Subgroups — C₇×#62014 #13239230

Order 1792.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3562	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3397	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3309	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3308	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3307	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3306	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3301	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3297	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3287	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3284	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3271	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3268	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3268	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3259	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3221	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3214	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3045	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#3035	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#137	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×C₇×#135	C₂²	1	1	yes	characteristic
35	C₂×C₇×#135	C₂²	1	1	yes	characteristic
36	C₂×C₇×#135	C₂²	1	1	yes	characteristic
37	C₂×C₇×#135	C₂²	1	1	yes	characteristic, complemented
38	C₇×#562	—	2	1	no	—
39	C₇×#560	—	2	1	no	—
40	C₇×#559	C₂²	1	1	yes	characteristic
41	C₇×#557	C₂²	1	1	yes	characteristic, complemented
42	C₇×#556	C₂²	1	1	yes	characteristic
43	C₇×#553	—	2	1	no	—
44	C₇×#553	—	2	1	no	—
45	C₇×#553	—	2	1	no	—
46	C₇×#553	C₂²	1	1	yes	characteristic
47	C₇×#553	C₂²	1	1	yes	characteristic, complemented
48	C₇×#551	—	2	1	no	—
49	C₇×#550	—	2	1	no	—
50	C₇×#550	C₂²	1	1	yes	characteristic
51	C₇×#550	C₂²	1	1	yes	characteristic
52	C₇×#550	C₂²	1	1	yes	characteristic
53	C₇×#550	C₂²	1	1	yes	characteristic, complemented
54	C₇×#550	C₂²	1	1	yes	characteristic, complemented
55	C₇×#548	C₂²	1	1	yes	characteristic
56	C₇×#548	C₂²	1	1	yes	characteristic
57	C₇×#547	—	2	1	no	—
58	C₇×#547	C₂²	1	1	yes	characteristic
59	C₇×#547	C₂²	1	1	yes	characteristic
60	C₇×#546	C₂²	1	1	yes	characteristic
61	C₇×#546	C₂²	1	1	yes	characteristic
62	C₇×#541	C₂²	1	1	yes	characteristic
63	C₇×#540	—	2	1	no	—
64	C₇×#540	—	2	1	no	—
65	C₇×#540	—	2	1	no	—
66	C₇×#540	C₂²	1	1	yes	characteristic
67	C₇×#540	C₂²	1	1	yes	characteristic
68	C₇×#540	C₂²	1	1	yes	characteristic, complemented
69	C₇×#539	—	2	1	no	—
70	C₇×#538	—	2	1	no	—
71	C₇×#538	—	2	1	no	—
72	C₇×#536	C₂²	1	1	yes	characteristic
73	C₇×#535	C₂²	1	1	yes	characteristic
74	C₇×#532	—	2	1	no	—
75	C₇×#532	C₂²	1	1	yes	characteristic
76	C₇×#532	C₂²	1	1	yes	characteristic, complemented
77	C₇×#529	—	2	1	no	—
78	C₇×#529	C₂²	1	1	yes	characteristic
79	C₇×#529	C₂²	1	1	yes	characteristic
80	C₇×#520	C₂²	1	1	yes	characteristic
81	C₇×#520	C₂²	1	1	yes	characteristic, complemented
82	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
83	C₇×#496	C₂²	1	1	yes	characteristic
84	C₇×#496	C₂²	1	1	yes	characteristic
85	C₇×#496	C₂²	1	1	yes	characteristic
86	C₇×#496	C₂²	1	1	yes	characteristic, complemented
87	C₇×#493	C₂²	1	1	yes	characteristic
88	C₇×#492	C₂²	1	1	yes	characteristic, complemented
89	C₇×#491	C₂²	1	1	yes	characteristic, complemented
90	C₇×#490	C₂²	1	1	yes	characteristic
91	C₇×#489	C₂²	1	1	yes	characteristic
92	C₇×#489	C₂²	1	1	yes	characteristic, complemented
93	C₇×#488	C₂²	1	1	yes	characteristic
94	C₇×#488	C₂²	1	1	yes	characteristic
95	C₇×#485	C₂²	1	1	yes	characteristic, complemented
96	C₇×#484	C₂²	1	1	yes	characteristic
97	C₇×#483	C₂²	1	1	yes	characteristic
98	C₇×#482	C₂²	1	1	yes	characteristic
99	C₇×#481	C₂²	1	1	yes	characteristic
100	C₇×#480	C₂²	1	1	yes	characteristic, complemented
101	C₇×#479	C₂²	1	1	yes	characteristic, complemented
102	C₇×#479	C₂²	1	1	yes	characteristic, complemented
103	C₇×#479	C₂²	1	1	yes	characteristic, complemented
104	C₇×#478	C₂²	1	1	yes	characteristic
105	C₇×#478	C₂²	1	1	yes	characteristic, complemented
106	C₇×#478	C₂²	1	1	yes	characteristic, complemented
107	C₇×#478	C₂²	1	1	yes	characteristic, complemented
108	C₇×#478	C₂²	1	1	yes	characteristic, complemented
109	C₇×#477	C₂²	1	1	yes	characteristic, complemented
110	C₇×#476	C₂²	1	1	yes	characteristic
111	C₇×#469	C₂²	1	1	yes	characteristic
112	C₇×#469	C₂²	1	1	yes	characteristic, complemented
113	C₇×#468	C₂²	1	1	yes	characteristic
114	C₇×#468	C₂²	1	1	yes	characteristic
115	C₇×#466	C₂²	1	1	yes	characteristic
116	C₇×#466	C₂²	1	1	yes	characteristic
117	C₇×#466	C₂²	1	1	yes	characteristic
118	C₇×#466	C₂²	1	1	yes	characteristic, complemented
119	C₇×#465	C₂²	1	1	yes	characteristic
120	C₇×#465	C₂²	1	1	yes	characteristic
121	C₇×#465	C₂²	1	1	yes	characteristic, complemented
122	C₇×#465	C₂²	1	1	yes	characteristic, complemented
123	C₇×#464	C₂²	1	1	yes	characteristic
124	C₇×#464	C₂²	1	1	yes	characteristic
125	C₇×#464	C₂²	1	1	yes	characteristic
126	C₇×#464	C₂²	1	1	yes	characteristic
127	C₇×#464	C₂²	1	1	yes	characteristic, complemented
128	C₇×#463	C₂²	1	1	yes	characteristic
129	C₇×#463	C₂²	1	1	yes	characteristic
130	C₇×#463	C₂²	1	1	yes	characteristic
131	C₇×#463	C₂²	1	1	yes	characteristic
132	C₇×#463	C₂²	1	1	yes	characteristic
133	C₇×#463	C₂²	1	1	yes	characteristic
134	C₇×#463	C₂²	1	1	yes	characteristic, complemented
135	C₇×#462	C₂²	1	1	yes	characteristic, complemented
136	C₇×#462	C₂²	1	1	yes	characteristic, complemented
137	C₇×#461	C₂²	1	1	yes	characteristic, complemented
138	C₇×#461	C₂²	1	1	yes	characteristic, complemented
139	C₇×#461	C₂²	1	1	yes	characteristic, complemented
140	C₇×#461	C₂²	1	1	yes	characteristic, complemented
141	C₇×#460	C₂²	1	1	yes	characteristic
142	C₇×#460	C₂²	1	1	yes	characteristic
143	C₇×#460	C₂²	1	1	yes	characteristic, complemented
144	C₇×#460	C₂²	1	1	yes	characteristic, complemented
145	C₇×#460	C₂²	1	1	yes	characteristic, complemented
146	C₇×#459	C₂²	1	1	yes	characteristic
147	C₇×#459	C₂²	1	1	yes	characteristic
148	C₇×#459	C₂²	1	1	yes	characteristic
149	C₇×#459	C₂²	1	1	yes	characteristic
150	C₇×#459	C₂²	1	1	yes	characteristic
151	C₇×#459	C₂²	1	1	yes	characteristic
152	C₇×#459	C₂²	1	1	yes	characteristic, complemented
153	C₇×#452	C₂²	1	1	yes	characteristic
154	C₇×#452	C₂²	1	1	yes	characteristic
155	C₇×#452	C₂²	1	1	yes	characteristic, complemented
156	C₇×#449	C₂²	1	1	yes	characteristic
157	C₇×#449	C₂²	1	1	yes	characteristic
158	C₇×#449	C₂²	1	1	yes	characteristic
159	C₇×#449	C₂²	1	1	yes	characteristic
160	C₇×#449	C₂²	1	1	yes	characteristic
161	C₇×#449	C₂²	1	1	yes	characteristic
162	C₇×#449	C₂²	1	1	yes	characteristic
163	C₇×#449	C₂²	1	1	yes	characteristic
164	C₇×#449	C₂²	1	1	yes	characteristic, complemented
165	C₇×#449	C₂²	1	1	yes	characteristic, complemented
166	C₇×#449	C₂²	1	1	yes	characteristic, complemented
167	C₇×#448	C₂²	1	1	yes	characteristic, complemented
168	C₇×#448	C₂²	1	1	yes	characteristic, complemented
169	C₇×#447	C₂²	1	1	yes	characteristic
170	C₇×#447	C₂²	1	1	yes	characteristic
171	C₇×#446	C₂²	1	1	yes	characteristic, complemented
172	C₇×#446	C₂²	1	1	yes	characteristic, complemented
173	C₇×#442	C₂²	1	1	yes	characteristic
174	C₇×#442	C₂²	1	1	yes	characteristic, complemented
175	C₇×#441	C₂²	1	1	yes	characteristic, complemented
176	C₇×#441	C₂²	1	1	yes	characteristic, complemented
177	C₇×#440	C₂²	1	1	yes	characteristic
178	C₇×#440	C₂²	1	1	yes	characteristic
179	C₇×#440	C₂²	1	1	yes	characteristic, complemented
180	C₇×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
185	C₇×#435	C₂²	1	1	yes	characteristic
186	C₇×#435	C₂²	1	1	yes	characteristic
187	C₇×#435	C₂²	1	1	yes	characteristic
188	C₇×#435	C₂²	1	1	yes	characteristic, complemented
189	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
190	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
191	C₇×#433	C₂²	1	1	yes	characteristic
192	C₇×#433	C₂²	1	1	yes	characteristic, complemented
193	C₇×#432	C₂²	1	1	yes	characteristic, complemented
194	C₇×#424	C₂²	1	1	yes	characteristic
195	C₇×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₇×#417	C₂²	1	1	yes	characteristic
198	C₇×#417	C₂²	1	1	yes	characteristic
199	C₇×#416	C₂²	1	1	yes	characteristic
200	C₇×#416	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₇×#102	C₂²	1	1	yes	characteristic
203	#62014	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	—	2	1	no	—
206	C₂×C₇×#41	—	2	1	no	—
207	C₂×C₇×#41	C₂³	1	1	yes	characteristic
208	C₂×C₇×#41	C₂³	1	1	yes	characteristic
209	C₂×C₇×#41	C₂³	1	1	yes	characteristic
210	C₂×C₇×#41	C₂³	1	1	yes	characteristic
211	C₂×C₇×#41	C₂³	1	1	yes	characteristic
212	C₂×C₇×#41	C₂³	1	1	yes	characteristic
213	C₂×C₇×#41	C₂³	1	1	yes	characteristic
214	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
215	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
216	C₇×#137	—	4	2	no	—
217	C₇×AGL(1,ℤ/8)	—	4	2	no	—
218	C₇×#135	—	4	2	no	—
219	C₇×#135	—	4	2	no	—
220	C₇×#135	—	4	2	no	—
221	C₇×#135	—	4	2	no	—
222	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
240	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
246	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
248	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
249	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
250	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
251	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
252	C₇×C₄⋊Q₈	—	2	1	no	—
253	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
254	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
255	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
256	C₇×#127	—	2	1	no	—
257	C₇×#127	—	2	1	no	—
258	C₇×#127	—	2	1	no	—
259	C₇×#127	—	2	1	no	—
260	C₇×#127	C₂³	1	1	yes	characteristic
261	C₇×#127	C₂³	1	1	yes	characteristic
262	C₇×#127	C₂³	1	1	yes	characteristic
263	C₇×#127	C₂³	1	1	yes	characteristic
264	C₇×#127	C₂³	1	1	yes	characteristic
265	C₇×#126	—	2	1	no	—
266	C₇×#126	—	2	1	no	—
267	C₇×#126	—	2	1	no	—
268	C₇×#126	—	2	1	no	—
269	C₇×#126	—	2	1	no	—
270	C₇×#126	—	2	1	no	—
271	C₇×#126	—	2	1	no	—
272	C₇×#126	D₄	1	1	yes	characteristic
273	C₇×#126	D₄	1	1	yes	characteristic
274	C₇×#125	—	2	1	no	—
275	C₇×#125	—	2	1	no	—
276	C₇×#125	—	2	1	no	—
277	C₇×#125	—	2	1	no	—
278	C₇×#125	D₄	1	1	yes	characteristic
279	C₇×#125	C₂³	1	1	yes	characteristic
280	C₇×#125	C₂³	1	1	yes	characteristic
281	C₇×#125	C₂³	1	1	yes	characteristic
282	C₇×#124	—	2	1	no	—
283	C₇×#124	—	2	1	no	—
284	C₇×#124	—	2	1	no	—
285	C₇×#124	—	2	1	no	—
286	C₇×#124	D₄	1	1	yes	characteristic
287	C₇×#124	C₂³	1	1	yes	characteristic
288	C₇×#124	C₂³	1	1	yes	characteristic
289	C₇×#124	C₂³	1	1	yes	characteristic
290	C₇×#124	C₂³	1	1	yes	characteristic
291	C₇×#124	C₂³	1	1	yes	characteristic
292	C₇×#123	—	2	1	no	—
293	C₇×#123	—	2	1	no	—
294	C₇×#123	—	2	1	no	—
295	C₇×#123	—	2	1	no	—
296	C₇×#123	—	2	1	no	—
297	C₇×#123	—	2	1	no	—
298	C₇×#123	—	2	1	no	—
299	C₇×#123	—	2	1	no	—
300	C₇×#123	—	2	1	no	—
301	C₇×#123	—	2	1	no	—
302	C₇×#123	—	2	1	no	—
303	C₇×#123	—	2	1	no	—
304	C₇×#123	—	2	1	no	—
305	C₇×#123	—	2	1	no	—
306	C₇×#123	—	2	1	no	—
307	C₇×#123	—	2	1	no	—
308	C₇×#123	—	2	1	no	—
309	C₇×#123	—	2	1	no	—
310	C₇×#123	—	2	1	no	—
311	C₇×#123	D₄	1	1	yes	characteristic
312	C₇×#123	D₄	1	1	yes	characteristic
313	C₇×C₂²⋊Q₈	—	2	1	no	—
314	C₇×C₂²⋊Q₈	—	2	1	no	—
315	C₇×C₂²⋊Q₈	—	2	1	no	—
316	C₇×C₂²⋊Q₈	—	2	1	no	—
317	C₇×C₂²⋊Q₈	—	2	1	no	—
318	C₇×C₂²⋊Q₈	—	2	1	no	—
319	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
320	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₇×#121	—	2	1	no	—
324	C₇×#121	—	2	1	no	—
325	C₇×#121	—	2	1	no	—
326	C₇×#121	—	2	1	no	—
327	C₇×#121	—	2	1	no	—
328	C₇×#121	—	2	1	no	—
329	C₇×#121	—	2	1	no	—
330	C₇×#121	—	2	1	no	—
331	C₇×#121	—	2	1	no	—
332	C₇×#121	—	2	1	no	—
333	C₇×#121	—	2	1	no	—
334	C₇×#121	—	2	1	no	—
335	C₇×#121	—	2	1	no	—
336	C₇×#121	—	2	1	no	—
337	C₇×#121	—	2	1	no	—
338	C₇×#121	—	2	1	no	—
339	C₇×#121	—	2	1	no	—
340	C₇×#121	—	2	1	no	—
341	C₇×#121	—	2	1	no	—
342	C₇×#121	—	2	1	no	—
343	C₇×#121	—	2	1	no	—
344	C₇×#121	—	2	1	no	—
345	C₇×#121	—	2	1	no	—
346	C₇×#121	—	2	1	no	—
347	C₇×#121	—	2	1	no	—
348	C₇×#121	—	2	1	no	—
349	C₇×#121	—	2	1	no	—
350	C₇×#121	—	2	1	no	—
351	C₇×#121	—	2	1	no	—
352	C₇×#121	D₄	1	1	yes	characteristic
353	C₇×#121	C₂³	1	1	yes	characteristic
354	C₇×#121	C₂³	1	1	yes	characteristic
355	C₇×#121	C₂³	1	1	yes	characteristic
356	C₇×#121	C₂³	1	1	yes	characteristic
357	C₇×#121	C₂³	1	1	yes	characteristic
358	C₇×#121	C₂³	1	1	yes	characteristic
359	C₇×#121	C₂³	1	1	yes	characteristic
360	C₇×#121	C₂³	1	1	yes	characteristic
361	C₇×#121	C₂³	1	1	yes	characteristic
362	C₇×#120	—	2	1	no	—
363	C₇×#120	—	2	1	no	—
364	C₇×#120	—	2	1	no	—
365	C₇×#120	—	2	1	no	—
366	C₄×C₇×Q₈	—	2	1	no	—
367	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
368	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
369	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
370	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
371	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
372	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
373	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
374	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
375	C₄×C₇×D₄	—	2	1	no	—
376	C₄×C₇×D₄	—	2	1	no	—
377	C₄×C₇×D₄	—	2	1	no	—
378	C₄×C₇×D₄	—	2	1	no	—
379	C₄×C₇×D₄	—	2	1	no	—
380	C₄×C₇×D₄	—	2	1	no	—
381	C₄×C₇×D₄	—	2	1	no	—
382	C₄×C₇×D₄	—	2	1	no	—
383	C₄×C₇×D₄	—	2	1	no	—
384	C₄×C₇×D₄	—	2	1	no	—
385	C₄×C₇×D₄	—	2	1	no	—
386	C₄×C₇×D₄	—	2	1	no	—
387	C₄×C₇×D₄	—	2	1	no	—
388	C₄×C₇×D₄	—	2	1	no	—
389	C₄×C₇×D₄	—	2	1	no	—
390	C₄×C₇×D₄	—	2	1	no	—
391	C₄×C₇×D₄	—	2	1	no	—
392	C₄×C₇×D₄	—	2	1	no	—
393	C₄×C₇×D₄	—	2	1	no	—
394	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
395	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
396	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
397	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
398	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
399	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
400	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
401	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
402	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
403	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
404	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
405	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
406	C₇×#117	—	2	1	no	—
407	C₇×#117	—	2	1	no	—
408	C₇×#117	—	2	1	no	—
409	C₇×#117	—	2	1	no	—
410	C₇×#117	—	2	1	no	—
411	C₇×#117	C₂³	1	1	yes	characteristic
412	C₇×#117	C₂³	1	1	yes	characteristic
413	C₇×#117	C₂³	1	1	yes	characteristic
414	C₂×C₇×C₄⋊C₄	—	2	1	no	—
415	C₂×C₇×C₄⋊C₄	—	2	1	no	—
416	C₂×C₇×C₄⋊C₄	—	2	1	no	—
417	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
419	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
420	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
421	C₂×C₄²×C₇	—	2	1	no	—
422	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
423	C₇×#107	C₂³	1	1	yes	characteristic
424	C₇×#107	C₂³	1	1	yes	characteristic
425	C₇×#107	C₂³	1	1	yes	characteristic
426	C₇×#107	C₂³	1	1	yes	characteristic
427	C₇×#106	C₂³	1	1	yes	characteristic
428	C₇×#106	C₂³	1	1	yes	characteristic
429	C₇×#106	C₂³	1	1	yes	characteristic
430	C₇×#106	C₂³	1	1	yes	characteristic
431	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₇×#103	C₂³	1	1	yes	characteristic
442	C₇×#103	C₂³	1	1	yes	characteristic
443	C₇×#103	C₂³	1	1	yes	characteristic
444	C₇×#103	C₂³	1	1	yes	characteristic
445	C₇×#103	C₂³	1	1	yes	characteristic
446	C₇×#103	C₂³	1	1	yes	characteristic
447	C₇×#103	C₂³	1	1	yes	characteristic
448	C₇×#103	C₂³	1	1	yes	characteristic
449	C₇×#103	C₂³	1	1	yes	characteristic
450	C₇×#103	C₂³	1	1	yes	characteristic
451	C₇×#103	C₂³	1	1	yes	characteristic
452	C₇×#103	C₂³	1	1	yes	characteristic
453	C₇×#103	C₂³	1	1	yes	characteristic
454	C₇×#103	C₂³	1	1	yes	characteristic
455	C₇×#102	C₂³	1	1	yes	characteristic
456	C₇×#102	C₂³	1	1	yes	characteristic
457	C₇×#102	C₂³	1	1	yes	characteristic
458	C₇×#102	C₂³	1	1	yes	characteristic
459	C₇×#102	C₂³	1	1	yes	characteristic
460	C₇×#102	C₂³	1	1	yes	characteristic
461	C₇×#102	C₂³	1	1	yes	characteristic
462	C₇×#102	C₂³	1	1	yes	characteristic
463	C₇×#102	C₂³	1	1	yes	characteristic
464	C₇×#102	C₂³	1	1	yes	characteristic
465	C₇×#102	C₂³	1	1	yes	characteristic
466	C₇×#102	C₂³	1	1	yes	characteristic
467	C₇×#102	C₂³	1	1	yes	characteristic
468	C₇×#102	C₂³	1	1	yes	characteristic
469	C₇×#102	C₂³	1	1	yes	characteristic
470	C₇×#102	C₂³	1	1	yes	characteristic
471	C₇×#102	C₂³	1	1	yes	characteristic
472	C₇×#102	C₂³	1	1	yes	characteristic
473	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₇×#97	C₂³	1	1	yes	characteristic
480	C₇×#97	C₂³	1	1	yes	characteristic
481	C₇×#97	C₂³	1	1	yes	characteristic
482	C₇×#97	C₂³	1	1	yes	characteristic
483	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
485	#3562	C₂×C₇	1	1	yes	characteristic, complemented
486	#3517	C₂×C₇	1	1	yes	characteristic, complemented
487	#3399	C₂×C₇	1	1	yes	characteristic, complemented
488	#3397	C₂×C₇	1	1	yes	characteristic, complemented
489	#3377	C₂×C₇	1	1	yes	characteristic, complemented
490	#3371	C₂×C₇	1	1	yes	characteristic, complemented
491	#3309	C₂×C₇	1	1	yes	characteristic, complemented
492	#3308	C₂×C₇	1	1	yes	characteristic, complemented
493	#3307	C₂×C₇	1	1	yes	characteristic, complemented
494	#3306	C₂×C₇	1	1	yes	characteristic, complemented
495	#3301	C₂×C₇	1	1	yes	characteristic, complemented
496	#3297	C₂×C₇	1	1	yes	characteristic, complemented
497	#3287	C₂×C₇	1	1	yes	characteristic, complemented
498	#3284	C₂×C₇	1	1	yes	characteristic, complemented
499	#3271	C₂×C₇	1	1	yes	characteristic, complemented
500	#3271	C₂×C₇	1	1	yes	characteristic, complemented
501	#3268	C₂×C₇	1	1	yes	characteristic, complemented
502	#3268	C₂×C₇	1	1	yes	characteristic, complemented
503	#3260	C₂×C₇	1	1	yes	characteristic, complemented
504	#3259	C₂×C₇	1	1	yes	characteristic, complemented
505	#3247	C₂×C₇	1	1	yes	characteristic, complemented
506	#3221	C₂×C₇	1	1	yes	characteristic, complemented
507	#3220	C₂×C₇	1	1	yes	characteristic, complemented
508	#3214	C₂×C₇	1	1	yes	characteristic, complemented
509	#3120	C₂×C₇	1	1	yes	characteristic, complemented
510	#3119	C₂×C₇	1	1	yes	characteristic, complemented
511	#3111	C₂×C₇	1	1	yes	characteristic, complemented
512	#3046	C₂×C₇	1	1	yes	characteristic, complemented
513	#3045	C₂×C₇	1	1	yes	characteristic, complemented
514	#3035	C₂×C₇	1	1	yes	characteristic, complemented
515	#2992	C₂×C₇	1	1	yes	characteristic, complemented
516	C₂⁴×C₇	—	2	1	no	—
517	C₇×#41	—	2	2	no	—
518	C₇×#41	—	2	2	no	—
519	C₇×#41	—	2	2	no	—
520	C₇×#41	—	4	1	no	—
521	C₇×#41	—	4	1	no	—
522	C₇×#41	—	4	1	no	—
523	C₇×#41	—	4	1	no	—
524	C₇×#41	—	4	1	no	—
525	C₇×#41	—	4	1	no	—
526	C₇×#41	—	4	1	no	—
527	C₇×#41	—	4	1	no	—
528	C₇×#41	—	4	1	no	—
529	C₇×#41	—	4	1	no	—
530	C₇×#41	—	4	1	no	—
531	C₇×#41	—	8	2	no	—
532	C₇×#41	—	8	2	no	—
533	C₇×#41	—	8	2	no	—
534	C₂×C₇×Q₈	—	2	1	no	—
535	C₂×C₇×Q₈	—	2	1	no	—
536	C₂×C₇×Q₈	—	4	1	no	—
537	C₂×C₇×Q₈	—	4	1	no	—
538	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
539	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
540	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
541	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
542	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
543	C₂×C₇×D₄	—	2	1	no	—
544	C₂×C₇×D₄	—	2	1	no	—
545	C₂×C₇×D₄	—	2	1	no	—
546	C₂×C₇×D₄	—	2	1	no	—
547	C₂×C₇×D₄	—	2	1	no	—
548	C₂×C₇×D₄	—	2	1	no	—
549	C₂×C₇×D₄	—	2	1	no	—
550	C₂×C₇×D₄	—	2	1	no	—
551	C₂×C₇×D₄	—	2	1	no	—
552	C₂×C₇×D₄	—	2	1	no	—
553	C₂×C₇×D₄	—	2	1	no	—
554	C₂×C₇×D₄	—	2	1	no	—
555	C₂×C₇×D₄	—	2	1	no	—
556	C₂×C₇×D₄	—	2	1	no	—
557	C₂×C₇×D₄	—	2	1	no	—
558	C₂×C₇×D₄	—	2	1	no	—
559	C₂×C₇×D₄	—	2	1	no	—
560	C₂×C₇×D₄	—	2	1	no	—
561	C₂×C₇×D₄	—	2	1	no	—
562	C₂×C₇×D₄	—	2	1	no	—
563	C₂×C₇×D₄	—	2	1	no	—
564	C₂×C₇×D₄	—	2	1	no	—
565	C₂×C₇×D₄	—	2	1	no	—
566	C₂×C₇×D₄	—	2	1	no	—
567	C₂×C₇×D₄	—	2	1	no	—
568	C₂×C₇×D₄	—	2	1	no	—
569	C₂×C₇×D₄	—	2	1	no	—
570	C₂×C₇×D₄	—	4	1	no	—
571	C₂×C₇×D₄	—	4	1	no	—
572	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
573	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
574	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
575	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
576	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
577	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
578	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
579	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
580	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₇	—	2	1	no	—
582	C₂²×C₄×C₇	—	2	1	no	—
583	C₂²×C₄×C₇	—	2	1	no	—
584	C₂²×C₄×C₇	—	2	1	no	—
585	C₂²×C₄×C₇	—	2	1	no	—
586	C₂²×C₄×C₇	—	2	1	no	—
587	C₂²×C₄×C₇	—	2	1	no	—
588	C₂²×C₄×C₇	—	2	1	no	—
589	C₂²×C₄×C₇	—	2	1	no	—
590	C₂²×C₄×C₇	—	2	1	no	—
591	C₂²×C₄×C₇	—	2	1	no	—
592	C₂²×C₄×C₇	—	2	1	no	—
593	C₂²×C₄×C₇	—	2	1	no	—
594	C₂²×C₄×C₇	—	2	1	no	—
595	C₂²×C₄×C₇	—	2	1	no	—
596	C₂²×C₄×C₇	—	2	1	no	—
597	C₂²×C₄×C₇	—	2	1	no	—
598	C₂²×C₄×C₇	—	2	1	no	—
599	C₂²×C₄×C₇	—	2	1	no	—
600	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
601	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
602	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
603	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
604	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
605	C₇×Q₁₆	—	2	2	no	—
606	C₇×Q₁₆	—	2	2	no	—
607	C₇×Q₁₆	—	2	2	no	—
608	C₇×SD₁₆	—	2	2	no	—
609	C₇×SD₁₆	—	2	2	no	—
610	C₇×SD₁₆	—	2	2	no	—
611	C₇×SD₁₆	—	4	1	no	—
612	C₇×SD₁₆	—	4	1	no	—
613	C₇×SD₁₆	—	4	1	no	—
614	C₇×SD₁₆	—	4	1	no	—
615	C₇×SD₁₆	—	4	1	no	—
616	C₇×SD₁₆	—	4	1	no	—
617	C₇×SD₁₆	—	4	1	no	—
618	C₇×SD₁₆	—	4	1	no	—
619	C₇×SD₁₆	—	4	1	no	—
620	C₇×D₈	—	4	1	no	—
621	C₇×D₈	—	4	1	no	—
622	C₇×D₈	—	4	1	no	—
623	C₇×D₈	—	4	1	no	—
624	C₇×D₈	—	4	1	no	—
625	C₇×D₈	—	4	1	no	—
626	C₇×D₈	—	4	1	no	—
627	C₇×D₈	—	4	1	no	—
628	C₇×D₈	—	4	1	no	—
629	C₇×M₁₆	—	4	1	no	—
630	C₇×M₁₆	—	4	1	no	—
631	C₂×C₇×C₈	—	4	1	no	—
632	C₂×C₇×C₈	—	4	1	no	—
633	C₂×C₇×C₈	—	4	1	no	—
634	C₂×C₇×C₈	—	4	1	no	—
635	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
636	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
637	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
638	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
639	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
640	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
641	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
642	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
643	C₇×C₄⋊C₄	—	2	1	no	—
644	C₇×C₄⋊C₄	—	2	1	no	—
645	C₇×C₄⋊C₄	—	2	1	no	—
646	C₇×C₄⋊C₄	—	2	1	no	—
647	C₇×C₄⋊C₄	—	2	1	no	—
648	C₇×C₄⋊C₄	—	2	1	no	—
649	C₇×C₄⋊C₄	—	2	1	no	—
650	C₇×C₄⋊C₄	—	2	1	no	—
651	C₇×C₄⋊C₄	—	2	1	no	—
652	C₇×C₄⋊C₄	—	2	1	no	—
653	C₇×C₄⋊C₄	—	2	1	no	—
654	C₇×C₄⋊C₄	—	2	1	no	—
655	C₇×C₄⋊C₄	—	2	1	no	—
656	C₇×C₄⋊C₄	—	2	1	no	—
657	C₇×C₄⋊C₄	—	2	1	no	—
658	C₇×C₄⋊C₄	—	2	1	no	—
659	C₇×C₄⋊C₄	—	2	1	no	—
660	C₇×C₄⋊C₄	—	2	1	no	—
661	C₇×C₄⋊C₄	—	2	1	no	—
662	C₇×C₄⋊C₄	—	2	1	no	—
663	C₇×C₄⋊C₄	—	2	1	no	—
664	C₇×C₄⋊C₄	—	2	1	no	—
665	C₇×C₄⋊C₄	—	2	1	no	—
666	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
677	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
679	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
680	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
681	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
682	C₇×C₂²⋊C₄	—	2	1	no	—
683	C₇×C₂²⋊C₄	—	2	1	no	—
684	C₇×C₂²⋊C₄	—	2	1	no	—
685	C₇×C₂²⋊C₄	—	2	1	no	—
686	C₇×C₂²⋊C₄	—	2	1	no	—
687	C₇×C₂²⋊C₄	—	2	1	no	—
688	C₇×C₂²⋊C₄	—	2	1	no	—
689	C₇×C₂²⋊C₄	—	2	1	no	—
690	C₇×C₂²⋊C₄	—	2	1	no	—
691	C₇×C₂²⋊C₄	—	2	1	no	—
692	C₇×C₂²⋊C₄	—	2	1	no	—
693	C₇×C₂²⋊C₄	—	2	1	no	—
694	C₇×C₂²⋊C₄	—	2	1	no	—
695	C₇×C₂²⋊C₄	—	2	1	no	—
696	C₇×C₂²⋊C₄	—	2	1	no	—
697	C₇×C₂²⋊C₄	—	2	1	no	—
698	C₇×C₂²⋊C₄	—	2	1	no	—
699	C₇×C₂²⋊C₄	—	2	1	no	—
700	C₇×C₂²⋊C₄	—	2	1	no	—
701	C₇×C₂²⋊C₄	—	2	1	no	—
702	C₇×C₂²⋊C₄	—	2	1	no	—
703	C₇×C₂²⋊C₄	—	2	1	no	—
704	C₇×C₂²⋊C₄	—	2	1	no	—
705	C₇×C₂²⋊C₄	—	2	1	no	—
706	C₇×C₂²⋊C₄	—	2	1	no	—
707	C₇×C₂²⋊C₄	—	2	1	no	—
708	C₇×C₂²⋊C₄	—	2	1	no	—
709	C₇×C₂²⋊C₄	—	2	1	no	—
710	C₇×C₂²⋊C₄	—	2	1	no	—
711	C₇×C₂²⋊C₄	—	2	1	no	—
712	C₇×C₂²⋊C₄	—	2	1	no	—
713	C₇×C₂²⋊C₄	—	2	1	no	—
714	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
715	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
716	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
717	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
718	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
719	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
720	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
721	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
722	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
723	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
724	C₄²×C₇	—	2	1	no	—
725	C₄²×C₇	—	2	1	no	—
726	C₄²×C₇	—	2	1	no	—
727	C₄²×C₇	—	2	1	no	—
728	C₄²×C₇	—	2	1	no	—
729	C₄²×C₇	—	2	1	no	—
730	C₄²×C₇	—	2	1	no	—
731	C₄²×C₇	—	2	1	no	—
732	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
733	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
734	C₄²×C₇	C₂⁴	1	1	yes	characteristic
735	C₄²×C₇	C₂⁴	1	1	yes	characteristic
736	C₄²×C₇	C₂⁴	1	1	yes	characteristic
737	C₄²×C₇	C₂⁴	1	1	yes	characteristic
738	C₂×#137	C₂²×C₇	1	1	yes	characteristic, complemented
739	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
740	C₂×#135	C₂²×C₇	1	1	yes	characteristic
741	C₂×#135	C₂²×C₇	1	1	yes	characteristic
742	C₂×#135	C₂²×C₇	1	1	yes	characteristic
743	C₂×#135	C₂²×C₇	1	1	yes	characteristic, complemented
744	#562	—	2	1	no	—
745	#560	—	2	1	no	—
746	#559	C₂²×C₇	1	1	yes	characteristic
747	#557	C₂²×C₇	1	1	yes	characteristic, complemented
748	#556	C₂²×C₇	1	1	yes	characteristic
749	#553	—	2	1	no	—
750	#553	—	2	1	no	—
751	#553	—	2	1	no	—
752	#553	C₂²×C₇	1	1	yes	characteristic
753	#553	C₂²×C₇	1	1	yes	characteristic, complemented
754	#551	—	2	1	no	—
755	#550	—	2	1	no	—
756	#550	C₂²×C₇	1	1	yes	characteristic
757	#550	C₂²×C₇	1	1	yes	characteristic
758	#550	C₂²×C₇	1	1	yes	characteristic
759	#550	C₂²×C₇	1	1	yes	characteristic, complemented
760	#550	C₂²×C₇	1	1	yes	characteristic, complemented
761	#548	C₂²×C₇	1	1	yes	characteristic
762	#548	C₂²×C₇	1	1	yes	characteristic
763	#547	—	2	1	no	—
764	#547	C₂²×C₇	1	1	yes	characteristic
765	#547	C₂²×C₇	1	1	yes	characteristic
766	#546	C₂²×C₇	1	1	yes	characteristic
767	#546	C₂²×C₇	1	1	yes	characteristic
768	#541	C₂²×C₇	1	1	yes	characteristic
769	#540	—	2	1	no	—
770	#540	—	2	1	no	—
771	#540	—	2	1	no	—
772	#540	C₂²×C₇	1	1	yes	characteristic
773	#540	C₂²×C₇	1	1	yes	characteristic
774	#540	C₂²×C₇	1	1	yes	characteristic, complemented
775	#539	—	2	1	no	—
776	#538	—	2	1	no	—
777	#538	—	2	1	no	—
778	#536	C₂²×C₇	1	1	yes	characteristic
779	#535	C₂²×C₇	1	1	yes	characteristic
780	#532	—	2	1	no	—
781	#532	C₂²×C₇	1	1	yes	characteristic
782	#532	C₂²×C₇	1	1	yes	characteristic, complemented
783	#529	—	2	1	no	—
784	#529	C₂²×C₇	1	1	yes	characteristic
785	#529	C₂²×C₇	1	1	yes	characteristic
786	#520	C₂²×C₇	1	1	yes	characteristic
787	#520	C₂²×C₇	1	1	yes	characteristic, complemented
788	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
789	#496	C₂²×C₇	1	1	yes	characteristic
790	#496	C₂²×C₇	1	1	yes	characteristic
791	#496	C₂²×C₇	1	1	yes	characteristic
792	#496	C₂²×C₇	1	1	yes	characteristic, complemented
793	#493	C₂²×C₇	1	1	yes	characteristic
794	#492	C₂²×C₇	1	1	yes	characteristic, complemented
795	#491	C₂²×C₇	1	1	yes	characteristic, complemented
796	#490	C₂²×C₇	1	1	yes	characteristic
797	#489	C₂²×C₇	1	1	yes	characteristic
798	#489	C₂²×C₇	1	1	yes	characteristic, complemented
799	#488	C₂²×C₇	1	1	yes	characteristic
800	#488	C₂²×C₇	1	1	yes	characteristic
801	#485	C₂²×C₇	1	1	yes	characteristic, complemented
802	#484	C₂²×C₇	1	1	yes	characteristic
803	#483	C₂²×C₇	1	1	yes	characteristic
804	#482	C₂²×C₇	1	1	yes	characteristic
805	#481	C₂²×C₇	1	1	yes	characteristic
806	#480	C₂²×C₇	1	1	yes	characteristic, complemented
807	#479	C₂²×C₇	1	1	yes	characteristic, complemented
808	#479	C₂²×C₇	1	1	yes	characteristic, complemented
809	#479	C₂²×C₇	1	1	yes	characteristic, complemented
810	#478	C₂²×C₇	1	1	yes	characteristic
811	#478	C₂²×C₇	1	1	yes	characteristic, complemented
812	#478	C₂²×C₇	1	1	yes	characteristic, complemented
813	#478	C₂²×C₇	1	1	yes	characteristic, complemented
814	#478	C₂²×C₇	1	1	yes	characteristic, complemented
815	#477	C₂²×C₇	1	1	yes	characteristic, complemented
816	#476	C₂²×C₇	1	1	yes	characteristic
817	#469	C₂²×C₇	1	1	yes	characteristic
818	#469	C₂²×C₇	1	1	yes	characteristic, complemented
819	#468	C₂²×C₇	1	1	yes	characteristic
820	#468	C₂²×C₇	1	1	yes	characteristic
821	#466	C₂²×C₇	1	1	yes	characteristic
822	#466	C₂²×C₇	1	1	yes	characteristic
823	#466	C₂²×C₇	1	1	yes	characteristic
824	#466	C₂²×C₇	1	1	yes	characteristic, complemented
825	#465	C₂²×C₇	1	1	yes	characteristic
826	#465	C₂²×C₇	1	1	yes	characteristic
827	#465	C₂²×C₇	1	1	yes	characteristic, complemented
828	#465	C₂²×C₇	1	1	yes	characteristic, complemented
829	#464	C₂²×C₇	1	1	yes	characteristic
830	#464	C₂²×C₇	1	1	yes	characteristic
831	#464	C₂²×C₇	1	1	yes	characteristic
832	#464	C₂²×C₇	1	1	yes	characteristic
833	#464	C₂²×C₇	1	1	yes	characteristic, complemented
834	#463	C₂²×C₇	1	1	yes	characteristic
835	#463	C₂²×C₇	1	1	yes	characteristic
836	#463	C₂²×C₇	1	1	yes	characteristic
837	#463	C₂²×C₇	1	1	yes	characteristic
838	#463	C₂²×C₇	1	1	yes	characteristic
839	#463	C₂²×C₇	1	1	yes	characteristic
840	#463	C₂²×C₇	1	1	yes	characteristic, complemented
841	#462	C₂²×C₇	1	1	yes	characteristic, complemented
842	#462	C₂²×C₇	1	1	yes	characteristic, complemented
843	#461	C₂²×C₇	1	1	yes	characteristic, complemented
844	#461	C₂²×C₇	1	1	yes	characteristic, complemented
845	#461	C₂²×C₇	1	1	yes	characteristic, complemented
846	#461	C₂²×C₇	1	1	yes	characteristic, complemented
847	#460	C₂²×C₇	1	1	yes	characteristic
848	#460	C₂²×C₇	1	1	yes	characteristic
849	#460	C₂²×C₇	1	1	yes	characteristic, complemented
850	#460	C₂²×C₇	1	1	yes	characteristic, complemented
851	#460	C₂²×C₇	1	1	yes	characteristic, complemented
852	#459	C₂²×C₇	1	1	yes	characteristic
853	#459	C₂²×C₇	1	1	yes	characteristic
854	#459	C₂²×C₇	1	1	yes	characteristic
855	#459	C₂²×C₇	1	1	yes	characteristic
856	#459	C₂²×C₇	1	1	yes	characteristic
857	#459	C₂²×C₇	1	1	yes	characteristic
858	#459	C₂²×C₇	1	1	yes	characteristic, complemented
859	#452	C₂²×C₇	1	1	yes	characteristic
860	#452	C₂²×C₇	1	1	yes	characteristic
861	#452	C₂²×C₇	1	1	yes	characteristic, complemented
862	#449	C₂²×C₇	1	1	yes	characteristic
863	#449	C₂²×C₇	1	1	yes	characteristic
864	#449	C₂²×C₇	1	1	yes	characteristic
865	#449	C₂²×C₇	1	1	yes	characteristic
866	#449	C₂²×C₇	1	1	yes	characteristic
867	#449	C₂²×C₇	1	1	yes	characteristic
868	#449	C₂²×C₇	1	1	yes	characteristic
869	#449	C₂²×C₇	1	1	yes	characteristic
870	#449	C₂²×C₇	1	1	yes	characteristic, complemented
871	#449	C₂²×C₇	1	1	yes	characteristic, complemented
872	#449	C₂²×C₇	1	1	yes	characteristic, complemented
873	#448	C₂²×C₇	1	1	yes	characteristic, complemented
874	#448	C₂²×C₇	1	1	yes	characteristic, complemented
875	#447	C₂²×C₇	1	1	yes	characteristic
876	#447	C₂²×C₇	1	1	yes	characteristic
877	#446	C₂²×C₇	1	1	yes	characteristic, complemented
878	#446	C₂²×C₇	1	1	yes	characteristic, complemented
879	#442	C₂²×C₇	1	1	yes	characteristic
880	#442	C₂²×C₇	1	1	yes	characteristic, complemented
881	#441	C₂²×C₇	1	1	yes	characteristic, complemented
882	#441	C₂²×C₇	1	1	yes	characteristic, complemented
883	#440	C₂²×C₇	1	1	yes	characteristic
884	#440	C₂²×C₇	1	1	yes	characteristic
885	#440	C₂²×C₇	1	1	yes	characteristic, complemented
886	#440	C₂²×C₇	1	1	yes	characteristic, complemented
887	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
888	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
889	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
890	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
891	#435	C₂²×C₇	1	1	yes	characteristic
892	#435	C₂²×C₇	1	1	yes	characteristic
893	#435	C₂²×C₇	1	1	yes	characteristic
894	#435	C₂²×C₇	1	1	yes	characteristic, complemented
895	C₈×D₄	C₂²×C₇	1	1	yes	characteristic
896	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
897	#433	C₂²×C₇	1	1	yes	characteristic
898	#433	C₂²×C₇	1	1	yes	characteristic, complemented
899	#432	C₂²×C₇	1	1	yes	characteristic, complemented
900	#424	C₂²×C₇	1	1	yes	characteristic
901	#424	C₂²×C₇	1	1	yes	characteristic, complemented
902	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
903	#417	C₂²×C₇	1	1	yes	characteristic
904	#417	C₂²×C₇	1	1	yes	characteristic
905	#416	C₂²×C₇	1	1	yes	characteristic
906	#416	C₂²×C₇	1	1	yes	characteristic, complemented
907	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
908	C₂×#102	C₂²×C₇	1	1	yes	characteristic
909	C₂³×C₇	—	2	1	no	—
910	C₂³×C₇	—	2	1	no	—
911	C₂³×C₇	—	2	1	no	—
912	C₂³×C₇	—	2	1	no	—
913	C₂³×C₇	—	2	1	no	—
914	C₂³×C₇	—	2	1	no	—
915	C₂³×C₇	—	8	1	no	—
916	C₂³×C₇	—	8	1	no	—
917	C₂³×C₇	—	8	1	no	—
918	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
919	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
920	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
921	C₇×Q₈	—	2	1	no	—
922	C₇×Q₈	—	2	1	no	—
923	C₇×Q₈	—	2	1	no	—
924	C₇×Q₈	—	2	1	no	—
925	C₇×Q₈	—	2	1	no	—
926	C₇×Q₈	—	2	1	no	—
927	C₇×Q₈	—	2	1	no	—
928	C₇×Q₈	—	4	1	no	—
929	C₇×Q₈	—	4	2	no	—
930	C₇×Q₈	—	8	1	no	—
931	C₇×Q₈	H(5,𝔽₂)	1	2	yes	—
932	C₇×D₄	—	2	1	no	—
933	C₇×D₄	—	2	1	no	—
934	C₇×D₄	—	2	1	no	—
935	C₇×D₄	—	2	1	no	—
936	C₇×D₄	—	2	1	no	—
937	C₇×D₄	—	2	1	no	—
938	C₇×D₄	—	2	1	no	—
939	C₇×D₄	—	2	1	no	—
940	C₇×D₄	—	2	1	no	—
941	C₇×D₄	—	2	1	no	—
942	C₇×D₄	—	2	1	no	—
943	C₇×D₄	—	2	1	no	—
944	C₇×D₄	—	4	1	no	—
945	C₇×D₄	—	4	1	no	—
946	C₇×D₄	—	4	1	no	—
947	C₇×D₄	—	4	2	no	—
948	C₇×D₄	—	4	2	no	—
949	C₇×D₄	—	4	2	no	—
950	C₇×D₄	—	4	2	no	—
951	C₇×D₄	—	8	1	no	—
952	C₇×D₄	—	8	1	no	—
953	C₇×D₄	—	8	1	no	—
954	C₇×D₄	—	8	1	no	—
955	C₇×D₄	—	8	1	no	—
956	C₇×D₄	—	8	1	no	—
957	C₇×D₄	—	8	1	no	—
958	C₇×D₄	—	8	1	no	—
959	C₇×D₄	—	8	1	no	—
960	C₇×D₄	—	8	1	no	—
961	C₇×D₄	—	8	1	no	—
962	C₇×D₄	—	8	1	no	—
963	C₇×D₄	—	8	1	no	—
964	C₇×D₄	—	8	1	no	—
965	C₇×D₄	—	8	1	no	—
966	C₇×D₄	—	8	1	no	—
967	C₇×D₄	—	8	1	no	—
968	C₇×D₄	—	8	1	no	—
969	C₇×D₄	—	8	1	no	—
970	C₇×D₄	—	8	1	no	—
971	C₇×D₄	—	8	1	no	—
972	C₇×D₄	—	8	1	no	—
973	C₇×D₄	—	8	1	no	—
974	C₂×C₄×C₇	—	2	1	no	—
975	C₂×C₄×C₇	—	2	1	no	—
976	C₂×C₄×C₇	—	2	1	no	—
977	C₂×C₄×C₇	—	2	1	no	—
978	C₂×C₄×C₇	—	2	1	no	—
979	C₂×C₄×C₇	—	2	1	no	—
980	C₂×C₄×C₇	—	2	1	no	—
981	C₂×C₄×C₇	—	2	1	no	—
982	C₂×C₄×C₇	—	2	1	no	—
983	C₂×C₄×C₇	—	2	1	no	—
984	C₂×C₄×C₇	—	2	1	no	—
985	C₂×C₄×C₇	—	2	1	no	—
986	C₂×C₄×C₇	—	2	1	no	—
987	C₂×C₄×C₇	—	2	1	no	—
988	C₂×C₄×C₇	—	2	1	no	—
989	C₂×C₄×C₇	—	2	1	no	—
990	C₂×C₄×C₇	—	4	1	no	—
991	C₂×C₄×C₇	—	4	1	no	—
992	C₂×C₄×C₇	—	4	2	no	—
993	C₂×C₄×C₇	—	4	2	no	—
994	C₂×C₄×C₇	—	4	2	no	—
995	C₂×C₄×C₇	—	4	2	no	—
996	C₂×C₄×C₇	—	8	1	no	—
997	C₂×C₄×C₇	—	8	1	no	—
998	C₂×C₄×C₇	—	8	1	no	—
999	C₂×C₄×C₇	—	8	1	no	—
1000	C₂×C₄×C₇	—	8	1	no	—
1001	C₂×C₄×C₇	—	8	1	no	—
1002	C₂×C₄×C₇	—	8	1	no	—
1003	C₂×C₄×C₇	—	8	1	no	—
1004	C₂×C₄×C₇	—	8	1	no	—
1005	C₂×C₄×C₇	—	8	1	no	—
1006	C₂×C₄×C₇	—	8	1	no	—
1007	C₂×C₄×C₇	—	8	1	no	—
1008	C₂×C₄×C₇	—	8	1	no	—
1009	C₂×C₄×C₇	—	8	1	no	—
1010	C₂×C₄×C₇	—	8	1	no	—
1011	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1012	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1013	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1014	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1015	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1016	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1017	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1018	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1019	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1020	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1021	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
1022	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1023	C₇×C₈	—	2	1	no	—
1024	C₇×C₈	—	2	1	no	—
1025	C₇×C₈	—	2	1	no	—
1026	C₇×C₈	—	2	1	no	—
1027	C₇×C₈	—	2	1	no	—
1028	C₇×C₈	—	2	1	no	—
1029	C₇×C₈	—	2	1	no	—
1030	C₇×C₈	—	2	1	no	—
1031	C₂×#41	—	2	1	no	—
1032	C₂×#41	—	2	1	no	—
1033	C₂×#41	—	2	1	no	—
1034	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1035	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1036	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1037	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1038	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1039	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1040	C₂×#41	C₂³×C₇	1	1	yes	characteristic
1041	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
1042	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
1043	#137	—	4	2	no	—
1044	AGL(1,ℤ/8)	—	4	2	no	—
1045	#135	—	4	2	no	—
1046	#135	—	4	2	no	—
1047	#135	—	4	2	no	—
1048	#135	—	4	2	no	—
1049	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1050	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1051	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
1052	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1062	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1063	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
1064	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1065	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1066	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1067	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1068	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1069	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1070	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1071	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1072	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1073	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1074	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1075	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1076	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1077	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1078	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1079	C₄⋊Q₈	—	2	1	no	—
1080	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1081	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1083	#127	—	2	1	no	—
1084	#127	—	2	1	no	—
1085	#127	—	2	1	no	—
1086	#127	—	2	1	no	—
1087	#127	C₂³×C₇	1	1	yes	characteristic
1088	#127	C₂³×C₇	1	1	yes	characteristic
1089	#127	C₂³×C₇	1	1	yes	characteristic
1090	#127	C₂³×C₇	1	1	yes	characteristic
1091	#127	C₂³×C₇	1	1	yes	characteristic
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	2	1	no	—
1099	#126	C₇×D₄	1	1	yes	characteristic
1100	#126	C₇×D₄	1	1	yes	characteristic
1101	#125	—	2	1	no	—
1102	#125	—	2	1	no	—
1103	#125	—	2	1	no	—
1104	#125	—	2	1	no	—
1105	#125	C₇×D₄	1	1	yes	characteristic
1106	#125	C₂³×C₇	1	1	yes	characteristic
1107	#125	C₂³×C₇	1	1	yes	characteristic
1108	#125	C₂³×C₇	1	1	yes	characteristic
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	C₇×D₄	1	1	yes	characteristic
1114	#124	C₂³×C₇	1	1	yes	characteristic
1115	#124	C₂³×C₇	1	1	yes	characteristic
1116	#124	C₂³×C₇	1	1	yes	characteristic
1117	#124	C₂³×C₇	1	1	yes	characteristic
1118	#124	C₂³×C₇	1	1	yes	characteristic
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	C₇×D₄	1	1	yes	characteristic
1139	#123	C₇×D₄	1	1	yes	characteristic
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	C₇×D₄	1	1	yes	characteristic
1180	#121	C₂³×C₇	1	1	yes	characteristic
1181	#121	C₂³×C₇	1	1	yes	characteristic
1182	#121	C₂³×C₇	1	1	yes	characteristic
1183	#121	C₂³×C₇	1	1	yes	characteristic
1184	#121	C₂³×C₇	1	1	yes	characteristic
1185	#121	C₂³×C₇	1	1	yes	characteristic
1186	#121	C₂³×C₇	1	1	yes	characteristic
1187	#121	C₂³×C₇	1	1	yes	characteristic
1188	#121	C₂³×C₇	1	1	yes	characteristic
1189	#120	—	2	1	no	—
1190	#120	—	2	1	no	—
1191	#120	—	2	1	no	—
1192	#120	—	2	1	no	—
1193	C₄×Q₈	—	2	1	no	—
1194	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1195	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1196	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1197	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1198	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1199	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1200	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1201	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	—	2	1	no	—
1219	C₄×D₄	—	2	1	no	—
1220	C₄×D₄	—	2	1	no	—
1221	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1222	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1225	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1226	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1230	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1231	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1232	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	2	1	no	—
1236	#117	—	2	1	no	—
1237	#117	—	2	1	no	—
1238	#117	C₂³×C₇	1	1	yes	characteristic
1239	#117	C₂³×C₇	1	1	yes	characteristic
1240	#117	C₂³×C₇	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	—	2	1	no	—
1243	C₂×C₄⋊C₄	—	2	1	no	—
1244	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1246	C₂×C₂²⋊C₄	—	2	1	no	—
1247	C₂×C₂²⋊C₄	—	2	1	no	—
1248	C₂×C₄²	—	2	1	no	—
1249	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1250	#107	C₂³×C₇	1	1	yes	characteristic
1251	#107	C₂³×C₇	1	1	yes	characteristic
1252	#107	C₂³×C₇	1	1	yes	characteristic
1253	#107	C₂³×C₇	1	1	yes	characteristic
1254	#106	C₂³×C₇	1	1	yes	characteristic
1255	#106	C₂³×C₇	1	1	yes	characteristic
1256	#106	C₂³×C₇	1	1	yes	characteristic
1257	#106	C₂³×C₇	1	1	yes	characteristic
1258	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1259	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1260	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1261	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1262	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1263	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1264	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1265	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1266	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1268	#103	C₂³×C₇	1	1	yes	characteristic
1269	#103	C₂³×C₇	1	1	yes	characteristic
1270	#103	C₂³×C₇	1	1	yes	characteristic
1271	#103	C₂³×C₇	1	1	yes	characteristic
1272	#103	C₂³×C₇	1	1	yes	characteristic
1273	#103	C₂³×C₇	1	1	yes	characteristic
1274	#103	C₂³×C₇	1	1	yes	characteristic
1275	#103	C₂³×C₇	1	1	yes	characteristic
1276	#103	C₂³×C₇	1	1	yes	characteristic
1277	#103	C₂³×C₇	1	1	yes	characteristic
1278	#103	C₂³×C₇	1	1	yes	characteristic
1279	#103	C₂³×C₇	1	1	yes	characteristic
1280	#103	C₂³×C₇	1	1	yes	characteristic
1281	#103	C₂³×C₇	1	1	yes	characteristic
1282	#102	C₂³×C₇	1	1	yes	characteristic
1283	#102	C₂³×C₇	1	1	yes	characteristic
1284	#102	C₂³×C₇	1	1	yes	characteristic
1285	#102	C₂³×C₇	1	1	yes	characteristic
1286	#102	C₂³×C₇	1	1	yes	characteristic
1287	#102	C₂³×C₇	1	1	yes	characteristic
1288	#102	C₂³×C₇	1	1	yes	characteristic
1289	#102	C₂³×C₇	1	1	yes	characteristic
1290	#102	C₂³×C₇	1	1	yes	characteristic
1291	#102	C₂³×C₇	1	1	yes	characteristic
1292	#102	C₂³×C₇	1	1	yes	characteristic
1293	#102	C₂³×C₇	1	1	yes	characteristic
1294	#102	C₂³×C₇	1	1	yes	characteristic
1295	#102	C₂³×C₇	1	1	yes	characteristic
1296	#102	C₂³×C₇	1	1	yes	characteristic
1297	#102	C₂³×C₇	1	1	yes	characteristic
1298	#102	C₂³×C₇	1	1	yes	characteristic
1299	#102	C₂³×C₇	1	1	yes	characteristic
1300	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1301	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1303	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1304	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1306	#97	C₂³×C₇	1	1	yes	characteristic
1307	#97	C₂³×C₇	1	1	yes	characteristic
1308	#97	C₂³×C₇	1	1	yes	characteristic
1309	#97	C₂³×C₇	1	1	yes	characteristic
1310	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1311	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1312	C₂²×C₇	—	2	1	no	—
1313	C₂²×C₇	—	2	1	no	—
1314	C₂²×C₇	—	2	1	no	—
1315	C₂²×C₇	—	2	1	no	—
1316	C₂²×C₇	—	2	1	no	—
1317	C₂²×C₇	—	2	1	no	—
1318	C₂²×C₇	—	2	1	no	—
1319	C₂²×C₇	—	2	1	no	—
1320	C₂²×C₇	—	2	1	no	—
1321	C₂²×C₇	—	4	1	no	—
1322	C₂²×C₇	—	4	1	no	—
1323	C₂²×C₇	—	4	1	no	—
1324	C₂²×C₇	—	4	1	no	—
1325	C₂²×C₇	—	4	1	no	—
1326	C₂²×C₇	—	4	1	no	—
1327	C₂²×C₇	—	4	1	no	—
1328	C₂²×C₇	—	4	1	no	—
1329	C₂²×C₇	—	4	1	no	—
1330	C₂²×C₇	—	4	1	no	—
1331	C₂²×C₇	—	4	1	no	—
1332	C₂²×C₇	—	4	1	no	—
1333	C₂²×C₇	—	4	1	no	—
1334	C₂²×C₇	—	4	1	no	—
1335	C₂²×C₇	—	4	1	no	—
1336	C₂²×C₇	—	4	1	no	—
1337	C₂²×C₇	—	4	1	no	—
1338	C₂²×C₇	—	4	1	no	—
1339	C₂²×C₇	—	16	2	no	—
1340	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1341	C₄×C₇	—	2	1	no	—
1342	C₄×C₇	—	2	1	no	—
1343	C₄×C₇	—	2	1	no	—
1344	C₄×C₇	—	2	1	no	—
1345	C₄×C₇	—	2	1	no	—
1346	C₄×C₇	—	2	1	no	—
1347	C₄×C₇	—	2	1	no	—
1348	C₄×C₇	—	2	1	no	—
1349	C₄×C₇	—	2	1	no	—
1350	C₄×C₇	—	2	1	no	—
1351	C₄×C₇	—	2	1	no	—
1352	C₄×C₇	—	2	2	no	—
1353	C₄×C₇	—	4	1	no	—
1354	C₄×C₇	—	4	1	no	—
1355	C₄×C₇	—	4	1	no	—
1356	C₄×C₇	—	4	1	no	—
1357	C₄×C₇	—	4	1	no	—
1358	C₄×C₇	—	4	1	no	—
1359	C₄×C₇	—	4	1	no	—
1360	C₄×C₇	—	4	1	no	—
1361	C₄×C₇	—	4	1	no	—
1362	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1363	C₄×C₇	#585	1	1	yes	characteristic
1364	C₂⁴	—	2	1	no	—
1365	#41	—	2	2	no	—
1366	#41	—	2	2	no	—
1367	#41	—	2	2	no	—
1368	#41	—	4	1	no	—
1369	#41	—	4	1	no	—
1370	#41	—	4	1	no	—
1371	#41	—	4	1	no	—
1372	#41	—	4	1	no	—
1373	#41	—	4	1	no	—
1374	#41	—	4	1	no	—
1375	#41	—	4	1	no	—
1376	#41	—	4	1	no	—
1377	#41	—	4	1	no	—
1378	#41	—	4	1	no	—
1379	#41	—	8	2	no	—
1380	#41	—	8	2	no	—
1381	#41	—	8	2	no	—
1382	C₂×Q₈	—	2	1	no	—
1383	C₂×Q₈	—	2	1	no	—
1384	C₂×Q₈	—	4	1	no	—
1385	C₂×Q₈	—	4	1	no	—
1386	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1387	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1388	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1389	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1390	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	4	1	no	—
1419	C₂×D₄	—	4	1	no	—
1420	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1421	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1422	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1423	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1424	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1425	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1426	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1427	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1428	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1449	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1451	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1452	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1453	Q₁₆	—	2	2	no	—
1454	Q₁₆	—	2	2	no	—
1455	Q₁₆	—	2	2	no	—
1456	SD₁₆	—	2	2	no	—
1457	SD₁₆	—	2	2	no	—
1458	SD₁₆	—	2	2	no	—
1459	SD₁₆	—	4	1	no	—
1460	SD₁₆	—	4	1	no	—
1461	SD₁₆	—	4	1	no	—
1462	SD₁₆	—	4	1	no	—
1463	SD₁₆	—	4	1	no	—
1464	SD₁₆	—	4	1	no	—
1465	SD₁₆	—	4	1	no	—
1466	SD₁₆	—	4	1	no	—
1467	SD₁₆	—	4	1	no	—
1468	D₈	—	4	1	no	—
1469	D₈	—	4	1	no	—
1470	D₈	—	4	1	no	—
1471	D₈	—	4	1	no	—
1472	D₈	—	4	1	no	—
1473	D₈	—	4	1	no	—
1474	D₈	—	4	1	no	—
1475	D₈	—	4	1	no	—
1476	D₈	—	4	1	no	—
1477	M₁₆	—	4	1	no	—
1478	M₁₆	—	4	1	no	—
1479	C₂×C₈	—	4	1	no	—
1480	C₂×C₈	—	4	1	no	—
1481	C₂×C₈	—	4	1	no	—
1482	C₂×C₈	—	4	1	no	—
1483	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1484	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1485	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1486	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1487	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1488	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1489	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1490	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1515	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1516	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1517	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1518	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1519	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1521	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1522	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1523	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1524	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1525	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1526	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1527	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1528	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1529	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1563	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1564	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1565	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1566	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1567	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1572	C₄²	—	2	1	no	—
1573	C₄²	—	2	1	no	—
1574	C₄²	—	2	1	no	—
1575	C₄²	—	2	1	no	—
1576	C₄²	—	2	1	no	—
1577	C₄²	—	2	1	no	—
1578	C₄²	—	2	1	no	—
1579	C₄²	—	2	1	no	—
1580	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1581	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1582	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1583	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1584	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1585	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1586	C₂×C₇	—	4	1	no	—
1587	C₂×C₇	—	4	1	no	—
1588	C₂×C₇	—	4	1	no	—
1589	C₂×C₇	—	8	1	no	—
1590	C₂×C₇	—	8	1	no	—
1591	C₂×C₇	—	8	1	no	—
1592	C₂×C₇	—	8	1	no	—
1593	C₂×C₇	—	8	1	no	—
1594	C₂×C₇	—	8	1	no	—
1595	C₂×C₇	#3488	1	1	yes	characteristic
1596	C₂×C₇	#3584	1	1	yes	characteristic
1597	C₂×C₇	#3585	1	1	yes	characteristic
1598	C₂³	—	2	1	no	—
1599	C₂³	—	2	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	8	1	no	—
1605	C₂³	—	8	1	no	—
1606	C₂³	—	8	1	no	—
1607	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1608	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1609	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1610	Q₈	—	2	1	no	—
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	2	1	no	—
1614	Q₈	—	2	1	no	—
1615	Q₈	—	2	1	no	—
1616	Q₈	—	2	1	no	—
1617	Q₈	—	4	1	no	—
1618	Q₈	—	4	2	no	—
1619	Q₈	—	8	1	no	—
1620	Q₈	C₇×H(5,𝔽₂)	1	2	yes	—
1621	D₄	—	2	1	no	—
1622	D₄	—	2	1	no	—
1623	D₄	—	2	1	no	—
1624	D₄	—	2	1	no	—
1625	D₄	—	2	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	4	1	no	—
1634	D₄	—	4	1	no	—
1635	D₄	—	4	1	no	—
1636	D₄	—	4	2	no	—
1637	D₄	—	4	2	no	—
1638	D₄	—	4	2	no	—
1639	D₄	—	4	2	no	—
1640	D₄	—	8	1	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	1	no	—
1655	D₄	—	8	1	no	—
1656	D₄	—	8	1	no	—
1657	D₄	—	8	1	no	—
1658	D₄	—	8	1	no	—
1659	D₄	—	8	1	no	—
1660	D₄	—	8	1	no	—
1661	D₄	—	8	1	no	—
1662	D₄	—	8	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	4	1	no	—
1680	C₂×C₄	—	4	1	no	—
1681	C₂×C₄	—	4	2	no	—
1682	C₂×C₄	—	4	2	no	—
1683	C₂×C₄	—	4	2	no	—
1684	C₂×C₄	—	4	2	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	8	1	no	—
1690	C₂×C₄	—	8	1	no	—
1691	C₂×C₄	—	8	1	no	—
1692	C₂×C₄	—	8	1	no	—
1693	C₂×C₄	—	8	1	no	—
1694	C₂×C₄	—	8	1	no	—
1695	C₂×C₄	—	8	1	no	—
1696	C₂×C₄	—	8	1	no	—
1697	C₂×C₄	—	8	1	no	—
1698	C₂×C₄	—	8	1	no	—
1699	C₂×C₄	—	8	1	no	—
1700	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1701	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1702	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1703	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1704	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1705	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1706	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1707	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1708	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1709	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1710	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1711	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1712	C₈	—	2	1	no	—
1713	C₈	—	2	1	no	—
1714	C₈	—	2	1	no	—
1715	C₈	—	2	1	no	—
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	2	1	no	—
1719	C₈	—	2	1	no	—
1720	C₇	#62014	1	1	yes	characteristic, direct product factor, Sylow
1721	C₂²	—	2	1	no	—
1722	C₂²	—	2	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	16	2	no	—
1749	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1750	C₄	—	2	1	no	—
1751	C₄	—	2	1	no	—
1752	C₄	—	2	1	no	—
1753	C₄	—	2	1	no	—
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	2	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	1	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	4	1	no	—
1771	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1772	C₄	C₇×#585	1	1	yes	characteristic
1773	C₂	—	4	1	no	—
1774	C₂	—	4	1	no	—
1775	C₂	—	4	1	no	—
1776	C₂	—	8	1	no	—
1777	C₂	—	8	1	no	—
1778	C₂	—	8	1	no	—
1779	C₂	—	8	1	no	—
1780	C₂	—	8	1	no	—
1781	C₂	—	8	1	no	—
1782	C₂	C₇×#3488	1	1	yes	characteristic
1783	C₂	C₇×#3584	1	1	yes	characteristic
1784	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 ◁ C₇×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3562	C₂	semidirect
2. C₇×#3517	C₂	semidirect
3. C₇×#3399	C₂	semidirect
4. C₇×#3397	C₂	semidirect
5. C₇×#3377	C₂	semidirect
6. C₇×#3371	C₂	semidirect
7. C₇×#3309	C₂	semidirect
8. C₇×#3308	C₂	semidirect
9. C₇×#3307	C₂	semidirect
10. C₇×#3306	C₂	semidirect
11. C₇×#3301	C₂	semidirect
12. C₇×#3297	C₂	semidirect
13. C₇×#3287	C₂	semidirect
14. C₇×#3284	C₂	semidirect
15. C₇×#3271	C₂	semidirect
16. C₇×#3271	C₂	semidirect
17. C₇×#3268	C₂	semidirect
18. C₇×#3268	C₂	semidirect
19. C₇×#3260	C₂	semidirect
20. C₇×#3259	C₂	semidirect
21. C₇×#3247	C₂	semidirect
22. C₇×#3221	C₂	semidirect
23. C₇×#3220	C₂	semidirect
24. C₇×#3214	C₂	semidirect
25. C₇×#3120	C₂	semidirect
26. C₇×#3119	C₂	semidirect
27. C₇×#3111	C₂	semidirect
28. C₇×#3046	C₂	semidirect
29. C₇×#3045	C₂	semidirect
30. C₇×#3035	C₂	semidirect
31. C₇×#2992	C₂	semidirect
32. C₂×C₇×#137	C₂²	semidirect
37. C₂×C₇×#135	C₂²	semidirect
41. C₇×#557	C₂²	semidirect
47. C₇×#553	C₂²	semidirect
53. C₇×#550	C₂²	semidirect
54. C₇×#550	C₂²	semidirect
68. C₇×#540	C₂²	semidirect
76. C₇×#532	C₂²	semidirect
81. C₇×#520	C₂²	semidirect
82. C₄×C₇×#41	C₂²	semidirect
86. C₇×#496	C₂²	semidirect
88. C₇×#492	C₂²	semidirect
89. C₇×#491	C₂²	semidirect
92. C₇×#489	C₂²	semidirect
95. C₇×#485	C₂²	semidirect
100. C₇×#480	C₂²	semidirect
101. C₇×#479	C₂²	semidirect
102. C₇×#479	C₂²	semidirect
103. C₇×#479	C₂²	semidirect
105. C₇×#478	C₂²	semidirect
106. C₇×#478	C₂²	semidirect
107. C₇×#478	C₂²	semidirect
108. C₇×#478	C₂²	semidirect
109. C₇×#477	C₂²	semidirect
112. C₇×#469	C₂²	semidirect
118. C₇×#466	C₂²	semidirect
121. C₇×#465	C₂²	semidirect
122. C₇×#465	C₂²	semidirect
127. C₇×#464	C₂²	semidirect
134. C₇×#463	C₂²	semidirect
135. C₇×#462	C₂²	semidirect
136. C₇×#462	C₂²	semidirect
137. C₇×#461	C₂²	semidirect
138. C₇×#461	C₂²	semidirect
139. C₇×#461	C₂²	semidirect
140. C₇×#461	C₂²	semidirect
143. C₇×#460	C₂²	semidirect
144. C₇×#460	C₂²	semidirect
145. C₇×#460	C₂²	semidirect
152. C₇×#459	C₂²	semidirect
155. C₇×#452	C₂²	semidirect
164. C₇×#449	C₂²	semidirect
165. C₇×#449	C₂²	semidirect
166. C₇×#449	C₂²	semidirect
167. C₇×#448	C₂²	semidirect
168. C₇×#448	C₂²	semidirect
171. C₇×#446	C₂²	semidirect
172. C₇×#446	C₂²	semidirect
174. C₇×#442	C₂²	semidirect
175. C₇×#441	C₂²	semidirect
176. C₇×#441	C₂²	semidirect
179. C₇×#440	C₂²	semidirect
180. C₇×#440	C₂²	semidirect
181. C₄×C₇×Q₁₆	C₂²	semidirect
182. C₄×C₇×SD₁₆	C₂²	semidirect
183. C₄×C₇×SD₁₆	C₂²	semidirect
188. C₇×#435	C₂²	semidirect
190. C₇×C₈×D₄	C₂²	semidirect
192. C₇×#433	C₂²	semidirect
193. C₇×#432	C₂²	semidirect
195. C₇×#424	C₂²	semidirect
196. C₂×C₇×C₄⋊C₈	C₂²	semidirect
200. C₇×#416	C₂²	semidirect
201. C₂×C₇×#103	C₂²	semidirect
203. #62014	C₇	direct (N × H)
485. #3562	C₂×C₇	semidirect
486. #3517	C₂×C₇	semidirect
487. #3399	C₂×C₇	semidirect
488. #3397	C₂×C₇	semidirect
489. #3377	C₂×C₇	semidirect
490. #3371	C₂×C₇	semidirect
491. #3309	C₂×C₇	semidirect
492. #3308	C₂×C₇	semidirect
493. #3307	C₂×C₇	semidirect
494. #3306	C₂×C₇	semidirect
495. #3301	C₂×C₇	semidirect
496. #3297	C₂×C₇	semidirect
497. #3287	C₂×C₇	semidirect
498. #3284	C₂×C₇	semidirect
499. #3271	C₂×C₇	semidirect
500. #3271	C₂×C₇	semidirect
501. #3268	C₂×C₇	semidirect
502. #3268	C₂×C₇	semidirect
503. #3260	C₂×C₇	semidirect
504. #3259	C₂×C₇	semidirect
505. #3247	C₂×C₇	semidirect
506. #3221	C₂×C₇	semidirect
507. #3220	C₂×C₇	semidirect
508. #3214	C₂×C₇	semidirect
509. #3120	C₂×C₇	semidirect
510. #3119	C₂×C₇	semidirect
511. #3111	C₂×C₇	semidirect
512. #3046	C₂×C₇	semidirect
513. #3045	C₂×C₇	semidirect
514. #3035	C₂×C₇	semidirect
515. #2992	C₂×C₇	semidirect
738. C₂×#137	C₂²×C₇	semidirect
743. C₂×#135	C₂²×C₇	semidirect
747. #557	C₂²×C₇	semidirect
753. #553	C₂²×C₇	semidirect
759. #550	C₂²×C₇	semidirect
760. #550	C₂²×C₇	semidirect
774. #540	C₂²×C₇	semidirect
782. #532	C₂²×C₇	semidirect
787. #520	C₂²×C₇	semidirect
788. C₄×#41	C₂²×C₇	semidirect
792. #496	C₂²×C₇	semidirect
794. #492	C₂²×C₇	semidirect
795. #491	C₂²×C₇	semidirect
798. #489	C₂²×C₇	semidirect
801. #485	C₂²×C₇	semidirect
806. #480	C₂²×C₇	semidirect
807. #479	C₂²×C₇	semidirect
808. #479	C₂²×C₇	semidirect
809. #479	C₂²×C₇	semidirect
811. #478	C₂²×C₇	semidirect
812. #478	C₂²×C₇	semidirect
813. #478	C₂²×C₇	semidirect
814. #478	C₂²×C₇	semidirect
815. #477	C₂²×C₇	semidirect
818. #469	C₂²×C₇	semidirect
824. #466	C₂²×C₇	semidirect
827. #465	C₂²×C₇	semidirect
828. #465	C₂²×C₇	semidirect
833. #464	C₂²×C₇	semidirect
840. #463	C₂²×C₇	semidirect
841. #462	C₂²×C₇	semidirect
842. #462	C₂²×C₇	semidirect
843. #461	C₂²×C₇	semidirect
844. #461	C₂²×C₇	semidirect
845. #461	C₂²×C₇	semidirect
846. #461	C₂²×C₇	semidirect
849. #460	C₂²×C₇	semidirect
850. #460	C₂²×C₇	semidirect
851. #460	C₂²×C₇	semidirect
858. #459	C₂²×C₇	semidirect
861. #452	C₂²×C₇	semidirect
870. #449	C₂²×C₇	semidirect
871. #449	C₂²×C₇	semidirect
872. #449	C₂²×C₇	semidirect
873. #448	C₂²×C₇	semidirect
874. #448	C₂²×C₇	semidirect
877. #446	C₂²×C₇	semidirect
878. #446	C₂²×C₇	semidirect
880. #442	C₂²×C₇	semidirect
881. #441	C₂²×C₇	semidirect
882. #441	C₂²×C₇	semidirect
885. #440	C₂²×C₇	semidirect
886. #440	C₂²×C₇	semidirect
887. C₄×Q₁₆	C₂²×C₇	semidirect
888. C₄×SD₁₆	C₂²×C₇	semidirect
889. C₄×SD₁₆	C₂²×C₇	semidirect
894. #435	C₂²×C₇	semidirect
896. C₈×D₄	C₂²×C₇	semidirect
898. #433	C₂²×C₇	semidirect
899. #432	C₂²×C₇	semidirect
901. #424	C₂²×C₇	semidirect
902. C₂×C₄⋊C₈	C₂²×C₇	semidirect
906. #416	C₂²×C₇	semidirect
907. C₂×#103	C₂²×C₇	semidirect
1720. C₇	#62014	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×#3562	2
C₇×#3517	2
C₇×#3399	2
C₇×#3397	2
C₇×#3377	2
C₇×#3371	2
C₇×#3309	2
C₇×#3308	2
C₇×#3307	2
C₇×#3306	2
C₇×#3301	2
C₇×#3297	2
C₇×#3287	2
C₇×#3284	2
C₇×#3271	2
C₇×#3268	2
C₇×#3260	2
C₇×#3259	2
C₇×#3247	2
C₇×#3221	2
C₇×#3220	2
C₇×#3214	2
C₇×#3120	2
C₇×#3119	2
C₇×#3111	2
C₇×#3046	2
C₇×#3045	2
C₇×#3035	2
C₇×#2992	2
#62014	7

Subgroups — C7×#62014 #13239230

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62014 #13239230