Subgroups — D₇×#3545 #14261543

Order 1792.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2234 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3545	C₂	1	1	yes	maximal, characteristic, complemented
2	#11744199	C₂	1	1	yes	maximal, characteristic, complemented
3	D₇×#563	C₂	1	1	yes	maximal, characteristic, complemented
4	#11744179	C₂	1	2	yes	maximal, complemented
5	D₇×#562	C₂	1	2	yes	maximal, complemented
6	#11744159	C₂	1	1	yes	maximal, characteristic, complemented
7	D₇×H(3,𝔽₄)	C₂	1	1	yes	maximal, characteristic, complemented
8	#11744044	C₂	1	2	yes	maximal, complemented
9	D₇×#555	C₂	1	2	yes	maximal, complemented
10	#11743890	C₂	1	2	yes	maximal, complemented
11	D₇×#551	C₂	1	2	yes	maximal, complemented
12	D₇×#551	C₂	1	4	yes	maximal, complemented
13	#11743874	C₂	1	4	yes	maximal, complemented
14	D₇×#546	C₂	1	4	yes	maximal, complemented
15	#11743720	C₂	1	4	yes	maximal, complemented
16	#11743633	C₂	1	4	yes	maximal, complemented
17	D₇×#542	C₂	1	4	yes	maximal, complemented
18	#11743491	C₂	1	4	yes	maximal, complemented
19	D₇×#538	C₂	1	4	yes	maximal, complemented
20	D₇×#536	C₂	1	2	yes	maximal, complemented
21	#11743415	C₂	1	2	yes	maximal, complemented
22	D₇×#534	C₂	1	2	yes	maximal, complemented
23	#11743372	C₂	1	2	yes	maximal, complemented
24	#11743241	C₂	1	2	yes	maximal, complemented
25	D₇×#529	C₂	1	2	yes	maximal, complemented
26	#11743147	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×D₇×#124	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×D₇×#41	C₂²	1	2	yes	—
29	C₂²×Q₈×D₇	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₇	C₂²	1	1	yes	characteristic
31	C₂²×D₄×D₇	C₂²	1	2	yes	complemented
32	C₇×#563	C₂²	1	1	yes	characteristic, complemented
33	C₇×#562	C₂²	1	2	yes	complemented
34	C₇×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
35	C₇×#555	C₂²	1	2	yes	complemented
36	C₇×#551	C₂²	1	2	yes	complemented
37	C₇×#551	C₂²	1	4	yes	complemented
38	C₇×#546	C₂²	1	4	yes	complemented
39	C₇×#542	C₂²	1	4	yes	complemented
40	C₇×#538	C₂²	1	4	yes	complemented
41	C₇×#536	C₂²	1	2	yes	complemented
42	C₇×#534	C₂²	1	2	yes	complemented
43	C₇×#529	C₂²	1	2	yes	complemented
44	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
45	#90520	C₂²	1	4	yes	complemented
46	#90516	C₂²	1	2	yes	complemented
47	#90507	C₂²	1	2	yes	complemented
48	C₂×#6510	C₂²	1	1	yes	characteristic, complemented
49	#90497	C₂²	1	4	yes	complemented
50	#90495	C₂²	1	2	yes	complemented
51	#90495	C₂²	1	2	yes	complemented
52	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
53	#90426	C₂²	1	2	yes	complemented
54	#90425	C₂²	1	2	yes	complemented
55	#90424	C₂²	1	4	yes	complemented
56	#90415	C₂²	1	2	yes	complemented
57	#90415	C₂²	1	2	yes	complemented
58	D₇×C₄⋊Q₈	C₂²	1	2	yes	complemented
59	D₇×C₄⋊Q₈	C₂²	1	2	yes	complemented
60	#90403	C₂²	1	4	yes	complemented
61	#90401	C₂²	1	4	yes	complemented
62	#90401	C₂²	1	4	yes	complemented
63	#90397	C₂²	1	4	yes	complemented
64	#90396	C₂²	1	4	yes	complemented
65	#90396	C₂²	1	4	yes	complemented
66	#90396	C₂²	1	4	yes	complemented
67	#90395	C₂²	1	4	yes	complemented
68	#90395	C₂²	1	4	yes	complemented
69	D₇×#126	C₂²	1	4	yes	complemented
70	D₇×#126	C₂²	1	4	yes	complemented
71	D₇×#126	C₂²	1	4	yes	complemented
72	#90391	C₂²	1	2	yes	complemented
73	#90390	C₂²	1	2	yes	complemented
74	#90382	C₂²	1	2	yes	complemented
75	D₇×#125	C₂²	1	2	yes	complemented
76	#90375	C₂²	1	2	yes	complemented
77	#90375	C₂²	1	2	yes	complemented
78	#90374	C₂²	1	2	yes	complemented
79	#90374	C₂²	1	2	yes	complemented
80	#90374	C₂²	1	4	yes	complemented
81	#90374	C₂²	1	1	yes	characteristic, complemented
82	#90373	C₂²	1	4	yes	complemented
83	#90371	C₂²	1	2	yes	complemented
84	#90370	C₂²	1	2	yes	complemented
85	#90370	C₂²	1	4	yes	complemented
86	#90369	C₂²	1	4	yes	complemented
87	#90369	C₂²	1	4	yes	complemented
88	#90367	C₂²	1	4	yes	complemented
89	#90366	C₂²	1	2	yes	complemented
90	#90366	C₂²	1	2	yes	complemented
91	D₇×#124	C₂²	1	1	yes	characteristic
92	D₇×#124	C₂²	1	1	yes	characteristic
93	D₇×#124	C₂²	1	1	yes	characteristic, complemented
94	D₇×#124	C₂²	1	4	yes	complemented
95	D₇×#124	C₂²	1	2	yes	complemented
96	D₇×#124	C₂²	1	4	yes	complemented
97	D₇×#124	C₂²	1	4	yes	complemented
98	D₇×#124	C₂²	1	2	yes	complemented
99	D₇×#124	C₂²	1	1	yes	characteristic, complemented
100	D₇×#124	C₂²	1	2	yes	complemented
101	D₇×#124	C₂²	1	1	yes	characteristic, complemented
102	D₇×#124	C₂²	1	1	yes	characteristic, complemented
103	D₇×#124	C₂²	1	4	yes	complemented
104	D₇×#124	C₂²	1	1	yes	characteristic, complemented
105	D₇×#124	C₂²	1	1	yes	characteristic, complemented
106	#90363	C₂²	1	1	yes	characteristic, complemented
107	#90361	C₂²	1	2	yes	complemented
108	#90361	C₂²	1	4	yes	complemented
109	#90361	C₂²	1	2	yes	complemented
110	#90360	C₂²	1	4	yes	complemented
111	#90360	C₂²	1	4	yes	complemented
112	#90358	C₂²	1	4	yes	complemented
113	#90358	C₂²	1	4	yes	complemented
114	#90353	C₂²	1	4	yes	complemented
115	#90353	C₂²	1	4	yes	complemented
116	#90350	C₂²	1	2	yes	complemented
117	#90350	C₂²	1	4	yes	complemented
118	#90349	C₂²	1	4	yes	complemented
119	#90349	C₂²	1	4	yes	complemented
120	#90349	C₂²	1	4	yes	complemented
121	#90348	C₂²	1	4	yes	complemented
122	#90348	C₂²	1	4	yes	complemented
123	#90345	C₂²	1	4	yes	complemented
124	#90345	C₂²	1	4	yes	complemented
125	#90344	C₂²	1	2	yes	complemented
126	#90344	C₂²	1	2	yes	complemented
127	#90344	C₂²	1	4	yes	complemented
128	D₇×#123	C₂²	1	2	yes	—
129	D₇×#123	C₂²	1	2	yes	complemented
130	D₇×#123	C₂²	1	4	yes	complemented
131	D₇×#123	C₂²	1	4	yes	complemented
132	D₇×#123	C₂²	1	4	yes	complemented
133	D₇×#123	C₂²	1	4	yes	complemented
134	D₇×#123	C₂²	1	4	yes	complemented
135	#90342	C₂²	1	2	yes	complemented
136	#90340	C₂²	1	4	yes	complemented
137	#90339	C₂²	1	4	yes	complemented
138	#90339	C₂²	1	4	yes	complemented
139	#90338	C₂²	1	4	yes	complemented
140	#90338	C₂²	1	4	yes	complemented
141	#90337	C₂²	1	4	yes	complemented
142	#90335	C₂²	1	4	yes	complemented
143	#90334	C₂²	1	4	yes	complemented
144	#90331	C₂²	1	4	yes	complemented
145	#90331	C₂²	1	4	yes	complemented
146	#90328	C₂²	1	4	yes	complemented
147	#90328	C₂²	1	4	yes	complemented
148	#90328	C₂²	1	4	yes	complemented
149	#90321	C₂²	1	4	yes	complemented
150	#90319	C₂²	1	4	yes	complemented
151	#90319	C₂²	1	4	yes	complemented
152	D₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
153	D₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
154	D₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
155	D₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
156	D₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
157	#90315	C₂²	1	2	yes	complemented
158	#90312	C₂²	1	4	yes	complemented
159	#90312	C₂²	1	4	yes	complemented
160	#90308	C₂²	1	4	yes	complemented
161	#90307	C₂²	1	4	yes	complemented
162	#90307	C₂²	1	4	yes	complemented
163	#90304	C₂²	1	4	yes	complemented
164	#90304	C₂²	1	4	yes	complemented
165	#90303	C₂²	1	4	yes	complemented
166	#90301	C₂²	1	4	yes	complemented
167	#90301	C₂²	1	4	yes	complemented
168	#90296	C₂²	1	4	yes	complemented
169	#90296	C₂²	1	4	yes	complemented
170	D₇×#121	C₂²	1	4	yes	—
171	D₇×#121	C₂²	1	2	yes	—
172	D₇×#121	C₂²	1	4	yes	complemented
173	D₇×#121	C₂²	1	4	yes	complemented
174	D₇×#121	C₂²	1	4	yes	complemented
175	#90294	C₂²	1	4	yes	complemented
176	#90291	C₂²	1	2	yes	complemented
177	#90285	C₂²	1	4	yes	complemented
178	#90285	C₂²	1	2	yes	complemented
179	#90284	C₂²	1	4	yes	complemented
180	#90284	C₂²	1	4	yes	complemented
181	#90282	C₂²	1	4	yes	complemented
182	#90282	C₂²	1	4	yes	complemented
183	#90280	C₂²	1	4	yes	complemented
184	#90280	C₂²	1	2	yes	complemented
185	#90280	C₂²	1	2	yes	complemented
186	D₇×#120	C₂²	1	2	yes	—
187	D₇×#120	C₂²	1	4	yes	—
188	D₇×#120	C₂²	1	2	yes	complemented
189	D₇×#120	C₂²	1	4	yes	complemented
190	#90278	C₂²	1	2	yes	complemented
191	#90278	C₂²	1	4	yes	complemented
192	#90273	C₂²	1	4	yes	complemented
193	#90271	C₂²	1	2	yes	complemented
194	C₄×Q₈×D₇	C₂²	1	2	yes	complemented
195	#90254	C₂²	1	4	yes	complemented
196	#90252	C₂²	1	4	yes	complemented
197	#90251	C₂²	1	4	yes	complemented
198	#90251	C₂²	1	4	yes	complemented
199	#90248	C₂²	1	2	yes	complemented
200	#90247	C₂²	1	4	yes	complemented
201	#90247	C₂²	1	4	yes	complemented
202	#90247	C₂²	1	4	yes	complemented
203	#90245	C₂²	1	4	yes	complemented
204	#90241	C₂²	1	4	yes	complemented
205	C₄×D₄×D₇	C₂²	1	4	yes	complemented
206	C₄×D₄×D₇	C₂²	1	4	yes	complemented
207	C₄×D₄×D₇	C₂²	1	4	yes	complemented
208	C₄×D₄×D₇	C₂²	1	2	yes	complemented
209	#90229	C₂²	1	4	yes	complemented
210	#90225	C₂²	1	4	yes	complemented
211	#90223	C₂²	1	4	yes	complemented
212	#90223	C₂²	1	4	yes	complemented
213	#90219	C₂²	1	4	yes	complemented
214	#90218	C₂²	1	4	yes	complemented
215	#90218	C₂²	1	4	yes	complemented
216	#90218	C₂²	1	4	yes	complemented
217	#90217	C₂²	1	2	yes	complemented
218	D₇×#117	C₂²	1	4	yes	complemented
219	D₇×#117	C₂²	1	4	yes	complemented
220	D₇×#117	C₂²	1	2	yes	complemented
221	#90186	C₂²	1	4	yes	complemented
222	#90186	C₂²	1	4	yes	complemented
223	#90186	C₂²	1	4	yes	complemented
224	#90185	C₂²	1	4	yes	complemented
225	#90184	C₂²	1	2	yes	complemented
226	C₂×#6448	C₂²	1	4	yes	complemented
227	#90181	C₂²	1	4	yes	complemented
228	#90181	C₂²	1	4	yes	complemented
229	C₂×D₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
230	C₂×D₇×C₂²⋊C₄	C₂²	1	4	yes	complemented
231	C₂×D₇×C₂²⋊C₄	C₂²	1	4	yes	complemented
232	#90170	C₂²	1	2	yes	complemented
233	C₂×#6438	C₂²	1	1	yes	characteristic, complemented
234	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic, complemented
235	C₂×#3545	—	7	1	no	maximal, Sylow
236	C₂⁴×D₇	C₂³	1	2	yes	—
237	C₂⁴×D₇	C₂³	1	2	yes	—
238	C₂×C₇×#41	C₂³	1	2	yes	—
239	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic, complemented
240	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
241	C₂²×C₇×D₄	C₂³	1	2	yes	complemented
242	C₂²×C₂²⋊D₇	C₂³	1	2	yes	—
243	C₂²×C₂²⋊D₇	C₂³	1	2	yes	complemented
244	C₂²×C₂²⋊D₇	C₂³	1	2	yes	complemented
245	D₇×#41	—	4	8	no	—
246	C₂×#1161	C₂³	1	2	yes	—
247	C₂×Q₈×D₇	—	4	4	no	—
248	C₂×Q₈×D₇	C₂³	1	2	yes	—
249	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic
250	C₂×Q₈×D₇	C₂³	1	2	yes	—
251	C₂×Q₈×D₇	C₂³	1	2	yes	—
252	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic
253	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic, complemented
254	C₂×Q₈×D₇	C₂³	1	2	yes	complemented
255	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic, complemented
256	C₂×#1159	C₂³	1	4	yes	—
257	C₂×#1159	C₂³	1	2	yes	—
258	C₂×D₄×D₇	—	4	4	no	—
259	C₂×D₄×D₇	—	4	8	no	—
260	C₂×D₄×D₇	C₂³	1	4	yes	—
261	C₂×D₄×D₇	C₂³	1	4	yes	—
262	C₂×D₄×D₇	C₂³	1	4	yes	—
263	C₂×D₄×D₇	C₂³	1	2	yes	—
264	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
265	C₂×D₄×D₇	C₂³	1	2	yes	—
266	C₂×D₄×D₇	C₂³	1	2	yes	—
267	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
268	C₂×D₄×D₇	C₂³	1	2	yes	—
269	C₂×D₄×D₇	C₂³	1	4	yes	—
270	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
271	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
272	C₂×D₄×D₇	C₂³	1	4	yes	complemented
273	C₂×D₄×D₇	C₂³	1	4	yes	complemented
274	C₂×#1157	C₂³	1	2	yes	—
275	C₂×#1157	C₂³	1	4	yes	—
276	C₂²×D₂₈	C₂³	1	1	yes	characteristic
277	C₂²×D₂₈	C₂³	1	2	yes	complemented
278	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₇	C₂³	1	2	yes	—
280	C₂²×C₄×D₇	C₂³	1	2	yes	—
281	C₂²×C₄×D₇	C₂³	1	4	yes	—
282	C₂²×C₄×D₇	C₂³	1	4	yes	—
283	C₂²×C₄×D₇	C₂³	1	4	yes	—
284	C₂²×C₄×D₇	C₂³	1	2	yes	—
285	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic, complemented
286	C₂²×Dic₁₄	C₂³	1	2	yes	complemented
287	C₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
288	C₇×C₄⋊Q₈	C₂³	1	2	yes	complemented
289	C₇×#126	C₂³	1	4	yes	complemented
290	C₇×#126	C₂³	1	4	yes	complemented
291	C₇×#126	C₂³	1	4	yes	complemented
292	C₇×#125	C₂³	1	2	yes	complemented
293	C₇×#124	C₂³	1	1	yes	characteristic
294	C₇×#124	C₂³	1	1	yes	characteristic
295	C₇×#124	C₂³	1	2	yes	complemented
296	C₇×#124	C₂³	1	4	yes	complemented
297	C₇×#124	C₂³	1	4	yes	complemented
298	C₇×#124	C₂³	1	2	yes	complemented
299	C₇×#124	C₂³	1	2	yes	complemented
300	C₇×#124	C₂³	1	1	yes	characteristic, complemented
301	C₇×#124	C₂³	1	1	yes	characteristic, complemented
302	C₇×#124	C₂³	1	4	yes	complemented
303	C₇×#123	C₂³	1	2	yes	—
304	C₇×#123	C₂³	1	4	yes	complemented
305	C₇×#123	C₂³	1	2	yes	complemented
306	C₇×#123	C₂³	1	4	yes	complemented
307	C₇×#123	C₂³	1	4	yes	complemented
308	C₇×#123	C₂³	1	4	yes	complemented
309	C₇×#123	C₂³	1	4	yes	complemented
310	C₇×C₂²⋊Q₈	C₂³	1	2	yes	complemented
311	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
312	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
313	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
314	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
315	C₇×#121	C₂³	1	2	yes	—
316	C₇×#121	C₂³	1	4	yes	—
317	C₇×#121	C₂³	1	4	yes	complemented
318	C₇×#121	C₂³	1	4	yes	complemented
319	C₇×#121	C₂³	1	4	yes	complemented
320	C₇×#120	C₂³	1	4	yes	—
321	C₇×#120	C₂³	1	2	yes	—
322	C₇×#120	C₂³	1	2	yes	complemented
323	C₇×#120	C₂³	1	4	yes	complemented
324	C₄×C₇×Q₈	C₂³	1	2	yes	complemented
325	C₄×C₇×D₄	C₂³	1	4	yes	complemented
326	C₄×C₇×D₄	C₂³	1	4	yes	complemented
327	C₄×C₇×D₄	C₂³	1	4	yes	complemented
328	C₄×C₇×D₄	C₂³	1	2	yes	complemented
329	C₇×#117	C₂³	1	2	yes	complemented
330	C₇×#117	C₂³	1	4	yes	complemented
331	C₇×#117	C₂³	1	4	yes	complemented
332	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
333	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
334	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
335	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic, complemented
336	#6516	C₂³	1	4	yes	—
337	#6516	C₂³	1	2	yes	—
338	#6516	C₂³	1	4	yes	complemented
339	#6516	C₂³	1	2	yes	complemented
340	C₂×C₂²⋊Dic₇	C₂³	1	4	yes	complemented
341	C₂×C₂²⋊Dic₇	C₂³	1	2	yes	complemented
342	C₂×C₂²⋊Dic₇	C₂³	1	4	yes	complemented
343	#6510	C₂³	1	1	yes	characteristic
344	#6510	C₂³	1	1	yes	characteristic
345	#6510	C₂³	1	2	yes	complemented
346	#6510	C₂³	1	4	yes	complemented
347	#6510	C₂³	1	2	yes	complemented
348	#6510	C₂³	1	2	yes	complemented
349	#6510	C₂³	1	4	yes	complemented
350	#6510	C₂³	1	4	yes	complemented
351	#6510	C₂³	1	1	yes	characteristic, complemented
352	#6510	C₂³	1	1	yes	characteristic, complemented
353	#6509	C₂³	1	4	yes	complemented
354	#6509	C₂³	1	2	yes	complemented
355	#6509	C₂³	1	4	yes	complemented
356	#6509	C₂³	1	4	yes	complemented
357	#6509	C₂³	1	4	yes	complemented
358	Q₈×Dic₇	C₂³	1	2	yes	complemented
359	#6507	C₂³	1	2	yes	complemented
360	#6507	C₂³	1	2	yes	complemented
361	#6507	C₂³	1	2	yes	complemented
362	#6507	C₂³	1	2	yes	complemented
363	#6502	C₂³	1	4	yes	—
364	#6502	C₂³	1	4	yes	—
365	#6502	C₂³	1	4	yes	—
366	#6502	C₂³	1	4	yes	complemented
367	#6502	C₂³	1	4	yes	complemented
368	#6502	C₂³	1	4	yes	complemented
369	#6502	C₂³	1	4	yes	complemented
370	#6502	C₂³	1	4	yes	complemented
371	#6502	C₂³	1	4	yes	complemented
372	#6501	C₂³	1	2	yes	—
373	#6501	C₂³	1	4	yes	—
374	#6501	C₂³	1	4	yes	complemented
375	#6501	C₂³	1	4	yes	complemented
376	#6501	C₂³	1	4	yes	complemented
377	#6500	C₂³	1	2	yes	—
378	#6500	C₂³	1	4	yes	—
379	#6500	C₂³	1	4	yes	—
380	#6500	C₂³	1	4	yes	—
381	#6500	C₂³	1	4	yes	—
382	#6500	C₂³	1	2	yes	complemented
383	#6500	C₂³	1	4	yes	complemented
384	#6500	C₂³	1	4	yes	complemented
385	#6500	C₂³	1	4	yes	complemented
386	#6500	C₂³	1	4	yes	complemented
387	#6499	C₂³	1	1	yes	characteristic
388	#6499	C₂³	1	1	yes	characteristic
389	#6499	C₂³	1	4	yes	complemented
390	#6499	C₂³	1	1	yes	characteristic, complemented
391	#6499	C₂³	1	1	yes	characteristic, complemented
392	#6499	C₂³	1	4	yes	complemented
393	#6499	C₂³	1	2	yes	complemented
394	#6499	C₂³	1	4	yes	complemented
395	#6499	C₂³	1	2	yes	complemented
396	#6499	C₂³	1	2	yes	complemented
397	#6498	C₂³	1	2	yes	—
398	#6498	C₂³	1	4	yes	complemented
399	#6498	C₂³	1	4	yes	complemented
400	#6498	C₂³	1	2	yes	complemented
401	#6498	C₂³	1	4	yes	complemented
402	#6498	C₂³	1	4	yes	complemented
403	#6498	C₂³	1	4	yes	complemented
404	D₄×Dic₇	C₂³	1	2	yes	complemented
405	D₄×Dic₇	C₂³	1	4	yes	complemented
406	D₄×Dic₇	C₂³	1	4	yes	complemented
407	D₄×Dic₇	C₂³	1	4	yes	complemented
408	#6493	C₂³	1	2	yes	—
409	#6493	C₂³	1	4	yes	—
410	#6493	C₂³	1	4	yes	complemented
411	#6493	C₂³	1	4	yes	complemented
412	#6493	C₂³	1	4	yes	complemented
413	#6492	C₂³	1	2	yes	—
414	#6492	C₂³	1	4	yes	complemented
415	#6492	C₂³	1	4	yes	complemented
416	#6492	C₂³	1	4	yes	complemented
417	#6492	C₂³	1	4	yes	complemented
418	#6492	C₂³	1	4	yes	complemented
419	#6492	C₂³	1	2	yes	complemented
420	C₄×C₂²⋊D₇	C₂³	1	4	yes	complemented
421	C₄×C₂²⋊D₇	C₂³	1	4	yes	complemented
422	C₄×C₂²⋊D₇	C₂³	1	4	yes	complemented
423	C₄×C₂²⋊D₇	C₂³	1	4	yes	complemented
424	C₄×C₂²⋊D₇	C₂³	1	4	yes	complemented
425	C₄×C₂²⋊D₇	C₂³	1	4	yes	complemented
426	C₄×C₂²⋊D₇	C₂³	1	4	yes	complemented
427	C₂×(C₂×D₇)⋊C₄	C₂³	1	4	yes	complemented
428	C₂×(C₂×D₇)⋊C₄	C₂³	1	4	yes	complemented
429	C₂×(C₂×D₇)⋊C₄	C₂³	1	4	yes	complemented
430	C₂×(C₂×D₇)⋊C₄	C₂³	1	4	yes	complemented
431	C₂×(C₂×D₇)⋊C₄	C₂³	1	4	yes	complemented
432	#6489	C₂³	1	2	yes	complemented
433	#6489	C₂³	1	4	yes	complemented
434	#6489	C₂³	1	4	yes	complemented
435	#6487	C₂³	1	2	yes	complemented
436	#6487	C₂³	1	4	yes	complemented
437	#6487	C₂³	1	4	yes	complemented
438	#6487	C₂³	1	4	yes	complemented
439	#6487	C₂³	1	4	yes	complemented
440	C₂×C₄×Dic₇	C₂³	1	2	yes	complemented
441	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic, complemented
442	#6461	C₂³	1	4	yes	complemented
443	#6461	C₂³	1	4	yes	complemented
444	#6461	C₂³	1	4	yes	complemented
445	#6461	C₂³	1	4	yes	complemented
446	#6461	C₂³	1	4	yes	complemented
447	#6461	C₂³	1	4	yes	complemented
448	#6461	C₂³	1	4	yes	complemented
449	#6461	C₂³	1	4	yes	complemented
450	#6461	C₂³	1	4	yes	complemented
451	#6460	C₂³	1	2	yes	complemented
452	#6460	C₂³	1	4	yes	complemented
453	#6460	C₂³	1	4	yes	complemented
454	#6460	C₂³	1	4	yes	complemented
455	#6460	C₂³	1	4	yes	complemented
456	#6459	C₂³	1	4	yes	complemented
457	#6459	C₂³	1	4	yes	complemented
458	#6459	C₂³	1	4	yes	complemented
459	#6459	C₂³	1	4	yes	complemented
460	#6459	C₂³	1	4	yes	complemented
461	#6459	C₂³	1	4	yes	complemented
462	#6459	C₂³	1	4	yes	complemented
463	#6459	C₂³	1	4	yes	complemented
464	#6459	C₂³	1	4	yes	complemented
465	#6458	C₂³	1	2	yes	—
466	#6458	C₂³	1	4	yes	—
467	#6458	C₂³	1	4	yes	complemented
468	#6458	C₂³	1	4	yes	complemented
469	#6458	C₂³	1	4	yes	complemented
470	#6457	C₂³	1	4	yes	—
471	#6457	C₂³	1	4	yes	complemented
472	#6457	C₂³	1	4	yes	complemented
473	#6457	C₂³	1	4	yes	complemented
474	#6457	C₂³	1	4	yes	complemented
475	#6457	C₂³	1	4	yes	complemented
476	#6457	C₂³	1	4	yes	complemented
477	#6457	C₂³	1	4	yes	complemented
478	#6457	C₂³	1	4	yes	complemented
479	#6457	C₂³	1	4	yes	complemented
480	#6457	C₂³	1	4	yes	complemented
481	#6457	C₂³	1	4	yes	complemented
482	#6456	C₂³	1	2	yes	complemented
483	#6456	C₂³	1	4	yes	complemented
484	#6456	C₂³	1	4	yes	complemented
485	#6456	C₂³	1	4	yes	complemented
486	#6455	C₂³	1	4	yes	complemented
487	#6455	C₂³	1	4	yes	complemented
488	#6455	C₂³	1	4	yes	complemented
489	#6455	C₂³	1	4	yes	complemented
490	#6455	C₂³	1	4	yes	complemented
491	D₇×C₄⋊C₄	C₂³	1	4	yes	—
492	D₇×C₄⋊C₄	C₂³	1	2	yes	—
493	D₇×C₄⋊C₄	C₂³	1	4	yes	—
494	D₇×C₄⋊C₄	C₂³	1	2	yes	—
495	D₇×C₄⋊C₄	C₂³	1	4	yes	—
496	D₇×C₄⋊C₄	C₂³	1	4	yes	—
497	D₇×C₄⋊C₄	C₂³	1	4	yes	—
498	D₇×C₄⋊C₄	C₂³	1	4	yes	—
499	D₇×C₄⋊C₄	C₂³	1	4	yes	—
500	#6453	C₂³	1	2	yes	complemented
501	#6453	C₂³	1	2	yes	complemented
502	#6452	C₂³	1	4	yes	complemented
503	#6452	C₂³	1	4	yes	complemented
504	#6451	C₂³	1	4	yes	complemented
505	#6451	C₂³	1	4	yes	complemented
506	#6451	C₂³	1	4	yes	complemented
507	#6451	C₂³	1	4	yes	complemented
508	#6450	C₂³	1	2	yes	complemented
509	#6450	C₂³	1	4	yes	complemented
510	#6449	C₂³	1	2	yes	—
511	#6449	C₂³	1	4	yes	complemented
512	#6449	C₂³	1	4	yes	complemented
513	#6449	C₂³	1	2	yes	complemented
514	#6449	C₂³	1	4	yes	complemented
515	#6449	C₂³	1	4	yes	complemented
516	#6449	C₂³	1	4	yes	complemented
517	#6448	C₂³	1	4	yes	—
518	#6448	C₂³	1	4	yes	—
519	#6448	C₂³	1	4	yes	complemented
520	#6448	C₂³	1	4	yes	complemented
521	#6448	C₂³	1	4	yes	complemented
522	#6448	C₂³	1	4	yes	complemented
523	#6448	C₂³	1	4	yes	complemented
524	#6448	C₂³	1	4	yes	complemented
525	#6448	C₂³	1	4	yes	complemented
526	#6448	C₂³	1	4	yes	complemented
527	#6448	C₂³	1	4	yes	complemented
528	#6448	C₂³	1	4	yes	complemented
529	#6448	C₂³	1	4	yes	complemented
530	#6448	C₂³	1	4	yes	complemented
531	#6448	C₂³	1	4	yes	complemented
532	#6448	C₂³	1	4	yes	complemented
533	#6448	C₂³	1	4	yes	complemented
534	#6448	C₂³	1	4	yes	complemented
535	#6448	C₂³	1	4	yes	complemented
536	#6448	C₂³	1	4	yes	complemented
537	#6448	C₂³	1	4	yes	complemented
538	#6448	C₂³	1	4	yes	complemented
539	#6447	C₂³	1	4	yes	—
540	#6447	C₂³	1	4	yes	—
541	#6447	C₂³	1	4	yes	—
542	#6447	C₂³	1	4	yes	complemented
543	#6447	C₂³	1	4	yes	complemented
544	#6447	C₂³	1	4	yes	complemented
545	#6447	C₂³	1	4	yes	complemented
546	#6447	C₂³	1	4	yes	complemented
547	#6447	C₂³	1	4	yes	complemented
548	#6446	C₂³	1	4	yes	—
549	#6446	C₂³	1	4	yes	complemented
550	#6446	C₂³	1	4	yes	complemented
551	#6446	C₂³	1	4	yes	complemented
552	#6446	C₂³	1	4	yes	complemented
553	#6446	C₂³	1	4	yes	complemented
554	#6446	C₂³	1	4	yes	complemented
555	#6446	C₂³	1	4	yes	complemented
556	#6446	C₂³	1	4	yes	complemented
557	#6446	C₂³	1	4	yes	complemented
558	#6446	C₂³	1	4	yes	complemented
559	#6446	C₂³	1	4	yes	complemented
560	#6445	C₂³	1	2	yes	—
561	#6445	C₂³	1	4	yes	—
562	#6445	C₂³	1	4	yes	—
563	#6445	C₂³	1	4	yes	—
564	#6445	C₂³	1	4	yes	—
565	#6445	C₂³	1	4	yes	complemented
566	#6445	C₂³	1	4	yes	complemented
567	#6445	C₂³	1	4	yes	complemented
568	#6445	C₂³	1	4	yes	complemented
569	#6445	C₂³	1	2	yes	complemented
570	(C₂²⋊D₇)⋊C₄	C₂³	1	4	yes	complemented
571	(C₂²⋊D₇)⋊C₄	C₂³	1	4	yes	complemented
572	(C₂²⋊D₇)⋊C₄	C₂³	1	4	yes	complemented
573	(C₂²⋊D₇)⋊C₄	C₂³	1	4	yes	complemented
574	(C₂²⋊D₇)⋊C₄	C₂³	1	4	yes	complemented
575	(C₂²⋊D₇)⋊C₄	C₂³	1	4	yes	complemented
576	(C₂²⋊D₇)⋊C₄	C₂³	1	4	yes	complemented
577	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
578	D₇×C₂²⋊C₄	C₂³	1	2	yes	—
579	D₇×C₂²⋊C₄	C₂³	1	2	yes	—
580	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
581	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
582	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
583	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
584	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
585	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
586	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
587	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
588	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
589	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
590	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
591	D₇×C₂²⋊C₄	C₂³	1	4	yes	—
592	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
593	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
594	D₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
595	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
596	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
597	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
598	D₇×C₂²⋊C₄	C₂³	1	2	yes	complemented
599	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
600	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
601	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
602	D₇×C₂²⋊C₄	C₂³	1	4	yes	complemented
603	#6442	C₂³	1	4	yes	complemented
604	#6442	C₂³	1	4	yes	complemented
605	#6442	C₂³	1	4	yes	complemented
606	#6442	C₂³	1	4	yes	complemented
607	#6442	C₂³	1	4	yes	complemented
608	#6442	C₂³	1	4	yes	complemented
609	#6442	C₂³	1	4	yes	complemented
610	#6442	C₂³	1	4	yes	complemented
611	#6442	C₂³	1	4	yes	complemented
612	#6441	C₂³	1	4	yes	complemented
613	#6441	C₂³	1	4	yes	complemented
614	#6441	C₂³	1	4	yes	complemented
615	#6441	C₂³	1	4	yes	complemented
616	#6441	C₂³	1	4	yes	complemented
617	#6441	C₂³	1	4	yes	complemented
618	#6441	C₂³	1	4	yes	complemented
619	#6441	C₂³	1	4	yes	complemented
620	#6441	C₂³	1	4	yes	complemented
621	#6440	C₂³	1	4	yes	complemented
622	#6440	C₂³	1	4	yes	complemented
623	#6440	C₂³	1	4	yes	complemented
624	#6440	C₂³	1	4	yes	complemented
625	#6440	C₂³	1	4	yes	complemented
626	#6439	C₂³	1	4	yes	complemented
627	#6439	C₂³	1	4	yes	complemented
628	#6439	C₂³	1	4	yes	complemented
629	#6438	C₂³	1	1	yes	characteristic
630	#6438	C₂³	1	1	yes	characteristic
631	#6438	C₂³	1	2	yes	complemented
632	#6438	C₂³	1	2	yes	complemented
633	#6438	C₂³	1	4	yes	complemented
634	#6438	C₂³	1	1	yes	characteristic, complemented
635	#6438	C₂³	1	2	yes	complemented
636	#6438	C₂³	1	4	yes	complemented
637	#6438	C₂³	1	4	yes	complemented
638	#6438	C₂³	1	1	yes	characteristic, complemented
639	C₄×D₂₈	C₂³	1	2	yes	complemented
640	C₄×D₂₈	C₂³	1	4	yes	complemented
641	C₄×D₂₈	C₂³	1	4	yes	complemented
642	C₄×D₂₈	C₂³	1	4	yes	complemented
643	#6435	C₂³	1	2	yes	complemented
644	#6435	C₂³	1	4	yes	complemented
645	#6435	C₂³	1	4	yes	complemented
646	#6435	C₂³	1	2	yes	complemented
647	#6435	C₂³	1	4	yes	complemented
648	#6435	C₂³	1	4	yes	complemented
649	C₄²×D₇	C₂³	1	1	yes	characteristic
650	C₄²×D₇	C₂³	1	2	yes	—
651	C₄²×D₇	C₂³	1	2	yes	—
652	C₄²×D₇	C₂³	1	4	yes	—
653	C₄²×D₇	C₂³	1	2	yes	—
654	C₄²×D₇	C₂³	1	1	yes	characteristic
655	C₄²×D₇	C₂³	1	1	yes	characteristic, complemented
656	C₄²×D₇	C₂³	1	2	yes	complemented
657	C₄²×D₇	C₂³	1	1	yes	characteristic, complemented
658	#6433	C₂³	1	2	yes	complemented
659	#6432	C₂³	1	2	yes	complemented
660	#6432	C₂³	1	2	yes	complemented
661	C₄×Dic₁₄	C₂³	1	2	yes	complemented
662	C₄×Dic₁₄	C₂³	1	4	yes	complemented
663	#3545	—	7	1	no	—
664	#3545	—	7	2	no	—
665	#3545	—	7	1	no	—
666	#3545	—	7	2	no	—
667	#3545	—	7	4	no	—
668	#3545	—	7	2	no	—
669	#3545	—	7	4	no	—
670	#3545	—	7	4	no	—
671	#3545	—	7	4	no	—
672	#3545	—	7	2	no	—
673	#3545	—	7	2	no	—
674	#3545	—	7	2	no	—
675	#3545	—	7	1	no	—
676	#3545	D₇	1	1	yes	characteristic, direct product factor
677	C₂×#563	—	7	1	no	—
678	C₂×#562	—	7	2	no	—
679	C₂×H(3,𝔽₄)	—	7	1	no	—
680	C₂×#555	—	7	2	no	—
681	C₂×#551	—	7	4	no	—
682	C₂×#551	—	7	2	no	—
683	C₂×#546	—	7	4	no	—
684	C₂×#542	—	7	4	no	—
685	C₂×#538	—	7	4	no	—
686	C₂×#536	—	7	2	no	—
687	C₂×#534	—	7	2	no	—
688	C₂×#529	—	7	2	no	—
689	C₂²×#124	—	7	1	no	—
690	C₂⁴×C₇	C₂⁴	1	2	yes	—
691	C₂⁴×C₇	C₂⁴	1	2	yes	—
692	C₂³×D₇	—	2	8	no	—
693	C₂³×D₇	—	4	4	no	—
694	C₂³×D₇	—	4	8	no	—
695	C₂³×D₇	—	4	8	no	—
696	C₂³×D₇	C₂⁴	1	2	yes	—
697	C₂³×D₇	C₂⁴	1	4	yes	—
698	C₂³×D₇	C₂⁴	1	2	yes	—
699	C₂³×D₇	C₂⁴	1	1	yes	characteristic
700	C₂³×D₇	C₂⁴	1	2	yes	—
701	C₂³×D₇	C₂⁴	1	2	yes	—
702	C₂³×D₇	C₂⁴	1	2	yes	—
703	C₂³×D₇	C₂⁴	1	2	yes	—
704	C₂³×D₇	C₂⁴	1	4	yes	—
705	C₇×#41	—	4	4	no	—
706	C₂×C₇×Q₈	—	4	2	no	—
707	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
708	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
709	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
710	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
711	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
712	C₂×C₇×D₄	—	4	2	no	—
713	C₂×C₇×D₄	—	4	4	no	—
714	C₂×C₇×D₄	C₂⁴	1	4	yes	—
715	C₂×C₇×D₄	C₂⁴	1	4	yes	—
716	C₂×C₇×D₄	C₂⁴	1	4	yes	—
717	C₂×C₇×D₄	C₂⁴	1	2	yes	—
718	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
719	C₂×C₇×D₄	C₂⁴	1	2	yes	—
720	C₂×C₇×D₄	C₂⁴	1	4	yes	—
721	C₂×C₇×D₄	C₂⁴	1	2	yes	—
722	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
723	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
724	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
725	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
726	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
727	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
728	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
729	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
730	C₂×C₂²⋊D₇	—	4	4	no	—
731	C₂×C₂²⋊D₇	—	4	4	no	—
732	C₂×C₂²⋊D₇	—	4	4	no	—
733	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
734	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
735	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
736	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
737	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
738	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
739	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
740	C₂×C₂²⋊D₇	C₂⁴	1	2	yes	—
741	C₂×C₂²⋊D₇	C₂⁴	1	2	yes	—
742	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
743	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
744	C₂×C₂²⋊D₇	C₂⁴	1	2	yes	—
745	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
746	C₂×C₂²⋊D₇	C₂⁴	1	2	yes	—
747	C₂²×Dic₇	C₂⁴	1	2	yes	—
748	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
749	C₂²×Dic₇	C₂⁴	1	4	yes	—
750	C₂²×Dic₇	C₂⁴	1	4	yes	—
751	C₂²×Dic₇	C₂⁴	1	2	yes	—
752	C₂²×Dic₇	C₂⁴	1	4	yes	—
753	C₂²×Dic₇	C₂⁴	1	2	yes	—
754	#1161	—	4	4	no	—
755	Q₈×D₇	—	4	2	no	—
756	Q₈×D₇	—	4	4	no	—
757	Q₈×D₇	—	4	2	no	—
758	Q₈×D₇	—	4	2	no	—
759	Q₈×D₇	—	4	4	no	—
760	Q₈×D₇	—	4	2	no	—
761	Q₈×D₇	—	4	4	no	—
762	Q₈×D₇	—	4	4	no	—
763	#1159	—	4	4	no	—
764	#1159	—	4	8	no	—
765	D₄×D₇	—	2	16	no	—
766	D₄×D₇	—	4	2	no	—
767	D₄×D₇	—	4	4	no	—
768	D₄×D₇	—	4	2	no	—
769	D₄×D₇	—	4	2	no	—
770	D₄×D₇	—	4	4	no	—
771	D₄×D₇	—	4	2	no	—
772	D₄×D₇	—	4	8	no	—
773	D₄×D₇	—	4	8	no	—
774	D₄×D₇	—	4	8	no	—
775	D₄×D₇	—	4	4	no	—
776	D₄×D₇	—	4	4	no	—
777	D₄×D₇	—	4	8	no	—
778	D₄×D₇	—	4	8	no	—
779	#1157	—	4	8	no	—
780	#1157	—	4	4	no	—
781	C₂×D₂₈	—	4	4	no	—
782	C₂×D₂₈	—	4	2	no	—
783	C₂×D₂₈	C₂⁴	1	4	yes	—
784	C₂×D₂₈	C₂⁴	1	4	yes	—
785	C₂×D₂₈	C₂⁴	1	2	yes	—
786	C₂×D₂₈	C₂⁴	1	4	yes	—
787	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
788	C₂×D₂₈	C₂⁴	1	2	yes	—
789	C₂×D₂₈	C₂⁴	1	2	yes	—
790	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
791	C₂×D₂₈	C₂⁴	1	4	yes	—
792	C₂×C₄×D₇	—	2	4	no	—
793	C₂×C₄×D₇	—	2	8	no	—
794	C₂×C₄×D₇	—	4	8	no	—
795	C₂×C₄×D₇	—	4	4	no	—
796	C₂×C₄×D₇	—	4	8	no	—
797	C₂×C₄×D₇	—	4	4	no	—
798	C₂×C₄×D₇	—	4	8	no	—
799	C₂×C₄×D₇	C₂⁴	1	2	yes	—
800	C₂×C₄×D₇	C₂⁴	1	2	yes	—
801	C₂×C₄×D₇	C₂⁴	1	4	yes	—
802	C₂×C₄×D₇	C₂⁴	1	2	yes	—
803	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
804	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
805	C₂×C₄×D₇	C₂⁴	1	4	yes	—
806	C₂×C₄×D₇	C₂⁴	1	4	yes	—
807	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
808	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
809	C₂×C₄×D₇	C₂⁴	1	2	yes	—
810	C₂×C₄×D₇	C₂⁴	1	2	yes	—
811	C₂×C₄×D₇	C₂⁴	1	2	yes	—
812	C₂×C₄×D₇	C₂⁴	1	2	yes	—
813	C₂×C₄×D₇	C₂⁴	1	2	yes	—
814	C₂×C₄×D₇	C₂⁴	1	4	yes	—
815	C₂×C₄×D₇	C₂⁴	1	4	yes	—
816	C₂×C₄×D₇	C₂⁴	1	4	yes	—
817	C₂×C₄×D₇	C₂⁴	1	4	yes	—
818	C₂×C₄×D₇	C₂⁴	1	4	yes	—
819	C₂×C₄×D₇	C₂⁴	1	4	yes	—
820	C₂×C₄×D₇	C₂⁴	1	4	yes	—
821	C₂×Dic₁₄	—	4	2	no	—
822	C₂×Dic₁₄	—	4	4	no	—
823	C₂×Dic₁₄	C₂⁴	1	2	yes	—
824	C₂×Dic₁₄	C₂⁴	1	4	yes	—
825	C₂×Dic₁₄	C₂⁴	1	2	yes	—
826	C₂×Dic₁₄	C₂⁴	1	2	yes	—
827	C₂×Dic₁₄	C₂⁴	1	2	yes	—
828	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
829	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
830	C₂×Dic₁₄	C₂⁴	1	2	yes	—
831	C₂×Dic₁₄	C₂⁴	1	4	yes	—
832	C₂×Dic₁₄	C₂⁴	1	2	yes	—
833	C₂×Dic₁₄	C₂⁴	1	2	yes	—
834	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
835	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
836	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
837	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
838	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
839	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
840	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
841	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
842	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
843	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
844	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
855	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
856	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₄²×C₇	C₂⁴	1	2	yes	—
859	C₄²×C₇	C₂⁴	1	4	yes	—
860	C₄²×C₇	C₂⁴	1	2	yes	—
861	C₄²×C₇	C₂⁴	1	2	yes	—
862	C₄²×C₇	C₂⁴	1	1	yes	characteristic
863	C₄²×C₇	C₂⁴	1	1	yes	characteristic
864	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
865	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
866	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
867	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
868	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
869	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
870	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
871	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
872	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
873	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
874	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
875	C₂²⋊Dic₇	C₂⁴	1	2	yes	—
876	C₂²⋊Dic₇	C₂⁴	1	2	yes	—
877	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
878	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
879	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
880	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
881	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
882	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
883	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
884	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
885	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
886	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
887	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
888	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
889	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
890	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
891	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
892	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
893	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
894	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
895	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
896	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
897	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
898	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
899	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
900	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
901	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
902	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
903	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
904	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
905	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
906	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
907	C₄⋊Dic₇	C₂⁴	1	4	yes	—
908	C₄⋊Dic₇	C₂⁴	1	2	yes	—
909	C₄⋊Dic₇	C₂⁴	1	4	yes	—
910	C₄⋊Dic₇	C₂⁴	1	4	yes	—
911	C₄⋊Dic₇	C₂⁴	1	4	yes	—
912	C₄⋊Dic₇	C₂⁴	1	2	yes	—
913	C₄⋊Dic₇	C₂⁴	1	4	yes	—
914	C₄⋊Dic₇	C₂⁴	1	4	yes	—
915	C₄⋊Dic₇	C₂⁴	1	4	yes	—
916	Dic₇⋊C₄	C₂⁴	1	4	yes	—
917	Dic₇⋊C₄	C₂⁴	1	4	yes	—
918	Dic₇⋊C₄	C₂⁴	1	4	yes	—
919	Dic₇⋊C₄	C₂⁴	1	4	yes	—
920	Dic₇⋊C₄	C₂⁴	1	4	yes	—
921	Dic₇⋊C₄	C₂⁴	1	4	yes	—
922	Dic₇⋊C₄	C₂⁴	1	4	yes	—
923	Dic₇⋊C₄	C₂⁴	1	4	yes	—
924	Dic₇⋊C₄	C₂⁴	1	4	yes	—
925	Dic₇⋊C₄	C₂⁴	1	4	yes	—
926	Dic₇⋊C₄	C₂⁴	1	4	yes	—
927	Dic₇⋊C₄	C₂⁴	1	4	yes	—
928	Dic₇⋊C₄	C₂⁴	1	4	yes	—
929	Dic₇⋊C₄	C₂⁴	1	4	yes	—
930	Dic₇⋊C₄	C₂⁴	1	4	yes	—
931	Dic₇⋊C₄	C₂⁴	1	4	yes	—
932	C₄×Dic₇	C₂⁴	1	2	yes	—
933	C₄×Dic₇	C₂⁴	1	4	yes	—
934	C₄×Dic₇	C₂⁴	1	2	yes	—
935	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
936	C₄×Dic₇	C₂⁴	1	2	yes	—
937	C₄×Dic₇	C₂⁴	1	2	yes	—
938	C₄×Dic₇	C₂⁴	1	2	yes	—
939	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
940	C₄×Dic₇	C₂⁴	1	4	yes	—
941	C₄×Dic₇	C₂⁴	1	2	yes	—
942	C₄×Dic₇	C₂⁴	1	4	yes	—
943	C₄×Dic₇	C₂⁴	1	2	yes	—
944	C₄×Dic₇	C₂⁴	1	4	yes	—
945	C₄×Dic₇	C₂⁴	1	4	yes	—
946	C₂²×#41	—	7	2	no	—
947	C₂³×Q₈	—	7	1	no	—
948	C₂³×D₄	—	7	1	no	—
949	C₂³×D₄	—	7	2	no	—
950	#563	—	7	2	no	—
951	#563	—	7	4	no	—
952	#563	—	7	2	no	—
953	#563	—	7	1	no	—
954	#563	—	7	2	no	—
955	#563	—	7	4	no	—
956	#563	C₂×D₇	1	1	yes	characteristic, complemented
957	#562	—	7	2	no	—
958	#562	—	7	2	no	—
959	#562	—	7	2	no	—
960	#562	—	7	4	no	—
961	#562	—	7	4	no	—
962	#562	—	7	4	no	—
963	#562	—	7	4	no	—
964	#562	—	7	4	no	—
965	#562	—	7	4	no	—
966	#562	C₂×D₇	1	2	yes	complemented
967	H(3,𝔽₄)	—	7	1	no	—
968	H(3,𝔽₄)	—	7	4	no	—
969	H(3,𝔽₄)	—	7	2	no	—
970	H(3,𝔽₄)	—	7	2	no	—
971	H(3,𝔽₄)	—	7	2	no	—
972	H(3,𝔽₄)	—	7	4	no	—
973	H(3,𝔽₄)	C₂×D₇	1	1	yes	characteristic, complemented
974	#555	—	7	2	no	—
975	#555	—	7	2	no	—
976	#555	—	7	4	no	—
977	#555	—	7	2	no	—
978	#555	—	7	4	no	—
979	#555	—	7	4	no	—
980	#555	—	7	4	no	—
981	#555	—	7	4	no	—
982	#555	—	7	4	no	—
983	#555	C₂×D₇	1	2	yes	complemented
984	#551	—	7	4	no	—
985	#551	—	7	4	no	—
986	#551	—	7	4	no	—
987	#551	—	7	2	no	—
988	#551	—	7	4	no	—
989	#551	—	7	2	no	—
990	#551	—	7	4	no	—
991	#551	—	7	4	no	—
992	#551	—	7	4	no	—
993	#551	—	7	4	no	—
994	#551	—	7	4	no	—
995	#551	—	7	4	no	—
996	#551	—	7	4	no	—
997	#551	—	7	4	no	—
998	#551	—	7	2	no	—
999	#551	—	7	4	no	—
1000	#551	—	7	4	no	—
1001	#551	—	7	4	no	—
1002	#551	—	7	4	no	—
1003	#551	—	7	4	no	—
1004	#551	—	7	4	no	—
1005	#551	—	7	4	no	—
1006	#551	—	7	4	no	—
1007	#551	—	7	4	no	—
1008	#551	C₂×D₇	1	2	yes	complemented
1009	#551	C₂×D₇	1	4	yes	complemented
1010	#546	—	7	4	no	—
1011	#546	—	7	4	no	—
1012	#546	—	7	4	no	—
1013	#546	—	7	4	no	—
1014	#546	—	7	4	no	—
1015	#546	—	7	4	no	—
1016	#546	—	7	4	no	—
1017	#546	—	7	4	no	—
1018	#546	—	7	4	no	—
1019	#546	—	7	4	no	—
1020	#546	—	7	4	no	—
1021	#546	—	7	4	no	—
1022	#546	—	7	4	no	—
1023	#546	—	7	4	no	—
1024	#546	—	7	4	no	—
1025	#546	C₂×D₇	1	4	yes	complemented
1026	#542	—	7	4	no	—
1027	#542	—	7	4	no	—
1028	#542	—	7	4	no	—
1029	#542	—	7	4	no	—
1030	#542	—	7	4	no	—
1031	#542	—	7	4	no	—
1032	#542	—	7	4	no	—
1033	#542	—	7	4	no	—
1034	#542	—	7	4	no	—
1035	#542	—	7	4	no	—
1036	#542	—	7	4	no	—
1037	#542	—	7	4	no	—
1038	#542	—	7	4	no	—
1039	#542	—	7	4	no	—
1040	#542	—	7	4	no	—
1041	#542	C₂×D₇	1	4	yes	complemented
1042	#538	—	7	4	no	—
1043	#538	—	7	4	no	—
1044	#538	—	7	4	no	—
1045	#538	—	7	4	no	—
1046	#538	—	7	4	no	—
1047	#538	—	7	4	no	—
1048	#538	—	7	4	no	—
1049	#538	—	7	4	no	—
1050	#538	—	7	4	no	—
1051	#538	—	7	4	no	—
1052	#538	—	7	4	no	—
1053	#538	—	7	4	no	—
1054	#538	—	7	4	no	—
1055	#538	—	7	4	no	—
1056	#538	—	7	4	no	—
1057	#538	C₂×D₇	1	4	yes	complemented
1058	#536	—	7	2	no	—
1059	#536	—	7	2	no	—
1060	#536	—	7	2	no	—
1061	#536	—	7	2	no	—
1062	#536	—	7	2	no	—
1063	#536	—	7	2	no	—
1064	#536	—	7	4	no	—
1065	#536	—	7	4	no	—
1066	#536	—	7	4	no	—
1067	#536	—	7	4	no	—
1068	#536	—	7	2	no	—
1069	#536	C₂×D₇	1	2	yes	complemented
1070	#534	—	7	2	no	—
1071	#534	—	7	2	no	—
1072	#534	—	7	2	no	—
1073	#534	—	7	2	no	—
1074	#534	—	7	4	no	—
1075	#534	—	7	4	no	—
1076	#534	—	7	4	no	—
1077	#534	—	7	2	no	—
1078	#534	—	7	4	no	—
1079	#534	—	7	2	no	—
1080	#534	—	7	2	no	—
1081	#534	C₂×D₇	1	2	yes	complemented
1082	C₂×C₄⋊Q₈	—	7	2	no	—
1083	C₂×C₄⋊Q₈	—	7	2	no	—
1084	#529	—	7	4	no	—
1085	#529	—	7	2	no	—
1086	#529	—	7	2	no	—
1087	#529	—	7	4	no	—
1088	#529	—	7	2	no	—
1089	#529	—	7	2	no	—
1090	#529	—	7	2	no	—
1091	#529	—	7	4	no	—
1092	#529	—	7	2	no	—
1093	#529	—	7	4	no	—
1094	#529	—	7	2	no	—
1095	#529	C₂×D₇	1	2	yes	complemented
1096	C₂×#126	—	7	4	no	—
1097	C₂×#126	—	7	4	no	—
1098	C₂×#126	—	7	4	no	—
1099	C₂×#125	—	7	2	no	—
1100	C₂×#124	—	7	1	no	—
1101	C₂×#124	—	7	1	no	—
1102	C₂×#124	—	7	1	no	—
1103	C₂×#124	—	7	1	no	—
1104	C₂×#124	—	7	1	no	—
1105	C₂×#124	—	7	1	no	—
1106	C₂×#124	—	7	4	no	—
1107	C₂×#124	—	7	1	no	—
1108	C₂×#124	—	7	1	no	—
1109	C₂×#124	—	7	4	no	—
1110	C₂×#124	—	7	1	no	—
1111	C₂×#124	—	7	1	no	—
1112	C₂×#124	—	7	2	no	—
1113	C₂×#124	—	7	2	no	—
1114	C₂×#124	—	7	2	no	—
1115	C₂×#124	—	7	4	no	—
1116	C₂×#124	—	7	4	no	—
1117	C₂×#124	—	7	4	no	—
1118	C₂×#124	—	7	1	no	—
1119	C₂×#124	C₂×D₇	1	1	yes	characteristic, complemented
1120	C₂×#123	—	7	2	no	—
1121	C₂×#123	—	7	4	no	—
1122	C₂×#123	—	7	2	no	—
1123	C₂×#123	—	7	4	no	—
1124	C₂×#123	—	7	4	no	—
1125	C₂×#123	—	7	4	no	—
1126	C₂×#123	—	7	4	no	—
1127	C₂×C₂²⋊Q₈	—	7	2	no	—
1128	C₂×C₂²⋊Q₈	—	7	4	no	—
1129	C₂×C₂²⋊Q₈	—	7	4	no	—
1130	C₂×C₂²⋊Q₈	—	7	4	no	—
1131	C₂×C₂²⋊Q₈	—	7	4	no	—
1132	C₂×#121	—	7	2	no	—
1133	C₂×#121	—	7	4	no	—
1134	C₂×#121	—	7	4	no	—
1135	C₂×#121	—	7	4	no	—
1136	C₂×#121	—	7	4	no	—
1137	C₂×#120	—	7	4	no	—
1138	C₂×#120	—	7	2	no	—
1139	C₂×#120	—	7	2	no	—
1140	C₂×#120	—	7	4	no	—
1141	C₂×C₄×Q₈	—	7	2	no	—
1142	C₂×C₄×D₄	—	7	2	no	—
1143	C₂×C₄×D₄	—	7	4	no	—
1144	C₂×C₄×D₄	—	7	4	no	—
1145	C₂×C₄×D₄	—	7	4	no	—
1146	C₂×#117	—	7	4	no	—
1147	C₂×#117	—	7	2	no	—
1148	C₂×#117	—	7	4	no	—
1149	C₂²×C₂²⋊C₄	—	7	4	no	—
1150	C₂²×C₂²⋊C₄	—	7	2	no	—
1151	C₂²×C₂²⋊C₄	—	7	4	no	—
1152	C₂²×C₄²	—	7	1	no	—
1153	C₂³×C₇	—	2	4	no	—
1154	C₂³×C₇	—	4	2	no	—
1155	C₂³×C₇	—	4	4	no	—
1156	C₂³×C₇	—	4	4	no	—
1157	C₂³×C₇	C₂⁵	1	2	yes	—
1158	C₂³×C₇	C₂⁵	1	4	yes	—
1159	C₂³×C₇	C₂⁵	1	2	yes	—
1160	C₂³×C₇	C₂⁵	1	1	yes	characteristic
1161	C₂²×D₇	—	2	4	no	—
1162	C₂²×D₇	—	2	4	no	—
1163	C₂²×D₇	—	2	8	no	—
1164	C₂²×D₇	—	2	4	no	—
1165	C₂²×D₇	—	2	4	no	—
1166	C₂²×D₇	—	2	8	no	—
1167	C₂²×D₇	—	2	8	no	—
1168	C₂²×D₇	—	2	8	no	—
1169	C₂²×D₇	—	2	8	no	—
1170	C₂²×D₇	—	2	4	no	—
1171	C₂²×D₇	—	2	4	no	—
1172	C₂²×D₇	—	4	2	no	—
1173	C₂²×D₇	—	4	4	no	—
1174	C₂²×D₇	—	4	4	no	—
1175	C₂²×D₇	—	4	4	no	—
1176	C₂²×D₇	—	4	4	no	—
1177	C₂²×D₇	—	4	4	no	—
1178	C₂²×D₇	—	4	4	no	—
1179	C₂²×D₇	—	4	4	no	—
1180	C₂²×D₇	—	8	16	no	—
1181	C₂²×D₇	—	8	16	no	—
1182	C₂²×D₇	H(5,𝔽₂)	1	4	yes	—
1183	C₂²×D₇	C₂⁵	1	2	yes	—
1184	C₂²×D₇	C₂⁵	1	4	yes	—
1185	C₂²×D₇	C₂⁵	1	2	yes	—
1186	C₂²×D₇	C₂⁵	1	1	yes	characteristic
1187	C₂²×D₇	C₂⁵	1	1	yes	characteristic
1188	C₇×Q₈	—	4	1	no	—
1189	C₇×Q₈	—	4	2	no	—
1190	C₇×Q₈	—	4	1	no	—
1191	C₇×Q₈	—	4	2	no	—
1192	C₇×Q₈	—	4	2	no	—
1193	C₇×D₄	—	2	8	no	—
1194	C₇×D₄	—	4	1	no	—
1195	C₇×D₄	—	4	2	no	—
1196	C₇×D₄	—	4	1	no	—
1197	C₇×D₄	—	4	4	no	—
1198	C₇×D₄	—	4	2	no	—
1199	C₇×D₄	—	4	4	no	—
1200	C₇×D₄	—	4	2	no	—
1201	C₇×D₄	—	4	4	no	—
1202	C₂×C₄×C₇	—	2	2	no	—
1203	C₂×C₄×C₇	—	2	4	no	—
1204	C₂×C₄×C₇	—	4	2	no	—
1205	C₂×C₄×C₇	—	4	4	no	—
1206	C₂×C₄×C₇	—	4	2	no	—
1207	C₂×C₄×C₇	—	4	4	no	—
1208	C₂×C₄×C₇	—	4	4	no	—
1209	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1210	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1211	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
1212	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1213	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1214	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1215	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1216	C₂×C₄×C₇	C₂⁵	1	4	yes	—
1217	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1218	C₂²⋊D₇	—	2	8	no	—
1219	C₂²⋊D₇	—	2	8	no	—
1220	C₂²⋊D₇	—	4	4	no	—
1221	C₂²⋊D₇	—	4	2	no	—
1222	C₂²⋊D₇	—	4	2	no	—
1223	C₂²⋊D₇	—	4	2	no	—
1224	C₂²⋊D₇	—	4	2	no	—
1225	C₂²⋊D₇	—	4	4	no	—
1226	C₂²⋊D₇	—	4	4	no	—
1227	C₂²⋊D₇	—	4	4	no	—
1228	C₂²⋊D₇	—	4	4	no	—
1229	C₂²⋊D₇	—	4	4	no	—
1230	C₂²⋊D₇	—	4	4	no	—
1231	C₂²⋊D₇	—	4	4	no	—
1232	C₂×Dic₇	—	2	4	no	—
1233	C₂×Dic₇	—	2	2	no	—
1234	C₂×Dic₇	—	4	4	no	—
1235	C₂×Dic₇	—	4	2	no	—
1236	C₂×Dic₇	—	4	4	no	—
1237	C₂×Dic₇	—	4	4	no	—
1238	C₂×Dic₇	—	4	2	no	—
1239	C₂×Dic₇	C₂⁵	1	2	yes	—
1240	C₂×Dic₇	C₂⁵	1	2	yes	—
1241	C₂×Dic₇	C₂⁵	1	4	yes	—
1242	C₂×Dic₇	C₂⁵	1	1	yes	characteristic
1243	C₂×Dic₇	C₂⁵	1	1	yes	characteristic
1244	C₂×Dic₇	C₂⁵	1	2	yes	—
1245	C₂×Dic₇	C₂⁵	1	4	yes	—
1246	C₂×Dic₇	C₂⁵	1	4	yes	—
1247	C₂×Dic₇	C₂⁵	1	2	yes	—
1248	D₂₈	—	2	8	no	—
1249	D₂₈	—	4	1	no	—
1250	D₂₈	—	4	2	no	—
1251	D₂₈	—	4	1	no	—
1252	D₂₈	—	4	4	no	—
1253	D₂₈	—	4	2	no	—
1254	D₂₈	—	4	4	no	—
1255	D₂₈	—	4	2	no	—
1256	D₂₈	—	4	4	no	—
1257	C₄×D₇	—	2	4	no	—
1258	C₄×D₇	—	2	4	no	—
1259	C₄×D₇	—	2	2	no	—
1260	C₄×D₇	—	2	2	no	—
1261	C₄×D₇	—	2	2	no	—
1262	C₄×D₇	—	2	2	no	—
1263	C₄×D₇	—	2	4	no	—
1264	C₄×D₇	—	2	4	no	—
1265	C₄×D₇	—	2	8	no	—
1266	C₄×D₇	—	2	4	no	—
1267	C₄×D₇	—	2	8	no	—
1268	C₄×D₇	—	2	4	no	—
1269	C₄×D₇	—	2	8	no	—
1270	C₄×D₇	—	4	2	no	—
1271	C₄×D₇	—	4	4	no	—
1272	C₄×D₇	—	4	2	no	—
1273	C₄×D₇	—	4	4	no	—
1274	C₄×D₇	—	4	4	no	—
1275	C₄×D₇	—	4	4	no	—
1276	C₄×D₇	—	4	4	no	—
1277	C₄×D₇	—	4	4	no	—
1278	C₄×D₇	—	4	4	no	—
1279	Dic₁₄	—	4	1	no	—
1280	Dic₁₄	—	4	2	no	—
1281	Dic₁₄	—	4	2	no	—
1282	Dic₁₄	—	4	2	no	—
1283	Dic₁₄	—	4	1	no	—
1284	Dic₁₄	—	4	2	no	—
1285	Dic₁₄	—	4	2	no	—
1286	Dic₁₄	—	4	4	no	—
1287	Dic₁₄	—	4	2	no	—
1288	Dic₁₄	—	4	2	no	—
1289	Dic₁₄	—	4	4	no	—
1290	C₂⁵	—	7	2	no	—
1291	C₂⁵	—	7	2	no	—
1292	C₂×#41	—	7	2	no	—
1293	C₂×#41	—	7	4	no	—
1294	C₂×#41	—	7	2	no	—
1295	C₂×#41	—	7	4	no	—
1296	C₂×#41	—	7	2	no	—
1297	C₂×#41	—	28	8	no	—
1298	C₂×#41	C₂²×D₇	1	2	yes	—
1299	C₂²×Q₈	—	7	2	no	—
1300	C₂²×Q₈	—	7	1	no	—
1301	C₂²×Q₈	—	7	2	no	—
1302	C₂²×Q₈	—	7	2	no	—
1303	C₂²×Q₈	—	7	1	no	—
1304	C₂²×Q₈	—	7	1	no	—
1305	C₂²×Q₈	—	7	2	no	—
1306	C₂²×Q₈	—	7	1	no	—
1307	C₂²×Q₈	—	7	2	no	—
1308	C₂²×Q₈	—	7	1	no	—
1309	C₂²×Q₈	—	28	4	no	—
1310	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic, complemented
1311	C₂²×D₄	—	7	2	no	—
1312	C₂²×D₄	—	7	2	no	—
1313	C₂²×D₄	—	7	2	no	—
1314	C₂²×D₄	—	7	4	no	—
1315	C₂²×D₄	—	7	4	no	—
1316	C₂²×D₄	—	7	4	no	—
1317	C₂²×D₄	—	7	2	no	—
1318	C₂²×D₄	—	7	2	no	—
1319	C₂²×D₄	—	7	1	no	—
1320	C₂²×D₄	—	7	2	no	—
1321	C₂²×D₄	—	7	4	no	—
1322	C₂²×D₄	—	7	1	no	—
1323	C₂²×D₄	—	7	2	no	—
1324	C₂²×D₄	—	7	1	no	—
1325	C₂²×D₄	—	7	1	no	—
1326	C₂²×D₄	—	7	4	no	—
1327	C₂²×D₄	—	7	4	no	—
1328	C₂²×D₄	—	7	1	no	—
1329	C₂²×D₄	—	7	2	no	—
1330	C₂²×D₄	—	28	4	no	—
1331	C₂²×D₄	—	28	8	no	—
1332	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1333	C₂²×D₄	C₂²×D₇	1	2	yes	complemented
1334	C₂³×C₄	—	7	2	no	—
1335	C₂³×C₄	—	7	1	no	—
1336	C₂³×C₄	—	7	2	no	—
1337	C₂³×C₄	—	7	4	no	—
1338	C₂³×C₄	—	7	4	no	—
1339	C₂³×C₄	—	7	4	no	—
1340	C₂³×C₄	—	7	2	no	—
1341	C₄⋊Q₈	—	7	2	no	—
1342	C₄⋊Q₈	—	7	2	no	—
1343	C₄⋊Q₈	—	7	2	no	—
1344	C₄⋊Q₈	—	7	2	no	—
1345	C₄⋊Q₈	—	7	4	no	—
1346	C₄⋊Q₈	—	7	4	no	—
1347	C₄⋊Q₈	—	7	4	no	—
1348	C₄⋊Q₈	—	7	4	no	—
1349	C₄⋊Q₈	—	7	2	no	—
1350	C₄⋊Q₈	—	7	2	no	—
1351	C₄⋊Q₈	C₂²×D₇	1	2	yes	complemented
1352	C₄⋊Q₈	C₂²×D₇	1	2	yes	complemented
1353	#126	—	7	4	no	—
1354	#126	—	7	4	no	—
1355	#126	—	7	4	no	—
1356	#126	—	7	4	no	—
1357	#126	—	7	4	no	—
1358	#126	—	7	4	no	—
1359	#126	—	7	4	no	—
1360	#126	—	7	4	no	—
1361	#126	—	7	4	no	—
1362	#126	—	7	4	no	—
1363	#126	—	7	4	no	—
1364	#126	—	7	4	no	—
1365	#126	—	7	4	no	—
1366	#126	—	7	4	no	—
1367	#126	—	7	4	no	—
1368	#126	—	7	4	no	—
1369	#126	—	7	4	no	—
1370	#126	—	7	4	no	—
1371	#126	—	7	4	no	—
1372	#126	—	7	4	no	—
1373	#126	—	7	4	no	—
1374	#126	C₂²×D₇	1	4	yes	complemented
1375	#126	C₂²×D₇	1	4	yes	complemented
1376	#126	C₂²×D₇	1	4	yes	complemented
1377	#125	—	7	4	no	—
1378	#125	—	7	4	no	—
1379	#125	—	7	2	no	—
1380	#125	—	7	2	no	—
1381	#125	—	7	2	no	—
1382	#125	C₂²×D₇	1	2	yes	complemented
1383	#124	—	7	4	no	—
1384	#124	—	7	1	no	—
1385	#124	—	7	1	no	—
1386	#124	—	7	1	no	—
1387	#124	—	7	1	no	—
1388	#124	—	7	2	no	—
1389	#124	—	7	2	no	—
1390	#124	—	7	2	no	—
1391	#124	—	7	4	no	—
1392	#124	—	7	4	no	—
1393	#124	—	7	4	no	—
1394	#124	—	7	1	no	—
1395	#124	—	7	1	no	—
1396	#124	—	7	1	no	—
1397	#124	—	7	1	no	—
1398	#124	—	7	2	no	—
1399	#124	—	7	2	no	—
1400	#124	—	7	2	no	—
1401	#124	—	7	4	no	—
1402	#124	—	7	4	no	—
1403	#124	—	7	4	no	—
1404	#124	—	7	4	no	—
1405	#124	—	7	4	no	—
1406	#124	—	7	4	no	—
1407	#124	—	7	4	no	—
1408	#124	—	7	4	no	—
1409	#124	—	7	4	no	—
1410	#124	—	7	4	no	—
1411	#124	—	7	4	no	—
1412	#124	—	7	4	no	—
1413	#124	—	7	4	no	—
1414	#124	—	7	4	no	—
1415	#124	—	7	4	no	—
1416	#124	—	7	4	no	—
1417	#124	—	7	4	no	—
1418	#124	—	7	4	no	—
1419	#124	—	7	4	no	—
1420	#124	—	7	4	no	—
1421	#124	—	7	4	no	—
1422	#124	—	7	4	no	—
1423	#124	—	7	4	no	—
1424	#124	—	7	4	no	—
1425	#124	—	7	4	no	—
1426	#124	—	7	1	no	—
1427	#124	—	7	1	no	—
1428	#124	—	7	1	no	—
1429	#124	—	7	1	no	—
1430	#124	—	7	2	no	—
1431	#124	—	7	2	no	—
1432	#124	—	7	2	no	—
1433	#124	—	7	4	no	—
1434	#124	—	7	4	no	—
1435	#124	C₂²×D₇	1	1	yes	characteristic
1436	#124	C₂²×D₇	1	1	yes	characteristic
1437	#124	C₂²×D₇	1	4	yes	complemented
1438	#124	C₂²×D₇	1	1	yes	characteristic, complemented
1439	#124	C₂²×D₇	1	1	yes	characteristic, complemented
1440	#124	C₂²×D₇	1	2	yes	complemented
1441	#124	C₂²×D₇	1	2	yes	complemented
1442	#124	C₂²×D₇	1	2	yes	complemented
1443	#124	C₂²×D₇	1	4	yes	complemented
1444	#124	C₂²×D₇	1	4	yes	complemented
1445	#123	—	7	4	no	—
1446	#123	—	7	2	no	—
1447	#123	—	7	2	no	—
1448	#123	—	7	4	no	—
1449	#123	—	7	4	no	—
1450	#123	—	7	4	no	—
1451	#123	—	7	4	no	—
1452	#123	—	7	4	no	—
1453	#123	—	7	2	no	—
1454	#123	—	7	2	no	—
1455	#123	—	7	4	no	—
1456	#123	—	7	4	no	—
1457	#123	—	7	4	no	—
1458	#123	—	7	4	no	—
1459	#123	—	7	4	no	—
1460	#123	—	7	4	no	—
1461	#123	—	7	4	no	—
1462	#123	—	7	4	no	—
1463	#123	—	7	4	no	—
1464	#123	—	7	4	no	—
1465	#123	—	7	4	no	—
1466	#123	—	7	4	no	—
1467	#123	—	7	4	no	—
1468	#123	—	7	4	no	—
1469	#123	—	7	4	no	—
1470	#123	—	7	4	no	—
1471	#123	—	7	4	no	—
1472	#123	—	7	4	no	—
1473	#123	—	7	4	no	—
1474	#123	—	7	4	no	—
1475	#123	—	7	2	no	—
1476	#123	—	7	4	no	—
1477	#123	—	7	2	no	—
1478	#123	—	7	4	no	—
1479	#123	—	7	4	no	—
1480	#123	—	7	4	no	—
1481	#123	—	7	4	no	—
1482	#123	—	7	4	no	—
1483	#123	—	7	4	no	—
1484	#123	—	7	4	no	—
1485	#123	—	7	4	no	—
1486	#123	—	7	4	no	—
1487	#123	—	7	4	no	—
1488	#123	—	7	4	no	—
1489	#123	—	7	4	no	—
1490	#123	C₂²×D₇	1	2	yes	—
1491	#123	C₂²×D₇	1	4	yes	complemented
1492	#123	C₂²×D₇	1	2	yes	complemented
1493	#123	C₂²×D₇	1	4	yes	complemented
1494	#123	C₂²×D₇	1	4	yes	complemented
1495	#123	C₂²×D₇	1	4	yes	complemented
1496	#123	C₂²×D₇	1	4	yes	complemented
1497	C₂²⋊Q₈	—	7	2	no	—
1498	C₂²⋊Q₈	—	7	4	no	—
1499	C₂²⋊Q₈	—	7	4	no	—
1500	C₂²⋊Q₈	—	7	4	no	—
1501	C₂²⋊Q₈	—	7	4	no	—
1502	C₂²⋊Q₈	—	7	2	no	—
1503	C₂²⋊Q₈	—	7	4	no	—
1504	C₂²⋊Q₈	—	7	4	no	—
1505	C₂²⋊Q₈	—	7	4	no	—
1506	C₂²⋊Q₈	—	7	4	no	—
1507	C₂²⋊Q₈	—	7	4	no	—
1508	C₂²⋊Q₈	—	7	2	no	—
1509	C₂²⋊Q₈	—	7	4	no	—
1510	C₂²⋊Q₈	—	7	4	no	—
1511	C₂²⋊Q₈	—	7	4	no	—
1512	C₂²⋊Q₈	—	7	4	no	—
1513	C₂²⋊Q₈	—	7	4	no	—
1514	C₂²⋊Q₈	—	7	4	no	—
1515	C₂²⋊Q₈	—	7	4	no	—
1516	C₂²⋊Q₈	—	7	4	no	—
1517	C₂²⋊Q₈	—	7	4	no	—
1518	C₂²⋊Q₈	—	7	4	no	—
1519	C₂²⋊Q₈	—	7	4	no	—
1520	C₂²⋊Q₈	—	7	4	no	—
1521	C₂²⋊Q₈	—	7	4	no	—
1522	C₂²⋊Q₈	—	7	4	no	—
1523	C₂²⋊Q₈	—	7	4	no	—
1524	C₂²⋊Q₈	—	7	4	no	—
1525	C₂²⋊Q₈	—	7	4	no	—
1526	C₂²⋊Q₈	—	7	4	no	—
1527	C₂²⋊Q₈	—	7	4	no	—
1528	C₂²⋊Q₈	—	7	4	no	—
1529	C₂²⋊Q₈	—	7	4	no	—
1530	C₂²⋊Q₈	C₂²×D₇	1	2	yes	complemented
1531	C₂²⋊Q₈	C₂²×D₇	1	4	yes	complemented
1532	C₂²⋊Q₈	C₂²×D₇	1	4	yes	complemented
1533	C₂²⋊Q₈	C₂²×D₇	1	4	yes	complemented
1534	C₂²⋊Q₈	C₂²×D₇	1	4	yes	complemented
1535	#121	—	7	2	no	—
1536	#121	—	7	4	no	—
1537	#121	—	7	4	no	—
1538	#121	—	7	4	no	—
1539	#121	—	7	4	no	—
1540	#121	—	7	4	no	—
1541	#121	—	7	4	no	—
1542	#121	—	7	4	no	—
1543	#121	—	7	4	no	—
1544	#121	—	7	4	no	—
1545	#121	—	7	4	no	—
1546	#121	—	7	4	no	—
1547	#121	—	7	4	no	—
1548	#121	—	7	4	no	—
1549	#121	—	7	2	no	—
1550	#121	—	7	4	no	—
1551	#121	—	7	4	no	—
1552	#121	—	7	4	no	—
1553	#121	—	7	4	no	—
1554	#121	—	7	2	no	—
1555	#121	—	7	4	no	—
1556	#121	—	7	4	no	—
1557	#121	—	7	4	no	—
1558	#121	—	7	4	no	—
1559	#121	—	7	4	no	—
1560	#121	—	7	4	no	—
1561	#121	—	7	4	no	—
1562	#121	—	7	4	no	—
1563	#121	—	7	4	no	—
1564	#121	—	7	4	no	—
1565	#121	—	7	4	no	—
1566	#121	—	7	4	no	—
1567	#121	—	7	4	no	—
1568	#121	C₂²×D₇	1	2	yes	—
1569	#121	C₂²×D₇	1	4	yes	—
1570	#121	C₂²×D₇	1	4	yes	complemented
1571	#121	C₂²×D₇	1	4	yes	complemented
1572	#121	C₂²×D₇	1	4	yes	complemented
1573	#120	—	7	2	no	—
1574	#120	—	7	4	no	—
1575	#120	—	7	2	no	—
1576	#120	—	7	4	no	—
1577	#120	—	7	2	no	—
1578	#120	—	7	4	no	—
1579	#120	—	7	4	no	—
1580	#120	—	7	4	no	—
1581	#120	—	7	4	no	—
1582	#120	—	7	2	no	—
1583	#120	—	7	4	no	—
1584	#120	—	7	4	no	—
1585	#120	—	7	4	no	—
1586	#120	—	7	4	no	—
1587	#120	—	7	4	no	—
1588	#120	—	7	2	no	—
1589	#120	—	7	4	no	—
1590	#120	—	7	4	no	—
1591	#120	—	7	4	no	—
1592	#120	—	7	4	no	—
1593	#120	—	7	2	no	—
1594	#120	—	7	4	no	—
1595	#120	—	7	4	no	—
1596	#120	—	7	4	no	—
1597	#120	C₂²×D₇	1	4	yes	—
1598	#120	C₂²×D₇	1	2	yes	—
1599	#120	C₂²×D₇	1	2	yes	complemented
1600	#120	C₂²×D₇	1	4	yes	complemented
1601	C₄×Q₈	—	7	2	no	—
1602	C₄×Q₈	—	7	4	no	—
1603	C₄×Q₈	—	7	2	no	—
1604	C₄×Q₈	—	7	4	no	—
1605	C₄×Q₈	—	7	2	no	—
1606	C₄×Q₈	C₂²×D₇	1	2	yes	complemented
1607	C₄×D₄	—	7	2	no	—
1608	C₄×D₄	—	7	4	no	—
1609	C₄×D₄	—	7	4	no	—
1610	C₄×D₄	—	7	4	no	—
1611	C₄×D₄	—	7	4	no	—
1612	C₄×D₄	—	7	4	no	—
1613	C₄×D₄	—	7	4	no	—
1614	C₄×D₄	—	7	4	no	—
1615	C₄×D₄	—	7	4	no	—
1616	C₄×D₄	—	7	4	no	—
1617	C₄×D₄	—	7	4	no	—
1618	C₄×D₄	—	7	2	no	—
1619	C₄×D₄	—	7	4	no	—
1620	C₄×D₄	—	7	4	no	—
1621	C₄×D₄	—	7	4	no	—
1622	C₄×D₄	—	7	4	no	—
1623	C₄×D₄	—	7	4	no	—
1624	C₄×D₄	—	7	4	no	—
1625	C₄×D₄	—	7	4	no	—
1626	C₄×D₄	—	7	4	no	—
1627	C₄×D₄	—	7	4	no	—
1628	C₄×D₄	—	7	4	no	—
1629	C₄×D₄	—	7	2	no	—
1630	C₄×D₄	—	7	4	no	—
1631	C₄×D₄	—	7	4	no	—
1632	C₄×D₄	—	7	4	no	—
1633	C₄×D₄	C₂²×D₇	1	2	yes	complemented
1634	C₄×D₄	C₂²×D₇	1	4	yes	complemented
1635	C₄×D₄	C₂²×D₇	1	4	yes	complemented
1636	C₄×D₄	C₂²×D₇	1	4	yes	complemented
1637	#117	—	7	4	no	—
1638	#117	—	7	2	no	—
1639	#117	—	7	4	no	—
1640	#117	—	7	4	no	—
1641	#117	—	7	4	no	—
1642	#117	—	7	4	no	—
1643	#117	—	7	4	no	—
1644	#117	—	7	4	no	—
1645	#117	—	7	4	no	—
1646	#117	—	7	4	no	—
1647	#117	—	7	4	no	—
1648	#117	—	7	4	no	—
1649	#117	—	7	4	no	—
1650	#117	—	7	4	no	—
1651	#117	—	7	4	no	—
1652	#117	—	7	2	no	—
1653	#117	—	7	2	no	—
1654	#117	—	7	4	no	—
1655	#117	—	7	4	no	—
1656	#117	C₂²×D₇	1	4	yes	complemented
1657	#117	C₂²×D₇	1	2	yes	complemented
1658	#117	C₂²×D₇	1	4	yes	complemented
1659	C₂×C₄⋊C₄	—	7	4	no	—
1660	C₂×C₄⋊C₄	—	7	4	no	—
1661	C₂×C₄⋊C₄	—	7	4	no	—
1662	C₂×C₄⋊C₄	—	7	4	no	—
1663	C₂×C₄⋊C₄	—	7	4	no	—
1664	C₂×C₄⋊C₄	—	7	4	no	—
1665	C₂×C₄⋊C₄	—	7	2	no	—
1666	C₂×C₄⋊C₄	—	7	2	no	—
1667	C₂×C₄⋊C₄	—	7	4	no	—
1668	C₂×C₂²⋊C₄	—	7	4	no	—
1669	C₂×C₂²⋊C₄	—	7	2	no	—
1670	C₂×C₂²⋊C₄	—	7	4	no	—
1671	C₂×C₂²⋊C₄	—	7	4	no	—
1672	C₂×C₂²⋊C₄	—	7	4	no	—
1673	C₂×C₂²⋊C₄	—	7	4	no	—
1674	C₂×C₂²⋊C₄	—	7	4	no	—
1675	C₂×C₂²⋊C₄	—	7	4	no	—
1676	C₂×C₂²⋊C₄	—	7	4	no	—
1677	C₂×C₂²⋊C₄	—	7	4	no	—
1678	C₂×C₂²⋊C₄	—	7	4	no	—
1679	C₂×C₂²⋊C₄	—	7	4	no	—
1680	C₂×C₂²⋊C₄	—	7	4	no	—
1681	C₂×C₂²⋊C₄	—	7	4	no	—
1682	C₂×C₂²⋊C₄	—	7	2	no	—
1683	C₂×C₂²⋊C₄	—	7	2	no	—
1684	C₂×C₂²⋊C₄	—	7	4	no	—
1685	C₂×C₂²⋊C₄	—	7	4	no	—
1686	C₂×C₂²⋊C₄	—	7	4	no	—
1687	C₂×C₂²⋊C₄	—	7	4	no	—
1688	C₂×C₂²⋊C₄	—	7	4	no	—
1689	C₂×C₂²⋊C₄	—	7	4	no	—
1690	C₂×C₂²⋊C₄	—	7	4	no	—
1691	C₂×C₂²⋊C₄	—	7	2	no	—
1692	C₂×C₂²⋊C₄	—	7	2	no	—
1693	C₂×C₂²⋊C₄	—	7	4	no	—
1694	C₂×C₂²⋊C₄	—	7	4	no	—
1695	C₂×C₂²⋊C₄	—	7	4	no	—
1696	C₂×C₂²⋊C₄	—	7	4	no	—
1697	C₂×C₂²⋊C₄	—	7	4	no	—
1698	C₂×C₂²⋊C₄	—	7	4	no	—
1699	C₂×C₂²⋊C₄	—	7	4	no	—
1700	C₂×C₂²⋊C₄	—	7	4	no	—
1701	C₂×C₂²⋊C₄	—	7	4	no	—
1702	C₂×C₂²⋊C₄	C₂²×D₇	1	4	yes	complemented
1703	C₂×C₂²⋊C₄	C₂²×D₇	1	2	yes	complemented
1704	C₂×C₂²⋊C₄	C₂²×D₇	1	4	yes	complemented
1705	C₂×C₄²	—	7	2	no	—
1706	C₂×C₄²	—	7	1	no	—
1707	C₂×C₄²	—	7	1	no	—
1708	C₂×C₄²	—	7	2	no	—
1709	C₂×C₄²	—	7	4	no	—
1710	C₂×C₄²	—	7	2	no	—
1711	C₂×C₄²	—	7	2	no	—
1712	C₂×C₄²	—	7	1	no	—
1713	C₂×C₄²	—	7	1	no	—
1714	C₂×C₄²	—	7	2	no	—
1715	C₂×C₄²	—	7	1	no	—
1716	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic, complemented
1717	C₂²×C₇	—	2	2	no	—
1718	C₂²×C₇	—	2	4	no	—
1719	C₂²×C₇	—	2	2	no	—
1720	C₂²×C₇	—	2	2	no	—
1721	C₂²×C₇	—	2	4	no	—
1722	C₂²×C₇	—	2	4	no	—
1723	C₂²×C₇	—	2	4	no	—
1724	C₂²×C₇	—	2	4	no	—
1725	C₂²×C₇	—	8	4	no	—
1726	C₂²×C₇	—	8	4	no	—
1727	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1728	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1729	C₂×D₇	—	2	2	no	—
1730	C₂×D₇	—	2	8	no	—
1731	C₂×D₇	—	2	4	no	—
1732	C₂×D₇	—	2	2	no	—
1733	C₂×D₇	—	2	2	no	—
1734	C₂×D₇	—	2	4	no	—
1735	C₂×D₇	—	2	4	no	—
1736	C₂×D₇	—	2	4	no	—
1737	C₂×D₇	—	2	4	no	—
1738	C₂×D₇	—	4	16	no	—
1739	C₂×D₇	—	4	8	no	—
1740	C₂×D₇	—	4	8	no	—
1741	C₂×D₇	—	8	4	no	—
1742	C₂×D₇	—	8	4	no	—
1743	C₂×D₇	—	8	4	no	—
1744	C₂×D₇	—	8	4	no	—
1745	C₂×D₇	—	8	8	no	—
1746	C₂×D₇	C₂×H(5,𝔽₂)	1	2	yes	—
1747	C₂×D₇	C₂×H(5,𝔽₂)	1	2	yes	—
1748	C₂×D₇	#585	1	4	yes	—
1749	C₄×C₇	—	2	2	no	—
1750	C₄×C₇	—	2	2	no	—
1751	C₄×C₇	—	2	1	no	—
1752	C₄×C₇	—	2	1	no	—
1753	C₄×C₇	—	2	4	no	—
1754	C₄×C₇	—	2	2	no	—
1755	C₄×C₇	—	2	4	no	—
1756	C₄×C₇	—	2	2	no	—
1757	C₄×C₇	—	2	4	no	—
1758	Dic₇	—	2	2	no	—
1759	Dic₇	—	2	2	no	—
1760	Dic₇	—	2	1	no	—
1761	Dic₇	—	2	1	no	—
1762	Dic₇	—	2	4	no	—
1763	Dic₇	—	2	2	no	—
1764	Dic₇	—	2	4	no	—
1765	Dic₇	—	2	2	no	—
1766	Dic₇	—	2	4	no	—
1767	C₂⁴	—	7	1	no	—
1768	C₂⁴	—	7	2	no	—
1769	C₂⁴	—	7	4	no	—
1770	C₂⁴	—	7	2	no	—
1771	C₂⁴	—	7	2	no	—
1772	C₂⁴	—	7	2	no	—
1773	C₂⁴	—	7	2	no	—
1774	C₂⁴	—	7	4	no	—
1775	C₂⁴	—	7	2	no	—
1776	C₂⁴	—	14	8	no	—
1777	C₂⁴	—	28	4	no	—
1778	C₂⁴	—	28	8	no	—
1779	C₂⁴	—	28	8	no	—
1780	C₂⁴	C₂³×D₇	1	2	yes	—
1781	C₂⁴	C₂³×D₇	1	2	yes	—
1782	#41	—	4	4	no	—
1783	#41	—	28	4	no	—
1784	#41	—	28	8	no	—
1785	#41	—	28	8	no	—
1786	#41	—	28	4	no	—
1787	#41	—	28	4	no	—
1788	C₂×Q₈	—	4	2	no	—
1789	C₂×Q₈	—	7	2	no	—
1790	C₂×Q₈	—	7	4	no	—
1791	C₂×Q₈	—	7	2	no	—
1792	C₂×Q₈	—	7	1	no	—
1793	C₂×Q₈	—	7	2	no	—
1794	C₂×Q₈	—	7	2	no	—
1795	C₂×Q₈	—	7	2	no	—
1796	C₂×Q₈	—	7	4	no	—
1797	C₂×Q₈	—	7	2	no	—
1798	C₂×Q₈	—	7	1	no	—
1799	C₂×Q₈	—	7	2	no	—
1800	C₂×Q₈	—	28	2	no	—
1801	C₂×Q₈	—	28	4	no	—
1802	C₂×Q₈	—	28	4	no	—
1803	C₂×Q₈	—	28	2	no	—
1804	C₂×Q₈	—	28	4	no	—
1805	C₂×Q₈	—	28	2	no	—
1806	C₂×Q₈	—	28	2	no	—
1807	C₂×Q₈	—	28	4	no	—
1808	C₂×Q₈	—	28	2	no	—
1809	C₂×Q₈	—	28	4	no	—
1810	C₂×Q₈	C₂³×D₇	1	2	yes	—
1811	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1812	C₂×Q₈	C₂³×D₇	1	2	yes	—
1813	C₂×Q₈	C₂³×D₇	1	2	yes	—
1814	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1815	C₂×D₄	—	4	2	no	—
1816	C₂×D₄	—	4	4	no	—
1817	C₂×D₄	—	7	4	no	—
1818	C₂×D₄	—	7	4	no	—
1819	C₂×D₄	—	7	4	no	—
1820	C₂×D₄	—	7	4	no	—
1821	C₂×D₄	—	7	4	no	—
1822	C₂×D₄	—	7	4	no	—
1823	C₂×D₄	—	7	4	no	—
1824	C₂×D₄	—	7	4	no	—
1825	C₂×D₄	—	7	2	no	—
1826	C₂×D₄	—	7	2	no	—
1827	C₂×D₄	—	7	2	no	—
1828	C₂×D₄	—	7	4	no	—
1829	C₂×D₄	—	7	4	no	—
1830	C₂×D₄	—	7	2	no	—
1831	C₂×D₄	—	7	4	no	—
1832	C₂×D₄	—	7	4	no	—
1833	C₂×D₄	—	7	4	no	—
1834	C₂×D₄	—	7	2	no	—
1835	C₂×D₄	—	7	2	no	—
1836	C₂×D₄	—	7	1	no	—
1837	C₂×D₄	—	7	2	no	—
1838	C₂×D₄	—	7	4	no	—
1839	C₂×D₄	—	7	1	no	—
1840	C₂×D₄	—	14	16	no	—
1841	C₂×D₄	—	28	2	no	—
1842	C₂×D₄	—	28	4	no	—
1843	C₂×D₄	—	28	8	no	—
1844	C₂×D₄	—	28	8	no	—
1845	C₂×D₄	—	28	4	no	—
1846	C₂×D₄	—	28	2	no	—
1847	C₂×D₄	—	28	4	no	—
1848	C₂×D₄	—	28	2	no	—
1849	C₂×D₄	—	28	2	no	—
1850	C₂×D₄	—	28	4	no	—
1851	C₂×D₄	—	28	2	no	—
1852	C₂×D₄	—	28	8	no	—
1853	C₂×D₄	—	28	4	no	—
1854	C₂×D₄	—	28	4	no	—
1855	C₂×D₄	—	28	8	no	—
1856	C₂×D₄	—	28	8	no	—
1857	C₂×D₄	—	28	4	no	—
1858	C₂×D₄	—	28	4	no	—
1859	C₂×D₄	C₂³×D₇	1	4	yes	—
1860	C₂×D₄	C₂³×D₇	1	4	yes	—
1861	C₂×D₄	C₂³×D₇	1	4	yes	—
1862	C₂×D₄	C₂³×D₇	1	2	yes	—
1863	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1864	C₂×D₄	C₂³×D₇	1	2	yes	—
1865	C₂×D₄	C₂³×D₇	1	2	yes	—
1866	C₂×D₄	C₂³×D₇	1	4	yes	—
1867	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1868	C₂²×C₄	—	7	1	no	—
1869	C₂²×C₄	—	7	2	no	—
1870	C₂²×C₄	—	7	2	no	—
1871	C₂²×C₄	—	7	4	no	—
1872	C₂²×C₄	—	7	4	no	—
1873	C₂²×C₄	—	7	4	no	—
1874	C₂²×C₄	—	7	2	no	—
1875	C₂²×C₄	—	7	2	no	—
1876	C₂²×C₄	—	7	4	no	—
1877	C₂²×C₄	—	7	2	no	—
1878	C₂²×C₄	—	7	2	no	—
1879	C₂²×C₄	—	7	1	no	—
1880	C₂²×C₄	—	7	1	no	—
1881	C₂²×C₄	—	7	1	no	—
1882	C₂²×C₄	—	7	1	no	—
1883	C₂²×C₄	—	7	4	no	—
1884	C₂²×C₄	—	7	4	no	—
1885	C₂²×C₄	—	7	2	no	—
1886	C₂²×C₄	—	7	2	no	—
1887	C₂²×C₄	—	7	2	no	—
1888	C₂²×C₄	—	7	2	no	—
1889	C₂²×C₄	—	7	2	no	—
1890	C₂²×C₄	—	7	4	no	—
1891	C₂²×C₄	—	7	4	no	—
1892	C₂²×C₄	—	7	4	no	—
1893	C₂²×C₄	—	7	4	no	—
1894	C₂²×C₄	—	7	4	no	—
1895	C₂²×C₄	—	7	4	no	—
1896	C₂²×C₄	—	7	4	no	—
1897	C₂²×C₄	—	14	4	no	—
1898	C₂²×C₄	—	14	8	no	—
1899	C₂²×C₄	—	28	8	no	—
1900	C₂²×C₄	—	28	4	no	—
1901	C₂²×C₄	—	28	8	no	—
1902	C₂²×C₄	—	28	4	no	—
1903	C₂²×C₄	—	28	8	no	—
1904	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1905	C₂²×C₄	C₂³×D₇	1	2	yes	—
1906	C₂²×C₄	C₂³×D₇	1	2	yes	—
1907	C₂²×C₄	C₂³×D₇	1	4	yes	—
1908	C₂²×C₄	C₂³×D₇	1	4	yes	—
1909	C₂²×C₄	C₂³×D₇	1	4	yes	—
1910	C₂²×C₄	C₂³×D₇	1	2	yes	—
1911	C₄⋊C₄	—	7	4	no	—
1912	C₄⋊C₄	—	7	4	no	—
1913	C₄⋊C₄	—	7	4	no	—
1914	C₄⋊C₄	—	7	4	no	—
1915	C₄⋊C₄	—	7	4	no	—
1916	C₄⋊C₄	—	7	4	no	—
1917	C₄⋊C₄	—	7	4	no	—
1918	C₄⋊C₄	—	7	4	no	—
1919	C₄⋊C₄	—	7	4	no	—
1920	C₄⋊C₄	—	7	4	no	—
1921	C₄⋊C₄	—	7	4	no	—
1922	C₄⋊C₄	—	7	4	no	—
1923	C₄⋊C₄	—	7	4	no	—
1924	C₄⋊C₄	—	7	4	no	—
1925	C₄⋊C₄	—	7	4	no	—
1926	C₄⋊C₄	—	7	4	no	—
1927	C₄⋊C₄	—	7	4	no	—
1928	C₄⋊C₄	—	7	4	no	—
1929	C₄⋊C₄	—	7	4	no	—
1930	C₄⋊C₄	—	7	4	no	—
1931	C₄⋊C₄	—	7	4	no	—
1932	C₄⋊C₄	—	7	4	no	—
1933	C₄⋊C₄	—	7	2	no	—
1934	C₄⋊C₄	—	7	2	no	—
1935	C₄⋊C₄	—	7	4	no	—
1936	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1937	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1938	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1939	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1940	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1941	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1942	C₄⋊C₄	C₂³×D₇	1	2	yes	—
1943	C₄⋊C₄	C₂³×D₇	1	2	yes	—
1944	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1945	C₂²⋊C₄	—	7	4	no	—
1946	C₂²⋊C₄	—	7	4	no	—
1947	C₂²⋊C₄	—	7	4	no	—
1948	C₂²⋊C₄	—	7	4	no	—
1949	C₂²⋊C₄	—	7	4	no	—
1950	C₂²⋊C₄	—	7	4	no	—
1951	C₂²⋊C₄	—	7	2	no	—
1952	C₂²⋊C₄	—	7	2	no	—
1953	C₂²⋊C₄	—	7	4	no	—
1954	C₂²⋊C₄	—	7	4	no	—
1955	C₂²⋊C₄	—	7	4	no	—
1956	C₂²⋊C₄	—	7	4	no	—
1957	C₂²⋊C₄	—	7	4	no	—
1958	C₂²⋊C₄	—	7	4	no	—
1959	C₂²⋊C₄	—	7	4	no	—
1960	C₂²⋊C₄	—	7	4	no	—
1961	C₂²⋊C₄	—	7	4	no	—
1962	C₂²⋊C₄	—	7	4	no	—
1963	C₂²⋊C₄	—	7	4	no	—
1964	C₂²⋊C₄	—	7	4	no	—
1965	C₂²⋊C₄	—	7	4	no	—
1966	C₂²⋊C₄	—	7	4	no	—
1967	C₂²⋊C₄	—	7	4	no	—
1968	C₂²⋊C₄	—	7	4	no	—
1969	C₂²⋊C₄	—	7	4	no	—
1970	C₂²⋊C₄	—	7	4	no	—
1971	C₂²⋊C₄	—	7	4	no	—
1972	C₂²⋊C₄	—	7	4	no	—
1973	C₂²⋊C₄	—	7	4	no	—
1974	C₂²⋊C₄	—	7	4	no	—
1975	C₂²⋊C₄	—	7	4	no	—
1976	C₂²⋊C₄	—	7	4	no	—
1977	C₂²⋊C₄	—	7	4	no	—
1978	C₂²⋊C₄	—	7	4	no	—
1979	C₂²⋊C₄	—	7	4	no	—
1980	C₂²⋊C₄	—	7	4	no	—
1981	C₂²⋊C₄	—	7	4	no	—
1982	C₂²⋊C₄	—	7	4	no	—
1983	C₂²⋊C₄	—	7	4	no	—
1984	C₂²⋊C₄	—	7	4	no	—
1985	C₂²⋊C₄	—	7	4	no	—
1986	C₂²⋊C₄	—	7	4	no	—
1987	C₂²⋊C₄	—	7	4	no	—
1988	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1989	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1990	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1991	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1992	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1993	C₂²⋊C₄	C₂³×D₇	1	2	yes	—
1994	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1995	C₂²⋊C₄	C₂³×D₇	1	2	yes	—
1996	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1997	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1998	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1999	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
2000	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
2001	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
2002	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
2003	C₄²	—	7	1	no	—
2004	C₄²	—	7	2	no	—
2005	C₄²	—	7	2	no	—
2006	C₄²	—	7	2	no	—
2007	C₄²	—	7	2	no	—
2008	C₄²	—	7	1	no	—
2009	C₄²	—	7	2	no	—
2010	C₄²	—	7	2	no	—
2011	C₄²	—	7	4	no	—
2012	C₄²	—	7	4	no	—
2013	C₄²	—	7	4	no	—
2014	C₄²	—	7	4	no	—
2015	C₄²	—	7	4	no	—
2016	C₄²	—	7	2	no	—
2017	C₄²	C₂³×D₇	1	1	yes	characteristic
2018	C₄²	C₂³×D₇	1	2	yes	—
2019	C₄²	C₂³×D₇	1	1	yes	characteristic
2020	C₄²	C₂³×D₇	1	2	yes	—
2021	C₄²	C₂³×D₇	1	4	yes	—
2022	C₄²	C₂³×D₇	1	2	yes	—
2023	C₂×C₇	—	2	2	no	—
2024	C₂×C₇	—	4	2	no	—
2025	C₂×C₇	—	4	2	no	—
2026	C₂×C₇	—	4	4	no	—
2027	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2028	C₂×C₇	C₂×#585	1	2	yes	—
2029	D₇	—	2	2	no	—
2030	D₇	—	4	4	no	—
2031	D₇	—	4	2	no	—
2032	D₇	—	4	2	no	—
2033	D₇	#3545	1	4	yes	direct product factor
2034	C₂³	—	2	4	no	—
2035	C₂³	—	4	2	no	—
2036	C₂³	—	4	4	no	—
2037	C₂³	—	4	4	no	—
2038	C₂³	—	7	1	no	—
2039	C₂³	—	7	1	no	—
2040	C₂³	—	7	4	no	—
2041	C₂³	—	7	2	no	—
2042	C₂³	—	7	4	no	—
2043	C₂³	—	7	2	no	—
2044	C₂³	—	14	4	no	—
2045	C₂³	—	14	8	no	—
2046	C₂³	—	14	4	no	—
2047	C₂³	—	14	8	no	—
2048	C₂³	—	14	8	no	—
2049	C₂³	—	14	4	no	—
2050	C₂³	—	14	8	no	—
2051	C₂³	—	14	8	no	—
2052	C₂³	—	14	4	no	—
2053	C₂³	—	14	4	no	—
2054	C₂³	—	14	4	no	—
2055	C₂³	—	28	4	no	—
2056	C₂³	—	28	2	no	—
2057	C₂³	—	28	4	no	—
2058	C₂³	—	28	4	no	—
2059	C₂³	—	28	4	no	—
2060	C₂³	—	28	4	no	—
2061	C₂³	—	28	4	no	—
2062	C₂³	—	28	4	no	—
2063	C₂³	—	56	16	no	—
2064	C₂³	—	56	16	no	—
2065	C₂³	C₂⁴×D₇	1	2	yes	—
2066	C₂³	C₂⁴×D₇	1	4	yes	—
2067	C₂³	C₂⁴×D₇	1	2	yes	—
2068	C₂³	C₂⁴×D₇	1	1	yes	characteristic
2069	Q₈	—	4	1	no	—
2070	Q₈	—	4	2	no	—
2071	Q₈	—	4	1	no	—
2072	Q₈	—	4	2	no	—
2073	Q₈	—	4	2	no	—
2074	Q₈	—	28	2	no	—
2075	Q₈	—	28	4	no	—
2076	Q₈	—	28	2	no	—
2077	Q₈	—	28	2	no	—
2078	Q₈	—	28	1	no	—
2079	Q₈	—	28	2	no	—
2080	Q₈	—	28	1	no	—
2081	Q₈	—	28	2	no	—
2082	Q₈	—	28	2	no	—
2083	Q₈	—	28	2	no	—
2084	Q₈	—	28	4	no	—
2085	D₄	—	2	8	no	—
2086	D₄	—	4	1	no	—
2087	D₄	—	4	2	no	—
2088	D₄	—	4	1	no	—
2089	D₄	—	4	4	no	—
2090	D₄	—	4	4	no	—
2091	D₄	—	4	4	no	—
2092	D₄	—	4	2	no	—
2093	D₄	—	4	2	no	—
2094	D₄	—	14	8	no	—
2095	D₄	—	14	8	no	—
2096	D₄	—	14	8	no	—
2097	D₄	—	28	4	no	—
2098	D₄	—	28	4	no	—
2099	D₄	—	28	2	no	—
2100	D₄	—	28	1	no	—
2101	D₄	—	28	2	no	—
2102	D₄	—	28	1	no	—
2103	D₄	—	28	4	no	—
2104	D₄	—	28	2	no	—
2105	D₄	—	28	4	no	—
2106	D₄	—	28	4	no	—
2107	D₄	—	28	4	no	—
2108	D₄	—	28	4	no	—
2109	D₄	—	28	4	no	—
2110	D₄	—	28	2	no	—
2111	D₄	—	28	2	no	—
2112	D₄	—	28	2	no	—
2113	D₄	—	28	2	no	—
2114	D₄	—	28	4	no	—
2115	D₄	—	28	4	no	—
2116	D₄	—	28	4	no	—
2117	C₂×C₄	—	2	2	no	—
2118	C₂×C₄	—	2	4	no	—
2119	C₂×C₄	—	4	4	no	—
2120	C₂×C₄	—	4	2	no	—
2121	C₂×C₄	—	4	4	no	—
2122	C₂×C₄	—	4	2	no	—
2123	C₂×C₄	—	4	4	no	—
2124	C₂×C₄	—	7	2	no	—
2125	C₂×C₄	—	7	2	no	—
2126	C₂×C₄	—	7	4	no	—
2127	C₂×C₄	—	7	2	no	—
2128	C₂×C₄	—	7	1	no	—
2129	C₂×C₄	—	7	1	no	—
2130	C₂×C₄	—	7	4	no	—
2131	C₂×C₄	—	7	4	no	—
2132	C₂×C₄	—	7	2	no	—
2133	C₂×C₄	—	14	4	no	—
2134	C₂×C₄	—	14	2	no	—
2135	C₂×C₄	—	14	2	no	—
2136	C₂×C₄	—	14	2	no	—
2137	C₂×C₄	—	14	2	no	—
2138	C₂×C₄	—	14	4	no	—
2139	C₂×C₄	—	14	4	no	—
2140	C₂×C₄	—	14	4	no	—
2141	C₂×C₄	—	14	4	no	—
2142	C₂×C₄	—	14	8	no	—
2143	C₂×C₄	—	14	8	no	—
2144	C₂×C₄	—	14	8	no	—
2145	C₂×C₄	—	14	4	no	—
2146	C₂×C₄	—	14	2	no	—
2147	C₂×C₄	—	14	4	no	—
2148	C₂×C₄	—	28	4	no	—
2149	C₂×C₄	—	28	2	no	—
2150	C₂×C₄	—	28	4	no	—
2151	C₂×C₄	—	28	4	no	—
2152	C₂×C₄	—	28	2	no	—
2153	C₂×C₄	—	28	4	no	—
2154	C₂×C₄	—	28	4	no	—
2155	C₂×C₄	—	28	4	no	—
2156	C₂×C₄	—	28	4	no	—
2157	C₂×C₄	—	28	4	no	—
2158	C₂×C₄	—	28	2	no	—
2159	C₂×C₄	—	28	4	no	—
2160	C₂×C₄	—	28	2	no	—
2161	C₂×C₄	—	28	4	no	—
2162	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2163	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2164	C₂×C₄	C₂⁴×D₇	1	4	yes	—
2165	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2166	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
2167	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
2168	C₂×C₄	C₂⁴×D₇	1	4	yes	—
2169	C₂×C₄	C₂⁴×D₇	1	4	yes	—
2170	C₂×C₄	C₂⁴×D₇	1	2	yes	—
2171	C₇	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
2172	C₂²	—	2	2	no	—
2173	C₂²	—	2	4	no	—
2174	C₂²	—	2	2	no	—
2175	C₂²	—	2	2	no	—
2176	C₂²	—	2	4	no	—
2177	C₂²	—	2	4	no	—
2178	C₂²	—	2	4	no	—
2179	C₂²	—	2	4	no	—
2180	C₂²	—	7	2	no	—
2181	C₂²	—	7	4	no	—
2182	C₂²	—	7	2	no	—
2183	C₂²	—	8	4	no	—
2184	C₂²	—	8	4	no	—
2185	C₂²	—	14	8	no	—
2186	C₂²	—	14	2	no	—
2187	C₂²	—	14	4	no	—
2188	C₂²	—	14	2	no	—
2189	C₂²	—	14	2	no	—
2190	C₂²	—	14	4	no	—
2191	C₂²	—	14	4	no	—
2192	C₂²	—	14	4	no	—
2193	C₂²	—	14	4	no	—
2194	C₂²	—	28	8	no	—
2195	C₂²	—	28	16	no	—
2196	C₂²	—	28	8	no	—
2197	C₂²	—	56	4	no	—
2198	C₂²	—	56	4	no	—
2199	C₂²	—	56	4	no	—
2200	C₂²	—	56	4	no	—
2201	C₂²	—	56	8	no	—
2202	C₂²	D₇×H(5,𝔽₂)	1	2	yes	—
2203	C₂²	C₂⁵×D₇	1	1	yes	characteristic
2204	C₄	—	2	2	no	—
2205	C₄	—	2	1	no	—
2206	C₄	—	2	1	no	—
2207	C₄	—	2	2	no	—
2208	C₄	—	2	4	no	—
2209	C₄	—	2	2	no	—
2210	C₄	—	2	4	no	—
2211	C₄	—	2	2	no	—
2212	C₄	—	2	4	no	—
2213	C₄	—	14	2	no	—
2214	C₄	—	14	1	no	—
2215	C₄	—	14	1	no	—
2216	C₄	—	14	2	no	—
2217	C₄	—	14	4	no	—
2218	C₄	—	14	2	no	—
2219	C₄	—	14	4	no	—
2220	C₄	—	14	2	no	—
2221	C₄	—	14	4	no	—
2222	C₂	—	2	2	no	—
2223	C₂	—	4	2	no	—
2224	C₂	—	4	4	no	—
2225	C₂	—	4	2	no	—
2226	C₂	—	7	4	no	—
2227	C₂	—	14	2	no	—
2228	C₂	—	28	2	no	—
2229	C₂	—	28	4	no	—
2230	C₂	—	28	2	no	—
2231	C₂	C₂×D₇×H(5,𝔽₂)	1	1	yes	characteristic
2232	C₂	D₇×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇
commutator, socle, cosocle	C₂²×C₇	C₂⁶
Fitting	C₇×#3545	C₂
hypercenter	#3545	D₇
hypocenter	C₇	C₂×#3545
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #3545

Complements

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

N	H ≅ G/N	type
1. C₇×#3545	C₂	semidirect
2. #11744199	C₂	semidirect
3. D₇×#563	C₂	semidirect
4. #11744179	C₂	semidirect
5. D₇×#562	C₂	semidirect
6. #11744159	C₂	semidirect
7. D₇×H(3,𝔽₄)	C₂	semidirect
8. #11744044	C₂	semidirect
9. D₇×#555	C₂	semidirect
10. #11743890	C₂	semidirect
11. D₇×#551	C₂	semidirect
12. D₇×#551	C₂	semidirect
13. #11743874	C₂	semidirect
14. D₇×#546	C₂	semidirect
15. #11743720	C₂	semidirect
16. #11743633	C₂	semidirect
17. D₇×#542	C₂	semidirect
18. #11743491	C₂	semidirect
19. D₇×#538	C₂	semidirect
20. D₇×#536	C₂	semidirect
21. #11743415	C₂	semidirect
22. D₇×#534	C₂	semidirect
23. #11743372	C₂	semidirect
24. #11743241	C₂	semidirect
25. D₇×#529	C₂	semidirect
26. #11743147	C₂	semidirect
27. C₂×D₇×#124	C₂	semidirect
29. C₂²×Q₈×D₇	C₂²	semidirect
31. C₂²×D₄×D₇	C₂²	semidirect
32. C₇×#563	C₂²	semidirect
33. C₇×#562	C₂²	semidirect
34. C₇×H(3,𝔽₄)	C₂²	semidirect
35. C₇×#555	C₂²	semidirect
36. C₇×#551	C₂²	semidirect
37. C₇×#551	C₂²	semidirect
38. C₇×#546	C₂²	semidirect
39. C₇×#542	C₂²	semidirect
40. C₇×#538	C₂²	semidirect
41. C₇×#536	C₂²	semidirect
42. C₇×#534	C₂²	semidirect
43. C₇×#529	C₂²	semidirect
44. C₂×C₇×#124	C₂²	semidirect
45. #90520	C₂²	semidirect
46. #90516	C₂²	semidirect
47. #90507	C₂²	semidirect
48. C₂×#6510	C₂²	semidirect
49. #90497	C₂²	semidirect
50. #90495	C₂²	semidirect
51. #90495	C₂²	semidirect
52. C₂×#6499	C₂²	semidirect
53. #90426	C₂²	semidirect
54. #90425	C₂²	semidirect
55. #90424	C₂²	semidirect
56. #90415	C₂²	semidirect
57. #90415	C₂²	semidirect
58. D₇×C₄⋊Q₈	C₂²	semidirect
59. D₇×C₄⋊Q₈	C₂²	semidirect
60. #90403	C₂²	semidirect
61. #90401	C₂²	semidirect
62. #90401	C₂²	semidirect
63. #90397	C₂²	semidirect
64. #90396	C₂²	semidirect
65. #90396	C₂²	semidirect
66. #90396	C₂²	semidirect
67. #90395	C₂²	semidirect
68. #90395	C₂²	semidirect
69. D₇×#126	C₂²	semidirect
70. D₇×#126	C₂²	semidirect
71. D₇×#126	C₂²	semidirect
72. #90391	C₂²	semidirect
73. #90390	C₂²	semidirect
74. #90382	C₂²	semidirect
75. D₇×#125	C₂²	semidirect
76. #90375	C₂²	semidirect
77. #90375	C₂²	semidirect
78. #90374	C₂²	semidirect
79. #90374	C₂²	semidirect
80. #90374	C₂²	semidirect
81. #90374	C₂²	semidirect
82. #90373	C₂²	semidirect
83. #90371	C₂²	semidirect
84. #90370	C₂²	semidirect
85. #90370	C₂²	semidirect
86. #90369	C₂²	semidirect
87. #90369	C₂²	semidirect
88. #90367	C₂²	semidirect
89. #90366	C₂²	semidirect
90. #90366	C₂²	semidirect
93. D₇×#124	C₂²	semidirect
94. D₇×#124	C₂²	semidirect
95. D₇×#124	C₂²	semidirect
96. D₇×#124	C₂²	semidirect
97. D₇×#124	C₂²	semidirect
98. D₇×#124	C₂²	semidirect
99. D₇×#124	C₂²	semidirect
100. D₇×#124	C₂²	semidirect
101. D₇×#124	C₂²	semidirect
102. D₇×#124	C₂²	semidirect
103. D₇×#124	C₂²	semidirect
104. D₇×#124	C₂²	semidirect
105. D₇×#124	C₂²	semidirect
106. #90363	C₂²	semidirect
107. #90361	C₂²	semidirect
108. #90361	C₂²	semidirect
109. #90361	C₂²	semidirect
110. #90360	C₂²	semidirect
111. #90360	C₂²	semidirect
112. #90358	C₂²	semidirect
113. #90358	C₂²	semidirect
114. #90353	C₂²	semidirect
115. #90353	C₂²	semidirect
116. #90350	C₂²	semidirect
117. #90350	C₂²	semidirect
118. #90349	C₂²	semidirect
119. #90349	C₂²	semidirect
120. #90349	C₂²	semidirect
121. #90348	C₂²	semidirect
122. #90348	C₂²	semidirect
123. #90345	C₂²	semidirect
124. #90345	C₂²	semidirect
125. #90344	C₂²	semidirect
126. #90344	C₂²	semidirect
127. #90344	C₂²	semidirect
129. D₇×#123	C₂²	semidirect
130. D₇×#123	C₂²	semidirect
131. D₇×#123	C₂²	semidirect
132. D₇×#123	C₂²	semidirect
133. D₇×#123	C₂²	semidirect
134. D₇×#123	C₂²	semidirect
135. #90342	C₂²	semidirect
136. #90340	C₂²	semidirect
137. #90339	C₂²	semidirect
138. #90339	C₂²	semidirect
139. #90338	C₂²	semidirect
140. #90338	C₂²	semidirect
141. #90337	C₂²	semidirect
142. #90335	C₂²	semidirect
143. #90334	C₂²	semidirect
144. #90331	C₂²	semidirect
145. #90331	C₂²	semidirect
146. #90328	C₂²	semidirect
147. #90328	C₂²	semidirect
148. #90328	C₂²	semidirect
149. #90321	C₂²	semidirect
150. #90319	C₂²	semidirect
151. #90319	C₂²	semidirect
152. D₇×C₂²⋊Q₈	C₂²	semidirect
153. D₇×C₂²⋊Q₈	C₂²	semidirect
154. D₇×C₂²⋊Q₈	C₂²	semidirect
155. D₇×C₂²⋊Q₈	C₂²	semidirect
156. D₇×C₂²⋊Q₈	C₂²	semidirect
157. #90315	C₂²	semidirect
158. #90312	C₂²	semidirect
159. #90312	C₂²	semidirect
160. #90308	C₂²	semidirect
161. #90307	C₂²	semidirect
162. #90307	C₂²	semidirect
163. #90304	C₂²	semidirect
164. #90304	C₂²	semidirect
165. #90303	C₂²	semidirect
166. #90301	C₂²	semidirect
167. #90301	C₂²	semidirect
168. #90296	C₂²	semidirect
169. #90296	C₂²	semidirect
172. D₇×#121	C₂²	semidirect
173. D₇×#121	C₂²	semidirect
174. D₇×#121	C₂²	semidirect
175. #90294	C₂²	semidirect
176. #90291	C₂²	semidirect
177. #90285	C₂²	semidirect
178. #90285	C₂²	semidirect
179. #90284	C₂²	semidirect
180. #90284	C₂²	semidirect
181. #90282	C₂²	semidirect
182. #90282	C₂²	semidirect
183. #90280	C₂²	semidirect
184. #90280	C₂²	semidirect
185. #90280	C₂²	semidirect
188. D₇×#120	C₂²	semidirect
189. D₇×#120	C₂²	semidirect
190. #90278	C₂²	semidirect
191. #90278	C₂²	semidirect
192. #90273	C₂²	semidirect
193. #90271	C₂²	semidirect
194. C₄×Q₈×D₇	C₂²	semidirect
195. #90254	C₂²	semidirect
196. #90252	C₂²	semidirect
197. #90251	C₂²	semidirect
198. #90251	C₂²	semidirect
199. #90248	C₂²	semidirect
200. #90247	C₂²	semidirect
201. #90247	C₂²	semidirect
202. #90247	C₂²	semidirect
203. #90245	C₂²	semidirect
204. #90241	C₂²	semidirect
205. C₄×D₄×D₇	C₂²	semidirect
206. C₄×D₄×D₇	C₂²	semidirect
207. C₄×D₄×D₇	C₂²	semidirect
208. C₄×D₄×D₇	C₂²	semidirect
209. #90229	C₂²	semidirect
210. #90225	C₂²	semidirect
211. #90223	C₂²	semidirect
212. #90223	C₂²	semidirect
213. #90219	C₂²	semidirect
214. #90218	C₂²	semidirect
215. #90218	C₂²	semidirect
216. #90218	C₂²	semidirect
217. #90217	C₂²	semidirect
218. D₇×#117	C₂²	semidirect
219. D₇×#117	C₂²	semidirect
220. D₇×#117	C₂²	semidirect
221. #90186	C₂²	semidirect
222. #90186	C₂²	semidirect
223. #90186	C₂²	semidirect
224. #90185	C₂²	semidirect
225. #90184	C₂²	semidirect
226. C₂×#6448	C₂²	semidirect
227. #90181	C₂²	semidirect
228. #90181	C₂²	semidirect
229. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
230. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
231. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
232. #90170	C₂²	semidirect
233. C₂×#6438	C₂²	semidirect
234. C₂×C₄²×D₇	C₂²	semidirect
239. C₂²×C₇×Q₈	C₂³	semidirect
241. C₂²×C₇×D₄	C₂³	semidirect
243. C₂²×C₂²⋊D₇	C₂³	semidirect
244. C₂²×C₂²⋊D₇	C₂³	semidirect
253. C₂×Q₈×D₇	C₂³	semidirect
254. C₂×Q₈×D₇	C₂³	semidirect
255. C₂×Q₈×D₇	C₂³	semidirect
272. C₂×D₄×D₇	C₂³	semidirect
273. C₂×D₄×D₇	C₂³	semidirect
277. C₂²×D₂₈	C₂³	semidirect
285. C₂²×Dic₁₄	C₂³	semidirect
286. C₂²×Dic₁₄	C₂³	semidirect
287. C₇×C₄⋊Q₈	C₂³	semidirect
288. C₇×C₄⋊Q₈	C₂³	semidirect
289. C₇×#126	C₂³	semidirect
290. C₇×#126	C₂³	semidirect
291. C₇×#126	C₂³	semidirect
292. C₇×#125	C₂³	semidirect
295. C₇×#124	C₂³	semidirect
296. C₇×#124	C₂³	semidirect
297. C₇×#124	C₂³	semidirect
298. C₇×#124	C₂³	semidirect
299. C₇×#124	C₂³	semidirect
300. C₇×#124	C₂³	semidirect
301. C₇×#124	C₂³	semidirect
302. C₇×#124	C₂³	semidirect
304. C₇×#123	C₂³	semidirect
305. C₇×#123	C₂³	semidirect
306. C₇×#123	C₂³	semidirect
307. C₇×#123	C₂³	semidirect
308. C₇×#123	C₂³	semidirect
309. C₇×#123	C₂³	semidirect
310. C₇×C₂²⋊Q₈	C₂³	semidirect
311. C₇×C₂²⋊Q₈	C₂³	semidirect
312. C₇×C₂²⋊Q₈	C₂³	semidirect
313. C₇×C₂²⋊Q₈	C₂³	semidirect
314. C₇×C₂²⋊Q₈	C₂³	semidirect
317. C₇×#121	C₂³	semidirect
318. C₇×#121	C₂³	semidirect
319. C₇×#121	C₂³	semidirect
322. C₇×#120	C₂³	semidirect
323. C₇×#120	C₂³	semidirect
324. C₄×C₇×Q₈	C₂³	semidirect
325. C₄×C₇×D₄	C₂³	semidirect
326. C₄×C₇×D₄	C₂³	semidirect
327. C₄×C₇×D₄	C₂³	semidirect
328. C₄×C₇×D₄	C₂³	semidirect
329. C₇×#117	C₂³	semidirect
330. C₇×#117	C₂³	semidirect
331. C₇×#117	C₂³	semidirect
332. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
333. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
334. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
335. C₂×C₄²×C₇	C₂³	semidirect
338. #6516	C₂³	semidirect
339. #6516	C₂³	semidirect
340. C₂×C₂²⋊Dic₇	C₂³	semidirect
341. C₂×C₂²⋊Dic₇	C₂³	semidirect
342. C₂×C₂²⋊Dic₇	C₂³	semidirect
345. #6510	C₂³	semidirect
346. #6510	C₂³	semidirect
347. #6510	C₂³	semidirect
348. #6510	C₂³	semidirect
349. #6510	C₂³	semidirect
350. #6510	C₂³	semidirect
351. #6510	C₂³	semidirect
352. #6510	C₂³	semidirect
353. #6509	C₂³	semidirect
354. #6509	C₂³	semidirect
355. #6509	C₂³	semidirect
356. #6509	C₂³	semidirect
357. #6509	C₂³	semidirect
358. Q₈×Dic₇	C₂³	semidirect
359. #6507	C₂³	semidirect
360. #6507	C₂³	semidirect
361. #6507	C₂³	semidirect
362. #6507	C₂³	semidirect
366. #6502	C₂³	semidirect
367. #6502	C₂³	semidirect
368. #6502	C₂³	semidirect
369. #6502	C₂³	semidirect
370. #6502	C₂³	semidirect
371. #6502	C₂³	semidirect
374. #6501	C₂³	semidirect
375. #6501	C₂³	semidirect
376. #6501	C₂³	semidirect
382. #6500	C₂³	semidirect
383. #6500	C₂³	semidirect
384. #6500	C₂³	semidirect
385. #6500	C₂³	semidirect
386. #6500	C₂³	semidirect
389. #6499	C₂³	semidirect
390. #6499	C₂³	semidirect
391. #6499	C₂³	semidirect
392. #6499	C₂³	semidirect
393. #6499	C₂³	semidirect
394. #6499	C₂³	semidirect
395. #6499	C₂³	semidirect
396. #6499	C₂³	semidirect
398. #6498	C₂³	semidirect
399. #6498	C₂³	semidirect
400. #6498	C₂³	semidirect
401. #6498	C₂³	semidirect
402. #6498	C₂³	semidirect
403. #6498	C₂³	semidirect
404. D₄×Dic₇	C₂³	semidirect
405. D₄×Dic₇	C₂³	semidirect
406. D₄×Dic₇	C₂³	semidirect
407. D₄×Dic₇	C₂³	semidirect
410. #6493	C₂³	semidirect
411. #6493	C₂³	semidirect
412. #6493	C₂³	semidirect
414. #6492	C₂³	semidirect
415. #6492	C₂³	semidirect
416. #6492	C₂³	semidirect
417. #6492	C₂³	semidirect
418. #6492	C₂³	semidirect
419. #6492	C₂³	semidirect
420. C₄×C₂²⋊D₇	C₂³	semidirect
421. C₄×C₂²⋊D₇	C₂³	semidirect
422. C₄×C₂²⋊D₇	C₂³	semidirect
423. C₄×C₂²⋊D₇	C₂³	semidirect
424. C₄×C₂²⋊D₇	C₂³	semidirect
425. C₄×C₂²⋊D₇	C₂³	semidirect
426. C₄×C₂²⋊D₇	C₂³	semidirect
427. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
428. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
429. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
430. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
431. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
432. #6489	C₂³	semidirect
433. #6489	C₂³	semidirect
434. #6489	C₂³	semidirect
435. #6487	C₂³	semidirect
436. #6487	C₂³	semidirect
437. #6487	C₂³	semidirect
438. #6487	C₂³	semidirect
439. #6487	C₂³	semidirect
440. C₂×C₄×Dic₇	C₂³	semidirect
441. C₂×C₄×Dic₇	C₂³	semidirect
442. #6461	C₂³	semidirect
443. #6461	C₂³	semidirect
444. #6461	C₂³	semidirect
445. #6461	C₂³	semidirect
446. #6461	C₂³	semidirect
447. #6461	C₂³	semidirect
448. #6461	C₂³	semidirect
449. #6461	C₂³	semidirect
450. #6461	C₂³	semidirect
451. #6460	C₂³	semidirect
452. #6460	C₂³	semidirect
453. #6460	C₂³	semidirect
454. #6460	C₂³	semidirect
455. #6460	C₂³	semidirect
456. #6459	C₂³	semidirect
457. #6459	C₂³	semidirect
458. #6459	C₂³	semidirect
459. #6459	C₂³	semidirect
460. #6459	C₂³	semidirect
461. #6459	C₂³	semidirect
462. #6459	C₂³	semidirect
463. #6459	C₂³	semidirect
464. #6459	C₂³	semidirect
467. #6458	C₂³	semidirect
468. #6458	C₂³	semidirect
469. #6458	C₂³	semidirect
471. #6457	C₂³	semidirect
472. #6457	C₂³	semidirect
473. #6457	C₂³	semidirect
474. #6457	C₂³	semidirect
475. #6457	C₂³	semidirect
476. #6457	C₂³	semidirect
477. #6457	C₂³	semidirect
478. #6457	C₂³	semidirect
479. #6457	C₂³	semidirect
480. #6457	C₂³	semidirect
481. #6457	C₂³	semidirect
482. #6456	C₂³	semidirect
483. #6456	C₂³	semidirect
484. #6456	C₂³	semidirect
485. #6456	C₂³	semidirect
486. #6455	C₂³	semidirect
487. #6455	C₂³	semidirect
488. #6455	C₂³	semidirect
489. #6455	C₂³	semidirect
490. #6455	C₂³	semidirect
500. #6453	C₂³	semidirect
501. #6453	C₂³	semidirect
502. #6452	C₂³	semidirect
503. #6452	C₂³	semidirect
504. #6451	C₂³	semidirect
505. #6451	C₂³	semidirect
506. #6451	C₂³	semidirect
507. #6451	C₂³	semidirect
508. #6450	C₂³	semidirect
509. #6450	C₂³	semidirect
511. #6449	C₂³	semidirect
512. #6449	C₂³	semidirect
513. #6449	C₂³	semidirect
514. #6449	C₂³	semidirect
515. #6449	C₂³	semidirect
516. #6449	C₂³	semidirect
519. #6448	C₂³	semidirect
520. #6448	C₂³	semidirect
521. #6448	C₂³	semidirect
522. #6448	C₂³	semidirect
523. #6448	C₂³	semidirect
524. #6448	C₂³	semidirect
525. #6448	C₂³	semidirect
526. #6448	C₂³	semidirect
527. #6448	C₂³	semidirect
528. #6448	C₂³	semidirect
529. #6448	C₂³	semidirect
530. #6448	C₂³	semidirect
531. #6448	C₂³	semidirect
532. #6448	C₂³	semidirect
533. #6448	C₂³	semidirect
534. #6448	C₂³	semidirect
535. #6448	C₂³	semidirect
536. #6448	C₂³	semidirect
537. #6448	C₂³	semidirect
538. #6448	C₂³	semidirect
542. #6447	C₂³	semidirect
543. #6447	C₂³	semidirect
544. #6447	C₂³	semidirect
545. #6447	C₂³	semidirect
546. #6447	C₂³	semidirect
547. #6447	C₂³	semidirect
549. #6446	C₂³	semidirect
550. #6446	C₂³	semidirect
551. #6446	C₂³	semidirect
552. #6446	C₂³	semidirect
553. #6446	C₂³	semidirect
554. #6446	C₂³	semidirect
555. #6446	C₂³	semidirect
556. #6446	C₂³	semidirect
557. #6446	C₂³	semidirect
558. #6446	C₂³	semidirect
559. #6446	C₂³	semidirect
565. #6445	C₂³	semidirect
566. #6445	C₂³	semidirect
567. #6445	C₂³	semidirect
568. #6445	C₂³	semidirect
569. #6445	C₂³	semidirect
570. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
571. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
572. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
573. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
574. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
575. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
576. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
592. D₇×C₂²⋊C₄	C₂³	semidirect
593. D₇×C₂²⋊C₄	C₂³	semidirect
594. D₇×C₂²⋊C₄	C₂³	semidirect
595. D₇×C₂²⋊C₄	C₂³	semidirect
596. D₇×C₂²⋊C₄	C₂³	semidirect
597. D₇×C₂²⋊C₄	C₂³	semidirect
598. D₇×C₂²⋊C₄	C₂³	semidirect
599. D₇×C₂²⋊C₄	C₂³	semidirect
600. D₇×C₂²⋊C₄	C₂³	semidirect
601. D₇×C₂²⋊C₄	C₂³	semidirect
602. D₇×C₂²⋊C₄	C₂³	semidirect
603. #6442	C₂³	semidirect
604. #6442	C₂³	semidirect
605. #6442	C₂³	semidirect
606. #6442	C₂³	semidirect
607. #6442	C₂³	semidirect
608. #6442	C₂³	semidirect
609. #6442	C₂³	semidirect
610. #6442	C₂³	semidirect
611. #6442	C₂³	semidirect
612. #6441	C₂³	semidirect
613. #6441	C₂³	semidirect
614. #6441	C₂³	semidirect
615. #6441	C₂³	semidirect
616. #6441	C₂³	semidirect
617. #6441	C₂³	semidirect
618. #6441	C₂³	semidirect
619. #6441	C₂³	semidirect
620. #6441	C₂³	semidirect
621. #6440	C₂³	semidirect
622. #6440	C₂³	semidirect
623. #6440	C₂³	semidirect
624. #6440	C₂³	semidirect
625. #6440	C₂³	semidirect
626. #6439	C₂³	semidirect
627. #6439	C₂³	semidirect
628. #6439	C₂³	semidirect
631. #6438	C₂³	semidirect
632. #6438	C₂³	semidirect
633. #6438	C₂³	semidirect
634. #6438	C₂³	semidirect
635. #6438	C₂³	semidirect
636. #6438	C₂³	semidirect
637. #6438	C₂³	semidirect
638. #6438	C₂³	semidirect
639. C₄×D₂₈	C₂³	semidirect
640. C₄×D₂₈	C₂³	semidirect
641. C₄×D₂₈	C₂³	semidirect
642. C₄×D₂₈	C₂³	semidirect
643. #6435	C₂³	semidirect
644. #6435	C₂³	semidirect
645. #6435	C₂³	semidirect
646. #6435	C₂³	semidirect
647. #6435	C₂³	semidirect
648. #6435	C₂³	semidirect
655. C₄²×D₇	C₂³	semidirect
656. C₄²×D₇	C₂³	semidirect
657. C₄²×D₇	C₂³	semidirect
658. #6433	C₂³	semidirect
659. #6432	C₂³	semidirect
660. #6432	C₂³	semidirect
661. C₄×Dic₁₄	C₂³	semidirect
662. C₄×Dic₁₄	C₂³	semidirect
676. #3545	D₇	direct (N × H)
956. #563	C₂×D₇	semidirect
966. #562	C₂×D₇	semidirect
973. H(3,𝔽₄)	C₂×D₇	semidirect
983. #555	C₂×D₇	semidirect
1008. #551	C₂×D₇	semidirect
1009. #551	C₂×D₇	semidirect
1025. #546	C₂×D₇	semidirect
1041. #542	C₂×D₇	semidirect
1057. #538	C₂×D₇	semidirect
1069. #536	C₂×D₇	semidirect
1081. #534	C₂×D₇	semidirect
1095. #529	C₂×D₇	semidirect
1119. C₂×#124	C₂×D₇	semidirect
1310. C₂²×Q₈	C₂²×D₇	semidirect
1333. C₂²×D₄	C₂²×D₇	semidirect
1351. C₄⋊Q₈	C₂²×D₇	semidirect
1352. C₄⋊Q₈	C₂²×D₇	semidirect
1374. #126	C₂²×D₇	semidirect
1375. #126	C₂²×D₇	semidirect
1376. #126	C₂²×D₇	semidirect
1382. #125	C₂²×D₇	semidirect
1437. #124	C₂²×D₇	semidirect
1438. #124	C₂²×D₇	semidirect
1439. #124	C₂²×D₇	semidirect
1440. #124	C₂²×D₇	semidirect
1441. #124	C₂²×D₇	semidirect
1442. #124	C₂²×D₇	semidirect
1443. #124	C₂²×D₇	semidirect
1444. #124	C₂²×D₇	semidirect
1491. #123	C₂²×D₇	semidirect
1492. #123	C₂²×D₇	semidirect
1493. #123	C₂²×D₇	semidirect
1494. #123	C₂²×D₇	semidirect
1495. #123	C₂²×D₇	semidirect
1496. #123	C₂²×D₇	semidirect
1530. C₂²⋊Q₈	C₂²×D₇	semidirect
1531. C₂²⋊Q₈	C₂²×D₇	semidirect
1532. C₂²⋊Q₈	C₂²×D₇	semidirect
1533. C₂²⋊Q₈	C₂²×D₇	semidirect
1534. C₂²⋊Q₈	C₂²×D₇	semidirect
1570. #121	C₂²×D₇	semidirect
1571. #121	C₂²×D₇	semidirect
1572. #121	C₂²×D₇	semidirect
1599. #120	C₂²×D₇	semidirect
1600. #120	C₂²×D₇	semidirect
1606. C₄×Q₈	C₂²×D₇	semidirect
1633. C₄×D₄	C₂²×D₇	semidirect
1634. C₄×D₄	C₂²×D₇	semidirect
1635. C₄×D₄	C₂²×D₇	semidirect
1636. C₄×D₄	C₂²×D₇	semidirect
1656. #117	C₂²×D₇	semidirect
1657. #117	C₂²×D₇	semidirect
1658. #117	C₂²×D₇	semidirect
1702. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1703. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1704. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1716. C₂×C₄²	C₂²×D₇	semidirect
2033. D₇	#3545	direct (N × H)
2171. C₇	C₂×#3545	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₇×#3545	2
#11744199	2
D₇×#563	2
#11744179	2
D₇×#562	2
#11744159	2
D₇×H(3,𝔽₄)	2
#11744044	2
D₇×#555	2
#11743890	2
D₇×#551	2
#11743874	2
D₇×#546	2
#11743720	2
#11743633	2
D₇×#542	2
#11743491	2
D₇×#538	2
D₇×#536	2
#11743415	2
D₇×#534	2
#11743372	2
#11743241	2
D₇×#529	2
#11743147	2
C₂×D₇×#124	2
C₂×#3545	7

Subgroups — D7×#3545 #14261543

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₇×#3545 #14261543