Subgroups — C₇×#60995 #13238211

Order 1792.

1662 conjugacy classes of subgroups.

The subgroup lattice has 1236 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×#3461	C₂	1	1	yes	maximal, characteristic
3	C₇×#3255	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3249	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3248	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3242	C₂	1	2	yes	maximal, complemented
8	C₇×#3237	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3233	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3223	C₂	1	2	yes	maximal, complemented
11	C₇×#3218	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3209	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3202	C₂	1	2	yes	maximal, complemented
14	C₇×#3201	C₂	1	2	yes	maximal
15	C₇×#3178	C₂	1	2	yes	maximal, complemented
16	C₇×#3177	C₂	1	2	yes	maximal, complemented
17	C₇×#3127	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×#3113	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3107	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3104	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	—	2	1	no	—
37	C₇×#541	C₂²	1	1	yes	characteristic
38	C₇×#541	C₂²	1	2	yes	—
39	C₇×#541	C₂²	1	2	yes	—
40	C₇×#541	C₂²	1	1	yes	characteristic
41	C₇×#539	—	2	1	no	—
42	C₇×#539	—	2	1	no	—
43	C₇×#537	C₂²	1	1	yes	characteristic
44	C₇×#536	C₂²	1	1	yes	characteristic
45	C₇×#536	C₂²	1	2	yes	—
46	C₇×#536	C₂²	1	1	yes	characteristic
47	C₇×#533	—	2	1	no	—
48	C₇×#533	C₂²	1	1	yes	characteristic
49	C₇×#533	C₂²	1	1	yes	characteristic
50	C₇×#533	C₂²	1	1	yes	characteristic
51	C₇×#533	C₂²	1	1	yes	characteristic
52	C₇×#533	C₂²	1	1	yes	characteristic
53	C₇×#533	C₂²	1	1	yes	characteristic
54	C₇×#533	C₂²	1	1	yes	characteristic
55	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
56	C₇×#529	—	2	1	no	—
57	C₇×#529	—	2	1	no	—
58	C₇×#529	—	2	1	no	—
59	C₇×#529	C₂²	1	1	yes	characteristic
60	C₇×#529	C₂²	1	1	yes	characteristic
61	C₇×#519	C₂²	1	2	yes	—
62	C₄×C₇×#41	C₂²	1	1	yes	characteristic
63	C₄×C₇×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
65	C₇×#501	C₂²	1	2	yes	—
66	C₇×#499	C₂²	1	2	yes	—
67	C₇×#497	C₂²	1	2	yes	—
68	C₇×#494	C₂²	1	2	yes	—
69	C₇×#491	C₂²	1	2	yes	—
70	C₇×#491	C₂²	1	2	yes	—
71	C₇×#488	C₂²	1	2	yes	—
72	C₇×#487	C₂²	1	2	yes	—
73	C₇×#485	C₂²	1	2	yes	—
74	C₇×#485	C₂²	1	2	yes	—
75	C₇×#485	C₂²	1	2	yes	—
76	C₇×#485	C₂²	1	2	yes	—
77	C₇×#485	C₂²	1	2	yes	—
78	C₇×#484	C₂²	1	2	yes	—
79	C₇×#483	C₂²	1	2	yes	—
80	C₇×#482	C₂²	1	2	yes	—
81	C₇×#479	C₂²	1	2	yes	—
82	C₇×#479	C₂²	1	2	yes	—
83	C₇×#477	C₂²	1	1	yes	characteristic
84	C₇×#477	C₂²	1	1	yes	characteristic
85	C₇×#477	C₂²	1	1	yes	characteristic
86	C₇×#477	C₂²	1	2	yes	—
87	C₇×#476	C₂²	1	1	yes	characteristic
88	C₇×#475	C₂²	1	1	yes	characteristic
89	C₇×#475	C₂²	1	1	yes	characteristic
90	C₇×#475	C₂²	1	1	yes	characteristic
91	C₇×#475	C₂²	1	2	yes	—
92	C₇×#474	C₂²	1	1	yes	characteristic
93	C₇×#470	C₂²	1	2	yes	—
94	C₇×#470	C₂²	1	2	yes	—
95	C₇×#470	C₂²	1	2	yes	—
96	C₇×#468	C₂²	1	2	yes	—
97	C₇×#467	C₂²	1	2	yes	—
98	C₇×#467	C₂²	1	2	yes	—
99	C₇×#467	C₂²	1	2	yes	—
100	C₇×#465	C₂²	1	2	yes	—
101	C₇×#464	C₂²	1	2	yes	—
102	C₇×#464	C₂²	1	2	yes	—
103	C₇×#462	C₂²	1	1	yes	characteristic
104	C₇×#462	C₂²	1	1	yes	characteristic
105	C₇×#462	C₂²	1	1	yes	characteristic
106	C₇×#462	C₂²	1	1	yes	characteristic
107	C₇×#462	C₂²	1	1	yes	characteristic
108	C₇×#462	C₂²	1	1	yes	characteristic
109	C₇×#462	C₂²	1	2	yes	—
110	C₇×#462	C₂²	1	2	yes	—
111	C₇×#461	C₂²	1	1	yes	characteristic
112	C₇×#461	C₂²	1	1	yes	characteristic
113	C₇×#452	C₂²	1	2	yes	—
114	C₇×#452	C₂²	1	2	yes	—
115	C₇×#451	C₂²	1	2	yes	—
116	C₇×#451	C₂²	1	2	yes	—
117	C₇×#451	C₂²	1	2	yes	—
118	C₇×#451	C₂²	1	2	yes	—
119	C₇×#451	C₂²	1	2	yes	—
120	C₇×#448	C₂²	1	2	yes	—
121	C₇×#441	C₂²	1	2	yes	—
122	C₇×#441	C₂²	1	2	yes	—
123	C₇×#441	C₂²	1	2	yes	—
124	C₇×#440	C₂²	1	2	yes	—
125	C₄×C₇×Q₁₆	C₂²	1	2	yes	—
126	C₄×C₇×Q₁₆	C₂²	1	2	yes	—
127	C₄×C₇×Q₁₆	C₂²	1	2	yes	—
128	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
129	C₇×#433	C₂²	1	2	yes	—
130	C₇×#433	C₂²	1	2	yes	—
131	C₇×#432	C₂²	1	1	yes	characteristic
132	C₇×#432	C₂²	1	1	yes	characteristic
133	C₇×#431	C₂²	1	1	yes	characteristic
134	C₇×#431	C₂²	1	1	yes	characteristic
135	C₇×#423	C₂²	1	1	yes	characteristic
136	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
137	C₇×#408	C₂²	1	2	yes	—
138	C₇×#405	C₂²	1	2	yes	—
139	#60995	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
140	C₂×C₇×#41	C₂³	1	1	yes	characteristic
141	C₂×C₇×#41	C₂³	1	1	yes	characteristic
142	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
143	C₂²×C₇×Q₈	C₂³	1	2	yes	—
144	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₇×M₁₆	C₂³	1	2	yes	—
153	C₂²×C₇×C₈	C₂³	1	2	yes	—
154	C₇×C₄⋊Q₈	—	2	1	no	—
155	C₇×C₄⋊Q₈	—	2	2	no	—
156	C₇×C₄⋊Q₈	—	2	1	no	—
157	C₇×C₄⋊Q₈	—	2	1	no	—
158	C₇×C₄⋊Q₈	—	2	1	no	—
159	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×#126	—	2	1	no	—
169	C₇×#126	—	2	1	no	—
170	C₇×#126	—	2	1	no	—
171	C₇×#126	—	2	1	no	—
172	C₇×#126	—	2	1	no	—
173	C₇×#126	—	2	1	no	—
174	C₇×#126	—	2	2	no	—
175	C₇×#126	—	2	2	no	—
176	C₇×#126	—	2	2	no	—
177	C₇×#126	—	2	2	no	—
178	C₇×#126	—	2	1	no	—
179	C₇×#126	—	2	1	no	—
180	C₇×#125	—	2	1	no	—
181	C₇×#125	—	2	1	no	—
182	C₇×#125	—	2	1	no	—
183	C₇×#125	—	2	1	no	—
184	C₇×#125	—	2	1	no	—
185	C₇×#125	—	2	2	no	—
186	C₇×#125	—	2	2	no	—
187	C₇×#125	—	2	2	no	—
188	C₇×#125	—	2	2	no	—
189	C₇×#125	—	2	1	no	—
190	C₇×#125	—	2	1	no	—
191	C₇×#125	—	2	1	no	—
192	C₇×#125	—	2	1	no	—
193	C₇×#125	—	2	1	no	—
194	C₇×#125	—	2	1	no	—
195	C₇×#125	C₂³	1	1	yes	characteristic
196	C₇×#125	C₂³	1	2	yes	—
197	C₇×#125	C₂³	1	1	yes	characteristic
198	C₇×#124	—	2	1	no	—
199	C₇×#124	—	2	2	no	—
200	C₇×#124	—	2	1	no	—
201	C₇×#124	—	2	1	no	—
202	C₇×#124	C₂³	1	1	yes	characteristic
203	C₇×#124	C₂³	1	1	yes	characteristic
204	C₇×#123	—	2	1	no	—
205	C₇×#123	—	2	1	no	—
206	C₇×#123	—	2	2	no	—
207	C₇×#123	—	2	2	no	—
208	C₇×#123	—	2	1	no	—
209	C₇×#123	—	2	1	no	—
210	C₇×#123	—	2	1	no	—
211	C₇×#123	—	2	1	no	—
212	C₇×#123	—	2	1	no	—
213	C₇×#123	—	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	—	2	1	no	—
221	C₇×C₂²⋊Q₈	—	2	1	no	—
222	C₇×C₂²⋊Q₈	—	2	1	no	—
223	C₇×C₂²⋊Q₈	—	2	1	no	—
224	C₇×C₂²⋊Q₈	—	2	1	no	—
225	C₇×C₂²⋊Q₈	—	2	1	no	—
226	C₇×C₂²⋊Q₈	—	2	1	no	—
227	C₇×C₂²⋊Q₈	—	2	1	no	—
228	C₇×C₂²⋊Q₈	—	2	1	no	—
229	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
230	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
234	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
235	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
236	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
238	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
239	C₇×#121	—	2	1	no	—
240	C₇×#121	—	2	1	no	—
241	C₇×#121	—	2	1	no	—
242	C₇×#121	C₂³	1	1	yes	characteristic
243	C₇×#121	C₂³	1	1	yes	characteristic
244	C₄×C₇×Q₈	—	2	2	no	—
245	C₄×C₇×Q₈	—	2	2	no	—
246	C₄×C₇×Q₈	—	2	1	no	—
247	C₄×C₇×Q₈	—	2	1	no	—
248	C₄×C₇×Q₈	—	2	1	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	—	2	1	no	—
256	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
257	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
258	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
259	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
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×Q₈	C₂³	1	1	yes	characteristic
264	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
265	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
266	C₄×C₇×Q₈	C₂³	1	2	yes	—
267	C₄×C₇×Q₈	C₂³	1	2	yes	—
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	—	2	1	no	—
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	D₄	1	1	yes	characteristic
278	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
279	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
280	C₇×#117	—	2	1	no	—
281	C₇×#117	—	2	1	no	—
282	C₇×#117	—	2	1	no	—
283	C₇×#117	—	2	1	no	—
284	C₇×#117	—	2	1	no	—
285	C₇×#117	—	2	1	no	—
286	C₇×#117	—	2	2	no	—
287	C₇×#117	—	2	2	no	—
288	C₇×#117	—	2	1	no	—
289	C₇×#117	—	2	1	no	—
290	C₇×#117	—	2	1	no	—
291	C₇×#117	C₂³	1	2	yes	—
292	C₇×#117	C₂³	1	1	yes	characteristic
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	C₂×C₇×C₄⋊C₄	—	2	1	no	—
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×C₄²×C₇	—	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×#103	C₂³	1	2	yes	—
330	C₇×#103	C₂³	1	2	yes	—
331	C₇×#103	C₂³	1	2	yes	—
332	C₇×#103	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	#3461	C₂×C₇	1	1	yes	characteristic
345	#3255	C₂×C₇	1	1	yes	characteristic, complemented
346	#3252	C₂×C₇	1	1	yes	characteristic, complemented
347	#3249	C₂×C₇	1	1	yes	characteristic, complemented
348	#3248	C₂×C₇	1	1	yes	characteristic, complemented
349	#3242	C₂×C₇	1	2	yes	complemented
350	#3237	C₂×C₇	1	1	yes	characteristic, complemented
351	#3233	C₂×C₇	1	1	yes	characteristic, complemented
352	#3223	C₂×C₇	1	2	yes	complemented
353	#3218	C₂×C₇	1	1	yes	characteristic, complemented
354	#3209	C₂×C₇	1	1	yes	characteristic, complemented
355	#3202	C₂×C₇	1	2	yes	complemented
356	#3201	C₂×C₇	1	2	yes	—
357	#3178	C₂×C₇	1	2	yes	complemented
358	#3177	C₂×C₇	1	2	yes	complemented
359	#3127	C₂×C₇	1	2	yes	complemented
360	#3121	C₂×C₇	1	2	yes	complemented
361	#3116	C₂×C₇	1	1	yes	characteristic, complemented
362	#3113	C₂×C₇	1	1	yes	characteristic, complemented
363	#3107	C₂×C₇	1	1	yes	characteristic, complemented
364	#3104	C₂×C₇	1	1	yes	characteristic, complemented
365	#2925	C₂×C₇	1	1	yes	characteristic, complemented
366	C₇×#41	—	4	1	no	—
367	C₇×#41	—	4	1	no	—
368	C₇×#41	—	4	1	no	—
369	C₇×#41	—	4	1	no	—
370	C₂×C₇×Q₈	—	2	1	no	—
371	C₂×C₇×Q₈	—	2	1	no	—
372	C₂×C₇×Q₈	—	2	1	no	—
373	C₂×C₇×Q₈	—	2	2	no	—
374	C₂×C₇×Q₈	—	2	1	no	—
375	C₂×C₇×Q₈	—	2	1	no	—
376	C₂×C₇×Q₈	—	4	2	no	—
377	C₂×C₇×Q₈	—	4	2	no	—
378	C₂×C₇×Q₈	—	4	1	no	—
379	C₂×C₇×Q₈	—	4	1	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	1	yes	characteristic
383	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
384	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
385	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
390	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
391	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
392	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₇	—	2	1	no	—
394	C₂²×C₄×C₇	—	2	2	no	—
395	C₂²×C₄×C₇	—	2	1	no	—
396	C₂²×C₄×C₇	—	2	1	no	—
397	C₂²×C₄×C₇	—	2	1	no	—
398	C₂²×C₄×C₇	—	2	1	no	—
399	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
400	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
401	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₇×Q₁₆	—	4	2	no	—
409	C₇×Q₁₆	—	4	2	no	—
410	C₇×Q₁₆	—	4	2	no	—
411	C₇×Q₁₆	—	4	2	no	—
412	C₇×Q₁₆	—	4	2	no	—
413	C₇×Q₁₆	—	4	2	no	—
414	C₇×SD₁₆	—	4	2	no	—
415	C₇×SD₁₆	—	4	2	no	—
416	C₇×M₁₆	—	4	2	no	—
417	C₂×C₇×C₈	—	4	2	no	—
418	C₂×C₇×C₈	C₂⁴	1	2	yes	—
419	C₂×C₇×C₈	C₂⁴	1	2	yes	—
420	C₂×C₇×C₈	C₂⁴	1	2	yes	—
421	C₂×C₇×C₈	C₂⁴	1	2	yes	—
422	C₇×C₄⋊C₄	—	2	1	no	—
423	C₇×C₄⋊C₄	—	2	1	no	—
424	C₇×C₄⋊C₄	—	2	1	no	—
425	C₇×C₄⋊C₄	—	2	1	no	—
426	C₇×C₄⋊C₄	—	2	1	no	—
427	C₇×C₄⋊C₄	—	2	1	no	—
428	C₇×C₄⋊C₄	—	2	1	no	—
429	C₇×C₄⋊C₄	—	2	1	no	—
430	C₇×C₄⋊C₄	—	2	2	no	—
431	C₇×C₄⋊C₄	—	2	2	no	—
432	C₇×C₄⋊C₄	—	2	1	no	—
433	C₇×C₄⋊C₄	—	2	1	no	—
434	C₇×C₄⋊C₄	—	2	1	no	—
435	C₇×C₄⋊C₄	—	2	1	no	—
436	C₇×C₄⋊C₄	—	2	1	no	—
437	C₇×C₄⋊C₄	—	2	2	no	—
438	C₇×C₄⋊C₄	—	2	2	no	—
439	C₇×C₄⋊C₄	—	2	2	no	—
440	C₇×C₄⋊C₄	—	2	2	no	—
441	C₇×C₄⋊C₄	—	2	1	no	—
442	C₇×C₄⋊C₄	—	2	1	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	1	no	—
449	C₇×C₄⋊C₄	—	2	1	no	—
450	C₇×C₄⋊C₄	—	2	1	no	—
451	C₇×C₄⋊C₄	—	2	1	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	2	no	—
458	C₇×C₄⋊C₄	—	2	2	no	—
459	C₇×C₄⋊C₄	—	2	2	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	C₂×D₄	1	1	yes	characteristic
464	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
465	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	2	yes	—
470	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
471	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
472	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
473	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
474	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
475	C₇×C₂²⋊C₄	—	2	2	no	—
476	C₇×C₂²⋊C₄	—	2	1	no	—
477	C₇×C₂²⋊C₄	—	2	1	no	—
478	C₇×C₂²⋊C₄	—	2	1	no	—
479	C₇×C₂²⋊C₄	—	2	1	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	2	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	C₂×D₄	1	1	yes	characteristic
496	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
497	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
498	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
499	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
500	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
501	C₄²×C₇	—	2	1	no	—
502	C₄²×C₇	—	2	1	no	—
503	C₄²×C₇	—	2	1	no	—
504	C₄²×C₇	—	2	1	no	—
505	C₄²×C₇	—	2	1	no	—
506	C₄²×C₇	—	2	1	no	—
507	C₄²×C₇	—	2	1	no	—
508	C₄²×C₇	—	2	2	no	—
509	C₄²×C₇	—	2	2	no	—
510	C₄²×C₇	—	2	2	no	—
511	C₄²×C₇	—	2	2	no	—
512	C₄²×C₇	—	2	2	no	—
513	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
514	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
515	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
520	C₄²×C₇	C₂⁴	1	1	yes	characteristic
521	C₄²×C₇	C₂⁴	1	1	yes	characteristic
522	C₄²×C₇	C₂⁴	1	1	yes	characteristic
523	#557	—	2	1	no	—
524	#557	—	2	1	no	—
525	#556	—	2	1	no	—
526	#556	—	2	1	no	—
527	#552	—	2	1	no	—
528	#552	—	2	1	no	—
529	#552	—	2	1	no	—
530	#552	—	2	1	no	—
531	#544	C₂²×C₇	1	1	yes	characteristic
532	#542	—	2	1	no	—
533	#542	C₂²×C₇	1	1	yes	characteristic
534	#542	C₂²×C₇	1	1	yes	characteristic
535	#541	—	2	1	no	—
536	#541	C₂²×C₇	1	1	yes	characteristic
537	#541	C₂²×C₇	1	1	yes	characteristic
538	#541	C₂²×C₇	1	2	yes	—
539	#541	C₂²×C₇	1	2	yes	—
540	#539	—	2	1	no	—
541	#539	—	2	1	no	—
542	#537	C₂²×C₇	1	1	yes	characteristic
543	#536	C₂²×C₇	1	1	yes	characteristic
544	#536	C₂²×C₇	1	2	yes	—
545	#536	C₂²×C₇	1	1	yes	characteristic
546	#533	—	2	1	no	—
547	#533	C₂²×C₇	1	1	yes	characteristic
548	#533	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
552	#533	C₂²×C₇	1	1	yes	characteristic
553	#533	C₂²×C₇	1	1	yes	characteristic
554	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
555	#529	—	2	1	no	—
556	#529	—	2	1	no	—
557	#529	—	2	1	no	—
558	#529	C₂²×C₇	1	1	yes	characteristic
559	#529	C₂²×C₇	1	1	yes	characteristic
560	#519	C₂²×C₇	1	2	yes	—
561	C₄×#41	C₂²×C₇	1	1	yes	characteristic
562	C₄×#41	C₂²×C₇	1	1	yes	characteristic
563	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic
564	#501	C₂²×C₇	1	2	yes	—
565	#499	C₂²×C₇	1	2	yes	—
566	#497	C₂²×C₇	1	2	yes	—
567	#494	C₂²×C₇	1	2	yes	—
568	#491	C₂²×C₇	1	2	yes	—
569	#491	C₂²×C₇	1	2	yes	—
570	#488	C₂²×C₇	1	2	yes	—
571	#487	C₂²×C₇	1	2	yes	—
572	#485	C₂²×C₇	1	2	yes	—
573	#485	C₂²×C₇	1	2	yes	—
574	#485	C₂²×C₇	1	2	yes	—
575	#485	C₂²×C₇	1	2	yes	—
576	#485	C₂²×C₇	1	2	yes	—
577	#484	C₂²×C₇	1	2	yes	—
578	#483	C₂²×C₇	1	2	yes	—
579	#482	C₂²×C₇	1	2	yes	—
580	#479	C₂²×C₇	1	2	yes	—
581	#479	C₂²×C₇	1	2	yes	—
582	#477	C₂²×C₇	1	1	yes	characteristic
583	#477	C₂²×C₇	1	1	yes	characteristic
584	#477	C₂²×C₇	1	1	yes	characteristic
585	#477	C₂²×C₇	1	2	yes	—
586	#476	C₂²×C₇	1	1	yes	characteristic
587	#475	C₂²×C₇	1	1	yes	characteristic
588	#475	C₂²×C₇	1	1	yes	characteristic
589	#475	C₂²×C₇	1	1	yes	characteristic
590	#475	C₂²×C₇	1	2	yes	—
591	#474	C₂²×C₇	1	1	yes	characteristic
592	#470	C₂²×C₇	1	2	yes	—
593	#470	C₂²×C₇	1	2	yes	—
594	#470	C₂²×C₇	1	2	yes	—
595	#468	C₂²×C₇	1	2	yes	—
596	#467	C₂²×C₇	1	2	yes	—
597	#467	C₂²×C₇	1	2	yes	—
598	#467	C₂²×C₇	1	2	yes	—
599	#465	C₂²×C₇	1	2	yes	—
600	#464	C₂²×C₇	1	2	yes	—
601	#464	C₂²×C₇	1	2	yes	—
602	#462	C₂²×C₇	1	1	yes	characteristic
603	#462	C₂²×C₇	1	1	yes	characteristic
604	#462	C₂²×C₇	1	1	yes	characteristic
605	#462	C₂²×C₇	1	1	yes	characteristic
606	#462	C₂²×C₇	1	1	yes	characteristic
607	#462	C₂²×C₇	1	1	yes	characteristic
608	#462	C₂²×C₇	1	2	yes	—
609	#462	C₂²×C₇	1	2	yes	—
610	#461	C₂²×C₇	1	1	yes	characteristic
611	#461	C₂²×C₇	1	1	yes	characteristic
612	#452	C₂²×C₇	1	2	yes	—
613	#452	C₂²×C₇	1	2	yes	—
614	#451	C₂²×C₇	1	2	yes	—
615	#451	C₂²×C₇	1	2	yes	—
616	#451	C₂²×C₇	1	2	yes	—
617	#451	C₂²×C₇	1	2	yes	—
618	#451	C₂²×C₇	1	2	yes	—
619	#448	C₂²×C₇	1	2	yes	—
620	#441	C₂²×C₇	1	2	yes	—
621	#441	C₂²×C₇	1	2	yes	—
622	#441	C₂²×C₇	1	2	yes	—
623	#440	C₂²×C₇	1	2	yes	—
624	C₄×Q₁₆	C₂²×C₇	1	2	yes	—
625	C₄×Q₁₆	C₂²×C₇	1	2	yes	—
626	C₄×Q₁₆	C₂²×C₇	1	2	yes	—
627	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
628	#433	C₂²×C₇	1	2	yes	—
629	#433	C₂²×C₇	1	2	yes	—
630	#432	C₂²×C₇	1	1	yes	characteristic
631	#432	C₂²×C₇	1	1	yes	characteristic
632	#431	C₂²×C₇	1	1	yes	characteristic
633	#431	C₂²×C₇	1	1	yes	characteristic
634	#423	C₂²×C₇	1	1	yes	characteristic
635	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic
636	#408	C₂²×C₇	1	2	yes	—
637	#405	C₂²×C₇	1	2	yes	—
638	C₂³×C₇	—	2	1	no	—
639	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
640	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
641	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
642	C₇×Q₈	—	2	2	no	—
643	C₇×Q₈	—	2	2	no	—
644	C₇×Q₈	—	2	1	no	—
645	C₇×Q₈	—	2	1	no	—
646	C₇×Q₈	—	2	1	no	—
647	C₇×Q₈	—	2	1	no	—
648	C₇×Q₈	—	2	2	no	—
649	C₇×Q₈	—	2	2	no	—
650	C₇×Q₈	—	2	1	no	—
651	C₇×Q₈	—	2	1	no	—
652	C₇×Q₈	—	4	1	no	—
653	C₇×Q₈	—	4	2	no	—
654	C₇×Q₈	—	4	2	no	—
655	C₇×Q₈	—	4	4	no	—
656	C₇×Q₈	—	4	2	no	—
657	C₇×Q₈	—	8	1	no	—
658	C₇×Q₈	—	8	1	no	—
659	C₇×D₄	—	2	1	no	—
660	C₇×D₄	—	2	1	no	—
661	C₇×D₄	—	4	1	no	—
662	C₇×D₄	—	4	1	no	—
663	C₇×D₄	—	4	1	no	—
664	C₇×D₄	—	4	2	no	—
665	C₇×D₄	—	8	1	no	—
666	C₇×D₄	—	8	1	no	—
667	C₂×C₄×C₇	—	2	2	no	—
668	C₂×C₄×C₇	—	2	2	no	—
669	C₂×C₄×C₇	—	2	2	no	—
670	C₂×C₄×C₇	—	2	1	no	—
671	C₂×C₄×C₇	—	2	1	no	—
672	C₂×C₄×C₇	—	2	1	no	—
673	C₂×C₄×C₇	—	2	1	no	—
674	C₂×C₄×C₇	—	2	1	no	—
675	C₂×C₄×C₇	—	2	1	no	—
676	C₂×C₄×C₇	—	2	2	no	—
677	C₂×C₄×C₇	—	2	2	no	—
678	C₂×C₄×C₇	—	2	1	no	—
679	C₂×C₄×C₇	—	2	1	no	—
680	C₂×C₄×C₇	—	2	1	no	—
681	C₂×C₄×C₇	—	2	1	no	—
682	C₂×C₄×C₇	—	2	1	no	—
683	C₂×C₄×C₇	—	2	2	no	—
684	C₂×C₄×C₇	—	2	2	no	—
685	C₂×C₄×C₇	—	2	1	no	—
686	C₂×C₄×C₇	—	2	1	no	—
687	C₂×C₄×C₇	—	4	1	no	—
688	C₂×C₄×C₇	—	4	1	no	—
689	C₂×C₄×C₇	—	4	1	no	—
690	C₂×C₄×C₇	—	4	2	no	—
691	C₂×C₄×C₇	—	4	4	no	—
692	C₂×C₄×C₇	—	4	2	no	—
693	C₂×C₄×C₇	—	4	2	no	—
694	C₂×C₄×C₇	—	8	1	no	—
695	C₂×C₄×C₇	—	8	1	no	—
696	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
697	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
698	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
699	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
700	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
701	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
702	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
703	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
704	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
705	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
706	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
707	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
708	C₇×C₈	—	2	2	no	—
709	C₇×C₈	—	2	2	no	—
710	C₇×C₈	—	2	2	no	—
711	C₇×C₈	—	2	2	no	—
712	C₂×#41	C₂³×C₇	1	1	yes	characteristic
713	C₂×#41	C₂³×C₇	1	1	yes	characteristic
714	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
715	C₂²×Q₈	C₂³×C₇	1	2	yes	—
716	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
717	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
718	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
719	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
720	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
721	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
723	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
724	C₂×M₁₆	C₂³×C₇	1	2	yes	—
725	C₂²×C₈	C₂³×C₇	1	2	yes	—
726	C₄⋊Q₈	—	2	1	no	—
727	C₄⋊Q₈	—	2	2	no	—
728	C₄⋊Q₈	—	2	1	no	—
729	C₄⋊Q₈	—	2	1	no	—
730	C₄⋊Q₈	—	2	1	no	—
731	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
732	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
733	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
734	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
736	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
737	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
738	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
739	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
740	#126	—	2	1	no	—
741	#126	—	2	1	no	—
742	#126	—	2	1	no	—
743	#126	—	2	1	no	—
744	#126	—	2	1	no	—
745	#126	—	2	1	no	—
746	#126	—	2	2	no	—
747	#126	—	2	2	no	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	1	no	—
751	#126	—	2	1	no	—
752	#125	—	2	1	no	—
753	#125	—	2	1	no	—
754	#125	—	2	1	no	—
755	#125	—	2	1	no	—
756	#125	—	2	1	no	—
757	#125	—	2	2	no	—
758	#125	—	2	2	no	—
759	#125	—	2	2	no	—
760	#125	—	2	2	no	—
761	#125	—	2	1	no	—
762	#125	—	2	1	no	—
763	#125	—	2	1	no	—
764	#125	—	2	1	no	—
765	#125	—	2	1	no	—
766	#125	—	2	1	no	—
767	#125	C₂³×C₇	1	1	yes	characteristic
768	#125	C₂³×C₇	1	1	yes	characteristic
769	#125	C₂³×C₇	1	2	yes	—
770	#124	—	2	1	no	—
771	#124	—	2	2	no	—
772	#124	—	2	1	no	—
773	#124	—	2	1	no	—
774	#124	C₂³×C₇	1	1	yes	characteristic
775	#124	C₂³×C₇	1	1	yes	characteristic
776	#123	—	2	1	no	—
777	#123	—	2	1	no	—
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	1	no	—
781	#123	—	2	1	no	—
782	#123	—	2	1	no	—
783	#123	—	2	1	no	—
784	#123	—	2	1	no	—
785	#123	—	2	1	no	—
786	C₂²⋊Q₈	—	2	1	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	2	1	no	—
789	C₂²⋊Q₈	—	2	1	no	—
790	C₂²⋊Q₈	—	2	1	no	—
791	C₂²⋊Q₈	—	2	1	no	—
792	C₂²⋊Q₈	—	2	1	no	—
793	C₂²⋊Q₈	—	2	1	no	—
794	C₂²⋊Q₈	—	2	1	no	—
795	C₂²⋊Q₈	—	2	1	no	—
796	C₂²⋊Q₈	—	2	1	no	—
797	C₂²⋊Q₈	—	2	1	no	—
798	C₂²⋊Q₈	—	2	1	no	—
799	C₂²⋊Q₈	—	2	1	no	—
800	C₂²⋊Q₈	—	2	1	no	—
801	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
802	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
803	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
804	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
805	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
806	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
807	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
808	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
809	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
810	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
811	#121	—	2	1	no	—
812	#121	—	2	1	no	—
813	#121	—	2	1	no	—
814	#121	C₂³×C₇	1	1	yes	characteristic
815	#121	C₂³×C₇	1	1	yes	characteristic
816	C₄×Q₈	—	2	2	no	—
817	C₄×Q₈	—	2	2	no	—
818	C₄×Q₈	—	2	1	no	—
819	C₄×Q₈	—	2	1	no	—
820	C₄×Q₈	—	2	1	no	—
821	C₄×Q₈	—	2	1	no	—
822	C₄×Q₈	—	2	1	no	—
823	C₄×Q₈	—	2	1	no	—
824	C₄×Q₈	—	2	1	no	—
825	C₄×Q₈	—	2	1	no	—
826	C₄×Q₈	—	2	1	no	—
827	C₄×Q₈	—	2	1	no	—
828	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
829	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
830	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
831	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
832	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
833	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
834	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
835	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
836	C₄×Q₈	C₂³×C₇	1	2	yes	—
837	C₄×Q₈	C₂³×C₇	1	2	yes	—
838	C₄×Q₈	C₂³×C₇	1	2	yes	—
839	C₄×Q₈	C₂³×C₇	1	2	yes	—
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	—	2	1	no	—
842	C₄×D₄	—	2	1	no	—
843	C₄×D₄	—	2	1	no	—
844	C₄×D₄	C₇×D₄	1	1	yes	characteristic
845	C₄×D₄	C₇×D₄	1	1	yes	characteristic
846	C₄×D₄	C₇×D₄	1	1	yes	characteristic
847	C₄×D₄	C₇×D₄	1	1	yes	characteristic
848	C₄×D₄	C₇×D₄	1	1	yes	characteristic
849	C₄×D₄	C₇×D₄	1	1	yes	characteristic
850	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
851	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
852	#117	—	2	1	no	—
853	#117	—	2	1	no	—
854	#117	—	2	1	no	—
855	#117	—	2	1	no	—
856	#117	—	2	1	no	—
857	#117	—	2	1	no	—
858	#117	—	2	2	no	—
859	#117	—	2	2	no	—
860	#117	—	2	1	no	—
861	#117	—	2	1	no	—
862	#117	—	2	1	no	—
863	#117	C₂³×C₇	1	1	yes	characteristic
864	#117	C₂³×C₇	1	2	yes	—
865	#117	C₂³×C₇	1	1	yes	characteristic
866	#117	C₂³×C₇	1	1	yes	characteristic
867	#117	C₂³×C₇	1	1	yes	characteristic
868	C₂×C₄⋊C₄	—	2	1	no	—
869	C₂×C₄⋊C₄	—	2	1	no	—
870	C₂×C₄⋊C₄	—	2	1	no	—
871	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
872	C₂×C₄²	—	2	1	no	—
873	C₂×C₄²	—	2	1	no	—
874	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
875	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
876	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
877	#107	C₂³×C₇	1	2	yes	—
878	#107	C₂³×C₇	1	2	yes	—
879	#107	C₂³×C₇	1	2	yes	—
880	#107	C₂³×C₇	1	2	yes	—
881	#106	C₂³×C₇	1	2	yes	—
882	#106	C₂³×C₇	1	2	yes	—
883	#106	C₂³×C₇	1	2	yes	—
884	#106	C₂³×C₇	1	2	yes	—
885	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
886	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
887	C₄⋊C₈	C₂³×C₇	1	2	yes	—
888	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
889	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
890	C₄⋊C₈	C₂³×C₇	1	2	yes	—
891	#103	C₂³×C₇	1	2	yes	—
892	#103	C₂³×C₇	1	2	yes	—
893	#103	C₂³×C₇	1	2	yes	—
894	#103	C₂³×C₇	1	2	yes	—
895	#103	C₂³×C₇	1	2	yes	—
896	#103	C₂³×C₇	1	2	yes	—
897	#103	C₂³×C₇	1	2	yes	—
898	#103	C₂³×C₇	1	2	yes	—
899	#103	C₂³×C₇	1	2	yes	—
900	#103	C₂³×C₇	1	2	yes	—
901	#103	C₂³×C₇	1	2	yes	—
902	#103	C₂³×C₇	1	2	yes	—
903	#103	C₂³×C₇	1	2	yes	—
904	#103	C₂³×C₇	1	2	yes	—
905	#102	C₂³×C₇	1	2	yes	—
906	#102	C₂³×C₇	1	2	yes	—
907	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
908	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
909	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
910	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
911	#97	C₂³×C₇	1	2	yes	—
912	#97	C₂³×C₇	1	2	yes	—
913	C₄×C₈	C₂³×C₇	1	2	yes	—
914	C₄×C₈	C₂³×C₇	1	2	yes	—
915	C₂²×C₇	—	2	1	no	—
916	C₂²×C₇	—	2	1	no	—
917	C₂²×C₇	—	2	1	no	—
918	C₂²×C₇	—	2	1	no	—
919	C₂²×C₇	—	2	1	no	—
920	C₂²×C₇	—	2	1	no	—
921	C₂²×C₇	—	2	1	no	—
922	C₂²×C₇	—	2	1	no	—
923	C₂²×C₇	—	2	1	no	—
924	C₂²×C₇	—	4	1	no	—
925	C₂²×C₇	—	4	1	no	—
926	C₂²×C₇	—	4	1	no	—
927	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
928	C₄×C₇	—	2	1	no	—
929	C₄×C₇	—	2	1	no	—
930	C₄×C₇	—	2	1	no	—
931	C₄×C₇	—	2	1	no	—
932	C₄×C₇	—	2	1	no	—
933	C₄×C₇	—	2	1	no	—
934	C₄×C₇	—	2	1	no	—
935	C₄×C₇	—	2	1	no	—
936	C₄×C₇	—	2	1	no	—
937	C₄×C₇	—	2	1	no	—
938	C₄×C₇	—	4	1	no	—
939	C₄×C₇	—	4	1	no	—
940	C₄×C₇	—	4	1	no	—
941	C₄×C₇	—	4	2	no	—
942	C₄×C₇	—	4	1	no	—
943	C₄×C₇	—	4	1	no	—
944	C₄×C₇	—	4	1	no	—
945	C₄×C₇	—	4	2	no	—
946	C₄×C₇	—	4	2	no	—
947	C₄×C₇	—	4	1	no	—
948	C₄×C₇	—	4	2	no	—
949	C₄×C₇	#578	1	2	yes	—
950	C₄×C₇	#585	1	1	yes	characteristic
951	C₄×C₇	#585	1	1	yes	characteristic
952	#41	—	4	1	no	—
953	#41	—	4	1	no	—
954	#41	—	4	1	no	—
955	#41	—	4	1	no	—
956	C₂×Q₈	—	2	1	no	—
957	C₂×Q₈	—	2	1	no	—
958	C₂×Q₈	—	2	1	no	—
959	C₂×Q₈	—	2	2	no	—
960	C₂×Q₈	—	2	1	no	—
961	C₂×Q₈	—	2	1	no	—
962	C₂×Q₈	—	4	2	no	—
963	C₂×Q₈	—	4	2	no	—
964	C₂×Q₈	—	4	1	no	—
965	C₂×Q₈	—	4	1	no	—
966	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
967	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
968	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
969	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
970	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
971	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
972	C₂×D₄	—	2	1	no	—
973	C₂×D₄	—	2	1	no	—
974	C₂×D₄	—	2	1	no	—
975	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
976	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
977	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
978	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
979	C₂²×C₄	—	2	1	no	—
980	C₂²×C₄	—	2	2	no	—
981	C₂²×C₄	—	2	1	no	—
982	C₂²×C₄	—	2	1	no	—
983	C₂²×C₄	—	2	1	no	—
984	C₂²×C₄	—	2	1	no	—
985	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
986	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
987	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
988	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
989	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
990	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
991	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
992	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
993	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
994	Q₁₆	—	4	2	no	—
995	Q₁₆	—	4	2	no	—
996	Q₁₆	—	4	2	no	—
997	Q₁₆	—	4	2	no	—
998	Q₁₆	—	4	2	no	—
999	Q₁₆	—	4	2	no	—
1000	SD₁₆	—	4	2	no	—
1001	SD₁₆	—	4	2	no	—
1002	M₁₆	—	4	2	no	—
1003	C₂×C₈	—	4	2	no	—
1004	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1005	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1006	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1007	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1008	C₄⋊C₄	—	2	1	no	—
1009	C₄⋊C₄	—	2	1	no	—
1010	C₄⋊C₄	—	2	1	no	—
1011	C₄⋊C₄	—	2	1	no	—
1012	C₄⋊C₄	—	2	1	no	—
1013	C₄⋊C₄	—	2	1	no	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	1	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	1	no	—
1019	C₄⋊C₄	—	2	1	no	—
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	2	1	no	—
1022	C₄⋊C₄	—	2	1	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	1	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	1	no	—
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	1	no	—
1036	C₄⋊C₄	—	2	1	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	1	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1050	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1051	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1052	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1053	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1054	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1055	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1056	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1057	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1058	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1059	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1060	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	1	no	—
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	1	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	no	—
1069	C₂²⋊C₄	—	2	2	no	—
1070	C₂²⋊C₄	—	2	1	no	—
1071	C₂²⋊C₄	—	2	1	no	—
1072	C₂²⋊C₄	—	2	1	no	—
1073	C₂²⋊C₄	—	2	1	no	—
1074	C₂²⋊C₄	—	2	1	no	—
1075	C₂²⋊C₄	—	2	1	no	—
1076	C₂²⋊C₄	—	2	1	no	—
1077	C₂²⋊C₄	—	2	1	no	—
1078	C₂²⋊C₄	—	2	1	no	—
1079	C₂²⋊C₄	—	2	1	no	—
1080	C₂²⋊C₄	—	2	1	no	—
1081	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1082	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1083	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1084	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1085	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1086	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1087	C₄²	—	2	1	no	—
1088	C₄²	—	2	1	no	—
1089	C₄²	—	2	1	no	—
1090	C₄²	—	2	1	no	—
1091	C₄²	—	2	1	no	—
1092	C₄²	—	2	1	no	—
1093	C₄²	—	2	1	no	—
1094	C₄²	—	2	2	no	—
1095	C₄²	—	2	2	no	—
1096	C₄²	—	2	2	no	—
1097	C₄²	—	2	2	no	—
1098	C₄²	—	2	2	no	—
1099	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1100	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1101	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1102	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1103	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1104	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1105	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1106	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1107	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1108	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1109	C₂×C₇	—	4	1	no	—
1110	C₂×C₇	—	4	1	no	—
1111	C₂×C₇	—	4	1	no	—
1112	C₂×C₇	—	8	1	no	—
1113	C₂×C₇	#3449	1	1	yes	characteristic
1114	C₂×C₇	C₂×#578	1	1	yes	characteristic
1115	C₂×C₇	#3586	1	1	yes	characteristic
1116	C₂³	—	2	1	no	—
1117	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1118	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1119	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1120	Q₈	—	2	2	no	—
1121	Q₈	—	2	2	no	—
1122	Q₈	—	2	1	no	—
1123	Q₈	—	2	1	no	—
1124	Q₈	—	2	1	no	—
1125	Q₈	—	2	1	no	—
1126	Q₈	—	2	2	no	—
1127	Q₈	—	2	2	no	—
1128	Q₈	—	2	1	no	—
1129	Q₈	—	2	1	no	—
1130	Q₈	—	4	1	no	—
1131	Q₈	—	4	2	no	—
1132	Q₈	—	4	2	no	—
1133	Q₈	—	4	4	no	—
1134	Q₈	—	4	2	no	—
1135	Q₈	—	8	1	no	—
1136	Q₈	—	8	1	no	—
1137	D₄	—	2	1	no	—
1138	D₄	—	2	1	no	—
1139	D₄	—	4	1	no	—
1140	D₄	—	4	1	no	—
1141	D₄	—	4	1	no	—
1142	D₄	—	4	2	no	—
1143	D₄	—	8	1	no	—
1144	D₄	—	8	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	1	no	—
1168	C₂×C₄	—	4	2	no	—
1169	C₂×C₄	—	4	4	no	—
1170	C₂×C₄	—	4	2	no	—
1171	C₂×C₄	—	4	2	no	—
1172	C₂×C₄	—	8	1	no	—
1173	C₂×C₄	—	8	1	no	—
1174	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1175	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1176	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1177	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1178	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1179	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1180	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1181	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1182	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1183	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1184	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1185	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1186	C₈	—	2	2	no	—
1187	C₈	—	2	2	no	—
1188	C₈	—	2	2	no	—
1189	C₈	—	2	2	no	—
1190	C₇	#60995	1	1	yes	characteristic, direct product factor, Sylow
1191	C₂²	—	2	1	no	—
1192	C₂²	—	2	1	no	—
1193	C₂²	—	2	1	no	—
1194	C₂²	—	2	1	no	—
1195	C₂²	—	2	1	no	—
1196	C₂²	—	2	1	no	—
1197	C₂²	—	2	1	no	—
1198	C₂²	—	2	1	no	—
1199	C₂²	—	2	1	no	—
1200	C₂²	—	4	1	no	—
1201	C₂²	—	4	1	no	—
1202	C₂²	—	4	1	no	—
1203	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1204	C₄	—	2	1	no	—
1205	C₄	—	2	1	no	—
1206	C₄	—	2	1	no	—
1207	C₄	—	2	1	no	—
1208	C₄	—	2	1	no	—
1209	C₄	—	2	1	no	—
1210	C₄	—	2	1	no	—
1211	C₄	—	2	1	no	—
1212	C₄	—	2	1	no	—
1213	C₄	—	2	1	no	—
1214	C₄	—	4	1	no	—
1215	C₄	—	4	2	no	—
1216	C₄	—	4	1	no	—
1217	C₄	—	4	1	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	2	no	—
1220	C₄	—	4	1	no	—
1221	C₄	—	4	1	no	—
1222	C₄	—	4	1	no	—
1223	C₄	—	4	2	no	—
1224	C₄	—	4	2	no	—
1225	C₄	C₇×#578	1	2	yes	—
1226	C₄	C₇×#585	1	1	yes	characteristic
1227	C₄	C₇×#585	1	1	yes	characteristic
1228	C₂	—	4	1	no	—
1229	C₂	—	4	1	no	—
1230	C₂	—	4	1	no	—
1231	C₂	—	8	1	no	—
1232	C₂	C₇×#3449	1	1	yes	characteristic
1233	C₂	C₂×C₇×#578	1	1	yes	characteristic
1234	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×#537	C₂²
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×#3255	C₂	semidirect
4. C₇×#3252	C₂	semidirect
5. C₇×#3249	C₂	semidirect
6. C₇×#3248	C₂	semidirect
7. C₇×#3242	C₂	semidirect
8. C₇×#3237	C₂	semidirect
9. C₇×#3233	C₂	semidirect
10. C₇×#3223	C₂	semidirect
11. C₇×#3218	C₂	semidirect
12. C₇×#3209	C₂	semidirect
13. C₇×#3202	C₂	semidirect
15. C₇×#3178	C₂	semidirect
16. C₇×#3177	C₂	semidirect
17. C₇×#3127	C₂	semidirect
18. C₇×#3121	C₂	semidirect
19. C₇×#3116	C₂	semidirect
20. C₇×#3113	C₂	semidirect
21. C₇×#3107	C₂	semidirect
22. C₇×#3104	C₂	semidirect
23. C₇×#2925	C₂	semidirect
139. #60995	C₇	direct (N × H)
343. #3509	C₂×C₇	semidirect
345. #3255	C₂×C₇	semidirect
346. #3252	C₂×C₇	semidirect
347. #3249	C₂×C₇	semidirect
348. #3248	C₂×C₇	semidirect
349. #3242	C₂×C₇	semidirect
350. #3237	C₂×C₇	semidirect
351. #3233	C₂×C₇	semidirect
352. #3223	C₂×C₇	semidirect
353. #3218	C₂×C₇	semidirect
354. #3209	C₂×C₇	semidirect
355. #3202	C₂×C₇	semidirect
357. #3178	C₂×C₇	semidirect
358. #3177	C₂×C₇	semidirect
359. #3127	C₂×C₇	semidirect
360. #3121	C₂×C₇	semidirect
361. #3116	C₂×C₇	semidirect
362. #3113	C₂×C₇	semidirect
363. #3107	C₂×C₇	semidirect
364. #3104	C₂×C₇	semidirect
365. #2925	C₂×C₇	semidirect
1190. C₇	#60995	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×#3461	2
C₇×#3255	2
C₇×#3252	2
C₇×#3249	2
C₇×#3248	2
C₇×#3242	2
C₇×#3237	2
C₇×#3233	2
C₇×#3223	2
C₇×#3218	2
C₇×#3209	2
C₇×#3202	2
C₇×#3201	2
C₇×#3178	2
C₇×#3177	2
C₇×#3127	2
C₇×#3121	2
C₇×#3116	2
C₇×#3113	2
C₇×#3107	2
C₇×#3104	2
C₇×#2925	2
#60995	7

Subgroups — C7×#60995 #13238211

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60995 #13238211