Subgroups — #16747721

Order 3328.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128879	C₂	1	1	yes	maximal, characteristic, complemented
2	#41×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126768	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126746	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126719	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126716	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126697	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126667	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126664	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126645	C₂	1	1	yes	maximal, characteristic, complemented
11	Q₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126577	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126575	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126559	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126551	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126543	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126541	C₂	1	1	yes	maximal, characteristic, complemented
18	SD₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125815	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125790	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125629	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125628	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125617	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125615	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124900	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124855	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124057	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124054	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123858	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	#11719539	C₂²	1	1	yes	characteristic
38	#11719537	—	2	1	no	—
39	#11719537	C₂²	1	1	yes	characteristic
40	#11719536	C₂²	1	1	yes	characteristic
41	#11719534	—	2	1	no	—
42	#11719534	C₂²	1	1	yes	characteristic
43	#11719533	—	2	1	no	—
44	#11719533	C₂²	1	1	yes	characteristic
45	#41×Dic₁₃	C₂²	1	1	yes	characteristic
46	#11719529	—	2	1	no	—
47	#11719529	C₂²	1	1	yes	characteristic
48	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
50	#11719522	C₂²	1	1	yes	characteristic
51	#11719522	C₂²	1	1	yes	characteristic, complemented
52	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
53	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
54	#11719511	—	2	1	no	—
55	#11719511	C₂²	1	1	yes	characteristic
56	D₄×C₂²⋊D₁₃	—	2	1	no	—
57	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
58	#11719496	—	2	1	no	—
59	#11719496	C₂²	1	1	yes	characteristic
60	#11719496	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×C₂²⋊D₁₃	—	2	1	no	—
62	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
63	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
64	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
66	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
67	#11719346	C₂²	1	1	yes	characteristic, complemented
68	#11719345	—	2	1	no	—
69	#11719344	C₂²	1	1	yes	characteristic, complemented
70	#11719343	—	2	1	no	—
71	#11719342	—	2	1	no	—
72	#11719341	—	2	1	no	—
73	#11719338	C₂²	1	1	yes	characteristic, complemented
74	#11719336	C₂²	1	1	yes	characteristic, complemented
75	#11719332	C₂²	1	1	yes	characteristic, complemented
76	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
77	#11719329	C₂²	1	1	yes	characteristic, complemented
78	#11719327	C₂²	1	1	yes	characteristic, complemented
79	#11719220	—	2	1	no	—
80	#11719218	C₂²	1	1	yes	characteristic, complemented
81	#11719212	C₂²	1	1	yes	characteristic
82	#11719209	—	2	1	no	—
83	#11719200	—	2	1	no	—
84	#11719195	—	2	1	no	—
85	C₁₃×#452	C₂²	1	1	yes	characteristic
86	C₁₃×#452	C₂²	1	1	yes	characteristic
87	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic
97	#11718900	C₂²	1	1	yes	characteristic, complemented
98	#11718899	C₂²	1	1	yes	characteristic
99	#11718899	C₂²	1	1	yes	characteristic, complemented
100	#11718894	C₂²	1	1	yes	characteristic, complemented
101	#11718894	C₂²	1	1	yes	characteristic, complemented
102	#11718889	C₂²	1	1	yes	characteristic, complemented
103	#11718889	C₂²	1	1	yes	characteristic, complemented
104	#11718888	C₂²	1	1	yes	characteristic, complemented
105	#11718888	C₂²	1	1	yes	characteristic, complemented
106	#11718879	C₂²	1	1	yes	characteristic, complemented
107	#11718878	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
109	#11718852	C₂²	1	1	yes	characteristic, complemented
110	#11718849	C₂²	1	1	yes	characteristic, complemented
111	#11718849	C₂²	1	1	yes	characteristic, complemented
112	#11718848	C₂²	1	1	yes	characteristic, complemented
113	#11718848	C₂²	1	1	yes	characteristic, complemented
114	#11718847	C₂²	1	1	yes	characteristic, complemented
115	#11718847	C₂²	1	1	yes	characteristic, complemented
116	#11718846	C₂²	1	1	yes	characteristic, complemented
117	#11718846	C₂²	1	1	yes	characteristic, complemented
118	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
119	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
120	#11718843	C₂²	1	1	yes	characteristic, complemented
121	#11718843	C₂²	1	1	yes	characteristic, complemented
122	#11718842	C₂²	1	1	yes	characteristic, complemented
123	#11718836	C₂²	1	1	yes	characteristic, complemented
124	#11718834	C₂²	1	1	yes	characteristic, complemented
125	#11718833	C₂²	1	1	yes	characteristic, complemented
126	#11718832	C₂²	1	1	yes	characteristic, complemented
127	#11718832	C₂²	1	1	yes	characteristic, complemented
128	#11718831	C₂²	1	1	yes	characteristic, complemented
129	#11718830	C₂²	1	1	yes	characteristic, complemented
130	#11718829	C₂²	1	1	yes	characteristic, complemented
131	#11718827	C₂²	1	1	yes	characteristic, complemented
132	#11718826	C₂²	1	1	yes	characteristic, complemented
133	#11718824	C₂²	1	1	yes	characteristic, complemented
134	#11718823	C₂²	1	1	yes	characteristic, complemented
135	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
136	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
137	#11718777	C₂²	1	1	yes	characteristic, complemented
138	#11718776	C₂²	1	1	yes	characteristic, complemented
139	#11718775	C₂²	1	1	yes	characteristic, complemented
140	#11718775	C₂²	1	1	yes	characteristic, complemented
141	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
142	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
143	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
144	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
145	#11718712	C₂²	1	1	yes	characteristic, complemented
146	#11718712	C₂²	1	1	yes	characteristic, complemented
147	#11718709	C₂²	1	1	yes	characteristic, complemented
148	#11718709	C₂²	1	1	yes	characteristic, complemented
149	#11718708	C₂²	1	1	yes	characteristic, complemented
150	#11718708	C₂²	1	1	yes	characteristic, complemented
151	#11718706	C₂²	1	1	yes	characteristic, complemented
152	#11718706	C₂²	1	1	yes	characteristic, complemented
153	#11718632	C₂²	1	1	yes	characteristic, complemented
154	#11718628	C₂²	1	1	yes	characteristic, complemented
155	#11718479	C₂²	1	1	yes	characteristic, complemented
156	#11718476	C₂²	1	1	yes	characteristic, complemented
157	#11718474	C₂²	1	1	yes	characteristic, complemented
158	#11718471	C₂²	1	1	yes	characteristic, complemented
159	#11718468	C₂²	1	1	yes	characteristic, complemented
160	#11718467	C₂²	1	1	yes	characteristic, complemented
161	#11718466	C₂²	1	1	yes	characteristic, complemented
162	#11718465	C₂²	1	1	yes	characteristic, complemented
163	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
164	#11718461	C₂²	1	1	yes	characteristic, complemented
165	#11718460	C₂²	1	1	yes	characteristic, complemented
166	#11718459	C₂²	1	1	yes	characteristic, complemented
167	#11718453	C₂²	1	1	yes	characteristic, complemented
168	#11718452	C₂²	1	1	yes	characteristic, complemented
169	#11718451	C₂²	1	1	yes	characteristic, complemented
170	#11718449	C₂²	1	1	yes	characteristic, complemented
171	#11718447	C₂²	1	1	yes	characteristic, complemented
172	#11718445	C₂²	1	1	yes	characteristic, complemented
173	#11718444	C₂²	1	1	yes	characteristic, complemented
174	#11718439	C₂²	1	1	yes	characteristic, complemented
175	#11718436	C₂²	1	1	yes	characteristic, complemented
176	#11718435	C₂²	1	1	yes	characteristic, complemented
177	#11718434	C₂²	1	1	yes	characteristic, complemented
178	#11718433	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
180	#11718429	C₂²	1	1	yes	characteristic, complemented
181	#11718428	C₂²	1	1	yes	characteristic, complemented
182	#11718427	C₂²	1	1	yes	characteristic, complemented
183	#11718421	C₂²	1	1	yes	characteristic, complemented
184	#11718420	C₂²	1	1	yes	characteristic, complemented
185	#11718419	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718398	C₂²	1	1	yes	characteristic, complemented
188	#11718398	C₂²	1	1	yes	characteristic, complemented
189	#11718395	C₂²	1	1	yes	characteristic, complemented
190	#11718395	C₂²	1	1	yes	characteristic, complemented
191	#11718394	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718386	C₂²	1	1	yes	characteristic, complemented
194	#11718386	C₂²	1	1	yes	characteristic, complemented
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#11718384	C₂²	1	1	yes	characteristic, complemented
200	#11718384	C₂²	1	1	yes	characteristic, complemented
201	#11718379	C₂²	1	1	yes	characteristic, complemented
202	#11718379	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	—	4	2	no	—
206	C₂×C₁₃×#41	—	4	2	no	—
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
212	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₁₃	—	2	1	no	—
214	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₁₃	—	2	1	no	—
216	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
217	C₂²×C₂²⋊D₁₃	—	2	1	no	—
218	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
219	#41×D₁₃	—	4	2	no	—
220	#41×D₁₃	—	4	2	no	—
221	C₂×#6131	C₂³	1	1	yes	characteristic
222	C₂×#6131	C₂³	1	1	yes	characteristic
223	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×#6129	—	2	1	no	—
226	C₂×#6129	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	—	2	1	no	—
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×#6127	—	2	1	no	—
230	C₂×#6127	—	2	1	no	—
231	C₂×#6127	C₂³	1	1	yes	characteristic
232	C₂×#6127	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₁₃	—	2	1	no	—
234	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×Q₁₆	—	4	2	no	—
236	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	—	4	2	no	—
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	—	2	1	no	—
249	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
256	#88207	—	2	1	no	—
257	#88207	—	2	1	no	—
258	#88207	—	2	1	no	—
259	#88207	—	2	1	no	—
260	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
261	C₂×C₂²⋊Dic₁₃	D₄	1	1	yes	characteristic
262	#88204	—	4	2	no	—
263	#88204	—	4	2	no	—
264	#88201	—	2	1	no	—
265	#88201	—	2	1	no	—
266	#88201	C₂³	1	1	yes	characteristic
267	#88201	C₂³	1	1	yes	characteristic
268	#88200	—	2	1	no	—
269	#88200	—	2	1	no	—
270	#88200	—	2	1	no	—
271	#88200	—	2	1	no	—
272	#88200	C₂³	1	1	yes	characteristic
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
277	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
278	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
279	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
280	#88198	—	2	1	no	—
281	#88198	—	2	1	no	—
282	#88198	C₂³	1	1	yes	characteristic
283	#88198	C₂³	1	1	yes	characteristic
284	C₂×#6107	C₂³	1	1	yes	characteristic
285	C₂×#6107	C₂³	1	1	yes	characteristic
286	C₂×#6107	C₂³	1	1	yes	characteristic
287	C₂×#6107	C₂³	1	1	yes	characteristic
288	C₂×#6106	C₂³	1	1	yes	characteristic
289	C₂×#6106	C₂³	1	1	yes	characteristic
290	C₂×#6106	C₂³	1	1	yes	characteristic
291	C₂×#6106	C₂³	1	1	yes	characteristic
292	#88194	—	2	1	no	—
293	#88194	C₂³	1	1	yes	characteristic
294	#88193	—	2	1	no	—
295	#88193	—	2	1	no	—
296	#88193	—	2	1	no	—
297	#88193	—	2	1	no	—
298	#88193	—	2	1	no	—
299	#88193	—	2	1	no	—
300	#88192	—	2	1	no	—
301	#88192	—	2	1	no	—
302	#88192	C₂³	1	1	yes	characteristic
303	#88192	C₂³	1	1	yes	characteristic
304	#88191	—	2	1	no	—
305	#88191	—	2	1	no	—
306	#88191	—	2	1	no	—
307	#88190	—	2	1	no	—
308	#88190	C₂³	1	1	yes	characteristic
309	#88189	—	2	1	no	—
310	#88189	—	2	1	no	—
311	#88189	—	2	1	no	—
312	D₄×Dic₁₃	—	2	1	no	—
313	D₄×Dic₁₃	—	2	1	no	—
314	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	C₂×#6105	C₂³	1	1	yes	characteristic
317	C₂×#6105	C₂³	1	1	yes	characteristic
318	C₂×#6104	C₂³	1	1	yes	characteristic
319	C₂×#6104	C₂³	1	1	yes	characteristic
320	#88184	—	2	1	no	—
321	#88184	—	2	1	no	—
322	#88184	—	2	1	no	—
323	#88184	C₂³	1	1	yes	characteristic
324	#88184	C₂³	1	1	yes	characteristic
325	#88184	C₂³	1	1	yes	characteristic
326	#88184	C₂³	1	1	yes	characteristic
327	#88183	—	2	1	no	—
328	#88183	—	2	1	no	—
329	#88183	—	2	1	no	—
330	#88183	—	2	1	no	—
331	#88183	—	2	1	no	—
332	#88183	—	2	1	no	—
333	C₄×C₂²⋊D₁₃	—	2	1	no	—
334	C₄×C₂²⋊D₁₃	—	2	1	no	—
335	C₄×C₂²⋊D₁₃	—	2	1	no	—
336	C₄×C₂²⋊D₁₃	—	2	1	no	—
337	C₄×C₂²⋊D₁₃	—	2	1	no	—
338	C₄×C₂²⋊D₁₃	—	2	1	no	—
339	C₄×C₂²⋊D₁₃	—	2	1	no	—
340	C₄×C₂²⋊D₁₃	—	2	1	no	—
341	C₄×C₂²⋊D₁₃	—	2	1	no	—
342	C₄×C₂²⋊D₁₃	—	2	1	no	—
343	C₄×C₂²⋊D₁₃	—	2	1	no	—
344	C₄×C₂²⋊D₁₃	—	2	1	no	—
345	C₄×C₂²⋊D₁₃	—	2	1	no	—
346	C₄×C₂²⋊D₁₃	—	2	1	no	—
347	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
348	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
349	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
350	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
351	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
352	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
353	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
354	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
355	C₂×#6103	—	2	1	no	—
356	C₂×#6103	D₄	1	1	yes	characteristic
357	#88180	—	2	1	no	—
358	#88180	—	2	1	no	—
359	#88180	C₂³	1	1	yes	characteristic
360	#88180	C₂³	1	1	yes	characteristic
361	#88178	—	2	1	no	—
362	#88178	—	2	1	no	—
363	#88178	—	2	1	no	—
364	#88178	C₂³	1	1	yes	characteristic
365	#88178	C₂³	1	1	yes	characteristic
366	#88178	C₂³	1	1	yes	characteristic
367	#88178	C₂³	1	1	yes	characteristic
368	C₂×#6101	—	2	1	no	—
369	C₂×#6101	D₄	1	1	yes	characteristic
370	C₂×C₄×Dic₁₃	—	2	1	no	—
371	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
372	C₂²×#1055	C₂³	1	1	yes	characteristic
373	C₂²×#1055	C₂³	1	1	yes	characteristic
374	#88173	—	4	2	no	—
375	Q₁₆×D₁₃	—	4	2	no	—
376	#88170	—	4	2	no	—
377	SD₁₆×D₁₃	—	4	2	no	—
378	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
379	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
380	C₂×#6095	C₂³	1	1	yes	characteristic
381	C₂×#6095	C₂³	1	1	yes	characteristic
382	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
383	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
384	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
385	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
386	#88152	—	2	1	no	—
387	#88152	—	2	1	no	—
388	#88152	—	2	1	no	—
389	#88151	C₂³	1	1	yes	characteristic
390	#88150	—	2	1	no	—
391	#88150	—	2	1	no	—
392	#88150	—	2	1	no	—
393	#88149	C₂³	1	1	yes	characteristic
394	#88148	—	2	1	no	—
395	#88148	—	2	1	no	—
396	#88148	—	2	1	no	—
397	#88147	—	2	1	no	—
398	#88147	—	2	1	no	—
399	#88147	C₂³	1	1	yes	characteristic
400	#88146	—	2	1	no	—
401	#88146	—	2	1	no	—
402	#88146	C₂³	1	1	yes	characteristic
403	C₄⋊C₄×D₁₃	—	2	1	no	—
404	C₄⋊C₄×D₁₃	—	2	1	no	—
405	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
406	#88144	C₂³	1	1	yes	characteristic
407	#88143	—	2	1	no	—
408	#88143	—	2	1	no	—
409	#88143	—	2	1	no	—
410	#88142	C₂³	1	1	yes	characteristic
411	#88141	—	2	1	no	—
412	#88141	—	2	1	no	—
413	#88141	C₂³	1	1	yes	characteristic
414	#88140	—	2	1	no	—
415	#88139	—	2	1	no	—
416	#88139	—	2	1	no	—
417	#88138	—	2	1	no	—
418	#88138	—	2	1	no	—
419	#88137	—	2	1	no	—
420	#88137	—	2	1	no	—
421	#88136	—	2	1	no	—
422	#88135	—	2	1	no	—
423	#88135	—	2	1	no	—
424	C₂²⋊C₄×D₁₃	—	2	1	no	—
425	#88133	—	2	1	no	—
426	#88133	—	2	1	no	—
427	#88132	—	2	1	no	—
428	#88132	—	2	1	no	—
429	#88131	—	2	1	no	—
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	C₂²⋊#1055	C₂³	1	1	yes	characteristic
456	C₂²⋊#1055	C₂³	1	1	yes	characteristic
457	C₂²⋊#1055	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88058	C₂³	1	1	yes	characteristic
467	#88058	C₂³	1	1	yes	characteristic
468	#88057	C₂³	1	1	yes	characteristic
469	#88057	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88054	C₂³	1	1	yes	characteristic
475	#88054	C₂³	1	1	yes	characteristic
476	#88054	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
480	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
481	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88050	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic
485	#88049	C₂³	1	1	yes	characteristic
486	#88048	C₂³	1	1	yes	characteristic
487	#88048	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	#88047	C₂³	1	1	yes	characteristic
490	#61568	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
495	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	1	no	—
503	C₁₃×#41	—	4	4	no	—
504	C₁₃×#41	—	4	4	no	—
505	C₂×Q₈×C₁₃	—	2	1	no	—
506	C₂×Q₈×C₁₃	—	2	1	no	—
507	C₂×Q₈×C₁₃	—	2	2	no	—
508	C₂×Q₈×C₁₃	—	4	1	no	—
509	C₂×Q₈×C₁₃	—	4	1	no	—
510	C₂×Q₈×C₁₃	—	4	1	no	—
511	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	2	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	2	1	no	—
521	C₂×D₄×C₁₃	—	4	1	no	—
522	C₂×D₄×C₁₃	—	4	4	no	—
523	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	2	1	no	—
530	C₂²×C₄×C₁₃	—	2	1	no	—
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	4	1	no	—
533	C₂²×C₄×C₁₃	—	4	1	no	—
534	C₂²×C₄×C₁₃	—	4	4	no	—
535	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₂²⋊D₁₃	—	2	4	no	—
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	—	2	1	no	—
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	—	4	4	no	—
555	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
559	C₂²×Dic₁₃	—	2	1	no	—
560	C₂²×Dic₁₃	—	2	1	no	—
561	C₂²×Dic₁₃	—	2	1	no	—
562	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
565	#6131	—	2	2	no	—
566	#6131	—	4	1	no	—
567	#6131	—	4	1	no	—
568	#6131	—	4	1	no	—
569	Q₈×D₁₃	—	2	2	no	—
570	Q₈×D₁₃	—	4	1	no	—
571	Q₈×D₁₃	—	4	1	no	—
572	Q₈×D₁₃	—	4	1	no	—
573	#6129	—	2	2	no	—
574	#6129	—	4	1	no	—
575	#6129	—	4	4	no	—
576	D₄×D₁₃	—	2	2	no	—
577	D₄×D₁₃	—	4	1	no	—
578	D₄×D₁₃	—	4	4	no	—
579	#6127	—	4	1	no	—
580	#6127	—	4	1	no	—
581	#6127	—	4	1	no	—
582	#6127	—	4	1	no	—
583	#6127	—	4	4	no	—
584	#6127	—	4	4	no	—
585	C₂×D₅₂	—	2	1	no	—
586	C₂×D₅₂	—	2	1	no	—
587	C₂×D₅₂	—	2	1	no	—
588	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
589	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	2	1	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×C₄×D₁₃	—	2	1	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	4	1	no	—
599	C₂×C₄×D₁₃	—	4	1	no	—
600	C₂×C₄×D₁₃	—	4	4	no	—
601	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
602	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
603	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×Dic₂₆	—	2	1	no	—
606	C₂×Dic₂₆	—	2	1	no	—
607	C₂×Dic₂₆	—	2	1	no	—
608	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
609	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
610	C₁₃×Q₁₆	—	2	2	no	—
611	C₁₃×Q₁₆	—	2	2	no	—
612	C₁₃×Q₁₆	—	4	1	no	—
613	C₁₃×Q₁₆	—	4	1	no	—
614	C₁₃×SD₁₆	—	2	2	no	—
615	C₁₃×SD₁₆	—	2	2	no	—
616	C₁₃×SD₁₆	—	4	1	no	—
617	C₁₃×SD₁₆	—	4	1	no	—
618	C₂×C₈×C₁₃	—	4	1	no	—
619	C₂×C₈×C₁₃	—	4	1	no	—
620	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
622	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
623	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	—	2	1	no	—
626	C₁₃×C₄⋊C₄	—	2	1	no	—
627	C₁₃×C₄⋊C₄	—	2	1	no	—
628	C₁₃×C₄⋊C₄	—	2	1	no	—
629	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
649	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
650	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
651	#6107	—	2	2	no	—
652	#6107	—	4	1	no	—
653	#6107	—	4	1	no	—
654	#6107	—	4	1	no	—
655	#6106	—	2	2	no	—
656	#6106	—	4	1	no	—
657	#6106	—	4	1	no	—
658	#6106	—	4	1	no	—
659	#6105	—	2	2	no	—
660	#6105	—	4	1	no	—
661	#6104	—	2	2	no	—
662	#6104	—	4	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	C₂×D₄	1	1	yes	characteristic
680	#6103	C₂×D₄	1	1	yes	characteristic
681	#6103	C₂×D₄	1	1	yes	characteristic
682	#6103	C₂×D₄	1	1	yes	characteristic
683	C₄⋊Dic₁₃	—	2	1	no	—
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	—	2	1	no	—
686	C₄⋊Dic₁₃	—	2	1	no	—
687	C₄⋊Dic₁₃	—	2	1	no	—
688	C₄⋊Dic₁₃	—	2	1	no	—
689	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	C₂×D₄	1	1	yes	characteristic
710	#6101	C₂×D₄	1	1	yes	characteristic
711	#6101	C₂×D₄	1	1	yes	characteristic
712	#6101	C₂×D₄	1	1	yes	characteristic
713	C₄×Dic₁₃	—	2	1	no	—
714	C₄×Dic₁₃	—	2	1	no	—
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
723	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
724	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
725	C₂×#1055	—	4	1	no	—
726	C₂×#1055	—	4	1	no	—
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	Dic₅₂	—	4	1	no	—
732	D₁₀₄	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6095	—	4	1	no	—
735	C₈×D₁₃	—	4	1	no	—
736	C₈×D₁₃	—	4	1	no	—
737	C₈×D₁₃	—	4	1	no	—
738	C₈×D₁₃	—	4	1	no	—
739	#3520	—	13	1	no	—
740	D₄×#41	—	13	1	no	—
741	#3304	—	13	1	no	—
742	#3302	—	13	1	no	—
743	#3300	—	13	1	no	—
744	#3300	—	13	1	no	—
745	#3298	—	13	1	no	—
746	#3296	—	13	1	no	—
747	#3296	—	13	1	no	—
748	#3294	—	13	1	no	—
749	D₄×Q₁₆	—	13	1	no	—
750	#3285	—	13	1	no	—
751	#3285	—	13	1	no	—
752	#3284	—	13	1	no	—
753	#3283	—	13	1	no	—
754	#3282	—	13	1	no	—
755	#3282	—	13	1	no	—
756	D₄×SD₁₆	—	13	1	no	—
757	#3212	—	13	1	no	—
758	#3210	—	13	1	no	—
759	#3191	—	13	1	no	—
760	#3191	—	13	1	no	—
761	#3190	—	13	1	no	—
762	#3190	—	13	1	no	—
763	#3107	—	13	1	no	—
764	#3102	—	13	1	no	—
765	#3002	—	13	1	no	—
766	#3002	—	13	1	no	—
767	C₂×#452	—	13	1	no	—
768	C₂×#452	D₁₃	1	1	yes	characteristic, complemented
769	#2972	—	13	1	no	—
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	2	2	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	4	1	no	—
774	C₂³×C₁₃	—	4	1	no	—
775	C₂³×C₁₃	—	4	2	no	—
776	C₂³×C₁₃	—	4	2	no	—
777	C₂³×C₁₃	—	8	1	no	—
778	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂²×D₁₃	—	2	2	no	—
782	C₂²×D₁₃	—	2	1	no	—
783	C₂²×D₁₃	—	2	1	no	—
784	C₂²×D₁₃	—	4	1	no	—
785	C₂²×D₁₃	—	4	1	no	—
786	C₂²×D₁₃	—	4	2	no	—
787	C₂²×D₁₃	—	4	2	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
791	Q₈×C₁₃	—	2	1	no	—
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	2	1	no	—
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	2	1	no	—
798	Q₈×C₁₃	—	4	2	no	—
799	Q₈×C₁₃	—	8	1	no	—
800	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
801	D₄×C₁₃	—	2	4	no	—
802	D₄×C₁₃	—	2	1	no	—
803	D₄×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	4	2	no	—
806	D₄×C₁₃	—	4	2	no	—
807	D₄×C₁₃	—	4	2	no	—
808	D₄×C₁₃	—	4	2	no	—
809	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
810	C₂×C₄×C₁₃	—	2	4	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	4	1	no	—
824	C₂×C₄×C₁₃	—	4	1	no	—
825	C₂×C₄×C₁₃	—	4	1	no	—
826	C₂×C₄×C₁₃	—	4	2	no	—
827	C₂×C₄×C₁₃	—	4	2	no	—
828	C₂×C₄×C₁₃	—	4	2	no	—
829	C₂×C₄×C₁₃	—	4	2	no	—
830	C₂×C₄×C₁₃	—	4	2	no	—
831	C₂×C₄×C₁₃	—	8	1	no	—
832	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
836	C₂²⋊D₁₃	—	2	2	no	—
837	C₂²⋊D₁₃	—	2	2	no	—
838	C₂²⋊D₁₃	—	2	2	no	—
839	C₂²⋊D₁₃	—	4	2	no	—
840	C₂²⋊D₁₃	—	4	2	no	—
841	C₂²⋊D₁₃	—	4	2	no	—
842	C₂²⋊D₁₃	—	4	2	no	—
843	C₂²⋊D₁₃	—	4	2	no	—
844	C₂²⋊D₁₃	—	4	2	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	4	2	no	—
847	C₂²⋊D₁₃	—	8	1	no	—
848	C₂²⋊D₁₃	—	8	1	no	—
849	C₂²⋊D₁₃	—	8	1	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂²⋊D₁₃	#135	1	4	yes	complemented
852	C₂×Dic₁₃	—	2	2	no	—
853	C₂×Dic₁₃	—	2	1	no	—
854	C₂×Dic₁₃	—	2	1	no	—
855	C₂×Dic₁₃	—	2	1	no	—
856	C₂×Dic₁₃	—	2	1	no	—
857	C₂×Dic₁₃	—	2	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	4	1	no	—
860	C₂×Dic₁₃	—	4	1	no	—
861	C₂×Dic₁₃	—	4	2	no	—
862	C₂×Dic₁₃	—	4	2	no	—
863	C₂×Dic₁₃	—	8	1	no	—
864	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
865	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
866	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
867	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
868	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
869	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
870	D₅₂	—	2	1	no	—
871	D₅₂	—	2	1	no	—
872	D₅₂	—	2	1	no	—
873	D₅₂	—	2	1	no	—
874	D₅₂	—	4	2	no	—
875	D₅₂	—	4	2	no	—
876	D₅₂	—	8	1	no	—
877	C₄×D₁₃	—	2	1	no	—
878	C₄×D₁₃	—	2	1	no	—
879	C₄×D₁₃	—	2	1	no	—
880	C₄×D₁₃	—	2	1	no	—
881	C₄×D₁₃	—	4	1	no	—
882	C₄×D₁₃	—	4	1	no	—
883	C₄×D₁₃	—	4	2	no	—
884	C₄×D₁₃	—	4	2	no	—
885	C₄×D₁₃	—	4	2	no	—
886	C₄×D₁₃	—	4	2	no	—
887	C₄×D₁₃	—	4	2	no	—
888	C₄×D₁₃	—	8	1	no	—
889	C₄×D₁₃	—	8	1	no	—
890	C₄×D₁₃	—	8	1	no	—
891	Dic₂₆	—	2	1	no	—
892	Dic₂₆	—	2	1	no	—
893	Dic₂₆	—	2	1	no	—
894	Dic₂₆	—	2	1	no	—
895	Dic₂₆	—	4	2	no	—
896	Dic₂₆	—	4	2	no	—
897	Dic₂₆	—	8	1	no	—
898	C₈×C₁₃	—	2	1	no	—
899	C₈×C₁₃	—	2	1	no	—
900	C₈×C₁₃	—	2	1	no	—
901	C₈×C₁₃	—	2	1	no	—
902	#1055	—	2	1	no	—
903	#1055	—	2	1	no	—
904	#1055	—	2	1	no	—
905	#1055	—	2	1	no	—
906	C₂²×#41	—	13	1	no	—
907	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic
908	C₂×#135	—	13	1	no	—
909	C₂×#135	—	13	1	no	—
910	C₂×#135	—	13	1	no	—
911	C₂×#135	—	13	1	no	—
912	C₂²×Q₁₆	—	13	1	no	—
913	C₂²×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
914	C₂²×SD₁₆	—	13	1	no	—
915	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
916	#556	—	13	1	no	—
917	#554	—	26	1	no	—
918	#552	—	13	1	no	—
919	#552	—	13	1	no	—
920	#551	—	26	1	no	—
921	#551	—	26	1	no	—
922	#550	—	13	1	no	—
923	D₄×Q₈	—	13	1	no	—
924	D₄×Q₈	—	13	1	no	—
925	#548	—	13	1	no	—
926	#548	—	13	1	no	—
927	#548	—	13	1	no	—
928	#548	—	13	1	no	—
929	#547	—	13	1	no	—
930	#547	—	13	1	no	—
931	#547	—	13	1	no	—
932	#547	—	26	1	no	—
933	#546	—	13	1	no	—
934	#546	—	13	1	no	—
935	#546	—	26	1	no	—
936	#546	—	26	1	no	—
937	#546	—	26	1	no	—
938	D₄²	—	13	1	no	—
939	D₄²	—	26	1	no	—
940	#542	—	26	1	no	—
941	#539	—	26	1	no	—
942	#539	—	26	1	no	—
943	#533	—	13	1	no	—
944	#532	—	13	1	no	—
945	#532	—	26	1	no	—
946	#529	—	13	1	no	—
947	#525	—	13	1	no	—
948	#525	—	13	1	no	—
949	#525	—	13	1	no	—
950	#525	—	13	1	no	—
951	#525	—	26	1	no	—
952	#525	—	26	1	no	—
953	C₂×C₂²⋊Q₈	—	13	1	no	—
954	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
955	#520	—	26	1	no	—
956	C₄×#41	—	13	1	no	—
957	C₂×C₄×D₄	—	13	1	no	—
958	C₂×C₄×D₄	—	26	1	no	—
959	#495	—	13	1	no	—
960	#495	—	13	1	no	—
961	#494	—	13	1	no	—
962	#492	—	13	1	no	—
963	#488	—	13	1	no	—
964	#488	—	13	1	no	—
965	#487	—	13	1	no	—
966	#486	—	13	1	no	—
967	#485	—	13	1	no	—
968	#485	—	13	1	no	—
969	#485	—	13	1	no	—
970	#485	—	13	1	no	—
971	#485	—	13	1	no	—
972	#483	—	13	1	no	—
973	#483	—	13	1	no	—
974	#482	—	13	1	no	—
975	#482	—	13	1	no	—
976	#482	—	13	1	no	—
977	#480	—	13	1	no	—
978	#480	—	13	1	no	—
979	#479	—	13	1	no	—
980	#478	—	13	1	no	—
981	#475	—	13	1	no	—
982	#474	—	13	1	no	—
983	#467	—	13	1	no	—
984	#467	—	13	1	no	—
985	#467	—	13	1	no	—
986	#467	—	13	1	no	—
987	#467	—	13	1	no	—
988	#467	—	13	1	no	—
989	#466	—	13	1	no	—
990	#466	—	13	1	no	—
991	#465	—	13	1	no	—
992	#465	—	13	1	no	—
993	#465	—	13	1	no	—
994	#465	—	13	1	no	—
995	#465	—	13	1	no	—
996	#465	—	13	1	no	—
997	#465	—	13	1	no	—
998	#465	—	13	1	no	—
999	#464	—	13	1	no	—
1000	#464	—	13	1	no	—
1001	#464	—	13	1	no	—
1002	#464	—	13	1	no	—
1003	#464	—	13	1	no	—
1004	#463	—	13	1	no	—
1005	#462	—	13	1	no	—
1006	#462	—	13	1	no	—
1007	#461	—	13	1	no	—
1008	#461	—	13	1	no	—
1009	#460	—	13	1	no	—
1010	#459	—	13	1	no	—
1011	#452	—	13	1	no	—
1012	#452	—	13	1	no	—
1013	#452	—	13	1	no	—
1014	#452	—	13	1	no	—
1015	#452	—	13	1	no	—
1016	#452	—	13	1	no	—
1017	#452	—	13	1	no	—
1018	#452	—	13	1	no	—
1019	#452	—	13	1	no	—
1020	#452	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	C₂×D₁₃	1	1	yes	characteristic
1023	#452	C₂×D₁₃	1	1	yes	characteristic
1024	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1025	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1026	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1028	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1030	#451	—	13	1	no	—
1031	#451	—	13	1	no	—
1032	#451	—	13	1	no	—
1033	#451	—	13	1	no	—
1034	#450	—	13	1	no	—
1035	#450	—	13	1	no	—
1036	#449	—	13	1	no	—
1037	#449	—	13	1	no	—
1038	#449	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#448	—	13	1	no	—
1042	#448	—	13	1	no	—
1043	#448	—	13	1	no	—
1044	#448	—	13	1	no	—
1045	#447	—	13	1	no	—
1046	#447	—	13	1	no	—
1047	C₄×Q₁₆	—	13	1	no	—
1048	C₄×Q₁₆	—	13	1	no	—
1049	C₄×Q₁₆	—	13	1	no	—
1050	C₄×SD₁₆	—	13	1	no	—
1051	C₄×SD₁₆	—	13	1	no	—
1052	C₄×SD₁₆	—	13	1	no	—
1053	C₄×SD₁₆	—	13	1	no	—
1054	C₄×D₈	—	13	1	no	—
1055	C₈×D₄	—	13	1	no	—
1056	C₈×D₄	—	13	1	no	—
1057	C₈×D₄	—	13	1	no	—
1058	C₈×D₄	—	13	1	no	—
1059	C₈×D₄	—	13	1	no	—
1060	C₈×D₄	—	13	1	no	—
1061	C₈×D₄	—	13	1	no	—
1062	C₈×D₄	—	13	1	no	—
1063	#431	—	13	1	no	—
1064	#431	—	13	1	no	—
1065	#416	—	13	1	no	—
1066	#416	—	13	1	no	—
1067	#416	—	13	1	no	—
1068	#416	—	13	1	no	—
1069	C₂×#103	—	13	1	no	—
1070	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1071	C₂×#102	—	13	1	no	—
1072	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1073	C₂×C₂²⋊C₈	—	13	1	no	—
1074	C₂×C₂²⋊C₈	—	13	1	no	—
1075	C₂×C₂²⋊C₈	—	13	1	no	—
1076	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	1	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	2	2	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	—	4	1	no	—
1089	C₂²×C₁₃	—	4	1	no	—
1090	C₂²×C₁₃	—	4	1	no	—
1091	C₂²×C₁₃	—	8	2	no	—
1092	C₂²×C₁₃	—	8	4	no	—
1093	C₂²×C₁₃	C₂×#135	1	2	yes	—
1094	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1095	C₂×D₁₃	—	2	1	no	—
1096	C₂×D₁₃	—	2	1	no	—
1097	C₂×D₁₃	—	2	1	no	—
1098	C₂×D₁₃	—	2	1	no	—
1099	C₂×D₁₃	—	2	1	no	—
1100	C₂×D₁₃	—	4	1	no	—
1101	C₂×D₁₃	—	4	1	no	—
1102	C₂×D₁₃	—	4	1	no	—
1103	C₂×D₁₃	—	4	1	no	—
1104	C₂×D₁₃	—	4	1	no	—
1105	C₂×D₁₃	—	4	1	no	—
1106	C₂×D₁₃	—	8	2	no	—
1107	C₂×D₁₃	—	8	4	no	—
1108	C₂×D₁₃	C₂×#135	1	2	yes	—
1109	C₄×C₁₃	—	2	2	no	—
1110	C₄×C₁₃	—	2	1	no	—
1111	C₄×C₁₃	—	2	1	no	—
1112	C₄×C₁₃	—	2	1	no	—
1113	C₄×C₁₃	—	4	1	no	—
1114	C₄×C₁₃	—	4	1	no	—
1115	C₄×C₁₃	—	4	1	no	—
1116	C₄×C₁₃	—	4	1	no	—
1117	C₄×C₁₃	—	4	1	no	—
1118	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1119	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1120	Dic₁₃	—	2	1	no	—
1121	Dic₁₃	—	2	1	no	—
1122	Dic₁₃	—	2	1	no	—
1123	Dic₁₃	—	2	1	no	—
1124	Dic₁₃	—	2	1	no	—
1125	Dic₁₃	—	4	1	no	—
1126	Dic₁₃	—	4	1	no	—
1127	Dic₁₃	—	4	1	no	—
1128	Dic₁₃	—	4	1	no	—
1129	Dic₁₃	—	4	1	no	—
1130	Dic₁₃	—	4	1	no	—
1131	Dic₁₃	C₂×#135	1	2	yes	—
1132	C₂×#41	—	2	1	no	—
1133	C₂×#41	—	2	1	no	—
1134	C₂×#41	—	4	2	no	—
1135	C₂×#41	—	4	2	no	—
1136	C₂×#41	—	13	1	no	—
1137	C₂×#41	—	13	1	no	—
1138	C₂×#41	—	13	1	no	—
1139	C₂×#41	—	13	1	no	—
1140	C₂×#41	—	13	1	no	—
1141	C₂×#41	—	26	1	no	—
1142	C₂×#41	—	26	1	no	—
1143	C₂×#41	—	26	1	no	—
1144	C₂×#41	—	52	2	no	—
1145	C₂×#41	—	52	2	no	—
1146	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1147	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1150	C₂²×Q₈	—	13	1	no	—
1151	C₂²×Q₈	—	13	1	no	—
1152	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1154	C₂²×D₄	—	2	1	no	—
1155	C₂²×D₄	—	13	1	no	—
1156	C₂²×D₄	—	13	1	no	—
1157	C₂²×D₄	—	26	1	no	—
1158	C₂²×D₄	—	26	1	no	—
1159	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1160	C₂³×C₄	—	2	1	no	—
1161	C₂³×C₄	—	13	1	no	—
1162	C₂³×C₄	—	26	1	no	—
1163	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1164	#135	—	52	2	no	—
1165	#135	—	52	2	no	—
1166	#135	—	52	2	no	—
1167	#135	—	52	2	no	—
1168	C₂×Q₁₆	—	4	2	no	—
1169	C₂×Q₁₆	—	13	1	no	—
1170	C₂×Q₁₆	—	13	1	no	—
1171	C₂×Q₁₆	—	13	1	no	—
1172	C₂×Q₁₆	—	13	1	no	—
1173	C₂×Q₁₆	—	13	1	no	—
1174	C₂×Q₁₆	—	52	2	no	—
1175	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1176	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1177	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1178	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×SD₁₆	—	4	2	no	—
1180	C₂×SD₁₆	—	13	1	no	—
1181	C₂×SD₁₆	—	13	1	no	—
1182	C₂×SD₁₆	—	13	1	no	—
1183	C₂×SD₁₆	—	13	1	no	—
1184	C₂×SD₁₆	—	13	1	no	—
1185	C₂×SD₁₆	—	13	1	no	—
1186	C₂×SD₁₆	—	13	1	no	—
1187	C₂×SD₁₆	—	13	1	no	—
1188	C₂×SD₁₆	—	52	2	no	—
1189	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1190	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1191	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1192	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1193	C₂×D₈	—	13	1	no	—
1194	C₂×D₈	—	13	1	no	—
1195	C₂×D₈	—	13	1	no	—
1196	C₂²×C₈	—	13	1	no	—
1197	C₂²×C₈	—	13	1	no	—
1198	C₂²×C₈	—	13	1	no	—
1199	C₂²×C₈	—	13	1	no	—
1200	C₂²×C₈	—	13	1	no	—
1201	C₂²×C₈	—	13	1	no	—
1202	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1203	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1204	C₄⋊Q₈	—	13	1	no	—
1205	C₄⋊Q₈	—	13	1	no	—
1206	C₄⋊Q₈	—	13	1	no	—
1207	C₄⋊Q₈	—	26	1	no	—
1208	C₄⋊Q₈	—	26	1	no	—
1209	#127	—	13	1	no	—
1210	#127	—	26	1	no	—
1211	#126	—	26	1	no	—
1212	#126	—	26	1	no	—
1213	#126	—	26	1	no	—
1214	#126	—	26	1	no	—
1215	#126	—	26	1	no	—
1216	#125	—	13	1	no	—
1217	#125	—	26	1	no	—
1218	#125	—	26	1	no	—
1219	#125	—	26	1	no	—
1220	#124	—	13	1	no	—
1221	#124	—	13	1	no	—
1222	#124	—	13	1	no	—
1223	#124	—	26	1	no	—
1224	#124	—	26	1	no	—
1225	#124	—	26	1	no	—
1226	#124	—	26	1	no	—
1227	#124	—	26	1	no	—
1228	#123	—	26	1	no	—
1229	#123	—	26	1	no	—
1230	#123	—	26	1	no	—
1231	#123	—	26	1	no	—
1232	#123	—	26	1	no	—
1233	#123	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	—	2	1	no	—
1245	C₂²⋊Q₈	—	13	1	no	—
1246	C₂²⋊Q₈	—	13	1	no	—
1247	C₂²⋊Q₈	—	13	1	no	—
1248	C₂²⋊Q₈	—	13	1	no	—
1249	C₂²⋊Q₈	—	13	1	no	—
1250	C₂²⋊Q₈	—	13	1	no	—
1251	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	—	26	1	no	—
1266	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1270	#121	—	13	1	no	—
1271	#121	—	13	1	no	—
1272	#121	—	13	1	no	—
1273	#121	—	13	1	no	—
1274	#121	—	13	1	no	—
1275	#121	—	13	1	no	—
1276	#121	—	13	1	no	—
1277	#121	—	26	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#120	—	26	1	no	—
1291	#120	—	26	1	no	—
1292	#120	—	26	1	no	—
1293	#120	—	26	1	no	—
1294	#120	—	26	1	no	—
1295	#120	—	26	1	no	—
1296	#120	—	26	1	no	—
1297	#120	—	26	1	no	—
1298	C₄×Q₈	—	13	1	no	—
1299	C₄×Q₈	—	13	1	no	—
1300	C₄×Q₈	—	13	1	no	—
1301	C₄×Q₈	—	13	1	no	—
1302	C₄×Q₈	—	13	1	no	—
1303	C₄×Q₈	—	26	1	no	—
1304	C₄×Q₈	—	26	1	no	—
1305	C₄×D₄	—	13	1	no	—
1306	C₄×D₄	—	13	1	no	—
1307	C₄×D₄	—	13	1	no	—
1308	C₄×D₄	—	13	1	no	—
1309	C₄×D₄	—	13	1	no	—
1310	C₄×D₄	—	13	1	no	—
1311	C₄×D₄	—	13	1	no	—
1312	C₄×D₄	—	13	1	no	—
1313	C₄×D₄	—	13	1	no	—
1314	C₄×D₄	—	13	1	no	—
1315	C₄×D₄	—	13	1	no	—
1316	C₄×D₄	—	26	1	no	—
1317	C₄×D₄	—	26	1	no	—
1318	C₄×D₄	—	26	1	no	—
1319	C₄×D₄	—	26	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	—	26	1	no	—
1333	C₄×D₄	—	26	1	no	—
1334	C₄×D₄	—	26	1	no	—
1335	C₄×D₄	—	26	1	no	—
1336	#117	—	13	1	no	—
1337	#117	—	13	1	no	—
1338	#117	—	13	1	no	—
1339	#117	—	26	1	no	—
1340	#117	—	26	1	no	—
1341	#117	—	26	1	no	—
1342	#117	—	26	1	no	—
1343	#117	—	26	1	no	—
1344	C₂×C₄⋊C₄	—	2	1	no	—
1345	C₂×C₄⋊C₄	—	13	1	no	—
1346	C₂×C₄⋊C₄	—	13	1	no	—
1347	C₂×C₄⋊C₄	—	26	1	no	—
1348	C₂×C₄⋊C₄	—	26	1	no	—
1349	C₂×C₄⋊C₄	—	26	1	no	—
1350	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1351	C₂×C₂²⋊C₄	—	2	1	no	—
1352	C₂×C₂²⋊C₄	—	13	1	no	—
1353	C₂×C₂²⋊C₄	—	13	1	no	—
1354	C₂×C₂²⋊C₄	—	26	1	no	—
1355	C₂×C₂²⋊C₄	—	26	1	no	—
1356	C₂×C₂²⋊C₄	—	26	1	no	—
1357	C₂×C₄²	—	13	1	no	—
1358	C₂×C₄²	—	26	1	no	—
1359	#107	—	13	1	no	—
1360	#107	—	13	1	no	—
1361	#107	—	13	1	no	—
1362	#107	—	13	1	no	—
1363	#106	—	13	1	no	—
1364	#106	—	13	1	no	—
1365	#106	—	13	1	no	—
1366	#106	—	13	1	no	—
1367	C₄⋊C₈	—	13	1	no	—
1368	C₄⋊C₈	—	13	1	no	—
1369	C₄⋊C₈	—	13	1	no	—
1370	C₄⋊C₈	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	—	13	1	no	—
1383	#103	—	13	1	no	—
1384	#103	—	13	1	no	—
1385	#103	C₂²×D₁₃	1	1	yes	characteristic
1386	#103	C₂²×D₁₃	1	1	yes	characteristic
1387	#103	C₂²×D₁₃	1	1	yes	characteristic
1388	#103	C₂²×D₁₃	1	1	yes	characteristic
1389	#102	—	13	1	no	—
1390	#102	—	13	1	no	—
1391	#102	—	13	1	no	—
1392	#102	—	13	1	no	—
1393	#102	—	13	1	no	—
1394	#102	—	13	1	no	—
1395	#102	—	13	1	no	—
1396	#102	—	13	1	no	—
1397	#102	—	13	1	no	—
1398	#102	—	13	1	no	—
1399	#102	C₂²×D₁₃	1	1	yes	characteristic
1400	#102	C₂²×D₁₃	1	1	yes	characteristic
1401	#102	C₂²×D₁₃	1	1	yes	characteristic
1402	#102	C₂²×D₁₃	1	1	yes	characteristic
1403	C₂²⋊C₈	—	13	1	no	—
1404	C₂²⋊C₈	—	13	1	no	—
1405	C₂²⋊C₈	—	13	1	no	—
1406	C₂²⋊C₈	—	13	1	no	—
1407	C₂²⋊C₈	—	13	1	no	—
1408	C₂²⋊C₈	—	13	1	no	—
1409	C₂²⋊C₈	—	13	1	no	—
1410	C₂²⋊C₈	—	13	1	no	—
1411	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1412	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1413	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1414	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1415	C₄×C₈	—	13	1	no	—
1416	C₄×C₈	—	13	1	no	—
1417	C₄×C₈	—	13	1	no	—
1418	C₄×C₈	—	13	1	no	—
1419	C₂×C₁₃	—	2	2	no	—
1420	C₂×C₁₃	—	4	1	no	—
1421	C₂×C₁₃	—	4	2	no	—
1422	C₂×C₁₃	—	4	1	no	—
1423	C₂×C₁₃	—	8	1	no	—
1424	C₂×C₁₃	#3484	1	1	yes	characteristic
1425	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1426	C₂×C₁₃	#3586	1	1	yes	characteristic
1427	D₁₃	—	2	2	no	—
1428	D₁₃	—	4	1	no	—
1429	D₁₃	—	8	1	no	—
1430	D₁₃	—	8	1	no	—
1431	C₂⁴	—	2	1	no	—
1432	C₂⁴	—	13	1	no	—
1433	C₂⁴	—	26	1	no	—
1434	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1435	#41	—	2	2	no	—
1436	#41	—	2	2	no	—
1437	#41	—	2	2	no	—
1438	#41	—	2	2	no	—
1439	#41	—	4	1	no	—
1440	#41	—	4	1	no	—
1441	#41	—	4	1	no	—
1442	#41	—	4	1	no	—
1443	#41	—	4	4	no	—
1444	#41	—	4	4	no	—
1445	#41	—	26	2	no	—
1446	#41	—	26	2	no	—
1447	#41	—	52	1	no	—
1448	#41	—	52	1	no	—
1449	#41	—	52	4	no	—
1450	#41	—	52	1	no	—
1451	#41	—	52	1	no	—
1452	#41	—	52	4	no	—
1453	#41	—	52	1	no	—
1454	#41	—	52	1	no	—
1455	#41	—	52	1	no	—
1456	#41	—	52	1	no	—
1457	#41	—	52	4	no	—
1458	C₂×Q₈	—	2	1	no	—
1459	C₂×Q₈	—	2	1	no	—
1460	C₂×Q₈	—	2	2	no	—
1461	C₂×Q₈	—	4	1	no	—
1462	C₂×Q₈	—	4	1	no	—
1463	C₂×Q₈	—	4	1	no	—
1464	C₂×Q₈	—	13	1	no	—
1465	C₂×Q₈	—	13	1	no	—
1466	C₂×Q₈	—	26	1	no	—
1467	C₂×Q₈	—	26	1	no	—
1468	C₂×Q₈	—	26	1	no	—
1469	C₂×Q₈	—	26	2	no	—
1470	C₂×Q₈	—	52	1	no	—
1471	C₂×Q₈	—	52	1	no	—
1472	C₂×Q₈	—	52	1	no	—
1473	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1474	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1475	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1476	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	2	no	—
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	4	1	no	—
1484	C₂×D₄	—	4	4	no	—
1485	C₂×D₄	—	13	1	no	—
1486	C₂×D₄	—	13	1	no	—
1487	C₂×D₄	—	13	1	no	—
1488	C₂×D₄	—	13	1	no	—
1489	C₂×D₄	—	13	1	no	—
1490	C₂×D₄	—	13	1	no	—
1491	C₂×D₄	—	26	1	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	4	no	—
1498	C₂×D₄	—	26	2	no	—
1499	C₂×D₄	—	26	1	no	—
1500	C₂×D₄	—	26	1	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	1	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	52	1	no	—
1509	C₂×D₄	—	52	4	no	—
1510	C₂×D₄	—	52	4	no	—
1511	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1512	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	2	1	no	—
1520	C₂²×C₄	—	4	1	no	—
1521	C₂²×C₄	—	4	1	no	—
1522	C₂²×C₄	—	4	4	no	—
1523	C₂²×C₄	—	13	1	no	—
1524	C₂²×C₄	—	13	1	no	—
1525	C₂²×C₄	—	13	1	no	—
1526	C₂²×C₄	—	13	1	no	—
1527	C₂²×C₄	—	13	1	no	—
1528	C₂²×C₄	—	13	1	no	—
1529	C₂²×C₄	—	13	1	no	—
1530	C₂²×C₄	—	26	1	no	—
1531	C₂²×C₄	—	26	1	no	—
1532	C₂²×C₄	—	26	1	no	—
1533	C₂²×C₄	—	26	1	no	—
1534	C₂²×C₄	—	26	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	—	52	1	no	—
1542	C₂²×C₄	—	52	1	no	—
1543	C₂²×C₄	—	52	4	no	—
1544	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1545	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1546	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1547	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1548	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1550	Q₁₆	—	2	2	no	—
1551	Q₁₆	—	2	2	no	—
1552	Q₁₆	—	4	1	no	—
1553	Q₁₆	—	4	1	no	—
1554	Q₁₆	—	26	2	no	—
1555	Q₁₆	—	52	1	no	—
1556	Q₁₆	—	52	1	no	—
1557	Q₁₆	—	52	1	no	—
1558	Q₁₆	—	52	1	no	—
1559	SD₁₆	—	2	2	no	—
1560	SD₁₆	—	2	2	no	—
1561	SD₁₆	—	4	1	no	—
1562	SD₁₆	—	4	1	no	—
1563	SD₁₆	—	26	2	no	—
1564	SD₁₆	—	26	2	no	—
1565	SD₁₆	—	52	1	no	—
1566	SD₁₆	—	52	1	no	—
1567	SD₁₆	—	52	1	no	—
1568	SD₁₆	—	52	1	no	—
1569	SD₁₆	—	52	1	no	—
1570	SD₁₆	—	52	1	no	—
1571	D₈	—	26	2	no	—
1572	D₈	—	52	1	no	—
1573	D₈	—	52	1	no	—
1574	C₂×C₈	—	4	1	no	—
1575	C₂×C₈	—	4	1	no	—
1576	C₂×C₈	—	13	1	no	—
1577	C₂×C₈	—	13	1	no	—
1578	C₂×C₈	—	13	1	no	—
1579	C₂×C₈	—	13	1	no	—
1580	C₂×C₈	—	52	1	no	—
1581	C₂×C₈	—	52	1	no	—
1582	C₂×C₈	—	52	1	no	—
1583	C₂×C₈	—	52	1	no	—
1584	C₂×C₈	—	52	1	no	—
1585	C₂×C₈	—	52	1	no	—
1586	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1587	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1588	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1589	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	13	1	no	—
1596	C₄⋊C₄	—	13	1	no	—
1597	C₄⋊C₄	—	13	1	no	—
1598	C₄⋊C₄	—	13	1	no	—
1599	C₄⋊C₄	—	13	1	no	—
1600	C₄⋊C₄	—	13	1	no	—
1601	C₄⋊C₄	—	13	1	no	—
1602	C₄⋊C₄	—	13	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	—	26	1	no	—
1605	C₄⋊C₄	—	26	1	no	—
1606	C₄⋊C₄	—	26	1	no	—
1607	C₄⋊C₄	—	26	1	no	—
1608	C₄⋊C₄	—	26	1	no	—
1609	C₄⋊C₄	—	26	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	—	26	1	no	—
1614	C₄⋊C₄	—	26	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	—	26	1	no	—
1619	C₄⋊C₄	—	26	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1626	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	13	1	no	—
1632	C₂²⋊C₄	—	13	1	no	—
1633	C₂²⋊C₄	—	13	1	no	—
1634	C₂²⋊C₄	—	13	1	no	—
1635	C₂²⋊C₄	—	13	1	no	—
1636	C₂²⋊C₄	—	13	1	no	—
1637	C₂²⋊C₄	—	13	1	no	—
1638	C₂²⋊C₄	—	13	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₂²⋊C₄	—	26	1	no	—
1643	C₂²⋊C₄	—	26	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₄²	—	13	1	no	—
1668	C₄²	—	13	1	no	—
1669	C₄²	—	13	1	no	—
1670	C₄²	—	13	1	no	—
1671	C₄²	—	26	1	no	—
1672	C₄²	—	26	1	no	—
1673	C₄²	—	26	1	no	—
1674	C₄²	—	26	1	no	—
1675	C₄²	—	26	1	no	—
1676	C₄²	—	26	1	no	—
1677	C₄²	—	26	1	no	—
1678	C₄²	—	26	1	no	—
1679	C₁₃	#61568	1	1	yes	characteristic, complemented, Sylow
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	2	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	4	1	no	—
1684	C₂³	—	4	1	no	—
1685	C₂³	—	4	2	no	—
1686	C₂³	—	4	2	no	—
1687	C₂³	—	8	1	no	—
1688	C₂³	—	13	1	no	—
1689	C₂³	—	13	1	no	—
1690	C₂³	—	26	2	no	—
1691	C₂³	—	26	1	no	—
1692	C₂³	—	26	1	no	—
1693	C₂³	—	52	1	no	—
1694	C₂³	—	52	1	no	—
1695	C₂³	—	52	2	no	—
1696	C₂³	—	52	2	no	—
1697	C₂³	—	104	1	no	—
1698	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1699	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1700	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	2	1	no	—
1708	Q₈	—	4	2	no	—
1709	Q₈	—	8	1	no	—
1710	Q₈	—	26	1	no	—
1711	Q₈	—	26	1	no	—
1712	Q₈	—	26	1	no	—
1713	Q₈	—	26	1	no	—
1714	Q₈	—	52	2	no	—
1715	Q₈	—	52	2	no	—
1716	Q₈	—	104	1	no	—
1717	Q₈	#88251	1	2	yes	—
1718	D₄	—	2	4	no	—
1719	D₄	—	2	1	no	—
1720	D₄	—	2	1	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	4	2	no	—
1723	D₄	—	4	2	no	—
1724	D₄	—	4	2	no	—
1725	D₄	—	4	2	no	—
1726	D₄	—	13	4	no	—
1727	D₄	—	26	2	no	—
1728	D₄	—	26	2	no	—
1729	D₄	—	26	2	no	—
1730	D₄	—	26	1	no	—
1731	D₄	—	26	1	no	—
1732	D₄	—	26	1	no	—
1733	D₄	—	26	1	no	—
1734	D₄	—	52	2	no	—
1735	D₄	—	52	2	no	—
1736	D₄	—	52	2	no	—
1737	D₄	—	52	2	no	—
1738	D₄	—	52	2	no	—
1739	D₄	—	52	2	no	—
1740	D₄	—	52	2	no	—
1741	D₄	—	52	2	no	—
1742	D₄	—	52	2	no	—
1743	D₄	—	52	2	no	—
1744	D₄	—	104	1	no	—
1745	D₄	—	104	1	no	—
1746	D₄	—	104	1	no	—
1747	D₄	—	104	1	no	—
1748	D₄	—	104	1	no	—
1749	D₄	#88251	1	2	yes	—
1750	C₂×C₄	—	2	4	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	4	1	no	—
1764	C₂×C₄	—	4	1	no	—
1765	C₂×C₄	—	4	1	no	—
1766	C₂×C₄	—	4	2	no	—
1767	C₂×C₄	—	4	2	no	—
1768	C₂×C₄	—	4	2	no	—
1769	C₂×C₄	—	4	2	no	—
1770	C₂×C₄	—	4	2	no	—
1771	C₂×C₄	—	8	1	no	—
1772	C₂×C₄	—	13	1	no	—
1773	C₂×C₄	—	13	1	no	—
1774	C₂×C₄	—	13	1	no	—
1775	C₂×C₄	—	13	1	no	—
1776	C₂×C₄	—	13	1	no	—
1777	C₂×C₄	—	13	1	no	—
1778	C₂×C₄	—	26	2	no	—
1779	C₂×C₄	—	26	1	no	—
1780	C₂×C₄	—	26	1	no	—
1781	C₂×C₄	—	26	1	no	—
1782	C₂×C₄	—	26	1	no	—
1783	C₂×C₄	—	26	1	no	—
1784	C₂×C₄	—	26	1	no	—
1785	C₂×C₄	—	26	1	no	—
1786	C₂×C₄	—	26	1	no	—
1787	C₂×C₄	—	26	1	no	—
1788	C₂×C₄	—	26	1	no	—
1789	C₂×C₄	—	52	1	no	—
1790	C₂×C₄	—	52	1	no	—
1791	C₂×C₄	—	52	2	no	—
1792	C₂×C₄	—	52	2	no	—
1793	C₂×C₄	—	52	2	no	—
1794	C₂×C₄	—	52	2	no	—
1795	C₂×C₄	—	52	2	no	—
1796	C₂×C₄	—	52	2	no	—
1797	C₂×C₄	—	52	1	no	—
1798	C₂×C₄	—	52	1	no	—
1799	C₂×C₄	—	52	2	no	—
1800	C₂×C₄	—	104	1	no	—
1801	C₂×C₄	—	104	1	no	—
1802	C₂×C₄	—	104	1	no	—
1803	C₂×C₄	—	104	1	no	—
1804	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1805	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1806	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1807	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	26	1	no	—
1813	C₈	—	26	1	no	—
1814	C₈	—	26	1	no	—
1815	C₈	—	26	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	2	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	4	1	no	—
1826	C₂²	—	4	1	no	—
1827	C₂²	—	4	1	no	—
1828	C₂²	—	4	1	no	—
1829	C₂²	—	4	1	no	—
1830	C₂²	—	8	2	no	—
1831	C₂²	—	8	4	no	—
1832	C₂²	—	13	2	no	—
1833	C₂²	—	26	1	no	—
1834	C₂²	—	26	1	no	—
1835	C₂²	—	26	1	no	—
1836	C₂²	—	26	1	no	—
1837	C₂²	—	26	1	no	—
1838	C₂²	—	52	1	no	—
1839	C₂²	—	52	1	no	—
1840	C₂²	—	52	1	no	—
1841	C₂²	—	52	1	no	—
1842	C₂²	—	52	1	no	—
1843	C₂²	—	52	1	no	—
1844	C₂²	—	104	2	no	—
1845	C₂²	—	104	4	no	—
1846	C₂²	D₁₃×#135	1	2	yes	—
1847	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1848	C₄	—	2	1	no	—
1849	C₄	—	2	2	no	—
1850	C₄	—	2	1	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	4	1	no	—
1853	C₄	—	4	1	no	—
1854	C₄	—	4	1	no	—
1855	C₄	—	4	1	no	—
1856	C₄	—	4	1	no	—
1857	C₄	—	13	2	no	—
1858	C₄	—	26	1	no	—
1859	C₄	—	26	1	no	—
1860	C₄	—	26	1	no	—
1861	C₄	—	26	1	no	—
1862	C₄	—	26	1	no	—
1863	C₄	—	52	1	no	—
1864	C₄	—	52	1	no	—
1865	C₄	—	52	1	no	—
1866	C₄	—	52	1	no	—
1867	C₄	—	52	1	no	—
1868	C₄	—	52	1	no	—
1869	C₄	C₂×#88251	1	1	yes	characteristic
1870	C₄	C₂×#88251	1	1	yes	characteristic
1871	C₂	—	2	2	no	—
1872	C₂	—	4	1	no	—
1873	C₂	—	4	1	no	—
1874	C₂	—	4	2	no	—
1875	C₂	—	8	1	no	—
1876	C₂	—	26	2	no	—
1877	C₂	—	52	1	no	—
1878	C₂	—	104	1	no	—
1879	C₂	—	104	1	no	—
1880	C₂	#13128465	1	1	yes	characteristic
1881	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1882	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	C₂×C₁₃×#452	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	C₂×#452	D₁₃
hypocenter	C₁₃	#61568
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂×#452

Complements

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

N	H ≅ G/N	type
1. #13128879	C₂	semidirect
2. #41×C₂²⋊D₁₃	C₂	semidirect
3. #13126768	C₂	semidirect
4. #13126746	C₂	semidirect
5. #13126719	C₂	semidirect
6. #13126716	C₂	semidirect
7. #13126697	C₂	semidirect
8. #13126667	C₂	semidirect
9. #13126664	C₂	semidirect
10. #13126645	C₂	semidirect
11. Q₁₆×C₂²⋊D₁₃	C₂	semidirect
12. #13126577	C₂	semidirect
13. #13126575	C₂	semidirect
14. #13126559	C₂	semidirect
15. #13126551	C₂	semidirect
16. #13126543	C₂	semidirect
17. #13126541	C₂	semidirect
18. SD₁₆×C₂²⋊D₁₃	C₂	semidirect
19. #13125815	C₂	semidirect
20. #13125790	C₂	semidirect
21. #13125629	C₂	semidirect
22. #13125628	C₂	semidirect
23. #13125617	C₂	semidirect
24. #13125615	C₂	semidirect
25. #13124900	C₂	semidirect
26. #13124855	C₂	semidirect
27. #13124057	C₂	semidirect
28. #13124054	C₂	semidirect
29. D₁₃×#452	C₂	semidirect
30. #13123858	C₂	semidirect
31. C₂×C₁₃×#452	C₂	semidirect
34. C₂²×C₁₃×Q₁₆	C₂²	semidirect
35. C₂²×C₁₃×SD₁₆	C₂²	semidirect
36. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
48. C₂×#88204	C₂²	semidirect
49. C₂×#88204	C₂²	semidirect
51. #11719522	C₂²	semidirect
60. #11719496	C₂²	semidirect
63. C₂×#88173	C₂²	semidirect
64. C₂×Q₁₆×D₁₃	C₂²	semidirect
65. C₂×#88170	C₂²	semidirect
66. C₂×SD₁₆×D₁₃	C₂²	semidirect
67. #11719346	C₂²	semidirect
69. #11719344	C₂²	semidirect
73. #11719338	C₂²	semidirect
74. #11719336	C₂²	semidirect
75. #11719332	C₂²	semidirect
76. D₁₃×C₂²⋊Q₈	C₂²	semidirect
77. #11719329	C₂²	semidirect
78. #11719327	C₂²	semidirect
80. #11719218	C₂²	semidirect
87. C₁₃×#452	C₂²	semidirect
88. C₁₃×#452	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
91. C₁₃×#452	C₂²	semidirect
92. C₁₃×#452	C₂²	semidirect
93. C₂×C₁₃×#103	C₂²	semidirect
94. C₂×C₁₃×#102	C₂²	semidirect
95. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
97. #11718900	C₂²	semidirect
99. #11718899	C₂²	semidirect
100. #11718894	C₂²	semidirect
101. #11718894	C₂²	semidirect
102. #11718889	C₂²	semidirect
103. #11718889	C₂²	semidirect
104. #11718888	C₂²	semidirect
105. #11718888	C₂²	semidirect
106. #11718879	C₂²	semidirect
107. #11718878	C₂²	semidirect
108. C₂×C₂²⋊#1055	C₂²	semidirect
109. #11718852	C₂²	semidirect
110. #11718849	C₂²	semidirect
111. #11718849	C₂²	semidirect
112. #11718848	C₂²	semidirect
113. #11718848	C₂²	semidirect
114. #11718847	C₂²	semidirect
115. #11718847	C₂²	semidirect
116. #11718846	C₂²	semidirect
117. #11718846	C₂²	semidirect
118. Q₁₆×Dic₁₃	C₂²	semidirect
119. Q₁₆×Dic₁₃	C₂²	semidirect
120. #11718843	C₂²	semidirect
121. #11718843	C₂²	semidirect
122. #11718842	C₂²	semidirect
123. #11718836	C₂²	semidirect
124. #11718834	C₂²	semidirect
125. #11718833	C₂²	semidirect
126. #11718832	C₂²	semidirect
127. #11718832	C₂²	semidirect
128. #11718831	C₂²	semidirect
129. #11718830	C₂²	semidirect
130. #11718829	C₂²	semidirect
131. #11718827	C₂²	semidirect
132. #11718826	C₂²	semidirect
133. #11718824	C₂²	semidirect
134. #11718823	C₂²	semidirect
135. SD₁₆×Dic₁₃	C₂²	semidirect
136. SD₁₆×Dic₁₃	C₂²	semidirect
137. #11718777	C₂²	semidirect
138. #11718776	C₂²	semidirect
139. #11718775	C₂²	semidirect
140. #11718775	C₂²	semidirect
143. C₈×C₂²⋊D₁₃	C₂²	semidirect
144. C₈×C₂²⋊D₁₃	C₂²	semidirect
145. #11718712	C₂²	semidirect
146. #11718712	C₂²	semidirect
147. #11718709	C₂²	semidirect
148. #11718709	C₂²	semidirect
149. #11718708	C₂²	semidirect
150. #11718708	C₂²	semidirect
151. #11718706	C₂²	semidirect
152. #11718706	C₂²	semidirect
153. #11718632	C₂²	semidirect
154. #11718628	C₂²	semidirect
155. #11718479	C₂²	semidirect
156. #11718476	C₂²	semidirect
157. #11718474	C₂²	semidirect
158. #11718471	C₂²	semidirect
159. #11718468	C₂²	semidirect
160. #11718467	C₂²	semidirect
161. #11718466	C₂²	semidirect
162. #11718465	C₂²	semidirect
163. D₁₃×#103	C₂²	semidirect
164. #11718461	C₂²	semidirect
165. #11718460	C₂²	semidirect
166. #11718459	C₂²	semidirect
167. #11718453	C₂²	semidirect
168. #11718452	C₂²	semidirect
169. #11718451	C₂²	semidirect
170. #11718449	C₂²	semidirect
171. #11718447	C₂²	semidirect
172. #11718445	C₂²	semidirect
173. #11718444	C₂²	semidirect
174. #11718439	C₂²	semidirect
175. #11718436	C₂²	semidirect
176. #11718435	C₂²	semidirect
177. #11718434	C₂²	semidirect
178. #11718433	C₂²	semidirect
179. D₁₃×#102	C₂²	semidirect
180. #11718429	C₂²	semidirect
181. #11718428	C₂²	semidirect
182. #11718427	C₂²	semidirect
183. #11718421	C₂²	semidirect
184. #11718420	C₂²	semidirect
185. #11718419	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718398	C₂²	semidirect
188. #11718398	C₂²	semidirect
189. #11718395	C₂²	semidirect
190. #11718395	C₂²	semidirect
191. #11718394	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718386	C₂²	semidirect
194. #11718386	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. D₁₃×C₂²⋊C₈	C₂²	semidirect
199. #11718384	C₂²	semidirect
200. #11718384	C₂²	semidirect
201. #11718379	C₂²	semidirect
202. #11718379	C₂²	semidirect
768. C₂×#452	D₁₃	semidirect
851. C₂²⋊D₁₃	#135	semidirect
913. C₂²×Q₁₆	C₂×D₁₃	semidirect
915. C₂²×SD₁₆	C₂×D₁₃	semidirect
954. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
1024. #452	C₂×D₁₃	semidirect
1025. #452	C₂×D₁₃	semidirect
1026. #452	C₂×D₁₃	semidirect
1027. #452	C₂×D₁₃	semidirect
1028. #452	C₂×D₁₃	semidirect
1029. #452	C₂×D₁₃	semidirect
1070. C₂×#103	C₂×D₁₃	semidirect
1072. C₂×#102	C₂×D₁₃	semidirect
1076. C₂×C₂²⋊C₈	C₂×D₁₃	semidirect
1679. C₁₃	#61568	semidirect

Maximal subgroups

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

subgroup	index
#13128879	2
#41×C₂²⋊D₁₃	2
#13126768	2
#13126746	2
#13126719	2
#13126716	2
#13126697	2
#13126667	2
#13126664	2
#13126645	2
Q₁₆×C₂²⋊D₁₃	2
#13126577	2
#13126575	2
#13126559	2
#13126551	2
#13126543	2
#13126541	2
SD₁₆×C₂²⋊D₁₃	2
#13125815	2
#13125790	2
#13125629	2
#13125628	2
#13125617	2
#13125615	2
#13124900	2
#13124855	2
#13124057	2
#13124054	2
D₁₃×#452	2
#13123858	2
C₂×C₁₃×#452	2
#61568	13