Subgroups — C₇×#60990 #13238206

Order 1792.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3253	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3251	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3247	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3245	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3241	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×#3220	C₂	1	2	yes	maximal, complemented
11	C₇×#3217	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3205	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3199	C₂	1	2	yes	maximal, complemented
14	C₇×#3198	C₂	1	2	yes	maximal, complemented
15	C₇×#3179	C₂	1	2	yes	maximal, complemented
16	C₇×#3176	C₂	1	2	yes	maximal, complemented
17	C₇×#3122	C₂	1	2	yes	maximal, complemented
18	C₇×#3118	C₂	1	2	yes	maximal, complemented
19	C₇×#3115	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3109	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3106	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3100	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#559	—	2	1	no	—
25	C₇×#559	—	2	1	no	—
26	C₇×#550	—	2	1	no	—
27	C₇×#550	—	2	1	no	—
28	C₇×#546	—	2	1	no	—
29	C₇×#546	—	2	1	no	—
30	C₇×#546	—	2	1	no	—
31	C₇×#546	—	2	1	no	—
32	C₇×#544	C₂²	1	1	yes	characteristic, complemented
33	C₇×#542	—	2	1	no	—
34	C₇×#542	C₂²	1	1	yes	characteristic
35	C₇×#542	C₂²	1	1	yes	characteristic, complemented
36	C₇×#540	—	2	1	no	—
37	C₇×#540	C₂²	1	2	yes	—
38	C₇×#540	C₂²	1	1	yes	characteristic
39	C₇×#540	C₂²	1	1	yes	characteristic, complemented
40	C₇×#540	C₂²	1	2	yes	complemented
41	C₇×#538	—	2	1	no	—
42	C₇×#538	—	2	1	no	—
43	C₇×#537	C₂²	1	1	yes	characteristic
44	C₇×#535	C₂²	1	2	yes	—
45	C₇×#535	C₂²	1	1	yes	characteristic
46	C₇×#535	C₂²	1	1	yes	characteristic, complemented
47	C₇×#533	C₂²	1	1	yes	characteristic, complemented
48	C₇×#532	—	2	1	no	—
49	C₇×#532	C₂²	1	1	yes	characteristic
50	C₇×#532	C₂²	1	1	yes	characteristic
51	C₇×#532	C₂²	1	1	yes	characteristic
52	C₇×#532	C₂²	1	1	yes	characteristic, complemented
53	C₇×#532	C₂²	1	1	yes	characteristic, complemented
54	C₇×#532	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₇×#127	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, complemented
59	C₇×#525	—	2	1	no	—
60	C₇×#525	—	2	1	no	—
61	C₇×#518	C₂²	1	2	yes	complemented
62	C₄×C₇×#41	C₂²	1	1	yes	characteristic
63	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
65	C₇×#501	C₂²	1	2	yes	complemented
66	C₇×#499	C₂²	1	2	yes	complemented
67	C₇×#496	C₂²	1	2	yes	—
68	C₇×#493	C₂²	1	2	yes	—
69	C₇×#490	C₂²	1	2	yes	complemented
70	C₇×#490	C₂²	1	2	yes	complemented
71	C₇×#488	C₂²	1	2	yes	complemented
72	C₇×#486	C₂²	1	2	yes	complemented
73	C₇×#485	C₂²	1	2	yes	complemented
74	C₇×#482	C₂²	1	2	yes	—
75	C₇×#482	C₂²	1	2	yes	—
76	C₇×#482	C₂²	1	2	yes	complemented
77	C₇×#482	C₂²	1	2	yes	complemented
78	C₇×#482	C₂²	1	2	yes	complemented
79	C₇×#481	C₂²	1	2	yes	complemented
80	C₇×#480	C₂²	1	2	yes	complemented
81	C₇×#478	C₂²	1	2	yes	complemented
82	C₇×#478	C₂²	1	2	yes	complemented
83	C₇×#477	C₂²	1	1	yes	characteristic, complemented
84	C₇×#476	C₂²	1	1	yes	characteristic, complemented
85	C₇×#476	C₂²	1	1	yes	characteristic, complemented
86	C₇×#476	C₂²	1	1	yes	characteristic, complemented
87	C₇×#476	C₂²	1	2	yes	complemented
88	C₇×#475	C₂²	1	1	yes	characteristic, complemented
89	C₇×#474	C₂²	1	1	yes	characteristic, complemented
90	C₇×#474	C₂²	1	1	yes	characteristic, complemented
91	C₇×#474	C₂²	1	1	yes	characteristic, complemented
92	C₇×#474	C₂²	1	2	yes	complemented
93	C₇×#469	C₂²	1	2	yes	complemented
94	C₇×#469	C₂²	1	2	yes	complemented
95	C₇×#469	C₂²	1	2	yes	complemented
96	C₇×#468	C₂²	1	2	yes	complemented
97	C₇×#466	C₂²	1	2	yes	complemented
98	C₇×#466	C₂²	1	2	yes	complemented
99	C₇×#466	C₂²	1	2	yes	complemented
100	C₇×#465	C₂²	1	2	yes	complemented
101	C₇×#463	C₂²	1	2	yes	complemented
102	C₇×#463	C₂²	1	2	yes	complemented
103	C₇×#460	C₂²	1	1	yes	characteristic, complemented
104	C₇×#460	C₂²	1	1	yes	characteristic, complemented
105	C₇×#459	C₂²	1	1	yes	characteristic
106	C₇×#459	C₂²	1	1	yes	characteristic
107	C₇×#459	C₂²	1	1	yes	characteristic
108	C₇×#459	C₂²	1	1	yes	characteristic
109	C₇×#459	C₂²	1	1	yes	characteristic, complemented
110	C₇×#459	C₂²	1	1	yes	characteristic, complemented
111	C₇×#459	C₂²	1	2	yes	complemented
112	C₇×#459	C₂²	1	2	yes	complemented
113	C₇×#450	C₂²	1	2	yes	complemented
114	C₇×#449	C₂²	1	2	yes	complemented
115	C₇×#449	C₂²	1	2	yes	complemented
116	C₇×#447	C₂²	1	2	yes	—
117	C₇×#447	C₂²	1	2	yes	—
118	C₇×#447	C₂²	1	2	yes	complemented
119	C₇×#447	C₂²	1	2	yes	complemented
120	C₇×#447	C₂²	1	2	yes	complemented
121	C₇×#442	C₂²	1	2	yes	complemented
122	C₇×#442	C₂²	1	2	yes	complemented
123	C₇×#442	C₂²	1	2	yes	complemented
124	C₇×#440	C₂²	1	2	yes	complemented
125	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
126	C₄×C₇×D₈	C₂²	1	2	yes	complemented
127	C₄×C₇×D₈	C₂²	1	2	yes	complemented
128	C₄×C₇×D₈	C₂²	1	2	yes	complemented
129	C₇×#433	C₂²	1	2	yes	complemented
130	C₇×#433	C₂²	1	2	yes	complemented
131	C₇×#432	C₂²	1	1	yes	characteristic, complemented
132	C₇×#432	C₂²	1	1	yes	characteristic, complemented
133	C₇×#431	C₂²	1	1	yes	characteristic, complemented
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	#60990	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	—	2	1	no	—
143	C₂×C₇×#41	—	2	1	no	—
144	C₂×C₇×#41	—	2	1	no	—
145	C₂×C₇×#41	—	2	1	no	—
146	C₂×C₇×#41	C₂³	1	1	yes	characteristic
147	C₂×C₇×#41	C₂³	1	1	yes	characteristic
148	C₂²×C₇×D₄	—	2	1	no	—
149	C₂²×C₇×D₄	—	2	1	no	—
150	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
151	C₂²×C₇×D₄	C₂³	1	2	yes	—
152	C₂³×C₄×C₇	—	2	1	no	—
153	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₇×D₈	C₂³	1	2	yes	—
156	C₂×C₇×D₈	C₂³	1	2	yes	—
157	C₂×C₇×D₈	C₂³	1	2	yes	—
158	C₂×C₇×D₈	C₂³	1	2	yes	—
159	C₂×C₇×D₈	C₂³	1	2	yes	—
160	C₂×C₇×D₈	C₂³	1	2	yes	—
161	C₂×C₇×M₁₆	C₂³	1	2	yes	—
162	C₂²×C₇×C₈	C₂³	1	2	yes	—
163	C₇×C₄⋊Q₈	—	2	1	no	—
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	—	2	2	no	—
170	C₇×#127	—	2	1	no	—
171	C₇×#127	—	2	1	no	—
172	C₇×#127	C₂³	1	2	yes	—
173	C₇×#127	C₂³	1	1	yes	characteristic
174	C₇×#127	C₂³	1	1	yes	characteristic
175	C₇×#127	C₂³	1	1	yes	characteristic
176	C₇×#127	C₂³	1	1	yes	characteristic
177	C₇×#126	—	2	1	no	—
178	C₇×#126	—	2	1	no	—
179	C₇×#126	—	2	1	no	—
180	C₇×#126	—	2	1	no	—
181	C₇×#125	—	2	1	no	—
182	C₇×#125	C₂³	1	1	yes	characteristic
183	C₇×#125	C₂³	1	2	yes	—
184	C₇×#125	C₂³	1	1	yes	characteristic
185	C₇×#124	—	2	1	no	—
186	C₇×#124	—	2	2	no	—
187	C₇×#124	—	2	1	no	—
188	C₇×#124	—	2	1	no	—
189	C₇×#124	—	2	1	no	—
190	C₇×#124	—	2	1	no	—
191	C₇×#124	—	2	1	no	—
192	C₇×#124	—	2	1	no	—
193	C₇×#124	—	2	1	no	—
194	C₇×#124	—	2	1	no	—
195	C₇×#124	C₂³	1	1	yes	characteristic
196	C₇×#124	C₂³	1	1	yes	characteristic
197	C₇×#123	—	2	1	no	—
198	C₇×#123	—	2	1	no	—
199	C₇×#123	—	2	1	no	—
200	C₇×#123	—	2	1	no	—
201	C₇×#123	—	2	1	no	—
202	C₇×#123	—	2	1	no	—
203	C₇×#123	—	2	2	no	—
204	C₇×#123	—	2	2	no	—
205	C₇×#123	—	2	2	no	—
206	C₇×#123	—	2	2	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	C₂³	1	1	yes	characteristic
217	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₇×#121	—	2	1	no	—
219	C₇×#121	—	2	1	no	—
220	C₇×#121	—	2	1	no	—
221	C₇×#121	—	2	1	no	—
222	C₇×#121	—	2	1	no	—
223	C₇×#121	—	2	1	no	—
224	C₇×#121	—	2	1	no	—
225	C₇×#121	—	2	1	no	—
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	2	no	—
234	C₇×#121	—	2	2	no	—
235	C₇×#121	—	2	2	no	—
236	C₇×#121	—	2	2	no	—
237	C₇×#121	C₂³	1	2	yes	—
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	2	yes	—
242	C₇×#121	C₂³	1	2	yes	—
243	C₇×#121	C₂³	1	2	yes	—
244	C₇×#121	C₂³	1	1	yes	characteristic
245	C₇×#121	C₂³	1	1	yes	characteristic
246	C₇×#121	C₂³	1	1	yes	characteristic
247	C₇×#120	—	2	1	no	—
248	C₇×#120	—	2	1	no	—
249	C₇×#120	—	2	2	no	—
250	C₇×#120	—	2	2	no	—
251	C₇×#120	—	2	1	no	—
252	C₇×#120	—	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	1	yes	characteristic
259	C₄×C₇×D₄	—	2	1	no	—
260	C₄×C₇×D₄	—	2	1	no	—
261	C₄×C₇×D₄	—	2	1	no	—
262	C₄×C₇×D₄	—	2	1	no	—
263	C₄×C₇×D₄	—	2	2	no	—
264	C₄×C₇×D₄	—	2	2	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	—	2	1	no	—
272	C₄×C₇×D₄	—	2	1	no	—
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	D₄	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	2	yes	—
283	C₄×C₇×D₄	C₂³	1	2	yes	—
284	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
285	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
286	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
287	C₄×C₇×D₄	C₂³	1	2	yes	—
288	C₄×C₇×D₄	C₂³	1	2	yes	—
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	C₂³	1	1	yes	characteristic
298	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
300	C₂×C₇×C₂²⋊C₄	—	2	2	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	2	yes	—
317	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₇×C₄⋊C₈	C₂³	1	2	yes	—
319	C₇×#103	C₂³	1	2	yes	—
320	C₇×#103	C₂³	1	2	yes	—
321	C₇×#102	C₂³	1	2	yes	—
322	C₇×#102	C₂³	1	2	yes	—
323	C₇×#102	C₂³	1	2	yes	—
324	C₇×#102	C₂³	1	2	yes	—
325	C₇×#102	C₂³	1	2	yes	—
326	C₇×#102	C₂³	1	2	yes	—
327	C₇×#102	C₂³	1	2	yes	—
328	C₇×#102	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	#3508	C₂×C₇	1	1	yes	characteristic, complemented
344	#3460	C₂×C₇	1	1	yes	characteristic, complemented
345	#3253	C₂×C₇	1	1	yes	characteristic, complemented
346	#3251	C₂×C₇	1	1	yes	characteristic, complemented
347	#3247	C₂×C₇	1	1	yes	characteristic, complemented
348	#3245	C₂×C₇	1	1	yes	characteristic, complemented
349	#3241	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	#3220	C₂×C₇	1	2	yes	complemented
353	#3217	C₂×C₇	1	1	yes	characteristic, complemented
354	#3205	C₂×C₇	1	1	yes	characteristic, complemented
355	#3199	C₂×C₇	1	2	yes	complemented
356	#3198	C₂×C₇	1	2	yes	complemented
357	#3179	C₂×C₇	1	2	yes	complemented
358	#3176	C₂×C₇	1	2	yes	complemented
359	#3122	C₂×C₇	1	2	yes	complemented
360	#3118	C₂×C₇	1	2	yes	complemented
361	#3115	C₂×C₇	1	1	yes	characteristic, complemented
362	#3109	C₂×C₇	1	1	yes	characteristic, complemented
363	#3106	C₂×C₇	1	1	yes	characteristic, complemented
364	#3100	C₂×C₇	1	1	yes	characteristic, complemented
365	#2925	C₂×C₇	1	1	yes	characteristic, complemented
366	C₂⁴×C₇	—	2	2	no	—
367	C₂⁴×C₇	—	2	1	no	—
368	C₇×#41	—	4	1	no	—
369	C₇×#41	—	4	1	no	—
370	C₇×#41	—	4	1	no	—
371	C₇×#41	—	4	1	no	—
372	C₇×#41	—	8	2	no	—
373	C₇×#41	—	8	2	no	—
374	C₇×#41	—	8	2	no	—
375	C₇×#41	—	8	2	no	—
376	C₇×#41	—	8	2	no	—
377	C₇×#41	—	8	2	no	—
378	C₂×C₇×Q₈	—	2	1	no	—
379	C₂×C₇×Q₈	—	2	1	no	—
380	C₂×C₇×Q₈	—	2	1	no	—
381	C₂×C₇×Q₈	—	2	1	no	—
382	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
383	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
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	2	no	—
388	C₂×C₇×D₄	—	2	2	no	—
389	C₂×C₇×D₄	—	2	2	no	—
390	C₂×C₇×D₄	—	2	2	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	—	2	2	no	—
397	C₂×C₇×D₄	—	2	1	no	—
398	C₂×C₇×D₄	—	2	1	no	—
399	C₂×C₇×D₄	—	2	1	no	—
400	C₂×C₇×D₄	—	2	1	no	—
401	C₂×C₇×D₄	—	2	1	no	—
402	C₂×C₇×D₄	—	2	1	no	—
403	C₂×C₇×D₄	—	2	1	no	—
404	C₂×C₇×D₄	—	2	1	no	—
405	C₂×C₇×D₄	—	2	2	no	—
406	C₂×C₇×D₄	—	2	2	no	—
407	C₂×C₇×D₄	—	4	2	no	—
408	C₂×C₇×D₄	—	4	2	no	—
409	C₂×C₇×D₄	—	4	1	no	—
410	C₂×C₇×D₄	—	4	1	no	—
411	C₂×C₇×D₄	—	8	2	no	—
412	C₂×C₇×D₄	—	8	2	no	—
413	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
414	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
415	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
416	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
417	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
418	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
419	C₂×C₇×D₄	C₂⁴	1	2	yes	—
420	C₂×C₇×D₄	C₂⁴	1	2	yes	—
421	C₂²×C₄×C₇	—	2	1	no	—
422	C₂²×C₄×C₇	—	2	1	no	—
423	C₂²×C₄×C₇	—	2	1	no	—
424	C₂²×C₄×C₇	—	2	1	no	—
425	C₂²×C₄×C₇	—	2	1	no	—
426	C₂²×C₄×C₇	—	2	1	no	—
427	C₂²×C₄×C₇	—	2	2	no	—
428	C₂²×C₄×C₇	—	2	2	no	—
429	C₂²×C₄×C₇	—	2	2	no	—
430	C₂²×C₄×C₇	—	2	2	no	—
431	C₂²×C₄×C₇	—	2	1	no	—
432	C₂²×C₄×C₇	—	2	1	no	—
433	C₂²×C₄×C₇	—	8	2	no	—
434	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
436	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
437	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
438	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
439	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
440	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
443	C₇×SD₁₆	—	4	2	no	—
444	C₇×SD₁₆	—	4	2	no	—
445	C₇×D₈	—	4	2	no	—
446	C₇×D₈	—	4	2	no	—
447	C₇×D₈	—	4	2	no	—
448	C₇×D₈	—	4	2	no	—
449	C₇×D₈	—	4	2	no	—
450	C₇×D₈	—	4	2	no	—
451	C₇×M₁₆	—	4	2	no	—
452	C₂×C₇×C₈	—	4	2	no	—
453	C₂×C₇×C₈	C₂⁴	1	2	yes	—
454	C₂×C₇×C₈	C₂⁴	1	2	yes	—
455	C₂×C₇×C₈	C₂⁴	1	2	yes	—
456	C₂×C₇×C₈	C₂⁴	1	2	yes	—
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	1	no	—
461	C₇×C₄⋊C₄	—	2	1	no	—
462	C₇×C₄⋊C₄	—	2	1	no	—
463	C₇×C₄⋊C₄	—	2	1	no	—
464	C₇×C₄⋊C₄	—	2	1	no	—
465	C₇×C₄⋊C₄	—	2	1	no	—
466	C₇×C₄⋊C₄	—	2	1	no	—
467	C₇×C₄⋊C₄	—	2	1	no	—
468	C₇×C₄⋊C₄	—	2	1	no	—
469	C₇×C₄⋊C₄	—	2	1	no	—
470	C₇×C₄⋊C₄	—	2	2	no	—
471	C₇×C₄⋊C₄	—	2	2	no	—
472	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
473	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
474	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
475	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
476	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
477	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
478	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
479	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
480	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
481	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
482	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
483	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
484	C₇×C₂²⋊C₄	—	2	2	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	2	no	—
489	C₇×C₂²⋊C₄	—	2	2	no	—
490	C₇×C₂²⋊C₄	—	2	2	no	—
491	C₇×C₂²⋊C₄	—	2	2	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	—	2	1	no	—
503	C₇×C₂²⋊C₄	—	2	1	no	—
504	C₇×C₂²⋊C₄	—	2	1	no	—
505	C₇×C₂²⋊C₄	—	2	1	no	—
506	C₇×C₂²⋊C₄	—	2	2	no	—
507	C₇×C₂²⋊C₄	—	2	2	no	—
508	C₇×C₂²⋊C₄	—	2	2	no	—
509	C₇×C₂²⋊C₄	—	2	2	no	—
510	C₇×C₂²⋊C₄	—	2	1	no	—
511	C₇×C₂²⋊C₄	—	2	1	no	—
512	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
513	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
514	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
515	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
516	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
517	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
518	C₄²×C₇	—	2	1	no	—
519	C₄²×C₇	—	2	1	no	—
520	C₄²×C₇	—	2	1	no	—
521	C₄²×C₇	—	2	2	no	—
522	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
523	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
524	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
525	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
526	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
527	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
528	C₄²×C₇	C₂⁴	1	1	yes	characteristic
529	C₄²×C₇	C₂⁴	1	1	yes	characteristic
530	C₄²×C₇	C₂⁴	1	1	yes	characteristic
531	C₄²×C₇	C₂⁴	1	1	yes	characteristic
532	#559	—	2	1	no	—
533	#559	—	2	1	no	—
534	#550	—	2	1	no	—
535	#550	—	2	1	no	—
536	#546	—	2	1	no	—
537	#546	—	2	1	no	—
538	#546	—	2	1	no	—
539	#546	—	2	1	no	—
540	#544	C₂²×C₇	1	1	yes	characteristic, complemented
541	#542	—	2	1	no	—
542	#542	C₂²×C₇	1	1	yes	characteristic
543	#542	C₂²×C₇	1	1	yes	characteristic, complemented
544	#540	—	2	1	no	—
545	#540	C₂²×C₇	1	1	yes	characteristic
546	#540	C₂²×C₇	1	2	yes	—
547	#540	C₂²×C₇	1	1	yes	characteristic, complemented
548	#540	C₂²×C₇	1	2	yes	complemented
549	#538	—	2	1	no	—
550	#538	—	2	1	no	—
551	#537	C₂²×C₇	1	1	yes	characteristic
552	#535	C₂²×C₇	1	2	yes	—
553	#535	C₂²×C₇	1	1	yes	characteristic
554	#535	C₂²×C₇	1	1	yes	characteristic, complemented
555	#533	C₂²×C₇	1	1	yes	characteristic, complemented
556	#532	—	2	1	no	—
557	#532	C₂²×C₇	1	1	yes	characteristic
558	#532	C₂²×C₇	1	1	yes	characteristic
559	#532	C₂²×C₇	1	1	yes	characteristic
560	#532	C₂²×C₇	1	1	yes	characteristic, complemented
561	#532	C₂²×C₇	1	1	yes	characteristic, complemented
562	#532	C₂²×C₇	1	1	yes	characteristic, complemented
563	C₂×#127	C₂²×C₇	1	1	yes	characteristic, complemented
564	#529	—	2	1	no	—
565	#529	C₂²×C₇	1	1	yes	characteristic
566	#529	C₂²×C₇	1	1	yes	characteristic, complemented
567	#525	—	2	1	no	—
568	#525	—	2	1	no	—
569	#518	C₂²×C₇	1	2	yes	complemented
570	C₄×#41	C₂²×C₇	1	1	yes	characteristic
571	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
572	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
573	#501	C₂²×C₇	1	2	yes	complemented
574	#499	C₂²×C₇	1	2	yes	complemented
575	#496	C₂²×C₇	1	2	yes	—
576	#493	C₂²×C₇	1	2	yes	—
577	#490	C₂²×C₇	1	2	yes	complemented
578	#490	C₂²×C₇	1	2	yes	complemented
579	#488	C₂²×C₇	1	2	yes	complemented
580	#486	C₂²×C₇	1	2	yes	complemented
581	#485	C₂²×C₇	1	2	yes	complemented
582	#482	C₂²×C₇	1	2	yes	—
583	#482	C₂²×C₇	1	2	yes	—
584	#482	C₂²×C₇	1	2	yes	complemented
585	#482	C₂²×C₇	1	2	yes	complemented
586	#482	C₂²×C₇	1	2	yes	complemented
587	#481	C₂²×C₇	1	2	yes	complemented
588	#480	C₂²×C₇	1	2	yes	complemented
589	#478	C₂²×C₇	1	2	yes	complemented
590	#478	C₂²×C₇	1	2	yes	complemented
591	#477	C₂²×C₇	1	1	yes	characteristic, complemented
592	#476	C₂²×C₇	1	1	yes	characteristic, complemented
593	#476	C₂²×C₇	1	1	yes	characteristic, complemented
594	#476	C₂²×C₇	1	1	yes	characteristic, complemented
595	#476	C₂²×C₇	1	2	yes	complemented
596	#475	C₂²×C₇	1	1	yes	characteristic, complemented
597	#474	C₂²×C₇	1	1	yes	characteristic, complemented
598	#474	C₂²×C₇	1	1	yes	characteristic, complemented
599	#474	C₂²×C₇	1	1	yes	characteristic, complemented
600	#474	C₂²×C₇	1	2	yes	complemented
601	#469	C₂²×C₇	1	2	yes	complemented
602	#469	C₂²×C₇	1	2	yes	complemented
603	#469	C₂²×C₇	1	2	yes	complemented
604	#468	C₂²×C₇	1	2	yes	complemented
605	#466	C₂²×C₇	1	2	yes	complemented
606	#466	C₂²×C₇	1	2	yes	complemented
607	#466	C₂²×C₇	1	2	yes	complemented
608	#465	C₂²×C₇	1	2	yes	complemented
609	#463	C₂²×C₇	1	2	yes	complemented
610	#463	C₂²×C₇	1	2	yes	complemented
611	#460	C₂²×C₇	1	1	yes	characteristic, complemented
612	#460	C₂²×C₇	1	1	yes	characteristic, complemented
613	#459	C₂²×C₇	1	1	yes	characteristic
614	#459	C₂²×C₇	1	1	yes	characteristic
615	#459	C₂²×C₇	1	1	yes	characteristic
616	#459	C₂²×C₇	1	1	yes	characteristic
617	#459	C₂²×C₇	1	1	yes	characteristic, complemented
618	#459	C₂²×C₇	1	1	yes	characteristic, complemented
619	#459	C₂²×C₇	1	2	yes	complemented
620	#459	C₂²×C₇	1	2	yes	complemented
621	#450	C₂²×C₇	1	2	yes	complemented
622	#449	C₂²×C₇	1	2	yes	complemented
623	#449	C₂²×C₇	1	2	yes	complemented
624	#447	C₂²×C₇	1	2	yes	—
625	#447	C₂²×C₇	1	2	yes	—
626	#447	C₂²×C₇	1	2	yes	complemented
627	#447	C₂²×C₇	1	2	yes	complemented
628	#447	C₂²×C₇	1	2	yes	complemented
629	#442	C₂²×C₇	1	2	yes	complemented
630	#442	C₂²×C₇	1	2	yes	complemented
631	#442	C₂²×C₇	1	2	yes	complemented
632	#440	C₂²×C₇	1	2	yes	complemented
633	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
634	C₄×D₈	C₂²×C₇	1	2	yes	complemented
635	C₄×D₈	C₂²×C₇	1	2	yes	complemented
636	C₄×D₈	C₂²×C₇	1	2	yes	complemented
637	#433	C₂²×C₇	1	2	yes	complemented
638	#433	C₂²×C₇	1	2	yes	complemented
639	#432	C₂²×C₇	1	1	yes	characteristic, complemented
640	#432	C₂²×C₇	1	1	yes	characteristic, complemented
641	#431	C₂²×C₇	1	1	yes	characteristic, complemented
642	#431	C₂²×C₇	1	1	yes	characteristic, complemented
643	#423	C₂²×C₇	1	1	yes	characteristic, complemented
644	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
645	#408	C₂²×C₇	1	2	yes	—
646	#405	C₂²×C₇	1	2	yes	complemented
647	C₂³×C₇	—	2	1	no	—
648	C₂³×C₇	—	2	1	no	—
649	C₂³×C₇	—	2	1	no	—
650	C₂³×C₇	—	2	2	no	—
651	C₂³×C₇	—	2	2	no	—
652	C₂³×C₇	—	4	2	no	—
653	C₂³×C₇	—	4	4	no	—
654	C₂³×C₇	—	8	1	no	—
655	C₂³×C₇	—	8	1	no	—
656	C₂³×C₇	—	8	2	no	—
657	C₂³×C₇	—	8	2	no	—
658	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
659	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
660	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
661	C₇×Q₈	—	2	1	no	—
662	C₇×Q₈	—	2	1	no	—
663	C₇×Q₈	—	4	1	no	—
664	C₇×Q₈	—	4	2	no	—
665	C₇×Q₈	—	4	2	no	—
666	C₇×Q₈	—	8	1	no	—
667	C₇×Q₈	—	8	1	no	—
668	C₇×D₄	—	2	1	no	—
669	C₇×D₄	—	2	1	no	—
670	C₇×D₄	—	2	1	no	—
671	C₇×D₄	—	2	1	no	—
672	C₇×D₄	—	2	2	no	—
673	C₇×D₄	—	2	2	no	—
674	C₇×D₄	—	2	1	no	—
675	C₇×D₄	—	2	1	no	—
676	C₇×D₄	—	2	2	no	—
677	C₇×D₄	—	2	2	no	—
678	C₇×D₄	—	4	1	no	—
679	C₇×D₄	—	4	1	no	—
680	C₇×D₄	—	4	1	no	—
681	C₇×D₄	—	4	2	no	—
682	C₇×D₄	—	4	4	no	—
683	C₇×D₄	—	4	2	no	—
684	C₇×D₄	—	4	2	no	—
685	C₇×D₄	—	4	2	no	—
686	C₇×D₄	—	4	2	no	—
687	C₇×D₄	—	4	2	no	—
688	C₇×D₄	—	8	1	no	—
689	C₇×D₄	—	8	1	no	—
690	C₇×D₄	—	8	2	no	—
691	C₇×D₄	—	8	2	no	—
692	C₇×D₄	—	8	1	no	—
693	C₇×D₄	—	8	1	no	—
694	C₇×D₄	—	8	1	no	—
695	C₇×D₄	—	8	1	no	—
696	C₇×D₄	—	8	2	no	—
697	C₇×D₄	—	8	2	no	—
698	C₇×D₄	—	8	1	no	—
699	C₇×D₄	—	8	1	no	—
700	C₇×D₄	—	8	1	no	—
701	C₇×D₄	—	8	1	no	—
702	C₇×D₄	—	8	2	no	—
703	C₇×D₄	—	8	2	no	—
704	C₂×C₄×C₇	—	2	2	no	—
705	C₂×C₄×C₇	—	2	2	no	—
706	C₂×C₄×C₇	—	2	2	no	—
707	C₂×C₄×C₇	—	2	1	no	—
708	C₂×C₄×C₇	—	2	1	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	2	1	no	—
716	C₂×C₄×C₇	—	2	2	no	—
717	C₂×C₄×C₇	—	2	2	no	—
718	C₂×C₄×C₇	—	2	1	no	—
719	C₂×C₄×C₇	—	2	1	no	—
720	C₂×C₄×C₇	—	4	1	no	—
721	C₂×C₄×C₇	—	4	1	no	—
722	C₂×C₄×C₇	—	4	1	no	—
723	C₂×C₄×C₇	—	4	2	no	—
724	C₂×C₄×C₇	—	4	2	no	—
725	C₂×C₄×C₇	—	4	2	no	—
726	C₂×C₄×C₇	—	4	2	no	—
727	C₂×C₄×C₇	—	8	1	no	—
728	C₂×C₄×C₇	—	8	1	no	—
729	C₂×C₄×C₇	—	8	1	no	—
730	C₂×C₄×C₇	—	8	2	no	—
731	C₂×C₄×C₇	—	8	2	no	—
732	C₂×C₄×C₇	—	8	2	no	—
733	C₂×C₄×C₇	—	8	2	no	—
734	C₂×C₄×C₇	—	8	1	no	—
735	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
736	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
737	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
738	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
739	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
740	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
741	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
742	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
743	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
744	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
745	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
746	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
747	C₇×C₈	—	2	2	no	—
748	C₇×C₈	—	2	2	no	—
749	C₇×C₈	—	2	2	no	—
750	C₇×C₈	—	2	2	no	—
751	C₂×#41	—	2	1	no	—
752	C₂×#41	—	2	1	no	—
753	C₂×#41	—	2	1	no	—
754	C₂×#41	—	2	1	no	—
755	C₂×#41	—	2	1	no	—
756	C₂×#41	—	2	1	no	—
757	C₂×#41	C₂³×C₇	1	1	yes	characteristic
758	C₂×#41	C₂³×C₇	1	1	yes	characteristic
759	C₂²×D₄	—	2	1	no	—
760	C₂²×D₄	—	2	1	no	—
761	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
762	C₂²×D₄	C₂³×C₇	1	2	yes	—
763	C₂³×C₄	—	2	1	no	—
764	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
765	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
766	C₂×D₈	C₂³×C₇	1	2	yes	—
767	C₂×D₈	C₂³×C₇	1	2	yes	—
768	C₂×D₈	C₂³×C₇	1	2	yes	—
769	C₂×D₈	C₂³×C₇	1	2	yes	—
770	C₂×D₈	C₂³×C₇	1	2	yes	—
771	C₂×D₈	C₂³×C₇	1	2	yes	—
772	C₂×M₁₆	C₂³×C₇	1	2	yes	—
773	C₂²×C₈	C₂³×C₇	1	2	yes	—
774	C₄⋊Q₈	—	2	1	no	—
775	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
776	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
777	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
778	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
779	#127	—	2	1	no	—
780	#127	—	2	2	no	—
781	#127	—	2	1	no	—
782	#127	—	2	1	no	—
783	#127	C₂³×C₇	1	1	yes	characteristic
784	#127	C₂³×C₇	1	1	yes	characteristic
785	#127	C₂³×C₇	1	2	yes	—
786	#127	C₂³×C₇	1	1	yes	characteristic
787	#127	C₂³×C₇	1	1	yes	characteristic
788	#126	—	2	1	no	—
789	#126	—	2	1	no	—
790	#126	—	2	1	no	—
791	#126	—	2	1	no	—
792	#125	—	2	1	no	—
793	#125	C₂³×C₇	1	1	yes	characteristic
794	#125	C₂³×C₇	1	1	yes	characteristic
795	#125	C₂³×C₇	1	2	yes	—
796	#124	—	2	1	no	—
797	#124	—	2	2	no	—
798	#124	—	2	1	no	—
799	#124	—	2	1	no	—
800	#124	—	2	1	no	—
801	#124	—	2	1	no	—
802	#124	—	2	1	no	—
803	#124	—	2	1	no	—
804	#124	—	2	1	no	—
805	#124	—	2	1	no	—
806	#124	C₂³×C₇	1	1	yes	characteristic
807	#124	C₂³×C₇	1	1	yes	characteristic
808	#123	—	2	1	no	—
809	#123	—	2	1	no	—
810	#123	—	2	1	no	—
811	#123	—	2	1	no	—
812	#123	—	2	1	no	—
813	#123	—	2	1	no	—
814	#123	—	2	2	no	—
815	#123	—	2	2	no	—
816	#123	—	2	2	no	—
817	#123	—	2	2	no	—
818	#123	—	2	1	no	—
819	#123	—	2	1	no	—
820	C₂²⋊Q₈	—	2	1	no	—
821	C₂²⋊Q₈	—	2	1	no	—
822	C₂²⋊Q₈	—	2	1	no	—
823	C₂²⋊Q₈	—	2	1	no	—
824	C₂²⋊Q₈	—	2	1	no	—
825	C₂²⋊Q₈	—	2	1	no	—
826	C₂²⋊Q₈	—	2	1	no	—
827	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
828	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	—	2	1	no	—
833	#121	—	2	1	no	—
834	#121	—	2	1	no	—
835	#121	—	2	1	no	—
836	#121	—	2	1	no	—
837	#121	—	2	1	no	—
838	#121	—	2	1	no	—
839	#121	—	2	1	no	—
840	#121	—	2	1	no	—
841	#121	—	2	1	no	—
842	#121	—	2	1	no	—
843	#121	—	2	1	no	—
844	#121	—	2	2	no	—
845	#121	—	2	2	no	—
846	#121	—	2	2	no	—
847	#121	—	2	2	no	—
848	#121	C₂³×C₇	1	1	yes	characteristic
849	#121	C₂³×C₇	1	1	yes	characteristic
850	#121	C₂³×C₇	1	2	yes	—
851	#121	C₂³×C₇	1	2	yes	—
852	#121	C₂³×C₇	1	1	yes	characteristic
853	#121	C₂³×C₇	1	1	yes	characteristic
854	#121	C₂³×C₇	1	2	yes	—
855	#121	C₂³×C₇	1	2	yes	—
856	#121	C₂³×C₇	1	1	yes	characteristic
857	#121	C₂³×C₇	1	1	yes	characteristic
858	#120	—	2	1	no	—
859	#120	—	2	1	no	—
860	#120	—	2	2	no	—
861	#120	—	2	2	no	—
862	#120	—	2	1	no	—
863	#120	—	2	1	no	—
864	C₄×Q₈	—	2	1	no	—
865	C₄×Q₈	—	2	1	no	—
866	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
867	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
868	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
869	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	2	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	2	no	—
875	C₄×D₄	—	2	2	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	2	1	no	—
878	C₄×D₄	—	2	1	no	—
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	—	2	1	no	—
882	C₄×D₄	—	2	1	no	—
883	C₄×D₄	—	2	1	no	—
884	C₄×D₄	C₇×D₄	1	1	yes	characteristic
885	C₄×D₄	C₇×D₄	1	1	yes	characteristic
886	C₄×D₄	C₇×D₄	1	1	yes	characteristic
887	C₄×D₄	C₇×D₄	1	1	yes	characteristic
888	C₄×D₄	C₇×D₄	1	1	yes	characteristic
889	C₄×D₄	C₇×D₄	1	1	yes	characteristic
890	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
891	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
892	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
893	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
894	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
895	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
896	C₄×D₄	C₂³×C₇	1	2	yes	—
897	C₄×D₄	C₂³×C₇	1	2	yes	—
898	C₄×D₄	C₂³×C₇	1	2	yes	—
899	C₄×D₄	C₂³×C₇	1	2	yes	—
900	#117	—	2	1	no	—
901	#117	—	2	1	no	—
902	#117	—	2	1	no	—
903	#117	C₂³×C₇	1	1	yes	characteristic
904	#117	C₂³×C₇	1	2	yes	—
905	#117	C₂³×C₇	1	1	yes	characteristic
906	#117	C₂³×C₇	1	1	yes	characteristic
907	#117	C₂³×C₇	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	—	2	1	no	—
910	C₂×C₂²⋊C₄	—	2	2	no	—
911	C₂×C₂²⋊C₄	—	2	2	no	—
912	C₂×C₄²	—	2	1	no	—
913	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
914	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
915	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
916	#107	C₂³×C₇	1	2	yes	—
917	#107	C₂³×C₇	1	2	yes	—
918	#107	C₂³×C₇	1	2	yes	—
919	#107	C₂³×C₇	1	2	yes	—
920	#106	C₂³×C₇	1	2	yes	—
921	#106	C₂³×C₇	1	2	yes	—
922	#106	C₂³×C₇	1	2	yes	—
923	#106	C₂³×C₇	1	2	yes	—
924	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
925	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
926	C₄⋊C₈	C₂³×C₇	1	2	yes	—
927	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
928	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
929	C₄⋊C₈	C₂³×C₇	1	2	yes	—
930	#103	C₂³×C₇	1	2	yes	—
931	#103	C₂³×C₇	1	2	yes	—
932	#102	C₂³×C₇	1	2	yes	—
933	#102	C₂³×C₇	1	2	yes	—
934	#102	C₂³×C₇	1	2	yes	—
935	#102	C₂³×C₇	1	2	yes	—
936	#102	C₂³×C₇	1	2	yes	—
937	#102	C₂³×C₇	1	2	yes	—
938	#102	C₂³×C₇	1	2	yes	—
939	#102	C₂³×C₇	1	2	yes	—
940	#102	C₂³×C₇	1	2	yes	—
941	#102	C₂³×C₇	1	2	yes	—
942	#102	C₂³×C₇	1	2	yes	—
943	#102	C₂³×C₇	1	2	yes	—
944	#102	C₂³×C₇	1	2	yes	—
945	#102	C₂³×C₇	1	2	yes	—
946	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
947	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
948	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
949	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
950	#97	C₂³×C₇	1	2	yes	—
951	#97	C₂³×C₇	1	2	yes	—
952	C₄×C₈	C₂³×C₇	1	2	yes	—
953	C₄×C₈	C₂³×C₇	1	2	yes	—
954	C₂²×C₇	—	2	1	no	—
955	C₂²×C₇	—	2	1	no	—
956	C₂²×C₇	—	2	1	no	—
957	C₂²×C₇	—	2	1	no	—
958	C₂²×C₇	—	2	1	no	—
959	C₂²×C₇	—	2	1	no	—
960	C₂²×C₇	—	2	1	no	—
961	C₂²×C₇	—	2	1	no	—
962	C₂²×C₇	—	2	1	no	—
963	C₂²×C₇	—	4	2	no	—
964	C₂²×C₇	—	4	2	no	—
965	C₂²×C₇	—	4	1	no	—
966	C₂²×C₇	—	4	1	no	—
967	C₂²×C₇	—	4	1	no	—
968	C₂²×C₇	—	4	1	no	—
969	C₂²×C₇	—	4	1	no	—
970	C₂²×C₇	—	4	1	no	—
971	C₂²×C₇	—	4	2	no	—
972	C₂²×C₇	—	4	2	no	—
973	C₂²×C₇	—	4	1	no	—
974	C₂²×C₇	—	4	1	no	—
975	C₂²×C₇	—	4	1	no	—
976	C₂²×C₇	—	4	2	no	—
977	C₂²×C₇	—	4	2	no	—
978	C₂²×C₇	—	8	4	no	—
979	C₂²×C₇	—	16	4	no	—
980	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
981	C₄×C₇	—	2	1	no	—
982	C₄×C₇	—	2	1	no	—
983	C₄×C₇	—	2	1	no	—
984	C₄×C₇	—	2	1	no	—
985	C₄×C₇	—	2	1	no	—
986	C₄×C₇	—	2	1	no	—
987	C₄×C₇	—	2	1	no	—
988	C₄×C₇	—	2	1	no	—
989	C₄×C₇	—	2	1	no	—
990	C₄×C₇	—	2	1	no	—
991	C₄×C₇	—	4	2	no	—
992	C₄×C₇	—	4	1	no	—
993	C₄×C₇	—	4	1	no	—
994	C₄×C₇	—	4	1	no	—
995	C₄×C₇	—	4	1	no	—
996	C₄×C₇	—	4	1	no	—
997	C₄×C₇	—	4	2	no	—
998	C₄×C₇	#576	1	2	yes	—
999	C₄×C₇	#585	1	1	yes	characteristic
1000	C₄×C₇	#585	1	1	yes	characteristic
1001	C₂⁴	—	2	2	no	—
1002	C₂⁴	—	2	1	no	—
1003	#41	—	4	1	no	—
1004	#41	—	4	1	no	—
1005	#41	—	4	1	no	—
1006	#41	—	4	1	no	—
1007	#41	—	8	2	no	—
1008	#41	—	8	2	no	—
1009	#41	—	8	2	no	—
1010	#41	—	8	2	no	—
1011	#41	—	8	2	no	—
1012	#41	—	8	2	no	—
1013	C₂×Q₈	—	2	1	no	—
1014	C₂×Q₈	—	2	1	no	—
1015	C₂×Q₈	—	2	1	no	—
1016	C₂×Q₈	—	2	1	no	—
1017	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1018	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	2	1	no	—
1022	C₂×D₄	—	2	2	no	—
1023	C₂×D₄	—	2	2	no	—
1024	C₂×D₄	—	2	2	no	—
1025	C₂×D₄	—	2	2	no	—
1026	C₂×D₄	—	2	1	no	—
1027	C₂×D₄	—	2	1	no	—
1028	C₂×D₄	—	2	1	no	—
1029	C₂×D₄	—	2	1	no	—
1030	C₂×D₄	—	2	1	no	—
1031	C₂×D₄	—	2	2	no	—
1032	C₂×D₄	—	2	1	no	—
1033	C₂×D₄	—	2	1	no	—
1034	C₂×D₄	—	2	1	no	—
1035	C₂×D₄	—	2	1	no	—
1036	C₂×D₄	—	2	1	no	—
1037	C₂×D₄	—	2	1	no	—
1038	C₂×D₄	—	2	1	no	—
1039	C₂×D₄	—	2	1	no	—
1040	C₂×D₄	—	2	2	no	—
1041	C₂×D₄	—	2	2	no	—
1042	C₂×D₄	—	4	2	no	—
1043	C₂×D₄	—	4	2	no	—
1044	C₂×D₄	—	4	1	no	—
1045	C₂×D₄	—	4	1	no	—
1046	C₂×D₄	—	8	2	no	—
1047	C₂×D₄	—	8	2	no	—
1048	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1049	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1050	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1051	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1052	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1053	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1054	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1055	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1056	C₂²×C₄	—	2	1	no	—
1057	C₂²×C₄	—	2	1	no	—
1058	C₂²×C₄	—	2	1	no	—
1059	C₂²×C₄	—	2	1	no	—
1060	C₂²×C₄	—	2	1	no	—
1061	C₂²×C₄	—	2	1	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	—	2	2	no	—
1066	C₂²×C₄	—	2	1	no	—
1067	C₂²×C₄	—	2	1	no	—
1068	C₂²×C₄	—	8	2	no	—
1069	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1070	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1071	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1072	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1073	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1074	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1075	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1078	SD₁₆	—	4	2	no	—
1079	SD₁₆	—	4	2	no	—
1080	D₈	—	4	2	no	—
1081	D₈	—	4	2	no	—
1082	D₈	—	4	2	no	—
1083	D₈	—	4	2	no	—
1084	D₈	—	4	2	no	—
1085	D₈	—	4	2	no	—
1086	M₁₆	—	4	2	no	—
1087	C₂×C₈	—	4	2	no	—
1088	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1089	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1090	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1091	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	1	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	—	2	1	no	—
1098	C₄⋊C₄	—	2	1	no	—
1099	C₄⋊C₄	—	2	1	no	—
1100	C₄⋊C₄	—	2	1	no	—
1101	C₄⋊C₄	—	2	1	no	—
1102	C₄⋊C₄	—	2	1	no	—
1103	C₄⋊C₄	—	2	1	no	—
1104	C₄⋊C₄	—	2	1	no	—
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1108	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1109	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1110	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1111	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1112	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1113	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1114	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1115	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1116	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1117	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1118	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	2	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	1	no	—
1128	C₂²⋊C₄	—	2	1	no	—
1129	C₂²⋊C₄	—	2	1	no	—
1130	C₂²⋊C₄	—	2	1	no	—
1131	C₂²⋊C₄	—	2	1	no	—
1132	C₂²⋊C₄	—	2	1	no	—
1133	C₂²⋊C₄	—	2	1	no	—
1134	C₂²⋊C₄	—	2	1	no	—
1135	C₂²⋊C₄	—	2	1	no	—
1136	C₂²⋊C₄	—	2	1	no	—
1137	C₂²⋊C₄	—	2	1	no	—
1138	C₂²⋊C₄	—	2	1	no	—
1139	C₂²⋊C₄	—	2	1	no	—
1140	C₂²⋊C₄	—	2	1	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	2	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	2	2	no	—
1145	C₂²⋊C₄	—	2	1	no	—
1146	C₂²⋊C₄	—	2	1	no	—
1147	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1148	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1149	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1150	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1151	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1152	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1153	C₄²	—	2	1	no	—
1154	C₄²	—	2	1	no	—
1155	C₄²	—	2	1	no	—
1156	C₄²	—	2	2	no	—
1157	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1158	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1159	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1160	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1161	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1162	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1163	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1164	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1165	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1166	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1167	C₂×C₇	—	4	1	no	—
1168	C₂×C₇	—	4	1	no	—
1169	C₂×C₇	—	4	1	no	—
1170	C₂×C₇	—	8	1	no	—
1171	C₂×C₇	—	8	1	no	—
1172	C₂×C₇	—	8	1	no	—
1173	C₂×C₇	—	8	2	no	—
1174	C₂×C₇	—	8	2	no	—
1175	C₂×C₇	#3449	1	1	yes	characteristic
1176	C₂×C₇	C₂×#576	1	1	yes	characteristic
1177	C₂×C₇	#3585	1	1	yes	characteristic
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	2	no	—
1182	C₂³	—	2	2	no	—
1183	C₂³	—	4	2	no	—
1184	C₂³	—	4	4	no	—
1185	C₂³	—	8	1	no	—
1186	C₂³	—	8	1	no	—
1187	C₂³	—	8	2	no	—
1188	C₂³	—	8	2	no	—
1189	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1190	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1191	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1192	Q₈	—	2	1	no	—
1193	Q₈	—	2	1	no	—
1194	Q₈	—	4	1	no	—
1195	Q₈	—	4	2	no	—
1196	Q₈	—	4	2	no	—
1197	Q₈	—	8	1	no	—
1198	Q₈	—	8	1	no	—
1199	D₄	—	2	1	no	—
1200	D₄	—	2	1	no	—
1201	D₄	—	2	1	no	—
1202	D₄	—	2	1	no	—
1203	D₄	—	2	2	no	—
1204	D₄	—	2	2	no	—
1205	D₄	—	2	1	no	—
1206	D₄	—	2	1	no	—
1207	D₄	—	2	2	no	—
1208	D₄	—	2	2	no	—
1209	D₄	—	4	1	no	—
1210	D₄	—	4	1	no	—
1211	D₄	—	4	1	no	—
1212	D₄	—	4	2	no	—
1213	D₄	—	4	4	no	—
1214	D₄	—	4	2	no	—
1215	D₄	—	4	2	no	—
1216	D₄	—	4	2	no	—
1217	D₄	—	4	2	no	—
1218	D₄	—	4	2	no	—
1219	D₄	—	8	1	no	—
1220	D₄	—	8	1	no	—
1221	D₄	—	8	2	no	—
1222	D₄	—	8	2	no	—
1223	D₄	—	8	1	no	—
1224	D₄	—	8	1	no	—
1225	D₄	—	8	1	no	—
1226	D₄	—	8	1	no	—
1227	D₄	—	8	1	no	—
1228	D₄	—	8	1	no	—
1229	D₄	—	8	1	no	—
1230	D₄	—	8	1	no	—
1231	D₄	—	8	2	no	—
1232	D₄	—	8	2	no	—
1233	D₄	—	8	2	no	—
1234	D₄	—	8	2	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	4	1	no	—
1252	C₂×C₄	—	4	1	no	—
1253	C₂×C₄	—	4	1	no	—
1254	C₂×C₄	—	4	2	no	—
1255	C₂×C₄	—	4	2	no	—
1256	C₂×C₄	—	4	2	no	—
1257	C₂×C₄	—	4	2	no	—
1258	C₂×C₄	—	8	1	no	—
1259	C₂×C₄	—	8	1	no	—
1260	C₂×C₄	—	8	1	no	—
1261	C₂×C₄	—	8	2	no	—
1262	C₂×C₄	—	8	2	no	—
1263	C₂×C₄	—	8	2	no	—
1264	C₂×C₄	—	8	2	no	—
1265	C₂×C₄	—	8	1	no	—
1266	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1267	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1268	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1269	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1270	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1271	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1272	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1273	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1274	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1275	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1276	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1277	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1278	C₈	—	2	2	no	—
1279	C₈	—	2	2	no	—
1280	C₈	—	2	2	no	—
1281	C₈	—	2	2	no	—
1282	C₇	#60990	1	1	yes	characteristic, direct product factor, Sylow
1283	C₂²	—	2	1	no	—
1284	C₂²	—	2	1	no	—
1285	C₂²	—	2	1	no	—
1286	C₂²	—	2	1	no	—
1287	C₂²	—	2	1	no	—
1288	C₂²	—	2	1	no	—
1289	C₂²	—	2	1	no	—
1290	C₂²	—	2	1	no	—
1291	C₂²	—	2	1	no	—
1292	C₂²	—	4	1	no	—
1293	C₂²	—	4	1	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	2	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	4	2	no	—
1298	C₂²	—	4	2	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	—	4	1	no	—
1303	C₂²	—	4	1	no	—
1304	C₂²	—	4	1	no	—
1305	C₂²	—	4	2	no	—
1306	C₂²	—	4	2	no	—
1307	C₂²	—	8	4	no	—
1308	C₂²	—	16	4	no	—
1309	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1310	C₄	—	2	1	no	—
1311	C₄	—	2	1	no	—
1312	C₄	—	2	1	no	—
1313	C₄	—	2	1	no	—
1314	C₄	—	2	1	no	—
1315	C₄	—	2	1	no	—
1316	C₄	—	2	1	no	—
1317	C₄	—	2	1	no	—
1318	C₄	—	2	1	no	—
1319	C₄	—	2	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	2	no	—
1324	C₄	—	4	2	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	C₇×#576	1	2	yes	—
1328	C₄	C₇×#585	1	1	yes	characteristic
1329	C₄	C₇×#585	1	1	yes	characteristic
1330	C₂	—	4	1	no	—
1331	C₂	—	4	1	no	—
1332	C₂	—	4	1	no	—
1333	C₂	—	8	1	no	—
1334	C₂	—	8	1	no	—
1335	C₂	—	8	2	no	—
1336	C₂	—	8	2	no	—
1337	C₂	—	8	1	no	—
1338	C₂	C₇×#3449	1	1	yes	characteristic
1339	C₂	C₂×C₇×#576	1	1	yes	characteristic
1340	C₂	C₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
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×#3508	C₂	semidirect
2. C₇×#3460	C₂	semidirect
3. C₇×#3253	C₂	semidirect
4. C₇×#3251	C₂	semidirect
5. C₇×#3247	C₂	semidirect
6. C₇×#3245	C₂	semidirect
7. C₇×#3241	C₂	semidirect
8. C₇×#3235	C₂	semidirect
9. C₇×#3233	C₂	semidirect
10. C₇×#3220	C₂	semidirect
11. C₇×#3217	C₂	semidirect
12. C₇×#3205	C₂	semidirect
13. C₇×#3199	C₂	semidirect
14. C₇×#3198	C₂	semidirect
15. C₇×#3179	C₂	semidirect
16. C₇×#3176	C₂	semidirect
17. C₇×#3122	C₂	semidirect
18. C₇×#3118	C₂	semidirect
19. C₇×#3115	C₂	semidirect
20. C₇×#3109	C₂	semidirect
21. C₇×#3106	C₂	semidirect
22. C₇×#3100	C₂	semidirect
23. C₇×#2925	C₂	semidirect
32. C₇×#544	C₂²	semidirect
35. C₇×#542	C₂²	semidirect
39. C₇×#540	C₂²	semidirect
40. C₇×#540	C₂²	semidirect
46. C₇×#535	C₂²	semidirect
47. C₇×#533	C₂²	semidirect
52. C₇×#532	C₂²	semidirect
53. C₇×#532	C₂²	semidirect
54. C₇×#532	C₂²	semidirect
55. C₂×C₇×#127	C₂²	semidirect
58. C₇×#529	C₂²	semidirect
61. C₇×#518	C₂²	semidirect
63. C₄×C₇×#41	C₂²	semidirect
64. C₂×C₄×C₇×D₄	C₂²	semidirect
65. C₇×#501	C₂²	semidirect
66. C₇×#499	C₂²	semidirect
69. C₇×#490	C₂²	semidirect
70. C₇×#490	C₂²	semidirect
71. C₇×#488	C₂²	semidirect
72. C₇×#486	C₂²	semidirect
73. C₇×#485	C₂²	semidirect
76. C₇×#482	C₂²	semidirect
77. C₇×#482	C₂²	semidirect
78. C₇×#482	C₂²	semidirect
79. C₇×#481	C₂²	semidirect
80. C₇×#480	C₂²	semidirect
81. C₇×#478	C₂²	semidirect
82. C₇×#478	C₂²	semidirect
83. C₇×#477	C₂²	semidirect
84. C₇×#476	C₂²	semidirect
85. C₇×#476	C₂²	semidirect
86. C₇×#476	C₂²	semidirect
87. C₇×#476	C₂²	semidirect
88. C₇×#475	C₂²	semidirect
89. C₇×#474	C₂²	semidirect
90. C₇×#474	C₂²	semidirect
91. C₇×#474	C₂²	semidirect
92. C₇×#474	C₂²	semidirect
93. C₇×#469	C₂²	semidirect
94. C₇×#469	C₂²	semidirect
95. C₇×#469	C₂²	semidirect
96. C₇×#468	C₂²	semidirect
97. C₇×#466	C₂²	semidirect
98. C₇×#466	C₂²	semidirect
99. C₇×#466	C₂²	semidirect
100. C₇×#465	C₂²	semidirect
101. C₇×#463	C₂²	semidirect
102. C₇×#463	C₂²	semidirect
103. C₇×#460	C₂²	semidirect
104. C₇×#460	C₂²	semidirect
109. C₇×#459	C₂²	semidirect
110. C₇×#459	C₂²	semidirect
111. C₇×#459	C₂²	semidirect
112. C₇×#459	C₂²	semidirect
113. C₇×#450	C₂²	semidirect
114. C₇×#449	C₂²	semidirect
115. C₇×#449	C₂²	semidirect
118. C₇×#447	C₂²	semidirect
119. C₇×#447	C₂²	semidirect
120. C₇×#447	C₂²	semidirect
121. C₇×#442	C₂²	semidirect
122. C₇×#442	C₂²	semidirect
123. C₇×#442	C₂²	semidirect
124. C₇×#440	C₂²	semidirect
125. C₄×C₇×SD₁₆	C₂²	semidirect
126. C₄×C₇×D₈	C₂²	semidirect
127. C₄×C₇×D₈	C₂²	semidirect
128. C₄×C₇×D₈	C₂²	semidirect
129. C₇×#433	C₂²	semidirect
130. C₇×#433	C₂²	semidirect
131. C₇×#432	C₂²	semidirect
132. C₇×#432	C₂²	semidirect
133. C₇×#431	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. #60990	C₇	direct (N × H)
343. #3508	C₂×C₇	semidirect
344. #3460	C₂×C₇	semidirect
345. #3253	C₂×C₇	semidirect
346. #3251	C₂×C₇	semidirect
347. #3247	C₂×C₇	semidirect
348. #3245	C₂×C₇	semidirect
349. #3241	C₂×C₇	semidirect
350. #3235	C₂×C₇	semidirect
351. #3233	C₂×C₇	semidirect
352. #3220	C₂×C₇	semidirect
353. #3217	C₂×C₇	semidirect
354. #3205	C₂×C₇	semidirect
355. #3199	C₂×C₇	semidirect
356. #3198	C₂×C₇	semidirect
357. #3179	C₂×C₇	semidirect
358. #3176	C₂×C₇	semidirect
359. #3122	C₂×C₇	semidirect
360. #3118	C₂×C₇	semidirect
361. #3115	C₂×C₇	semidirect
362. #3109	C₂×C₇	semidirect
363. #3106	C₂×C₇	semidirect
364. #3100	C₂×C₇	semidirect
365. #2925	C₂×C₇	semidirect
540. #544	C₂²×C₇	semidirect
543. #542	C₂²×C₇	semidirect
547. #540	C₂²×C₇	semidirect
548. #540	C₂²×C₇	semidirect
554. #535	C₂²×C₇	semidirect
555. #533	C₂²×C₇	semidirect
560. #532	C₂²×C₇	semidirect
561. #532	C₂²×C₇	semidirect
562. #532	C₂²×C₇	semidirect
563. C₂×#127	C₂²×C₇	semidirect
566. #529	C₂²×C₇	semidirect
569. #518	C₂²×C₇	semidirect
571. C₄×#41	C₂²×C₇	semidirect
572. C₂×C₄×D₄	C₂²×C₇	semidirect
573. #501	C₂²×C₇	semidirect
574. #499	C₂²×C₇	semidirect
577. #490	C₂²×C₇	semidirect
578. #490	C₂²×C₇	semidirect
579. #488	C₂²×C₇	semidirect
580. #486	C₂²×C₇	semidirect
581. #485	C₂²×C₇	semidirect
584. #482	C₂²×C₇	semidirect
585. #482	C₂²×C₇	semidirect
586. #482	C₂²×C₇	semidirect
587. #481	C₂²×C₇	semidirect
588. #480	C₂²×C₇	semidirect
589. #478	C₂²×C₇	semidirect
590. #478	C₂²×C₇	semidirect
591. #477	C₂²×C₇	semidirect
592. #476	C₂²×C₇	semidirect
593. #476	C₂²×C₇	semidirect
594. #476	C₂²×C₇	semidirect
595. #476	C₂²×C₇	semidirect
596. #475	C₂²×C₇	semidirect
597. #474	C₂²×C₇	semidirect
598. #474	C₂²×C₇	semidirect
599. #474	C₂²×C₇	semidirect
600. #474	C₂²×C₇	semidirect
601. #469	C₂²×C₇	semidirect
602. #469	C₂²×C₇	semidirect
603. #469	C₂²×C₇	semidirect
604. #468	C₂²×C₇	semidirect
605. #466	C₂²×C₇	semidirect
606. #466	C₂²×C₇	semidirect
607. #466	C₂²×C₇	semidirect
608. #465	C₂²×C₇	semidirect
609. #463	C₂²×C₇	semidirect
610. #463	C₂²×C₇	semidirect
611. #460	C₂²×C₇	semidirect
612. #460	C₂²×C₇	semidirect
617. #459	C₂²×C₇	semidirect
618. #459	C₂²×C₇	semidirect
619. #459	C₂²×C₇	semidirect
620. #459	C₂²×C₇	semidirect
621. #450	C₂²×C₇	semidirect
622. #449	C₂²×C₇	semidirect
623. #449	C₂²×C₇	semidirect
626. #447	C₂²×C₇	semidirect
627. #447	C₂²×C₇	semidirect
628. #447	C₂²×C₇	semidirect
629. #442	C₂²×C₇	semidirect
630. #442	C₂²×C₇	semidirect
631. #442	C₂²×C₇	semidirect
632. #440	C₂²×C₇	semidirect
633. C₄×SD₁₆	C₂²×C₇	semidirect
634. C₄×D₈	C₂²×C₇	semidirect
635. C₄×D₈	C₂²×C₇	semidirect
636. C₄×D₈	C₂²×C₇	semidirect
637. #433	C₂²×C₇	semidirect
638. #433	C₂²×C₇	semidirect
639. #432	C₂²×C₇	semidirect
640. #432	C₂²×C₇	semidirect
641. #431	C₂²×C₇	semidirect
642. #431	C₂²×C₇	semidirect
643. #423	C₂²×C₇	semidirect
644. C₂×C₄⋊C₈	C₂²×C₇	semidirect
646. #405	C₂²×C₇	semidirect
1282. C₇	#60990	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×#3508	2
C₇×#3460	2
C₇×#3253	2
C₇×#3251	2
C₇×#3247	2
C₇×#3245	2
C₇×#3241	2
C₇×#3235	2
C₇×#3233	2
C₇×#3220	2
C₇×#3217	2
C₇×#3205	2
C₇×#3199	2
C₇×#3198	2
C₇×#3179	2
C₇×#3176	2
C₇×#3122	2
C₇×#3118	2
C₇×#3115	2
C₇×#3109	2
C₇×#3106	2
C₇×#3100	2
C₇×#2925	2
#60990	7

Subgroups — C7×#60990 #13238206

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60990 #13238206