Subgroups — C₇×#60991 #13238207

Order 1792.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3509	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3460	C₂	1	1	yes	maximal, characteristic
3	C₇×#3254	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3248	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3242	C₂	1	2	yes	maximal, complemented
8	C₇×#3235	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3233	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3222	C₂	1	2	yes	maximal, complemented
11	C₇×#3218	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3206	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3201	C₂	1	2	yes	maximal, complemented
14	C₇×#3200	C₂	1	2	yes	maximal, complemented
15	C₇×#3178	C₂	1	2	yes	maximal, complemented
16	C₇×#3174	C₂	1	2	yes	maximal, complemented
17	C₇×#3126	C₂	1	2	yes	maximal, complemented
18	C₇×#3121	C₂	1	2	yes	maximal, complemented
19	C₇×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3110	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3107	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3101	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#557	—	2	1	no	—
25	C₇×#557	—	2	1	no	—
26	C₇×#556	—	2	1	no	—
27	C₇×#556	—	2	1	no	—
28	C₇×#552	—	2	1	no	—
29	C₇×#552	—	2	1	no	—
30	C₇×#552	—	2	1	no	—
31	C₇×#552	—	2	1	no	—
32	C₇×#544	C₂²	1	1	yes	characteristic
33	C₇×#542	—	2	1	no	—
34	C₇×#542	C₂²	1	1	yes	characteristic
35	C₇×#542	C₂²	1	1	yes	characteristic
36	C₇×#541	C₂²	1	2	yes	—
37	C₇×#541	C₂²	1	2	yes	complemented
38	C₇×#540	—	2	1	no	—
39	C₇×#540	C₂²	1	1	yes	characteristic
40	C₇×#540	C₂²	1	1	yes	characteristic
41	C₇×#538	—	2	1	no	—
42	C₇×#538	—	2	1	no	—
43	C₇×#537	C₂²	1	1	yes	characteristic
44	C₇×#536	C₂²	1	2	yes	—
45	C₇×#535	C₂²	1	1	yes	characteristic
46	C₇×#535	C₂²	1	1	yes	characteristic
47	C₇×#533	C₂²	1	1	yes	characteristic
48	C₇×#533	C₂²	1	1	yes	characteristic
49	C₇×#533	C₂²	1	1	yes	characteristic, complemented
50	C₇×#533	C₂²	1	1	yes	characteristic, complemented
51	C₇×#533	C₂²	1	1	yes	characteristic, complemented
52	C₇×#532	—	2	1	no	—
53	C₇×#532	C₂²	1	1	yes	characteristic
54	C₇×#532	C₂²	1	1	yes	characteristic
55	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₇×#529	—	2	1	no	—
57	C₇×#529	C₂²	1	1	yes	characteristic
58	C₇×#529	C₂²	1	1	yes	characteristic
59	C₇×#525	—	2	1	no	—
60	C₇×#525	—	2	1	no	—
61	C₇×#519	C₂²	1	2	yes	complemented
62	C₄×C₇×#41	C₂²	1	1	yes	characteristic
63	C₄×C₇×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
65	C₇×#501	C₂²	1	2	yes	complemented
66	C₇×#499	C₂²	1	2	yes	complemented
67	C₇×#497	C₂²	1	2	yes	—
68	C₇×#492	C₂²	1	2	yes	—
69	C₇×#491	C₂²	1	2	yes	complemented
70	C₇×#490	C₂²	1	2	yes	—
71	C₇×#488	C₂²	1	2	yes	—
72	C₇×#487	C₂²	1	2	yes	complemented
73	C₇×#485	C₂²	1	2	yes	—
74	C₇×#485	C₂²	1	2	yes	—
75	C₇×#485	C₂²	1	2	yes	complemented
76	C₇×#484	C₂²	1	2	yes	—
77	C₇×#483	C₂²	1	2	yes	—
78	C₇×#482	C₂²	1	2	yes	—
79	C₇×#482	C₂²	1	2	yes	—
80	C₇×#482	C₂²	1	2	yes	complemented
81	C₇×#479	C₂²	1	2	yes	complemented
82	C₇×#479	C₂²	1	2	yes	complemented
83	C₇×#477	C₂²	1	1	yes	characteristic, complemented
84	C₇×#477	C₂²	1	2	yes	complemented
85	C₇×#476	C₂²	1	1	yes	characteristic
86	C₇×#476	C₂²	1	1	yes	characteristic
87	C₇×#476	C₂²	1	1	yes	characteristic, complemented
88	C₇×#475	C₂²	1	1	yes	characteristic, complemented
89	C₇×#475	C₂²	1	2	yes	complemented
90	C₇×#474	C₂²	1	1	yes	characteristic
91	C₇×#474	C₂²	1	1	yes	characteristic
92	C₇×#474	C₂²	1	1	yes	characteristic, complemented
93	C₇×#470	C₂²	1	2	yes	complemented
94	C₇×#468	C₂²	1	2	yes	—
95	C₇×#468	C₂²	1	2	yes	—
96	C₇×#468	C₂²	1	2	yes	complemented
97	C₇×#467	C₂²	1	2	yes	complemented
98	C₇×#465	C₂²	1	2	yes	—
99	C₇×#465	C₂²	1	2	yes	—
100	C₇×#465	C₂²	1	2	yes	complemented
101	C₇×#464	C₂²	1	2	yes	—
102	C₇×#464	C₂²	1	2	yes	—
103	C₇×#462	C₂²	1	1	yes	characteristic, complemented
104	C₇×#462	C₂²	1	1	yes	characteristic, complemented
105	C₇×#461	C₂²	1	1	yes	characteristic
106	C₇×#461	C₂²	1	1	yes	characteristic
107	C₇×#461	C₂²	1	1	yes	characteristic
108	C₇×#461	C₂²	1	1	yes	characteristic
109	C₇×#461	C₂²	1	1	yes	characteristic, complemented
110	C₇×#461	C₂²	1	1	yes	characteristic, complemented
111	C₇×#460	C₂²	1	2	yes	—
112	C₇×#460	C₂²	1	2	yes	—
113	C₇×#452	C₂²	1	2	yes	—
114	C₇×#452	C₂²	1	2	yes	—
115	C₇×#451	C₂²	1	2	yes	complemented
116	C₇×#450	C₂²	1	2	yes	—
117	C₇×#450	C₂²	1	2	yes	—
118	C₇×#448	C₂²	1	2	yes	—
119	C₇×#448	C₂²	1	2	yes	—
120	C₇×#448	C₂²	1	2	yes	complemented
121	C₇×#441	C₂²	1	2	yes	complemented
122	C₇×#440	C₂²	1	2	yes	—
123	C₇×#440	C₂²	1	2	yes	—
124	C₇×#440	C₂²	1	2	yes	complemented
125	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
126	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
127	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
128	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
129	C₇×#433	C₂²	1	2	yes	—
130	C₇×#433	C₂²	1	2	yes	complemented
131	C₇×#432	C₂²	1	1	yes	characteristic
132	C₇×#432	C₂²	1	1	yes	characteristic, complemented
133	C₇×#431	C₂²	1	1	yes	characteristic
134	C₇×#431	C₂²	1	1	yes	characteristic, complemented
135	C₇×#423	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	C₇×#408	C₂²	1	2	yes	—
138	C₇×#405	C₂²	1	2	yes	complemented
139	#60991	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
140	C₂×C₇×#41	—	2	1	no	—
141	C₂×C₇×#41	—	2	1	no	—
142	C₂×C₇×#41	C₂³	1	1	yes	characteristic
143	C₂×C₇×#41	C₂³	1	1	yes	characteristic
144	C₂²×C₇×Q₈	C₂³	1	2	yes	—
145	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₇	—	2	1	no	—
147	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₇×M₁₆	C₂³	1	2	yes	—
156	C₂²×C₇×C₈	C₂³	1	2	yes	—
157	C₇×C₄⋊Q₈	—	2	2	no	—
158	C₇×C₄⋊Q₈	—	2	1	no	—
159	C₇×C₄⋊Q₈	—	2	1	no	—
160	C₇×C₄⋊Q₈	—	2	1	no	—
161	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₇×#127	—	2	1	no	—
169	C₇×#127	C₂³	1	1	yes	characteristic
170	C₇×#127	C₂³	1	1	yes	characteristic
171	C₇×#126	—	2	1	no	—
172	C₇×#126	—	2	1	no	—
173	C₇×#126	—	2	2	no	—
174	C₇×#126	—	2	2	no	—
175	C₇×#126	—	2	2	no	—
176	C₇×#126	—	2	2	no	—
177	C₇×#126	—	2	1	no	—
178	C₇×#126	—	2	1	no	—
179	C₇×#125	—	2	1	no	—
180	C₇×#125	—	2	2	no	—
181	C₇×#125	—	2	2	no	—
182	C₇×#125	—	2	2	no	—
183	C₇×#125	—	2	2	no	—
184	C₇×#125	—	2	1	no	—
185	C₇×#125	—	2	1	no	—
186	C₇×#125	—	2	1	no	—
187	C₇×#125	—	2	1	no	—
188	C₇×#125	C₂³	1	1	yes	characteristic
189	C₇×#125	C₂³	1	2	yes	—
190	C₇×#125	C₂³	1	1	yes	characteristic
191	C₇×#124	—	2	1	no	—
192	C₇×#124	—	2	2	no	—
193	C₇×#124	—	2	1	no	—
194	C₇×#124	—	2	1	no	—
195	C₇×#124	—	2	1	no	—
196	C₇×#124	—	2	1	no	—
197	C₇×#124	C₂³	1	1	yes	characteristic
198	C₇×#124	C₂³	1	1	yes	characteristic
199	C₇×#123	—	2	2	no	—
200	C₇×#123	—	2	2	no	—
201	C₇×#123	—	2	1	no	—
202	C₇×#123	—	2	1	no	—
203	C₇×#123	—	2	1	no	—
204	C₇×#123	—	2	1	no	—
205	C₇×#123	—	2	1	no	—
206	C₇×#123	—	2	1	no	—
207	C₇×#123	—	2	1	no	—
208	C₇×#123	—	2	1	no	—
209	C₇×C₂²⋊Q₈	—	2	1	no	—
210	C₇×C₂²⋊Q₈	—	2	1	no	—
211	C₇×C₂²⋊Q₈	—	2	1	no	—
212	C₇×C₂²⋊Q₈	—	2	1	no	—
213	C₇×C₂²⋊Q₈	—	2	1	no	—
214	C₇×C₂²⋊Q₈	—	2	1	no	—
215	C₇×C₂²⋊Q₈	—	2	1	no	—
216	C₇×C₂²⋊Q₈	—	2	1	no	—
217	C₇×C₂²⋊Q₈	—	2	1	no	—
218	C₇×C₂²⋊Q₈	—	2	1	no	—
219	C₇×C₂²⋊Q₈	—	2	1	no	—
220	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₇×#121	—	2	1	no	—
227	C₇×#121	—	2	1	no	—
228	C₇×#121	—	2	1	no	—
229	C₇×#121	—	2	1	no	—
230	C₇×#121	—	2	1	no	—
231	C₇×#121	—	2	1	no	—
232	C₇×#121	—	2	1	no	—
233	C₇×#121	—	2	1	no	—
234	C₇×#121	—	2	1	no	—
235	C₇×#121	—	2	1	no	—
236	C₇×#121	—	2	1	no	—
237	C₇×#121	C₂³	1	1	yes	characteristic
238	C₇×#121	C₂³	1	1	yes	characteristic
239	C₇×#121	C₂³	1	1	yes	characteristic
240	C₇×#121	C₂³	1	1	yes	characteristic
241	C₇×#121	C₂³	1	1	yes	characteristic
242	C₇×#121	C₂³	1	1	yes	characteristic
243	C₇×#120	—	2	1	no	—
244	C₇×#120	—	2	1	no	—
245	C₇×#120	—	2	1	no	—
246	C₇×#120	—	2	1	no	—
247	C₄×C₇×Q₈	—	2	2	no	—
248	C₄×C₇×Q₈	—	2	2	no	—
249	C₄×C₇×Q₈	—	2	1	no	—
250	C₄×C₇×Q₈	—	2	1	no	—
251	C₄×C₇×Q₈	—	2	1	no	—
252	C₄×C₇×Q₈	—	2	1	no	—
253	C₄×C₇×Q₈	—	2	1	no	—
254	C₄×C₇×Q₈	—	2	1	no	—
255	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
256	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
257	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
258	C₄×C₇×Q₈	C₂³	1	2	yes	—
259	C₄×C₇×Q₈	C₂³	1	2	yes	—
260	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
261	C₄×C₇×Q₈	C₂³	1	2	yes	—
262	C₄×C₇×Q₈	C₂³	1	2	yes	—
263	C₄×C₇×D₄	—	2	1	no	—
264	C₄×C₇×D₄	—	2	1	no	—
265	C₄×C₇×D₄	—	2	1	no	—
266	C₄×C₇×D₄	—	2	1	no	—
267	C₄×C₇×D₄	—	2	1	no	—
268	C₄×C₇×D₄	—	2	1	no	—
269	C₄×C₇×D₄	—	2	1	no	—
270	C₄×C₇×D₄	—	2	1	no	—
271	C₄×C₇×D₄	D₄	1	1	yes	characteristic
272	C₄×C₇×D₄	D₄	1	1	yes	characteristic
273	C₄×C₇×D₄	D₄	1	1	yes	characteristic
274	C₄×C₇×D₄	D₄	1	1	yes	characteristic
275	C₄×C₇×D₄	D₄	1	1	yes	characteristic
276	C₄×C₇×D₄	D₄	1	1	yes	characteristic
277	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
278	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
279	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
280	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
281	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
282	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
283	C₇×#117	—	2	1	no	—
284	C₇×#117	—	2	1	no	—
285	C₇×#117	—	2	1	no	—
286	C₇×#117	—	2	1	no	—
287	C₇×#117	—	2	2	no	—
288	C₇×#117	—	2	2	no	—
289	C₇×#117	—	2	1	no	—
290	C₇×#117	—	2	1	no	—
291	C₇×#117	—	2	1	no	—
292	C₇×#117	C₂³	1	2	yes	—
293	C₇×#117	C₂³	1	1	yes	characteristic
294	C₇×#117	C₂³	1	1	yes	characteristic
295	C₇×#117	C₂³	1	1	yes	characteristic
296	C₇×#117	C₂³	1	1	yes	characteristic
297	C₂×C₇×C₄⋊C₄	—	2	1	no	—
298	C₂×C₇×C₄⋊C₄	—	2	1	no	—
299	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
301	C₂×C₄²×C₇	—	2	1	no	—
302	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
305	C₇×#107	C₂³	1	2	yes	—
306	C₇×#107	C₂³	1	2	yes	—
307	C₇×#107	C₂³	1	2	yes	—
308	C₇×#107	C₂³	1	2	yes	—
309	C₇×#106	C₂³	1	2	yes	—
310	C₇×#106	C₂³	1	2	yes	—
311	C₇×#106	C₂³	1	2	yes	—
312	C₇×#106	C₂³	1	2	yes	—
313	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₇×C₄⋊C₈	C₂³	1	2	yes	—
318	C₇×C₄⋊C₈	C₂³	1	2	yes	—
319	C₇×#103	C₂³	1	2	yes	—
320	C₇×#103	C₂³	1	2	yes	—
321	C₇×#103	C₂³	1	2	yes	—
322	C₇×#103	C₂³	1	2	yes	—
323	C₇×#103	C₂³	1	2	yes	—
324	C₇×#103	C₂³	1	2	yes	—
325	C₇×#103	C₂³	1	2	yes	—
326	C₇×#103	C₂³	1	2	yes	—
327	C₇×#103	C₂³	1	2	yes	—
328	C₇×#103	C₂³	1	2	yes	—
329	C₇×#102	C₂³	1	2	yes	—
330	C₇×#102	C₂³	1	2	yes	—
331	C₇×#102	C₂³	1	2	yes	—
332	C₇×#102	C₂³	1	2	yes	—
333	C₇×#102	C₂³	1	2	yes	—
334	C₇×#102	C₂³	1	2	yes	—
335	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₇×#97	C₂³	1	2	yes	—
340	C₇×#97	C₂³	1	2	yes	—
341	C₄×C₇×C₈	C₂³	1	2	yes	—
342	C₄×C₇×C₈	C₂³	1	2	yes	—
343	#3509	C₂×C₇	1	1	yes	characteristic, complemented
344	#3460	C₂×C₇	1	1	yes	characteristic
345	#3254	C₂×C₇	1	1	yes	characteristic, complemented
346	#3252	C₂×C₇	1	1	yes	characteristic, complemented
347	#3248	C₂×C₇	1	1	yes	characteristic, complemented
348	#3246	C₂×C₇	1	1	yes	characteristic, complemented
349	#3242	C₂×C₇	1	2	yes	complemented
350	#3235	C₂×C₇	1	1	yes	characteristic, complemented
351	#3233	C₂×C₇	1	1	yes	characteristic, complemented
352	#3222	C₂×C₇	1	2	yes	complemented
353	#3218	C₂×C₇	1	1	yes	characteristic, complemented
354	#3206	C₂×C₇	1	1	yes	characteristic, complemented
355	#3201	C₂×C₇	1	2	yes	complemented
356	#3200	C₂×C₇	1	2	yes	complemented
357	#3178	C₂×C₇	1	2	yes	complemented
358	#3174	C₂×C₇	1	2	yes	complemented
359	#3126	C₂×C₇	1	2	yes	complemented
360	#3121	C₂×C₇	1	2	yes	complemented
361	#3116	C₂×C₇	1	1	yes	characteristic, complemented
362	#3110	C₂×C₇	1	1	yes	characteristic, complemented
363	#3107	C₂×C₇	1	1	yes	characteristic, complemented
364	#3101	C₂×C₇	1	1	yes	characteristic, complemented
365	#2925	C₂×C₇	1	1	yes	characteristic, complemented
366	C₂⁴×C₇	—	2	1	no	—
367	C₇×#41	—	4	1	no	—
368	C₇×#41	—	4	1	no	—
369	C₇×#41	—	4	1	no	—
370	C₇×#41	—	4	1	no	—
371	C₇×#41	—	8	2	no	—
372	C₇×#41	—	8	2	no	—
373	C₂×C₇×Q₈	—	2	1	no	—
374	C₂×C₇×Q₈	—	2	1	no	—
375	C₂×C₇×Q₈	—	2	2	no	—
376	C₂×C₇×Q₈	—	2	1	no	—
377	C₂×C₇×Q₈	—	2	1	no	—
378	C₂×C₇×Q₈	—	4	2	no	—
379	C₂×C₇×Q₈	—	4	2	no	—
380	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
381	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
382	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
383	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
384	C₂×C₇×D₄	—	2	1	no	—
385	C₂×C₇×D₄	—	2	1	no	—
386	C₂×C₇×D₄	—	2	1	no	—
387	C₂×C₇×D₄	—	2	1	no	—
388	C₂×C₇×D₄	—	2	1	no	—
389	C₂×C₇×D₄	—	2	1	no	—
390	C₂×C₇×D₄	—	2	1	no	—
391	C₂×C₇×D₄	—	2	1	no	—
392	C₂×C₇×D₄	—	2	1	no	—
393	C₂×C₇×D₄	—	2	1	no	—
394	C₂×C₇×D₄	—	2	1	no	—
395	C₂×C₇×D₄	—	2	1	no	—
396	C₂×C₇×D₄	—	4	1	no	—
397	C₂×C₇×D₄	—	4	1	no	—
398	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
399	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
400	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
401	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
402	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
403	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	—	2	2	no	—
405	C₂²×C₄×C₇	—	2	1	no	—
406	C₂²×C₄×C₇	—	2	1	no	—
407	C₂²×C₄×C₇	—	2	1	no	—
408	C₂²×C₄×C₇	—	2	1	no	—
409	C₂²×C₄×C₇	—	2	1	no	—
410	C₂²×C₄×C₇	—	2	1	no	—
411	C₂²×C₄×C₇	—	2	1	no	—
412	C₂²×C₄×C₇	—	2	1	no	—
413	C₂²×C₄×C₇	—	8	2	no	—
414	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
415	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
416	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
417	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
418	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
419	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
420	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
423	C₇×Q₁₆	—	4	2	no	—
424	C₇×Q₁₆	—	4	2	no	—
425	C₇×SD₁₆	—	4	2	no	—
426	C₇×SD₁₆	—	4	2	no	—
427	C₇×SD₁₆	—	4	2	no	—
428	C₇×SD₁₆	—	4	2	no	—
429	C₇×SD₁₆	—	4	2	no	—
430	C₇×SD₁₆	—	4	2	no	—
431	C₇×M₁₆	—	4	2	no	—
432	C₂×C₇×C₈	—	4	2	no	—
433	C₂×C₇×C₈	C₂⁴	1	2	yes	—
434	C₂×C₇×C₈	C₂⁴	1	2	yes	—
435	C₂×C₇×C₈	C₂⁴	1	2	yes	—
436	C₂×C₇×C₈	C₂⁴	1	2	yes	—
437	C₇×C₄⋊C₄	—	2	1	no	—
438	C₇×C₄⋊C₄	—	2	1	no	—
439	C₇×C₄⋊C₄	—	2	1	no	—
440	C₇×C₄⋊C₄	—	2	1	no	—
441	C₇×C₄⋊C₄	—	2	2	no	—
442	C₇×C₄⋊C₄	—	2	2	no	—
443	C₇×C₄⋊C₄	—	2	1	no	—
444	C₇×C₄⋊C₄	—	2	1	no	—
445	C₇×C₄⋊C₄	—	2	1	no	—
446	C₇×C₄⋊C₄	—	2	1	no	—
447	C₇×C₄⋊C₄	—	2	1	no	—
448	C₇×C₄⋊C₄	—	2	2	no	—
449	C₇×C₄⋊C₄	—	2	2	no	—
450	C₇×C₄⋊C₄	—	2	2	no	—
451	C₇×C₄⋊C₄	—	2	2	no	—
452	C₇×C₄⋊C₄	—	2	1	no	—
453	C₇×C₄⋊C₄	—	2	1	no	—
454	C₇×C₄⋊C₄	—	2	1	no	—
455	C₇×C₄⋊C₄	—	2	1	no	—
456	C₇×C₄⋊C₄	—	2	1	no	—
457	C₇×C₄⋊C₄	—	2	1	no	—
458	C₇×C₄⋊C₄	—	2	1	no	—
459	C₇×C₄⋊C₄	—	2	1	no	—
460	C₇×C₄⋊C₄	—	2	2	no	—
461	C₇×C₄⋊C₄	—	2	2	no	—
462	C₇×C₄⋊C₄	—	2	2	no	—
463	C₇×C₄⋊C₄	—	2	2	no	—
464	C₇×C₄⋊C₄	—	2	2	no	—
465	C₇×C₄⋊C₄	—	2	2	no	—
466	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
467	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
468	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
469	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
470	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
471	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
472	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
473	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
474	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
475	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
476	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
477	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
478	C₇×C₂²⋊C₄	—	2	2	no	—
479	C₇×C₂²⋊C₄	—	2	2	no	—
480	C₇×C₂²⋊C₄	—	2	2	no	—
481	C₇×C₂²⋊C₄	—	2	2	no	—
482	C₇×C₂²⋊C₄	—	2	2	no	—
483	C₇×C₂²⋊C₄	—	2	1	no	—
484	C₇×C₂²⋊C₄	—	2	1	no	—
485	C₇×C₂²⋊C₄	—	2	1	no	—
486	C₇×C₂²⋊C₄	—	2	1	no	—
487	C₇×C₂²⋊C₄	—	2	1	no	—
488	C₇×C₂²⋊C₄	—	2	1	no	—
489	C₇×C₂²⋊C₄	—	2	1	no	—
490	C₇×C₂²⋊C₄	—	2	1	no	—
491	C₇×C₂²⋊C₄	—	2	1	no	—
492	C₇×C₂²⋊C₄	—	2	1	no	—
493	C₇×C₂²⋊C₄	—	2	1	no	—
494	C₇×C₂²⋊C₄	—	2	1	no	—
495	C₇×C₂²⋊C₄	—	2	1	no	—
496	C₇×C₂²⋊C₄	—	2	1	no	—
497	C₇×C₂²⋊C₄	—	2	1	no	—
498	C₇×C₂²⋊C₄	—	2	1	no	—
499	C₇×C₂²⋊C₄	—	2	1	no	—
500	C₇×C₂²⋊C₄	—	2	1	no	—
501	C₇×C₂²⋊C₄	—	2	1	no	—
502	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
503	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
504	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
505	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
506	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
507	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
508	C₄²×C₇	—	2	1	no	—
509	C₄²×C₇	—	2	1	no	—
510	C₄²×C₇	—	2	1	no	—
511	C₄²×C₇	—	2	2	no	—
512	C₄²×C₇	—	2	2	no	—
513	C₄²×C₇	—	2	2	no	—
514	C₄²×C₇	—	2	2	no	—
515	C₄²×C₇	—	2	2	no	—
516	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
517	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
518	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
519	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
520	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
521	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
522	C₄²×C₇	C₂⁴	1	1	yes	characteristic
523	C₄²×C₇	C₂⁴	1	1	yes	characteristic
524	C₄²×C₇	C₂⁴	1	1	yes	characteristic
525	C₄²×C₇	C₂⁴	1	1	yes	characteristic
526	#557	—	2	1	no	—
527	#557	—	2	1	no	—
528	#556	—	2	1	no	—
529	#556	—	2	1	no	—
530	#552	—	2	1	no	—
531	#552	—	2	1	no	—
532	#552	—	2	1	no	—
533	#552	—	2	1	no	—
534	#544	C₂²×C₇	1	1	yes	characteristic
535	#542	—	2	1	no	—
536	#542	C₂²×C₇	1	1	yes	characteristic
537	#542	C₂²×C₇	1	1	yes	characteristic
538	#541	C₂²×C₇	1	2	yes	—
539	#541	C₂²×C₇	1	2	yes	complemented
540	#540	—	2	1	no	—
541	#540	C₂²×C₇	1	1	yes	characteristic
542	#540	C₂²×C₇	1	1	yes	characteristic
543	#538	—	2	1	no	—
544	#538	—	2	1	no	—
545	#537	C₂²×C₇	1	1	yes	characteristic
546	#536	C₂²×C₇	1	2	yes	—
547	#535	C₂²×C₇	1	1	yes	characteristic
548	#535	C₂²×C₇	1	1	yes	characteristic
549	#533	C₂²×C₇	1	1	yes	characteristic
550	#533	C₂²×C₇	1	1	yes	characteristic
551	#533	C₂²×C₇	1	1	yes	characteristic, complemented
552	#533	C₂²×C₇	1	1	yes	characteristic, complemented
553	#533	C₂²×C₇	1	1	yes	characteristic, complemented
554	#532	—	2	1	no	—
555	#532	C₂²×C₇	1	1	yes	characteristic
556	#532	C₂²×C₇	1	1	yes	characteristic
557	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
558	#529	—	2	1	no	—
559	#529	C₂²×C₇	1	1	yes	characteristic
560	#529	C₂²×C₇	1	1	yes	characteristic
561	#525	—	2	1	no	—
562	#525	—	2	1	no	—
563	#519	C₂²×C₇	1	2	yes	complemented
564	C₄×#41	C₂²×C₇	1	1	yes	characteristic
565	C₄×#41	C₂²×C₇	1	1	yes	characteristic
566	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
567	#501	C₂²×C₇	1	2	yes	complemented
568	#499	C₂²×C₇	1	2	yes	complemented
569	#497	C₂²×C₇	1	2	yes	—
570	#492	C₂²×C₇	1	2	yes	—
571	#491	C₂²×C₇	1	2	yes	complemented
572	#490	C₂²×C₇	1	2	yes	—
573	#488	C₂²×C₇	1	2	yes	—
574	#487	C₂²×C₇	1	2	yes	complemented
575	#485	C₂²×C₇	1	2	yes	—
576	#485	C₂²×C₇	1	2	yes	—
577	#485	C₂²×C₇	1	2	yes	complemented
578	#484	C₂²×C₇	1	2	yes	—
579	#483	C₂²×C₇	1	2	yes	—
580	#482	C₂²×C₇	1	2	yes	—
581	#482	C₂²×C₇	1	2	yes	—
582	#482	C₂²×C₇	1	2	yes	complemented
583	#479	C₂²×C₇	1	2	yes	complemented
584	#479	C₂²×C₇	1	2	yes	complemented
585	#477	C₂²×C₇	1	1	yes	characteristic, complemented
586	#477	C₂²×C₇	1	2	yes	complemented
587	#476	C₂²×C₇	1	1	yes	characteristic
588	#476	C₂²×C₇	1	1	yes	characteristic
589	#476	C₂²×C₇	1	1	yes	characteristic, complemented
590	#475	C₂²×C₇	1	1	yes	characteristic, complemented
591	#475	C₂²×C₇	1	2	yes	complemented
592	#474	C₂²×C₇	1	1	yes	characteristic
593	#474	C₂²×C₇	1	1	yes	characteristic
594	#474	C₂²×C₇	1	1	yes	characteristic, complemented
595	#470	C₂²×C₇	1	2	yes	complemented
596	#468	C₂²×C₇	1	2	yes	—
597	#468	C₂²×C₇	1	2	yes	—
598	#468	C₂²×C₇	1	2	yes	complemented
599	#467	C₂²×C₇	1	2	yes	complemented
600	#465	C₂²×C₇	1	2	yes	—
601	#465	C₂²×C₇	1	2	yes	—
602	#465	C₂²×C₇	1	2	yes	complemented
603	#464	C₂²×C₇	1	2	yes	—
604	#464	C₂²×C₇	1	2	yes	—
605	#462	C₂²×C₇	1	1	yes	characteristic, complemented
606	#462	C₂²×C₇	1	1	yes	characteristic, complemented
607	#461	C₂²×C₇	1	1	yes	characteristic
608	#461	C₂²×C₇	1	1	yes	characteristic
609	#461	C₂²×C₇	1	1	yes	characteristic
610	#461	C₂²×C₇	1	1	yes	characteristic
611	#461	C₂²×C₇	1	1	yes	characteristic, complemented
612	#461	C₂²×C₇	1	1	yes	characteristic, complemented
613	#460	C₂²×C₇	1	2	yes	—
614	#460	C₂²×C₇	1	2	yes	—
615	#452	C₂²×C₇	1	2	yes	—
616	#452	C₂²×C₇	1	2	yes	—
617	#451	C₂²×C₇	1	2	yes	complemented
618	#450	C₂²×C₇	1	2	yes	—
619	#450	C₂²×C₇	1	2	yes	—
620	#448	C₂²×C₇	1	2	yes	—
621	#448	C₂²×C₇	1	2	yes	—
622	#448	C₂²×C₇	1	2	yes	complemented
623	#441	C₂²×C₇	1	2	yes	complemented
624	#440	C₂²×C₇	1	2	yes	—
625	#440	C₂²×C₇	1	2	yes	—
626	#440	C₂²×C₇	1	2	yes	complemented
627	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
628	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
629	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
630	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
631	#433	C₂²×C₇	1	2	yes	—
632	#433	C₂²×C₇	1	2	yes	complemented
633	#432	C₂²×C₇	1	1	yes	characteristic
634	#432	C₂²×C₇	1	1	yes	characteristic, complemented
635	#431	C₂²×C₇	1	1	yes	characteristic
636	#431	C₂²×C₇	1	1	yes	characteristic, complemented
637	#423	C₂²×C₇	1	1	yes	characteristic, complemented
638	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
639	#408	C₂²×C₇	1	2	yes	—
640	#405	C₂²×C₇	1	2	yes	complemented
641	C₂³×C₇	—	2	1	no	—
642	C₂³×C₇	—	2	1	no	—
643	C₂³×C₇	—	2	1	no	—
644	C₂³×C₇	—	4	2	no	—
645	C₂³×C₇	—	8	1	no	—
646	C₂³×C₇	—	8	1	no	—
647	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
648	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
649	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
650	C₇×Q₈	—	2	2	no	—
651	C₇×Q₈	—	2	2	no	—
652	C₇×Q₈	—	2	2	no	—
653	C₇×Q₈	—	2	2	no	—
654	C₇×Q₈	—	2	1	no	—
655	C₇×Q₈	—	2	1	no	—
656	C₇×Q₈	—	4	1	no	—
657	C₇×Q₈	—	4	2	no	—
658	C₇×Q₈	—	4	4	no	—
659	C₇×Q₈	—	4	2	no	—
660	C₇×Q₈	—	8	1	no	—
661	C₇×Q₈	—	8	1	no	—
662	C₇×D₄	—	2	1	no	—
663	C₇×D₄	—	2	1	no	—
664	C₇×D₄	—	2	1	no	—
665	C₇×D₄	—	2	1	no	—
666	C₇×D₄	—	2	1	no	—
667	C₇×D₄	—	2	1	no	—
668	C₇×D₄	—	4	1	no	—
669	C₇×D₄	—	4	1	no	—
670	C₇×D₄	—	4	1	no	—
671	C₇×D₄	—	4	2	no	—
672	C₇×D₄	—	4	2	no	—
673	C₇×D₄	—	8	1	no	—
674	C₇×D₄	—	8	1	no	—
675	C₇×D₄	—	8	1	no	—
676	C₇×D₄	—	8	1	no	—
677	C₇×D₄	—	8	1	no	—
678	C₇×D₄	—	8	1	no	—
679	C₇×D₄	—	8	1	no	—
680	C₇×D₄	—	8	1	no	—
681	C₇×D₄	—	8	1	no	—
682	C₇×D₄	—	8	1	no	—
683	C₂×C₄×C₇	—	2	2	no	—
684	C₂×C₄×C₇	—	2	2	no	—
685	C₂×C₄×C₇	—	2	2	no	—
686	C₂×C₄×C₇	—	2	1	no	—
687	C₂×C₄×C₇	—	2	1	no	—
688	C₂×C₄×C₇	—	2	1	no	—
689	C₂×C₄×C₇	—	2	1	no	—
690	C₂×C₄×C₇	—	2	1	no	—
691	C₂×C₄×C₇	—	2	1	no	—
692	C₂×C₄×C₇	—	2	2	no	—
693	C₂×C₄×C₇	—	2	2	no	—
694	C₂×C₄×C₇	—	2	1	no	—
695	C₂×C₄×C₇	—	2	1	no	—
696	C₂×C₄×C₇	—	2	1	no	—
697	C₂×C₄×C₇	—	2	2	no	—
698	C₂×C₄×C₇	—	2	2	no	—
699	C₂×C₄×C₇	—	2	1	no	—
700	C₂×C₄×C₇	—	2	1	no	—
701	C₂×C₄×C₇	—	4	1	no	—
702	C₂×C₄×C₇	—	4	1	no	—
703	C₂×C₄×C₇	—	4	1	no	—
704	C₂×C₄×C₇	—	4	2	no	—
705	C₂×C₄×C₇	—	4	4	no	—
706	C₂×C₄×C₇	—	4	2	no	—
707	C₂×C₄×C₇	—	4	2	no	—
708	C₂×C₄×C₇	—	4	2	no	—
709	C₂×C₄×C₇	—	8	1	no	—
710	C₂×C₄×C₇	—	8	1	no	—
711	C₂×C₄×C₇	—	8	1	no	—
712	C₂×C₄×C₇	—	8	1	no	—
713	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
714	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
715	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
716	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
717	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
718	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
719	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
720	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
721	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
722	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
723	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
724	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
725	C₇×C₈	—	2	2	no	—
726	C₇×C₈	—	2	2	no	—
727	C₇×C₈	—	2	2	no	—
728	C₇×C₈	—	2	2	no	—
729	C₂×#41	—	2	1	no	—
730	C₂×#41	—	2	1	no	—
731	C₂×#41	C₂³×C₇	1	1	yes	characteristic
732	C₂×#41	C₂³×C₇	1	1	yes	characteristic
733	C₂²×Q₈	C₂³×C₇	1	2	yes	—
734	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
735	C₂³×C₄	—	2	1	no	—
736	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
737	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
738	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
739	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
740	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
741	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
742	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
743	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
744	C₂×M₁₆	C₂³×C₇	1	2	yes	—
745	C₂²×C₈	C₂³×C₇	1	2	yes	—
746	C₄⋊Q₈	—	2	2	no	—
747	C₄⋊Q₈	—	2	1	no	—
748	C₄⋊Q₈	—	2	1	no	—
749	C₄⋊Q₈	—	2	1	no	—
750	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
751	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
752	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
753	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
754	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
755	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
756	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
757	#127	—	2	1	no	—
758	#127	C₂³×C₇	1	1	yes	characteristic
759	#127	C₂³×C₇	1	1	yes	characteristic
760	#126	—	2	1	no	—
761	#126	—	2	1	no	—
762	#126	—	2	2	no	—
763	#126	—	2	2	no	—
764	#126	—	2	2	no	—
765	#126	—	2	2	no	—
766	#126	—	2	1	no	—
767	#126	—	2	1	no	—
768	#125	—	2	1	no	—
769	#125	—	2	2	no	—
770	#125	—	2	2	no	—
771	#125	—	2	2	no	—
772	#125	—	2	2	no	—
773	#125	—	2	1	no	—
774	#125	—	2	1	no	—
775	#125	—	2	1	no	—
776	#125	—	2	1	no	—
777	#125	C₂³×C₇	1	1	yes	characteristic
778	#125	C₂³×C₇	1	1	yes	characteristic
779	#125	C₂³×C₇	1	2	yes	—
780	#124	—	2	1	no	—
781	#124	—	2	2	no	—
782	#124	—	2	1	no	—
783	#124	—	2	1	no	—
784	#124	—	2	1	no	—
785	#124	—	2	1	no	—
786	#124	C₂³×C₇	1	1	yes	characteristic
787	#124	C₂³×C₇	1	1	yes	characteristic
788	#123	—	2	2	no	—
789	#123	—	2	2	no	—
790	#123	—	2	1	no	—
791	#123	—	2	1	no	—
792	#123	—	2	1	no	—
793	#123	—	2	1	no	—
794	#123	—	2	1	no	—
795	#123	—	2	1	no	—
796	#123	—	2	1	no	—
797	#123	—	2	1	no	—
798	C₂²⋊Q₈	—	2	1	no	—
799	C₂²⋊Q₈	—	2	1	no	—
800	C₂²⋊Q₈	—	2	1	no	—
801	C₂²⋊Q₈	—	2	1	no	—
802	C₂²⋊Q₈	—	2	1	no	—
803	C₂²⋊Q₈	—	2	1	no	—
804	C₂²⋊Q₈	—	2	1	no	—
805	C₂²⋊Q₈	—	2	1	no	—
806	C₂²⋊Q₈	—	2	1	no	—
807	C₂²⋊Q₈	—	2	1	no	—
808	C₂²⋊Q₈	—	2	1	no	—
809	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
810	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
811	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
812	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
813	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
814	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
815	#121	—	2	1	no	—
816	#121	—	2	1	no	—
817	#121	—	2	1	no	—
818	#121	—	2	1	no	—
819	#121	—	2	1	no	—
820	#121	—	2	1	no	—
821	#121	—	2	1	no	—
822	#121	—	2	1	no	—
823	#121	—	2	1	no	—
824	#121	—	2	1	no	—
825	#121	—	2	1	no	—
826	#121	C₂³×C₇	1	1	yes	characteristic
827	#121	C₂³×C₇	1	1	yes	characteristic
828	#121	C₂³×C₇	1	1	yes	characteristic
829	#121	C₂³×C₇	1	1	yes	characteristic
830	#121	C₂³×C₇	1	1	yes	characteristic
831	#121	C₂³×C₇	1	1	yes	characteristic
832	#120	—	2	1	no	—
833	#120	—	2	1	no	—
834	#120	—	2	1	no	—
835	#120	—	2	1	no	—
836	C₄×Q₈	—	2	2	no	—
837	C₄×Q₈	—	2	2	no	—
838	C₄×Q₈	—	2	1	no	—
839	C₄×Q₈	—	2	1	no	—
840	C₄×Q₈	—	2	1	no	—
841	C₄×Q₈	—	2	1	no	—
842	C₄×Q₈	—	2	1	no	—
843	C₄×Q₈	—	2	1	no	—
844	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
845	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
846	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
847	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
848	C₄×Q₈	C₂³×C₇	1	2	yes	—
849	C₄×Q₈	C₂³×C₇	1	2	yes	—
850	C₄×Q₈	C₂³×C₇	1	2	yes	—
851	C₄×Q₈	C₂³×C₇	1	2	yes	—
852	C₄×D₄	—	2	1	no	—
853	C₄×D₄	—	2	1	no	—
854	C₄×D₄	—	2	1	no	—
855	C₄×D₄	—	2	1	no	—
856	C₄×D₄	—	2	1	no	—
857	C₄×D₄	—	2	1	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	C₇×D₄	1	1	yes	characteristic
861	C₄×D₄	C₇×D₄	1	1	yes	characteristic
862	C₄×D₄	C₇×D₄	1	1	yes	characteristic
863	C₄×D₄	C₇×D₄	1	1	yes	characteristic
864	C₄×D₄	C₇×D₄	1	1	yes	characteristic
865	C₄×D₄	C₇×D₄	1	1	yes	characteristic
866	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
867	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
868	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
869	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
870	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
871	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
872	#117	—	2	1	no	—
873	#117	—	2	1	no	—
874	#117	—	2	1	no	—
875	#117	—	2	1	no	—
876	#117	—	2	2	no	—
877	#117	—	2	2	no	—
878	#117	—	2	1	no	—
879	#117	—	2	1	no	—
880	#117	—	2	1	no	—
881	#117	C₂³×C₇	1	1	yes	characteristic
882	#117	C₂³×C₇	1	2	yes	—
883	#117	C₂³×C₇	1	1	yes	characteristic
884	#117	C₂³×C₇	1	1	yes	characteristic
885	#117	C₂³×C₇	1	1	yes	characteristic
886	C₂×C₄⋊C₄	—	2	1	no	—
887	C₂×C₄⋊C₄	—	2	1	no	—
888	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	—	2	1	no	—
890	C₂×C₄²	—	2	1	no	—
891	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
892	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
893	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
894	#107	C₂³×C₇	1	2	yes	—
895	#107	C₂³×C₇	1	2	yes	—
896	#107	C₂³×C₇	1	2	yes	—
897	#107	C₂³×C₇	1	2	yes	—
898	#106	C₂³×C₇	1	2	yes	—
899	#106	C₂³×C₇	1	2	yes	—
900	#106	C₂³×C₇	1	2	yes	—
901	#106	C₂³×C₇	1	2	yes	—
902	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
903	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
904	C₄⋊C₈	C₂³×C₇	1	2	yes	—
905	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
906	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
907	C₄⋊C₈	C₂³×C₇	1	2	yes	—
908	#103	C₂³×C₇	1	2	yes	—
909	#103	C₂³×C₇	1	2	yes	—
910	#103	C₂³×C₇	1	2	yes	—
911	#103	C₂³×C₇	1	2	yes	—
912	#103	C₂³×C₇	1	2	yes	—
913	#103	C₂³×C₇	1	2	yes	—
914	#103	C₂³×C₇	1	2	yes	—
915	#103	C₂³×C₇	1	2	yes	—
916	#103	C₂³×C₇	1	2	yes	—
917	#103	C₂³×C₇	1	2	yes	—
918	#102	C₂³×C₇	1	2	yes	—
919	#102	C₂³×C₇	1	2	yes	—
920	#102	C₂³×C₇	1	2	yes	—
921	#102	C₂³×C₇	1	2	yes	—
922	#102	C₂³×C₇	1	2	yes	—
923	#102	C₂³×C₇	1	2	yes	—
924	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
925	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
926	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
927	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
928	#97	C₂³×C₇	1	2	yes	—
929	#97	C₂³×C₇	1	2	yes	—
930	C₄×C₈	C₂³×C₇	1	2	yes	—
931	C₄×C₈	C₂³×C₇	1	2	yes	—
932	C₂²×C₇	—	2	1	no	—
933	C₂²×C₇	—	2	1	no	—
934	C₂²×C₇	—	2	1	no	—
935	C₂²×C₇	—	2	1	no	—
936	C₂²×C₇	—	2	1	no	—
937	C₂²×C₇	—	2	1	no	—
938	C₂²×C₇	—	2	1	no	—
939	C₂²×C₇	—	2	1	no	—
940	C₂²×C₇	—	2	1	no	—
941	C₂²×C₇	—	4	1	no	—
942	C₂²×C₇	—	4	1	no	—
943	C₂²×C₇	—	4	1	no	—
944	C₂²×C₇	—	4	1	no	—
945	C₂²×C₇	—	4	1	no	—
946	C₂²×C₇	—	4	1	no	—
947	C₂²×C₇	—	4	1	no	—
948	C₂²×C₇	—	4	1	no	—
949	C₂²×C₇	—	4	1	no	—
950	C₂²×C₇	—	8	4	no	—
951	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
952	C₄×C₇	—	2	1	no	—
953	C₄×C₇	—	2	1	no	—
954	C₄×C₇	—	2	1	no	—
955	C₄×C₇	—	2	1	no	—
956	C₄×C₇	—	2	1	no	—
957	C₄×C₇	—	2	1	no	—
958	C₄×C₇	—	2	1	no	—
959	C₄×C₇	—	2	1	no	—
960	C₄×C₇	—	2	1	no	—
961	C₄×C₇	—	2	1	no	—
962	C₄×C₇	—	4	1	no	—
963	C₄×C₇	—	4	2	no	—
964	C₄×C₇	—	4	1	no	—
965	C₄×C₇	—	4	2	no	—
966	C₄×C₇	—	4	2	no	—
967	C₄×C₇	—	4	1	no	—
968	C₄×C₇	—	4	1	no	—
969	C₄×C₇	—	4	1	no	—
970	C₄×C₇	—	4	2	no	—
971	C₄×C₇	#577	1	2	yes	—
972	C₄×C₇	#585	1	1	yes	characteristic
973	C₄×C₇	#585	1	1	yes	characteristic
974	C₂⁴	—	2	1	no	—
975	#41	—	4	1	no	—
976	#41	—	4	1	no	—
977	#41	—	4	1	no	—
978	#41	—	4	1	no	—
979	#41	—	8	2	no	—
980	#41	—	8	2	no	—
981	C₂×Q₈	—	2	1	no	—
982	C₂×Q₈	—	2	1	no	—
983	C₂×Q₈	—	2	2	no	—
984	C₂×Q₈	—	2	1	no	—
985	C₂×Q₈	—	2	1	no	—
986	C₂×Q₈	—	4	2	no	—
987	C₂×Q₈	—	4	2	no	—
988	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
989	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
990	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
991	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	1	no	—
996	C₂×D₄	—	2	1	no	—
997	C₂×D₄	—	2	1	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	1	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	4	1	no	—
1005	C₂×D₄	—	4	1	no	—
1006	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1007	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1008	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1009	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1010	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1011	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	1	no	—
1014	C₂²×C₄	—	2	1	no	—
1015	C₂²×C₄	—	2	1	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	1	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	8	2	no	—
1022	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1023	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1024	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1025	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1026	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1027	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1028	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1029	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1030	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1031	Q₁₆	—	4	2	no	—
1032	Q₁₆	—	4	2	no	—
1033	SD₁₆	—	4	2	no	—
1034	SD₁₆	—	4	2	no	—
1035	SD₁₆	—	4	2	no	—
1036	SD₁₆	—	4	2	no	—
1037	SD₁₆	—	4	2	no	—
1038	SD₁₆	—	4	2	no	—
1039	M₁₆	—	4	2	no	—
1040	C₂×C₈	—	4	2	no	—
1041	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1042	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1043	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1044	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	1	no	—
1047	C₄⋊C₄	—	2	1	no	—
1048	C₄⋊C₄	—	2	1	no	—
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	1	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	1	no	—
1066	C₄⋊C₄	—	2	1	no	—
1067	C₄⋊C₄	—	2	1	no	—
1068	C₄⋊C₄	—	2	2	no	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1075	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1076	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1077	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1078	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1079	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1080	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1081	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1082	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1083	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1084	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1085	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1086	C₂²⋊C₄	—	2	2	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	2	2	no	—
1090	C₂²⋊C₄	—	2	2	no	—
1091	C₂²⋊C₄	—	2	1	no	—
1092	C₂²⋊C₄	—	2	1	no	—
1093	C₂²⋊C₄	—	2	1	no	—
1094	C₂²⋊C₄	—	2	1	no	—
1095	C₂²⋊C₄	—	2	1	no	—
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	1	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	1	no	—
1109	C₂²⋊C₄	—	2	1	no	—
1110	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1111	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1112	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1113	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1114	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1115	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1116	C₄²	—	2	1	no	—
1117	C₄²	—	2	1	no	—
1118	C₄²	—	2	1	no	—
1119	C₄²	—	2	2	no	—
1120	C₄²	—	2	2	no	—
1121	C₄²	—	2	2	no	—
1122	C₄²	—	2	2	no	—
1123	C₄²	—	2	2	no	—
1124	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1125	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1126	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1127	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1128	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1129	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1130	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1131	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1132	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1133	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1134	C₂×C₇	—	4	1	no	—
1135	C₂×C₇	—	4	1	no	—
1136	C₂×C₇	—	4	1	no	—
1137	C₂×C₇	—	8	1	no	—
1138	C₂×C₇	—	8	1	no	—
1139	C₂×C₇	—	8	1	no	—
1140	C₂×C₇	#3449	1	1	yes	characteristic
1141	C₂×C₇	C₂×#577	1	1	yes	characteristic
1142	C₂×C₇	#3586	1	1	yes	characteristic
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	4	2	no	—
1147	C₂³	—	8	1	no	—
1148	C₂³	—	8	1	no	—
1149	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1150	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1151	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1152	Q₈	—	2	2	no	—
1153	Q₈	—	2	2	no	—
1154	Q₈	—	2	2	no	—
1155	Q₈	—	2	2	no	—
1156	Q₈	—	2	1	no	—
1157	Q₈	—	2	1	no	—
1158	Q₈	—	4	1	no	—
1159	Q₈	—	4	2	no	—
1160	Q₈	—	4	4	no	—
1161	Q₈	—	4	2	no	—
1162	Q₈	—	8	1	no	—
1163	Q₈	—	8	1	no	—
1164	D₄	—	2	1	no	—
1165	D₄	—	2	1	no	—
1166	D₄	—	2	1	no	—
1167	D₄	—	2	1	no	—
1168	D₄	—	2	1	no	—
1169	D₄	—	2	1	no	—
1170	D₄	—	4	1	no	—
1171	D₄	—	4	1	no	—
1172	D₄	—	4	1	no	—
1173	D₄	—	4	2	no	—
1174	D₄	—	4	2	no	—
1175	D₄	—	8	1	no	—
1176	D₄	—	8	1	no	—
1177	D₄	—	8	1	no	—
1178	D₄	—	8	1	no	—
1179	D₄	—	8	1	no	—
1180	D₄	—	8	1	no	—
1181	D₄	—	8	1	no	—
1182	D₄	—	8	1	no	—
1183	D₄	—	8	1	no	—
1184	D₄	—	8	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	4	1	no	—
1204	C₂×C₄	—	4	1	no	—
1205	C₂×C₄	—	4	1	no	—
1206	C₂×C₄	—	4	2	no	—
1207	C₂×C₄	—	4	4	no	—
1208	C₂×C₄	—	4	2	no	—
1209	C₂×C₄	—	4	2	no	—
1210	C₂×C₄	—	4	2	no	—
1211	C₂×C₄	—	8	1	no	—
1212	C₂×C₄	—	8	1	no	—
1213	C₂×C₄	—	8	1	no	—
1214	C₂×C₄	—	8	1	no	—
1215	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1216	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1217	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1218	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1219	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1220	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1221	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1222	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1223	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1224	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1225	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1226	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1227	C₈	—	2	2	no	—
1228	C₈	—	2	2	no	—
1229	C₈	—	2	2	no	—
1230	C₈	—	2	2	no	—
1231	C₇	#60991	1	1	yes	characteristic, direct product factor, Sylow
1232	C₂²	—	2	1	no	—
1233	C₂²	—	2	1	no	—
1234	C₂²	—	2	1	no	—
1235	C₂²	—	2	1	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	1	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	4	1	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	8	4	no	—
1251	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1252	C₄	—	2	1	no	—
1253	C₄	—	2	1	no	—
1254	C₄	—	2	1	no	—
1255	C₄	—	2	1	no	—
1256	C₄	—	2	1	no	—
1257	C₄	—	2	1	no	—
1258	C₄	—	2	1	no	—
1259	C₄	—	2	1	no	—
1260	C₄	—	2	1	no	—
1261	C₄	—	2	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	2	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	2	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	2	no	—
1270	C₄	—	4	2	no	—
1271	C₄	C₇×#577	1	2	yes	—
1272	C₄	C₇×#585	1	1	yes	characteristic
1273	C₄	C₇×#585	1	1	yes	characteristic
1274	C₂	—	4	1	no	—
1275	C₂	—	4	1	no	—
1276	C₂	—	4	1	no	—
1277	C₂	—	8	1	no	—
1278	C₂	—	8	1	no	—
1279	C₂	—	8	1	no	—
1280	C₂	C₇×#3449	1	1	yes	characteristic
1281	C₂	C₂×C₇×#577	1	1	yes	characteristic
1282	C₂	C₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3460	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3509	C₂	semidirect
3. C₇×#3254	C₂	semidirect
4. C₇×#3252	C₂	semidirect
5. C₇×#3248	C₂	semidirect
6. C₇×#3246	C₂	semidirect
7. C₇×#3242	C₂	semidirect
8. C₇×#3235	C₂	semidirect
9. C₇×#3233	C₂	semidirect
10. C₇×#3222	C₂	semidirect
11. C₇×#3218	C₂	semidirect
12. C₇×#3206	C₂	semidirect
13. C₇×#3201	C₂	semidirect
14. C₇×#3200	C₂	semidirect
15. C₇×#3178	C₂	semidirect
16. C₇×#3174	C₂	semidirect
17. C₇×#3126	C₂	semidirect
18. C₇×#3121	C₂	semidirect
19. C₇×#3116	C₂	semidirect
20. C₇×#3110	C₂	semidirect
21. C₇×#3107	C₂	semidirect
22. C₇×#3101	C₂	semidirect
23. C₇×#2925	C₂	semidirect
37. C₇×#541	C₂²	semidirect
49. C₇×#533	C₂²	semidirect
50. C₇×#533	C₂²	semidirect
51. C₇×#533	C₂²	semidirect
55. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
61. C₇×#519	C₂²	semidirect
65. C₇×#501	C₂²	semidirect
66. C₇×#499	C₂²	semidirect
69. C₇×#491	C₂²	semidirect
72. C₇×#487	C₂²	semidirect
75. C₇×#485	C₂²	semidirect
80. C₇×#482	C₂²	semidirect
81. C₇×#479	C₂²	semidirect
82. C₇×#479	C₂²	semidirect
83. C₇×#477	C₂²	semidirect
84. C₇×#477	C₂²	semidirect
87. C₇×#476	C₂²	semidirect
88. C₇×#475	C₂²	semidirect
89. C₇×#475	C₂²	semidirect
92. C₇×#474	C₂²	semidirect
93. C₇×#470	C₂²	semidirect
96. C₇×#468	C₂²	semidirect
97. C₇×#467	C₂²	semidirect
100. C₇×#465	C₂²	semidirect
103. C₇×#462	C₂²	semidirect
104. C₇×#462	C₂²	semidirect
109. C₇×#461	C₂²	semidirect
110. C₇×#461	C₂²	semidirect
115. C₇×#451	C₂²	semidirect
120. C₇×#448	C₂²	semidirect
121. C₇×#441	C₂²	semidirect
124. C₇×#440	C₂²	semidirect
125. C₄×C₇×Q₁₆	C₂²	semidirect
128. C₄×C₇×SD₁₆	C₂²	semidirect
130. C₇×#433	C₂²	semidirect
132. C₇×#432	C₂²	semidirect
134. C₇×#431	C₂²	semidirect
135. C₇×#423	C₂²	semidirect
136. C₂×C₇×C₄⋊C₈	C₂²	semidirect
138. C₇×#405	C₂²	semidirect
139. #60991	C₇	direct (N × H)
343. #3509	C₂×C₇	semidirect
345. #3254	C₂×C₇	semidirect
346. #3252	C₂×C₇	semidirect
347. #3248	C₂×C₇	semidirect
348. #3246	C₂×C₇	semidirect
349. #3242	C₂×C₇	semidirect
350. #3235	C₂×C₇	semidirect
351. #3233	C₂×C₇	semidirect
352. #3222	C₂×C₇	semidirect
353. #3218	C₂×C₇	semidirect
354. #3206	C₂×C₇	semidirect
355. #3201	C₂×C₇	semidirect
356. #3200	C₂×C₇	semidirect
357. #3178	C₂×C₇	semidirect
358. #3174	C₂×C₇	semidirect
359. #3126	C₂×C₇	semidirect
360. #3121	C₂×C₇	semidirect
361. #3116	C₂×C₇	semidirect
362. #3110	C₂×C₇	semidirect
363. #3107	C₂×C₇	semidirect
364. #3101	C₂×C₇	semidirect
365. #2925	C₂×C₇	semidirect
539. #541	C₂²×C₇	semidirect
551. #533	C₂²×C₇	semidirect
552. #533	C₂²×C₇	semidirect
553. #533	C₂²×C₇	semidirect
557. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
563. #519	C₂²×C₇	semidirect
567. #501	C₂²×C₇	semidirect
568. #499	C₂²×C₇	semidirect
571. #491	C₂²×C₇	semidirect
574. #487	C₂²×C₇	semidirect
577. #485	C₂²×C₇	semidirect
582. #482	C₂²×C₇	semidirect
583. #479	C₂²×C₇	semidirect
584. #479	C₂²×C₇	semidirect
585. #477	C₂²×C₇	semidirect
586. #477	C₂²×C₇	semidirect
589. #476	C₂²×C₇	semidirect
590. #475	C₂²×C₇	semidirect
591. #475	C₂²×C₇	semidirect
594. #474	C₂²×C₇	semidirect
595. #470	C₂²×C₇	semidirect
598. #468	C₂²×C₇	semidirect
599. #467	C₂²×C₇	semidirect
602. #465	C₂²×C₇	semidirect
605. #462	C₂²×C₇	semidirect
606. #462	C₂²×C₇	semidirect
611. #461	C₂²×C₇	semidirect
612. #461	C₂²×C₇	semidirect
617. #451	C₂²×C₇	semidirect
622. #448	C₂²×C₇	semidirect
623. #441	C₂²×C₇	semidirect
626. #440	C₂²×C₇	semidirect
627. C₄×Q₁₆	C₂²×C₇	semidirect
630. C₄×SD₁₆	C₂²×C₇	semidirect
632. #433	C₂²×C₇	semidirect
634. #432	C₂²×C₇	semidirect
636. #431	C₂²×C₇	semidirect
637. #423	C₂²×C₇	semidirect
638. C₂×C₄⋊C₈	C₂²×C₇	semidirect
640. #405	C₂²×C₇	semidirect
1231. C₇	#60991	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×#3509	2
C₇×#3460	2
C₇×#3254	2
C₇×#3252	2
C₇×#3248	2
C₇×#3246	2
C₇×#3242	2
C₇×#3235	2
C₇×#3233	2
C₇×#3222	2
C₇×#3218	2
C₇×#3206	2
C₇×#3201	2
C₇×#3200	2
C₇×#3178	2
C₇×#3174	2
C₇×#3126	2
C₇×#3121	2
C₇×#3116	2
C₇×#3110	2
C₇×#3107	2
C₇×#3101	2
C₇×#2925	2
#60991	7

Subgroups — C7×#60991 #13238207

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60991 #13238207