Subgroups — #16734329

Order 3328.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128221	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128163	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125952	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125950	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125944	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125942	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125937	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125935	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125929	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125927	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125918	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125916	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125907	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125905	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125896	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125894	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125885	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125883	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125279	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125260	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125179	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125156	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124293	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124291	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124285	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124056	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124056	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124050	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124050	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718501	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#532	C₂²	1	1	yes	characteristic
37	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
38	#11719537	C₂²	1	1	yes	characteristic
39	#11719537	C₂²	1	1	yes	characteristic
40	#11719537	C₂²	1	1	yes	characteristic, complemented
41	#11719533	C₂²	1	1	yes	characteristic
42	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
48	#11719429	C₂²	1	1	yes	characteristic
49	#11719429	C₂²	1	1	yes	characteristic
50	#11719420	C₂²	1	1	yes	characteristic
51	#11719420	C₂²	1	1	yes	characteristic
52	#11719380	C₂²	1	1	yes	characteristic
53	#11719380	C₂²	1	1	yes	characteristic
54	#11719379	C₂²	1	1	yes	characteristic
55	#11719379	C₂²	1	1	yes	characteristic
56	#11719310	—	2	1	no	—
57	#11719310	—	2	1	no	—
58	#11719302	—	2	1	no	—
59	#11719302	—	2	1	no	—
60	#11719288	C₂²	1	1	yes	characteristic, complemented
61	#11719288	C₂²	1	1	yes	characteristic, complemented
62	#11719287	C₂²	1	1	yes	characteristic, complemented
63	#11719287	C₂²	1	1	yes	characteristic, complemented
64	#11719269	—	2	1	no	—
65	#11719269	—	2	1	no	—
66	#11719267	C₂²	1	1	yes	characteristic, complemented
67	#11719267	C₂²	1	1	yes	characteristic, complemented
68	#11719266	C₂²	1	1	yes	characteristic, complemented
69	#11719266	C₂²	1	1	yes	characteristic, complemented
70	#11719265	—	2	1	no	—
71	#11719265	—	2	1	no	—
72	#11719252	—	2	1	no	—
73	#11719252	—	2	1	no	—
74	#11719252	—	2	1	no	—
75	#11719252	—	2	1	no	—
76	#11719233	—	2	1	no	—
77	#11719233	—	2	1	no	—
78	#11719229	C₂²	1	1	yes	characteristic
79	#11719222	C₂²	1	1	yes	characteristic, complemented
80	#11719184	—	2	1	no	—
81	#11719184	—	2	1	no	—
82	#11719182	C₂²	1	1	yes	characteristic
83	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
84	C₂×#88126	C₂²	1	1	yes	characteristic
85	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718852	C₂²	1	1	yes	characteristic, complemented
99	#11718851	C₂²	1	1	yes	characteristic, complemented
100	#11718851	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic
102	#11718848	C₂²	1	1	yes	characteristic
103	#11718847	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718842	C₂²	1	1	yes	characteristic, complemented
106	#11718837	C₂²	1	1	yes	characteristic, complemented
107	#11718837	C₂²	1	1	yes	characteristic, complemented
108	#11718836	C₂²	1	1	yes	characteristic, complemented
109	#11718836	C₂²	1	1	yes	characteristic, complemented
110	#11718834	C₂²	1	1	yes	characteristic
111	#11718834	C₂²	1	1	yes	characteristic
112	#11718833	C₂²	1	1	yes	characteristic
113	#11718833	C₂²	1	1	yes	characteristic
114	#11718831	C₂²	1	1	yes	characteristic, complemented
115	#11718831	C₂²	1	1	yes	characteristic, complemented
116	#11718830	C₂²	1	1	yes	characteristic, complemented
117	#11718830	C₂²	1	1	yes	characteristic, complemented
118	#11718829	C₂²	1	1	yes	characteristic, complemented
119	#11718829	C₂²	1	1	yes	characteristic, complemented
120	#11718828	C₂²	1	1	yes	characteristic, complemented
121	#11718828	C₂²	1	1	yes	characteristic, complemented
122	#11718819	C₂²	1	1	yes	characteristic
123	#11718819	C₂²	1	1	yes	characteristic
124	#11718817	C₂²	1	1	yes	characteristic, complemented
125	#11718817	C₂²	1	1	yes	characteristic, complemented
126	#11718816	C₂²	1	1	yes	characteristic, complemented
127	#11718815	C₂²	1	1	yes	characteristic, complemented
128	#11718815	C₂²	1	1	yes	characteristic, complemented
129	#11718812	C₂²	1	1	yes	characteristic, complemented
130	#11718774	C₂²	1	1	yes	characteristic, complemented
131	#11718774	C₂²	1	1	yes	characteristic, complemented
132	C₂×#88060	C₂²	1	1	yes	characteristic
133	C₂×#88060	C₂²	1	1	yes	characteristic
134	C₂×#88055	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
136	#11718751	C₂²	1	1	yes	characteristic, complemented
137	#11718744	C₂²	1	1	yes	characteristic, complemented
138	#11718736	C₂²	1	1	yes	characteristic, complemented
139	#11718733	C₂²	1	1	yes	characteristic, complemented
140	#11718718	C₂²	1	1	yes	characteristic, complemented
141	#11718718	C₂²	1	1	yes	characteristic, complemented
142	#11718715	C₂²	1	1	yes	characteristic, complemented
143	#11718715	C₂²	1	1	yes	characteristic, complemented
144	#11718692	C₂²	1	1	yes	characteristic, complemented
145	#11718689	C₂²	1	1	yes	characteristic, complemented
146	#11718689	C₂²	1	1	yes	characteristic, complemented
147	#11718688	C₂²	1	1	yes	characteristic, complemented
148	#11718680	C₂²	1	1	yes	characteristic, complemented
149	#11718677	C₂²	1	1	yes	characteristic, complemented
150	#11718677	C₂²	1	1	yes	characteristic, complemented
151	#11718676	C₂²	1	1	yes	characteristic, complemented
152	#11718663	C₂²	1	1	yes	characteristic, complemented
153	#11718663	C₂²	1	1	yes	characteristic, complemented
154	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic, complemented
155	#11718510	C₂²	1	1	yes	characteristic, complemented
156	#11718509	C₂²	1	1	yes	characteristic, complemented
157	#11718506	C₂²	1	1	yes	characteristic, complemented
158	#11718506	C₂²	1	1	yes	characteristic, complemented
159	#11718505	C₂²	1	1	yes	characteristic, complemented
160	#11718505	C₂²	1	1	yes	characteristic, complemented
161	#11718504	C₂²	1	1	yes	characteristic, complemented
162	#11718502	C₂²	1	1	yes	characteristic, complemented
163	#11718501	C₂²	1	1	yes	characteristic, complemented
164	#11718501	C₂²	1	1	yes	characteristic, complemented
165	#11718501	C₂²	1	1	yes	characteristic, complemented
166	#11718501	C₂²	1	1	yes	characteristic, complemented
167	#11718501	C₂²	1	1	yes	characteristic, complemented
168	#11718501	C₂²	1	1	yes	characteristic, complemented
169	#11718501	C₂²	1	1	yes	characteristic, complemented
170	#11718501	C₂²	1	1	yes	characteristic, complemented
171	#11718472	C₂²	1	1	yes	characteristic
172	#11718472	C₂²	1	1	yes	characteristic
173	#11718471	C₂²	1	1	yes	characteristic
174	#11718471	C₂²	1	1	yes	characteristic
175	#11718469	C₂²	1	1	yes	characteristic, complemented
176	#11718469	C₂²	1	1	yes	characteristic, complemented
177	#11718467	C₂²	1	1	yes	characteristic, complemented
178	#11718467	C₂²	1	1	yes	characteristic, complemented
179	#11718461	C₂²	1	1	yes	characteristic, complemented
180	#11718461	C₂²	1	1	yes	characteristic, complemented
181	#11718458	C₂²	1	1	yes	characteristic, complemented
182	#11718458	C₂²	1	1	yes	characteristic, complemented
183	#11718456	C₂²	1	1	yes	characteristic, complemented
184	#11718456	C₂²	1	1	yes	characteristic, complemented
185	#11718453	C₂²	1	1	yes	characteristic, complemented
186	#11718453	C₂²	1	1	yes	characteristic, complemented
187	#11718444	C₂²	1	1	yes	characteristic
188	#11718444	C₂²	1	1	yes	characteristic
189	#11718442	C₂²	1	1	yes	characteristic
190	#11718442	C₂²	1	1	yes	characteristic
191	#11718437	C₂²	1	1	yes	characteristic, complemented
192	#11718437	C₂²	1	1	yes	characteristic, complemented
193	#11718434	C₂²	1	1	yes	characteristic, complemented
194	#11718434	C₂²	1	1	yes	characteristic, complemented
195	#11718429	C₂²	1	1	yes	characteristic, complemented
196	#11718429	C₂²	1	1	yes	characteristic, complemented
197	#11718426	C₂²	1	1	yes	characteristic, complemented
198	#11718426	C₂²	1	1	yes	characteristic, complemented
199	#11718425	C₂²	1	1	yes	characteristic, complemented
200	#11718425	C₂²	1	1	yes	characteristic, complemented
201	#11718421	C₂²	1	1	yes	characteristic, complemented
202	#11718421	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	#41×D₁₃	—	4	2	no	—
207	#41×D₁₃	—	4	2	no	—
208	#41×D₁₃	—	4	2	no	—
209	#41×D₁₃	—	4	2	no	—
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	C₂³	1	1	yes	characteristic
217	C₂×#6129	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×#6127	—	2	1	no	—
223	C₂×#6127	—	2	1	no	—
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₁₃×#135	—	4	2	no	—
231	C₁₃×#135	—	4	2	no	—
232	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
240	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×#127	C₂³	1	1	yes	characteristic
244	C₁₃×#124	C₂³	1	1	yes	characteristic
245	C₁₃×#124	C₂³	1	1	yes	characteristic
246	C₁₃×#121	—	2	1	no	—
247	C₁₃×#121	—	2	1	no	—
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	C₂³	1	1	yes	characteristic
258	C₂×C₄²×C₁₃	—	2	1	no	—
259	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
260	#88204	—	4	2	no	—
261	#88204	—	4	2	no	—
262	#88204	—	4	2	no	—
263	#88204	—	4	2	no	—
264	#88201	C₂³	1	1	yes	characteristic
265	#88201	C₂³	1	1	yes	characteristic
266	#88201	C₂³	1	1	yes	characteristic
267	#88200	C₂³	1	1	yes	characteristic
268	#88200	C₂³	1	1	yes	characteristic
269	#88198	C₂³	1	1	yes	characteristic
270	#88198	C₂³	1	1	yes	characteristic
271	#88198	C₂³	1	1	yes	characteristic
272	C₂×#6107	C₂³	1	1	yes	characteristic
273	C₂×#6107	C₂³	1	1	yes	characteristic
274	C₂×#6107	C₂³	1	1	yes	characteristic
275	C₂×#6107	C₂³	1	1	yes	characteristic
276	C₂×#6106	C₂³	1	1	yes	characteristic
277	C₂×#6106	C₂³	1	1	yes	characteristic
278	C₂×#6106	C₂³	1	1	yes	characteristic
279	C₂×#6106	C₂³	1	1	yes	characteristic
280	#88194	C₂³	1	1	yes	characteristic
281	#88194	C₂³	1	1	yes	characteristic
282	#88194	C₂³	1	1	yes	characteristic
283	#88193	—	2	1	no	—
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88192	C₂³	1	1	yes	characteristic
294	#88192	C₂³	1	1	yes	characteristic
295	#88191	—	2	1	no	—
296	#88191	—	2	1	no	—
297	#88191	—	2	1	no	—
298	#88191	—	2	1	no	—
299	#88191	—	2	1	no	—
300	#88190	C₂³	1	1	yes	characteristic
301	#88190	C₂³	1	1	yes	characteristic
302	#88190	C₂³	1	1	yes	characteristic
303	#88189	—	2	1	no	—
304	C₂×#6105	C₂³	1	1	yes	characteristic
305	C₂×#6105	C₂³	1	1	yes	characteristic
306	C₂×#6105	C₂³	1	1	yes	characteristic
307	C₂×#6105	C₂³	1	1	yes	characteristic
308	C₂×#6104	C₂³	1	1	yes	characteristic
309	C₂×#6104	C₂³	1	1	yes	characteristic
310	C₂×#6104	C₂³	1	1	yes	characteristic
311	C₂×#6104	C₂³	1	1	yes	characteristic
312	#88184	—	2	1	no	—
313	#88184	—	2	1	no	—
314	#88184	—	2	1	no	—
315	#88184	—	2	1	no	—
316	#88183	—	2	1	no	—
317	#88183	—	2	1	no	—
318	#88183	—	2	1	no	—
319	#88183	—	2	1	no	—
320	C₄×C₂²⋊D₁₃	—	2	1	no	—
321	C₄×C₂²⋊D₁₃	—	2	1	no	—
322	C₄×C₂²⋊D₁₃	—	2	1	no	—
323	C₄×C₂²⋊D₁₃	—	2	1	no	—
324	C₄×C₂²⋊D₁₃	—	2	1	no	—
325	C₄×C₂²⋊D₁₃	—	2	1	no	—
326	C₄×C₂²⋊D₁₃	—	2	1	no	—
327	C₄×C₂²⋊D₁₃	—	2	1	no	—
328	C₄×C₂²⋊D₁₃	—	2	1	no	—
329	C₄×C₂²⋊D₁₃	—	2	1	no	—
330	C₂×#6103	D₄	1	1	yes	characteristic
331	C₂×#6103	D₄	1	1	yes	characteristic
332	#88180	C₂³	1	1	yes	characteristic
333	#88178	—	2	1	no	—
334	#88178	—	2	1	no	—
335	C₂×#6101	D₄	1	1	yes	characteristic
336	C₂×#6101	D₄	1	1	yes	characteristic
337	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
338	C₂²×#1055	C₂³	1	1	yes	characteristic
339	C₂²×#1055	C₂³	1	1	yes	characteristic
340	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
341	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
342	#88158	—	4	2	no	—
343	#88158	—	4	2	no	—
344	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
345	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
346	C₂×#6095	C₂³	1	1	yes	characteristic
347	C₂×#6095	C₂³	1	1	yes	characteristic
348	C₂×#6095	C₂³	1	1	yes	characteristic
349	C₂×#6095	C₂³	1	1	yes	characteristic
350	#88152	—	2	1	no	—
351	#88152	—	2	1	no	—
352	#88151	C₂³	1	1	yes	characteristic
353	#88151	C₂³	1	1	yes	characteristic
354	#88150	—	2	1	no	—
355	#88150	—	2	1	no	—
356	#88150	—	2	1	no	—
357	#88150	—	2	1	no	—
358	#88150	—	2	1	no	—
359	#88150	—	2	1	no	—
360	#88149	C₂³	1	1	yes	characteristic
361	#88149	C₂³	1	1	yes	characteristic
362	#88148	—	2	1	no	—
363	#88148	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88148	—	2	1	no	—
366	#88148	—	2	1	no	—
367	#88148	—	2	1	no	—
368	#88144	C₂³	1	1	yes	characteristic
369	#88144	C₂³	1	1	yes	characteristic
370	#88143	—	2	1	no	—
371	#88143	—	2	1	no	—
372	#88142	C₂³	1	1	yes	characteristic
373	#88142	C₂³	1	1	yes	characteristic
374	#88140	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88139	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88138	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88138	—	2	1	no	—
383	#88137	—	2	1	no	—
384	#88137	—	2	1	no	—
385	#88137	—	2	1	no	—
386	#88137	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88137	—	2	1	no	—
389	#88136	—	2	1	no	—
390	#88136	—	2	1	no	—
391	#88136	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88136	—	2	1	no	—
394	#88133	—	2	1	no	—
395	#88133	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	—	2	1	no	—
399	#88132	—	2	1	no	—
400	#88132	—	2	1	no	—
401	#88132	—	2	1	no	—
402	#88130	—	2	1	no	—
403	#88130	—	2	1	no	—
404	#88130	—	2	1	no	—
405	#88130	—	2	1	no	—
406	#88129	—	2	1	no	—
407	#88129	—	2	1	no	—
408	#88129	C₂³	1	1	yes	characteristic
409	#88129	C₂³	1	1	yes	characteristic
410	#88128	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	—	2	1	no	—
412	C₄×D₅₂	—	2	1	no	—
413	C₄×D₅₂	—	2	1	no	—
414	C₄×D₅₂	—	2	1	no	—
415	C₄×D₅₂	C₂³	1	1	yes	characteristic
416	C₄×D₅₂	C₂³	1	1	yes	characteristic
417	#88126	—	2	1	no	—
418	#88126	D₄	1	1	yes	characteristic
419	#88126	D₄	1	1	yes	characteristic
420	#88126	D₄	1	1	yes	characteristic
421	#88126	D₄	1	1	yes	characteristic
422	#88126	C₂³	1	1	yes	characteristic
423	#88126	C₂³	1	1	yes	characteristic
424	#88126	C₂³	1	1	yes	characteristic
425	#88126	C₂³	1	1	yes	characteristic
426	C₄²×D₁₃	—	2	1	no	—
427	#88124	—	2	1	no	—
428	#88124	—	2	1	no	—
429	#88123	C₂³	1	1	yes	characteristic
430	C₄×Dic₂₆	—	2	1	no	—
431	C₄×Dic₂₆	—	2	1	no	—
432	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
433	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
434	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×#102	C₂³	1	1	yes	characteristic
445	C₁₃×#102	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88056	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88056	C₂³	1	1	yes	characteristic
470	#88055	C₂³	1	1	yes	characteristic
471	#88055	C₂³	1	1	yes	characteristic
472	#88055	C₂³	1	1	yes	characteristic
473	#88055	C₂³	1	1	yes	characteristic
474	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
475	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
476	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
477	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88050	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88050	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic
485	#88049	C₂³	1	1	yes	characteristic
486	C₄⋊#1055	C₂³	1	1	yes	characteristic
487	C₄⋊#1055	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	C₄⋊#1055	C₂³	1	1	yes	characteristic
490	#60797	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
494	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	2	2	no	—
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	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	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
539	#6131	—	4	1	no	—
540	#6131	—	4	1	no	—
541	#6131	—	4	1	no	—
542	#6131	—	4	1	no	—
543	Q₈×D₁₃	—	4	1	no	—
544	Q₈×D₁₃	—	4	1	no	—
545	Q₈×D₁₃	—	4	1	no	—
546	Q₈×D₁₃	—	4	1	no	—
547	#6129	—	4	1	no	—
548	#6129	—	4	1	no	—
549	#6129	—	4	1	no	—
550	#6129	—	4	1	no	—
551	#6129	—	4	4	no	—
552	#6129	—	4	4	no	—
553	D₄×D₁₃	—	4	1	no	—
554	D₄×D₁₃	—	4	1	no	—
555	D₄×D₁₃	—	4	1	no	—
556	D₄×D₁₃	—	4	1	no	—
557	D₄×D₁₃	—	4	4	no	—
558	D₄×D₁₃	—	4	4	no	—
559	#6127	—	2	2	no	—
560	#6127	—	2	2	no	—
561	#6127	—	2	2	no	—
562	#6127	—	2	2	no	—
563	#6127	—	2	2	no	—
564	#6127	—	2	2	no	—
565	#6127	—	4	4	no	—
566	#6127	—	4	4	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	—	2	1	no	—
569	C₂×D₅₂	—	2	1	no	—
570	C₂×D₅₂	—	2	1	no	—
571	C₂×D₅₂	—	2	1	no	—
572	C₂×D₅₂	—	2	1	no	—
573	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
574	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
575	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₁₃	—	2	2	no	—
577	C₂×C₄×D₁₃	—	2	2	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	2	1	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	2	1	no	—
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	4	4	no	—
588	C₂×C₄×D₁₃	—	4	4	no	—
589	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₂₆	—	2	1	no	—
594	C₂×Dic₂₆	—	2	1	no	—
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	1	no	—
597	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
600	C₁₃×Q₁₆	—	4	1	no	—
601	C₁₃×Q₁₆	—	4	1	no	—
602	C₁₃×SD₁₆	—	4	1	no	—
603	C₁₃×SD₁₆	—	4	1	no	—
604	C₁₃×SD₁₆	—	4	1	no	—
605	C₁₃×SD₁₆	—	4	1	no	—
606	C₁₃×D₈	—	4	1	no	—
607	C₁₃×D₈	—	4	1	no	—
608	C₂×C₈×C₁₃	—	2	2	no	—
609	C₂×C₈×C₁₃	—	2	2	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	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₄²×C₁₃	—	2	1	no	—
628	C₄²×C₁₃	—	2	1	no	—
629	C₄²×C₁₃	—	2	1	no	—
630	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
631	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
632	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
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	#6107	—	4	1	no	—
644	#6107	—	4	1	no	—
645	#6107	—	4	1	no	—
646	#6107	—	4	1	no	—
647	#6106	—	4	1	no	—
648	#6106	—	4	1	no	—
649	#6106	—	4	1	no	—
650	#6106	—	4	1	no	—
651	#6105	—	4	1	no	—
652	#6105	—	4	1	no	—
653	#6105	—	4	1	no	—
654	#6105	—	4	1	no	—
655	#6104	—	4	1	no	—
656	#6104	—	4	1	no	—
657	#6104	—	4	1	no	—
658	#6104	—	4	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	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	C₂×D₄	1	1	yes	characteristic
678	#6103	C₂×D₄	1	1	yes	characteristic
679	#6103	C₂×D₄	1	1	yes	characteristic
680	#6103	C₂×D₄	1	1	yes	characteristic
681	#6103	C₂×D₄	1	1	yes	characteristic
682	#6103	C₂×D₄	1	1	yes	characteristic
683	#6103	C₂×D₄	1	1	yes	characteristic
684	#6103	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
690	C₄⋊Dic₁₃	—	2	1	no	—
691	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	C₂×D₄	1	1	yes	characteristic
708	#6101	C₂×D₄	1	1	yes	characteristic
709	#6101	C₂×D₄	1	1	yes	characteristic
710	#6101	C₂×D₄	1	1	yes	characteristic
711	#6101	C₂×D₄	1	1	yes	characteristic
712	#6101	C₂×D₄	1	1	yes	characteristic
713	#6101	C₂×D₄	1	1	yes	characteristic
714	#6101	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
721	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
722	C₂×#1055	—	2	2	no	—
723	C₂×#1055	—	2	2	no	—
724	C₂×#1055	C₂⁴	1	1	yes	characteristic
725	C₂×#1055	C₂⁴	1	1	yes	characteristic
726	C₂×#1055	C₂⁴	1	1	yes	characteristic
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	Dic₅₂	—	4	1	no	—
729	Dic₅₂	—	4	1	no	—
730	D₁₀₄	—	4	1	no	—
731	D₁₀₄	—	4	1	no	—
732	#6095	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6095	—	4	1	no	—
735	#6095	—	4	1	no	—
736	#3455	—	13	1	no	—
737	#3449	—	13	1	no	—
738	#3225	—	13	1	no	—
739	#3225	—	13	1	no	—
740	#3225	—	13	1	no	—
741	#3225	—	13	1	no	—
742	#3224	—	13	1	no	—
743	#3224	—	13	1	no	—
744	#3224	—	13	1	no	—
745	#3224	—	13	1	no	—
746	#3223	—	13	1	no	—
747	#3223	—	13	1	no	—
748	#3222	—	13	1	no	—
749	#3222	—	13	1	no	—
750	#3221	—	13	1	no	—
751	#3221	—	13	1	no	—
752	#3220	—	13	1	no	—
753	#3220	—	13	1	no	—
754	#3150	—	13	1	no	—
755	#3147	—	13	1	no	—
756	#3135	—	13	1	no	—
757	#3131	—	13	1	no	—
758	#3035	—	13	1	no	—
759	#3035	—	13	1	no	—
760	#3035	—	13	1	no	—
761	#3035	D₁₃	1	1	yes	characteristic, complemented
762	#3002	—	13	1	no	—
763	#3002	—	13	1	no	—
764	#3002	—	13	1	no	—
765	#3002	—	13	1	no	—
766	C₂×#433	—	13	1	no	—
767	C₂³×C₁₃	—	2	1	no	—
768	C₂³×C₁₃	—	2	1	no	—
769	C₂³×C₁₃	—	2	1	no	—
770	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂²×D₁₃	—	2	2	no	—
772	C₂²×D₁₃	—	2	1	no	—
773	C₂²×D₁₃	—	2	1	no	—
774	C₂²×D₁₃	—	2	1	no	—
775	C₂²×D₁₃	—	4	1	no	—
776	C₂²×D₁₃	—	4	1	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	4	2	no	—
779	C₂²×D₁₃	—	8	1	no	—
780	C₂²×D₁₃	—	8	1	no	—
781	C₂²×D₁₃	—	8	1	no	—
782	C₂²×D₁₃	—	8	1	no	—
783	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	Q₈×C₁₃	—	2	1	no	—
788	Q₈×C₁₃	—	2	1	no	—
789	Q₈×C₁₃	—	2	1	no	—
790	Q₈×C₁₃	—	2	1	no	—
791	D₄×C₁₃	—	2	1	no	—
792	D₄×C₁₃	—	2	1	no	—
793	D₄×C₁₃	—	2	1	no	—
794	D₄×C₁₃	—	2	1	no	—
795	D₄×C₁₃	—	2	1	no	—
796	D₄×C₁₃	—	2	1	no	—
797	D₄×C₁₃	—	4	2	no	—
798	D₄×C₁₃	—	4	2	no	—
799	D₄×C₁₃	—	4	2	no	—
800	D₄×C₁₃	—	8	1	no	—
801	D₄×C₁₃	—	8	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	4	1	no	—
808	C₂×C₄×C₁₃	—	4	1	no	—
809	C₂×C₄×C₁₃	—	4	2	no	—
810	C₂×C₄×C₁₃	—	4	2	no	—
811	C₂×C₄×C₁₃	—	4	2	no	—
812	C₂×C₄×C₁₃	—	8	1	no	—
813	C₂×C₄×C₁₃	—	8	1	no	—
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
820	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
821	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
822	C₂²⋊D₁₃	—	4	2	no	—
823	C₂²⋊D₁₃	—	4	2	no	—
824	C₂²⋊D₁₃	—	4	2	no	—
825	C₂²⋊D₁₃	—	4	2	no	—
826	C₂²⋊D₁₃	—	4	2	no	—
827	C₂²⋊D₁₃	—	4	2	no	—
828	C₂²⋊D₁₃	—	4	2	no	—
829	C₂²⋊D₁₃	—	8	1	no	—
830	C₂²⋊D₁₃	—	8	1	no	—
831	C₂²⋊D₁₃	—	8	1	no	—
832	C₂²⋊D₁₃	—	8	1	no	—
833	C₂²⋊D₁₃	—	8	1	no	—
834	C₂²⋊D₁₃	—	8	1	no	—
835	C₂²⋊D₁₃	—	8	1	no	—
836	C₂²⋊D₁₃	—	8	1	no	—
837	C₂×Dic₁₃	—	2	2	no	—
838	C₂×Dic₁₃	—	2	1	no	—
839	C₂×Dic₁₃	—	2	1	no	—
840	C₂×Dic₁₃	—	2	1	no	—
841	C₂×Dic₁₃	—	2	1	no	—
842	C₂×Dic₁₃	—	2	1	no	—
843	C₂×Dic₁₃	—	4	1	no	—
844	C₂×Dic₁₃	—	4	1	no	—
845	C₂×Dic₁₃	—	4	2	no	—
846	C₂×Dic₁₃	—	4	2	no	—
847	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
849	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
851	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
852	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
853	D₅₂	—	2	1	no	—
854	D₅₂	—	2	1	no	—
855	D₅₂	—	2	1	no	—
856	D₅₂	—	2	1	no	—
857	D₅₂	—	2	1	no	—
858	D₅₂	—	2	1	no	—
859	D₅₂	—	4	2	no	—
860	D₅₂	—	4	2	no	—
861	D₅₂	—	8	1	no	—
862	D₅₂	—	8	1	no	—
863	D₅₂	—	8	1	no	—
864	D₅₂	—	8	1	no	—
865	C₄×D₁₃	—	2	2	no	—
866	C₄×D₁₃	—	2	2	no	—
867	C₄×D₁₃	—	2	1	no	—
868	C₄×D₁₃	—	2	1	no	—
869	C₄×D₁₃	—	2	1	no	—
870	C₄×D₁₃	—	2	1	no	—
871	C₄×D₁₃	—	4	2	no	—
872	C₄×D₁₃	—	4	2	no	—
873	C₄×D₁₃	—	4	2	no	—
874	C₄×D₁₃	—	4	2	no	—
875	C₄×D₁₃	—	4	2	no	—
876	C₄×D₁₃	—	4	2	no	—
877	C₄×D₁₃	—	4	2	no	—
878	C₄×D₁₃	—	8	1	no	—
879	C₄×D₁₃	—	8	1	no	—
880	Dic₂₆	—	2	1	no	—
881	Dic₂₆	—	2	1	no	—
882	Dic₂₆	—	2	1	no	—
883	Dic₂₆	—	2	1	no	—
884	Dic₂₆	—	2	1	no	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	4	2	no	—
887	Dic₂₆	—	4	2	no	—
888	Dic₂₆	—	8	1	no	—
889	Dic₂₆	—	8	1	no	—
890	C₈×C₁₃	—	2	1	no	—
891	C₈×C₁₃	—	2	1	no	—
892	C₈×C₁₃	—	2	1	no	—
893	C₈×C₁₃	—	2	1	no	—
894	#1055	—	2	1	no	—
895	#1055	—	2	1	no	—
896	#1055	—	2	1	no	—
897	#1055	—	2	1	no	—
898	C₂²×#41	—	13	1	no	—
899	C₂²×#41	—	13	1	no	—
900	C₂×#135	—	13	1	no	—
901	C₂×#135	—	13	1	no	—
902	C₂×#135	—	13	1	no	—
903	C₂×#135	—	13	1	no	—
904	C₂×#135	—	13	1	no	—
905	C₂×#135	—	13	1	no	—
906	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
907	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
908	#542	—	13	1	no	—
909	#542	—	13	1	no	—
910	#542	—	13	1	no	—
911	#542	—	13	1	no	—
912	#541	—	13	1	no	—
913	#541	—	13	1	no	—
914	#540	—	13	1	no	—
915	#540	—	13	1	no	—
916	#539	—	26	1	no	—
917	#539	—	26	1	no	—
918	#538	—	26	1	no	—
919	#538	—	26	1	no	—
920	#537	—	26	1	no	—
921	#537	—	26	1	no	—
922	#536	—	13	1	no	—
923	#536	—	13	1	no	—
924	#536	—	13	1	no	—
925	#536	—	13	1	no	—
926	#535	—	13	1	no	—
927	#535	—	13	1	no	—
928	#535	—	13	1	no	—
929	#535	—	13	1	no	—
930	#534	—	26	1	no	—
931	#534	—	26	1	no	—
932	#533	—	13	1	no	—
933	#532	—	13	1	no	—
934	#532	—	13	1	no	—
935	#532	—	13	1	no	—
936	#532	—	13	1	no	—
937	#532	C₂×D₁₃	1	1	yes	characteristic
938	#529	—	26	1	no	—
939	#529	—	26	1	no	—
940	#529	—	26	1	no	—
941	#529	—	26	1	no	—
942	#525	—	13	1	no	—
943	#525	—	13	1	no	—
944	#525	—	26	1	no	—
945	#525	—	26	1	no	—
946	#525	—	26	1	no	—
947	#525	—	26	1	no	—
948	C₄×#41	—	13	1	no	—
949	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
950	C₂×#117	—	13	1	no	—
951	#497	—	13	1	no	—
952	#497	—	13	1	no	—
953	#497	—	13	1	no	—
954	#497	—	13	1	no	—
955	#496	—	13	1	no	—
956	#496	—	13	1	no	—
957	#496	—	13	1	no	—
958	#496	—	13	1	no	—
959	#495	—	13	1	no	—
960	#495	—	13	1	no	—
961	#495	—	13	1	no	—
962	#495	—	13	1	no	—
963	#494	—	13	1	no	—
964	#493	—	13	1	no	—
965	#492	—	13	1	no	—
966	#492	—	13	1	no	—
967	#491	—	13	1	no	—
968	#491	—	13	1	no	—
969	#490	—	13	1	no	—
970	#490	—	13	1	no	—
971	#489	—	13	1	no	—
972	#489	—	13	1	no	—
973	#489	—	13	1	no	—
974	#489	—	13	1	no	—
975	#488	—	13	1	no	—
976	#488	—	13	1	no	—
977	#488	—	13	1	no	—
978	#488	—	13	1	no	—
979	#487	—	13	1	no	—
980	#487	—	13	1	no	—
981	#486	—	13	1	no	—
982	#486	—	13	1	no	—
983	#464	—	13	1	no	—
984	#464	—	13	1	no	—
985	#464	—	13	1	no	—
986	#464	—	13	1	no	—
987	#464	—	13	1	no	—
988	#464	—	13	1	no	—
989	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
991	#463	—	13	1	no	—
992	#463	—	13	1	no	—
993	#463	—	13	1	no	—
994	#463	—	13	1	no	—
995	#463	—	13	1	no	—
996	#463	—	13	1	no	—
997	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
999	#462	—	13	1	no	—
1000	#462	—	13	1	no	—
1001	#462	—	13	1	no	—
1002	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
1003	#461	—	13	1	no	—
1004	#461	—	13	1	no	—
1005	#461	—	13	1	no	—
1006	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
1007	#460	—	13	1	no	—
1008	#460	—	13	1	no	—
1009	#460	—	13	1	no	—
1010	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1011	#459	—	13	1	no	—
1012	#459	—	13	1	no	—
1013	#459	—	13	1	no	—
1014	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#452	—	13	1	no	—
1016	#452	—	13	1	no	—
1017	#452	—	13	1	no	—
1018	#452	—	13	1	no	—
1019	#452	—	13	1	no	—
1020	#452	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#451	—	13	1	no	—
1024	#451	—	13	1	no	—
1025	#451	—	13	1	no	—
1026	#451	—	13	1	no	—
1027	#450	—	13	1	no	—
1028	#450	—	13	1	no	—
1029	#450	—	13	1	no	—
1030	#450	—	13	1	no	—
1031	#449	—	13	1	no	—
1032	#449	—	13	1	no	—
1033	#449	—	13	1	no	—
1034	#449	—	13	1	no	—
1035	#449	—	13	1	no	—
1036	#449	—	13	1	no	—
1037	#449	—	13	1	no	—
1038	#449	—	13	1	no	—
1039	#448	—	13	1	no	—
1040	#448	—	13	1	no	—
1041	#448	—	13	1	no	—
1042	#448	—	13	1	no	—
1043	#447	—	13	1	no	—
1044	#447	—	13	1	no	—
1045	#447	—	13	1	no	—
1046	#447	—	13	1	no	—
1047	#433	—	13	1	no	—
1048	#433	—	13	1	no	—
1049	#433	—	13	1	no	—
1050	#433	—	13	1	no	—
1051	#433	—	13	1	no	—
1052	#433	—	13	1	no	—
1053	#433	—	13	1	no	—
1054	#433	—	13	1	no	—
1055	C₂×C₄⋊C₈	—	13	1	no	—
1056	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1057	#416	—	13	1	no	—
1058	#416	—	13	1	no	—
1059	#416	—	13	1	no	—
1060	#416	—	13	1	no	—
1061	#416	—	13	1	no	—
1062	#416	—	13	1	no	—
1063	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1064	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1065	C₂×C₂²⋊C₈	—	13	1	no	—
1066	C₂×C₂²⋊C₈	—	13	1	no	—
1067	C₂×#97	—	13	1	no	—
1068	C₂×C₄×C₈	—	13	1	no	—
1069	C₂²×C₁₃	—	2	1	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	4	1	no	—
1073	C₂²×C₁₃	—	4	1	no	—
1074	C₂²×C₁₃	—	4	1	no	—
1075	C₂²×C₁₃	—	4	1	no	—
1076	C₂²×C₁₃	—	4	1	no	—
1077	C₂²×C₁₃	—	4	1	no	—
1078	C₂²×C₁₃	—	4	1	no	—
1079	C₂²×C₁₃	—	4	1	no	—
1080	C₂²×C₁₃	#535	1	2	yes	—
1081	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1082	C₂×D₁₃	—	2	1	no	—
1083	C₂×D₁₃	—	2	1	no	—
1084	C₂×D₁₃	—	2	1	no	—
1085	C₂×D₁₃	—	2	1	no	—
1086	C₂×D₁₃	—	2	1	no	—
1087	C₂×D₁₃	—	2	1	no	—
1088	C₂×D₁₃	—	4	1	no	—
1089	C₂×D₁₃	—	4	1	no	—
1090	C₂×D₁₃	—	4	1	no	—
1091	C₂×D₁₃	—	4	1	no	—
1092	C₂×D₁₃	—	4	1	no	—
1093	C₂×D₁₃	—	4	1	no	—
1094	C₂×D₁₃	—	4	1	no	—
1095	C₂×D₁₃	—	4	1	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	8	2	no	—
1098	C₂×D₁₃	—	8	4	no	—
1099	C₂×D₁₃	—	8	4	no	—
1100	C₄×C₁₃	—	2	1	no	—
1101	C₄×C₁₃	—	2	1	no	—
1102	C₄×C₁₃	—	2	1	no	—
1103	C₄×C₁₃	—	2	1	no	—
1104	C₄×C₁₃	—	4	1	no	—
1105	C₄×C₁₃	—	4	1	no	—
1106	C₄×C₁₃	—	4	1	no	—
1107	C₄×C₁₃	—	4	1	no	—
1108	C₄×C₁₃	—	4	1	no	—
1109	C₄×C₁₃	#535	1	2	yes	—
1110	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1111	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1112	Dic₁₃	—	2	1	no	—
1113	Dic₁₃	—	2	1	no	—
1114	Dic₁₃	—	2	1	no	—
1115	Dic₁₃	—	2	1	no	—
1116	Dic₁₃	—	2	1	no	—
1117	Dic₁₃	—	2	1	no	—
1118	Dic₁₃	—	4	1	no	—
1119	Dic₁₃	—	4	1	no	—
1120	Dic₁₃	—	4	1	no	—
1121	Dic₁₃	—	4	1	no	—
1122	Dic₁₃	—	4	1	no	—
1123	C₂×#41	—	13	1	no	—
1124	C₂×#41	—	13	1	no	—
1125	C₂×#41	—	13	1	no	—
1126	C₂×#41	—	13	1	no	—
1127	C₂×#41	—	13	1	no	—
1128	C₂×#41	—	13	1	no	—
1129	C₂×#41	—	13	1	no	—
1130	C₂×#41	—	26	1	no	—
1131	C₂×#41	—	26	1	no	—
1132	C₂×#41	—	26	1	no	—
1133	C₂×#41	—	26	1	no	—
1134	C₂×#41	—	52	2	no	—
1135	C₂×#41	—	52	2	no	—
1136	C₂×#41	—	52	2	no	—
1137	C₂×#41	—	52	2	no	—
1138	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1139	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1140	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1141	C₂²×Q₈	—	13	1	no	—
1142	C₂²×Q₈	—	13	1	no	—
1143	C₂²×D₄	—	13	1	no	—
1144	C₂²×D₄	—	13	1	no	—
1145	C₂²×D₄	—	26	1	no	—
1146	C₂²×D₄	—	26	1	no	—
1147	C₂³×C₄	—	13	1	no	—
1148	C₂³×C₄	—	26	1	no	—
1149	C₂³×C₄	—	26	1	no	—
1150	#135	—	4	2	no	—
1151	#135	—	4	2	no	—
1152	#135	—	52	2	no	—
1153	#135	—	52	2	no	—
1154	#135	—	52	2	no	—
1155	#135	—	52	2	no	—
1156	#135	—	52	2	no	—
1157	#135	—	52	2	no	—
1158	C₂×Q₁₆	—	13	1	no	—
1159	C₂×Q₁₆	—	13	1	no	—
1160	C₂×Q₁₆	—	13	1	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	—	13	1	no	—
1163	C₂×Q₁₆	—	13	1	no	—
1164	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂×SD₁₆	—	13	1	no	—
1167	C₂×SD₁₆	—	13	1	no	—
1168	C₂×SD₁₆	—	13	1	no	—
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	—	13	1	no	—
1171	C₂×SD₁₆	—	13	1	no	—
1172	C₂×SD₁₆	—	13	1	no	—
1173	C₂×SD₁₆	—	13	1	no	—
1174	C₂×SD₁₆	—	13	1	no	—
1175	C₂×SD₁₆	—	13	1	no	—
1176	C₂×SD₁₆	—	13	1	no	—
1177	C₂×SD₁₆	—	13	1	no	—
1178	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1180	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1181	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1182	C₂×D₈	—	13	1	no	—
1183	C₂×D₈	—	13	1	no	—
1184	C₂×D₈	—	13	1	no	—
1185	C₂×D₈	—	13	1	no	—
1186	C₂×D₈	—	13	1	no	—
1187	C₂×D₈	—	13	1	no	—
1188	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1189	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1190	C₂²×C₈	—	13	1	no	—
1191	C₂²×C₈	—	13	1	no	—
1192	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1193	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1194	C₄⋊Q₈	—	13	1	no	—
1195	C₄⋊Q₈	—	13	1	no	—
1196	C₄⋊Q₈	—	13	1	no	—
1197	C₄⋊Q₈	—	13	1	no	—
1198	C₄⋊Q₈	—	13	1	no	—
1199	C₄⋊Q₈	—	13	1	no	—
1200	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1201	#127	—	13	1	no	—
1202	#127	—	13	1	no	—
1203	#127	—	13	1	no	—
1204	#127	—	13	1	no	—
1205	#127	C₂²×D₁₃	1	1	yes	characteristic
1206	#126	—	26	1	no	—
1207	#126	—	26	1	no	—
1208	#126	—	26	1	no	—
1209	#126	—	26	1	no	—
1210	#126	—	26	1	no	—
1211	#126	—	26	1	no	—
1212	#126	—	26	1	no	—
1213	#126	—	26	1	no	—
1214	#125	—	13	1	no	—
1215	#125	—	13	1	no	—
1216	#125	—	26	1	no	—
1217	#125	—	26	1	no	—
1218	#125	—	26	1	no	—
1219	#125	—	26	1	no	—
1220	#124	—	13	1	no	—
1221	#124	—	13	1	no	—
1222	#124	—	13	1	no	—
1223	#124	—	13	1	no	—
1224	#124	—	13	1	no	—
1225	#124	—	13	1	no	—
1226	#124	—	13	1	no	—
1227	#124	—	13	1	no	—
1228	#124	—	26	1	no	—
1229	#124	—	26	1	no	—
1230	#124	—	26	1	no	—
1231	#124	—	26	1	no	—
1232	#124	C₂²×D₁₃	1	1	yes	characteristic
1233	#124	C₂²×D₁₃	1	1	yes	characteristic
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	#123	—	26	1	no	—
1244	#123	—	26	1	no	—
1245	#123	—	26	1	no	—
1246	#123	—	26	1	no	—
1247	#123	—	26	1	no	—
1248	#123	—	26	1	no	—
1249	#123	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	13	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	—	26	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	C₂²⋊Q₈	—	26	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	#121	—	2	1	no	—
1271	#121	—	2	1	no	—
1272	#121	—	13	1	no	—
1273	#121	—	13	1	no	—
1274	#121	—	13	1	no	—
1275	#121	—	13	1	no	—
1276	#121	—	26	1	no	—
1277	#121	—	26	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#120	—	26	1	no	—
1297	#120	—	26	1	no	—
1298	#120	—	26	1	no	—
1299	#120	—	26	1	no	—
1300	#120	—	26	1	no	—
1301	#120	—	26	1	no	—
1302	#120	—	26	1	no	—
1303	#120	—	26	1	no	—
1304	#120	—	26	1	no	—
1305	#120	—	26	1	no	—
1306	C₄×Q₈	—	13	1	no	—
1307	C₄×Q₈	—	13	1	no	—
1308	C₄×Q₈	—	26	1	no	—
1309	C₄×Q₈	—	26	1	no	—
1310	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1311	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1312	C₄×D₄	—	2	1	no	—
1313	C₄×D₄	—	2	1	no	—
1314	C₄×D₄	—	2	1	no	—
1315	C₄×D₄	—	2	1	no	—
1316	C₄×D₄	—	13	1	no	—
1317	C₄×D₄	—	13	1	no	—
1318	C₄×D₄	—	26	1	no	—
1319	C₄×D₄	—	26	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1333	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1334	#117	—	2	1	no	—
1335	#117	—	13	1	no	—
1336	#117	—	13	1	no	—
1337	#117	—	13	1	no	—
1338	#117	—	13	1	no	—
1339	#117	—	13	1	no	—
1340	#117	—	13	1	no	—
1341	#117	—	13	1	no	—
1342	#117	—	13	1	no	—
1343	#117	—	13	1	no	—
1344	#117	—	26	1	no	—
1345	#117	C₂²×D₁₃	1	1	yes	characteristic
1346	C₂×C₄⋊C₄	—	13	1	no	—
1347	C₂×C₄⋊C₄	—	13	1	no	—
1348	C₂×C₂²⋊C₄	—	13	1	no	—
1349	C₂×C₂²⋊C₄	—	13	1	no	—
1350	C₂×C₄²	—	2	1	no	—
1351	C₂×C₄²	—	13	1	no	—
1352	C₂×C₄²	—	26	1	no	—
1353	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1354	C₄⋊C₈	—	13	1	no	—
1355	C₄⋊C₈	—	13	1	no	—
1356	C₄⋊C₈	—	13	1	no	—
1357	C₄⋊C₈	—	13	1	no	—
1358	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1359	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1360	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1361	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	—	13	1	no	—
1368	#103	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1375	#103	C₂²×D₁₃	1	1	yes	characteristic
1376	#103	C₂²×D₁₃	1	1	yes	characteristic
1377	#103	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²×D₁₃	1	1	yes	characteristic
1391	#102	C₂²×D₁₃	1	1	yes	characteristic
1392	#102	C₂²×D₁₃	1	1	yes	characteristic
1393	#102	C₂²×D₁₃	1	1	yes	characteristic
1394	C₂²⋊C₈	—	13	1	no	—
1395	C₂²⋊C₈	—	13	1	no	—
1396	C₂²⋊C₈	—	13	1	no	—
1397	C₂²⋊C₈	—	13	1	no	—
1398	C₂²⋊C₈	—	13	1	no	—
1399	C₂²⋊C₈	—	13	1	no	—
1400	C₂²⋊C₈	—	13	1	no	—
1401	C₂²⋊C₈	—	13	1	no	—
1402	#97	—	13	1	no	—
1403	#97	—	13	1	no	—
1404	#97	—	13	1	no	—
1405	#97	—	13	1	no	—
1406	C₄×C₈	—	13	1	no	—
1407	C₄×C₈	—	13	1	no	—
1408	C₄×C₈	—	13	1	no	—
1409	C₄×C₈	—	13	1	no	—
1410	C₂×C₁₃	—	2	2	no	—
1411	C₂×C₁₃	—	8	1	no	—
1412	C₂×C₁₃	—	8	1	no	—
1413	C₂×C₁₃	—	8	1	no	—
1414	C₂×C₁₃	C₂×#535	1	1	yes	characteristic
1415	C₂×C₁₃	#3584	1	1	yes	characteristic
1416	C₂×C₁₃	#3584	1	1	yes	characteristic
1417	D₁₃	—	4	1	no	—
1418	D₁₃	—	4	1	no	—
1419	D₁₃	—	8	1	no	—
1420	D₁₃	—	8	1	no	—
1421	D₁₃	—	8	1	no	—
1422	C₂⁴	—	13	1	no	—
1423	C₂⁴	—	26	1	no	—
1424	C₂⁴	—	26	1	no	—
1425	#41	—	2	2	no	—
1426	#41	—	2	2	no	—
1427	#41	—	2	2	no	—
1428	#41	—	2	2	no	—
1429	#41	—	2	2	no	—
1430	#41	—	2	2	no	—
1431	#41	—	26	2	no	—
1432	#41	—	26	2	no	—
1433	#41	—	26	2	no	—
1434	#41	—	26	2	no	—
1435	#41	—	26	2	no	—
1436	#41	—	26	2	no	—
1437	#41	—	52	4	no	—
1438	#41	—	52	4	no	—
1439	#41	—	52	1	no	—
1440	#41	—	52	1	no	—
1441	#41	—	52	1	no	—
1442	#41	—	52	1	no	—
1443	#41	—	52	4	no	—
1444	#41	—	52	4	no	—
1445	#41	—	52	1	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	1	no	—
1448	#41	—	52	1	no	—
1449	C₂×Q₈	—	13	1	no	—
1450	C₂×Q₈	—	13	1	no	—
1451	C₂×Q₈	—	13	1	no	—
1452	C₂×Q₈	—	26	1	no	—
1453	C₂×Q₈	—	26	1	no	—
1454	C₂×Q₈	—	26	1	no	—
1455	C₂×Q₈	—	26	1	no	—
1456	C₂×Q₈	—	52	1	no	—
1457	C₂×Q₈	—	52	1	no	—
1458	C₂×Q₈	—	52	1	no	—
1459	C₂×Q₈	—	52	1	no	—
1460	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1461	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1462	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1463	C₂×D₄	—	2	1	no	—
1464	C₂×D₄	—	2	1	no	—
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	13	1	no	—
1469	C₂×D₄	—	13	1	no	—
1470	C₂×D₄	—	13	1	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	26	1	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	1	no	—
1476	C₂×D₄	—	26	1	no	—
1477	C₂×D₄	—	26	1	no	—
1478	C₂×D₄	—	26	1	no	—
1479	C₂×D₄	—	26	1	no	—
1480	C₂×D₄	—	26	1	no	—
1481	C₂×D₄	—	26	1	no	—
1482	C₂×D₄	—	26	1	no	—
1483	C₂×D₄	—	26	1	no	—
1484	C₂×D₄	—	26	1	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	1	no	—
1490	C₂×D₄	—	26	1	no	—
1491	C₂×D₄	—	26	1	no	—
1492	C₂×D₄	—	52	1	no	—
1493	C₂×D₄	—	52	1	no	—
1494	C₂×D₄	—	52	1	no	—
1495	C₂×D₄	—	52	1	no	—
1496	C₂×D₄	—	52	4	no	—
1497	C₂×D₄	—	52	4	no	—
1498	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1499	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1500	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	2	1	no	—
1504	C₂²×C₄	—	2	1	no	—
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	13	1	no	—
1507	C₂²×C₄	—	13	1	no	—
1508	C₂²×C₄	—	13	1	no	—
1509	C₂²×C₄	—	13	1	no	—
1510	C₂²×C₄	—	13	1	no	—
1511	C₂²×C₄	—	13	1	no	—
1512	C₂²×C₄	—	13	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	26	1	no	—
1515	C₂²×C₄	—	26	1	no	—
1516	C₂²×C₄	—	26	1	no	—
1517	C₂²×C₄	—	26	1	no	—
1518	C₂²×C₄	—	26	1	no	—
1519	C₂²×C₄	—	26	2	no	—
1520	C₂²×C₄	—	26	2	no	—
1521	C₂²×C₄	—	26	1	no	—
1522	C₂²×C₄	—	26	1	no	—
1523	C₂²×C₄	—	26	1	no	—
1524	C₂²×C₄	—	26	1	no	—
1525	C₂²×C₄	—	26	1	no	—
1526	C₂²×C₄	—	52	4	no	—
1527	C₂²×C₄	—	52	4	no	—
1528	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1529	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1531	Q₁₆	—	4	1	no	—
1532	Q₁₆	—	4	1	no	—
1533	Q₁₆	—	52	1	no	—
1534	Q₁₆	—	52	1	no	—
1535	Q₁₆	—	52	1	no	—
1536	Q₁₆	—	52	1	no	—
1537	Q₁₆	—	52	1	no	—
1538	Q₁₆	—	52	1	no	—
1539	SD₁₆	—	4	1	no	—
1540	SD₁₆	—	4	1	no	—
1541	SD₁₆	—	4	1	no	—
1542	SD₁₆	—	4	1	no	—
1543	SD₁₆	—	52	1	no	—
1544	SD₁₆	—	52	1	no	—
1545	SD₁₆	—	52	1	no	—
1546	SD₁₆	—	52	1	no	—
1547	SD₁₆	—	52	1	no	—
1548	SD₁₆	—	52	1	no	—
1549	SD₁₆	—	52	1	no	—
1550	SD₁₆	—	52	1	no	—
1551	SD₁₆	—	52	1	no	—
1552	SD₁₆	—	52	1	no	—
1553	SD₁₆	—	52	1	no	—
1554	SD₁₆	—	52	1	no	—
1555	D₈	—	4	1	no	—
1556	D₈	—	4	1	no	—
1557	D₈	—	52	1	no	—
1558	D₈	—	52	1	no	—
1559	D₈	—	52	1	no	—
1560	D₈	—	52	1	no	—
1561	D₈	—	52	1	no	—
1562	D₈	—	52	1	no	—
1563	C₂×C₈	—	2	2	no	—
1564	C₂×C₈	—	2	2	no	—
1565	C₂×C₈	—	13	1	no	—
1566	C₂×C₈	—	13	1	no	—
1567	C₂×C₈	—	13	1	no	—
1568	C₂×C₈	—	13	1	no	—
1569	C₂×C₈	—	26	2	no	—
1570	C₂×C₈	—	26	2	no	—
1571	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1572	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1573	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1574	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	13	1	no	—
1580	C₄⋊C₄	—	13	1	no	—
1581	C₄⋊C₄	—	13	1	no	—
1582	C₄⋊C₄	—	13	1	no	—
1583	C₄⋊C₄	—	13	1	no	—
1584	C₄⋊C₄	—	13	1	no	—
1585	C₄⋊C₄	—	13	1	no	—
1586	C₄⋊C₄	—	13	1	no	—
1587	C₄⋊C₄	—	13	1	no	—
1588	C₄⋊C₄	—	13	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	—	26	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	—	26	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	C₂³×D₁₃	1	1	yes	characteristic
1610	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	13	1	no	—
1619	C₂²⋊C₄	—	13	1	no	—
1620	C₂²⋊C₄	—	13	1	no	—
1621	C₂²⋊C₄	—	13	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	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	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	C₄²	—	2	1	no	—
1654	C₄²	—	2	1	no	—
1655	C₄²	—	2	1	no	—
1656	C₄²	—	13	1	no	—
1657	C₄²	—	13	1	no	—
1658	C₄²	—	13	1	no	—
1659	C₄²	—	13	1	no	—
1660	C₄²	—	26	1	no	—
1661	C₄²	—	26	1	no	—
1662	C₄²	—	26	1	no	—
1663	C₄²	D₄×D₁₃	1	1	yes	characteristic
1664	C₄²	D₄×D₁₃	1	1	yes	characteristic
1665	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1666	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1667	C₁₃	#60797	1	1	yes	characteristic, complemented, Sylow
1668	C₂³	—	2	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	13	1	no	—
1672	C₂³	—	13	1	no	—
1673	C₂³	—	26	2	no	—
1674	C₂³	—	26	1	no	—
1675	C₂³	—	26	1	no	—
1676	C₂³	—	26	1	no	—
1677	C₂³	—	52	1	no	—
1678	C₂³	—	52	1	no	—
1679	C₂³	—	52	2	no	—
1680	C₂³	—	52	2	no	—
1681	C₂³	—	104	1	no	—
1682	C₂³	—	104	1	no	—
1683	C₂³	—	104	1	no	—
1684	C₂³	—	104	1	no	—
1685	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	26	1	no	—
1693	Q₈	—	26	1	no	—
1694	Q₈	—	26	1	no	—
1695	Q₈	—	26	1	no	—
1696	Q₈	—	26	1	no	—
1697	Q₈	—	26	1	no	—
1698	Q₈	—	52	2	no	—
1699	Q₈	—	52	2	no	—
1700	Q₈	—	104	1	no	—
1701	Q₈	—	104	1	no	—
1702	D₄	—	2	1	no	—
1703	D₄	—	2	1	no	—
1704	D₄	—	2	1	no	—
1705	D₄	—	2	1	no	—
1706	D₄	—	2	1	no	—
1707	D₄	—	2	1	no	—
1708	D₄	—	4	2	no	—
1709	D₄	—	4	2	no	—
1710	D₄	—	4	2	no	—
1711	D₄	—	8	1	no	—
1712	D₄	—	8	1	no	—
1713	D₄	—	26	1	no	—
1714	D₄	—	26	1	no	—
1715	D₄	—	26	1	no	—
1716	D₄	—	26	1	no	—
1717	D₄	—	26	1	no	—
1718	D₄	—	26	1	no	—
1719	D₄	—	52	2	no	—
1720	D₄	—	52	2	no	—
1721	D₄	—	52	2	no	—
1722	D₄	—	52	2	no	—
1723	D₄	—	52	2	no	—
1724	D₄	—	52	2	no	—
1725	D₄	—	52	2	no	—
1726	D₄	—	52	2	no	—
1727	D₄	—	52	2	no	—
1728	D₄	—	104	1	no	—
1729	D₄	—	104	1	no	—
1730	D₄	—	104	1	no	—
1731	D₄	—	104	1	no	—
1732	D₄	—	104	1	no	—
1733	D₄	—	104	1	no	—
1734	D₄	—	104	1	no	—
1735	D₄	—	104	1	no	—
1736	D₄	—	104	1	no	—
1737	D₄	—	104	1	no	—
1738	D₄	—	104	1	no	—
1739	D₄	—	104	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	4	1	no	—
1746	C₂×C₄	—	4	1	no	—
1747	C₂×C₄	—	4	2	no	—
1748	C₂×C₄	—	4	2	no	—
1749	C₂×C₄	—	4	2	no	—
1750	C₂×C₄	—	8	1	no	—
1751	C₂×C₄	—	8	1	no	—
1752	C₂×C₄	—	13	1	no	—
1753	C₂×C₄	—	13	1	no	—
1754	C₂×C₄	—	13	1	no	—
1755	C₂×C₄	—	13	1	no	—
1756	C₂×C₄	—	13	1	no	—
1757	C₂×C₄	—	13	1	no	—
1758	C₂×C₄	—	26	2	no	—
1759	C₂×C₄	—	26	2	no	—
1760	C₂×C₄	—	26	2	no	—
1761	C₂×C₄	—	26	1	no	—
1762	C₂×C₄	—	26	1	no	—
1763	C₂×C₄	—	26	1	no	—
1764	C₂×C₄	—	26	1	no	—
1765	C₂×C₄	—	26	1	no	—
1766	C₂×C₄	—	26	1	no	—
1767	C₂×C₄	—	26	1	no	—
1768	C₂×C₄	—	26	1	no	—
1769	C₂×C₄	—	26	1	no	—
1770	C₂×C₄	—	52	2	no	—
1771	C₂×C₄	—	52	2	no	—
1772	C₂×C₄	—	52	2	no	—
1773	C₂×C₄	—	52	2	no	—
1774	C₂×C₄	—	52	1	no	—
1775	C₂×C₄	—	52	1	no	—
1776	C₂×C₄	—	52	2	no	—
1777	C₂×C₄	—	52	2	no	—
1778	C₂×C₄	—	52	2	no	—
1779	C₂×C₄	—	52	2	no	—
1780	C₂×C₄	—	52	2	no	—
1781	C₂×C₄	—	104	1	no	—
1782	C₂×C₄	—	104	1	no	—
1783	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1784	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1785	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1786	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1787	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1788	C₂×C₄	#88251	1	2	yes	—
1789	C₂×C₄	#88256	1	2	yes	—
1790	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1791	C₈	—	2	1	no	—
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	26	1	no	—
1796	C₈	—	26	1	no	—
1797	C₈	—	26	1	no	—
1798	C₈	—	26	1	no	—
1799	C₂²	—	2	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	26	1	no	—
1811	C₂²	—	26	1	no	—
1812	C₂²	—	26	1	no	—
1813	C₂²	—	26	1	no	—
1814	C₂²	—	26	1	no	—
1815	C₂²	—	26	1	no	—
1816	C₂²	—	52	1	no	—
1817	C₂²	—	52	1	no	—
1818	C₂²	—	52	1	no	—
1819	C₂²	—	52	1	no	—
1820	C₂²	—	52	1	no	—
1821	C₂²	—	52	1	no	—
1822	C₂²	—	52	1	no	—
1823	C₂²	—	52	1	no	—
1824	C₂²	—	52	1	no	—
1825	C₂²	—	104	2	no	—
1826	C₂²	—	104	4	no	—
1827	C₂²	—	104	4	no	—
1828	C₂²	#11719312	1	2	yes	—
1829	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	26	1	no	—
1840	C₄	—	26	1	no	—
1841	C₄	—	26	1	no	—
1842	C₄	—	26	1	no	—
1843	C₄	—	26	1	no	—
1844	C₄	—	26	1	no	—
1845	C₄	—	52	1	no	—
1846	C₄	—	52	1	no	—
1847	C₄	—	52	1	no	—
1848	C₄	—	52	1	no	—
1849	C₄	—	52	1	no	—
1850	C₄	#11719312	1	2	yes	—
1851	C₄	C₂×#88251	1	1	yes	characteristic
1852	C₄	C₂×#88256	1	1	yes	characteristic
1853	C₂	—	2	2	no	—
1854	C₂	—	8	1	no	—
1855	C₂	—	8	1	no	—
1856	C₂	—	8	1	no	—
1857	C₂	—	52	1	no	—
1858	C₂	—	52	1	no	—
1859	C₂	—	104	1	no	—
1860	C₂	—	104	1	no	—
1861	C₂	—	104	1	no	—
1862	C₂	C₂×#11719312	1	1	yes	characteristic
1863	C₂	#13129605	1	1	yes	characteristic
1864	C₂	#13129609	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3035	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3035	D₁₃
hypocenter	C₁₃	#60797
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3035

Complements

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

N	H ≅ G/N	type
1. #13128221	C₂	semidirect
2. #13128163	C₂	semidirect
3. #13125952	C₂	semidirect
4. #13125950	C₂	semidirect
5. #13125944	C₂	semidirect
6. #13125942	C₂	semidirect
7. #13125937	C₂	semidirect
8. #13125935	C₂	semidirect
9. #13125929	C₂	semidirect
10. #13125927	C₂	semidirect
11. #13125918	C₂	semidirect
12. #13125916	C₂	semidirect
13. #13125907	C₂	semidirect
14. #13125905	C₂	semidirect
15. #13125896	C₂	semidirect
16. #13125894	C₂	semidirect
17. #13125885	C₂	semidirect
18. #13125883	C₂	semidirect
19. #13125279	C₂	semidirect
20. #13125260	C₂	semidirect
21. #13125179	C₂	semidirect
22. #13125156	C₂	semidirect
23. #13124293	C₂	semidirect
24. #13124291	C₂	semidirect
25. #13124285	C₂	semidirect
26. #13124056	C₂	semidirect
27. #13124056	C₂	semidirect
28. #13124050	C₂	semidirect
29. #13124050	C₂	semidirect
30. C₂×#11718501	C₂	semidirect
31. C₁₃×#3035	C₂	semidirect
34. C₂×C₁₃×#135	C₂²	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
37. C₄×C₁₃×#41	C₂²	semidirect
40. #11719537	C₂²	semidirect
42. C₂×#88204	C₂²	semidirect
43. C₂×#88204	C₂²	semidirect
44. C₂×#88204	C₂²	semidirect
45. C₂×#88204	C₂²	semidirect
46. C₂×#88158	C₂²	semidirect
47. C₂×#88158	C₂²	semidirect
60. #11719288	C₂²	semidirect
61. #11719288	C₂²	semidirect
62. #11719287	C₂²	semidirect
63. #11719287	C₂²	semidirect
66. #11719267	C₂²	semidirect
67. #11719267	C₂²	semidirect
68. #11719266	C₂²	semidirect
69. #11719266	C₂²	semidirect
79. #11719222	C₂²	semidirect
83. C₄×#6127	C₂²	semidirect
85. C₁₃×#464	C₂²	semidirect
86. C₁₃×#464	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#462	C₂²	semidirect
90. C₁₃×#461	C₂²	semidirect
91. C₁₃×#460	C₂²	semidirect
92. C₁₃×#459	C₂²	semidirect
93. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. C₁₃×#416	C₂²	semidirect
96. #11718894	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718852	C₂²	semidirect
99. #11718851	C₂²	semidirect
100. #11718851	C₂²	semidirect
103. #11718847	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718842	C₂²	semidirect
106. #11718837	C₂²	semidirect
107. #11718837	C₂²	semidirect
108. #11718836	C₂²	semidirect
109. #11718836	C₂²	semidirect
114. #11718831	C₂²	semidirect
115. #11718831	C₂²	semidirect
116. #11718830	C₂²	semidirect
117. #11718830	C₂²	semidirect
118. #11718829	C₂²	semidirect
119. #11718829	C₂²	semidirect
120. #11718828	C₂²	semidirect
121. #11718828	C₂²	semidirect
124. #11718817	C₂²	semidirect
125. #11718817	C₂²	semidirect
126. #11718816	C₂²	semidirect
127. #11718815	C₂²	semidirect
128. #11718815	C₂²	semidirect
129. #11718812	C₂²	semidirect
130. #11718774	C₂²	semidirect
131. #11718774	C₂²	semidirect
134. C₂×#88055	C₂²	semidirect
135. C₂×C₈×Dic₁₃	C₂²	semidirect
136. #11718751	C₂²	semidirect
137. #11718744	C₂²	semidirect
138. #11718736	C₂²	semidirect
139. #11718733	C₂²	semidirect
140. #11718718	C₂²	semidirect
141. #11718718	C₂²	semidirect
142. #11718715	C₂²	semidirect
143. #11718715	C₂²	semidirect
144. #11718692	C₂²	semidirect
145. #11718689	C₂²	semidirect
146. #11718689	C₂²	semidirect
147. #11718688	C₂²	semidirect
148. #11718680	C₂²	semidirect
149. #11718677	C₂²	semidirect
150. #11718677	C₂²	semidirect
151. #11718676	C₂²	semidirect
152. #11718663	C₂²	semidirect
153. #11718663	C₂²	semidirect
154. C₂×C₄⋊#1055	C₂²	semidirect
155. #11718510	C₂²	semidirect
156. #11718509	C₂²	semidirect
157. #11718506	C₂²	semidirect
158. #11718506	C₂²	semidirect
159. #11718505	C₂²	semidirect
160. #11718505	C₂²	semidirect
161. #11718504	C₂²	semidirect
162. #11718502	C₂²	semidirect
163. #11718501	C₂²	semidirect
164. #11718501	C₂²	semidirect
165. #11718501	C₂²	semidirect
166. #11718501	C₂²	semidirect
167. #11718501	C₂²	semidirect
168. #11718501	C₂²	semidirect
169. #11718501	C₂²	semidirect
170. #11718501	C₂²	semidirect
175. #11718469	C₂²	semidirect
176. #11718469	C₂²	semidirect
177. #11718467	C₂²	semidirect
178. #11718467	C₂²	semidirect
179. #11718461	C₂²	semidirect
180. #11718461	C₂²	semidirect
181. #11718458	C₂²	semidirect
182. #11718458	C₂²	semidirect
183. #11718456	C₂²	semidirect
184. #11718456	C₂²	semidirect
185. #11718453	C₂²	semidirect
186. #11718453	C₂²	semidirect
191. #11718437	C₂²	semidirect
192. #11718437	C₂²	semidirect
193. #11718434	C₂²	semidirect
194. #11718434	C₂²	semidirect
195. #11718429	C₂²	semidirect
196. #11718429	C₂²	semidirect
197. #11718426	C₂²	semidirect
198. #11718426	C₂²	semidirect
199. #11718425	C₂²	semidirect
200. #11718425	C₂²	semidirect
201. #11718421	C₂²	semidirect
202. #11718421	C₂²	semidirect
761. #3035	D₁₃	semidirect
906. C₂×#135	C₂×D₁₃	semidirect
907. C₂×#135	C₂×D₁₃	semidirect
949. C₄×#41	C₂×D₁₃	semidirect
989. #464	C₂×D₁₃	semidirect
990. #464	C₂×D₁₃	semidirect
997. #463	C₂×D₁₃	semidirect
998. #463	C₂×D₁₃	semidirect
1002. #462	C₂×D₁₃	semidirect
1006. #461	C₂×D₁₃	semidirect
1010. #460	C₂×D₁₃	semidirect
1014. #459	C₂×D₁₃	semidirect
1056. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
1063. #416	C₂×D₁₃	semidirect
1064. #416	C₂×D₁₃	semidirect
1667. C₁₃	#60797	semidirect

Maximal subgroups

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

subgroup	index
#13128221	2
#13128163	2
#13125952	2
#13125950	2
#13125944	2
#13125942	2
#13125937	2
#13125935	2
#13125929	2
#13125927	2
#13125918	2
#13125916	2
#13125907	2
#13125905	2
#13125896	2
#13125894	2
#13125885	2
#13125883	2
#13125279	2
#13125260	2
#13125179	2
#13125156	2
#13124293	2
#13124291	2
#13124285	2
#13124056	2
#13124050	2
C₂×#11718501	2
C₁₃×#3035	2
#60797	13