Subgroups — #16731655

Order 3328.

2274 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128563	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125075	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125074	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125073	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125022	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125020	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125015	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125013	C₂	1	1	yes	maximal, characteristic, complemented
10	#13124979	C₂	1	1	yes	maximal, characteristic, complemented
11	#13124972	C₂	1	1	yes	maximal, characteristic, complemented
12	#13124926	C₂	1	1	yes	maximal, characteristic, complemented
13	#13124925	C₂	1	1	yes	maximal, characteristic, complemented
14	#13124888	C₂	1	1	yes	maximal, characteristic, complemented
15	#13124881	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124835	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124834	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124775	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124748	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124666	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124664	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124334	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124334	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124060	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
26	#13123685	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123683	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123665	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123661	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123492	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3122	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
35	#11719503	C₂²	1	1	yes	characteristic, complemented
36	C₂×#88165	C₂²	1	1	yes	characteristic
37	C₂×#88165	C₂²	1	1	yes	characteristic
38	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
40	#11719421	C₂²	1	1	yes	characteristic, complemented
41	#11719420	C₂²	1	1	yes	characteristic, complemented
42	#11719396	C₂²	1	1	yes	characteristic, complemented
43	#11719394	C₂²	1	1	yes	characteristic, complemented
44	#11719366	—	2	1	no	—
45	#11719364	—	2	1	no	—
46	#11719363	—	2	1	no	—
47	#11719360	—	2	1	no	—
48	#11719324	C₂²	1	1	yes	characteristic, complemented
49	#11719321	—	2	1	no	—
50	#11719317	—	2	1	no	—
51	#11719315	—	2	1	no	—
52	#11719311	C₂²	1	1	yes	characteristic
53	D₁₃×#121	C₂²	1	1	yes	characteristic
54	#11719308	C₂²	1	1	yes	characteristic, complemented
55	#11719306	—	2	1	no	—
56	#11719262	C₂²	1	1	yes	characteristic, complemented
57	#11719253	C₂²	1	1	yes	characteristic, complemented
58	#11719251	C₂²	1	1	yes	characteristic, complemented
59	#11719250	—	2	1	no	—
60	#11719250	—	2	1	no	—
61	#11719250	C₂²	1	1	yes	characteristic
62	#11719250	C₂²	1	1	yes	characteristic
63	#11719250	C₂²	1	1	yes	characteristic
64	#11719250	C₂²	1	1	yes	characteristic
65	#11719250	C₂²	1	1	yes	characteristic, complemented
66	C₄×D₄×D₁₃	—	2	1	no	—
67	C₄×D₄×D₁₃	—	2	1	no	—
68	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
69	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
70	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
72	#11719239	C₂²	1	1	yes	characteristic, complemented
73	#11719226	C₂²	1	1	yes	characteristic, complemented
74	#11719226	C₂²	1	1	yes	characteristic, complemented
75	D₁₃×#117	C₂²	1	1	yes	characteristic
76	D₁₃×#117	C₂²	1	1	yes	characteristic
77	#11719191	—	2	1	no	—
78	#11719191	—	2	1	no	—
79	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
80	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
81	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#447	C₂²	1	1	yes	characteristic
88	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
94	#11718879	C₂²	1	1	yes	characteristic, complemented
95	#11718878	C₂²	1	1	yes	characteristic
96	#11718817	C₂²	1	1	yes	characteristic
97	#11718817	C₂²	1	1	yes	characteristic
98	#11718817	C₂²	1	1	yes	characteristic, complemented
99	#11718817	C₂²	1	1	yes	characteristic, complemented
100	#11718814	C₂²	1	1	yes	characteristic, complemented
101	#11718814	C₂²	1	1	yes	characteristic, complemented
102	#11718813	C₂²	1	1	yes	characteristic, complemented
103	#11718813	C₂²	1	1	yes	characteristic, complemented
104	#11718811	C₂²	1	1	yes	characteristic, complemented
105	#11718811	C₂²	1	1	yes	characteristic, complemented
106	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718733	C₂²	1	1	yes	characteristic, complemented
109	#11718733	C₂²	1	1	yes	characteristic, complemented
110	#11718727	C₂²	1	1	yes	characteristic, complemented
111	#11718727	C₂²	1	1	yes	characteristic, complemented
112	#11718697	C₂²	1	1	yes	characteristic
113	#11718697	C₂²	1	1	yes	characteristic, complemented
114	#11718696	C₂²	1	1	yes	characteristic, complemented
115	#11718696	C₂²	1	1	yes	characteristic, complemented
116	#11718679	C₂²	1	1	yes	characteristic, complemented
117	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
118	#11718677	C₂²	1	1	yes	characteristic, complemented
119	#11718677	C₂²	1	1	yes	characteristic, complemented
120	#11718675	C₂²	1	1	yes	characteristic, complemented
121	#11718675	C₂²	1	1	yes	characteristic, complemented
122	#11718675	C₂²	1	1	yes	characteristic, complemented
123	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
124	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
125	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
126	#11718669	C₂²	1	1	yes	characteristic, complemented
127	#11718668	C₂²	1	1	yes	characteristic, complemented
128	#11718664	C₂²	1	1	yes	characteristic, complemented
129	#11718661	C₂²	1	1	yes	characteristic, complemented
130	#11718657	C₂²	1	1	yes	characteristic, complemented
131	#11718552	C₂²	1	1	yes	characteristic, complemented
132	#11718551	C₂²	1	1	yes	characteristic, complemented
133	#11718550	C₂²	1	1	yes	characteristic, complemented
134	#11718545	C₂²	1	1	yes	characteristic, complemented
135	#11718543	C₂²	1	1	yes	characteristic, complemented
136	#11718542	C₂²	1	1	yes	characteristic, complemented
137	#11718541	C₂²	1	1	yes	characteristic, complemented
138	#11718533	C₂²	1	1	yes	characteristic, complemented
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718530	C₂²	1	1	yes	characteristic, complemented
142	#11718524	C₂²	1	1	yes	characteristic, complemented
143	#11718523	C₂²	1	1	yes	characteristic, complemented
144	#11718522	C₂²	1	1	yes	characteristic, complemented
145	#11718521	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718507	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718505	C₂²	1	1	yes	characteristic, complemented
150	#11718503	C₂²	1	1	yes	characteristic, complemented
151	#11718500	C₂²	1	1	yes	characteristic, complemented
152	#11718500	C₂²	1	1	yes	characteristic, complemented
153	#11718496	C₂²	1	1	yes	characteristic, complemented
154	#11718494	C₂²	1	1	yes	characteristic, complemented
155	#11718448	C₂²	1	1	yes	characteristic, complemented
156	#11718448	C₂²	1	1	yes	characteristic, complemented
157	#11718447	C₂²	1	1	yes	characteristic, complemented
158	#11718447	C₂²	1	1	yes	characteristic, complemented
159	#11718446	C₂²	1	1	yes	characteristic, complemented
160	#11718446	C₂²	1	1	yes	characteristic, complemented
161	#11718446	C₂²	1	1	yes	characteristic, complemented
162	#11718438	C₂²	1	1	yes	characteristic, complemented
163	#11718438	C₂²	1	1	yes	characteristic, complemented
164	#11718437	C₂²	1	1	yes	characteristic, complemented
165	#11718437	C₂²	1	1	yes	characteristic, complemented
166	#11718435	C₂²	1	1	yes	characteristic, complemented
167	#11718435	C₂²	1	1	yes	characteristic, complemented
168	#11718434	C₂²	1	1	yes	characteristic
169	#11718434	C₂²	1	1	yes	characteristic
170	#11718433	C₂²	1	1	yes	characteristic, complemented
171	#11718433	C₂²	1	1	yes	characteristic, complemented
172	#11718431	C₂²	1	1	yes	characteristic
173	#11718431	C₂²	1	1	yes	characteristic
174	#11718431	C₂²	1	1	yes	characteristic, complemented
175	#11718431	C₂²	1	1	yes	characteristic, complemented
176	D₁₃×#102	C₂²	1	1	yes	characteristic
177	D₁₃×#102	C₂²	1	1	yes	characteristic
178	#11718427	C₂²	1	1	yes	characteristic, complemented
179	#11718424	C₂²	1	1	yes	characteristic, complemented
180	#11718422	C₂²	1	1	yes	characteristic, complemented
181	#11718420	C₂²	1	1	yes	characteristic, complemented
182	#11718419	C₂²	1	1	yes	characteristic, complemented
183	#11718418	C₂²	1	1	yes	characteristic, complemented
184	#11718417	C₂²	1	1	yes	characteristic, complemented
185	#11718417	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718398	C₂²	1	1	yes	characteristic, complemented
188	#11718393	C₂²	1	1	yes	characteristic
189	#11718392	C₂²	1	1	yes	characteristic, complemented
190	#11718387	C₂²	1	1	yes	characteristic
191	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
192	#11718384	C₂²	1	1	yes	characteristic, complemented
193	#11718381	C₂²	1	1	yes	characteristic, complemented
194	#11718381	C₂²	1	1	yes	characteristic, complemented
195	#11718372	C₂²	1	1	yes	characteristic, complemented
196	#11718371	C₂²	1	1	yes	characteristic, complemented
197	#11718369	C₂²	1	1	yes	characteristic, complemented
198	#11718366	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718350	C₂²	1	1	yes	characteristic, complemented
202	#11718346	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂×#6129	—	2	1	no	—
207	C₂×#6129	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₃	—	2	4	no	—
209	C₂×D₄×D₁₃	—	2	4	no	—
210	C₂×D₄×D₁₃	—	2	1	no	—
211	C₂×D₄×D₁₃	—	2	1	no	—
212	C₂×D₄×D₁₃	—	2	1	no	—
213	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×#6127	—	2	1	no	—
219	C₂²×D₅₂	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₁₃	—	2	1	no	—
221	C₂²×C₄×D₁₃	—	2	1	no	—
222	C₂²×C₄×D₁₃	—	2	1	no	—
223	C₂²×C₄×D₁₃	—	2	1	no	—
224	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₁₃×#127	C₂³	1	1	yes	characteristic, complemented
230	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
231	C₁₃×#123	—	2	1	no	—
232	C₁₃×#123	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₁₃×#117	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
250	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
251	#88194	C₂³	1	1	yes	characteristic, complemented
252	#88193	—	2	1	no	—
253	#88193	—	2	1	no	—
254	#88193	—	2	1	no	—
255	#88193	—	2	1	no	—
256	#88192	—	2	1	no	—
257	#88192	—	2	1	no	—
258	#88192	C₂³	1	1	yes	characteristic
259	#88192	C₂³	1	1	yes	characteristic
260	#88191	—	2	1	no	—
261	#88191	—	2	1	no	—
262	#88191	—	2	1	no	—
263	#88190	—	2	1	no	—
264	#88190	—	2	1	no	—
265	#88190	C₂³	1	1	yes	characteristic, complemented
266	#88189	—	2	1	no	—
267	D₄×Dic₁₃	—	2	1	no	—
268	D₄×Dic₁₃	—	2	1	no	—
269	D₄×Dic₁₃	—	2	1	no	—
270	D₄×Dic₁₃	—	2	1	no	—
271	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	D₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
276	D₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
277	C₂×#6105	C₂³	1	1	yes	characteristic
278	C₂×#6105	C₂³	1	1	yes	characteristic
279	C₂×#6104	C₂³	1	1	yes	characteristic
280	C₂×#6104	C₂³	1	1	yes	characteristic
281	C₂×#6104	C₂³	1	1	yes	characteristic
282	C₂×#6104	C₂³	1	1	yes	characteristic
283	C₂×#6104	C₂³	1	1	yes	characteristic
284	C₂×#6104	C₂³	1	1	yes	characteristic
285	#88184	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
298	C₂×#6103	—	2	1	no	—
299	C₂×#6103	—	2	1	no	—
300	C₂×#6103	—	2	1	no	—
301	C₂×#6103	—	2	1	no	—
302	C₂×#6103	—	2	1	no	—
303	#88180	—	2	1	no	—
304	#88180	C₂³	1	1	yes	characteristic
305	#88180	C₂³	1	1	yes	characteristic
306	#88178	C₂³	1	1	yes	characteristic
307	C₂×#6101	—	2	1	no	—
308	#88165	—	2	4	no	—
309	#88165	—	2	4	no	—
310	D₈×D₁₃	—	2	4	no	—
311	D₈×D₁₃	—	2	4	no	—
312	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
313	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
314	C₂×#6095	C₂³	1	1	yes	characteristic
315	C₂×#6095	C₂³	1	1	yes	characteristic
316	C₂×#6094	C₂³	1	1	yes	characteristic
317	C₂×#6094	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
320	#88152	—	2	1	no	—
321	#88152	—	2	1	no	—
322	#88151	—	2	1	no	—
323	#88151	C₂³	1	1	yes	characteristic
324	#88150	—	2	1	no	—
325	#88150	—	2	1	no	—
326	#88149	C₂³	1	1	yes	characteristic
327	#88148	—	2	1	no	—
328	#88147	—	2	1	no	—
329	#88147	—	2	1	no	—
330	#88147	—	2	1	no	—
331	#88147	C₂³	1	1	yes	characteristic
332	#88147	C₂³	1	1	yes	characteristic
333	#88147	C₂³	1	1	yes	characteristic
334	#88147	C₂³	1	1	yes	characteristic
335	#88147	C₂³	1	1	yes	characteristic, complemented
336	#88146	—	2	1	no	—
337	#88146	D₄	1	1	yes	characteristic
338	#88146	D₄	1	1	yes	characteristic
339	#88146	C₂³	1	1	yes	characteristic
340	#88146	C₂³	1	1	yes	characteristic
341	#88146	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
346	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
347	#88144	C₂³	1	1	yes	characteristic, complemented
348	#88143	—	2	1	no	—
349	#88142	—	2	1	no	—
350	#88142	C₂³	1	1	yes	characteristic, complemented
351	#88141	C₂³	1	1	yes	characteristic, complemented
352	#88140	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88139	—	2	1	no	—
355	#88138	—	2	1	no	—
356	#88138	—	2	1	no	—
357	#88137	—	2	1	no	—
358	#88137	—	2	1	no	—
359	#88137	—	2	1	no	—
360	#88137	—	2	1	no	—
361	#88135	—	2	1	no	—
362	#88135	—	2	1	no	—
363	#88135	—	2	1	no	—
364	#88135	—	2	1	no	—
365	#88135	—	2	1	no	—
366	#88135	—	2	1	no	—
367	#88135	—	2	1	no	—
368	#88135	—	2	1	no	—
369	#88135	—	2	1	no	—
370	#88135	—	2	1	no	—
371	#88135	—	2	1	no	—
372	C₂²⋊C₄×D₁₃	—	2	1	no	—
373	C₂²⋊C₄×D₁₃	—	2	1	no	—
374	C₂²⋊C₄×D₁₃	—	2	1	no	—
375	C₂²⋊C₄×D₁₃	—	2	1	no	—
376	C₂²⋊C₄×D₁₃	—	2	1	no	—
377	C₂²⋊C₄×D₁₃	—	2	1	no	—
378	C₂²⋊C₄×D₁₃	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	C₂²⋊C₄×D₁₃	—	2	1	no	—
382	C₂²⋊C₄×D₁₃	—	2	1	no	—
383	C₂²⋊C₄×D₁₃	—	2	1	no	—
384	C₂²⋊C₄×D₁₃	—	2	1	no	—
385	C₂²⋊C₄×D₁₃	—	2	1	no	—
386	C₂²⋊C₄×D₁₃	—	2	1	no	—
387	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
388	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
389	#88133	—	2	1	no	—
390	#88133	—	2	1	no	—
391	#88132	—	2	1	no	—
392	#88131	—	2	1	no	—
393	#88131	—	2	1	no	—
394	#88131	D₄	1	1	yes	characteristic
395	#88131	D₄	1	1	yes	characteristic
396	#88129	C₂³	1	1	yes	characteristic, complemented
397	C₄×D₅₂	—	2	1	no	—
398	C₄×D₅₂	—	2	1	no	—
399	C₄×D₅₂	C₂³	1	1	yes	characteristic
400	C₄×D₅₂	C₂³	1	1	yes	characteristic
401	C₄×D₅₂	C₂³	1	1	yes	characteristic
402	C₄×D₅₂	C₂³	1	1	yes	characteristic
403	C₄×D₅₂	C₂³	1	1	yes	characteristic, complemented
404	#88126	—	2	1	no	—
405	#88126	C₂³	1	1	yes	characteristic
406	#88126	C₂³	1	1	yes	characteristic
407	C₄²×D₁₃	—	2	1	no	—
408	C₄²×D₁₃	C₂³	1	1	yes	characteristic
409	C₄²×D₁₃	C₂³	1	1	yes	characteristic
410	#88123	C₂³	1	1	yes	characteristic, complemented
411	C₄×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
412	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
413	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
414	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
415	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
417	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
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, complemented
423	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
424	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
425	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
429	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
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, complemented
435	#88072	C₂³	1	1	yes	characteristic, complemented
436	#88072	C₂³	1	1	yes	characteristic, complemented
437	#88072	C₂³	1	1	yes	characteristic, complemented
438	C₂²⋊#1055	C₂³	1	1	yes	characteristic
439	C₂²⋊#1055	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	#88061	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic, complemented
445	#88061	C₂³	1	1	yes	characteristic, complemented
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88060	C₂³	1	1	yes	characteristic
449	#88060	C₂³	1	1	yes	characteristic
450	#88058	C₂³	1	1	yes	characteristic, complemented
451	#88058	C₂³	1	1	yes	characteristic, complemented
452	#88057	C₂³	1	1	yes	characteristic, complemented
453	#88057	C₂³	1	1	yes	characteristic, complemented
454	#88056	C₂³	1	1	yes	characteristic, complemented
455	#88056	C₂³	1	1	yes	characteristic, complemented
456	#88055	C₂³	1	1	yes	characteristic, complemented
457	#88055	C₂³	1	1	yes	characteristic, complemented
458	#88054	C₂³	1	1	yes	characteristic, complemented
459	#88054	C₂³	1	1	yes	characteristic, complemented
460	#88054	C₂³	1	1	yes	characteristic, complemented
461	#88054	C₂³	1	1	yes	characteristic, complemented
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
464	#88050	C₂³	1	1	yes	characteristic, complemented
465	#88050	C₂³	1	1	yes	characteristic, complemented
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, complemented
471	#88049	C₂³	1	1	yes	characteristic, complemented
472	#88048	C₂³	1	1	yes	characteristic, complemented
473	#88048	C₂³	1	1	yes	characteristic, complemented
474	#88048	C₂³	1	1	yes	characteristic, complemented
475	#88048	C₂³	1	1	yes	characteristic, complemented
476	#88047	C₂³	1	1	yes	characteristic, complemented
477	#88047	C₂³	1	1	yes	characteristic, complemented
478	#88047	C₂³	1	1	yes	characteristic, complemented
479	#88047	C₂³	1	1	yes	characteristic, complemented
480	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
481	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
482	#88043	C₂³	1	1	yes	characteristic, complemented
483	C₄×#1055	C₂³	1	1	yes	characteristic, complemented
484	#60578	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	8	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	8	2	no	—
494	C₂³×D₁₃	—	8	2	no	—
495	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
496	C₂×D₄×C₁₃	—	2	2	no	—
497	C₂×D₄×C₁₃	—	2	2	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×C₂²⋊D₁₃	—	2	8	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	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	—	2	1	no	—
530	C₂²×Dic₁₃	—	2	1	no	—
531	C₂²×Dic₁₃	—	2	1	no	—
532	C₂²×Dic₁₃	—	2	1	no	—
533	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
534	#6129	—	2	2	no	—
535	#6129	—	2	2	no	—
536	#6129	—	8	2	no	—
537	D₄×D₁₃	—	2	8	no	—
538	D₄×D₁₃	—	2	8	no	—
539	D₄×D₁₃	—	2	2	no	—
540	D₄×D₁₃	—	2	2	no	—
541	D₄×D₁₃	—	2	2	no	—
542	D₄×D₁₃	—	2	2	no	—
543	D₄×D₁₃	—	2	2	no	—
544	D₄×D₁₃	—	2	2	no	—
545	D₄×D₁₃	—	2	2	no	—
546	D₄×D₁₃	—	2	2	no	—
547	D₄×D₁₃	—	8	2	no	—
548	D₄×D₁₃	#41	1	4	yes	complemented
549	D₄×D₁₃	#41	1	4	yes	complemented
550	#6127	—	8	2	no	—
551	C₂×D₅₂	—	2	1	no	—
552	C₂×D₅₂	—	2	2	no	—
553	C₂×D₅₂	—	2	2	no	—
554	C₂×D₅₂	—	2	1	no	—
555	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
556	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
557	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₁₃	—	2	2	no	—
559	C₂×C₄×D₁₃	—	2	2	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	8	2	no	—
574	C₂×C₄×D₁₃	—	8	2	no	—
575	C₂×C₄×D₁₃	—	8	2	no	—
576	C₂×C₄×D₁₃	—	8	2	no	—
577	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₂₆	—	2	1	no	—
586	C₂×Dic₂₆	—	2	1	no	—
587	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
588	C₁₃×D₈	—	2	2	no	—
589	C₁₃×D₈	—	2	2	no	—
590	C₁₃×D₈	—	2	2	no	—
591	C₁₃×D₈	—	2	2	no	—
592	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	—	2	1	no	—
608	C₁₃×C₂²⋊C₄	—	2	1	no	—
609	C₁₃×C₂²⋊C₄	—	2	1	no	—
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₄²×C₁₃	—	2	1	no	—
616	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
617	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	—	2	1	no	—
623	C₂²⋊Dic₁₃	—	2	1	no	—
624	C₂²⋊Dic₁₃	—	2	1	no	—
625	C₂²⋊Dic₁₃	—	2	1	no	—
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	—	2	1	no	—
630	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
631	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
632	#6105	—	2	2	no	—
633	#6105	—	2	2	no	—
634	#6104	—	2	2	no	—
635	#6104	—	2	2	no	—
636	#6104	—	2	2	no	—
637	#6104	—	2	2	no	—
638	#6104	—	2	2	no	—
639	#6104	—	2	2	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	C₂×D₄	1	1	yes	characteristic
659	#6103	C₂×D₄	1	1	yes	characteristic
660	#6103	C₂×D₄	1	1	yes	characteristic
661	#6103	C₂×D₄	1	1	yes	characteristic
662	C₄⋊Dic₁₃	—	2	1	no	—
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	—	2	1	no	—
665	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	C₂×D₄	1	1	yes	characteristic
680	#6101	C₂×D₄	1	1	yes	characteristic
681	#6101	C₂×D₄	1	1	yes	characteristic
682	#6101	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	—	2	1	no	—
685	C₄×Dic₁₃	—	2	1	no	—
686	C₄×Dic₁₃	—	2	1	no	—
687	C₄×Dic₁₃	—	2	1	no	—
688	C₄×Dic₁₃	—	2	1	no	—
689	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
695	C₂×#1055	C₂⁴	1	1	yes	characteristic
696	C₂×#1055	C₂⁴	1	1	yes	characteristic
697	C₂×#1055	C₂⁴	1	1	yes	characteristic
698	C₂×#1055	C₂⁴	1	1	yes	characteristic
699	D₁₀₄	—	2	2	no	—
700	D₁₀₄	—	2	2	no	—
701	#6095	—	2	2	no	—
702	#6095	—	2	2	no	—
703	#6094	—	2	2	no	—
704	#6094	—	2	2	no	—
705	C₈×D₁₃	—	2	2	no	—
706	C₈×D₁₃	—	2	2	no	—
707	#3494	—	13	1	no	—
708	C₂×#518	—	13	1	no	—
709	#3122	—	13	1	no	—
710	#3122	—	13	1	no	—
711	#3122	—	13	1	no	—
712	#3122	D₁₃	1	1	yes	characteristic, complemented
713	#3118	—	13	1	no	—
714	#3118	—	13	1	no	—
715	#3118	—	13	1	no	—
716	#3118	—	13	1	no	—
717	#3114	—	13	1	no	—
718	#3114	—	13	1	no	—
719	#3109	—	13	1	no	—
720	#3109	—	13	1	no	—
721	#3105	—	13	1	no	—
722	#3105	—	13	1	no	—
723	#3100	—	13	1	no	—
724	#3100	—	13	1	no	—
725	#3094	—	13	1	no	—
726	#3091	—	13	1	no	—
727	#3081	—	13	1	no	—
728	#3081	—	13	1	no	—
729	#3041	—	13	1	no	—
730	#3041	—	13	1	no	—
731	#3003	—	13	1	no	—
732	C₂×#447	—	13	1	no	—
733	#2948	—	13	1	no	—
734	#2948	—	13	1	no	—
735	#2946	—	13	1	no	—
736	#2946	—	13	1	no	—
737	#2924	—	13	1	no	—
738	C₂³×C₁₃	—	2	4	no	—
739	C₂³×C₁₃	—	2	1	no	—
740	C₂³×C₁₃	—	2	1	no	—
741	C₂³×C₁₃	—	2	1	no	—
742	C₂³×C₁₃	—	2	1	no	—
743	C₂³×C₁₃	—	8	1	no	—
744	C₂³×C₁₃	—	8	1	no	—
745	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
746	C₂²×D₁₃	—	2	4	no	—
747	C₂²×D₁₃	—	2	4	no	—
748	C₂²×D₁₃	—	2	1	no	—
749	C₂²×D₁₃	—	2	1	no	—
750	C₂²×D₁₃	—	2	4	no	—
751	C₂²×D₁₃	—	2	2	no	—
752	C₂²×D₁₃	—	2	2	no	—
753	C₂²×D₁₃	—	2	4	no	—
754	C₂²×D₁₃	—	2	4	no	—
755	C₂²×D₁₃	—	2	1	no	—
756	C₂²×D₁₃	—	4	1	no	—
757	C₂²×D₁₃	—	4	2	no	—
758	C₂²×D₁₃	—	4	2	no	—
759	C₂²×D₁₃	—	4	2	no	—
760	C₂²×D₁₃	—	4	2	no	—
761	C₂²×D₁₃	—	4	2	no	—
762	C₂²×D₁₃	—	8	1	no	—
763	C₂²×D₁₃	—	8	1	no	—
764	C₂²×D₁₃	—	8	1	no	—
765	C₂²×D₁₃	—	8	1	no	—
766	C₂²×D₁₃	—	8	1	no	—
767	C₂²×D₁₃	—	8	1	no	—
768	C₂²×D₁₃	—	8	16	no	—
769	C₂²×D₁₃	—	8	1	no	—
770	C₂²×D₁₃	—	8	1	no	—
771	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
773	D₄×C₁₃	—	2	4	no	—
774	D₄×C₁₃	—	2	1	no	—
775	D₄×C₁₃	—	2	1	no	—
776	D₄×C₁₃	—	2	1	no	—
777	D₄×C₁₃	—	2	1	no	—
778	D₄×C₁₃	—	2	1	no	—
779	D₄×C₁₃	—	2	1	no	—
780	D₄×C₁₃	—	8	1	no	—
781	D₄×C₁₃	—	8	1	no	—
782	D₄×C₁₃	—	8	1	no	—
783	D₄×C₁₃	—	8	1	no	—
784	D₄×C₁₃	C₂×#41	1	2	yes	—
785	D₄×C₁₃	C₂×#41	1	2	yes	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	8	1	no	—
793	C₂×C₄×C₁₃	—	8	1	no	—
794	C₂×C₄×C₁₃	—	8	1	no	—
795	C₂×C₄×C₁₃	—	8	1	no	—
796	C₂×C₄×C₁₃	—	8	1	no	—
797	C₂×C₄×C₁₃	—	8	1	no	—
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
804	C₂²⋊D₁₃	—	2	4	no	—
805	C₂²⋊D₁₃	—	2	4	no	—
806	C₂²⋊D₁₃	—	2	4	no	—
807	C₂²⋊D₁₃	—	2	4	no	—
808	C₂²⋊D₁₃	—	4	2	no	—
809	C₂²⋊D₁₃	—	4	2	no	—
810	C₂²⋊D₁₃	—	4	2	no	—
811	C₂²⋊D₁₃	—	4	2	no	—
812	C₂²⋊D₁₃	—	8	1	no	—
813	C₂²⋊D₁₃	—	8	1	no	—
814	C₂²⋊D₁₃	—	8	1	no	—
815	C₂×Dic₁₃	—	2	2	no	—
816	C₂×Dic₁₃	—	2	1	no	—
817	C₂×Dic₁₃	—	2	1	no	—
818	C₂×Dic₁₃	—	2	1	no	—
819	C₂×Dic₁₃	—	2	1	no	—
820	C₂×Dic₁₃	—	2	1	no	—
821	C₂×Dic₁₃	—	4	2	no	—
822	C₂×Dic₁₃	—	8	1	no	—
823	C₂×Dic₁₃	—	8	1	no	—
824	C₂×Dic₁₃	—	8	1	no	—
825	C₂×Dic₁₃	—	8	1	no	—
826	C₂×Dic₁₃	—	8	1	no	—
827	C₂×Dic₁₃	—	8	1	no	—
828	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
830	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
834	D₅₂	—	2	4	no	—
835	D₅₂	—	2	1	no	—
836	D₅₂	—	2	1	no	—
837	D₅₂	—	2	1	no	—
838	D₅₂	—	2	1	no	—
839	D₅₂	—	4	2	no	—
840	D₅₂	C₂×#41	1	2	yes	—
841	D₅₂	C₂×#41	1	2	yes	—
842	C₄×D₁₃	—	2	2	no	—
843	C₄×D₁₃	—	2	2	no	—
844	C₄×D₁₃	—	2	2	no	—
845	C₄×D₁₃	—	2	1	no	—
846	C₄×D₁₃	—	2	1	no	—
847	C₄×D₁₃	—	2	2	no	—
848	C₄×D₁₃	—	4	1	no	—
849	C₄×D₁₃	—	4	1	no	—
850	C₄×D₁₃	—	4	2	no	—
851	C₄×D₁₃	—	4	2	no	—
852	C₄×D₁₃	—	8	1	no	—
853	C₄×D₁₃	—	8	1	no	—
854	C₄×D₁₃	—	8	1	no	—
855	C₄×D₁₃	—	8	1	no	—
856	C₄×D₁₃	—	8	1	no	—
857	C₄×D₁₃	—	8	1	no	—
858	C₄×D₁₃	—	8	1	no	—
859	C₄×D₁₃	—	8	1	no	—
860	C₄×D₁₃	—	8	1	no	—
861	C₄×D₁₃	—	8	1	no	—
862	C₄×D₁₃	—	8	1	no	—
863	C₄×D₁₃	C₂×#41	1	2	yes	—
864	C₄×D₁₃	C₂×#41	1	2	yes	—
865	Dic₂₆	—	2	1	no	—
866	Dic₂₆	—	2	1	no	—
867	Dic₂₆	—	8	1	no	—
868	Dic₂₆	—	8	1	no	—
869	C₈×C₁₃	—	2	1	no	—
870	C₈×C₁₃	—	2	1	no	—
871	C₈×C₁₃	—	2	1	no	—
872	C₈×C₁₃	—	2	1	no	—
873	#1055	—	2	1	no	—
874	#1055	—	2	1	no	—
875	#1055	—	2	1	no	—
876	#1055	—	2	1	no	—
877	C₂³×D₄	—	13	1	no	—
878	C₂×AGL(1,ℤ/8)	—	13	1	no	—
879	C₂×AGL(1,ℤ/8)	—	13	1	no	—
880	C₂²×D₈	—	13	1	no	—
881	C₂²×D₈	—	13	1	no	—
882	#555	—	26	1	no	—
883	#553	—	26	1	no	—
884	#553	—	26	1	no	—
885	#551	—	26	1	no	—
886	#551	—	26	1	no	—
887	#547	—	26	1	no	—
888	#546	—	26	1	no	—
889	#546	—	26	1	no	—
890	#544	—	13	1	no	—
891	#542	—	13	1	no	—
892	#542	—	13	1	no	—
893	#540	—	13	1	no	—
894	#540	C₂×D₁₃	1	1	yes	characteristic, complemented
895	#535	—	13	1	no	—
896	#532	—	13	1	no	—
897	#532	—	13	1	no	—
898	#529	—	13	1	no	—
899	#529	—	13	1	no	—
900	#525	—	13	1	no	—
901	C₂×#121	—	13	1	no	—
902	#520	—	13	1	no	—
903	#518	—	13	1	no	—
904	#518	—	13	1	no	—
905	#518	—	13	1	no	—
906	#518	—	13	1	no	—
907	#518	—	13	1	no	—
908	#518	—	13	1	no	—
909	#518	—	13	1	no	—
910	#518	—	13	1	no	—
911	#518	—	26	1	no	—
912	#518	—	26	1	no	—
913	#518	—	26	1	no	—
914	#518	—	26	1	no	—
915	#518	C₂×D₁₃	1	1	yes	characteristic, complemented
916	C₂×C₄×D₄	—	13	1	no	—
917	C₂×C₄×D₄	—	13	1	no	—
918	C₂×C₄×D₄	—	13	1	no	—
919	C₂×C₄×D₄	—	13	1	no	—
920	C₂×C₄×D₄	—	26	1	no	—
921	C₂×C₄×D₄	—	26	1	no	—
922	C₂×#117	—	13	1	no	—
923	C₂×#117	—	13	1	no	—
924	C₂²×C₂²⋊C₄	—	26	1	no	—
925	C₂²×C₂²⋊C₄	—	26	1	no	—
926	#485	—	13	1	no	—
927	#485	—	13	1	no	—
928	#484	—	13	1	no	—
929	#483	—	13	1	no	—
930	#482	—	13	1	no	—
931	#482	—	13	1	no	—
932	#482	—	13	1	no	—
933	#482	—	13	1	no	—
934	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
935	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
936	#481	—	13	1	no	—
937	#481	—	13	1	no	—
938	#481	—	13	1	no	—
939	#480	—	13	1	no	—
940	#480	—	13	1	no	—
941	#480	—	13	1	no	—
942	#478	—	13	1	no	—
943	#478	—	13	1	no	—
944	#478	—	13	1	no	—
945	#478	—	13	1	no	—
946	#478	—	13	1	no	—
947	#478	—	13	1	no	—
948	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
950	#476	—	13	1	no	—
951	#476	—	13	1	no	—
952	#476	—	13	1	no	—
953	#476	—	13	1	no	—
954	#474	—	13	1	no	—
955	#474	—	13	1	no	—
956	#474	—	13	1	no	—
957	#474	—	13	1	no	—
958	#463	—	13	1	no	—
959	#463	—	13	1	no	—
960	#463	—	13	1	no	—
961	#463	—	13	1	no	—
962	#463	—	13	1	no	—
963	#463	—	13	1	no	—
964	#463	—	13	1	no	—
965	#463	—	13	1	no	—
966	#459	—	13	1	no	—
967	#459	—	13	1	no	—
968	#459	—	13	1	no	—
969	#459	—	13	1	no	—
970	#459	—	13	1	no	—
971	#459	—	13	1	no	—
972	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#450	—	13	1	no	—
975	#450	—	13	1	no	—
976	#450	—	13	1	no	—
977	#450	—	13	1	no	—
978	#447	—	13	1	no	—
979	#447	—	13	1	no	—
980	#447	—	13	1	no	—
981	#447	—	13	1	no	—
982	#447	—	13	1	no	—
983	#447	—	13	1	no	—
984	#447	—	13	1	no	—
985	#447	—	13	1	no	—
986	#447	—	13	1	no	—
987	#447	—	13	1	no	—
988	#447	C₂×D₁₃	1	1	yes	characteristic
989	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#442	—	13	1	no	—
991	#442	—	13	1	no	—
992	#442	—	13	1	no	—
993	#442	—	13	1	no	—
994	#442	—	13	1	no	—
995	#442	—	13	1	no	—
996	#442	—	13	1	no	—
997	#442	—	13	1	no	—
998	#442	—	13	1	no	—
999	#442	—	13	1	no	—
1000	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1001	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#440	—	13	1	no	—
1003	#440	—	13	1	no	—
1004	#440	—	13	1	no	—
1005	#440	—	13	1	no	—
1006	C₄×SD₁₆	—	13	1	no	—
1007	C₄×SD₁₆	—	13	1	no	—
1008	C₄×SD₁₆	—	13	1	no	—
1009	C₄×SD₁₆	—	13	1	no	—
1010	C₄×D₈	—	13	1	no	—
1011	C₄×D₈	—	13	1	no	—
1012	C₄×D₈	—	13	1	no	—
1013	C₄×D₈	—	13	1	no	—
1014	C₄×D₈	—	13	1	no	—
1015	C₄×D₈	—	13	1	no	—
1016	C₄×D₈	—	13	1	no	—
1017	C₄×D₈	—	13	1	no	—
1018	C₄×D₈	—	13	1	no	—
1019	C₄×D₈	—	13	1	no	—
1020	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1021	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#433	—	13	1	no	—
1023	#433	—	13	1	no	—
1024	#433	—	13	1	no	—
1025	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1026	#432	—	13	1	no	—
1027	#432	—	13	1	no	—
1028	#431	—	13	1	no	—
1029	#431	—	13	1	no	—
1030	#428	—	13	1	no	—
1031	#428	—	13	1	no	—
1032	#427	—	13	1	no	—
1033	#427	—	13	1	no	—
1034	#424	—	13	1	no	—
1035	#424	—	13	1	no	—
1036	#418	—	13	1	no	—
1037	#418	—	13	1	no	—
1038	#418	—	13	1	no	—
1039	#418	—	13	1	no	—
1040	#416	—	13	1	no	—
1041	#416	—	13	1	no	—
1042	C₂×#102	—	13	1	no	—
1043	C₂×#102	—	13	1	no	—
1044	#407	—	13	1	no	—
1045	C₂×C₂²⋊C₈	—	13	1	no	—
1046	#405	—	13	1	no	—
1047	#405	—	13	1	no	—
1048	C₂²×C₁₃	—	2	1	no	—
1049	C₂²×C₁₃	—	2	1	no	—
1050	C₂²×C₁₃	—	2	2	no	—
1051	C₂²×C₁₃	—	2	2	no	—
1052	C₂²×C₁₃	—	2	1	no	—
1053	C₂²×C₁₃	—	4	1	no	—
1054	C₂²×C₁₃	—	4	1	no	—
1055	C₂²×C₁₃	—	4	1	no	—
1056	C₂²×C₁₃	—	4	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	4	1	no	—
1059	C₂²×C₁₃	—	4	1	no	—
1060	C₂²×C₁₃	—	4	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	—	8	4	no	—
1064	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1065	C₂×D₁₃	—	2	1	no	—
1066	C₂×D₁₃	—	2	1	no	—
1067	C₂×D₁₃	—	2	1	no	—
1068	C₂×D₁₃	—	2	1	no	—
1069	C₂×D₁₃	—	2	2	no	—
1070	C₂×D₁₃	—	2	2	no	—
1071	C₂×D₁₃	—	4	4	no	—
1072	C₂×D₁₃	—	4	8	no	—
1073	C₂×D₁₃	—	4	8	no	—
1074	C₂×D₁₃	—	4	1	no	—
1075	C₂×D₁₃	—	4	1	no	—
1076	C₂×D₁₃	—	4	1	no	—
1077	C₂×D₁₃	—	4	1	no	—
1078	C₂×D₁₃	—	4	1	no	—
1079	C₂×D₁₃	—	4	1	no	—
1080	C₂×D₁₃	—	4	1	no	—
1081	C₂×D₁₃	—	8	4	no	—
1082	C₂×D₁₃	—	8	4	no	—
1083	C₂×D₁₃	—	8	4	no	—
1084	C₂×D₁₃	—	16	2	no	—
1085	C₂×D₁₃	#525	1	2	yes	—
1086	C₂×D₁₃	#576	1	2	yes	—
1087	C₄×C₁₃	—	2	1	no	—
1088	C₄×C₁₃	—	2	1	no	—
1089	C₄×C₁₃	—	2	1	no	—
1090	C₄×C₁₃	—	2	1	no	—
1091	C₄×C₁₃	—	2	1	no	—
1092	C₄×C₁₃	—	4	1	no	—
1093	C₄×C₁₃	—	4	1	no	—
1094	C₄×C₁₃	—	4	1	no	—
1095	C₄×C₁₃	—	4	1	no	—
1096	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1097	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1098	Dic₁₃	—	2	1	no	—
1099	Dic₁₃	—	2	1	no	—
1100	Dic₁₃	—	2	1	no	—
1101	Dic₁₃	—	2	1	no	—
1102	Dic₁₃	—	2	1	no	—
1103	Dic₁₃	—	4	1	no	—
1104	Dic₁₃	—	4	1	no	—
1105	Dic₁₃	—	4	1	no	—
1106	Dic₁₃	—	4	1	no	—
1107	Dic₁₃	—	4	1	no	—
1108	Dic₁₃	#525	1	2	yes	—
1109	C₂⁵	—	26	1	no	—
1110	C₂×#41	—	13	1	no	—
1111	C₂×#41	—	26	1	no	—
1112	C₂×#41	—	26	1	no	—
1113	C₂²×D₄	—	13	1	no	—
1114	C₂²×D₄	—	13	1	no	—
1115	C₂²×D₄	—	13	1	no	—
1116	C₂²×D₄	—	13	1	no	—
1117	C₂²×D₄	—	13	1	no	—
1118	C₂²×D₄	—	13	1	no	—
1119	C₂²×D₄	—	26	1	no	—
1120	C₂²×D₄	—	26	1	no	—
1121	C₂²×D₄	—	26	1	no	—
1122	C₂²×D₄	—	26	4	no	—
1123	C₂²×D₄	—	26	4	no	—
1124	C₂²×D₄	—	26	1	no	—
1125	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂³×C₄	—	13	1	no	—
1127	C₂³×C₄	—	26	1	no	—
1128	C₂³×C₄	—	26	1	no	—
1129	C₂³×C₄	—	26	1	no	—
1130	C₂³×C₄	—	26	1	no	—
1131	AGL(1,ℤ/8)	—	26	4	no	—
1132	AGL(1,ℤ/8)	—	26	4	no	—
1133	C₂×SD₁₆	—	13	1	no	—
1134	C₂×SD₁₆	—	13	1	no	—
1135	C₂×SD₁₆	—	13	1	no	—
1136	C₂×SD₁₆	—	13	1	no	—
1137	C₂×D₈	—	13	1	no	—
1138	C₂×D₈	—	13	1	no	—
1139	C₂×D₈	—	13	1	no	—
1140	C₂×D₈	—	13	1	no	—
1141	C₂×D₈	—	13	1	no	—
1142	C₂×D₈	—	13	1	no	—
1143	C₂×D₈	—	13	1	no	—
1144	C₂×D₈	—	13	1	no	—
1145	C₂×D₈	—	26	4	no	—
1146	C₂×D₈	—	26	4	no	—
1147	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1150	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1151	C₂×M₁₆	—	13	1	no	—
1152	C₂×M₁₆	—	13	1	no	—
1153	C₂²×C₈	—	13	1	no	—
1154	C₂²×C₈	—	13	1	no	—
1155	C₄⋊Q₈	—	13	1	no	—
1156	C₄⋊Q₈	—	13	1	no	—
1157	C₄⋊Q₈	—	26	1	no	—
1158	#127	—	13	1	no	—
1159	#127	C₂²×D₁₃	1	1	yes	characteristic, complemented
1160	#126	—	26	1	no	—
1161	#126	—	26	1	no	—
1162	#126	—	26	1	no	—
1163	#126	—	26	1	no	—
1164	#125	—	13	1	no	—
1165	#125	—	26	1	no	—
1166	#125	C₂²×D₁₃	1	1	yes	characteristic, complemented
1167	#124	—	13	1	no	—
1168	#124	—	13	1	no	—
1169	#124	—	26	1	no	—
1170	#124	—	26	1	no	—
1171	#124	—	26	1	no	—
1172	#124	—	26	1	no	—
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	—	26	1	no	—
1176	#123	—	26	1	no	—
1177	#123	—	26	1	no	—
1178	#123	—	26	1	no	—
1179	#123	—	26	1	no	—
1180	#123	—	26	1	no	—
1181	#123	—	26	1	no	—
1182	C₂²⋊Q₈	—	13	1	no	—
1183	C₂²⋊Q₈	—	13	1	no	—
1184	C₂²⋊Q₈	—	26	1	no	—
1185	C₂²⋊Q₈	—	26	1	no	—
1186	C₂²⋊Q₈	—	26	1	no	—
1187	C₂²⋊Q₈	—	26	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	13	1	no	—
1191	#121	—	13	1	no	—
1192	#121	—	13	1	no	—
1193	#121	—	13	1	no	—
1194	#121	—	26	1	no	—
1195	#121	—	26	1	no	—
1196	#121	—	26	1	no	—
1197	#121	—	26	1	no	—
1198	#121	—	26	1	no	—
1199	#121	—	26	1	no	—
1200	#121	—	26	1	no	—
1201	#121	—	26	1	no	—
1202	#121	C₂²×D₁₃	1	1	yes	characteristic
1203	#121	C₂²×D₁₃	1	1	yes	characteristic
1204	#120	—	26	1	no	—
1205	#120	—	26	1	no	—
1206	#120	—	26	1	no	—
1207	C₄×Q₈	—	13	1	no	—
1208	C₄×Q₈	—	13	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	13	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	—	26	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	—	26	1	no	—
1251	C₄×D₄	—	26	1	no	—
1252	C₄×D₄	—	26	1	no	—
1253	C₄×D₄	—	26	1	no	—
1254	C₄×D₄	—	26	1	no	—
1255	C₄×D₄	—	26	1	no	—
1256	C₄×D₄	—	26	1	no	—
1257	C₄×D₄	—	26	1	no	—
1258	C₄×D₄	—	26	1	no	—
1259	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1260	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1261	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1262	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1263	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1264	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1265	#117	—	13	1	no	—
1266	#117	—	13	1	no	—
1267	#117	—	13	1	no	—
1268	#117	—	13	1	no	—
1269	#117	—	13	1	no	—
1270	#117	—	13	1	no	—
1271	#117	—	13	1	no	—
1272	#117	—	13	1	no	—
1273	#117	—	13	1	no	—
1274	#117	—	13	1	no	—
1275	#117	—	13	1	no	—
1276	#117	—	26	1	no	—
1277	#117	—	26	1	no	—
1278	#117	—	26	1	no	—
1279	#117	—	26	1	no	—
1280	#117	—	26	1	no	—
1281	#117	C₂²×D₁₃	1	1	yes	characteristic
1282	#117	C₂²×D₁₃	1	1	yes	characteristic
1283	C₂×C₄⋊C₄	—	13	1	no	—
1284	C₂×C₄⋊C₄	—	13	1	no	—
1285	C₂×C₄⋊C₄	—	13	1	no	—
1286	C₂×C₄⋊C₄	—	13	1	no	—
1287	C₂×C₄⋊C₄	—	13	1	no	—
1288	C₂×C₄⋊C₄	—	26	1	no	—
1289	C₂×C₂²⋊C₄	—	2	1	no	—
1290	C₂×C₂²⋊C₄	—	2	1	no	—
1291	C₂×C₂²⋊C₄	—	13	1	no	—
1292	C₂×C₂²⋊C₄	—	13	1	no	—
1293	C₂×C₂²⋊C₄	—	26	1	no	—
1294	C₂×C₂²⋊C₄	—	26	1	no	—
1295	C₂×C₂²⋊C₄	—	26	1	no	—
1296	C₂×C₂²⋊C₄	—	26	1	no	—
1297	C₂×C₂²⋊C₄	—	26	1	no	—
1298	C₂×C₂²⋊C₄	—	26	1	no	—
1299	C₂×C₂²⋊C₄	—	26	1	no	—
1300	C₂×C₂²⋊C₄	—	26	1	no	—
1301	C₂×C₂²⋊C₄	—	26	1	no	—
1302	C₂×C₂²⋊C₄	—	26	1	no	—
1303	C₂×C₂²⋊C₄	—	26	1	no	—
1304	C₂×C₂²⋊C₄	—	26	1	no	—
1305	C₂×C₂²⋊C₄	—	26	1	no	—
1306	C₂×C₂²⋊C₄	—	26	1	no	—
1307	C₂×C₂²⋊C₄	—	26	1	no	—
1308	C₂×C₂²⋊C₄	—	26	1	no	—
1309	C₂×C₂²⋊C₄	—	26	1	no	—
1310	C₂×C₂²⋊C₄	—	26	1	no	—
1311	C₂×C₂²⋊C₄	—	26	1	no	—
1312	C₂×C₂²⋊C₄	—	26	1	no	—
1313	C₂×C₂²⋊C₄	—	26	1	no	—
1314	C₂×C₂²⋊C₄	—	26	1	no	—
1315	C₂×C₄²	—	13	1	no	—
1316	C₂×C₄²	—	13	1	no	—
1317	C₂×C₄²	—	26	1	no	—
1318	#107	—	13	1	no	—
1319	#107	—	13	1	no	—
1320	#107	—	13	1	no	—
1321	#107	—	13	1	no	—
1322	#107	—	13	1	no	—
1323	#107	—	13	1	no	—
1324	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1325	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1326	#106	—	13	1	no	—
1327	#106	—	13	1	no	—
1328	#106	—	13	1	no	—
1329	#106	—	13	1	no	—
1330	#106	—	13	1	no	—
1331	#106	—	13	1	no	—
1332	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1333	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1334	C₄⋊C₈	—	13	1	no	—
1335	C₄⋊C₈	—	13	1	no	—
1336	C₄⋊C₈	—	13	1	no	—
1337	C₄⋊C₈	—	13	1	no	—
1338	C₄⋊C₈	—	13	1	no	—
1339	C₄⋊C₈	—	13	1	no	—
1340	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1341	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1342	#103	—	13	1	no	—
1343	#103	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	—	13	1	no	—
1364	#102	—	13	1	no	—
1365	#102	—	13	1	no	—
1366	#102	C₂²×D₁₃	1	1	yes	characteristic
1367	#102	C₂²×D₁₃	1	1	yes	characteristic
1368	#102	C₂²×D₁₃	1	1	yes	characteristic
1369	#102	C₂²×D₁₃	1	1	yes	characteristic
1370	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1371	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1372	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1373	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1374	C₂²⋊C₈	—	13	1	no	—
1375	C₂²⋊C₈	—	13	1	no	—
1376	C₂²⋊C₈	—	13	1	no	—
1377	C₂²⋊C₈	—	13	1	no	—
1378	C₂²⋊C₈	—	13	1	no	—
1379	C₂²⋊C₈	—	13	1	no	—
1380	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1381	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1382	#97	—	13	1	no	—
1383	#97	—	13	1	no	—
1384	#97	—	13	1	no	—
1385	#97	C₂²×D₁₃	1	1	yes	characteristic, complemented
1386	C₄×C₈	—	13	1	no	—
1387	C₄×C₈	—	13	1	no	—
1388	C₄×C₈	—	13	1	no	—
1389	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1390	C₂×C₁₃	—	4	1	no	—
1391	C₂×C₁₃	—	4	2	no	—
1392	C₂×C₁₃	—	4	2	no	—
1393	C₂×C₁₃	—	8	1	no	—
1394	C₂×C₁₃	—	8	1	no	—
1395	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1396	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1397	C₂×C₁₃	#3585	1	1	yes	characteristic
1398	D₁₃	—	2	2	no	—
1399	D₁₃	—	2	2	no	—
1400	D₁₃	—	4	2	no	—
1401	D₁₃	—	4	2	no	—
1402	D₁₃	—	8	1	no	—
1403	C₂⁴	—	2	1	no	—
1404	C₂⁴	—	13	1	no	—
1405	C₂⁴	—	26	1	no	—
1406	C₂⁴	—	26	1	no	—
1407	C₂⁴	—	26	1	no	—
1408	C₂⁴	—	26	1	no	—
1409	C₂⁴	—	26	1	no	—
1410	C₂⁴	—	26	8	no	—
1411	C₂⁴	—	26	1	no	—
1412	C₂⁴	—	104	2	no	—
1413	C₂⁴	—	104	2	no	—
1414	#41	—	26	2	no	—
1415	#41	—	26	2	no	—
1416	#41	—	104	2	no	—
1417	#41	—	104	2	no	—
1418	C₂×Q₈	—	13	1	no	—
1419	C₂×Q₈	—	26	1	no	—
1420	C₂×Q₈	—	26	1	no	—
1421	C₂×D₄	—	2	2	no	—
1422	C₂×D₄	—	2	2	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	13	4	no	—
1429	C₂×D₄	—	13	4	no	—
1430	C₂×D₄	—	13	1	no	—
1431	C₂×D₄	—	13	1	no	—
1432	C₂×D₄	—	13	1	no	—
1433	C₂×D₄	—	26	2	no	—
1434	C₂×D₄	—	26	2	no	—
1435	C₂×D₄	—	26	1	no	—
1436	C₂×D₄	—	26	2	no	—
1437	C₂×D₄	—	26	2	no	—
1438	C₂×D₄	—	26	2	no	—
1439	C₂×D₄	—	26	2	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	26	1	no	—
1446	C₂×D₄	—	26	1	no	—
1447	C₂×D₄	—	26	2	no	—
1448	C₂×D₄	—	26	2	no	—
1449	C₂×D₄	—	26	8	no	—
1450	C₂×D₄	—	26	8	no	—
1451	C₂×D₄	—	26	8	no	—
1452	C₂×D₄	—	26	2	no	—
1453	C₂×D₄	—	26	2	no	—
1454	C₂×D₄	—	26	1	no	—
1455	C₂×D₄	—	26	1	no	—
1456	C₂×D₄	—	26	1	no	—
1457	C₂×D₄	—	26	1	no	—
1458	C₂×D₄	—	26	1	no	—
1459	C₂×D₄	—	104	2	no	—
1460	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1461	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1462	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1463	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1464	C₂²×C₄	—	2	1	no	—
1465	C₂²×C₄	—	2	1	no	—
1466	C₂²×C₄	—	2	1	no	—
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	13	1	no	—
1471	C₂²×C₄	—	13	1	no	—
1472	C₂²×C₄	—	13	1	no	—
1473	C₂²×C₄	—	13	1	no	—
1474	C₂²×C₄	—	13	1	no	—
1475	C₂²×C₄	—	13	1	no	—
1476	C₂²×C₄	—	13	1	no	—
1477	C₂²×C₄	—	13	1	no	—
1478	C₂²×C₄	—	13	1	no	—
1479	C₂²×C₄	—	26	2	no	—
1480	C₂²×C₄	—	26	2	no	—
1481	C₂²×C₄	—	26	1	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	1	no	—
1484	C₂²×C₄	—	26	1	no	—
1485	C₂²×C₄	—	26	1	no	—
1486	C₂²×C₄	—	26	1	no	—
1487	C₂²×C₄	—	26	1	no	—
1488	C₂²×C₄	—	26	1	no	—
1489	C₂²×C₄	—	26	1	no	—
1490	C₂²×C₄	—	26	1	no	—
1491	C₂²×C₄	—	26	1	no	—
1492	C₂²×C₄	—	26	1	no	—
1493	C₂²×C₄	—	26	1	no	—
1494	C₂²×C₄	—	26	1	no	—
1495	C₂²×C₄	—	26	1	no	—
1496	C₂²×C₄	—	26	1	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	104	2	no	—
1502	C₂²×C₄	—	104	2	no	—
1503	C₂²×C₄	—	104	2	no	—
1504	C₂²×C₄	—	104	2	no	—
1505	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1506	SD₁₆	—	26	2	no	—
1507	SD₁₆	—	26	2	no	—
1508	SD₁₆	—	26	2	no	—
1509	SD₁₆	—	26	2	no	—
1510	D₈	—	2	2	no	—
1511	D₈	—	2	2	no	—
1512	D₈	—	2	2	no	—
1513	D₈	—	2	2	no	—
1514	D₈	—	26	2	no	—
1515	D₈	—	26	2	no	—
1516	D₈	—	26	2	no	—
1517	D₈	—	26	2	no	—
1518	D₈	—	26	2	no	—
1519	D₈	—	26	2	no	—
1520	D₈	—	26	2	no	—
1521	D₈	—	26	2	no	—
1522	M₁₆	—	26	2	no	—
1523	M₁₆	—	26	2	no	—
1524	C₂×C₈	—	13	1	no	—
1525	C₂×C₈	—	13	1	no	—
1526	C₂×C₈	—	13	1	no	—
1527	C₂×C₈	—	13	1	no	—
1528	C₂×C₈	—	26	2	no	—
1529	C₂×C₈	—	26	2	no	—
1530	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1531	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1532	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1533	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	—	13	1	no	—
1537	C₄⋊C₄	—	13	1	no	—
1538	C₄⋊C₄	—	13	1	no	—
1539	C₄⋊C₄	—	13	1	no	—
1540	C₄⋊C₄	—	13	1	no	—
1541	C₄⋊C₄	—	13	1	no	—
1542	C₄⋊C₄	—	13	1	no	—
1543	C₄⋊C₄	—	13	1	no	—
1544	C₄⋊C₄	—	13	1	no	—
1545	C₄⋊C₄	—	13	1	no	—
1546	C₄⋊C₄	—	26	1	no	—
1547	C₄⋊C₄	—	26	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	—	26	1	no	—
1556	C₄⋊C₄	—	26	1	no	—
1557	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1558	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1560	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1561	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1562	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	13	1	no	—
1573	C₂²⋊C₄	—	13	1	no	—
1574	C₂²⋊C₄	—	13	1	no	—
1575	C₂²⋊C₄	—	13	1	no	—
1576	C₂²⋊C₄	—	13	1	no	—
1577	C₂²⋊C₄	—	13	1	no	—
1578	C₂²⋊C₄	—	26	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	—	26	1	no	—
1598	C₂²⋊C₄	—	26	1	no	—
1599	C₂²⋊C₄	—	26	1	no	—
1600	C₂²⋊C₄	—	26	1	no	—
1601	C₂²⋊C₄	—	26	1	no	—
1602	C₂²⋊C₄	—	26	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	—	26	1	no	—
1607	C₂²⋊C₄	—	26	1	no	—
1608	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1609	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1610	C₄²	—	2	1	no	—
1611	C₄²	—	13	1	no	—
1612	C₄²	—	13	1	no	—
1613	C₄²	—	13	1	no	—
1614	C₄²	—	13	1	no	—
1615	C₄²	—	13	1	no	—
1616	C₄²	—	13	1	no	—
1617	C₄²	—	26	1	no	—
1618	C₄²	—	26	1	no	—
1619	C₄²	—	26	1	no	—
1620	C₄²	—	26	1	no	—
1621	C₄²	—	26	1	no	—
1622	C₄²	—	26	1	no	—
1623	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1624	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1625	C₁₃	#60578	1	1	yes	characteristic, complemented, Sylow
1626	C₂³	—	2	4	no	—
1627	C₂³	—	2	1	no	—
1628	C₂³	—	2	1	no	—
1629	C₂³	—	2	1	no	—
1630	C₂³	—	2	1	no	—
1631	C₂³	—	8	1	no	—
1632	C₂³	—	8	1	no	—
1633	C₂³	—	13	1	no	—
1634	C₂³	—	13	1	no	—
1635	C₂³	—	26	2	no	—
1636	C₂³	—	26	2	no	—
1637	C₂³	—	26	4	no	—
1638	C₂³	—	26	4	no	—
1639	C₂³	—	26	4	no	—
1640	C₂³	—	26	4	no	—
1641	C₂³	—	26	4	no	—
1642	C₂³	—	26	1	no	—
1643	C₂³	—	26	1	no	—
1644	C₂³	—	26	1	no	—
1645	C₂³	—	52	1	no	—
1646	C₂³	—	52	2	no	—
1647	C₂³	—	52	2	no	—
1648	C₂³	—	52	2	no	—
1649	C₂³	—	52	2	no	—
1650	C₂³	—	52	2	no	—
1651	C₂³	—	104	1	no	—
1652	C₂³	—	104	1	no	—
1653	C₂³	—	104	1	no	—
1654	C₂³	—	104	1	no	—
1655	C₂³	—	104	1	no	—
1656	C₂³	—	104	1	no	—
1657	C₂³	—	104	1	no	—
1658	C₂³	—	104	1	no	—
1659	C₂³	—	104	16	no	—
1660	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1661	Q₈	—	26	1	no	—
1662	Q₈	—	26	1	no	—
1663	Q₈	—	104	1	no	—
1664	Q₈	—	104	1	no	—
1665	D₄	—	2	4	no	—
1666	D₄	—	2	1	no	—
1667	D₄	—	2	1	no	—
1668	D₄	—	2	1	no	—
1669	D₄	—	2	1	no	—
1670	D₄	—	2	1	no	—
1671	D₄	—	2	1	no	—
1672	D₄	—	8	1	no	—
1673	D₄	—	8	1	no	—
1674	D₄	—	8	1	no	—
1675	D₄	—	8	1	no	—
1676	D₄	—	13	2	no	—
1677	D₄	—	13	2	no	—
1678	D₄	—	26	4	no	—
1679	D₄	—	26	4	no	—
1680	D₄	—	26	4	no	—
1681	D₄	—	26	4	no	—
1682	D₄	—	26	4	no	—
1683	D₄	—	26	1	no	—
1684	D₄	—	26	1	no	—
1685	D₄	—	26	1	no	—
1686	D₄	—	26	1	no	—
1687	D₄	—	52	2	no	—
1688	D₄	—	52	2	no	—
1689	D₄	—	52	2	no	—
1690	D₄	—	52	2	no	—
1691	D₄	—	52	2	no	—
1692	D₄	—	104	1	no	—
1693	D₄	—	104	1	no	—
1694	D₄	—	104	1	no	—
1695	D₄	#41×D₁₃	1	2	yes	—
1696	D₄	#41×D₁₃	1	2	yes	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	8	1	no	—
1704	C₂×C₄	—	8	1	no	—
1705	C₂×C₄	—	8	1	no	—
1706	C₂×C₄	—	8	1	no	—
1707	C₂×C₄	—	8	1	no	—
1708	C₂×C₄	—	8	1	no	—
1709	C₂×C₄	—	13	1	no	—
1710	C₂×C₄	—	13	2	no	—
1711	C₂×C₄	—	13	2	no	—
1712	C₂×C₄	—	13	1	no	—
1713	C₂×C₄	—	13	1	no	—
1714	C₂×C₄	—	13	1	no	—
1715	C₂×C₄	—	13	1	no	—
1716	C₂×C₄	—	13	1	no	—
1717	C₂×C₄	—	26	2	no	—
1718	C₂×C₄	—	26	2	no	—
1719	C₂×C₄	—	26	2	no	—
1720	C₂×C₄	—	26	2	no	—
1721	C₂×C₄	—	26	2	no	—
1722	C₂×C₄	—	26	1	no	—
1723	C₂×C₄	—	26	1	no	—
1724	C₂×C₄	—	26	1	no	—
1725	C₂×C₄	—	26	1	no	—
1726	C₂×C₄	—	26	1	no	—
1727	C₂×C₄	—	26	1	no	—
1728	C₂×C₄	—	26	1	no	—
1729	C₂×C₄	—	52	1	no	—
1730	C₂×C₄	—	52	1	no	—
1731	C₂×C₄	—	52	2	no	—
1732	C₂×C₄	—	52	2	no	—
1733	C₂×C₄	—	52	2	no	—
1734	C₂×C₄	—	104	1	no	—
1735	C₂×C₄	—	104	1	no	—
1736	C₂×C₄	—	104	1	no	—
1737	C₂×C₄	—	104	1	no	—
1738	C₂×C₄	—	104	1	no	—
1739	C₂×C₄	—	104	1	no	—
1740	C₂×C₄	—	104	1	no	—
1741	C₂×C₄	—	104	1	no	—
1742	C₂×C₄	—	104	1	no	—
1743	C₂×C₄	—	104	1	no	—
1744	C₂×C₄	—	104	1	no	—
1745	C₂×C₄	—	104	1	no	—
1746	C₂×C₄	—	104	1	no	—
1747	C₂×C₄	—	104	1	no	—
1748	C₂×C₄	—	104	1	no	—
1749	C₂×C₄	—	104	1	no	—
1750	C₂×C₄	—	104	1	no	—
1751	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1752	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1753	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1754	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1755	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1756	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1757	C₈	—	2	1	no	—
1758	C₈	—	2	1	no	—
1759	C₈	—	2	1	no	—
1760	C₈	—	2	1	no	—
1761	C₈	—	26	1	no	—
1762	C₈	—	26	1	no	—
1763	C₈	—	26	1	no	—
1764	C₈	—	26	1	no	—
1765	C₂²	—	2	1	no	—
1766	C₂²	—	2	1	no	—
1767	C₂²	—	2	2	no	—
1768	C₂²	—	2	2	no	—
1769	C₂²	—	2	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	8	4	no	—
1781	C₂²	—	13	2	no	—
1782	C₂²	—	13	2	no	—
1783	C₂²	—	26	1	no	—
1784	C₂²	—	26	1	no	—
1785	C₂²	—	26	1	no	—
1786	C₂²	—	26	1	no	—
1787	C₂²	—	26	2	no	—
1788	C₂²	—	26	2	no	—
1789	C₂²	—	52	4	no	—
1790	C₂²	—	52	8	no	—
1791	C₂²	—	52	8	no	—
1792	C₂²	—	52	1	no	—
1793	C₂²	—	52	1	no	—
1794	C₂²	—	52	1	no	—
1795	C₂²	—	52	1	no	—
1796	C₂²	—	52	1	no	—
1797	C₂²	—	52	1	no	—
1798	C₂²	—	52	1	no	—
1799	C₂²	—	104	4	no	—
1800	C₂²	—	104	4	no	—
1801	C₂²	—	104	4	no	—
1802	C₂²	—	208	2	no	—
1803	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	4	1	no	—
1813	C₄	—	13	2	no	—
1814	C₄	—	26	1	no	—
1815	C₄	—	26	1	no	—
1816	C₄	—	26	1	no	—
1817	C₄	—	26	1	no	—
1818	C₄	—	26	1	no	—
1819	C₄	—	52	1	no	—
1820	C₄	—	52	1	no	—
1821	C₄	—	52	1	no	—
1822	C₄	—	52	1	no	—
1823	C₄	—	52	1	no	—
1824	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1825	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1826	C₂	—	4	1	no	—
1827	C₂	—	4	2	no	—
1828	C₂	—	4	2	no	—
1829	C₂	—	8	1	no	—
1830	C₂	—	8	1	no	—
1831	C₂	—	26	2	no	—
1832	C₂	—	26	2	no	—
1833	C₂	—	52	2	no	—
1834	C₂	—	52	2	no	—
1835	C₂	—	104	1	no	—
1836	C₂	D₁₃×#525	1	1	yes	characteristic
1837	C₂	D₁₃×#576	1	1	yes	characteristic
1838	C₂	#13129611	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3122	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3122	D₁₃
hypocenter	C₁₃	#60578
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3122

Complements

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

N	H ≅ G/N	type
1. #13128563	C₂	semidirect
2. D₁₃×#518	C₂	semidirect
3. #13125075	C₂	semidirect
4. #13125074	C₂	semidirect
5. #13125073	C₂	semidirect
6. #13125022	C₂	semidirect
7. #13125020	C₂	semidirect
8. #13125015	C₂	semidirect
9. #13125013	C₂	semidirect
10. #13124979	C₂	semidirect
11. #13124972	C₂	semidirect
12. #13124926	C₂	semidirect
13. #13124925	C₂	semidirect
14. #13124888	C₂	semidirect
15. #13124881	C₂	semidirect
16. #13124835	C₂	semidirect
17. #13124834	C₂	semidirect
18. #13124775	C₂	semidirect
19. #13124748	C₂	semidirect
20. #13124666	C₂	semidirect
21. #13124664	C₂	semidirect
22. #13124334	C₂	semidirect
23. #13124334	C₂	semidirect
24. #13124060	C₂	semidirect
25. D₁₃×#447	C₂	semidirect
26. #13123685	C₂	semidirect
27. #13123683	C₂	semidirect
28. #13123665	C₂	semidirect
29. #13123661	C₂	semidirect
30. #13123492	C₂	semidirect
31. C₁₃×#3122	C₂	semidirect
33. C₁₃×#540	C₂²	semidirect
34. C₁₃×#518	C₂²	semidirect
35. #11719503	C₂²	semidirect
40. #11719421	C₂²	semidirect
41. #11719420	C₂²	semidirect
42. #11719396	C₂²	semidirect
43. #11719394	C₂²	semidirect
48. #11719324	C₂²	semidirect
54. #11719308	C₂²	semidirect
56. #11719262	C₂²	semidirect
57. #11719253	C₂²	semidirect
58. #11719251	C₂²	semidirect
65. #11719250	C₂²	semidirect
68. C₄×D₄×D₁₃	C₂²	semidirect
69. C₄×D₄×D₁₃	C₂²	semidirect
70. C₄×D₄×D₁₃	C₂²	semidirect
71. C₄×D₄×D₁₃	C₂²	semidirect
72. #11719239	C₂²	semidirect
73. #11719226	C₂²	semidirect
74. #11719226	C₂²	semidirect
81. C₁₃×#482	C₂²	semidirect
82. C₁₃×#482	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#459	C₂²	semidirect
86. C₁₃×#459	C₂²	semidirect
88. C₁₃×#447	C₂²	semidirect
89. C₁₃×#442	C₂²	semidirect
90. C₁₃×#442	C₂²	semidirect
91. C₄×C₁₃×D₈	C₂²	semidirect
92. C₄×C₁₃×D₈	C₂²	semidirect
93. C₁₃×#433	C₂²	semidirect
94. #11718879	C₂²	semidirect
98. #11718817	C₂²	semidirect
99. #11718817	C₂²	semidirect
100. #11718814	C₂²	semidirect
101. #11718814	C₂²	semidirect
102. #11718813	C₂²	semidirect
103. #11718813	C₂²	semidirect
104. #11718811	C₂²	semidirect
105. #11718811	C₂²	semidirect
106. D₈×Dic₁₃	C₂²	semidirect
107. D₈×Dic₁₃	C₂²	semidirect
108. #11718733	C₂²	semidirect
109. #11718733	C₂²	semidirect
110. #11718727	C₂²	semidirect
111. #11718727	C₂²	semidirect
113. #11718697	C₂²	semidirect
114. #11718696	C₂²	semidirect
115. #11718696	C₂²	semidirect
116. #11718679	C₂²	semidirect
117. C₄×#6105	C₂²	semidirect
118. #11718677	C₂²	semidirect
119. #11718677	C₂²	semidirect
120. #11718675	C₂²	semidirect
121. #11718675	C₂²	semidirect
122. #11718675	C₂²	semidirect
123. C₄×#6104	C₂²	semidirect
124. C₄×#6104	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. #11718669	C₂²	semidirect
127. #11718668	C₂²	semidirect
128. #11718664	C₂²	semidirect
129. #11718661	C₂²	semidirect
130. #11718657	C₂²	semidirect
131. #11718552	C₂²	semidirect
132. #11718551	C₂²	semidirect
133. #11718550	C₂²	semidirect
134. #11718545	C₂²	semidirect
135. #11718543	C₂²	semidirect
136. #11718542	C₂²	semidirect
137. #11718541	C₂²	semidirect
138. #11718533	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718530	C₂²	semidirect
142. #11718524	C₂²	semidirect
143. #11718523	C₂²	semidirect
144. #11718522	C₂²	semidirect
145. #11718521	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718507	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718505	C₂²	semidirect
150. #11718503	C₂²	semidirect
151. #11718500	C₂²	semidirect
152. #11718500	C₂²	semidirect
153. #11718496	C₂²	semidirect
154. #11718494	C₂²	semidirect
155. #11718448	C₂²	semidirect
156. #11718448	C₂²	semidirect
157. #11718447	C₂²	semidirect
158. #11718447	C₂²	semidirect
159. #11718446	C₂²	semidirect
160. #11718446	C₂²	semidirect
161. #11718446	C₂²	semidirect
162. #11718438	C₂²	semidirect
163. #11718438	C₂²	semidirect
164. #11718437	C₂²	semidirect
165. #11718437	C₂²	semidirect
166. #11718435	C₂²	semidirect
167. #11718435	C₂²	semidirect
170. #11718433	C₂²	semidirect
171. #11718433	C₂²	semidirect
174. #11718431	C₂²	semidirect
175. #11718431	C₂²	semidirect
178. #11718427	C₂²	semidirect
179. #11718424	C₂²	semidirect
180. #11718422	C₂²	semidirect
181. #11718420	C₂²	semidirect
182. #11718419	C₂²	semidirect
183. #11718418	C₂²	semidirect
184. #11718417	C₂²	semidirect
185. #11718417	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718398	C₂²	semidirect
189. #11718392	C₂²	semidirect
192. #11718384	C₂²	semidirect
193. #11718381	C₂²	semidirect
194. #11718381	C₂²	semidirect
195. #11718372	C₂²	semidirect
196. #11718371	C₂²	semidirect
197. #11718369	C₂²	semidirect
198. #11718366	C₂²	semidirect
199. C₄×D₁₀₄	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718350	C₂²	semidirect
202. #11718346	C₂²	semidirect
229. C₁₃×#127	C₂³	semidirect
230. C₁₃×#125	C₂³	semidirect
243. C₄×D₄×C₁₃	C₂³	semidirect
244. C₄×D₄×C₁₃	C₂³	semidirect
251. #88194	C₂³	semidirect
265. #88190	C₂³	semidirect
275. D₄×Dic₁₃	C₂³	semidirect
276. D₄×Dic₁₃	C₂³	semidirect
335. #88147	C₂³	semidirect
347. #88144	C₂³	semidirect
350. #88142	C₂³	semidirect
351. #88141	C₂³	semidirect
396. #88129	C₂³	semidirect
403. C₄×D₅₂	C₂³	semidirect
410. #88123	C₂³	semidirect
411. C₄×Dic₂₆	C₂³	semidirect
412. C₁₃×#107	C₂³	semidirect
413. C₁₃×#107	C₂³	semidirect
414. C₁₃×#106	C₂³	semidirect
415. C₁₃×#106	C₂³	semidirect
416. C₁₃×C₄⋊C₈	C₂³	semidirect
417. C₁₃×C₄⋊C₈	C₂³	semidirect
422. C₁₃×#102	C₂³	semidirect
423. C₁₃×#102	C₂³	semidirect
424. C₁₃×#102	C₂³	semidirect
425. C₁₃×#102	C₂³	semidirect
428. C₁₃×#97	C₂³	semidirect
429. C₄×C₈×C₁₃	C₂³	semidirect
434. #88072	C₂³	semidirect
435. #88072	C₂³	semidirect
436. #88072	C₂³	semidirect
437. #88072	C₂³	semidirect
444. #88061	C₂³	semidirect
445. #88061	C₂³	semidirect
450. #88058	C₂³	semidirect
451. #88058	C₂³	semidirect
452. #88057	C₂³	semidirect
453. #88057	C₂³	semidirect
454. #88056	C₂³	semidirect
455. #88056	C₂³	semidirect
456. #88055	C₂³	semidirect
457. #88055	C₂³	semidirect
458. #88054	C₂³	semidirect
459. #88054	C₂³	semidirect
460. #88054	C₂³	semidirect
461. #88054	C₂³	semidirect
462. C₈×Dic₁₃	C₂³	semidirect
463. C₈×Dic₁₃	C₂³	semidirect
464. #88050	C₂³	semidirect
465. #88050	C₂³	semidirect
470. #88049	C₂³	semidirect
471. #88049	C₂³	semidirect
472. #88048	C₂³	semidirect
473. #88048	C₂³	semidirect
474. #88048	C₂³	semidirect
475. #88048	C₂³	semidirect
476. #88047	C₂³	semidirect
477. #88047	C₂³	semidirect
478. #88047	C₂³	semidirect
479. #88047	C₂³	semidirect
480. C₄⋊#1055	C₂³	semidirect
481. C₄⋊#1055	C₂³	semidirect
482. #88043	C₂³	semidirect
483. C₄×#1055	C₂³	semidirect
548. D₄×D₁₃	#41	semidirect
549. D₄×D₁₃	#41	semidirect
712. #3122	D₁₃	semidirect
894. #540	C₂×D₁₃	semidirect
915. #518	C₂×D₁₃	semidirect
934. #482	C₂×D₁₃	semidirect
935. #482	C₂×D₁₃	semidirect
948. #478	C₂×D₁₃	semidirect
949. #478	C₂×D₁₃	semidirect
972. #459	C₂×D₁₃	semidirect
973. #459	C₂×D₁₃	semidirect
989. #447	C₂×D₁₃	semidirect
1000. #442	C₂×D₁₃	semidirect
1001. #442	C₂×D₁₃	semidirect
1020. C₄×D₈	C₂×D₁₃	semidirect
1021. C₄×D₈	C₂×D₁₃	semidirect
1025. #433	C₂×D₁₃	semidirect
1159. #127	C₂²×D₁₃	semidirect
1166. #125	C₂²×D₁₃	semidirect
1263. C₄×D₄	C₂²×D₁₃	semidirect
1264. C₄×D₄	C₂²×D₁₃	semidirect
1324. #107	C₂²×D₁₃	semidirect
1325. #107	C₂²×D₁₃	semidirect
1332. #106	C₂²×D₁₃	semidirect
1333. #106	C₂²×D₁₃	semidirect
1340. C₄⋊C₈	C₂²×D₁₃	semidirect
1341. C₄⋊C₈	C₂²×D₁₃	semidirect
1370. #102	C₂²×D₁₃	semidirect
1371. #102	C₂²×D₁₃	semidirect
1372. #102	C₂²×D₁₃	semidirect
1373. #102	C₂²×D₁₃	semidirect
1385. #97	C₂²×D₁₃	semidirect
1389. C₄×C₈	C₂²×D₁₃	semidirect
1625. C₁₃	#60578	semidirect

Maximal subgroups

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

subgroup	index
#13128563	2
D₁₃×#518	2
#13125075	2
#13125074	2
#13125073	2
#13125022	2
#13125020	2
#13125015	2
#13125013	2
#13124979	2
#13124972	2
#13124926	2
#13124925	2
#13124888	2
#13124881	2
#13124835	2
#13124834	2
#13124775	2
#13124748	2
#13124666	2
#13124664	2
#13124334	2
#13124060	2
D₁₃×#447	2
#13123685	2
#13123683	2
#13123665	2
#13123661	2
#13123492	2
C₁₃×#3122	2
#60578	13