Subgroups — C₂×#11743460 #14261887

Order 1792.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743460	C₂	1	32	yes	maximal, direct product factor
3	C₂×#90396	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#90393	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90401	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#90397	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#90368	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×D₇×#124	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#90361	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#90360	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#90349	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#90348	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#90355	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#90340	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#90328	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#90323	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#90301	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#90301	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#90304	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#90307	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#90289	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#90287	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#90282	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#90282	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#90281	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#90278	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#90251	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#90236	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#90229	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#1159	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#90177	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#6448	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂³×C₂²⋊D₇	C₂²	1	1	yes	characteristic
34	C₂³×C₂²⋊D₇	C₂²	1	1	yes	characteristic
35	C₂²×Q₈×D₇	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#1159	C₂²	1	1	yes	characteristic
37	C₂²×#1159	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#1159	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₇	C₂²	1	1	yes	characteristic
40	C₂²×D₄×D₇	C₂²	1	1	yes	characteristic
41	C₂³×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
42	C₇×#538	C₂²	1	16	yes	complemented
43	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₇×#120	C₂²	1	1	yes	characteristic
54	C₂×C₇×#120	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
59	C₂²×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
60	C₂×#6510	C₂²	1	1	yes	characteristic, complemented
61	C₂×#6509	C₂²	1	1	yes	characteristic, complemented
62	C₂×#6507	C₂²	1	1	yes	characteristic, complemented
63	C₂×#6503	C₂²	1	1	yes	characteristic
64	C₂×#6502	C₂²	1	1	yes	characteristic
65	C₂×#6502	C₂²	1	1	yes	characteristic
66	C₂×#6502	C₂²	1	1	yes	characteristic
67	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
68	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
69	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
70	C₂×#6502	C₂²	1	1	yes	characteristic, complemented
71	C₂×#6501	C₂²	1	1	yes	characteristic, complemented
72	C₂×#6501	C₂²	1	1	yes	characteristic, complemented
73	C₂×#6500	C₂²	1	1	yes	characteristic
74	C₂×#6500	C₂²	1	1	yes	characteristic, complemented
75	C₂×#6500	C₂²	1	1	yes	characteristic, complemented
76	C₂×#6500	C₂²	1	1	yes	characteristic, complemented
77	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
78	C₂×#6499	C₂²	1	1	yes	characteristic, complemented
79	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
80	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
81	C₂×#6498	C₂²	1	1	yes	characteristic, complemented
82	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
83	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
84	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
85	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
86	C₂×#6493	C₂²	1	1	yes	characteristic, complemented
87	C₂×#6492	C₂²	1	1	yes	characteristic, complemented
88	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
89	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
90	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
91	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
95	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
96	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
97	C₂²×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
98	C₂×#6489	C₂²	1	1	yes	characteristic, complemented
99	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
100	C₂²×C₄×Dic₇	C₂²	1	1	yes	characteristic, complemented
101	#90401	C₂²	1	16	yes	complemented
102	#90397	C₂²	1	16	yes	complemented
103	#90396	C₂²	1	16	yes	complemented
104	#90393	C₂²	1	16	yes	complemented
105	#90368	C₂²	1	16	yes	complemented
106	D₇×#124	C₂²	1	16	yes	complemented
107	#90361	C₂²	1	16	yes	complemented
108	#90360	C₂²	1	16	yes	complemented
109	#90355	C₂²	1	16	yes	complemented
110	#90349	C₂²	1	16	yes	complemented
111	#90348	C₂²	1	16	yes	complemented
112	#90340	C₂²	1	16	yes	complemented
113	#90328	C₂²	1	16	yes	complemented
114	#90323	C₂²	1	16	yes	complemented
115	#90307	C₂²	1	16	yes	complemented
116	#90304	C₂²	1	16	yes	complemented
117	#90301	C₂²	1	16	yes	complemented
118	#90301	C₂²	1	16	yes	complemented
119	#90289	C₂²	1	16	yes	complemented
120	#90287	C₂²	1	16	yes	complemented
121	#90282	C₂²	1	16	yes	complemented
122	#90282	C₂²	1	16	yes	complemented
123	#90281	C₂²	1	16	yes	complemented
124	#90278	C₂²	1	16	yes	complemented
125	#90251	C₂²	1	16	yes	complemented
126	#90236	C₂²	1	16	yes	complemented
127	#90229	C₂²	1	16	yes	complemented
128	C₄×#1159	C₂²	1	16	yes	complemented
129	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
130	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
131	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
132	C₂×#6461	C₂²	1	1	yes	characteristic, complemented
133	C₂×#6460	C₂²	1	1	yes	characteristic, complemented
134	C₂×#6460	C₂²	1	1	yes	characteristic, complemented
135	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
136	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
137	C₂×#6459	C₂²	1	1	yes	characteristic, complemented
138	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
139	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
140	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
141	C₂×#6457	C₂²	1	1	yes	characteristic, complemented
142	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
143	C₂×#6456	C₂²	1	1	yes	characteristic, complemented
144	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
145	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
146	C₂×#6455	C₂²	1	1	yes	characteristic, complemented
147	C₂×#6452	C₂²	1	1	yes	characteristic, complemented
148	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
149	C₂×#6451	C₂²	1	1	yes	characteristic, complemented
150	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
151	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
152	C₂×#6450	C₂²	1	1	yes	characteristic, complemented
153	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
154	C₂×#6449	C₂²	1	1	yes	characteristic, complemented
155	C₂×#6448	C₂²	1	1	yes	characteristic
156	C₂×#6448	C₂²	1	1	yes	characteristic
157	C₂×#6448	C₂²	1	1	yes	characteristic
158	C₂×#6448	C₂²	1	16	yes	complemented
159	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
160	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
161	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
162	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
163	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
164	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
165	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
166	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
167	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
168	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
169	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
170	C₂×#6448	C₂²	1	1	yes	characteristic, complemented
171	C₂×#6447	C₂²	1	1	yes	characteristic
172	C₂×#6447	C₂²	1	1	yes	characteristic
173	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
174	C₂×#6447	C₂²	1	1	yes	characteristic, complemented
175	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
176	C₂×#6446	C₂²	1	1	yes	characteristic, complemented
177	C₂×#6445	C₂²	1	1	yes	characteristic
178	C₂×#6445	C₂²	1	1	yes	characteristic
179	#90177	C₂²	1	16	yes	complemented
180	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
181	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
182	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
183	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
190	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
191	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
192	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
193	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
195	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
196	C₂×D₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
197	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
198	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
199	C₂×#6442	C₂²	1	1	yes	characteristic, complemented
200	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
201	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
202	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
204	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
205	C₂×#6441	C₂²	1	1	yes	characteristic, complemented
206	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
207	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
208	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
209	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
210	C₂×#6440	C₂²	1	1	yes	characteristic, complemented
211	C₂×#6439	C₂²	1	1	yes	characteristic, complemented
212	C₂×#6438	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
214	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
215	C₂×#6435	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3514	—	7	1	no	maximal, Sylow
220	C₂⁵×C₇	C₂³	1	1	yes	characteristic
221	C₂⁴×D₇	C₂³	1	1	yes	characteristic
222	C₂⁴×D₇	C₂³	1	1	yes	characteristic
223	C₂⁴×D₇	C₂³	1	1	yes	characteristic
224	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
230	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
231	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
232	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
233	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
234	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
235	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₇	—	2	8	no	—
237	C₂²×C₂²⋊D₇	—	4	4	no	—
238	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
239	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
240	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
241	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
242	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
243	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
244	C₂²×C₂²⋊D₇	C₂³	1	8	yes	—
245	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
246	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
248	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₇	C₂³	1	8	yes	—
253	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
254	C₂³×Dic₇	C₂³	1	1	yes	characteristic
255	C₂³×Dic₇	C₂³	1	1	yes	characteristic
256	C₂³×Dic₇	C₂³	1	1	yes	characteristic
257	C₂³×Dic₇	C₂³	1	1	yes	characteristic
258	C₂³×Dic₇	C₂³	1	1	yes	characteristic
259	C₂³×Dic₇	C₂³	1	1	yes	characteristic
260	C₂³×Dic₇	C₂³	1	1	yes	characteristic
261	C₂³×Dic₇	C₂³	1	1	yes	characteristic
262	C₂³×Dic₇	C₂³	1	1	yes	characteristic
263	C₂×Q₈×D₇	—	4	4	no	—
264	C₂×Q₈×D₇	C₂³	1	8	yes	complemented
265	C₂×#1159	—	2	8	no	—
266	C₂×#1159	—	4	4	no	—
267	C₂×#1159	—	4	4	no	—
268	C₂×#1159	C₂³	1	8	yes	—
269	C₂×#1159	C₂³	1	8	yes	complemented
270	C₂×#1159	C₂³	1	8	yes	complemented
271	C₂×D₄×D₇	—	2	8	no	—
272	C₂×D₄×D₇	—	4	4	no	—
273	C₂×D₄×D₇	C₂³	1	8	yes	—
274	C₂×D₄×D₇	C₂³	1	8	yes	—
275	C₂²×D₂₈	C₂³	1	1	yes	characteristic
276	C₂²×D₂₈	C₂³	1	1	yes	characteristic
277	C₂²×D₂₈	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
280	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
281	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
282	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
283	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
284	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
285	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
286	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
287	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
288	C₂²×Dic₁₄	—	4	4	no	—
289	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
290	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
291	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
292	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
293	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
294	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
295	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
296	C₂²×Dic₁₄	C₂³	1	8	yes	complemented
297	C₇×#126	C₂³	1	8	yes	complemented
298	C₇×#126	C₂³	1	8	yes	complemented
299	C₇×#124	C₂³	1	8	yes	complemented
300	C₇×#124	C₂³	1	8	yes	complemented
301	C₇×#123	C₂³	1	8	yes	complemented
302	C₇×#123	C₂³	1	8	yes	complemented
303	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
304	C₇×#121	C₂³	1	8	yes	complemented
305	C₇×#121	C₂³	1	8	yes	complemented
306	C₇×#121	C₂³	1	8	yes	complemented
307	C₇×#120	C₂³	1	8	yes	—
308	C₇×#120	C₂³	1	8	yes	complemented
309	C₄×C₇×D₄	C₂³	1	8	yes	complemented
310	C₄×C₇×D₄	C₂³	1	8	yes	complemented
311	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
332	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊Dic₇	C₂³	1	8	yes	complemented
349	C₂×C₂²⋊Dic₇	C₂³	1	8	yes	complemented
350	#6510	C₂³	1	8	yes	complemented
351	#6509	C₂³	1	8	yes	complemented
352	#6507	C₂³	1	8	yes	complemented
353	#6503	C₂³	1	8	yes	—
354	#6502	C₂³	1	8	yes	—
355	#6502	C₂³	1	8	yes	—
356	#6502	C₂³	1	8	yes	—
357	#6502	C₂³	1	8	yes	complemented
358	#6502	C₂³	1	8	yes	complemented
359	#6502	C₂³	1	8	yes	complemented
360	#6502	C₂³	1	8	yes	complemented
361	#6501	C₂³	1	8	yes	complemented
362	#6501	C₂³	1	8	yes	complemented
363	#6500	C₂³	1	8	yes	—
364	#6500	C₂³	1	8	yes	complemented
365	#6500	C₂³	1	8	yes	complemented
366	#6500	C₂³	1	8	yes	complemented
367	#6499	C₂³	1	8	yes	complemented
368	#6499	C₂³	1	8	yes	complemented
369	#6498	C₂³	1	8	yes	complemented
370	#6498	C₂³	1	8	yes	complemented
371	#6498	C₂³	1	8	yes	complemented
372	D₄×Dic₇	C₂³	1	8	yes	complemented
373	D₄×Dic₇	C₂³	1	8	yes	complemented
374	D₄×Dic₇	C₂³	1	8	yes	complemented
375	D₄×Dic₇	C₂³	1	8	yes	complemented
376	#6493	C₂³	1	8	yes	complemented
377	#6492	C₂³	1	8	yes	complemented
378	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
379	C₄×C₂²⋊D₇	C₂³	1	8	yes	—
380	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
381	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
382	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
383	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
384	C₄×C₂²⋊D₇	C₂³	1	8	yes	complemented
385	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
386	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
387	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
388	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
389	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
390	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
391	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
394	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
395	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
396	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
402	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
403	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
408	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
409	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
410	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
411	C₂×(C₂×D₇)⋊C₄	C₂³	1	8	yes	complemented
412	#6489	C₂³	1	8	yes	complemented
413	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
416	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
417	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
418	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
419	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
420	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
421	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
423	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
426	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
428	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
429	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
430	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
431	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
432	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
433	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
434	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
435	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
436	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
437	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
438	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
439	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
440	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
441	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
442	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
443	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
444	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
445	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
446	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
447	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
448	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
449	C₂×C₄×Dic₇	C₂³	1	8	yes	complemented
450	C₂×C₄×Dic₇	C₂³	1	8	yes	complemented
451	#6461	C₂³	1	8	yes	complemented
452	#6461	C₂³	1	8	yes	complemented
453	#6461	C₂³	1	8	yes	complemented
454	#6461	C₂³	1	8	yes	complemented
455	#6460	C₂³	1	8	yes	complemented
456	#6460	C₂³	1	8	yes	complemented
457	#6459	C₂³	1	8	yes	complemented
458	#6459	C₂³	1	8	yes	complemented
459	#6459	C₂³	1	8	yes	complemented
460	#6457	C₂³	1	8	yes	complemented
461	#6457	C₂³	1	8	yes	complemented
462	#6457	C₂³	1	8	yes	complemented
463	#6457	C₂³	1	8	yes	complemented
464	#6456	C₂³	1	8	yes	complemented
465	#6456	C₂³	1	8	yes	complemented
466	#6455	C₂³	1	8	yes	complemented
467	#6455	C₂³	1	8	yes	complemented
468	#6455	C₂³	1	8	yes	complemented
469	#6452	C₂³	1	8	yes	complemented
470	#6451	C₂³	1	8	yes	complemented
471	#6451	C₂³	1	8	yes	complemented
472	#6450	C₂³	1	8	yes	complemented
473	#6450	C₂³	1	8	yes	complemented
474	#6450	C₂³	1	8	yes	complemented
475	#6449	C₂³	1	8	yes	complemented
476	#6449	C₂³	1	8	yes	complemented
477	#6448	C₂³	1	8	yes	—
478	#6448	C₂³	1	8	yes	—
479	#6448	C₂³	1	8	yes	—
480	#6448	C₂³	1	8	yes	complemented
481	#6448	C₂³	1	8	yes	complemented
482	#6448	C₂³	1	8	yes	complemented
483	#6448	C₂³	1	8	yes	complemented
484	#6448	C₂³	1	8	yes	complemented
485	#6448	C₂³	1	8	yes	complemented
486	#6448	C₂³	1	8	yes	complemented
487	#6448	C₂³	1	8	yes	complemented
488	#6448	C₂³	1	8	yes	complemented
489	#6448	C₂³	1	8	yes	complemented
490	#6448	C₂³	1	8	yes	complemented
491	#6448	C₂³	1	8	yes	complemented
492	#6447	C₂³	1	8	yes	—
493	#6447	C₂³	1	8	yes	—
494	#6447	C₂³	1	8	yes	complemented
495	#6447	C₂³	1	8	yes	complemented
496	#6446	C₂³	1	8	yes	complemented
497	#6446	C₂³	1	8	yes	complemented
498	#6445	C₂³	1	8	yes	—
499	#6445	C₂³	1	8	yes	—
500	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
501	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
502	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	—
503	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
504	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
505	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
506	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
507	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
508	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
509	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
510	(C₂²⋊D₇)⋊C₄	C₂³	1	8	yes	complemented
511	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
512	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
513	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
514	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
515	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
516	D₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
517	#6442	C₂³	1	8	yes	complemented
518	#6442	C₂³	1	8	yes	complemented
519	#6442	C₂³	1	8	yes	complemented
520	#6441	C₂³	1	8	yes	complemented
521	#6441	C₂³	1	8	yes	complemented
522	#6441	C₂³	1	8	yes	complemented
523	#6441	C₂³	1	8	yes	complemented
524	#6441	C₂³	1	8	yes	complemented
525	#6441	C₂³	1	8	yes	complemented
526	#6440	C₂³	1	8	yes	complemented
527	#6440	C₂³	1	8	yes	complemented
528	#6440	C₂³	1	8	yes	complemented
529	#6440	C₂³	1	8	yes	complemented
530	#6440	C₂³	1	8	yes	complemented
531	#6439	C₂³	1	8	yes	complemented
532	#6438	C₂³	1	8	yes	complemented
533	C₄×D₂₈	C₂³	1	8	yes	complemented
534	#6435	C₂³	1	8	yes	complemented
535	#6435	C₂³	1	8	yes	complemented
536	C₄²×D₇	C₂³	1	8	yes	complemented
537	C₄×Dic₁₄	C₂³	1	8	yes	complemented
538	C₄×Dic₁₄	C₂³	1	8	yes	complemented
539	#3514	—	7	32	no	—
540	C₂×#559	—	7	1	no	—
541	C₂×#556	—	7	1	no	—
542	C₂×#555	—	7	1	no	—
543	C₂×#555	—	7	1	no	—
544	C₂×#551	—	7	1	no	—
545	C₂×#551	—	7	1	no	—
546	C₂×#551	—	7	1	no	—
547	C₂×#551	—	7	1	no	—
548	C₂×D₄×Q₈	—	7	1	no	—
549	C₂×#548	—	7	1	no	—
550	C₂×#548	—	7	1	no	—
551	C₂×#546	—	7	1	no	—
552	C₂×#546	—	7	1	no	—
553	C₂×#546	—	7	1	no	—
554	C₂×#546	—	7	1	no	—
555	C₂×D₄²	—	7	1	no	—
556	C₂×#542	—	7	1	no	—
557	C₂×#542	—	7	1	no	—
558	C₂×#538	—	7	1	no	—
559	C₂×#538	—	7	1	no	—
560	C₂×#538	—	7	1	no	—
561	C₂×#538	D₇	1	1	yes	characteristic, complemented
562	C₂×#532	—	7	1	no	—
563	C₂×#529	—	7	1	no	—
564	C₂×#529	—	7	1	no	—
565	C₂×#529	—	7	1	no	—
566	C₂²×#124	—	7	1	no	—
567	C₂²×#124	—	7	1	no	—
568	C₂×#518	—	7	1	no	—
569	C₂×#518	—	7	1	no	—
570	C₂×C₄×#41	—	7	1	no	—
571	C₂⁴×C₇	—	2	4	no	—
572	C₂⁴×C₇	—	4	2	no	—
573	C₂⁴×C₇	—	4	2	no	—
574	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
575	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
576	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
577	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
578	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
579	C₂⁴×C₇	C₂⁴	1	4	yes	—
580	C₂³×D₇	—	2	4	no	—
581	C₂³×D₇	—	2	4	no	—
582	C₂³×D₇	—	2	4	no	—
583	C₂³×D₇	—	4	2	no	—
584	C₂³×D₇	—	4	2	no	—
585	C₂³×D₇	—	4	2	no	—
586	C₂³×D₇	—	4	2	no	—
587	C₂³×D₇	—	4	2	no	—
588	C₂³×D₇	—	4	2	no	—
589	C₂³×D₇	C₂⁴	1	1	yes	characteristic
590	C₂³×D₇	C₂⁴	1	1	yes	characteristic
591	C₂³×D₇	C₂⁴	1	1	yes	characteristic
592	C₂³×D₇	C₂⁴	1	1	yes	characteristic
593	C₂³×D₇	C₂⁴	1	4	yes	—
594	C₂³×D₇	C₂⁴	1	4	yes	—
595	C₂³×D₇	C₂⁴	1	4	yes	—
596	C₂×C₇×Q₈	—	4	2	no	—
597	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
598	C₂×C₇×D₄	—	2	4	no	—
599	C₂×C₇×D₄	—	2	4	no	—
600	C₂×C₇×D₄	—	4	2	no	—
601	C₂×C₇×D₄	—	4	2	no	—
602	C₂×C₇×D₄	—	4	2	no	—
603	C₂×C₇×D₄	—	4	2	no	—
604	C₂×C₇×D₄	—	4	2	no	—
605	C₂×C₇×D₄	C₂⁴	1	4	yes	—
606	C₂×C₇×D₄	C₂⁴	1	4	yes	—
607	C₂×C₇×D₄	C₂⁴	1	4	yes	—
608	C₂×C₇×D₄	C₂⁴	1	4	yes	—
609	C₂×C₇×D₄	C₂⁴	1	4	yes	—
610	C₂×C₇×D₄	C₂⁴	1	4	yes	—
611	C₂×C₇×D₄	C₂⁴	1	4	yes	—
612	C₂²×C₄×C₇	—	4	2	no	—
613	C₂²×C₄×C₇	—	4	2	no	—
614	C₂²×C₄×C₇	—	4	2	no	—
615	C₂²×C₄×C₇	—	4	2	no	—
616	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
617	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
618	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
622	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
623	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
627	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
628	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
629	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
630	C₂×C₂²⋊D₇	—	2	4	no	—
631	C₂×C₂²⋊D₇	—	2	4	no	—
632	C₂×C₂²⋊D₇	—	2	4	no	—
633	C₂×C₂²⋊D₇	—	2	32	no	—
634	C₂×C₂²⋊D₇	—	2	4	no	—
635	C₂×C₂²⋊D₇	—	2	4	no	—
636	C₂×C₂²⋊D₇	—	2	4	no	—
637	C₂×C₂²⋊D₇	—	2	4	no	—
638	C₂×C₂²⋊D₇	—	2	4	no	—
639	C₂×C₂²⋊D₇	—	4	16	no	—
640	C₂×C₂²⋊D₇	—	4	2	no	—
641	C₂×C₂²⋊D₇	—	4	2	no	—
642	C₂×C₂²⋊D₇	—	4	2	no	—
643	C₂×C₂²⋊D₇	—	4	2	no	—
644	C₂×C₂²⋊D₇	—	4	2	no	—
645	C₂×C₂²⋊D₇	#41	1	8	yes	complemented
646	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
647	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
648	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
649	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
650	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
651	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
652	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
653	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
654	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
655	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
656	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
657	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
658	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
659	C₂×C₂²⋊D₇	C₂⁴	1	4	yes	—
660	C₂²×Dic₇	—	2	4	no	—
661	C₂²×Dic₇	—	2	4	no	—
662	C₂²×Dic₇	—	2	4	no	—
663	C₂²×Dic₇	—	2	4	no	—
664	C₂²×Dic₇	—	2	4	no	—
665	C₂²×Dic₇	—	4	2	no	—
666	C₂²×Dic₇	—	4	2	no	—
667	C₂²×Dic₇	—	4	2	no	—
668	C₂²×Dic₇	—	4	2	no	—
669	C₂²×Dic₇	C₂⁴	1	4	yes	—
670	C₂²×Dic₇	C₂⁴	1	4	yes	—
671	C₂²×Dic₇	C₂⁴	1	4	yes	—
672	C₂²×Dic₇	C₂⁴	1	4	yes	—
673	C₂²×Dic₇	C₂⁴	1	4	yes	—
674	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
675	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
676	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
677	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
678	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
679	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
680	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
681	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
682	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
683	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
684	C₂²×Dic₇	C₂⁴	1	4	yes	—
685	C₂²×Dic₇	C₂⁴	1	4	yes	—
686	C₂²×Dic₇	C₂⁴	1	4	yes	—
687	C₂²×Dic₇	C₂⁴	1	4	yes	—
688	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
689	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
690	Q₈×D₇	—	4	16	no	—
691	#1159	—	2	32	no	—
692	#1159	—	4	16	no	—
693	#1159	—	4	16	no	—
694	D₄×D₇	—	2	32	no	—
695	D₄×D₇	—	4	16	no	—
696	C₂×D₂₈	—	2	4	no	—
697	C₂×D₂₈	—	4	2	no	—
698	C₂×D₂₈	—	4	2	no	—
699	C₂×D₂₈	C₂⁴	1	4	yes	—
700	C₂×D₂₈	C₂⁴	1	4	yes	—
701	C₂×D₂₈	C₂⁴	1	4	yes	—
702	C₂×C₄×D₇	—	2	4	no	—
703	C₂×C₄×D₇	—	2	4	no	—
704	C₂×C₄×D₇	—	2	4	no	—
705	C₂×C₄×D₇	—	4	2	no	—
706	C₂×C₄×D₇	—	4	2	no	—
707	C₂×C₄×D₇	—	4	2	no	—
708	C₂×C₄×D₇	—	4	2	no	—
709	C₂×C₄×D₇	—	4	2	no	—
710	C₂×C₄×D₇	—	4	2	no	—
711	C₂×C₄×D₇	—	4	2	no	—
712	C₂×C₄×D₇	C₂⁴	1	4	yes	—
713	C₂×C₄×D₇	C₂⁴	1	4	yes	—
714	C₂×C₄×D₇	C₂⁴	1	4	yes	—
715	C₂×C₄×D₇	C₂⁴	1	4	yes	—
716	C₂×C₄×D₇	C₂⁴	1	4	yes	—
717	C₂×C₄×D₇	C₂⁴	1	4	yes	—
718	C₂×C₄×D₇	C₂⁴	1	4	yes	—
719	C₂×C₄×D₇	C₂⁴	1	4	yes	—
720	C₂×C₄×D₇	C₂⁴	1	4	yes	—
721	C₂×C₄×D₇	C₂⁴	1	4	yes	—
722	C₂×Dic₁₄	—	2	4	no	—
723	C₂×Dic₁₄	—	2	4	no	—
724	C₂×Dic₁₄	—	2	4	no	—
725	C₂×Dic₁₄	—	2	4	no	—
726	C₂×Dic₁₄	—	4	16	no	—
727	C₂×Dic₁₄	—	4	2	no	—
728	C₂×Dic₁₄	—	4	2	no	—
729	C₂×Dic₁₄	—	4	2	no	—
730	C₂×Dic₁₄	C₂⁴	1	4	yes	—
731	C₂×Dic₁₄	C₂⁴	1	4	yes	—
732	C₂×Dic₁₄	C₂⁴	1	4	yes	—
733	C₂×Dic₁₄	C₂⁴	1	4	yes	—
734	C₂×Dic₁₄	C₂⁴	1	4	yes	—
735	C₂×Dic₁₄	C₂⁴	1	4	yes	—
736	C₂×Dic₁₄	C₂⁴	1	4	yes	—
737	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
739	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
748	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
749	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
750	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
751	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
752	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
753	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
755	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
756	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
757	C₄²×C₇	C₂⁴	1	4	yes	—
758	C₄²×C₇	C₂⁴	1	4	yes	—
759	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
760	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
761	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
762	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
763	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
764	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
765	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
766	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
767	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
768	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
769	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
770	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
771	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
772	C₂²⋊Dic₇	C₂⁴	1	4	yes	—
773	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
774	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
775	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
776	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
777	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
778	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
779	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
780	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
781	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
782	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
783	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
784	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
785	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
786	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
787	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
788	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
789	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
790	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
791	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
792	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
793	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
794	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
795	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
796	(C₂×D₇)⋊C₄	C₂⁴	1	4	yes	—
797	C₄⋊Dic₇	C₂⁴	1	4	yes	—
798	C₄⋊Dic₇	C₂⁴	1	4	yes	—
799	C₄⋊Dic₇	C₂⁴	1	4	yes	—
800	C₄⋊Dic₇	C₂⁴	1	4	yes	—
801	C₄⋊Dic₇	C₂⁴	1	4	yes	—
802	C₄⋊Dic₇	C₂⁴	1	4	yes	—
803	Dic₇⋊C₄	C₂⁴	1	4	yes	—
804	Dic₇⋊C₄	C₂⁴	1	4	yes	—
805	Dic₇⋊C₄	C₂⁴	1	4	yes	—
806	Dic₇⋊C₄	C₂⁴	1	4	yes	—
807	Dic₇⋊C₄	C₂⁴	1	4	yes	—
808	Dic₇⋊C₄	C₂⁴	1	4	yes	—
809	Dic₇⋊C₄	C₂⁴	1	4	yes	—
810	Dic₇⋊C₄	C₂⁴	1	4	yes	—
811	Dic₇⋊C₄	C₂⁴	1	4	yes	—
812	Dic₇⋊C₄	C₂⁴	1	4	yes	—
813	Dic₇⋊C₄	C₂⁴	1	4	yes	—
814	Dic₇⋊C₄	C₂⁴	1	4	yes	—
815	Dic₇⋊C₄	C₂⁴	1	4	yes	—
816	Dic₇⋊C₄	C₂⁴	1	4	yes	—
817	Dic₇⋊C₄	C₂⁴	1	4	yes	—
818	Dic₇⋊C₄	C₂⁴	1	4	yes	—
819	C₄×Dic₇	C₂⁴	1	4	yes	—
820	C₄×Dic₇	C₂⁴	1	4	yes	—
821	C₄×Dic₇	C₂⁴	1	4	yes	—
822	C₄×Dic₇	C₂⁴	1	4	yes	—
823	C₄×Dic₇	C₂⁴	1	4	yes	—
824	C₄×Dic₇	C₂⁴	1	4	yes	—
825	C₄×Dic₇	C₂⁴	1	4	yes	—
826	C₄×Dic₇	C₂⁴	1	4	yes	—
827	C₄×Dic₇	C₂⁴	1	4	yes	—
828	C₄×Dic₇	C₂⁴	1	4	yes	—
829	C₄×Dic₇	C₂⁴	1	4	yes	—
830	C₄×Dic₇	C₂⁴	1	4	yes	—
831	C₄×Dic₇	C₂⁴	1	4	yes	—
832	C₄×Dic₇	C₂⁴	1	4	yes	—
833	C₂²×#41	—	7	1	no	—
834	C₂²×#41	—	7	1	no	—
835	C₂²×#41	—	7	1	no	—
836	C₂³×Q₈	—	7	1	no	—
837	C₂³×Q₈	—	7	1	no	—
838	C₂³×D₄	—	7	1	no	—
839	C₂³×D₄	—	7	1	no	—
840	C₂³×D₄	—	7	1	no	—
841	C₂³×D₄	—	7	1	no	—
842	#559	—	7	16	no	—
843	#556	—	7	16	no	—
844	#555	—	7	16	no	—
845	#555	—	7	16	no	—
846	#551	—	7	16	no	—
847	#551	—	7	16	no	—
848	#551	—	7	16	no	—
849	#551	—	7	16	no	—
850	D₄×Q₈	—	7	16	no	—
851	#548	—	7	16	no	—
852	#548	—	7	16	no	—
853	#546	—	7	16	no	—
854	#546	—	7	16	no	—
855	#546	—	7	16	no	—
856	#546	—	7	16	no	—
857	D₄²	—	7	16	no	—
858	#542	—	7	16	no	—
859	#542	—	7	16	no	—
860	#538	—	7	16	no	—
861	#538	—	7	16	no	—
862	#538	—	7	16	no	—
863	#538	C₂×D₇	1	16	yes	complemented
864	#532	—	7	16	no	—
865	C₂×C₄⋊Q₈	—	7	1	no	—
866	C₂×C₄⋊Q₈	—	7	1	no	—
867	C₂×C₄⋊Q₈	—	7	1	no	—
868	C₂×#127	—	7	1	no	—
869	#529	—	7	16	no	—
870	#529	—	7	16	no	—
871	#529	—	7	16	no	—
872	C₂×#126	—	7	1	no	—
873	C₂×#126	—	7	1	no	—
874	C₂×#126	—	7	1	no	—
875	C₂×#126	—	7	1	no	—
876	C₂×#126	—	7	1	no	—
877	C₂×#126	—	7	1	no	—
878	C₂×#126	—	7	1	no	—
879	C₂×#126	—	7	1	no	—
880	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
881	C₂×#126	C₂×D₇	1	1	yes	characteristic, complemented
882	C₂×#125	—	7	1	no	—
883	C₂×#124	—	7	1	no	—
884	C₂×#124	—	7	1	no	—
885	C₂×#124	—	7	1	no	—
886	C₂×#124	—	7	16	no	—
887	C₂×#124	—	7	1	no	—
888	C₂×#124	—	7	1	no	—
889	C₂×#124	—	7	1	no	—
890	C₂×#124	—	7	1	no	—
891	C₂×#124	—	7	1	no	—
892	C₂×#124	—	7	1	no	—
893	C₂×#124	—	7	1	no	—
894	C₂×#124	—	7	1	no	—
895	C₂×#124	—	7	1	no	—
896	C₂×#124	—	7	1	no	—
897	C₂×#124	—	7	1	no	—
898	C₂×#124	—	7	1	no	—
899	C₂×#124	—	7	1	no	—
900	C₂×#124	—	7	1	no	—
901	C₂×#124	—	7	1	no	—
902	C₂×#124	—	7	16	no	—
903	C₂×#124	—	7	1	no	—
904	C₂×#124	C₂×D₇	1	1	yes	characteristic, complemented
905	C₂×#124	C₂×D₇	1	1	yes	characteristic, complemented
906	C₂×#123	—	7	1	no	—
907	C₂×#123	—	7	1	no	—
908	C₂×#123	—	7	1	no	—
909	C₂×#123	—	7	1	no	—
910	C₂×#123	—	7	1	no	—
911	C₂×#123	—	7	1	no	—
912	C₂×#123	—	7	1	no	—
913	C₂×#123	—	7	1	no	—
914	C₂×#123	—	7	1	no	—
915	C₂×#123	—	7	1	no	—
916	C₂×#123	—	7	1	no	—
917	C₂×#123	—	7	1	no	—
918	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
919	C₂×#123	C₂×D₇	1	1	yes	characteristic, complemented
920	C₂×C₂²⋊Q₈	—	7	1	no	—
921	C₂×C₂²⋊Q₈	—	7	1	no	—
922	C₂×C₂²⋊Q₈	—	7	1	no	—
923	C₂×C₂²⋊Q₈	—	7	1	no	—
924	C₂×C₂²⋊Q₈	—	7	1	no	—
925	C₂×C₂²⋊Q₈	—	7	1	no	—
926	C₂×C₂²⋊Q₈	—	7	1	no	—
927	C₂×C₂²⋊Q₈	—	7	1	no	—
928	C₂×C₂²⋊Q₈	—	7	1	no	—
929	C₂×C₂²⋊Q₈	—	7	1	no	—
930	C₂×C₂²⋊Q₈	—	7	1	no	—
931	C₂×C₂²⋊Q₈	—	7	1	no	—
932	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
933	C₂×#121	—	7	1	no	—
934	C₂×#121	—	7	1	no	—
935	C₂×#121	—	7	1	no	—
936	C₂×#121	—	7	1	no	—
937	C₂×#121	—	7	1	no	—
938	C₂×#121	—	7	1	no	—
939	C₂×#121	—	7	1	no	—
940	C₂×#121	—	7	1	no	—
941	C₂×#121	—	7	1	no	—
942	C₂×#121	—	7	1	no	—
943	C₂×#121	—	7	1	no	—
944	C₂×#121	—	7	1	no	—
945	C₂×#121	—	7	1	no	—
946	C₂×#121	—	7	1	no	—
947	C₂×#121	C₂×D₇	1	1	yes	characteristic, complemented
948	C₂×#121	C₂×D₇	1	1	yes	characteristic, complemented
949	C₂×#121	C₂×D₇	1	1	yes	characteristic, complemented
950	C₂×#120	—	7	1	no	—
951	C₂×#120	—	7	1	no	—
952	C₂×#120	—	7	1	no	—
953	C₂×#120	—	7	1	no	—
954	C₂×#120	—	7	1	no	—
955	C₂×#120	—	7	1	no	—
956	C₂×#120	C₂×D₇	1	1	yes	characteristic
957	C₂×#120	C₂×D₇	1	1	yes	characteristic, complemented
958	#518	—	7	16	no	—
959	#518	—	7	16	no	—
960	C₄×#41	—	7	16	no	—
961	C₂×C₄×Q₈	—	7	1	no	—
962	C₂×C₄×Q₈	—	7	1	no	—
963	C₂×C₄×Q₈	—	7	1	no	—
964	C₂×C₄×Q₈	—	7	1	no	—
965	C₂×C₄×Q₈	—	7	1	no	—
966	C₂×C₄×D₄	—	7	1	no	—
967	C₂×C₄×D₄	—	7	1	no	—
968	C₂×C₄×D₄	—	7	1	no	—
969	C₂×C₄×D₄	—	7	1	no	—
970	C₂×C₄×D₄	—	7	1	no	—
971	C₂×C₄×D₄	—	7	1	no	—
972	C₂×C₄×D₄	—	7	1	no	—
973	C₂×C₄×D₄	—	7	1	no	—
974	C₂×C₄×D₄	—	7	1	no	—
975	C₂×C₄×D₄	—	7	1	no	—
976	C₂×C₄×D₄	—	7	1	no	—
977	C₂×C₄×D₄	—	7	1	no	—
978	C₂×C₄×D₄	—	7	1	no	—
979	C₂×C₄×D₄	—	7	1	no	—
980	C₂×C₄×D₄	—	7	1	no	—
981	C₂×C₄×D₄	—	7	1	no	—
982	C₂×C₄×D₄	—	7	1	no	—
983	C₂×C₄×D₄	—	7	1	no	—
984	C₂×C₄×D₄	—	7	1	no	—
985	C₂×C₄×D₄	—	7	1	no	—
986	C₂×C₄×D₄	—	7	1	no	—
987	C₂×C₄×D₄	—	7	1	no	—
988	C₂×C₄×D₄	—	7	1	no	—
989	C₂×C₄×D₄	—	7	1	no	—
990	C₂×C₄×D₄	—	7	1	no	—
991	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
992	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
993	C₂×#117	—	7	1	no	—
994	C₂×#117	—	7	1	no	—
995	C₂×#117	—	7	1	no	—
996	C₂×#117	—	7	1	no	—
997	C₂×#117	—	7	1	no	—
998	C₂×#117	—	7	1	no	—
999	C₂×#117	—	7	1	no	—
1000	C₂×#117	—	7	1	no	—
1001	C₂×#117	—	7	1	no	—
1002	C₂×#117	—	7	1	no	—
1003	C₂×#117	—	7	1	no	—
1004	C₂²×C₂²⋊C₄	—	7	1	no	—
1005	C₂²×C₂²⋊C₄	—	7	1	no	—
1006	C₂²×C₂²⋊C₄	—	7	1	no	—
1007	C₂²×C₂²⋊C₄	—	7	1	no	—
1008	C₂²×C₂²⋊C₄	—	7	1	no	—
1009	C₂²×C₂²⋊C₄	—	7	1	no	—
1010	C₂²×C₂²⋊C₄	—	7	1	no	—
1011	C₂²×C₂²⋊C₄	—	7	1	no	—
1012	C₂²×C₂²⋊C₄	—	7	1	no	—
1013	C₂²×C₂²⋊C₄	—	7	1	no	—
1014	C₂²×C₂²⋊C₄	—	7	1	no	—
1015	C₂²×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
1016	C₂²×C₄²	—	7	1	no	—
1017	C₂²×C₄²	—	7	1	no	—
1018	C₂²×C₄²	—	7	1	no	—
1019	C₂³×C₇	—	2	2	no	—
1020	C₂³×C₇	—	2	2	no	—
1021	C₂³×C₇	—	2	2	no	—
1022	C₂³×C₇	—	2	2	no	—
1023	C₂³×C₇	—	2	2	no	—
1024	C₂³×C₇	—	2	2	no	—
1025	C₂³×C₇	—	2	2	no	—
1026	C₂³×C₇	—	2	2	no	—
1027	C₂³×C₇	—	2	2	no	—
1028	C₂³×C₇	—	2	2	no	—
1029	C₂³×C₇	—	2	2	no	—
1030	C₂³×C₇	—	2	2	no	—
1031	C₂³×C₇	—	2	2	no	—
1032	C₂³×C₇	—	2	2	no	—
1033	C₂³×C₇	—	2	8	no	—
1034	C₂³×C₇	—	4	4	no	—
1035	C₂³×C₇	—	4	4	no	—
1036	C₂³×C₇	—	8	8	no	—
1037	C₂³×C₇	C₂×#41	1	4	yes	—
1038	C₂³×C₇	C₂⁵	1	2	yes	—
1039	C₂³×C₇	C₂⁵	1	2	yes	—
1040	C₂³×C₇	C₂⁵	1	2	yes	—
1041	C₂³×C₇	C₂⁵	1	2	yes	—
1042	C₂³×C₇	C₂⁵	1	2	yes	—
1043	C₂³×C₇	C₂⁵	1	1	yes	characteristic
1044	C₂²×D₇	—	2	2	no	—
1045	C₂²×D₇	—	2	2	no	—
1046	C₂²×D₇	—	2	2	no	—
1047	C₂²×D₇	—	2	2	no	—
1048	C₂²×D₇	—	2	2	no	—
1049	C₂²×D₇	—	2	2	no	—
1050	C₂²×D₇	—	2	2	no	—
1051	C₂²×D₇	—	2	2	no	—
1052	C₂²×D₇	—	2	2	no	—
1053	C₂²×D₇	—	2	2	no	—
1054	C₂²×D₇	—	2	2	no	—
1055	C₂²×D₇	—	2	8	no	—
1056	C₂²×D₇	—	2	8	no	—
1057	C₂²×D₇	—	2	8	no	—
1058	C₂²×D₇	—	4	4	no	—
1059	C₂²×D₇	—	4	4	no	—
1060	C₂²×D₇	—	4	4	no	—
1061	C₂²×D₇	—	4	4	no	—
1062	C₂²×D₇	—	4	4	no	—
1063	C₂²×D₇	—	4	4	no	—
1064	C₂²×D₇	—	8	8	no	—
1065	C₂²×D₇	—	8	8	no	—
1066	C₂²×D₇	—	8	8	no	—
1067	C₂²×D₇	C₂×#41	1	4	yes	—
1068	C₂²×D₇	C₂⁵	1	2	yes	—
1069	C₂²×D₇	C₂⁵	1	2	yes	—
1070	C₂²×D₇	C₂⁵	1	2	yes	—
1071	C₂²×D₇	C₂⁵	1	2	yes	—
1072	C₇×Q₈	—	4	4	no	—
1073	C₇×D₄	—	2	8	no	—
1074	C₇×D₄	—	2	8	no	—
1075	C₇×D₄	—	4	4	no	—
1076	C₇×D₄	—	4	4	no	—
1077	C₇×D₄	—	4	4	no	—
1078	C₇×D₄	—	4	4	no	—
1079	C₇×D₄	—	4	4	no	—
1080	C₂×C₄×C₇	—	2	2	no	—
1081	C₂×C₄×C₇	—	2	2	no	—
1082	C₂×C₄×C₇	—	2	2	no	—
1083	C₂×C₄×C₇	—	2	2	no	—
1084	C₂×C₄×C₇	—	2	2	no	—
1085	C₂×C₄×C₇	—	2	2	no	—
1086	C₂×C₄×C₇	—	2	2	no	—
1087	C₂×C₄×C₇	—	2	2	no	—
1088	C₂×C₄×C₇	—	2	2	no	—
1089	C₂×C₄×C₇	—	2	2	no	—
1090	C₂×C₄×C₇	—	4	4	no	—
1091	C₂×C₄×C₇	—	4	4	no	—
1092	C₂×C₄×C₇	—	4	4	no	—
1093	C₂×C₄×C₇	—	4	4	no	—
1094	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1095	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1096	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1097	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1098	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1099	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1100	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1101	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1102	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1103	C₂×C₄×C₇	C₂⁵	1	2	yes	—
1104	C₂²⋊D₇	—	2	8	no	—
1105	C₂²⋊D₇	—	2	8	no	—
1106	C₂²⋊D₇	—	2	8	no	—
1107	C₂²⋊D₇	—	2	8	no	—
1108	C₂²⋊D₇	—	2	8	no	—
1109	C₂²⋊D₇	—	2	8	no	—
1110	C₂²⋊D₇	—	2	8	no	—
1111	C₂²⋊D₇	—	2	8	no	—
1112	C₂²⋊D₇	—	4	4	no	—
1113	C₂²⋊D₇	—	4	4	no	—
1114	C₂²⋊D₇	—	4	4	no	—
1115	C₂²⋊D₇	—	4	4	no	—
1116	C₂²⋊D₇	—	4	4	no	—
1117	C₂²⋊D₇	C₂×#41	1	16	yes	complemented
1118	C₂×Dic₇	—	2	2	no	—
1119	C₂×Dic₇	—	2	2	no	—
1120	C₂×Dic₇	—	2	8	no	—
1121	C₂×Dic₇	—	2	2	no	—
1122	C₂×Dic₇	—	2	2	no	—
1123	C₂×Dic₇	—	2	2	no	—
1124	C₂×Dic₇	—	2	2	no	—
1125	C₂×Dic₇	—	2	2	no	—
1126	C₂×Dic₇	—	2	2	no	—
1127	C₂×Dic₇	—	2	2	no	—
1128	C₂×Dic₇	—	2	2	no	—
1129	C₂×Dic₇	—	2	8	no	—
1130	C₂×Dic₇	—	2	8	no	—
1131	C₂×Dic₇	—	2	8	no	—
1132	C₂×Dic₇	—	2	8	no	—
1133	C₂×Dic₇	—	4	4	no	—
1134	C₂×Dic₇	—	4	4	no	—
1135	C₂×Dic₇	—	4	4	no	—
1136	C₂×Dic₇	—	4	4	no	—
1137	C₂×Dic₇	C₂×#41	1	4	yes	—
1138	C₂×Dic₇	H(5,𝔽₂)	1	4	yes	—
1139	C₂×Dic₇	C₂⁵	1	2	yes	—
1140	C₂×Dic₇	C₂⁵	1	2	yes	—
1141	C₂×Dic₇	C₂⁵	1	2	yes	—
1142	C₂×Dic₇	C₂⁵	1	2	yes	—
1143	C₂×Dic₇	C₂⁵	1	2	yes	—
1144	C₂×Dic₇	C₂⁵	1	2	yes	—
1145	C₂×Dic₇	C₂⁵	1	2	yes	—
1146	C₂×Dic₇	C₂⁵	1	2	yes	—
1147	C₂×Dic₇	C₂⁵	1	2	yes	—
1148	C₂×Dic₇	C₂⁵	1	2	yes	—
1149	C₂×Dic₇	C₂⁵	1	2	yes	—
1150	C₂×Dic₇	C₂⁵	1	2	yes	—
1151	D₂₈	—	2	8	no	—
1152	D₂₈	—	4	4	no	—
1153	D₂₈	—	4	4	no	—
1154	C₄×D₇	—	2	8	no	—
1155	C₄×D₇	—	2	8	no	—
1156	C₄×D₇	—	2	8	no	—
1157	C₄×D₇	—	4	4	no	—
1158	C₄×D₇	—	4	4	no	—
1159	C₄×D₇	—	4	4	no	—
1160	C₄×D₇	—	4	4	no	—
1161	C₄×D₇	—	4	4	no	—
1162	C₄×D₇	—	4	4	no	—
1163	C₄×D₇	—	4	4	no	—
1164	Dic₁₄	—	2	8	no	—
1165	Dic₁₄	—	2	8	no	—
1166	Dic₁₄	—	2	8	no	—
1167	Dic₁₄	—	2	8	no	—
1168	Dic₁₄	—	4	4	no	—
1169	Dic₁₄	—	4	4	no	—
1170	Dic₁₄	—	4	4	no	—
1171	C₂⁵	—	7	1	no	—
1172	C₂⁵	—	7	1	no	—
1173	C₂⁵	—	7	1	no	—
1174	C₂⁵	C₂²×D₇	1	1	yes	characteristic
1175	C₂×#41	—	7	8	no	—
1176	C₂×#41	—	7	8	no	—
1177	C₂×#41	—	7	8	no	—
1178	C₂×#41	—	14	8	no	—
1179	C₂×#41	—	28	4	no	—
1180	C₂×#41	—	28	4	no	—
1181	C₂²×Q₈	—	7	8	no	—
1182	C₂²×Q₈	—	7	1	no	—
1183	C₂²×Q₈	—	7	1	no	—
1184	C₂²×Q₈	—	7	1	no	—
1185	C₂²×Q₈	—	7	1	no	—
1186	C₂²×Q₈	—	7	1	no	—
1187	C₂²×Q₈	—	7	1	no	—
1188	C₂²×Q₈	—	7	1	no	—
1189	C₂²×Q₈	—	7	8	no	—
1190	C₂²×Q₈	—	28	4	no	—
1191	C₂²×Q₈	—	28	4	no	—
1192	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1193	C₂²×D₄	—	7	1	no	—
1194	C₂²×D₄	—	7	1	no	—
1195	C₂²×D₄	—	7	1	no	—
1196	C₂²×D₄	—	7	1	no	—
1197	C₂²×D₄	—	7	1	no	—
1198	C₂²×D₄	—	7	1	no	—
1199	C₂²×D₄	—	7	1	no	—
1200	C₂²×D₄	—	7	1	no	—
1201	C₂²×D₄	—	7	1	no	—
1202	C₂²×D₄	—	7	8	no	—
1203	C₂²×D₄	—	7	1	no	—
1204	C₂²×D₄	—	7	1	no	—
1205	C₂²×D₄	—	7	1	no	—
1206	C₂²×D₄	—	7	1	no	—
1207	C₂²×D₄	—	7	1	no	—
1208	C₂²×D₄	—	7	8	no	—
1209	C₂²×D₄	—	7	8	no	—
1210	C₂²×D₄	—	7	8	no	—
1211	C₂²×D₄	—	7	1	no	—
1212	C₂²×D₄	—	7	1	no	—
1213	C₂²×D₄	—	7	1	no	—
1214	C₂²×D₄	—	14	8	no	—
1215	C₂²×D₄	—	14	8	no	—
1216	C₂²×D₄	—	28	4	no	—
1217	C₂²×D₄	—	28	4	no	—
1218	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1219	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1220	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1221	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1222	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1223	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1224	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1225	C₂³×C₄	—	7	1	no	—
1226	C₂³×C₄	—	7	1	no	—
1227	C₂³×C₄	—	7	1	no	—
1228	C₂³×C₄	—	7	1	no	—
1229	C₂³×C₄	—	7	1	no	—
1230	C₂³×C₄	—	7	1	no	—
1231	C₂³×C₄	—	7	1	no	—
1232	C₂³×C₄	—	7	1	no	—
1233	C₂³×C₄	—	7	1	no	—
1234	C₂³×C₄	—	7	1	no	—
1235	C₂³×C₄	—	7	1	no	—
1236	C₂³×C₄	—	7	1	no	—
1237	C₂³×C₄	—	7	1	no	—
1238	C₂³×C₄	—	7	1	no	—
1239	C₂³×C₄	—	7	1	no	—
1240	C₂³×C₄	—	7	1	no	—
1241	C₂³×C₄	—	7	1	no	—
1242	C₂³×C₄	—	7	1	no	—
1243	C₂³×C₄	—	7	1	no	—
1244	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1245	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1246	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1247	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1248	C₄⋊Q₈	—	7	8	no	—
1249	C₄⋊Q₈	—	7	8	no	—
1250	C₄⋊Q₈	—	7	8	no	—
1251	#127	—	7	8	no	—
1252	#126	—	7	8	no	—
1253	#126	—	7	8	no	—
1254	#126	—	7	8	no	—
1255	#126	—	7	8	no	—
1256	#126	—	7	8	no	—
1257	#126	—	7	8	no	—
1258	#126	—	7	8	no	—
1259	#126	—	7	8	no	—
1260	#126	C₂²×D₇	1	8	yes	complemented
1261	#126	C₂²×D₇	1	8	yes	complemented
1262	#125	—	7	8	no	—
1263	#124	—	7	8	no	—
1264	#124	—	7	8	no	—
1265	#124	—	7	8	no	—
1266	#124	—	7	8	no	—
1267	#124	—	7	8	no	—
1268	#124	—	7	8	no	—
1269	#124	—	7	8	no	—
1270	#124	—	7	8	no	—
1271	#124	—	7	8	no	—
1272	#124	—	7	8	no	—
1273	#124	—	7	8	no	—
1274	#124	—	7	8	no	—
1275	#124	—	7	8	no	—
1276	#124	—	7	8	no	—
1277	#124	—	7	8	no	—
1278	#124	—	7	8	no	—
1279	#124	—	7	8	no	—
1280	#124	—	7	8	no	—
1281	#124	—	7	8	no	—
1282	#124	C₂²×D₇	1	8	yes	complemented
1283	#124	C₂²×D₇	1	8	yes	complemented
1284	#123	—	7	8	no	—
1285	#123	—	7	8	no	—
1286	#123	—	7	8	no	—
1287	#123	—	7	8	no	—
1288	#123	—	7	8	no	—
1289	#123	—	7	8	no	—
1290	#123	—	7	8	no	—
1291	#123	—	7	8	no	—
1292	#123	—	7	8	no	—
1293	#123	—	7	8	no	—
1294	#123	—	7	8	no	—
1295	#123	—	7	8	no	—
1296	#123	C₂²×D₇	1	8	yes	complemented
1297	#123	C₂²×D₇	1	8	yes	complemented
1298	C₂²⋊Q₈	—	7	8	no	—
1299	C₂²⋊Q₈	—	7	8	no	—
1300	C₂²⋊Q₈	—	7	8	no	—
1301	C₂²⋊Q₈	—	7	8	no	—
1302	C₂²⋊Q₈	—	7	8	no	—
1303	C₂²⋊Q₈	—	7	8	no	—
1304	C₂²⋊Q₈	—	7	8	no	—
1305	C₂²⋊Q₈	—	7	8	no	—
1306	C₂²⋊Q₈	—	7	8	no	—
1307	C₂²⋊Q₈	—	7	8	no	—
1308	C₂²⋊Q₈	—	7	8	no	—
1309	C₂²⋊Q₈	—	7	8	no	—
1310	C₂²⋊Q₈	C₂²×D₇	1	8	yes	complemented
1311	#121	—	7	8	no	—
1312	#121	—	7	8	no	—
1313	#121	—	7	8	no	—
1314	#121	—	7	8	no	—
1315	#121	—	7	8	no	—
1316	#121	—	7	8	no	—
1317	#121	—	7	8	no	—
1318	#121	—	7	8	no	—
1319	#121	—	7	8	no	—
1320	#121	—	7	8	no	—
1321	#121	—	7	8	no	—
1322	#121	—	7	8	no	—
1323	#121	—	7	8	no	—
1324	#121	—	7	8	no	—
1325	#121	C₂²×D₇	1	8	yes	complemented
1326	#121	C₂²×D₇	1	8	yes	complemented
1327	#121	C₂²×D₇	1	8	yes	complemented
1328	#120	—	7	8	no	—
1329	#120	—	7	8	no	—
1330	#120	—	7	8	no	—
1331	#120	—	7	8	no	—
1332	#120	—	7	8	no	—
1333	#120	—	7	8	no	—
1334	#120	C₂²×D₇	1	8	yes	—
1335	#120	C₂²×D₇	1	8	yes	complemented
1336	C₄×Q₈	—	7	8	no	—
1337	C₄×Q₈	—	7	8	no	—
1338	C₄×Q₈	—	7	8	no	—
1339	C₄×Q₈	—	7	8	no	—
1340	C₄×Q₈	—	7	8	no	—
1341	C₄×D₄	—	7	8	no	—
1342	C₄×D₄	—	7	8	no	—
1343	C₄×D₄	—	7	8	no	—
1344	C₄×D₄	—	7	8	no	—
1345	C₄×D₄	—	7	8	no	—
1346	C₄×D₄	—	7	8	no	—
1347	C₄×D₄	—	7	8	no	—
1348	C₄×D₄	—	7	8	no	—
1349	C₄×D₄	—	7	8	no	—
1350	C₄×D₄	—	7	8	no	—
1351	C₄×D₄	—	7	8	no	—
1352	C₄×D₄	—	7	8	no	—
1353	C₄×D₄	—	7	8	no	—
1354	C₄×D₄	—	7	8	no	—
1355	C₄×D₄	—	7	8	no	—
1356	C₄×D₄	—	7	8	no	—
1357	C₄×D₄	—	7	8	no	—
1358	C₄×D₄	—	7	8	no	—
1359	C₄×D₄	—	7	8	no	—
1360	C₄×D₄	—	7	8	no	—
1361	C₄×D₄	—	7	8	no	—
1362	C₄×D₄	—	7	8	no	—
1363	C₄×D₄	—	7	8	no	—
1364	C₄×D₄	—	7	8	no	—
1365	C₄×D₄	—	7	8	no	—
1366	C₄×D₄	C₂²×D₇	1	8	yes	complemented
1367	C₄×D₄	C₂²×D₇	1	8	yes	complemented
1368	#117	—	7	8	no	—
1369	#117	—	7	8	no	—
1370	#117	—	7	8	no	—
1371	#117	—	7	8	no	—
1372	#117	—	7	8	no	—
1373	#117	—	7	8	no	—
1374	#117	—	7	8	no	—
1375	#117	—	7	8	no	—
1376	#117	—	7	8	no	—
1377	#117	—	7	8	no	—
1378	#117	—	7	8	no	—
1379	C₂×C₄⋊C₄	—	7	1	no	—
1380	C₂×C₄⋊C₄	—	7	1	no	—
1381	C₂×C₄⋊C₄	—	7	1	no	—
1382	C₂×C₄⋊C₄	—	7	1	no	—
1383	C₂×C₄⋊C₄	—	7	1	no	—
1384	C₂×C₄⋊C₄	—	7	1	no	—
1385	C₂×C₄⋊C₄	—	7	1	no	—
1386	C₂×C₄⋊C₄	—	7	1	no	—
1387	C₂×C₄⋊C₄	—	7	1	no	—
1388	C₂×C₄⋊C₄	—	7	1	no	—
1389	C₂×C₄⋊C₄	—	7	1	no	—
1390	C₂×C₄⋊C₄	—	7	1	no	—
1391	C₂×C₄⋊C₄	—	7	1	no	—
1392	C₂×C₄⋊C₄	—	7	1	no	—
1393	C₂×C₄⋊C₄	—	7	1	no	—
1394	C₂×C₄⋊C₄	—	7	1	no	—
1395	C₂×C₄⋊C₄	—	7	1	no	—
1396	C₂×C₄⋊C₄	—	7	1	no	—
1397	C₂×C₄⋊C₄	—	7	1	no	—
1398	C₂×C₄⋊C₄	—	7	1	no	—
1399	C₂×C₄⋊C₄	—	7	1	no	—
1400	C₂×C₄⋊C₄	—	7	1	no	—
1401	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1402	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1403	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1404	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1405	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1406	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1407	C₂×C₂²⋊C₄	—	7	1	no	—
1408	C₂×C₂²⋊C₄	—	7	1	no	—
1409	C₂×C₂²⋊C₄	—	7	1	no	—
1410	C₂×C₂²⋊C₄	—	7	1	no	—
1411	C₂×C₂²⋊C₄	—	7	1	no	—
1412	C₂×C₂²⋊C₄	—	7	1	no	—
1413	C₂×C₂²⋊C₄	—	7	1	no	—
1414	C₂×C₂²⋊C₄	—	7	1	no	—
1415	C₂×C₂²⋊C₄	—	7	8	no	—
1416	C₂×C₂²⋊C₄	—	7	1	no	—
1417	C₂×C₂²⋊C₄	—	7	1	no	—
1418	C₂×C₂²⋊C₄	—	7	8	no	—
1419	C₂×C₂²⋊C₄	—	7	1	no	—
1420	C₂×C₂²⋊C₄	—	7	1	no	—
1421	C₂×C₂²⋊C₄	—	7	1	no	—
1422	C₂×C₂²⋊C₄	—	7	1	no	—
1423	C₂×C₂²⋊C₄	—	7	1	no	—
1424	C₂×C₂²⋊C₄	—	7	1	no	—
1425	C₂×C₂²⋊C₄	—	7	1	no	—
1426	C₂×C₂²⋊C₄	—	7	1	no	—
1427	C₂×C₂²⋊C₄	—	7	1	no	—
1428	C₂×C₂²⋊C₄	—	7	1	no	—
1429	C₂×C₂²⋊C₄	—	7	1	no	—
1430	C₂×C₂²⋊C₄	—	7	1	no	—
1431	C₂×C₂²⋊C₄	—	7	1	no	—
1432	C₂×C₂²⋊C₄	—	7	1	no	—
1433	C₂×C₂²⋊C₄	—	7	1	no	—
1434	C₂×C₂²⋊C₄	—	7	1	no	—
1435	C₂×C₂²⋊C₄	—	7	1	no	—
1436	C₂×C₂²⋊C₄	—	7	1	no	—
1437	C₂×C₂²⋊C₄	—	7	8	no	—
1438	C₂×C₂²⋊C₄	—	7	8	no	—
1439	C₂×C₂²⋊C₄	—	7	1	no	—
1440	C₂×C₂²⋊C₄	—	7	1	no	—
1441	C₂×C₂²⋊C₄	—	7	1	no	—
1442	C₂×C₂²⋊C₄	—	7	1	no	—
1443	C₂×C₂²⋊C₄	—	7	8	no	—
1444	C₂×C₂²⋊C₄	—	7	1	no	—
1445	C₂×C₂²⋊C₄	—	7	1	no	—
1446	C₂×C₂²⋊C₄	—	7	1	no	—
1447	C₂×C₂²⋊C₄	—	7	1	no	—
1448	C₂×C₂²⋊C₄	—	7	1	no	—
1449	C₂×C₂²⋊C₄	—	7	1	no	—
1450	C₂×C₂²⋊C₄	—	7	8	no	—
1451	C₂×C₂²⋊C₄	—	7	8	no	—
1452	C₂×C₂²⋊C₄	—	7	8	no	—
1453	C₂×C₂²⋊C₄	—	7	8	no	—
1454	C₂×C₂²⋊C₄	—	7	8	no	—
1455	C₂×C₂²⋊C₄	—	7	8	no	—
1456	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1457	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1458	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1459	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1460	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1461	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1462	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1463	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1464	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1465	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1466	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1467	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1468	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1469	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
1470	C₂×C₂²⋊C₄	C₂²×D₇	1	8	yes	complemented
1471	C₂×C₄²	—	7	1	no	—
1472	C₂×C₄²	—	7	1	no	—
1473	C₂×C₄²	—	7	1	no	—
1474	C₂×C₄²	—	7	1	no	—
1475	C₂×C₄²	—	7	1	no	—
1476	C₂×C₄²	—	7	1	no	—
1477	C₂×C₄²	—	7	1	no	—
1478	C₂×C₄²	—	7	1	no	—
1479	C₂×C₄²	—	7	1	no	—
1480	C₂×C₄²	—	7	1	no	—
1481	C₂×C₄²	—	7	1	no	—
1482	C₂×C₄²	—	7	1	no	—
1483	C₂×C₄²	—	7	1	no	—
1484	C₂×C₄²	—	7	8	no	—
1485	C₂×C₄²	—	7	8	no	—
1486	C₂×C₄²	—	7	1	no	—
1487	C₂×C₄²	—	7	8	no	—
1488	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1489	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1490	C₂²×C₇	—	2	2	no	—
1491	C₂²×C₇	—	2	2	no	—
1492	C₂²×C₇	—	2	8	no	—
1493	C₂²×C₇	—	2	2	no	—
1494	C₂²×C₇	—	2	2	no	—
1495	C₂²×C₇	—	2	2	no	—
1496	C₂²×C₇	—	2	2	no	—
1497	C₂²×C₇	—	2	2	no	—
1498	C₂²×C₇	—	2	2	no	—
1499	C₂²×C₇	—	2	2	no	—
1500	C₂²×C₇	—	2	2	no	—
1501	C₂²×C₇	—	2	2	no	—
1502	C₂²×C₇	—	2	2	no	—
1503	C₂²×C₇	—	2	2	no	—
1504	C₂²×C₇	—	2	2	no	—
1505	C₂²×C₇	—	4	4	no	—
1506	C₂²×C₇	—	4	4	no	—
1507	C₂²×C₇	—	4	4	no	—
1508	C₂²×C₇	—	4	4	no	—
1509	C₂²×C₇	—	8	8	no	—
1510	C₂²×C₇	C₂²×#41	1	4	yes	—
1511	C₂²×C₇	C₂²×#41	1	2	yes	—
1512	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1513	C₂²×C₇	#585	1	2	yes	—
1514	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1515	C₂×D₇	—	2	2	no	—
1516	C₂×D₇	—	2	2	no	—
1517	C₂×D₇	—	2	8	no	—
1518	C₂×D₇	—	2	2	no	—
1519	C₂×D₇	—	2	2	no	—
1520	C₂×D₇	—	2	2	no	—
1521	C₂×D₇	—	2	2	no	—
1522	C₂×D₇	—	2	2	no	—
1523	C₂×D₇	—	2	2	no	—
1524	C₂×D₇	—	2	2	no	—
1525	C₂×D₇	—	2	2	no	—
1526	C₂×D₇	—	2	2	no	—
1527	C₂×D₇	—	4	4	no	—
1528	C₂×D₇	—	4	4	no	—
1529	C₂×D₇	—	4	4	no	—
1530	C₂×D₇	—	8	8	no	—
1531	C₂×D₇	—	8	8	no	—
1532	C₂×D₇	—	8	8	no	—
1533	C₂×D₇	C₂²×#41	1	4	yes	—
1534	C₄×C₇	—	2	2	no	—
1535	C₄×C₇	—	2	2	no	—
1536	C₄×C₇	—	2	2	no	—
1537	C₄×C₇	—	2	2	no	—
1538	C₄×C₇	—	2	2	no	—
1539	C₄×C₇	—	2	2	no	—
1540	C₄×C₇	—	2	2	no	—
1541	C₄×C₇	—	2	2	no	—
1542	C₄×C₇	—	2	2	no	—
1543	C₄×C₇	—	2	2	no	—
1544	Dic₇	—	2	2	no	—
1545	Dic₇	—	2	2	no	—
1546	Dic₇	—	2	2	no	—
1547	Dic₇	—	2	2	no	—
1548	Dic₇	—	2	2	no	—
1549	Dic₇	—	2	2	no	—
1550	Dic₇	—	2	2	no	—
1551	Dic₇	—	2	2	no	—
1552	Dic₇	—	2	2	no	—
1553	Dic₇	—	2	2	no	—
1554	Dic₇	C₂²×#41	1	4	yes	—
1555	Dic₇	C₂×H(5,𝔽₂)	1	4	yes	—
1556	C₂⁴	—	2	4	no	—
1557	C₂⁴	—	4	2	no	—
1558	C₂⁴	—	4	2	no	—
1559	C₂⁴	—	7	1	no	—
1560	C₂⁴	—	7	1	no	—
1561	C₂⁴	—	7	1	no	—
1562	C₂⁴	—	7	1	no	—
1563	C₂⁴	—	7	4	no	—
1564	C₂⁴	—	7	4	no	—
1565	C₂⁴	—	7	4	no	—
1566	C₂⁴	—	14	4	no	—
1567	C₂⁴	—	14	4	no	—
1568	C₂⁴	—	14	4	no	—
1569	C₂⁴	—	28	2	no	—
1570	C₂⁴	—	28	2	no	—
1571	C₂⁴	—	28	2	no	—
1572	C₂⁴	—	28	2	no	—
1573	C₂⁴	—	28	2	no	—
1574	C₂⁴	—	28	2	no	—
1575	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1576	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1577	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1578	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1579	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1580	C₂⁴	C₂³×D₇	1	4	yes	—
1581	#41	—	14	32	no	—
1582	#41	—	28	16	no	—
1583	#41	—	28	16	no	—
1584	C₂×Q₈	—	4	2	no	—
1585	C₂×Q₈	—	7	4	no	—
1586	C₂×Q₈	—	7	4	no	—
1587	C₂×Q₈	—	7	4	no	—
1588	C₂×Q₈	—	7	4	no	—
1589	C₂×Q₈	—	7	4	no	—
1590	C₂×Q₈	—	7	4	no	—
1591	C₂×Q₈	—	7	4	no	—
1592	C₂×Q₈	—	14	4	no	—
1593	C₂×Q₈	—	14	4	no	—
1594	C₂×Q₈	—	14	4	no	—
1595	C₂×Q₈	—	14	4	no	—
1596	C₂×Q₈	—	28	2	no	—
1597	C₂×Q₈	—	28	2	no	—
1598	C₂×Q₈	—	28	2	no	—
1599	C₂×Q₈	—	28	16	no	—
1600	C₂×Q₈	—	28	16	no	—
1601	C₂×Q₈	C₂³×D₇	1	4	yes	—
1602	C₂×D₄	—	2	4	no	—
1603	C₂×D₄	—	2	4	no	—
1604	C₂×D₄	—	4	2	no	—
1605	C₂×D₄	—	4	2	no	—
1606	C₂×D₄	—	4	2	no	—
1607	C₂×D₄	—	4	2	no	—
1608	C₂×D₄	—	4	2	no	—
1609	C₂×D₄	—	7	8	no	—
1610	C₂×D₄	—	7	4	no	—
1611	C₂×D₄	—	7	4	no	—
1612	C₂×D₄	—	7	4	no	—
1613	C₂×D₄	—	7	4	no	—
1614	C₂×D₄	—	7	4	no	—
1615	C₂×D₄	—	7	4	no	—
1616	C₂×D₄	—	7	4	no	—
1617	C₂×D₄	—	7	4	no	—
1618	C₂×D₄	—	7	4	no	—
1619	C₂×D₄	—	7	4	no	—
1620	C₂×D₄	—	7	4	no	—
1621	C₂×D₄	—	7	4	no	—
1622	C₂×D₄	—	7	4	no	—
1623	C₂×D₄	—	7	4	no	—
1624	C₂×D₄	—	7	4	no	—
1625	C₂×D₄	—	7	4	no	—
1626	C₂×D₄	—	7	4	no	—
1627	C₂×D₄	—	14	4	no	—
1628	C₂×D₄	—	14	4	no	—
1629	C₂×D₄	—	14	4	no	—
1630	C₂×D₄	—	14	4	no	—
1631	C₂×D₄	—	14	4	no	—
1632	C₂×D₄	—	14	4	no	—
1633	C₂×D₄	—	14	32	no	—
1634	C₂×D₄	—	14	32	no	—
1635	C₂×D₄	—	14	4	no	—
1636	C₂×D₄	—	14	4	no	—
1637	C₂×D₄	—	14	4	no	—
1638	C₂×D₄	—	28	2	no	—
1639	C₂×D₄	—	28	2	no	—
1640	C₂×D₄	—	28	16	no	—
1641	C₂×D₄	—	28	16	no	—
1642	C₂×D₄	—	28	2	no	—
1643	C₂×D₄	—	28	2	no	—
1644	C₂×D₄	—	28	2	no	—
1645	C₂×D₄	—	28	2	no	—
1646	C₂×D₄	—	28	2	no	—
1647	C₂×D₄	C₂³×D₇	1	4	yes	—
1648	C₂×D₄	C₂³×D₇	1	4	yes	—
1649	C₂×D₄	C₂³×D₇	1	4	yes	—
1650	C₂×D₄	C₂³×D₇	1	4	yes	—
1651	C₂×D₄	C₂³×D₇	1	4	yes	—
1652	C₂×D₄	C₂³×D₇	1	4	yes	—
1653	C₂×D₄	C₂³×D₇	1	4	yes	—
1654	C₂²×C₄	—	4	2	no	—
1655	C₂²×C₄	—	4	2	no	—
1656	C₂²×C₄	—	4	2	no	—
1657	C₂²×C₄	—	4	2	no	—
1658	C₂²×C₄	—	7	1	no	—
1659	C₂²×C₄	—	7	1	no	—
1660	C₂²×C₄	—	7	4	no	—
1661	C₂²×C₄	—	7	4	no	—
1662	C₂²×C₄	—	7	4	no	—
1663	C₂²×C₄	—	7	4	no	—
1664	C₂²×C₄	—	7	4	no	—
1665	C₂²×C₄	—	7	1	no	—
1666	C₂²×C₄	—	7	1	no	—
1667	C₂²×C₄	—	7	1	no	—
1668	C₂²×C₄	—	7	1	no	—
1669	C₂²×C₄	—	7	1	no	—
1670	C₂²×C₄	—	7	1	no	—
1671	C₂²×C₄	—	7	1	no	—
1672	C₂²×C₄	—	7	1	no	—
1673	C₂²×C₄	—	7	1	no	—
1674	C₂²×C₄	—	7	1	no	—
1675	C₂²×C₄	—	7	4	no	—
1676	C₂²×C₄	—	7	4	no	—
1677	C₂²×C₄	—	7	4	no	—
1678	C₂²×C₄	—	7	4	no	—
1679	C₂²×C₄	—	7	4	no	—
1680	C₂²×C₄	—	7	4	no	—
1681	C₂²×C₄	—	7	4	no	—
1682	C₂²×C₄	—	7	4	no	—
1683	C₂²×C₄	—	7	4	no	—
1684	C₂²×C₄	—	7	4	no	—
1685	C₂²×C₄	—	7	4	no	—
1686	C₂²×C₄	—	7	4	no	—
1687	C₂²×C₄	—	7	4	no	—
1688	C₂²×C₄	—	7	4	no	—
1689	C₂²×C₄	—	14	4	no	—
1690	C₂²×C₄	—	14	4	no	—
1691	C₂²×C₄	—	14	4	no	—
1692	C₂²×C₄	—	14	4	no	—
1693	C₂²×C₄	—	14	4	no	—
1694	C₂²×C₄	—	14	4	no	—
1695	C₂²×C₄	—	14	4	no	—
1696	C₂²×C₄	—	14	4	no	—
1697	C₂²×C₄	—	28	2	no	—
1698	C₂²×C₄	—	28	2	no	—
1699	C₂²×C₄	—	28	2	no	—
1700	C₂²×C₄	—	28	2	no	—
1701	C₂²×C₄	—	28	2	no	—
1702	C₂²×C₄	—	28	2	no	—
1703	C₂²×C₄	—	28	2	no	—
1704	C₂²×C₄	—	28	2	no	—
1705	C₂²×C₄	—	28	2	no	—
1706	C₂²×C₄	—	28	2	no	—
1707	C₂²×C₄	—	28	2	no	—
1708	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1709	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1710	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1711	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1712	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1713	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1714	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1715	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1716	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1717	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1718	C₂²×C₄	C₂³×D₇	1	4	yes	—
1719	C₂²×C₄	C₂³×D₇	1	4	yes	—
1720	C₂²×C₄	C₂³×D₇	1	4	yes	—
1721	C₂²×C₄	C₂³×D₇	1	4	yes	—
1722	C₄⋊C₄	—	7	4	no	—
1723	C₄⋊C₄	—	7	4	no	—
1724	C₄⋊C₄	—	7	4	no	—
1725	C₄⋊C₄	—	7	4	no	—
1726	C₄⋊C₄	—	7	4	no	—
1727	C₄⋊C₄	—	7	4	no	—
1728	C₄⋊C₄	—	7	4	no	—
1729	C₄⋊C₄	—	7	4	no	—
1730	C₄⋊C₄	—	7	4	no	—
1731	C₄⋊C₄	—	7	4	no	—
1732	C₄⋊C₄	—	7	4	no	—
1733	C₄⋊C₄	—	7	4	no	—
1734	C₄⋊C₄	—	7	4	no	—
1735	C₄⋊C₄	—	7	4	no	—
1736	C₄⋊C₄	—	7	4	no	—
1737	C₄⋊C₄	—	7	4	no	—
1738	C₄⋊C₄	—	7	4	no	—
1739	C₄⋊C₄	—	7	4	no	—
1740	C₄⋊C₄	—	7	4	no	—
1741	C₄⋊C₄	—	7	4	no	—
1742	C₄⋊C₄	—	7	4	no	—
1743	C₄⋊C₄	—	7	4	no	—
1744	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1745	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1746	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1747	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1748	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1749	C₄⋊C₄	C₂³×D₇	1	4	yes	—
1750	C₂²⋊C₄	—	7	4	no	—
1751	C₂²⋊C₄	—	7	4	no	—
1752	C₂²⋊C₄	—	7	4	no	—
1753	C₂²⋊C₄	—	7	4	no	—
1754	C₂²⋊C₄	—	7	4	no	—
1755	C₂²⋊C₄	—	7	4	no	—
1756	C₂²⋊C₄	—	7	4	no	—
1757	C₂²⋊C₄	—	7	4	no	—
1758	C₂²⋊C₄	—	7	4	no	—
1759	C₂²⋊C₄	—	7	4	no	—
1760	C₂²⋊C₄	—	7	4	no	—
1761	C₂²⋊C₄	—	7	4	no	—
1762	C₂²⋊C₄	—	7	4	no	—
1763	C₂²⋊C₄	—	7	4	no	—
1764	C₂²⋊C₄	—	7	4	no	—
1765	C₂²⋊C₄	—	7	4	no	—
1766	C₂²⋊C₄	—	7	4	no	—
1767	C₂²⋊C₄	—	7	4	no	—
1768	C₂²⋊C₄	—	7	4	no	—
1769	C₂²⋊C₄	—	7	4	no	—
1770	C₂²⋊C₄	—	7	4	no	—
1771	C₂²⋊C₄	—	7	4	no	—
1772	C₂²⋊C₄	—	7	4	no	—
1773	C₂²⋊C₄	—	7	4	no	—
1774	C₂²⋊C₄	—	7	4	no	—
1775	C₂²⋊C₄	—	7	4	no	—
1776	C₂²⋊C₄	—	7	4	no	—
1777	C₂²⋊C₄	—	7	4	no	—
1778	C₂²⋊C₄	—	7	4	no	—
1779	C₂²⋊C₄	—	7	4	no	—
1780	C₂²⋊C₄	—	7	4	no	—
1781	C₂²⋊C₄	—	7	4	no	—
1782	C₂²⋊C₄	—	7	4	no	—
1783	C₂²⋊C₄	—	7	4	no	—
1784	C₂²⋊C₄	—	7	4	no	—
1785	C₂²⋊C₄	—	7	4	no	—
1786	C₂²⋊C₄	—	7	4	no	—
1787	C₂²⋊C₄	—	7	4	no	—
1788	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1789	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1790	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1791	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1792	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1793	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1794	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1795	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1796	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1797	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1798	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1799	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1800	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1801	C₂²⋊C₄	C₂³×D₇	1	4	yes	—
1802	C₄²	—	7	4	no	—
1803	C₄²	—	7	4	no	—
1804	C₄²	—	7	4	no	—
1805	C₄²	—	7	4	no	—
1806	C₄²	—	7	4	no	—
1807	C₄²	—	7	4	no	—
1808	C₄²	—	7	4	no	—
1809	C₄²	—	7	4	no	—
1810	C₄²	—	7	4	no	—
1811	C₄²	—	7	4	no	—
1812	C₄²	—	7	4	no	—
1813	C₄²	—	7	4	no	—
1814	C₄²	—	7	4	no	—
1815	C₄²	—	7	4	no	—
1816	C₄²	C₂³×D₇	1	4	yes	—
1817	C₄²	C₂³×D₇	1	4	yes	—
1818	C₂×C₇	—	2	4	no	—
1819	C₂×C₇	—	4	2	no	—
1820	C₂×C₇	—	4	2	no	—
1821	C₂×C₇	—	4	2	no	—
1822	C₂×C₇	—	4	2	no	—
1823	C₂×C₇	#3514	1	4	yes	complemented
1824	C₂×C₇	C₂³×#41	1	1	yes	characteristic
1825	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1826	C₂×C₇	C₂×#585	1	1	yes	characteristic
1827	D₇	—	2	4	no	—
1828	D₇	—	4	2	no	—
1829	D₇	—	4	2	no	—
1830	D₇	—	4	2	no	—
1831	C₂³	—	2	2	no	—
1832	C₂³	—	2	2	no	—
1833	C₂³	—	2	2	no	—
1834	C₂³	—	2	2	no	—
1835	C₂³	—	2	2	no	—
1836	C₂³	—	2	2	no	—
1837	C₂³	—	2	2	no	—
1838	C₂³	—	2	2	no	—
1839	C₂³	—	2	2	no	—
1840	C₂³	—	2	2	no	—
1841	C₂³	—	2	2	no	—
1842	C₂³	—	2	2	no	—
1843	C₂³	—	2	2	no	—
1844	C₂³	—	2	2	no	—
1845	C₂³	—	2	8	no	—
1846	C₂³	—	4	4	no	—
1847	C₂³	—	4	4	no	—
1848	C₂³	—	7	2	no	—
1849	C₂³	—	7	4	no	—
1850	C₂³	—	7	2	no	—
1851	C₂³	—	7	2	no	—
1852	C₂³	—	7	2	no	—
1853	C₂³	—	8	8	no	—
1854	C₂³	—	14	8	no	—
1855	C₂³	—	14	8	no	—
1856	C₂³	—	14	2	no	—
1857	C₂³	—	14	2	no	—
1858	C₂³	—	14	2	no	—
1859	C₂³	—	14	2	no	—
1860	C₂³	—	14	2	no	—
1861	C₂³	—	14	2	no	—
1862	C₂³	—	14	2	no	—
1863	C₂³	—	14	2	no	—
1864	C₂³	—	14	2	no	—
1865	C₂³	—	14	2	no	—
1866	C₂³	—	14	2	no	—
1867	C₂³	—	14	8	no	—
1868	C₂³	—	28	4	no	—
1869	C₂³	—	28	4	no	—
1870	C₂³	—	28	4	no	—
1871	C₂³	—	28	4	no	—
1872	C₂³	—	28	4	no	—
1873	C₂³	—	28	4	no	—
1874	C₂³	—	56	8	no	—
1875	C₂³	—	56	8	no	—
1876	C₂³	—	56	8	no	—
1877	C₂³	D₇×#41	1	4	yes	—
1878	C₂³	C₂⁴×D₇	1	2	yes	—
1879	C₂³	C₂⁴×D₇	1	2	yes	—
1880	C₂³	C₂⁴×D₇	1	2	yes	—
1881	C₂³	C₂⁴×D₇	1	2	yes	—
1882	C₂³	C₂⁴×D₇	1	2	yes	—
1883	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1884	Q₈	—	4	4	no	—
1885	Q₈	—	14	8	no	—
1886	Q₈	—	14	8	no	—
1887	Q₈	—	14	8	no	—
1888	Q₈	—	14	8	no	—
1889	Q₈	—	28	4	no	—
1890	Q₈	—	28	4	no	—
1891	Q₈	—	28	4	no	—
1892	D₄	—	2	8	no	—
1893	D₄	—	2	8	no	—
1894	D₄	—	4	4	no	—
1895	D₄	—	4	4	no	—
1896	D₄	—	4	4	no	—
1897	D₄	—	4	4	no	—
1898	D₄	—	4	4	no	—
1899	D₄	—	7	16	no	—
1900	D₄	—	14	8	no	—
1901	D₄	—	14	8	no	—
1902	D₄	—	14	8	no	—
1903	D₄	—	14	8	no	—
1904	D₄	—	14	8	no	—
1905	D₄	—	14	8	no	—
1906	D₄	—	14	8	no	—
1907	D₄	—	14	8	no	—
1908	D₄	—	14	8	no	—
1909	D₄	—	28	4	no	—
1910	D₄	—	28	4	no	—
1911	D₄	—	28	4	no	—
1912	D₄	—	28	4	no	—
1913	D₄	—	28	4	no	—
1914	D₄	—	28	4	no	—
1915	D₄	—	28	4	no	—
1916	C₂×C₄	—	2	2	no	—
1917	C₂×C₄	—	2	2	no	—
1918	C₂×C₄	—	2	2	no	—
1919	C₂×C₄	—	2	2	no	—
1920	C₂×C₄	—	2	2	no	—
1921	C₂×C₄	—	2	2	no	—
1922	C₂×C₄	—	2	2	no	—
1923	C₂×C₄	—	2	2	no	—
1924	C₂×C₄	—	2	2	no	—
1925	C₂×C₄	—	2	2	no	—
1926	C₂×C₄	—	4	4	no	—
1927	C₂×C₄	—	4	4	no	—
1928	C₂×C₄	—	4	4	no	—
1929	C₂×C₄	—	4	4	no	—
1930	C₂×C₄	—	7	2	no	—
1931	C₂×C₄	—	7	2	no	—
1932	C₂×C₄	—	7	4	no	—
1933	C₂×C₄	—	7	4	no	—
1934	C₂×C₄	—	7	2	no	—
1935	C₂×C₄	—	7	2	no	—
1936	C₂×C₄	—	7	2	no	—
1937	C₂×C₄	—	7	2	no	—
1938	C₂×C₄	—	7	2	no	—
1939	C₂×C₄	—	7	2	no	—
1940	C₂×C₄	—	7	2	no	—
1941	C₂×C₄	—	7	2	no	—
1942	C₂×C₄	—	7	2	no	—
1943	C₂×C₄	—	7	2	no	—
1944	C₂×C₄	—	14	8	no	—
1945	C₂×C₄	—	14	8	no	—
1946	C₂×C₄	—	14	8	no	—
1947	C₂×C₄	—	14	8	no	—
1948	C₂×C₄	—	14	8	no	—
1949	C₂×C₄	—	14	8	no	—
1950	C₂×C₄	—	14	8	no	—
1951	C₂×C₄	—	14	2	no	—
1952	C₂×C₄	—	14	2	no	—
1953	C₂×C₄	—	14	2	no	—
1954	C₂×C₄	—	14	8	no	—
1955	C₂×C₄	—	14	2	no	—
1956	C₂×C₄	—	14	2	no	—
1957	C₂×C₄	—	14	2	no	—
1958	C₂×C₄	—	14	2	no	—
1959	C₂×C₄	—	14	2	no	—
1960	C₂×C₄	—	14	2	no	—
1961	C₂×C₄	—	14	2	no	—
1962	C₂×C₄	—	28	4	no	—
1963	C₂×C₄	—	28	4	no	—
1964	C₂×C₄	—	28	4	no	—
1965	C₂×C₄	—	28	4	no	—
1966	C₂×C₄	—	28	4	no	—
1967	C₂×C₄	—	28	4	no	—
1968	C₂×C₄	—	28	4	no	—
1969	C₂×C₄	—	28	4	no	—
1970	C₂×C₄	—	28	4	no	—
1971	C₂×C₄	—	28	4	no	—
1972	C₂×C₄	—	28	4	no	—
1973	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1974	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1975	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1976	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1977	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1978	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1979	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1980	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1981	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1982	C₂×C₄	C₂⁴×D₇	1	2	yes	—
1983	C₇	C₂×#3514	1	1	yes	characteristic, complemented, Sylow
1984	C₂²	—	2	2	no	—
1985	C₂²	—	2	2	no	—
1986	C₂²	—	2	8	no	—
1987	C₂²	—	2	2	no	—
1988	C₂²	—	2	2	no	—
1989	C₂²	—	2	2	no	—
1990	C₂²	—	2	2	no	—
1991	C₂²	—	2	2	no	—
1992	C₂²	—	2	2	no	—
1993	C₂²	—	2	2	no	—
1994	C₂²	—	2	2	no	—
1995	C₂²	—	2	2	no	—
1996	C₂²	—	2	2	no	—
1997	C₂²	—	2	2	no	—
1998	C₂²	—	2	2	no	—
1999	C₂²	—	4	4	no	—
2000	C₂²	—	4	4	no	—
2001	C₂²	—	4	4	no	—
2002	C₂²	—	4	4	no	—
2003	C₂²	—	7	4	no	—
2004	C₂²	—	8	8	no	—
2005	C₂²	—	14	2	no	—
2006	C₂²	—	14	2	no	—
2007	C₂²	—	14	8	no	—
2008	C₂²	—	14	2	no	—
2009	C₂²	—	14	2	no	—
2010	C₂²	—	14	2	no	—
2011	C₂²	—	14	2	no	—
2012	C₂²	—	14	2	no	—
2013	C₂²	—	14	2	no	—
2014	C₂²	—	14	2	no	—
2015	C₂²	—	14	2	no	—
2016	C₂²	—	14	2	no	—
2017	C₂²	—	28	4	no	—
2018	C₂²	—	28	4	no	—
2019	C₂²	—	28	4	no	—
2020	C₂²	—	56	8	no	—
2021	C₂²	—	56	8	no	—
2022	C₂²	—	56	8	no	—
2023	C₂²	C₂×D₇×#41	1	4	yes	—
2024	C₂²	C₂×D₇×#41	1	2	yes	—
2025	C₂²	D₇×H(5,𝔽₂)	1	2	yes	—
2026	C₂²	#90618	1	2	yes	—
2027	C₂²	C₂⁵×D₇	1	1	yes	characteristic
2028	C₄	—	2	2	no	—
2029	C₄	—	2	2	no	—
2030	C₄	—	2	2	no	—
2031	C₄	—	2	2	no	—
2032	C₄	—	2	2	no	—
2033	C₄	—	2	2	no	—
2034	C₄	—	2	2	no	—
2035	C₄	—	2	2	no	—
2036	C₄	—	2	2	no	—
2037	C₄	—	2	2	no	—
2038	C₄	—	7	4	no	—
2039	C₄	—	7	4	no	—
2040	C₄	—	14	2	no	—
2041	C₄	—	14	2	no	—
2042	C₄	—	14	2	no	—
2043	C₄	—	14	2	no	—
2044	C₄	—	14	2	no	—
2045	C₄	—	14	2	no	—
2046	C₄	—	14	2	no	—
2047	C₄	—	14	2	no	—
2048	C₄	—	14	2	no	—
2049	C₄	—	14	2	no	—
2050	C₂	—	2	4	no	—
2051	C₂	—	4	2	no	—
2052	C₂	—	4	2	no	—
2053	C₂	—	4	2	no	—
2054	C₂	—	4	2	no	—
2055	C₂	—	14	4	no	—
2056	C₂	—	28	2	no	—
2057	C₂	—	28	2	no	—
2058	C₂	—	28	2	no	—
2059	C₂	#11743460	1	4	yes	direct product factor
2060	C₂	C₂²×D₇×#41	1	1	yes	characteristic
2061	C₂	C₂×#90618	1	1	yes	characteristic
2062	C₂	C₂×D₇×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇
commutator, cosocle	C₂²×C₇	C₂⁶
Frattini	C₂²	C₂⁵×D₇
Fitting	C₂×C₇×#538	C₂
socle	C₂³×C₇	C₂⁵
hypercenter	C₂×#538	D₇
hypocenter	C₇	C₂×#3514
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₂×#538

Complements

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

N	H ≅ G/N	type
1. C₂×C₇×#538	C₂	semidirect
2. #11743460	C₂	direct (N × H)
3. C₂×#90396	C₂	semidirect
4. C₂×#90393	C₂	semidirect
5. C₂×#90401	C₂	semidirect
6. C₂×#90397	C₂	semidirect
7. C₂×#90368	C₂	semidirect
8. C₂×D₇×#124	C₂	semidirect
9. C₂×#90361	C₂	semidirect
10. C₂×#90360	C₂	semidirect
11. C₂×#90349	C₂	semidirect
12. C₂×#90348	C₂	semidirect
13. C₂×#90355	C₂	semidirect
14. C₂×#90340	C₂	semidirect
15. C₂×#90328	C₂	semidirect
16. C₂×#90323	C₂	semidirect
17. C₂×#90301	C₂	semidirect
18. C₂×#90301	C₂	semidirect
19. C₂×#90304	C₂	semidirect
20. C₂×#90307	C₂	semidirect
21. C₂×#90289	C₂	semidirect
22. C₂×#90287	C₂	semidirect
23. C₂×#90282	C₂	semidirect
24. C₂×#90282	C₂	semidirect
25. C₂×#90281	C₂	semidirect
26. C₂×#90278	C₂	semidirect
27. C₂×#90251	C₂	semidirect
28. C₂×#90236	C₂	semidirect
29. C₂×#90229	C₂	semidirect
30. C₂×C₄×#1159	C₂	semidirect
31. C₂×#90177	C₂	semidirect
32. C₂²×#6448	C₂	semidirect
35. C₂²×Q₈×D₇	C₂²	semidirect
37. C₂²×#1159	C₂²	semidirect
38. C₂²×#1159	C₂²	semidirect
41. C₂³×Dic₁₄	C₂²	semidirect
42. C₇×#538	C₂²	semidirect
43. C₂×C₇×#126	C₂²	semidirect
44. C₂×C₇×#126	C₂²	semidirect
45. C₂×C₇×#124	C₂²	semidirect
46. C₂×C₇×#124	C₂²	semidirect
47. C₂×C₇×#123	C₂²	semidirect
48. C₂×C₇×#123	C₂²	semidirect
49. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
50. C₂×C₇×#121	C₂²	semidirect
51. C₂×C₇×#121	C₂²	semidirect
52. C₂×C₇×#121	C₂²	semidirect
54. C₂×C₇×#120	C₂²	semidirect
55. C₂×C₄×C₇×D₄	C₂²	semidirect
56. C₂×C₄×C₇×D₄	C₂²	semidirect
57. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
58. C₂²×C₂²⋊Dic₇	C₂²	semidirect
59. C₂²×C₂²⋊Dic₇	C₂²	semidirect
60. C₂×#6510	C₂²	semidirect
61. C₂×#6509	C₂²	semidirect
62. C₂×#6507	C₂²	semidirect
67. C₂×#6502	C₂²	semidirect
68. C₂×#6502	C₂²	semidirect
69. C₂×#6502	C₂²	semidirect
70. C₂×#6502	C₂²	semidirect
71. C₂×#6501	C₂²	semidirect
72. C₂×#6501	C₂²	semidirect
74. C₂×#6500	C₂²	semidirect
75. C₂×#6500	C₂²	semidirect
76. C₂×#6500	C₂²	semidirect
77. C₂×#6499	C₂²	semidirect
78. C₂×#6499	C₂²	semidirect
79. C₂×#6498	C₂²	semidirect
80. C₂×#6498	C₂²	semidirect
81. C₂×#6498	C₂²	semidirect
82. C₂×D₄×Dic₇	C₂²	semidirect
83. C₂×D₄×Dic₇	C₂²	semidirect
84. C₂×D₄×Dic₇	C₂²	semidirect
85. C₂×D₄×Dic₇	C₂²	semidirect
86. C₂×#6493	C₂²	semidirect
87. C₂×#6492	C₂²	semidirect
90. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
91. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
92. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
93. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
94. C₂×C₄×C₂²⋊D₇	C₂²	semidirect
95. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
96. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
97. C₂²×(C₂×D₇)⋊C₄	C₂²	semidirect
98. C₂×#6489	C₂²	semidirect
99. C₂²×C₄×Dic₇	C₂²	semidirect
100. C₂²×C₄×Dic₇	C₂²	semidirect
101. #90401	C₂²	semidirect
102. #90397	C₂²	semidirect
103. #90396	C₂²	semidirect
104. #90393	C₂²	semidirect
105. #90368	C₂²	semidirect
106. D₇×#124	C₂²	semidirect
107. #90361	C₂²	semidirect
108. #90360	C₂²	semidirect
109. #90355	C₂²	semidirect
110. #90349	C₂²	semidirect
111. #90348	C₂²	semidirect
112. #90340	C₂²	semidirect
113. #90328	C₂²	semidirect
114. #90323	C₂²	semidirect
115. #90307	C₂²	semidirect
116. #90304	C₂²	semidirect
117. #90301	C₂²	semidirect
118. #90301	C₂²	semidirect
119. #90289	C₂²	semidirect
120. #90287	C₂²	semidirect
121. #90282	C₂²	semidirect
122. #90282	C₂²	semidirect
123. #90281	C₂²	semidirect
124. #90278	C₂²	semidirect
125. #90251	C₂²	semidirect
126. #90236	C₂²	semidirect
127. #90229	C₂²	semidirect
128. C₄×#1159	C₂²	semidirect
129. C₂×#6461	C₂²	semidirect
130. C₂×#6461	C₂²	semidirect
131. C₂×#6461	C₂²	semidirect
132. C₂×#6461	C₂²	semidirect
133. C₂×#6460	C₂²	semidirect
134. C₂×#6460	C₂²	semidirect
135. C₂×#6459	C₂²	semidirect
136. C₂×#6459	C₂²	semidirect
137. C₂×#6459	C₂²	semidirect
138. C₂×#6457	C₂²	semidirect
139. C₂×#6457	C₂²	semidirect
140. C₂×#6457	C₂²	semidirect
141. C₂×#6457	C₂²	semidirect
142. C₂×#6456	C₂²	semidirect
143. C₂×#6456	C₂²	semidirect
144. C₂×#6455	C₂²	semidirect
145. C₂×#6455	C₂²	semidirect
146. C₂×#6455	C₂²	semidirect
147. C₂×#6452	C₂²	semidirect
148. C₂×#6451	C₂²	semidirect
149. C₂×#6451	C₂²	semidirect
150. C₂×#6450	C₂²	semidirect
151. C₂×#6450	C₂²	semidirect
152. C₂×#6450	C₂²	semidirect
153. C₂×#6449	C₂²	semidirect
154. C₂×#6449	C₂²	semidirect
158. C₂×#6448	C₂²	semidirect
159. C₂×#6448	C₂²	semidirect
160. C₂×#6448	C₂²	semidirect
161. C₂×#6448	C₂²	semidirect
162. C₂×#6448	C₂²	semidirect
163. C₂×#6448	C₂²	semidirect
164. C₂×#6448	C₂²	semidirect
165. C₂×#6448	C₂²	semidirect
166. C₂×#6448	C₂²	semidirect
167. C₂×#6448	C₂²	semidirect
168. C₂×#6448	C₂²	semidirect
169. C₂×#6448	C₂²	semidirect
170. C₂×#6448	C₂²	semidirect
173. C₂×#6447	C₂²	semidirect
174. C₂×#6447	C₂²	semidirect
175. C₂×#6446	C₂²	semidirect
176. C₂×#6446	C₂²	semidirect
179. #90177	C₂²	semidirect
183. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
184. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
185. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
186. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
187. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
188. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
189. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
190. C₂×(C₂²⋊D₇)⋊C₄	C₂²	semidirect
191. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
192. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
193. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
194. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
195. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
196. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
197. C₂×#6442	C₂²	semidirect
198. C₂×#6442	C₂²	semidirect
199. C₂×#6442	C₂²	semidirect
200. C₂×#6441	C₂²	semidirect
201. C₂×#6441	C₂²	semidirect
202. C₂×#6441	C₂²	semidirect
203. C₂×#6441	C₂²	semidirect
204. C₂×#6441	C₂²	semidirect
205. C₂×#6441	C₂²	semidirect
206. C₂×#6440	C₂²	semidirect
207. C₂×#6440	C₂²	semidirect
208. C₂×#6440	C₂²	semidirect
209. C₂×#6440	C₂²	semidirect
210. C₂×#6440	C₂²	semidirect
211. C₂×#6439	C₂²	semidirect
212. C₂×#6438	C₂²	semidirect
213. C₂×C₄×D₂₈	C₂²	semidirect
214. C₂×#6435	C₂²	semidirect
215. C₂×#6435	C₂²	semidirect
216. C₂×C₄²×D₇	C₂²	semidirect
217. C₂×C₄×Dic₁₄	C₂²	semidirect
218. C₂×C₄×Dic₁₄	C₂²	semidirect
264. C₂×Q₈×D₇	C₂³	semidirect
269. C₂×#1159	C₂³	semidirect
270. C₂×#1159	C₂³	semidirect
296. C₂²×Dic₁₄	C₂³	semidirect
297. C₇×#126	C₂³	semidirect
298. C₇×#126	C₂³	semidirect
299. C₇×#124	C₂³	semidirect
300. C₇×#124	C₂³	semidirect
301. C₇×#123	C₂³	semidirect
302. C₇×#123	C₂³	semidirect
303. C₇×C₂²⋊Q₈	C₂³	semidirect
304. C₇×#121	C₂³	semidirect
305. C₇×#121	C₂³	semidirect
306. C₇×#121	C₂³	semidirect
308. C₇×#120	C₂³	semidirect
309. C₄×C₇×D₄	C₂³	semidirect
310. C₄×C₇×D₄	C₂³	semidirect
331. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
348. C₂×C₂²⋊Dic₇	C₂³	semidirect
349. C₂×C₂²⋊Dic₇	C₂³	semidirect
350. #6510	C₂³	semidirect
351. #6509	C₂³	semidirect
352. #6507	C₂³	semidirect
357. #6502	C₂³	semidirect
358. #6502	C₂³	semidirect
359. #6502	C₂³	semidirect
360. #6502	C₂³	semidirect
361. #6501	C₂³	semidirect
362. #6501	C₂³	semidirect
364. #6500	C₂³	semidirect
365. #6500	C₂³	semidirect
366. #6500	C₂³	semidirect
367. #6499	C₂³	semidirect
368. #6499	C₂³	semidirect
369. #6498	C₂³	semidirect
370. #6498	C₂³	semidirect
371. #6498	C₂³	semidirect
372. D₄×Dic₇	C₂³	semidirect
373. D₄×Dic₇	C₂³	semidirect
374. D₄×Dic₇	C₂³	semidirect
375. D₄×Dic₇	C₂³	semidirect
376. #6493	C₂³	semidirect
377. #6492	C₂³	semidirect
380. C₄×C₂²⋊D₇	C₂³	semidirect
381. C₄×C₂²⋊D₇	C₂³	semidirect
382. C₄×C₂²⋊D₇	C₂³	semidirect
383. C₄×C₂²⋊D₇	C₂³	semidirect
384. C₄×C₂²⋊D₇	C₂³	semidirect
409. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
410. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
411. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
412. #6489	C₂³	semidirect
449. C₂×C₄×Dic₇	C₂³	semidirect
450. C₂×C₄×Dic₇	C₂³	semidirect
451. #6461	C₂³	semidirect
452. #6461	C₂³	semidirect
453. #6461	C₂³	semidirect
454. #6461	C₂³	semidirect
455. #6460	C₂³	semidirect
456. #6460	C₂³	semidirect
457. #6459	C₂³	semidirect
458. #6459	C₂³	semidirect
459. #6459	C₂³	semidirect
460. #6457	C₂³	semidirect
461. #6457	C₂³	semidirect
462. #6457	C₂³	semidirect
463. #6457	C₂³	semidirect
464. #6456	C₂³	semidirect
465. #6456	C₂³	semidirect
466. #6455	C₂³	semidirect
467. #6455	C₂³	semidirect
468. #6455	C₂³	semidirect
469. #6452	C₂³	semidirect
470. #6451	C₂³	semidirect
471. #6451	C₂³	semidirect
472. #6450	C₂³	semidirect
473. #6450	C₂³	semidirect
474. #6450	C₂³	semidirect
475. #6449	C₂³	semidirect
476. #6449	C₂³	semidirect
480. #6448	C₂³	semidirect
481. #6448	C₂³	semidirect
482. #6448	C₂³	semidirect
483. #6448	C₂³	semidirect
484. #6448	C₂³	semidirect
485. #6448	C₂³	semidirect
486. #6448	C₂³	semidirect
487. #6448	C₂³	semidirect
488. #6448	C₂³	semidirect
489. #6448	C₂³	semidirect
490. #6448	C₂³	semidirect
491. #6448	C₂³	semidirect
494. #6447	C₂³	semidirect
495. #6447	C₂³	semidirect
496. #6446	C₂³	semidirect
497. #6446	C₂³	semidirect
503. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
504. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
505. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
506. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
507. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
508. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
509. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
510. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
511. D₇×C₂²⋊C₄	C₂³	semidirect
512. D₇×C₂²⋊C₄	C₂³	semidirect
513. D₇×C₂²⋊C₄	C₂³	semidirect
514. D₇×C₂²⋊C₄	C₂³	semidirect
515. D₇×C₂²⋊C₄	C₂³	semidirect
516. D₇×C₂²⋊C₄	C₂³	semidirect
517. #6442	C₂³	semidirect
518. #6442	C₂³	semidirect
519. #6442	C₂³	semidirect
520. #6441	C₂³	semidirect
521. #6441	C₂³	semidirect
522. #6441	C₂³	semidirect
523. #6441	C₂³	semidirect
524. #6441	C₂³	semidirect
525. #6441	C₂³	semidirect
526. #6440	C₂³	semidirect
527. #6440	C₂³	semidirect
528. #6440	C₂³	semidirect
529. #6440	C₂³	semidirect
530. #6440	C₂³	semidirect
531. #6439	C₂³	semidirect
532. #6438	C₂³	semidirect
533. C₄×D₂₈	C₂³	semidirect
534. #6435	C₂³	semidirect
535. #6435	C₂³	semidirect
536. C₄²×D₇	C₂³	semidirect
537. C₄×Dic₁₄	C₂³	semidirect
538. C₄×Dic₁₄	C₂³	semidirect
561. C₂×#538	D₇	semidirect
645. C₂×C₂²⋊D₇	#41	semidirect
863. #538	C₂×D₇	semidirect
880. C₂×#126	C₂×D₇	semidirect
881. C₂×#126	C₂×D₇	semidirect
904. C₂×#124	C₂×D₇	semidirect
905. C₂×#124	C₂×D₇	semidirect
918. C₂×#123	C₂×D₇	semidirect
919. C₂×#123	C₂×D₇	semidirect
932. C₂×C₂²⋊Q₈	C₂×D₇	semidirect
947. C₂×#121	C₂×D₇	semidirect
948. C₂×#121	C₂×D₇	semidirect
949. C₂×#121	C₂×D₇	semidirect
957. C₂×#120	C₂×D₇	semidirect
991. C₂×C₄×D₄	C₂×D₇	semidirect
992. C₂×C₄×D₄	C₂×D₇	semidirect
1015. C₂²×C₂²⋊C₄	C₂×D₇	semidirect
1117. C₂²⋊D₇	C₂×#41	semidirect
1260. #126	C₂²×D₇	semidirect
1261. #126	C₂²×D₇	semidirect
1282. #124	C₂²×D₇	semidirect
1283. #124	C₂²×D₇	semidirect
1296. #123	C₂²×D₇	semidirect
1297. #123	C₂²×D₇	semidirect
1310. C₂²⋊Q₈	C₂²×D₇	semidirect
1325. #121	C₂²×D₇	semidirect
1326. #121	C₂²×D₇	semidirect
1327. #121	C₂²×D₇	semidirect
1335. #120	C₂²×D₇	semidirect
1366. C₄×D₄	C₂²×D₇	semidirect
1367. C₄×D₄	C₂²×D₇	semidirect
1470. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
1823. C₂×C₇	#3514	semidirect
1983. C₇	C₂×#3514	semidirect
2059. C₂	#11743460	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₇×#538	2
#11743460	2
C₂×#90396	2
C₂×#90393	2
C₂×#90401	2
C₂×#90397	2
C₂×#90368	2
C₂×D₇×#124	2
C₂×#90361	2
C₂×#90360	2
C₂×#90349	2
C₂×#90348	2
C₂×#90355	2
C₂×#90340	2
C₂×#90328	2
C₂×#90323	2
C₂×#90301	2
C₂×#90304	2
C₂×#90307	2
C₂×#90289	2
C₂×#90287	2
C₂×#90282	2
C₂×#90281	2
C₂×#90278	2
C₂×#90251	2
C₂×#90236	2
C₂×#90229	2
C₂×C₄×#1159	2
C₂×#90177	2
C₂²×#6448	2
C₂×#3514	7

Subgroups — C2×#11743460 #14261887

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11743460 #14261887