Subgroups — D₁₃×#3311 #16739581

Order 3328.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#546	C₂	1	1	yes	maximal, characteristic
3	#13126879	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126878	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126877	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126876	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126875	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126874	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126873	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126872	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126871	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126870	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126869	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126868	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126867	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126866	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126865	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#476	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#470	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#418	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	1	yes	characteristic
36	#11719534	C₂²	1	1	yes	characteristic
37	#11719511	C₂²	1	1	yes	characteristic
38	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
42	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	#11719437	C₂²	1	1	yes	characteristic, complemented
44	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	D₁₃×#126	—	2	1	no	—
46	D₁₃×#126	—	2	1	no	—
47	#11719407	—	2	1	no	—
48	#11719407	—	2	1	no	—
49	#11719381	C₂²	1	1	yes	characteristic
50	D₁₃×#124	—	2	1	no	—
51	D₁₃×#124	C₂²	1	1	yes	characteristic
52	#11719376	—	2	1	no	—
53	#11719359	—	2	1	no	—
54	D₁₃×#123	—	2	1	no	—
55	#11719346	C₂²	1	1	yes	characteristic, complemented
56	#11719346	C₂²	1	1	yes	characteristic, complemented
57	#11719335	C₂²	1	1	yes	characteristic
58	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
61	#11719317	C₂²	1	1	yes	characteristic
62	#11719315	—	2	1	no	—
63	D₁₃×#121	—	2	1	no	—
64	D₁₃×#121	C₂²	1	1	yes	characteristic
65	#11719296	—	2	1	no	—
66	D₁₃×#120	—	2	1	no	—
67	#11719289	C₂²	1	1	yes	characteristic, complemented
68	C₄×Q₈×D₁₃	—	2	1	no	—
69	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
70	#11719273	—	2	1	no	—
71	#11719259	C₂²	1	1	yes	characteristic
72	#11719255	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
75	#11719247	C₂²	1	1	yes	characteristic, complemented
76	#11719238	C₂²	1	1	yes	characteristic, complemented
77	#11719238	C₂²	1	1	yes	characteristic, complemented
78	D₁₃×#117	C₂²	1	1	yes	characteristic
79	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
80	#11719195	—	2	1	no	—
81	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718900	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718879	C₂²	1	1	yes	characteristic, complemented
98	#11718876	C₂²	1	1	yes	characteristic, complemented
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718848	C₂²	1	1	yes	characteristic, complemented
101	#11718846	C₂²	1	1	yes	characteristic, complemented
102	#11718834	C₂²	1	1	yes	characteristic, complemented
103	#11718832	C₂²	1	1	yes	characteristic, complemented
104	#11718830	C₂²	1	1	yes	characteristic, complemented
105	#11718830	C₂²	1	1	yes	characteristic, complemented
106	#11718827	C₂²	1	1	yes	characteristic, complemented
107	#11718825	C₂²	1	1	yes	characteristic, complemented
108	#11718798	C₂²	1	1	yes	characteristic, complemented
109	#11718792	C₂²	1	1	yes	characteristic, complemented
110	#11718788	C₂²	1	1	yes	characteristic, complemented
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718750	C₂²	1	1	yes	characteristic, complemented
115	#11718745	C₂²	1	1	yes	characteristic, complemented
116	#11718716	C₂²	1	1	yes	characteristic, complemented
117	#11718715	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718709	C₂²	1	1	yes	characteristic, complemented
121	#11718708	C₂²	1	1	yes	characteristic, complemented
122	#11718707	C₂²	1	1	yes	characteristic, complemented
123	#11718706	C₂²	1	1	yes	characteristic, complemented
124	#11718702	C₂²	1	1	yes	characteristic, complemented
125	#11718696	C₂²	1	1	yes	characteristic, complemented
126	#11718689	C₂²	1	1	yes	characteristic, complemented
127	#11718687	C₂²	1	1	yes	characteristic, complemented
128	#11718679	C₂²	1	1	yes	characteristic, complemented
129	#11718672	C₂²	1	1	yes	characteristic, complemented
130	#11718669	C₂²	1	1	yes	characteristic, complemented
131	#11718664	C₂²	1	1	yes	characteristic, complemented
132	#11718663	C₂²	1	1	yes	characteristic, complemented
133	#11718662	C₂²	1	1	yes	characteristic, complemented
134	#11718657	C₂²	1	1	yes	characteristic, complemented
135	#11718550	C₂²	1	1	yes	characteristic, complemented
136	#11718549	C₂²	1	1	yes	characteristic, complemented
137	#11718546	C₂²	1	1	yes	characteristic, complemented
138	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
139	#11718531	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718529	C₂²	1	1	yes	characteristic, complemented
142	#11718528	C₂²	1	1	yes	characteristic, complemented
143	#11718527	C₂²	1	1	yes	characteristic, complemented
144	#11718525	C₂²	1	1	yes	characteristic, complemented
145	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
146	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
147	#11718506	C₂²	1	1	yes	characteristic, complemented
148	#11718503	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#11718478	C₂²	1	1	yes	characteristic, complemented
152	#11718477	C₂²	1	1	yes	characteristic, complemented
153	#11718477	C₂²	1	1	yes	characteristic, complemented
154	#11718476	C₂²	1	1	yes	characteristic, complemented
155	#11718475	C₂²	1	1	yes	characteristic, complemented
156	#11718471	C₂²	1	1	yes	characteristic, complemented
157	#11718468	C₂²	1	1	yes	characteristic, complemented
158	#11718465	C₂²	1	1	yes	characteristic, complemented
159	#11718465	C₂²	1	1	yes	characteristic, complemented
160	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
161	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
162	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
163	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
164	#11718459	C₂²	1	1	yes	characteristic, complemented
165	#11718456	C₂²	1	1	yes	characteristic, complemented
166	#11718456	C₂²	1	1	yes	characteristic, complemented
167	#11718445	C₂²	1	1	yes	characteristic, complemented
168	#11718444	C₂²	1	1	yes	characteristic, complemented
169	#11718440	C₂²	1	1	yes	characteristic, complemented
170	#11718439	C₂²	1	1	yes	characteristic, complemented
171	#11718437	C₂²	1	1	yes	characteristic, complemented
172	#11718437	C₂²	1	1	yes	characteristic, complemented
173	#11718433	C₂²	1	1	yes	characteristic, complemented
174	#11718433	C₂²	1	1	yes	characteristic, complemented
175	#11718431	C₂²	1	1	yes	characteristic, complemented
176	#11718431	C₂²	1	1	yes	characteristic, complemented
177	#11718431	C₂²	1	1	yes	characteristic, complemented
178	#11718431	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#102	C₂²	1	1	yes	characteristic
180	D₁₃×#102	C₂²	1	1	yes	characteristic
181	D₁₃×#102	C₂²	1	1	yes	characteristic
182	D₁₃×#102	C₂²	1	1	yes	characteristic
183	D₁₃×#102	C₂²	1	1	yes	characteristic
184	D₁₃×#102	C₂²	1	1	yes	characteristic
185	#11718428	C₂²	1	1	yes	characteristic, complemented
186	#11718426	C₂²	1	1	yes	characteristic, complemented
187	#11718426	C₂²	1	1	yes	characteristic, complemented
188	#11718422	C₂²	1	1	yes	characteristic, complemented
189	#11718422	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718392	C₂²	1	1	yes	characteristic, complemented
194	#11718391	C₂²	1	1	yes	characteristic, complemented
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718375	C₂²	1	1	yes	characteristic, complemented
200	#11718371	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	D₁₃×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	#41×D₁₃	—	2	4	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₃	—	2	1	no	—
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₃	—	2	4	no	—
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	4	2	no	—
221	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
222	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×#6127	—	2	1	no	—
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂²×D₅₂	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
237	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#126	—	2	1	no	—
241	C₁₃×#124	—	2	1	no	—
242	C₁₃×#124	C₂³	1	1	yes	characteristic
243	C₁₃×#123	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₁₃×#120	—	2	1	no	—
250	C₄×Q₈×C₁₃	—	2	1	no	—
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
256	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
257	#88207	—	2	1	no	—
258	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
259	#88201	—	2	1	no	—
260	#88201	C₂³	1	1	yes	characteristic
261	#88200	C₂³	1	1	yes	characteristic
262	#88200	C₂³	1	1	yes	characteristic
263	#88200	C₂³	1	1	yes	characteristic, complemented
264	Q₈×Dic₁₃	—	2	1	no	—
265	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
266	#88198	—	2	1	no	—
267	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
268	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
269	C₂×#6106	C₂³	1	1	yes	characteristic
270	C₂×#6106	C₂³	1	1	yes	characteristic
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88192	—	2	1	no	—
275	#88192	C₂³	1	1	yes	characteristic
276	#88191	—	2	1	no	—
277	#88191	—	2	1	no	—
278	#88191	—	2	1	no	—
279	#88190	—	2	1	no	—
280	#88190	C₂³	1	1	yes	characteristic
281	#88189	—	2	1	no	—
282	D₄×Dic₁₃	D₄	1	1	yes	characteristic
283	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×#6105	C₂³	1	1	yes	characteristic
285	C₂×#6105	C₂³	1	1	yes	characteristic
286	#88184	—	2	1	no	—
287	#88184	C₂³	1	1	yes	characteristic
288	#88183	—	2	1	no	—
289	C₄×C₂²⋊D₁₃	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
291	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
292	C₂×#6103	—	2	1	no	—
293	C₂×#6103	—	2	1	no	—
294	#88180	C₂³	1	1	yes	characteristic
295	#88180	C₂³	1	1	yes	characteristic, complemented
296	#88178	C₂³	1	1	yes	characteristic
297	#88178	C₂³	1	1	yes	characteristic
298	#88178	C₂³	1	1	yes	characteristic, complemented
299	C₂×#6099	C₂³	1	1	yes	characteristic
300	C₂²×#1055	C₂³	1	1	yes	characteristic, complemented
301	Q₁₆×D₁₃	—	4	2	no	—
302	SD₁₆×D₁₃	—	2	4	no	—
303	SD₁₆×D₁₃	—	4	2	no	—
304	M₁₆×D₁₃	—	4	2	no	—
305	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
306	C₂×#6095	C₂³	1	1	yes	characteristic
307	C₂×#6095	C₂³	1	1	yes	characteristic
308	C₂×#6094	C₂³	1	1	yes	characteristic
309	C₂×#6094	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₁₃	—	4	2	no	—
311	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
316	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
317	#88152	—	2	1	no	—
318	#88152	—	2	1	no	—
319	#88152	—	2	1	no	—
320	#88152	—	2	1	no	—
321	#88152	—	2	1	no	—
322	#88152	—	2	1	no	—
323	#88151	C₂³	1	1	yes	characteristic
324	#88151	C₂³	1	1	yes	characteristic
325	#88151	C₂³	1	1	yes	characteristic, complemented
326	#88150	—	2	1	no	—
327	#88150	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88149	—	2	1	no	—
330	#88149	C₂³	1	1	yes	characteristic
331	#88148	—	2	1	no	—
332	#88148	—	2	1	no	—
333	#88147	D₄	1	1	yes	characteristic
334	#88147	C₂³	1	1	yes	characteristic
335	#88146	C₂³	1	1	yes	characteristic
336	#88146	C₂³	1	1	yes	characteristic
337	#88146	C₂³	1	1	yes	characteristic, complemented
338	#88146	C₂³	1	1	yes	characteristic, complemented
339	C₄⋊C₄×D₁₃	—	2	1	no	—
340	C₄⋊C₄×D₁₃	—	2	1	no	—
341	C₄⋊C₄×D₁₃	—	2	1	no	—
342	C₄⋊C₄×D₁₃	—	2	1	no	—
343	C₄⋊C₄×D₁₃	—	2	1	no	—
344	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
345	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
346	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
347	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
348	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
349	#88142	—	2	1	no	—
350	#88142	C₂³	1	1	yes	characteristic, complemented
351	#88142	C₂³	1	1	yes	characteristic, complemented
352	#88141	—	2	1	no	—
353	#88141	—	2	1	no	—
354	#88141	—	2	1	no	—
355	#88141	—	2	1	no	—
356	#88141	C₂³	1	1	yes	characteristic, complemented
357	#88140	—	2	1	no	—
358	#88139	—	2	1	no	—
359	#88139	—	2	1	no	—
360	#88139	—	2	1	no	—
361	#88139	—	2	1	no	—
362	#88139	—	2	1	no	—
363	#88139	—	2	1	no	—
364	#88138	—	2	1	no	—
365	#88138	—	2	1	no	—
366	#88138	—	2	1	no	—
367	#88137	—	2	1	no	—
368	#88137	—	2	1	no	—
369	#88136	—	2	1	no	—
370	#88136	—	2	1	no	—
371	#88136	—	2	1	no	—
372	#88135	—	2	1	no	—
373	#88135	D₄	1	1	yes	characteristic
374	#88135	D₄	1	1	yes	characteristic
375	C₂²⋊C₄×D₁₃	—	2	1	no	—
376	C₂²⋊C₄×D₁₃	—	2	1	no	—
377	C₂²⋊C₄×D₁₃	—	2	1	no	—
378	C₂²⋊C₄×D₁₃	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	C₂²⋊C₄×D₁₃	—	2	1	no	—
382	C₂²⋊C₄×D₁₃	—	2	1	no	—
383	C₂²⋊C₄×D₁₃	—	2	1	no	—
384	C₂²⋊C₄×D₁₃	—	2	1	no	—
385	C₂²⋊C₄×D₁₃	—	2	1	no	—
386	C₂²⋊C₄×D₁₃	—	2	1	no	—
387	C₂²⋊C₄×D₁₃	—	2	1	no	—
388	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
389	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
390	#88133	—	2	1	no	—
391	#88133	—	2	1	no	—
392	#88133	—	2	1	no	—
393	#88133	—	2	1	no	—
394	#88133	—	2	1	no	—
395	#88133	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	—	2	1	no	—
399	#88131	—	2	1	no	—
400	#88131	—	2	1	no	—
401	#88130	—	2	1	no	—
402	#88130	—	2	1	no	—
403	#88129	—	2	1	no	—
404	#88129	C₂³	1	1	yes	characteristic
405	C₄×D₅₂	C₂³	1	1	yes	characteristic
406	C₄×D₅₂	C₂³	1	1	yes	characteristic
407	#88126	—	2	1	no	—
408	#88126	—	2	1	no	—
409	C₄²×D₁₃	—	2	1	no	—
410	C₄²×D₁₃	—	2	1	no	—
411	C₄²×D₁₃	—	2	1	no	—
412	C₄²×D₁₃	C₂³	1	1	yes	characteristic
413	#88123	C₂³	1	1	yes	characteristic, complemented
414	C₄×Dic₂₆	—	2	1	no	—
415	C₄×Dic₂₆	—	2	1	no	—
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
419	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
420	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
421	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
423	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
424	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
425	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
426	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
436	#88075	C₂³	1	1	yes	characteristic, complemented
437	#88075	C₂³	1	1	yes	characteristic, complemented
438	#88075	C₂³	1	1	yes	characteristic, complemented
439	#88075	C₂³	1	1	yes	characteristic, complemented
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic, complemented
457	#88060	C₂³	1	1	yes	characteristic, complemented
458	#88058	C₂³	1	1	yes	characteristic, complemented
459	#88057	C₂³	1	1	yes	characteristic, complemented
460	#88057	C₂³	1	1	yes	characteristic, complemented
461	#88056	C₂³	1	1	yes	characteristic, complemented
462	#88056	C₂³	1	1	yes	characteristic, complemented
463	#88056	C₂³	1	1	yes	characteristic, complemented
464	#88056	C₂³	1	1	yes	characteristic, complemented
465	#88055	C₂³	1	1	yes	characteristic, complemented
466	#88055	C₂³	1	1	yes	characteristic, complemented
467	#88054	C₂³	1	1	yes	characteristic, complemented
468	#88054	C₂³	1	1	yes	characteristic, complemented
469	#88050	C₂³	1	1	yes	characteristic, complemented
470	#88050	C₂³	1	1	yes	characteristic, complemented
471	#88050	C₂³	1	1	yes	characteristic, complemented
472	#88050	C₂³	1	1	yes	characteristic, complemented
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic, complemented
480	#88048	C₂³	1	1	yes	characteristic, complemented
481	#88048	C₂³	1	1	yes	characteristic, complemented
482	#88048	C₂³	1	1	yes	characteristic, complemented
483	#88047	C₂³	1	1	yes	characteristic, complemented
484	#88047	C₂³	1	1	yes	characteristic, complemented
485	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
486	#88043	C₂³	1	1	yes	characteristic, complemented
487	C₂×#3311	—	13	1	no	maximal, Sylow
488	C₂⁴×C₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	4	4	no	—
495	C₂³×D₁₃	—	4	4	no	—
496	C₂³×D₁₃	—	8	2	no	—
497	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
498	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
499	C₁₃×#41	—	2	2	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₂×Q₈×C₁₃	—	2	1	no	—
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×D₄×C₁₃	—	2	2	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	4	1	no	—
509	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	4	4	no	—
525	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
531	#6131	—	2	2	no	—
532	#6131	—	4	1	no	—
533	Q₈×D₁₃	—	2	2	no	—
534	Q₈×D₁₃	—	2	2	no	—
535	Q₈×D₁₃	—	2	2	no	—
536	Q₈×D₁₃	—	2	2	no	—
537	Q₈×D₁₃	—	4	4	no	—
538	#6129	—	2	2	no	—
539	#6129	—	4	1	no	—
540	#6129	—	4	4	no	—
541	D₄×D₁₃	—	2	2	no	—
542	D₄×D₁₃	—	2	2	no	—
543	D₄×D₁₃	—	2	2	no	—
544	D₄×D₁₃	—	2	2	no	—
545	D₄×D₁₃	—	2	2	no	—
546	D₄×D₁₃	—	4	1	no	—
547	D₄×D₁₃	—	4	1	no	—
548	D₄×D₁₃	—	4	4	no	—
549	D₄×D₁₃	—	4	2	no	—
550	D₄×D₁₃	—	4	4	no	—
551	D₄×D₁₃	—	4	4	no	—
552	D₄×D₁₃	—	8	2	no	—
553	D₄×D₁₃	#41	1	4	yes	—
554	#6127	—	2	2	no	—
555	#6127	—	4	1	no	—
556	#6127	—	4	4	no	—
557	C₂×D₅₂	—	2	2	no	—
558	C₂×D₅₂	—	2	1	no	—
559	C₂×D₅₂	—	2	1	no	—
560	C₂×D₅₂	—	2	1	no	—
561	C₂×D₅₂	—	4	1	no	—
562	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
563	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
564	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₁₃	—	2	2	no	—
566	C₂×C₄×D₁₃	—	2	2	no	—
567	C₂×C₄×D₁₃	—	2	2	no	—
568	C₂×C₄×D₁₃	—	2	2	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	4	4	no	—
580	C₂×C₄×D₁₃	—	8	2	no	—
581	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
586	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
587	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
590	C₂×Dic₂₆	—	2	1	no	—
591	C₂×Dic₂₆	—	2	1	no	—
592	C₂×Dic₂₆	—	2	1	no	—
593	C₂×Dic₂₆	—	2	1	no	—
594	C₂×Dic₂₆	—	2	1	no	—
595	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
597	C₁₃×Q₁₆	—	4	1	no	—
598	C₁₃×SD₁₆	—	2	2	no	—
599	C₁₃×SD₁₆	—	4	1	no	—
600	C₁₃×M₁₆	—	4	1	no	—
601	C₂×C₈×C₁₃	—	4	1	no	—
602	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₄²×C₁₃	—	2	1	no	—
628	C₄²×C₁₃	—	2	1	no	—
629	C₄²×C₁₃	—	2	1	no	—
630	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
642	#6107	—	4	1	no	—
643	#6107	—	4	1	no	—
644	#6106	—	2	2	no	—
645	#6106	—	4	1	no	—
646	#6105	—	2	2	no	—
647	#6105	—	4	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	C₂×D₄	1	1	yes	characteristic
667	#6103	C₂×D₄	1	1	yes	characteristic
668	#6103	C₂×D₄	1	1	yes	characteristic
669	#6103	C₂×D₄	1	1	yes	characteristic
670	C₄⋊Dic₁₃	—	2	1	no	—
671	C₄⋊Dic₁₃	—	2	1	no	—
672	C₄⋊Dic₁₃	—	2	1	no	—
673	C₄⋊Dic₁₃	—	2	1	no	—
674	C₄⋊Dic₁₃	—	2	1	no	—
675	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
676	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
678	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	C₂×D₄	1	1	yes	characteristic
695	#6101	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	—	2	1	no	—
705	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
708	#6099	—	4	1	no	—
709	C₂×#1055	—	4	1	no	—
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	Dic₅₂	—	4	1	no	—
715	#6095	—	2	2	no	—
716	#6095	—	4	1	no	—
717	#6094	—	4	1	no	—
718	#6094	—	4	1	no	—
719	C₈×D₁₃	—	2	2	no	—
720	C₈×D₁₃	—	2	2	no	—
721	C₈×D₁₃	—	2	2	no	—
722	C₈×D₁₃	—	2	2	no	—
723	C₈×D₁₃	—	4	1	no	—
724	C₈×D₁₃	—	4	1	no	—
725	C₂×#556	—	13	1	no	—
726	C₂×#546	—	13	1	no	—
727	#3311	—	13	1	no	—
728	#3311	—	13	1	no	—
729	#3311	—	13	1	no	—
730	#3311	—	13	1	no	—
731	#3311	—	13	1	no	—
732	#3311	—	13	1	no	—
733	#3311	—	13	1	no	—
734	#3311	—	13	1	no	—
735	#3311	—	13	1	no	—
736	#3311	—	13	1	no	—
737	#3311	—	13	1	no	—
738	#3311	—	13	1	no	—
739	#3311	—	13	1	no	—
740	#3311	—	13	1	no	—
741	#3311	—	13	1	no	—
742	#3311	D₁₃	1	1	yes	characteristic, direct product factor
743	C₂×#489	—	13	1	no	—
744	C₂×#485	—	13	1	no	—
745	C₂×#482	—	13	1	no	—
746	C₂×#476	—	13	1	no	—
747	C₂×#470	—	13	1	no	—
748	C₂×#465	—	13	1	no	—
749	C₂×#464	—	13	1	no	—
750	C₂×#452	—	13	1	no	—
751	C₂×#450	—	13	1	no	—
752	C₂×#440	—	13	1	no	—
753	C₂×#435	—	13	1	no	—
754	C₂×#418	—	13	1	no	—
755	C₂×#416	—	13	1	no	—
756	C₂³×C₁₃	—	2	1	no	—
757	C₂³×C₁₃	—	2	1	no	—
758	C₂³×C₁₃	—	4	2	no	—
759	C₂³×C₁₃	—	4	2	no	—
760	C₂³×C₁₃	—	8	1	no	—
761	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
763	C₂²×D₁₃	—	2	1	no	—
764	C₂²×D₁₃	—	2	2	no	—
765	C₂²×D₁₃	—	2	2	no	—
766	C₂²×D₁₃	—	2	4	no	—
767	C₂²×D₁₃	—	2	2	no	—
768	C₂²×D₁₃	—	2	2	no	—
769	C₂²×D₁₃	—	2	2	no	—
770	C₂²×D₁₃	—	2	2	no	—
771	C₂²×D₁₃	—	2	1	no	—
772	C₂²×D₁₃	—	4	2	no	—
773	C₂²×D₁₃	—	4	2	no	—
774	C₂²×D₁₃	—	4	2	no	—
775	C₂²×D₁₃	—	4	2	no	—
776	C₂²×D₁₃	—	4	2	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	4	2	no	—
779	C₂²×D₁₃	—	4	2	no	—
780	C₂²×D₁₃	—	4	2	no	—
781	C₂²×D₁₃	—	4	2	no	—
782	C₂²×D₁₃	—	4	2	no	—
783	C₂²×D₁₃	—	8	1	no	—
784	C₂²×D₁₃	—	8	1	no	—
785	C₂²×D₁₃	—	8	1	no	—
786	C₂²×D₁₃	—	8	16	no	—
787	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
790	Q₈×C₁₃	—	2	1	no	—
791	Q₈×C₁₃	—	2	1	no	—
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	4	2	no	—
795	D₄×C₁₃	—	2	1	no	—
796	D₄×C₁₃	—	2	1	no	—
797	D₄×C₁₃	—	2	1	no	—
798	D₄×C₁₃	—	4	1	no	—
799	D₄×C₁₃	—	4	2	no	—
800	D₄×C₁₃	—	4	2	no	—
801	D₄×C₁₃	—	8	1	no	—
802	D₄×C₁₃	C₂×#41	1	2	yes	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	4	2	no	—
814	C₂×C₄×C₁₃	—	8	1	no	—
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
820	C₂²⋊D₁₃	—	2	4	no	—
821	C₂²⋊D₁₃	—	4	1	no	—
822	C₂²⋊D₁₃	—	4	1	no	—
823	C₂²⋊D₁₃	—	4	2	no	—
824	C₂²⋊D₁₃	—	4	2	no	—
825	C₂²⋊D₁₃	—	4	2	no	—
826	C₂²⋊D₁₃	—	4	2	no	—
827	C₂²⋊D₁₃	—	4	2	no	—
828	C₂²⋊D₁₃	—	8	1	no	—
829	C₂²⋊D₁₃	—	8	1	no	—
830	C₂×Dic₁₃	—	2	2	no	—
831	C₂×Dic₁₃	—	2	2	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	2	1	no	—
834	C₂×Dic₁₃	—	2	1	no	—
835	C₂×Dic₁₃	—	2	1	no	—
836	C₂×Dic₁₃	—	2	1	no	—
837	C₂×Dic₁₃	—	2	1	no	—
838	C₂×Dic₁₃	—	4	2	no	—
839	C₂×Dic₁₃	—	8	1	no	—
840	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
841	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
842	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
843	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
845	D₅₂	—	2	1	no	—
846	D₅₂	—	2	1	no	—
847	D₅₂	—	2	1	no	—
848	D₅₂	—	4	1	no	—
849	D₅₂	—	4	2	no	—
850	D₅₂	—	4	2	no	—
851	D₅₂	—	8	1	no	—
852	D₅₂	C₂×#41	1	2	yes	—
853	C₄×D₁₃	—	2	2	no	—
854	C₄×D₁₃	—	2	2	no	—
855	C₄×D₁₃	—	2	2	no	—
856	C₄×D₁₃	—	2	2	no	—
857	C₄×D₁₃	—	2	1	no	—
858	C₄×D₁₃	—	2	1	no	—
859	C₄×D₁₃	—	2	1	no	—
860	C₄×D₁₃	—	2	1	no	—
861	C₄×D₁₃	—	2	2	no	—
862	C₄×D₁₃	—	2	2	no	—
863	C₄×D₁₃	—	4	2	no	—
864	C₄×D₁₃	—	4	2	no	—
865	C₄×D₁₃	—	4	2	no	—
866	C₄×D₁₃	—	4	2	no	—
867	C₄×D₁₃	—	4	2	no	—
868	C₄×D₁₃	—	4	2	no	—
869	C₄×D₁₃	—	4	2	no	—
870	C₄×D₁₃	—	4	2	no	—
871	C₄×D₁₃	—	8	1	no	—
872	C₄×D₁₃	—	8	1	no	—
873	C₄×D₁₃	C₂×#41	1	2	yes	—
874	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
875	Dic₂₆	—	2	1	no	—
876	Dic₂₆	—	2	1	no	—
877	Dic₂₆	—	2	1	no	—
878	Dic₂₆	—	2	1	no	—
879	Dic₂₆	—	4	2	no	—
880	Dic₂₆	—	4	2	no	—
881	Dic₂₆	—	4	2	no	—
882	Dic₂₆	—	4	2	no	—
883	Dic₂₆	—	4	2	no	—
884	C₈×C₁₃	—	2	1	no	—
885	C₈×C₁₃	—	2	1	no	—
886	C₈×C₁₃	—	2	1	no	—
887	C₈×C₁₃	—	2	1	no	—
888	#1055	—	2	1	no	—
889	#1055	—	2	1	no	—
890	#1055	—	2	1	no	—
891	#1055	—	2	1	no	—
892	C₂²×#41	—	13	1	no	—
893	C₂³×D₄	—	13	1	no	—
894	C₂²×Q₁₆	—	13	1	no	—
895	C₂²×SD₁₆	—	13	1	no	—
896	C₂²×SD₁₆	—	13	1	no	—
897	C₂²×M₁₆	—	13	1	no	—
898	C₂³×C₈	—	13	1	no	—
899	#556	—	13	1	no	—
900	#556	—	13	1	no	—
901	#556	—	13	1	no	—
902	#556	—	13	1	no	—
903	#556	—	13	1	no	—
904	#556	—	13	1	no	—
905	#556	—	13	1	no	—
906	#556	—	26	1	no	—
907	#556	—	26	1	no	—
908	#556	—	26	1	no	—
909	#556	—	26	1	no	—
910	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
911	#546	—	13	1	no	—
912	#546	—	13	1	no	—
913	#546	—	13	1	no	—
914	#546	—	13	1	no	—
915	#546	—	13	1	no	—
916	#546	—	13	1	no	—
917	#546	—	13	1	no	—
918	#546	—	26	1	no	—
919	#546	—	26	1	no	—
920	#546	—	26	1	no	—
921	#546	—	26	1	no	—
922	#546	C₂×D₁₃	1	1	yes	characteristic
923	C₂×C₄⋊Q₈	—	13	1	no	—
924	C₂×#126	—	26	1	no	—
925	C₂×#126	—	26	1	no	—
926	C₂×#124	—	13	1	no	—
927	C₂×#124	—	26	1	no	—
928	C₂×#123	—	26	1	no	—
929	C₂×C₂²⋊Q₈	—	13	1	no	—
930	C₂×C₂²⋊Q₈	—	13	1	no	—
931	C₂×C₂²⋊Q₈	—	13	1	no	—
932	C₂×#121	—	13	1	no	—
933	C₂×#121	—	26	1	no	—
934	C₂×#120	—	26	1	no	—
935	C₂×C₄×Q₈	—	13	1	no	—
936	C₂×C₄×Q₈	—	26	1	no	—
937	C₂×C₄×D₄	—	13	1	no	—
938	C₂×C₄×D₄	—	13	1	no	—
939	C₂×#117	—	13	1	no	—
940	C₂×#117	—	13	1	no	—
941	C₂²×C₂²⋊C₄	—	26	1	no	—
942	#489	—	13	1	no	—
943	#489	—	13	1	no	—
944	#489	—	13	1	no	—
945	#489	—	13	1	no	—
946	#489	—	13	1	no	—
947	#489	—	13	1	no	—
948	#489	—	13	1	no	—
949	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
950	#485	—	13	1	no	—
951	#485	—	13	1	no	—
952	#485	—	13	1	no	—
953	#485	—	13	1	no	—
954	#485	—	13	1	no	—
955	#485	—	13	1	no	—
956	#485	—	13	1	no	—
957	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#482	—	13	1	no	—
959	#482	—	13	1	no	—
960	#482	—	13	1	no	—
961	#482	—	13	1	no	—
962	#482	—	13	1	no	—
963	#482	—	13	1	no	—
964	#482	—	13	1	no	—
965	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#476	—	13	1	no	—
967	#476	—	13	1	no	—
968	#476	—	13	1	no	—
969	#476	—	13	1	no	—
970	#476	—	13	1	no	—
971	#476	—	13	1	no	—
972	#476	—	13	1	no	—
973	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#470	—	13	1	no	—
975	#470	—	13	1	no	—
976	#470	—	13	1	no	—
977	#470	—	13	1	no	—
978	#470	—	13	1	no	—
979	#470	—	13	1	no	—
980	#470	—	13	1	no	—
981	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
982	#465	—	13	1	no	—
983	#465	—	13	1	no	—
984	#465	—	13	1	no	—
985	#465	—	13	1	no	—
986	#465	—	13	1	no	—
987	#465	—	13	1	no	—
988	#465	—	13	1	no	—
989	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#464	—	13	1	no	—
991	#464	—	13	1	no	—
992	#464	—	13	1	no	—
993	#464	—	13	1	no	—
994	#464	—	13	1	no	—
995	#464	—	13	1	no	—
996	#464	—	13	1	no	—
997	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#452	—	13	1	no	—
999	#452	—	13	1	no	—
1000	#452	—	13	1	no	—
1001	#452	—	13	1	no	—
1002	#452	—	13	1	no	—
1003	#452	—	13	1	no	—
1004	#452	—	13	1	no	—
1005	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	#450	—	13	1	no	—
1007	#450	—	13	1	no	—
1008	#450	—	13	1	no	—
1009	#450	—	13	1	no	—
1010	#450	—	13	1	no	—
1011	#450	—	13	1	no	—
1012	#450	—	13	1	no	—
1013	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1014	#440	—	13	1	no	—
1015	#440	—	13	1	no	—
1016	#440	—	13	1	no	—
1017	#440	—	13	1	no	—
1018	#440	—	13	1	no	—
1019	#440	—	13	1	no	—
1020	#440	—	13	1	no	—
1021	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#435	—	13	1	no	—
1023	#435	—	13	1	no	—
1024	#435	—	13	1	no	—
1025	#435	—	13	1	no	—
1026	#435	—	13	1	no	—
1027	#435	—	13	1	no	—
1028	#435	—	13	1	no	—
1029	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1030	C₂×#107	—	13	1	no	—
1031	C₂×#106	—	13	1	no	—
1032	C₂×#106	—	13	1	no	—
1033	C₂×C₄⋊C₈	—	13	1	no	—
1034	#418	—	13	1	no	—
1035	#418	—	13	1	no	—
1036	#418	—	13	1	no	—
1037	#418	—	13	1	no	—
1038	#418	—	13	1	no	—
1039	#418	—	13	1	no	—
1040	#418	—	13	1	no	—
1041	#418	C₂×D₁₃	1	1	yes	characteristic, complemented
1042	#416	—	13	1	no	—
1043	#416	—	13	1	no	—
1044	#416	—	13	1	no	—
1045	#416	—	13	1	no	—
1046	#416	—	13	1	no	—
1047	#416	—	13	1	no	—
1048	#416	—	13	1	no	—
1049	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1050	C₂×#103	—	13	1	no	—
1051	C₂×#103	—	13	1	no	—
1052	C₂×#103	—	13	1	no	—
1053	C₂×#103	—	13	1	no	—
1054	C₂×#102	—	13	1	no	—
1055	C₂×#102	—	13	1	no	—
1056	C₂×#102	—	13	1	no	—
1057	C₂×#102	—	13	1	no	—
1058	C₂×#102	—	13	1	no	—
1059	C₂×#102	—	13	1	no	—
1060	C₂×C₂²⋊C₈	—	13	1	no	—
1061	C₂×C₂²⋊C₈	—	13	1	no	—
1062	C₂×#97	—	13	1	no	—
1063	C₂²×C₁₃	—	2	1	no	—
1064	C₂²×C₁₃	—	2	1	no	—
1065	C₂²×C₁₃	—	2	2	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	2	1	no	—
1068	C₂²×C₁₃	—	2	1	no	—
1069	C₂²×C₁₃	—	2	1	no	—
1070	C₂²×C₁₃	—	4	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	4	1	no	—
1073	C₂²×C₁₃	—	4	1	no	—
1074	C₂²×C₁₃	—	4	1	no	—
1075	C₂²×C₁₃	—	8	4	no	—
1076	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1077	C₂×D₁₃	—	2	1	no	—
1078	C₂×D₁₃	—	2	1	no	—
1079	C₂×D₁₃	—	2	2	no	—
1080	C₂×D₁₃	—	2	1	no	—
1081	C₂×D₁₃	—	2	1	no	—
1082	C₂×D₁₃	—	2	1	no	—
1083	C₂×D₁₃	—	2	1	no	—
1084	C₂×D₁₃	—	4	1	no	—
1085	C₂×D₁₃	—	4	1	no	—
1086	C₂×D₁₃	—	4	4	no	—
1087	C₂×D₁₃	—	4	4	no	—
1088	C₂×D₁₃	—	4	8	no	—
1089	C₂×D₁₃	—	4	1	no	—
1090	C₂×D₁₃	—	4	1	no	—
1091	C₂×D₁₃	—	4	1	no	—
1092	C₂×D₁₃	—	8	4	no	—
1093	C₂×D₁₃	—	8	4	no	—
1094	C₂×D₁₃	—	8	4	no	—
1095	C₂×D₁₃	—	8	4	no	—
1096	C₂×D₁₃	#546	1	2	yes	—
1097	C₂×D₁₃	#575	1	2	yes	—
1098	C₂×D₁₃	#577	1	2	yes	—
1099	C₄×C₁₃	—	2	1	no	—
1100	C₄×C₁₃	—	2	1	no	—
1101	C₄×C₁₃	—	2	1	no	—
1102	C₄×C₁₃	—	2	1	no	—
1103	C₄×C₁₃	—	4	1	no	—
1104	C₄×C₁₃	—	4	1	no	—
1105	C₄×C₁₃	—	4	1	no	—
1106	C₄×C₁₃	—	4	1	no	—
1107	C₄×C₁₃	—	4	1	no	—
1108	C₄×C₁₃	—	4	1	no	—
1109	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1110	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1111	Dic₁₃	—	2	1	no	—
1112	Dic₁₃	—	2	1	no	—
1113	Dic₁₃	—	2	1	no	—
1114	Dic₁₃	—	2	1	no	—
1115	Dic₁₃	—	4	1	no	—
1116	Dic₁₃	—	4	1	no	—
1117	Dic₁₃	—	4	1	no	—
1118	Dic₁₃	—	4	1	no	—
1119	Dic₁₃	—	4	1	no	—
1120	Dic₁₃	—	4	1	no	—
1121	Dic₁₃	#546	1	2	yes	—
1122	C₂⁵	—	26	1	no	—
1123	C₂×#41	—	13	1	no	—
1124	C₂×#41	—	13	1	no	—
1125	C₂×#41	—	13	1	no	—
1126	C₂×#41	—	26	1	no	—
1127	C₂×#41	—	26	1	no	—
1128	C₂×#41	—	26	4	no	—
1129	C₂×#41	—	52	2	no	—
1130	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1131	C₂²×Q₈	—	13	1	no	—
1132	C₂²×Q₈	—	13	1	no	—
1133	C₂²×Q₈	—	26	1	no	—
1134	C₂²×D₄	—	13	1	no	—
1135	C₂²×D₄	—	13	1	no	—
1136	C₂²×D₄	—	13	1	no	—
1137	C₂²×D₄	—	13	1	no	—
1138	C₂²×D₄	—	13	1	no	—
1139	C₂²×D₄	—	13	1	no	—
1140	C₂²×D₄	—	26	1	no	—
1141	C₂²×D₄	—	26	1	no	—
1142	C₂²×D₄	—	26	1	no	—
1143	C₂²×D₄	—	26	4	no	—
1144	C₂²×D₄	—	26	1	no	—
1145	C₂²×D₄	—	26	1	no	—
1146	C₂²×D₄	—	52	2	no	—
1147	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂³×C₄	—	13	1	no	—
1149	C₂³×C₄	—	13	1	no	—
1150	C₂³×C₄	—	26	1	no	—
1151	C₂³×C₄	—	26	1	no	—
1152	C₂×Q₁₆	—	13	1	no	—
1153	C₂×Q₁₆	—	13	1	no	—
1154	C₂×Q₁₆	—	13	1	no	—
1155	C₂×Q₁₆	—	52	2	no	—
1156	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1157	C₂×SD₁₆	—	13	1	no	—
1158	C₂×SD₁₆	—	13	1	no	—
1159	C₂×SD₁₆	—	13	1	no	—
1160	C₂×SD₁₆	—	13	1	no	—
1161	C₂×SD₁₆	—	13	1	no	—
1162	C₂×SD₁₆	—	13	1	no	—
1163	C₂×SD₁₆	—	26	4	no	—
1164	C₂×SD₁₆	—	52	2	no	—
1165	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂×M₁₆	—	13	1	no	—
1168	C₂×M₁₆	—	13	1	no	—
1169	C₂×M₁₆	—	13	1	no	—
1170	C₂×M₁₆	—	52	2	no	—
1171	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1172	C₂²×C₈	—	13	1	no	—
1173	C₂²×C₈	—	13	1	no	—
1174	C₂²×C₈	—	13	1	no	—
1175	C₂²×C₈	—	13	1	no	—
1176	C₂²×C₈	—	13	1	no	—
1177	C₂²×C₈	—	13	1	no	—
1178	C₂²×C₈	—	13	1	no	—
1179	C₂²×C₈	—	52	2	no	—
1180	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1181	C₄⋊Q₈	—	13	1	no	—
1182	C₄⋊Q₈	—	13	1	no	—
1183	C₄⋊Q₈	—	13	1	no	—
1184	C₄⋊Q₈	—	26	1	no	—
1185	C₄⋊Q₈	—	26	1	no	—
1186	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1187	#126	—	2	1	no	—
1188	#126	—	2	1	no	—
1189	#126	—	26	1	no	—
1190	#126	—	26	1	no	—
1191	#126	—	26	1	no	—
1192	#126	—	26	1	no	—
1193	#126	—	26	1	no	—
1194	#126	—	26	1	no	—
1195	#126	—	26	1	no	—
1196	#126	—	26	1	no	—
1197	#126	—	26	1	no	—
1198	#126	—	26	1	no	—
1199	#126	—	26	1	no	—
1200	#126	—	26	1	no	—
1201	#126	—	26	1	no	—
1202	#126	—	26	1	no	—
1203	#124	—	2	1	no	—
1204	#124	—	13	1	no	—
1205	#124	—	13	1	no	—
1206	#124	—	13	1	no	—
1207	#124	—	26	1	no	—
1208	#124	—	26	1	no	—
1209	#124	—	26	1	no	—
1210	#124	—	26	1	no	—
1211	#124	—	26	1	no	—
1212	#124	—	26	1	no	—
1213	#124	—	26	1	no	—
1214	#124	—	26	1	no	—
1215	#124	—	26	1	no	—
1216	#124	C₂²×D₁₃	1	1	yes	characteristic
1217	#123	—	2	1	no	—
1218	#123	—	26	1	no	—
1219	#123	—	26	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	C₂²⋊Q₈	—	13	1	no	—
1226	C₂²⋊Q₈	—	13	1	no	—
1227	C₂²⋊Q₈	—	13	1	no	—
1228	C₂²⋊Q₈	—	13	1	no	—
1229	C₂²⋊Q₈	—	13	1	no	—
1230	C₂²⋊Q₈	—	13	1	no	—
1231	C₂²⋊Q₈	—	13	1	no	—
1232	C₂²⋊Q₈	—	13	1	no	—
1233	C₂²⋊Q₈	—	13	1	no	—
1234	C₂²⋊Q₈	—	26	1	no	—
1235	C₂²⋊Q₈	—	26	1	no	—
1236	C₂²⋊Q₈	—	26	1	no	—
1237	C₂²⋊Q₈	—	26	1	no	—
1238	C₂²⋊Q₈	—	26	1	no	—
1239	C₂²⋊Q₈	—	26	1	no	—
1240	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1241	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1242	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1243	#121	—	2	1	no	—
1244	#121	—	13	1	no	—
1245	#121	—	13	1	no	—
1246	#121	—	13	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#121	—	26	1	no	—
1255	#121	—	26	1	no	—
1256	#121	C₂²×D₁₃	1	1	yes	characteristic
1257	#120	—	2	1	no	—
1258	#120	—	26	1	no	—
1259	#120	—	26	1	no	—
1260	#120	—	26	1	no	—
1261	#120	—	26	1	no	—
1262	#120	—	26	1	no	—
1263	#120	—	26	1	no	—
1264	#120	—	26	1	no	—
1265	C₄×Q₈	—	2	1	no	—
1266	C₄×Q₈	—	13	1	no	—
1267	C₄×Q₈	—	13	1	no	—
1268	C₄×Q₈	—	13	1	no	—
1269	C₄×Q₈	—	26	1	no	—
1270	C₄×Q₈	—	26	1	no	—
1271	C₄×Q₈	—	26	1	no	—
1272	C₄×Q₈	—	26	1	no	—
1273	C₄×Q₈	—	26	1	no	—
1274	C₄×Q₈	—	26	1	no	—
1275	C₄×Q₈	—	26	1	no	—
1276	C₄×Q₈	—	26	1	no	—
1277	C₄×Q₈	—	26	1	no	—
1278	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1279	C₄×D₄	—	13	1	no	—
1280	C₄×D₄	—	13	1	no	—
1281	C₄×D₄	—	13	1	no	—
1282	C₄×D₄	—	13	1	no	—
1283	C₄×D₄	—	13	1	no	—
1284	C₄×D₄	—	13	1	no	—
1285	C₄×D₄	—	13	1	no	—
1286	C₄×D₄	—	13	1	no	—
1287	C₄×D₄	—	13	1	no	—
1288	C₄×D₄	—	13	1	no	—
1289	C₄×D₄	—	26	1	no	—
1290	C₄×D₄	—	26	1	no	—
1291	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1292	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1293	#117	—	13	1	no	—
1294	#117	—	13	1	no	—
1295	#117	—	13	1	no	—
1296	#117	—	13	1	no	—
1297	#117	—	13	1	no	—
1298	#117	—	13	1	no	—
1299	#117	—	26	1	no	—
1300	#117	—	26	1	no	—
1301	#117	—	26	1	no	—
1302	#117	—	26	1	no	—
1303	#117	C₂²×D₁₃	1	1	yes	characteristic
1304	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
1305	C₂×C₄⋊C₄	—	13	1	no	—
1306	C₂×C₄⋊C₄	—	13	1	no	—
1307	C₂×C₄⋊C₄	—	13	1	no	—
1308	C₂×C₄⋊C₄	—	13	1	no	—
1309	C₂×C₄⋊C₄	—	13	1	no	—
1310	C₂×C₄⋊C₄	—	26	1	no	—
1311	C₂×C₄⋊C₄	—	26	1	no	—
1312	C₂×C₄⋊C₄	—	26	1	no	—
1313	C₂×C₄⋊C₄	—	26	1	no	—
1314	C₂×C₄⋊C₄	—	26	1	no	—
1315	C₂×C₂²⋊C₄	—	2	1	no	—
1316	C₂×C₂²⋊C₄	—	13	1	no	—
1317	C₂×C₂²⋊C₄	—	13	1	no	—
1318	C₂×C₂²⋊C₄	—	26	1	no	—
1319	C₂×C₂²⋊C₄	—	26	1	no	—
1320	C₂×C₂²⋊C₄	—	26	1	no	—
1321	C₂×C₂²⋊C₄	—	26	1	no	—
1322	C₂×C₂²⋊C₄	—	26	1	no	—
1323	C₂×C₂²⋊C₄	—	26	1	no	—
1324	C₂×C₂²⋊C₄	—	26	1	no	—
1325	C₂×C₂²⋊C₄	—	26	1	no	—
1326	C₂×C₂²⋊C₄	—	26	1	no	—
1327	C₂×C₂²⋊C₄	—	26	1	no	—
1328	C₂×C₂²⋊C₄	—	26	1	no	—
1329	C₂×C₂²⋊C₄	—	26	1	no	—
1330	C₂×C₂²⋊C₄	—	26	1	no	—
1331	C₂×C₂²⋊C₄	—	26	1	no	—
1332	C₂×C₂²⋊C₄	—	26	1	no	—
1333	C₂×C₂²⋊C₄	—	26	1	no	—
1334	C₂×C₄²	—	13	1	no	—
1335	C₂×C₄²	—	26	1	no	—
1336	C₂×C₄²	—	26	1	no	—
1337	C₂×C₄²	—	26	1	no	—
1338	#107	—	13	1	no	—
1339	#107	—	13	1	no	—
1340	#107	—	13	1	no	—
1341	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1342	#106	—	13	1	no	—
1343	#106	—	13	1	no	—
1344	#106	—	13	1	no	—
1345	#106	—	13	1	no	—
1346	#106	—	13	1	no	—
1347	#106	—	13	1	no	—
1348	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1349	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1350	C₄⋊C₈	—	13	1	no	—
1351	C₄⋊C₈	—	13	1	no	—
1352	C₄⋊C₈	—	13	1	no	—
1353	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1367	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1368	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1369	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1370	#102	—	13	1	no	—
1371	#102	—	13	1	no	—
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	—	13	1	no	—
1384	#102	—	13	1	no	—
1385	#102	—	13	1	no	—
1386	#102	—	13	1	no	—
1387	#102	—	13	1	no	—
1388	#102	C₂²×D₁₃	1	1	yes	characteristic
1389	#102	C₂²×D₁₃	1	1	yes	characteristic
1390	#102	C₂²×D₁₃	1	1	yes	characteristic
1391	#102	C₂²×D₁₃	1	1	yes	characteristic
1392	#102	C₂²×D₁₃	1	1	yes	characteristic
1393	#102	C₂²×D₁₃	1	1	yes	characteristic
1394	C₂²⋊C₈	—	13	1	no	—
1395	C₂²⋊C₈	—	13	1	no	—
1396	C₂²⋊C₈	—	13	1	no	—
1397	C₂²⋊C₈	—	13	1	no	—
1398	C₂²⋊C₈	—	13	1	no	—
1399	C₂²⋊C₈	—	13	1	no	—
1400	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1401	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1402	#97	—	13	1	no	—
1403	#97	—	13	1	no	—
1404	#97	—	13	1	no	—
1405	#97	C₂²×D₁₃	1	1	yes	characteristic, complemented
1406	C₂×C₁₃	—	4	1	no	—
1407	C₂×C₁₃	—	4	2	no	—
1408	C₂×C₁₃	—	4	1	no	—
1409	C₂×C₁₃	—	8	1	no	—
1410	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1411	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1412	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1413	D₁₃	—	4	1	no	—
1414	D₁₃	—	4	1	no	—
1415	D₁₃	—	4	2	no	—
1416	D₁₃	—	8	1	no	—
1417	D₁₃	#3311	1	4	yes	direct product factor
1418	C₂⁴	—	2	1	no	—
1419	C₂⁴	—	13	1	no	—
1420	C₂⁴	—	13	1	no	—
1421	C₂⁴	—	26	1	no	—
1422	C₂⁴	—	26	1	no	—
1423	C₂⁴	—	26	1	no	—
1424	C₂⁴	—	26	1	no	—
1425	C₂⁴	—	26	1	no	—
1426	C₂⁴	—	52	4	no	—
1427	C₂⁴	—	52	4	no	—
1428	C₂⁴	—	104	2	no	—
1429	#41	—	2	2	no	—
1430	#41	—	4	1	no	—
1431	#41	—	26	2	no	—
1432	#41	—	26	2	no	—
1433	#41	—	26	2	no	—
1434	#41	—	52	1	no	—
1435	#41	—	52	4	no	—
1436	#41	—	52	1	no	—
1437	#41	—	52	4	no	—
1438	#41	—	52	1	no	—
1439	C₂×Q₈	—	2	1	no	—
1440	C₂×Q₈	—	13	1	no	—
1441	C₂×Q₈	—	13	1	no	—
1442	C₂×Q₈	—	26	1	no	—
1443	C₂×Q₈	—	26	1	no	—
1444	C₂×Q₈	—	26	1	no	—
1445	C₂×Q₈	—	26	1	no	—
1446	C₂×Q₈	—	26	2	no	—
1447	C₂×Q₈	—	26	2	no	—
1448	C₂×Q₈	—	26	2	no	—
1449	C₂×Q₈	—	26	2	no	—
1450	C₂×Q₈	—	26	1	no	—
1451	C₂×Q₈	—	52	4	no	—
1452	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1453	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1454	C₂×D₄	—	2	2	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	4	1	no	—
1459	C₂×D₄	—	13	4	no	—
1460	C₂×D₄	—	13	1	no	—
1461	C₂×D₄	—	13	1	no	—
1462	C₂×D₄	—	13	1	no	—
1463	C₂×D₄	—	13	1	no	—
1464	C₂×D₄	—	13	1	no	—
1465	C₂×D₄	—	26	2	no	—
1466	C₂×D₄	—	26	1	no	—
1467	C₂×D₄	—	26	1	no	—
1468	C₂×D₄	—	26	2	no	—
1469	C₂×D₄	—	26	2	no	—
1470	C₂×D₄	—	26	2	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	26	1	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	2	no	—
1476	C₂×D₄	—	26	2	no	—
1477	C₂×D₄	—	26	1	no	—
1478	C₂×D₄	—	26	1	no	—
1479	C₂×D₄	—	26	1	no	—
1480	C₂×D₄	—	26	1	no	—
1481	C₂×D₄	—	26	1	no	—
1482	C₂×D₄	—	52	1	no	—
1483	C₂×D₄	—	52	1	no	—
1484	C₂×D₄	—	52	1	no	—
1485	C₂×D₄	—	52	4	no	—
1486	C₂×D₄	—	52	2	no	—
1487	C₂×D₄	—	52	4	no	—
1488	C₂×D₄	—	52	4	no	—
1489	C₂×D₄	—	52	4	no	—
1490	C₂×D₄	—	104	2	no	—
1491	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1492	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	13	1	no	—
1497	C₂²×C₄	—	13	1	no	—
1498	C₂²×C₄	—	13	1	no	—
1499	C₂²×C₄	—	13	1	no	—
1500	C₂²×C₄	—	13	1	no	—
1501	C₂²×C₄	—	13	1	no	—
1502	C₂²×C₄	—	13	1	no	—
1503	C₂²×C₄	—	13	1	no	—
1504	C₂²×C₄	—	13	1	no	—
1505	C₂²×C₄	—	13	1	no	—
1506	C₂²×C₄	—	13	1	no	—
1507	C₂²×C₄	—	26	2	no	—
1508	C₂²×C₄	—	26	2	no	—
1509	C₂²×C₄	—	26	2	no	—
1510	C₂²×C₄	—	26	2	no	—
1511	C₂²×C₄	—	26	1	no	—
1512	C₂²×C₄	—	26	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	26	1	no	—
1515	C₂²×C₄	—	26	1	no	—
1516	C₂²×C₄	—	26	1	no	—
1517	C₂²×C₄	—	26	1	no	—
1518	C₂²×C₄	—	26	1	no	—
1519	C₂²×C₄	—	26	1	no	—
1520	C₂²×C₄	—	26	1	no	—
1521	C₂²×C₄	—	26	1	no	—
1522	C₂²×C₄	—	26	1	no	—
1523	C₂²×C₄	—	52	4	no	—
1524	C₂²×C₄	—	104	2	no	—
1525	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1526	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1527	Q₁₆	—	4	1	no	—
1528	Q₁₆	—	52	1	no	—
1529	Q₁₆	—	52	1	no	—
1530	Q₁₆	—	52	1	no	—
1531	SD₁₆	—	2	2	no	—
1532	SD₁₆	—	4	1	no	—
1533	SD₁₆	—	26	2	no	—
1534	SD₁₆	—	26	2	no	—
1535	SD₁₆	—	26	2	no	—
1536	SD₁₆	—	52	1	no	—
1537	SD₁₆	—	52	1	no	—
1538	SD₁₆	—	52	1	no	—
1539	M₁₆	—	4	1	no	—
1540	M₁₆	—	52	1	no	—
1541	M₁₆	—	52	1	no	—
1542	M₁₆	—	52	1	no	—
1543	C₂×C₈	—	4	1	no	—
1544	C₂×C₈	—	13	1	no	—
1545	C₂×C₈	—	13	1	no	—
1546	C₂×C₈	—	13	1	no	—
1547	C₂×C₈	—	13	1	no	—
1548	C₂×C₈	—	26	2	no	—
1549	C₂×C₈	—	26	2	no	—
1550	C₂×C₈	—	26	2	no	—
1551	C₂×C₈	—	26	2	no	—
1552	C₂×C₈	—	52	1	no	—
1553	C₂×C₈	—	52	1	no	—
1554	C₂×C₈	—	52	1	no	—
1555	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1556	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1557	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1558	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	13	1	no	—
1565	C₄⋊C₄	—	13	1	no	—
1566	C₄⋊C₄	—	13	1	no	—
1567	C₄⋊C₄	—	13	1	no	—
1568	C₄⋊C₄	—	13	1	no	—
1569	C₄⋊C₄	—	13	1	no	—
1570	C₄⋊C₄	—	13	1	no	—
1571	C₄⋊C₄	—	26	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	—	26	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1591	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1592	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1593	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1594	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	13	1	no	—
1605	C₂²⋊C₄	—	13	1	no	—
1606	C₂²⋊C₄	—	13	1	no	—
1607	C₂²⋊C₄	—	13	1	no	—
1608	C₂²⋊C₄	—	13	1	no	—
1609	C₂²⋊C₄	—	13	1	no	—
1610	C₂²⋊C₄	—	26	1	no	—
1611	C₂²⋊C₄	—	26	1	no	—
1612	C₂²⋊C₄	—	26	1	no	—
1613	C₂²⋊C₄	—	26	1	no	—
1614	C₂²⋊C₄	—	26	1	no	—
1615	C₂²⋊C₄	—	26	1	no	—
1616	C₂²⋊C₄	—	26	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1638	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1639	C₄²	—	2	1	no	—
1640	C₄²	—	2	1	no	—
1641	C₄²	—	2	1	no	—
1642	C₄²	—	13	1	no	—
1643	C₄²	—	13	1	no	—
1644	C₄²	—	13	1	no	—
1645	C₄²	—	26	1	no	—
1646	C₄²	—	26	1	no	—
1647	C₄²	—	26	1	no	—
1648	C₄²	—	26	1	no	—
1649	C₄²	—	26	1	no	—
1650	C₄²	—	26	1	no	—
1651	C₄²	—	26	1	no	—
1652	C₄²	—	26	1	no	—
1653	C₄²	—	26	1	no	—
1654	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1655	C₁₃	C₂×#3311	1	1	yes	characteristic, complemented, Sylow
1656	C₂³	—	2	1	no	—
1657	C₂³	—	2	1	no	—
1658	C₂³	—	4	2	no	—
1659	C₂³	—	4	2	no	—
1660	C₂³	—	8	1	no	—
1661	C₂³	—	13	1	no	—
1662	C₂³	—	13	1	no	—
1663	C₂³	—	13	1	no	—
1664	C₂³	—	26	2	no	—
1665	C₂³	—	26	2	no	—
1666	C₂³	—	26	4	no	—
1667	C₂³	—	26	2	no	—
1668	C₂³	—	26	2	no	—
1669	C₂³	—	26	2	no	—
1670	C₂³	—	26	2	no	—
1671	C₂³	—	26	1	no	—
1672	C₂³	—	26	1	no	—
1673	C₂³	—	52	2	no	—
1674	C₂³	—	52	2	no	—
1675	C₂³	—	52	2	no	—
1676	C₂³	—	52	2	no	—
1677	C₂³	—	52	2	no	—
1678	C₂³	—	52	2	no	—
1679	C₂³	—	52	2	no	—
1680	C₂³	—	52	2	no	—
1681	C₂³	—	52	2	no	—
1682	C₂³	—	52	2	no	—
1683	C₂³	—	52	2	no	—
1684	C₂³	—	104	1	no	—
1685	C₂³	—	104	1	no	—
1686	C₂³	—	104	1	no	—
1687	C₂³	—	104	16	no	—
1688	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1689	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	2	1	no	—
1694	Q₈	—	4	2	no	—
1695	Q₈	—	26	1	no	—
1696	Q₈	—	26	1	no	—
1697	Q₈	—	26	1	no	—
1698	Q₈	—	26	1	no	—
1699	Q₈	—	52	2	no	—
1700	Q₈	—	52	2	no	—
1701	Q₈	—	52	2	no	—
1702	Q₈	—	52	2	no	—
1703	Q₈	—	52	2	no	—
1704	D₄	—	2	1	no	—
1705	D₄	—	2	1	no	—
1706	D₄	—	2	1	no	—
1707	D₄	—	4	1	no	—
1708	D₄	—	4	2	no	—
1709	D₄	—	4	2	no	—
1710	D₄	—	8	1	no	—
1711	D₄	—	13	2	no	—
1712	D₄	—	26	4	no	—
1713	D₄	—	26	1	no	—
1714	D₄	—	26	1	no	—
1715	D₄	—	26	1	no	—
1716	D₄	—	52	1	no	—
1717	D₄	—	52	2	no	—
1718	D₄	—	52	2	no	—
1719	D₄	—	52	2	no	—
1720	D₄	—	52	1	no	—
1721	D₄	—	52	1	no	—
1722	D₄	—	52	2	no	—
1723	D₄	—	52	2	no	—
1724	D₄	—	52	2	no	—
1725	D₄	—	52	2	no	—
1726	D₄	—	104	1	no	—
1727	D₄	—	104	1	no	—
1728	D₄	—	104	1	no	—
1729	D₄	#41×D₁₃	1	2	yes	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	4	2	no	—
1741	C₂×C₄	—	8	1	no	—
1742	C₂×C₄	—	13	1	no	—
1743	C₂×C₄	—	13	2	no	—
1744	C₂×C₄	—	13	2	no	—
1745	C₂×C₄	—	13	1	no	—
1746	C₂×C₄	—	13	1	no	—
1747	C₂×C₄	—	13	1	no	—
1748	C₂×C₄	—	13	1	no	—
1749	C₂×C₄	—	26	2	no	—
1750	C₂×C₄	—	26	2	no	—
1751	C₂×C₄	—	26	2	no	—
1752	C₂×C₄	—	26	2	no	—
1753	C₂×C₄	—	26	2	no	—
1754	C₂×C₄	—	26	2	no	—
1755	C₂×C₄	—	26	2	no	—
1756	C₂×C₄	—	26	2	no	—
1757	C₂×C₄	—	26	1	no	—
1758	C₂×C₄	—	26	1	no	—
1759	C₂×C₄	—	26	1	no	—
1760	C₂×C₄	—	26	1	no	—
1761	C₂×C₄	—	26	1	no	—
1762	C₂×C₄	—	26	1	no	—
1763	C₂×C₄	—	26	1	no	—
1764	C₂×C₄	—	26	1	no	—
1765	C₂×C₄	—	26	1	no	—
1766	C₂×C₄	—	26	1	no	—
1767	C₂×C₄	—	52	2	no	—
1768	C₂×C₄	—	52	2	no	—
1769	C₂×C₄	—	52	2	no	—
1770	C₂×C₄	—	52	2	no	—
1771	C₂×C₄	—	52	2	no	—
1772	C₂×C₄	—	52	2	no	—
1773	C₂×C₄	—	52	2	no	—
1774	C₂×C₄	—	52	2	no	—
1775	C₂×C₄	—	52	2	no	—
1776	C₂×C₄	—	104	1	no	—
1777	C₂×C₄	—	104	1	no	—
1778	C₂×C₄	—	104	1	no	—
1779	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1780	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1781	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1782	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1783	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1784	C₈	—	2	1	no	—
1785	C₈	—	2	1	no	—
1786	C₈	—	2	1	no	—
1787	C₈	—	2	1	no	—
1788	C₈	—	26	1	no	—
1789	C₈	—	26	1	no	—
1790	C₈	—	26	1	no	—
1791	C₈	—	26	1	no	—
1792	C₂²	—	2	1	no	—
1793	C₂²	—	2	1	no	—
1794	C₂²	—	2	2	no	—
1795	C₂²	—	2	1	no	—
1796	C₂²	—	2	1	no	—
1797	C₂²	—	2	1	no	—
1798	C₂²	—	2	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	8	4	no	—
1805	C₂²	—	13	2	no	—
1806	C₂²	—	13	2	no	—
1807	C₂²	—	13	2	no	—
1808	C₂²	—	26	1	no	—
1809	C₂²	—	26	1	no	—
1810	C₂²	—	26	2	no	—
1811	C₂²	—	26	1	no	—
1812	C₂²	—	26	1	no	—
1813	C₂²	—	26	1	no	—
1814	C₂²	—	26	1	no	—
1815	C₂²	—	52	4	no	—
1816	C₂²	—	52	4	no	—
1817	C₂²	—	52	8	no	—
1818	C₂²	—	52	1	no	—
1819	C₂²	—	52	1	no	—
1820	C₂²	—	52	1	no	—
1821	C₂²	—	52	1	no	—
1822	C₂²	—	52	1	no	—
1823	C₂²	—	104	4	no	—
1824	C₂²	—	104	4	no	—
1825	C₂²	—	104	4	no	—
1826	C₂²	—	104	4	no	—
1827	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1828	C₄	—	2	1	no	—
1829	C₄	—	2	1	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	13	2	no	—
1839	C₄	—	26	1	no	—
1840	C₄	—	26	1	no	—
1841	C₄	—	26	1	no	—
1842	C₄	—	26	1	no	—
1843	C₄	—	52	1	no	—
1844	C₄	—	52	1	no	—
1845	C₄	—	52	1	no	—
1846	C₄	—	52	1	no	—
1847	C₄	—	52	1	no	—
1848	C₄	—	52	1	no	—
1849	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1850	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1851	C₂	—	4	1	no	—
1852	C₂	—	4	1	no	—
1853	C₂	—	4	2	no	—
1854	C₂	—	8	1	no	—
1855	C₂	—	13	4	no	—
1856	C₂	—	52	1	no	—
1857	C₂	—	52	1	no	—
1858	C₂	—	52	2	no	—
1859	C₂	—	104	1	no	—
1860	C₂	D₁₃×#546	1	1	yes	characteristic
1861	C₂	D₁₃×#575	1	1	yes	characteristic
1862	C₂	D₁₃×#577	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×#3311	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	D₁₃×#546	C₂
hypercenter	#3311	D₁₃
hypocenter	C₁₃	C₂×#3311
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3311

Complements

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

N	H ≅ G/N	type
1. D₁₃×#556	C₂	semidirect
3. #13126879	C₂	semidirect
4. #13126878	C₂	semidirect
5. #13126877	C₂	semidirect
6. #13126876	C₂	semidirect
7. #13126875	C₂	semidirect
8. #13126874	C₂	semidirect
9. #13126873	C₂	semidirect
10. #13126872	C₂	semidirect
11. #13126871	C₂	semidirect
12. #13126870	C₂	semidirect
13. #13126869	C₂	semidirect
14. #13126868	C₂	semidirect
15. #13126867	C₂	semidirect
16. #13126866	C₂	semidirect
17. #13126865	C₂	semidirect
18. D₁₃×#489	C₂	semidirect
19. D₁₃×#485	C₂	semidirect
20. D₁₃×#482	C₂	semidirect
21. D₁₃×#476	C₂	semidirect
22. D₁₃×#470	C₂	semidirect
23. D₁₃×#465	C₂	semidirect
24. D₁₃×#464	C₂	semidirect
25. D₁₃×#452	C₂	semidirect
26. D₁₃×#450	C₂	semidirect
27. D₁₃×#440	C₂	semidirect
28. D₁₃×#435	C₂	semidirect
29. D₁₃×#418	C₂	semidirect
30. D₁₃×#416	C₂	semidirect
31. C₁₃×#3311	C₂	semidirect
34. C₁₃×#556	C₂²	semidirect
38. C₂×Q₁₆×D₁₃	C₂²	semidirect
42. C₂²×C₈×D₁₃	C₂²	semidirect
43. #11719437	C₂²	semidirect
44. D₁₃×C₄⋊Q₈	C₂²	semidirect
55. #11719346	C₂²	semidirect
56. #11719346	C₂²	semidirect
60. D₁₃×C₂²⋊Q₈	C₂²	semidirect
67. #11719289	C₂²	semidirect
69. C₄×Q₈×D₁₃	C₂²	semidirect
75. #11719247	C₂²	semidirect
76. #11719238	C₂²	semidirect
77. #11719238	C₂²	semidirect
79. D₁₃×#117	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
90. C₁₃×#450	C₂²	semidirect
91. C₁₃×#440	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#418	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. #11718900	C₂²	semidirect
96. #11718894	C₂²	semidirect
97. #11718879	C₂²	semidirect
98. #11718876	C₂²	semidirect
99. #11718850	C₂²	semidirect
100. #11718848	C₂²	semidirect
101. #11718846	C₂²	semidirect
102. #11718834	C₂²	semidirect
103. #11718832	C₂²	semidirect
104. #11718830	C₂²	semidirect
105. #11718830	C₂²	semidirect
106. #11718827	C₂²	semidirect
107. #11718825	C₂²	semidirect
108. #11718798	C₂²	semidirect
109. #11718792	C₂²	semidirect
110. #11718788	C₂²	semidirect
111. #11718775	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718750	C₂²	semidirect
115. #11718745	C₂²	semidirect
116. #11718716	C₂²	semidirect
117. #11718715	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718709	C₂²	semidirect
121. #11718708	C₂²	semidirect
122. #11718707	C₂²	semidirect
123. #11718706	C₂²	semidirect
124. #11718702	C₂²	semidirect
125. #11718696	C₂²	semidirect
126. #11718689	C₂²	semidirect
127. #11718687	C₂²	semidirect
128. #11718679	C₂²	semidirect
129. #11718672	C₂²	semidirect
130. #11718669	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718663	C₂²	semidirect
133. #11718662	C₂²	semidirect
134. #11718657	C₂²	semidirect
135. #11718550	C₂²	semidirect
136. #11718549	C₂²	semidirect
137. #11718546	C₂²	semidirect
138. D₁₃×#107	C₂²	semidirect
139. #11718531	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718529	C₂²	semidirect
142. #11718528	C₂²	semidirect
143. #11718527	C₂²	semidirect
144. #11718525	C₂²	semidirect
145. D₁₃×#106	C₂²	semidirect
146. D₁₃×#106	C₂²	semidirect
147. #11718506	C₂²	semidirect
148. #11718503	C₂²	semidirect
149. #11718497	C₂²	semidirect
150. D₁₃×C₄⋊C₈	C₂²	semidirect
151. #11718478	C₂²	semidirect
152. #11718477	C₂²	semidirect
153. #11718477	C₂²	semidirect
154. #11718476	C₂²	semidirect
155. #11718475	C₂²	semidirect
156. #11718471	C₂²	semidirect
157. #11718468	C₂²	semidirect
158. #11718465	C₂²	semidirect
159. #11718465	C₂²	semidirect
160. D₁₃×#103	C₂²	semidirect
161. D₁₃×#103	C₂²	semidirect
162. D₁₃×#103	C₂²	semidirect
163. D₁₃×#103	C₂²	semidirect
164. #11718459	C₂²	semidirect
165. #11718456	C₂²	semidirect
166. #11718456	C₂²	semidirect
167. #11718445	C₂²	semidirect
168. #11718444	C₂²	semidirect
169. #11718440	C₂²	semidirect
170. #11718439	C₂²	semidirect
171. #11718437	C₂²	semidirect
172. #11718437	C₂²	semidirect
173. #11718433	C₂²	semidirect
174. #11718433	C₂²	semidirect
175. #11718431	C₂²	semidirect
176. #11718431	C₂²	semidirect
177. #11718431	C₂²	semidirect
178. #11718431	C₂²	semidirect
185. #11718428	C₂²	semidirect
186. #11718426	C₂²	semidirect
187. #11718426	C₂²	semidirect
188. #11718422	C₂²	semidirect
189. #11718422	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718392	C₂²	semidirect
194. #11718391	C₂²	semidirect
195. #11718389	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718375	C₂²	semidirect
200. #11718371	C₂²	semidirect
201. #11718367	C₂²	semidirect
202. D₁₃×#97	C₂²	semidirect
233. C₂×C₁₃×Q₁₆	C₂³	semidirect
237. C₂²×C₈×C₁₃	C₂³	semidirect
238. C₁₃×C₄⋊Q₈	C₂³	semidirect
246. C₁₃×C₂²⋊Q₈	C₂³	semidirect
251. C₄×Q₈×C₁₃	C₂³	semidirect
255. C₁₃×#117	C₂³	semidirect
263. #88200	C₂³	semidirect
265. Q₈×Dic₁₃	C₂³	semidirect
267. C₂×#6107	C₂³	semidirect
268. C₂×#6107	C₂³	semidirect
295. #88180	C₂³	semidirect
298. #88178	C₂³	semidirect
300. C₂²×#1055	C₂³	semidirect
305. C₂×Dic₅₂	C₂³	semidirect
315. C₂×C₈×D₁₃	C₂³	semidirect
316. C₂×C₈×D₁₃	C₂³	semidirect
325. #88151	C₂³	semidirect
337. #88146	C₂³	semidirect
338. #88146	C₂³	semidirect
350. #88142	C₂³	semidirect
351. #88142	C₂³	semidirect
356. #88141	C₂³	semidirect
413. #88123	C₂³	semidirect
418. C₄×Dic₂₆	C₂³	semidirect
419. C₁₃×#107	C₂³	semidirect
420. C₁₃×#106	C₂³	semidirect
421. C₁₃×#106	C₂³	semidirect
422. C₁₃×C₄⋊C₈	C₂³	semidirect
423. C₁₃×#103	C₂³	semidirect
424. C₁₃×#103	C₂³	semidirect
425. C₁₃×#103	C₂³	semidirect
426. C₁₃×#103	C₂³	semidirect
434. C₁₃×C₂²⋊C₈	C₂³	semidirect
435. C₁₃×#97	C₂³	semidirect
436. #88075	C₂³	semidirect
437. #88075	C₂³	semidirect
438. #88075	C₂³	semidirect
439. #88075	C₂³	semidirect
447. C₂²⋊#1055	C₂³	semidirect
456. #88060	C₂³	semidirect
457. #88060	C₂³	semidirect
458. #88058	C₂³	semidirect
459. #88057	C₂³	semidirect
460. #88057	C₂³	semidirect
461. #88056	C₂³	semidirect
462. #88056	C₂³	semidirect
463. #88056	C₂³	semidirect
464. #88056	C₂³	semidirect
465. #88055	C₂³	semidirect
466. #88055	C₂³	semidirect
467. #88054	C₂³	semidirect
468. #88054	C₂³	semidirect
469. #88050	C₂³	semidirect
470. #88050	C₂³	semidirect
471. #88050	C₂³	semidirect
472. #88050	C₂³	semidirect
479. #88048	C₂³	semidirect
480. #88048	C₂³	semidirect
481. #88048	C₂³	semidirect
482. #88048	C₂³	semidirect
483. #88047	C₂³	semidirect
484. #88047	C₂³	semidirect
485. C₄⋊#1055	C₂³	semidirect
486. #88043	C₂³	semidirect
742. #3311	D₁₃	direct (N × H)
910. #556	C₂×D₁₃	semidirect
949. #489	C₂×D₁₃	semidirect
957. #485	C₂×D₁₃	semidirect
965. #482	C₂×D₁₃	semidirect
973. #476	C₂×D₁₃	semidirect
981. #470	C₂×D₁₃	semidirect
989. #465	C₂×D₁₃	semidirect
997. #464	C₂×D₁₃	semidirect
1005. #452	C₂×D₁₃	semidirect
1013. #450	C₂×D₁₃	semidirect
1021. #440	C₂×D₁₃	semidirect
1029. #435	C₂×D₁₃	semidirect
1041. #418	C₂×D₁₃	semidirect
1049. #416	C₂×D₁₃	semidirect
1156. C₂×Q₁₆	C₂²×D₁₃	semidirect
1180. C₂²×C₈	C₂²×D₁₃	semidirect
1186. C₄⋊Q₈	C₂²×D₁₃	semidirect
1242. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1278. C₄×Q₈	C₂²×D₁₃	semidirect
1304. #117	C₂²×D₁₃	semidirect
1341. #107	C₂²×D₁₃	semidirect
1348. #106	C₂²×D₁₃	semidirect
1349. #106	C₂²×D₁₃	semidirect
1353. C₄⋊C₈	C₂²×D₁₃	semidirect
1366. #103	C₂²×D₁₃	semidirect
1367. #103	C₂²×D₁₃	semidirect
1368. #103	C₂²×D₁₃	semidirect
1369. #103	C₂²×D₁₃	semidirect
1401. C₂²⋊C₈	C₂²×D₁₃	semidirect
1405. #97	C₂²×D₁₃	semidirect
1417. D₁₃	#3311	direct (N × H)
1655. C₁₃	C₂×#3311	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#556	2
D₁₃×#546	2
#13126879	2
#13126878	2
#13126877	2
#13126876	2
#13126875	2
#13126874	2
#13126873	2
#13126872	2
#13126871	2
#13126870	2
#13126869	2
#13126868	2
#13126867	2
#13126866	2
#13126865	2
D₁₃×#489	2
D₁₃×#485	2
D₁₃×#482	2
D₁₃×#476	2
D₁₃×#470	2
D₁₃×#465	2
D₁₃×#464	2
D₁₃×#452	2
D₁₃×#450	2
D₁₃×#440	2
D₁₃×#435	2
D₁₃×#418	2
D₁₃×#416	2
C₁₃×#3311	2
C₂×#3311	13

Subgroups — D13×#3311 #16739581

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3311 #16739581