Subgroups — #16740317

Order 3328.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128554	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128464	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127078	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127076	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127070	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127060	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127056	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127046	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127040	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127034	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126994	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126993	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126976	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126973	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126878	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126877	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126852	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125191	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124787	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124764	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124664	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124509	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124440	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124372	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124141	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124064	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123667	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123534	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123357	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#418	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88251	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
35	D₄²×C₁₃	C₂²	1	1	yes	characteristic
36	#11719511	C₂²	1	1	yes	characteristic
37	D₄×C₂²⋊D₁₃	—	2	1	no	—
38	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
39	C₂×#88191	—	2	1	no	—
40	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88168	C₂²	1	1	yes	characteristic
42	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
43	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
45	#11719422	C₂²	1	1	yes	characteristic
46	#11719420	C₂²	1	1	yes	characteristic
47	#11719409	—	2	1	no	—
48	#11719407	—	2	1	no	—
49	#11719400	C₂²	1	1	yes	characteristic, complemented
50	#11719398	—	2	1	no	—
51	#11719396	—	2	1	no	—
52	#11719394	C₂²	1	1	yes	characteristic, complemented
53	#11719366	—	2	1	no	—
54	#11719362	—	2	1	no	—
55	#11719346	C₂²	1	1	yes	characteristic, complemented
56	#11719344	C₂²	1	1	yes	characteristic, complemented
57	#11719334	C₂²	1	1	yes	characteristic, complemented
58	#11719332	C₂²	1	1	yes	characteristic, complemented
59	#11719317	C₂²	1	1	yes	characteristic
60	#11719315	—	2	1	no	—
61	#11719314	C₂²	1	1	yes	characteristic
62	#11719312	C₂²	1	1	yes	characteristic
63	#11719311	C₂²	1	1	yes	characteristic
64	#11719310	—	2	1	no	—
65	#11719296	—	2	1	no	—
66	#11719295	—	2	1	no	—
67	#11719294	—	2	1	no	—
68	D₁₃×#120	—	2	1	no	—
69	#11719289	C₂²	1	1	yes	characteristic, complemented
70	#11719279	C₂²	1	1	yes	characteristic, complemented
71	#11719268	C₂²	1	1	yes	characteristic, complemented
72	#11719259	C₂²	1	1	yes	characteristic
73	#11719255	C₂²	1	1	yes	characteristic
74	#11719252	C₂²	1	1	yes	characteristic
75	#11719250	C₂²	1	1	yes	characteristic
76	#11719237	—	2	1	no	—
77	#11719237	C₂²	1	1	yes	characteristic, complemented
78	#11719233	—	2	1	no	—
79	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
80	#11719219	C₂²	1	1	yes	characteristic, complemented
81	#11719209	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
95	#11718878	C₂²	1	1	yes	characteristic, complemented
96	#11718878	C₂²	1	1	yes	characteristic, complemented
97	#11718876	C₂²	1	1	yes	characteristic, complemented
98	#11718876	C₂²	1	1	yes	characteristic, complemented
99	#11718835	C₂²	1	1	yes	characteristic, complemented
100	#11718835	C₂²	1	1	yes	characteristic, complemented
101	#11718834	C₂²	1	1	yes	characteristic, complemented
102	#11718830	C₂²	1	1	yes	characteristic, complemented
103	#11718830	C₂²	1	1	yes	characteristic, complemented
104	#11718830	C₂²	1	1	yes	characteristic, complemented
105	#11718827	C₂²	1	1	yes	characteristic, complemented
106	#11718824	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718795	C₂²	1	1	yes	characteristic, complemented
109	#11718792	C₂²	1	1	yes	characteristic, complemented
110	#11718788	C₂²	1	1	yes	characteristic, complemented
111	#11718776	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718733	C₂²	1	1	yes	characteristic, complemented
115	#11718731	C₂²	1	1	yes	characteristic, complemented
116	#11718729	C₂²	1	1	yes	characteristic, complemented
117	#11718727	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718710	C₂²	1	1	yes	characteristic, complemented
120	#11718708	C₂²	1	1	yes	characteristic, complemented
121	#11718707	C₂²	1	1	yes	characteristic, complemented
122	#11718700	C₂²	1	1	yes	characteristic, complemented
123	#11718700	C₂²	1	1	yes	characteristic, complemented
124	#11718696	C₂²	1	1	yes	characteristic, complemented
125	#11718696	C₂²	1	1	yes	characteristic, complemented
126	#11718689	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
128	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
129	#11718673	C₂²	1	1	yes	characteristic, complemented
130	#11718669	C₂²	1	1	yes	characteristic, complemented
131	#11718662	C₂²	1	1	yes	characteristic, complemented
132	#11718657	C₂²	1	1	yes	characteristic, complemented
133	#11718629	C₂²	1	1	yes	characteristic, complemented
134	#11718627	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718549	C₂²	1	1	yes	characteristic, complemented
137	#11718547	C₂²	1	1	yes	characteristic, complemented
138	#11718546	C₂²	1	1	yes	characteristic, complemented
139	#11718543	C₂²	1	1	yes	characteristic, complemented
140	#11718542	C₂²	1	1	yes	characteristic, complemented
141	#11718541	C₂²	1	1	yes	characteristic, complemented
142	#11718533	C₂²	1	1	yes	characteristic, complemented
143	#11718531	C₂²	1	1	yes	characteristic, complemented
144	#11718528	C₂²	1	1	yes	characteristic, complemented
145	#11718526	C₂²	1	1	yes	characteristic, complemented
146	#11718522	C₂²	1	1	yes	characteristic, complemented
147	#11718507	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718500	C₂²	1	1	yes	characteristic, complemented
150	#11718499	C₂²	1	1	yes	characteristic, complemented
151	#11718478	C₂²	1	1	yes	characteristic, complemented
152	#11718477	C₂²	1	1	yes	characteristic, complemented
153	#11718468	C₂²	1	1	yes	characteristic, complemented
154	#11718465	C₂²	1	1	yes	characteristic, complemented
155	#11718448	C₂²	1	1	yes	characteristic, complemented
156	#11718447	C₂²	1	1	yes	characteristic, complemented
157	#11718446	C₂²	1	1	yes	characteristic, complemented
158	#11718445	C₂²	1	1	yes	characteristic, complemented
159	#11718445	C₂²	1	1	yes	characteristic, complemented
160	#11718443	C₂²	1	1	yes	characteristic, complemented
161	#11718442	C₂²	1	1	yes	characteristic, complemented
162	#11718440	C₂²	1	1	yes	characteristic, complemented
163	#11718438	C₂²	1	1	yes	characteristic, complemented
164	#11718436	C₂²	1	1	yes	characteristic, complemented
165	#11718434	C₂²	1	1	yes	characteristic, complemented
166	#11718434	C₂²	1	1	yes	characteristic, complemented
167	#11718434	C₂²	1	1	yes	characteristic, complemented
168	#11718433	C₂²	1	1	yes	characteristic, complemented
169	#11718433	C₂²	1	1	yes	characteristic, complemented
170	#11718432	C₂²	1	1	yes	characteristic, complemented
171	#11718432	C₂²	1	1	yes	characteristic, complemented
172	#11718432	C₂²	1	1	yes	characteristic, complemented
173	#11718431	C₂²	1	1	yes	characteristic
174	#11718431	C₂²	1	1	yes	characteristic, complemented
175	#11718431	C₂²	1	1	yes	characteristic, complemented
176	#11718431	C₂²	1	1	yes	characteristic, complemented
177	#11718431	C₂²	1	1	yes	characteristic, complemented
178	#11718431	C₂²	1	1	yes	characteristic, complemented
179	#11718431	C₂²	1	1	yes	characteristic, complemented
180	D₁₃×#102	C₂²	1	1	yes	characteristic
181	D₁₃×#102	C₂²	1	1	yes	characteristic
182	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
183	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
184	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
185	#11718429	C₂²	1	1	yes	characteristic, complemented
186	#11718427	C₂²	1	1	yes	characteristic, complemented
187	#11718426	C₂²	1	1	yes	characteristic, complemented
188	#11718425	C₂²	1	1	yes	characteristic, complemented
189	#11718421	C₂²	1	1	yes	characteristic, complemented
190	#11718420	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718390	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718388	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic, complemented
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718375	C₂²	1	1	yes	characteristic, complemented
200	#11718372	C₂²	1	1	yes	characteristic, complemented
201	#11718369	C₂²	1	1	yes	characteristic, complemented
202	#11718367	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂²×D₄×C₁₃	—	2	1	no	—
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	#88251	—	2	4	no	—
213	#88251	—	4	2	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×#6129	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₁₃	—	2	4	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	4	2	no	—
224	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×#6127	C₂³	1	1	yes	characteristic
230	C₂×#6127	C₂³	1	1	yes	characteristic
231	C₂²×D₅₂	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
236	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
237	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
238	C₁₃×#127	C₂³	1	1	yes	characteristic
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#125	—	2	1	no	—
241	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
242	C₁₃×#123	—	2	1	no	—
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
245	C₁₃×#121	—	2	1	no	—
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#120	—	2	1	no	—
249	C₁₃×#120	—	2	1	no	—
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
256	#88207	—	2	1	no	—
257	#88207	—	2	1	no	—
258	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
259	#88200	C₂³	1	1	yes	characteristic
260	#88200	C₂³	1	1	yes	characteristic, complemented
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
262	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	C₂×#6106	C₂³	1	1	yes	characteristic
265	#88194	—	2	1	no	—
266	#88194	C₂³	1	1	yes	characteristic
267	#88193	—	2	1	no	—
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	D₄	1	1	yes	characteristic
272	#88192	—	2	1	no	—
273	#88192	—	2	1	no	—
274	#88192	—	2	1	no	—
275	#88192	C₂³	1	1	yes	characteristic
276	#88192	C₂³	1	1	yes	characteristic
277	#88191	—	2	1	no	—
278	#88191	—	2	1	no	—
279	#88191	—	2	1	no	—
280	#88191	—	2	1	no	—
281	#88191	—	2	1	no	—
282	#88191	—	2	1	no	—
283	#88191	—	2	1	no	—
284	#88191	—	2	1	no	—
285	#88191	—	2	1	no	—
286	#88191	—	2	1	no	—
287	#88191	D₄	1	1	yes	characteristic
288	#88190	C₂³	1	1	yes	characteristic
289	#88189	—	2	1	no	—
290	D₄×Dic₁₃	—	2	1	no	—
291	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×#6104	C₂³	1	1	yes	characteristic
293	C₂×#6104	C₂³	1	1	yes	characteristic
294	C₂×#6104	C₂³	1	1	yes	characteristic, complemented
295	#88184	—	2	1	no	—
296	#88184	—	2	1	no	—
297	#88184	C₂³	1	1	yes	characteristic
298	#88184	C₂³	1	1	yes	characteristic
299	#88184	C₂³	1	1	yes	characteristic, complemented
300	C₄×C₂²⋊D₁₃	—	2	1	no	—
301	C₄×C₂²⋊D₁₃	—	2	1	no	—
302	C₄×C₂²⋊D₁₃	—	2	1	no	—
303	C₄×C₂²⋊D₁₃	—	2	1	no	—
304	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
305	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
306	C₂×#6103	—	2	1	no	—
307	C₂×#6103	—	2	1	no	—
308	#88180	C₂³	1	1	yes	characteristic
309	#88180	C₂³	1	1	yes	characteristic, complemented
310	#88178	C₂³	1	1	yes	characteristic
311	C₂×#6099	C₂³	1	1	yes	characteristic
312	C₂×#6099	C₂³	1	1	yes	characteristic, complemented
313	#88170	—	4	2	no	—
314	#88168	—	2	4	no	—
315	#88168	—	4	2	no	—
316	M₁₆×D₁₃	—	4	2	no	—
317	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
318	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
319	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
320	#88155	—	4	2	no	—
321	C₂×#6094	C₂³	1	1	yes	characteristic
322	C₂×#6094	C₂³	1	1	yes	characteristic
323	C₂×#6094	C₂³	1	1	yes	characteristic
324	C₂×#6094	C₂³	1	1	yes	characteristic
325	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
326	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
328	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
329	#88152	—	2	1	no	—
330	#88152	—	2	1	no	—
331	#88152	—	2	1	no	—
332	#88152	—	2	1	no	—
333	#88152	—	2	1	no	—
334	#88151	—	2	1	no	—
335	#88151	C₂³	1	1	yes	characteristic
336	#88150	—	2	1	no	—
337	#88150	—	2	1	no	—
338	#88150	D₄	1	1	yes	characteristic
339	#88149	—	2	1	no	—
340	#88149	—	2	1	no	—
341	#88149	C₂³	1	1	yes	characteristic
342	#88149	C₂³	1	1	yes	characteristic
343	#88149	C₂³	1	1	yes	characteristic, complemented
344	#88148	—	2	1	no	—
345	#88148	—	2	1	no	—
346	#88148	—	2	1	no	—
347	#88148	—	2	1	no	—
348	#88148	D₄	1	1	yes	characteristic
349	#88147	—	2	1	no	—
350	#88147	—	2	1	no	—
351	#88147	—	2	1	no	—
352	#88147	—	2	1	no	—
353	#88147	C₂³	1	1	yes	characteristic
354	#88147	C₂³	1	1	yes	characteristic, complemented
355	#88146	—	2	1	no	—
356	#88146	—	2	1	no	—
357	#88146	C₂³	1	1	yes	characteristic
358	#88146	C₂³	1	1	yes	characteristic
359	#88146	C₂³	1	1	yes	characteristic
360	#88146	C₂³	1	1	yes	characteristic
361	#88146	C₂³	1	1	yes	characteristic, complemented
362	C₄⋊C₄×D₁₃	—	2	1	no	—
363	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
364	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
366	#88144	C₂³	1	1	yes	characteristic, complemented
367	#88143	—	2	1	no	—
368	#88143	—	2	1	no	—
369	#88142	—	2	1	no	—
370	#88142	C₂³	1	1	yes	characteristic, complemented
371	#88141	—	2	1	no	—
372	#88141	—	2	1	no	—
373	#88140	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88139	—	2	1	no	—
377	#88139	—	2	1	no	—
378	#88139	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88138	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88138	D₄	1	1	yes	characteristic
385	#88137	—	2	1	no	—
386	#88137	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88137	D₄	1	1	yes	characteristic
389	#88136	—	2	1	no	—
390	#88136	—	2	1	no	—
391	#88136	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88136	D₄	1	1	yes	characteristic
394	#88135	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	—	2	1	no	—
397	C₂²⋊C₄×D₁₃	—	2	1	no	—
398	C₂²⋊C₄×D₁₃	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	#88133	—	2	1	no	—
402	#88133	—	2	1	no	—
403	#88132	D₄	1	1	yes	characteristic
404	#88131	—	2	1	no	—
405	#88129	—	2	1	no	—
406	#88129	—	2	1	no	—
407	#88129	C₂³	1	1	yes	characteristic
408	C₄×D₅₂	—	2	1	no	—
409	C₄×D₅₂	C₂³	1	1	yes	characteristic
410	C₄×D₅₂	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	C₂³	1	1	yes	characteristic, complemented
412	#88126	—	2	1	no	—
413	#88126	—	2	1	no	—
414	#88126	—	2	1	no	—
415	#88126	C₂³	1	1	yes	characteristic
416	C₄²×D₁₃	—	2	1	no	—
417	#88123	C₂³	1	1	yes	characteristic, complemented
418	C₄×Dic₂₆	—	2	1	no	—
419	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
420	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
421	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
423	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×#102	C₂³	1	1	yes	characteristic
426	C₁₃×#102	C₂³	1	1	yes	characteristic
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
431	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
432	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
436	#88075	C₂³	1	1	yes	characteristic, complemented
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic, complemented
444	#88072	C₂³	1	1	yes	characteristic, complemented
445	#88072	C₂³	1	1	yes	characteristic, complemented
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic, complemented
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic, complemented
458	#88060	C₂³	1	1	yes	characteristic, complemented
459	#88058	C₂³	1	1	yes	characteristic, complemented
460	#88058	C₂³	1	1	yes	characteristic, complemented
461	#88057	C₂³	1	1	yes	characteristic, complemented
462	#88056	C₂³	1	1	yes	characteristic, complemented
463	#88056	C₂³	1	1	yes	characteristic, complemented
464	#88056	C₂³	1	1	yes	characteristic, complemented
465	#88055	C₂³	1	1	yes	characteristic, complemented
466	#88054	C₂³	1	1	yes	characteristic, complemented
467	#88054	C₂³	1	1	yes	characteristic, complemented
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
469	#88050	C₂³	1	1	yes	characteristic, complemented
470	#88050	C₂³	1	1	yes	characteristic, complemented
471	#88050	C₂³	1	1	yes	characteristic, complemented
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic, complemented
479	#88048	C₂³	1	1	yes	characteristic, complemented
480	#88048	C₂³	1	1	yes	characteristic, complemented
481	#88048	C₂³	1	1	yes	characteristic, complemented
482	#88048	C₂³	1	1	yes	characteristic, complemented
483	#88047	C₂³	1	1	yes	characteristic, complemented
484	#88047	C₂³	1	1	yes	characteristic, complemented
485	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
486	C₄×#1055	C₂³	1	1	yes	characteristic, complemented
487	#61175	—	13	1	no	maximal, Sylow
488	C₂⁴×C₁₃	—	2	1	no	—
489	C₂⁴×C₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	4	4	no	—
497	C₂³×D₁₃	—	8	2	no	—
498	C₂³×D₁₃	—	8	2	no	—
499	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₁₃	—	2	2	no	—
502	C₂×D₄×C₁₃	—	2	2	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	4	1	no	—
510	C₂×D₄×C₁₃	—	4	1	no	—
511	C₂×D₄×C₁₃	—	8	2	no	—
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	4	4	no	—
536	C₂×C₂²⋊D₁₃	—	4	4	no	—
537	C₂×C₂²⋊D₁₃	—	4	4	no	—
538	C₂×C₂²⋊D₁₃	—	8	2	no	—
539	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×Dic₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	2	1	no	—
546	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
547	#6131	—	2	2	no	—
548	#6131	—	2	2	no	—
549	#6129	—	2	2	no	—
550	#6129	—	2	2	no	—
551	#6129	—	2	2	no	—
552	#6129	—	4	1	no	—
553	#6129	—	4	4	no	—
554	D₄×D₁₃	—	2	2	no	—
555	D₄×D₁₃	—	2	2	no	—
556	D₄×D₁₃	—	2	2	no	—
557	D₄×D₁₃	—	2	2	no	—
558	D₄×D₁₃	—	2	2	no	—
559	D₄×D₁₃	—	2	2	no	—
560	D₄×D₁₃	—	4	1	no	—
561	D₄×D₁₃	—	4	1	no	—
562	D₄×D₁₃	—	4	1	no	—
563	D₄×D₁₃	—	4	4	no	—
564	D₄×D₁₃	—	4	4	no	—
565	D₄×D₁₃	—	4	4	no	—
566	D₄×D₁₃	—	8	2	no	—
567	D₄×D₁₃	—	8	2	no	—
568	D₄×D₁₃	#41	1	4	yes	—
569	#6127	—	2	2	no	—
570	#6127	—	2	2	no	—
571	#6127	—	2	2	no	—
572	#6127	—	4	1	no	—
573	C₂×D₅₂	—	2	2	no	—
574	C₂×D₅₂	—	2	1	no	—
575	C₂×D₅₂	—	2	1	no	—
576	C₂×D₅₂	—	2	1	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	4	1	no	—
580	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
581	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
582	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
583	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
584	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₁₃	—	2	2	no	—
586	C₂×C₄×D₁₃	—	2	2	no	—
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	2	1	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×C₄×D₁₃	—	2	1	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₂₆	—	2	1	no	—
602	C₂×Dic₂₆	—	2	1	no	—
603	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
604	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
605	C₁₃×SD₁₆	—	2	2	no	—
606	C₁₃×SD₁₆	—	4	1	no	—
607	C₁₃×SD₁₆	—	4	1	no	—
608	C₁₃×M₁₆	—	4	1	no	—
609	C₂×C₈×C₁₃	—	4	1	no	—
610	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₄²×C₁₃	—	2	1	no	—
634	C₄²×C₁₃	—	2	1	no	—
635	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
646	#6107	—	4	1	no	—
647	#6106	—	2	2	no	—
648	#6106	—	4	1	no	—
649	#6104	—	2	2	no	—
650	#6104	—	4	1	no	—
651	#6104	—	4	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	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	C₂×D₄	1	1	yes	characteristic
673	#6103	C₂×D₄	1	1	yes	characteristic
674	#6103	C₂×D₄	1	1	yes	characteristic
675	#6103	C₂×D₄	1	1	yes	characteristic
676	#6103	C₂×D₄	1	1	yes	characteristic
677	#6103	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₁₃	—	2	1	no	—
679	C₄⋊Dic₁₃	—	2	1	no	—
680	C₄⋊Dic₁₃	—	2	1	no	—
681	C₄⋊Dic₁₃	—	2	1	no	—
682	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
683	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
684	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
685	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
686	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	C₂×D₄	1	1	yes	characteristic
696	#6101	C₂×D₄	1	1	yes	characteristic
697	#6101	C₂×D₄	1	1	yes	characteristic
698	#6101	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	—	2	1	no	—
705	C₄×Dic₁₃	—	2	1	no	—
706	C₄×Dic₁₃	—	2	1	no	—
707	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
708	#6099	—	4	1	no	—
709	#6099	—	4	1	no	—
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	D₁₀₄	—	2	2	no	—
715	D₁₀₄	—	4	1	no	—
716	#6095	—	4	1	no	—
717	#6094	—	2	2	no	—
718	#6094	—	2	2	no	—
719	#6094	—	4	1	no	—
720	#6094	—	4	1	no	—
721	#6094	—	4	1	no	—
722	C₈×D₁₃	—	2	2	no	—
723	C₈×D₁₃	—	2	2	no	—
724	C₈×D₁₃	—	4	1	no	—
725	#3493	—	13	1	no	—
726	#3484	—	13	1	no	—
727	#3325	—	13	1	no	—
728	#3325	—	13	1	no	—
729	#3324	—	13	1	no	—
730	#3324	—	13	1	no	—
731	#3323	—	13	1	no	—
732	#3323	—	13	1	no	—
733	#3322	—	13	1	no	—
734	#3322	—	13	1	no	—
735	#3319	—	13	1	no	—
736	#3319	—	13	1	no	—
737	#3318	—	13	1	no	—
738	#3318	—	13	1	no	—
739	#3311	—	13	1	no	—
740	#3311	—	13	1	no	—
741	#3310	—	13	1	no	—
742	#3310	D₁₃	1	1	yes	characteristic, complemented
743	#3136	—	13	1	no	—
744	#3096	—	13	1	no	—
745	#3093	—	13	1	no	—
746	#3081	—	13	1	no	—
747	#3062	—	13	1	no	—
748	#3054	—	13	1	no	—
749	#3045	—	13	1	no	—
750	#3012	—	13	1	no	—
751	#3003	—	13	1	no	—
752	#2946	—	13	1	no	—
753	#2930	—	13	1	no	—
754	#2897	—	13	1	no	—
755	C₂×#418	—	13	1	no	—
756	C₂³×C₁₃	—	2	1	no	—
757	C₂³×C₁₃	—	2	1	no	—
758	C₂³×C₁₃	—	2	1	no	—
759	C₂³×C₁₃	—	4	2	no	—
760	C₂³×C₁₃	—	4	2	no	—
761	C₂³×C₁₃	—	4	2	no	—
762	C₂³×C₁₃	—	8	1	no	—
763	C₂³×C₁₃	—	8	1	no	—
764	C₂³×C₁₃	—	8	1	no	—
765	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
766	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂²×D₁₃	—	2	1	no	—
768	C₂²×D₁₃	—	2	2	no	—
769	C₂²×D₁₃	—	2	4	no	—
770	C₂²×D₁₃	—	2	1	no	—
771	C₂²×D₁₃	—	2	1	no	—
772	C₂²×D₁₃	—	4	1	no	—
773	C₂²×D₁₃	—	4	1	no	—
774	C₂²×D₁₃	—	4	2	no	—
775	C₂²×D₁₃	—	4	2	no	—
776	C₂²×D₁₃	—	4	2	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	4	2	no	—
779	C₂²×D₁₃	—	4	2	no	—
780	C₂²×D₁₃	—	4	2	no	—
781	C₂²×D₁₃	—	4	2	no	—
782	C₂²×D₁₃	—	8	1	no	—
783	C₂²×D₁₃	—	8	1	no	—
784	C₂²×D₁₃	—	8	1	no	—
785	C₂²×D₁₃	—	8	1	no	—
786	C₂²×D₁₃	—	8	1	no	—
787	C₂²×D₁₃	—	8	1	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	—	8	1	no	—
790	C₂²×D₁₃	—	8	1	no	—
791	C₂²×D₁₃	—	8	16	no	—
792	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	D₄×C₁₃	—	2	1	no	—
798	D₄×C₁₃	—	2	1	no	—
799	D₄×C₁₃	—	2	1	no	—
800	D₄×C₁₃	—	2	1	no	—
801	D₄×C₁₃	—	2	1	no	—
802	D₄×C₁₃	—	4	1	no	—
803	D₄×C₁₃	—	4	2	no	—
804	D₄×C₁₃	—	4	2	no	—
805	D₄×C₁₃	—	4	2	no	—
806	D₄×C₁₃	—	8	1	no	—
807	D₄×C₁₃	—	8	1	no	—
808	D₄×C₁₃	—	8	1	no	—
809	D₄×C₁₃	C₂×#41	1	2	yes	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	8	1	no	—
820	C₂×C₄×C₁₃	—	8	1	no	—
821	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
826	C₂²⋊D₁₃	—	2	2	no	—
827	C₂²⋊D₁₃	—	2	2	no	—
828	C₂²⋊D₁₃	—	2	4	no	—
829	C₂²⋊D₁₃	—	4	1	no	—
830	C₂²⋊D₁₃	—	4	1	no	—
831	C₂²⋊D₁₃	—	4	2	no	—
832	C₂²⋊D₁₃	—	4	2	no	—
833	C₂²⋊D₁₃	—	4	2	no	—
834	C₂²⋊D₁₃	—	4	2	no	—
835	C₂²⋊D₁₃	—	4	2	no	—
836	C₂²⋊D₁₃	—	4	2	no	—
837	C₂²⋊D₁₃	—	4	2	no	—
838	C₂²⋊D₁₃	—	4	2	no	—
839	C₂²⋊D₁₃	—	8	1	no	—
840	C₂²⋊D₁₃	—	8	1	no	—
841	C₂²⋊D₁₃	—	8	1	no	—
842	C₂²⋊D₁₃	—	8	1	no	—
843	C₂²⋊D₁₃	—	8	1	no	—
844	C₂²⋊D₁₃	—	8	1	no	—
845	C₂×Dic₁₃	—	2	2	no	—
846	C₂×Dic₁₃	—	2	1	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	4	2	no	—
852	C₂×Dic₁₃	—	4	2	no	—
853	C₂×Dic₁₃	—	8	1	no	—
854	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
855	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
856	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
859	D₅₂	—	2	2	no	—
860	D₅₂	—	2	1	no	—
861	D₅₂	—	2	1	no	—
862	D₅₂	—	2	1	no	—
863	D₅₂	—	2	1	no	—
864	D₅₂	—	2	1	no	—
865	D₅₂	—	4	1	no	—
866	D₅₂	—	4	2	no	—
867	D₅₂	—	4	2	no	—
868	D₅₂	—	8	1	no	—
869	D₅₂	—	8	1	no	—
870	D₅₂	—	8	1	no	—
871	D₅₂	C₂×#41	1	2	yes	—
872	C₄×D₁₃	—	2	2	no	—
873	C₄×D₁₃	—	2	1	no	—
874	C₄×D₁₃	—	2	1	no	—
875	C₄×D₁₃	—	2	1	no	—
876	C₄×D₁₃	—	2	1	no	—
877	C₄×D₁₃	—	2	2	no	—
878	C₄×D₁₃	—	4	2	no	—
879	C₄×D₁₃	—	4	2	no	—
880	C₄×D₁₃	—	8	1	no	—
881	C₄×D₁₃	—	8	1	no	—
882	C₄×D₁₃	—	8	1	no	—
883	C₄×D₁₃	—	8	1	no	—
884	C₄×D₁₃	—	8	1	no	—
885	C₄×D₁₃	—	8	1	no	—
886	C₄×D₁₃	—	8	1	no	—
887	C₄×D₁₃	C₂×#41	1	2	yes	—
888	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
889	Dic₂₆	—	2	2	no	—
890	Dic₂₆	—	2	1	no	—
891	Dic₂₆	—	2	1	no	—
892	Dic₂₆	—	8	1	no	—
893	Dic₂₆	—	8	1	no	—
894	C₈×C₁₃	—	2	1	no	—
895	C₈×C₁₃	—	2	1	no	—
896	C₈×C₁₃	—	2	1	no	—
897	C₈×C₁₃	—	2	1	no	—
898	#1055	—	2	1	no	—
899	#1055	—	2	1	no	—
900	#1055	—	2	1	no	—
901	#1055	—	2	1	no	—
902	C₂×H(5,𝔽₂)	—	13	1	no	—
903	C₂³×D₄	—	13	1	no	—
904	C₂×AGL(1,ℤ/8)	—	13	1	no	—
905	C₂×AGL(1,ℤ/8)	—	13	1	no	—
906	C₂×#135	—	13	1	no	—
907	C₂×#131	—	13	1	no	—
908	C₂²×M₁₆	—	13	1	no	—
909	#556	—	13	1	no	—
910	#556	—	13	1	no	—
911	#556	—	26	1	no	—
912	#555	—	13	1	no	—
913	#555	—	13	1	no	—
914	#555	—	26	1	no	—
915	#553	—	13	1	no	—
916	#553	—	13	1	no	—
917	#553	—	26	1	no	—
918	#552	—	13	1	no	—
919	#552	—	26	1	no	—
920	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
921	#546	—	13	1	no	—
922	#546	—	13	1	no	—
923	#546	—	13	1	no	—
924	#546	—	13	1	no	—
925	#546	—	26	1	no	—
926	#546	—	26	1	no	—
927	D₄²	—	13	1	no	—
928	D₄²	—	13	1	no	—
929	D₄²	—	13	1	no	—
930	D₄²	—	26	1	no	—
931	D₄²	—	26	1	no	—
932	D₄²	C₂×D₁₃	1	1	yes	characteristic
933	#544	—	13	1	no	—
934	#538	—	26	1	no	—
935	#538	—	26	1	no	—
936	#537	—	13	1	no	—
937	#535	—	13	1	no	—
938	#535	—	13	1	no	—
939	#534	—	26	1	no	—
940	#534	—	26	1	no	—
941	#529	—	26	1	no	—
942	#529	—	26	1	no	—
943	#525	—	13	1	no	—
944	#525	—	13	1	no	—
945	#525	—	13	1	no	—
946	C₂×#120	—	26	1	no	—
947	C₂×#120	—	26	1	no	—
948	#520	—	13	1	no	—
949	#520	—	13	1	no	—
950	#518	—	13	1	no	—
951	C₂×#117	—	13	1	no	—
952	#490	—	13	1	no	—
953	#490	C₂×D₁₃	1	1	yes	characteristic, complemented
954	#489	—	13	1	no	—
955	#489	—	13	1	no	—
956	#488	—	13	1	no	—
957	#488	—	13	1	no	—
958	#486	—	13	1	no	—
959	#486	—	13	1	no	—
960	#485	—	13	1	no	—
961	#485	—	13	1	no	—
962	#485	—	13	1	no	—
963	#485	—	13	1	no	—
964	#482	—	13	1	no	—
965	#482	—	13	1	no	—
966	#482	—	13	1	no	—
967	#482	—	13	1	no	—
968	#482	—	13	1	no	—
969	#482	—	13	1	no	—
970	#482	—	13	1	no	—
971	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#481	—	13	1	no	—
973	#481	—	13	1	no	—
974	#480	—	13	1	no	—
975	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
976	#478	—	13	1	no	—
977	#478	—	13	1	no	—
978	#478	—	13	1	no	—
979	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
980	#476	—	13	1	no	—
981	#476	—	13	1	no	—
982	#474	—	13	1	no	—
983	#474	—	13	1	no	—
984	#470	—	13	1	no	—
985	#470	—	13	1	no	—
986	#469	—	13	1	no	—
987	#469	—	13	1	no	—
988	#469	—	13	1	no	—
989	#469	—	13	1	no	—
990	#468	—	13	1	no	—
991	#468	—	13	1	no	—
992	#468	—	13	1	no	—
993	#468	—	13	1	no	—
994	#468	—	13	1	no	—
995	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#466	—	13	1	no	—
997	#466	—	13	1	no	—
998	#465	—	13	1	no	—
999	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1000	#464	—	13	1	no	—
1001	#464	—	13	1	no	—
1002	#463	—	13	1	no	—
1003	#463	—	13	1	no	—
1004	#460	—	13	1	no	—
1005	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	#459	—	13	1	no	—
1007	#459	—	13	1	no	—
1008	#452	—	13	1	no	—
1009	#452	—	13	1	no	—
1010	#450	—	13	1	no	—
1011	#450	—	13	1	no	—
1012	#450	—	13	1	no	—
1013	#450	—	13	1	no	—
1014	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1016	#449	—	13	1	no	—
1017	#449	—	13	1	no	—
1018	#447	—	13	1	no	—
1019	#447	—	13	1	no	—
1020	#447	—	13	1	no	—
1021	#447	—	13	1	no	—
1022	#447	—	13	1	no	—
1023	#447	—	13	1	no	—
1024	#442	—	13	1	no	—
1025	#442	—	13	1	no	—
1026	#440	—	13	1	no	—
1027	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1028	C₄×SD₁₆	—	13	1	no	—
1029	C₄×SD₁₆	—	13	1	no	—
1030	C₄×D₈	—	13	1	no	—
1031	C₄×D₈	—	13	1	no	—
1032	#436	—	13	1	no	—
1033	#436	—	13	1	no	—
1034	#436	—	13	1	no	—
1035	#436	—	13	1	no	—
1036	#435	—	13	1	no	—
1037	#435	—	13	1	no	—
1038	#435	—	13	1	no	—
1039	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1040	#428	—	13	1	no	—
1041	#428	—	13	1	no	—
1042	#427	—	13	1	no	—
1043	#424	—	13	1	no	—
1044	#418	—	13	1	no	—
1045	#418	—	13	1	no	—
1046	#418	—	13	1	no	—
1047	#418	—	13	1	no	—
1048	#418	—	13	1	no	—
1049	#418	—	13	1	no	—
1050	#418	—	13	1	no	—
1051	#418	—	13	1	no	—
1052	#418	—	13	1	no	—
1053	#418	—	13	1	no	—
1054	#418	—	13	1	no	—
1055	#418	C₂×D₁₃	1	1	yes	characteristic, complemented
1056	#417	—	13	1	no	—
1057	#417	—	13	1	no	—
1058	#417	—	13	1	no	—
1059	#417	—	13	1	no	—
1060	#416	—	13	1	no	—
1061	#416	—	13	1	no	—
1062	#416	—	13	1	no	—
1063	#416	—	13	1	no	—
1064	C₂×#102	—	13	1	no	—
1065	C₂×#102	—	13	1	no	—
1066	C₂×#102	—	13	1	no	—
1067	C₂×#102	—	13	1	no	—
1068	C₂×#102	—	13	1	no	—
1069	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1070	#408	—	13	1	no	—
1071	#407	—	13	1	no	—
1072	#405	—	13	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	2	1	no	—
1075	C₂²×C₁₃	—	2	1	no	—
1076	C₂²×C₁₃	—	2	1	no	—
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	2	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	4	1	no	—
1081	C₂²×C₁₃	—	4	1	no	—
1082	C₂²×C₁₃	—	4	1	no	—
1083	C₂²×C₁₃	—	4	1	no	—
1084	C₂²×C₁₃	—	4	1	no	—
1085	C₂²×C₁₃	—	4	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	—	8	4	no	—
1089	C₂²×C₁₃	—	16	2	no	—
1090	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1091	C₂×D₁₃	—	2	1	no	—
1092	C₂×D₁₃	—	2	1	no	—
1093	C₂×D₁₃	—	2	1	no	—
1094	C₂×D₁₃	—	2	1	no	—
1095	C₂×D₁₃	—	2	1	no	—
1096	C₂×D₁₃	—	2	1	no	—
1097	C₂×D₁₃	—	2	1	no	—
1098	C₂×D₁₃	—	2	1	no	—
1099	C₂×D₁₃	—	2	2	no	—
1100	C₂×D₁₃	—	4	4	no	—
1101	C₂×D₁₃	—	4	1	no	—
1102	C₂×D₁₃	—	4	1	no	—
1103	C₂×D₁₃	—	4	1	no	—
1104	C₂×D₁₃	—	4	1	no	—
1105	C₂×D₁₃	—	4	1	no	—
1106	C₂×D₁₃	—	4	1	no	—
1107	C₂×D₁₃	—	4	1	no	—
1108	C₂×D₁₃	—	4	1	no	—
1109	C₂×D₁₃	—	8	4	no	—
1110	C₂×D₁₃	—	8	4	no	—
1111	C₂×D₁₃	—	8	4	no	—
1112	C₂×D₁₃	—	8	4	no	—
1113	C₂×D₁₃	—	8	4	no	—
1114	C₂×D₁₃	—	16	2	no	—
1115	C₂×D₁₃	#546	1	2	yes	—
1116	C₄×C₁₃	—	2	1	no	—
1117	C₄×C₁₃	—	2	1	no	—
1118	C₄×C₁₃	—	2	1	no	—
1119	C₄×C₁₃	—	2	1	no	—
1120	C₄×C₁₃	—	4	1	no	—
1121	C₄×C₁₃	—	4	1	no	—
1122	C₄×C₁₃	—	4	1	no	—
1123	C₄×C₁₃	—	4	1	no	—
1124	C₄×C₁₃	—	4	1	no	—
1125	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1126	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1127	Dic₁₃	—	2	1	no	—
1128	Dic₁₃	—	2	1	no	—
1129	Dic₁₃	—	2	1	no	—
1130	Dic₁₃	—	2	1	no	—
1131	Dic₁₃	—	4	1	no	—
1132	Dic₁₃	—	4	1	no	—
1133	Dic₁₃	—	4	1	no	—
1134	Dic₁₃	—	4	1	no	—
1135	Dic₁₃	—	4	1	no	—
1136	Dic₁₃	#546	1	2	yes	—
1137	C₂⁵	—	26	1	no	—
1138	H(5,𝔽₂)	—	26	4	no	—
1139	H(5,𝔽₂)	—	52	2	no	—
1140	C₂×#41	—	13	1	no	—
1141	C₂×#41	—	13	1	no	—
1142	C₂×#41	—	13	1	no	—
1143	C₂×#41	—	13	1	no	—
1144	C₂×#41	—	13	1	no	—
1145	C₂×#41	—	26	1	no	—
1146	C₂²×D₄	—	2	1	no	—
1147	C₂²×D₄	—	13	1	no	—
1148	C₂²×D₄	—	13	1	no	—
1149	C₂²×D₄	—	13	1	no	—
1150	C₂²×D₄	—	13	1	no	—
1151	C₂²×D₄	—	13	1	no	—
1152	C₂²×D₄	—	13	1	no	—
1153	C₂²×D₄	—	26	1	no	—
1154	C₂²×D₄	—	26	1	no	—
1155	C₂²×D₄	—	26	1	no	—
1156	C₂²×D₄	—	26	4	no	—
1157	C₂²×D₄	—	26	1	no	—
1158	C₂²×D₄	—	26	1	no	—
1159	C₂²×D₄	—	26	1	no	—
1160	C₂²×D₄	—	26	1	no	—
1161	C₂²×D₄	—	26	1	no	—
1162	C₂²×D₄	—	26	1	no	—
1163	C₂²×D₄	—	52	2	no	—
1164	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂³×C₄	—	13	1	no	—
1167	AGL(1,ℤ/8)	—	26	4	no	—
1168	AGL(1,ℤ/8)	—	52	2	no	—
1169	#135	—	52	2	no	—
1170	C₂×Q₁₆	—	13	1	no	—
1171	C₂×SD₁₆	—	13	1	no	—
1172	C₂×SD₁₆	—	13	1	no	—
1173	C₂×SD₁₆	—	13	1	no	—
1174	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1175	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1176	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1177	C₂×D₈	—	13	1	no	—
1178	C₂×D₈	—	13	1	no	—
1179	C₂×D₈	—	13	1	no	—
1180	C₂×D₈	—	13	1	no	—
1181	C₂×D₈	—	13	1	no	—
1182	#131	—	52	2	no	—
1183	C₂×M₁₆	—	13	1	no	—
1184	C₂×M₁₆	—	13	1	no	—
1185	C₂×M₁₆	—	13	1	no	—
1186	C₂×M₁₆	—	13	1	no	—
1187	C₂×M₁₆	—	13	1	no	—
1188	C₂×M₁₆	—	13	1	no	—
1189	C₂×M₁₆	—	13	1	no	—
1190	C₂×M₁₆	—	52	2	no	—
1191	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1192	C₂²×C₈	—	13	1	no	—
1193	C₂²×C₈	—	13	1	no	—
1194	C₂²×C₈	—	13	1	no	—
1195	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1196	C₄⋊Q₈	—	13	1	no	—
1197	C₄⋊Q₈	—	13	1	no	—
1198	C₄⋊Q₈	—	26	1	no	—
1199	#127	—	13	1	no	—
1200	#127	—	26	1	no	—
1201	#127	C₂²×D₁₃	1	1	yes	characteristic
1202	#126	—	2	1	no	—
1203	#126	—	26	1	no	—
1204	#126	—	26	1	no	—
1205	#126	—	26	1	no	—
1206	#126	—	26	1	no	—
1207	#126	—	26	1	no	—
1208	#126	—	26	1	no	—
1209	#126	—	26	1	no	—
1210	#125	—	2	1	no	—
1211	#125	—	13	1	no	—
1212	#125	—	26	1	no	—
1213	#125	—	26	1	no	—
1214	#125	C₂²×D₁₃	1	1	yes	characteristic, complemented
1215	#124	—	13	1	no	—
1216	#124	—	13	1	no	—
1217	#124	—	26	1	no	—
1218	#124	—	26	1	no	—
1219	#124	—	26	1	no	—
1220	#124	—	26	1	no	—
1221	#124	—	26	1	no	—
1222	#124	—	26	1	no	—
1223	#124	—	26	1	no	—
1224	#123	—	2	1	no	—
1225	#123	—	13	1	no	—
1226	#123	—	13	1	no	—
1227	#123	—	26	1	no	—
1228	#123	—	26	1	no	—
1229	#123	—	26	1	no	—
1230	#123	—	26	1	no	—
1231	#123	—	26	1	no	—
1232	#123	—	26	1	no	—
1233	#123	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	C₂²⋊Q₈	—	13	1	no	—
1237	C₂²⋊Q₈	—	13	1	no	—
1238	C₂²⋊Q₈	—	13	1	no	—
1239	C₂²⋊Q₈	—	13	1	no	—
1240	C₂²⋊Q₈	—	13	1	no	—
1241	C₂²⋊Q₈	—	13	1	no	—
1242	C₂²⋊Q₈	—	26	1	no	—
1243	C₂²⋊Q₈	—	26	1	no	—
1244	C₂²⋊Q₈	—	26	1	no	—
1245	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1246	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1247	#121	—	2	1	no	—
1248	#121	—	13	1	no	—
1249	#121	—	13	1	no	—
1250	#121	—	13	1	no	—
1251	#121	—	13	1	no	—
1252	#121	—	13	1	no	—
1253	#121	—	13	1	no	—
1254	#121	—	13	1	no	—
1255	#121	—	13	1	no	—
1256	#121	—	13	1	no	—
1257	#121	—	13	1	no	—
1258	#121	—	26	1	no	—
1259	#121	—	26	1	no	—
1260	#121	—	26	1	no	—
1261	#121	—	26	1	no	—
1262	#121	—	26	1	no	—
1263	#121	—	26	1	no	—
1264	#121	—	26	1	no	—
1265	#121	—	26	1	no	—
1266	#121	—	26	1	no	—
1267	#121	—	26	1	no	—
1268	#121	—	26	1	no	—
1269	#121	—	26	1	no	—
1270	#121	—	26	1	no	—
1271	#121	—	26	1	no	—
1272	#121	—	26	1	no	—
1273	#121	—	26	1	no	—
1274	#121	C₂²×D₁₃	1	1	yes	characteristic
1275	#121	C₂²×D₁₃	1	1	yes	characteristic
1276	#120	—	2	1	no	—
1277	#120	—	2	1	no	—
1278	#120	—	13	1	no	—
1279	#120	—	13	1	no	—
1280	#120	—	26	1	no	—
1281	#120	—	26	1	no	—
1282	#120	—	26	1	no	—
1283	#120	—	26	1	no	—
1284	#120	—	26	1	no	—
1285	#120	—	26	1	no	—
1286	#120	—	26	1	no	—
1287	#120	—	26	1	no	—
1288	#120	—	26	1	no	—
1289	#120	—	26	1	no	—
1290	#120	—	26	1	no	—
1291	#120	—	26	1	no	—
1292	#120	—	26	1	no	—
1293	#120	—	26	1	no	—
1294	#120	—	26	1	no	—
1295	#120	—	26	1	no	—
1296	C₄×Q₈	—	13	1	no	—
1297	C₄×Q₈	—	26	1	no	—
1298	C₄×Q₈	—	26	1	no	—
1299	C₄×Q₈	—	26	1	no	—
1300	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1301	C₄×D₄	—	13	1	no	—
1302	C₄×D₄	—	13	1	no	—
1303	C₄×D₄	—	13	1	no	—
1304	C₄×D₄	—	13	1	no	—
1305	C₄×D₄	—	13	1	no	—
1306	C₄×D₄	—	13	1	no	—
1307	C₄×D₄	—	13	1	no	—
1308	C₄×D₄	—	13	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	—	26	1	no	—
1313	C₄×D₄	—	26	1	no	—
1314	C₄×D₄	—	26	1	no	—
1315	C₄×D₄	—	26	1	no	—
1316	C₄×D₄	—	26	1	no	—
1317	C₄×D₄	—	26	1	no	—
1318	C₄×D₄	—	26	1	no	—
1319	C₄×D₄	—	26	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1323	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1324	#117	—	2	1	no	—
1325	#117	—	13	1	no	—
1326	#117	—	13	1	no	—
1327	#117	—	13	1	no	—
1328	#117	—	13	1	no	—
1329	#117	—	13	1	no	—
1330	#117	—	13	1	no	—
1331	#117	—	13	1	no	—
1332	#117	—	13	1	no	—
1333	#117	—	26	1	no	—
1334	#117	—	26	1	no	—
1335	#117	—	26	1	no	—
1336	#117	—	26	1	no	—
1337	#117	—	26	1	no	—
1338	#117	—	26	1	no	—
1339	#117	C₂²×D₁₃	1	1	yes	characteristic
1340	C₂×C₄⋊C₄	—	13	1	no	—
1341	C₂×C₄⋊C₄	—	13	1	no	—
1342	C₂×C₄⋊C₄	—	13	1	no	—
1343	C₂×C₄⋊C₄	—	26	1	no	—
1344	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1345	C₂×C₂²⋊C₄	—	26	1	no	—
1346	C₂×C₂²⋊C₄	—	26	1	no	—
1347	C₂×C₂²⋊C₄	—	26	1	no	—
1348	C₂×C₂²⋊C₄	—	26	1	no	—
1349	C₂×C₂²⋊C₄	—	26	1	no	—
1350	C₂×C₂²⋊C₄	—	26	1	no	—
1351	C₂×C₂²⋊C₄	—	26	1	no	—
1352	C₂×C₄²	—	26	1	no	—
1353	#107	—	13	1	no	—
1354	#107	—	13	1	no	—
1355	#107	—	13	1	no	—
1356	#107	—	13	1	no	—
1357	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1358	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1359	#106	—	13	1	no	—
1360	#106	—	13	1	no	—
1361	#106	—	13	1	no	—
1362	#106	—	13	1	no	—
1363	#106	—	13	1	no	—
1364	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1365	C₄⋊C₈	—	13	1	no	—
1366	C₄⋊C₈	—	13	1	no	—
1367	C₄⋊C₈	—	13	1	no	—
1368	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	—	13	1	no	—
1384	#102	—	13	1	no	—
1385	#102	—	13	1	no	—
1386	#102	—	13	1	no	—
1387	#102	—	13	1	no	—
1388	#102	—	13	1	no	—
1389	#102	—	13	1	no	—
1390	#102	—	13	1	no	—
1391	#102	—	13	1	no	—
1392	#102	—	13	1	no	—
1393	#102	—	13	1	no	—
1394	#102	—	13	1	no	—
1395	#102	—	13	1	no	—
1396	#102	—	13	1	no	—
1397	#102	—	13	1	no	—
1398	#102	—	13	1	no	—
1399	#102	—	13	1	no	—
1400	#102	C₂²×D₁₃	1	1	yes	characteristic
1401	#102	C₂²×D₁₃	1	1	yes	characteristic
1402	#102	C₂²×D₁₃	1	1	yes	characteristic
1403	#102	C₂²×D₁₃	1	1	yes	characteristic
1404	#102	C₂²×D₁₃	1	1	yes	characteristic
1405	#102	C₂²×D₁₃	1	1	yes	characteristic
1406	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1407	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1408	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1409	C₂²⋊C₈	—	13	1	no	—
1410	C₂²⋊C₈	—	13	1	no	—
1411	C₂²⋊C₈	—	13	1	no	—
1412	C₂²⋊C₈	—	13	1	no	—
1413	C₂²⋊C₈	—	13	1	no	—
1414	C₂²⋊C₈	—	13	1	no	—
1415	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1416	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1417	#97	—	13	1	no	—
1418	#97	C₂²×D₁₃	1	1	yes	characteristic, complemented
1419	C₄×C₈	—	13	1	no	—
1420	C₄×C₈	—	13	1	no	—
1421	C₂×C₁₃	—	4	1	no	—
1422	C₂×C₁₃	—	4	2	no	—
1423	C₂×C₁₃	—	4	1	no	—
1424	C₂×C₁₃	—	8	1	no	—
1425	C₂×C₁₃	—	8	1	no	—
1426	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1427	C₂×C₁₃	#3585	1	1	yes	characteristic
1428	C₂×C₁₃	#3585	1	1	yes	characteristic
1429	D₁₃	—	2	2	no	—
1430	D₁₃	—	4	1	no	—
1431	D₁₃	—	4	1	no	—
1432	D₁₃	—	4	2	no	—
1433	D₁₃	—	8	1	no	—
1434	D₁₃	—	8	1	no	—
1435	C₂⁴	—	2	1	no	—
1436	C₂⁴	—	2	1	no	—
1437	C₂⁴	—	13	1	no	—
1438	C₂⁴	—	26	1	no	—
1439	C₂⁴	—	26	1	no	—
1440	C₂⁴	—	26	1	no	—
1441	C₂⁴	—	26	1	no	—
1442	C₂⁴	—	26	1	no	—
1443	C₂⁴	—	26	1	no	—
1444	C₂⁴	—	52	4	no	—
1445	C₂⁴	—	104	2	no	—
1446	C₂⁴	—	104	2	no	—
1447	#41	—	26	2	no	—
1448	#41	—	26	2	no	—
1449	#41	—	26	2	no	—
1450	#41	—	26	2	no	—
1451	#41	—	26	2	no	—
1452	#41	—	26	2	no	—
1453	#41	—	26	2	no	—
1454	#41	—	26	2	no	—
1455	#41	—	52	1	no	—
1456	#41	—	52	1	no	—
1457	#41	—	52	4	no	—
1458	C₂×Q₈	—	13	1	no	—
1459	C₂×Q₈	—	13	1	no	—
1460	C₂×Q₈	—	26	1	no	—
1461	C₂×Q₈	—	26	1	no	—
1462	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1463	C₂×D₄	—	2	2	no	—
1464	C₂×D₄	—	2	2	no	—
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	4	1	no	—
1472	C₂×D₄	—	4	1	no	—
1473	C₂×D₄	—	8	2	no	—
1474	C₂×D₄	—	13	4	no	—
1475	C₂×D₄	—	13	1	no	—
1476	C₂×D₄	—	13	1	no	—
1477	C₂×D₄	—	13	1	no	—
1478	C₂×D₄	—	13	1	no	—
1479	C₂×D₄	—	13	1	no	—
1480	C₂×D₄	—	13	1	no	—
1481	C₂×D₄	—	13	1	no	—
1482	C₂×D₄	—	13	1	no	—
1483	C₂×D₄	—	13	1	no	—
1484	C₂×D₄	—	26	2	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	2	no	—
1490	C₂×D₄	—	26	2	no	—
1491	C₂×D₄	—	26	2	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	1	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	26	2	no	—
1500	C₂×D₄	—	26	2	no	—
1501	C₂×D₄	—	26	2	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	1	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	26	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	52	1	no	—
1512	C₂×D₄	—	52	1	no	—
1513	C₂×D₄	—	52	1	no	—
1514	C₂×D₄	—	52	1	no	—
1515	C₂×D₄	—	52	4	no	—
1516	C₂×D₄	—	52	4	no	—
1517	C₂×D₄	—	52	4	no	—
1518	C₂×D₄	—	52	4	no	—
1519	C₂×D₄	—	52	4	no	—
1520	C₂×D₄	—	52	4	no	—
1521	C₂×D₄	—	104	2	no	—
1522	C₂×D₄	—	104	2	no	—
1523	C₂×D₄	—	104	2	no	—
1524	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1525	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1526	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1527	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1528	C₂²×C₄	—	2	1	no	—
1529	C₂²×C₄	—	2	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	—	13	1	no	—
1536	C₂²×C₄	—	26	2	no	—
1537	C₂²×C₄	—	26	2	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	C₂³×D₁₃	1	1	yes	characteristic
1551	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1552	Q₁₆	—	52	1	no	—
1553	SD₁₆	—	2	2	no	—
1554	SD₁₆	—	4	1	no	—
1555	SD₁₆	—	4	1	no	—
1556	SD₁₆	—	26	2	no	—
1557	SD₁₆	—	52	1	no	—
1558	SD₁₆	—	52	1	no	—
1559	D₈	—	26	2	no	—
1560	D₈	—	26	2	no	—
1561	D₈	—	52	1	no	—
1562	D₈	—	52	1	no	—
1563	D₈	—	52	1	no	—
1564	M₁₆	—	4	1	no	—
1565	M₁₆	—	26	2	no	—
1566	M₁₆	—	26	2	no	—
1567	M₁₆	—	52	1	no	—
1568	M₁₆	—	52	1	no	—
1569	M₁₆	—	52	1	no	—
1570	M₁₆	—	52	1	no	—
1571	M₁₆	—	52	1	no	—
1572	C₂×C₈	—	4	1	no	—
1573	C₂×C₈	—	13	1	no	—
1574	C₂×C₈	—	13	1	no	—
1575	C₂×C₈	—	13	1	no	—
1576	C₂×C₈	—	13	1	no	—
1577	C₂×C₈	—	26	2	no	—
1578	C₂×C₈	—	26	2	no	—
1579	C₂×C₈	—	52	1	no	—
1580	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1581	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1582	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1583	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	13	1	no	—
1591	C₄⋊C₄	—	13	1	no	—
1592	C₄⋊C₄	—	13	1	no	—
1593	C₄⋊C₄	—	13	1	no	—
1594	C₄⋊C₄	—	13	1	no	—
1595	C₄⋊C₄	—	13	1	no	—
1596	C₄⋊C₄	—	13	1	no	—
1597	C₄⋊C₄	—	13	1	no	—
1598	C₄⋊C₄	—	13	1	no	—
1599	C₄⋊C₄	—	26	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	—	26	1	no	—
1602	C₄⋊C₄	—	26	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	—	26	1	no	—
1605	C₄⋊C₄	—	26	1	no	—
1606	C₄⋊C₄	—	26	1	no	—
1607	C₄⋊C₄	—	26	1	no	—
1608	C₄⋊C₄	—	26	1	no	—
1609	C₄⋊C₄	—	26	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1612	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1613	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1614	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1615	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	13	1	no	—
1623	C₂²⋊C₄	—	13	1	no	—
1624	C₂²⋊C₄	—	13	1	no	—
1625	C₂²⋊C₄	—	13	1	no	—
1626	C₂²⋊C₄	—	13	1	no	—
1627	C₂²⋊C₄	—	13	1	no	—
1628	C₂²⋊C₄	—	13	1	no	—
1629	C₂²⋊C₄	—	13	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₂²⋊C₄	—	26	1	no	—
1643	C₂²⋊C₄	—	26	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1659	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1660	C₄²	—	2	1	no	—
1661	C₄²	—	2	1	no	—
1662	C₄²	—	13	1	no	—
1663	C₄²	—	26	1	no	—
1664	C₄²	—	26	1	no	—
1665	C₄²	—	26	1	no	—
1666	C₄²	—	26	1	no	—
1667	C₄²	—	26	1	no	—
1668	C₄²	—	26	1	no	—
1669	C₄²	—	26	1	no	—
1670	C₄²	—	26	1	no	—
1671	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1672	C₁₃	#61175	1	1	yes	characteristic, complemented, Sylow
1673	C₂³	—	2	1	no	—
1674	C₂³	—	2	1	no	—
1675	C₂³	—	2	1	no	—
1676	C₂³	—	4	2	no	—
1677	C₂³	—	4	2	no	—
1678	C₂³	—	4	2	no	—
1679	C₂³	—	8	1	no	—
1680	C₂³	—	8	1	no	—
1681	C₂³	—	8	1	no	—
1682	C₂³	—	13	1	no	—
1683	C₂³	—	13	1	no	—
1684	C₂³	—	13	1	no	—
1685	C₂³	—	26	2	no	—
1686	C₂³	—	26	4	no	—
1687	C₂³	—	26	1	no	—
1688	C₂³	—	26	1	no	—
1689	C₂³	—	26	1	no	—
1690	C₂³	—	52	1	no	—
1691	C₂³	—	52	1	no	—
1692	C₂³	—	52	2	no	—
1693	C₂³	—	52	2	no	—
1694	C₂³	—	52	2	no	—
1695	C₂³	—	52	2	no	—
1696	C₂³	—	52	2	no	—
1697	C₂³	—	52	2	no	—
1698	C₂³	—	52	2	no	—
1699	C₂³	—	52	2	no	—
1700	C₂³	—	104	1	no	—
1701	C₂³	—	104	1	no	—
1702	C₂³	—	104	1	no	—
1703	C₂³	—	104	1	no	—
1704	C₂³	—	104	1	no	—
1705	C₂³	—	104	1	no	—
1706	C₂³	—	104	1	no	—
1707	C₂³	—	104	1	no	—
1708	C₂³	—	104	1	no	—
1709	C₂³	—	104	16	no	—
1710	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1711	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1712	Q₈	—	2	1	no	—
1713	Q₈	—	2	1	no	—
1714	Q₈	—	26	2	no	—
1715	Q₈	—	26	1	no	—
1716	Q₈	—	26	1	no	—
1717	Q₈	—	104	1	no	—
1718	Q₈	—	104	1	no	—
1719	D₄	—	2	1	no	—
1720	D₄	—	2	1	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	2	1	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	4	1	no	—
1725	D₄	—	4	2	no	—
1726	D₄	—	4	2	no	—
1727	D₄	—	4	2	no	—
1728	D₄	—	8	1	no	—
1729	D₄	—	8	1	no	—
1730	D₄	—	8	1	no	—
1731	D₄	—	13	2	no	—
1732	D₄	—	26	2	no	—
1733	D₄	—	26	4	no	—
1734	D₄	—	26	2	no	—
1735	D₄	—	26	2	no	—
1736	D₄	—	26	1	no	—
1737	D₄	—	26	1	no	—
1738	D₄	—	26	1	no	—
1739	D₄	—	26	1	no	—
1740	D₄	—	26	1	no	—
1741	D₄	—	52	1	no	—
1742	D₄	—	52	2	no	—
1743	D₄	—	52	2	no	—
1744	D₄	—	52	2	no	—
1745	D₄	—	52	1	no	—
1746	D₄	—	52	1	no	—
1747	D₄	—	52	2	no	—
1748	D₄	—	52	2	no	—
1749	D₄	—	52	2	no	—
1750	D₄	—	52	2	no	—
1751	D₄	—	52	2	no	—
1752	D₄	—	52	2	no	—
1753	D₄	—	52	2	no	—
1754	D₄	—	104	1	no	—
1755	D₄	—	104	1	no	—
1756	D₄	—	104	1	no	—
1757	D₄	—	104	1	no	—
1758	D₄	—	104	1	no	—
1759	D₄	—	104	1	no	—
1760	D₄	—	104	1	no	—
1761	D₄	—	104	1	no	—
1762	D₄	—	104	1	no	—
1763	D₄	#41×D₁₃	1	2	yes	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	8	1	no	—
1774	C₂×C₄	—	8	1	no	—
1775	C₂×C₄	—	13	1	no	—
1776	C₂×C₄	—	13	2	no	—
1777	C₂×C₄	—	13	2	no	—
1778	C₂×C₄	—	13	1	no	—
1779	C₂×C₄	—	13	1	no	—
1780	C₂×C₄	—	13	1	no	—
1781	C₂×C₄	—	13	1	no	—
1782	C₂×C₄	—	26	2	no	—
1783	C₂×C₄	—	26	2	no	—
1784	C₂×C₄	—	26	2	no	—
1785	C₂×C₄	—	26	1	no	—
1786	C₂×C₄	—	26	1	no	—
1787	C₂×C₄	—	26	1	no	—
1788	C₂×C₄	—	26	1	no	—
1789	C₂×C₄	—	26	1	no	—
1790	C₂×C₄	—	26	1	no	—
1791	C₂×C₄	—	26	1	no	—
1792	C₂×C₄	—	26	1	no	—
1793	C₂×C₄	—	26	1	no	—
1794	C₂×C₄	—	52	2	no	—
1795	C₂×C₄	—	52	2	no	—
1796	C₂×C₄	—	52	2	no	—
1797	C₂×C₄	—	52	2	no	—
1798	C₂×C₄	—	104	1	no	—
1799	C₂×C₄	—	104	1	no	—
1800	C₂×C₄	—	104	1	no	—
1801	C₂×C₄	—	104	1	no	—
1802	C₂×C₄	—	104	1	no	—
1803	C₂×C₄	—	104	1	no	—
1804	C₂×C₄	—	104	1	no	—
1805	C₂×C₄	—	104	1	no	—
1806	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1807	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1808	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1809	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1810	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1811	C₈	—	2	1	no	—
1812	C₈	—	2	1	no	—
1813	C₈	—	2	1	no	—
1814	C₈	—	2	1	no	—
1815	C₈	—	26	1	no	—
1816	C₈	—	26	1	no	—
1817	C₈	—	26	1	no	—
1818	C₈	—	26	1	no	—
1819	C₂²	—	2	1	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	2	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	4	1	no	—
1827	C₂²	—	4	1	no	—
1828	C₂²	—	4	1	no	—
1829	C₂²	—	4	1	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	8	4	no	—
1835	C₂²	—	13	2	no	—
1836	C₂²	—	16	2	no	—
1837	C₂²	—	26	1	no	—
1838	C₂²	—	26	1	no	—
1839	C₂²	—	26	1	no	—
1840	C₂²	—	26	1	no	—
1841	C₂²	—	26	2	no	—
1842	C₂²	—	26	1	no	—
1843	C₂²	—	26	1	no	—
1844	C₂²	—	26	1	no	—
1845	C₂²	—	26	1	no	—
1846	C₂²	—	52	4	no	—
1847	C₂²	—	52	1	no	—
1848	C₂²	—	52	1	no	—
1849	C₂²	—	52	1	no	—
1850	C₂²	—	52	1	no	—
1851	C₂²	—	52	1	no	—
1852	C₂²	—	52	1	no	—
1853	C₂²	—	52	1	no	—
1854	C₂²	—	52	1	no	—
1855	C₂²	—	104	4	no	—
1856	C₂²	—	104	4	no	—
1857	C₂²	—	104	4	no	—
1858	C₂²	—	104	4	no	—
1859	C₂²	—	104	4	no	—
1860	C₂²	—	208	2	no	—
1861	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1862	C₄	—	2	1	no	—
1863	C₄	—	2	1	no	—
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	4	1	no	—
1867	C₄	—	4	1	no	—
1868	C₄	—	4	1	no	—
1869	C₄	—	4	1	no	—
1870	C₄	—	4	1	no	—
1871	C₄	—	13	2	no	—
1872	C₄	—	26	1	no	—
1873	C₄	—	26	1	no	—
1874	C₄	—	26	1	no	—
1875	C₄	—	26	1	no	—
1876	C₄	—	52	1	no	—
1877	C₄	—	52	1	no	—
1878	C₄	—	52	1	no	—
1879	C₄	—	52	1	no	—
1880	C₄	—	52	1	no	—
1881	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1882	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1883	C₂	—	4	1	no	—
1884	C₂	—	4	1	no	—
1885	C₂	—	4	2	no	—
1886	C₂	—	8	1	no	—
1887	C₂	—	8	1	no	—
1888	C₂	—	26	2	no	—
1889	C₂	—	52	1	no	—
1890	C₂	—	52	1	no	—
1891	C₂	—	52	2	no	—
1892	C₂	—	104	1	no	—
1893	C₂	—	104	1	no	—
1894	C₂	D₁₃×#546	1	1	yes	characteristic
1895	C₂	#13129612	1	1	yes	characteristic
1896	C₂	#13129614	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×#3310	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3310	D₁₃
hypocenter	C₁₃	#61175
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3310

Complements

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

N	H ≅ G/N	type
1. #13128554	C₂	semidirect
2. #13128464	C₂	semidirect
3. #13127078	C₂	semidirect
4. #13127076	C₂	semidirect
5. #13127070	C₂	semidirect
6. #13127060	C₂	semidirect
7. #13127056	C₂	semidirect
8. #13127046	C₂	semidirect
9. #13127040	C₂	semidirect
10. #13127034	C₂	semidirect
11. #13126994	C₂	semidirect
12. #13126993	C₂	semidirect
13. #13126976	C₂	semidirect
14. #13126973	C₂	semidirect
15. #13126878	C₂	semidirect
16. #13126877	C₂	semidirect
17. #13126852	C₂	semidirect
18. #13125191	C₂	semidirect
19. #13124787	C₂	semidirect
20. #13124764	C₂	semidirect
21. #13124664	C₂	semidirect
22. #13124509	C₂	semidirect
23. #13124440	C₂	semidirect
24. #13124372	C₂	semidirect
25. #13124141	C₂	semidirect
26. #13124064	C₂	semidirect
27. #13123667	C₂	semidirect
28. #13123534	C₂	semidirect
29. #13123357	C₂	semidirect
30. D₁₃×#418	C₂	semidirect
31. C₁₃×#3310	C₂	semidirect
34. C₁₃×#552	C₂²	semidirect
40. C₂×#88170	C₂²	semidirect
42. C₂×#88168	C₂²	semidirect
43. C₂×M₁₆×D₁₃	C₂²	semidirect
44. C₂×#88155	C₂²	semidirect
49. #11719400	C₂²	semidirect
52. #11719394	C₂²	semidirect
55. #11719346	C₂²	semidirect
56. #11719344	C₂²	semidirect
57. #11719334	C₂²	semidirect
58. #11719332	C₂²	semidirect
69. #11719289	C₂²	semidirect
70. #11719279	C₂²	semidirect
71. #11719268	C₂²	semidirect
77. #11719237	C₂²	semidirect
79. D₁₃×#117	C₂²	semidirect
80. #11719219	C₂²	semidirect
81. #11719209	C₂²	semidirect
82. C₁₃×#490	C₂²	semidirect
83. C₁₃×#482	C₂²	semidirect
84. C₁₃×#480	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#460	C₂²	semidirect
89. C₁₃×#450	C₂²	semidirect
90. C₁₃×#450	C₂²	semidirect
91. C₁₃×#440	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#418	C₂²	semidirect
94. C₂×C₁₃×#102	C₂²	semidirect
95. #11718878	C₂²	semidirect
96. #11718878	C₂²	semidirect
97. #11718876	C₂²	semidirect
98. #11718876	C₂²	semidirect
99. #11718835	C₂²	semidirect
100. #11718835	C₂²	semidirect
101. #11718834	C₂²	semidirect
102. #11718830	C₂²	semidirect
103. #11718830	C₂²	semidirect
104. #11718830	C₂²	semidirect
105. #11718827	C₂²	semidirect
106. #11718824	C₂²	semidirect
107. SD₁₆×Dic₁₃	C₂²	semidirect
108. #11718795	C₂²	semidirect
109. #11718792	C₂²	semidirect
110. #11718788	C₂²	semidirect
111. #11718776	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718733	C₂²	semidirect
115. #11718731	C₂²	semidirect
116. #11718729	C₂²	semidirect
117. #11718727	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718710	C₂²	semidirect
120. #11718708	C₂²	semidirect
121. #11718707	C₂²	semidirect
122. #11718700	C₂²	semidirect
123. #11718700	C₂²	semidirect
124. #11718696	C₂²	semidirect
125. #11718696	C₂²	semidirect
126. #11718689	C₂²	semidirect
127. C₄×#6106	C₂²	semidirect
128. C₄×#6104	C₂²	semidirect
129. #11718673	C₂²	semidirect
130. #11718669	C₂²	semidirect
131. #11718662	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. #11718629	C₂²	semidirect
134. #11718627	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718549	C₂²	semidirect
137. #11718547	C₂²	semidirect
138. #11718546	C₂²	semidirect
139. #11718543	C₂²	semidirect
140. #11718542	C₂²	semidirect
141. #11718541	C₂²	semidirect
142. #11718533	C₂²	semidirect
143. #11718531	C₂²	semidirect
144. #11718528	C₂²	semidirect
145. #11718526	C₂²	semidirect
146. #11718522	C₂²	semidirect
147. #11718507	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718500	C₂²	semidirect
150. #11718499	C₂²	semidirect
151. #11718478	C₂²	semidirect
152. #11718477	C₂²	semidirect
153. #11718468	C₂²	semidirect
154. #11718465	C₂²	semidirect
155. #11718448	C₂²	semidirect
156. #11718447	C₂²	semidirect
157. #11718446	C₂²	semidirect
158. #11718445	C₂²	semidirect
159. #11718445	C₂²	semidirect
160. #11718443	C₂²	semidirect
161. #11718442	C₂²	semidirect
162. #11718440	C₂²	semidirect
163. #11718438	C₂²	semidirect
164. #11718436	C₂²	semidirect
165. #11718434	C₂²	semidirect
166. #11718434	C₂²	semidirect
167. #11718434	C₂²	semidirect
168. #11718433	C₂²	semidirect
169. #11718433	C₂²	semidirect
170. #11718432	C₂²	semidirect
171. #11718432	C₂²	semidirect
172. #11718432	C₂²	semidirect
174. #11718431	C₂²	semidirect
175. #11718431	C₂²	semidirect
176. #11718431	C₂²	semidirect
177. #11718431	C₂²	semidirect
178. #11718431	C₂²	semidirect
179. #11718431	C₂²	semidirect
182. D₁₃×#102	C₂²	semidirect
183. D₁₃×#102	C₂²	semidirect
184. D₁₃×#102	C₂²	semidirect
185. #11718429	C₂²	semidirect
186. #11718427	C₂²	semidirect
187. #11718426	C₂²	semidirect
188. #11718425	C₂²	semidirect
189. #11718421	C₂²	semidirect
190. #11718420	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718395	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718390	C₂²	semidirect
195. #11718390	C₂²	semidirect
196. #11718388	C₂²	semidirect
197. #11718387	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718375	C₂²	semidirect
200. #11718372	C₂²	semidirect
201. #11718369	C₂²	semidirect
202. #11718367	C₂²	semidirect
235. C₂×C₁₃×SD₁₆	C₂³	semidirect
237. C₂²×C₈×C₁₃	C₂³	semidirect
241. C₁₃×#125	C₂³	semidirect
244. C₁₃×C₂²⋊Q₈	C₂³	semidirect
250. C₄×Q₈×C₁₃	C₂³	semidirect
255. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
260. #88200	C₂³	semidirect
261. Q₈×Dic₁₃	C₂³	semidirect
262. C₂×#6107	C₂³	semidirect
294. C₂×#6104	C₂³	semidirect
299. #88184	C₂³	semidirect
309. #88180	C₂³	semidirect
312. C₂×#6099	C₂³	semidirect
319. C₂×#6095	C₂³	semidirect
325. C₂×#6094	C₂³	semidirect
328. C₂×C₈×D₁₃	C₂³	semidirect
343. #88149	C₂³	semidirect
354. #88147	C₂³	semidirect
361. #88146	C₂³	semidirect
365. C₄⋊C₄×D₁₃	C₂³	semidirect
366. #88144	C₂³	semidirect
370. #88142	C₂³	semidirect
411. C₄×D₅₂	C₂³	semidirect
417. #88123	C₂³	semidirect
419. C₁₃×#107	C₂³	semidirect
420. C₁₃×#107	C₂³	semidirect
421. C₁₃×#106	C₂³	semidirect
422. C₁₃×C₄⋊C₈	C₂³	semidirect
423. C₁₃×#103	C₂³	semidirect
430. C₁₃×#102	C₂³	semidirect
431. C₁₃×#102	C₂³	semidirect
432. C₁₃×#102	C₂³	semidirect
434. C₁₃×C₂²⋊C₈	C₂³	semidirect
435. C₁₃×#97	C₂³	semidirect
436. #88075	C₂³	semidirect
443. #88072	C₂³	semidirect
444. #88072	C₂³	semidirect
445. #88072	C₂³	semidirect
447. C₂²⋊#1055	C₂³	semidirect
454. #88061	C₂³	semidirect
457. #88060	C₂³	semidirect
458. #88060	C₂³	semidirect
459. #88058	C₂³	semidirect
460. #88058	C₂³	semidirect
461. #88057	C₂³	semidirect
462. #88056	C₂³	semidirect
463. #88056	C₂³	semidirect
464. #88056	C₂³	semidirect
465. #88055	C₂³	semidirect
466. #88054	C₂³	semidirect
467. #88054	C₂³	semidirect
468. C₈×Dic₁₃	C₂³	semidirect
469. #88050	C₂³	semidirect
470. #88050	C₂³	semidirect
471. #88050	C₂³	semidirect
478. #88049	C₂³	semidirect
479. #88048	C₂³	semidirect
480. #88048	C₂³	semidirect
481. #88048	C₂³	semidirect
482. #88048	C₂³	semidirect
483. #88047	C₂³	semidirect
484. #88047	C₂³	semidirect
485. C₄⋊#1055	C₂³	semidirect
486. C₄×#1055	C₂³	semidirect
742. #3310	D₁₃	semidirect
920. #552	C₂×D₁₃	semidirect
953. #490	C₂×D₁₃	semidirect
971. #482	C₂×D₁₃	semidirect
975. #480	C₂×D₁₃	semidirect
979. #478	C₂×D₁₃	semidirect
995. #468	C₂×D₁₃	semidirect
999. #465	C₂×D₁₃	semidirect
1005. #460	C₂×D₁₃	semidirect
1014. #450	C₂×D₁₃	semidirect
1015. #450	C₂×D₁₃	semidirect
1027. #440	C₂×D₁₃	semidirect
1039. #435	C₂×D₁₃	semidirect
1055. #418	C₂×D₁₃	semidirect
1069. C₂×#102	C₂×D₁₃	semidirect
1176. C₂×SD₁₆	C₂²×D₁₃	semidirect
1195. C₂²×C₈	C₂²×D₁₃	semidirect
1214. #125	C₂²×D₁₃	semidirect
1246. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1300. C₄×Q₈	C₂²×D₁₃	semidirect
1344. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1357. #107	C₂²×D₁₃	semidirect
1358. #107	C₂²×D₁₃	semidirect
1364. #106	C₂²×D₁₃	semidirect
1368. C₄⋊C₈	C₂²×D₁₃	semidirect
1376. #103	C₂²×D₁₃	semidirect
1406. #102	C₂²×D₁₃	semidirect
1407. #102	C₂²×D₁₃	semidirect
1408. #102	C₂²×D₁₃	semidirect
1416. C₂²⋊C₈	C₂²×D₁₃	semidirect
1418. #97	C₂²×D₁₃	semidirect
1672. C₁₃	#61175	semidirect

Maximal subgroups

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

subgroup	index
#13128554	2
#13128464	2
#13127078	2
#13127076	2
#13127070	2
#13127060	2
#13127056	2
#13127046	2
#13127040	2
#13127034	2
#13126994	2
#13126993	2
#13126976	2
#13126973	2
#13126878	2
#13126877	2
#13126852	2
#13125191	2
#13124787	2
#13124764	2
#13124664	2
#13124509	2
#13124440	2
#13124372	2
#13124141	2
#13124064	2
#13123667	2
#13123534	2
#13123357	2
D₁₃×#418	2
C₁₃×#3310	2
#61175	13