Subgroups — #16747905

Order 3328.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#6127	C₂	1	1	yes	maximal, characteristic, complemented
2	#13126956	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126926	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126896	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126881	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126866	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126851	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126821	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126791	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126422	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126407	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126402	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126392	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126387	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126362	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126347	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126332	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125869	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125843	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125673	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125666	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125624	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125617	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124992	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124939	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124094	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124076	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124052	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718708	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123865	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#6127	C₂²	1	1	yes	characteristic
33	C₂²×#6127	C₂²	1	1	yes	characteristic
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#554	—	2	1	no	—
36	C₁₃×#552	C₂²	1	1	yes	characteristic
37	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#551	—	2	1	no	—
39	C₁₃×#551	—	2	1	no	—
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#548	C₂²	1	1	yes	characteristic
42	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#546	—	2	1	no	—
46	C₁₃×#542	—	2	1	no	—
47	C₁₃×#539	—	2	1	no	—
48	C₁₃×#539	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#520	—	2	1	no	—
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
61	C₂²×#6107	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
64	C₂²×#6106	C₂²	1	1	yes	characteristic, complemented
65	D₄×C₂²⋊D₁₃	—	2	1	no	—
66	#11719496	C₂²	1	1	yes	characteristic
67	#11719496	C₂²	1	1	yes	characteristic
68	#11719258	C₂²	1	1	yes	characteristic
69	#11719257	C₂²	1	1	yes	characteristic
70	#11719257	C₂²	1	1	yes	characteristic
71	#11719256	C₂²	1	1	yes	characteristic
72	#11719255	C₂²	1	1	yes	characteristic
73	#11719255	C₂²	1	1	yes	characteristic
74	D₄×D₅₂	C₂²	1	1	yes	characteristic
75	#11719253	—	2	1	no	—
76	#11719252	—	2	1	no	—
77	#11719252	—	2	1	no	—
78	C₄×D₄×D₁₃	—	2	1	no	—
79	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
80	#11719212	—	2	1	no	—
81	#11719195	—	2	1	no	—
82	#11719195	—	2	1	no	—
83	#11719182	C₂²	1	1	yes	characteristic
84	C₄×#6127	C₂²	1	1	yes	characteristic
85	#11718900	C₂²	1	1	yes	characteristic, complemented
86	#11718900	C₂²	1	1	yes	characteristic, complemented
87	#11718899	C₂²	1	1	yes	characteristic, complemented
88	#11718899	C₂²	1	1	yes	characteristic, complemented
89	#11718889	C₂²	1	1	yes	characteristic, complemented
90	#11718889	C₂²	1	1	yes	characteristic, complemented
91	#11718888	C₂²	1	1	yes	characteristic, complemented
92	#11718888	C₂²	1	1	yes	characteristic, complemented
93	#11718868	C₂²	1	1	yes	characteristic, complemented
94	#11718868	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
97	#11718752	C₂²	1	1	yes	characteristic, complemented
98	#11718751	C₂²	1	1	yes	characteristic, complemented
99	#11718750	C₂²	1	1	yes	characteristic, complemented
100	#11718750	C₂²	1	1	yes	characteristic, complemented
101	#11718747	C₂²	1	1	yes	characteristic, complemented
102	#11718747	C₂²	1	1	yes	characteristic, complemented
103	#11718745	C₂²	1	1	yes	characteristic, complemented
104	#11718744	C₂²	1	1	yes	characteristic, complemented
105	#11718730	C₂²	1	1	yes	characteristic, complemented
106	#11718728	C₂²	1	1	yes	characteristic, complemented
107	#11718727	C₂²	1	1	yes	characteristic, complemented
108	#11718724	C₂²	1	1	yes	characteristic, complemented
109	#11718721	C₂²	1	1	yes	characteristic, complemented
110	#11718719	C₂²	1	1	yes	characteristic, complemented
111	#11718718	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718713	C₂²	1	1	yes	characteristic, complemented
114	#11718713	C₂²	1	1	yes	characteristic, complemented
115	#11718713	C₂²	1	1	yes	characteristic, complemented
116	#11718712	C₂²	1	1	yes	characteristic, complemented
117	#11718712	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718711	C₂²	1	1	yes	characteristic, complemented
120	#11718711	C₂²	1	1	yes	characteristic, complemented
121	#11718711	C₂²	1	1	yes	characteristic, complemented
122	#11718710	C₂²	1	1	yes	characteristic, complemented
123	#11718710	C₂²	1	1	yes	characteristic, complemented
124	#11718710	C₂²	1	1	yes	characteristic, complemented
125	#11718709	C₂²	1	1	yes	characteristic, complemented
126	#11718709	C₂²	1	1	yes	characteristic, complemented
127	#11718709	C₂²	1	1	yes	characteristic, complemented
128	#11718708	C₂²	1	1	yes	characteristic
129	#11718708	C₂²	1	1	yes	characteristic
130	#11718708	C₂²	1	1	yes	characteristic
131	#11718708	C₂²	1	1	yes	characteristic, complemented
132	#11718708	C₂²	1	1	yes	characteristic, complemented
133	#11718708	C₂²	1	1	yes	characteristic, complemented
134	#11718708	C₂²	1	1	yes	characteristic, complemented
135	#11718708	C₂²	1	1	yes	characteristic, complemented
136	#11718708	C₂²	1	1	yes	characteristic, complemented
137	#11718708	C₂²	1	1	yes	characteristic, complemented
138	#11718708	C₂²	1	1	yes	characteristic, complemented
139	#11718708	C₂²	1	1	yes	characteristic, complemented
140	#11718708	C₂²	1	1	yes	characteristic, complemented
141	#11718708	C₂²	1	1	yes	characteristic, complemented
142	#11718708	C₂²	1	1	yes	characteristic, complemented
143	#11718707	C₂²	1	1	yes	characteristic, complemented
144	#11718707	C₂²	1	1	yes	characteristic, complemented
145	#11718707	C₂²	1	1	yes	characteristic, complemented
146	#11718706	C₂²	1	1	yes	characteristic, complemented
147	#11718706	C₂²	1	1	yes	characteristic, complemented
148	#11718706	C₂²	1	1	yes	characteristic, complemented
149	#11718703	C₂²	1	1	yes	characteristic, complemented
150	#11718702	C₂²	1	1	yes	characteristic, complemented
151	#11718701	C₂²	1	1	yes	characteristic, complemented
152	#11718700	C₂²	1	1	yes	characteristic, complemented
153	#11718699	C₂²	1	1	yes	characteristic, complemented
154	#11718698	C₂²	1	1	yes	characteristic
155	#11718698	C₂²	1	1	yes	characteristic, complemented
156	#11718698	C₂²	1	1	yes	characteristic, complemented
157	#11718698	C₂²	1	1	yes	characteristic, complemented
158	#11718698	C₂²	1	1	yes	characteristic, complemented
159	#11718697	C₂²	1	1	yes	characteristic, complemented
160	#11718696	C₂²	1	1	yes	characteristic, complemented
161	#11718692	C₂²	1	1	yes	characteristic, complemented
162	#11718692	C₂²	1	1	yes	characteristic, complemented
163	#11718691	C₂²	1	1	yes	characteristic, complemented
164	#11718691	C₂²	1	1	yes	characteristic, complemented
165	#11718691	C₂²	1	1	yes	characteristic, complemented
166	#11718689	C₂²	1	1	yes	characteristic, complemented
167	#11718689	C₂²	1	1	yes	characteristic, complemented
168	#11718688	C₂²	1	1	yes	characteristic, complemented
169	#11718688	C₂²	1	1	yes	characteristic, complemented
170	#11718687	C₂²	1	1	yes	characteristic, complemented
171	#11718687	C₂²	1	1	yes	characteristic, complemented
172	#11718687	C₂²	1	1	yes	characteristic, complemented
173	#11718679	C₂²	1	1	yes	characteristic, complemented
174	#11718677	C₂²	1	1	yes	characteristic, complemented
175	#11718677	C₂²	1	1	yes	characteristic, complemented
176	#11718675	C₂²	1	1	yes	characteristic, complemented
177	#11718672	C₂²	1	1	yes	characteristic
178	#11718672	C₂²	1	1	yes	characteristic
179	#11718672	C₂²	1	1	yes	characteristic, complemented
180	#11718672	C₂²	1	1	yes	characteristic, complemented
181	#11718672	C₂²	1	1	yes	characteristic, complemented
182	#11718672	C₂²	1	1	yes	characteristic, complemented
183	#11718672	C₂²	1	1	yes	characteristic, complemented
184	#11718672	C₂²	1	1	yes	characteristic, complemented
185	#11718665	C₂²	1	1	yes	characteristic, complemented
186	#11718664	C₂²	1	1	yes	characteristic, complemented
187	#11718664	C₂²	1	1	yes	characteristic, complemented
188	#11718663	C₂²	1	1	yes	characteristic, complemented
189	#11718663	C₂²	1	1	yes	characteristic, complemented
190	#11718662	C₂²	1	1	yes	characteristic, complemented
191	#11718657	C₂²	1	1	yes	characteristic, complemented
192	#11718657	C₂²	1	1	yes	characteristic, complemented
193	#11718632	C₂²	1	1	yes	characteristic, complemented
194	#11718631	C₂²	1	1	yes	characteristic, complemented
195	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
196	#11718629	C₂²	1	1	yes	characteristic, complemented
197	#11718628	C₂²	1	1	yes	characteristic, complemented
198	#11718627	C₂²	1	1	yes	characteristic, complemented
199	#11718627	C₂²	1	1	yes	characteristic, complemented
200	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
201	#11718587	C₂²	1	1	yes	characteristic, complemented
202	#11718587	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
209	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₂²⋊D₁₃	—	2	1	no	—
212	C₂²×C₂²⋊D₁₃	—	2	1	no	—
213	C₂×D₄×D₁₃	—	2	1	no	—
214	C₂×#6127	—	2	1	no	—
215	C₂×#6127	—	2	1	no	—
216	C₂×#6127	—	2	1	no	—
217	C₂×#6127	—	2	1	no	—
218	C₂×#6127	—	4	2	no	—
219	C₂×#6127	—	4	2	no	—
220	C₂×#6127	—	4	2	no	—
221	C₂×#6127	—	4	2	no	—
222	C₂×#6127	C₂³	1	1	yes	characteristic
223	C₂×#6127	C₂³	1	1	yes	characteristic
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂×#6127	C₂³	1	1	yes	characteristic
229	C₂²×D₅₂	C₂³	1	1	yes	characteristic
230	C₂²×D₅₂	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₁₃	—	2	1	no	—
232	C₂²×C₄×D₁₃	—	2	1	no	—
233	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
234	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	—	2	1	no	—
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#126	—	2	1	no	—
243	C₁₃×#125	—	2	1	no	—
244	C₁₃×#125	—	2	1	no	—
245	C₁₃×#125	—	2	1	no	—
246	C₁₃×#125	C₂³	1	1	yes	characteristic
247	C₁₃×#124	—	2	1	no	—
248	C₁₃×#124	—	2	1	no	—
249	C₁₃×#124	—	2	1	no	—
250	C₁₃×#124	C₂³	1	1	yes	characteristic
251	C₁₃×#123	—	2	1	no	—
252	C₁₃×#123	—	2	1	no	—
253	C₁₃×#123	—	2	1	no	—
254	C₁₃×#123	—	2	1	no	—
255	C₁₃×#123	—	2	1	no	—
256	C₁₃×#123	—	2	1	no	—
257	C₁₃×#123	—	2	1	no	—
258	C₁₃×#123	—	2	1	no	—
259	C₁₃×#123	—	2	1	no	—
260	C₁₃×C₂²⋊Q₈	—	2	1	no	—
261	C₁₃×C₂²⋊Q₈	—	2	1	no	—
262	C₁₃×C₂²⋊Q₈	—	2	1	no	—
263	C₁₃×C₂²⋊Q₈	—	2	1	no	—
264	C₁₃×C₂²⋊Q₈	—	2	1	no	—
265	C₁₃×C₂²⋊Q₈	—	2	1	no	—
266	C₁₃×C₂²⋊Q₈	—	2	1	no	—
267	C₁₃×C₂²⋊Q₈	—	2	1	no	—
268	C₁₃×C₂²⋊Q₈	—	2	1	no	—
269	C₁₃×C₂²⋊Q₈	—	2	1	no	—
270	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
271	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
272	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
273	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
274	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
277	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
279	C₁₃×#121	—	2	1	no	—
280	C₁₃×#121	—	2	1	no	—
281	C₁₃×#121	—	2	1	no	—
282	C₁₃×#121	C₂³	1	1	yes	characteristic
283	C₁₃×#121	C₂³	1	1	yes	characteristic
284	C₁₃×#121	C₂³	1	1	yes	characteristic
285	C₁₃×#120	—	2	1	no	—
286	C₁₃×#120	—	2	1	no	—
287	C₄×Q₈×C₁₃	—	2	1	no	—
288	C₄×Q₈×C₁₃	—	2	1	no	—
289	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
290	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
291	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₁₃	—	2	1	no	—
293	C₄×D₄×C₁₃	—	2	1	no	—
294	C₄×D₄×C₁₃	—	2	1	no	—
295	C₄×D₄×C₁₃	—	2	1	no	—
296	C₄×D₄×C₁₃	—	2	1	no	—
297	C₄×D₄×C₁₃	—	2	1	no	—
298	C₄×D₄×C₁₃	—	2	1	no	—
299	C₄×D₄×C₁₃	—	2	1	no	—
300	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
301	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
302	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
303	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
304	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
305	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
306	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
307	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
308	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
309	C₁₃×#117	—	2	1	no	—
310	C₁₃×#117	—	2	1	no	—
311	C₁₃×#117	—	2	1	no	—
312	C₁₃×#117	—	2	1	no	—
313	C₁₃×#117	C₂³	1	1	yes	characteristic
314	C₁₃×#117	C₂³	1	1	yes	characteristic
315	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
316	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
317	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
318	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
319	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
322	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
323	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
324	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
325	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
326	#88207	—	2	1	no	—
327	#88207	—	2	1	no	—
328	#88205	—	4	2	no	—
329	#88204	—	4	2	no	—
330	#88204	—	4	2	no	—
331	#88203	—	4	2	no	—
332	C₂×#6107	—	4	2	no	—
333	C₂×#6107	C₂³	1	1	yes	characteristic
334	C₂×#6107	C₂³	1	1	yes	characteristic
335	C₂×#6107	C₂³	1	1	yes	characteristic
336	C₂×#6107	C₂³	1	1	yes	characteristic
337	C₂×#6107	C₂³	1	1	yes	characteristic
338	C₂×#6107	C₂³	1	1	yes	characteristic
339	C₂×#6107	C₂³	1	1	yes	characteristic
340	C₂×#6107	C₂³	1	1	yes	characteristic
341	C₂×#6107	C₂³	1	1	yes	characteristic
342	#88196	—	4	2	no	—
343	#88196	—	4	2	no	—
344	C₂×#6106	—	4	2	no	—
345	C₂×#6106	C₂³	1	1	yes	characteristic
346	C₂×#6106	C₂³	1	1	yes	characteristic
347	C₂×#6106	C₂³	1	1	yes	characteristic
348	C₂×#6106	C₂³	1	1	yes	characteristic
349	C₂×#6106	C₂³	1	1	yes	characteristic
350	C₂×#6106	C₂³	1	1	yes	characteristic
351	C₂×#6106	C₂³	1	1	yes	characteristic
352	C₂×#6106	C₂³	1	1	yes	characteristic
353	C₂×#6106	C₂³	1	1	yes	characteristic
354	#88194	—	2	1	no	—
355	#88193	—	2	1	no	—
356	#88193	—	2	1	no	—
357	#88192	—	2	1	no	—
358	#88191	—	2	1	no	—
359	#88191	—	2	1	no	—
360	D₄×Dic₁₃	—	2	1	no	—
361	C₂×#6105	C₂³	1	1	yes	characteristic
362	C₂×#6105	C₂³	1	1	yes	characteristic
363	C₂×#6105	C₂³	1	1	yes	characteristic
364	C₂×#6104	C₂³	1	1	yes	characteristic
365	C₂×#6104	C₂³	1	1	yes	characteristic
366	C₂×#6104	C₂³	1	1	yes	characteristic
367	#88184	—	2	1	no	—
368	#88184	—	2	1	no	—
369	#88184	C₂³	1	1	yes	characteristic
370	#88184	C₂³	1	1	yes	characteristic
371	#88184	C₂³	1	1	yes	characteristic
372	#88184	C₂³	1	1	yes	characteristic
373	#88183	—	2	1	no	—
374	#88183	—	2	1	no	—
375	C₄×C₂²⋊D₁₃	—	2	1	no	—
376	C₄×C₂²⋊D₁₃	—	2	1	no	—
377	C₄×C₂²⋊D₁₃	—	2	1	no	—
378	C₄×C₂²⋊D₁₃	—	2	1	no	—
379	C₄×C₂²⋊D₁₃	—	2	1	no	—
380	C₄×C₂²⋊D₁₃	—	2	1	no	—
381	#88180	C₂³	1	1	yes	characteristic
382	#88178	C₂³	1	1	yes	characteristic
383	#88178	C₂³	1	1	yes	characteristic
384	#88178	C₂³	1	1	yes	characteristic
385	#88178	C₂³	1	1	yes	characteristic
386	C₂×#6099	C₂³	1	1	yes	characteristic
387	C₂×#6099	C₂³	1	1	yes	characteristic
388	C₂×#6099	C₂³	1	1	yes	characteristic
389	C₂×#6099	C₂³	1	1	yes	characteristic
390	C₂²×#1055	C₂³	1	1	yes	characteristic
391	C₂²×#1055	C₂³	1	1	yes	characteristic
392	C₂²×#1055	C₂³	1	1	yes	characteristic
393	C₂²×#1055	C₂³	1	1	yes	characteristic
394	#88150	—	2	1	no	—
395	#88150	—	2	1	no	—
396	#88149	—	2	1	no	—
397	#88148	—	2	1	no	—
398	#88148	—	2	1	no	—
399	#88147	—	2	1	no	—
400	C₄⋊C₄×D₁₃	—	2	1	no	—
401	#88142	—	2	1	no	—
402	#88139	—	2	1	no	—
403	#88139	—	2	1	no	—
404	#88138	—	2	1	no	—
405	#88138	—	2	1	no	—
406	#88138	—	2	1	no	—
407	#88138	—	2	1	no	—
408	#88137	—	2	1	no	—
409	#88137	—	2	1	no	—
410	#88136	—	2	1	no	—
411	#88136	—	2	1	no	—
412	#88135	—	2	1	no	—
413	#88135	—	2	1	no	—
414	C₂²⋊C₄×D₁₃	—	2	1	no	—
415	C₂²⋊C₄×D₁₃	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88129	C₂³	1	1	yes	characteristic
419	#88129	C₂³	1	1	yes	characteristic
420	#88128	C₂³	1	1	yes	characteristic
421	C₄×D₅₂	—	2	1	no	—
422	C₄×D₅₂	—	2	1	no	—
423	C₄×D₅₂	C₂³	1	1	yes	characteristic
424	C₄×D₅₂	C₂³	1	1	yes	characteristic
425	#88126	—	2	1	no	—
426	C₄²×D₁₃	—	2	1	no	—
427	#88123	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	C₂²⋊#1055	C₂³	1	1	yes	characteristic
439	C₂²⋊#1055	C₂³	1	1	yes	characteristic
440	C₂²⋊#1055	C₂³	1	1	yes	characteristic
441	C₂²⋊#1055	C₂³	1	1	yes	characteristic
442	C₂²⋊#1055	C₂³	1	1	yes	characteristic
443	C₂²⋊#1055	C₂³	1	1	yes	characteristic
444	C₂²⋊#1055	C₂³	1	1	yes	characteristic
445	C₂²⋊#1055	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	C₂²⋊#1055	C₂³	1	1	yes	characteristic
449	C₂²⋊#1055	C₂³	1	1	yes	characteristic
450	#88050	C₂³	1	1	yes	characteristic
451	#88050	C₂³	1	1	yes	characteristic
452	#88050	C₂³	1	1	yes	characteristic
453	#88050	C₂³	1	1	yes	characteristic
454	#88050	C₂³	1	1	yes	characteristic
455	#88050	C₂³	1	1	yes	characteristic
456	#88050	C₂³	1	1	yes	characteristic
457	#88050	C₂³	1	1	yes	characteristic
458	#88050	C₂³	1	1	yes	characteristic
459	#88050	C₂³	1	1	yes	characteristic
460	#88050	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88049	C₂³	1	1	yes	characteristic
463	#88049	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88048	C₂³	1	1	yes	characteristic
477	#88048	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	#88047	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	C₄⋊#1055	C₂³	1	1	yes	characteristic
484	C₄⋊#1055	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#88043	C₂³	1	1	yes	characteristic
488	#88043	C₂³	1	1	yes	characteristic
489	#88043	C₂³	1	1	yes	characteristic
490	#61580	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₁₃×#41	—	4	1	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₁₃×#41	—	4	4	no	—
500	C₂×Q₈×C₁₃	—	2	1	no	—
501	C₂×Q₈×C₁₃	—	2	1	no	—
502	C₂×Q₈×C₁₃	—	2	1	no	—
503	C₂×Q₈×C₁₃	—	4	1	no	—
504	C₂×Q₈×C₁₃	—	4	1	no	—
505	C₂×Q₈×C₁₃	—	4	1	no	—
506	C₂×Q₈×C₁₃	—	4	1	no	—
507	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	4	2	no	—
516	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	4	1	no	—
529	C₂²×C₄×C₁₃	—	4	1	no	—
530	C₂²×C₄×C₁₃	—	4	1	no	—
531	C₂²×C₄×C₁₃	—	4	1	no	—
532	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
535	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×C₂²⋊D₁₃	—	2	1	no	—
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	—	2	1	no	—
555	C₂×C₂²⋊D₁₃	—	2	1	no	—
556	C₂×C₂²⋊D₁₃	—	4	4	no	—
557	C₂×C₂²⋊D₁₃	—	4	4	no	—
558	C₂²×Dic₁₃	—	2	1	no	—
559	C₂²×Dic₁₃	—	2	1	no	—
560	D₄×D₁₃	—	4	4	no	—
561	#6127	—	2	2	no	—
562	#6127	—	2	2	no	—
563	#6127	—	2	2	no	—
564	#6127	—	2	2	no	—
565	#6127	—	2	2	no	—
566	#6127	—	2	2	no	—
567	#6127	—	4	1	no	—
568	#6127	—	4	1	no	—
569	#6127	—	4	1	no	—
570	#6127	—	4	1	no	—
571	#6127	—	4	1	no	—
572	#6127	—	4	1	no	—
573	#6127	—	4	1	no	—
574	#6127	—	4	1	no	—
575	#6127	—	4	4	no	—
576	#6127	—	4	4	no	—
577	#6127	—	4	4	no	—
578	#6127	—	4	4	no	—
579	C₂×D₅₂	—	2	2	no	—
580	C₂×D₅₂	—	2	2	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	—	4	1	no	—
586	C₂×D₅₂	—	4	1	no	—
587	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
588	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
589	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	2	1	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×C₄×D₁₃	—	2	1	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	4	4	no	—
600	C₂×C₄×D₁₃	—	4	4	no	—
601	C₂×Dic₂₆	—	2	2	no	—
602	C₂×Dic₂₆	—	2	2	no	—
603	C₂×Dic₂₆	—	2	1	no	—
604	C₂×Dic₂₆	—	2	1	no	—
605	C₂×Dic₂₆	—	4	1	no	—
606	C₂×Dic₂₆	—	4	1	no	—
607	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
608	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
609	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	—	2	1	no	—
626	C₁₃×C₄⋊C₄	—	2	1	no	—
627	C₁₃×C₄⋊C₄	—	2	1	no	—
628	C₁₃×C₄⋊C₄	—	2	1	no	—
629	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₄²×C₁₃	—	2	1	no	—
663	C₄²×C₁₃	—	2	1	no	—
664	C₄²×C₁₃	—	2	1	no	—
665	C₄²×C₁₃	—	2	1	no	—
666	C₄²×C₁₃	—	2	1	no	—
667	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
669	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
670	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
671	C₂²⋊Dic₁₃	—	2	1	no	—
672	C₂²⋊Dic₁₃	—	2	1	no	—
673	C₂²⋊Dic₁₃	—	2	1	no	—
674	C₂²⋊Dic₁₃	—	2	1	no	—
675	C₂²⋊Dic₁₃	—	2	1	no	—
676	#6107	—	2	2	no	—
677	#6107	—	2	2	no	—
678	#6107	—	2	2	no	—
679	#6107	—	4	1	no	—
680	#6107	—	4	1	no	—
681	#6107	—	4	1	no	—
682	#6107	—	4	1	no	—
683	#6107	—	4	1	no	—
684	#6107	—	4	1	no	—
685	#6106	—	2	2	no	—
686	#6106	—	2	2	no	—
687	#6106	—	2	2	no	—
688	#6106	—	4	1	no	—
689	#6106	—	4	1	no	—
690	#6106	—	4	1	no	—
691	#6106	—	4	1	no	—
692	#6106	—	4	1	no	—
693	#6106	—	4	1	no	—
694	#6105	—	2	2	no	—
695	#6105	—	4	1	no	—
696	#6105	—	4	1	no	—
697	#6104	—	2	2	no	—
698	#6104	—	4	1	no	—
699	#6104	—	4	1	no	—
700	#6103	—	2	1	no	—
701	#6103	—	2	1	no	—
702	#6103	—	2	1	no	—
703	#6103	—	2	1	no	—
704	#6103	—	2	1	no	—
705	#6103	—	2	1	no	—
706	#6103	—	2	1	no	—
707	#6103	—	2	1	no	—
708	#6103	—	2	1	no	—
709	#6103	—	2	1	no	—
710	C₄⋊Dic₁₃	—	2	1	no	—
711	C₄⋊Dic₁₃	—	2	1	no	—
712	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	—	2	1	no	—
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	#6099	—	4	1	no	—
724	#6099	—	4	1	no	—
725	#6099	—	4	1	no	—
726	#6099	—	4	1	no	—
727	C₂×#1055	—	4	1	no	—
728	C₂×#1055	—	4	1	no	—
729	C₂×#1055	—	4	1	no	—
730	C₂×#1055	—	4	1	no	—
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	C₂×#1055	C₂⁴	1	1	yes	characteristic
736	C₂×#1055	C₂⁴	1	1	yes	characteristic
737	C₂×#1055	C₂⁴	1	1	yes	characteristic
738	C₂×#1055	C₂⁴	1	1	yes	characteristic
739	#3520	D₁₃	1	1	yes	characteristic, complemented
740	D₄×#41	—	13	1	no	—
741	#3317	—	13	1	no	—
742	#3315	—	13	1	no	—
743	#3313	—	13	1	no	—
744	#3312	—	13	1	no	—
745	#3311	—	13	1	no	—
746	#3310	—	13	1	no	—
747	#3308	—	13	1	no	—
748	#3306	—	13	1	no	—
749	#3271	—	13	1	no	—
750	#3270	—	13	1	no	—
751	#3270	—	13	1	no	—
752	#3269	—	13	1	no	—
753	#3269	—	13	1	no	—
754	#3267	—	13	1	no	—
755	#3266	—	13	1	no	—
756	#3265	—	13	1	no	—
757	#3219	—	13	1	no	—
758	#3216	—	13	1	no	—
759	#3197	—	13	1	no	—
760	#3196	—	13	1	no	—
761	#3191	—	13	1	no	—
762	#3190	—	13	1	no	—
763	#3116	—	13	1	no	—
764	#3111	—	13	1	no	—
765	#3007	—	13	1	no	—
766	#3005	—	13	1	no	—
767	#3002	—	13	1	no	—
768	C₂×#452	—	13	1	no	—
769	#2973	—	13	1	no	—
770	C₂³×C₁₃	—	2	2	no	—
771	C₂³×C₁₃	—	2	1	no	—
772	C₂³×C₁₃	—	4	1	no	—
773	C₂³×C₁₃	—	4	1	no	—
774	C₂³×C₁₃	—	4	1	no	—
775	C₂³×C₁₃	—	4	1	no	—
776	C₂³×C₁₃	—	4	1	no	—
777	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂²×D₁₃	—	2	1	no	—
783	C₂²×D₁₃	—	2	1	no	—
784	C₂²×D₁₃	—	2	1	no	—
785	C₂²×D₁₃	—	4	2	no	—
786	C₂²×D₁₃	—	4	2	no	—
787	C₂²×D₁₃	—	4	2	no	—
788	C₂²×D₁₃	—	4	2	no	—
789	C₂²×D₁₃	—	8	1	no	—
790	C₂²×D₁₃	—	8	1	no	—
791	Q₈×C₁₃	—	2	1	no	—
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	2	1	no	—
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	4	2	no	—
798	Q₈×C₁₃	—	8	1	no	—
799	Q₈×C₁₃	—	8	1	no	—
800	D₄×C₁₃	—	2	2	no	—
801	D₄×C₁₃	—	2	2	no	—
802	D₄×C₁₃	—	2	1	no	—
803	D₄×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	4	1	no	—
805	D₄×C₁₃	—	4	1	no	—
806	D₄×C₁₃	—	4	2	no	—
807	D₄×C₁₃	—	4	2	no	—
808	D₄×C₁₃	—	4	2	no	—
809	D₄×C₁₃	—	8	1	no	—
810	D₄×C₁₃	—	8	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	4	1	no	—
829	C₂×C₄×C₁₃	—	4	1	no	—
830	C₂×C₄×C₁₃	—	4	1	no	—
831	C₂×C₄×C₁₃	—	4	1	no	—
832	C₂×C₄×C₁₃	—	4	1	no	—
833	C₂×C₄×C₁₃	—	4	1	no	—
834	C₂×C₄×C₁₃	—	4	1	no	—
835	C₂×C₄×C₁₃	—	4	1	no	—
836	C₂×C₄×C₁₃	—	4	2	no	—
837	C₂×C₄×C₁₃	—	4	2	no	—
838	C₂×C₄×C₁₃	—	4	2	no	—
839	C₂×C₄×C₁₃	—	8	1	no	—
840	C₂×C₄×C₁₃	—	8	1	no	—
841	C₂×C₄×C₁₃	—	8	1	no	—
842	C₂×C₄×C₁₃	—	8	1	no	—
843	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
849	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
851	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
852	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
853	C₂²⋊D₁₃	—	2	4	no	—
854	C₂²⋊D₁₃	—	4	2	no	—
855	C₂²⋊D₁₃	—	4	2	no	—
856	C₂²⋊D₁₃	—	4	2	no	—
857	C₂²⋊D₁₃	—	4	2	no	—
858	C₂²⋊D₁₃	—	4	2	no	—
859	C₂²⋊D₁₃	—	4	2	no	—
860	C₂²⋊D₁₃	—	4	2	no	—
861	C₂²⋊D₁₃	—	4	2	no	—
862	C₂²⋊D₁₃	—	8	1	no	—
863	C₂²⋊D₁₃	—	8	1	no	—
864	C₂×Dic₁₃	—	2	1	no	—
865	C₂×Dic₁₃	—	2	1	no	—
866	C₂×Dic₁₃	—	2	1	no	—
867	C₂×Dic₁₃	—	2	1	no	—
868	C₂×Dic₁₃	—	2	1	no	—
869	C₂×Dic₁₃	—	4	2	no	—
870	C₂×Dic₁₃	—	4	2	no	—
871	D₅₂	—	2	1	no	—
872	D₅₂	—	2	1	no	—
873	D₅₂	—	2	1	no	—
874	D₅₂	—	2	1	no	—
875	D₅₂	—	2	1	no	—
876	D₅₂	—	4	2	no	—
877	D₅₂	—	4	2	no	—
878	D₅₂	—	4	2	no	—
879	D₅₂	—	8	1	no	—
880	D₅₂	H(5,𝔽₂)	1	2	yes	—
881	C₄×D₁₃	—	2	4	no	—
882	C₄×D₁₃	—	4	2	no	—
883	C₄×D₁₃	—	4	2	no	—
884	C₄×D₁₃	—	4	2	no	—
885	C₄×D₁₃	—	4	2	no	—
886	C₄×D₁₃	—	4	2	no	—
887	C₄×D₁₃	—	4	2	no	—
888	C₄×D₁₃	—	4	2	no	—
889	C₄×D₁₃	—	8	1	no	—
890	Dic₂₆	—	2	1	no	—
891	Dic₂₆	—	2	1	no	—
892	Dic₂₆	—	2	1	no	—
893	Dic₂₆	—	2	1	no	—
894	Dic₂₆	—	2	1	no	—
895	Dic₂₆	—	4	2	no	—
896	Dic₂₆	—	4	2	no	—
897	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
898	#1055	—	2	1	no	—
899	#1055	—	2	1	no	—
900	#1055	—	2	1	no	—
901	#1055	—	2	1	no	—
902	#1055	—	2	1	no	—
903	#1055	—	2	1	no	—
904	#1055	—	2	1	no	—
905	#1055	—	2	1	no	—
906	C₂²×#41	—	13	1	no	—
907	C₂²×#41	—	13	1	no	—
908	C₂×#137	—	13	1	no	—
909	C₂×#137	—	13	1	no	—
910	C₂×#137	—	13	1	no	—
911	C₂×AGL(1,ℤ/8)	—	13	1	no	—
912	C₂×#135	—	13	1	no	—
913	C₂×#135	—	13	1	no	—
914	C₂²×Q₁₆	—	13	1	no	—
915	C₂²×SD₁₆	—	13	1	no	—
916	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
917	#554	—	2	1	no	—
918	#552	C₂×D₁₃	1	1	yes	characteristic
919	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
920	#551	—	2	1	no	—
921	#551	—	2	1	no	—
922	#550	—	13	1	no	—
923	D₄×Q₈	—	13	1	no	—
924	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
925	#548	—	13	1	no	—
926	#548	—	13	1	no	—
927	#548	C₂×D₁₃	1	1	yes	characteristic
928	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
929	#547	—	13	1	no	—
930	#547	—	26	1	no	—
931	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
933	#546	—	2	1	no	—
934	#546	—	13	1	no	—
935	#546	—	13	1	no	—
936	#546	—	26	1	no	—
937	#546	—	26	1	no	—
938	D₄²	—	13	1	no	—
939	D₄²	—	26	1	no	—
940	#542	—	2	1	no	—
941	#539	—	2	1	no	—
942	#539	—	2	1	no	—
943	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
944	#532	—	13	1	no	—
945	#532	—	26	1	no	—
946	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
947	#525	—	13	1	no	—
948	#525	—	13	1	no	—
949	#525	—	26	1	no	—
950	#525	—	26	1	no	—
951	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
952	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
953	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
954	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
955	#520	—	2	1	no	—
956	C₄×#41	—	13	1	no	—
957	C₂×C₄×D₄	—	26	1	no	—
958	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
959	#497	—	13	1	no	—
960	#497	—	13	1	no	—
961	#497	—	13	1	no	—
962	#496	—	13	1	no	—
963	#491	—	13	1	no	—
964	#490	—	13	1	no	—
965	#489	—	13	1	no	—
966	#489	—	13	1	no	—
967	#485	—	13	1	no	—
968	#485	—	13	1	no	—
969	#485	—	13	1	no	—
970	#485	—	13	1	no	—
971	#485	—	13	1	no	—
972	#484	—	13	1	no	—
973	#483	—	13	1	no	—
974	#482	—	13	1	no	—
975	#482	—	13	1	no	—
976	#482	—	13	1	no	—
977	#481	—	13	1	no	—
978	#480	—	13	1	no	—
979	#479	—	13	1	no	—
980	#478	—	13	1	no	—
981	#477	—	13	1	no	—
982	#476	—	13	1	no	—
983	#470	—	13	1	no	—
984	#470	—	13	1	no	—
985	#470	—	13	1	no	—
986	#469	—	13	1	no	—
987	#468	—	13	1	no	—
988	#468	—	13	1	no	—
989	#468	—	13	1	no	—
990	#468	—	13	1	no	—
991	#467	—	13	1	no	—
992	#467	—	13	1	no	—
993	#467	—	13	1	no	—
994	#466	—	13	1	no	—
995	#465	—	13	1	no	—
996	#465	—	13	1	no	—
997	#465	—	13	1	no	—
998	#465	—	13	1	no	—
999	#464	—	13	1	no	—
1000	#464	—	13	1	no	—
1001	#464	—	13	1	no	—
1002	#463	—	13	1	no	—
1003	#463	—	13	1	no	—
1004	#463	—	13	1	no	—
1005	#462	—	13	1	no	—
1006	#462	—	13	1	no	—
1007	#462	—	13	1	no	—
1008	#461	—	13	1	no	—
1009	#460	—	13	1	no	—
1010	#460	—	13	1	no	—
1011	#452	—	13	1	no	—
1012	#452	—	13	1	no	—
1013	#452	—	13	1	no	—
1014	#452	—	13	1	no	—
1015	#452	—	13	1	no	—
1016	#452	—	13	1	no	—
1017	#452	—	13	1	no	—
1018	#452	—	13	1	no	—
1019	#452	—	13	1	no	—
1020	#452	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#452	—	13	1	no	—
1024	#452	—	13	1	no	—
1025	#452	—	13	1	no	—
1026	#452	—	13	1	no	—
1027	#452	—	13	1	no	—
1028	#451	—	13	1	no	—
1029	#451	—	13	1	no	—
1030	#451	—	13	1	no	—
1031	#451	—	13	1	no	—
1032	#451	—	13	1	no	—
1033	#450	—	13	1	no	—
1034	#450	—	13	1	no	—
1035	#450	—	13	1	no	—
1036	#449	—	13	1	no	—
1037	#449	—	13	1	no	—
1038	#449	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#449	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#448	—	13	1	no	—
1044	#448	—	13	1	no	—
1045	#448	—	13	1	no	—
1046	#447	—	13	1	no	—
1047	#442	—	13	1	no	—
1048	#441	—	13	1	no	—
1049	#441	—	13	1	no	—
1050	#441	—	13	1	no	—
1051	#440	—	13	1	no	—
1052	#440	—	13	1	no	—
1053	#440	—	13	1	no	—
1054	#440	—	13	1	no	—
1055	#435	—	13	1	no	—
1056	#435	—	13	1	no	—
1057	#435	—	13	1	no	—
1058	#435	—	13	1	no	—
1059	#435	—	13	1	no	—
1060	#435	—	13	1	no	—
1061	#435	—	13	1	no	—
1062	#435	—	13	1	no	—
1063	#432	—	13	1	no	—
1064	#432	—	13	1	no	—
1065	#419	—	13	1	no	—
1066	#418	—	13	1	no	—
1067	#417	—	13	1	no	—
1068	#417	—	13	1	no	—
1069	#416	—	13	1	no	—
1070	#416	—	13	1	no	—
1071	C₂×#103	—	13	1	no	—
1072	C₂×#102	—	13	1	no	—
1073	#407	—	13	1	no	—
1074	#407	—	13	1	no	—
1075	C₂×C₂²⋊C₈	—	13	1	no	—
1076	C₂×C₂²⋊C₈	—	13	1	no	—
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	1	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	2	1	no	—
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	4	1	no	—
1092	C₂²×C₁₃	—	4	1	no	—
1093	C₂²×C₁₃	—	4	1	no	—
1094	C₂²×C₁₃	—	8	2	no	—
1095	C₂²×C₁₃	—	8	2	no	—
1096	C₂²×C₁₃	#575	1	2	yes	—
1097	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1098	C₂×D₁₃	—	2	2	no	—
1099	C₂×D₁₃	—	4	1	no	—
1100	C₂×D₁₃	—	4	1	no	—
1101	C₂×D₁₃	—	4	1	no	—
1102	C₂×D₁₃	—	4	1	no	—
1103	C₂×D₁₃	—	4	1	no	—
1104	C₂×D₁₃	—	4	1	no	—
1105	C₂×D₁₃	—	4	1	no	—
1106	C₂×D₁₃	—	4	1	no	—
1107	C₂×D₁₃	—	8	4	no	—
1108	C₂×D₁₃	—	8	4	no	—
1109	C₄×C₁₃	—	2	1	no	—
1110	C₄×C₁₃	—	2	1	no	—
1111	C₄×C₁₃	—	2	1	no	—
1112	C₄×C₁₃	—	2	1	no	—
1113	C₄×C₁₃	—	2	1	no	—
1114	C₄×C₁₃	—	2	1	no	—
1115	C₄×C₁₃	—	2	1	no	—
1116	C₄×C₁₃	—	2	1	no	—
1117	C₄×C₁₃	—	2	1	no	—
1118	C₄×C₁₃	—	4	1	no	—
1119	C₄×C₁₃	—	4	1	no	—
1120	C₄×C₁₃	—	4	1	no	—
1121	C₄×C₁₃	—	4	1	no	—
1122	C₄×C₁₃	—	4	1	no	—
1123	C₄×C₁₃	—	4	1	no	—
1124	C₄×C₁₃	—	4	1	no	—
1125	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1126	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1127	Dic₁₃	—	2	2	no	—
1128	Dic₁₃	—	4	1	no	—
1129	Dic₁₃	—	4	1	no	—
1130	Dic₁₃	—	4	1	no	—
1131	Dic₁₃	—	4	1	no	—
1132	C₂×#41	—	2	1	no	—
1133	C₂×#41	—	13	1	no	—
1134	C₂×#41	—	13	1	no	—
1135	C₂×#41	—	13	1	no	—
1136	C₂×#41	—	13	1	no	—
1137	C₂×#41	—	13	1	no	—
1138	C₂×#41	—	13	1	no	—
1139	C₂×#41	—	13	1	no	—
1140	C₂×#41	—	26	1	no	—
1141	C₂×#41	—	26	1	no	—
1142	C₂×#41	—	26	1	no	—
1143	C₂×#41	—	26	1	no	—
1144	C₂×#41	—	52	2	no	—
1145	C₂×#41	—	52	2	no	—
1146	C₂×#41	—	52	2	no	—
1147	C₂×#41	—	52	2	no	—
1148	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1150	C₂²×Q₈	—	13	1	no	—
1151	C₂²×Q₈	—	13	1	no	—
1152	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂²×D₄	—	13	1	no	—
1155	C₂²×D₄	—	13	1	no	—
1156	C₂²×D₄	—	26	1	no	—
1157	C₂²×D₄	—	26	1	no	—
1158	C₂²×D₄	—	26	1	no	—
1159	C₂²×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1160	C₂³×C₄	—	26	1	no	—
1161	C₂³×C₄	—	26	1	no	—
1162	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1164	#137	—	52	2	no	—
1165	#137	—	52	2	no	—
1166	#137	—	52	2	no	—
1167	AGL(1,ℤ/8)	—	52	2	no	—
1168	#135	—	52	2	no	—
1169	#135	—	52	2	no	—
1170	C₂×Q₁₆	—	13	1	no	—
1171	C₂×Q₁₆	—	13	1	no	—
1172	C₂×Q₁₆	—	13	1	no	—
1173	C₂×Q₁₆	—	13	1	no	—
1174	C₂×Q₁₆	—	13	1	no	—
1175	C₂×Q₁₆	—	13	1	no	—
1176	C₂×Q₁₆	—	13	1	no	—
1177	C₂×Q₁₆	—	13	1	no	—
1178	C₂×Q₁₆	—	13	1	no	—
1179	C₂×Q₁₆	—	52	2	no	—
1180	C₂×SD₁₆	—	13	1	no	—
1181	C₂×SD₁₆	—	13	1	no	—
1182	C₂×SD₁₆	—	13	1	no	—
1183	C₂×SD₁₆	—	13	1	no	—
1184	C₂×SD₁₆	—	13	1	no	—
1185	C₂×SD₁₆	—	13	1	no	—
1186	C₂×SD₁₆	—	13	1	no	—
1187	C₂×SD₁₆	—	13	1	no	—
1188	C₂×SD₁₆	—	13	1	no	—
1189	C₂×SD₁₆	—	13	1	no	—
1190	C₂×SD₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	52	2	no	—
1193	C₂×D₈	—	13	1	no	—
1194	C₂×D₈	—	13	1	no	—
1195	C₂×D₈	—	13	1	no	—
1196	C₂×M₁₆	—	13	1	no	—
1197	C₂×M₁₆	—	13	1	no	—
1198	C₂×M₁₆	—	13	1	no	—
1199	C₂×M₁₆	—	13	1	no	—
1200	C₂²×C₈	—	13	1	no	—
1201	C₂²×C₈	—	13	1	no	—
1202	C₂²×C₈	—	13	1	no	—
1203	C₂²×C₈	—	13	1	no	—
1204	C₄⋊Q₈	—	2	1	no	—
1205	C₄⋊Q₈	—	13	1	no	—
1206	C₄⋊Q₈	—	26	1	no	—
1207	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1208	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1209	#127	—	13	1	no	—
1210	#127	—	26	1	no	—
1211	#126	—	2	1	no	—
1212	#126	—	2	1	no	—
1213	#126	—	2	1	no	—
1214	#126	—	2	1	no	—
1215	#126	—	2	1	no	—
1216	#125	—	2	1	no	—
1217	#125	—	2	1	no	—
1218	#125	—	2	1	no	—
1219	#125	C₂²×D₁₃	1	1	yes	characteristic
1220	#124	—	2	1	no	—
1221	#124	—	2	1	no	—
1222	#124	—	2	1	no	—
1223	#124	—	13	1	no	—
1224	#124	—	13	1	no	—
1225	#124	—	26	1	no	—
1226	#124	—	26	1	no	—
1227	#124	C₂²×D₁₃	1	1	yes	characteristic
1228	#123	—	2	1	no	—
1229	#123	—	2	1	no	—
1230	#123	—	2	1	no	—
1231	#123	—	2	1	no	—
1232	#123	—	2	1	no	—
1233	#123	—	2	1	no	—
1234	#123	—	2	1	no	—
1235	#123	—	2	1	no	—
1236	#123	—	2	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	—	2	1	no	—
1245	C₂²⋊Q₈	—	2	1	no	—
1246	C₂²⋊Q₈	—	2	1	no	—
1247	C₂²⋊Q₈	—	2	1	no	—
1248	C₂²⋊Q₈	—	2	1	no	—
1249	C₂²⋊Q₈	—	2	1	no	—
1250	C₂²⋊Q₈	—	2	1	no	—
1251	C₂²⋊Q₈	—	2	1	no	—
1252	C₂²⋊Q₈	—	2	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	13	1	no	—
1256	C₂²⋊Q₈	—	13	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1262	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1263	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1264	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1265	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1270	#121	—	2	1	no	—
1271	#121	—	2	1	no	—
1272	#121	—	2	1	no	—
1273	#121	—	13	1	no	—
1274	#121	—	13	1	no	—
1275	#121	—	13	1	no	—
1276	#121	—	13	1	no	—
1277	#121	—	26	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	C₂²×D₁₃	1	1	yes	characteristic
1288	#121	C₂²×D₁₃	1	1	yes	characteristic
1289	#121	C₂²×D₁₃	1	1	yes	characteristic
1290	#120	—	2	1	no	—
1291	#120	—	2	1	no	—
1292	#120	—	26	1	no	—
1293	#120	—	26	1	no	—
1294	#120	—	26	1	no	—
1295	#120	—	26	1	no	—
1296	#120	—	26	1	no	—
1297	#120	—	26	1	no	—
1298	C₄×Q₈	—	2	1	no	—
1299	C₄×Q₈	—	2	1	no	—
1300	C₄×Q₈	—	13	1	no	—
1301	C₄×Q₈	—	13	1	no	—
1302	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1303	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1304	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1305	C₄×D₄	—	2	1	no	—
1306	C₄×D₄	—	2	1	no	—
1307	C₄×D₄	—	2	1	no	—
1308	C₄×D₄	—	2	1	no	—
1309	C₄×D₄	—	2	1	no	—
1310	C₄×D₄	—	2	1	no	—
1311	C₄×D₄	—	2	1	no	—
1312	C₄×D₄	—	2	1	no	—
1313	C₄×D₄	—	13	1	no	—
1314	C₄×D₄	—	13	1	no	—
1315	C₄×D₄	—	26	1	no	—
1316	C₄×D₄	—	26	1	no	—
1317	C₄×D₄	—	26	1	no	—
1318	C₄×D₄	—	26	1	no	—
1319	C₄×D₄	—	26	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1328	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1329	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1330	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1331	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1332	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1333	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1334	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1335	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1336	#117	—	2	1	no	—
1337	#117	—	2	1	no	—
1338	#117	—	2	1	no	—
1339	#117	—	2	1	no	—
1340	#117	—	13	1	no	—
1341	#117	—	26	1	no	—
1342	#117	C₂²×D₁₃	1	1	yes	characteristic
1343	#117	C₂²×D₁₃	1	1	yes	characteristic
1344	C₂×C₄⋊C₄	—	2	1	no	—
1345	C₂×C₄⋊C₄	—	2	1	no	—
1346	C₂×C₄⋊C₄	—	2	1	no	—
1347	C₂×C₄⋊C₄	—	26	1	no	—
1348	C₂×C₄⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1349	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1350	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1351	C₂×C₂²⋊C₄	—	2	1	no	—
1352	C₂×C₂²⋊C₄	—	2	1	no	—
1353	C₂×C₂²⋊C₄	—	26	1	no	—
1354	C₂×C₂²⋊C₄	—	26	1	no	—
1355	C₂×C₂²⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1356	C₂×C₂²⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1357	C₂×C₄²	—	26	1	no	—
1358	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1359	#107	—	13	1	no	—
1360	#107	—	13	1	no	—
1361	#107	—	13	1	no	—
1362	#107	—	13	1	no	—
1363	#106	—	13	1	no	—
1364	#106	—	13	1	no	—
1365	#106	—	13	1	no	—
1366	#106	—	13	1	no	—
1367	C₄⋊C₈	—	13	1	no	—
1368	C₄⋊C₈	—	13	1	no	—
1369	C₄⋊C₈	—	13	1	no	—
1370	C₄⋊C₈	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	—	13	1	no	—
1383	#103	—	13	1	no	—
1384	#103	—	13	1	no	—
1385	#103	—	13	1	no	—
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#102	—	13	1	no	—
1390	#102	—	13	1	no	—
1391	#102	—	13	1	no	—
1392	#102	—	13	1	no	—
1393	#102	—	13	1	no	—
1394	#102	—	13	1	no	—
1395	#102	—	13	1	no	—
1396	#102	—	13	1	no	—
1397	#102	—	13	1	no	—
1398	#102	—	13	1	no	—
1399	#102	—	13	1	no	—
1400	#102	—	13	1	no	—
1401	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	C₂²⋊C₈	—	13	1	no	—
1404	C₂²⋊C₈	—	13	1	no	—
1405	C₂²⋊C₈	—	13	1	no	—
1406	C₂²⋊C₈	—	13	1	no	—
1407	C₂²⋊C₈	—	13	1	no	—
1408	C₂²⋊C₈	—	13	1	no	—
1409	C₂²⋊C₈	—	13	1	no	—
1410	C₂²⋊C₈	—	13	1	no	—
1411	C₂²⋊C₈	—	13	1	no	—
1412	C₂²⋊C₈	—	13	1	no	—
1413	C₂²⋊C₈	—	13	1	no	—
1414	C₂²⋊C₈	—	13	1	no	—
1415	#97	—	13	1	no	—
1416	#97	—	13	1	no	—
1417	#97	—	13	1	no	—
1418	#97	—	13	1	no	—
1419	C₂×C₁₃	—	2	2	no	—
1420	C₂×C₁₃	—	4	1	no	—
1421	C₂×C₁₃	—	4	1	no	—
1422	C₂×C₁₃	—	4	1	no	—
1423	C₂×C₁₃	—	4	1	no	—
1424	C₂×C₁₃	—	8	1	no	—
1425	C₂×C₁₃	#3484	1	1	yes	characteristic
1426	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1427	C₂×C₁₃	#3586	1	1	yes	characteristic
1428	D₁₃	—	4	2	no	—
1429	D₁₃	—	8	1	no	—
1430	D₁₃	—	8	1	no	—
1431	C₂⁴	—	26	1	no	—
1432	C₂⁴	—	26	1	no	—
1433	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1434	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1435	#41	—	4	1	no	—
1436	#41	—	4	1	no	—
1437	#41	—	4	1	no	—
1438	#41	—	4	1	no	—
1439	#41	—	4	4	no	—
1440	#41	—	26	2	no	—
1441	#41	—	26	2	no	—
1442	#41	—	26	2	no	—
1443	#41	—	26	2	no	—
1444	#41	—	26	2	no	—
1445	#41	—	26	2	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	1	no	—
1448	#41	—	52	1	no	—
1449	#41	—	52	1	no	—
1450	#41	—	52	1	no	—
1451	#41	—	52	1	no	—
1452	#41	—	52	1	no	—
1453	#41	—	52	1	no	—
1454	#41	—	52	4	no	—
1455	#41	—	52	4	no	—
1456	#41	—	52	4	no	—
1457	#41	—	52	4	no	—
1458	C₂×Q₈	—	2	1	no	—
1459	C₂×Q₈	—	2	1	no	—
1460	C₂×Q₈	—	2	1	no	—
1461	C₂×Q₈	—	4	1	no	—
1462	C₂×Q₈	—	4	1	no	—
1463	C₂×Q₈	—	4	1	no	—
1464	C₂×Q₈	—	4	1	no	—
1465	C₂×Q₈	—	13	1	no	—
1466	C₂×Q₈	—	13	1	no	—
1467	C₂×Q₈	—	13	1	no	—
1468	C₂×Q₈	—	26	2	no	—
1469	C₂×Q₈	—	26	2	no	—
1470	C₂×Q₈	—	26	1	no	—
1471	C₂×Q₈	—	26	1	no	—
1472	C₂×Q₈	—	52	1	no	—
1473	C₂×Q₈	—	52	1	no	—
1474	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1475	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1476	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	4	2	no	—
1483	C₂×D₄	—	13	1	no	—
1484	C₂×D₄	—	13	1	no	—
1485	C₂×D₄	—	13	1	no	—
1486	C₂×D₄	—	26	2	no	—
1487	C₂×D₄	—	26	2	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	1	no	—
1490	C₂×D₄	—	26	1	no	—
1491	C₂×D₄	—	26	1	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	1	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	26	1	no	—
1500	C₂×D₄	—	26	1	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	52	1	no	—
1504	C₂×D₄	—	52	1	no	—
1505	C₂×D₄	—	52	4	no	—
1506	C₂×D₄	—	52	4	no	—
1507	C₂×D₄	—	52	4	no	—
1508	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1509	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1510	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1511	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1512	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	2	1	no	—
1520	C₂²×C₄	—	4	1	no	—
1521	C₂²×C₄	—	4	1	no	—
1522	C₂²×C₄	—	4	1	no	—
1523	C₂²×C₄	—	4	1	no	—
1524	C₂²×C₄	—	26	1	no	—
1525	C₂²×C₄	—	26	1	no	—
1526	C₂²×C₄	—	26	1	no	—
1527	C₂²×C₄	—	26	1	no	—
1528	C₂²×C₄	—	26	1	no	—
1529	C₂²×C₄	—	26	1	no	—
1530	C₂²×C₄	—	26	1	no	—
1531	C₂²×C₄	—	26	1	no	—
1532	C₂²×C₄	—	26	1	no	—
1533	C₂²×C₄	—	26	1	no	—
1534	C₂²×C₄	—	26	1	no	—
1535	C₂²×C₄	—	52	4	no	—
1536	C₂²×C₄	—	52	4	no	—
1537	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1538	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1539	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1540	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1541	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1542	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1543	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1544	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1545	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1546	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1547	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1548	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1550	Q₁₆	—	26	2	no	—
1551	Q₁₆	—	26	2	no	—
1552	Q₁₆	—	26	2	no	—
1553	Q₁₆	—	52	1	no	—
1554	Q₁₆	—	52	1	no	—
1555	Q₁₆	—	52	1	no	—
1556	Q₁₆	—	52	1	no	—
1557	Q₁₆	—	52	1	no	—
1558	Q₁₆	—	52	1	no	—
1559	SD₁₆	—	26	2	no	—
1560	SD₁₆	—	26	2	no	—
1561	SD₁₆	—	26	2	no	—
1562	SD₁₆	—	26	2	no	—
1563	SD₁₆	—	52	1	no	—
1564	SD₁₆	—	52	1	no	—
1565	SD₁₆	—	52	1	no	—
1566	SD₁₆	—	52	1	no	—
1567	SD₁₆	—	52	1	no	—
1568	SD₁₆	—	52	1	no	—
1569	SD₁₆	—	52	1	no	—
1570	SD₁₆	—	52	1	no	—
1571	D₈	—	26	2	no	—
1572	D₈	—	52	1	no	—
1573	D₈	—	52	1	no	—
1574	M₁₆	—	52	1	no	—
1575	M₁₆	—	52	1	no	—
1576	M₁₆	—	52	1	no	—
1577	M₁₆	—	52	1	no	—
1578	C₂×C₈	—	13	1	no	—
1579	C₂×C₈	—	13	1	no	—
1580	C₂×C₈	—	13	1	no	—
1581	C₂×C₈	—	13	1	no	—
1582	C₂×C₈	—	13	1	no	—
1583	C₂×C₈	—	13	1	no	—
1584	C₂×C₈	—	13	1	no	—
1585	C₂×C₈	—	13	1	no	—
1586	C₂×C₈	—	52	1	no	—
1587	C₂×C₈	—	52	1	no	—
1588	C₂×C₈	—	52	1	no	—
1589	C₂×C₈	—	52	1	no	—
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	2	1	no	—
1597	C₄⋊C₄	—	2	1	no	—
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	2	1	no	—
1607	C₄⋊C₄	—	2	1	no	—
1608	C₄⋊C₄	—	2	1	no	—
1609	C₄⋊C₄	—	13	1	no	—
1610	C₄⋊C₄	—	13	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	—	26	1	no	—
1614	C₄⋊C₄	—	26	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	—	26	1	no	—
1619	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1620	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1621	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1622	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1623	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1624	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1625	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1626	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1660	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1661	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1662	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1663	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1664	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1665	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1666	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1667	C₄²	—	2	1	no	—
1668	C₄²	—	2	1	no	—
1669	C₄²	—	2	1	no	—
1670	C₄²	—	2	1	no	—
1671	C₄²	—	2	1	no	—
1672	C₄²	—	26	1	no	—
1673	C₄²	—	26	1	no	—
1674	C₄²	—	26	1	no	—
1675	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1676	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1677	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1678	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1679	C₁₃	#61580	1	1	yes	characteristic, complemented, Sylow
1680	C₂³	—	2	2	no	—
1681	C₂³	—	2	1	no	—
1682	C₂³	—	4	1	no	—
1683	C₂³	—	4	1	no	—
1684	C₂³	—	4	1	no	—
1685	C₂³	—	4	1	no	—
1686	C₂³	—	4	1	no	—
1687	C₂³	—	26	1	no	—
1688	C₂³	—	26	1	no	—
1689	C₂³	—	26	1	no	—
1690	C₂³	—	52	2	no	—
1691	C₂³	—	52	2	no	—
1692	C₂³	—	52	2	no	—
1693	C₂³	—	52	2	no	—
1694	C₂³	—	104	1	no	—
1695	C₂³	—	104	1	no	—
1696	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1697	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1698	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1699	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1700	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	4	2	no	—
1708	Q₈	—	8	1	no	—
1709	Q₈	—	8	1	no	—
1710	Q₈	—	13	2	no	—
1711	Q₈	—	26	1	no	—
1712	Q₈	—	26	1	no	—
1713	Q₈	—	26	1	no	—
1714	Q₈	—	26	1	no	—
1715	Q₈	—	26	1	no	—
1716	Q₈	—	52	2	no	—
1717	Q₈	—	52	2	no	—
1718	D₄	—	2	2	no	—
1719	D₄	—	2	2	no	—
1720	D₄	—	2	1	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	4	1	no	—
1723	D₄	—	4	1	no	—
1724	D₄	—	4	2	no	—
1725	D₄	—	4	2	no	—
1726	D₄	—	4	2	no	—
1727	D₄	—	8	1	no	—
1728	D₄	—	8	1	no	—
1729	D₄	—	13	2	no	—
1730	D₄	—	26	4	no	—
1731	D₄	—	26	1	no	—
1732	D₄	—	26	1	no	—
1733	D₄	—	26	1	no	—
1734	D₄	—	26	1	no	—
1735	D₄	—	26	1	no	—
1736	D₄	—	52	2	no	—
1737	D₄	—	52	2	no	—
1738	D₄	—	52	2	no	—
1739	D₄	—	52	2	no	—
1740	D₄	—	52	2	no	—
1741	D₄	—	52	2	no	—
1742	D₄	—	52	2	no	—
1743	D₄	—	52	2	no	—
1744	D₄	—	52	2	no	—
1745	D₄	—	52	2	no	—
1746	D₄	—	52	2	no	—
1747	D₄	—	104	1	no	—
1748	D₄	—	104	1	no	—
1749	D₄	—	104	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	4	1	no	—
1768	C₂×C₄	—	4	1	no	—
1769	C₂×C₄	—	4	1	no	—
1770	C₂×C₄	—	4	1	no	—
1771	C₂×C₄	—	4	1	no	—
1772	C₂×C₄	—	4	1	no	—
1773	C₂×C₄	—	4	1	no	—
1774	C₂×C₄	—	4	1	no	—
1775	C₂×C₄	—	4	2	no	—
1776	C₂×C₄	—	4	2	no	—
1777	C₂×C₄	—	4	2	no	—
1778	C₂×C₄	—	8	1	no	—
1779	C₂×C₄	—	8	1	no	—
1780	C₂×C₄	—	8	1	no	—
1781	C₂×C₄	—	8	1	no	—
1782	C₂×C₄	—	26	4	no	—
1783	C₂×C₄	—	26	1	no	—
1784	C₂×C₄	—	26	1	no	—
1785	C₂×C₄	—	26	1	no	—
1786	C₂×C₄	—	26	1	no	—
1787	C₂×C₄	—	26	1	no	—
1788	C₂×C₄	—	52	2	no	—
1789	C₂×C₄	—	52	2	no	—
1790	C₂×C₄	—	52	2	no	—
1791	C₂×C₄	—	52	2	no	—
1792	C₂×C₄	—	52	2	no	—
1793	C₂×C₄	—	52	2	no	—
1794	C₂×C₄	—	52	2	no	—
1795	C₂×C₄	—	52	2	no	—
1796	C₂×C₄	—	52	2	no	—
1797	C₂×C₄	—	104	1	no	—
1798	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1799	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1800	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1801	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1802	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1803	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1804	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1805	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1806	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1807	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1808	C₈	—	26	1	no	—
1809	C₈	—	26	1	no	—
1810	C₈	—	26	1	no	—
1811	C₈	—	26	1	no	—
1812	C₈	—	26	1	no	—
1813	C₈	—	26	1	no	—
1814	C₈	—	26	1	no	—
1815	C₈	—	26	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	1	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	8	2	no	—
1834	C₂²	—	8	2	no	—
1835	C₂²	—	26	2	no	—
1836	C₂²	—	52	1	no	—
1837	C₂²	—	52	1	no	—
1838	C₂²	—	52	1	no	—
1839	C₂²	—	52	1	no	—
1840	C₂²	—	52	1	no	—
1841	C₂²	—	52	1	no	—
1842	C₂²	—	52	1	no	—
1843	C₂²	—	52	1	no	—
1844	C₂²	—	104	4	no	—
1845	C₂²	—	104	4	no	—
1846	C₂²	#11719527	1	2	yes	—
1847	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1848	C₄	—	2	1	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	2	1	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	2	1	no	—
1854	C₄	—	2	1	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	4	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	4	1	no	—
1860	C₄	—	4	1	no	—
1861	C₄	—	4	1	no	—
1862	C₄	—	4	1	no	—
1863	C₄	—	4	1	no	—
1864	C₄	—	26	2	no	—
1865	C₄	—	52	1	no	—
1866	C₄	—	52	1	no	—
1867	C₄	—	52	1	no	—
1868	C₄	—	52	1	no	—
1869	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1870	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1871	C₂	—	2	2	no	—
1872	C₂	—	4	1	no	—
1873	C₂	—	4	1	no	—
1874	C₂	—	4	1	no	—
1875	C₂	—	4	1	no	—
1876	C₂	—	8	1	no	—
1877	C₂	—	52	2	no	—
1878	C₂	—	104	1	no	—
1879	C₂	—	104	1	no	—
1880	C₂	#13128467	1	1	yes	characteristic
1881	C₂	C₂×#11719527	1	1	yes	characteristic
1882	C₂	#13129623	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3520	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3520	D₁₃
hypocenter	C₁₃	#61580
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3520

Complements

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

N	H ≅ G/N	type
1. D₄×#6127	C₂	semidirect
2. #13126956	C₂	semidirect
3. #13126926	C₂	semidirect
4. #13126896	C₂	semidirect
5. #13126881	C₂	semidirect
6. #13126866	C₂	semidirect
7. #13126851	C₂	semidirect
8. #13126821	C₂	semidirect
9. #13126791	C₂	semidirect
10. #13126422	C₂	semidirect
11. #13126407	C₂	semidirect
12. #13126402	C₂	semidirect
13. #13126392	C₂	semidirect
14. #13126387	C₂	semidirect
15. #13126362	C₂	semidirect
16. #13126347	C₂	semidirect
17. #13126332	C₂	semidirect
18. #13125869	C₂	semidirect
19. #13125843	C₂	semidirect
20. #13125673	C₂	semidirect
21. #13125666	C₂	semidirect
22. #13125624	C₂	semidirect
23. #13125617	C₂	semidirect
24. #13124992	C₂	semidirect
25. #13124939	C₂	semidirect
26. #13124094	C₂	semidirect
27. #13124076	C₂	semidirect
28. #13124052	C₂	semidirect
29. C₂×#11718708	C₂	semidirect
30. #13123865	C₂	semidirect
31. C₁₃×#3520	C₂	semidirect
34. C₁₃×#556	C₂²	semidirect
37. C₁₃×#552	C₂²	semidirect
40. D₄×Q₈×C₁₃	C₂²	semidirect
42. C₁₃×#548	C₂²	semidirect
43. C₁₃×#547	C₂²	semidirect
44. C₁₃×#547	C₂²	semidirect
49. C₁₃×#533	C₂²	semidirect
50. C₁₃×#529	C₂²	semidirect
51. C₁₃×#525	C₂²	semidirect
52. C₁₃×#525	C₂²	semidirect
53. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
54. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
57. C₂×#88205	C₂²	semidirect
58. C₂×#88204	C₂²	semidirect
59. C₂×#88204	C₂²	semidirect
60. C₂×#88203	C₂²	semidirect
61. C₂²×#6107	C₂²	semidirect
62. C₂×#88196	C₂²	semidirect
63. C₂×#88196	C₂²	semidirect
64. C₂²×#6106	C₂²	semidirect
85. #11718900	C₂²	semidirect
86. #11718900	C₂²	semidirect
87. #11718899	C₂²	semidirect
88. #11718899	C₂²	semidirect
89. #11718889	C₂²	semidirect
90. #11718889	C₂²	semidirect
91. #11718888	C₂²	semidirect
92. #11718888	C₂²	semidirect
93. #11718868	C₂²	semidirect
94. #11718868	C₂²	semidirect
95. C₂×C₂²⋊#1055	C₂²	semidirect
96. C₂×C₂²⋊#1055	C₂²	semidirect
97. #11718752	C₂²	semidirect
98. #11718751	C₂²	semidirect
99. #11718750	C₂²	semidirect
100. #11718750	C₂²	semidirect
101. #11718747	C₂²	semidirect
102. #11718747	C₂²	semidirect
103. #11718745	C₂²	semidirect
104. #11718744	C₂²	semidirect
105. #11718730	C₂²	semidirect
106. #11718728	C₂²	semidirect
107. #11718727	C₂²	semidirect
108. #11718724	C₂²	semidirect
109. #11718721	C₂²	semidirect
110. #11718719	C₂²	semidirect
111. #11718718	C₂²	semidirect
112. #11718715	C₂²	semidirect
113. #11718713	C₂²	semidirect
114. #11718713	C₂²	semidirect
115. #11718713	C₂²	semidirect
116. #11718712	C₂²	semidirect
117. #11718712	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718711	C₂²	semidirect
120. #11718711	C₂²	semidirect
121. #11718711	C₂²	semidirect
122. #11718710	C₂²	semidirect
123. #11718710	C₂²	semidirect
124. #11718710	C₂²	semidirect
125. #11718709	C₂²	semidirect
126. #11718709	C₂²	semidirect
127. #11718709	C₂²	semidirect
131. #11718708	C₂²	semidirect
132. #11718708	C₂²	semidirect
133. #11718708	C₂²	semidirect
134. #11718708	C₂²	semidirect
135. #11718708	C₂²	semidirect
136. #11718708	C₂²	semidirect
137. #11718708	C₂²	semidirect
138. #11718708	C₂²	semidirect
139. #11718708	C₂²	semidirect
140. #11718708	C₂²	semidirect
141. #11718708	C₂²	semidirect
142. #11718708	C₂²	semidirect
143. #11718707	C₂²	semidirect
144. #11718707	C₂²	semidirect
145. #11718707	C₂²	semidirect
146. #11718706	C₂²	semidirect
147. #11718706	C₂²	semidirect
148. #11718706	C₂²	semidirect
149. #11718703	C₂²	semidirect
150. #11718702	C₂²	semidirect
151. #11718701	C₂²	semidirect
152. #11718700	C₂²	semidirect
153. #11718699	C₂²	semidirect
155. #11718698	C₂²	semidirect
156. #11718698	C₂²	semidirect
157. #11718698	C₂²	semidirect
158. #11718698	C₂²	semidirect
159. #11718697	C₂²	semidirect
160. #11718696	C₂²	semidirect
161. #11718692	C₂²	semidirect
162. #11718692	C₂²	semidirect
163. #11718691	C₂²	semidirect
164. #11718691	C₂²	semidirect
165. #11718691	C₂²	semidirect
166. #11718689	C₂²	semidirect
167. #11718689	C₂²	semidirect
168. #11718688	C₂²	semidirect
169. #11718688	C₂²	semidirect
170. #11718687	C₂²	semidirect
171. #11718687	C₂²	semidirect
172. #11718687	C₂²	semidirect
173. #11718679	C₂²	semidirect
174. #11718677	C₂²	semidirect
175. #11718677	C₂²	semidirect
176. #11718675	C₂²	semidirect
179. #11718672	C₂²	semidirect
180. #11718672	C₂²	semidirect
181. #11718672	C₂²	semidirect
182. #11718672	C₂²	semidirect
183. #11718672	C₂²	semidirect
184. #11718672	C₂²	semidirect
185. #11718665	C₂²	semidirect
186. #11718664	C₂²	semidirect
187. #11718664	C₂²	semidirect
188. #11718663	C₂²	semidirect
189. #11718663	C₂²	semidirect
190. #11718662	C₂²	semidirect
191. #11718657	C₂²	semidirect
192. #11718657	C₂²	semidirect
193. #11718632	C₂²	semidirect
194. #11718631	C₂²	semidirect
195. C₂×#88050	C₂²	semidirect
196. #11718629	C₂²	semidirect
197. #11718628	C₂²	semidirect
198. #11718627	C₂²	semidirect
199. #11718627	C₂²	semidirect
200. C₂×#88049	C₂²	semidirect
201. #11718587	C₂²	semidirect
202. #11718587	C₂²	semidirect
739. #3520	D₁₃	semidirect
916. #556	C₂×D₁₃	semidirect
919. #552	C₂×D₁₃	semidirect
924. D₄×Q₈	C₂×D₁₃	semidirect
928. #548	C₂×D₁₃	semidirect
931. #547	C₂×D₁₃	semidirect
932. #547	C₂×D₁₃	semidirect
943. #533	C₂×D₁₃	semidirect
946. #529	C₂×D₁₃	semidirect
951. #525	C₂×D₁₃	semidirect
952. #525	C₂×D₁₃	semidirect
953. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
954. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
1679. C₁₃	#61580	semidirect

Maximal subgroups

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

subgroup	index
D₄×#6127	2
#13126956	2
#13126926	2
#13126896	2
#13126881	2
#13126866	2
#13126851	2
#13126821	2
#13126791	2
#13126422	2
#13126407	2
#13126402	2
#13126392	2
#13126387	2
#13126362	2
#13126347	2
#13126332	2
#13125869	2
#13125843	2
#13125673	2
#13125666	2
#13125624	2
#13125617	2
#13124992	2
#13124939	2
#13124094	2
#13124076	2
#13124052	2
C₂×#11718708	2
#13123865	2
C₁₃×#3520	2
#61580	13