Subgroups — C₇×#60989 #13238205

Order 1792.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3511	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×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3247	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3244	C₂	1	2	yes	maximal, complemented
8	C₇×#3238	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3227	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3224	C₂	1	2	yes	maximal, complemented
11	C₇×#3214	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3212	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3204	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×#3173	C₂	1	2	yes	maximal, complemented
17	C₇×#3125	C₂	1	2	yes	maximal, complemented
18	C₇×#3119	C₂	1	2	yes	maximal, complemented
19	C₇×#3116	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×#3101	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#556	—	2	1	no	—
25	C₇×#555	—	2	1	no	—
26	C₇×#554	—	2	1	no	—
27	C₇×#553	—	2	1	no	—
28	C₇×#553	—	2	1	no	—
29	C₇×#548	—	2	1	no	—
30	C₇×#548	—	2	1	no	—
31	C₇×#547	—	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	2	yes	—
36	C₇×#542	C₂²	1	1	yes	characteristic
37	C₇×#542	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	2	yes	—
44	C₇×#537	C₂²	1	1	yes	characteristic
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, complemented
49	C₇×#532	—	2	1	no	—
50	C₇×#532	C₂²	1	1	yes	characteristic
51	C₇×#532	C₂²	1	1	yes	characteristic
52	C₇×#532	C₂²	1	1	yes	characteristic
53	C₇×#532	C₂²	1	1	yes	characteristic, complemented
54	C₇×#532	C₂²	1	1	yes	characteristic, complemented
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×#520	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×#498	C₂²	1	2	yes	complemented
67	C₇×#496	C₂²	1	2	yes	—
68	C₇×#495	C₂²	1	2	yes	—
69	C₇×#489	C₂²	1	2	yes	—
70	C₇×#489	C₂²	1	2	yes	complemented
71	C₇×#488	C₂²	1	2	yes	complemented
72	C₇×#486	C₂²	1	2	yes	—
73	C₇×#485	C₂²	1	2	yes	—
74	C₇×#483	C₂²	1	2	yes	—
75	C₇×#483	C₂²	1	2	yes	complemented
76	C₇×#482	C₂²	1	2	yes	—
77	C₇×#481	C₂²	1	2	yes	—
78	C₇×#481	C₂²	1	2	yes	—
79	C₇×#481	C₂²	1	2	yes	complemented
80	C₇×#480	C₂²	1	2	yes	—
81	C₇×#479	C₂²	1	2	yes	complemented
82	C₇×#478	C₂²	1	2	yes	complemented
83	C₇×#477	C₂²	1	1	yes	characteristic, complemented
84	C₇×#477	C₂²	1	1	yes	characteristic, 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
88	C₇×#476	C₂²	1	1	yes	characteristic
89	C₇×#476	C₂²	1	1	yes	characteristic, complemented
90	C₇×#476	C₂²	1	1	yes	characteristic, complemented
91	C₇×#476	C₂²	1	2	yes	complemented
92	C₇×#475	C₂²	1	2	yes	complemented
93	C₇×#470	C₂²	1	2	yes	complemented
94	C₇×#469	C₂²	1	2	yes	—
95	C₇×#469	C₂²	1	2	yes	complemented
96	C₇×#468	C₂²	1	2	yes	—
97	C₇×#466	C₂²	1	2	yes	—
98	C₇×#465	C₂²	1	2	yes	—
99	C₇×#465	C₂²	1	2	yes	complemented
100	C₇×#465	C₂²	1	2	yes	complemented
101	C₇×#464	C₂²	1	2	yes	—
102	C₇×#463	C₂²	1	2	yes	—
103	C₇×#462	C₂²	1	1	yes	characteristic, complemented
104	C₇×#461	C₂²	1	1	yes	characteristic
105	C₇×#461	C₂²	1	1	yes	characteristic
106	C₇×#461	C₂²	1	1	yes	characteristic, complemented
107	C₇×#460	C₂²	1	2	yes	—
108	C₇×#460	C₂²	1	1	yes	characteristic, complemented
109	C₇×#459	C₂²	1	1	yes	characteristic
110	C₇×#459	C₂²	1	1	yes	characteristic
111	C₇×#459	C₂²	1	2	yes	—
112	C₇×#459	C₂²	1	1	yes	characteristic, complemented
113	C₇×#452	C₂²	1	2	yes	—
114	C₇×#452	C₂²	1	2	yes	complemented
115	C₇×#450	C₂²	1	2	yes	—
116	C₇×#449	C₂²	1	2	yes	—
117	C₇×#449	C₂²	1	2	yes	—
118	C₇×#449	C₂²	1	2	yes	—
119	C₇×#449	C₂²	1	2	yes	complemented
120	C₇×#447	C₂²	1	2	yes	—
121	C₇×#442	C₂²	1	2	yes	—
122	C₇×#442	C₂²	1	2	yes	—
123	C₇×#441	C₂²	1	2	yes	complemented
124	C₇×#440	C₂²	1	2	yes	complemented
125	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
126	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
127	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₇×D₈	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	#60989	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	C₂³	1	1	yes	characteristic
145	C₂×C₇×#41	C₂³	1	2	yes	—
146	C₂×C₇×#41	C₂³	1	1	yes	characteristic
147	C₂²×C₇×Q₈	—	2	1	no	—
148	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₇	—	2	1	no	—
150	C₂×C₇×Q₁₆	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×D₈	C₂³	1	2	yes	—
156	C₂×C₇×D₈	C₂³	1	2	yes	—
157	C₂×C₇×D₈	C₂³	1	2	yes	—
158	C₂×C₇×M₁₆	C₂³	1	2	yes	—
159	C₂²×C₇×C₈	C₂³	1	2	yes	—
160	C₇×C₄⋊Q₈	—	2	1	no	—
161	C₇×C₄⋊Q₈	—	2	1	no	—
162	C₇×C₄⋊Q₈	—	2	1	no	—
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	2	yes	—
168	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₇×#127	—	2	1	no	—
170	C₇×#127	C₂³	1	1	yes	characteristic
171	C₇×#127	C₂³	1	1	yes	characteristic
172	C₇×#127	C₂³	1	1	yes	characteristic
173	C₇×#126	—	2	1	no	—
174	C₇×#126	—	2	1	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	1	no	—
181	C₇×#125	—	2	1	no	—
182	C₇×#125	C₂³	1	1	yes	characteristic
183	C₇×#125	C₂³	1	1	yes	characteristic
184	C₇×#124	—	2	1	no	—
185	C₇×#124	—	2	1	no	—
186	C₇×#124	—	2	1	no	—
187	C₇×#124	—	2	2	no	—
188	C₇×#124	—	2	2	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	C₂³	1	2	yes	—
194	C₇×#124	C₂³	1	1	yes	characteristic
195	C₇×#124	C₂³	1	1	yes	characteristic
196	C₇×#123	—	2	1	no	—
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	1	no	—
204	C₇×#123	—	2	2	no	—
205	C₇×#123	—	2	2	no	—
206	C₇×C₂²⋊Q₈	—	2	1	no	—
207	C₇×C₂²⋊Q₈	—	2	2	no	—
208	C₇×C₂²⋊Q₈	—	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	2	no	—
213	C₇×C₂²⋊Q₈	—	2	2	no	—
214	C₇×C₂²⋊Q₈	—	2	1	no	—
215	C₇×C₂²⋊Q₈	—	2	1	no	—
216	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₇×#121	—	2	1	no	—
221	C₇×#121	—	2	1	no	—
222	C₇×#121	—	2	1	no	—
223	C₇×#121	—	2	2	no	—
224	C₇×#121	—	2	2	no	—
225	C₇×#121	—	2	2	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	1	no	—
234	C₇×#121	—	2	1	no	—
235	C₇×#121	—	2	1	no	—
236	C₇×#121	—	2	1	no	—
237	C₇×#121	—	2	1	no	—
238	C₇×#121	C₂³	1	1	yes	characteristic
239	C₇×#121	C₂³	1	2	yes	—
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×#121	C₂³	1	1	yes	characteristic
244	C₇×#121	C₂³	1	2	yes	—
245	C₇×#121	C₂³	1	1	yes	characteristic
246	C₇×#120	—	2	1	no	—
247	C₇×#120	—	2	1	no	—
248	C₇×#120	—	2	1	no	—
249	C₇×#120	—	2	1	no	—
250	C₄×C₇×Q₈	—	2	1	no	—
251	C₄×C₇×Q₈	—	2	1	no	—
252	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
253	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
254	C₄×C₇×Q₈	C₂³	1	2	yes	—
255	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
256	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
257	C₄×C₇×Q₈	C₂³	1	2	yes	—
258	C₄×C₇×D₄	—	2	1	no	—
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	2	no	—
263	C₄×C₇×D₄	—	2	2	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	—	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	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
281	C₄×C₇×D₄	C₂³	1	2	yes	—
282	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
283	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
284	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
285	C₄×C₇×D₄	C₂³	1	2	yes	—
286	C₇×#117	—	2	1	no	—
287	C₇×#117	—	2	1	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	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	2	no	—
298	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
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×#106	C₂³	1	2	yes	—
308	C₇×#106	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	2	yes	—
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	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×#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×#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	#3511	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	#3252	C₂×C₇	1	1	yes	characteristic, complemented
347	#3247	C₂×C₇	1	1	yes	characteristic, complemented
348	#3246	C₂×C₇	1	1	yes	characteristic, complemented
349	#3244	C₂×C₇	1	2	yes	complemented
350	#3238	C₂×C₇	1	1	yes	characteristic, complemented
351	#3227	C₂×C₇	1	1	yes	characteristic, complemented
352	#3224	C₂×C₇	1	2	yes	complemented
353	#3214	C₂×C₇	1	1	yes	characteristic, complemented
354	#3212	C₂×C₇	1	1	yes	characteristic, complemented
355	#3204	C₂×C₇	1	2	yes	complemented
356	#3198	C₂×C₇	1	2	yes	complemented
357	#3179	C₂×C₇	1	2	yes	complemented
358	#3173	C₂×C₇	1	2	yes	complemented
359	#3125	C₂×C₇	1	2	yes	complemented
360	#3119	C₂×C₇	1	2	yes	complemented
361	#3116	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	#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	—	4	2	no	—
372	C₇×#41	—	4	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	C₂×C₇×Q₈	—	2	1	no	—
378	C₂×C₇×Q₈	—	2	1	no	—
379	C₂×C₇×Q₈	—	2	2	no	—
380	C₂×C₇×Q₈	—	2	1	no	—
381	C₂×C₇×Q₈	—	2	1	no	—
382	C₂×C₇×Q₈	—	8	2	no	—
383	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
384	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
385	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
386	C₂×C₇×D₄	—	2	1	no	—
387	C₂×C₇×D₄	—	2	2	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	2	no	—
395	C₂×C₇×D₄	—	2	2	no	—
396	C₂×C₇×D₄	—	2	1	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	—	4	1	no	—
404	C₂×C₇×D₄	—	4	1	no	—
405	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
406	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
407	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
408	C₂×C₇×D₄	C₂⁴	1	2	yes	—
409	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
410	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
411	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₇	—	2	1	no	—
413	C₂²×C₄×C₇	—	2	2	no	—
414	C₂²×C₄×C₇	—	2	1	no	—
415	C₂²×C₄×C₇	—	2	1	no	—
416	C₂²×C₄×C₇	—	2	2	no	—
417	C₂²×C₄×C₇	—	2	1	no	—
418	C₂²×C₄×C₇	—	2	1	no	—
419	C₂²×C₄×C₇	—	2	1	no	—
420	C₂²×C₄×C₇	—	2	2	no	—
421	C₂²×C₄×C₇	—	2	2	no	—
422	C₂²×C₄×C₇	—	2	1	no	—
423	C₂²×C₄×C₇	—	2	1	no	—
424	C₂²×C₄×C₇	—	8	2	no	—
425	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
426	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
427	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
428	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
429	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
430	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
431	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
434	C₇×Q₁₆	—	4	2	no	—
435	C₇×SD₁₆	—	4	2	no	—
436	C₇×SD₁₆	—	4	2	no	—
437	C₇×SD₁₆	—	4	2	no	—
438	C₇×SD₁₆	—	4	2	no	—
439	C₇×D₈	—	4	2	no	—
440	C₇×D₈	—	4	2	no	—
441	C₇×D₈	—	4	2	no	—
442	C₇×M₁₆	—	4	2	no	—
443	C₂×C₇×C₈	—	4	2	no	—
444	C₂×C₇×C₈	C₂⁴	1	2	yes	—
445	C₂×C₇×C₈	C₂⁴	1	2	yes	—
446	C₂×C₇×C₈	C₂⁴	1	2	yes	—
447	C₂×C₇×C₈	C₂⁴	1	2	yes	—
448	C₇×C₄⋊C₄	—	2	2	no	—
449	C₇×C₄⋊C₄	—	2	1	no	—
450	C₇×C₄⋊C₄	—	2	1	no	—
451	C₇×C₄⋊C₄	—	2	2	no	—
452	C₇×C₄⋊C₄	—	2	2	no	—
453	C₇×C₄⋊C₄	—	2	2	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	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	2	no	—
468	C₇×C₄⋊C₄	—	2	2	no	—
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	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	C₂⁴	1	2	yes	—
476	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
477	C₇×C₄⋊C₄	C₂⁴	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×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	2	no	—
493	C₇×C₂²⋊C₄	—	2	2	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	2	no	—
503	C₇×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	1	yes	characteristic
509	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
510	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
511	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
512	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
513	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
514	C₄²×C₇	—	2	1	no	—
515	C₄²×C₇	—	2	1	no	—
516	C₄²×C₇	—	2	1	no	—
517	C₄²×C₇	—	2	2	no	—
518	C₄²×C₇	—	2	2	no	—
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	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	C₂⁴	1	1	yes	characteristic
526	C₄²×C₇	C₂⁴	1	1	yes	characteristic
527	C₄²×C₇	C₂⁴	1	1	yes	characteristic
528	C₄²×C₇	C₂⁴	1	1	yes	characteristic
529	#556	—	2	1	no	—
530	#555	—	2	1	no	—
531	#554	—	2	1	no	—
532	#553	—	2	1	no	—
533	#553	—	2	1	no	—
534	#548	—	2	1	no	—
535	#548	—	2	1	no	—
536	#547	—	2	1	no	—
537	#544	C₂²×C₇	1	1	yes	characteristic
538	#542	—	2	1	no	—
539	#542	C₂²×C₇	1	1	yes	characteristic
540	#542	C₂²×C₇	1	1	yes	characteristic
541	#542	C₂²×C₇	1	2	yes	—
542	#542	C₂²×C₇	1	2	yes	complemented
543	#540	—	2	1	no	—
544	#540	C₂²×C₇	1	1	yes	characteristic
545	#540	C₂²×C₇	1	1	yes	characteristic
546	#538	—	2	1	no	—
547	#538	—	2	1	no	—
548	#537	C₂²×C₇	1	2	yes	—
549	#537	C₂²×C₇	1	1	yes	characteristic
550	#535	C₂²×C₇	1	1	yes	characteristic
551	#535	C₂²×C₇	1	1	yes	characteristic
552	#533	C₂²×C₇	1	1	yes	characteristic
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	#532	C₂²×C₇	1	1	yes	characteristic
558	#532	C₂²×C₇	1	1	yes	characteristic, complemented
559	#532	C₂²×C₇	1	1	yes	characteristic, complemented
560	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
561	#529	—	2	1	no	—
562	#529	C₂²×C₇	1	1	yes	characteristic
563	#529	C₂²×C₇	1	1	yes	characteristic
564	#525	—	2	1	no	—
565	#525	—	2	1	no	—
566	#520	C₂²×C₇	1	2	yes	complemented
567	C₄×#41	C₂²×C₇	1	1	yes	characteristic
568	C₄×#41	C₂²×C₇	1	1	yes	characteristic
569	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
570	#501	C₂²×C₇	1	2	yes	complemented
571	#498	C₂²×C₇	1	2	yes	complemented
572	#496	C₂²×C₇	1	2	yes	—
573	#495	C₂²×C₇	1	2	yes	—
574	#489	C₂²×C₇	1	2	yes	—
575	#489	C₂²×C₇	1	2	yes	complemented
576	#488	C₂²×C₇	1	2	yes	complemented
577	#486	C₂²×C₇	1	2	yes	—
578	#485	C₂²×C₇	1	2	yes	—
579	#483	C₂²×C₇	1	2	yes	—
580	#483	C₂²×C₇	1	2	yes	complemented
581	#482	C₂²×C₇	1	2	yes	—
582	#481	C₂²×C₇	1	2	yes	—
583	#481	C₂²×C₇	1	2	yes	—
584	#481	C₂²×C₇	1	2	yes	complemented
585	#480	C₂²×C₇	1	2	yes	—
586	#479	C₂²×C₇	1	2	yes	complemented
587	#478	C₂²×C₇	1	2	yes	complemented
588	#477	C₂²×C₇	1	1	yes	characteristic, complemented
589	#477	C₂²×C₇	1	1	yes	characteristic, complemented
590	#476	C₂²×C₇	1	1	yes	characteristic
591	#476	C₂²×C₇	1	1	yes	characteristic
592	#476	C₂²×C₇	1	1	yes	characteristic
593	#476	C₂²×C₇	1	1	yes	characteristic
594	#476	C₂²×C₇	1	1	yes	characteristic, complemented
595	#476	C₂²×C₇	1	1	yes	characteristic, complemented
596	#476	C₂²×C₇	1	2	yes	complemented
597	#475	C₂²×C₇	1	2	yes	complemented
598	#470	C₂²×C₇	1	2	yes	complemented
599	#469	C₂²×C₇	1	2	yes	—
600	#469	C₂²×C₇	1	2	yes	complemented
601	#468	C₂²×C₇	1	2	yes	—
602	#466	C₂²×C₇	1	2	yes	—
603	#465	C₂²×C₇	1	2	yes	—
604	#465	C₂²×C₇	1	2	yes	complemented
605	#465	C₂²×C₇	1	2	yes	complemented
606	#464	C₂²×C₇	1	2	yes	—
607	#463	C₂²×C₇	1	2	yes	—
608	#462	C₂²×C₇	1	1	yes	characteristic, complemented
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	#460	C₂²×C₇	1	2	yes	—
613	#460	C₂²×C₇	1	1	yes	characteristic, complemented
614	#459	C₂²×C₇	1	1	yes	characteristic
615	#459	C₂²×C₇	1	1	yes	characteristic
616	#459	C₂²×C₇	1	2	yes	—
617	#459	C₂²×C₇	1	1	yes	characteristic, complemented
618	#452	C₂²×C₇	1	2	yes	—
619	#452	C₂²×C₇	1	2	yes	complemented
620	#450	C₂²×C₇	1	2	yes	—
621	#449	C₂²×C₇	1	2	yes	—
622	#449	C₂²×C₇	1	2	yes	—
623	#449	C₂²×C₇	1	2	yes	—
624	#449	C₂²×C₇	1	2	yes	complemented
625	#447	C₂²×C₇	1	2	yes	—
626	#442	C₂²×C₇	1	2	yes	—
627	#442	C₂²×C₇	1	2	yes	—
628	#441	C₂²×C₇	1	2	yes	complemented
629	#440	C₂²×C₇	1	2	yes	complemented
630	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
631	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
632	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
633	C₄×D₈	C₂²×C₇	1	2	yes	complemented
634	#433	C₂²×C₇	1	2	yes	—
635	#433	C₂²×C₇	1	2	yes	complemented
636	#432	C₂²×C₇	1	1	yes	characteristic
637	#432	C₂²×C₇	1	1	yes	characteristic, complemented
638	#431	C₂²×C₇	1	1	yes	characteristic
639	#431	C₂²×C₇	1	1	yes	characteristic, complemented
640	#423	C₂²×C₇	1	1	yes	characteristic, complemented
641	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
642	#408	C₂²×C₇	1	2	yes	—
643	#405	C₂²×C₇	1	2	yes	complemented
644	C₂³×C₇	—	2	2	no	—
645	C₂³×C₇	—	2	1	no	—
646	C₂³×C₇	—	2	1	no	—
647	C₂³×C₇	—	2	1	no	—
648	C₂³×C₇	—	4	2	no	—
649	C₂³×C₇	—	8	1	no	—
650	C₂³×C₇	—	8	1	no	—
651	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
652	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
653	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
654	C₇×Q₈	—	2	1	no	—
655	C₇×Q₈	—	2	2	no	—
656	C₇×Q₈	—	2	2	no	—
657	C₇×Q₈	—	2	1	no	—
658	C₇×Q₈	—	4	1	no	—
659	C₇×Q₈	—	4	2	no	—
660	C₇×Q₈	—	4	2	no	—
661	C₇×Q₈	—	8	2	no	—
662	C₇×Q₈	—	8	1	no	—
663	C₇×Q₈	—	8	1	no	—
664	C₇×D₄	—	2	1	no	—
665	C₇×D₄	—	2	1	no	—
666	C₇×D₄	—	2	2	no	—
667	C₇×D₄	—	2	1	no	—
668	C₇×D₄	—	2	2	no	—
669	C₇×D₄	—	2	1	no	—
670	C₇×D₄	—	2	1	no	—
671	C₇×D₄	—	2	1	no	—
672	C₇×D₄	—	4	1	no	—
673	C₇×D₄	—	4	1	no	—
674	C₇×D₄	—	4	1	no	—
675	C₇×D₄	—	4	2	no	—
676	C₇×D₄	—	4	2	no	—
677	C₇×D₄	—	4	4	no	—
678	C₇×D₄	—	4	2	no	—
679	C₇×D₄	—	4	2	no	—
680	C₇×D₄	—	8	1	no	—
681	C₇×D₄	—	8	1	no	—
682	C₇×D₄	—	8	1	no	—
683	C₇×D₄	—	8	1	no	—
684	C₇×D₄	—	8	1	no	—
685	C₇×D₄	—	8	1	no	—
686	C₇×D₄	—	8	2	no	—
687	C₇×D₄	—	8	2	no	—
688	C₇×D₄	—	8	1	no	—
689	C₇×D₄	—	8	1	no	—
690	C₇×D₄	—	8	1	no	—
691	C₇×D₄	—	8	1	no	—
692	C₂×C₄×C₇	—	2	2	no	—
693	C₂×C₄×C₇	—	2	2	no	—
694	C₂×C₄×C₇	—	2	2	no	—
695	C₂×C₄×C₇	—	2	1	no	—
696	C₂×C₄×C₇	—	2	1	no	—
697	C₂×C₄×C₇	—	2	1	no	—
698	C₂×C₄×C₇	—	2	1	no	—
699	C₂×C₄×C₇	—	2	1	no	—
700	C₂×C₄×C₇	—	2	1	no	—
701	C₂×C₄×C₇	—	2	1	no	—
702	C₂×C₄×C₇	—	2	2	no	—
703	C₂×C₄×C₇	—	2	1	no	—
704	C₂×C₄×C₇	—	2	1	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	—	4	1	no	—
710	C₂×C₄×C₇	—	4	1	no	—
711	C₂×C₄×C₇	—	4	1	no	—
712	C₂×C₄×C₇	—	4	4	no	—
713	C₂×C₄×C₇	—	4	2	no	—
714	C₂×C₄×C₇	—	4	2	no	—
715	C₂×C₄×C₇	—	4	2	no	—
716	C₂×C₄×C₇	—	4	2	no	—
717	C₂×C₄×C₇	—	8	1	no	—
718	C₂×C₄×C₇	—	8	1	no	—
719	C₂×C₄×C₇	—	8	1	no	—
720	C₂×C₄×C₇	—	8	2	no	—
721	C₂×C₄×C₇	—	8	2	no	—
722	C₂×C₄×C₇	—	8	1	no	—
723	C₂×C₄×C₇	—	8	2	no	—
724	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
725	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
726	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
727	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
728	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
729	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
730	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
731	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
732	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
733	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
734	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
735	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
736	C₇×C₈	—	2	2	no	—
737	C₇×C₈	—	2	2	no	—
738	C₇×C₈	—	2	2	no	—
739	C₇×C₈	—	2	2	no	—
740	C₂×#41	—	2	1	no	—
741	C₂×#41	—	2	1	no	—
742	C₂×#41	—	2	1	no	—
743	C₂×#41	—	2	1	no	—
744	C₂×#41	C₂³×C₇	1	1	yes	characteristic
745	C₂×#41	C₂³×C₇	1	2	yes	—
746	C₂×#41	C₂³×C₇	1	1	yes	characteristic
747	C₂²×Q₈	—	2	1	no	—
748	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
749	C₂³×C₄	—	2	1	no	—
750	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
751	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
752	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
753	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
754	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
755	C₂×D₈	C₂³×C₇	1	2	yes	—
756	C₂×D₈	C₂³×C₇	1	2	yes	—
757	C₂×D₈	C₂³×C₇	1	2	yes	—
758	C₂×M₁₆	C₂³×C₇	1	2	yes	—
759	C₂²×C₈	C₂³×C₇	1	2	yes	—
760	C₄⋊Q₈	—	2	1	no	—
761	C₄⋊Q₈	—	2	1	no	—
762	C₄⋊Q₈	—	2	1	no	—
763	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
764	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
765	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
766	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
767	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
768	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
769	#127	—	2	1	no	—
770	#127	C₂³×C₇	1	1	yes	characteristic
771	#127	C₂³×C₇	1	1	yes	characteristic
772	#127	C₂³×C₇	1	1	yes	characteristic
773	#126	—	2	1	no	—
774	#126	—	2	1	no	—
775	#126	—	2	2	no	—
776	#126	—	2	2	no	—
777	#126	—	2	1	no	—
778	#126	—	2	1	no	—
779	#125	—	2	1	no	—
780	#125	—	2	1	no	—
781	#125	—	2	1	no	—
782	#125	C₂³×C₇	1	1	yes	characteristic
783	#125	C₂³×C₇	1	1	yes	characteristic
784	#124	—	2	1	no	—
785	#124	—	2	1	no	—
786	#124	—	2	1	no	—
787	#124	—	2	2	no	—
788	#124	—	2	2	no	—
789	#124	—	2	1	no	—
790	#124	—	2	1	no	—
791	#124	—	2	1	no	—
792	#124	—	2	1	no	—
793	#124	C₂³×C₇	1	1	yes	characteristic
794	#124	C₂³×C₇	1	1	yes	characteristic
795	#124	C₂³×C₇	1	2	yes	—
796	#123	—	2	1	no	—
797	#123	—	2	1	no	—
798	#123	—	2	1	no	—
799	#123	—	2	1	no	—
800	#123	—	2	1	no	—
801	#123	—	2	1	no	—
802	#123	—	2	1	no	—
803	#123	—	2	1	no	—
804	#123	—	2	2	no	—
805	#123	—	2	2	no	—
806	C₂²⋊Q₈	—	2	1	no	—
807	C₂²⋊Q₈	—	2	2	no	—
808	C₂²⋊Q₈	—	2	1	no	—
809	C₂²⋊Q₈	—	2	1	no	—
810	C₂²⋊Q₈	—	2	1	no	—
811	C₂²⋊Q₈	—	2	1	no	—
812	C₂²⋊Q₈	—	2	2	no	—
813	C₂²⋊Q₈	—	2	2	no	—
814	C₂²⋊Q₈	—	2	1	no	—
815	C₂²⋊Q₈	—	2	1	no	—
816	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
817	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
818	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
819	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
820	#121	—	2	1	no	—
821	#121	—	2	1	no	—
822	#121	—	2	1	no	—
823	#121	—	2	2	no	—
824	#121	—	2	2	no	—
825	#121	—	2	2	no	—
826	#121	—	2	1	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
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	C₂³×C₇	1	1	yes	characteristic
839	#121	C₂³×C₇	1	1	yes	characteristic
840	#121	C₂³×C₇	1	1	yes	characteristic
841	#121	C₂³×C₇	1	1	yes	characteristic
842	#121	C₂³×C₇	1	1	yes	characteristic
843	#121	C₂³×C₇	1	1	yes	characteristic
844	#121	C₂³×C₇	1	2	yes	—
845	#121	C₂³×C₇	1	2	yes	—
846	#120	—	2	1	no	—
847	#120	—	2	1	no	—
848	#120	—	2	1	no	—
849	#120	—	2	1	no	—
850	C₄×Q₈	—	2	1	no	—
851	C₄×Q₈	—	2	1	no	—
852	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
853	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
854	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
855	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
856	C₄×Q₈	C₂³×C₇	1	2	yes	—
857	C₄×Q₈	C₂³×C₇	1	2	yes	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	2	no	—
863	C₄×D₄	—	2	2	no	—
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	1	no	—
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	C₇×D₄	1	1	yes	characteristic
873	C₄×D₄	C₇×D₄	1	1	yes	characteristic
874	C₄×D₄	C₇×D₄	1	1	yes	characteristic
875	C₄×D₄	C₇×D₄	1	1	yes	characteristic
876	C₄×D₄	C₇×D₄	1	1	yes	characteristic
877	C₄×D₄	C₇×D₄	1	1	yes	characteristic
878	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
879	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
880	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
881	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
882	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
883	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
884	C₄×D₄	C₂³×C₇	1	2	yes	—
885	C₄×D₄	C₂³×C₇	1	2	yes	—
886	#117	—	2	1	no	—
887	#117	—	2	1	no	—
888	#117	—	2	2	no	—
889	#117	—	2	1	no	—
890	#117	—	2	1	no	—
891	#117	—	2	1	no	—
892	#117	C₂³×C₇	1	1	yes	characteristic
893	#117	C₂³×C₇	1	1	yes	characteristic
894	#117	C₂³×C₇	1	1	yes	characteristic
895	#117	C₂³×C₇	1	1	yes	characteristic
896	C₂×C₄⋊C₄	—	2	1	no	—
897	C₂×C₄⋊C₄	—	2	2	no	—
898	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
900	C₂×C₂²⋊C₄	—	2	1	no	—
901	C₂×C₄²	—	2	1	no	—
902	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
903	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
904	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
905	#107	C₂³×C₇	1	2	yes	—
906	#107	C₂³×C₇	1	2	yes	—
907	#106	C₂³×C₇	1	2	yes	—
908	#106	C₂³×C₇	1	2	yes	—
909	#106	C₂³×C₇	1	2	yes	—
910	#106	C₂³×C₇	1	2	yes	—
911	#106	C₂³×C₇	1	2	yes	—
912	#106	C₂³×C₇	1	2	yes	—
913	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
914	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
915	C₄⋊C₈	C₂³×C₇	1	2	yes	—
916	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
917	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
918	C₄⋊C₈	C₂³×C₇	1	2	yes	—
919	#103	C₂³×C₇	1	2	yes	—
920	#103	C₂³×C₇	1	2	yes	—
921	#103	C₂³×C₇	1	2	yes	—
922	#103	C₂³×C₇	1	2	yes	—
923	#103	C₂³×C₇	1	2	yes	—
924	#103	C₂³×C₇	1	2	yes	—
925	#102	C₂³×C₇	1	2	yes	—
926	#102	C₂³×C₇	1	2	yes	—
927	#102	C₂³×C₇	1	2	yes	—
928	#102	C₂³×C₇	1	2	yes	—
929	#102	C₂³×C₇	1	2	yes	—
930	#102	C₂³×C₇	1	2	yes	—
931	#102	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	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
936	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
937	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
938	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
939	#97	C₂³×C₇	1	2	yes	—
940	#97	C₂³×C₇	1	2	yes	—
941	C₄×C₈	C₂³×C₇	1	2	yes	—
942	C₄×C₈	C₂³×C₇	1	2	yes	—
943	C₂²×C₇	—	2	1	no	—
944	C₂²×C₇	—	2	1	no	—
945	C₂²×C₇	—	2	1	no	—
946	C₂²×C₇	—	2	1	no	—
947	C₂²×C₇	—	2	1	no	—
948	C₂²×C₇	—	2	1	no	—
949	C₂²×C₇	—	2	1	no	—
950	C₂²×C₇	—	2	1	no	—
951	C₂²×C₇	—	2	1	no	—
952	C₂²×C₇	—	4	2	no	—
953	C₂²×C₇	—	4	1	no	—
954	C₂²×C₇	—	4	1	no	—
955	C₂²×C₇	—	4	1	no	—
956	C₂²×C₇	—	4	2	no	—
957	C₂²×C₇	—	4	1	no	—
958	C₂²×C₇	—	4	1	no	—
959	C₂²×C₇	—	4	1	no	—
960	C₂²×C₇	—	4	1	no	—
961	C₂²×C₇	—	4	1	no	—
962	C₂²×C₇	—	4	1	no	—
963	C₂²×C₇	—	4	2	no	—
964	C₂²×C₇	—	8	4	no	—
965	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
966	C₄×C₇	—	2	1	no	—
967	C₄×C₇	—	2	1	no	—
968	C₄×C₇	—	2	1	no	—
969	C₄×C₇	—	2	1	no	—
970	C₄×C₇	—	2	1	no	—
971	C₄×C₇	—	2	1	no	—
972	C₄×C₇	—	2	1	no	—
973	C₄×C₇	—	2	1	no	—
974	C₄×C₇	—	2	1	no	—
975	C₄×C₇	—	2	1	no	—
976	C₄×C₇	—	4	2	no	—
977	C₄×C₇	—	4	2	no	—
978	C₄×C₇	—	4	1	no	—
979	C₄×C₇	—	4	1	no	—
980	C₄×C₇	—	4	2	no	—
981	C₄×C₇	—	4	1	no	—
982	C₄×C₇	—	4	1	no	—
983	C₄×C₇	—	4	1	no	—
984	C₄×C₇	#577	1	2	yes	—
985	C₄×C₇	#585	1	1	yes	characteristic
986	C₄×C₇	#585	1	1	yes	characteristic
987	C₂⁴	—	2	1	no	—
988	#41	—	4	1	no	—
989	#41	—	4	1	no	—
990	#41	—	4	1	no	—
991	#41	—	4	1	no	—
992	#41	—	4	2	no	—
993	#41	—	4	2	no	—
994	#41	—	8	2	no	—
995	#41	—	8	2	no	—
996	#41	—	8	2	no	—
997	#41	—	8	2	no	—
998	C₂×Q₈	—	2	1	no	—
999	C₂×Q₈	—	2	1	no	—
1000	C₂×Q₈	—	2	2	no	—
1001	C₂×Q₈	—	2	1	no	—
1002	C₂×Q₈	—	2	1	no	—
1003	C₂×Q₈	—	8	2	no	—
1004	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1005	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1006	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1007	C₂×D₄	—	2	1	no	—
1008	C₂×D₄	—	2	2	no	—
1009	C₂×D₄	—	2	1	no	—
1010	C₂×D₄	—	2	1	no	—
1011	C₂×D₄	—	2	1	no	—
1012	C₂×D₄	—	2	1	no	—
1013	C₂×D₄	—	2	1	no	—
1014	C₂×D₄	—	2	1	no	—
1015	C₂×D₄	—	2	2	no	—
1016	C₂×D₄	—	2	2	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	1	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	2	1	no	—
1022	C₂×D₄	—	2	1	no	—
1023	C₂×D₄	—	2	1	no	—
1024	C₂×D₄	—	4	1	no	—
1025	C₂×D₄	—	4	1	no	—
1026	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1027	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1028	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1029	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1030	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1031	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1032	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	1	no	—
1036	C₂²×C₄	—	2	1	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	2	1	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	1	no	—
1045	C₂²×C₄	—	8	2	no	—
1046	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1047	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1048	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1049	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1050	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1051	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1054	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1055	Q₁₆	—	4	2	no	—
1056	SD₁₆	—	4	2	no	—
1057	SD₁₆	—	4	2	no	—
1058	SD₁₆	—	4	2	no	—
1059	SD₁₆	—	4	2	no	—
1060	D₈	—	4	2	no	—
1061	D₈	—	4	2	no	—
1062	D₈	—	4	2	no	—
1063	M₁₆	—	4	2	no	—
1064	C₂×C₈	—	4	2	no	—
1065	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1066	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1067	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1068	C₂×C₈	C₂⁴×C₇	1	2	yes	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	1	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	1	no	—
1076	C₄⋊C₄	—	2	1	no	—
1077	C₄⋊C₄	—	2	1	no	—
1078	C₄⋊C₄	—	2	1	no	—
1079	C₄⋊C₄	—	2	1	no	—
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	1	no	—
1084	C₄⋊C₄	—	2	1	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	1	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1091	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1092	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1093	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1094	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1095	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1096	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1097	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1098	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1099	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1100	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1101	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	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	—	2	1	no	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	1	no	—
1118	C₂²⋊C₄	—	2	1	no	—
1119	C₂²⋊C₄	—	2	1	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	1	no	—
1126	C₂²⋊C₄	—	2	1	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1130	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1131	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1132	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1133	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1134	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1135	C₄²	—	2	1	no	—
1136	C₄²	—	2	1	no	—
1137	C₄²	—	2	1	no	—
1138	C₄²	—	2	2	no	—
1139	C₄²	—	2	2	no	—
1140	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1141	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1142	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1143	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1144	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1145	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1146	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1147	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1148	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1149	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1150	C₂×C₇	—	4	1	no	—
1151	C₂×C₇	—	4	1	no	—
1152	C₂×C₇	—	4	1	no	—
1153	C₂×C₇	—	8	2	no	—
1154	C₂×C₇	—	8	1	no	—
1155	C₂×C₇	—	8	1	no	—
1156	C₂×C₇	—	8	1	no	—
1157	C₂×C₇	#3449	1	1	yes	characteristic
1158	C₂×C₇	C₂×#577	1	1	yes	characteristic
1159	C₂×C₇	#3585	1	1	yes	characteristic
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	4	2	no	—
1165	C₂³	—	8	1	no	—
1166	C₂³	—	8	1	no	—
1167	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1168	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1169	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1170	Q₈	—	2	1	no	—
1171	Q₈	—	2	2	no	—
1172	Q₈	—	2	2	no	—
1173	Q₈	—	2	1	no	—
1174	Q₈	—	4	1	no	—
1175	Q₈	—	4	2	no	—
1176	Q₈	—	4	2	no	—
1177	Q₈	—	8	2	no	—
1178	Q₈	—	8	1	no	—
1179	Q₈	—	8	1	no	—
1180	D₄	—	2	1	no	—
1181	D₄	—	2	1	no	—
1182	D₄	—	2	2	no	—
1183	D₄	—	2	1	no	—
1184	D₄	—	2	2	no	—
1185	D₄	—	2	1	no	—
1186	D₄	—	2	1	no	—
1187	D₄	—	2	1	no	—
1188	D₄	—	4	1	no	—
1189	D₄	—	4	1	no	—
1190	D₄	—	4	1	no	—
1191	D₄	—	4	2	no	—
1192	D₄	—	4	2	no	—
1193	D₄	—	4	4	no	—
1194	D₄	—	4	2	no	—
1195	D₄	—	4	2	no	—
1196	D₄	—	8	1	no	—
1197	D₄	—	8	1	no	—
1198	D₄	—	8	1	no	—
1199	D₄	—	8	1	no	—
1200	D₄	—	8	1	no	—
1201	D₄	—	8	1	no	—
1202	D₄	—	8	1	no	—
1203	D₄	—	8	1	no	—
1204	D₄	—	8	1	no	—
1205	D₄	—	8	1	no	—
1206	D₄	—	8	2	no	—
1207	D₄	—	8	2	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	4	1	no	—
1226	C₂×C₄	—	4	1	no	—
1227	C₂×C₄	—	4	1	no	—
1228	C₂×C₄	—	4	4	no	—
1229	C₂×C₄	—	4	2	no	—
1230	C₂×C₄	—	4	2	no	—
1231	C₂×C₄	—	4	2	no	—
1232	C₂×C₄	—	4	2	no	—
1233	C₂×C₄	—	8	1	no	—
1234	C₂×C₄	—	8	1	no	—
1235	C₂×C₄	—	8	1	no	—
1236	C₂×C₄	—	8	2	no	—
1237	C₂×C₄	—	8	2	no	—
1238	C₂×C₄	—	8	1	no	—
1239	C₂×C₄	—	8	2	no	—
1240	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1241	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1242	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1243	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1244	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1245	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1246	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1247	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1248	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1249	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1250	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1251	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1252	C₈	—	2	2	no	—
1253	C₈	—	2	2	no	—
1254	C₈	—	2	2	no	—
1255	C₈	—	2	2	no	—
1256	C₇	#60989	1	1	yes	characteristic, direct product factor, Sylow
1257	C₂²	—	2	1	no	—
1258	C₂²	—	2	1	no	—
1259	C₂²	—	2	1	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	4	2	no	—
1270	C₂²	—	4	2	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	—	4	1	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	2	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	8	4	no	—
1279	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1280	C₄	—	2	1	no	—
1281	C₄	—	2	1	no	—
1282	C₄	—	2	1	no	—
1283	C₄	—	2	1	no	—
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	4	2	no	—
1294	C₄	—	4	2	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	2	no	—
1298	C₄	C₇×#577	1	2	yes	—
1299	C₄	C₇×#585	1	1	yes	characteristic
1300	C₄	C₇×#585	1	1	yes	characteristic
1301	C₂	—	4	1	no	—
1302	C₂	—	4	1	no	—
1303	C₂	—	4	1	no	—
1304	C₂	—	8	1	no	—
1305	C₂	—	8	1	no	—
1306	C₂	—	8	1	no	—
1307	C₂	—	8	2	no	—
1308	C₂	C₇×#3449	1	1	yes	characteristic
1309	C₂	C₂×C₇×#577	1	1	yes	characteristic
1310	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×#3511	C₂	semidirect
2. C₇×#3460	C₂	semidirect
3. C₇×#3253	C₂	semidirect
4. C₇×#3252	C₂	semidirect
5. C₇×#3247	C₂	semidirect
6. C₇×#3246	C₂	semidirect
7. C₇×#3244	C₂	semidirect
8. C₇×#3238	C₂	semidirect
9. C₇×#3227	C₂	semidirect
10. C₇×#3224	C₂	semidirect
11. C₇×#3214	C₂	semidirect
12. C₇×#3212	C₂	semidirect
13. C₇×#3204	C₂	semidirect
14. C₇×#3198	C₂	semidirect
15. C₇×#3179	C₂	semidirect
16. C₇×#3173	C₂	semidirect
17. C₇×#3125	C₂	semidirect
18. C₇×#3119	C₂	semidirect
19. C₇×#3116	C₂	semidirect
20. C₇×#3109	C₂	semidirect
21. C₇×#3106	C₂	semidirect
22. C₇×#3101	C₂	semidirect
23. C₇×#2925	C₂	semidirect
37. C₇×#542	C₂²	semidirect
48. C₇×#533	C₂²	semidirect
53. C₇×#532	C₂²	semidirect
54. C₇×#532	C₂²	semidirect
55. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
61. C₇×#520	C₂²	semidirect
65. C₇×#501	C₂²	semidirect
66. C₇×#498	C₂²	semidirect
70. C₇×#489	C₂²	semidirect
71. C₇×#488	C₂²	semidirect
75. C₇×#483	C₂²	semidirect
79. C₇×#481	C₂²	semidirect
81. C₇×#479	C₂²	semidirect
82. C₇×#478	C₂²	semidirect
83. C₇×#477	C₂²	semidirect
84. C₇×#477	C₂²	semidirect
89. C₇×#476	C₂²	semidirect
90. C₇×#476	C₂²	semidirect
91. C₇×#476	C₂²	semidirect
92. C₇×#475	C₂²	semidirect
93. C₇×#470	C₂²	semidirect
95. C₇×#469	C₂²	semidirect
99. C₇×#465	C₂²	semidirect
100. C₇×#465	C₂²	semidirect
103. C₇×#462	C₂²	semidirect
106. C₇×#461	C₂²	semidirect
108. C₇×#460	C₂²	semidirect
112. C₇×#459	C₂²	semidirect
114. C₇×#452	C₂²	semidirect
119. C₇×#449	C₂²	semidirect
123. C₇×#441	C₂²	semidirect
124. C₇×#440	C₂²	semidirect
127. C₄×C₇×SD₁₆	C₂²	semidirect
128. C₄×C₇×D₈	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. #60989	C₇	direct (N × H)
343. #3511	C₂×C₇	semidirect
344. #3460	C₂×C₇	semidirect
345. #3253	C₂×C₇	semidirect
346. #3252	C₂×C₇	semidirect
347. #3247	C₂×C₇	semidirect
348. #3246	C₂×C₇	semidirect
349. #3244	C₂×C₇	semidirect
350. #3238	C₂×C₇	semidirect
351. #3227	C₂×C₇	semidirect
352. #3224	C₂×C₇	semidirect
353. #3214	C₂×C₇	semidirect
354. #3212	C₂×C₇	semidirect
355. #3204	C₂×C₇	semidirect
356. #3198	C₂×C₇	semidirect
357. #3179	C₂×C₇	semidirect
358. #3173	C₂×C₇	semidirect
359. #3125	C₂×C₇	semidirect
360. #3119	C₂×C₇	semidirect
361. #3116	C₂×C₇	semidirect
362. #3109	C₂×C₇	semidirect
363. #3106	C₂×C₇	semidirect
364. #3101	C₂×C₇	semidirect
365. #2925	C₂×C₇	semidirect
542. #542	C₂²×C₇	semidirect
553. #533	C₂²×C₇	semidirect
558. #532	C₂²×C₇	semidirect
559. #532	C₂²×C₇	semidirect
560. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
566. #520	C₂²×C₇	semidirect
570. #501	C₂²×C₇	semidirect
571. #498	C₂²×C₇	semidirect
575. #489	C₂²×C₇	semidirect
576. #488	C₂²×C₇	semidirect
580. #483	C₂²×C₇	semidirect
584. #481	C₂²×C₇	semidirect
586. #479	C₂²×C₇	semidirect
587. #478	C₂²×C₇	semidirect
588. #477	C₂²×C₇	semidirect
589. #477	C₂²×C₇	semidirect
594. #476	C₂²×C₇	semidirect
595. #476	C₂²×C₇	semidirect
596. #476	C₂²×C₇	semidirect
597. #475	C₂²×C₇	semidirect
598. #470	C₂²×C₇	semidirect
600. #469	C₂²×C₇	semidirect
604. #465	C₂²×C₇	semidirect
605. #465	C₂²×C₇	semidirect
608. #462	C₂²×C₇	semidirect
611. #461	C₂²×C₇	semidirect
613. #460	C₂²×C₇	semidirect
617. #459	C₂²×C₇	semidirect
619. #452	C₂²×C₇	semidirect
624. #449	C₂²×C₇	semidirect
628. #441	C₂²×C₇	semidirect
629. #440	C₂²×C₇	semidirect
632. C₄×SD₁₆	C₂²×C₇	semidirect
633. C₄×D₈	C₂²×C₇	semidirect
635. #433	C₂²×C₇	semidirect
637. #432	C₂²×C₇	semidirect
639. #431	C₂²×C₇	semidirect
640. #423	C₂²×C₇	semidirect
641. C₂×C₄⋊C₈	C₂²×C₇	semidirect
643. #405	C₂²×C₇	semidirect
1256. C₇	#60989	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×#3511	2
C₇×#3460	2
C₇×#3253	2
C₇×#3252	2
C₇×#3247	2
C₇×#3246	2
C₇×#3244	2
C₇×#3238	2
C₇×#3227	2
C₇×#3224	2
C₇×#3214	2
C₇×#3212	2
C₇×#3204	2
C₇×#3198	2
C₇×#3179	2
C₇×#3173	2
C₇×#3125	2
C₇×#3119	2
C₇×#3116	2
C₇×#3109	2
C₇×#3106	2
C₇×#3101	2
C₇×#2925	2
#60989	7

Subgroups — C7×#60989 #13238205

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60989 #13238205