Subgroups — C₇×#62752 #13239968

Order 1792.

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	C₇×#3565	C₂	1	4	yes	maximal, complemented
2	C₇×#3564	C₂	1	4	yes	maximal, complemented
3	C₇×#3563	C₂	1	2	yes	maximal, complemented
4	C₇×#3563	C₂	1	2	yes	maximal, complemented
5	C₇×#3561	C₂	1	2	yes	maximal, complemented
6	C₇×#3559	C₂	1	2	yes	maximal, complemented
7	C₇×#3555	C₂	1	2	yes	maximal, complemented
8	C₇×#3552	C₂	1	2	yes	maximal, complemented
9	C₇×#3547	C₂	1	2	yes	maximal, complemented
10	C₇×#3544	C₂	1	2	yes	maximal, complemented
11	C₇×#3538	C₂	1	2	yes	maximal, complemented
12	C₇×#3536	C₂	1	2	yes	maximal, complemented
13	C₇×#3535	C₂	1	4	yes	maximal, complemented
14	C₇×#3531	C₂	1	4	yes	maximal, complemented
15	C₇×#3482	C₂	1	4	yes	maximal, complemented
16	C₇×Q₈×#41	C₂	1	2	yes	maximal, complemented
17	C₇×#3475	C₂	1	4	yes	maximal, complemented
18	C₇×#3475	C₂	1	2	yes	maximal, complemented
19	C₇×#3461	C₂	1	4	yes	maximal, complemented
20	C₇×#3461	C₂	1	4	yes	maximal, complemented
21	C₇×#3458	C₂	1	2	yes	maximal, complemented
22	C₇×#3455	C₂	1	2	yes	maximal, complemented
23	C₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×#533	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#564	C₂²	1	4	yes	complemented
27	C₇×#563	C₂²	1	4	yes	complemented
28	C₇×#563	C₂²	1	4	yes	complemented
29	C₇×#563	C₂²	1	8	yes	complemented
30	C₇×#563	C₂²	1	8	yes	complemented
31	C₇×#563	C₂²	1	8	yes	complemented
32	C₇×#563	C₂²	1	8	yes	complemented
33	C₇×#562	C₂²	1	8	yes	—
34	C₇×#562	C₂²	1	4	yes	complemented
35	C₇×#562	C₂²	1	8	yes	complemented
36	C₇×Q₈²	C₂²	1	2	yes	complemented
37	C₇×#557	C₂²	1	4	yes	complemented
38	C₇×#557	C₂²	1	4	yes	complemented
39	C₇×#557	C₂²	1	2	yes	complemented
40	C₇×#556	C₂²	1	4	yes	complemented
41	C₇×#556	C₂²	1	8	yes	complemented
42	C₇×#556	C₂²	1	4	yes	complemented
43	C₇×#556	C₂²	1	2	yes	complemented
44	C₇×#555	C₂²	1	4	yes	complemented
45	C₇×#555	C₂²	1	2	yes	complemented
46	C₇×#554	C₂²	1	4	yes	—
47	C₇×#554	C₂²	1	8	yes	—
48	C₇×#554	C₂²	1	4	yes	complemented
49	C₇×#554	C₂²	1	4	yes	complemented
50	C₇×#554	C₂²	1	2	yes	complemented
51	C₇×#554	C₂²	1	2	yes	complemented
52	C₇×#553	C₂²	1	4	yes	complemented
53	C₇×#553	C₂²	1	4	yes	complemented
54	C₇×#553	C₂²	1	4	yes	complemented
55	C₇×#552	C₂²	1	8	yes	—
56	C₇×#552	C₂²	1	4	yes	—
57	C₇×#552	C₂²	1	4	yes	complemented
58	C₇×#552	C₂²	1	4	yes	complemented
59	C₇×#552	C₂²	1	8	yes	complemented
60	C₇×#552	C₂²	1	4	yes	complemented
61	C₇×#552	C₂²	1	8	yes	complemented
62	C₇×#552	C₂²	1	4	yes	complemented
63	C₇×#552	C₂²	1	4	yes	complemented
64	C₇×#551	C₂²	1	8	yes	—
65	C₇×#551	C₂²	1	8	yes	—
66	C₇×#551	C₂²	1	8	yes	—
67	C₇×D₄×Q₈	C₂²	1	4	yes	—
68	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
69	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
70	C₇×#548	C₂²	1	4	yes	—
71	C₇×#548	C₂²	1	4	yes	complemented
72	C₇×#547	C₂²	1	4	yes	—
73	C₇×#547	C₂²	1	4	yes	complemented
74	C₇×#547	C₂²	1	2	yes	complemented
75	C₇×#547	C₂²	1	8	yes	complemented
76	C₇×#546	C₂²	1	4	yes	—
77	C₇×#546	C₂²	1	8	yes	—
78	C₇×#544	C₂²	1	4	yes	—
79	C₇×#544	C₂²	1	4	yes	—
80	C₇×#544	C₂²	1	4	yes	complemented
81	C₇×#544	C₂²	1	4	yes	complemented
82	C₇×#544	C₂²	1	4	yes	complemented
83	C₇×#544	C₂²	1	4	yes	complemented
84	C₇×#544	C₂²	1	4	yes	complemented
85	C₇×#544	C₂²	1	4	yes	complemented
86	C₇×#543	C₂²	1	4	yes	—
87	C₇×#543	C₂²	1	4	yes	—
88	C₇×#542	C₂²	1	4	yes	—
89	C₇×#542	C₂²	1	8	yes	complemented
90	C₇×#542	C₂²	1	4	yes	complemented
91	C₇×#542	C₂²	1	8	yes	complemented
92	C₇×#542	C₂²	1	4	yes	complemented
93	C₇×#542	C₂²	1	4	yes	complemented
94	C₇×#542	C₂²	1	8	yes	complemented
95	C₇×#541	C₂²	1	8	yes	complemented
96	C₇×#541	C₂²	1	8	yes	complemented
97	C₇×#541	C₂²	1	4	yes	complemented
98	C₇×#541	C₂²	1	4	yes	complemented
99	C₇×#541	C₂²	1	8	yes	complemented
100	C₇×#541	C₂²	1	4	yes	complemented
101	C₇×#540	C₂²	1	4	yes	complemented
102	C₇×#539	C₂²	1	4	yes	—
103	C₇×#539	C₂²	1	4	yes	—
104	C₇×#539	C₂²	1	4	yes	—
105	C₇×#539	C₂²	1	8	yes	complemented
106	C₇×#539	C₂²	1	8	yes	complemented
107	C₇×#539	C₂²	1	8	yes	complemented
108	C₇×#539	C₂²	1	4	yes	complemented
109	C₇×#538	C₂²	1	4	yes	—
110	C₇×#538	C₂²	1	4	yes	—
111	C₇×#537	C₂²	1	4	yes	—
112	C₇×#537	C₂²	1	4	yes	—
113	C₇×#536	C₂²	1	4	yes	complemented
114	C₇×#536	C₂²	1	8	yes	complemented
115	C₇×#536	C₂²	1	4	yes	complemented
116	C₇×#533	C₂²	1	2	yes	—
117	C₇×#533	C₂²	1	2	yes	—
118	C₇×#533	C₂²	1	2	yes	—
119	C₇×#533	C₂²	1	2	yes	—
120	C₇×#533	C₂²	1	1	yes	characteristic
121	C₇×#533	C₂²	1	4	yes	—
122	C₇×#533	C₂²	1	1	yes	characteristic, complemented
123	C₇×#533	C₂²	1	2	yes	complemented
124	C₇×#533	C₂²	1	2	yes	complemented
125	C₇×#533	C₂²	1	2	yes	complemented
126	C₇×#533	C₂²	1	2	yes	complemented
127	C₇×#533	C₂²	1	1	yes	characteristic, complemented
128	C₇×#533	C₂²	1	8	yes	complemented
129	C₇×#533	C₂²	1	8	yes	complemented
130	C₇×#533	C₂²	1	4	yes	complemented
131	C₇×#533	C₂²	1	8	yes	complemented
132	C₇×#532	C₂²	1	1	yes	characteristic
133	C₇×#532	C₂²	1	1	yes	characteristic, complemented
134	C₇×#532	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
137	C₇×#529	C₂²	1	2	yes	—
138	C₇×#529	C₂²	1	2	yes	—
139	C₇×#529	C₂²	1	2	yes	—
140	C₇×#529	C₂²	1	2	yes	—
141	C₇×#529	C₂²	1	2	yes	—
142	C₇×#529	C₂²	1	2	yes	—
143	C₇×#529	C₂²	1	2	yes	—
144	C₇×#529	C₂²	1	2	yes	—
145	C₇×#529	C₂²	1	2	yes	—
146	C₇×#529	C₂²	1	2	yes	—
147	C₇×#529	C₂²	1	2	yes	complemented
148	C₇×#529	C₂²	1	2	yes	complemented
149	C₇×#529	C₂²	1	2	yes	complemented
150	C₇×#529	C₂²	1	2	yes	complemented
151	C₇×#529	C₂²	1	8	yes	complemented
152	C₇×#529	C₂²	1	8	yes	complemented
153	C₇×#529	C₂²	1	8	yes	complemented
154	C₇×#529	C₂²	1	4	yes	complemented
155	C₇×#529	C₂²	1	8	yes	complemented
156	C₇×#529	C₂²	1	8	yes	complemented
157	C₇×#529	C₂²	1	8	yes	complemented
158	C₂×C₇×#126	C₂²	1	2	yes	—
159	C₂×C₇×#125	C₂²	1	1	yes	characteristic
160	C₂×C₇×#125	C₂²	1	2	yes	complemented
161	C₂×C₇×#124	C₂²	1	1	yes	characteristic
162	C₇×#525	C₂²	1	2	yes	—
163	C₇×#525	C₂²	1	2	yes	—
164	C₇×#525	C₂²	1	2	yes	—
165	C₇×#525	C₂²	1	4	yes	—
166	C₂×C₇×#123	C₂²	1	2	yes	—
167	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
168	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
169	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
170	C₂×C₇×#121	C₂²	1	1	yes	characteristic
171	C₄×C₇×#41	C₂²	1	2	yes	—
172	C₄×C₇×#41	C₂²	1	4	yes	—
173	C₄×C₇×#41	C₂²	1	2	yes	complemented
174	C₄×C₇×#41	C₂²	1	2	yes	complemented
175	C₄×C₇×#41	C₂²	1	8	yes	complemented
176	C₄×C₇×#41	C₂²	1	4	yes	complemented
177	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
178	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
179	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
180	C₂×C₄×C₇×Q₈	C₂²	1	4	yes	complemented
181	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
182	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
183	C₂×C₇×#117	C₂²	1	2	yes	—
184	C₂×C₇×#117	C₂²	1	2	yes	—
185	C₂×C₇×#117	C₂²	1	4	yes	—
186	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
187	#62752	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
188	C₂×C₇×#41	C₂³	1	2	yes	—
189	C₂×C₇×#41	C₂³	1	2	yes	—
190	C₂×C₇×#41	C₂³	1	2	yes	—
191	C₂×C₇×#41	C₂³	1	8	yes	—
192	C₂×C₇×#41	C₂³	1	4	yes	—
193	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
194	C₂²×C₇×Q₈	C₂³	1	2	yes	—
195	C₂²×C₇×Q₈	C₂³	1	2	yes	—
196	C₂²×C₇×Q₈	C₂³	1	4	yes	—
197	C₂²×C₇×D₄	C₂³	1	2	yes	—
198	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₇	C₂³	1	2	yes	—
201	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
203	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
204	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
205	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
206	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
207	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
208	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
209	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
210	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
211	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
215	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
216	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
217	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
218	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
219	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
220	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
221	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
222	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
223	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
224	C₇×#127	C₂³	1	1	yes	characteristic
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	4	yes	—
230	C₇×#126	C₂³	1	4	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×#126	C₂³	1	8	yes	—
241	C₇×#126	C₂³	1	8	yes	—
242	C₇×#126	C₂³	1	8	yes	—
243	C₇×#126	C₂³	1	8	yes	—
244	C₇×#125	C₂³	1	2	yes	—
245	C₇×#125	C₂³	1	2	yes	—
246	C₇×#125	C₂³	1	2	yes	—
247	C₇×#125	C₂³	1	2	yes	—
248	C₇×#125	C₂³	1	4	yes	—
249	C₇×#125	C₂³	1	4	yes	—
250	C₇×#125	C₂³	1	4	yes	—
251	C₇×#125	C₂³	1	4	yes	—
252	C₇×#125	C₂³	1	2	yes	—
253	C₇×#125	C₂³	1	2	yes	—
254	C₇×#125	C₂³	1	2	yes	—
255	C₇×#125	C₂³	1	8	yes	—
256	C₇×#125	C₂³	1	8	yes	—
257	C₇×#125	C₂³	1	8	yes	—
258	C₇×#125	C₂³	1	8	yes	—
259	C₇×#125	C₂³	1	4	yes	—
260	C₇×#125	C₂³	1	8	yes	—
261	C₇×#125	C₂³	1	8	yes	—
262	C₇×#125	C₂³	1	4	yes	—
263	C₇×#125	C₂³	1	4	yes	—
264	C₇×#125	C₂³	1	8	yes	—
265	C₇×#125	C₂³	1	8	yes	—
266	C₇×#125	C₂³	1	8	yes	—
267	C₇×#125	C₂³	1	8	yes	—
268	C₇×#125	C₂³	1	8	yes	—
269	C₇×#125	C₂³	1	8	yes	—
270	C₇×#125	C₂³	1	8	yes	—
271	C₇×#124	C₂³	1	2	yes	—
272	C₇×#124	C₂³	1	2	yes	—
273	C₇×#124	C₂³	1	2	yes	—
274	C₇×#124	C₂³	1	2	yes	—
275	C₇×#124	C₂³	1	2	yes	—
276	C₇×#124	C₂³	1	2	yes	—
277	C₇×#124	C₂³	1	2	yes	—
278	C₇×#124	C₂³	1	8	yes	—
279	C₇×#124	C₂³	1	4	yes	—
280	C₇×#124	C₂³	1	8	yes	—
281	C₇×#124	C₂³	1	8	yes	—
282	C₇×#124	C₂³	1	8	yes	—
283	C₇×#124	C₂³	1	8	yes	—
284	C₇×#124	C₂³	1	8	yes	—
285	C₇×#123	C₂³	1	4	yes	—
286	C₇×#123	C₂³	1	4	yes	—
287	C₇×#123	C₂³	1	4	yes	—
288	C₇×#123	C₂³	1	4	yes	—
289	C₇×#123	C₂³	1	4	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×#123	C₂³	1	8	yes	—
303	C₇×#123	C₂³	1	8	yes	—
304	C₇×#123	C₂³	1	8	yes	—
305	C₇×#123	C₂³	1	8	yes	—
306	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
307	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
308	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
309	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
310	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
311	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
312	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
314	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
319	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
320	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
321	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
322	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
323	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
324	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
325	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
326	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
328	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
329	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
332	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
334	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
335	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
336	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
337	C₇×C₂²⋊Q₈	C₂³	1	4	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	4	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	2	yes	—
351	C₇×#121	C₂³	1	2	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	2	yes	—
356	C₇×#121	C₂³	1	2	yes	—
357	C₇×#121	C₂³	1	2	yes	—
358	C₇×#121	C₂³	1	2	yes	—
359	C₇×#121	C₂³	1	2	yes	—
360	C₇×#121	C₂³	1	4	yes	—
361	C₇×#121	C₂³	1	4	yes	—
362	C₇×#121	C₂³	1	8	yes	—
363	C₇×#121	C₂³	1	8	yes	—
364	C₇×#121	C₂³	1	8	yes	—
365	C₇×#121	C₂³	1	4	yes	—
366	C₇×#121	C₂³	1	8	yes	—
367	C₇×#121	C₂³	1	8	yes	—
368	C₇×#121	C₂³	1	8	yes	—
369	C₇×#120	C₂³	1	4	yes	—
370	C₇×#120	C₂³	1	8	yes	—
371	C₄×C₇×Q₈	C₂³	1	2	yes	—
372	C₄×C₇×Q₈	C₂³	1	2	yes	—
373	C₄×C₇×Q₈	C₂³	1	2	yes	—
374	C₄×C₇×Q₈	C₂³	1	2	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	8	yes	—
380	C₄×C₇×Q₈	C₂³	1	4	yes	—
381	C₄×C₇×Q₈	C₂³	1	4	yes	—
382	C₄×C₇×Q₈	C₂³	1	4	yes	—
383	C₄×C₇×Q₈	C₂³	1	4	yes	—
384	C₄×C₇×Q₈	C₂³	1	4	yes	—
385	C₄×C₇×Q₈	C₂³	1	4	yes	—
386	C₄×C₇×Q₈	C₂³	1	8	yes	—
387	C₄×C₇×Q₈	C₂³	1	2	yes	—
388	C₄×C₇×Q₈	C₂³	1	2	yes	—
389	C₄×C₇×Q₈	C₂³	1	4	yes	—
390	C₄×C₇×Q₈	C₂³	1	4	yes	—
391	C₄×C₇×Q₈	C₂³	1	2	yes	—
392	C₄×C₇×Q₈	C₂³	1	2	yes	—
393	C₄×C₇×Q₈	C₂³	1	2	yes	—
394	C₄×C₇×Q₈	C₂³	1	2	yes	—
395	C₄×C₇×Q₈	C₂³	1	8	yes	—
396	C₄×C₇×Q₈	C₂³	1	4	yes	—
397	C₄×C₇×Q₈	C₂³	1	8	yes	—
398	C₄×C₇×D₄	C₂³	1	2	yes	—
399	C₄×C₇×D₄	C₂³	1	4	yes	—
400	C₄×C₇×D₄	C₂³	1	2	yes	—
401	C₄×C₇×D₄	C₂³	1	4	yes	—
402	C₄×C₇×D₄	C₂³	1	4	yes	—
403	C₄×C₇×D₄	C₂³	1	2	yes	—
404	C₄×C₇×D₄	C₂³	1	2	yes	—
405	C₄×C₇×D₄	C₂³	1	4	yes	—
406	C₄×C₇×D₄	C₂³	1	4	yes	—
407	C₄×C₇×D₄	C₂³	1	4	yes	—
408	C₄×C₇×D₄	C₂³	1	2	yes	—
409	C₄×C₇×D₄	C₂³	1	2	yes	—
410	C₄×C₇×D₄	C₂³	1	8	yes	—
411	C₄×C₇×D₄	C₂³	1	8	yes	—
412	C₄×C₇×D₄	C₂³	1	4	yes	—
413	C₄×C₇×D₄	C₂³	1	4	yes	—
414	C₄×C₇×D₄	C₂³	1	4	yes	—
415	C₄×C₇×D₄	C₂³	1	4	yes	—
416	C₄×C₇×D₄	C₂³	1	8	yes	—
417	C₄×C₇×D₄	C₂³	1	8	yes	—
418	C₄×C₇×D₄	C₂³	1	4	yes	—
419	C₄×C₇×D₄	C₂³	1	4	yes	—
420	C₄×C₇×D₄	C₂³	1	2	yes	—
421	C₄×C₇×D₄	C₂³	1	2	yes	—
422	C₄×C₇×D₄	C₂³	1	2	yes	—
423	C₄×C₇×D₄	C₂³	1	2	yes	—
424	C₄×C₇×D₄	C₂³	1	8	yes	—
425	C₄×C₇×D₄	C₂³	1	8	yes	—
426	C₄×C₇×D₄	C₂³	1	8	yes	—
427	C₄×C₇×D₄	C₂³	1	4	yes	—
428	C₄×C₇×D₄	C₂³	1	8	yes	—
429	C₇×#117	C₂³	1	4	yes	—
430	C₇×#117	C₂³	1	2	yes	—
431	C₇×#117	C₂³	1	4	yes	—
432	C₇×#117	C₂³	1	4	yes	—
433	C₇×#117	C₂³	1	4	yes	—
434	C₇×#117	C₂³	1	4	yes	—
435	C₇×#117	C₂³	1	4	yes	—
436	C₇×#117	C₂³	1	8	yes	—
437	C₇×#117	C₂³	1	4	yes	—
438	C₇×#117	C₂³	1	4	yes	—
439	C₇×#117	C₂³	1	8	yes	—
440	C₇×#117	C₂³	1	4	yes	—
441	C₇×#117	C₂³	1	4	yes	—
442	C₇×#117	C₂³	1	4	yes	—
443	C₇×#117	C₂³	1	8	yes	—
444	C₇×#117	C₂³	1	2	yes	—
445	C₇×#117	C₂³	1	2	yes	—
446	C₇×#117	C₂³	1	4	yes	—
447	C₇×#117	C₂³	1	4	yes	—
448	C₇×#117	C₂³	1	8	yes	—
449	C₇×#117	C₂³	1	4	yes	—
450	C₇×#117	C₂³	1	8	yes	—
451	C₇×#117	C₂³	1	8	yes	—
452	C₇×#117	C₂³	1	8	yes	—
453	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
454	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
456	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
457	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
458	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
459	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
461	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
462	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
463	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
464	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
465	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
466	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
467	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
468	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
469	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
470	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
471	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
472	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
473	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
474	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
475	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
476	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
477	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
478	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
479	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
480	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
481	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
482	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
483	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
484	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
485	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
486	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
487	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
488	C₂×C₄²×C₇	C₂³	1	2	yes	—
489	C₂×C₄²×C₇	C₂³	1	4	yes	—
490	C₂×C₄²×C₇	C₂³	1	8	yes	—
491	C₂×C₄²×C₇	C₂³	1	4	yes	—
492	C₂×C₄²×C₇	C₂³	1	8	yes	—
493	#3565	C₂×C₇	1	4	yes	complemented
494	#3564	C₂×C₇	1	4	yes	complemented
495	#3563	C₂×C₇	1	2	yes	complemented
496	#3563	C₂×C₇	1	2	yes	complemented
497	#3561	C₂×C₇	1	2	yes	complemented
498	#3559	C₂×C₇	1	2	yes	complemented
499	#3555	C₂×C₇	1	2	yes	complemented
500	#3552	C₂×C₇	1	2	yes	complemented
501	#3547	C₂×C₇	1	2	yes	complemented
502	#3544	C₂×C₇	1	2	yes	complemented
503	#3538	C₂×C₇	1	2	yes	complemented
504	#3536	C₂×C₇	1	2	yes	complemented
505	#3535	C₂×C₇	1	4	yes	complemented
506	#3531	C₂×C₇	1	4	yes	complemented
507	#3482	C₂×C₇	1	4	yes	complemented
508	Q₈×#41	C₂×C₇	1	2	yes	complemented
509	#3475	C₂×C₇	1	4	yes	complemented
510	#3475	C₂×C₇	1	2	yes	complemented
511	#3461	C₂×C₇	1	4	yes	complemented
512	#3461	C₂×C₇	1	4	yes	complemented
513	#3458	C₂×C₇	1	2	yes	complemented
514	#3455	C₂×C₇	1	2	yes	complemented
515	#3444	C₂×C₇	1	1	yes	characteristic, complemented
516	C₂×#533	C₂×C₇	1	1	yes	characteristic, complemented
517	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
518	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
519	C₂⁴×C₇	C₂⁴	1	2	yes	—
520	C₇×#41	—	2	8	no	—
521	C₇×#41	—	4	4	no	—
522	C₇×#41	—	4	4	no	—
523	C₇×#41	—	4	16	no	—
524	C₇×#41	—	4	8	no	—
525	C₂×C₇×Q₈	—	4	4	no	—
526	C₂×C₇×Q₈	—	4	2	no	—
527	C₂×C₇×Q₈	—	4	4	no	—
528	C₂×C₇×Q₈	—	4	8	no	—
529	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
530	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
531	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
532	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
533	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
534	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
535	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
536	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
537	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
538	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
539	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
540	C₂×C₇×D₄	—	4	2	no	—
541	C₂×C₇×D₄	—	4	4	no	—
542	C₂×C₇×D₄	C₂⁴	1	4	yes	—
543	C₂×C₇×D₄	C₂⁴	1	2	yes	—
544	C₂×C₇×D₄	C₂⁴	1	4	yes	—
545	C₂×C₇×D₄	C₂⁴	1	4	yes	—
546	C₂×C₇×D₄	C₂⁴	1	2	yes	—
547	C₂×C₇×D₄	C₂⁴	1	4	yes	—
548	C₂×C₇×D₄	C₂⁴	1	8	yes	—
549	C₂×C₇×D₄	C₂⁴	1	8	yes	—
550	C₂×C₇×D₄	C₂⁴	1	2	yes	—
551	C₂×C₇×D₄	C₂⁴	1	4	yes	—
552	C₂×C₇×D₄	C₂⁴	1	2	yes	—
553	C₂×C₇×D₄	C₂⁴	1	2	yes	—
554	C₂²×C₄×C₇	—	2	4	no	—
555	C₂²×C₄×C₇	—	2	8	no	—
556	C₂²×C₄×C₇	—	4	2	no	—
557	C₂²×C₄×C₇	—	4	2	no	—
558	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
567	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
568	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
569	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
570	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
572	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
574	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
582	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
583	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
584	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
585	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
586	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
587	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
588	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
589	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
591	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
592	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
593	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
594	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
595	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
596	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
597	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
598	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
599	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
600	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
602	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
603	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
605	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
606	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
607	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
608	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
609	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
610	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
611	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
612	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
613	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
614	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
615	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
616	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
617	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
618	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
619	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
620	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
621	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
622	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
623	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
624	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
625	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
626	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
627	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
628	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
629	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
630	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
631	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
632	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
633	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
634	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
635	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
636	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
637	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
638	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
639	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
640	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
641	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
642	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
643	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
644	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
645	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
646	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
647	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
648	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
649	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
650	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
651	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
652	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
653	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
654	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
655	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
656	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
657	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
658	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
659	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
660	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
661	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
662	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
663	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
664	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
665	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
666	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
667	C₄²×C₇	C₂⁴	1	1	yes	characteristic
668	C₄²×C₇	C₂⁴	1	1	yes	characteristic
669	C₄²×C₇	C₂⁴	1	1	yes	characteristic
670	C₄²×C₇	C₂⁴	1	1	yes	characteristic
671	C₄²×C₇	C₂⁴	1	1	yes	characteristic
672	C₄²×C₇	C₂⁴	1	1	yes	characteristic
673	C₄²×C₇	C₂⁴	1	1	yes	characteristic
674	C₄²×C₇	C₂⁴	1	1	yes	characteristic
675	C₄²×C₇	C₂⁴	1	1	yes	characteristic
676	C₄²×C₇	C₂⁴	1	1	yes	characteristic
677	C₄²×C₇	C₂⁴	1	1	yes	characteristic
678	C₄²×C₇	C₂⁴	1	1	yes	characteristic
679	C₄²×C₇	C₂⁴	1	8	yes	—
680	C₄²×C₇	C₂⁴	1	4	yes	—
681	C₄²×C₇	C₂⁴	1	8	yes	—
682	C₄²×C₇	C₂⁴	1	4	yes	—
683	C₄²×C₇	C₂⁴	1	4	yes	—
684	C₄²×C₇	C₂⁴	1	8	yes	—
685	C₄²×C₇	C₂⁴	1	8	yes	—
686	C₄²×C₇	C₂⁴	1	8	yes	—
687	C₄²×C₇	C₂⁴	1	1	yes	characteristic
688	C₄²×C₇	C₂⁴	1	1	yes	characteristic
689	C₄²×C₇	C₂⁴	1	1	yes	characteristic
690	C₄²×C₇	C₂⁴	1	1	yes	characteristic
691	C₄²×C₇	C₂⁴	1	4	yes	—
692	C₄²×C₇	C₂⁴	1	8	yes	—
693	C₄²×C₇	C₂⁴	1	4	yes	—
694	#564	C₂²×C₇	1	4	yes	complemented
695	#563	C₂²×C₇	1	8	yes	complemented
696	#563	C₂²×C₇	1	8	yes	complemented
697	#563	C₂²×C₇	1	8	yes	complemented
698	#563	C₂²×C₇	1	8	yes	complemented
699	#563	C₂²×C₇	1	4	yes	complemented
700	#563	C₂²×C₇	1	4	yes	complemented
701	#562	C₂²×C₇	1	8	yes	—
702	#562	C₂²×C₇	1	8	yes	complemented
703	#562	C₂²×C₇	1	4	yes	complemented
704	Q₈²	C₂²×C₇	1	2	yes	complemented
705	#557	C₂²×C₇	1	2	yes	complemented
706	#557	C₂²×C₇	1	4	yes	complemented
707	#557	C₂²×C₇	1	4	yes	complemented
708	#556	C₂²×C₇	1	2	yes	complemented
709	#556	C₂²×C₇	1	4	yes	complemented
710	#556	C₂²×C₇	1	4	yes	complemented
711	#556	C₂²×C₇	1	8	yes	complemented
712	#555	C₂²×C₇	1	2	yes	complemented
713	#555	C₂²×C₇	1	4	yes	complemented
714	#554	C₂²×C₇	1	8	yes	—
715	#554	C₂²×C₇	1	4	yes	—
716	#554	C₂²×C₇	1	2	yes	complemented
717	#554	C₂²×C₇	1	4	yes	complemented
718	#554	C₂²×C₇	1	2	yes	complemented
719	#554	C₂²×C₇	1	4	yes	complemented
720	#553	C₂²×C₇	1	4	yes	complemented
721	#553	C₂²×C₇	1	4	yes	complemented
722	#553	C₂²×C₇	1	4	yes	complemented
723	#552	C₂²×C₇	1	4	yes	—
724	#552	C₂²×C₇	1	8	yes	—
725	#552	C₂²×C₇	1	4	yes	complemented
726	#552	C₂²×C₇	1	4	yes	complemented
727	#552	C₂²×C₇	1	4	yes	complemented
728	#552	C₂²×C₇	1	8	yes	complemented
729	#552	C₂²×C₇	1	4	yes	complemented
730	#552	C₂²×C₇	1	4	yes	complemented
731	#552	C₂²×C₇	1	8	yes	complemented
732	#551	C₂²×C₇	1	8	yes	—
733	#551	C₂²×C₇	1	8	yes	—
734	#551	C₂²×C₇	1	8	yes	—
735	D₄×Q₈	C₂²×C₇	1	4	yes	—
736	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
737	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
738	#548	C₂²×C₇	1	4	yes	—
739	#548	C₂²×C₇	1	4	yes	complemented
740	#547	C₂²×C₇	1	4	yes	—
741	#547	C₂²×C₇	1	4	yes	complemented
742	#547	C₂²×C₇	1	2	yes	complemented
743	#547	C₂²×C₇	1	8	yes	complemented
744	#546	C₂²×C₇	1	8	yes	—
745	#546	C₂²×C₇	1	4	yes	—
746	#544	C₂²×C₇	1	4	yes	—
747	#544	C₂²×C₇	1	4	yes	—
748	#544	C₂²×C₇	1	4	yes	complemented
749	#544	C₂²×C₇	1	4	yes	complemented
750	#544	C₂²×C₇	1	4	yes	complemented
751	#544	C₂²×C₇	1	4	yes	complemented
752	#544	C₂²×C₇	1	4	yes	complemented
753	#544	C₂²×C₇	1	4	yes	complemented
754	#543	C₂²×C₇	1	4	yes	—
755	#543	C₂²×C₇	1	4	yes	—
756	#542	C₂²×C₇	1	4	yes	—
757	#542	C₂²×C₇	1	4	yes	complemented
758	#542	C₂²×C₇	1	4	yes	complemented
759	#542	C₂²×C₇	1	8	yes	complemented
760	#542	C₂²×C₇	1	4	yes	complemented
761	#542	C₂²×C₇	1	8	yes	complemented
762	#542	C₂²×C₇	1	8	yes	complemented
763	#541	C₂²×C₇	1	4	yes	complemented
764	#541	C₂²×C₇	1	4	yes	complemented
765	#541	C₂²×C₇	1	4	yes	complemented
766	#541	C₂²×C₇	1	8	yes	complemented
767	#541	C₂²×C₇	1	8	yes	complemented
768	#541	C₂²×C₇	1	8	yes	complemented
769	#540	C₂²×C₇	1	4	yes	complemented
770	#539	C₂²×C₇	1	4	yes	—
771	#539	C₂²×C₇	1	4	yes	—
772	#539	C₂²×C₇	1	4	yes	—
773	#539	C₂²×C₇	1	8	yes	complemented
774	#539	C₂²×C₇	1	8	yes	complemented
775	#539	C₂²×C₇	1	4	yes	complemented
776	#539	C₂²×C₇	1	8	yes	complemented
777	#538	C₂²×C₇	1	4	yes	—
778	#538	C₂²×C₇	1	4	yes	—
779	#537	C₂²×C₇	1	4	yes	—
780	#537	C₂²×C₇	1	4	yes	—
781	#536	C₂²×C₇	1	8	yes	complemented
782	#536	C₂²×C₇	1	4	yes	complemented
783	#536	C₂²×C₇	1	4	yes	complemented
784	#533	C₂²×C₇	1	2	yes	—
785	#533	C₂²×C₇	1	2	yes	—
786	#533	C₂²×C₇	1	2	yes	—
787	#533	C₂²×C₇	1	2	yes	—
788	#533	C₂²×C₇	1	1	yes	characteristic
789	#533	C₂²×C₇	1	4	yes	—
790	#533	C₂²×C₇	1	2	yes	complemented
791	#533	C₂²×C₇	1	2	yes	complemented
792	#533	C₂²×C₇	1	2	yes	complemented
793	#533	C₂²×C₇	1	2	yes	complemented
794	#533	C₂²×C₇	1	1	yes	characteristic, complemented
795	#533	C₂²×C₇	1	1	yes	characteristic, complemented
796	#533	C₂²×C₇	1	8	yes	complemented
797	#533	C₂²×C₇	1	8	yes	complemented
798	#533	C₂²×C₇	1	4	yes	complemented
799	#533	C₂²×C₇	1	8	yes	complemented
800	#532	C₂²×C₇	1	1	yes	characteristic
801	#532	C₂²×C₇	1	1	yes	characteristic, complemented
802	#532	C₂²×C₇	1	1	yes	characteristic, complemented
803	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
804	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
805	#529	C₂²×C₇	1	2	yes	—
806	#529	C₂²×C₇	1	2	yes	—
807	#529	C₂²×C₇	1	2	yes	—
808	#529	C₂²×C₇	1	2	yes	—
809	#529	C₂²×C₇	1	2	yes	—
810	#529	C₂²×C₇	1	2	yes	—
811	#529	C₂²×C₇	1	2	yes	—
812	#529	C₂²×C₇	1	2	yes	—
813	#529	C₂²×C₇	1	2	yes	—
814	#529	C₂²×C₇	1	2	yes	—
815	#529	C₂²×C₇	1	2	yes	complemented
816	#529	C₂²×C₇	1	2	yes	complemented
817	#529	C₂²×C₇	1	2	yes	complemented
818	#529	C₂²×C₇	1	2	yes	complemented
819	#529	C₂²×C₇	1	8	yes	complemented
820	#529	C₂²×C₇	1	8	yes	complemented
821	#529	C₂²×C₇	1	8	yes	complemented
822	#529	C₂²×C₇	1	4	yes	complemented
823	#529	C₂²×C₇	1	8	yes	complemented
824	#529	C₂²×C₇	1	8	yes	complemented
825	#529	C₂²×C₇	1	8	yes	complemented
826	C₂×#126	C₂²×C₇	1	2	yes	—
827	C₂×#125	C₂²×C₇	1	1	yes	characteristic
828	C₂×#125	C₂²×C₇	1	2	yes	complemented
829	C₂×#124	C₂²×C₇	1	1	yes	characteristic
830	#525	C₂²×C₇	1	2	yes	—
831	#525	C₂²×C₇	1	2	yes	—
832	#525	C₂²×C₇	1	2	yes	—
833	#525	C₂²×C₇	1	4	yes	—
834	C₂×#123	C₂²×C₇	1	2	yes	—
835	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
836	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
837	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
838	C₂×#121	C₂²×C₇	1	1	yes	characteristic
839	C₄×#41	C₂²×C₇	1	2	yes	—
840	C₄×#41	C₂²×C₇	1	4	yes	—
841	C₄×#41	C₂²×C₇	1	2	yes	complemented
842	C₄×#41	C₂²×C₇	1	2	yes	complemented
843	C₄×#41	C₂²×C₇	1	8	yes	complemented
844	C₄×#41	C₂²×C₇	1	4	yes	complemented
845	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
846	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
847	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
848	C₂×C₄×Q₈	C₂²×C₇	1	4	yes	complemented
849	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
850	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
851	C₂×#117	C₂²×C₇	1	2	yes	—
852	C₂×#117	C₂²×C₇	1	2	yes	—
853	C₂×#117	C₂²×C₇	1	4	yes	—
854	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
855	C₂³×C₇	—	2	2	no	—
856	C₂³×C₇	—	2	2	no	—
857	C₂³×C₇	—	2	4	no	—
858	C₂³×C₇	—	4	1	no	—
859	C₂³×C₇	—	4	2	no	—
860	C₂³×C₇	—	4	2	no	—
861	C₂³×C₇	C₂⁵	1	1	yes	characteristic
862	C₂³×C₇	C₂⁵	1	4	yes	—
863	C₂³×C₇	C₂⁵	1	4	yes	—
864	C₂³×C₇	C₂⁵	1	1	yes	characteristic
865	C₂³×C₇	C₂⁵	1	1	yes	characteristic
866	C₇×Q₈	—	2	4	no	—
867	C₇×Q₈	—	2	4	no	—
868	C₇×Q₈	—	2	8	no	—
869	C₇×Q₈	—	4	2	no	—
870	C₇×Q₈	—	4	4	no	—
871	C₇×Q₈	—	4	4	no	—
872	C₇×Q₈	—	4	8	no	—
873	C₇×Q₈	—	4	4	no	—
874	C₇×Q₈	—	4	2	no	—
875	C₇×Q₈	—	4	2	no	—
876	C₇×Q₈	—	4	8	no	—
877	C₇×D₄	—	2	8	no	—
878	C₇×D₄	—	2	8	no	—
879	C₇×D₄	—	2	8	no	—
880	C₇×D₄	—	2	4	no	—
881	C₇×D₄	—	2	4	no	—
882	C₇×D₄	—	4	2	no	—
883	C₇×D₄	—	4	4	no	—
884	C₇×D₄	—	4	2	no	—
885	C₇×D₄	—	4	2	no	—
886	C₇×D₄	—	4	4	no	—
887	C₇×D₄	—	4	8	no	—
888	C₇×D₄	—	4	8	no	—
889	C₂×C₄×C₇	—	2	2	no	—
890	C₂×C₄×C₇	—	2	4	no	—
891	C₂×C₄×C₇	—	2	2	no	—
892	C₂×C₄×C₇	—	2	2	no	—
893	C₂×C₄×C₇	—	2	8	no	—
894	C₂×C₄×C₇	—	2	2	no	—
895	C₂×C₄×C₇	—	2	2	no	—
896	C₂×C₄×C₇	—	2	8	no	—
897	C₂×C₄×C₇	—	2	2	no	—
898	C₂×C₄×C₇	—	2	2	no	—
899	C₂×C₄×C₇	—	2	8	no	—
900	C₂×C₄×C₇	—	2	8	no	—
901	C₂×C₄×C₇	—	2	2	no	—
902	C₂×C₄×C₇	—	2	2	no	—
903	C₂×C₄×C₇	—	2	2	no	—
904	C₂×C₄×C₇	—	2	8	no	—
905	C₂×C₄×C₇	—	4	1	no	—
906	C₂×C₄×C₇	—	4	1	no	—
907	C₂×C₄×C₇	—	4	1	no	—
908	C₂×C₄×C₇	—	4	1	no	—
909	C₂×C₄×C₇	—	4	1	no	—
910	C₂×C₄×C₇	—	4	1	no	—
911	C₂×C₄×C₇	—	4	1	no	—
912	C₂×C₄×C₇	—	4	2	no	—
913	C₂×C₄×C₇	—	4	4	no	—
914	C₂×C₄×C₇	—	4	8	no	—
915	C₂×C₄×C₇	—	4	2	no	—
916	C₂×C₄×C₇	—	4	4	no	—
917	C₂×C₄×C₇	—	4	8	no	—
918	C₂×C₄×C₇	—	4	8	no	—
919	C₂×C₄×C₇	—	4	8	no	—
920	C₂×C₄×C₇	2₋¹⁺⁴	1	4	yes	—
921	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
922	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
923	C₂×C₄×C₇	C₂⁵	1	4	yes	—
924	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
925	C₂×C₄×C₇	C₂⁵	1	4	yes	—
926	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
927	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
928	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
929	C₂×C₄×C₇	C₂⁵	1	4	yes	—
930	C₂×C₄×C₇	C₂⁵	1	4	yes	—
931	C₂×C₄×C₇	C₂⁵	1	8	yes	—
932	C₂×C₄×C₇	C₂⁵	1	4	yes	—
933	C₂×C₄×C₇	C₂⁵	1	8	yes	—
934	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
935	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
936	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
937	C₂×C₄×C₇	C₂⁵	1	4	yes	—
938	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
939	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
940	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
941	C₂×#41	C₂³×C₇	1	2	yes	—
942	C₂×#41	C₂³×C₇	1	2	yes	—
943	C₂×#41	C₂³×C₇	1	2	yes	—
944	C₂×#41	C₂³×C₇	1	8	yes	—
945	C₂×#41	C₂³×C₇	1	4	yes	—
946	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
947	C₂²×Q₈	C₂³×C₇	1	2	yes	—
948	C₂²×Q₈	C₂³×C₇	1	2	yes	—
949	C₂²×Q₈	C₂³×C₇	1	4	yes	—
950	C₂²×D₄	C₂³×C₇	1	2	yes	—
951	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
952	C₂³×C₄	C₂³×C₇	1	2	yes	—
953	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
954	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
955	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
956	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
957	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
958	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
959	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
960	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
961	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
962	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
963	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
964	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
965	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
966	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
967	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
968	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
969	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
970	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
971	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
972	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
973	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
974	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
975	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
976	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
977	#127	C₂³×C₇	1	1	yes	characteristic
978	#126	C₂³×C₇	1	4	yes	—
979	#126	C₂³×C₇	1	4	yes	—
980	#126	C₂³×C₇	1	4	yes	—
981	#126	C₂³×C₇	1	4	yes	—
982	#126	C₂³×C₇	1	4	yes	—
983	#126	C₂³×C₇	1	4	yes	—
984	#126	C₂³×C₇	1	8	yes	—
985	#126	C₂³×C₇	1	8	yes	—
986	#126	C₂³×C₇	1	8	yes	—
987	#126	C₂³×C₇	1	8	yes	—
988	#126	C₂³×C₇	1	8	yes	—
989	#126	C₂³×C₇	1	8	yes	—
990	#126	C₂³×C₇	1	8	yes	—
991	#126	C₂³×C₇	1	8	yes	—
992	#126	C₂³×C₇	1	8	yes	—
993	#126	C₂³×C₇	1	8	yes	—
994	#126	C₂³×C₇	1	8	yes	—
995	#126	C₂³×C₇	1	8	yes	—
996	#126	C₂³×C₇	1	8	yes	—
997	#125	C₂³×C₇	1	2	yes	—
998	#125	C₂³×C₇	1	2	yes	—
999	#125	C₂³×C₇	1	2	yes	—
1000	#125	C₂³×C₇	1	2	yes	—
1001	#125	C₂³×C₇	1	4	yes	—
1002	#125	C₂³×C₇	1	4	yes	—
1003	#125	C₂³×C₇	1	4	yes	—
1004	#125	C₂³×C₇	1	4	yes	—
1005	#125	C₂³×C₇	1	2	yes	—
1006	#125	C₂³×C₇	1	2	yes	—
1007	#125	C₂³×C₇	1	2	yes	—
1008	#125	C₂³×C₇	1	8	yes	—
1009	#125	C₂³×C₇	1	8	yes	—
1010	#125	C₂³×C₇	1	8	yes	—
1011	#125	C₂³×C₇	1	8	yes	—
1012	#125	C₂³×C₇	1	4	yes	—
1013	#125	C₂³×C₇	1	8	yes	—
1014	#125	C₂³×C₇	1	8	yes	—
1015	#125	C₂³×C₇	1	4	yes	—
1016	#125	C₂³×C₇	1	4	yes	—
1017	#125	C₂³×C₇	1	8	yes	—
1018	#125	C₂³×C₇	1	8	yes	—
1019	#125	C₂³×C₇	1	8	yes	—
1020	#125	C₂³×C₇	1	8	yes	—
1021	#125	C₂³×C₇	1	8	yes	—
1022	#125	C₂³×C₇	1	8	yes	—
1023	#125	C₂³×C₇	1	8	yes	—
1024	#124	C₂³×C₇	1	2	yes	—
1025	#124	C₂³×C₇	1	2	yes	—
1026	#124	C₂³×C₇	1	2	yes	—
1027	#124	C₂³×C₇	1	2	yes	—
1028	#124	C₂³×C₇	1	2	yes	—
1029	#124	C₂³×C₇	1	2	yes	—
1030	#124	C₂³×C₇	1	2	yes	—
1031	#124	C₂³×C₇	1	8	yes	—
1032	#124	C₂³×C₇	1	4	yes	—
1033	#124	C₂³×C₇	1	8	yes	—
1034	#124	C₂³×C₇	1	8	yes	—
1035	#124	C₂³×C₇	1	8	yes	—
1036	#124	C₂³×C₇	1	8	yes	—
1037	#124	C₂³×C₇	1	8	yes	—
1038	#123	C₂³×C₇	1	4	yes	—
1039	#123	C₂³×C₇	1	4	yes	—
1040	#123	C₂³×C₇	1	4	yes	—
1041	#123	C₂³×C₇	1	4	yes	—
1042	#123	C₂³×C₇	1	4	yes	—
1043	#123	C₂³×C₇	1	4	yes	—
1044	#123	C₂³×C₇	1	4	yes	—
1045	#123	C₂³×C₇	1	8	yes	—
1046	#123	C₂³×C₇	1	8	yes	—
1047	#123	C₂³×C₇	1	8	yes	—
1048	#123	C₂³×C₇	1	8	yes	—
1049	#123	C₂³×C₇	1	8	yes	—
1050	#123	C₂³×C₇	1	8	yes	—
1051	#123	C₂³×C₇	1	8	yes	—
1052	#123	C₂³×C₇	1	8	yes	—
1053	#123	C₂³×C₇	1	8	yes	—
1054	#123	C₂³×C₇	1	8	yes	—
1055	#123	C₂³×C₇	1	8	yes	—
1056	#123	C₂³×C₇	1	8	yes	—
1057	#123	C₂³×C₇	1	8	yes	—
1058	#123	C₂³×C₇	1	8	yes	—
1059	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1060	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1061	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1062	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1063	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1064	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1065	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1066	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1067	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1068	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1069	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1070	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1071	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1072	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1073	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1074	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1075	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1076	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1077	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1078	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1079	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1080	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1081	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1082	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1083	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1084	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1085	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1086	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1087	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1088	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1089	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1090	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1091	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1092	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1093	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1094	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1095	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1096	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1097	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1098	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1099	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1100	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1101	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1102	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1103	#121	C₂³×C₇	1	2	yes	—
1104	#121	C₂³×C₇	1	2	yes	—
1105	#121	C₂³×C₇	1	2	yes	—
1106	#121	C₂³×C₇	1	2	yes	—
1107	#121	C₂³×C₇	1	2	yes	—
1108	#121	C₂³×C₇	1	2	yes	—
1109	#121	C₂³×C₇	1	2	yes	—
1110	#121	C₂³×C₇	1	2	yes	—
1111	#121	C₂³×C₇	1	2	yes	—
1112	#121	C₂³×C₇	1	2	yes	—
1113	#121	C₂³×C₇	1	4	yes	—
1114	#121	C₂³×C₇	1	4	yes	—
1115	#121	C₂³×C₇	1	8	yes	—
1116	#121	C₂³×C₇	1	8	yes	—
1117	#121	C₂³×C₇	1	8	yes	—
1118	#121	C₂³×C₇	1	4	yes	—
1119	#121	C₂³×C₇	1	8	yes	—
1120	#121	C₂³×C₇	1	8	yes	—
1121	#121	C₂³×C₇	1	8	yes	—
1122	#120	C₂³×C₇	1	4	yes	—
1123	#120	C₂³×C₇	1	8	yes	—
1124	C₄×Q₈	C₂³×C₇	1	2	yes	—
1125	C₄×Q₈	C₂³×C₇	1	2	yes	—
1126	C₄×Q₈	C₂³×C₇	1	2	yes	—
1127	C₄×Q₈	C₂³×C₇	1	2	yes	—
1128	C₄×Q₈	C₂³×C₇	1	4	yes	—
1129	C₄×Q₈	C₂³×C₇	1	4	yes	—
1130	C₄×Q₈	C₂³×C₇	1	4	yes	—
1131	C₄×Q₈	C₂³×C₇	1	4	yes	—
1132	C₄×Q₈	C₂³×C₇	1	8	yes	—
1133	C₄×Q₈	C₂³×C₇	1	4	yes	—
1134	C₄×Q₈	C₂³×C₇	1	4	yes	—
1135	C₄×Q₈	C₂³×C₇	1	4	yes	—
1136	C₄×Q₈	C₂³×C₇	1	4	yes	—
1137	C₄×Q₈	C₂³×C₇	1	4	yes	—
1138	C₄×Q₈	C₂³×C₇	1	4	yes	—
1139	C₄×Q₈	C₂³×C₇	1	8	yes	—
1140	C₄×Q₈	C₂³×C₇	1	2	yes	—
1141	C₄×Q₈	C₂³×C₇	1	2	yes	—
1142	C₄×Q₈	C₂³×C₇	1	4	yes	—
1143	C₄×Q₈	C₂³×C₇	1	4	yes	—
1144	C₄×Q₈	C₂³×C₇	1	2	yes	—
1145	C₄×Q₈	C₂³×C₇	1	2	yes	—
1146	C₄×Q₈	C₂³×C₇	1	2	yes	—
1147	C₄×Q₈	C₂³×C₇	1	2	yes	—
1148	C₄×Q₈	C₂³×C₇	1	8	yes	—
1149	C₄×Q₈	C₂³×C₇	1	4	yes	—
1150	C₄×Q₈	C₂³×C₇	1	8	yes	—
1151	C₄×D₄	C₂³×C₇	1	2	yes	—
1152	C₄×D₄	C₂³×C₇	1	4	yes	—
1153	C₄×D₄	C₂³×C₇	1	4	yes	—
1154	C₄×D₄	C₂³×C₇	1	2	yes	—
1155	C₄×D₄	C₂³×C₇	1	4	yes	—
1156	C₄×D₄	C₂³×C₇	1	2	yes	—
1157	C₄×D₄	C₂³×C₇	1	2	yes	—
1158	C₄×D₄	C₂³×C₇	1	4	yes	—
1159	C₄×D₄	C₂³×C₇	1	4	yes	—
1160	C₄×D₄	C₂³×C₇	1	4	yes	—
1161	C₄×D₄	C₂³×C₇	1	2	yes	—
1162	C₄×D₄	C₂³×C₇	1	2	yes	—
1163	C₄×D₄	C₂³×C₇	1	8	yes	—
1164	C₄×D₄	C₂³×C₇	1	8	yes	—
1165	C₄×D₄	C₂³×C₇	1	4	yes	—
1166	C₄×D₄	C₂³×C₇	1	4	yes	—
1167	C₄×D₄	C₂³×C₇	1	4	yes	—
1168	C₄×D₄	C₂³×C₇	1	4	yes	—
1169	C₄×D₄	C₂³×C₇	1	8	yes	—
1170	C₄×D₄	C₂³×C₇	1	8	yes	—
1171	C₄×D₄	C₂³×C₇	1	4	yes	—
1172	C₄×D₄	C₂³×C₇	1	4	yes	—
1173	C₄×D₄	C₂³×C₇	1	2	yes	—
1174	C₄×D₄	C₂³×C₇	1	2	yes	—
1175	C₄×D₄	C₂³×C₇	1	2	yes	—
1176	C₄×D₄	C₂³×C₇	1	2	yes	—
1177	C₄×D₄	C₂³×C₇	1	8	yes	—
1178	C₄×D₄	C₂³×C₇	1	8	yes	—
1179	C₄×D₄	C₂³×C₇	1	8	yes	—
1180	C₄×D₄	C₂³×C₇	1	4	yes	—
1181	C₄×D₄	C₂³×C₇	1	8	yes	—
1182	#117	C₂³×C₇	1	4	yes	—
1183	#117	C₂³×C₇	1	2	yes	—
1184	#117	C₂³×C₇	1	4	yes	—
1185	#117	C₂³×C₇	1	4	yes	—
1186	#117	C₂³×C₇	1	4	yes	—
1187	#117	C₂³×C₇	1	4	yes	—
1188	#117	C₂³×C₇	1	4	yes	—
1189	#117	C₂³×C₇	1	8	yes	—
1190	#117	C₂³×C₇	1	4	yes	—
1191	#117	C₂³×C₇	1	4	yes	—
1192	#117	C₂³×C₇	1	8	yes	—
1193	#117	C₂³×C₇	1	4	yes	—
1194	#117	C₂³×C₇	1	4	yes	—
1195	#117	C₂³×C₇	1	4	yes	—
1196	#117	C₂³×C₇	1	8	yes	—
1197	#117	C₂³×C₇	1	2	yes	—
1198	#117	C₂³×C₇	1	2	yes	—
1199	#117	C₂³×C₇	1	4	yes	—
1200	#117	C₂³×C₇	1	4	yes	—
1201	#117	C₂³×C₇	1	8	yes	—
1202	#117	C₂³×C₇	1	4	yes	—
1203	#117	C₂³×C₇	1	8	yes	—
1204	#117	C₂³×C₇	1	8	yes	—
1205	#117	C₂³×C₇	1	8	yes	—
1206	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1207	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1208	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1209	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1210	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1211	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1212	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1214	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1216	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1217	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1218	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1219	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1220	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1221	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1222	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1223	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1224	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1225	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1226	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1227	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1228	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1229	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1230	C₂×C₄²	C₂³×C₇	1	2	yes	—
1231	C₂×C₄²	C₂³×C₇	1	4	yes	—
1232	C₂×C₄²	C₂³×C₇	1	8	yes	—
1233	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1234	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1235	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1236	C₂×C₄²	C₂³×C₇	1	4	yes	—
1237	C₂×C₄²	C₂³×C₇	1	8	yes	—
1238	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1239	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1240	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1241	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1242	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1243	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1244	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1245	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1246	C₂²×C₇	—	2	1	no	—
1247	C₂²×C₇	—	2	1	no	—
1248	C₂²×C₇	—	2	1	no	—
1249	C₂²×C₇	—	2	1	no	—
1250	C₂²×C₇	—	2	1	no	—
1251	C₂²×C₇	—	2	4	no	—
1252	C₂²×C₇	—	2	4	no	—
1253	C₂²×C₇	—	2	4	no	—
1254	C₂²×C₇	—	2	1	no	—
1255	C₂²×C₇	—	2	4	no	—
1256	C₂²×C₇	—	2	4	no	—
1257	C₂²×C₇	—	2	4	no	—
1258	C₂²×C₇	—	2	1	no	—
1259	C₂²×C₇	—	4	4	no	—
1260	C₂²×C₇	—	8	4	no	—
1261	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1262	C₂²×C₇	#585	1	2	yes	—
1263	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1264	C₄×C₇	—	2	1	no	—
1265	C₄×C₇	—	2	1	no	—
1266	C₄×C₇	—	2	4	no	—
1267	C₄×C₇	—	2	4	no	—
1268	C₄×C₇	—	2	1	no	—
1269	C₄×C₇	—	2	1	no	—
1270	C₄×C₇	—	2	1	no	—
1271	C₄×C₇	—	2	1	no	—
1272	C₄×C₇	—	2	8	no	—
1273	C₄×C₇	—	2	4	no	—
1274	C₄×C₇	—	2	1	no	—
1275	C₄×C₇	—	2	1	no	—
1276	C₄×C₇	—	2	1	no	—
1277	C₄×C₇	—	2	4	no	—
1278	C₄×C₇	—	2	4	no	—
1279	C₄×C₇	—	2	8	no	—
1280	C₄×C₇	—	2	4	no	—
1281	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1282	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1283	C₄×C₇	#585	1	2	yes	—
1284	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1285	C₂⁴	C₂⁴×C₇	1	2	yes	—
1286	#41	—	2	8	no	—
1287	#41	—	4	4	no	—
1288	#41	—	4	4	no	—
1289	#41	—	4	16	no	—
1290	#41	—	4	8	no	—
1291	C₂×Q₈	—	4	4	no	—
1292	C₂×Q₈	—	4	2	no	—
1293	C₂×Q₈	—	4	4	no	—
1294	C₂×Q₈	—	4	8	no	—
1295	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1296	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1297	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1298	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1299	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1300	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1301	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1302	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1303	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1304	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1305	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1306	C₂×D₄	—	4	2	no	—
1307	C₂×D₄	—	4	4	no	—
1308	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1309	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1310	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1311	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1312	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1313	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1314	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1315	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1316	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1317	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1318	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1319	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1320	C₂²×C₄	—	2	4	no	—
1321	C₂²×C₄	—	2	8	no	—
1322	C₂²×C₄	—	4	2	no	—
1323	C₂²×C₄	—	4	2	no	—
1324	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1325	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1326	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1327	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1329	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1330	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1332	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1333	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1334	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1335	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
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	4	yes	—
1340	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1341	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1342	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1343	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1345	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1346	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1347	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1348	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1349	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1350	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1351	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1352	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1353	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1354	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1355	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1356	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1357	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1358	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1359	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1360	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1361	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1362	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1363	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1364	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1365	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1366	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1367	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1368	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1369	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1370	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1371	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1372	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1373	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1374	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1375	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1376	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1377	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1378	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1379	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1380	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1381	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1382	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1383	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1384	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1385	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1386	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1387	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1388	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1389	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1390	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1391	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1392	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1393	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1394	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1395	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1396	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1397	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1398	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1399	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1400	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1401	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1402	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1403	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1404	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1405	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1406	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1407	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1408	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1409	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1410	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1411	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1412	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1413	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1414	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1415	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1416	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1417	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1418	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1419	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1420	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1421	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1422	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1423	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1424	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1425	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1426	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1427	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1428	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1429	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1430	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1431	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1432	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1433	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1434	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1435	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1436	C₄²	C₂⁴×C₇	1	4	yes	—
1437	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1438	C₄²	C₂⁴×C₇	1	8	yes	—
1439	C₄²	C₂⁴×C₇	1	4	yes	—
1440	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1441	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1442	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1443	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1444	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1445	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1446	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1447	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1448	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1449	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1450	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1451	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1452	C₄²	C₂⁴×C₇	1	8	yes	—
1453	C₄²	C₂⁴×C₇	1	4	yes	—
1454	C₄²	C₂⁴×C₇	1	8	yes	—
1455	C₄²	C₂⁴×C₇	1	4	yes	—
1456	C₄²	C₂⁴×C₇	1	4	yes	—
1457	C₄²	C₂⁴×C₇	1	8	yes	—
1458	C₄²	C₂⁴×C₇	1	8	yes	—
1459	C₄²	C₂⁴×C₇	1	8	yes	—
1460	C₂×C₇	—	2	2	no	—
1461	C₂×C₇	—	2	2	no	—
1462	C₂×C₇	—	4	4	no	—
1463	C₂×C₇	—	4	1	no	—
1464	C₂×C₇	—	4	4	no	—
1465	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1466	C₂×C₇	C₂×#585	1	1	yes	characteristic
1467	C₂×C₇	C₂×#585	1	1	yes	characteristic
1468	C₂³	—	2	2	no	—
1469	C₂³	—	2	2	no	—
1470	C₂³	—	2	4	no	—
1471	C₂³	—	4	1	no	—
1472	C₂³	—	4	2	no	—
1473	C₂³	—	4	2	no	—
1474	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1475	C₂³	C₂⁵×C₇	1	4	yes	—
1476	C₂³	C₂⁵×C₇	1	4	yes	—
1477	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1478	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1479	Q₈	—	2	4	no	—
1480	Q₈	—	2	4	no	—
1481	Q₈	—	2	8	no	—
1482	Q₈	—	4	2	no	—
1483	Q₈	—	4	4	no	—
1484	Q₈	—	4	4	no	—
1485	Q₈	—	4	8	no	—
1486	Q₈	—	4	4	no	—
1487	Q₈	—	4	2	no	—
1488	Q₈	—	4	2	no	—
1489	Q₈	—	4	8	no	—
1490	D₄	—	2	8	no	—
1491	D₄	—	2	8	no	—
1492	D₄	—	2	8	no	—
1493	D₄	—	2	4	no	—
1494	D₄	—	2	4	no	—
1495	D₄	—	4	2	no	—
1496	D₄	—	4	4	no	—
1497	D₄	—	4	2	no	—
1498	D₄	—	4	2	no	—
1499	D₄	—	4	4	no	—
1500	D₄	—	4	8	no	—
1501	D₄	—	4	8	no	—
1502	C₂×C₄	—	2	2	no	—
1503	C₂×C₄	—	2	4	no	—
1504	C₂×C₄	—	2	2	no	—
1505	C₂×C₄	—	2	2	no	—
1506	C₂×C₄	—	2	8	no	—
1507	C₂×C₄	—	2	2	no	—
1508	C₂×C₄	—	2	2	no	—
1509	C₂×C₄	—	2	8	no	—
1510	C₂×C₄	—	2	2	no	—
1511	C₂×C₄	—	2	2	no	—
1512	C₂×C₄	—	2	8	no	—
1513	C₂×C₄	—	2	8	no	—
1514	C₂×C₄	—	2	2	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	8	no	—
1518	C₂×C₄	—	4	1	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	2	no	—
1526	C₂×C₄	—	4	4	no	—
1527	C₂×C₄	—	4	8	no	—
1528	C₂×C₄	—	4	2	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	8	no	—
1531	C₂×C₄	—	4	8	no	—
1532	C₂×C₄	—	4	8	no	—
1533	C₂×C₄	C₇×2₋¹⁺⁴	1	4	yes	—
1534	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1535	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1536	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1537	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1538	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1539	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1540	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1541	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1542	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1543	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1544	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1545	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1546	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1547	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1548	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1549	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1550	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1551	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1552	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1553	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1554	C₇	#62752	1	1	yes	characteristic, direct product factor, Sylow
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×C₇×2₋¹⁺⁴	1	2	yes	—
1571	C₂²	C₇×#585	1	2	yes	—
1572	C₂²	C₂⁶×C₇	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×C₇×2₋¹⁺⁴	1	2	yes	—
1591	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1592	C₄	C₇×#585	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×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1599	C₂	C₂×C₇×#585	1	1	yes	characteristic
1600	C₂	C₂×C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
socle	C₂²×C₇	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×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×#3564	C₂	semidirect
3. C₇×#3563	C₂	semidirect
4. C₇×#3563	C₂	semidirect
5. C₇×#3561	C₂	semidirect
6. C₇×#3559	C₂	semidirect
7. C₇×#3555	C₂	semidirect
8. C₇×#3552	C₂	semidirect
9. C₇×#3547	C₂	semidirect
10. C₇×#3544	C₂	semidirect
11. C₇×#3538	C₂	semidirect
12. C₇×#3536	C₂	semidirect
13. C₇×#3535	C₂	semidirect
14. C₇×#3531	C₂	semidirect
15. C₇×#3482	C₂	semidirect
16. C₇×Q₈×#41	C₂	semidirect
17. C₇×#3475	C₂	semidirect
18. C₇×#3475	C₂	semidirect
19. C₇×#3461	C₂	semidirect
20. C₇×#3461	C₂	semidirect
21. C₇×#3458	C₂	semidirect
22. C₇×#3455	C₂	semidirect
23. C₇×#3444	C₂	semidirect
24. C₂×C₇×#533	C₂	semidirect
25. C₂×C₇×#529	C₂	semidirect
26. C₇×#564	C₂²	semidirect
27. C₇×#563	C₂²	semidirect
28. C₇×#563	C₂²	semidirect
29. C₇×#563	C₂²	semidirect
30. C₇×#563	C₂²	semidirect
31. C₇×#563	C₂²	semidirect
32. C₇×#563	C₂²	semidirect
34. C₇×#562	C₂²	semidirect
35. C₇×#562	C₂²	semidirect
36. C₇×Q₈²	C₂²	semidirect
37. C₇×#557	C₂²	semidirect
38. C₇×#557	C₂²	semidirect
39. C₇×#557	C₂²	semidirect
40. C₇×#556	C₂²	semidirect
41. C₇×#556	C₂²	semidirect
42. C₇×#556	C₂²	semidirect
43. C₇×#556	C₂²	semidirect
44. C₇×#555	C₂²	semidirect
45. C₇×#555	C₂²	semidirect
48. C₇×#554	C₂²	semidirect
49. C₇×#554	C₂²	semidirect
50. C₇×#554	C₂²	semidirect
51. C₇×#554	C₂²	semidirect
52. C₇×#553	C₂²	semidirect
53. C₇×#553	C₂²	semidirect
54. C₇×#553	C₂²	semidirect
57. C₇×#552	C₂²	semidirect
58. C₇×#552	C₂²	semidirect
59. C₇×#552	C₂²	semidirect
60. C₇×#552	C₂²	semidirect
61. C₇×#552	C₂²	semidirect
62. C₇×#552	C₂²	semidirect
63. C₇×#552	C₂²	semidirect
68. C₇×D₄×Q₈	C₂²	semidirect
69. C₇×D₄×Q₈	C₂²	semidirect
71. C₇×#548	C₂²	semidirect
73. C₇×#547	C₂²	semidirect
74. C₇×#547	C₂²	semidirect
75. C₇×#547	C₂²	semidirect
80. C₇×#544	C₂²	semidirect
81. C₇×#544	C₂²	semidirect
82. C₇×#544	C₂²	semidirect
83. C₇×#544	C₂²	semidirect
84. C₇×#544	C₂²	semidirect
85. C₇×#544	C₂²	semidirect
89. C₇×#542	C₂²	semidirect
90. C₇×#542	C₂²	semidirect
91. C₇×#542	C₂²	semidirect
92. C₇×#542	C₂²	semidirect
93. C₇×#542	C₂²	semidirect
94. C₇×#542	C₂²	semidirect
95. C₇×#541	C₂²	semidirect
96. C₇×#541	C₂²	semidirect
97. C₇×#541	C₂²	semidirect
98. C₇×#541	C₂²	semidirect
99. C₇×#541	C₂²	semidirect
100. C₇×#541	C₂²	semidirect
101. C₇×#540	C₂²	semidirect
105. C₇×#539	C₂²	semidirect
106. C₇×#539	C₂²	semidirect
107. C₇×#539	C₂²	semidirect
108. C₇×#539	C₂²	semidirect
113. C₇×#536	C₂²	semidirect
114. C₇×#536	C₂²	semidirect
115. C₇×#536	C₂²	semidirect
122. C₇×#533	C₂²	semidirect
123. C₇×#533	C₂²	semidirect
124. C₇×#533	C₂²	semidirect
125. C₇×#533	C₂²	semidirect
126. C₇×#533	C₂²	semidirect
127. C₇×#533	C₂²	semidirect
128. C₇×#533	C₂²	semidirect
129. C₇×#533	C₂²	semidirect
130. C₇×#533	C₂²	semidirect
131. C₇×#533	C₂²	semidirect
133. C₇×#532	C₂²	semidirect
134. C₇×#532	C₂²	semidirect
135. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
136. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
147. C₇×#529	C₂²	semidirect
148. C₇×#529	C₂²	semidirect
149. C₇×#529	C₂²	semidirect
150. C₇×#529	C₂²	semidirect
151. C₇×#529	C₂²	semidirect
152. C₇×#529	C₂²	semidirect
153. C₇×#529	C₂²	semidirect
154. C₇×#529	C₂²	semidirect
155. C₇×#529	C₂²	semidirect
156. C₇×#529	C₂²	semidirect
157. C₇×#529	C₂²	semidirect
160. C₂×C₇×#125	C₂²	semidirect
173. C₄×C₇×#41	C₂²	semidirect
174. C₄×C₇×#41	C₂²	semidirect
175. C₄×C₇×#41	C₂²	semidirect
176. C₄×C₇×#41	C₂²	semidirect
178. C₂×C₄×C₇×Q₈	C₂²	semidirect
179. C₂×C₄×C₇×Q₈	C₂²	semidirect
180. C₂×C₄×C₇×Q₈	C₂²	semidirect
187. #62752	C₇	direct (N × H)
493. #3565	C₂×C₇	semidirect
494. #3564	C₂×C₇	semidirect
495. #3563	C₂×C₇	semidirect
496. #3563	C₂×C₇	semidirect
497. #3561	C₂×C₇	semidirect
498. #3559	C₂×C₇	semidirect
499. #3555	C₂×C₇	semidirect
500. #3552	C₂×C₇	semidirect
501. #3547	C₂×C₇	semidirect
502. #3544	C₂×C₇	semidirect
503. #3538	C₂×C₇	semidirect
504. #3536	C₂×C₇	semidirect
505. #3535	C₂×C₇	semidirect
506. #3531	C₂×C₇	semidirect
507. #3482	C₂×C₇	semidirect
508. Q₈×#41	C₂×C₇	semidirect
509. #3475	C₂×C₇	semidirect
510. #3475	C₂×C₇	semidirect
511. #3461	C₂×C₇	semidirect
512. #3461	C₂×C₇	semidirect
513. #3458	C₂×C₇	semidirect
514. #3455	C₂×C₇	semidirect
515. #3444	C₂×C₇	semidirect
516. C₂×#533	C₂×C₇	semidirect
517. C₂×#529	C₂×C₇	semidirect
694. #564	C₂²×C₇	semidirect
695. #563	C₂²×C₇	semidirect
696. #563	C₂²×C₇	semidirect
697. #563	C₂²×C₇	semidirect
698. #563	C₂²×C₇	semidirect
699. #563	C₂²×C₇	semidirect
700. #563	C₂²×C₇	semidirect
702. #562	C₂²×C₇	semidirect
703. #562	C₂²×C₇	semidirect
704. Q₈²	C₂²×C₇	semidirect
705. #557	C₂²×C₇	semidirect
706. #557	C₂²×C₇	semidirect
707. #557	C₂²×C₇	semidirect
708. #556	C₂²×C₇	semidirect
709. #556	C₂²×C₇	semidirect
710. #556	C₂²×C₇	semidirect
711. #556	C₂²×C₇	semidirect
712. #555	C₂²×C₇	semidirect
713. #555	C₂²×C₇	semidirect
716. #554	C₂²×C₇	semidirect
717. #554	C₂²×C₇	semidirect
718. #554	C₂²×C₇	semidirect
719. #554	C₂²×C₇	semidirect
720. #553	C₂²×C₇	semidirect
721. #553	C₂²×C₇	semidirect
722. #553	C₂²×C₇	semidirect
725. #552	C₂²×C₇	semidirect
726. #552	C₂²×C₇	semidirect
727. #552	C₂²×C₇	semidirect
728. #552	C₂²×C₇	semidirect
729. #552	C₂²×C₇	semidirect
730. #552	C₂²×C₇	semidirect
731. #552	C₂²×C₇	semidirect
736. D₄×Q₈	C₂²×C₇	semidirect
737. D₄×Q₈	C₂²×C₇	semidirect
739. #548	C₂²×C₇	semidirect
741. #547	C₂²×C₇	semidirect
742. #547	C₂²×C₇	semidirect
743. #547	C₂²×C₇	semidirect
748. #544	C₂²×C₇	semidirect
749. #544	C₂²×C₇	semidirect
750. #544	C₂²×C₇	semidirect
751. #544	C₂²×C₇	semidirect
752. #544	C₂²×C₇	semidirect
753. #544	C₂²×C₇	semidirect
757. #542	C₂²×C₇	semidirect
758. #542	C₂²×C₇	semidirect
759. #542	C₂²×C₇	semidirect
760. #542	C₂²×C₇	semidirect
761. #542	C₂²×C₇	semidirect
762. #542	C₂²×C₇	semidirect
763. #541	C₂²×C₇	semidirect
764. #541	C₂²×C₇	semidirect
765. #541	C₂²×C₇	semidirect
766. #541	C₂²×C₇	semidirect
767. #541	C₂²×C₇	semidirect
768. #541	C₂²×C₇	semidirect
769. #540	C₂²×C₇	semidirect
773. #539	C₂²×C₇	semidirect
774. #539	C₂²×C₇	semidirect
775. #539	C₂²×C₇	semidirect
776. #539	C₂²×C₇	semidirect
781. #536	C₂²×C₇	semidirect
782. #536	C₂²×C₇	semidirect
783. #536	C₂²×C₇	semidirect
790. #533	C₂²×C₇	semidirect
791. #533	C₂²×C₇	semidirect
792. #533	C₂²×C₇	semidirect
793. #533	C₂²×C₇	semidirect
794. #533	C₂²×C₇	semidirect
795. #533	C₂²×C₇	semidirect
796. #533	C₂²×C₇	semidirect
797. #533	C₂²×C₇	semidirect
798. #533	C₂²×C₇	semidirect
799. #533	C₂²×C₇	semidirect
801. #532	C₂²×C₇	semidirect
802. #532	C₂²×C₇	semidirect
803. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
804. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
815. #529	C₂²×C₇	semidirect
816. #529	C₂²×C₇	semidirect
817. #529	C₂²×C₇	semidirect
818. #529	C₂²×C₇	semidirect
819. #529	C₂²×C₇	semidirect
820. #529	C₂²×C₇	semidirect
821. #529	C₂²×C₇	semidirect
822. #529	C₂²×C₇	semidirect
823. #529	C₂²×C₇	semidirect
824. #529	C₂²×C₇	semidirect
825. #529	C₂²×C₇	semidirect
828. C₂×#125	C₂²×C₇	semidirect
841. C₄×#41	C₂²×C₇	semidirect
842. C₄×#41	C₂²×C₇	semidirect
843. C₄×#41	C₂²×C₇	semidirect
844. C₄×#41	C₂²×C₇	semidirect
846. C₂×C₄×Q₈	C₂²×C₇	semidirect
847. C₂×C₄×Q₈	C₂²×C₇	semidirect
848. C₂×C₄×Q₈	C₂²×C₇	semidirect
1554. C₇	#62752	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×#3563	2
C₇×#3561	2
C₇×#3559	2
C₇×#3555	2
C₇×#3552	2
C₇×#3547	2
C₇×#3544	2
C₇×#3538	2
C₇×#3536	2
C₇×#3535	2
C₇×#3531	2
C₇×#3482	2
C₇×Q₈×#41	2
C₇×#3475	2
C₇×#3461	2
C₇×#3458	2
C₇×#3455	2
C₇×#3444	2
C₂×C₇×#533	2
C₂×C₇×#529	2
#62752	7

Subgroups — C7×#62752 #13239968

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62752 #13239968