Q₈	C₂³	1	8	yes	—
389	C₄×C₇×Q₈	C₂³	1	4	yes	—
390	C₄×C₇×Q₈	C₂³	1	4	yes	—
391	C₄×C₇×Q₈	C₂³	1	8	yes	—
392	C₄×C₇×Q₈	C₂³	1	8	yes	—
393	C₄×C₇×Q₈	C₂³	1	8	yes	—
394	C₄×C₇×D₄	C₂³	1	2	yes	—
395	C₄×C₇×D₄	C₂³	1	2	yes	—
396	C₄×C₇×D₄	C₂³	1	2	yes	—
397	C₄×C₇×D₄	C₂³	1	2	yes	—
398	C₄×C₇×D₄	C₂³	1	4	yes	—
399	C₄×C₇×D₄	C₂³	1	4	yes	—
400	C₄×C₇×D₄	C₂³	1	2	yes	—
401	C₄×C₇×D₄	C₂³	1	2	yes	—
402	C₄×C₇×D₄	C₂³	1	4	yes	—
403	C₄×C₇×D₄	C₂³	1	4	yes	—
404	C₄×C₇×D₄	C₂³	1	4	yes	—
405	C₄×C₇×D₄	C₂³	1	4	yes	—
406	C₄×C₇×D₄	C₂³	1	8	yes	—
407	C₄×C₇×D₄	C₂³	1	8	yes	—
408	C₄×C₇×D₄	C₂³	1	4	yes	—
409	C₄×C₇×D₄	C₂³	1	4	yes	—
410	C₄×C₇×D₄	C₂³	1	4	yes	—
411	C₄×C₇×D₄	C₂³	1	4	yes	—
412	C₄×C₇×D₄	C₂³	1	8	yes	—
413	C₄×C₇×D₄	C₂³	1	4	yes	—
414	C₄×C₇×D₄	C₂³	1	8	yes	—
415	C₄×C₇×D₄	C₂³	1	2	yes	—
416	C₄×C₇×D₄	C₂³	1	2	yes	—
417	C₄×C₇×D₄	C₂³	1	8	yes	—
418	C₄×C₇×D₄	C₂³	1	8	yes	—
419	C₄×C₇×D₄	C₂³	1	8	yes	—
420	C₄×C₇×D₄	C₂³	1	8	yes	—
421	C₇×#117	C₂³	1	2	yes	—
422	C₇×#117	C₂³	1	2	yes	—
423	C₇×#117	C₂³	1	2	yes	—
424	C₇×#117	C₂³	1	2	yes	—
425	C₇×#117	C₂³	1	4	yes	—
426	C₇×#117	C₂³	1	2	yes	—
427	C₇×#117	C₂³	1	2	yes	—
428	C₇×#117	C₂³	1	4	yes	—
429	C₇×#117	C₂³	1	2	yes	—
430	C₇×#117	C₂³	1	2	yes	—
431	C₇×#117	C₂³	1	2	yes	—
432	C₇×#117	C₂³	1	4	yes	—
433	C₇×#117	C₂³	1	8	yes	—
434	C₇×#117	C₂³	1	4	yes	—
435	C₇×#117	C₂³	1	4	yes	—
436	C₇×#117	C₂³	1	4	yes	—
437	C₇×#117	C₂³	1	8	yes	—
438	C₇×#117	C₂³	1	8	yes	—
439	C₇×#117	C₂³	1	8	yes	—
440	C₇×#117	C₂³	1	8	yes	—
441	C₇×#117	C₂³	1	8	yes	—
442	C₇×#117	C₂³	1	8	yes	—
443	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
444	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
445	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
446	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
447	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
450	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
451	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
452	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
453	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
454	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
455	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
456	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
457	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
458	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
459	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
460	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
461	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
462	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
463	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
464	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
465	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
466	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
467	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
468	C₂×C₄²×C₇	C₂³	1	4	yes	—
469	C₂×C₄²×C₇	C₂³	1	2	yes	—
470	C₂×C₄²×C₇	C₂³	1	4	yes	—
471	#3565	C₂×C₇	1	4	yes	complemented
472	#3565	C₂×C₇	1	4	yes	complemented
473	#3564	C₂×C₇	1	4	yes	complemented
474	#3561	C₂×C₇	1	4	yes	complemented
475	#3557	C₂×C₇	1	4	yes	complemented
476	#3555	C₂×C₇	1	4	yes	complemented
477	#3554	C₂×C₇	1	4	yes	complemented
478	#3552	C₂×C₇	1	4	yes	complemented
479	#3550	C₂×C₇	1	4	yes	complemented
480	#3544	C₂×C₇	1	4	yes	complemented
481	#3538	C₂×C₇	1	4	yes	complemented
482	#3535	C₂×C₇	1	4	yes	complemented
483	#3510	C₂×C₇	1	2	yes	complemented
484	#3507	C₂×C₇	1	1	yes	characteristic, complemented
485	#3506	C₂×C₇	1	1	yes	characteristic, complemented
486	#3503	C₂×C₇	1	2	yes	complemented
487	#3502	C₂×C₇	1	1	yes	characteristic, complemented
488	#3501	C₂×C₇	1	1	yes	characteristic, complemented
489	#3495	C₂×C₇	1	2	yes	complemented
490	#3494	C₂×C₇	1	2	yes	complemented
491	#3458	C₂×C₇	1	1	yes	characteristic, complemented
492	#3455	C₂×C₇	1	1	yes	characteristic, complemented
493	C₂×#542	C₂×C₇	1	1	yes	characteristic, complemented
494	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
495	C₂⁴×C₇	C₂⁴	1	2	yes	—
496	C₇×#41	—	2	8	no	—
497	C₇×#41	—	8	4	no	—
498	C₇×#41	—	8	8	no	—
499	C₂×C₇×Q₈	—	2	4	no	—
500	C₂×C₇×Q₈	—	8	2	no	—
501	C₂×C₇×Q₈	—	8	4	no	—
502	C₂×C₇×Q₈	—	8	8	no	—
503	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
504	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
505	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
506	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
507	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
508	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
509	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
510	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
511	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
512	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
513	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
514	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
515	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
516	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
517	C₂×C₇×D₄	—	2	4	no	—
518	C₂×C₇×D₄	—	8	2	no	—
519	C₂×C₇×D₄	C₂⁴	1	4	yes	—
520	C₂×C₇×D₄	C₂⁴	1	2	yes	—
521	C₂×C₇×D₄	C₂⁴	1	2	yes	—
522	C₂×C₇×D₄	C₂⁴	1	2	yes	—
523	C₂×C₇×D₄	C₂⁴	1	4	yes	—
524	C₂×C₇×D₄	C₂⁴	1	8	yes	—
525	C₂×C₇×D₄	C₂⁴	1	2	yes	—
526	C₂×C₇×D₄	C₂⁴	1	4	yes	—
527	C₂×C₇×D₄	C₂⁴	1	8	yes	—
528	C₂×C₇×D₄	C₂⁴	1	2	yes	—
529	C₂×C₇×D₄	C₂⁴	1	8	yes	—
530	C₂²×C₄×C₇	—	2	4	no	—
531	C₂²×C₄×C₇	—	8	2	no	—
532	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
533	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
534	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
535	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
537	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
541	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
543	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
544	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
545	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
546	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
547	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
548	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
549	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
550	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
551	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
552	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
553	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
554	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
555	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
556	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
557	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
558	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
559	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
560	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
561	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
562	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
563	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
564	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
565	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
566	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
567	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
568	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
569	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
570	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
571	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
572	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
573	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
574	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
575	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
576	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
577	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
578	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
579	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
580	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
581	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
582	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
583	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
584	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
585	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
586	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
587	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
588	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
589	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
590	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
591	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
592	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
593	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
594	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
595	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
596	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
597	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
599	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
600	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
602	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
603	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
604	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
605	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
606	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
607	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
608	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
609	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
610	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
611	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
613	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
614	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
615	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
616	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
617	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
618	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
619	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
620	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
621	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
622	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
623	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
624	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
625	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
626	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
627	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
628	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
629	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
630	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
631	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
632	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
633	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
634	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
635	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
636	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
637	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
638	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
639	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
640	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
641	C₄²×C₇	C₂⁴	1	2	yes	—
642	C₄²×C₇	C₂⁴	1	4	yes	—
643	C₄²×C₇	C₂⁴	1	1	yes	characteristic
644	C₄²×C₇	C₂⁴	1	1	yes	characteristic
645	C₄²×C₇	C₂⁴	1	4	yes	—
646	C₄²×C₇	C₂⁴	1	4	yes	—
647	C₄²×C₇	C₂⁴	1	1	yes	characteristic
648	C₄²×C₇	C₂⁴	1	2	yes	—
649	C₄²×C₇	C₂⁴	1	1	yes	characteristic
650	C₄²×C₇	C₂⁴	1	4	yes	—
651	C₄²×C₇	C₂⁴	1	4	yes	—
652	C₄²×C₇	C₂⁴	1	4	yes	—
653	C₄²×C₇	C₂⁴	1	4	yes	—
654	C₄²×C₇	C₂⁴	1	4	yes	—
655	C₄²×C₇	C₂⁴	1	4	yes	—
656	C₄²×C₇	C₂⁴	1	8	yes	—
657	C₄²×C₇	C₂⁴	1	8	yes	—
658	C₄²×C₇	C₂⁴	1	8	yes	—
659	C₄²×C₇	C₂⁴	1	8	yes	—
660	#563	C₂²×C₇	1	8	yes	complemented
661	#563	C₂²×C₇	1	8	yes	complemented
662	#563	C₂²×C₇	1	8	yes	complemented
663	#563	C₂²×C₇	1	8	yes	complemented
664	#563	C₂²×C₇	1	8	yes	complemented
665	#563	C₂²×C₇	1	8	yes	complemented
666	#562	C₂²×C₇	1	8	yes	complemented
667	#562	C₂²×C₇	1	8	yes	complemented
668	#559	C₂²×C₇	1	4	yes	complemented
669	#559	C₂²×C₇	1	2	yes	complemented
670	#559	C₂²×C₇	1	4	yes	complemented
671	#559	C₂²×C₇	1	4	yes	complemented
672	Q₈²	C₂²×C₇	1	2	yes	complemented
673	Q₈²	C₂²×C₇	1	2	yes	complemented
674	Q₈²	C₂²×C₇	1	4	yes	complemented
675	#557	C₂²×C₇	1	4	yes	complemented
676	#557	C₂²×C₇	1	4	yes	complemented
677	#557	C₂²×C₇	1	2	yes	complemented
678	#557	C₂²×C₇	1	2	yes	complemented
679	#557	C₂²×C₇	1	4	yes	complemented
680	#557	C₂²×C₇	1	2	yes	complemented
681	#556	C₂²×C₇	1	4	yes	complemented
682	#556	C₂²×C₇	1	2	yes	complemented
683	#556	C₂²×C₇	1	4	yes	complemented
684	#556	C₂²×C₇	1	2	yes	complemented
685	#556	C₂²×C₇	1	4	yes	complemented
686	#556	C₂²×C₇	1	4	yes	complemented
687	#556	C₂²×C₇	1	8	yes	complemented
688	#556	C₂²×C₇	1	8	yes	complemented
689	#555	C₂²×C₇	1	4	yes	—
690	#555	C₂²×C₇	1	2	yes	complemented
691	#554	C₂²×C₇	1	8	yes	—
692	#554	C₂²×C₇	1	4	yes	complemented
693	#554	C₂²×C₇	1	4	yes	complemented
694	#554	C₂²×C₇	1	4	yes	complemented
695	#554	C₂²×C₇	1	2	yes	complemented
696	#554	C₂²×C₇	1	2	yes	complemented
697	#554	C₂²×C₇	1	4	yes	complemented
698	#554	C₂²×C₇	1	2	yes	complemented
699	#553	C₂²×C₇	1	4	yes	—
700	#553	C₂²×C₇	1	4	yes	—
701	#553	C₂²×C₇	1	4	yes	complemented
702	#552	C₂²×C₇	1	8	yes	—
703	#552	C₂²×C₇	1	4	yes	complemented
704	#552	C₂²×C₇	1	4	yes	complemented
705	#552	C₂²×C₇	1	4	yes	complemented
706	#552	C₂²×C₇	1	8	yes	complemented
707	#552	C₂²×C₇	1	8	yes	complemented
708	#552	C₂²×C₇	1	8	yes	complemented
709	#551	C₂²×C₇	1	8	yes	—
710	#551	C₂²×C₇	1	8	yes	—
711	#551	C₂²×C₇	1	8	yes	—
712	#551	C₂²×C₇	1	8	yes	—
713	#550	C₂²×C₇	1	2	yes	complemented
714	D₄×Q₈	C₂²×C₇	1	8	yes	—
715	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
716	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
717	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
718	D₄×Q₈	C₂²×C₇	1	8	yes	complemented
719	#548	C₂²×C₇	1	8	yes	complemented
720	#547	C₂²×C₇	1	4	yes	—
721	#547	C₂²×C₇	1	2	yes	complemented
722	#547	C₂²×C₇	1	8	yes	complemented
723	#546	C₂²×C₇	1	8	yes	—
724	#544	C₂²×C₇	1	2	yes	—
725	#544	C₂²×C₇	1	2	yes	—
726	#544	C₂²×C₇	1	2	yes	—
727	#544	C₂²×C₇	1	2	yes	—
728	#544	C₂²×C₇	1	4	yes	—
729	#544	C₂²×C₇	1	2	yes	complemented
730	#544	C₂²×C₇	1	2	yes	complemented
731	#544	C₂²×C₇	1	2	yes	complemented
732	#544	C₂²×C₇	1	2	yes	complemented
733	#544	C₂²×C₇	1	4	yes	complemented
734	#544	C₂²×C₇	1	4	yes	complemented
735	#544	C₂²×C₇	1	8	yes	complemented
736	#543	C₂²×C₇	1	2	yes	—
737	#543	C₂²×C₇	1	2	yes	—
738	#543	C₂²×C₇	1	4	yes	—
739	#542	C₂²×C₇	1	4	yes	—
740	#542	C₂²×C₇	1	4	yes	—
741	#542	C₂²×C₇	1	4	yes	—
742	#542	C₂²×C₇	1	4	yes	—
743	#542	C₂²×C₇	1	4	yes	—
744	#542	C₂²×C₇	1	2	yes	complemented
745	#542	C₂²×C₇	1	2	yes	complemented
746	#542	C₂²×C₇	1	4	yes	complemented
747	#542	C₂²×C₇	1	4	yes	complemented
748	#542	C₂²×C₇	1	4	yes	complemented
749	#542	C₂²×C₇	1	8	yes	complemented
750	#542	C₂²×C₇	1	8	yes	complemented
751	#542	C₂²×C₇	1	8	yes	complemented
752	#542	C₂²×C₇	1	8	yes	complemented
753	#542	C₂²×C₇	1	8	yes	complemented
754	#541	C₂²×C₇	1	2	yes	complemented
755	#541	C₂²×C₇	1	4	yes	complemented
756	#541	C₂²×C₇	1	8	yes	complemented
757	#541	C₂²×C₇	1	8	yes	complemented
758	#541	C₂²×C₇	1	8	yes	complemented
759	#540	C₂²×C₇	1	4	yes	—
760	#540	C₂²×C₇	1	2	yes	complemented
761	#539	C₂²×C₇	1	2	yes	—
762	#539	C₂²×C₇	1	2	yes	—
763	#539	C₂²×C₇	1	4	yes	—
764	#539	C₂²×C₇	1	8	yes	complemented
765	#539	C₂²×C₇	1	8	yes	complemented
766	#539	C₂²×C₇	1	8	yes	complemented
767	#539	C₂²×C₇	1	8	yes	complemented
768	#538	C₂²×C₇	1	2	yes	—
769	#538	C₂²×C₇	1	2	yes	—
770	#538	C₂²×C₇	1	4	yes	—
771	#536	C₂²×C₇	1	2	yes	—
772	#536	C₂²×C₇	1	8	yes	complemented
773	#536	C₂²×C₇	1	8	yes	complemented
774	#536	C₂²×C₇	1	8	yes	complemented
775	#535	C₂²×C₇	1	2	yes	—
776	#533	C₂²×C₇	1	1	yes	characteristic
777	#533	C₂²×C₇	1	1	yes	characteristic
778	#533	C₂²×C₇	1	1	yes	characteristic
779	#533	C₂²×C₇	1	2	yes	—
780	#533	C₂²×C₇	1	4	yes	—
781	#533	C₂²×C₇	1	4	yes	complemented
782	#533	C₂²×C₇	1	4	yes	complemented
783	#533	C₂²×C₇	1	4	yes	complemented
784	#533	C₂²×C₇	1	4	yes	complemented
785	#532	C₂²×C₇	1	1	yes	characteristic
786	#532	C₂²×C₇	1	4	yes	—
787	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
788	C₂×C₄⋊Q₈	C₂²×C₇	1	4	yes	complemented
789	#529	C₂²×C₇	1	4	yes	—
790	#529	C₂²×C₇	1	4	yes	—
791	#529	C₂²×C₇	1	4	yes	complemented
792	#529	C₂²×C₇	1	4	yes	complemented
793	#529	C₂²×C₇	1	4	yes	complemented
794	#529	C₂²×C₇	1	4	yes	complemented
795	#529	C₂²×C₇	1	4	yes	complemented
796	C₂×#126	C₂²×C₇	1	2	yes	—
797	C₂×#124	C₂²×C₇	1	1	yes	characteristic
798	C₂×#124	C₂²×C₇	1	2	yes	—
799	#525	C₂²×C₇	1	2	yes	—
800	#525	C₂²×C₇	1	4	yes	—
801	C₂×#123	C₂²×C₇	1	2	yes	—
802	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
803	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
804	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	—
805	C₂×#121	C₂²×C₇	1	1	yes	characteristic
806	#520	C₂²×C₇	1	2	yes	—
807	#520	C₂²×C₇	1	2	yes	—
808	#519	C₂²×C₇	1	2	yes	—
809	#518	C₂²×C₇	1	2	yes	—
810	C₄×#41	C₂²×C₇	1	2	yes	—
811	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
812	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
813	C₂×#117	C₂²×C₇	1	1	yes	characteristic
814	C₂×#117	C₂²×C₇	1	2	yes	—
815	C₂³×C₇	—	2	2	no	—
816	C₂³×C₇	—	2	4	no	—
817	C₂³×C₇	—	4	2	no	—
818	C₂³×C₇	—	4	1	no	—
819	C₂³×C₇	—	4	1	no	—
820	C₂³×C₇	—	4	2	no	—
821	C₂³×C₇	C₂⁵	1	2	yes	—
822	C₂³×C₇	C₂⁵	1	4	yes	—
823	C₂³×C₇	C₂⁵	1	4	yes	—
824	C₂³×C₇	C₂⁵	1	1	yes	characteristic
825	C₇×Q₈	—	2	4	no	—
826	C₇×Q₈	—	2	4	no	—
827	C₇×Q₈	—	2	4	no	—
828	C₇×Q₈	—	4	2	no	—
829	C₇×Q₈	—	4	8	no	—
830	C₇×Q₈	—	4	8	no	—
831	C₇×Q₈	—	4	4	no	—
832	C₇×Q₈	—	4	2	no	—
833	C₇×Q₈	—	4	8	no	—
834	C₇×Q₈	—	4	2	no	—
835	C₇×Q₈	—	4	2	no	—
836	C₇×Q₈	—	4	4	no	—
837	C₇×Q₈	—	4	2	no	—
838	C₇×Q₈	—	4	2	no	—
839	C₇×D₄	—	2	8	no	—
840	C₇×D₄	—	2	4	no	—
841	C₇×D₄	—	2	4	no	—
842	C₇×D₄	—	2	4	no	—
843	C₇×D₄	—	4	8	no	—
844	C₇×D₄	—	4	4	no	—
845	C₇×D₄	—	4	8	no	—
846	C₇×D₄	—	4	2	no	—
847	C₇×D₄	—	4	2	no	—
848	C₇×D₄	—	4	8	no	—
849	C₇×D₄	—	4	4	no	—
850	C₂×C₄×C₇	—	2	2	no	—
851	C₂×C₄×C₇	—	2	4	no	—
852	C₂×C₄×C₇	—	2	4	no	—
853	C₂×C₄×C₇	—	2	4	no	—
854	C₂×C₄×C₇	—	2	8	no	—
855	C₂×C₄×C₇	—	4	1	no	—
856	C₂×C₄×C₇	—	4	2	no	—
857	C₂×C₄×C₇	—	4	4	no	—
858	C₂×C₄×C₇	—	4	4	no	—
859	C₂×C₄×C₇	—	4	8	no	—
860	C₂×C₄×C₇	—	4	4	no	—
861	C₂×C₄×C₇	—	4	1	no	—
862	C₂×C₄×C₇	—	4	4	no	—
863	C₂×C₄×C₇	—	4	1	no	—
864	C₂×C₄×C₇	—	4	2	no	—
865	C₂×C₄×C₇	—	4	4	no	—
866	C₂×C₄×C₇	—	4	1	no	—
867	C₂×C₄×C₇	—	4	8	no	—
868	C₂×C₄×C₇	—	4	8	no	—
869	C₂×C₄×C₇	—	4	8	no	—
870	C₂×C₄×C₇	—	4	4	no	—
871	C₂×C₄×C₇	2₋¹⁺⁴	1	4	yes	—
872	C₂×C₄×C₇	C₂⁵	1	4	yes	—
873	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
874	C₂×C₄×C₇	C₂⁵	1	4	yes	—
875	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
876	C₂×C₄×C₇	C₂⁵	1	4	yes	—
877	C₂×C₄×C₇	C₂⁵	1	2	yes	—
878	C₂×C₄×C₇	C₂⁵	1	2	yes	—
879	C₂×C₄×C₇	C₂⁵	1	4	yes	—
880	C₂×C₄×C₇	C₂⁵	1	2	yes	—
881	C₂×C₄×C₇	C₂⁵	1	4	yes	—
882	C₂×C₄×C₇	C₂⁵	1	4	yes	—
883	C₂×C₄×C₇	C₂⁵	1	4	yes	—
884	C₂×C₄×C₇	C₂⁵	1	4	yes	—
885	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
886	C₂×C₄×C₇	C₂⁵	1	4	yes	—
887	C₂×C₄×C₇	C₂⁵	1	4	yes	—
888	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
889	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
890	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
891	C₂×#41	C₂³×C₇	1	2	yes	—
892	C₂×#41	C₂³×C₇	1	4	yes	—
893	C₂×#41	C₂³×C₇	1	8	yes	—
894	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
895	C₂²×Q₈	C₂³×C₇	1	2	yes	—
896	C₂²×Q₈	C₂³×C₇	1	4	yes	—
897	C₂²×Q₈	C₂³×C₇	1	8	yes	—
898	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
899	C₂²×D₄	C₂³×C₇	1	2	yes	—
900	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
901	C₂³×C₄	C₂³×C₇	1	2	yes	—
902	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
903	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
904	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
905	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
906	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
907	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
908	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
909	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
910	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
911	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
912	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
913	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
914	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
915	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
916	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
917	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
918	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
919	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
920	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
921	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
922	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
923	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
924	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
925	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
926	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
927	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
928	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
929	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
930	#127	C₂³×C₇	1	4	yes	—
931	#127	C₂³×C₇	1	1	yes	characteristic
932	#126	C₂³×C₇	1	8	yes	—
933	#126	C₂³×C₇	1	8	yes	—
934	#126	C₂³×C₇	1	8	yes	—
935	#126	C₂³×C₇	1	8	yes	—
936	#126	C₂³×C₇	1	4	yes	—
937	#126	C₂³×C₇	1	4	yes	—
938	#126	C₂³×C₇	1	4	yes	—
939	#126	C₂³×C₇	1	4	yes	—
940	#126	C₂³×C₇	1	8	yes	—
941	#126	C₂³×C₇	1	8	yes	—
942	#126	C₂³×C₇	1	8	yes	—
943	#126	C₂³×C₇	1	8	yes	—
944	#126	C₂³×C₇	1	8	yes	—
945	#126	C₂³×C₇	1	8	yes	—
946	#126	C₂³×C₇	1	8	yes	—
947	#126	C₂³×C₇	1	8	yes	—
948	#126	C₂³×C₇	1	8	yes	—
949	#126	C₂³×C₇	1	8	yes	—
950	#126	C₂³×C₇	1	8	yes	—
951	#125	C₂³×C₇	1	4	yes	—
952	#125	C₂³×C₇	1	4	yes	—
953	#125	C₂³×C₇	1	2	yes	—
954	#125	C₂³×C₇	1	2	yes	—
955	#125	C₂³×C₇	1	4	yes	—
956	#125	C₂³×C₇	1	4	yes	—
957	#125	C₂³×C₇	1	4	yes	—
958	#125	C₂³×C₇	1	8	yes	—
959	#125	C₂³×C₇	1	2	yes	—
960	#125	C₂³×C₇	1	2	yes	—
961	#125	C₂³×C₇	1	2	yes	—
962	#125	C₂³×C₇	1	4	yes	—
963	#125	C₂³×C₇	1	4	yes	—
964	#125	C₂³×C₇	1	8	yes	—
965	#125	C₂³×C₇	1	4	yes	—
966	#125	C₂³×C₇	1	4	yes	—
967	#125	C₂³×C₇	1	4	yes	—
968	#125	C₂³×C₇	1	4	yes	—
969	#125	C₂³×C₇	1	8	yes	—
970	#125	C₂³×C₇	1	8	yes	—
971	#125	C₂³×C₇	1	8	yes	—
972	#125	C₂³×C₇	1	8	yes	—
973	#125	C₂³×C₇	1	8	yes	—
974	#125	C₂³×C₇	1	8	yes	—
975	#125	C₂³×C₇	1	8	yes	—
976	#124	C₂³×C₇	1	4	yes	—
977	#124	C₂³×C₇	1	8	yes	—
978	#124	C₂³×C₇	1	8	yes	—
979	#124	C₂³×C₇	1	4	yes	—
980	#124	C₂³×C₇	1	4	yes	—
981	#124	C₂³×C₇	1	4	yes	—
982	#124	C₂³×C₇	1	4	yes	—
983	#124	C₂³×C₇	1	4	yes	—
984	#124	C₂³×C₇	1	4	yes	—
985	#124	C₂³×C₇	1	8	yes	—
986	#124	C₂³×C₇	1	2	yes	—
987	#124	C₂³×C₇	1	8	yes	—
988	#124	C₂³×C₇	1	8	yes	—
989	#124	C₂³×C₇	1	8	yes	—
990	#124	C₂³×C₇	1	8	yes	—
991	#124	C₂³×C₇	1	8	yes	—
992	#123	C₂³×C₇	1	8	yes	—
993	#123	C₂³×C₇	1	8	yes	—
994	#123	C₂³×C₇	1	8	yes	—
995	#123	C₂³×C₇	1	4	yes	—
996	#123	C₂³×C₇	1	8	yes	—
997	#123	C₂³×C₇	1	8	yes	—
998	#123	C₂³×C₇	1	4	yes	—
999	#123	C₂³×C₇	1	4	yes	—
1000	#123	C₂³×C₇	1	8	yes	—
1001	#123	C₂³×C₇	1	4	yes	—
1002	#123	C₂³×C₇	1	4	yes	—
1003	#123	C₂³×C₇	1	8	yes	—
1004	#123	C₂³×C₇	1	8	yes	—
1005	#123	C₂³×C₇	1	8	yes	—
1006	#123	C₂³×C₇	1	8	yes	—
1007	#123	C₂³×C₇	1	8	yes	—
1008	#123	C₂³×C₇	1	8	yes	—
1009	#123	C₂³×C₇	1	8	yes	—
1010	#123	C₂³×C₇	1	8	yes	—
1011	#123	C₂³×C₇	1	8	yes	—
1012	#123	C₂³×C₇	1	8	yes	—
1013	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1014	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1015	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1016	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1017	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1018	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1019	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1020	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1021	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1022	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1023	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1024	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1025	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1026	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1027	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1028	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1029	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1030	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1031	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1032	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1033	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1034	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1035	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1036	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1037	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1038	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1039	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1040	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1041	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1042	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1043	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1044	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1045	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1046	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1047	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1048	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1049	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1050	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1051	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1052	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1053	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1054	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1055	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1056	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1057	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1058	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1059	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1060	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1061	#121	C₂³×C₇	1	4	yes	—
1062	#121	C₂³×C₇	1	4	yes	—
1063	#121	C₂³×C₇	1	2	yes	—
1064	#121	C₂³×C₇	1	2	yes	—
1065	#121	C₂³×C₇	1	2	yes	—
1066	#121	C₂³×C₇	1	4	yes	—
1067	#121	C₂³×C₇	1	2	yes	—
1068	#121	C₂³×C₇	1	4	yes	—
1069	#121	C₂³×C₇	1	4	yes	—
1070	#121	C₂³×C₇	1	4	yes	—
1071	#121	C₂³×C₇	1	4	yes	—
1072	#121	C₂³×C₇	1	8	yes	—
1073	#121	C₂³×C₇	1	8	yes	—
1074	#121	C₂³×C₇	1	8	yes	—
1075	#121	C₂³×C₇	1	8	yes	—
1076	#120	C₂³×C₇	1	8	yes	—
1077	#120	C₂³×C₇	1	4	yes	—
1078	C₄×Q₈	C₂³×C₇	1	2	yes	—
1079	C₄×Q₈	C₂³×C₇	1	2	yes	—
1080	C₄×Q₈	C₂³×C₇	1	2	yes	—
1081	C₄×Q₈	C₂³×C₇	1	2	yes	—
1082	C₄×Q₈	C₂³×C₇	1	2	yes	—
1083	C₄×Q₈	C₂³×C₇	1	2	yes	—
1084	C₄×Q₈	C₂³×C₇	1	4	yes	—
1085	C₄×Q₈	C₂³×C₇	1	4	yes	—
1086	C₄×Q₈	C₂³×C₇	1	4	yes	—
1087	C₄×Q₈	C₂³×C₇	1	4	yes	—
1088	C₄×Q₈	C₂³×C₇	1	4	yes	—
1089	C₄×Q₈	C₂³×C₇	1	4	yes	—
1090	C₄×Q₈	C₂³×C₇	1	4	yes	—
1091	C₄×Q₈	C₂³×C₇	1	2	yes	—
1092	C₄×Q₈	C₂³×C₇	1	2	yes	—
1093	C₄×Q₈	C₂³×C₇	1	2	yes	—
1094	C₄×Q₈	C₂³×C₇	1	4	yes	—
1095	C₄×Q₈	C₂³×C₇	1	2	yes	—
1096	C₄×Q₈	C₂³×C₇	1	2	yes	—
1097	C₄×Q₈	C₂³×C₇	1	4	yes	—
1098	C₄×Q₈	C₂³×C₇	1	2	yes	—
1099	C₄×Q₈	C₂³×C₇	1	8	yes	—
1100	C₄×Q₈	C₂³×C₇	1	4	yes	—
1101	C₄×Q₈	C₂³×C₇	1	4	yes	—
1102	C₄×Q₈	C₂³×C₇	1	8	yes	—
1103	C₄×Q₈	C₂³×C₇	1	8	yes	—
1104	C₄×Q₈	C₂³×C₇	1	8	yes	—
1105	C₄×D₄	C₂³×C₇	1	2	yes	—
1106	C₄×D₄	C₂³×C₇	1	2	yes	—
1107	C₄×D₄	C₂³×C₇	1	2	yes	—
1108	C₄×D₄	C₂³×C₇	1	2	yes	—
1109	C₄×D₄	C₂³×C₇	1	4	yes	—
1110	C₄×D₄	C₂³×C₇	1	4	yes	—
1111	C₄×D₄	C₂³×C₇	1	2	yes	—
1112	C₄×D₄	C₂³×C₇	1	2	yes	—
1113	C₄×D₄	C₂³×C₇	1	4	yes	—
1114	C₄×D₄	C₂³×C₇	1	4	yes	—
1115	C₄×D₄	C₂³×C₇	1	4	yes	—
1116	C₄×D₄	C₂³×C₇	1	4	yes	—
1117	C₄×D₄	C₂³×C₇	1	8	yes	—
1118	C₄×D₄	C₂³×C₇	1	8	yes	—
1119	C₄×D₄	C₂³×C₇	1	4	yes	—
1120	C₄×D₄	C₂³×C₇	1	4	yes	—
1121	C₄×D₄	C₂³×C₇	1	4	yes	—
1122	C₄×D₄	C₂³×C₇	1	4	yes	—
1123	C₄×D₄	C₂³×C₇	1	8	yes	—
1124	C₄×D₄	C₂³×C₇	1	4	yes	—
1125	C₄×D₄	C₂³×C₇	1	8	yes	—
1126	C₄×D₄	C₂³×C₇	1	2	yes	—
1127	C₄×D₄	C₂³×C₇	1	2	yes	—
1128	C₄×D₄	C₂³×C₇	1	8	yes	—
1129	C₄×D₄	C₂³×C₇	1	8	yes	—
1130	C₄×D₄	C₂³×C₇	1	8	yes	—
1131	C₄×D₄	C₂³×C₇	1	8	yes	—
1132	#117	C₂³×C₇	1	2	yes	—
1133	#117	C₂³×C₇	1	2	yes	—
1134	#117	C₂³×C₇	1	2	yes	—
1135	#117	C₂³×C₇	1	2	yes	—
1136	#117	C₂³×C₇	1	4	yes	—
1137	#117	C₂³×C₇	1	2	yes	—
1138	#117	C₂³×C₇	1	2	yes	—
1139	#117	C₂³×C₇	1	4	yes	—
1140	#117	C₂³×C₇	1	2	yes	—
1141	#117	C₂³×C₇	1	2	yes	—
1142	#117	C₂³×C₇	1	2	yes	—
1143	#117	C₂³×C₇	1	4	yes	—
1144	#117	C₂³×C₇	1	8	yes	—
1145	#117	C₂³×C₇	1	4	yes	—
1146	#117	C₂³×C₇	1	4	yes	—
1147	#117	C₂³×C₇	1	4	yes	—
1148	#117	C₂³×C₇	1	8	yes	—
1149	#117	C₂³×C₇	1	8	yes	—
1150	#117	C₂³×C₇	1	8	yes	—
1151	#117	C₂³×C₇	1	8	yes	—
1152	#117	C₂³×C₇	1	8	yes	—
1153	#117	C₂³×C₇	1	8	yes	—
1154	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1155	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1156	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1157	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1158	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1159	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1160	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1161	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1162	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1163	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1164	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1165	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1166	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1167	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1168	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1170	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1171	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1172	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1173	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1174	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1175	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1176	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1177	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1178	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1179	C₂×C₄²	C₂³×C₇	1	4	yes	—
1180	C₂×C₄²	C₂³×C₇	1	2	yes	—
1181	C₂×C₄²	C₂³×C₇	1	4	yes	—
1182	C₂²×C₇	—	2	1	no	—
1183	C₂²×C₇	—	2	1	no	—
1184	C₂²×C₇	—	2	2	no	—
1185	C₂²×C₇	—	2	4	no	—
1186	C₂²×C₇	—	2	4	no	—
1187	C₂²×C₇	—	2	4	no	—
1188	C₂²×C₇	—	2	4	no	—
1189	C₂²×C₇	—	2	2	no	—
1190	C₂²×C₇	—	2	2	no	—
1191	C₂²×C₇	—	2	4	no	—
1192	C₂²×C₇	—	2	4	no	—
1193	C₂²×C₇	—	8	2	no	—
1194	C₂²×C₇	—	8	4	no	—
1195	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1196	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1197	C₄×C₇	—	2	2	no	—
1198	C₄×C₇	—	2	4	no	—
1199	C₄×C₇	—	2	4	no	—
1200	C₄×C₇	—	2	1	no	—
1201	C₄×C₇	—	2	1	no	—
1202	C₄×C₇	—	2	4	no	—
1203	C₄×C₇	—	2	4	no	—
1204	C₄×C₇	—	2	4	no	—
1205	C₄×C₇	—	2	4	no	—
1206	C₄×C₇	—	2	4	no	—
1207	C₄×C₇	—	2	2	no	—
1208	C₄×C₇	—	2	4	no	—
1209	C₄×C₇	—	2	4	no	—
1210	C₄×C₇	—	2	2	no	—
1211	C₄×C₇	—	2	4	no	—
1212	C₄×C₇	—	2	1	no	—
1213	C₄×C₇	—	2	1	no	—
1214	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1215	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1216	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1217	C₂⁴	C₂⁴×C₇	1	2	yes	—
1218	#41	—	2	8	no	—
1219	#41	—	8	4	no	—
1220	#41	—	8	8	no	—
1221	C₂×Q₈	—	2	4	no	—
1222	C₂×Q₈	—	8	2	no	—
1223	C₂×Q₈	—	8	4	no	—
1224	C₂×Q₈	—	8	8	no	—
1225	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1226	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1227	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1228	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1229	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1230	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1231	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1232	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1233	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1234	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1235	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1236	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1237	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1238	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1239	C₂×D₄	—	2	4	no	—
1240	C₂×D₄	—	8	2	no	—
1241	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1242	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1243	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1244	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1245	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1246	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1247	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1248	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1249	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1250	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1251	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1252	C₂²×C₄	—	2	4	no	—
1253	C₂²×C₄	—	8	2	no	—
1254	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1255	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1256	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1257	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1259	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1263	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1265	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1266	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1267	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1268	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1269	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1270	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1271	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1272	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1273	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1274	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1275	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1276	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1277	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1278	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1279	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1280	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1281	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1282	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1283	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1284	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1285	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1286	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1287	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1288	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1289	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1290	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1291	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1292	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1293	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1294	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1295	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1296	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1297	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1298	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1299	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1300	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1301	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1302	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1303	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1304	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1305	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1306	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1307	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1308	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1309	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1310	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1311	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1312	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1313	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1314	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1315	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1316	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1317	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1318	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1319	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1320	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1321	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1322	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1323	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1324	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1325	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1326	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1327	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1328	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1329	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1330	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1331	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1332	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1333	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1334	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1335	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1336	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1337	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1338	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1339	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1340	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1341	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1342	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1343	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1344	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1345	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1346	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1347	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1348	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1349	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1350	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1351	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1352	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1353	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1354	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1356	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1357	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1358	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1359	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1360	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1361	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1362	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1363	C₄²	C₂⁴×C₇	1	2	yes	—
1364	C₄²	C₂⁴×C₇	1	4	yes	—
1365	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1366	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1367	C₄²	C₂⁴×C₇	1	4	yes	—
1368	C₄²	C₂⁴×C₇	1	4	yes	—
1369	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1370	C₄²	C₂⁴×C₇	1	2	yes	—
1371	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1372	C₄²	C₂⁴×C₇	1	4	yes	—
1373	C₄²	C₂⁴×C₇	1	4	yes	—
1374	C₄²	C₂⁴×C₇	1	4	yes	—
1375	C₄²	C₂⁴×C₇	1	4	yes	—
1376	C₄²	C₂⁴×C₇	1	4	yes	—
1377	C₄²	C₂⁴×C₇	1	4	yes	—
1378	C₄²	C₂⁴×C₇	1	8	yes	—
1379	C₄²	C₂⁴×C₇	1	8	yes	—
1380	C₄²	C₂⁴×C₇	1	8	yes	—
1381	C₄²	C₂⁴×C₇	1	8	yes	—
1382	C₂×C₇	—	2	2	no	—
1383	C₂×C₇	—	4	4	no	—
1384	C₂×C₇	—	4	2	no	—
1385	C₂×C₇	—	4	4	no	—
1386	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1387	C₂×C₇	H(7,𝔽₂)	1	1	yes	characteristic
1388	C₂×C₇	2₋¹⁺⁶	1	1	yes	characteristic
1389	C₂³	—	2	2	no	—
1390	C₂³	—	2	4	no	—
1391	C₂³	—	4	2	no	—
1392	C₂³	—	4	1	no	—
1393	C₂³	—	4	1	no	—
1394	C₂³	—	4	2	no	—
1395	C₂³	C₂⁵×C₇	1	2	yes	—
1396	C₂³	C₂⁵×C₇	1	4	yes	—
1397	C₂³	C₂⁵×C₇	1	4	yes	—
1398	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1399	Q₈	—	2	4	no	—
1400	Q₈	—	2	4	no	—
1401	Q₈	—	2	4	no	—
1402	Q₈	—	4	2	no	—
1403	Q₈	—	4	8	no	—
1404	Q₈	—	4	8	no	—
1405	Q₈	—	4	4	no	—
1406	Q₈	—	4	2	no	—
1407	Q₈	—	4	8	no	—
1408	Q₈	—	4	2	no	—
1409	Q₈	—	4	2	no	—
1410	Q₈	—	4	4	no	—
1411	Q₈	—	4	2	no	—
1412	Q₈	—	4	2	no	—
1413	D₄	—	2	8	no	—
1414	D₄	—	2	4	no	—
1415	D₄	—	2	4	no	—
1416	D₄	—	2	4	no	—
1417	D₄	—	4	8	no	—
1418	D₄	—	4	4	no	—
1419	D₄	—	4	8	no	—
1420	D₄	—	4	2	no	—
1421	D₄	—	4	2	no	—
1422	D₄	—	4	8	no	—
1423	D₄	—	4	4	no	—
1424	C₂×C₄	—	2	2	no	—
1425	C₂×C₄	—	2	4	no	—
1426	C₂×C₄	—	2	4	no	—
1427	C₂×C₄	—	2	4	no	—
1428	C₂×C₄	—	2	8	no	—
1429	C₂×C₄	—	4	1	no	—
1430	C₂×C₄	—	4	2	no	—
1431	C₂×C₄	—	4	4	no	—
1432	C₂×C₄	—	4	4	no	—
1433	C₂×C₄	—	4	8	no	—
1434	C₂×C₄	—	4	4	no	—
1435	C₂×C₄	—	4	1	no	—
1436	C₂×C₄	—	4	4	no	—
1437	C₂×C₄	—	4	1	no	—
1438	C₂×C₄	—	4	2	no	—
1439	C₂×C₄	—	4	4	no	—
1440	C₂×C₄	—	4	1	no	—
1441	C₂×C₄	—	4	8	no	—
1442	C₂×C₄	—	4	8	no	—
1443	C₂×C₄	—	4	8	no	—
1444	C₂×C₄	—	4	4	no	—
1445	C₂×C₄	C₇×2₋¹⁺⁴	1	4	yes	—
1446	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1447	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1448	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1449	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1450	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1451	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1452	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1453	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1454	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1455	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1456	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1457	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1458	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1459	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1460	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1461	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1462	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1463	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1464	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1465	C₇	#62879	1	1	yes	characteristic, direct product factor, Sylow
1466	C₂²	—	2	1	no	—
1467	C₂²	—	2	1	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	4	no	—
1470	C₂²	—	2	4	no	—
1471	C₂²	—	2	4	no	—
1472	C₂²	—	2	4	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	2	2	no	—
1475	C₂²	—	2	4	no	—
1476	C₂²	—	2	4	no	—
1477	C₂²	—	8	2	no	—
1478	C₂²	—	8	4	no	—
1479	C₂²	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1480	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1481	C₄	—	2	2	no	—
1482	C₄	—	2	4	no	—
1483	C₄	—	2	4	no	—
1484	C₄	—	2	1	no	—
1485	C₄	—	2	1	no	—
1486	C₄	—	2	4	no	—
1487	C₄	—	2	4	no	—
1488	C₄	—	2	4	no	—
1489	C₄	—	2	4	no	—
1490	C₄	—	2	4	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	4	no	—
1493	C₄	—	2	4	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	4	no	—
1496	C₄	—	2	1	no	—
1497	C₄	—	2	1	no	—
1498	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1499	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1500	C₂	—	2	2	no	—
1501	C₂	—	4	2	no	—
1502	C₂	—	4	4	no	—
1503	C₂	—	4	4	no	—
1504	C₂	C₂²×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1505	C₂	C₇×H(7,𝔽₂)	1	1	yes	characteristic
1506	C₂	C₇×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3565	C₂	semidirect
2. C₇×#3565	C₂	semidirect
3. C₇×#3564	C₂	semidirect
4. C₇×#3561	C₂	semidirect
5. C₇×#3557	C₂	semidirect
6. C₇×#3555	C₂	semidirect
7. C₇×#3554	C₂	semidirect
8. C₇×#3552	C₂	semidirect
9. C₇×#3550	C₂	semidirect
10. C₇×#3544	C₂	semidirect
11. C₇×#3538	C₂	semidirect
12. C₇×#3535	C₂	semidirect
13. C₇×#3510	C₂	semidirect
14. C₇×#3507	C₂	semidirect
15. C₇×#3506	C₂	semidirect
16. C₇×#3503	C₂	semidirect
17. C₇×#3502	C₂	semidirect
18. C₇×#3501	C₂	semidirect
19. C₇×#3495	C₂	semidirect
20. C₇×#3494	C₂	semidirect
21. C₇×#3458	C₂	semidirect
22. C₇×#3455	C₂	semidirect
23. C₂×C₇×#542	C₂	semidirect
24. C₇×#563	C₂²	semidirect
25. C₇×#563	C₂²	semidirect
26. C₇×#563	C₂²	semidirect
27. C₇×#563	C₂²	semidirect
28. C₇×#563	C₂²	semidirect
29. C₇×#563	C₂²	semidirect
30. C₇×#562	C₂²	semidirect
31. C₇×#562	C₂²	semidirect
32. C₇×#559	C₂²	semidirect
33. C₇×#559	C₂²	semidirect
34. C₇×#559	C₂²	semidirect
35. C₇×#559	C₂²	semidirect
36. C₇×Q₈²	C₂²	semidirect
37. C₇×Q₈²	C₂²	semidirect
38. C₇×Q₈²	C₂²	semidirect
39. C₇×#557	C₂²	semidirect
40. C₇×#557	C₂²	semidirect
41. C₇×#557	C₂²	semidirect
42. C₇×#557	C₂²	semidirect
43. C₇×#557	C₂²	semidirect
44. C₇×#557	C₂²	semidirect
45. C₇×#556	C₂²	semidirect
46. C₇×#556	C₂²	semidirect
47. C₇×#556	C₂²	semidirect
48. C₇×#556	C₂²	semidirect
49. C₇×#556	C₂²	semidirect
50. C₇×#556	C₂²	semidirect
51. C₇×#556	C₂²	semidirect
52. C₇×#556	C₂²	semidirect
54. C₇×#555	C₂²	semidirect
56. C₇×#554	C₂²	semidirect
57. C₇×#554	C₂²	semidirect
58. C₇×#554	C₂²	semidirect
59. C₇×#554	C₂²	semidirect
60. C₇×#554	C₂²	semidirect
61. C₇×#554	C₂²	semidirect
62. C₇×#554	C₂²	semidirect
65. C₇×#553	C₂²	semidirect
67. C₇×#552	C₂²	semidirect
68. C₇×#552	C₂²	semidirect
69. C₇×#552	C₂²	semidirect
70. C₇×#552	C₂²	semidirect
71. C₇×#552	C₂²	semidirect
72. C₇×#552	C₂²	semidirect
77. C₇×#550	C₂²	semidirect
79. C₇×D₄×Q₈	C₂²	semidirect
80. C₇×D₄×Q₈	C₂²	semidirect
81. C₇×D₄×Q₈	C₂²	semidirect
82. C₇×D₄×Q₈	C₂²	semidirect
83. C₇×#548	C₂²	semidirect
85. C₇×#547	C₂²	semidirect
86. C₇×#547	C₂²	semidirect
93. C₇×#544	C₂²	semidirect
94. C₇×#544	C₂²	semidirect
95. C₇×#544	C₂²	semidirect
96. C₇×#544	C₂²	semidirect
97. C₇×#544	C₂²	semidirect
98. C₇×#544	C₂²	semidirect
99. C₇×#544	C₂²	semidirect
108. C₇×#542	C₂²	semidirect
109. C₇×#542	C₂²	semidirect
110. C₇×#542	C₂²	semidirect
111. C₇×#542	C₂²	semidirect
112. C₇×#542	C₂²	semidirect
113. C₇×#542	C₂²	semidirect
114. C₇×#542	C₂²	semidirect
115. C₇×#542	C₂²	semidirect
116. C₇×#542	C₂²	semidirect
117. C₇×#542	C₂²	semidirect
118. C₇×#541	C₂²	semidirect
119. C₇×#541	C₂²	semidirect
120. C₇×#541	C₂²	semidirect
121. C₇×#541	C₂²	semidirect
122. C₇×#541	C₂²	semidirect
124. C₇×#540	C₂²	semidirect
128. C₇×#539	C₂²	semidirect
129. C₇×#539	C₂²	semidirect
130. C₇×#539	C₂²	semidirect
131. C₇×#539	C₂²	semidirect
136. C₇×#536	C₂²	semidirect
137. C₇×#536	C₂²	semidirect
138. C₇×#536	C₂²	semidirect
145. C₇×#533	C₂²	semidirect
146. C₇×#533	C₂²	semidirect
147. C₇×#533	C₂²	semidirect
148. C₇×#533	C₂²	semidirect
152. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
155. C₇×#529	C₂²	semidirect
156. C₇×#529	C₂²	semidirect
157. C₇×#529	C₂²	semidirect
158. C₇×#529	C₂²	semidirect
159. C₇×#529	C₂²	semidirect
179. #62879	C₇	direct (N × H)
471. #3565	C₂×C₇	semidirect
472. #3565	C₂×C₇	semidirect
473. #3564	C₂×C₇	semidirect
474. #3561	C₂×C₇	semidirect
475. #3557	C₂×C₇	semidirect
476. #3555	C₂×C₇	semidirect
477. #3554	C₂×C₇	semidirect
478. #3552	C₂×C₇	semidirect
479. #3550	C₂×C₇	semidirect
480. #3544	C₂×C₇	semidirect
481. #3538	C₂×C₇	semidirect
482. #3535	C₂×C₇	semidirect
483. #3510	C₂×C₇	semidirect
484. #3507	C₂×C₇	semidirect
485. #3506	C₂×C₇	semidirect
486. #3503	C₂×C₇	semidirect
487. #3502	C₂×C₇	semidirect
488. #3501	C₂×C₇	semidirect
489. #3495	C₂×C₇	semidirect
490. #3494	C₂×C₇	semidirect
491. #3458	C₂×C₇	semidirect
492. #3455	C₂×C₇	semidirect
493. C₂×#542	C₂×C₇	semidirect
660. #563	C₂²×C₇	semidirect
661. #563	C₂²×C₇	semidirect
662. #563	C₂²×C₇	semidirect
663. #563	C₂²×C₇	semidirect
664. #563	C₂²×C₇	semidirect
665. #563	C₂²×C₇	semidirect
666. #562	C₂²×C₇	semidirect
667. #562	C₂²×C₇	semidirect
668. #559	C₂²×C₇	semidirect
669. #559	C₂²×C₇	semidirect
670. #559	C₂²×C₇	semidirect
671. #559	C₂²×C₇	semidirect
672. Q₈²	C₂²×C₇	semidirect
673. Q₈²	C₂²×C₇	semidirect
674. Q₈²	C₂²×C₇	semidirect
675. #557	C₂²×C₇	semidirect
676. #557	C₂²×C₇	semidirect
677. #557	C₂²×C₇	semidirect
678. #557	C₂²×C₇	semidirect
679. #557	C₂²×C₇	semidirect
680. #557	C₂²×C₇	semidirect
681. #556	C₂²×C₇	semidirect
682. #556	C₂²×C₇	semidirect
683. #556	C₂²×C₇	semidirect
684. #556	C₂²×C₇	semidirect
685. #556	C₂²×C₇	semidirect
686. #556	C₂²×C₇	semidirect
687. #556	C₂²×C₇	semidirect
688. #556	C₂²×C₇	semidirect
690. #555	C₂²×C₇	semidirect
692. #554	C₂²×C₇	semidirect
693. #554	C₂²×C₇	semidirect
694. #554	C₂²×C₇	semidirect
695. #554	C₂²×C₇	semidirect
696. #554	C₂²×C₇	semidirect
697. #554	C₂²×C₇	semidirect
698. #554	C₂²×C₇	semidirect
701. #553	C₂²×C₇	semidirect
703. #552	C₂²×C₇	semidirect
704. #552	C₂²×C₇	semidirect
705. #552	C₂²×C₇	semidirect
706. #552	C₂²×C₇	semidirect
707. #552	C₂²×C₇	semidirect
708. #552	C₂²×C₇	semidirect
713. #550	C₂²×C₇	semidirect
715. D₄×Q₈	C₂²×C₇	semidirect
716. D₄×Q₈	C₂²×C₇	semidirect
717. D₄×Q₈	C₂²×C₇	semidirect
718. D₄×Q₈	C₂²×C₇	semidirect
719. #548	C₂²×C₇	semidirect
721. #547	C₂²×C₇	semidirect
722. #547	C₂²×C₇	semidirect
729. #544	C₂²×C₇	semidirect
730. #544	C₂²×C₇	semidirect
731. #544	C₂²×C₇	semidirect
732. #544	C₂²×C₇	semidirect
733. #544	C₂²×C₇	semidirect
734. #544	C₂²×C₇	semidirect
735. #544	C₂²×C₇	semidirect
744. #542	C₂²×C₇	semidirect
745. #542	C₂²×C₇	semidirect
746. #542	C₂²×C₇	semidirect
747. #542	C₂²×C₇	semidirect
748. #542	C₂²×C₇	semidirect
749. #542	C₂²×C₇	semidirect
750. #542	C₂²×C₇	semidirect
751. #542	C₂²×C₇	semidirect
752. #542	C₂²×C₇	semidirect
753. #542	C₂²×C₇	semidirect
754. #541	C₂²×C₇	semidirect
755. #541	C₂²×C₇	semidirect
756. #541	C₂²×C₇	semidirect
757. #541	C₂²×C₇	semidirect
758. #541	C₂²×C₇	semidirect
760. #540	C₂²×C₇	semidirect
764. #539	C₂²×C₇	semidirect
765. #539	C₂²×C₇	semidirect
766. #539	C₂²×C₇	semidirect
767. #539	C₂²×C₇	semidirect
772. #536	C₂²×C₇	semidirect
773. #536	C₂²×C₇	semidirect
774. #536	C₂²×C₇	semidirect
781. #533	C₂²×C₇	semidirect
782. #533	C₂²×C₇	semidirect
783. #533	C₂²×C₇	semidirect
784. #533	C₂²×C₇	semidirect
788. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
791. #529	C₂²×C₇	semidirect
792. #529	C₂²×C₇	semidirect
793. #529	C₂²×C₇	semidirect
794. #529	C₂²×C₇	semidirect
795. #529	C₂²×C₇	semidirect
1465. C₇	#62879	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#3565	2
C₇×#3564	2
C₇×#3561	2
C₇×#3557	2
C₇×#3555	2
C₇×#3554	2
C₇×#3552	2
C₇×#3550	2
C₇×#3544	2
C₇×#3538	2
C₇×#3535	2
C₇×#3510	2
C₇×#3507	2
C₇×#3506	2
C₇×#3503	2
C₇×#3502	2
C₇×#3501	2
C₇×#3495	2
C₇×#3494	2
C₇×#3458	2
C₇×#3455	2
C₂×C₇×#542	2
#62879	7

Subgroups — C7×#62879 #13240095

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62879 #13240095