Subgroups — #16744413

Order 3328.

2000 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128443	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128441	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127843	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127698	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127497	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127493	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127232	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127231	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127223	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126688	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126687	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126681	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126656	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126655	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126519	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126517	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126506	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125410	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125405	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125399	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124891	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124889	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124888	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124886	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124882	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124878	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈×#6129	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123604	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718417	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
34	#11719534	C₂²	1	1	yes	characteristic, complemented
35	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×#88204	C₂²	1	1	yes	characteristic
37	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
38	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#6104	C₂²	1	1	yes	characteristic
40	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
41	#11719411	—	2	1	no	—
42	#11719410	—	2	1	no	—
43	#11719396	C₂²	1	1	yes	characteristic, complemented
44	#11719395	C₂²	1	1	yes	characteristic, complemented
45	#11719386	C₂²	1	1	yes	characteristic, complemented
46	#11719385	C₂²	1	1	yes	characteristic, complemented
47	#11719366	—	2	1	no	—
48	#11719363	—	2	1	no	—
49	#11719361	—	2	1	no	—
50	#11719354	—	2	1	no	—
51	#11719340	C₂²	1	1	yes	characteristic
52	#11719329	C₂²	1	1	yes	characteristic, complemented
53	#11719319	C₂²	1	1	yes	characteristic, complemented
54	#11719317	C₂²	1	1	yes	characteristic, complemented
55	#11719315	—	2	1	no	—
56	#11719314	C₂²	1	1	yes	characteristic
57	#11719311	—	2	1	no	—
58	#11719311	—	2	1	no	—
59	#11719306	—	2	1	no	—
60	#11719305	C₂²	1	1	yes	characteristic, complemented
61	#11719301	C₂²	1	1	yes	characteristic, complemented
62	#11719301	C₂²	1	1	yes	characteristic, complemented
63	#11719296	—	2	1	no	—
64	#11719291	—	2	1	no	—
65	#11719270	C₂²	1	1	yes	characteristic, complemented
66	#11719264	C₂²	1	1	yes	characteristic, complemented
67	#11719261	—	2	1	no	—
68	#11719255	C₂²	1	1	yes	characteristic, complemented
69	C₄×D₄×D₁₃	—	2	1	no	—
70	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
72	#11719244	C₂²	1	1	yes	characteristic, complemented
73	C₄×#6129	C₂²	1	1	yes	characteristic
74	#11719235	C₂²	1	1	yes	characteristic, complemented
75	#11719227	C₂²	1	1	yes	characteristic, complemented
76	#11719216	C₂²	1	1	yes	characteristic
77	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
78	#11719200	—	2	1	no	—
79	C₂×#88135	—	2	1	no	—
80	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#447	C₂²	1	1	yes	characteristic
89	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
90	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
93	#11718899	C₂²	1	1	yes	characteristic, complemented
94	#11718879	C₂²	1	1	yes	characteristic, complemented
95	#11718830	C₂²	1	1	yes	characteristic, complemented
96	#11718829	C₂²	1	1	yes	characteristic, complemented
97	#11718824	C₂²	1	1	yes	characteristic, complemented
98	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
99	#11718817	C₂²	1	1	yes	characteristic
100	#11718814	C₂²	1	1	yes	characteristic, complemented
101	#11718814	C₂²	1	1	yes	characteristic, complemented
102	#11718812	C₂²	1	1	yes	characteristic
103	#11718811	C₂²	1	1	yes	characteristic
104	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
105	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
106	#11718776	C₂²	1	1	yes	characteristic, complemented
107	#11718775	C₂²	1	1	yes	characteristic, complemented
108	#11718774	C₂²	1	1	yes	characteristic, complemented
109	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
110	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
111	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
114	#11718727	C₂²	1	1	yes	characteristic, complemented
115	#11718725	C₂²	1	1	yes	characteristic, complemented
116	#11718720	C₂²	1	1	yes	characteristic, complemented
117	#11718718	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718707	C₂²	1	1	yes	characteristic, complemented
120	#11718699	C₂²	1	1	yes	characteristic
121	#11718699	C₂²	1	1	yes	characteristic, complemented
122	#11718699	C₂²	1	1	yes	characteristic, complemented
123	#11718698	C₂²	1	1	yes	characteristic, complemented
124	#11718696	C₂²	1	1	yes	characteristic, complemented
125	#11718695	C₂²	1	1	yes	characteristic, complemented
126	#11718677	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6104	C₂²	1	1	yes	characteristic
128	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
129	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
130	#11718670	C₂²	1	1	yes	characteristic, complemented
131	#11718664	C₂²	1	1	yes	characteristic, complemented
132	#11718659	C₂²	1	1	yes	characteristic, complemented
133	#11718629	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88047	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718552	C₂²	1	1	yes	characteristic, complemented
137	#11718545	C₂²	1	1	yes	characteristic, complemented
138	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
139	#11718536	C₂²	1	1	yes	characteristic, complemented
140	#11718535	C₂²	1	1	yes	characteristic, complemented
141	#11718533	C₂²	1	1	yes	characteristic, complemented
142	#11718533	C₂²	1	1	yes	characteristic, complemented
143	#11718531	C₂²	1	1	yes	characteristic, complemented
144	#11718524	C₂²	1	1	yes	characteristic, complemented
145	#11718519	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718494	C₂²	1	1	yes	characteristic, complemented
150	#11718491	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718480	C₂²	1	1	yes	characteristic, complemented
153	#11718474	C₂²	1	1	yes	characteristic, complemented
154	#11718470	C₂²	1	1	yes	characteristic, complemented
155	#11718468	C₂²	1	1	yes	characteristic, complemented
156	#11718461	C₂²	1	1	yes	characteristic, complemented
157	#11718455	C₂²	1	1	yes	characteristic, complemented
158	#11718451	C₂²	1	1	yes	characteristic, complemented
159	#11718451	C₂²	1	1	yes	characteristic, complemented
160	#11718449	C₂²	1	1	yes	characteristic, complemented
161	#11718449	C₂²	1	1	yes	characteristic, complemented
162	#11718449	C₂²	1	1	yes	characteristic, complemented
163	#11718447	C₂²	1	1	yes	characteristic
164	#11718439	C₂²	1	1	yes	characteristic, complemented
165	#11718438	C₂²	1	1	yes	characteristic, complemented
166	#11718437	C₂²	1	1	yes	characteristic, complemented
167	#11718436	C₂²	1	1	yes	characteristic
168	#11718434	C₂²	1	1	yes	characteristic
169	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
170	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
171	#11718429	C₂²	1	1	yes	characteristic, complemented
172	#11718427	C₂²	1	1	yes	characteristic, complemented
173	#11718427	C₂²	1	1	yes	characteristic, complemented
174	#11718423	C₂²	1	1	yes	characteristic, complemented
175	#11718422	C₂²	1	1	yes	characteristic, complemented
176	#11718421	C₂²	1	1	yes	characteristic, complemented
177	#11718421	C₂²	1	1	yes	characteristic, complemented
178	#11718419	C₂²	1	1	yes	characteristic, complemented
179	#11718419	C₂²	1	1	yes	characteristic, complemented
180	#11718419	C₂²	1	1	yes	characteristic, complemented
181	#11718417	C₂²	1	1	yes	characteristic
182	#11718417	C₂²	1	1	yes	characteristic
183	#11718417	C₂²	1	1	yes	characteristic
184	#11718417	C₂²	1	1	yes	characteristic, complemented
185	#11718417	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718417	C₂²	1	1	yes	characteristic, complemented
188	#11718417	C₂²	1	1	yes	characteristic, complemented
189	#11718417	C₂²	1	1	yes	characteristic, complemented
190	#11718417	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
194	#11718386	C₂²	1	1	yes	characteristic
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	#11718383	C₂²	1	1	yes	characteristic, complemented
197	#11718379	C₂²	1	1	yes	characteristic, complemented
198	#11718379	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂³×Dic₁₃	—	2	1	no	—
207	C₂×#6129	—	2	1	no	—
208	C₂×#6129	—	2	1	no	—
209	C₂×#6129	D₄	1	1	yes	characteristic
210	C₂×D₄×D₁₃	—	2	1	no	—
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×#6127	C₂³	1	1	yes	characteristic
214	C₂²×D₅₂	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₁₃	—	2	1	no	—
216	C₂²×C₄×D₁₃	—	2	1	no	—
217	C₂²×C₄×D₁₃	—	2	1	no	—
218	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₁₃×#126	—	2	1	no	—
224	C₁₃×#125	C₂³	1	1	yes	characteristic
225	C₁₃×#124	C₂³	1	1	yes	characteristic
226	C₁₃×#123	—	2	1	no	—
227	C₁₃×#123	—	2	1	no	—
228	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	C₂³	1	1	yes	characteristic
232	C₁₃×#121	C₂³	1	1	yes	characteristic
233	C₁₃×#121	C₂³	1	1	yes	characteristic
234	C₁₃×#120	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₁₃×#117	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
242	#88207	—	2	1	no	—
243	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
244	#88204	—	2	4	no	—
245	#88201	C₂³	1	1	yes	characteristic
246	#88200	C₂³	1	1	yes	characteristic
247	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
248	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×#6107	C₂³	1	1	yes	characteristic
250	C₂×#6106	C₂³	1	1	yes	characteristic
251	C₂×#6106	C₂³	1	1	yes	characteristic
252	#88194	C₂³	1	1	yes	characteristic
253	#88194	C₂³	1	1	yes	characteristic
254	#88193	—	2	1	no	—
255	#88193	—	2	1	no	—
256	#88193	—	2	1	no	—
257	#88193	—	2	1	no	—
258	#88193	—	2	1	no	—
259	#88192	—	2	1	no	—
260	#88192	—	2	1	no	—
261	#88192	C₂³	1	1	yes	characteristic
262	#88191	—	2	1	no	—
263	#88191	—	2	1	no	—
264	#88191	—	2	1	no	—
265	#88191	—	2	1	no	—
266	#88191	—	2	1	no	—
267	#88190	C₂³	1	1	yes	characteristic
268	#88189	—	2	1	no	—
269	#88189	—	2	1	no	—
270	D₄×Dic₁₃	—	2	1	no	—
271	D₄×Dic₁₃	—	2	1	no	—
272	D₄×Dic₁₃	—	2	1	no	—
273	D₄×Dic₁₃	—	2	1	no	—
274	D₄×Dic₁₃	—	2	1	no	—
275	D₄×Dic₁₃	D₄	1	1	yes	characteristic
276	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×#6105	C₂³	1	1	yes	characteristic
283	C₂×#6105	C₂³	1	1	yes	characteristic
284	C₂×#6104	—	2	4	no	—
285	C₂×#6104	C₂³	1	1	yes	characteristic
286	C₂×#6104	C₂³	1	1	yes	characteristic
287	C₂×#6104	C₂³	1	1	yes	characteristic
288	C₂×#6104	C₂³	1	1	yes	characteristic
289	C₂×#6104	C₂³	1	1	yes	characteristic
290	#88184	C₂³	1	1	yes	characteristic
291	#88184	C₂³	1	1	yes	characteristic
292	#88184	C₂³	1	1	yes	characteristic
293	#88183	—	2	1	no	—
294	#88183	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	—	2	1	no	—
296	C₄×C₂²⋊D₁₃	—	2	1	no	—
297	C₄×C₂²⋊D₁₃	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	—	2	1	no	—
299	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
300	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
301	C₂×#6103	—	2	1	no	—
302	C₂×#6103	—	2	1	no	—
303	#88180	—	2	1	no	—
304	#88180	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
306	#88178	—	2	1	no	—
307	#88178	—	2	1	no	—
308	#88178	C₂³	1	1	yes	characteristic
309	C₂×#6101	—	2	1	no	—
310	C₂×C₄×Dic₁₃	—	2	1	no	—
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂²×#1055	C₂³	1	1	yes	characteristic
314	C₂²×#1055	C₂³	1	1	yes	characteristic
315	D₈×D₁₃	—	2	4	no	—
316	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
317	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
318	C₂×#6095	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
321	#88152	—	2	1	no	—
322	#88152	—	2	1	no	—
323	#88152	—	2	1	no	—
324	#88151	—	2	1	no	—
325	#88151	—	2	1	no	—
326	#88151	C₂³	1	1	yes	characteristic
327	#88150	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88150	—	2	1	no	—
330	#88149	C₂³	1	1	yes	characteristic
331	#88148	—	2	1	no	—
332	#88148	—	2	1	no	—
333	#88147	—	2	1	no	—
334	#88147	—	2	1	no	—
335	#88147	—	2	1	no	—
336	#88147	C₂³	1	1	yes	characteristic
337	#88147	C₂³	1	1	yes	characteristic
338	#88147	C₂³	1	1	yes	characteristic
339	#88147	C₂³	1	1	yes	characteristic
340	#88147	C₂³	1	1	yes	characteristic
341	#88147	C₂³	1	1	yes	characteristic
342	#88146	—	2	1	no	—
343	#88146	—	2	1	no	—
344	#88146	D₄	1	1	yes	characteristic
345	C₄⋊C₄×D₁₃	—	2	1	no	—
346	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
347	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
348	#88144	C₂³	1	1	yes	characteristic
349	#88144	C₂³	1	1	yes	characteristic
350	#88143	—	2	1	no	—
351	#88143	—	2	1	no	—
352	#88142	C₂³	1	1	yes	characteristic
353	#88142	C₂³	1	1	yes	characteristic
354	#88141	D₄	1	1	yes	characteristic
355	#88141	C₂³	1	1	yes	characteristic
356	#88141	C₂³	1	1	yes	characteristic
357	#88140	—	2	1	no	—
358	#88140	—	2	1	no	—
359	#88139	—	2	1	no	—
360	#88139	—	2	1	no	—
361	#88139	—	2	1	no	—
362	#88139	—	2	1	no	—
363	#88138	—	2	1	no	—
364	#88138	—	2	1	no	—
365	#88138	—	2	1	no	—
366	#88137	—	2	1	no	—
367	#88137	—	2	1	no	—
368	#88137	—	2	1	no	—
369	#88137	—	2	1	no	—
370	#88137	—	2	1	no	—
371	#88137	—	2	1	no	—
372	#88136	—	2	1	no	—
373	#88135	—	2	1	no	—
374	#88135	—	2	1	no	—
375	#88135	—	2	1	no	—
376	#88135	—	2	1	no	—
377	#88135	—	2	1	no	—
378	#88135	—	2	1	no	—
379	#88135	—	2	1	no	—
380	#88135	—	2	1	no	—
381	#88135	—	2	1	no	—
382	#88135	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	—	2	1	no	—
385	#88135	D₄	1	1	yes	characteristic
386	#88135	D₄	1	1	yes	characteristic
387	C₂²⋊C₄×D₁₃	—	2	1	no	—
388	C₂²⋊C₄×D₁₃	—	2	1	no	—
389	C₂²⋊C₄×D₁₃	—	2	1	no	—
390	C₂²⋊C₄×D₁₃	—	2	1	no	—
391	#88133	—	2	1	no	—
392	#88133	—	2	1	no	—
393	#88133	—	2	1	no	—
394	#88132	—	2	1	no	—
395	#88132	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88131	—	2	1	no	—
398	#88131	—	2	1	no	—
399	#88131	D₄	1	1	yes	characteristic
400	#88131	D₄	1	1	yes	characteristic
401	#88130	—	2	1	no	—
402	#88129	C₂³	1	1	yes	characteristic
403	C₄×D₅₂	—	2	1	no	—
404	C₄×D₅₂	C₂³	1	1	yes	characteristic
405	C₄×D₅₂	C₂³	1	1	yes	characteristic
406	#88126	—	2	1	no	—
407	C₄²×D₁₃	—	2	1	no	—
408	C₄²×D₁₃	C₂³	1	1	yes	characteristic
409	#88124	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
415	C₁₃×#103	C₂³	1	1	yes	characteristic
416	C₁₃×#103	C₂³	1	1	yes	characteristic
417	C₁₃×#103	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×#102	C₂³	1	1	yes	characteristic
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₁₃×#102	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
428	#88075	C₂³	1	1	yes	characteristic
429	#88072	C₂³	1	1	yes	characteristic
430	#88072	C₂³	1	1	yes	characteristic
431	#88072	C₂³	1	1	yes	characteristic
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	C₂²⋊#1055	C₂³	1	1	yes	characteristic
435	C₂²⋊#1055	C₂³	1	1	yes	characteristic
436	#88061	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88061	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88058	C₂³	1	1	yes	characteristic
446	#88058	C₂³	1	1	yes	characteristic
447	#88057	C₂³	1	1	yes	characteristic
448	#88056	C₂³	1	1	yes	characteristic
449	#88056	C₂³	1	1	yes	characteristic
450	#88056	C₂³	1	1	yes	characteristic
451	#88054	C₂³	1	1	yes	characteristic
452	#88054	C₂³	1	1	yes	characteristic
453	#88054	C₂³	1	1	yes	characteristic
454	#88054	C₂³	1	1	yes	characteristic
455	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
456	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
457	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
458	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
459	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
463	#88050	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88048	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	C₄⋊#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61431	—	13	1	no	maximal, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂³×D₁₃	—	2	1	no	—
484	C₂³×D₁₃	—	2	1	no	—
485	C₂³×D₁₃	—	2	1	no	—
486	C₁₃×#41	—	2	2	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×D₄×C₁₃	—	2	2	no	—
490	C₂×D₄×C₁₃	—	2	1	no	—
491	C₂×D₄×C₁₃	—	2	1	no	—
492	C₂×D₄×C₁₃	—	2	1	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	4	1	no	—
496	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	—	2	1	no	—
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	4	4	no	—
518	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	—	2	1	no	—
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	C₂²×Dic₁₃	—	8	2	no	—
528	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
532	#6129	—	2	4	no	—
533	#6129	—	8	2	no	—
534	#6129	—	8	2	no	—
535	D₄×D₁₃	—	2	2	no	—
536	D₄×D₁₃	—	2	2	no	—
537	D₄×D₁₃	—	4	1	no	—
538	D₄×D₁₃	—	4	1	no	—
539	D₄×D₁₃	—	4	4	no	—
540	#6127	—	2	2	no	—
541	#6127	—	4	1	no	—
542	C₂×D₅₂	—	2	2	no	—
543	C₂×D₅₂	—	2	1	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	4	1	no	—
546	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
547	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
548	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	8	2	no	—
561	C₂×C₄×D₁₃	—	8	2	no	—
562	C₂×C₄×D₁₃	—	8	2	no	—
563	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₂₆	—	2	1	no	—
567	C₂×Dic₂₆	—	2	1	no	—
568	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
569	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
570	C₁₃×SD₁₆	—	4	1	no	—
571	C₁₃×D₈	—	2	2	no	—
572	C₁₃×D₈	—	4	1	no	—
573	C₂×C₈×C₁₃	—	4	1	no	—
574	C₂×C₈×C₁₃	—	4	1	no	—
575	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₄²×C₁₃	—	2	1	no	—
600	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
601	C₂²⋊Dic₁₃	—	2	1	no	—
602	C₂²⋊Dic₁₃	—	2	1	no	—
603	C₂²⋊Dic₁₃	—	2	1	no	—
604	C₂²⋊Dic₁₃	—	2	1	no	—
605	C₂²⋊Dic₁₃	—	2	1	no	—
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	—	2	1	no	—
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
610	C₂²⋊Dic₁₃	—	2	1	no	—
611	C₂²⋊Dic₁₃	—	2	1	no	—
612	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
613	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
614	#6107	—	2	2	no	—
615	#6106	—	2	2	no	—
616	#6106	—	4	1	no	—
617	#6105	—	2	2	no	—
618	#6105	—	4	1	no	—
619	#6104	—	2	2	no	—
620	#6104	—	2	2	no	—
621	#6104	—	2	2	no	—
622	#6104	—	2	2	no	—
623	#6104	#41	1	4	yes	complemented
624	#6103	—	2	1	no	—
625	#6103	—	2	1	no	—
626	#6103	—	2	1	no	—
627	#6103	—	2	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	C₂×D₄	1	1	yes	characteristic
643	#6103	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₁₃	—	2	1	no	—
645	C₄⋊Dic₁₃	—	2	1	no	—
646	C₄⋊Dic₁₃	—	2	1	no	—
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
651	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	C₂×D₄	1	1	yes	characteristic
668	#6101	C₂×D₄	1	1	yes	characteristic
669	#6101	C₂×D₄	1	1	yes	characteristic
670	#6101	C₂×D₄	1	1	yes	characteristic
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	—	2	1	no	—
673	C₄×Dic₁₃	—	2	1	no	—
674	C₄×Dic₁₃	—	2	1	no	—
675	C₄×Dic₁₃	—	2	1	no	—
676	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
677	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
679	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
680	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
683	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
684	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
685	C₂×#1055	—	2	2	no	—
686	C₂×#1055	—	2	2	no	—
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	C₂×#1055	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	C₂⁴	1	1	yes	characteristic
691	D₁₀₄	—	2	2	no	—
692	D₁₀₄	—	4	1	no	—
693	#6095	—	4	1	no	—
694	C₈×D₁₃	—	2	2	no	—
695	C₈×D₁₃	—	4	1	no	—
696	#3481	—	13	1	no	—
697	#3481	—	13	1	no	—
698	#3396	—	13	1	no	—
699	#3380	—	13	1	no	—
700	#3361	—	13	1	no	—
701	#3361	—	13	1	no	—
702	#3339	—	13	1	no	—
703	#3339	—	13	1	no	—
704	#3338	—	13	1	no	—
705	#3297	—	13	1	no	—
706	#3297	—	13	1	no	—
707	#3297	—	13	1	no	—
708	#3297	D₁₃	1	1	yes	characteristic, complemented
709	#3295	—	13	1	no	—
710	#3295	—	13	1	no	—
711	#3280	—	13	1	no	—
712	#3280	—	13	1	no	—
713	D₄×D₈	—	13	1	no	—
714	#3169	—	13	1	no	—
715	#3168	—	13	1	no	—
716	#3168	—	13	1	no	—
717	#3106	—	13	1	no	—
718	#3106	—	13	1	no	—
719	#3105	—	13	1	no	—
720	#3105	—	13	1	no	—
721	#3105	—	13	1	no	—
722	#3105	—	13	1	no	—
723	C₈×#41	—	13	1	no	—
724	C₄×#135	—	13	1	no	—
725	C₂×C₄×D₈	—	13	1	no	—
726	C₂×C₄×D₈	—	13	1	no	—
727	C₂³×C₁₃	—	2	1	no	—
728	C₂³×C₁₃	—	2	1	no	—
729	C₂³×C₁₃	—	2	1	no	—
730	C₂³×C₁₃	—	4	2	no	—
731	C₂³×C₁₃	—	4	2	no	—
732	C₂³×C₁₃	—	8	1	no	—
733	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
734	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
735	C₂²×D₁₃	—	2	1	no	—
736	C₂²×D₁₃	—	2	1	no	—
737	C₂²×D₁₃	—	2	1	no	—
738	C₂²×D₁₃	—	4	2	no	—
739	C₂²×D₁₃	—	4	2	no	—
740	C₂²×D₁₃	—	4	2	no	—
741	C₂²×D₁₃	—	4	2	no	—
742	C₂²×D₁₃	—	4	2	no	—
743	C₂²×D₁₃	—	4	2	no	—
744	C₂²×D₁₃	—	8	1	no	—
745	C₂²×D₁₃	—	8	1	no	—
746	C₂²×D₁₃	—	8	1	no	—
747	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
748	Q₈×C₁₃	—	2	1	no	—
749	Q₈×C₁₃	—	2	1	no	—
750	D₄×C₁₃	—	2	2	no	—
751	D₄×C₁₃	—	2	1	no	—
752	D₄×C₁₃	—	2	1	no	—
753	D₄×C₁₃	—	2	1	no	—
754	D₄×C₁₃	—	2	1	no	—
755	D₄×C₁₃	—	2	1	no	—
756	D₄×C₁₃	—	4	2	no	—
757	D₄×C₁₃	—	4	2	no	—
758	D₄×C₁₃	—	4	2	no	—
759	D₄×C₁₃	—	8	1	no	—
760	D₄×C₁₃	—	8	1	no	—
761	D₄×C₁₃	C₂×#41	1	2	yes	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	4	2	no	—
772	C₂×C₄×C₁₃	—	8	1	no	—
773	C₂×C₄×C₁₃	—	8	1	no	—
774	C₂×C₄×C₁₃	—	8	1	no	—
775	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
780	C₂²⋊D₁₃	—	2	2	no	—
781	C₂²⋊D₁₃	—	4	2	no	—
782	C₂²⋊D₁₃	—	4	2	no	—
783	C₂²⋊D₁₃	—	4	2	no	—
784	C₂²⋊D₁₃	—	4	2	no	—
785	C₂²⋊D₁₃	—	4	2	no	—
786	C₂²⋊D₁₃	—	4	2	no	—
787	C₂²⋊D₁₃	—	4	2	no	—
788	C₂²⋊D₁₃	—	8	1	no	—
789	C₂²⋊D₁₃	—	8	1	no	—
790	C₂²⋊D₁₃	—	8	1	no	—
791	C₂²⋊D₁₃	—	8	1	no	—
792	C₂²⋊D₁₃	#135	1	4	yes	complemented
793	C₂×Dic₁₃	—	2	2	no	—
794	C₂×Dic₁₃	—	2	2	no	—
795	C₂×Dic₁₃	—	2	2	no	—
796	C₂×Dic₁₃	—	2	2	no	—
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	1	no	—
801	C₂×Dic₁₃	—	2	1	no	—
802	C₂×Dic₁₃	—	4	2	no	—
803	C₂×Dic₁₃	—	4	2	no	—
804	C₂×Dic₁₃	—	4	2	no	—
805	C₂×Dic₁₃	—	4	2	no	—
806	C₂×Dic₁₃	—	8	1	no	—
807	C₂×Dic₁₃	—	8	1	no	—
808	C₂×Dic₁₃	—	8	1	no	—
809	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
816	D₅₂	—	2	1	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	2	1	no	—
820	D₅₂	—	2	1	no	—
821	D₅₂	—	4	2	no	—
822	D₅₂	—	4	2	no	—
823	D₅₂	C₂×#41	1	2	yes	—
824	C₄×D₁₃	—	2	2	no	—
825	C₄×D₁₃	—	2	1	no	—
826	C₄×D₁₃	—	2	1	no	—
827	C₄×D₁₃	—	2	2	no	—
828	C₄×D₁₃	—	4	2	no	—
829	C₄×D₁₃	—	4	2	no	—
830	C₄×D₁₃	—	4	2	no	—
831	C₄×D₁₃	—	4	2	no	—
832	C₄×D₁₃	—	4	2	no	—
833	C₄×D₁₃	—	8	1	no	—
834	C₄×D₁₃	—	8	1	no	—
835	C₄×D₁₃	—	8	1	no	—
836	C₄×D₁₃	—	8	1	no	—
837	C₄×D₁₃	—	8	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	Dic₂₆	—	2	2	no	—
840	Dic₂₆	—	2	1	no	—
841	Dic₂₆	—	2	1	no	—
842	Dic₂₆	—	8	1	no	—
843	Dic₂₆	—	8	1	no	—
844	C₈×C₁₃	—	2	1	no	—
845	C₈×C₁₃	—	2	1	no	—
846	C₈×C₁₃	—	2	1	no	—
847	C₈×C₁₃	—	2	1	no	—
848	#1055	—	2	1	no	—
849	#1055	—	2	1	no	—
850	#1055	—	2	1	no	—
851	#1055	C₂×#41	1	2	yes	—
852	C₂×#135	—	13	1	no	—
853	C₂²×D₈	—	13	1	no	—
854	C₂²×D₈	—	13	1	no	—
855	#559	—	13	1	no	—
856	#559	—	13	1	no	—
857	#554	—	13	1	no	—
858	#554	—	13	1	no	—
859	#554	—	13	1	no	—
860	#554	—	13	1	no	—
861	#553	—	13	1	no	—
862	#553	—	13	1	no	—
863	#553	—	13	1	no	—
864	#553	—	26	1	no	—
865	#553	—	26	1	no	—
866	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
867	#551	—	26	1	no	—
868	#551	—	26	1	no	—
869	#551	—	26	1	no	—
870	#551	—	26	1	no	—
871	#546	—	13	1	no	—
872	#546	—	13	1	no	—
873	#546	—	13	1	no	—
874	#546	—	26	1	no	—
875	#546	—	26	1	no	—
876	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
877	D₄²	—	13	1	no	—
878	D₄²	—	13	1	no	—
879	#532	—	13	1	no	—
880	#532	—	13	1	no	—
881	#529	—	13	1	no	—
882	#529	—	13	1	no	—
883	#529	—	13	1	no	—
884	#529	—	13	1	no	—
885	#529	—	26	1	no	—
886	#529	—	26	1	no	—
887	#525	—	26	1	no	—
888	#525	—	26	1	no	—
889	#525	—	26	1	no	—
890	#525	—	26	1	no	—
891	C₄×#41	—	13	1	no	—
892	C₄×#41	—	13	1	no	—
893	C₄×#41	—	13	1	no	—
894	C₂×C₄×D₄	—	13	1	no	—
895	C₂×C₄×D₄	—	13	1	no	—
896	C₂×C₄×D₄	—	13	1	no	—
897	C₂×C₄×D₄	—	13	1	no	—
898	C₂×C₄×D₄	—	26	1	no	—
899	C₂×C₄×D₄	—	26	1	no	—
900	#500	—	13	1	no	—
901	#499	—	13	1	no	—
902	#499	—	13	1	no	—
903	#495	—	13	1	no	—
904	#495	—	13	1	no	—
905	#493	—	13	1	no	—
906	#488	—	13	1	no	—
907	#488	—	13	1	no	—
908	#488	—	13	1	no	—
909	#488	C₂×D₁₃	1	1	yes	characteristic, complemented
910	#486	—	13	1	no	—
911	#486	—	13	1	no	—
912	#484	—	13	1	no	—
913	#484	—	13	1	no	—
914	#484	—	13	1	no	—
915	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
916	#482	—	13	1	no	—
917	#482	—	13	1	no	—
918	#482	—	13	1	no	—
919	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
920	#481	—	13	1	no	—
921	#481	—	13	1	no	—
922	#481	—	13	1	no	—
923	#481	—	13	1	no	—
924	#478	—	13	1	no	—
925	#478	—	13	1	no	—
926	#478	—	13	1	no	—
927	#478	—	13	1	no	—
928	#478	—	13	1	no	—
929	#478	—	13	1	no	—
930	#478	—	13	1	no	—
931	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#477	—	13	1	no	—
933	#477	—	13	1	no	—
934	#476	—	13	1	no	—
935	#476	—	13	1	no	—
936	#467	—	13	1	no	—
937	#467	—	13	1	no	—
938	#466	—	13	1	no	—
939	#466	—	13	1	no	—
940	#466	—	13	1	no	—
941	#466	—	13	1	no	—
942	#466	—	13	1	no	—
943	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
944	#465	—	13	1	no	—
945	#465	—	13	1	no	—
946	#465	—	13	1	no	—
947	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#463	—	13	1	no	—
949	#463	—	13	1	no	—
950	#463	—	13	1	no	—
951	#463	—	13	1	no	—
952	#463	—	13	1	no	—
953	#463	—	13	1	no	—
954	#463	—	13	1	no	—
955	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
956	#460	—	13	1	no	—
957	#460	—	13	1	no	—
958	#459	—	13	1	no	—
959	#459	—	13	1	no	—
960	#450	—	13	1	no	—
961	#450	—	13	1	no	—
962	#450	—	13	1	no	—
963	#450	—	13	1	no	—
964	#449	—	13	1	no	—
965	#449	—	13	1	no	—
966	#449	—	13	1	no	—
967	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#447	—	13	1	no	—
969	#447	—	13	1	no	—
970	#447	—	13	1	no	—
971	#447	C₂×D₁₃	1	1	yes	characteristic
972	C₈×Q₈	—	13	1	no	—
973	C₈×Q₈	—	13	1	no	—
974	C₄×Q₁₆	—	13	1	no	—
975	C₄×Q₁₆	—	13	1	no	—
976	C₄×SD₁₆	—	13	1	no	—
977	C₄×SD₁₆	—	13	1	no	—
978	C₄×SD₁₆	—	13	1	no	—
979	C₄×SD₁₆	—	13	1	no	—
980	C₄×SD₁₆	—	13	1	no	—
981	C₄×SD₁₆	—	13	1	no	—
982	C₄×SD₁₆	—	13	1	no	—
983	C₄×SD₁₆	—	13	1	no	—
984	C₄×D₈	—	13	1	no	—
985	C₄×D₈	—	13	1	no	—
986	C₄×D₈	—	13	1	no	—
987	C₄×D₈	—	13	1	no	—
988	C₄×D₈	—	13	1	no	—
989	C₄×D₈	—	13	1	no	—
990	C₄×D₈	—	13	1	no	—
991	C₄×D₈	—	13	1	no	—
992	C₄×D₈	—	13	1	no	—
993	C₄×D₈	—	13	1	no	—
994	C₄×D₈	—	13	1	no	—
995	C₄×D₈	—	13	1	no	—
996	C₄×D₈	—	13	1	no	—
997	C₄×D₈	—	13	1	no	—
998	C₄×D₈	—	13	1	no	—
999	C₄×D₈	—	13	1	no	—
1000	C₄×D₈	—	13	1	no	—
1001	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	C₈×D₄	—	13	1	no	—
1003	C₈×D₄	—	13	1	no	—
1004	C₈×D₄	—	13	1	no	—
1005	C₈×D₄	—	13	1	no	—
1006	C₈×D₄	—	13	1	no	—
1007	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	#431	—	13	1	no	—
1009	#431	—	13	1	no	—
1010	#431	—	13	1	no	—
1011	#427	—	13	1	no	—
1012	C₂×#107	—	13	1	no	—
1013	C₂×#107	—	13	1	no	—
1014	#416	—	13	1	no	—
1015	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1016	C₂×#102	—	13	1	no	—
1017	C₂×#102	—	13	1	no	—
1018	C₂×#102	—	13	1	no	—
1019	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1020	C₂×C₄×C₈	—	13	1	no	—
1021	C₂×C₄×C₈	—	13	1	no	—
1022	C₂×C₄×C₈	—	13	1	no	—
1023	C₂²×C₁₃	—	2	1	no	—
1024	C₂²×C₁₃	—	2	1	no	—
1025	C₂²×C₁₃	—	2	1	no	—
1026	C₂²×C₁₃	—	2	2	no	—
1027	C₂²×C₁₃	—	2	1	no	—
1028	C₂²×C₁₃	—	2	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	—	4	1	no	—
1033	C₂²×C₁₃	—	4	1	no	—
1034	C₂²×C₁₃	—	4	1	no	—
1035	C₂²×C₁₃	—	4	1	no	—
1036	C₂²×C₁₃	—	4	1	no	—
1037	C₂²×C₁₃	—	8	4	no	—
1038	C₂²×C₁₃	C₂×#135	1	2	yes	—
1039	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1040	C₂×D₁₃	—	2	1	no	—
1041	C₂×D₁₃	—	2	1	no	—
1042	C₂×D₁₃	—	2	2	no	—
1043	C₂×D₁₃	—	4	1	no	—
1044	C₂×D₁₃	—	4	1	no	—
1045	C₂×D₁₃	—	4	1	no	—
1046	C₂×D₁₃	—	4	1	no	—
1047	C₂×D₁₃	—	4	1	no	—
1048	C₂×D₁₃	—	4	1	no	—
1049	C₂×D₁₃	—	4	1	no	—
1050	C₂×D₁₃	—	4	1	no	—
1051	C₂×D₁₃	—	8	4	no	—
1052	C₂×D₁₃	—	8	4	no	—
1053	C₂×D₁₃	—	8	4	no	—
1054	C₂×D₁₃	C₂×#135	1	2	yes	—
1055	C₄×C₁₃	—	2	1	no	—
1056	C₄×C₁₃	—	2	1	no	—
1057	C₄×C₁₃	—	2	1	no	—
1058	C₄×C₁₃	—	2	1	no	—
1059	C₄×C₁₃	—	4	1	no	—
1060	C₄×C₁₃	—	4	1	no	—
1061	C₄×C₁₃	—	4	1	no	—
1062	C₄×C₁₃	—	4	1	no	—
1063	C₄×C₁₃	—	4	1	no	—
1064	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1065	C₄×C₁₃	#585	1	1	yes	characteristic
1066	Dic₁₃	—	2	1	no	—
1067	Dic₁₃	—	2	1	no	—
1068	Dic₁₃	—	2	1	no	—
1069	Dic₁₃	—	2	1	no	—
1070	Dic₁₃	—	2	1	no	—
1071	Dic₁₃	—	4	1	no	—
1072	Dic₁₃	—	4	1	no	—
1073	Dic₁₃	—	4	1	no	—
1074	Dic₁₃	—	4	1	no	—
1075	Dic₁₃	—	4	1	no	—
1076	Dic₁₃	C₂×#135	1	2	yes	—
1077	Dic₁₃	#576	1	2	yes	—
1078	C₂×#41	—	13	1	no	—
1079	C₂×#41	—	13	1	no	—
1080	C₂×#41	—	26	1	no	—
1081	C₂×#41	—	26	1	no	—
1082	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1083	C₂²×D₄	—	13	1	no	—
1084	C₂²×D₄	—	13	1	no	—
1085	C₂²×D₄	—	13	1	no	—
1086	C₂²×D₄	—	26	1	no	—
1087	C₂²×D₄	—	26	1	no	—
1088	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1089	C₂³×C₄	—	26	1	no	—
1090	C₂³×C₄	—	26	1	no	—
1091	C₂³×C₄	—	26	1	no	—
1092	C₂³×C₄	—	26	1	no	—
1093	#135	—	26	4	no	—
1094	C₂×Q₁₆	—	13	1	no	—
1095	C₂×SD₁₆	—	13	1	no	—
1096	C₂×SD₁₆	—	13	1	no	—
1097	C₂×SD₁₆	—	13	1	no	—
1098	C₂×SD₁₆	—	13	1	no	—
1099	C₂×SD₁₆	—	13	1	no	—
1100	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂×D₈	—	13	1	no	—
1102	C₂×D₈	—	13	1	no	—
1103	C₂×D₈	—	13	1	no	—
1104	C₂×D₈	—	13	1	no	—
1105	C₂×D₈	—	13	1	no	—
1106	C₂×D₈	—	13	1	no	—
1107	C₂×D₈	—	13	1	no	—
1108	C₂×D₈	—	26	4	no	—
1109	C₂×D₈	—	26	4	no	—
1110	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1111	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1112	C₂²×C₈	—	13	1	no	—
1113	C₂²×C₈	—	13	1	no	—
1114	C₂²×C₈	—	13	1	no	—
1115	C₂²×C₈	—	13	1	no	—
1116	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1117	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1118	C₄⋊Q₈	—	13	1	no	—
1119	C₄⋊Q₈	—	13	1	no	—
1120	#127	—	13	1	no	—
1121	#127	—	13	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	26	1	no	—
1124	#126	—	26	1	no	—
1125	#126	—	26	1	no	—
1126	#126	—	26	1	no	—
1127	#126	—	26	1	no	—
1128	#126	—	26	1	no	—
1129	#126	—	26	1	no	—
1130	#125	—	13	1	no	—
1131	#125	—	13	1	no	—
1132	#125	—	13	1	no	—
1133	#125	—	26	1	no	—
1134	#125	—	26	1	no	—
1135	#125	C₂²×D₁₃	1	1	yes	characteristic
1136	#124	—	13	1	no	—
1137	#124	—	13	1	no	—
1138	#124	—	13	1	no	—
1139	#124	—	26	1	no	—
1140	#124	—	26	1	no	—
1141	#124	—	26	1	no	—
1142	#124	—	26	1	no	—
1143	#124	C₂²×D₁₃	1	1	yes	characteristic
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	26	1	no	—
1147	#123	—	26	1	no	—
1148	#123	—	26	1	no	—
1149	#123	—	26	1	no	—
1150	#123	—	26	1	no	—
1151	#123	—	26	1	no	—
1152	#123	—	26	1	no	—
1153	#123	—	26	1	no	—
1154	#123	—	26	1	no	—
1155	#123	—	26	1	no	—
1156	#123	—	26	1	no	—
1157	#123	—	26	1	no	—
1158	#123	—	26	1	no	—
1159	#123	—	26	1	no	—
1160	C₂²⋊Q₈	—	13	1	no	—
1161	C₂²⋊Q₈	—	13	1	no	—
1162	C₂²⋊Q₈	—	13	1	no	—
1163	C₂²⋊Q₈	—	26	1	no	—
1164	C₂²⋊Q₈	—	26	1	no	—
1165	C₂²⋊Q₈	—	26	1	no	—
1166	C₂²⋊Q₈	—	26	1	no	—
1167	C₂²⋊Q₈	—	26	1	no	—
1168	C₂²⋊Q₈	—	26	1	no	—
1169	C₂²⋊Q₈	—	26	1	no	—
1170	C₂²⋊Q₈	—	26	1	no	—
1171	C₂²⋊Q₈	—	26	1	no	—
1172	C₂²⋊Q₈	—	26	1	no	—
1173	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	13	1	no	—
1177	#121	—	13	1	no	—
1178	#121	—	13	1	no	—
1179	#121	—	13	1	no	—
1180	#121	—	13	1	no	—
1181	#121	—	26	1	no	—
1182	#121	—	26	1	no	—
1183	#121	—	26	1	no	—
1184	#121	—	26	1	no	—
1185	#121	—	26	1	no	—
1186	#121	—	26	1	no	—
1187	#121	—	26	1	no	—
1188	#121	—	26	1	no	—
1189	#121	—	26	1	no	—
1190	#121	—	26	1	no	—
1191	#121	C₂²×D₁₃	1	1	yes	characteristic
1192	#121	C₂²×D₁₃	1	1	yes	characteristic
1193	#121	C₂²×D₁₃	1	1	yes	characteristic
1194	#120	—	2	1	no	—
1195	#120	—	26	1	no	—
1196	#120	—	26	1	no	—
1197	#120	—	26	1	no	—
1198	#120	—	26	1	no	—
1199	#120	—	26	1	no	—
1200	#120	—	26	1	no	—
1201	#120	—	26	1	no	—
1202	C₄×Q₈	—	13	1	no	—
1203	C₄×Q₈	—	13	1	no	—
1204	C₄×Q₈	—	13	1	no	—
1205	C₄×Q₈	—	13	1	no	—
1206	C₄×Q₈	—	13	1	no	—
1207	C₄×Q₈	—	13	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	13	1	no	—
1210	C₄×D₄	—	13	1	no	—
1211	C₄×D₄	—	13	1	no	—
1212	C₄×D₄	—	13	1	no	—
1213	C₄×D₄	—	13	1	no	—
1214	C₄×D₄	—	13	1	no	—
1215	C₄×D₄	—	13	1	no	—
1216	C₄×D₄	—	13	1	no	—
1217	C₄×D₄	—	13	1	no	—
1218	C₄×D₄	—	13	1	no	—
1219	C₄×D₄	—	13	1	no	—
1220	C₄×D₄	—	13	1	no	—
1221	C₄×D₄	—	13	1	no	—
1222	C₄×D₄	—	13	1	no	—
1223	C₄×D₄	—	13	1	no	—
1224	C₄×D₄	—	13	1	no	—
1225	C₄×D₄	—	13	1	no	—
1226	C₄×D₄	—	13	1	no	—
1227	C₄×D₄	—	13	1	no	—
1228	C₄×D₄	—	26	1	no	—
1229	C₄×D₄	—	26	1	no	—
1230	C₄×D₄	—	26	1	no	—
1231	C₄×D₄	—	26	1	no	—
1232	C₄×D₄	—	26	1	no	—
1233	C₄×D₄	—	26	1	no	—
1234	C₄×D₄	—	26	1	no	—
1235	C₄×D₄	—	26	1	no	—
1236	C₄×D₄	—	26	1	no	—
1237	C₄×D₄	—	26	1	no	—
1238	C₄×D₄	—	26	1	no	—
1239	C₄×D₄	—	26	1	no	—
1240	C₄×D₄	—	26	1	no	—
1241	C₄×D₄	—	26	1	no	—
1242	C₄×D₄	—	26	1	no	—
1243	C₄×D₄	—	26	1	no	—
1244	C₄×D₄	—	26	1	no	—
1245	C₄×D₄	—	26	1	no	—
1246	C₄×D₄	—	26	1	no	—
1247	C₄×D₄	—	26	1	no	—
1248	C₄×D₄	—	26	1	no	—
1249	C₄×D₄	—	26	1	no	—
1250	C₄×D₄	—	26	1	no	—
1251	C₄×D₄	—	26	1	no	—
1252	C₄×D₄	—	26	1	no	—
1253	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1254	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1255	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1256	#117	—	13	1	no	—
1257	#117	—	13	1	no	—
1258	#117	—	13	1	no	—
1259	#117	—	13	1	no	—
1260	#117	—	26	1	no	—
1261	#117	—	26	1	no	—
1262	#117	—	26	1	no	—
1263	#117	—	26	1	no	—
1264	#117	—	26	1	no	—
1265	#117	—	26	1	no	—
1266	#117	C₂²×D₁₃	1	1	yes	characteristic
1267	C₂×C₄⋊C₄	—	13	1	no	—
1268	C₂×C₄⋊C₄	—	13	1	no	—
1269	C₂×C₄⋊C₄	—	13	1	no	—
1270	C₂×C₄⋊C₄	—	26	1	no	—
1271	C₂×C₄⋊C₄	—	26	1	no	—
1272	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1273	C₂×C₂²⋊C₄	—	2	1	no	—
1274	C₂×C₂²⋊C₄	—	26	1	no	—
1275	C₂×C₂²⋊C₄	—	26	1	no	—
1276	C₂×C₂²⋊C₄	—	26	1	no	—
1277	C₂×C₂²⋊C₄	—	26	1	no	—
1278	C₂×C₂²⋊C₄	—	26	1	no	—
1279	C₂×C₂²⋊C₄	—	26	1	no	—
1280	C₂×C₂²⋊C₄	—	26	1	no	—
1281	C₂×C₄²	—	13	1	no	—
1282	C₂×C₄²	—	13	1	no	—
1283	C₂×C₄²	—	13	1	no	—
1284	C₂×C₄²	—	26	1	no	—
1285	C₂×C₄²	—	26	1	no	—
1286	#107	—	13	1	no	—
1287	#107	—	13	1	no	—
1288	#107	—	13	1	no	—
1289	#107	—	13	1	no	—
1290	#107	—	13	1	no	—
1291	#107	—	13	1	no	—
1292	#107	—	13	1	no	—
1293	#107	—	13	1	no	—
1294	#107	C₂²×D₁₃	1	1	yes	characteristic
1295	#107	C₂²×D₁₃	1	1	yes	characteristic
1296	#106	—	13	1	no	—
1297	#106	—	13	1	no	—
1298	#106	—	13	1	no	—
1299	#106	—	13	1	no	—
1300	#106	—	13	1	no	—
1301	#106	C₂²×D₁₃	1	1	yes	characteristic
1302	C₄⋊C₈	—	13	1	no	—
1303	C₄⋊C₈	—	13	1	no	—
1304	C₄⋊C₈	—	13	1	no	—
1305	C₄⋊C₈	—	13	1	no	—
1306	C₄⋊C₈	—	13	1	no	—
1307	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1308	#103	—	13	1	no	—
1309	#103	—	13	1	no	—
1310	#103	—	13	1	no	—
1311	#103	—	13	1	no	—
1312	#103	—	13	1	no	—
1313	#103	C₂²×D₁₃	1	1	yes	characteristic
1314	#103	C₂²×D₁₃	1	1	yes	characteristic
1315	#103	C₂²×D₁₃	1	1	yes	characteristic
1316	#102	—	13	1	no	—
1317	#102	—	13	1	no	—
1318	#102	—	13	1	no	—
1319	#102	—	13	1	no	—
1320	#102	—	13	1	no	—
1321	#102	—	13	1	no	—
1322	#102	—	13	1	no	—
1323	#102	—	13	1	no	—
1324	#102	—	13	1	no	—
1325	#102	—	13	1	no	—
1326	#102	—	13	1	no	—
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	C₂²×D₁₃	1	1	yes	characteristic
1334	#102	C₂²×D₁₃	1	1	yes	characteristic
1335	#102	C₂²×D₁₃	1	1	yes	characteristic
1336	#102	C₂²×D₁₃	1	1	yes	characteristic
1337	#102	C₂²×D₁₃	1	1	yes	characteristic
1338	#102	C₂²×D₁₃	1	1	yes	characteristic
1339	#102	C₂²×D₁₃	1	1	yes	characteristic
1340	C₂²⋊C₈	—	13	1	no	—
1341	C₂²⋊C₈	—	13	1	no	—
1342	C₂²⋊C₈	—	13	1	no	—
1343	C₂²⋊C₈	—	13	1	no	—
1344	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1345	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1346	C₄×C₈	—	13	1	no	—
1347	C₄×C₈	—	13	1	no	—
1348	C₄×C₈	—	13	1	no	—
1349	C₄×C₈	—	13	1	no	—
1350	C₄×C₈	—	13	1	no	—
1351	C₄×C₈	—	13	1	no	—
1352	C₄×C₈	—	13	1	no	—
1353	C₄×C₈	—	13	1	no	—
1354	C₄×C₈	—	13	1	no	—
1355	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1356	C₂×C₁₃	—	2	2	no	—
1357	C₂×C₁₃	—	4	2	no	—
1358	C₂×C₁₃	—	4	1	no	—
1359	C₂×C₁₃	—	8	1	no	—
1360	C₂×C₁₃	—	8	1	no	—
1361	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1362	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1363	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1364	D₁₃	—	2	2	no	—
1365	D₁₃	—	4	2	no	—
1366	D₁₃	—	8	1	no	—
1367	D₁₃	—	8	1	no	—
1368	C₂⁴	—	2	1	no	—
1369	C₂⁴	—	26	1	no	—
1370	C₂⁴	—	26	1	no	—
1371	C₂⁴	—	26	1	no	—
1372	#41	—	2	2	no	—
1373	#41	—	4	1	no	—
1374	#41	—	26	2	no	—
1375	#41	—	26	4	no	—
1376	#41	—	52	1	no	—
1377	#41	—	104	2	no	—
1378	#41	—	104	2	no	—
1379	C₂×Q₈	—	13	1	no	—
1380	C₂×Q₈	—	13	1	no	—
1381	C₂×Q₈	—	26	1	no	—
1382	C₂×Q₈	—	26	1	no	—
1383	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1384	C₂×D₄	—	2	2	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	2	1	no	—
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	4	1	no	—
1391	C₂×D₄	—	13	1	no	—
1392	C₂×D₄	—	13	1	no	—
1393	C₂×D₄	—	13	1	no	—
1394	C₂×D₄	—	13	1	no	—
1395	C₂×D₄	—	13	1	no	—
1396	C₂×D₄	—	26	2	no	—
1397	C₂×D₄	—	26	1	no	—
1398	C₂×D₄	—	26	1	no	—
1399	C₂×D₄	—	26	1	no	—
1400	C₂×D₄	—	26	1	no	—
1401	C₂×D₄	—	26	1	no	—
1402	C₂×D₄	—	26	1	no	—
1403	C₂×D₄	—	26	1	no	—
1404	C₂×D₄	—	26	2	no	—
1405	C₂×D₄	—	26	2	no	—
1406	C₂×D₄	—	26	1	no	—
1407	C₂×D₄	—	26	1	no	—
1408	C₂×D₄	—	26	1	no	—
1409	C₂×D₄	—	26	1	no	—
1410	C₂×D₄	—	26	1	no	—
1411	C₂×D₄	—	26	1	no	—
1412	C₂×D₄	—	52	1	no	—
1413	C₂×D₄	—	52	1	no	—
1414	C₂×D₄	—	52	1	no	—
1415	C₂×D₄	—	52	4	no	—
1416	C₂×D₄	—	52	4	no	—
1417	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1418	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1419	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1420	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	2	1	no	—
1425	C₂²×C₄	—	13	1	no	—
1426	C₂²×C₄	—	13	1	no	—
1427	C₂²×C₄	—	13	1	no	—
1428	C₂²×C₄	—	13	1	no	—
1429	C₂²×C₄	—	13	1	no	—
1430	C₂²×C₄	—	13	1	no	—
1431	C₂²×C₄	—	13	1	no	—
1432	C₂²×C₄	—	26	1	no	—
1433	C₂²×C₄	—	26	1	no	—
1434	C₂²×C₄	—	26	1	no	—
1435	C₂²×C₄	—	26	1	no	—
1436	C₂²×C₄	—	26	1	no	—
1437	C₂²×C₄	—	26	1	no	—
1438	C₂²×C₄	—	26	1	no	—
1439	C₂²×C₄	—	26	1	no	—
1440	C₂²×C₄	—	26	1	no	—
1441	C₂²×C₄	—	26	1	no	—
1442	C₂²×C₄	—	26	1	no	—
1443	C₂²×C₄	—	26	1	no	—
1444	C₂²×C₄	—	26	1	no	—
1445	C₂²×C₄	—	26	1	no	—
1446	C₂²×C₄	—	26	1	no	—
1447	C₂²×C₄	—	26	1	no	—
1448	C₂²×C₄	—	26	1	no	—
1449	C₂²×C₄	—	26	1	no	—
1450	C₂²×C₄	—	104	2	no	—
1451	C₂²×C₄	—	104	2	no	—
1452	C₂²×C₄	—	104	2	no	—
1453	C₂²×C₄	—	104	2	no	—
1454	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1455	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1456	Q₁₆	—	26	2	no	—
1457	SD₁₆	—	4	1	no	—
1458	SD₁₆	—	26	2	no	—
1459	SD₁₆	—	26	2	no	—
1460	SD₁₆	—	52	1	no	—
1461	SD₁₆	—	52	1	no	—
1462	SD₁₆	—	52	1	no	—
1463	D₈	—	2	2	no	—
1464	D₈	—	4	1	no	—
1465	D₈	—	13	4	no	—
1466	D₈	—	26	2	no	—
1467	D₈	—	26	2	no	—
1468	D₈	—	26	2	no	—
1469	D₈	—	26	2	no	—
1470	D₈	—	26	2	no	—
1471	D₈	—	52	1	no	—
1472	C₂×C₈	—	4	1	no	—
1473	C₂×C₈	—	4	1	no	—
1474	C₂×C₈	—	13	1	no	—
1475	C₂×C₈	—	13	1	no	—
1476	C₂×C₈	—	13	1	no	—
1477	C₂×C₈	—	13	1	no	—
1478	C₂×C₈	—	26	2	no	—
1479	C₂×C₈	—	26	2	no	—
1480	C₂×C₈	—	26	2	no	—
1481	C₂×C₈	—	52	1	no	—
1482	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1483	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1484	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	13	1	no	—
1491	C₄⋊C₄	—	13	1	no	—
1492	C₄⋊C₄	—	13	1	no	—
1493	C₄⋊C₄	—	13	1	no	—
1494	C₄⋊C₄	—	13	1	no	—
1495	C₄⋊C₄	—	13	1	no	—
1496	C₄⋊C₄	—	13	1	no	—
1497	C₄⋊C₄	—	13	1	no	—
1498	C₄⋊C₄	—	13	1	no	—
1499	C₄⋊C₄	—	26	1	no	—
1500	C₄⋊C₄	—	26	1	no	—
1501	C₄⋊C₄	—	26	1	no	—
1502	C₄⋊C₄	—	26	1	no	—
1503	C₄⋊C₄	—	26	1	no	—
1504	C₄⋊C₄	—	26	1	no	—
1505	C₄⋊C₄	—	26	1	no	—
1506	C₄⋊C₄	—	26	1	no	—
1507	C₄⋊C₄	—	26	1	no	—
1508	C₄⋊C₄	—	26	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1518	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1519	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1520	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1521	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	13	1	no	—
1532	C₂²⋊C₄	—	13	1	no	—
1533	C₂²⋊C₄	—	13	1	no	—
1534	C₂²⋊C₄	—	13	1	no	—
1535	C₂²⋊C₄	—	26	1	no	—
1536	C₂²⋊C₄	—	26	1	no	—
1537	C₂²⋊C₄	—	26	1	no	—
1538	C₂²⋊C₄	—	26	1	no	—
1539	C₂²⋊C₄	—	26	1	no	—
1540	C₂²⋊C₄	—	26	1	no	—
1541	C₂²⋊C₄	—	26	1	no	—
1542	C₂²⋊C₄	—	26	1	no	—
1543	C₂²⋊C₄	—	26	1	no	—
1544	C₂²⋊C₄	—	26	1	no	—
1545	C₂²⋊C₄	—	26	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1565	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1566	C₄²	—	2	1	no	—
1567	C₄²	—	13	1	no	—
1568	C₄²	—	13	1	no	—
1569	C₄²	—	13	1	no	—
1570	C₄²	—	13	1	no	—
1571	C₄²	—	13	1	no	—
1572	C₄²	—	13	1	no	—
1573	C₄²	—	13	1	no	—
1574	C₄²	—	13	1	no	—
1575	C₄²	—	13	1	no	—
1576	C₄²	—	26	1	no	—
1577	C₄²	—	26	1	no	—
1578	C₄²	—	26	1	no	—
1579	C₄²	—	26	1	no	—
1580	C₄²	—	26	1	no	—
1581	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1582	C₁₃	#61431	1	1	yes	characteristic, complemented, Sylow
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	4	2	no	—
1587	C₂³	—	4	2	no	—
1588	C₂³	—	8	1	no	—
1589	C₂³	—	13	1	no	—
1590	C₂³	—	26	1	no	—
1591	C₂³	—	26	1	no	—
1592	C₂³	—	26	1	no	—
1593	C₂³	—	52	2	no	—
1594	C₂³	—	52	2	no	—
1595	C₂³	—	52	2	no	—
1596	C₂³	—	52	2	no	—
1597	C₂³	—	52	2	no	—
1598	C₂³	—	52	2	no	—
1599	C₂³	—	104	1	no	—
1600	C₂³	—	104	1	no	—
1601	C₂³	—	104	1	no	—
1602	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1603	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1604	Q₈	—	2	1	no	—
1605	Q₈	—	2	1	no	—
1606	Q₈	—	26	2	no	—
1607	Q₈	—	26	1	no	—
1608	Q₈	—	26	1	no	—
1609	Q₈	—	104	1	no	—
1610	Q₈	—	104	1	no	—
1611	D₄	—	2	2	no	—
1612	D₄	—	2	1	no	—
1613	D₄	—	2	1	no	—
1614	D₄	—	2	1	no	—
1615	D₄	—	2	1	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	4	2	no	—
1618	D₄	—	4	2	no	—
1619	D₄	—	4	2	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	—	13	4	no	—
1623	D₄	—	13	2	no	—
1624	D₄	—	26	2	no	—
1625	D₄	—	26	1	no	—
1626	D₄	—	26	1	no	—
1627	D₄	—	26	1	no	—
1628	D₄	—	26	1	no	—
1629	D₄	—	26	1	no	—
1630	D₄	—	52	2	no	—
1631	D₄	—	52	2	no	—
1632	D₄	—	52	2	no	—
1633	D₄	—	52	2	no	—
1634	D₄	—	52	2	no	—
1635	D₄	—	52	2	no	—
1636	D₄	—	52	2	no	—
1637	D₄	—	52	2	no	—
1638	D₄	—	52	2	no	—
1639	D₄	—	104	1	no	—
1640	D₄	—	104	1	no	—
1641	D₄	—	104	1	no	—
1642	D₄	—	104	1	no	—
1643	D₄	#41×D₁₃	1	2	yes	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	4	2	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	13	1	no	—
1658	C₂×C₄	—	13	1	no	—
1659	C₂×C₄	—	13	1	no	—
1660	C₂×C₄	—	13	1	no	—
1661	C₂×C₄	—	13	1	no	—
1662	C₂×C₄	—	13	1	no	—
1663	C₂×C₄	—	13	1	no	—
1664	C₂×C₄	—	26	2	no	—
1665	C₂×C₄	—	26	2	no	—
1666	C₂×C₄	—	26	2	no	—
1667	C₂×C₄	—	26	2	no	—
1668	C₂×C₄	—	26	2	no	—
1669	C₂×C₄	—	26	2	no	—
1670	C₂×C₄	—	26	1	no	—
1671	C₂×C₄	—	26	1	no	—
1672	C₂×C₄	—	26	1	no	—
1673	C₂×C₄	—	26	1	no	—
1674	C₂×C₄	—	26	1	no	—
1675	C₂×C₄	—	26	1	no	—
1676	C₂×C₄	—	26	1	no	—
1677	C₂×C₄	—	52	2	no	—
1678	C₂×C₄	—	52	2	no	—
1679	C₂×C₄	—	52	2	no	—
1680	C₂×C₄	—	52	2	no	—
1681	C₂×C₄	—	52	2	no	—
1682	C₂×C₄	—	52	2	no	—
1683	C₂×C₄	—	52	2	no	—
1684	C₂×C₄	—	52	2	no	—
1685	C₂×C₄	—	52	2	no	—
1686	C₂×C₄	—	104	1	no	—
1687	C₂×C₄	—	104	1	no	—
1688	C₂×C₄	—	104	1	no	—
1689	C₂×C₄	—	104	1	no	—
1690	C₂×C₄	—	104	1	no	—
1691	C₂×C₄	—	104	1	no	—
1692	C₂×C₄	—	104	1	no	—
1693	C₂×C₄	—	104	1	no	—
1694	C₂×C₄	—	104	1	no	—
1695	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1696	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1697	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1698	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1699	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1700	C₈	—	2	1	no	—
1701	C₈	—	2	1	no	—
1702	C₈	—	2	1	no	—
1703	C₈	—	2	1	no	—
1704	C₈	—	13	2	no	—
1705	C₈	—	26	1	no	—
1706	C₈	—	26	1	no	—
1707	C₈	—	26	1	no	—
1708	C₂²	—	2	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	2	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	8	4	no	—
1723	C₂²	—	13	2	no	—
1724	C₂²	—	26	1	no	—
1725	C₂²	—	26	1	no	—
1726	C₂²	—	26	2	no	—
1727	C₂²	—	52	1	no	—
1728	C₂²	—	52	1	no	—
1729	C₂²	—	52	1	no	—
1730	C₂²	—	52	1	no	—
1731	C₂²	—	52	1	no	—
1732	C₂²	—	52	1	no	—
1733	C₂²	—	52	1	no	—
1734	C₂²	—	52	1	no	—
1735	C₂²	—	104	4	no	—
1736	C₂²	—	104	4	no	—
1737	C₂²	—	104	4	no	—
1738	C₂²	D₁₃×#135	1	2	yes	—
1739	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	4	1	no	—
1746	C₄	—	4	1	no	—
1747	C₄	—	4	1	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	13	2	no	—
1750	C₄	—	13	2	no	—
1751	C₄	—	26	1	no	—
1752	C₄	—	26	1	no	—
1753	C₄	—	26	1	no	—
1754	C₄	—	26	1	no	—
1755	C₄	—	26	1	no	—
1756	C₄	—	52	1	no	—
1757	C₄	—	52	1	no	—
1758	C₄	—	52	1	no	—
1759	C₄	—	52	1	no	—
1760	C₄	—	52	1	no	—
1761	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1762	C₄	#11719650	1	1	yes	characteristic
1763	C₂	—	2	2	no	—
1764	C₂	—	4	1	no	—
1765	C₂	—	4	2	no	—
1766	C₂	—	8	1	no	—
1767	C₂	—	8	1	no	—
1768	C₂	—	26	2	no	—
1769	C₂	—	52	2	no	—
1770	C₂	—	104	1	no	—
1771	C₂	—	104	1	no	—
1772	C₂	#13128320	1	1	yes	characteristic
1773	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1774	C₂	D₁₃×#576	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×#3297	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3297	D₁₃
hypocenter	C₁₃	#61431
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3297

Complements

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

N	H ≅ G/N	type
1. #13128443	C₂	semidirect
2. #13128441	C₂	semidirect
3. #13127843	C₂	semidirect
4. #13127698	C₂	semidirect
5. #13127497	C₂	semidirect
6. #13127493	C₂	semidirect
7. #13127232	C₂	semidirect
8. #13127231	C₂	semidirect
9. #13127223	C₂	semidirect
10. #13126688	C₂	semidirect
11. #13126687	C₂	semidirect
12. #13126681	C₂	semidirect
13. #13126656	C₂	semidirect
14. #13126655	C₂	semidirect
15. #13126519	C₂	semidirect
16. #13126517	C₂	semidirect
17. #13126506	C₂	semidirect
18. #13125410	C₂	semidirect
19. #13125405	C₂	semidirect
20. #13125399	C₂	semidirect
21. #13124891	C₂	semidirect
22. #13124889	C₂	semidirect
23. #13124888	C₂	semidirect
24. #13124886	C₂	semidirect
25. #13124882	C₂	semidirect
26. #13124878	C₂	semidirect
27. C₈×#6129	C₂	semidirect
28. #13123604	C₂	semidirect
29. C₂×#11718417	C₂	semidirect
30. C₄×D₈×D₁₃	C₂	semidirect
31. C₁₃×#3297	C₂	semidirect
32. C₁₃×#553	C₂²	semidirect
33. C₁₃×#546	C₂²	semidirect
34. #11719534	C₂²	semidirect
35. #41×Dic₁₃	C₂²	semidirect
38. C₂×D₄×Dic₁₃	C₂²	semidirect
43. #11719396	C₂²	semidirect
44. #11719395	C₂²	semidirect
45. #11719386	C₂²	semidirect
46. #11719385	C₂²	semidirect
52. #11719329	C₂²	semidirect
53. #11719319	C₂²	semidirect
54. #11719317	C₂²	semidirect
60. #11719305	C₂²	semidirect
61. #11719301	C₂²	semidirect
62. #11719301	C₂²	semidirect
65. #11719270	C₂²	semidirect
66. #11719264	C₂²	semidirect
68. #11719255	C₂²	semidirect
70. C₄×D₄×D₁₃	C₂²	semidirect
71. C₄×D₄×D₁₃	C₂²	semidirect
72. #11719244	C₂²	semidirect
74. #11719235	C₂²	semidirect
75. #11719227	C₂²	semidirect
77. C₂×#88147	C₂²	semidirect
80. C₁₃×#488	C₂²	semidirect
81. C₁₃×#484	C₂²	semidirect
82. C₁₃×#482	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#466	C₂²	semidirect
85. C₁₃×#465	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#449	C₂²	semidirect
89. C₄×C₁₃×D₈	C₂²	semidirect
90. C₈×D₄×C₁₃	C₂²	semidirect
91. C₁₃×#416	C₂²	semidirect
92. C₂×C₁₃×#102	C₂²	semidirect
93. #11718899	C₂²	semidirect
94. #11718879	C₂²	semidirect
95. #11718830	C₂²	semidirect
96. #11718829	C₂²	semidirect
97. #11718824	C₂²	semidirect
98. SD₁₆×Dic₁₃	C₂²	semidirect
100. #11718814	C₂²	semidirect
101. #11718814	C₂²	semidirect
104. D₈×Dic₁₃	C₂²	semidirect
105. D₈×Dic₁₃	C₂²	semidirect
106. #11718776	C₂²	semidirect
107. #11718775	C₂²	semidirect
108. #11718774	C₂²	semidirect
109. C₂×#88061	C₂²	semidirect
111. C₈×C₂²⋊D₁₃	C₂²	semidirect
112. C₂×C₈×Dic₁₃	C₂²	semidirect
113. C₂×C₈×Dic₁₃	C₂²	semidirect
114. #11718727	C₂²	semidirect
115. #11718725	C₂²	semidirect
116. #11718720	C₂²	semidirect
117. #11718718	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718707	C₂²	semidirect
121. #11718699	C₂²	semidirect
122. #11718699	C₂²	semidirect
123. #11718698	C₂²	semidirect
124. #11718696	C₂²	semidirect
125. #11718695	C₂²	semidirect
126. #11718677	C₂²	semidirect
128. C₄×#6104	C₂²	semidirect
129. D₄×#1055	C₂²	semidirect
130. #11718670	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718659	C₂²	semidirect
133. #11718629	C₂²	semidirect
134. C₂×#88047	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718552	C₂²	semidirect
137. #11718545	C₂²	semidirect
138. D₁₃×#107	C₂²	semidirect
139. #11718536	C₂²	semidirect
140. #11718535	C₂²	semidirect
141. #11718533	C₂²	semidirect
142. #11718533	C₂²	semidirect
143. #11718531	C₂²	semidirect
144. #11718524	C₂²	semidirect
145. #11718519	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718494	C₂²	semidirect
150. #11718491	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718480	C₂²	semidirect
153. #11718474	C₂²	semidirect
154. #11718470	C₂²	semidirect
155. #11718468	C₂²	semidirect
156. #11718461	C₂²	semidirect
157. #11718455	C₂²	semidirect
158. #11718451	C₂²	semidirect
159. #11718451	C₂²	semidirect
160. #11718449	C₂²	semidirect
161. #11718449	C₂²	semidirect
162. #11718449	C₂²	semidirect
164. #11718439	C₂²	semidirect
165. #11718438	C₂²	semidirect
166. #11718437	C₂²	semidirect
169. D₁₃×#102	C₂²	semidirect
170. D₁₃×#102	C₂²	semidirect
171. #11718429	C₂²	semidirect
172. #11718427	C₂²	semidirect
173. #11718427	C₂²	semidirect
174. #11718423	C₂²	semidirect
175. #11718422	C₂²	semidirect
176. #11718421	C₂²	semidirect
177. #11718421	C₂²	semidirect
178. #11718419	C₂²	semidirect
179. #11718419	C₂²	semidirect
180. #11718419	C₂²	semidirect
184. #11718417	C₂²	semidirect
185. #11718417	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718417	C₂²	semidirect
188. #11718417	C₂²	semidirect
189. #11718417	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718395	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. #11718383	C₂²	semidirect
197. #11718379	C₂²	semidirect
198. #11718379	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. C₄×C₈×D₁₃	C₂²	semidirect
202. C₈×Dic₂₆	C₂²	semidirect
623. #6104	#41	semidirect
708. #3297	D₁₃	semidirect
792. C₂²⋊D₁₃	#135	semidirect
866. #553	C₂×D₁₃	semidirect
876. #546	C₂×D₁₃	semidirect
909. #488	C₂×D₁₃	semidirect
915. #484	C₂×D₁₃	semidirect
919. #482	C₂×D₁₃	semidirect
931. #478	C₂×D₁₃	semidirect
943. #466	C₂×D₁₃	semidirect
947. #465	C₂×D₁₃	semidirect
955. #463	C₂×D₁₃	semidirect
967. #449	C₂×D₁₃	semidirect
1001. C₄×D₈	C₂×D₁₃	semidirect
1007. C₈×D₄	C₂×D₁₃	semidirect
1015. #416	C₂×D₁₃	semidirect
1019. C₂×#102	C₂×D₁₃	semidirect
1582. C₁₃	#61431	semidirect

Maximal subgroups

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

subgroup	index
#13128443	2
#13128441	2
#13127843	2
#13127698	2
#13127497	2
#13127493	2
#13127232	2
#13127231	2
#13127223	2
#13126688	2
#13126687	2
#13126681	2
#13126656	2
#13126655	2
#13126519	2
#13126517	2
#13126506	2
#13125410	2
#13125405	2
#13125399	2
#13124891	2
#13124889	2
#13124888	2
#13124886	2
#13124882	2
#13124878	2
C₈×#6129	2
#13123604	2
C₂×#11718417	2
C₄×D₈×D₁₃	2
C₁₃×#3297	2
#61431	13