Subgroups — #16748424

Order 3328.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128632	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128319	C₂	1	1	yes	maximal, characteristic
3	#13127172	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127150	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126953	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126950	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126923	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126920	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126707	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126655	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126585	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126529	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126500	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126475	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126409	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126403	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126349	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126343	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125844	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125790	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125670	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125662	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125621	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124993	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124902	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124094	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124093	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718394	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123867	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×#6127	C₂²	1	1	yes	characteristic
34	C₁₃×#525	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	#11719537	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
38	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
42	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
44	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
46	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂²×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#6095	C₂²	1	1	yes	characteristic, complemented
49	#11719360	—	2	1	no	—
50	#11719359	—	2	1	no	—
51	#11719341	—	2	1	no	—
52	#11719341	—	2	1	no	—
53	#11719340	C₂²	1	1	yes	characteristic
54	#11719340	C₂²	1	1	yes	characteristic, complemented
55	#11719339	—	2	1	no	—
56	#11719338	C₂²	1	1	yes	characteristic
57	#11719337	C₂²	1	1	yes	characteristic
58	#11719337	C₂²	1	1	yes	characteristic
59	#11719337	C₂²	1	1	yes	characteristic, complemented
60	#11719336	C₂²	1	1	yes	characteristic
61	#11719335	C₂²	1	1	yes	characteristic
62	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	#11719328	—	2	1	no	—
65	#11719327	C₂²	1	1	yes	characteristic, complemented
66	#11719327	C₂²	1	1	yes	characteristic, complemented
67	#11719317	C₂²	1	1	yes	characteristic
68	#11719314	C₂²	1	1	yes	characteristic
69	#11719304	C₂²	1	1	yes	characteristic
70	#11719303	C₂²	1	1	yes	characteristic
71	#11719296	—	2	1	no	—
72	#11719295	—	2	1	no	—
73	#11719253	—	2	1	no	—
74	#11719252	—	2	1	no	—
75	#11719252	—	2	1	no	—
76	C₄×D₄×D₁₃	—	2	1	no	—
77	#11719229	C₂²	1	1	yes	characteristic
78	#11719227	C₂²	1	1	yes	characteristic
79	#11719216	—	2	1	no	—
80	#11719216	—	2	1	no	—
81	#11719216	C₂²	1	1	yes	characteristic, complemented
82	#11719216	C₂²	1	1	yes	characteristic, complemented
83	#11719191	—	2	1	no	—
84	#11719188	—	2	1	no	—
85	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718900	C₂²	1	1	yes	characteristic, complemented
100	#11718868	C₂²	1	1	yes	characteristic, complemented
101	#11718851	C₂²	1	1	yes	characteristic, complemented
102	#11718848	C₂²	1	1	yes	characteristic, complemented
103	#11718847	C₂²	1	1	yes	characteristic, complemented
104	#11718846	C₂²	1	1	yes	characteristic, complemented
105	#11718843	C₂²	1	1	yes	characteristic, complemented
106	#11718842	C₂²	1	1	yes	characteristic, complemented
107	#11718836	C₂²	1	1	yes	characteristic, complemented
108	#11718834	C₂²	1	1	yes	characteristic, complemented
109	#11718830	C₂²	1	1	yes	characteristic, complemented
110	#11718828	C₂²	1	1	yes	characteristic, complemented
111	#11718827	C₂²	1	1	yes	characteristic, complemented
112	#11718824	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
114	#11718772	C₂²	1	1	yes	characteristic, complemented
115	#11718772	C₂²	1	1	yes	characteristic, complemented
116	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
117	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
118	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718713	C₂²	1	1	yes	characteristic, complemented
121	#11718711	C₂²	1	1	yes	characteristic, complemented
122	#11718711	C₂²	1	1	yes	characteristic, complemented
123	#11718711	C₂²	1	1	yes	characteristic, complemented
124	#11718708	C₂²	1	1	yes	characteristic
125	#11718708	C₂²	1	1	yes	characteristic
126	#11718708	C₂²	1	1	yes	characteristic, complemented
127	#11718708	C₂²	1	1	yes	characteristic, complemented
128	#11718707	C₂²	1	1	yes	characteristic, complemented
129	#11718707	C₂²	1	1	yes	characteristic, complemented
130	#11718705	C₂²	1	1	yes	characteristic, complemented
131	#11718703	C₂²	1	1	yes	characteristic, complemented
132	#11718703	C₂²	1	1	yes	characteristic, complemented
133	#11718701	C₂²	1	1	yes	characteristic, complemented
134	#11718695	C₂²	1	1	yes	characteristic, complemented
135	#11718657	C₂²	1	1	yes	characteristic, complemented
136	#11718657	C₂²	1	1	yes	characteristic, complemented
137	#11718627	C₂²	1	1	yes	characteristic, complemented
138	#11718627	C₂²	1	1	yes	characteristic, complemented
139	#11718551	C₂²	1	1	yes	characteristic, complemented
140	#11718550	C₂²	1	1	yes	characteristic, complemented
141	#11718548	C₂²	1	1	yes	characteristic, complemented
142	#11718547	C₂²	1	1	yes	characteristic, complemented
143	#11718545	C₂²	1	1	yes	characteristic, complemented
144	#11718543	C₂²	1	1	yes	characteristic, complemented
145	#11718536	C₂²	1	1	yes	characteristic, complemented
146	#11718534	C₂²	1	1	yes	characteristic, complemented
147	#11718531	C₂²	1	1	yes	characteristic, complemented
148	#11718529	C₂²	1	1	yes	characteristic, complemented
149	#11718525	C₂²	1	1	yes	characteristic, complemented
150	#11718524	C₂²	1	1	yes	characteristic, complemented
151	#11718523	C₂²	1	1	yes	characteristic, complemented
152	#11718515	C₂²	1	1	yes	characteristic, complemented
153	#11718514	C₂²	1	1	yes	characteristic, complemented
154	#11718513	C₂²	1	1	yes	characteristic, complemented
155	#11718479	C₂²	1	1	yes	characteristic, complemented
156	#11718479	C₂²	1	1	yes	characteristic, complemented
157	#11718478	C₂²	1	1	yes	characteristic, complemented
158	#11718477	C₂²	1	1	yes	characteristic, complemented
159	#11718474	C₂²	1	1	yes	characteristic, complemented
160	#11718473	C₂²	1	1	yes	characteristic, complemented
161	#11718471	C₂²	1	1	yes	characteristic, complemented
162	#11718469	C₂²	1	1	yes	characteristic, complemented
163	#11718469	C₂²	1	1	yes	characteristic, complemented
164	#11718469	C₂²	1	1	yes	characteristic, complemented
165	#11718468	C₂²	1	1	yes	characteristic, complemented
166	#11718467	C₂²	1	1	yes	characteristic, complemented
167	#11718467	C₂²	1	1	yes	characteristic, complemented
168	#11718464	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
170	#11718459	C₂²	1	1	yes	characteristic, complemented
171	#11718456	C₂²	1	1	yes	characteristic, complemented
172	#11718454	C₂²	1	1	yes	characteristic, complemented
173	#11718454	C₂²	1	1	yes	characteristic, complemented
174	#11718454	C₂²	1	1	yes	characteristic, complemented
175	#11718453	C₂²	1	1	yes	characteristic, complemented
176	#11718451	C₂²	1	1	yes	characteristic, complemented
177	#11718450	C₂²	1	1	yes	characteristic, complemented
178	#11718449	C₂²	1	1	yes	characteristic, complemented
179	#11718444	C₂²	1	1	yes	characteristic, complemented
180	#11718437	C₂²	1	1	yes	characteristic, complemented
181	#11718432	C₂²	1	1	yes	characteristic, complemented
182	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
183	#11718428	C₂²	1	1	yes	characteristic, complemented
184	#11718426	C₂²	1	1	yes	characteristic, complemented
185	#11718423	C₂²	1	1	yes	characteristic, complemented
186	#11718421	C₂²	1	1	yes	characteristic, complemented
187	#11718394	C₂²	1	1	yes	characteristic
188	#11718394	C₂²	1	1	yes	characteristic
189	#11718394	C₂²	1	1	yes	characteristic, complemented
190	#11718394	C₂²	1	1	yes	characteristic, complemented
191	#11718394	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718394	C₂²	1	1	yes	characteristic, complemented
194	#11718394	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718390	C₂²	1	1	yes	characteristic, complemented
197	#11718389	C₂²	1	1	yes	characteristic, complemented
198	#11718389	C₂²	1	1	yes	characteristic, complemented
199	#11718387	C₂²	1	1	yes	characteristic, complemented
200	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	#11718380	C₂²	1	1	yes	characteristic, complemented
202	#11718379	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
208	#41×D₁₃	—	4	2	no	—
209	#41×D₁₃	—	4	2	no	—
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×#6127	—	2	1	no	—
220	C₂×#6127	—	2	1	no	—
221	C₂×#6127	—	2	1	no	—
222	C₂×#6127	—	4	2	no	—
223	C₂×#6127	—	4	2	no	—
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	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×Dic₂₆	C₂³	1	1	yes	characteristic
233	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×#123	—	2	1	no	—
241	C₁₃×C₂²⋊Q₈	—	2	1	no	—
242	C₁₃×C₂²⋊Q₈	—	2	1	no	—
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#120	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
258	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
259	C₂×C₂²⋊Dic₁₃	D₄	1	1	yes	characteristic
260	#88201	C₂³	1	1	yes	characteristic
261	#88200	—	2	1	no	—
262	#88200	—	2	1	no	—
263	#88200	C₂³	1	1	yes	characteristic
264	#88200	C₂³	1	1	yes	characteristic
265	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
266	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
267	#88198	—	2	1	no	—
268	#88198	—	2	1	no	—
269	#88198	C₂³	1	1	yes	characteristic
270	#88198	C₂³	1	1	yes	characteristic
271	#88198	C₂³	1	1	yes	characteristic
272	C₂×#6107	C₂³	1	1	yes	characteristic
273	C₂×#6107	C₂³	1	1	yes	characteristic
274	C₂×#6107	C₂³	1	1	yes	characteristic
275	C₂×#6107	C₂³	1	1	yes	characteristic
276	C₂×#6107	C₂³	1	1	yes	characteristic
277	C₂×#6107	C₂³	1	1	yes	characteristic
278	#88196	—	4	2	no	—
279	#88196	—	4	2	no	—
280	C₂×#6106	C₂³	1	1	yes	characteristic
281	C₂×#6106	C₂³	1	1	yes	characteristic
282	C₂×#6106	C₂³	1	1	yes	characteristic
283	C₂×#6106	C₂³	1	1	yes	characteristic
284	#88194	—	2	1	no	—
285	#88194	C₂³	1	1	yes	characteristic
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88192	—	2	1	no	—
291	#88191	—	2	1	no	—
292	#88191	—	2	1	no	—
293	#88190	C₂³	1	1	yes	characteristic
294	D₄×Dic₁₃	—	2	1	no	—
295	C₂×#6105	C₂³	1	1	yes	characteristic
296	C₂×#6105	C₂³	1	1	yes	characteristic
297	C₄×C₂²⋊D₁₃	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	—	2	1	no	—
299	C₄×C₂²⋊D₁₃	—	2	1	no	—
300	C₄×C₂²⋊D₁₃	—	2	1	no	—
301	C₄×C₂²⋊D₁₃	—	2	1	no	—
302	C₄×C₂²⋊D₁₃	—	2	1	no	—
303	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
304	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
305	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
306	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
307	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
308	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
311	C₂×#6103	D₄	1	1	yes	characteristic
312	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
313	#88178	—	2	1	no	—
314	#88178	—	2	1	no	—
315	#88178	—	2	1	no	—
316	#88178	—	2	1	no	—
317	#88178	—	2	1	no	—
318	#88178	—	2	1	no	—
319	#88178	C₂³	1	1	yes	characteristic
320	#88178	C₂³	1	1	yes	characteristic
321	#88178	C₂³	1	1	yes	characteristic
322	#88178	C₂³	1	1	yes	characteristic
323	C₂×#6101	—	2	1	no	—
324	C₂×#6101	D₄	1	1	yes	characteristic
325	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
326	C₂×#6099	C₂³	1	1	yes	characteristic
327	C₂×#6099	C₂³	1	1	yes	characteristic
328	#88172	—	4	2	no	—
329	Q₁₆×D₁₃	—	4	2	no	—
330	#88169	—	4	2	no	—
331	SD₁₆×D₁₃	—	4	2	no	—
332	C₂×Dic₅₂	—	4	2	no	—
333	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
334	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
335	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
336	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
337	C₂×#6095	—	4	2	no	—
338	C₂×#6095	C₂³	1	1	yes	characteristic
339	C₂×#6095	C₂³	1	1	yes	characteristic
340	C₂×#6095	C₂³	1	1	yes	characteristic
341	C₂×#6095	C₂³	1	1	yes	characteristic
342	C₂×#6094	C₂³	1	1	yes	characteristic
343	C₂×#6094	C₂³	1	1	yes	characteristic
344	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
345	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
346	#88151	—	2	1	no	—
347	#88151	—	2	1	no	—
348	#88151	C₂³	1	1	yes	characteristic
349	#88151	C₂³	1	1	yes	characteristic
350	#88151	C₂³	1	1	yes	characteristic
351	#88151	C₂³	1	1	yes	characteristic
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88150	—	2	1	no	—
355	#88150	—	2	1	no	—
356	#88150	—	2	1	no	—
357	#88150	—	2	1	no	—
358	#88150	—	2	1	no	—
359	#88150	—	2	1	no	—
360	#88149	—	2	1	no	—
361	#88149	C₂³	1	1	yes	characteristic
362	#88149	C₂³	1	1	yes	characteristic
363	#88148	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88147	—	2	1	no	—
366	#88147	C₂³	1	1	yes	characteristic
367	#88147	C₂³	1	1	yes	characteristic
368	C₄⋊C₄×D₁₃	—	2	1	no	—
369	C₄⋊C₄×D₁₃	—	2	1	no	—
370	C₄⋊C₄×D₁₃	—	2	1	no	—
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
373	#88143	—	2	1	no	—
374	#88143	—	2	1	no	—
375	#88143	—	2	1	no	—
376	#88143	—	2	1	no	—
377	#88143	—	2	1	no	—
378	#88143	—	2	1	no	—
379	#88142	—	2	1	no	—
380	#88142	—	2	1	no	—
381	#88142	—	2	1	no	—
382	#88142	C₂³	1	1	yes	characteristic
383	#88142	C₂³	1	1	yes	characteristic
384	#88141	—	2	1	no	—
385	#88141	—	2	1	no	—
386	#88141	C₂³	1	1	yes	characteristic
387	#88141	C₂³	1	1	yes	characteristic
388	#88141	C₂³	1	1	yes	characteristic
389	#88141	C₂³	1	1	yes	characteristic
390	#88140	—	2	1	no	—
391	#88139	—	2	1	no	—
392	#88139	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	—	2	1	no	—
396	#88138	—	2	1	no	—
397	#88137	—	2	1	no	—
398	#88137	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88136	—	2	1	no	—
401	#88136	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	#88135	—	2	1	no	—
405	#88135	—	2	1	no	—
406	#88135	—	2	1	no	—
407	#88135	—	2	1	no	—
408	#88135	—	2	1	no	—
409	#88135	—	2	1	no	—
410	C₂²⋊C₄×D₁₃	—	2	1	no	—
411	C₂²⋊C₄×D₁₃	—	2	1	no	—
412	C₂²⋊C₄×D₁₃	—	2	1	no	—
413	C₂²⋊C₄×D₁₃	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88132	—	2	1	no	—
419	#88132	—	2	1	no	—
420	#88132	—	2	1	no	—
421	#88132	—	2	1	no	—
422	#88132	—	2	1	no	—
423	#88132	—	2	1	no	—
424	#88131	—	2	1	no	—
425	#88131	—	2	1	no	—
426	C₄×D₅₂	—	2	1	no	—
427	C₄×D₅₂	—	2	1	no	—
428	#88126	—	2	1	no	—
429	C₄²×D₁₃	—	2	1	no	—
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#107	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×#106	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	C₂²⋊#1055	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88056	C₂³	1	1	yes	characteristic
466	#88055	C₂³	1	1	yes	characteristic
467	#88055	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	#88054	C₂³	1	1	yes	characteristic
471	#88054	C₂³	1	1	yes	characteristic
472	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
473	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88050	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88050	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic
485	#88049	C₂³	1	1	yes	characteristic
486	#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	#61607	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₂×Q₈×C₁₃	—	2	1	no	—
498	C₂×Q₈×C₁₃	—	4	1	no	—
499	C₂×Q₈×C₁₃	—	4	1	no	—
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	4	1	no	—
511	C₂²×C₄×C₁₃	—	4	1	no	—
512	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	4	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	4	4	no	—
528	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₁₃	—	2	1	no	—
533	C₂²×Dic₁₃	—	2	1	no	—
534	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
539	#6131	—	2	2	no	—
540	#6131	—	4	1	no	—
541	Q₈×D₁₃	—	2	2	no	—
542	Q₈×D₁₃	—	4	1	no	—
543	Q₈×D₁₃	—	4	1	no	—
544	Q₈×D₁₃	—	4	1	no	—
545	Q₈×D₁₃	—	4	1	no	—
546	Q₈×D₁₃	—	4	1	no	—
547	#6129	—	2	2	no	—
548	#6129	—	4	1	no	—
549	#6129	—	4	4	no	—
550	D₄×D₁₃	—	2	2	no	—
551	D₄×D₁₃	—	4	1	no	—
552	D₄×D₁₃	—	4	4	no	—
553	D₄×D₁₃	—	4	4	no	—
554	#6127	—	2	2	no	—
555	#6127	—	2	2	no	—
556	#6127	—	2	2	no	—
557	#6127	—	2	2	no	—
558	#6127	—	4	1	no	—
559	#6127	—	4	1	no	—
560	#6127	—	4	1	no	—
561	#6127	—	4	1	no	—
562	#6127	—	4	4	no	—
563	#6127	—	4	4	no	—
564	#6127	—	4	4	no	—
565	C₂×D₅₂	—	2	2	no	—
566	C₂×D₅₂	—	2	1	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	—	2	1	no	—
569	C₂×D₅₂	—	2	1	no	—
570	C₂×D₅₂	—	4	1	no	—
571	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
572	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	2	1	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	4	1	no	—
586	C₂×C₄×D₁₃	—	4	1	no	—
587	C₂×C₄×D₁₃	—	4	4	no	—
588	C₂×C₄×D₁₃	—	4	4	no	—
589	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₂₆	—	2	2	no	—
594	C₂×Dic₂₆	—	2	1	no	—
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	1	no	—
597	C₂×Dic₂₆	—	2	1	no	—
598	C₂×Dic₂₆	—	2	1	no	—
599	C₂×Dic₂₆	—	2	1	no	—
600	C₂×Dic₂₆	—	2	1	no	—
601	C₂×Dic₂₆	—	4	1	no	—
602	C₂×Dic₂₆	—	4	1	no	—
603	C₂×Dic₂₆	—	4	1	no	—
604	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
605	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
606	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
607	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
608	C₁₃×Q₁₆	—	4	1	no	—
609	C₁₃×Q₁₆	—	4	1	no	—
610	C₁₃×SD₁₆	—	4	1	no	—
611	C₁₃×SD₁₆	—	4	1	no	—
612	C₂×C₈×C₁₃	—	4	1	no	—
613	C₂×C₈×C₁₃	—	4	1	no	—
614	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
615	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
616	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₄²×C₁₃	—	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	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
649	#6107	—	2	2	no	—
650	#6107	—	2	2	no	—
651	#6107	—	4	1	no	—
652	#6107	—	4	1	no	—
653	#6107	—	4	1	no	—
654	#6107	—	4	1	no	—
655	#6106	—	2	2	no	—
656	#6106	—	2	2	no	—
657	#6106	—	4	1	no	—
658	#6106	—	4	1	no	—
659	#6105	—	4	1	no	—
660	#6105	—	4	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	C₂×D₄	1	1	yes	characteristic
674	#6103	C₂×D₄	1	1	yes	characteristic
675	#6103	C₂×D₄	1	1	yes	characteristic
676	#6103	C₂×D₄	1	1	yes	characteristic
677	C₄⋊Dic₁₃	—	2	1	no	—
678	C₄⋊Dic₁₃	—	2	1	no	—
679	C₄⋊Dic₁₃	—	2	1	no	—
680	C₄⋊Dic₁₃	—	2	1	no	—
681	C₄⋊Dic₁₃	—	2	1	no	—
682	C₄⋊Dic₁₃	—	2	1	no	—
683	C₄⋊Dic₁₃	—	2	1	no	—
684	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
685	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
707	#6101	C₂×D₄	1	1	yes	characteristic
708	#6101	C₂×D₄	1	1	yes	characteristic
709	#6101	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₁₃	—	2	1	no	—
711	C₄×Dic₁₃	—	2	1	no	—
712	C₄×Dic₁₃	—	2	1	no	—
713	C₄×Dic₁₃	—	2	1	no	—
714	C₄×Dic₁₃	—	2	1	no	—
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
717	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
719	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
720	#6099	—	4	1	no	—
721	#6099	—	4	1	no	—
722	C₂×#1055	C₂⁴	1	1	yes	characteristic
723	C₂×#1055	C₂⁴	1	1	yes	characteristic
724	C₂×#1055	C₂⁴	1	1	yes	characteristic
725	C₂×#1055	C₂⁴	1	1	yes	characteristic
726	Dic₅₂	—	2	2	no	—
727	Dic₅₂	—	2	2	no	—
728	Dic₅₂	—	4	1	no	—
729	Dic₅₂	—	4	1	no	—
730	#6095	—	2	2	no	—
731	#6095	—	2	2	no	—
732	#6095	—	4	1	no	—
733	#6095	—	4	1	no	—
734	#6094	—	4	1	no	—
735	#6094	—	4	1	no	—
736	C₈×D₁₃	—	4	1	no	—
737	C₈×D₁₃	—	4	1	no	—
738	#3501	—	13	1	no	—
739	D₄×#41	—	13	1	no	—
740	#3333	—	13	1	no	—
741	#3331	—	13	1	no	—
742	#3316	—	13	1	no	—
743	#3316	—	13	1	no	—
744	#3314	—	13	1	no	—
745	#3314	—	13	1	no	—
746	#3299	—	13	1	no	—
747	#3295	—	13	1	no	—
748	D₄×Q₁₆	—	13	1	no	—
749	D₄×SD₁₆	—	13	1	no	—
750	#3278	—	13	1	no	—
751	#3276	—	13	1	no	—
752	#3270	—	13	1	no	—
753	#3270	—	13	1	no	—
754	#3266	—	13	1	no	—
755	#3266	—	13	1	no	—
756	#3216	—	13	1	no	—
757	#3210	—	13	1	no	—
758	#3196	—	13	1	no	—
759	#3196	—	13	1	no	—
760	#3190	—	13	1	no	—
761	#3190	D₁₃	1	1	yes	characteristic, complemented
762	#3116	—	13	1	no	—
763	#3107	—	13	1	no	—
764	#3007	—	13	1	no	—
765	#3007	—	13	1	no	—
766	C₂×#452	—	13	1	no	—
767	C₂×#452	—	13	1	no	—
768	#2974	—	13	1	no	—
769	C₂³×C₁₃	—	2	2	no	—
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	4	1	no	—
772	C₂³×C₁₃	—	4	1	no	—
773	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂²×D₁₃	—	2	1	no	—
777	C₂²×D₁₃	—	2	2	no	—
778	C₂²×D₁₃	—	2	1	no	—
779	C₂²×D₁₃	—	4	1	no	—
780	C₂²×D₁₃	—	4	1	no	—
781	C₂²×D₁₃	—	4	2	no	—
782	C₂²×D₁₃	—	4	2	no	—
783	C₂²×D₁₃	—	4	2	no	—
784	C₂²×D₁₃	—	4	2	no	—
785	C₂²×D₁₃	—	8	1	no	—
786	C₂²×D₁₃	—	8	1	no	—
787	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
789	Q₈×C₁₃	—	2	1	no	—
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	—	2	1	no	—
795	Q₈×C₁₃	—	8	1	no	—
796	D₄×C₁₃	—	2	1	no	—
797	D₄×C₁₃	—	2	1	no	—
798	D₄×C₁₃	—	4	2	no	—
799	D₄×C₁₃	—	4	2	no	—
800	D₄×C₁₃	—	8	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	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	—	2	1	no	—
814	C₂×C₄×C₁₃	—	4	1	no	—
815	C₂×C₄×C₁₃	—	4	1	no	—
816	C₂×C₄×C₁₃	—	4	1	no	—
817	C₂×C₄×C₁₃	—	4	2	no	—
818	C₂×C₄×C₁₃	—	8	1	no	—
819	C₂×C₄×C₁₃	—	8	1	no	—
820	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
824	C₂²⋊D₁₃	—	2	4	no	—
825	C₂²⋊D₁₃	—	2	2	no	—
826	C₂²⋊D₁₃	—	2	2	no	—
827	C₂²⋊D₁₃	—	2	2	no	—
828	C₂²⋊D₁₃	—	4	2	no	—
829	C₂²⋊D₁₃	—	4	2	no	—
830	C₂²⋊D₁₃	—	4	2	no	—
831	C₂²⋊D₁₃	—	4	2	no	—
832	C₂²⋊D₁₃	—	4	2	no	—
833	C₂²⋊D₁₃	—	4	2	no	—
834	C₂²⋊D₁₃	—	8	1	no	—
835	C₂²⋊D₁₃	#137	1	4	yes	complemented
836	C₂×Dic₁₃	—	2	1	no	—
837	C₂×Dic₁₃	—	2	2	no	—
838	C₂×Dic₁₃	—	2	1	no	—
839	C₂×Dic₁₃	—	2	1	no	—
840	C₂×Dic₁₃	—	2	1	no	—
841	C₂×Dic₁₃	—	2	1	no	—
842	C₂×Dic₁₃	—	2	1	no	—
843	C₂×Dic₁₃	—	4	1	no	—
844	C₂×Dic₁₃	—	4	1	no	—
845	C₂×Dic₁₃	—	4	2	no	—
846	C₂×Dic₁₃	—	4	2	no	—
847	C₂×Dic₁₃	—	8	1	no	—
848	C₂×Dic₁₃	—	8	1	no	—
849	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
851	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
852	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
853	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
854	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
855	D₅₂	—	2	1	no	—
856	D₅₂	—	2	1	no	—
857	D₅₂	—	2	1	no	—
858	D₅₂	—	4	2	no	—
859	D₅₂	—	4	2	no	—
860	D₅₂	—	4	2	no	—
861	D₅₂	—	8	1	no	—
862	D₅₂	H(5,𝔽₂)	1	2	yes	—
863	C₄×D₁₃	—	2	4	no	—
864	C₄×D₁₃	—	2	1	no	—
865	C₄×D₁₃	—	2	1	no	—
866	C₄×D₁₃	—	2	1	no	—
867	C₄×D₁₃	—	2	1	no	—
868	C₄×D₁₃	—	4	1	no	—
869	C₄×D₁₃	—	4	1	no	—
870	C₄×D₁₃	—	4	2	no	—
871	C₄×D₁₃	—	4	2	no	—
872	C₄×D₁₃	—	4	2	no	—
873	C₄×D₁₃	—	4	2	no	—
874	C₄×D₁₃	—	4	2	no	—
875	C₄×D₁₃	—	4	2	no	—
876	C₄×D₁₃	—	8	1	no	—
877	C₄×D₁₃	—	8	1	no	—
878	C₄×D₁₃	—	8	1	no	—
879	C₄×D₁₃	—	8	1	no	—
880	C₄×D₁₃	—	8	1	no	—
881	Dic₂₆	—	2	1	no	—
882	Dic₂₆	—	2	1	no	—
883	Dic₂₆	—	2	1	no	—
884	Dic₂₆	—	2	1	no	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	2	1	no	—
887	Dic₂₆	—	2	1	no	—
888	Dic₂₆	—	4	2	no	—
889	Dic₂₆	—	4	2	no	—
890	Dic₂₆	—	8	1	no	—
891	Dic₂₆	—	8	1	no	—
892	Dic₂₆	—	8	1	no	—
893	Dic₂₆	—	8	1	no	—
894	Dic₂₆	—	8	1	no	—
895	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
896	C₈×C₁₃	—	2	1	no	—
897	C₈×C₁₃	—	2	1	no	—
898	C₈×C₁₃	—	2	1	no	—
899	C₈×C₁₃	—	2	1	no	—
900	#1055	—	2	1	no	—
901	#1055	—	2	1	no	—
902	#1055	—	2	1	no	—
903	#1055	—	2	1	no	—
904	C₂²×#41	—	13	1	no	—
905	C₂²×#41	—	13	1	no	—
906	C₂×#137	—	13	1	no	—
907	C₂×#137	—	13	1	no	—
908	C₂×#137	—	13	1	no	—
909	C₂×#137	—	13	1	no	—
910	C₂²×Q₁₆	—	13	1	no	—
911	C₂²×Q₁₆	—	13	1	no	—
912	C₂²×SD₁₆	—	13	1	no	—
913	C₂²×SD₁₆	—	13	1	no	—
914	#554	—	13	1	no	—
915	#554	—	13	1	no	—
916	#554	—	13	1	no	—
917	#554	—	13	1	no	—
918	#554	—	26	1	no	—
919	#554	—	26	1	no	—
920	#554	—	26	1	no	—
921	#554	—	26	1	no	—
922	#550	—	13	1	no	—
923	D₄×Q₈	—	13	1	no	—
924	D₄×Q₈	—	13	1	no	—
925	D₄×Q₈	—	13	1	no	—
926	D₄×Q₈	—	13	1	no	—
927	D₄×Q₈	—	13	1	no	—
928	#548	—	13	1	no	—
929	#548	—	13	1	no	—
930	#547	—	13	1	no	—
931	#547	—	26	1	no	—
932	#546	—	13	1	no	—
933	#546	—	13	1	no	—
934	#546	—	26	1	no	—
935	#546	—	26	1	no	—
936	D₄²	—	13	1	no	—
937	D₄²	—	26	1	no	—
938	#544	—	26	1	no	—
939	#543	—	26	1	no	—
940	#543	—	26	1	no	—
941	#533	—	13	1	no	—
942	#533	—	13	1	no	—
943	#532	—	13	1	no	—
944	#532	—	26	1	no	—
945	#525	—	13	1	no	—
946	#525	—	26	1	no	—
947	#525	—	26	1	no	—
948	#525	C₂×D₁₃	1	1	yes	characteristic
949	C₂×C₂²⋊Q₈	—	13	1	no	—
950	C₂×C₂²⋊Q₈	—	13	1	no	—
951	C₂×C₂²⋊Q₈	—	13	1	no	—
952	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#518	—	26	1	no	—
954	C₄×#41	—	13	1	no	—
955	C₂×C₄×D₄	—	13	1	no	—
956	C₂×C₄×D₄	—	26	1	no	—
957	#497	—	13	1	no	—
958	#497	—	13	1	no	—
959	#494	—	13	1	no	—
960	#492	—	13	1	no	—
961	#489	—	13	1	no	—
962	#489	—	13	1	no	—
963	#487	—	13	1	no	—
964	#486	—	13	1	no	—
965	#485	—	13	1	no	—
966	#485	—	13	1	no	—
967	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
969	#484	—	13	1	no	—
970	#484	—	13	1	no	—
971	#483	—	13	1	no	—
972	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#481	—	13	1	no	—
974	#481	—	13	1	no	—
975	#480	—	13	1	no	—
976	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
977	#477	—	13	1	no	—
978	#476	—	13	1	no	—
979	#475	—	13	1	no	—
980	#474	—	13	1	no	—
981	#470	—	13	1	no	—
982	#470	—	13	1	no	—
983	#470	—	13	1	no	—
984	#470	—	13	1	no	—
985	#468	—	13	1	no	—
986	#468	—	13	1	no	—
987	#468	—	13	1	no	—
988	#468	—	13	1	no	—
989	#467	—	13	1	no	—
990	#467	—	13	1	no	—
991	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
992	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
993	#465	—	13	1	no	—
994	#465	—	13	1	no	—
995	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
997	#464	—	13	1	no	—
998	#464	—	13	1	no	—
999	#464	—	13	1	no	—
1000	#464	—	13	1	no	—
1001	#462	—	13	1	no	—
1002	#462	—	13	1	no	—
1003	#462	—	13	1	no	—
1004	#462	—	13	1	no	—
1005	#461	—	13	1	no	—
1006	#461	—	13	1	no	—
1007	#460	—	13	1	no	—
1008	#460	—	13	1	no	—
1009	#452	—	13	1	no	—
1010	#452	—	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	—	13	1	no	—
1023	#452	—	13	1	no	—
1024	#452	—	13	1	no	—
1025	#452	—	13	1	no	—
1026	#452	—	13	1	no	—
1027	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1028	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	#451	—	13	1	no	—
1030	#451	—	13	1	no	—
1031	#451	—	13	1	no	—
1032	#451	—	13	1	no	—
1033	#451	—	13	1	no	—
1034	#451	—	13	1	no	—
1035	#451	—	13	1	no	—
1036	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1037	#450	—	13	1	no	—
1038	#450	—	13	1	no	—
1039	#450	—	13	1	no	—
1040	#450	—	13	1	no	—
1041	#448	—	13	1	no	—
1042	#448	—	13	1	no	—
1043	#448	—	13	1	no	—
1044	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1045	#441	—	13	1	no	—
1046	#441	—	13	1	no	—
1047	#440	—	13	1	no	—
1048	#440	—	13	1	no	—
1049	C₄×Q₁₆	—	13	1	no	—
1050	C₄×Q₁₆	—	13	1	no	—
1051	C₄×SD₁₆	—	13	1	no	—
1052	C₄×SD₁₆	—	13	1	no	—
1053	#436	—	13	1	no	—
1054	#436	—	13	1	no	—
1055	#435	—	13	1	no	—
1056	#435	—	13	1	no	—
1057	#435	—	13	1	no	—
1058	#435	—	13	1	no	—
1059	C₈×D₄	—	13	1	no	—
1060	C₈×D₄	—	13	1	no	—
1061	#432	—	13	1	no	—
1062	#431	—	13	1	no	—
1063	#417	—	13	1	no	—
1064	#417	—	13	1	no	—
1065	#417	—	13	1	no	—
1066	#417	—	13	1	no	—
1067	C₂×#103	—	13	1	no	—
1068	C₂×#103	—	13	1	no	—
1069	C₂×#102	—	13	1	no	—
1070	C₂×#102	—	13	1	no	—
1071	#407	—	13	1	no	—
1072	#407	—	13	1	no	—
1073	C₂×C₂²⋊C₈	—	13	1	no	—
1074	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1075	C₂²×C₁₃	—	2	1	no	—
1076	C₂²×C₁₃	—	2	1	no	—
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	1	no	—
1083	C₂²×C₁₃	—	4	1	no	—
1084	C₂²×C₁₃	—	4	1	no	—
1085	C₂²×C₁₃	—	4	1	no	—
1086	C₂²×C₁₃	—	8	2	no	—
1087	C₂²×C₁₃	C₂×#137	1	2	yes	—
1088	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1089	C₂×D₁₃	—	2	1	no	—
1090	C₂×D₁₃	—	2	1	no	—
1091	C₂×D₁₃	—	2	1	no	—
1092	C₂×D₁₃	—	2	2	no	—
1093	C₂×D₁₃	—	2	1	no	—
1094	C₂×D₁₃	—	2	1	no	—
1095	C₂×D₁₃	—	4	1	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	4	1	no	—
1098	C₂×D₁₃	—	4	1	no	—
1099	C₂×D₁₃	—	4	1	no	—
1100	C₂×D₁₃	—	8	2	no	—
1101	C₂×D₁₃	—	8	4	no	—
1102	C₂×D₁₃	—	8	4	no	—
1103	C₂×D₁₃	C₂×#137	1	2	yes	—
1104	C₄×C₁₃	—	2	1	no	—
1105	C₄×C₁₃	—	2	1	no	—
1106	C₄×C₁₃	—	2	1	no	—
1107	C₄×C₁₃	—	4	1	no	—
1108	C₄×C₁₃	—	4	1	no	—
1109	C₄×C₁₃	—	4	1	no	—
1110	C₄×C₁₃	—	4	1	no	—
1111	C₄×C₁₃	—	4	1	no	—
1112	C₄×C₁₃	—	4	1	no	—
1113	C₄×C₁₃	—	4	1	no	—
1114	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1115	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1116	Dic₁₃	—	2	1	no	—
1117	Dic₁₃	—	2	1	no	—
1118	Dic₁₃	—	2	2	no	—
1119	Dic₁₃	—	2	1	no	—
1120	Dic₁₃	—	2	1	no	—
1121	Dic₁₃	—	2	1	no	—
1122	Dic₁₃	—	4	1	no	—
1123	Dic₁₃	—	4	1	no	—
1124	Dic₁₃	—	4	1	no	—
1125	Dic₁₃	—	4	1	no	—
1126	Dic₁₃	—	4	1	no	—
1127	Dic₁₃	C₂×#137	1	2	yes	—
1128	C₂×#41	—	13	1	no	—
1129	C₂×#41	—	13	1	no	—
1130	C₂×#41	—	13	1	no	—
1131	C₂×#41	—	13	1	no	—
1132	C₂×#41	—	13	1	no	—
1133	C₂×#41	—	13	1	no	—
1134	C₂×#41	—	26	1	no	—
1135	C₂×#41	—	26	1	no	—
1136	C₂×#41	—	26	1	no	—
1137	C₂×#41	—	26	1	no	—
1138	C₂×#41	—	52	2	no	—
1139	C₂×#41	—	52	2	no	—
1140	C₂×#41	—	52	2	no	—
1141	C₂×#41	—	52	2	no	—
1142	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂²×Q₈	—	13	1	no	—
1144	C₂²×Q₈	—	13	1	no	—
1145	C₂²×Q₈	—	13	1	no	—
1146	C₂²×Q₈	—	13	1	no	—
1147	C₂²×Q₈	—	13	1	no	—
1148	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂²×D₄	—	13	1	no	—
1150	C₂²×D₄	—	13	1	no	—
1151	C₂²×D₄	—	13	1	no	—
1152	C₂²×D₄	—	26	1	no	—
1153	C₂²×D₄	—	26	1	no	—
1154	C₂²×D₄	—	26	1	no	—
1155	C₂³×C₄	—	13	1	no	—
1156	C₂³×C₄	—	26	1	no	—
1157	C₂³×C₄	—	26	1	no	—
1158	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1159	#137	—	52	2	no	—
1160	#137	—	52	2	no	—
1161	#137	—	52	2	no	—
1162	#137	—	52	2	no	—
1163	C₂×Q₁₆	—	13	1	no	—
1164	C₂×Q₁₆	—	13	1	no	—
1165	C₂×Q₁₆	—	13	1	no	—
1166	C₂×Q₁₆	—	13	1	no	—
1167	C₂×Q₁₆	—	13	1	no	—
1168	C₂×Q₁₆	—	13	1	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	—	52	2	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×SD₁₆	—	13	1	no	—
1178	C₂×SD₁₆	—	13	1	no	—
1179	C₂×SD₁₆	—	13	1	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	—	52	2	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×M₁₆	—	13	1	no	—
1192	C₂×M₁₆	—	13	1	no	—
1193	C₂×M₁₆	—	13	1	no	—
1194	C₂×M₁₆	—	13	1	no	—
1195	C₂²×C₈	—	13	1	no	—
1196	C₂²×C₈	—	13	1	no	—
1197	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1199	C₄⋊Q₈	—	13	1	no	—
1200	C₄⋊Q₈	—	13	1	no	—
1201	C₄⋊Q₈	—	13	1	no	—
1202	C₄⋊Q₈	—	13	1	no	—
1203	C₄⋊Q₈	—	13	1	no	—
1204	C₄⋊Q₈	—	26	1	no	—
1205	C₄⋊Q₈	—	26	1	no	—
1206	C₄⋊Q₈	—	26	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	#125	—	26	1	no	—
1212	#125	—	26	1	no	—
1213	#125	—	26	1	no	—
1214	#125	—	26	1	no	—
1215	#125	—	26	1	no	—
1216	#125	—	26	1	no	—
1217	#124	—	13	1	no	—
1218	#124	—	13	1	no	—
1219	#124	—	26	1	no	—
1220	#124	—	26	1	no	—
1221	#123	—	2	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	#123	—	26	1	no	—
1226	#123	—	26	1	no	—
1227	C₂²⋊Q₈	—	2	1	no	—
1228	C₂²⋊Q₈	—	2	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	—	13	1	no	—
1235	C₂²⋊Q₈	—	13	1	no	—
1236	C₂²⋊Q₈	—	13	1	no	—
1237	C₂²⋊Q₈	—	13	1	no	—
1238	C₂²⋊Q₈	—	13	1	no	—
1239	C₂²⋊Q₈	—	26	1	no	—
1240	C₂²⋊Q₈	—	26	1	no	—
1241	C₂²⋊Q₈	—	26	1	no	—
1242	C₂²⋊Q₈	—	26	1	no	—
1243	C₂²⋊Q₈	—	26	1	no	—
1244	C₂²⋊Q₈	—	26	1	no	—
1245	C₂²⋊Q₈	—	26	1	no	—
1246	C₂²⋊Q₈	—	26	1	no	—
1247	C₂²⋊Q₈	—	26	1	no	—
1248	C₂²⋊Q₈	—	26	1	no	—
1249	C₂²⋊Q₈	—	26	1	no	—
1250	C₂²⋊Q₈	—	26	1	no	—
1251	C₂²⋊Q₈	—	26	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	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	—	26	1	no	—
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	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1272	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1273	#121	—	13	1	no	—
1274	#121	—	13	1	no	—
1275	#121	—	26	1	no	—
1276	#121	—	26	1	no	—
1277	#121	—	26	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	C₂²×D₁₃	1	1	yes	characteristic
1286	#121	C₂²×D₁₃	1	1	yes	characteristic
1287	#120	—	2	1	no	—
1288	#120	—	26	1	no	—
1289	#120	—	26	1	no	—
1290	#120	—	26	1	no	—
1291	#120	—	26	1	no	—
1292	#120	—	26	1	no	—
1293	C₄×Q₈	—	13	1	no	—
1294	C₄×Q₈	—	13	1	no	—
1295	C₄×Q₈	—	13	1	no	—
1296	C₄×Q₈	—	13	1	no	—
1297	C₄×Q₈	—	13	1	no	—
1298	C₄×Q₈	—	13	1	no	—
1299	C₄×Q₈	—	26	1	no	—
1300	C₄×Q₈	—	26	1	no	—
1301	C₄×D₄	—	2	1	no	—
1302	C₄×D₄	—	2	1	no	—
1303	C₄×D₄	—	13	1	no	—
1304	C₄×D₄	—	13	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	—	26	1	no	—
1314	C₄×D₄	—	26	1	no	—
1315	C₄×D₄	—	26	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	#117	—	26	1	no	—
1332	#117	—	26	1	no	—
1333	#117	—	26	1	no	—
1334	#117	C₂²×D₁₃	1	1	yes	characteristic
1335	C₂×C₄⋊C₄	—	2	1	no	—
1336	C₂×C₄⋊C₄	—	13	1	no	—
1337	C₂×C₄⋊C₄	—	13	1	no	—
1338	C₂×C₄⋊C₄	—	13	1	no	—
1339	C₂×C₄⋊C₄	—	13	1	no	—
1340	C₂×C₄⋊C₄	—	26	1	no	—
1341	C₂×C₄⋊C₄	—	26	1	no	—
1342	C₂×C₄⋊C₄	—	26	1	no	—
1343	C₂×C₄⋊C₄	—	26	1	no	—
1344	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1345	C₂×C₂²⋊C₄	—	2	1	no	—
1346	C₂×C₂²⋊C₄	—	13	1	no	—
1347	C₂×C₂²⋊C₄	—	13	1	no	—
1348	C₂×C₂²⋊C₄	—	26	1	no	—
1349	C₂×C₂²⋊C₄	—	26	1	no	—
1350	C₂×C₂²⋊C₄	—	26	1	no	—
1351	C₂×C₂²⋊C₄	—	26	1	no	—
1352	C₂×C₂²⋊C₄	—	26	1	no	—
1353	C₂×C₄²	—	13	1	no	—
1354	C₂×C₄²	—	26	1	no	—
1355	#107	—	13	1	no	—
1356	#107	—	13	1	no	—
1357	#107	C₂²×D₁₃	1	1	yes	characteristic
1358	#107	C₂²×D₁₃	1	1	yes	characteristic
1359	#106	—	13	1	no	—
1360	#106	—	13	1	no	—
1361	#106	C₂²×D₁₃	1	1	yes	characteristic
1362	#106	C₂²×D₁₃	1	1	yes	characteristic
1363	C₄⋊C₈	—	13	1	no	—
1364	C₄⋊C₈	—	13	1	no	—
1365	C₄⋊C₈	—	13	1	no	—
1366	C₄⋊C₈	—	13	1	no	—
1367	#103	—	13	1	no	—
1368	#103	—	13	1	no	—
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	—	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	C₂²×D₁₃	1	1	yes	characteristic
1382	#103	C₂²×D₁₃	1	1	yes	characteristic
1383	#103	C₂²×D₁₃	1	1	yes	characteristic
1384	#103	C₂²×D₁₃	1	1	yes	characteristic
1385	#103	C₂²×D₁₃	1	1	yes	characteristic
1386	#103	C₂²×D₁₃	1	1	yes	characteristic
1387	#102	—	13	1	no	—
1388	#102	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1398	#102	C₂²×D₁₃	1	1	yes	characteristic
1399	C₂²⋊C₈	—	13	1	no	—
1400	C₂²⋊C₈	—	13	1	no	—
1401	C₂²⋊C₈	—	13	1	no	—
1402	C₂²⋊C₈	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1408	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1409	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1410	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1411	#97	—	13	1	no	—
1412	#97	—	13	1	no	—
1413	C₄×C₈	—	13	1	no	—
1414	C₄×C₈	—	13	1	no	—
1415	C₂×C₁₃	—	2	2	no	—
1416	C₂×C₁₃	—	4	1	no	—
1417	C₂×C₁₃	—	4	1	no	—
1418	C₂×C₁₃	—	8	1	no	—
1419	C₂×C₁₃	#3484	1	1	yes	characteristic
1420	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1421	C₂×C₁₃	#3584	1	1	yes	characteristic
1422	D₁₃	—	2	2	no	—
1423	D₁₃	—	4	1	no	—
1424	D₁₃	—	4	2	no	—
1425	D₁₃	—	8	1	no	—
1426	C₂⁴	—	13	1	no	—
1427	C₂⁴	—	26	1	no	—
1428	C₂⁴	—	26	1	no	—
1429	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1430	#41	—	4	1	no	—
1431	#41	—	4	1	no	—
1432	#41	—	26	2	no	—
1433	#41	—	26	2	no	—
1434	#41	—	26	2	no	—
1435	#41	—	26	2	no	—
1436	#41	—	26	2	no	—
1437	#41	—	26	2	no	—
1438	#41	—	52	1	no	—
1439	#41	—	52	1	no	—
1440	#41	—	52	1	no	—
1441	#41	—	52	1	no	—
1442	#41	—	52	4	no	—
1443	#41	—	52	4	no	—
1444	#41	—	52	4	no	—
1445	#41	—	52	1	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	4	no	—
1448	C₂×Q₈	—	2	1	no	—
1449	C₂×Q₈	—	4	1	no	—
1450	C₂×Q₈	—	4	1	no	—
1451	C₂×Q₈	—	13	1	no	—
1452	C₂×Q₈	—	13	1	no	—
1453	C₂×Q₈	—	13	1	no	—
1454	C₂×Q₈	—	13	1	no	—
1455	C₂×Q₈	—	26	1	no	—
1456	C₂×Q₈	—	26	1	no	—
1457	C₂×Q₈	—	26	1	no	—
1458	C₂×Q₈	—	26	1	no	—
1459	C₂×Q₈	—	26	1	no	—
1460	C₂×Q₈	—	26	2	no	—
1461	C₂×Q₈	—	26	1	no	—
1462	C₂×Q₈	—	26	1	no	—
1463	C₂×Q₈	—	26	2	no	—
1464	C₂×Q₈	—	52	1	no	—
1465	C₂×Q₈	—	52	1	no	—
1466	C₂×Q₈	—	52	1	no	—
1467	C₂×Q₈	—	52	1	no	—
1468	C₂×Q₈	—	52	1	no	—
1469	C₂×Q₈	—	52	1	no	—
1470	C₂×Q₈	—	52	1	no	—
1471	C₂×Q₈	—	52	1	no	—
1472	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1473	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1474	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	2	1	no	—
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	13	1	no	—
1479	C₂×D₄	—	13	1	no	—
1480	C₂×D₄	—	13	1	no	—
1481	C₂×D₄	—	13	1	no	—
1482	C₂×D₄	—	13	1	no	—
1483	C₂×D₄	—	13	1	no	—
1484	C₂×D₄	—	26	2	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	1	no	—
1490	C₂×D₄	—	26	1	no	—
1491	C₂×D₄	—	26	2	no	—
1492	C₂×D₄	—	26	4	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	1	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	52	1	no	—
1500	C₂×D₄	—	52	1	no	—
1501	C₂×D₄	—	52	4	no	—
1502	C₂×D₄	—	52	4	no	—
1503	C₂×D₄	—	52	4	no	—
1504	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	2	1	no	—
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	4	1	no	—
1509	C₂²×C₄	—	4	1	no	—
1510	C₂²×C₄	—	13	1	no	—
1511	C₂²×C₄	—	13	1	no	—
1512	C₂²×C₄	—	13	1	no	—
1513	C₂²×C₄	—	13	1	no	—
1514	C₂²×C₄	—	13	1	no	—
1515	C₂²×C₄	—	13	1	no	—
1516	C₂²×C₄	—	13	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	—	26	1	no	—
1524	C₂²×C₄	—	26	1	no	—
1525	C₂²×C₄	—	26	1	no	—
1526	C₂²×C₄	—	26	1	no	—
1527	C₂²×C₄	—	26	1	no	—
1528	C₂²×C₄	—	26	1	no	—
1529	C₂²×C₄	—	26	1	no	—
1530	C₂²×C₄	—	26	1	no	—
1531	C₂²×C₄	—	26	1	no	—
1532	C₂²×C₄	—	26	1	no	—
1533	C₂²×C₄	—	52	1	no	—
1534	C₂²×C₄	—	52	1	no	—
1535	C₂²×C₄	—	52	4	no	—
1536	C₂²×C₄	—	52	4	no	—
1537	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1538	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1539	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1540	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1541	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1542	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1543	Q₁₆	—	4	1	no	—
1544	Q₁₆	—	4	1	no	—
1545	Q₁₆	—	26	2	no	—
1546	Q₁₆	—	26	2	no	—
1547	Q₁₆	—	26	2	no	—
1548	Q₁₆	—	26	2	no	—
1549	Q₁₆	—	52	1	no	—
1550	Q₁₆	—	52	1	no	—
1551	Q₁₆	—	52	1	no	—
1552	Q₁₆	—	52	1	no	—
1553	Q₁₆	—	52	1	no	—
1554	Q₁₆	—	52	1	no	—
1555	SD₁₆	—	4	1	no	—
1556	SD₁₆	—	4	1	no	—
1557	SD₁₆	—	26	2	no	—
1558	SD₁₆	—	26	2	no	—
1559	SD₁₆	—	26	2	no	—
1560	SD₁₆	—	26	2	no	—
1561	SD₁₆	—	52	1	no	—
1562	SD₁₆	—	52	1	no	—
1563	SD₁₆	—	52	1	no	—
1564	SD₁₆	—	52	1	no	—
1565	SD₁₆	—	52	1	no	—
1566	SD₁₆	—	52	1	no	—
1567	M₁₆	—	52	1	no	—
1568	M₁₆	—	52	1	no	—
1569	M₁₆	—	52	1	no	—
1570	M₁₆	—	52	1	no	—
1571	C₂×C₈	—	4	1	no	—
1572	C₂×C₈	—	4	1	no	—
1573	C₂×C₈	—	13	1	no	—
1574	C₂×C₈	—	13	1	no	—
1575	C₂×C₈	—	13	1	no	—
1576	C₂×C₈	—	13	1	no	—
1577	C₂×C₈	—	52	1	no	—
1578	C₂×C₈	—	52	1	no	—
1579	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1580	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1581	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1582	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	13	1	no	—
1591	C₄⋊C₄	—	13	1	no	—
1592	C₄⋊C₄	—	13	1	no	—
1593	C₄⋊C₄	—	13	1	no	—
1594	C₄⋊C₄	—	13	1	no	—
1595	C₄⋊C₄	—	13	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	—	26	1	no	—
1599	C₄⋊C₄	—	26	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	—	26	1	no	—
1602	C₄⋊C₄	—	26	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	—	26	1	no	—
1605	C₄⋊C₄	—	26	1	no	—
1606	C₄⋊C₄	—	26	1	no	—
1607	C₄⋊C₄	—	26	1	no	—
1608	C₄⋊C₄	—	26	1	no	—
1609	C₄⋊C₄	—	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	C₂³×D₁₃	1	1	yes	characteristic
1624	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	13	1	no	—
1637	C₂²⋊C₄	—	13	1	no	—
1638	C₂²⋊C₄	—	13	1	no	—
1639	C₂²⋊C₄	—	13	1	no	—
1640	C₂²⋊C₄	—	13	1	no	—
1641	C₂²⋊C₄	—	13	1	no	—
1642	C₂²⋊C₄	—	13	1	no	—
1643	C₂²⋊C₄	—	13	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	C₄²	—	2	1	no	—
1663	C₄²	—	13	1	no	—
1664	C₄²	—	13	1	no	—
1665	C₄²	—	13	1	no	—
1666	C₄²	—	13	1	no	—
1667	C₄²	—	26	1	no	—
1668	C₄²	—	26	1	no	—
1669	C₄²	—	26	1	no	—
1670	C₄²	—	26	1	no	—
1671	C₄²	—	26	1	no	—
1672	C₄²	—	26	1	no	—
1673	C₁₃	#61607	1	1	yes	characteristic, complemented, Sylow
1674	C₂³	—	2	2	no	—
1675	C₂³	—	2	1	no	—
1676	C₂³	—	4	1	no	—
1677	C₂³	—	4	1	no	—
1678	C₂³	—	13	1	no	—
1679	C₂³	—	13	1	no	—
1680	C₂³	—	26	2	no	—
1681	C₂³	—	26	1	no	—
1682	C₂³	—	26	1	no	—
1683	C₂³	—	52	1	no	—
1684	C₂³	—	52	1	no	—
1685	C₂³	—	52	2	no	—
1686	C₂³	—	52	2	no	—
1687	C₂³	—	52	2	no	—
1688	C₂³	—	52	2	no	—
1689	C₂³	—	104	1	no	—
1690	C₂³	—	104	1	no	—
1691	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1692	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1693	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1694	Q₈	—	2	1	no	—
1695	Q₈	—	2	1	no	—
1696	Q₈	—	2	1	no	—
1697	Q₈	—	2	1	no	—
1698	Q₈	—	2	1	no	—
1699	Q₈	—	2	1	no	—
1700	Q₈	—	8	1	no	—
1701	Q₈	—	13	2	no	—
1702	Q₈	—	26	1	no	—
1703	Q₈	—	26	1	no	—
1704	Q₈	—	26	1	no	—
1705	Q₈	—	26	1	no	—
1706	Q₈	—	26	1	no	—
1707	Q₈	—	26	1	no	—
1708	Q₈	—	26	1	no	—
1709	Q₈	—	52	2	no	—
1710	Q₈	—	52	2	no	—
1711	Q₈	—	104	1	no	—
1712	Q₈	—	104	1	no	—
1713	Q₈	—	104	1	no	—
1714	Q₈	—	104	1	no	—
1715	Q₈	—	104	1	no	—
1716	D₄	—	2	1	no	—
1717	D₄	—	2	1	no	—
1718	D₄	—	4	2	no	—
1719	D₄	—	4	2	no	—
1720	D₄	—	8	1	no	—
1721	D₄	—	13	4	no	—
1722	D₄	—	13	2	no	—
1723	D₄	—	26	2	no	—
1724	D₄	—	26	2	no	—
1725	D₄	—	26	4	no	—
1726	D₄	—	26	2	no	—
1727	D₄	—	26	1	no	—
1728	D₄	—	26	1	no	—
1729	D₄	—	26	1	no	—
1730	D₄	—	52	2	no	—
1731	D₄	—	52	2	no	—
1732	D₄	—	52	2	no	—
1733	D₄	—	52	2	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	—	104	1	no	—
1740	D₄	—	104	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	4	1	no	—
1755	C₂×C₄	—	4	1	no	—
1756	C₂×C₄	—	4	1	no	—
1757	C₂×C₄	—	4	2	no	—
1758	C₂×C₄	—	8	1	no	—
1759	C₂×C₄	—	8	1	no	—
1760	C₂×C₄	—	13	1	no	—
1761	C₂×C₄	—	13	1	no	—
1762	C₂×C₄	—	13	1	no	—
1763	C₂×C₄	—	13	1	no	—
1764	C₂×C₄	—	13	1	no	—
1765	C₂×C₄	—	13	1	no	—
1766	C₂×C₄	—	26	4	no	—
1767	C₂×C₄	—	26	2	no	—
1768	C₂×C₄	—	26	1	no	—
1769	C₂×C₄	—	26	1	no	—
1770	C₂×C₄	—	26	1	no	—
1771	C₂×C₄	—	26	1	no	—
1772	C₂×C₄	—	26	1	no	—
1773	C₂×C₄	—	26	1	no	—
1774	C₂×C₄	—	26	1	no	—
1775	C₂×C₄	—	26	1	no	—
1776	C₂×C₄	—	26	1	no	—
1777	C₂×C₄	—	26	1	no	—
1778	C₂×C₄	—	52	1	no	—
1779	C₂×C₄	—	52	1	no	—
1780	C₂×C₄	—	52	2	no	—
1781	C₂×C₄	—	52	2	no	—
1782	C₂×C₄	—	52	2	no	—
1783	C₂×C₄	—	52	2	no	—
1784	C₂×C₄	—	52	2	no	—
1785	C₂×C₄	—	52	2	no	—
1786	C₂×C₄	—	52	1	no	—
1787	C₂×C₄	—	52	1	no	—
1788	C₂×C₄	—	52	2	no	—
1789	C₂×C₄	—	52	2	no	—
1790	C₂×C₄	—	104	1	no	—
1791	C₂×C₄	—	104	1	no	—
1792	C₂×C₄	—	104	1	no	—
1793	C₂×C₄	—	104	1	no	—
1794	C₂×C₄	—	104	1	no	—
1795	C₂×C₄	—	104	1	no	—
1796	C₂×C₄	—	104	1	no	—
1797	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1798	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1799	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1800	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1801	C₈	—	2	1	no	—
1802	C₈	—	2	1	no	—
1803	C₈	—	2	1	no	—
1804	C₈	—	2	1	no	—
1805	C₈	—	26	1	no	—
1806	C₈	—	26	1	no	—
1807	C₈	—	26	1	no	—
1808	C₈	—	26	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	2	1	no	—
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	8	2	no	—
1821	C₂²	—	13	2	no	—
1822	C₂²	—	26	1	no	—
1823	C₂²	—	26	1	no	—
1824	C₂²	—	26	2	no	—
1825	C₂²	—	26	1	no	—
1826	C₂²	—	26	1	no	—
1827	C₂²	—	26	1	no	—
1828	C₂²	—	52	1	no	—
1829	C₂²	—	52	1	no	—
1830	C₂²	—	52	1	no	—
1831	C₂²	—	52	1	no	—
1832	C₂²	—	52	1	no	—
1833	C₂²	—	104	4	no	—
1834	C₂²	—	104	2	no	—
1835	C₂²	—	104	4	no	—
1836	C₂²	D₁₃×#137	1	2	yes	—
1837	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	4	1	no	—
1847	C₄	—	4	1	no	—
1848	C₄	—	13	2	no	—
1849	C₄	—	26	1	no	—
1850	C₄	—	26	1	no	—
1851	C₄	—	26	2	no	—
1852	C₄	—	26	1	no	—
1853	C₄	—	26	1	no	—
1854	C₄	—	26	1	no	—
1855	C₄	—	52	1	no	—
1856	C₄	—	52	1	no	—
1857	C₄	—	52	1	no	—
1858	C₄	—	52	1	no	—
1859	C₄	—	52	1	no	—
1860	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1861	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1862	C₂	—	2	2	no	—
1863	C₂	—	4	1	no	—
1864	C₂	—	4	1	no	—
1865	C₂	—	8	1	no	—
1866	C₂	—	26	2	no	—
1867	C₂	—	52	1	no	—
1868	C₂	—	52	2	no	—
1869	C₂	—	104	1	no	—
1870	C₂	#13128468	1	1	yes	characteristic
1871	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1872	C₂	#13129605	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×#3190	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128319	C₂
hypercenter	#3190	D₁₃
hypocenter	C₁₃	#61607
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3190

Complements

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

N	H ≅ G/N	type
1. #13128632	C₂	semidirect
3. #13127172	C₂	semidirect
4. #13127150	C₂	semidirect
5. #13126953	C₂	semidirect
6. #13126950	C₂	semidirect
7. #13126923	C₂	semidirect
8. #13126920	C₂	semidirect
9. #13126707	C₂	semidirect
10. #13126655	C₂	semidirect
11. #13126585	C₂	semidirect
12. #13126529	C₂	semidirect
13. #13126500	C₂	semidirect
14. #13126475	C₂	semidirect
15. #13126409	C₂	semidirect
16. #13126403	C₂	semidirect
17. #13126349	C₂	semidirect
18. #13126343	C₂	semidirect
19. #13125844	C₂	semidirect
20. #13125790	C₂	semidirect
21. #13125670	C₂	semidirect
22. #13125662	C₂	semidirect
23. #13125621	C₂	semidirect
24. #13124993	C₂	semidirect
25. #13124902	C₂	semidirect
26. #13124094	C₂	semidirect
27. #13124093	C₂	semidirect
28. C₂×#11718394	C₂	semidirect
29. D₁₃×#452	C₂	semidirect
30. #13123867	C₂	semidirect
31. C₁₃×#3190	C₂	semidirect
35. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
37. Q₈×C₂²⋊D₁₃	C₂²	semidirect
38. Q₈×C₂²⋊D₁₃	C₂²	semidirect
39. C₂×#88196	C₂²	semidirect
40. C₂×#88196	C₂²	semidirect
42. C₂×#88178	C₂²	semidirect
43. C₂×#88172	C₂²	semidirect
44. C₂×Q₁₆×D₁₃	C₂²	semidirect
45. C₂×#88169	C₂²	semidirect
46. C₂×SD₁₆×D₁₃	C₂²	semidirect
47. C₂²×Dic₅₂	C₂²	semidirect
48. C₂²×#6095	C₂²	semidirect
54. #11719340	C₂²	semidirect
59. #11719337	C₂²	semidirect
62. D₁₃×C₂²⋊Q₈	C₂²	semidirect
63. D₁₃×C₂²⋊Q₈	C₂²	semidirect
65. #11719327	C₂²	semidirect
66. #11719327	C₂²	semidirect
81. #11719216	C₂²	semidirect
82. #11719216	C₂²	semidirect
85. C₁₃×#485	C₂²	semidirect
86. C₁₃×#485	C₂²	semidirect
87. C₁₃×#483	C₂²	semidirect
88. C₁₃×#480	C₂²	semidirect
89. C₁₃×#467	C₂²	semidirect
90. C₁₃×#467	C₂²	semidirect
91. C₁₃×#465	C₂²	semidirect
92. C₁₃×#465	C₂²	semidirect
93. C₁₃×#452	C₂²	semidirect
94. C₁₃×#452	C₂²	semidirect
95. C₁₃×#451	C₂²	semidirect
96. C₁₃×#448	C₂²	semidirect
97. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718900	C₂²	semidirect
100. #11718868	C₂²	semidirect
101. #11718851	C₂²	semidirect
102. #11718848	C₂²	semidirect
103. #11718847	C₂²	semidirect
104. #11718846	C₂²	semidirect
105. #11718843	C₂²	semidirect
106. #11718842	C₂²	semidirect
107. #11718836	C₂²	semidirect
108. #11718834	C₂²	semidirect
109. #11718830	C₂²	semidirect
110. #11718828	C₂²	semidirect
111. #11718827	C₂²	semidirect
112. #11718824	C₂²	semidirect
113. C₂×#88061	C₂²	semidirect
114. #11718772	C₂²	semidirect
115. #11718772	C₂²	semidirect
118. C₂×#88056	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718713	C₂²	semidirect
121. #11718711	C₂²	semidirect
122. #11718711	C₂²	semidirect
123. #11718711	C₂²	semidirect
126. #11718708	C₂²	semidirect
127. #11718708	C₂²	semidirect
128. #11718707	C₂²	semidirect
129. #11718707	C₂²	semidirect
130. #11718705	C₂²	semidirect
131. #11718703	C₂²	semidirect
132. #11718703	C₂²	semidirect
133. #11718701	C₂²	semidirect
134. #11718695	C₂²	semidirect
135. #11718657	C₂²	semidirect
136. #11718657	C₂²	semidirect
137. #11718627	C₂²	semidirect
138. #11718627	C₂²	semidirect
139. #11718551	C₂²	semidirect
140. #11718550	C₂²	semidirect
141. #11718548	C₂²	semidirect
142. #11718547	C₂²	semidirect
143. #11718545	C₂²	semidirect
144. #11718543	C₂²	semidirect
145. #11718536	C₂²	semidirect
146. #11718534	C₂²	semidirect
147. #11718531	C₂²	semidirect
148. #11718529	C₂²	semidirect
149. #11718525	C₂²	semidirect
150. #11718524	C₂²	semidirect
151. #11718523	C₂²	semidirect
152. #11718515	C₂²	semidirect
153. #11718514	C₂²	semidirect
154. #11718513	C₂²	semidirect
155. #11718479	C₂²	semidirect
156. #11718479	C₂²	semidirect
157. #11718478	C₂²	semidirect
158. #11718477	C₂²	semidirect
159. #11718474	C₂²	semidirect
160. #11718473	C₂²	semidirect
161. #11718471	C₂²	semidirect
162. #11718469	C₂²	semidirect
163. #11718469	C₂²	semidirect
164. #11718469	C₂²	semidirect
165. #11718468	C₂²	semidirect
166. #11718467	C₂²	semidirect
167. #11718467	C₂²	semidirect
168. #11718464	C₂²	semidirect
169. D₁₃×#103	C₂²	semidirect
170. #11718459	C₂²	semidirect
171. #11718456	C₂²	semidirect
172. #11718454	C₂²	semidirect
173. #11718454	C₂²	semidirect
174. #11718454	C₂²	semidirect
175. #11718453	C₂²	semidirect
176. #11718451	C₂²	semidirect
177. #11718450	C₂²	semidirect
178. #11718449	C₂²	semidirect
179. #11718444	C₂²	semidirect
180. #11718437	C₂²	semidirect
181. #11718432	C₂²	semidirect
182. D₁₃×#102	C₂²	semidirect
183. #11718428	C₂²	semidirect
184. #11718426	C₂²	semidirect
185. #11718423	C₂²	semidirect
186. #11718421	C₂²	semidirect
189. #11718394	C₂²	semidirect
190. #11718394	C₂²	semidirect
191. #11718394	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718394	C₂²	semidirect
194. #11718394	C₂²	semidirect
195. #11718390	C₂²	semidirect
196. #11718390	C₂²	semidirect
197. #11718389	C₂²	semidirect
198. #11718389	C₂²	semidirect
199. #11718387	C₂²	semidirect
200. D₁₃×C₂²⋊C₈	C₂²	semidirect
201. #11718380	C₂²	semidirect
202. #11718379	C₂²	semidirect
761. #3190	D₁₃	semidirect
835. C₂²⋊D₁₃	#137	semidirect
952. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
967. #485	C₂×D₁₃	semidirect
968. #485	C₂×D₁₃	semidirect
972. #483	C₂×D₁₃	semidirect
976. #480	C₂×D₁₃	semidirect
991. #467	C₂×D₁₃	semidirect
992. #467	C₂×D₁₃	semidirect
995. #465	C₂×D₁₃	semidirect
996. #465	C₂×D₁₃	semidirect
1027. #452	C₂×D₁₃	semidirect
1028. #452	C₂×D₁₃	semidirect
1036. #451	C₂×D₁₃	semidirect
1044. #448	C₂×D₁₃	semidirect
1074. C₂×C₂²⋊C₈	C₂×D₁₃	semidirect
1673. C₁₃	#61607	semidirect

Maximal subgroups

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

subgroup	index
#13128632	2
#13128319	2
#13127172	2
#13127150	2
#13126953	2
#13126950	2
#13126923	2
#13126920	2
#13126707	2
#13126655	2
#13126585	2
#13126529	2
#13126500	2
#13126475	2
#13126409	2
#13126403	2
#13126349	2
#13126343	2
#13125844	2
#13125790	2
#13125670	2
#13125662	2
#13125621	2
#13124993	2
#13124902	2
#13124094	2
#13124093	2
C₂×#11718394	2
D₁₃×#452	2
#13123867	2
C₁₃×#3190	2
#61607	13