Subgroups — #16744679

Order 3328.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128446	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128440	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127925	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127795	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127594	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127590	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127438	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127326	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127322	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127038	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127033	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126982	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126978	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126922	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126918	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126441	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126318	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126310	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125431	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125427	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125402	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124887	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124881	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124858	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124854	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124836	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124834	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123798	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88165	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	#11719534	C₂²	1	1	yes	characteristic
36	#11719534	C₂²	1	1	yes	characteristic, complemented
37	#11719511	C₂²	1	1	yes	characteristic, complemented
38	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
39	#11719496	—	2	1	no	—
40	C₂×C₄×C₂²⋊D₁₃	—	2	1	no	—
41	C₂×#88165	C₂²	1	1	yes	characteristic
42	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
43	#11719290	C₂²	1	1	yes	characteristic, complemented
44	#11719285	C₂²	1	1	yes	characteristic, complemented
45	#11719285	C₂²	1	1	yes	characteristic, complemented
46	#11719284	C₂²	1	1	yes	characteristic, complemented
47	#11719270	—	2	1	no	—
48	#11719264	C₂²	1	1	yes	characteristic, complemented
49	#11719263	C₂²	1	1	yes	characteristic
50	#11719262	C₂²	1	1	yes	characteristic, complemented
51	#11719261	—	2	1	no	—
52	#11719259	C₂²	1	1	yes	characteristic
53	#11719255	—	2	1	no	—
54	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
55	#11719253	C₂²	1	1	yes	characteristic, complemented
56	#11719252	—	2	1	no	—
57	#11719252	—	2	1	no	—
58	#11719252	—	2	1	no	—
59	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
62	#11719248	C₂²	1	1	yes	characteristic, complemented
63	#11719245	—	2	1	no	—
64	#11719244	C₂²	1	1	yes	characteristic, complemented
65	#11719243	—	2	1	no	—
66	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
67	#11719235	C₂²	1	1	yes	characteristic
68	#11719235	C₂²	1	1	yes	characteristic, complemented
69	#11719232	—	2	1	no	—
70	#11719232	—	2	1	no	—
71	#11719219	C₂²	1	1	yes	characteristic, complemented
72	#11719216	C₂²	1	1	yes	characteristic, complemented
73	#11719200	—	2	1	no	—
74	#11719195	—	2	1	no	—
75	#11719184	—	2	1	no	—
76	#11719184	C₂²	1	1	yes	characteristic, complemented
77	#11719182	C₂²	1	1	yes	characteristic, complemented
78	C₄×#6127	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₅₂	—	2	1	no	—
80	C₁₃×#442	C₂²	1	1	yes	characteristic
81	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
84	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
86	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
87	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
92	#11718900	C₂²	1	1	yes	characteristic, complemented
93	#11718899	C₂²	1	1	yes	characteristic
94	#11718878	C₂²	1	1	yes	characteristic, complemented
95	#11718878	C₂²	1	1	yes	characteristic, complemented
96	#11718837	C₂²	1	1	yes	characteristic, complemented
97	#11718835	C₂²	1	1	yes	characteristic, complemented
98	#11718834	C₂²	1	1	yes	characteristic, complemented
99	#11718832	C₂²	1	1	yes	characteristic, complemented
100	#11718830	C₂²	1	1	yes	characteristic, complemented
101	#11718829	C₂²	1	1	yes	characteristic, complemented
102	#11718826	C₂²	1	1	yes	characteristic, complemented
103	#11718826	C₂²	1	1	yes	characteristic, complemented
104	#11718817	C₂²	1	1	yes	characteristic
105	#11718817	C₂²	1	1	yes	characteristic, complemented
106	#11718814	C₂²	1	1	yes	characteristic, complemented
107	#11718813	C₂²	1	1	yes	characteristic
108	#11718811	C₂²	1	1	yes	characteristic
109	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
110	#11718796	C₂²	1	1	yes	characteristic, complemented
111	#11718796	C₂²	1	1	yes	characteristic, complemented
112	#11718795	C₂²	1	1	yes	characteristic, complemented
113	#11718795	C₂²	1	1	yes	characteristic, complemented
114	#11718789	C₂²	1	1	yes	characteristic, complemented
115	#11718789	C₂²	1	1	yes	characteristic, complemented
116	#11718788	C₂²	1	1	yes	characteristic, complemented
117	#11718788	C₂²	1	1	yes	characteristic, complemented
118	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
119	#11718689	C₂²	1	1	yes	characteristic, complemented
120	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
121	#11718683	C₂²	1	1	yes	characteristic, complemented
122	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
123	#11718677	C₂²	1	1	yes	characteristic, complemented
124	#11718676	C₂²	1	1	yes	characteristic
125	#11718676	C₂²	1	1	yes	characteristic, complemented
126	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
128	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
129	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
130	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
131	#11718670	C₂²	1	1	yes	characteristic, complemented
132	#11718668	C₂²	1	1	yes	characteristic, complemented
133	#11718668	C₂²	1	1	yes	characteristic, complemented
134	#11718664	C₂²	1	1	yes	characteristic, complemented
135	#11718657	C₂²	1	1	yes	characteristic, complemented
136	#11718628	C₂²	1	1	yes	characteristic, complemented
137	#11718628	C₂²	1	1	yes	characteristic, complemented
138	#11718586	C₂²	1	1	yes	characteristic, complemented
139	#11718552	C₂²	1	1	yes	characteristic, complemented
140	#11718551	C₂²	1	1	yes	characteristic, complemented
141	#11718550	C₂²	1	1	yes	characteristic, complemented
142	#11718545	C₂²	1	1	yes	characteristic, complemented
143	#11718543	C₂²	1	1	yes	characteristic, complemented
144	#11718542	C₂²	1	1	yes	characteristic, complemented
145	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
146	#11718533	C₂²	1	1	yes	characteristic, complemented
147	#11718532	C₂²	1	1	yes	characteristic, complemented
148	#11718527	C₂²	1	1	yes	characteristic, complemented
149	#11718526	C₂²	1	1	yes	characteristic, complemented
150	#11718525	C₂²	1	1	yes	characteristic, complemented
151	#11718524	C₂²	1	1	yes	characteristic, complemented
152	#11718519	C₂²	1	1	yes	characteristic, complemented
153	#11718518	C₂²	1	1	yes	characteristic, complemented
154	#11718517	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic, complemented
156	#11718476	C₂²	1	1	yes	characteristic, complemented
157	#11718474	C₂²	1	1	yes	characteristic, complemented
158	#11718473	C₂²	1	1	yes	characteristic, complemented
159	#11718470	C₂²	1	1	yes	characteristic, complemented
160	#11718461	C₂²	1	1	yes	characteristic, complemented
161	#11718459	C₂²	1	1	yes	characteristic, complemented
162	#11718456	C₂²	1	1	yes	characteristic, complemented
163	#11718448	C₂²	1	1	yes	characteristic, complemented
164	#11718447	C₂²	1	1	yes	characteristic, complemented
165	#11718446	C₂²	1	1	yes	characteristic, complemented
166	#11718443	C₂²	1	1	yes	characteristic, complemented
167	#11718442	C₂²	1	1	yes	characteristic
168	#11718438	C₂²	1	1	yes	characteristic, complemented
169	#11718437	C₂²	1	1	yes	characteristic, complemented
170	#11718436	C₂²	1	1	yes	characteristic
171	#11718435	C₂²	1	1	yes	characteristic, complemented
172	#11718434	C₂²	1	1	yes	characteristic
173	#11718434	C₂²	1	1	yes	characteristic, complemented
174	#11718432	C₂²	1	1	yes	characteristic, complemented
175	#11718431	C₂²	1	1	yes	characteristic, complemented
176	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
177	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
178	#11718429	C₂²	1	1	yes	characteristic, complemented
179	#11718427	C₂²	1	1	yes	characteristic, complemented
180	#11718425	C₂²	1	1	yes	characteristic, complemented
181	#11718424	C₂²	1	1	yes	characteristic, complemented
182	#11718424	C₂²	1	1	yes	characteristic, complemented
183	#11718420	C₂²	1	1	yes	characteristic, complemented
184	#11718418	C₂²	1	1	yes	characteristic, complemented
185	#11718417	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718375	C₂²	1	1	yes	characteristic, complemented
188	#11718374	C₂²	1	1	yes	characteristic, complemented
189	#11718373	C₂²	1	1	yes	characteristic, complemented
190	#11718367	C₂²	1	1	yes	characteristic, complemented
191	#11718367	C₂²	1	1	yes	characteristic, complemented
192	#11718363	C₂²	1	1	yes	characteristic, complemented
193	#11718362	C₂²	1	1	yes	characteristic, complemented
194	#11718362	C₂²	1	1	yes	characteristic, complemented
195	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
196	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
197	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
198	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
199	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
200	#11718346	C₂²	1	1	yes	characteristic, complemented
201	#11718346	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₃	—	2	1	no	—
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	C₂×#6129	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×#6127	—	2	1	no	—
212	C₂×#6127	—	2	1	no	—
213	C₂×#6127	D₄	1	1	yes	characteristic
214	C₂²×D₅₂	—	2	1	no	—
215	C₂²×C₄×D₁₃	—	2	1	no	—
216	C₂²×C₄×D₁₃	—	2	1	no	—
217	C₂²×C₄×D₁₃	—	2	1	no	—
218	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₁₃×#117	—	2	1	no	—
238	C₁₃×#117	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
241	C₂×C₄²×C₁₃	—	2	1	no	—
242	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
243	#88207	—	2	1	no	—
244	#88207	—	2	1	no	—
245	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
246	#88201	C₂³	1	1	yes	characteristic
247	#88201	C₂³	1	1	yes	characteristic
248	#88200	C₂³	1	1	yes	characteristic
249	#88200	C₂³	1	1	yes	characteristic
250	C₂×#6107	C₂³	1	1	yes	characteristic
251	C₂×#6106	C₂³	1	1	yes	characteristic
252	#88194	C₂³	1	1	yes	characteristic
253	#88193	—	2	1	no	—
254	#88193	—	2	1	no	—
255	#88193	—	2	1	no	—
256	#88193	—	2	1	no	—
257	#88192	C₂³	1	1	yes	characteristic
258	#88192	C₂³	1	1	yes	characteristic
259	#88191	—	2	1	no	—
260	#88191	—	2	1	no	—
261	#88191	—	2	1	no	—
262	#88190	C₂³	1	1	yes	characteristic
263	#88189	—	2	1	no	—
264	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×#6105	C₂³	1	1	yes	characteristic
269	C₂×#6104	C₂³	1	1	yes	characteristic
270	C₂×#6104	C₂³	1	1	yes	characteristic
271	C₂×#6104	C₂³	1	1	yes	characteristic
272	C₂×#6104	C₂³	1	1	yes	characteristic
273	C₂×#6104	C₂³	1	1	yes	characteristic
274	#88184	—	2	1	no	—
275	#88184	—	2	1	no	—
276	#88184	—	2	1	no	—
277	#88184	—	2	1	no	—
278	#88184	C₂³	1	1	yes	characteristic
279	#88184	C₂³	1	1	yes	characteristic
280	#88184	C₂³	1	1	yes	characteristic
281	#88183	—	2	1	no	—
282	#88183	—	2	1	no	—
283	#88183	—	2	1	no	—
284	#88183	—	2	1	no	—
285	#88183	—	2	1	no	—
286	C₄×C₂²⋊D₁₃	—	2	1	no	—
287	C₄×C₂²⋊D₁₃	—	2	1	no	—
288	C₄×C₂²⋊D₁₃	—	2	1	no	—
289	C₄×C₂²⋊D₁₃	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	—	2	1	no	—
291	C₄×C₂²⋊D₁₃	—	2	1	no	—
292	C₄×C₂²⋊D₁₃	—	2	1	no	—
293	C₄×C₂²⋊D₁₃	—	2	1	no	—
294	C₄×C₂²⋊D₁₃	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	—	2	1	no	—
296	C₄×C₂²⋊D₁₃	—	2	1	no	—
297	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
298	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
299	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
300	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
301	C₂×#6103	—	2	1	no	—
302	C₂×#6103	—	2	1	no	—
303	C₂×#6103	—	2	1	no	—
304	#88180	—	2	1	no	—
305	#88180	D₄	1	1	yes	characteristic
306	C₂×C₄⋊Dic₁₃	—	2	1	no	—
307	#88178	—	2	1	no	—
308	#88178	—	2	1	no	—
309	#88178	—	2	1	no	—
310	#88178	C₂³	1	1	yes	characteristic
311	C₂×#6101	—	2	1	no	—
312	C₂×C₄×Dic₁₃	—	2	1	no	—
313	#88165	—	2	4	no	—
314	D₈×D₁₃	—	2	4	no	—
315	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
316	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
317	C₂×#6095	C₂³	1	1	yes	characteristic
318	C₂×#6095	C₂³	1	1	yes	characteristic
319	C₂×#6094	C₂³	1	1	yes	characteristic
320	C₂×#6094	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
323	#88152	—	2	1	no	—
324	#88152	—	2	1	no	—
325	#88152	—	2	1	no	—
326	#88151	C₂³	1	1	yes	characteristic
327	#88150	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88150	—	2	1	no	—
330	#88149	C₂³	1	1	yes	characteristic
331	#88149	C₂³	1	1	yes	characteristic
332	#88149	C₂³	1	1	yes	characteristic
333	#88148	—	2	1	no	—
334	#88148	—	2	1	no	—
335	#88148	—	2	1	no	—
336	#88148	—	2	1	no	—
337	#88148	—	2	1	no	—
338	#88147	C₂³	1	1	yes	characteristic
339	#88147	C₂³	1	1	yes	characteristic
340	#88147	C₂³	1	1	yes	characteristic
341	#88146	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	#88144	C₂³	1	1	yes	characteristic
346	#88144	C₂³	1	1	yes	characteristic
347	#88144	C₂³	1	1	yes	characteristic
348	#88143	—	2	1	no	—
349	#88142	C₂³	1	1	yes	characteristic
350	#88141	C₂³	1	1	yes	characteristic
351	#88140	—	2	1	no	—
352	#88139	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88138	—	2	1	no	—
355	#88138	—	2	1	no	—
356	#88138	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88137	—	2	1	no	—
359	#88137	—	2	1	no	—
360	#88137	—	2	1	no	—
361	#88137	—	2	1	no	—
362	#88136	—	2	1	no	—
363	#88136	—	2	1	no	—
364	#88136	—	2	1	no	—
365	#88135	—	2	1	no	—
366	#88135	—	2	1	no	—
367	#88135	—	2	1	no	—
368	#88135	—	2	1	no	—
369	C₂²⋊C₄×D₁₃	—	2	1	no	—
370	C₂²⋊C₄×D₁₃	—	2	1	no	—
371	C₂²⋊C₄×D₁₃	—	2	1	no	—
372	#88133	—	2	1	no	—
373	#88133	—	2	1	no	—
374	#88132	—	2	1	no	—
375	#88132	—	2	1	no	—
376	#88132	—	2	1	no	—
377	#88132	—	2	1	no	—
378	#88131	—	2	1	no	—
379	#88130	—	2	1	no	—
380	#88130	—	2	1	no	—
381	#88130	—	2	1	no	—
382	#88129	—	2	1	no	—
383	#88129	—	2	1	no	—
384	#88129	C₂³	1	1	yes	characteristic
385	#88128	C₂³	1	1	yes	characteristic
386	C₄×D₅₂	—	2	1	no	—
387	C₄×D₅₂	—	2	1	no	—
388	C₄×D₅₂	—	2	1	no	—
389	C₄×D₅₂	—	2	1	no	—
390	C₄×D₅₂	—	2	1	no	—
391	C₄×D₅₂	—	2	1	no	—
392	C₄×D₅₂	—	2	1	no	—
393	C₄×D₅₂	D₄	1	1	yes	characteristic
394	C₄×D₅₂	C₂³	1	1	yes	characteristic
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	C₄×D₅₂	C₂³	1	1	yes	characteristic
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	#88126	—	2	1	no	—
399	#88126	—	2	1	no	—
400	#88126	—	2	1	no	—
401	#88126	D₄	1	1	yes	characteristic
402	#88126	D₄	1	1	yes	characteristic
403	C₄²×D₁₃	C₂³	1	1	yes	characteristic
404	C₄²×D₁₃	C₂³	1	1	yes	characteristic
405	#88124	—	2	1	no	—
406	#88124	C₂³	1	1	yes	characteristic
407	#88123	C₂³	1	1	yes	characteristic
408	C₄×Dic₂₆	D₄	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#103	C₂³	1	1	yes	characteristic
416	C₁₃×#103	C₂³	1	1	yes	characteristic
417	C₁₃×#102	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×#102	C₂³	1	1	yes	characteristic
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₁₃×#102	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#97	C₂³	1	1	yes	characteristic
424	C₁₃×#97	C₂³	1	1	yes	characteristic
425	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
426	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88075	C₂³	1	1	yes	characteristic
429	#88072	C₂³	1	1	yes	characteristic
430	#88072	C₂³	1	1	yes	characteristic
431	#88072	C₂³	1	1	yes	characteristic
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	C₂²⋊#1055	C₂³	1	1	yes	characteristic
436	C₂²⋊#1055	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88061	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88058	C₂³	1	1	yes	characteristic
448	#88058	C₂³	1	1	yes	characteristic
449	#88057	C₂³	1	1	yes	characteristic
450	#88057	C₂³	1	1	yes	characteristic
451	#88056	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88055	C₂³	1	1	yes	characteristic
454	#88055	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88050	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	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88047	C₂³	1	1	yes	characteristic
472	#88047	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	C₄⋊#1055	C₂³	1	1	yes	characteristic
478	C₄⋊#1055	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61444	—	13	1	no	maximal, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂³×D₁₃	—	2	1	no	—
484	C₂³×D₁₃	—	2	1	no	—
485	C₂³×D₁₃	—	2	1	no	—
486	C₁₃×#41	—	2	2	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×D₄×C₁₃	—	2	2	no	—
490	C₂×D₄×C₁₃	—	2	1	no	—
491	C₂×D₄×C₁₃	—	2	1	no	—
492	C₂×D₄×C₁₃	—	4	1	no	—
493	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	—	2	1	no	—
497	C₂²×C₄×C₁₃	—	2	1	no	—
498	C₂²×C₄×C₁₃	—	2	1	no	—
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	—	2	1	no	—
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	—	8	2	no	—
505	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	4	4	no	—
520	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	—	2	1	no	—
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	#6129	—	2	2	no	—
528	#6129	—	4	1	no	—
529	D₄×D₁₃	—	2	2	no	—
530	D₄×D₁₃	—	2	2	no	—
531	D₄×D₁₃	—	2	2	no	—
532	D₄×D₁₃	—	4	1	no	—
533	D₄×D₁₃	—	4	1	no	—
534	D₄×D₁₃	—	4	1	no	—
535	#6127	—	4	2	no	—
536	#6127	—	8	2	no	—
537	#6127	—	8	2	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	—	2	1	no	—
540	C₂×D₅₂	—	2	1	no	—
541	C₂×D₅₂	—	2	1	no	—
542	C₂×D₅₂	—	2	1	no	—
543	C₂×D₅₂	—	4	4	no	—
544	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
545	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
546	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
547	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₁₃	—	2	1	no	—
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	8	2	no	—
558	C₂×C₄×D₁₃	—	8	2	no	—
559	C₂×C₄×D₁₃	—	8	2	no	—
560	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₂₆	—	2	1	no	—
567	C₂×Dic₂₆	—	2	1	no	—
568	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
569	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
570	C₁₃×SD₁₆	—	2	2	no	—
571	C₁₃×SD₁₆	—	2	2	no	—
572	C₁₃×D₈	—	2	2	no	—
573	C₁₃×D₈	#41	1	4	yes	complemented
574	C₁₃×M₁₆	—	2	2	no	—
575	C₁₃×M₁₆	—	4	1	no	—
576	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₄²×C₁₃	—	2	1	no	—
595	C₄²×C₁₃	—	2	1	no	—
596	C₄²×C₁₃	—	2	1	no	—
597	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
598	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
599	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
600	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
601	C₂²⋊Dic₁₃	—	2	1	no	—
602	C₂²⋊Dic₁₃	—	2	1	no	—
603	C₂²⋊Dic₁₃	—	2	1	no	—
604	C₂²⋊Dic₁₃	—	2	1	no	—
605	C₂²⋊Dic₁₃	—	2	1	no	—
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	—	2	1	no	—
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
610	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
611	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
612	#6107	—	4	1	no	—
613	#6106	—	4	1	no	—
614	#6105	—	2	2	no	—
615	#6104	—	2	2	no	—
616	#6104	—	2	2	no	—
617	#6104	—	2	2	no	—
618	#6104	—	4	1	no	—
619	#6104	—	4	1	no	—
620	#6103	—	2	1	no	—
621	#6103	—	2	1	no	—
622	#6103	—	2	1	no	—
623	#6103	—	2	1	no	—
624	#6103	—	2	1	no	—
625	#6103	—	2	1	no	—
626	#6103	—	2	1	no	—
627	#6103	—	2	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	C₂×D₄	1	1	yes	characteristic
643	#6103	C₂×D₄	1	1	yes	characteristic
644	#6103	C₂×D₄	1	1	yes	characteristic
645	#6103	C₂×D₄	1	1	yes	characteristic
646	C₄⋊Dic₁₃	—	2	1	no	—
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	—	2	1	no	—
651	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	C₂×D₄	1	1	yes	characteristic
672	#6101	C₂×D₄	1	1	yes	characteristic
673	#6101	C₂×D₄	1	1	yes	characteristic
674	#6101	C₂×D₄	1	1	yes	characteristic
675	C₄×Dic₁₃	—	2	1	no	—
676	C₄×Dic₁₃	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
679	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
680	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
683	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
684	C₂×#1055	C₂⁴	1	1	yes	characteristic
685	C₂×#1055	C₂⁴	1	1	yes	characteristic
686	C₂×#1055	C₂⁴	1	1	yes	characteristic
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	D₁₀₄	—	2	2	no	—
689	D₁₀₄	—	4	1	no	—
690	#6095	—	2	2	no	—
691	#6095	—	4	1	no	—
692	#6094	—	2	2	no	—
693	#6094	—	4	1	no	—
694	C₈×D₁₃	—	2	2	no	—
695	C₈×D₁₃	—	4	1	no	—
696	#3481	—	13	1	no	—
697	#3481	—	13	1	no	—
698	#3403	—	13	1	no	—
699	#3389	—	13	1	no	—
700	#3370	—	13	1	no	—
701	#3370	—	13	1	no	—
702	#3355	—	13	1	no	—
703	#3346	—	13	1	no	—
704	#3346	—	13	1	no	—
705	#3322	—	13	1	no	—
706	#3322	—	13	1	no	—
707	#3318	—	13	1	no	—
708	#3318	—	13	1	no	—
709	#3314	—	13	1	no	—
710	#3314	—	13	1	no	—
711	#3273	—	13	1	no	—
712	#3264	—	13	1	no	—
713	#3264	—	13	1	no	—
714	#3171	—	13	1	no	—
715	#3171	—	13	1	no	—
716	#3168	—	13	1	no	—
717	#3105	—	13	1	no	—
718	#3105	—	13	1	no	—
719	#3102	—	13	1	no	—
720	#3102	—	13	1	no	—
721	#3100	—	13	1	no	—
722	#3100	—	13	1	no	—
723	#2965	—	13	1	no	—
724	C₄×AGL(1,ℤ/8)	—	13	1	no	—
725	C₄×AGL(1,ℤ/8)	D₁₃	1	1	yes	characteristic, complemented
726	C₂×C₄×D₈	—	13	1	no	—
727	C₂³×C₁₃	—	2	1	no	—
728	C₂³×C₁₃	—	2	1	no	—
729	C₂³×C₁₃	—	2	1	no	—
730	C₂³×C₁₃	—	4	2	no	—
731	C₂³×C₁₃	—	4	2	no	—
732	C₂³×C₁₃	—	8	1	no	—
733	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
734	C₂²×D₁₃	—	2	1	no	—
735	C₂²×D₁₃	—	2	1	no	—
736	C₂²×D₁₃	—	2	1	no	—
737	C₂²×D₁₃	—	4	2	no	—
738	C₂²×D₁₃	—	4	2	no	—
739	C₂²×D₁₃	—	4	2	no	—
740	C₂²×D₁₃	—	4	2	no	—
741	C₂²×D₁₃	—	4	2	no	—
742	C₂²×D₁₃	—	4	2	no	—
743	C₂²×D₁₃	—	8	1	no	—
744	C₂²×D₁₃	—	8	1	no	—
745	C₂²×D₁₃	—	8	1	no	—
746	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
747	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
748	Q₈×C₁₃	—	2	1	no	—
749	Q₈×C₁₃	—	2	1	no	—
750	D₄×C₁₃	—	2	1	no	—
751	D₄×C₁₃	—	2	1	no	—
752	D₄×C₁₃	—	2	1	no	—
753	D₄×C₁₃	—	2	1	no	—
754	D₄×C₁₃	—	4	2	no	—
755	D₄×C₁₃	—	4	2	no	—
756	D₄×C₁₃	C₂×#41	1	2	yes	—
757	D₄×C₁₃	C₂×#41	1	2	yes	—
758	C₂×C₄×C₁₃	—	2	2	no	—
759	C₂×C₄×C₁₃	—	2	1	no	—
760	C₂×C₄×C₁₃	—	2	1	no	—
761	C₂×C₄×C₁₃	—	2	1	no	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	4	1	no	—
767	C₂×C₄×C₁₃	—	4	2	no	—
768	C₂×C₄×C₁₃	—	4	2	no	—
769	C₂×C₄×C₁₃	—	4	2	no	—
770	C₂×C₄×C₁₃	—	4	2	no	—
771	C₂×C₄×C₁₃	—	4	2	no	—
772	C₂×C₄×C₁₃	—	8	1	no	—
773	C₂×C₄×C₁₃	—	8	1	no	—
774	C₂×C₄×C₁₃	—	8	1	no	—
775	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
781	C₂²⋊D₁₃	—	2	2	no	—
782	C₂²⋊D₁₃	—	4	1	no	—
783	C₂²⋊D₁₃	—	4	2	no	—
784	C₂²⋊D₁₃	—	4	2	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	—	4	2	no	—
790	C₂²⋊D₁₃	—	8	1	no	—
791	C₂²⋊D₁₃	—	8	1	no	—
792	C₂²⋊D₁₃	—	8	1	no	—
793	C₂²⋊D₁₃	—	8	1	no	—
794	C₂×Dic₁₃	—	2	1	no	—
795	C₂×Dic₁₃	—	2	1	no	—
796	C₂×Dic₁₃	—	2	1	no	—
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	4	2	no	—
800	C₂×Dic₁₃	—	4	2	no	—
801	C₂×Dic₁₃	—	8	1	no	—
802	C₂×Dic₁₃	—	8	1	no	—
803	C₂×Dic₁₃	—	8	1	no	—
804	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
810	D₅₂	—	2	2	no	—
811	D₅₂	—	2	1	no	—
812	D₅₂	—	2	1	no	—
813	D₅₂	—	2	1	no	—
814	D₅₂	—	2	1	no	—
815	D₅₂	—	2	1	no	—
816	D₅₂	—	2	1	no	—
817	D₅₂	—	4	2	no	—
818	D₅₂	—	4	2	no	—
819	D₅₂	—	4	2	no	—
820	D₅₂	—	8	1	no	—
821	D₅₂	—	8	1	no	—
822	C₄×D₁₃	—	2	2	no	—
823	C₄×D₁₃	—	2	2	no	—
824	C₄×D₁₃	—	2	2	no	—
825	C₄×D₁₃	—	2	1	no	—
826	C₄×D₁₃	—	2	1	no	—
827	C₄×D₁₃	—	2	1	no	—
828	C₄×D₁₃	—	2	1	no	—
829	C₄×D₁₃	—	4	1	no	—
830	C₄×D₁₃	—	4	2	no	—
831	C₄×D₁₃	—	4	2	no	—
832	C₄×D₁₃	—	4	2	no	—
833	C₄×D₁₃	—	8	1	no	—
834	C₄×D₁₃	—	8	1	no	—
835	C₄×D₁₃	—	8	1	no	—
836	C₄×D₁₃	—	8	1	no	—
837	C₄×D₁₃	—	8	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	Dic₂₆	—	2	1	no	—
840	Dic₂₆	—	2	1	no	—
841	Dic₂₆	—	4	1	no	—
842	Dic₂₆	—	8	1	no	—
843	Dic₂₆	—	8	1	no	—
844	C₈×C₁₃	—	2	1	no	—
845	C₈×C₁₃	—	2	1	no	—
846	C₈×C₁₃	—	2	1	no	—
847	C₈×C₁₃	C₂×#41	1	2	yes	—
848	#1055	—	2	1	no	—
849	#1055	—	2	1	no	—
850	#1055	—	2	1	no	—
851	#1055	—	2	1	no	—
852	C₂×AGL(1,ℤ/8)	—	13	1	no	—
853	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic
854	C₂²×D₈	—	13	1	no	—
855	#559	—	13	1	no	—
856	#559	—	13	1	no	—
857	#554	—	13	1	no	—
858	#554	—	13	1	no	—
859	#554	—	13	1	no	—
860	#554	—	13	1	no	—
861	#553	—	13	1	no	—
862	#553	—	13	1	no	—
863	#553	—	13	1	no	—
864	#553	—	13	1	no	—
865	#553	—	26	1	no	—
866	#553	—	26	1	no	—
867	#551	—	26	1	no	—
868	#551	—	26	1	no	—
869	#551	—	26	1	no	—
870	#551	—	26	1	no	—
871	#546	—	13	1	no	—
872	#546	—	13	1	no	—
873	#546	—	13	1	no	—
874	#546	—	13	1	no	—
875	#546	—	26	1	no	—
876	#546	—	26	1	no	—
877	D₄²	—	13	1	no	—
878	D₄²	—	13	1	no	—
879	#532	—	13	1	no	—
880	#532	—	13	1	no	—
881	#529	—	13	1	no	—
882	#529	—	13	1	no	—
883	#529	—	13	1	no	—
884	#529	—	13	1	no	—
885	#529	—	26	1	no	—
886	#529	—	26	1	no	—
887	#525	—	26	1	no	—
888	#525	—	26	1	no	—
889	#525	—	26	1	no	—
890	#525	—	26	1	no	—
891	C₄×#41	—	13	1	no	—
892	C₄×#41	—	13	1	no	—
893	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
894	C₂×C₄×D₄	—	13	1	no	—
895	C₂×C₄×D₄	—	13	1	no	—
896	C₂×C₄×D₄	—	13	1	no	—
897	C₂×C₄×D₄	—	26	1	no	—
898	C₂×C₄×D₄	—	26	1	no	—
899	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
900	#501	—	13	1	no	—
901	#501	—	13	1	no	—
902	#499	—	13	1	no	—
903	#496	—	13	1	no	—
904	#496	—	13	1	no	—
905	#495	—	13	1	no	—
906	#490	—	13	1	no	—
907	#490	—	13	1	no	—
908	#489	—	13	1	no	—
909	#489	—	13	1	no	—
910	#488	—	13	1	no	—
911	#488	—	13	1	no	—
912	#485	—	13	1	no	—
913	#485	—	13	1	no	—
914	#484	—	13	1	no	—
915	#484	—	13	1	no	—
916	#482	—	13	1	no	—
917	#482	—	13	1	no	—
918	#481	—	13	1	no	—
919	#481	—	13	1	no	—
920	#480	—	13	1	no	—
921	#480	—	13	1	no	—
922	#480	—	13	1	no	—
923	#480	—	13	1	no	—
924	#479	—	13	1	no	—
925	#479	—	13	1	no	—
926	#478	—	13	1	no	—
927	#478	—	13	1	no	—
928	#478	—	13	1	no	—
929	#478	—	13	1	no	—
930	#478	—	13	1	no	—
931	#478	—	13	1	no	—
932	#474	—	13	1	no	—
933	#474	—	13	1	no	—
934	#474	—	13	1	no	—
935	#474	—	13	1	no	—
936	#469	—	13	1	no	—
937	#469	—	13	1	no	—
938	#469	—	13	1	no	—
939	#469	—	13	1	no	—
940	#468	—	13	1	no	—
941	#468	—	13	1	no	—
942	#468	—	13	1	no	—
943	#468	—	13	1	no	—
944	#467	—	13	1	no	—
945	#466	—	13	1	no	—
946	#465	—	13	1	no	—
947	#465	—	13	1	no	—
948	#464	—	13	1	no	—
949	#464	—	13	1	no	—
950	#463	—	13	1	no	—
951	#463	—	13	1	no	—
952	#463	—	13	1	no	—
953	#463	—	13	1	no	—
954	#463	—	13	1	no	—
955	#463	—	13	1	no	—
956	#459	—	13	1	no	—
957	#459	—	13	1	no	—
958	#459	—	13	1	no	—
959	#459	—	13	1	no	—
960	#452	—	13	1	no	—
961	#452	—	13	1	no	—
962	#450	—	13	1	no	—
963	#450	—	13	1	no	—
964	#449	—	13	1	no	—
965	#449	—	13	1	no	—
966	#447	—	13	1	no	—
967	#447	—	13	1	no	—
968	#447	—	13	1	no	—
969	#447	—	13	1	no	—
970	#447	—	13	1	no	—
971	#447	—	13	1	no	—
972	#446	—	13	1	no	—
973	#446	—	13	1	no	—
974	#442	—	13	1	no	—
975	#442	—	13	1	no	—
976	#442	C₂×D₁₃	1	1	yes	characteristic
977	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
978	#440	—	13	1	no	—
979	#440	—	13	1	no	—
980	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
981	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
982	C₄×Q₁₆	—	13	1	no	—
983	C₄×SD₁₆	—	13	1	no	—
984	C₄×SD₁₆	—	13	1	no	—
985	C₄×SD₁₆	—	13	1	no	—
986	C₄×SD₁₆	—	13	1	no	—
987	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
988	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
989	C₄×D₈	—	13	1	no	—
990	C₄×D₈	—	13	1	no	—
991	C₄×D₈	—	13	1	no	—
992	C₄×D₈	—	13	1	no	—
993	C₄×D₈	—	13	1	no	—
994	C₄×D₈	—	13	1	no	—
995	C₄×D₈	—	13	1	no	—
996	C₄×D₈	—	13	1	no	—
997	C₄×D₈	—	13	1	no	—
998	C₄×D₈	—	13	1	no	—
999	C₄×D₈	—	13	1	no	—
1000	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
1001	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#436	—	13	1	no	—
1003	#436	—	13	1	no	—
1004	#435	—	13	1	no	—
1005	#435	—	13	1	no	—
1006	#435	—	13	1	no	—
1007	#435	—	13	1	no	—
1008	#431	—	13	1	no	—
1009	#431	—	13	1	no	—
1010	#431	—	13	1	no	—
1011	#428	—	13	1	no	—
1012	#428	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	C₂×#107	—	13	1	no	—
1014	#418	—	13	1	no	—
1015	#418	C₂×D₁₃	1	1	yes	characteristic, complemented
1016	#417	—	13	1	no	—
1017	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	C₂×#102	—	13	1	no	—
1019	C₂×#102	—	13	1	no	—
1020	C₄×M₁₆	—	13	1	no	—
1021	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	C₂×C₄×C₈	—	13	1	no	—
1023	C₂²×C₁₃	—	2	2	no	—
1024	C₂²×C₁₃	—	2	2	no	—
1025	C₂²×C₁₃	—	2	1	no	—
1026	C₂²×C₁₃	—	2	1	no	—
1027	C₂²×C₁₃	—	2	1	no	—
1028	C₂²×C₁₃	—	4	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	—	4	1	no	—
1033	C₂²×C₁₃	—	4	1	no	—
1034	C₂²×C₁₃	—	4	1	no	—
1035	C₂²×C₁₃	—	8	4	no	—
1036	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1037	C₂×D₁₃	—	2	1	no	—
1038	C₂×D₁₃	—	2	1	no	—
1039	C₂×D₁₃	—	2	1	no	—
1040	C₂×D₁₃	—	2	1	no	—
1041	C₂×D₁₃	—	2	1	no	—
1042	C₂×D₁₃	—	4	1	no	—
1043	C₂×D₁₃	—	4	1	no	—
1044	C₂×D₁₃	—	4	1	no	—
1045	C₂×D₁₃	—	4	1	no	—
1046	C₂×D₁₃	—	4	1	no	—
1047	C₂×D₁₃	—	4	1	no	—
1048	C₂×D₁₃	—	4	1	no	—
1049	C₂×D₁₃	—	4	1	no	—
1050	C₂×D₁₃	—	4	1	no	—
1051	C₂×D₁₃	—	8	4	no	—
1052	C₂×D₁₃	—	8	4	no	—
1053	C₂×D₁₃	—	8	4	no	—
1054	C₂×D₁₃	#575	1	2	yes	—
1055	C₄×C₁₃	—	2	1	no	—
1056	C₄×C₁₃	—	2	1	no	—
1057	C₄×C₁₃	—	2	1	no	—
1058	C₄×C₁₃	—	2	1	no	—
1059	C₄×C₁₃	—	4	1	no	—
1060	C₄×C₁₃	—	4	1	no	—
1061	C₄×C₁₃	—	4	1	no	—
1062	C₄×C₁₃	—	4	1	no	—
1063	C₄×C₁₃	—	4	1	no	—
1064	C₄×C₁₃	#576	1	2	yes	—
1065	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1066	C₄×C₁₃	#585	1	1	yes	characteristic
1067	Dic₁₃	—	2	1	no	—
1068	Dic₁₃	—	2	1	no	—
1069	Dic₁₃	—	2	1	no	—
1070	Dic₁₃	—	2	1	no	—
1071	Dic₁₃	—	2	1	no	—
1072	Dic₁₃	—	2	1	no	—
1073	Dic₁₃	—	4	1	no	—
1074	Dic₁₃	—	4	1	no	—
1075	Dic₁₃	—	4	1	no	—
1076	Dic₁₃	—	4	1	no	—
1077	Dic₁₃	—	4	1	no	—
1078	C₂×#41	—	13	1	no	—
1079	C₂×#41	—	13	1	no	—
1080	C₂×#41	—	26	1	no	—
1081	C₂×#41	—	26	1	no	—
1082	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1083	C₂²×D₄	—	13	1	no	—
1084	C₂²×D₄	—	13	1	no	—
1085	C₂²×D₄	—	13	1	no	—
1086	C₂²×D₄	—	26	1	no	—
1087	C₂²×D₄	—	26	1	no	—
1088	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1089	C₂³×C₄	—	2	1	no	—
1090	C₂³×C₄	—	26	1	no	—
1091	C₂³×C₄	—	26	1	no	—
1092	C₂³×C₄	—	26	1	no	—
1093	AGL(1,ℤ/8)	—	2	4	no	—
1094	AGL(1,ℤ/8)	—	26	4	no	—
1095	C₂×Q₁₆	—	13	1	no	—
1096	C₂×SD₁₆	—	13	1	no	—
1097	C₂×SD₁₆	—	13	1	no	—
1098	C₂×SD₁₆	—	13	1	no	—
1099	C₂×SD₁₆	—	13	1	no	—
1100	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1102	C₂×D₈	—	13	1	no	—
1103	C₂×D₈	—	13	1	no	—
1104	C₂×D₈	—	13	1	no	—
1105	C₂×D₈	—	13	1	no	—
1106	C₂×D₈	—	13	1	no	—
1107	C₂×D₈	—	13	1	no	—
1108	C₂×D₈	—	13	1	no	—
1109	C₂×D₈	—	26	4	no	—
1110	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1111	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1112	C₂×M₁₆	—	13	1	no	—
1113	C₂×M₁₆	—	13	1	no	—
1114	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1115	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1116	C₂²×C₈	—	13	1	no	—
1117	C₂²×C₈	—	13	1	no	—
1118	C₄⋊Q₈	—	13	1	no	—
1119	C₄⋊Q₈	—	13	1	no	—
1120	#127	—	13	1	no	—
1121	#127	—	13	1	no	—
1122	#126	—	26	1	no	—
1123	#126	—	26	1	no	—
1124	#126	—	26	1	no	—
1125	#126	—	26	1	no	—
1126	#126	—	26	1	no	—
1127	#126	—	26	1	no	—
1128	#126	—	26	1	no	—
1129	#126	—	26	1	no	—
1130	#125	—	13	1	no	—
1131	#125	—	13	1	no	—
1132	#125	—	13	1	no	—
1133	#125	—	13	1	no	—
1134	#125	—	26	1	no	—
1135	#125	—	26	1	no	—
1136	#124	—	13	1	no	—
1137	#124	—	13	1	no	—
1138	#124	—	13	1	no	—
1139	#124	—	13	1	no	—
1140	#124	—	26	1	no	—
1141	#124	—	26	1	no	—
1142	#124	—	26	1	no	—
1143	#124	—	26	1	no	—
1144	#123	—	26	1	no	—
1145	#123	—	26	1	no	—
1146	#123	—	26	1	no	—
1147	#123	—	26	1	no	—
1148	#123	—	26	1	no	—
1149	#123	—	26	1	no	—
1150	#123	—	26	1	no	—
1151	#123	—	26	1	no	—
1152	#123	—	26	1	no	—
1153	#123	—	26	1	no	—
1154	#123	—	26	1	no	—
1155	#123	—	26	1	no	—
1156	#123	—	26	1	no	—
1157	#123	—	26	1	no	—
1158	#123	—	26	1	no	—
1159	#123	—	26	1	no	—
1160	C₂²⋊Q₈	—	13	1	no	—
1161	C₂²⋊Q₈	—	13	1	no	—
1162	C₂²⋊Q₈	—	13	1	no	—
1163	C₂²⋊Q₈	—	13	1	no	—
1164	C₂²⋊Q₈	—	26	1	no	—
1165	C₂²⋊Q₈	—	26	1	no	—
1166	C₂²⋊Q₈	—	26	1	no	—
1167	C₂²⋊Q₈	—	26	1	no	—
1168	C₂²⋊Q₈	—	26	1	no	—
1169	C₂²⋊Q₈	—	26	1	no	—
1170	C₂²⋊Q₈	—	26	1	no	—
1171	C₂²⋊Q₈	—	26	1	no	—
1172	C₂²⋊Q₈	—	26	1	no	—
1173	C₂²⋊Q₈	—	26	1	no	—
1174	#121	—	13	1	no	—
1175	#121	—	13	1	no	—
1176	#121	—	13	1	no	—
1177	#121	—	13	1	no	—
1178	#121	—	13	1	no	—
1179	#121	—	13	1	no	—
1180	#121	—	13	1	no	—
1181	#121	—	13	1	no	—
1182	#121	—	26	1	no	—
1183	#121	—	26	1	no	—
1184	#121	—	26	1	no	—
1185	#121	—	26	1	no	—
1186	#121	—	26	1	no	—
1187	#121	—	26	1	no	—
1188	#121	—	26	1	no	—
1189	#121	—	26	1	no	—
1190	#121	—	26	1	no	—
1191	#121	—	26	1	no	—
1192	#121	—	26	1	no	—
1193	#121	—	26	1	no	—
1194	#120	—	26	1	no	—
1195	#120	—	26	1	no	—
1196	#120	—	26	1	no	—
1197	#120	—	26	1	no	—
1198	#120	—	26	1	no	—
1199	#120	—	26	1	no	—
1200	#120	—	26	1	no	—
1201	#120	—	26	1	no	—
1202	C₄×Q₈	—	13	1	no	—
1203	C₄×Q₈	—	13	1	no	—
1204	C₄×Q₈	—	13	1	no	—
1205	C₄×Q₈	—	13	1	no	—
1206	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1207	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	13	1	no	—
1213	C₄×D₄	—	13	1	no	—
1214	C₄×D₄	—	13	1	no	—
1215	C₄×D₄	—	13	1	no	—
1216	C₄×D₄	—	13	1	no	—
1217	C₄×D₄	—	13	1	no	—
1218	C₄×D₄	—	13	1	no	—
1219	C₄×D₄	—	13	1	no	—
1220	C₄×D₄	—	13	1	no	—
1221	C₄×D₄	—	13	1	no	—
1222	C₄×D₄	—	13	1	no	—
1223	C₄×D₄	—	13	1	no	—
1224	C₄×D₄	—	13	1	no	—
1225	C₄×D₄	—	13	1	no	—
1226	C₄×D₄	—	13	1	no	—
1227	C₄×D₄	—	13	1	no	—
1228	C₄×D₄	—	26	1	no	—
1229	C₄×D₄	—	26	1	no	—
1230	C₄×D₄	—	26	1	no	—
1231	C₄×D₄	—	26	1	no	—
1232	C₄×D₄	—	26	1	no	—
1233	C₄×D₄	—	26	1	no	—
1234	C₄×D₄	—	26	1	no	—
1235	C₄×D₄	—	26	1	no	—
1236	C₄×D₄	—	26	1	no	—
1237	C₄×D₄	—	26	1	no	—
1238	C₄×D₄	—	26	1	no	—
1239	C₄×D₄	—	26	1	no	—
1240	C₄×D₄	—	26	1	no	—
1241	C₄×D₄	—	26	1	no	—
1242	C₄×D₄	—	26	1	no	—
1243	C₄×D₄	—	26	1	no	—
1244	C₄×D₄	—	26	1	no	—
1245	C₄×D₄	—	26	1	no	—
1246	C₄×D₄	—	26	1	no	—
1247	C₄×D₄	—	26	1	no	—
1248	C₄×D₄	—	26	1	no	—
1249	C₄×D₄	—	26	1	no	—
1250	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1251	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1252	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1253	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1254	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1255	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1256	#117	—	2	1	no	—
1257	#117	—	13	1	no	—
1258	#117	—	13	1	no	—
1259	#117	—	13	1	no	—
1260	#117	—	13	1	no	—
1261	#117	—	26	1	no	—
1262	#117	—	26	1	no	—
1263	#117	—	26	1	no	—
1264	#117	—	26	1	no	—
1265	#117	—	26	1	no	—
1266	#117	C₂²×D₁₃	1	1	yes	characteristic
1267	C₂×C₄⋊C₄	—	13	1	no	—
1268	C₂×C₄⋊C₄	—	13	1	no	—
1269	C₂×C₄⋊C₄	—	13	1	no	—
1270	C₂×C₄⋊C₄	—	26	1	no	—
1271	C₂×C₄⋊C₄	—	26	1	no	—
1272	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1273	C₂×C₂²⋊C₄	—	2	1	no	—
1274	C₂×C₂²⋊C₄	—	26	1	no	—
1275	C₂×C₂²⋊C₄	—	26	1	no	—
1276	C₂×C₂²⋊C₄	—	26	1	no	—
1277	C₂×C₂²⋊C₄	—	26	1	no	—
1278	C₂×C₂²⋊C₄	—	26	1	no	—
1279	C₂×C₂²⋊C₄	—	26	1	no	—
1280	C₂×C₂²⋊C₄	—	26	1	no	—
1281	C₂×C₄²	—	2	1	no	—
1282	C₂×C₄²	—	13	1	no	—
1283	C₂×C₄²	—	13	1	no	—
1284	C₂×C₄²	—	26	1	no	—
1285	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1286	#107	—	13	1	no	—
1287	#107	—	13	1	no	—
1288	#107	—	13	1	no	—
1289	#107	—	13	1	no	—
1290	#107	—	13	1	no	—
1291	#107	—	13	1	no	—
1292	#107	—	13	1	no	—
1293	#107	—	13	1	no	—
1294	#107	C₂²×D₁₃	1	1	yes	characteristic
1295	#107	C₂²×D₁₃	1	1	yes	characteristic
1296	#106	—	13	1	no	—
1297	#106	—	13	1	no	—
1298	#106	—	13	1	no	—
1299	#106	—	13	1	no	—
1300	#106	C₂²×D₁₃	1	1	yes	characteristic
1301	#106	C₂²×D₁₃	1	1	yes	characteristic
1302	C₄⋊C₈	—	13	1	no	—
1303	C₄⋊C₈	—	13	1	no	—
1304	C₄⋊C₈	—	13	1	no	—
1305	C₄⋊C₈	—	13	1	no	—
1306	C₄⋊C₈	—	13	1	no	—
1307	C₄⋊C₈	—	13	1	no	—
1308	#103	—	13	1	no	—
1309	#103	—	13	1	no	—
1310	#103	—	13	1	no	—
1311	#103	—	13	1	no	—
1312	#103	—	13	1	no	—
1313	#103	—	13	1	no	—
1314	#103	C₂²×D₁₃	1	1	yes	characteristic
1315	#103	C₂²×D₁₃	1	1	yes	characteristic
1316	#102	—	13	1	no	—
1317	#102	—	13	1	no	—
1318	#102	—	13	1	no	—
1319	#102	—	13	1	no	—
1320	#102	—	13	1	no	—
1321	#102	—	13	1	no	—
1322	#102	—	13	1	no	—
1323	#102	—	13	1	no	—
1324	#102	—	13	1	no	—
1325	#102	—	13	1	no	—
1326	#102	—	13	1	no	—
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	C₂²×D₁₃	1	1	yes	characteristic
1335	#102	C₂²×D₁₃	1	1	yes	characteristic
1336	#102	C₂²×D₁₃	1	1	yes	characteristic
1337	#102	C₂²×D₁₃	1	1	yes	characteristic
1338	#102	C₂²×D₁₃	1	1	yes	characteristic
1339	#102	C₂²×D₁₃	1	1	yes	characteristic
1340	C₂²⋊C₈	—	13	1	no	—
1341	C₂²⋊C₈	—	13	1	no	—
1342	C₂²⋊C₈	—	13	1	no	—
1343	C₂²⋊C₈	—	13	1	no	—
1344	C₂²⋊C₈	—	13	1	no	—
1345	C₂²⋊C₈	—	13	1	no	—
1346	#97	—	13	1	no	—
1347	#97	—	13	1	no	—
1348	#97	C₂²×D₁₃	1	1	yes	characteristic
1349	#97	C₂²×D₁₃	1	1	yes	characteristic
1350	C₄×C₈	—	13	1	no	—
1351	C₄×C₈	—	13	1	no	—
1352	C₄×C₈	—	13	1	no	—
1353	C₄×C₈	—	13	1	no	—
1354	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1355	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1356	C₂×C₁₃	—	4	2	no	—
1357	C₂×C₁₃	—	4	2	no	—
1358	C₂×C₁₃	—	4	1	no	—
1359	C₂×C₁₃	—	8	1	no	—
1360	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1361	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1362	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1363	D₁₃	—	2	2	no	—
1364	D₁₃	—	4	1	no	—
1365	D₁₃	—	8	1	no	—
1366	D₁₃	—	8	1	no	—
1367	D₁₃	—	8	1	no	—
1368	C₂⁴	—	2	1	no	—
1369	C₂⁴	—	26	1	no	—
1370	C₂⁴	—	26	1	no	—
1371	C₂⁴	—	26	1	no	—
1372	#41	—	2	2	no	—
1373	#41	—	4	1	no	—
1374	#41	—	26	2	no	—
1375	#41	—	52	2	no	—
1376	#41	—	52	1	no	—
1377	#41	—	104	2	no	—
1378	#41	—	104	2	no	—
1379	C₂×Q₈	—	13	1	no	—
1380	C₂×Q₈	—	13	1	no	—
1381	C₂×Q₈	—	26	1	no	—
1382	C₂×Q₈	—	26	1	no	—
1383	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1384	C₂×D₄	—	2	2	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	4	1	no	—
1388	C₂×D₄	—	13	1	no	—
1389	C₂×D₄	—	13	1	no	—
1390	C₂×D₄	—	13	1	no	—
1391	C₂×D₄	—	13	1	no	—
1392	C₂×D₄	—	13	1	no	—
1393	C₂×D₄	—	13	1	no	—
1394	C₂×D₄	—	26	1	no	—
1395	C₂×D₄	—	26	1	no	—
1396	C₂×D₄	—	26	1	no	—
1397	C₂×D₄	—	26	1	no	—
1398	C₂×D₄	—	26	1	no	—
1399	C₂×D₄	—	26	1	no	—
1400	C₂×D₄	—	26	1	no	—
1401	C₂×D₄	—	26	1	no	—
1402	C₂×D₄	—	26	2	no	—
1403	C₂×D₄	—	26	2	no	—
1404	C₂×D₄	—	26	2	no	—
1405	C₂×D₄	—	26	1	no	—
1406	C₂×D₄	—	26	1	no	—
1407	C₂×D₄	—	26	1	no	—
1408	C₂×D₄	—	26	1	no	—
1409	C₂×D₄	—	26	1	no	—
1410	C₂×D₄	—	26	1	no	—
1411	C₂×D₄	—	26	1	no	—
1412	C₂×D₄	—	26	1	no	—
1413	C₂×D₄	—	52	4	no	—
1414	C₂×D₄	—	52	1	no	—
1415	C₂×D₄	—	52	1	no	—
1416	C₂×D₄	—	52	1	no	—
1417	C₂×D₄	—	52	4	no	—
1418	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1419	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1420	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	—	2	1	no	—
1429	C₂²×C₄	—	8	2	no	—
1430	C₂²×C₄	—	13	1	no	—
1431	C₂²×C₄	—	13	1	no	—
1432	C₂²×C₄	—	13	1	no	—
1433	C₂²×C₄	—	13	1	no	—
1434	C₂²×C₄	—	13	1	no	—
1435	C₂²×C₄	—	13	1	no	—
1436	C₂²×C₄	—	26	1	no	—
1437	C₂²×C₄	—	26	1	no	—
1438	C₂²×C₄	—	26	1	no	—
1439	C₂²×C₄	—	26	1	no	—
1440	C₂²×C₄	—	26	1	no	—
1441	C₂²×C₄	—	26	1	no	—
1442	C₂²×C₄	—	26	1	no	—
1443	C₂²×C₄	—	26	1	no	—
1444	C₂²×C₄	—	26	1	no	—
1445	C₂²×C₄	—	26	1	no	—
1446	C₂²×C₄	—	26	1	no	—
1447	C₂²×C₄	—	26	1	no	—
1448	C₂²×C₄	—	26	1	no	—
1449	C₂²×C₄	—	26	1	no	—
1450	C₂²×C₄	—	104	2	no	—
1451	C₂²×C₄	—	104	2	no	—
1452	C₂²×C₄	—	104	2	no	—
1453	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1454	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1455	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1456	Q₁₆	—	52	1	no	—
1457	SD₁₆	—	2	2	no	—
1458	SD₁₆	—	2	2	no	—
1459	SD₁₆	—	26	2	no	—
1460	SD₁₆	—	26	2	no	—
1461	SD₁₆	—	52	1	no	—
1462	SD₁₆	—	52	1	no	—
1463	D₈	—	2	2	no	—
1464	D₈	—	26	2	no	—
1465	D₈	—	26	2	no	—
1466	D₈	—	26	2	no	—
1467	D₈	—	26	2	no	—
1468	D₈	—	52	1	no	—
1469	D₈	—	52	1	no	—
1470	D₈	—	52	1	no	—
1471	D₈	#6127	1	4	yes	complemented
1472	M₁₆	—	2	2	no	—
1473	M₁₆	—	4	1	no	—
1474	M₁₆	—	26	2	no	—
1475	M₁₆	—	52	1	no	—
1476	C₂×C₈	—	13	1	no	—
1477	C₂×C₈	—	13	1	no	—
1478	C₂×C₈	—	13	1	no	—
1479	C₂×C₈	—	13	1	no	—
1480	C₂×C₈	—	26	2	no	—
1481	C₂×C₈	—	52	1	no	—
1482	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1483	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1484	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	13	1	no	—
1490	C₄⋊C₄	—	13	1	no	—
1491	C₄⋊C₄	—	13	1	no	—
1492	C₄⋊C₄	—	13	1	no	—
1493	C₄⋊C₄	—	13	1	no	—
1494	C₄⋊C₄	—	13	1	no	—
1495	C₄⋊C₄	—	13	1	no	—
1496	C₄⋊C₄	—	13	1	no	—
1497	C₄⋊C₄	—	13	1	no	—
1498	C₄⋊C₄	—	13	1	no	—
1499	C₄⋊C₄	—	26	1	no	—
1500	C₄⋊C₄	—	26	1	no	—
1501	C₄⋊C₄	—	26	1	no	—
1502	C₄⋊C₄	—	26	1	no	—
1503	C₄⋊C₄	—	26	1	no	—
1504	C₄⋊C₄	—	26	1	no	—
1505	C₄⋊C₄	—	26	1	no	—
1506	C₄⋊C₄	—	26	1	no	—
1507	C₄⋊C₄	—	26	1	no	—
1508	C₄⋊C₄	—	26	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1519	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1520	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1521	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	13	1	no	—
1530	C₂²⋊C₄	—	13	1	no	—
1531	C₂²⋊C₄	—	13	1	no	—
1532	C₂²⋊C₄	—	13	1	no	—
1533	C₂²⋊C₄	—	13	1	no	—
1534	C₂²⋊C₄	—	13	1	no	—
1535	C₂²⋊C₄	—	26	1	no	—
1536	C₂²⋊C₄	—	26	1	no	—
1537	C₂²⋊C₄	—	26	1	no	—
1538	C₂²⋊C₄	—	26	1	no	—
1539	C₂²⋊C₄	—	26	1	no	—
1540	C₂²⋊C₄	—	26	1	no	—
1541	C₂²⋊C₄	—	26	1	no	—
1542	C₂²⋊C₄	—	26	1	no	—
1543	C₂²⋊C₄	—	26	1	no	—
1544	C₂²⋊C₄	—	26	1	no	—
1545	C₂²⋊C₄	—	26	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₄²	—	2	1	no	—
1567	C₄²	—	2	1	no	—
1568	C₄²	—	2	1	no	—
1569	C₄²	—	13	1	no	—
1570	C₄²	—	13	1	no	—
1571	C₄²	—	13	1	no	—
1572	C₄²	—	13	1	no	—
1573	C₄²	—	13	1	no	—
1574	C₄²	—	13	1	no	—
1575	C₄²	—	26	1	no	—
1576	C₄²	—	26	1	no	—
1577	C₄²	—	26	1	no	—
1578	C₄²	D₄×D₁₃	1	1	yes	characteristic
1579	C₄²	D₄×D₁₃	1	1	yes	characteristic
1580	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1581	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1582	C₁₃	#61444	1	1	yes	characteristic, complemented, Sylow
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	4	2	no	—
1587	C₂³	—	4	2	no	—
1588	C₂³	—	8	1	no	—
1589	C₂³	—	13	1	no	—
1590	C₂³	—	13	1	no	—
1591	C₂³	—	26	1	no	—
1592	C₂³	—	26	1	no	—
1593	C₂³	—	26	1	no	—
1594	C₂³	—	52	2	no	—
1595	C₂³	—	52	2	no	—
1596	C₂³	—	52	2	no	—
1597	C₂³	—	52	2	no	—
1598	C₂³	—	52	2	no	—
1599	C₂³	—	52	2	no	—
1600	C₂³	—	104	1	no	—
1601	C₂³	—	104	1	no	—
1602	C₂³	—	104	1	no	—
1603	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1604	Q₈	—	2	1	no	—
1605	Q₈	—	2	1	no	—
1606	Q₈	—	26	1	no	—
1607	Q₈	—	26	1	no	—
1608	Q₈	—	52	1	no	—
1609	Q₈	—	104	1	no	—
1610	Q₈	—	104	1	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	2	1	no	—
1613	D₄	—	2	1	no	—
1614	D₄	—	2	1	no	—
1615	D₄	—	4	2	no	—
1616	D₄	—	4	2	no	—
1617	D₄	—	26	2	no	—
1618	D₄	—	26	2	no	—
1619	D₄	—	26	1	no	—
1620	D₄	—	26	1	no	—
1621	D₄	—	26	1	no	—
1622	D₄	—	26	1	no	—
1623	D₄	—	26	1	no	—
1624	D₄	—	26	1	no	—
1625	D₄	—	52	2	no	—
1626	D₄	—	52	2	no	—
1627	D₄	—	52	2	no	—
1628	D₄	—	52	1	no	—
1629	D₄	—	52	2	no	—
1630	D₄	—	52	2	no	—
1631	D₄	—	52	2	no	—
1632	D₄	—	52	2	no	—
1633	D₄	—	52	2	no	—
1634	D₄	—	52	2	no	—
1635	D₄	—	52	2	no	—
1636	D₄	—	104	1	no	—
1637	D₄	—	104	1	no	—
1638	D₄	—	104	1	no	—
1639	D₄	—	104	1	no	—
1640	D₄	—	104	1	no	—
1641	D₄	—	104	1	no	—
1642	D₄	C₂×#6127	1	2	yes	—
1643	D₄	C₂×#6127	1	2	yes	—
1644	C₂×C₄	—	2	2	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	4	1	no	—
1653	C₂×C₄	—	4	2	no	—
1654	C₂×C₄	—	4	2	no	—
1655	C₂×C₄	—	4	2	no	—
1656	C₂×C₄	—	4	2	no	—
1657	C₂×C₄	—	4	2	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	8	1	no	—
1660	C₂×C₄	—	8	1	no	—
1661	C₂×C₄	—	13	1	no	—
1662	C₂×C₄	—	13	1	no	—
1663	C₂×C₄	—	13	1	no	—
1664	C₂×C₄	—	13	1	no	—
1665	C₂×C₄	—	13	1	no	—
1666	C₂×C₄	—	13	1	no	—
1667	C₂×C₄	—	26	2	no	—
1668	C₂×C₄	—	26	2	no	—
1669	C₂×C₄	—	26	2	no	—
1670	C₂×C₄	—	26	1	no	—
1671	C₂×C₄	—	26	1	no	—
1672	C₂×C₄	—	26	1	no	—
1673	C₂×C₄	—	26	1	no	—
1674	C₂×C₄	—	26	1	no	—
1675	C₂×C₄	—	26	1	no	—
1676	C₂×C₄	—	26	1	no	—
1677	C₂×C₄	—	26	1	no	—
1678	C₂×C₄	—	26	1	no	—
1679	C₂×C₄	—	52	1	no	—
1680	C₂×C₄	—	52	2	no	—
1681	C₂×C₄	—	52	2	no	—
1682	C₂×C₄	—	52	2	no	—
1683	C₂×C₄	—	52	2	no	—
1684	C₂×C₄	—	52	2	no	—
1685	C₂×C₄	—	104	1	no	—
1686	C₂×C₄	—	104	1	no	—
1687	C₂×C₄	—	104	1	no	—
1688	C₂×C₄	—	104	1	no	—
1689	C₂×C₄	—	104	1	no	—
1690	C₂×C₄	—	104	1	no	—
1691	C₂×C₄	—	104	1	no	—
1692	C₂×C₄	—	104	1	no	—
1693	C₂×C₄	—	104	1	no	—
1694	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1695	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1696	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1697	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1698	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1699	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1700	C₈	—	2	1	no	—
1701	C₈	—	2	1	no	—
1702	C₈	—	2	1	no	—
1703	C₈	—	26	1	no	—
1704	C₈	—	26	1	no	—
1705	C₈	—	26	1	no	—
1706	C₈	—	26	1	no	—
1707	C₈	C₂×#6127	1	2	yes	—
1708	C₂²	—	2	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	2	no	—
1712	C₂²	—	2	2	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	8	4	no	—
1721	C₂²	—	13	2	no	—
1722	C₂²	—	26	1	no	—
1723	C₂²	—	26	1	no	—
1724	C₂²	—	26	1	no	—
1725	C₂²	—	26	1	no	—
1726	C₂²	—	26	1	no	—
1727	C₂²	—	52	1	no	—
1728	C₂²	—	52	1	no	—
1729	C₂²	—	52	1	no	—
1730	C₂²	—	52	1	no	—
1731	C₂²	—	52	1	no	—
1732	C₂²	—	52	1	no	—
1733	C₂²	—	52	1	no	—
1734	C₂²	—	52	1	no	—
1735	C₂²	—	52	1	no	—
1736	C₂²	—	104	4	no	—
1737	C₂²	—	104	4	no	—
1738	C₂²	—	104	4	no	—
1739	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	4	1	no	—
1746	C₄	—	4	1	no	—
1747	C₄	—	4	1	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	26	1	no	—
1750	C₄	—	26	1	no	—
1751	C₄	—	26	1	no	—
1752	C₄	—	26	1	no	—
1753	C₄	—	26	1	no	—
1754	C₄	—	26	1	no	—
1755	C₄	—	52	1	no	—
1756	C₄	—	52	1	no	—
1757	C₄	—	52	1	no	—
1758	C₄	—	52	1	no	—
1759	C₄	—	52	1	no	—
1760	C₄	#11719479	1	2	yes	—
1761	C₄	C₂²×#6127	1	1	yes	characteristic
1762	C₄	#11719648	1	1	yes	characteristic
1763	C₂	—	4	1	no	—
1764	C₂	—	4	2	no	—
1765	C₂	—	4	2	no	—
1766	C₂	—	8	1	no	—
1767	C₂	—	26	2	no	—
1768	C₂	—	52	1	no	—
1769	C₂	—	104	1	no	—
1770	C₂	—	104	1	no	—
1771	C₂	—	104	1	no	—
1772	C₂	D₄×#6127	1	1	yes	characteristic
1773	C₂	D₁₃×#575	1	1	yes	characteristic
1774	C₂	C₂×#11719479	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₄×C₁₃×AGL(1,ℤ/8)	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	C₄×AGL(1,ℤ/8)	D₁₃
hypocenter	C₁₃	#61444
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×AGL(1,ℤ/8)

Complements

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

N	H ≅ G/N	type
1. #13128446	C₂	semidirect
2. #13128440	C₂	semidirect
3. #13127925	C₂	semidirect
4. #13127795	C₂	semidirect
5. #13127594	C₂	semidirect
6. #13127590	C₂	semidirect
7. #13127438	C₂	semidirect
8. #13127326	C₂	semidirect
9. #13127322	C₂	semidirect
10. #13127038	C₂	semidirect
11. #13127033	C₂	semidirect
12. #13126982	C₂	semidirect
13. #13126978	C₂	semidirect
14. #13126922	C₂	semidirect
15. #13126918	C₂	semidirect
16. #13126441	C₂	semidirect
17. #13126318	C₂	semidirect
18. #13126310	C₂	semidirect
19. #13125431	C₂	semidirect
20. #13125427	C₂	semidirect
21. #13125402	C₂	semidirect
22. #13124887	C₂	semidirect
23. #13124881	C₂	semidirect
24. #13124858	C₂	semidirect
25. #13124854	C₂	semidirect
26. #13124836	C₂	semidirect
27. #13124834	C₂	semidirect
28. #13123798	C₂	semidirect
29. C₄×#88165	C₂	semidirect
30. C₄×D₈×D₁₃	C₂	semidirect
31. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
33. C₄×C₁₃×#41	C₂²	semidirect
34. C₂×C₄×D₄×C₁₃	C₂²	semidirect
36. #11719534	C₂²	semidirect
37. #11719511	C₂²	semidirect
38. D₄×C₂²⋊D₁₃	C₂²	semidirect
43. #11719290	C₂²	semidirect
44. #11719285	C₂²	semidirect
45. #11719285	C₂²	semidirect
46. #11719284	C₂²	semidirect
48. #11719264	C₂²	semidirect
50. #11719262	C₂²	semidirect
54. D₄×D₅₂	C₂²	semidirect
55. #11719253	C₂²	semidirect
59. C₄×D₄×D₁₃	C₂²	semidirect
60. C₄×D₄×D₁₃	C₂²	semidirect
61. C₄×D₄×D₁₃	C₂²	semidirect
62. #11719248	C₂²	semidirect
64. #11719244	C₂²	semidirect
66. C₄×#6129	C₂²	semidirect
68. #11719235	C₂²	semidirect
71. #11719219	C₂²	semidirect
72. #11719216	C₂²	semidirect
76. #11719184	C₂²	semidirect
77. #11719182	C₂²	semidirect
81. C₁₃×#442	C₂²	semidirect
82. C₁₃×#440	C₂²	semidirect
83. C₁₃×#440	C₂²	semidirect
84. C₄×C₁₃×SD₁₆	C₂²	semidirect
85. C₄×C₁₃×SD₁₆	C₂²	semidirect
87. C₄×C₁₃×D₈	C₂²	semidirect
88. C₁₃×#428	C₂²	semidirect
89. C₁₃×#418	C₂²	semidirect
90. C₁₃×#417	C₂²	semidirect
91. C₄×C₁₃×M₁₆	C₂²	semidirect
92. #11718900	C₂²	semidirect
94. #11718878	C₂²	semidirect
95. #11718878	C₂²	semidirect
96. #11718837	C₂²	semidirect
97. #11718835	C₂²	semidirect
98. #11718834	C₂²	semidirect
99. #11718832	C₂²	semidirect
100. #11718830	C₂²	semidirect
101. #11718829	C₂²	semidirect
102. #11718826	C₂²	semidirect
103. #11718826	C₂²	semidirect
105. #11718817	C₂²	semidirect
106. #11718814	C₂²	semidirect
110. #11718796	C₂²	semidirect
111. #11718796	C₂²	semidirect
112. #11718795	C₂²	semidirect
113. #11718795	C₂²	semidirect
114. #11718789	C₂²	semidirect
115. #11718789	C₂²	semidirect
116. #11718788	C₂²	semidirect
117. #11718788	C₂²	semidirect
118. C₄×#6107	C₂²	semidirect
119. #11718689	C₂²	semidirect
120. C₄×#6106	C₂²	semidirect
121. #11718683	C₂²	semidirect
122. C₄×#6105	C₂²	semidirect
123. #11718677	C₂²	semidirect
125. #11718676	C₂²	semidirect
126. C₄×#6104	C₂²	semidirect
127. C₄×#6104	C₂²	semidirect
128. C₄×#6104	C₂²	semidirect
129. C₄×#6104	C₂²	semidirect
130. C₄×#6104	C₂²	semidirect
131. #11718670	C₂²	semidirect
132. #11718668	C₂²	semidirect
133. #11718668	C₂²	semidirect
134. #11718664	C₂²	semidirect
135. #11718657	C₂²	semidirect
136. #11718628	C₂²	semidirect
137. #11718628	C₂²	semidirect
138. #11718586	C₂²	semidirect
139. #11718552	C₂²	semidirect
140. #11718551	C₂²	semidirect
141. #11718550	C₂²	semidirect
142. #11718545	C₂²	semidirect
143. #11718543	C₂²	semidirect
144. #11718542	C₂²	semidirect
145. D₁₃×#107	C₂²	semidirect
146. #11718533	C₂²	semidirect
147. #11718532	C₂²	semidirect
148. #11718527	C₂²	semidirect
149. #11718526	C₂²	semidirect
150. #11718525	C₂²	semidirect
151. #11718524	C₂²	semidirect
152. #11718519	C₂²	semidirect
153. #11718518	C₂²	semidirect
154. #11718517	C₂²	semidirect
155. #11718480	C₂²	semidirect
156. #11718476	C₂²	semidirect
157. #11718474	C₂²	semidirect
158. #11718473	C₂²	semidirect
159. #11718470	C₂²	semidirect
160. #11718461	C₂²	semidirect
161. #11718459	C₂²	semidirect
162. #11718456	C₂²	semidirect
163. #11718448	C₂²	semidirect
164. #11718447	C₂²	semidirect
165. #11718446	C₂²	semidirect
166. #11718443	C₂²	semidirect
168. #11718438	C₂²	semidirect
169. #11718437	C₂²	semidirect
171. #11718435	C₂²	semidirect
173. #11718434	C₂²	semidirect
174. #11718432	C₂²	semidirect
175. #11718431	C₂²	semidirect
176. D₁₃×#102	C₂²	semidirect
177. D₁₃×#102	C₂²	semidirect
178. #11718429	C₂²	semidirect
179. #11718427	C₂²	semidirect
180. #11718425	C₂²	semidirect
181. #11718424	C₂²	semidirect
182. #11718424	C₂²	semidirect
183. #11718420	C₂²	semidirect
184. #11718418	C₂²	semidirect
185. #11718417	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718375	C₂²	semidirect
188. #11718374	C₂²	semidirect
189. #11718373	C₂²	semidirect
190. #11718367	C₂²	semidirect
191. #11718367	C₂²	semidirect
192. #11718363	C₂²	semidirect
193. #11718362	C₂²	semidirect
194. #11718362	C₂²	semidirect
195. C₄×D₁₀₄	C₂²	semidirect
196. C₄×D₁₀₄	C₂²	semidirect
197. C₄×#6095	C₂²	semidirect
198. C₄×#6095	C₂²	semidirect
199. C₄×#6094	C₂²	semidirect
200. #11718346	C₂²	semidirect
201. #11718346	C₂²	semidirect
202. C₄×C₈×D₁₃	C₂²	semidirect
573. C₁₃×D₈	#41	semidirect
725. C₄×AGL(1,ℤ/8)	D₁₃	semidirect
893. C₄×#41	C₂×D₁₃	semidirect
899. C₂×C₄×D₄	C₂×D₁₃	semidirect
977. #442	C₂×D₁₃	semidirect
980. #440	C₂×D₁₃	semidirect
981. #440	C₂×D₁₃	semidirect
987. C₄×SD₁₆	C₂×D₁₃	semidirect
988. C₄×SD₁₆	C₂×D₁₃	semidirect
1001. C₄×D₈	C₂×D₁₃	semidirect
1012. #428	C₂×D₁₃	semidirect
1015. #418	C₂×D₁₃	semidirect
1017. #417	C₂×D₁₃	semidirect
1021. C₄×M₁₆	C₂×D₁₃	semidirect
1471. D₈	#6127	semidirect
1582. C₁₃	#61444	semidirect

Maximal subgroups

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

subgroup	index
#13128446	2
#13128440	2
#13127925	2
#13127795	2
#13127594	2
#13127590	2
#13127438	2
#13127326	2
#13127322	2
#13127038	2
#13127033	2
#13126982	2
#13126978	2
#13126922	2
#13126918	2
#13126441	2
#13126318	2
#13126310	2
#13125431	2
#13125427	2
#13125402	2
#13124887	2
#13124881	2
#13124858	2
#13124854	2
#13124836	2
#13124834	2
#13123798	2
C₄×#88165	2
C₄×D₈×D₁₃	2
C₄×C₁₃×AGL(1,ℤ/8)	2
#61444	13