Subgroups — #16744938

Order 3328.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128453	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128403	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127910	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127788	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127671	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127670	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127358	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127274	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127202	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127019	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126939	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126891	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126795	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126727	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126669	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126536	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126386	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126339	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125568	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125543	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125539	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125011	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124996	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124976	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124951	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124951	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123845	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123652	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123635	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718687	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3113	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#533	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
34	#11719522	C₂²	1	1	yes	characteristic
35	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
36	C₂²×#6106	C₂²	1	1	yes	characteristic
37	C₂×#88173	C₂²	1	1	yes	characteristic
38	C₂×#88172	C₂²	1	1	yes	characteristic
39	#11719439	C₂²	1	1	yes	characteristic
40	#11719437	C₂²	1	1	yes	characteristic
41	#11719435	C₂²	1	1	yes	characteristic
42	#11719431	C₂²	1	1	yes	characteristic
43	#11719400	—	2	1	no	—
44	#11719399	—	2	1	no	—
45	#11719347	C₂²	1	1	yes	characteristic
46	#11719347	C₂²	1	1	yes	characteristic
47	#11719342	—	2	1	no	—
48	#11719342	—	2	1	no	—
49	#11719335	C₂²	1	1	yes	characteristic
50	#11719335	C₂²	1	1	yes	characteristic
51	#11719286	—	2	1	no	—
52	#11719286	C₂²	1	1	yes	characteristic, complemented
53	#11719285	—	2	1	no	—
54	#11719285	—	2	1	no	—
55	#11719285	—	2	1	no	—
56	#11719285	C₂²	1	1	yes	characteristic
57	#11719285	C₂²	1	1	yes	characteristic
58	#11719285	C₂²	1	1	yes	characteristic, complemented
59	#11719283	—	2	1	no	—
60	#11719283	C₂²	1	1	yes	characteristic, complemented
61	#11719281	C₂²	1	1	yes	characteristic, complemented
62	C₄×#6131	C₂²	1	1	yes	characteristic
63	C₄×#6131	C₂²	1	1	yes	characteristic
64	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
65	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
66	#11719274	C₂²	1	1	yes	characteristic, complemented
67	#11719273	—	2	1	no	—
68	#11719273	C₂²	1	1	yes	characteristic, complemented
69	#11719229	—	2	1	no	—
70	D₁₃×#117	—	2	1	no	—
71	#11719218	—	2	1	no	—
72	#11719218	C₂²	1	1	yes	characteristic
73	#11719212	—	2	1	no	—
74	#11719212	C₂²	1	1	yes	characteristic
75	#11719184	—	2	1	no	—
76	#11719184	C₂²	1	1	yes	characteristic
77	C₄×#6127	—	2	1	no	—
78	C₄×#6127	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
80	C₁₃×#483	C₂²	1	1	yes	characteristic
81	C₁₃×#483	C₂²	1	1	yes	characteristic
82	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#451	C₂²	1	1	yes	characteristic
87	C₁₃×#451	C₂²	1	1	yes	characteristic
88	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#432	C₂²	1	1	yes	characteristic
93	C₂×#88075	C₂²	1	1	yes	characteristic
94	#11718852	C₂²	1	1	yes	characteristic
95	#11718851	C₂²	1	1	yes	characteristic
96	#11718850	C₂²	1	1	yes	characteristic, complemented
97	#11718849	C₂²	1	1	yes	characteristic, complemented
98	#11718848	C₂²	1	1	yes	characteristic
99	#11718848	C₂²	1	1	yes	characteristic
100	#11718848	C₂²	1	1	yes	characteristic, complemented
101	#11718847	C₂²	1	1	yes	characteristic, complemented
102	#11718846	C₂²	1	1	yes	characteristic
103	#11718846	C₂²	1	1	yes	characteristic
104	#11718846	C₂²	1	1	yes	characteristic, complemented
105	#11718845	C₂²	1	1	yes	characteristic, complemented
106	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
107	#11718843	C₂²	1	1	yes	characteristic, complemented
108	#11718750	C₂²	1	1	yes	characteristic, complemented
109	#11718747	C₂²	1	1	yes	characteristic, complemented
110	#11718743	C₂²	1	1	yes	characteristic, complemented
111	#11718741	C₂²	1	1	yes	characteristic, complemented
112	#11718712	C₂²	1	1	yes	characteristic
113	#11718712	C₂²	1	1	yes	characteristic
114	#11718709	C₂²	1	1	yes	characteristic
115	#11718709	C₂²	1	1	yes	characteristic
116	#11718691	C₂²	1	1	yes	characteristic, complemented
117	#11718691	C₂²	1	1	yes	characteristic, complemented
118	#11718687	C₂²	1	1	yes	characteristic
119	#11718687	C₂²	1	1	yes	characteristic
120	#11718687	C₂²	1	1	yes	characteristic
121	#11718687	C₂²	1	1	yes	characteristic
122	#11718687	C₂²	1	1	yes	characteristic
123	#11718687	C₂²	1	1	yes	characteristic
124	#11718687	C₂²	1	1	yes	characteristic
125	#11718687	C₂²	1	1	yes	characteristic
126	#11718687	C₂²	1	1	yes	characteristic, complemented
127	#11718687	C₂²	1	1	yes	characteristic, complemented
128	C₂×#88049	C₂²	1	1	yes	characteristic
129	C₂×#88047	C₂²	1	1	yes	characteristic
130	C₂×#88043	C₂²	1	1	yes	characteristic
131	#11718532	C₂²	1	1	yes	characteristic
132	#11718532	C₂²	1	1	yes	characteristic, complemented
133	#11718531	C₂²	1	1	yes	characteristic
134	#11718530	C₂²	1	1	yes	characteristic
135	#11718528	C₂²	1	1	yes	characteristic, complemented
136	#11718527	C₂²	1	1	yes	characteristic
137	#11718527	C₂²	1	1	yes	characteristic, complemented
138	#11718526	C₂²	1	1	yes	characteristic
139	#11718525	C₂²	1	1	yes	characteristic
140	#11718524	C₂²	1	1	yes	characteristic
141	#11718522	C₂²	1	1	yes	characteristic, complemented
142	#11718521	C₂²	1	1	yes	characteristic, complemented
143	#11718519	C₂²	1	1	yes	characteristic, complemented
144	#11718518	C₂²	1	1	yes	characteristic, complemented
145	#11718517	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic
147	#11718508	C₂²	1	1	yes	characteristic
148	#11718508	C₂²	1	1	yes	characteristic
149	#11718505	C₂²	1	1	yes	characteristic
150	#11718505	C₂²	1	1	yes	characteristic
151	#11718497	C₂²	1	1	yes	characteristic, complemented
152	#11718497	C₂²	1	1	yes	characteristic, complemented
153	#11718489	C₂²	1	1	yes	characteristic, complemented
154	#11718489	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic
156	#11718480	C₂²	1	1	yes	characteristic
157	#11718479	C₂²	1	1	yes	characteristic
158	#11718478	C₂²	1	1	yes	characteristic
159	#11718478	C₂²	1	1	yes	characteristic, complemented
160	#11718476	C₂²	1	1	yes	characteristic, complemented
161	#11718476	C₂²	1	1	yes	characteristic, complemented
162	#11718475	C₂²	1	1	yes	characteristic, complemented
163	#11718474	C₂²	1	1	yes	characteristic, complemented
164	#11718473	C₂²	1	1	yes	characteristic
165	#11718473	C₂²	1	1	yes	characteristic, complemented
166	#11718472	C₂²	1	1	yes	characteristic
167	#11718472	C₂²	1	1	yes	characteristic
168	#11718471	C₂²	1	1	yes	characteristic
169	#11718470	C₂²	1	1	yes	characteristic, complemented
170	#11718468	C₂²	1	1	yes	characteristic
171	#11718467	C₂²	1	1	yes	characteristic
172	#11718465	C₂²	1	1	yes	characteristic
173	#11718465	C₂²	1	1	yes	characteristic, complemented
174	#11718464	C₂²	1	1	yes	characteristic
175	#11718463	C₂²	1	1	yes	characteristic, complemented
176	#11718461	C₂²	1	1	yes	characteristic
177	#11718461	C₂²	1	1	yes	characteristic, complemented
178	#11718460	C₂²	1	1	yes	characteristic, complemented
179	#11718460	C₂²	1	1	yes	characteristic, complemented
180	#11718459	C₂²	1	1	yes	characteristic
181	#11718458	C₂²	1	1	yes	characteristic, complemented
182	#11718457	C₂²	1	1	yes	characteristic, complemented
183	#11718456	C₂²	1	1	yes	characteristic
184	#11718455	C₂²	1	1	yes	characteristic, complemented
185	#11718451	C₂²	1	1	yes	characteristic, complemented
186	#11718449	C₂²	1	1	yes	characteristic
187	#11718397	C₂²	1	1	yes	characteristic
188	#11718393	C₂²	1	1	yes	characteristic
189	#11718392	C₂²	1	1	yes	characteristic
190	#11718391	C₂²	1	1	yes	characteristic
191	#11718391	C₂²	1	1	yes	characteristic
192	#11718386	C₂²	1	1	yes	characteristic
193	#11718386	C₂²	1	1	yes	characteristic
194	#11718382	C₂²	1	1	yes	characteristic
195	#11718372	C₂²	1	1	yes	characteristic
196	#11718372	C₂²	1	1	yes	characteristic
197	#11718371	C₂²	1	1	yes	characteristic
198	#11718371	C₂²	1	1	yes	characteristic
199	#11718368	C₂²	1	1	yes	characteristic, complemented
200	#11718366	C₂²	1	1	yes	characteristic, complemented
201	#11718366	C₂²	1	1	yes	characteristic, complemented
202	D₁₃×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂×#6131	C₂³	1	1	yes	characteristic
205	C₂×#6131	C₂³	1	1	yes	characteristic
206	C₂×#6131	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×#6127	—	2	1	no	—
209	C₂×#6127	D₄	1	1	yes	characteristic
210	C₂²×D₅₂	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	—	2	1	no	—
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
216	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×#125	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	—	2	1	no	—
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₁₃×#117	—	2	1	no	—
232	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	—	2	1	no	—
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	#88201	—	2	1	no	—
237	#88201	—	2	1	no	—
238	#88201	—	2	1	no	—
239	#88201	C₂³	1	1	yes	characteristic
240	#88201	C₂³	1	1	yes	characteristic
241	#88201	C₂³	1	1	yes	characteristic
242	#88200	—	2	1	no	—
243	#88200	—	2	1	no	—
244	#88200	—	2	1	no	—
245	#88200	—	2	1	no	—
246	#88200	C₂³	1	1	yes	characteristic
247	#88200	C₂³	1	1	yes	characteristic
248	#88200	C₂³	1	1	yes	characteristic
249	#88200	C₂³	1	1	yes	characteristic
250	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
251	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
252	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
253	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
254	#88198	—	2	1	no	—
255	#88198	C₂³	1	1	yes	characteristic
256	C₂×#6107	C₂³	1	1	yes	characteristic
257	C₂×#6107	C₂³	1	1	yes	characteristic
258	C₂×#6106	—	2	4	no	—
259	C₂×#6106	C₂³	1	1	yes	characteristic
260	C₂×#6106	C₂³	1	1	yes	characteristic
261	C₂×#6106	C₂³	1	1	yes	characteristic
262	C₂×#6106	C₂³	1	1	yes	characteristic
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	C₂×#6106	C₂³	1	1	yes	characteristic
265	#88184	—	2	1	no	—
266	#88184	C₂³	1	1	yes	characteristic
267	#88183	—	2	1	no	—
268	#88183	—	2	1	no	—
269	#88183	—	2	1	no	—
270	C₄×C₂²⋊D₁₃	—	2	1	no	—
271	C₄×C₂²⋊D₁₃	—	2	1	no	—
272	C₄×C₂²⋊D₁₃	—	2	1	no	—
273	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
274	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
275	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
276	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
277	C₂×#6103	—	2	1	no	—
278	#88180	—	2	1	no	—
279	#88180	D₄	1	1	yes	characteristic
280	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
281	#88178	—	2	1	no	—
282	#88178	C₂³	1	1	yes	characteristic
283	C₂²×#1055	C₂³	1	1	yes	characteristic
284	C₂²×#1055	C₂³	1	1	yes	characteristic
285	#88173	—	2	4	no	—
286	#88172	—	2	4	no	—
287	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
288	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
289	C₂×#6095	C₂³	1	1	yes	characteristic
290	C₂×#6095	C₂³	1	1	yes	characteristic
291	C₂×#6094	C₂³	1	1	yes	characteristic
292	C₂×#6094	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
295	#88152	—	2	1	no	—
296	#88152	—	2	1	no	—
297	#88152	—	2	1	no	—
298	#88152	—	2	1	no	—
299	#88152	—	2	1	no	—
300	#88152	—	2	1	no	—
301	#88152	—	2	1	no	—
302	#88152	—	2	1	no	—
303	#88152	—	2	1	no	—
304	#88151	—	2	1	no	—
305	#88151	—	2	1	no	—
306	#88151	—	2	1	no	—
307	#88151	C₂³	1	1	yes	characteristic
308	#88150	—	2	1	no	—
309	#88150	—	2	1	no	—
310	#88150	—	2	1	no	—
311	#88149	—	2	1	no	—
312	#88149	—	2	1	no	—
313	#88149	—	2	1	no	—
314	#88149	—	2	1	no	—
315	#88149	—	2	1	no	—
316	#88149	C₂³	1	1	yes	characteristic
317	#88149	C₂³	1	1	yes	characteristic
318	#88149	C₂³	1	1	yes	characteristic
319	#88148	—	2	1	no	—
320	#88148	—	2	1	no	—
321	#88148	—	2	1	no	—
322	#88148	—	2	1	no	—
323	#88148	—	2	1	no	—
324	#88148	—	2	1	no	—
325	#88148	—	2	1	no	—
326	#88148	—	2	1	no	—
327	#88148	—	2	1	no	—
328	#88147	—	2	1	no	—
329	#88147	—	2	1	no	—
330	#88147	—	2	1	no	—
331	#88147	C₂³	1	1	yes	characteristic
332	#88147	C₂³	1	1	yes	characteristic
333	#88147	C₂³	1	1	yes	characteristic
334	#88146	—	2	1	no	—
335	#88146	—	2	1	no	—
336	#88146	—	2	1	no	—
337	#88146	—	2	1	no	—
338	#88146	—	2	1	no	—
339	#88146	C₂³	1	1	yes	characteristic
340	#88146	C₂³	1	1	yes	characteristic
341	#88146	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₃	—	2	1	no	—
343	C₄⋊C₄×D₁₃	—	2	1	no	—
344	C₄⋊C₄×D₁₃	—	2	1	no	—
345	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
346	#88144	—	2	1	no	—
347	#88144	—	2	1	no	—
348	#88144	—	2	1	no	—
349	#88144	C₂³	1	1	yes	characteristic
350	#88144	C₂³	1	1	yes	characteristic
351	#88144	C₂³	1	1	yes	characteristic
352	#88143	—	2	1	no	—
353	#88143	—	2	1	no	—
354	#88143	—	2	1	no	—
355	#88142	—	2	1	no	—
356	#88142	C₂³	1	1	yes	characteristic
357	#88141	—	2	1	no	—
358	#88141	C₂³	1	1	yes	characteristic
359	#88140	—	2	1	no	—
360	#88140	—	2	1	no	—
361	#88136	—	2	1	no	—
362	#88136	—	2	1	no	—
363	C₂²⋊C₄×D₁₃	—	2	1	no	—
364	C₂²⋊C₄×D₁₃	—	2	1	no	—
365	#88131	—	2	1	no	—
366	#88131	—	2	1	no	—
367	#88130	—	2	1	no	—
368	#88130	—	2	1	no	—
369	#88130	—	2	1	no	—
370	#88129	—	2	1	no	—
371	#88129	C₂³	1	1	yes	characteristic
372	C₄×D₅₂	—	2	1	no	—
373	C₄×D₅₂	—	2	1	no	—
374	C₄×D₅₂	—	2	1	no	—
375	C₄×D₅₂	—	2	1	no	—
376	C₄×D₅₂	—	2	1	no	—
377	C₄×D₅₂	—	2	1	no	—
378	C₄×D₅₂	—	2	1	no	—
379	C₄×D₅₂	—	2	1	no	—
380	C₄×D₅₂	—	2	1	no	—
381	C₄×D₅₂	D₄	1	1	yes	characteristic
382	C₄×D₅₂	C₂³	1	1	yes	characteristic
383	C₄×D₅₂	C₂³	1	1	yes	characteristic
384	C₄×D₅₂	C₂³	1	1	yes	characteristic
385	C₄×D₅₂	C₂³	1	1	yes	characteristic
386	C₄×D₅₂	C₂³	1	1	yes	characteristic
387	C₄×D₅₂	C₂³	1	1	yes	characteristic
388	#88126	—	2	1	no	—
389	#88126	—	2	1	no	—
390	#88126	—	2	1	no	—
391	#88126	—	2	1	no	—
392	#88126	—	2	1	no	—
393	#88126	—	2	1	no	—
394	#88126	—	2	1	no	—
395	#88126	D₄	1	1	yes	characteristic
396	#88126	D₄	1	1	yes	characteristic
397	C₄²×D₁₃	—	2	1	no	—
398	C₄²×D₁₃	—	2	1	no	—
399	C₄²×D₁₃	—	2	1	no	—
400	C₄²×D₁₃	—	2	1	no	—
401	C₄²×D₁₃	C₂³	1	1	yes	characteristic
402	C₄²×D₁₃	C₂³	1	1	yes	characteristic
403	#88124	—	2	1	no	—
404	#88124	C₂³	1	1	yes	characteristic
405	C₄×Dic₂₆	—	2	1	no	—
406	C₄×Dic₂₆	—	2	1	no	—
407	C₄×Dic₂₆	—	2	1	no	—
408	C₄×Dic₂₆	D₄	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#106	C₂³	1	1	yes	characteristic
412	C₁₃×#106	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×#103	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
420	C₁₃×#103	C₂³	1	1	yes	characteristic
421	C₁₃×#103	C₂³	1	1	yes	characteristic
422	C₁₃×#103	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×#97	C₂³	1	1	yes	characteristic
428	C₁₃×#97	C₂³	1	1	yes	characteristic
429	#88075	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88061	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88058	C₂³	1	1	yes	characteristic
448	#88058	C₂³	1	1	yes	characteristic
449	#88057	C₂³	1	1	yes	characteristic
450	#88057	C₂³	1	1	yes	characteristic
451	#88056	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88055	C₂³	1	1	yes	characteristic
454	#88055	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88050	C₂³	1	1	yes	characteristic
463	#88049	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88047	C₂³	1	1	yes	characteristic
472	#88047	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88043	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	#61455	—	13	1	no	maximal, Sylow
482	C₂³×D₁₃	—	2	1	no	—
483	C₂×Q₈×C₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	2	no	—
486	C₂×Q₈×C₁₃	—	4	1	no	—
487	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₁₃	—	2	1	no	—
492	C₂²×C₄×C₁₃	—	2	1	no	—
493	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×C₂²⋊D₁₃	—	2	1	no	—
497	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
499	C₂²×Dic₁₃	—	2	1	no	—
500	#6131	—	2	2	no	—
501	#6131	—	2	2	no	—
502	#6131	—	2	2	no	—
503	#6131	—	4	1	no	—
504	#6131	—	4	1	no	—
505	#6131	—	4	1	no	—
506	Q₈×D₁₃	—	2	2	no	—
507	Q₈×D₁₃	—	4	1	no	—
508	#6127	—	4	2	no	—
509	#6127	—	4	4	no	—
510	C₂×D₅₂	—	2	2	no	—
511	C₂×D₅₂	—	2	1	no	—
512	C₂×D₅₂	—	2	1	no	—
513	C₂×D₅₂	—	2	1	no	—
514	C₂×D₅₂	—	2	1	no	—
515	C₂×D₅₂	—	2	1	no	—
516	C₂×D₅₂	—	2	1	no	—
517	C₂×D₅₂	—	2	1	no	—
518	C₂×D₅₂	—	4	1	no	—
519	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
520	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
521	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
522	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
523	C₂×C₄×D₁₃	—	2	1	no	—
524	C₂×C₄×D₁₃	—	2	1	no	—
525	C₂×C₄×D₁₃	—	2	1	no	—
526	C₂×C₄×D₁₃	—	2	1	no	—
527	C₂×C₄×D₁₃	—	2	1	no	—
528	C₂×C₄×D₁₃	—	2	1	no	—
529	C₂×C₄×D₁₃	—	2	1	no	—
530	C₂×C₄×D₁₃	—	2	1	no	—
531	C₂×C₄×D₁₃	—	2	1	no	—
532	C₂×C₄×D₁₃	—	2	1	no	—
533	C₂×C₄×D₁₃	—	2	1	no	—
534	C₂×C₄×D₁₃	—	2	1	no	—
535	C₂×C₄×D₁₃	—	2	1	no	—
536	C₂×C₄×D₁₃	—	4	4	no	—
537	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
543	C₂×Dic₂₆	—	2	1	no	—
544	C₂×Dic₂₆	—	2	1	no	—
545	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
546	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
547	C₁₃×Q₁₆	—	2	2	no	—
548	C₁₃×Q₁₆	—	2	2	no	—
549	C₁₃×Q₁₆	—	4	1	no	—
550	C₁₃×Q₁₆	—	4	1	no	—
551	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₁₃×C₄⋊C₄	—	2	1	no	—
556	C₁₃×C₄⋊C₄	—	2	1	no	—
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
568	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
569	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
570	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₁₃×C₂²⋊C₄	—	2	1	no	—
572	C₁₃×C₂²⋊C₄	—	2	1	no	—
573	C₄²×C₁₃	—	2	1	no	—
574	C₄²×C₁₃	—	2	1	no	—
575	C₄²×C₁₃	—	2	1	no	—
576	C₄²×C₁₃	—	2	1	no	—
577	C₄²×C₁₃	—	2	1	no	—
578	C₄²×C₁₃	—	2	1	no	—
579	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
580	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
581	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂²⋊Dic₁₃	—	2	1	no	—
584	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
585	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
586	#6107	—	2	2	no	—
587	#6107	—	4	1	no	—
588	#6106	—	2	2	no	—
589	#6106	—	2	2	no	—
590	#6106	—	2	2	no	—
591	#6106	—	2	2	no	—
592	#6106	—	4	1	no	—
593	#6106	#41	1	4	yes	complemented
594	#6103	—	2	1	no	—
595	#6103	—	2	1	no	—
596	#6103	—	2	1	no	—
597	#6103	—	2	1	no	—
598	#6103	—	2	1	no	—
599	#6103	—	2	1	no	—
600	#6103	—	2	1	no	—
601	#6103	—	2	1	no	—
602	#6103	—	2	1	no	—
603	#6103	—	2	1	no	—
604	#6103	—	2	1	no	—
605	#6103	—	2	1	no	—
606	#6103	—	2	1	no	—
607	#6103	—	2	1	no	—
608	#6103	—	2	1	no	—
609	#6103	—	2	1	no	—
610	#6103	—	2	1	no	—
611	#6103	—	2	1	no	—
612	#6103	—	2	1	no	—
613	#6103	—	2	1	no	—
614	#6103	—	2	1	no	—
615	#6103	—	2	1	no	—
616	#6103	—	2	1	no	—
617	#6103	—	2	1	no	—
618	#6103	—	2	1	no	—
619	#6103	—	2	1	no	—
620	#6103	—	2	1	no	—
621	#6103	—	2	1	no	—
622	#6103	C₂×D₄	1	1	yes	characteristic
623	#6103	C₂×D₄	1	1	yes	characteristic
624	#6103	C₂×D₄	1	1	yes	characteristic
625	#6103	C₂×D₄	1	1	yes	characteristic
626	C₄⋊Dic₁₃	—	2	1	no	—
627	C₄⋊Dic₁₃	—	2	1	no	—
628	C₄⋊Dic₁₃	—	2	1	no	—
629	C₄⋊Dic₁₃	—	2	1	no	—
630	C₄⋊Dic₁₃	—	2	1	no	—
631	C₄⋊Dic₁₃	—	2	1	no	—
632	C₄⋊Dic₁₃	—	2	1	no	—
633	C₄⋊Dic₁₃	—	2	1	no	—
634	C₄⋊Dic₁₃	—	2	1	no	—
635	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
636	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
637	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
641	#6101	—	2	1	no	—
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	—	2	1	no	—
651	#6101	—	2	1	no	—
652	#6101	—	2	1	no	—
653	#6101	—	2	1	no	—
654	#6101	—	2	1	no	—
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	C₂×D₄	1	1	yes	characteristic
658	#6101	C₂×D₄	1	1	yes	characteristic
659	#6101	C₂×D₄	1	1	yes	characteristic
660	#6101	C₂×D₄	1	1	yes	characteristic
661	C₄×Dic₁₃	—	2	1	no	—
662	C₄×Dic₁₃	—	2	1	no	—
663	C₄×Dic₁₃	—	2	1	no	—
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	—	2	1	no	—
667	C₄×Dic₁₃	—	2	1	no	—
668	C₄×Dic₁₃	—	2	1	no	—
669	C₄×Dic₁₃	—	2	1	no	—
670	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
671	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
672	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
673	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
674	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
675	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
676	C₂×#1055	—	2	2	no	—
677	C₂×#1055	—	4	1	no	—
678	C₂×#1055	C₂⁴	1	1	yes	characteristic
679	C₂×#1055	C₂⁴	1	1	yes	characteristic
680	C₂×#1055	C₂⁴	1	1	yes	characteristic
681	C₂×#1055	C₂⁴	1	1	yes	characteristic
682	D₁₀₄	—	2	2	no	—
683	D₁₀₄	—	4	1	no	—
684	#6095	—	2	2	no	—
685	#6095	—	4	1	no	—
686	#6094	—	2	2	no	—
687	#6094	—	4	1	no	—
688	C₈×D₁₃	—	2	2	no	—
689	C₈×D₁₃	—	4	1	no	—
690	#3482	—	13	1	no	—
691	#3475	—	13	1	no	—
692	#3402	—	13	1	no	—
693	#3388	—	13	1	no	—
694	#3377	—	13	1	no	—
695	#3376	—	13	1	no	—
696	#3348	—	13	1	no	—
697	#3343	—	13	1	no	—
698	#3336	—	13	1	no	—
699	#3321	—	13	1	no	—
700	#3315	—	13	1	no	—
701	#3312	—	13	1	no	—
702	#3306	—	13	1	no	—
703	#3300	—	13	1	no	—
704	#3296	—	13	1	no	—
705	#3282	—	13	1	no	—
706	#3269	—	13	1	no	—
707	#3266	—	13	1	no	—
708	#3183	—	13	1	no	—
709	#3181	—	13	1	no	—
710	#3181	—	13	1	no	—
711	#3117	—	13	1	no	—
712	#3116	—	13	1	no	—
713	#3114	—	13	1	no	—
714	#3113	D₁₃	1	1	yes	characteristic, complemented
715	#3111	—	13	1	no	—
716	#3111	—	13	1	no	—
717	#2970	—	13	1	no	—
718	C₄×#137	—	13	1	no	—
719	#2943	—	13	1	no	—
720	C₂×#440	—	13	1	no	—
721	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
722	C₂²×D₁₃	—	2	1	no	—
723	C₂²×D₁₃	—	2	1	no	—
724	C₂²×D₁₃	—	2	1	no	—
725	C₂²×D₁₃	—	4	2	no	—
726	C₂²×D₁₃	—	4	2	no	—
727	C₂²×D₁₃	—	8	1	no	—
728	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
729	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	2	1	no	—
732	Q₈×C₁₃	—	2	1	no	—
733	Q₈×C₁₃	—	2	1	no	—
734	Q₈×C₁₃	—	2	1	no	—
735	Q₈×C₁₃	—	2	1	no	—
736	Q₈×C₁₃	—	2	1	no	—
737	Q₈×C₁₃	—	4	2	no	—
738	Q₈×C₁₃	—	8	1	no	—
739	Q₈×C₁₃	C₂×#41	1	2	yes	—
740	C₂×C₄×C₁₃	—	2	2	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	4	1	no	—
752	C₂×C₄×C₁₃	—	4	2	no	—
753	C₂×C₄×C₁₃	—	4	2	no	—
754	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
760	C₂²⋊D₁₃	—	2	2	no	—
761	C₂²⋊D₁₃	—	2	2	no	—
762	C₂²⋊D₁₃	—	4	2	no	—
763	C₂×Dic₁₃	—	2	1	no	—
764	C₂×Dic₁₃	—	2	1	no	—
765	C₂×Dic₁₃	—	2	1	no	—
766	C₂×Dic₁₃	—	2	1	no	—
767	C₂×Dic₁₃	—	2	1	no	—
768	C₂×Dic₁₃	—	4	2	no	—
769	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
775	D₅₂	—	2	1	no	—
776	D₅₂	—	2	1	no	—
777	D₅₂	—	2	1	no	—
778	D₅₂	—	2	1	no	—
779	D₅₂	—	2	1	no	—
780	D₅₂	—	4	1	no	—
781	D₅₂	—	4	2	no	—
782	D₅₂	—	4	2	no	—
783	D₅₂	—	4	2	no	—
784	D₅₂	—	4	2	no	—
785	D₅₂	—	4	2	no	—
786	D₅₂	—	8	1	no	—
787	D₅₂	—	8	1	no	—
788	D₅₂	C₂×#41	1	2	yes	—
789	C₄×D₁₃	—	2	1	no	—
790	C₄×D₁₃	—	2	1	no	—
791	C₄×D₁₃	—	2	1	no	—
792	C₄×D₁₃	—	2	1	no	—
793	C₄×D₁₃	—	4	1	no	—
794	C₄×D₁₃	—	4	1	no	—
795	C₄×D₁₃	—	4	1	no	—
796	C₄×D₁₃	—	4	1	no	—
797	C₄×D₁₃	—	4	2	no	—
798	C₄×D₁₃	—	4	2	no	—
799	C₄×D₁₃	—	4	2	no	—
800	C₄×D₁₃	—	4	2	no	—
801	C₄×D₁₃	—	4	2	no	—
802	C₄×D₁₃	—	4	2	no	—
803	C₄×D₁₃	—	4	2	no	—
804	C₄×D₁₃	—	4	2	no	—
805	C₄×D₁₃	—	4	2	no	—
806	C₄×D₁₃	—	4	2	no	—
807	C₄×D₁₃	—	4	2	no	—
808	C₄×D₁₃	—	8	1	no	—
809	C₄×D₁₃	—	8	1	no	—
810	Dic₂₆	—	2	1	no	—
811	Dic₂₆	—	2	1	no	—
812	Dic₂₆	—	4	1	no	—
813	Dic₂₆	—	4	2	no	—
814	Dic₂₆	—	4	2	no	—
815	C₈×C₁₃	—	2	1	no	—
816	C₈×C₁₃	—	2	1	no	—
817	C₈×C₁₃	—	2	1	no	—
818	C₈×C₁₃	—	2	1	no	—
819	#1055	—	2	1	no	—
820	#1055	—	2	1	no	—
821	#1055	—	2	1	no	—
822	#1055	C₂×#41	1	2	yes	—
823	C₂×#137	—	13	1	no	—
824	C₂×#135	—	13	1	no	—
825	C₂²×SD₁₆	—	13	1	no	—
826	#557	—	13	1	no	—
827	#556	—	13	1	no	—
828	#556	—	13	1	no	—
829	#556	—	26	1	no	—
830	#555	—	13	1	no	—
831	#554	—	13	1	no	—
832	#553	—	26	1	no	—
833	#552	—	13	1	no	—
834	#552	—	13	1	no	—
835	#552	—	13	1	no	—
836	#552	—	13	1	no	—
837	#552	—	26	1	no	—
838	#552	—	26	1	no	—
839	#552	—	26	1	no	—
840	#551	—	26	1	no	—
841	#551	—	26	1	no	—
842	D₄×Q₈	—	13	1	no	—
843	#548	—	13	1	no	—
844	#548	—	13	1	no	—
845	#547	—	13	1	no	—
846	#547	—	13	1	no	—
847	#547	—	26	1	no	—
848	#546	—	13	1	no	—
849	#546	—	13	1	no	—
850	#533	—	13	1	no	—
851	#533	—	26	1	no	—
852	#533	C₂×D₁₃	1	1	yes	characteristic
853	#529	—	13	1	no	—
854	#529	—	13	1	no	—
855	#529	—	13	1	no	—
856	#529	—	13	1	no	—
857	#529	—	26	1	no	—
858	#529	—	26	1	no	—
859	#529	—	26	1	no	—
860	#529	—	26	1	no	—
861	#525	—	26	1	no	—
862	C₄×#41	—	13	1	no	—
863	C₄×#41	—	13	1	no	—
864	C₄×#41	—	13	1	no	—
865	C₄×#41	—	13	1	no	—
866	C₄×#41	—	26	1	no	—
867	C₂×C₄×Q₈	—	13	1	no	—
868	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
869	C₂×C₄×D₄	—	13	1	no	—
870	C₂×#117	—	26	1	no	—
871	#501	—	13	1	no	—
872	#501	—	13	1	no	—
873	#499	—	13	1	no	—
874	#497	—	13	1	no	—
875	#497	—	13	1	no	—
876	#495	—	13	1	no	—
877	#491	—	13	1	no	—
878	#491	—	13	1	no	—
879	#489	—	13	1	no	—
880	#489	—	13	1	no	—
881	#488	—	13	1	no	—
882	#488	—	13	1	no	—
883	#485	—	13	1	no	—
884	#485	—	13	1	no	—
885	#485	—	13	1	no	—
886	#485	—	13	1	no	—
887	#484	—	13	1	no	—
888	#483	—	13	1	no	—
889	#483	C₂×D₁₃	1	1	yes	characteristic
890	#483	C₂×D₁₃	1	1	yes	characteristic
891	#482	—	13	1	no	—
892	#482	—	13	1	no	—
893	#481	—	13	1	no	—
894	#480	—	13	1	no	—
895	#479	—	13	1	no	—
896	#479	—	13	1	no	—
897	#479	—	13	1	no	—
898	#479	—	13	1	no	—
899	#478	—	13	1	no	—
900	#478	—	13	1	no	—
901	#478	—	13	1	no	—
902	#478	—	13	1	no	—
903	#477	—	13	1	no	—
904	#476	—	13	1	no	—
905	#475	C₂×D₁₃	1	1	yes	characteristic, complemented
906	#475	C₂×D₁₃	1	1	yes	characteristic, complemented
907	#470	—	13	1	no	—
908	#469	—	13	1	no	—
909	#468	—	13	1	no	—
910	#468	—	13	1	no	—
911	#467	—	13	1	no	—
912	#467	—	13	1	no	—
913	#467	—	13	1	no	—
914	#467	—	13	1	no	—
915	#465	—	13	1	no	—
916	#465	—	13	1	no	—
917	#465	—	13	1	no	—
918	#465	—	13	1	no	—
919	#464	—	13	1	no	—
920	#464	—	13	1	no	—
921	#464	—	13	1	no	—
922	#464	—	13	1	no	—
923	#463	—	13	1	no	—
924	#463	—	13	1	no	—
925	#463	—	13	1	no	—
926	#463	—	13	1	no	—
927	#462	—	13	1	no	—
928	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
929	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
930	#461	—	13	1	no	—
931	#452	—	13	1	no	—
932	#452	—	13	1	no	—
933	#452	—	13	1	no	—
934	#452	—	13	1	no	—
935	#451	—	13	1	no	—
936	#451	C₂×D₁₃	1	1	yes	characteristic
937	#451	C₂×D₁₃	1	1	yes	characteristic
938	#450	—	13	1	no	—
939	#449	—	13	1	no	—
940	#449	—	13	1	no	—
941	#448	—	13	1	no	—
942	#447	—	13	1	no	—
943	#446	—	13	1	no	—
944	#446	—	13	1	no	—
945	#442	—	13	1	no	—
946	#442	—	13	1	no	—
947	#442	—	13	1	no	—
948	#441	—	13	1	no	—
949	#441	—	13	1	no	—
950	#441	—	13	1	no	—
951	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
952	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
954	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
955	#440	—	13	1	no	—
956	#440	—	13	1	no	—
957	#440	—	13	1	no	—
958	#440	—	13	1	no	—
959	#440	—	13	1	no	—
960	#440	—	13	1	no	—
961	#440	—	13	1	no	—
962	#440	—	13	1	no	—
963	#440	—	13	1	no	—
964	#440	—	13	1	no	—
965	#440	—	13	1	no	—
966	#440	—	13	1	no	—
967	#440	—	13	1	no	—
968	#440	—	13	1	no	—
969	C₄×Q₁₆	—	13	1	no	—
970	C₄×Q₁₆	—	13	1	no	—
971	C₄×SD₁₆	—	13	1	no	—
972	C₄×SD₁₆	—	13	1	no	—
973	#435	—	13	1	no	—
974	#435	—	13	1	no	—
975	#435	—	13	1	no	—
976	#435	—	13	1	no	—
977	C₈×D₄	—	13	1	no	—
978	C₈×D₄	—	13	1	no	—
979	#432	—	13	1	no	—
980	#432	—	13	1	no	—
981	#432	C₂×D₁₃	1	1	yes	characteristic
982	#428	—	13	1	no	—
983	#427	—	13	1	no	—
984	C₂×#107	—	13	1	no	—
985	#419	—	13	1	no	—
986	#417	—	13	1	no	—
987	#416	—	13	1	no	—
988	#416	—	13	1	no	—
989	C₂×#103	—	13	1	no	—
990	C₂×#102	—	13	1	no	—
991	C₄×M₁₆	—	13	1	no	—
992	C₂×#97	—	13	1	no	—
993	C₂×#97	—	13	1	no	—
994	C₂²×C₁₃	—	2	1	no	—
995	C₂²×C₁₃	—	2	1	no	—
996	C₂²×C₁₃	#575	1	2	yes	—
997	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
998	C₂×D₁₃	—	2	1	no	—
999	C₂×D₁₃	—	2	1	no	—
1000	C₂×D₁₃	—	2	1	no	—
1001	C₂×D₁₃	—	2	1	no	—
1002	C₂×D₁₃	—	2	2	no	—
1003	C₂×D₁₃	—	2	1	no	—
1004	C₂×D₁₃	—	2	1	no	—
1005	C₂×D₁₃	—	4	1	no	—
1006	C₂×D₁₃	—	4	1	no	—
1007	C₂×D₁₃	—	4	1	no	—
1008	C₂×D₁₃	—	4	1	no	—
1009	C₂×D₁₃	—	4	1	no	—
1010	C₂×D₁₃	—	4	1	no	—
1011	C₂×D₁₃	—	4	1	no	—
1012	C₂×D₁₃	—	4	1	no	—
1013	C₂×D₁₃	—	8	4	no	—
1014	C₄×C₁₃	—	2	1	no	—
1015	C₄×C₁₃	—	2	1	no	—
1016	C₄×C₁₃	—	2	2	no	—
1017	C₄×C₁₃	—	2	1	no	—
1018	C₄×C₁₃	—	2	1	no	—
1019	C₄×C₁₃	—	2	1	no	—
1020	C₄×C₁₃	—	4	1	no	—
1021	C₄×C₁₃	—	4	1	no	—
1022	C₄×C₁₃	—	4	1	no	—
1023	C₄×C₁₃	—	4	1	no	—
1024	C₄×C₁₃	—	4	1	no	—
1025	C₄×C₁₃	—	4	1	no	—
1026	C₄×C₁₃	—	4	1	no	—
1027	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1028	C₄×C₁₃	#585	1	1	yes	characteristic
1029	Dic₁₃	—	2	1	no	—
1030	Dic₁₃	—	2	1	no	—
1031	Dic₁₃	—	2	1	no	—
1032	Dic₁₃	—	2	1	no	—
1033	Dic₁₃	—	2	1	no	—
1034	Dic₁₃	—	2	1	no	—
1035	Dic₁₃	—	4	1	no	—
1036	Dic₁₃	—	4	1	no	—
1037	Dic₁₃	—	4	1	no	—
1038	Dic₁₃	—	4	1	no	—
1039	Dic₁₃	—	4	1	no	—
1040	C₂×#41	—	13	1	no	—
1041	C₂×#41	—	13	1	no	—
1042	C₂×#41	—	13	1	no	—
1043	C₂×#41	—	13	1	no	—
1044	C₂×#41	—	26	1	no	—
1045	C₂²×Q₈	—	13	1	no	—
1046	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1047	C₂²×D₄	—	13	1	no	—
1048	C₂³×C₄	—	26	1	no	—
1049	#137	—	26	4	no	—
1050	#135	—	26	4	no	—
1051	C₂×Q₁₆	—	13	1	no	—
1052	C₂×Q₁₆	—	13	1	no	—
1053	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1054	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1055	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1056	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1057	C₂×SD₁₆	—	13	1	no	—
1058	C₂×SD₁₆	—	13	1	no	—
1059	C₂×SD₁₆	—	13	1	no	—
1060	C₂×SD₁₆	—	13	1	no	—
1061	C₂×SD₁₆	—	13	1	no	—
1062	C₂×SD₁₆	—	13	1	no	—
1063	C₂×SD₁₆	—	13	1	no	—
1064	C₂×SD₁₆	—	13	1	no	—
1065	C₂×SD₁₆	—	26	4	no	—
1066	C₂×D₈	—	13	1	no	—
1067	C₂×D₈	—	13	1	no	—
1068	C₂×M₁₆	—	13	1	no	—
1069	C₂×M₁₆	—	13	1	no	—
1070	C₂²×C₈	—	13	1	no	—
1071	C₂²×C₈	—	13	1	no	—
1072	C₂²×C₈	—	13	1	no	—
1073	C₂²×C₈	—	13	1	no	—
1074	C₄⋊Q₈	—	13	1	no	—
1075	C₄⋊Q₈	—	13	1	no	—
1076	C₄⋊Q₈	—	26	1	no	—
1077	C₄⋊Q₈	—	26	1	no	—
1078	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1080	#126	—	26	1	no	—
1081	#126	—	26	1	no	—
1082	#126	—	26	1	no	—
1083	#126	—	26	1	no	—
1084	#126	—	26	1	no	—
1085	#126	—	26	1	no	—
1086	#126	—	26	1	no	—
1087	#126	—	26	1	no	—
1088	#126	—	26	1	no	—
1089	#126	—	26	1	no	—
1090	#126	—	26	1	no	—
1091	#126	—	26	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	13	1	no	—
1094	#125	—	13	1	no	—
1095	#125	—	13	1	no	—
1096	#125	—	13	1	no	—
1097	#125	—	26	1	no	—
1098	#125	—	26	1	no	—
1099	#125	—	26	1	no	—
1100	#125	—	26	1	no	—
1101	#125	—	26	1	no	—
1102	#125	—	26	1	no	—
1103	#125	—	26	1	no	—
1104	#124	—	13	1	no	—
1105	#124	—	13	1	no	—
1106	#124	—	13	1	no	—
1107	#124	—	13	1	no	—
1108	#124	—	26	1	no	—
1109	#124	—	26	1	no	—
1110	#124	—	26	1	no	—
1111	#124	—	26	1	no	—
1112	#123	—	26	1	no	—
1113	#123	—	26	1	no	—
1114	#123	—	26	1	no	—
1115	#123	—	26	1	no	—
1116	#123	—	26	1	no	—
1117	#123	—	26	1	no	—
1118	#123	—	26	1	no	—
1119	#123	—	26	1	no	—
1120	#123	—	26	1	no	—
1121	#123	—	26	1	no	—
1122	#123	—	26	1	no	—
1123	#123	—	26	1	no	—
1124	#123	—	26	1	no	—
1125	#123	—	26	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	13	1	no	—
1128	C₂²⋊Q₈	—	13	1	no	—
1129	C₂²⋊Q₈	—	13	1	no	—
1130	C₂²⋊Q₈	—	13	1	no	—
1131	C₂²⋊Q₈	—	13	1	no	—
1132	C₂²⋊Q₈	—	13	1	no	—
1133	C₂²⋊Q₈	—	26	1	no	—
1134	C₂²⋊Q₈	—	26	1	no	—
1135	C₂²⋊Q₈	—	26	1	no	—
1136	C₂²⋊Q₈	—	26	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	—	26	1	no	—
1139	C₂²⋊Q₈	—	26	1	no	—
1140	C₂²⋊Q₈	—	26	1	no	—
1141	C₂²⋊Q₈	—	26	1	no	—
1142	C₂²⋊Q₈	—	26	1	no	—
1143	C₂²⋊Q₈	—	26	1	no	—
1144	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1146	#121	—	13	1	no	—
1147	#121	—	13	1	no	—
1148	#121	—	13	1	no	—
1149	#121	—	13	1	no	—
1150	#121	—	26	1	no	—
1151	#121	—	26	1	no	—
1152	#121	—	26	1	no	—
1153	#121	—	26	1	no	—
1154	#121	—	26	1	no	—
1155	#121	—	26	1	no	—
1156	#120	—	26	1	no	—
1157	#120	—	26	1	no	—
1158	C₄×Q₈	—	2	1	no	—
1159	C₄×Q₈	—	2	1	no	—
1160	C₄×Q₈	—	2	1	no	—
1161	C₄×Q₈	—	13	1	no	—
1162	C₄×Q₈	—	13	1	no	—
1163	C₄×Q₈	—	13	1	no	—
1164	C₄×Q₈	—	13	1	no	—
1165	C₄×Q₈	—	13	1	no	—
1166	C₄×Q₈	—	13	1	no	—
1167	C₄×Q₈	—	13	1	no	—
1168	C₄×Q₈	—	13	1	no	—
1169	C₄×Q₈	—	26	1	no	—
1170	C₄×Q₈	—	26	1	no	—
1171	C₄×Q₈	—	26	1	no	—
1172	C₄×Q₈	—	26	1	no	—
1173	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1174	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1175	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1176	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1177	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1179	C₄×D₄	—	13	1	no	—
1180	C₄×D₄	—	13	1	no	—
1181	C₄×D₄	—	13	1	no	—
1182	C₄×D₄	—	13	1	no	—
1183	C₄×D₄	—	13	1	no	—
1184	C₄×D₄	—	13	1	no	—
1185	C₄×D₄	—	13	1	no	—
1186	C₄×D₄	—	13	1	no	—
1187	C₄×D₄	—	13	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	13	1	no	—
1191	C₄×D₄	—	13	1	no	—
1192	C₄×D₄	—	13	1	no	—
1193	C₄×D₄	—	26	1	no	—
1194	C₄×D₄	—	26	1	no	—
1195	C₄×D₄	—	26	1	no	—
1196	C₄×D₄	—	26	1	no	—
1197	C₄×D₄	—	26	1	no	—
1198	C₄×D₄	—	26	1	no	—
1199	C₄×D₄	—	26	1	no	—
1200	C₄×D₄	—	26	1	no	—
1201	C₄×D₄	—	26	1	no	—
1202	C₄×D₄	—	26	1	no	—
1203	C₄×D₄	—	26	1	no	—
1204	C₄×D₄	—	26	1	no	—
1205	C₄×D₄	—	26	1	no	—
1206	C₄×D₄	—	26	1	no	—
1207	C₄×D₄	—	26	1	no	—
1208	#117	—	2	1	no	—
1209	#117	—	13	1	no	—
1210	#117	—	13	1	no	—
1211	#117	—	13	1	no	—
1212	#117	—	13	1	no	—
1213	#117	—	13	1	no	—
1214	#117	—	13	1	no	—
1215	#117	—	26	1	no	—
1216	#117	—	26	1	no	—
1217	#117	—	26	1	no	—
1218	#117	—	26	1	no	—
1219	#117	—	26	1	no	—
1220	#117	—	26	1	no	—
1221	#117	—	26	1	no	—
1222	#117	—	26	1	no	—
1223	#117	—	26	1	no	—
1224	#117	—	26	1	no	—
1225	#117	—	26	1	no	—
1226	#117	—	26	1	no	—
1227	#117	—	26	1	no	—
1228	#117	—	26	1	no	—
1229	#117	—	26	1	no	—
1230	C₂×C₄⋊C₄	—	2	1	no	—
1231	C₂×C₄⋊C₄	—	13	1	no	—
1232	C₂×C₄⋊C₄	—	13	1	no	—
1233	C₂×C₄⋊C₄	—	26	1	no	—
1234	C₂×C₄⋊C₄	—	26	1	no	—
1235	C₂×C₄⋊C₄	—	26	1	no	—
1236	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1237	C₂×C₂²⋊C₄	—	26	1	no	—
1238	C₂×C₂²⋊C₄	—	26	1	no	—
1239	C₂×C₂²⋊C₄	—	26	1	no	—
1240	C₂×C₄²	—	2	1	no	—
1241	C₂×C₄²	—	13	1	no	—
1242	C₂×C₄²	—	13	1	no	—
1243	C₂×C₄²	—	26	1	no	—
1244	C₂×C₄²	—	26	1	no	—
1245	C₂×C₄²	—	26	1	no	—
1246	C₂×C₄²	—	26	1	no	—
1247	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1248	#107	—	13	1	no	—
1249	#107	—	13	1	no	—
1250	#107	—	13	1	no	—
1251	#107	—	13	1	no	—
1252	#107	—	13	1	no	—
1253	#107	—	13	1	no	—
1254	#107	—	13	1	no	—
1255	#107	—	13	1	no	—
1256	#106	—	13	1	no	—
1257	#106	—	13	1	no	—
1258	#106	—	13	1	no	—
1259	#106	—	13	1	no	—
1260	#106	C₂²×D₁₃	1	1	yes	characteristic
1261	#106	C₂²×D₁₃	1	1	yes	characteristic
1262	#106	C₂²×D₁₃	1	1	yes	characteristic
1263	#106	C₂²×D₁₃	1	1	yes	characteristic
1264	C₄⋊C₈	—	13	1	no	—
1265	C₄⋊C₈	—	13	1	no	—
1266	C₄⋊C₈	—	13	1	no	—
1267	C₄⋊C₈	—	13	1	no	—
1268	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1269	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1270	#103	—	13	1	no	—
1271	#103	—	13	1	no	—
1272	#103	—	13	1	no	—
1273	#103	—	13	1	no	—
1274	#103	—	13	1	no	—
1275	#103	—	13	1	no	—
1276	#103	—	13	1	no	—
1277	#103	—	13	1	no	—
1278	#103	—	13	1	no	—
1279	#103	—	13	1	no	—
1280	#103	—	13	1	no	—
1281	#103	—	13	1	no	—
1282	#103	C₂²×D₁₃	1	1	yes	characteristic
1283	#103	C₂²×D₁₃	1	1	yes	characteristic
1284	#103	C₂²×D₁₃	1	1	yes	characteristic
1285	#103	C₂²×D₁₃	1	1	yes	characteristic
1286	#103	C₂²×D₁₃	1	1	yes	characteristic
1287	#103	C₂²×D₁₃	1	1	yes	characteristic
1288	#103	C₂²×D₁₃	1	1	yes	characteristic
1289	#103	C₂²×D₁₃	1	1	yes	characteristic
1290	#102	—	13	1	no	—
1291	#102	—	13	1	no	—
1292	#102	—	13	1	no	—
1293	#102	—	13	1	no	—
1294	#102	—	13	1	no	—
1295	#102	—	13	1	no	—
1296	#102	—	13	1	no	—
1297	#102	—	13	1	no	—
1298	#102	—	13	1	no	—
1299	#102	—	13	1	no	—
1300	#102	—	13	1	no	—
1301	#102	—	13	1	no	—
1302	C₂²⋊C₈	—	13	1	no	—
1303	C₂²⋊C₈	—	13	1	no	—
1304	C₂²⋊C₈	—	13	1	no	—
1305	C₂²⋊C₈	—	13	1	no	—
1306	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1308	#97	—	13	1	no	—
1309	#97	—	13	1	no	—
1310	#97	—	13	1	no	—
1311	#97	—	13	1	no	—
1312	#97	—	13	1	no	—
1313	#97	—	13	1	no	—
1314	#97	C₂²×D₁₃	1	1	yes	characteristic
1315	#97	C₂²×D₁₃	1	1	yes	characteristic
1316	C₄×C₈	—	13	1	no	—
1317	C₄×C₈	—	13	1	no	—
1318	C₂×C₁₃	—	2	2	no	—
1319	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1320	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1321	C₂×C₁₃	#3586	1	1	yes	characteristic
1322	D₁₃	—	4	1	no	—
1323	D₁₃	—	4	1	no	—
1324	D₁₃	—	4	2	no	—
1325	D₁₃	—	8	1	no	—
1326	D₁₃	—	8	1	no	—
1327	C₂⁴	—	26	1	no	—
1328	#41	—	26	2	no	—
1329	#41	—	26	2	no	—
1330	#41	—	26	2	no	—
1331	#41	—	52	2	no	—
1332	#41	—	52	4	no	—
1333	#41	—	52	1	no	—
1334	#41	—	52	1	no	—
1335	#41	—	52	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	2	2	no	—
1339	C₂×Q₈	—	4	1	no	—
1340	C₂×Q₈	—	13	1	no	—
1341	C₂×Q₈	—	13	1	no	—
1342	C₂×Q₈	—	26	1	no	—
1343	C₂×Q₈	—	26	1	no	—
1344	C₂×Q₈	—	26	2	no	—
1345	C₂×Q₈	—	52	1	no	—
1346	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1347	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1348	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1349	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1350	C₂×D₄	—	13	1	no	—
1351	C₂×D₄	—	13	1	no	—
1352	C₂×D₄	—	13	1	no	—
1353	C₂×D₄	—	13	1	no	—
1354	C₂×D₄	—	13	1	no	—
1355	C₂×D₄	—	13	1	no	—
1356	C₂×D₄	—	26	2	no	—
1357	C₂×D₄	—	26	1	no	—
1358	C₂×D₄	—	26	1	no	—
1359	C₂×D₄	—	26	1	no	—
1360	C₂×D₄	—	26	1	no	—
1361	C₂×D₄	—	26	1	no	—
1362	C₂×D₄	—	26	1	no	—
1363	C₂×D₄	—	26	1	no	—
1364	C₂×D₄	—	26	1	no	—
1365	C₂×D₄	—	52	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	13	1	no	—
1369	C₂²×C₄	—	13	1	no	—
1370	C₂²×C₄	—	13	1	no	—
1371	C₂²×C₄	—	13	1	no	—
1372	C₂²×C₄	—	13	1	no	—
1373	C₂²×C₄	—	13	1	no	—
1374	C₂²×C₄	—	26	1	no	—
1375	C₂²×C₄	—	26	1	no	—
1376	C₂²×C₄	—	26	1	no	—
1377	C₂²×C₄	—	26	1	no	—
1378	C₂²×C₄	—	26	1	no	—
1379	C₂²×C₄	—	26	1	no	—
1380	C₂²×C₄	—	26	1	no	—
1381	C₂²×C₄	—	26	1	no	—
1382	C₂²×C₄	—	26	1	no	—
1383	C₂²×C₄	—	26	1	no	—
1384	C₂²×C₄	—	26	1	no	—
1385	C₂²×C₄	—	26	1	no	—
1386	C₂²×C₄	—	26	1	no	—
1387	C₂²×C₄	—	26	1	no	—
1388	C₂²×C₄	—	52	4	no	—
1389	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1390	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1391	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1392	Q₁₆	—	2	2	no	—
1393	Q₁₆	—	2	2	no	—
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	4	1	no	—
1396	Q₁₆	—	26	2	no	—
1397	Q₁₆	—	52	1	no	—
1398	SD₁₆	—	13	4	no	—
1399	SD₁₆	—	26	2	no	—
1400	SD₁₆	—	26	2	no	—
1401	SD₁₆	—	26	2	no	—
1402	SD₁₆	—	26	2	no	—
1403	SD₁₆	—	26	2	no	—
1404	SD₁₆	—	52	1	no	—
1405	SD₁₆	—	52	1	no	—
1406	D₈	—	26	2	no	—
1407	D₈	—	52	1	no	—
1408	M₁₆	—	26	2	no	—
1409	M₁₆	—	52	1	no	—
1410	C₂×C₈	—	13	1	no	—
1411	C₂×C₈	—	13	1	no	—
1412	C₂×C₈	—	13	1	no	—
1413	C₂×C₈	—	13	1	no	—
1414	C₂×C₈	—	26	2	no	—
1415	C₂×C₈	—	26	2	no	—
1416	C₂×C₈	—	52	1	no	—
1417	C₂×C₈	—	52	1	no	—
1418	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1419	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1420	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1421	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	13	1	no	—
1435	C₄⋊C₄	—	13	1	no	—
1436	C₄⋊C₄	—	13	1	no	—
1437	C₄⋊C₄	—	13	1	no	—
1438	C₄⋊C₄	—	13	1	no	—
1439	C₄⋊C₄	—	13	1	no	—
1440	C₄⋊C₄	—	13	1	no	—
1441	C₄⋊C₄	—	13	1	no	—
1442	C₄⋊C₄	—	13	1	no	—
1443	C₄⋊C₄	—	13	1	no	—
1444	C₄⋊C₄	—	26	1	no	—
1445	C₄⋊C₄	—	26	1	no	—
1446	C₄⋊C₄	—	26	1	no	—
1447	C₄⋊C₄	—	26	1	no	—
1448	C₄⋊C₄	—	26	1	no	—
1449	C₄⋊C₄	—	26	1	no	—
1450	C₄⋊C₄	—	26	1	no	—
1451	C₄⋊C₄	—	26	1	no	—
1452	C₄⋊C₄	—	26	1	no	—
1453	C₄⋊C₄	—	26	1	no	—
1454	C₄⋊C₄	—	26	1	no	—
1455	C₄⋊C₄	—	26	1	no	—
1456	C₄⋊C₄	—	26	1	no	—
1457	C₄⋊C₄	—	26	1	no	—
1458	C₄⋊C₄	—	26	1	no	—
1459	C₄⋊C₄	—	26	1	no	—
1460	C₄⋊C₄	—	26	1	no	—
1461	C₄⋊C₄	—	26	1	no	—
1462	C₄⋊C₄	—	26	1	no	—
1463	C₄⋊C₄	—	26	1	no	—
1464	C₄⋊C₄	—	26	1	no	—
1465	C₄⋊C₄	—	26	1	no	—
1466	C₄⋊C₄	—	26	1	no	—
1467	C₄⋊C₄	—	26	1	no	—
1468	C₄⋊C₄	—	26	1	no	—
1469	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	13	1	no	—
1476	C₂²⋊C₄	—	13	1	no	—
1477	C₂²⋊C₄	—	13	1	no	—
1478	C₂²⋊C₄	—	13	1	no	—
1479	C₂²⋊C₄	—	13	1	no	—
1480	C₂²⋊C₄	—	13	1	no	—
1481	C₂²⋊C₄	—	26	1	no	—
1482	C₂²⋊C₄	—	26	1	no	—
1483	C₂²⋊C₄	—	26	1	no	—
1484	C₂²⋊C₄	—	26	1	no	—
1485	C₂²⋊C₄	—	26	1	no	—
1486	C₂²⋊C₄	—	26	1	no	—
1487	C₂²⋊C₄	—	26	1	no	—
1488	C₂²⋊C₄	—	26	1	no	—
1489	C₂²⋊C₄	—	26	1	no	—
1490	C₂²⋊C₄	—	26	1	no	—
1491	C₂²⋊C₄	—	26	1	no	—
1492	C₂²⋊C₄	—	26	1	no	—
1493	C₂²⋊C₄	—	26	1	no	—
1494	C₂²⋊C₄	—	26	1	no	—
1495	C₂²⋊C₄	—	26	1	no	—
1496	C₂²⋊C₄	—	26	1	no	—
1497	C₂²⋊C₄	—	26	1	no	—
1498	C₂²⋊C₄	—	26	1	no	—
1499	C₂²⋊C₄	—	26	1	no	—
1500	C₂²⋊C₄	—	26	1	no	—
1501	C₂²⋊C₄	—	26	1	no	—
1502	C₂²⋊C₄	—	26	1	no	—
1503	C₂²⋊C₄	—	26	1	no	—
1504	C₂²⋊C₄	—	26	1	no	—
1505	C₂²⋊C₄	—	26	1	no	—
1506	C₂²⋊C₄	—	26	1	no	—
1507	C₂²⋊C₄	—	26	1	no	—
1508	C₂²⋊C₄	—	26	1	no	—
1509	C₂²⋊C₄	—	26	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	13	1	no	—
1517	C₄²	—	13	1	no	—
1518	C₄²	—	13	1	no	—
1519	C₄²	—	13	1	no	—
1520	C₄²	—	13	1	no	—
1521	C₄²	—	13	1	no	—
1522	C₄²	—	26	1	no	—
1523	C₄²	—	26	1	no	—
1524	C₄²	—	26	1	no	—
1525	C₄²	—	26	1	no	—
1526	C₄²	—	26	1	no	—
1527	C₄²	—	26	1	no	—
1528	C₄²	—	26	1	no	—
1529	C₄²	—	26	1	no	—
1530	C₄²	—	26	1	no	—
1531	C₄²	D₄×D₁₃	1	1	yes	characteristic
1532	C₄²	D₄×D₁₃	1	1	yes	characteristic
1533	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1534	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1535	C₁₃	#61455	1	1	yes	characteristic, complemented, Sylow
1536	C₂³	—	13	1	no	—
1537	C₂³	—	13	1	no	—
1538	C₂³	—	26	1	no	—
1539	C₂³	—	26	1	no	—
1540	C₂³	—	26	1	no	—
1541	C₂³	—	52	2	no	—
1542	C₂³	—	52	2	no	—
1543	C₂³	—	104	1	no	—
1544	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	4	2	no	—
1553	Q₈	—	8	1	no	—
1554	Q₈	—	26	1	no	—
1555	Q₈	—	26	1	no	—
1556	Q₈	—	52	1	no	—
1557	Q₈	—	52	2	no	—
1558	Q₈	—	52	2	no	—
1559	Q₈	#41×D₁₃	1	2	yes	—
1560	D₄	—	13	2	no	—
1561	D₄	—	26	2	no	—
1562	D₄	—	26	2	no	—
1563	D₄	—	26	1	no	—
1564	D₄	—	26	1	no	—
1565	D₄	—	26	1	no	—
1566	D₄	—	26	1	no	—
1567	D₄	—	26	1	no	—
1568	D₄	—	52	1	no	—
1569	D₄	—	52	2	no	—
1570	D₄	—	52	2	no	—
1571	D₄	—	52	2	no	—
1572	D₄	—	52	2	no	—
1573	D₄	—	52	2	no	—
1574	D₄	—	52	2	no	—
1575	D₄	—	104	1	no	—
1576	D₄	—	104	1	no	—
1577	C₂×C₄	—	2	2	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	4	1	no	—
1589	C₂×C₄	—	4	2	no	—
1590	C₂×C₄	—	4	2	no	—
1591	C₂×C₄	—	13	1	no	—
1592	C₂×C₄	—	13	1	no	—
1593	C₂×C₄	—	13	1	no	—
1594	C₂×C₄	—	13	1	no	—
1595	C₂×C₄	—	13	1	no	—
1596	C₂×C₄	—	13	1	no	—
1597	C₂×C₄	—	26	1	no	—
1598	C₂×C₄	—	26	1	no	—
1599	C₂×C₄	—	26	1	no	—
1600	C₂×C₄	—	26	1	no	—
1601	C₂×C₄	—	26	1	no	—
1602	C₂×C₄	—	26	1	no	—
1603	C₂×C₄	—	26	1	no	—
1604	C₂×C₄	—	26	1	no	—
1605	C₂×C₄	—	26	1	no	—
1606	C₂×C₄	—	52	1	no	—
1607	C₂×C₄	—	52	1	no	—
1608	C₂×C₄	—	52	1	no	—
1609	C₂×C₄	—	52	1	no	—
1610	C₂×C₄	—	52	2	no	—
1611	C₂×C₄	—	52	2	no	—
1612	C₂×C₄	—	52	2	no	—
1613	C₂×C₄	—	52	2	no	—
1614	C₂×C₄	—	52	2	no	—
1615	C₂×C₄	—	52	2	no	—
1616	C₂×C₄	—	52	2	no	—
1617	C₂×C₄	—	52	2	no	—
1618	C₂×C₄	—	52	2	no	—
1619	C₂×C₄	—	52	2	no	—
1620	C₂×C₄	—	52	2	no	—
1621	C₂×C₄	—	52	2	no	—
1622	C₂×C₄	—	104	1	no	—
1623	C₂×C₄	—	104	1	no	—
1624	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1627	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1628	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1629	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	13	2	no	—
1635	C₈	—	26	1	no	—
1636	C₈	—	26	1	no	—
1637	C₈	—	26	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	26	1	no	—
1641	C₂²	—	26	1	no	—
1642	C₂²	—	26	1	no	—
1643	C₂²	—	26	1	no	—
1644	C₂²	—	26	2	no	—
1645	C₂²	—	26	1	no	—
1646	C₂²	—	26	1	no	—
1647	C₂²	—	52	1	no	—
1648	C₂²	—	52	1	no	—
1649	C₂²	—	52	1	no	—
1650	C₂²	—	52	1	no	—
1651	C₂²	—	52	1	no	—
1652	C₂²	—	52	1	no	—
1653	C₂²	—	52	1	no	—
1654	C₂²	—	52	1	no	—
1655	C₂²	—	104	4	no	—
1656	C₂²	#11719482	1	2	yes	—
1657	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	2	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	26	1	no	—
1672	C₄	—	26	1	no	—
1673	C₄	—	26	1	no	—
1674	C₄	—	26	1	no	—
1675	C₄	—	26	1	no	—
1676	C₄	—	26	1	no	—
1677	C₄	—	52	1	no	—
1678	C₄	—	52	1	no	—
1679	C₄	—	52	1	no	—
1680	C₄	—	52	1	no	—
1681	C₄	—	52	1	no	—
1682	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1683	C₄	#11719648	1	1	yes	characteristic
1684	C₂	—	2	2	no	—
1685	C₂	—	52	1	no	—
1686	C₂	—	52	1	no	—
1687	C₂	—	52	2	no	—
1688	C₂	—	104	1	no	—
1689	C₂	—	104	1	no	—
1690	C₂	#13128319	1	1	yes	characteristic
1691	C₂	C₂×#11719482	1	1	yes	characteristic
1692	C₂	#13129619	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×#3113	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3113	D₁₃
hypocenter	C₁₃	#61455
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3113

Complements

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

N	H ≅ G/N	type
1. #13128453	C₂	semidirect
2. #13128403	C₂	semidirect
3. #13127910	C₂	semidirect
4. #13127788	C₂	semidirect
5. #13127671	C₂	semidirect
6. #13127670	C₂	semidirect
7. #13127358	C₂	semidirect
8. #13127274	C₂	semidirect
9. #13127202	C₂	semidirect
10. #13127019	C₂	semidirect
11. #13126939	C₂	semidirect
12. #13126891	C₂	semidirect
13. #13126795	C₂	semidirect
14. #13126727	C₂	semidirect
15. #13126669	C₂	semidirect
16. #13126536	C₂	semidirect
17. #13126386	C₂	semidirect
18. #13126339	C₂	semidirect
19. #13125568	C₂	semidirect
20. #13125543	C₂	semidirect
21. #13125539	C₂	semidirect
22. #13125011	C₂	semidirect
23. #13124996	C₂	semidirect
24. #13124976	C₂	semidirect
25. #13124951	C₂	semidirect
26. #13124951	C₂	semidirect
27. #13123845	C₂	semidirect
28. #13123652	C₂	semidirect
29. #13123635	C₂	semidirect
30. C₂×#11718687	C₂	semidirect
31. C₁₃×#3113	C₂	semidirect
52. #11719286	C₂²	semidirect
58. #11719285	C₂²	semidirect
60. #11719283	C₂²	semidirect
61. #11719281	C₂²	semidirect
64. C₄×#6131	C₂²	semidirect
65. C₄×Q₈×D₁₃	C₂²	semidirect
66. #11719274	C₂²	semidirect
68. #11719273	C₂²	semidirect
82. C₁₃×#475	C₂²	semidirect
83. C₁₃×#475	C₂²	semidirect
84. C₁₃×#462	C₂²	semidirect
85. C₁₃×#462	C₂²	semidirect
88. C₁₃×#441	C₂²	semidirect
89. C₁₃×#441	C₂²	semidirect
90. C₁₃×#441	C₂²	semidirect
91. C₁₃×#441	C₂²	semidirect
96. #11718850	C₂²	semidirect
97. #11718849	C₂²	semidirect
100. #11718848	C₂²	semidirect
101. #11718847	C₂²	semidirect
104. #11718846	C₂²	semidirect
105. #11718845	C₂²	semidirect
106. Q₁₆×Dic₁₃	C₂²	semidirect
107. #11718843	C₂²	semidirect
108. #11718750	C₂²	semidirect
109. #11718747	C₂²	semidirect
110. #11718743	C₂²	semidirect
111. #11718741	C₂²	semidirect
116. #11718691	C₂²	semidirect
117. #11718691	C₂²	semidirect
126. #11718687	C₂²	semidirect
127. #11718687	C₂²	semidirect
132. #11718532	C₂²	semidirect
135. #11718528	C₂²	semidirect
137. #11718527	C₂²	semidirect
141. #11718522	C₂²	semidirect
142. #11718521	C₂²	semidirect
143. #11718519	C₂²	semidirect
144. #11718518	C₂²	semidirect
145. #11718517	C₂²	semidirect
151. #11718497	C₂²	semidirect
152. #11718497	C₂²	semidirect
153. #11718489	C₂²	semidirect
154. #11718489	C₂²	semidirect
159. #11718478	C₂²	semidirect
160. #11718476	C₂²	semidirect
161. #11718476	C₂²	semidirect
162. #11718475	C₂²	semidirect
163. #11718474	C₂²	semidirect
165. #11718473	C₂²	semidirect
169. #11718470	C₂²	semidirect
173. #11718465	C₂²	semidirect
175. #11718463	C₂²	semidirect
177. #11718461	C₂²	semidirect
178. #11718460	C₂²	semidirect
179. #11718460	C₂²	semidirect
181. #11718458	C₂²	semidirect
182. #11718457	C₂²	semidirect
184. #11718455	C₂²	semidirect
185. #11718451	C₂²	semidirect
199. #11718368	C₂²	semidirect
200. #11718366	C₂²	semidirect
201. #11718366	C₂²	semidirect
202. D₁₃×#97	C₂²	semidirect
593. #6106	#41	semidirect
714. #3113	D₁₃	semidirect
905. #475	C₂×D₁₃	semidirect
906. #475	C₂×D₁₃	semidirect
928. #462	C₂×D₁₃	semidirect
929. #462	C₂×D₁₃	semidirect
951. #441	C₂×D₁₃	semidirect
952. #441	C₂×D₁₃	semidirect
953. #441	C₂×D₁₃	semidirect
954. #441	C₂×D₁₃	semidirect
1535. C₁₃	#61455	semidirect

Maximal subgroups

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

subgroup	index
#13128453	2
#13128403	2
#13127910	2
#13127788	2
#13127671	2
#13127670	2
#13127358	2
#13127274	2
#13127202	2
#13127019	2
#13126939	2
#13126891	2
#13126795	2
#13126727	2
#13126669	2
#13126536	2
#13126386	2
#13126339	2
#13125568	2
#13125543	2
#13125539	2
#13125011	2
#13124996	2
#13124976	2
#13124951	2
#13123845	2
#13123652	2
#13123635	2
C₂×#11718687	2
C₁₃×#3113	2
#61455	13