Subgroups — #16738684

Order 3328.

2706 conjugacy classes of subgroups.

The subgroup lattice has 2040 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719483	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#11719482	C₂	1	1	yes	maximal, characteristic, complemented
3	#13128513	C₂	1	1	yes	maximal, characteristic, complemented
4	#13128475	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126556	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126551	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126545	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126536	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126475	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126448	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126440	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126386	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126385	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126368	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126368	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126367	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126362	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126347	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126340	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125324	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124524	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124465	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124383	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124343	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124144	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124126	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124059	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123663	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123565	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic, complemented
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×#88254	C₂²	1	1	yes	characteristic
35	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#547	C₂²	1	1	yes	characteristic
40	#11719534	C₂²	1	1	yes	characteristic
41	#11719529	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
44	#11719522	C₂²	1	1	yes	characteristic, complemented
45	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#6106	C₂²	1	1	yes	characteristic, complemented
48	#11719483	—	2	8	no	—
49	#11719482	—	2	8	no	—
50	C₂×#88173	C₂²	1	1	yes	characteristic
51	C₂×#88173	C₂²	1	1	yes	characteristic
52	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
57	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
59	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88168	C₂²	1	1	yes	characteristic
63	C₂×#88168	C₂²	1	1	yes	characteristic
64	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
65	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
66	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
67	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
68	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
69	C₂×#88161	C₂²	1	1	yes	characteristic, complemented
70	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
71	#11719431	—	2	1	no	—
72	#11719431	C₂²	1	1	yes	characteristic, complemented
73	#11719431	C₂²	1	1	yes	characteristic, complemented
74	#11719429	—	2	1	no	—
75	#11719429	C₂²	1	1	yes	characteristic, complemented
76	#11719429	C₂²	1	1	yes	characteristic, complemented
77	#11719360	—	2	1	no	—
78	#11719359	—	2	1	no	—
79	#11719358	—	2	1	no	—
80	D₁₃×#123	—	2	1	no	—
81	#11719336	—	2	1	no	—
82	#11719336	C₂²	1	1	yes	characteristic
83	#11719336	C₂²	1	1	yes	characteristic, complemented
84	#11719335	—	2	1	no	—
85	#11719335	C₂²	1	1	yes	characteristic, complemented
86	#11719335	C₂²	1	1	yes	characteristic, complemented
87	#11719334	—	2	1	no	—
88	#11719334	C₂²	1	1	yes	characteristic
89	#11719333	C₂²	1	1	yes	characteristic, complemented
90	#11719332	C₂²	1	1	yes	characteristic
91	D₁₃×C₂²⋊Q₈	—	2	1	no	—
92	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
93	#11719315	—	2	1	no	—
94	#11719310	—	2	1	no	—
95	#11719281	C₂²	1	1	yes	characteristic, complemented
96	#11719279	C₂²	1	1	yes	characteristic, complemented
97	#11719259	C₂²	1	1	yes	characteristic, complemented
98	#11719255	—	2	1	no	—
99	#11719255	C₂²	1	1	yes	characteristic
100	#11719255	C₂²	1	1	yes	characteristic, complemented
101	#11719252	—	2	1	no	—
102	#11719252	C₂²	1	1	yes	characteristic
103	#11719250	C₂²	1	1	yes	characteristic, complemented
104	#11719212	—	2	1	no	—
105	C₂×#88148	—	2	1	no	—
106	C₁₃×#494	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
117	#11718900	C₂²	1	1	yes	characteristic, complemented
118	#11718899	C₂²	1	1	yes	characteristic, complemented
119	#11718889	C₂²	1	1	yes	characteristic, complemented
120	#11718888	C₂²	1	1	yes	characteristic, complemented
121	#11718852	C₂²	1	1	yes	characteristic, complemented
122	#11718851	C₂²	1	1	yes	characteristic, complemented
123	#11718851	C₂²	1	1	yes	characteristic, complemented
124	#11718849	C₂²	1	1	yes	characteristic, complemented
125	#11718849	C₂²	1	1	yes	characteristic, complemented
126	#11718848	C₂²	1	1	yes	characteristic, complemented
127	#11718848	C₂²	1	1	yes	characteristic, complemented
128	#11718848	C₂²	1	1	yes	characteristic, complemented
129	#11718848	C₂²	1	1	yes	characteristic, complemented
130	#11718848	C₂²	1	1	yes	characteristic, complemented
131	#11718847	C₂²	1	1	yes	characteristic, complemented
132	#11718846	C₂²	1	1	yes	characteristic, complemented
133	#11718843	C₂²	1	1	yes	characteristic, complemented
134	#11718842	C₂²	1	1	yes	characteristic, complemented
135	#11718834	C₂²	1	1	yes	characteristic, complemented
136	#11718830	C₂²	1	1	yes	characteristic, complemented
137	#11718826	C₂²	1	1	yes	characteristic, complemented
138	#11718825	C₂²	1	1	yes	characteristic, complemented
139	#11718823	C₂²	1	1	yes	characteristic, complemented
140	#11718795	C₂²	1	1	yes	characteristic, complemented
141	#11718795	C₂²	1	1	yes	characteristic, complemented
142	#11718788	C₂²	1	1	yes	characteristic, complemented
143	#11718788	C₂²	1	1	yes	characteristic, complemented
144	#11718747	C₂²	1	1	yes	characteristic, complemented
145	#11718747	C₂²	1	1	yes	characteristic, complemented
146	#11718744	C₂²	1	1	yes	characteristic, complemented
147	#11718744	C₂²	1	1	yes	characteristic, complemented
148	#11718713	C₂²	1	1	yes	characteristic, complemented
149	#11718712	C₂²	1	1	yes	characteristic, complemented
150	#11718710	C₂²	1	1	yes	characteristic, complemented
151	#11718709	C₂²	1	1	yes	characteristic, complemented
152	#11718708	C₂²	1	1	yes	characteristic, complemented
153	#11718708	C₂²	1	1	yes	characteristic, complemented
154	#11718707	C₂²	1	1	yes	characteristic, complemented
155	#11718707	C₂²	1	1	yes	characteristic, complemented
156	#11718689	C₂²	1	1	yes	characteristic, complemented
157	#11718687	C₂²	1	1	yes	characteristic, complemented
158	#11718677	C₂²	1	1	yes	characteristic, complemented
159	#11718675	C₂²	1	1	yes	characteristic, complemented
160	#11718672	C₂²	1	1	yes	characteristic, complemented
161	#11718530	C₂²	1	1	yes	characteristic, complemented
162	#11718525	C₂²	1	1	yes	characteristic, complemented
163	#11718525	C₂²	1	1	yes	characteristic, complemented
164	#11718522	C₂²	1	1	yes	characteristic, complemented
165	#11718505	C₂²	1	1	yes	characteristic, complemented
166	#11718505	C₂²	1	1	yes	characteristic, complemented
167	#11718500	C₂²	1	1	yes	characteristic, complemented
168	#11718497	C₂²	1	1	yes	characteristic, complemented
169	#11718480	C₂²	1	1	yes	characteristic, complemented
170	#11718480	C₂²	1	1	yes	characteristic, complemented
171	#11718479	C₂²	1	1	yes	characteristic, complemented
172	#11718479	C₂²	1	1	yes	characteristic, complemented
173	#11718477	C₂²	1	1	yes	characteristic, complemented
174	#11718474	C₂²	1	1	yes	characteristic, complemented
175	#11718473	C₂²	1	1	yes	characteristic, complemented
176	#11718472	C₂²	1	1	yes	characteristic, complemented
177	#11718472	C₂²	1	1	yes	characteristic, complemented
178	#11718472	C₂²	1	1	yes	characteristic, complemented
179	#11718471	C₂²	1	1	yes	characteristic, complemented
180	#11718471	C₂²	1	1	yes	characteristic, complemented
181	#11718469	C₂²	1	1	yes	characteristic, complemented
182	#11718468	C₂²	1	1	yes	characteristic, complemented
183	#11718465	C₂²	1	1	yes	characteristic, complemented
184	#11718465	C₂²	1	1	yes	characteristic, complemented
185	#11718464	C₂²	1	1	yes	characteristic, complemented
186	#11718463	C₂²	1	1	yes	characteristic, complemented
187	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
188	#11718449	C₂²	1	1	yes	characteristic, complemented
189	#11718444	C₂²	1	1	yes	characteristic, complemented
190	#11718434	C₂²	1	1	yes	characteristic, complemented
191	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
192	#11718417	C₂²	1	1	yes	characteristic, complemented
193	#11718394	C₂²	1	1	yes	characteristic, complemented
194	#11718394	C₂²	1	1	yes	characteristic, complemented
195	#11718393	C₂²	1	1	yes	characteristic, complemented
196	#11718393	C₂²	1	1	yes	characteristic, complemented
197	#11718390	C₂²	1	1	yes	characteristic, complemented
198	#11718388	C₂²	1	1	yes	characteristic, complemented
199	#11718386	C₂²	1	1	yes	characteristic, complemented
200	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	#11718357	C₂²	1	1	yes	characteristic, complemented
202	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
203	#11718350	C₂²	1	1	yes	characteristic, complemented
204	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
209	#88256	—	2	4	no	—
210	#88256	—	4	2	no	—
211	#41×D₁₃	—	2	4	no	—
212	#41×D₁₃	—	4	2	no	—
213	#88254	—	2	4	no	—
214	#88254	—	4	2	no	—
215	C₂×#6131	—	2	1	no	—
216	C₂×#6131	—	2	1	no	—
217	C₂×#6131	—	2	1	no	—
218	C₂×#6131	—	2	4	no	—
219	C₂×#6131	—	4	2	no	—
220	C₂×#6131	C₂³	1	1	yes	characteristic
221	C₂×#6131	C₂³	1	1	yes	characteristic
222	C₂×#6131	C₂³	1	1	yes	characteristic
223	C₂×#6131	C₂³	1	1	yes	characteristic
224	C₂×#6131	C₂³	1	1	yes	characteristic
225	C₂×#6131	C₂³	1	1	yes	characteristic
226	C₂×#6131	C₂³	1	1	yes	characteristic
227	C₂×#6131	C₂³	1	1	yes	characteristic
228	C₂×Q₈×D₁₃	—	2	1	no	—
229	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
231	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
232	C₂×#6129	—	2	1	no	—
233	C₂×#6129	C₂³	1	1	yes	characteristic
234	C₂×D₄×D₁₃	—	2	1	no	—
235	C₂×D₄×D₁₃	—	2	1	no	—
236	C₂×D₄×D₁₃	—	2	1	no	—
237	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
238	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
239	C₂×#6127	—	2	1	no	—
240	C₂×#6127	—	2	1	no	—
241	C₂×#6127	—	2	1	no	—
242	C₂×#6127	—	2	1	no	—
243	C₂×#6127	C₂³	1	1	yes	characteristic
244	C₂×#6127	C₂³	1	1	yes	characteristic
245	C₂×#6127	C₂³	1	1	yes	characteristic
246	C₂²×D₅₂	—	2	1	no	—
247	C₂²×D₅₂	—	2	1	no	—
248	C₂²×D₅₂	C₂³	1	1	yes	characteristic
249	C₂²×D₅₂	C₂³	1	1	yes	characteristic
250	C₂²×C₄×D₁₃	—	2	1	no	—
251	C₂²×C₄×D₁₃	—	2	1	no	—
252	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
253	C₁₃×#137	—	2	4	no	—
254	C₁₃×#137	—	2	4	no	—
255	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
266	C₁₃×C₄⋊Q₈	—	2	1	no	—
267	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
268	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
269	C₁₃×#123	—	2	1	no	—
270	C₁₃×#123	—	2	1	no	—
271	C₁₃×C₂²⋊Q₈	—	2	1	no	—
272	C₁₃×C₂²⋊Q₈	—	2	1	no	—
273	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
274	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
277	C₁₃×#121	—	2	1	no	—
278	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	—	2	1	no	—
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
283	#88204	—	2	4	no	—
284	#88203	—	2	4	no	—
285	#88201	—	2	1	no	—
286	#88201	C₂³	1	1	yes	characteristic
287	#88201	C₂³	1	1	yes	characteristic
288	#88200	—	2	1	no	—
289	#88200	—	2	1	no	—
290	#88200	C₂³	1	1	yes	characteristic
291	#88200	C₂³	1	1	yes	characteristic
292	#88200	C₂³	1	1	yes	characteristic
293	#88200	C₂³	1	1	yes	characteristic
294	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
295	#88198	—	2	1	no	—
296	#88198	C₂³	1	1	yes	characteristic
297	#88198	C₂³	1	1	yes	characteristic
298	C₂×#6107	C₂³	1	1	yes	characteristic
299	C₂×#6107	C₂³	1	1	yes	characteristic
300	C₂×#6107	C₂³	1	1	yes	characteristic
301	C₂×#6107	C₂³	1	1	yes	characteristic
302	C₂×#6107	C₂³	1	1	yes	characteristic
303	#88196	—	2	4	no	—
304	C₂×#6106	—	2	4	no	—
305	C₂×#6106	C₂³	1	1	yes	characteristic
306	C₂×#6106	C₂³	1	1	yes	characteristic
307	C₂×#6106	C₂³	1	1	yes	characteristic
308	C₂×#6106	C₂³	1	1	yes	characteristic
309	C₂×#6106	C₂³	1	1	yes	characteristic
310	C₂×#6106	C₂³	1	1	yes	characteristic
311	C₂×#6106	C₂³	1	1	yes	characteristic
312	C₂×#6106	C₂³	1	1	yes	characteristic
313	C₂×#6106	C₂³	1	1	yes	characteristic
314	C₂×#6106	C₂³	1	1	yes	characteristic
315	#88193	—	2	1	no	—
316	#88193	—	2	1	no	—
317	#88193	D₄	1	1	yes	characteristic
318	#88191	—	2	1	no	—
319	#88191	—	2	1	no	—
320	#88191	—	2	1	no	—
321	#88191	D₄	1	1	yes	characteristic
322	#88189	—	2	1	no	—
323	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
324	C₂×#6105	C₂³	1	1	yes	characteristic
325	C₂×#6104	C₂³	1	1	yes	characteristic
326	C₂×#6104	C₂³	1	1	yes	characteristic
327	#88184	—	2	1	no	—
328	#88184	—	2	1	no	—
329	#88184	C₂³	1	1	yes	characteristic
330	#88184	C₂³	1	1	yes	characteristic
331	#88183	—	2	1	no	—
332	#88183	—	2	1	no	—
333	C₄×C₂²⋊D₁₃	—	2	1	no	—
334	C₄×C₂²⋊D₁₃	—	2	1	no	—
335	C₄×C₂²⋊D₁₃	—	2	1	no	—
336	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
337	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
338	C₂×#6103	—	2	1	no	—
339	C₂×#6103	—	2	1	no	—
340	C₂×#6103	—	2	1	no	—
341	#88178	—	2	1	no	—
342	#88178	C₂³	1	1	yes	characteristic
343	#88178	C₂³	1	1	yes	characteristic
344	C₂×#6101	—	2	1	no	—
345	C₂×#6099	C₂³	1	1	yes	characteristic
346	C₂²×#1055	C₂³	1	1	yes	characteristic
347	#88173	—	2	4	no	—
348	#88173	—	2	4	no	—
349	#88173	—	2	4	no	—
350	#88173	—	2	4	no	—
351	#88173	—	4	2	no	—
352	#88172	—	2	4	no	—
353	#88172	—	2	4	no	—
354	#88172	—	2	4	no	—
355	#88172	—	2	4	no	—
356	Q₁₆×D₁₃	—	4	2	no	—
357	#88170	—	2	4	no	—
358	#88170	—	2	4	no	—
359	#88168	—	2	4	no	—
360	#88168	—	2	4	no	—
361	#88168	D₄	1	8	yes	complemented
362	SD₁₆×D₁₃	—	2	4	no	—
363	SD₁₆×D₁₃	—	2	4	no	—
364	#88162	—	2	4	no	—
365	#88162	—	2	4	no	—
366	#88161	—	2	4	no	—
367	M₁₆×D₁₃	—	2	4	no	—
368	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
369	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
370	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
371	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
372	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
373	C₂×#6095	C₂³	1	1	yes	characteristic
374	C₂×#6095	C₂³	1	1	yes	characteristic
375	C₂×#6095	C₂³	1	1	yes	characteristic
376	C₂×#6095	C₂³	1	1	yes	characteristic
377	C₂×#6094	C₂³	1	1	yes	characteristic
378	C₂×#6094	C₂³	1	1	yes	characteristic
379	C₂×#6094	C₂³	1	1	yes	characteristic
380	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
381	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
382	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
383	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
384	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
385	#88151	—	2	1	no	—
386	#88151	C₂³	1	1	yes	characteristic
387	#88151	C₂³	1	1	yes	characteristic
388	#88150	—	2	1	no	—
389	#88150	—	2	1	no	—
390	#88150	—	2	1	no	—
391	#88150	—	2	1	no	—
392	#88150	—	2	1	no	—
393	#88150	—	2	1	no	—
394	#88150	D₄	1	1	yes	characteristic
395	#88149	—	2	1	no	—
396	#88149	—	2	1	no	—
397	#88149	—	2	1	no	—
398	#88149	—	2	1	no	—
399	#88149	—	2	1	no	—
400	#88149	—	2	1	no	—
401	#88149	C₂³	1	1	yes	characteristic
402	#88149	C₂³	1	1	yes	characteristic
403	#88148	—	2	1	no	—
404	#88148	—	2	1	no	—
405	#88148	—	2	1	no	—
406	#88148	—	2	1	no	—
407	#88148	—	2	1	no	—
408	#88148	—	2	1	no	—
409	#88148	—	2	1	no	—
410	#88148	—	2	1	no	—
411	#88148	—	2	1	no	—
412	#88148	—	2	1	no	—
413	#88148	—	2	1	no	—
414	#88148	—	2	1	no	—
415	#88148	—	2	1	no	—
416	#88148	—	2	1	no	—
417	#88148	—	2	1	no	—
418	#88148	—	2	1	no	—
419	#88148	D₄	1	1	yes	characteristic
420	#88147	—	2	1	no	—
421	#88147	—	2	1	no	—
422	#88147	C₂³	1	1	yes	characteristic
423	#88147	C₂³	1	1	yes	characteristic
424	#88146	C₂³	1	1	yes	characteristic
425	C₄⋊C₄×D₁₃	—	2	1	no	—
426	C₄⋊C₄×D₁₃	—	2	1	no	—
427	C₄⋊C₄×D₁₃	—	2	1	no	—
428	C₄⋊C₄×D₁₃	—	2	1	no	—
429	C₄⋊C₄×D₁₃	—	2	1	no	—
430	C₄⋊C₄×D₁₃	—	2	1	no	—
431	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
432	#88142	—	2	1	no	—
433	#88140	—	2	1	no	—
434	#88139	—	2	1	no	—
435	#88138	—	2	1	no	—
436	#88138	—	2	1	no	—
437	#88138	—	2	1	no	—
438	#88138	—	2	1	no	—
439	#88138	—	2	1	no	—
440	#88138	—	2	1	no	—
441	#88138	D₄	1	1	yes	characteristic
442	#88137	—	2	1	no	—
443	#88137	—	2	1	no	—
444	#88137	—	2	1	no	—
445	#88137	D₄	1	1	yes	characteristic
446	#88136	—	2	1	no	—
447	#88136	—	2	1	no	—
448	#88136	—	2	1	no	—
449	#88136	—	2	1	no	—
450	#88136	D₄	1	1	yes	characteristic
451	#88135	—	2	1	no	—
452	#88135	—	2	1	no	—
453	C₂²⋊C₄×D₁₃	—	2	1	no	—
454	C₂²⋊C₄×D₁₃	—	2	1	no	—
455	C₂²⋊C₄×D₁₃	—	2	1	no	—
456	C₂²⋊C₄×D₁₃	—	2	1	no	—
457	C₂²⋊C₄×D₁₃	—	2	1	no	—
458	C₂²⋊C₄×D₁₃	—	2	1	no	—
459	#88132	—	2	1	no	—
460	#88132	D₄	1	1	yes	characteristic
461	#88129	—	2	1	no	—
462	#88129	C₂³	1	1	yes	characteristic
463	#88129	C₂³	1	1	yes	characteristic
464	C₄×D₅₂	—	2	1	no	—
465	C₄×D₅₂	—	2	1	no	—
466	C₄×D₅₂	C₂³	1	1	yes	characteristic
467	C₄×D₅₂	C₂³	1	1	yes	characteristic
468	C₄×D₅₂	C₂³	1	1	yes	characteristic
469	#88126	—	2	1	no	—
470	#88126	C₂³	1	1	yes	characteristic
471	C₁₃×#106	C₂³	1	1	yes	characteristic
472	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
473	C₁₃×#103	C₂³	1	1	yes	characteristic
474	C₁₃×#103	C₂³	1	1	yes	characteristic
475	C₁₃×#103	C₂³	1	1	yes	characteristic
476	C₁₃×#103	C₂³	1	1	yes	characteristic
477	C₁₃×#103	C₂³	1	1	yes	characteristic
478	C₁₃×#102	C₂³	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
482	#88075	C₂³	1	1	yes	characteristic
483	#88075	C₂³	1	1	yes	characteristic
484	#88075	C₂³	1	1	yes	characteristic
485	#88075	C₂³	1	1	yes	characteristic
486	#88075	C₂³	1	1	yes	characteristic
487	#88072	C₂³	1	1	yes	characteristic
488	C₂²⋊#1055	C₂³	1	1	yes	characteristic
489	C₂²⋊#1055	C₂³	1	1	yes	characteristic
490	#88061	C₂³	1	1	yes	characteristic
491	#88061	C₂³	1	1	yes	characteristic
492	#88061	C₂³	1	1	yes	characteristic
493	#88061	C₂³	1	1	yes	characteristic
494	#88060	C₂³	1	1	yes	characteristic
495	#88060	C₂³	1	1	yes	characteristic
496	#88060	C₂³	1	1	yes	characteristic
497	#88060	C₂³	1	1	yes	characteristic
498	#88058	C₂³	1	1	yes	characteristic
499	#88056	C₂³	1	1	yes	characteristic
500	#88056	C₂³	1	1	yes	characteristic
501	#88055	C₂³	1	1	yes	characteristic
502	#88054	C₂³	1	1	yes	characteristic
503	#88054	C₂³	1	1	yes	characteristic
504	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
505	#88050	C₂³	1	1	yes	characteristic
506	#88050	C₂³	1	1	yes	characteristic
507	#88049	C₂³	1	1	yes	characteristic
508	#88049	C₂³	1	1	yes	characteristic
509	#88049	C₂³	1	1	yes	characteristic
510	#88049	C₂³	1	1	yes	characteristic
511	#88048	C₂³	1	1	yes	characteristic
512	#88047	C₂³	1	1	yes	characteristic
513	C₄⋊#1055	C₂³	1	1	yes	characteristic
514	#88043	C₂³	1	1	yes	characteristic
515	#61073	—	13	1	no	maximal, Sylow
516	C₂³×D₁₃	—	2	1	no	—
517	C₂³×D₁₃	—	2	1	no	—
518	C₂³×D₁₃	—	2	1	no	—
519	C₂³×D₁₃	—	2	1	no	—
520	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
521	C₁₃×#41	—	2	2	no	—
522	C₁₃×#41	—	2	2	no	—
523	C₁₃×#41	—	4	1	no	—
524	C₁₃×#41	—	4	1	no	—
525	C₂×Q₈×C₁₃	—	2	1	no	—
526	C₂×Q₈×C₁₃	—	2	1	no	—
527	C₂×Q₈×C₁₃	—	2	2	no	—
528	C₂×Q₈×C₁₃	—	2	2	no	—
529	C₂×Q₈×C₁₃	—	4	1	no	—
530	C₂×Q₈×C₁₃	—	4	1	no	—
531	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂×D₄×C₁₃	—	2	1	no	—
537	C₂×D₄×C₁₃	—	2	1	no	—
538	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	—	2	1	no	—
541	C₂²×C₄×C₁₃	—	2	1	no	—
542	C₂²×C₄×C₁₃	—	2	1	no	—
543	C₂²×C₄×C₁₃	—	2	1	no	—
544	C₂²×C₄×C₁₃	—	2	1	no	—
545	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
558	C₂²×Dic₁₃	—	2	1	no	—
559	C₂²×Dic₁₃	—	2	1	no	—
560	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
561	#6131	—	2	2	no	—
562	#6131	—	2	2	no	—
563	#6131	—	2	2	no	—
564	#6131	—	2	2	no	—
565	#6131	—	2	2	no	—
566	#6131	—	2	2	no	—
567	#6131	—	2	2	no	—
568	#6131	—	2	2	no	—
569	#6131	—	2	2	no	—
570	#6131	—	2	2	no	—
571	#6131	—	4	4	no	—
572	#6131	—	4	1	no	—
573	#6131	—	4	1	no	—
574	#6131	—	4	1	no	—
575	#6131	—	4	1	no	—
576	#6131	—	4	1	no	—
577	#6131	—	4	4	no	—
578	#6131	—	4	4	no	—
579	#6131	C₂×D₄	1	4	yes	—
580	Q₈×D₁₃	—	2	2	no	—
581	Q₈×D₁₃	—	2	2	no	—
582	Q₈×D₁₃	—	2	2	no	—
583	Q₈×D₁₃	—	2	2	no	—
584	Q₈×D₁₃	—	2	2	no	—
585	Q₈×D₁₃	—	4	1	no	—
586	Q₈×D₁₃	—	4	4	no	—
587	#6129	—	2	2	no	—
588	#6129	—	4	1	no	—
589	#6129	—	4	4	no	—
590	D₄×D₁₃	—	2	2	no	—
591	D₄×D₁₃	—	2	2	no	—
592	D₄×D₁₃	—	4	1	no	—
593	D₄×D₁₃	—	4	4	no	—
594	D₄×D₁₃	—	4	4	no	—
595	D₄×D₁₃	—	4	4	no	—
596	D₄×D₁₃	C₂×D₄	1	4	yes	—
597	#6127	—	2	2	no	—
598	#6127	—	2	2	no	—
599	#6127	—	2	2	no	—
600	#6127	—	2	2	no	—
601	#6127	—	4	1	no	—
602	#6127	—	4	1	no	—
603	#6127	—	4	4	no	—
604	#6127	—	4	4	no	—
605	#6127	—	4	4	no	—
606	#6127	—	4	4	no	—
607	C₂×D₅₂	—	2	1	no	—
608	C₂×D₅₂	—	2	2	no	—
609	C₂×D₅₂	—	2	2	no	—
610	C₂×D₅₂	—	2	1	no	—
611	C₂×D₅₂	—	2	1	no	—
612	C₂×D₅₂	—	2	1	no	—
613	C₂×D₅₂	—	2	1	no	—
614	C₂×D₅₂	—	2	1	no	—
615	C₂×D₅₂	—	2	1	no	—
616	C₂×D₅₂	—	2	1	no	—
617	C₂×D₅₂	—	2	1	no	—
618	C₂×D₅₂	—	2	1	no	—
619	C₂×D₅₂	—	2	1	no	—
620	C₂×D₅₂	—	2	1	no	—
621	C₂×D₅₂	—	4	1	no	—
622	C₂×D₅₂	—	4	1	no	—
623	C₂×D₅₂	—	4	4	no	—
624	C₂×D₅₂	—	4	4	no	—
625	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
626	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
627	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
628	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
629	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
630	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
631	C₂×C₄×D₁₃	—	2	1	no	—
632	C₂×C₄×D₁₃	—	2	2	no	—
633	C₂×C₄×D₁₃	—	2	2	no	—
634	C₂×C₄×D₁₃	—	2	1	no	—
635	C₂×C₄×D₁₃	—	2	1	no	—
636	C₂×C₄×D₁₃	—	2	1	no	—
637	C₂×C₄×D₁₃	—	2	1	no	—
638	C₂×C₄×D₁₃	—	2	1	no	—
639	C₂×C₄×D₁₃	—	2	1	no	—
640	C₂×C₄×D₁₃	—	2	1	no	—
641	C₂×C₄×D₁₃	—	2	1	no	—
642	C₂×C₄×D₁₃	—	2	1	no	—
643	C₂×C₄×D₁₃	—	2	1	no	—
644	C₂×C₄×D₁₃	—	2	1	no	—
645	C₂×C₄×D₁₃	—	2	1	no	—
646	C₂×C₄×D₁₃	—	2	1	no	—
647	C₂×C₄×D₁₃	—	2	1	no	—
648	C₂×C₄×D₁₃	—	2	1	no	—
649	C₂×C₄×D₁₃	—	2	1	no	—
650	C₂×C₄×D₁₃	—	2	1	no	—
651	C₂×C₄×D₁₃	—	4	4	no	—
652	C₂×C₄×D₁₃	—	4	4	no	—
653	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
654	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
655	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
656	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
657	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
658	C₂×Dic₂₆	—	2	1	no	—
659	C₂×Dic₂₆	—	2	1	no	—
660	C₂×Dic₂₆	—	2	1	no	—
661	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
662	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
663	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
664	C₁₃×Q₁₆	—	2	2	no	—
665	C₁₃×Q₁₆	—	2	2	no	—
666	C₁₃×Q₁₆	—	2	2	no	—
667	C₁₃×Q₁₆	—	2	2	no	—
668	C₁₃×Q₁₆	—	4	1	no	—
669	C₁₃×Q₁₆	—	4	1	no	—
670	C₁₃×SD₁₆	—	2	2	no	—
671	C₁₃×SD₁₆	—	2	2	no	—
672	C₁₃×SD₁₆	C₂×D₄	1	4	yes	—
673	C₁₃×M₁₆	—	2	2	no	—
674	C₁₃×M₁₆	—	2	2	no	—
675	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
676	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
677	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
678	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
679	C₁₃×C₄⋊C₄	—	2	1	no	—
680	C₁₃×C₄⋊C₄	—	2	1	no	—
681	C₁₃×C₄⋊C₄	—	2	1	no	—
682	C₁₃×C₄⋊C₄	—	2	1	no	—
683	C₁₃×C₄⋊C₄	—	2	1	no	—
684	C₁₃×C₄⋊C₄	—	2	1	no	—
685	C₁₃×C₄⋊C₄	—	2	1	no	—
686	C₁₃×C₄⋊C₄	—	2	1	no	—
687	C₁₃×C₄⋊C₄	—	2	1	no	—
688	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
690	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
691	C₁₃×C₂²⋊C₄	—	2	1	no	—
692	C₁₃×C₂²⋊C₄	—	2	1	no	—
693	C₁₃×C₂²⋊C₄	—	2	1	no	—
694	C₁₃×C₂²⋊C₄	—	2	1	no	—
695	C₁₃×C₂²⋊C₄	—	2	1	no	—
696	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
697	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₁₃	—	2	1	no	—
699	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
700	C₂²⋊Dic₁₃	—	2	1	no	—
701	C₂²⋊Dic₁₃	—	2	1	no	—
702	C₂²⋊Dic₁₃	—	2	1	no	—
703	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
704	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
705	#6107	—	2	2	no	—
706	#6107	—	2	2	no	—
707	#6107	—	2	2	no	—
708	#6107	—	4	1	no	—
709	#6107	—	4	1	no	—
710	#6106	—	2	2	no	—
711	#6106	—	2	2	no	—
712	#6106	—	2	2	no	—
713	#6106	—	2	2	no	—
714	#6106	—	2	2	no	—
715	#6106	—	2	2	no	—
716	#6106	—	2	2	no	—
717	#6106	—	4	1	no	—
718	#6106	—	4	1	no	—
719	#6106	C₂×D₄	1	4	yes	—
720	#6105	—	2	2	no	—
721	#6104	—	2	2	no	—
722	#6104	C₂×D₄	1	4	yes	—
723	#6103	—	2	1	no	—
724	#6103	—	2	1	no	—
725	#6103	—	2	1	no	—
726	#6103	—	2	1	no	—
727	#6103	—	2	1	no	—
728	#6103	—	2	1	no	—
729	#6103	—	2	1	no	—
730	#6103	—	2	1	no	—
731	#6103	—	2	1	no	—
732	#6103	—	2	1	no	—
733	#6103	—	2	1	no	—
734	#6103	—	2	1	no	—
735	#6103	—	2	1	no	—
736	#6103	—	2	1	no	—
737	#6103	—	2	1	no	—
738	#6103	—	2	1	no	—
739	#6103	—	2	1	no	—
740	#6103	—	2	1	no	—
741	#6103	—	2	1	no	—
742	#6103	—	2	1	no	—
743	#6103	—	2	1	no	—
744	#6103	—	2	1	no	—
745	#6103	—	2	1	no	—
746	#6103	C₂×D₄	1	1	yes	characteristic
747	#6103	C₂×D₄	1	1	yes	characteristic
748	#6103	C₂×D₄	1	1	yes	characteristic
749	#6103	C₂×D₄	1	1	yes	characteristic
750	#6103	C₂×D₄	1	1	yes	characteristic
751	#6103	C₂×D₄	1	1	yes	characteristic
752	C₄⋊Dic₁₃	—	2	1	no	—
753	C₄⋊Dic₁₃	—	2	1	no	—
754	C₄⋊Dic₁₃	—	2	1	no	—
755	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
756	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
757	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
758	#6101	—	2	1	no	—
759	#6101	—	2	1	no	—
760	#6101	—	2	1	no	—
761	#6101	—	2	1	no	—
762	#6101	—	2	1	no	—
763	#6101	—	2	1	no	—
764	#6101	—	2	1	no	—
765	#6101	—	2	1	no	—
766	#6101	—	2	1	no	—
767	#6101	—	2	1	no	—
768	#6101	—	2	1	no	—
769	#6101	C₂×D₄	1	1	yes	characteristic
770	#6101	C₂×D₄	1	1	yes	characteristic
771	#6101	C₂×D₄	1	1	yes	characteristic
772	#6101	C₂×D₄	1	1	yes	characteristic
773	C₄×Dic₁₃	—	2	1	no	—
774	C₄×Dic₁₃	—	2	1	no	—
775	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
776	#6099	—	2	2	no	—
777	C₂×#1055	—	2	2	no	—
778	C₂×#1055	C₂⁴	1	1	yes	characteristic
779	C₂×#1055	C₂⁴	1	1	yes	characteristic
780	C₂×#1055	C₂⁴	1	1	yes	characteristic
781	C₂×#1055	C₂⁴	1	1	yes	characteristic
782	Dic₅₂	—	4	1	no	—
783	D₁₀₄	—	2	2	no	—
784	D₁₀₄	—	2	2	no	—
785	D₁₀₄	—	4	1	no	—
786	D₁₀₄	C₂×D₄	1	4	yes	—
787	#6095	—	2	2	no	—
788	#6095	—	2	2	no	—
789	#6095	—	2	2	no	—
790	#6095	—	2	2	no	—
791	#6094	—	2	2	no	—
792	#6094	—	2	2	no	—
793	#6094	C₂×D₄	1	4	yes	—
794	C₈×D₁₃	—	2	2	no	—
795	C₈×D₁₃	—	2	2	no	—
796	C₈×D₁₃	—	2	2	no	—
797	C₈×D₁₃	—	2	2	no	—
798	C₈×D₁₃	—	2	2	no	—
799	C₂×#577	—	13	1	no	—
800	C₂×#575	—	13	1	no	—
801	#3489	—	13	1	no	—
802	#3485	—	13	1	no	—
803	#3283	—	13	1	no	—
804	#3283	—	13	1	no	—
805	#3282	—	13	1	no	—
806	#3282	—	13	1	no	—
807	#3276	—	13	1	no	—
808	#3276	D₁₃	1	1	yes	characteristic, complemented
809	#3273	—	13	1	no	—
810	#3273	—	13	1	no	—
811	#3269	—	13	1	no	—
812	#3269	—	13	1	no	—
813	#3267	—	13	1	no	—
814	#3267	—	13	1	no	—
815	#3267	—	13	1	no	—
816	#3267	—	13	1	no	—
817	#3266	—	13	1	no	—
818	#3266	—	13	1	no	—
819	#3156	—	13	1	no	—
820	#3063	—	13	1	no	—
821	#3056	—	13	1	no	—
822	#3046	—	13	1	no	—
823	#3042	—	13	1	no	—
824	#3012	—	13	1	no	—
825	#3011	—	13	1	no	—
826	#3002	—	13	1	no	—
827	C₂×#452	—	13	1	no	—
828	#2946	—	13	1	no	—
829	#2933	—	13	1	no	—
830	C₂³×C₁₃	—	2	1	no	—
831	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂²×D₁₃	—	2	1	no	—
834	C₂²×D₁₃	—	2	1	no	—
835	C₂²×D₁₃	—	2	2	no	—
836	C₂²×D₁₃	—	2	4	no	—
837	C₂²×D₁₃	—	2	1	no	—
838	C₂²×D₁₃	—	2	1	no	—
839	C₂²×D₁₃	—	4	1	no	—
840	C₂²×D₁₃	—	4	1	no	—
841	C₂²×D₁₃	—	4	2	no	—
842	C₂²×D₁₃	—	4	2	no	—
843	C₂²×D₁₃	—	4	2	no	—
844	C₂²×D₁₃	—	4	2	no	—
845	C₂²×D₁₃	—	8	1	no	—
846	C₂²×D₁₃	—	8	1	no	—
847	C₂²×D₁₃	—	8	1	no	—
848	C₂²×D₁₃	—	8	1	no	—
849	C₂²×D₁₃	—	8	1	no	—
850	C₂²×D₁₃	—	8	1	no	—
851	C₂²×D₁₃	—	8	1	no	—
852	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
853	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
854	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
855	Q₈×C₁₃	—	2	1	no	—
856	Q₈×C₁₃	—	2	1	no	—
857	Q₈×C₁₃	—	2	1	no	—
858	Q₈×C₁₃	—	2	1	no	—
859	Q₈×C₁₃	—	2	1	no	—
860	Q₈×C₁₃	—	2	1	no	—
861	Q₈×C₁₃	—	2	1	no	—
862	Q₈×C₁₃	—	2	1	no	—
863	Q₈×C₁₃	—	2	1	no	—
864	Q₈×C₁₃	—	4	2	no	—
865	Q₈×C₁₃	—	4	2	no	—
866	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
867	D₄×C₁₃	—	2	1	no	—
868	D₄×C₁₃	—	4	1	no	—
869	D₄×C₁₃	—	4	2	no	—
870	D₄×C₁₃	—	4	2	no	—
871	D₄×C₁₃	C₂²×D₄	1	2	yes	—
872	C₂×C₄×C₁₃	—	2	1	no	—
873	C₂×C₄×C₁₃	—	2	1	no	—
874	C₂×C₄×C₁₃	—	2	1	no	—
875	C₂×C₄×C₁₃	—	2	1	no	—
876	C₂×C₄×C₁₃	—	2	1	no	—
877	C₂×C₄×C₁₃	—	2	1	no	—
878	C₂×C₄×C₁₃	—	2	1	no	—
879	C₂×C₄×C₁₃	—	2	1	no	—
880	C₂×C₄×C₁₃	—	2	1	no	—
881	C₂×C₄×C₁₃	—	2	1	no	—
882	C₂×C₄×C₁₃	—	2	1	no	—
883	C₂×C₄×C₁₃	—	4	2	no	—
884	C₂×C₄×C₁₃	—	4	2	no	—
885	C₂×C₄×C₁₃	—	4	2	no	—
886	C₂×C₄×C₁₃	—	4	2	no	—
887	C₂×C₄×C₁₃	—	8	1	no	—
888	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
889	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
890	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
891	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
892	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
893	C₂²⋊D₁₃	—	2	2	no	—
894	C₂²⋊D₁₃	—	2	2	no	—
895	C₂²⋊D₁₃	—	2	4	no	—
896	C₂²⋊D₁₃	—	4	1	no	—
897	C₂²⋊D₁₃	—	4	1	no	—
898	C₂²⋊D₁₃	—	4	2	no	—
899	C₂²⋊D₁₃	—	4	2	no	—
900	C₂²⋊D₁₃	—	4	2	no	—
901	C₂²⋊D₁₃	—	4	2	no	—
902	C₂²⋊D₁₃	—	8	1	no	—
903	C₂²⋊D₁₃	—	8	1	no	—
904	C₂×Dic₁₃	—	2	2	no	—
905	C₂×Dic₁₃	—	2	1	no	—
906	C₂×Dic₁₃	—	2	1	no	—
907	C₂×Dic₁₃	—	2	1	no	—
908	C₂×Dic₁₃	—	2	1	no	—
909	C₂×Dic₁₃	—	4	2	no	—
910	C₂×Dic₁₃	—	8	1	no	—
911	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
912	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
913	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
914	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
915	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
916	D₅₂	—	2	4	no	—
917	D₅₂	—	2	2	no	—
918	D₅₂	—	2	1	no	—
919	D₅₂	—	2	1	no	—
920	D₅₂	—	2	1	no	—
921	D₅₂	—	2	1	no	—
922	D₅₂	—	2	1	no	—
923	D₅₂	—	2	1	no	—
924	D₅₂	—	4	1	no	—
925	D₅₂	—	4	2	no	—
926	D₅₂	—	4	2	no	—
927	D₅₂	—	4	2	no	—
928	D₅₂	—	4	2	no	—
929	D₅₂	—	4	2	no	—
930	D₅₂	—	4	2	no	—
931	D₅₂	—	4	2	no	—
932	D₅₂	—	4	2	no	—
933	D₅₂	—	4	2	no	—
934	D₅₂	—	8	1	no	—
935	D₅₂	—	8	1	no	—
936	D₅₂	C₂²×D₄	1	2	yes	—
937	D₅₂	C₂²×D₄	1	2	yes	—
938	C₄×D₁₃	—	2	2	no	—
939	C₄×D₁₃	—	2	1	no	—
940	C₄×D₁₃	—	2	1	no	—
941	C₄×D₁₃	—	2	1	no	—
942	C₄×D₁₃	—	2	1	no	—
943	C₄×D₁₃	—	2	2	no	—
944	C₄×D₁₃	—	2	4	no	—
945	C₄×D₁₃	—	4	2	no	—
946	C₄×D₁₃	—	4	2	no	—
947	C₄×D₁₃	—	4	2	no	—
948	C₄×D₁₃	—	4	2	no	—
949	C₄×D₁₃	—	4	2	no	—
950	C₄×D₁₃	—	4	2	no	—
951	C₄×D₁₃	—	4	2	no	—
952	C₄×D₁₃	—	4	2	no	—
953	C₄×D₁₃	—	4	2	no	—
954	C₄×D₁₃	—	4	2	no	—
955	C₄×D₁₃	—	4	2	no	—
956	C₄×D₁₃	—	4	2	no	—
957	C₄×D₁₃	—	8	1	no	—
958	C₄×D₁₃	—	8	1	no	—
959	C₄×D₁₃	—	8	1	no	—
960	C₄×D₁₃	—	8	1	no	—
961	C₄×D₁₃	—	8	1	no	—
962	C₄×D₁₃	C₂²×D₄	1	2	yes	—
963	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
964	Dic₂₆	—	2	2	no	—
965	Dic₂₆	—	2	1	no	—
966	Dic₂₆	—	2	1	no	—
967	Dic₂₆	—	2	1	no	—
968	Dic₂₆	—	2	1	no	—
969	Dic₂₆	—	4	2	no	—
970	Dic₂₆	—	4	2	no	—
971	Dic₂₆	—	4	2	no	—
972	C₈×C₁₃	—	2	1	no	—
973	C₈×C₁₃	—	2	1	no	—
974	C₈×C₁₃	—	2	1	no	—
975	C₈×C₁₃	C₂²×D₄	1	2	yes	—
976	#1055	—	2	1	no	—
977	#1055	—	2	1	no	—
978	#1055	—	2	1	no	—
979	#1055	C₂²×D₄	1	2	yes	—
980	C₂×2₋¹⁺⁴	—	13	1	no	—
981	C₂×H(5,𝔽₂)	—	13	1	no	—
982	C₂²×#41	—	13	1	no	—
983	C₂²×#41	—	13	1	no	—
984	#577	—	26	8	no	—
985	#575	—	26	8	no	—
986	C₂×#137	—	13	1	no	—
987	C₂×#137	—	13	1	no	—
988	C₂×#137	—	13	1	no	—
989	C₂×#137	—	13	1	no	—
990	C₂×#137	—	13	1	no	—
991	C₂×#137	C₂×D₁₃	1	1	yes	characteristic, complemented
992	C₂×#137	C₂×D₁₃	1	1	yes	characteristic, complemented
993	C₂×AGL(1,ℤ/8)	—	13	1	no	—
994	C₂×AGL(1,ℤ/8)	—	13	1	no	—
995	C₂×AGL(1,ℤ/8)	—	13	1	no	—
996	C₂×AGL(1,ℤ/8)	—	13	1	no	—
997	C₂×AGL(1,ℤ/8)	—	13	1	no	—
998	C₂×AGL(1,ℤ/8)	—	13	1	no	—
999	C₂×#135	—	13	1	no	—
1000	C₂×#135	—	13	1	no	—
1001	C₂×#135	—	13	1	no	—
1002	C₂×#135	—	13	1	no	—
1003	C₂×#135	—	13	1	no	—
1004	C₂×#135	—	13	1	no	—
1005	C₂×#135	—	13	1	no	—
1006	C₂×#135	—	13	1	no	—
1007	C₂²×Q₁₆	—	13	1	no	—
1008	C₂²×SD₁₆	—	13	1	no	—
1009	C₂²×SD₁₆	—	13	1	no	—
1010	C₂²×SD₁₆	—	13	1	no	—
1011	C₂×#131	—	13	1	no	—
1012	C₂²×M₁₆	—	13	1	no	—
1013	D₄×Q₈	—	13	1	no	—
1014	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#548	—	13	1	no	—
1016	#548	—	13	1	no	—
1017	#547	—	13	1	no	—
1018	#547	—	13	1	no	—
1019	#547	—	13	1	no	—
1020	#547	—	13	1	no	—
1021	#547	—	13	1	no	—
1022	#547	—	26	1	no	—
1023	#547	—	26	1	no	—
1024	#547	—	26	1	no	—
1025	#547	—	26	1	no	—
1026	#547	C₂×D₁₃	1	1	yes	characteristic
1027	#546	—	13	1	no	—
1028	#546	—	13	1	no	—
1029	#546	—	13	1	no	—
1030	#546	—	13	1	no	—
1031	#546	—	13	1	no	—
1032	#546	—	13	1	no	—
1033	#546	—	26	1	no	—
1034	#546	—	26	1	no	—
1035	#546	—	26	1	no	—
1036	#546	—	26	1	no	—
1037	#537	—	13	1	no	—
1038	#537	—	26	1	no	—
1039	#536	—	13	1	no	—
1040	#536	—	13	1	no	—
1041	#536	—	13	1	no	—
1042	#536	—	26	1	no	—
1043	#534	—	26	1	no	—
1044	#534	—	26	1	no	—
1045	#525	—	13	1	no	—
1046	#525	—	13	1	no	—
1047	#525	—	26	1	no	—
1048	C₂×#123	—	26	1	no	—
1049	C₂×#123	—	26	1	no	—
1050	C₂×C₂²⋊Q₈	—	13	1	no	—
1051	C₂×C₂²⋊Q₈	—	26	1	no	—
1052	#520	—	13	1	no	—
1053	#518	—	13	1	no	—
1054	#497	—	13	1	no	—
1055	#497	—	13	1	no	—
1056	#497	—	13	1	no	—
1057	#497	—	13	1	no	—
1058	#495	—	13	1	no	—
1059	#495	—	13	1	no	—
1060	#494	—	13	1	no	—
1061	#494	C₂×D₁₃	1	1	yes	characteristic, complemented
1062	#470	—	13	1	no	—
1063	#470	—	13	1	no	—
1064	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
1065	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
1066	#468	—	13	1	no	—
1067	#468	—	13	1	no	—
1068	#468	—	13	1	no	—
1069	#468	—	13	1	no	—
1070	#467	—	13	1	no	—
1071	#467	—	13	1	no	—
1072	#467	—	13	1	no	—
1073	#467	—	13	1	no	—
1074	#465	—	13	1	no	—
1075	#465	—	13	1	no	—
1076	#465	—	13	1	no	—
1077	#465	—	13	1	no	—
1078	#464	—	13	1	no	—
1079	#464	—	13	1	no	—
1080	#463	—	13	1	no	—
1081	#463	—	13	1	no	—
1082	#463	—	13	1	no	—
1083	#463	—	13	1	no	—
1084	#463	—	13	1	no	—
1085	#463	—	13	1	no	—
1086	#462	—	13	1	no	—
1087	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
1088	#461	—	13	1	no	—
1089	#461	—	13	1	no	—
1090	#461	—	13	1	no	—
1091	#461	—	13	1	no	—
1092	#461	—	13	1	no	—
1093	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
1094	#452	—	13	1	no	—
1095	#452	—	13	1	no	—
1096	#452	—	13	1	no	—
1097	#452	—	13	1	no	—
1098	#452	—	13	1	no	—
1099	#452	—	13	1	no	—
1100	#452	—	13	1	no	—
1101	#452	—	13	1	no	—
1102	#452	—	13	1	no	—
1103	#452	—	13	1	no	—
1104	#452	—	13	1	no	—
1105	#452	—	13	1	no	—
1106	#452	—	13	1	no	—
1107	#452	—	13	1	no	—
1108	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1109	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1110	#451	—	13	1	no	—
1111	#451	—	13	1	no	—
1112	#451	—	13	1	no	—
1113	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1114	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1115	#450	—	13	1	no	—
1116	#450	—	13	1	no	—
1117	#450	—	13	1	no	—
1118	#449	—	13	1	no	—
1119	#449	—	13	1	no	—
1120	#449	—	13	1	no	—
1121	#449	—	13	1	no	—
1122	#448	—	13	1	no	—
1123	#447	—	13	1	no	—
1124	#447	—	13	1	no	—
1125	#447	—	13	1	no	—
1126	#442	—	13	1	no	—
1127	#442	—	13	1	no	—
1128	#440	—	13	1	no	—
1129	#440	—	13	1	no	—
1130	C₄×SD₁₆	—	13	1	no	—
1131	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1132	C₄×D₈	—	13	1	no	—
1133	C₄×D₈	—	13	1	no	—
1134	#436	—	13	1	no	—
1135	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
1136	#435	—	13	1	no	—
1137	#435	—	13	1	no	—
1138	#435	—	13	1	no	—
1139	#435	—	13	1	no	—
1140	C₈×D₄	—	13	1	no	—
1141	C₈×D₄	—	13	1	no	—
1142	#428	—	13	1	no	—
1143	#424	—	13	1	no	—
1144	#419	—	13	1	no	—
1145	#417	—	13	1	no	—
1146	#416	—	13	1	no	—
1147	#416	—	13	1	no	—
1148	C₂×#103	—	13	1	no	—
1149	C₂×#102	—	13	1	no	—
1150	#408	—	13	1	no	—
1151	C₂×C₂²⋊C₈	—	13	1	no	—
1152	#405	—	13	1	no	—
1153	C₂²×C₁₃	—	2	1	no	—
1154	C₂²×C₁₃	—	2	1	no	—
1155	C₂²×C₁₃	—	2	1	no	—
1156	C₂²×C₁₃	—	2	1	no	—
1157	C₂²×C₁₃	—	2	1	no	—
1158	C₂²×C₁₃	—	2	2	no	—
1159	C₂²×C₁₃	—	2	1	no	—
1160	C₂²×C₁₃	—	4	1	no	—
1161	C₂²×C₁₃	—	4	1	no	—
1162	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1163	C₂×D₁₃	—	2	1	no	—
1164	C₂×D₁₃	—	2	1	no	—
1165	C₂×D₁₃	—	2	1	no	—
1166	C₂×D₁₃	—	2	1	no	—
1167	C₂×D₁₃	—	2	1	no	—
1168	C₂×D₁₃	—	2	1	no	—
1169	C₂×D₁₃	—	2	1	no	—
1170	C₂×D₁₃	—	2	2	no	—
1171	C₂×D₁₃	—	2	1	no	—
1172	C₂×D₁₃	—	2	2	no	—
1173	C₂×D₁₃	—	4	1	no	—
1174	C₂×D₁₃	—	4	1	no	—
1175	C₂×D₁₃	—	4	1	no	—
1176	C₂×D₁₃	—	4	1	no	—
1177	C₂×D₁₃	—	4	1	no	—
1178	C₂×D₁₃	—	4	1	no	—
1179	C₂×D₁₃	—	4	1	no	—
1180	C₂×D₁₃	—	4	1	no	—
1181	C₂×D₁₃	—	4	1	no	—
1182	C₂×D₁₃	—	4	1	no	—
1183	C₂×D₁₃	—	8	2	no	—
1184	C₂×D₁₃	—	8	4	no	—
1185	C₂×D₁₃	—	8	4	no	—
1186	C₂×D₁₃	—	16	2	no	—
1187	C₂×D₁₃	—	16	2	no	—
1188	C₂×D₁₃	D₄²	1	2	yes	—
1189	C₄×C₁₃	—	2	1	no	—
1190	C₄×C₁₃	—	2	1	no	—
1191	C₄×C₁₃	—	2	1	no	—
1192	C₄×C₁₃	—	2	2	no	—
1193	C₄×C₁₃	—	2	1	no	—
1194	C₄×C₁₃	—	4	1	no	—
1195	C₄×C₁₃	—	4	1	no	—
1196	C₄×C₁₃	—	4	1	no	—
1197	C₄×C₁₃	—	4	1	no	—
1198	C₄×C₁₃	—	4	1	no	—
1199	C₄×C₁₃	—	4	1	no	—
1200	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
1201	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1202	Dic₁₃	—	2	1	no	—
1203	Dic₁₃	—	2	1	no	—
1204	Dic₁₃	—	2	1	no	—
1205	Dic₁₃	—	2	1	no	—
1206	Dic₁₃	—	4	1	no	—
1207	Dic₁₃	—	4	1	no	—
1208	Dic₁₃	—	4	1	no	—
1209	Dic₁₃	—	4	1	no	—
1210	Dic₁₃	D₄²	1	2	yes	—
1211	2₋¹⁺⁴	—	26	4	no	—
1212	2₋¹⁺⁴	—	52	2	no	—
1213	H(5,𝔽₂)	—	26	4	no	—
1214	H(5,𝔽₂)	—	52	2	no	—
1215	C₂×#41	—	13	1	no	—
1216	C₂×#41	—	13	1	no	—
1217	C₂×#41	—	13	1	no	—
1218	C₂×#41	—	13	1	no	—
1219	C₂×#41	—	13	1	no	—
1220	C₂×#41	—	13	1	no	—
1221	C₂×#41	—	13	1	no	—
1222	C₂×#41	—	13	1	no	—
1223	C₂×#41	—	13	1	no	—
1224	C₂×#41	—	13	1	no	—
1225	C₂×#41	—	13	1	no	—
1226	C₂×#41	—	13	1	no	—
1227	C₂×#41	—	26	1	no	—
1228	C₂×#41	—	26	1	no	—
1229	C₂×#41	—	26	1	no	—
1230	C₂×#41	—	26	1	no	—
1231	C₂×#41	—	26	1	no	—
1232	C₂×#41	—	26	1	no	—
1233	C₂×#41	—	26	1	no	—
1234	C₂×#41	—	26	1	no	—
1235	C₂×#41	—	26	4	no	—
1236	C₂×#41	—	26	4	no	—
1237	C₂×#41	—	52	2	no	—
1238	C₂×#41	—	52	2	no	—
1239	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1240	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1241	C₂²×Q₈	—	13	1	no	—
1242	C₂²×Q₈	—	13	1	no	—
1243	C₂²×Q₈	—	13	1	no	—
1244	C₂²×Q₈	—	26	1	no	—
1245	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1246	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1247	C₂²×D₄	—	13	1	no	—
1248	C₂²×D₄	—	13	1	no	—
1249	C₂²×D₄	—	13	1	no	—
1250	C₂²×D₄	—	13	1	no	—
1251	C₂²×D₄	—	26	1	no	—
1252	C₂²×D₄	—	26	1	no	—
1253	C₂²×D₄	—	26	1	no	—
1254	C₂²×D₄	—	26	1	no	—
1255	C₂²×D₄	—	26	1	no	—
1256	C₂³×C₄	—	13	1	no	—
1257	C₂³×C₄	—	26	1	no	—
1258	C₂³×C₄	—	26	1	no	—
1259	#137	—	2	4	no	—
1260	#137	—	2	4	no	—
1261	#137	—	26	4	no	—
1262	#137	—	26	4	no	—
1263	#137	—	26	4	no	—
1264	#137	—	26	4	no	—
1265	#137	—	26	4	no	—
1266	AGL(1,ℤ/8)	—	13	8	no	—
1267	AGL(1,ℤ/8)	—	26	4	no	—
1268	AGL(1,ℤ/8)	—	26	4	no	—
1269	AGL(1,ℤ/8)	—	26	4	no	—
1270	AGL(1,ℤ/8)	—	26	4	no	—
1271	AGL(1,ℤ/8)	—	26	4	no	—
1272	#135	—	26	4	no	—
1273	#135	—	26	4	no	—
1274	#135	—	26	4	no	—
1275	#135	—	26	4	no	—
1276	#135	—	26	4	no	—
1277	#135	—	26	4	no	—
1278	#135	—	26	4	no	—
1279	#135	—	52	2	no	—
1280	C₂×Q₁₆	—	13	1	no	—
1281	C₂×Q₁₆	—	13	1	no	—
1282	C₂×Q₁₆	—	13	1	no	—
1283	C₂×Q₁₆	—	13	1	no	—
1284	C₂×Q₁₆	—	13	1	no	—
1285	C₂×Q₁₆	—	13	1	no	—
1286	C₂×Q₁₆	—	52	2	no	—
1287	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1288	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1289	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1290	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1291	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1292	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1293	C₂×SD₁₆	—	13	1	no	—
1294	C₂×SD₁₆	—	13	1	no	—
1295	C₂×SD₁₆	—	13	1	no	—
1296	C₂×SD₁₆	—	13	1	no	—
1297	C₂×SD₁₆	—	13	1	no	—
1298	C₂×SD₁₆	—	13	1	no	—
1299	C₂×SD₁₆	—	13	1	no	—
1300	C₂×SD₁₆	—	13	1	no	—
1301	C₂×SD₁₆	—	13	1	no	—
1302	C₂×SD₁₆	—	13	1	no	—
1303	C₂×SD₁₆	—	13	1	no	—
1304	C₂×SD₁₆	—	13	1	no	—
1305	C₂×SD₁₆	—	13	1	no	—
1306	C₂×SD₁₆	—	13	1	no	—
1307	C₂×SD₁₆	—	13	1	no	—
1308	C₂×SD₁₆	—	26	4	no	—
1309	C₂×SD₁₆	—	26	4	no	—
1310	C₂×SD₁₆	—	26	4	no	—
1311	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1312	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1313	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1314	C₂×D₈	—	13	1	no	—
1315	C₂×D₈	—	13	1	no	—
1316	C₂×D₈	—	13	1	no	—
1317	C₂×D₈	—	13	1	no	—
1318	C₂×D₈	—	13	1	no	—
1319	C₂×D₈	—	13	1	no	—
1320	#131	—	26	4	no	—
1321	C₂×M₁₆	—	13	1	no	—
1322	C₂×M₁₆	—	13	1	no	—
1323	C₂×M₁₆	—	13	1	no	—
1324	C₂×M₁₆	—	13	1	no	—
1325	C₂×M₁₆	—	26	4	no	—
1326	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1327	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1328	C₂²×C₈	—	13	1	no	—
1329	C₂²×C₈	—	13	1	no	—
1330	C₂²×C₈	—	13	1	no	—
1331	C₂²×C₈	—	13	1	no	—
1332	C₂²×C₈	—	13	1	no	—
1333	C₂²×C₈	—	13	1	no	—
1334	C₄⋊Q₈	—	2	1	no	—
1335	C₄⋊Q₈	—	13	1	no	—
1336	C₄⋊Q₈	—	13	1	no	—
1337	C₄⋊Q₈	—	26	1	no	—
1338	C₄⋊Q₈	—	26	1	no	—
1339	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1340	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1341	#124	—	13	1	no	—
1342	#124	—	13	1	no	—
1343	#124	—	13	1	no	—
1344	#124	—	13	1	no	—
1345	#124	—	26	1	no	—
1346	#124	—	26	1	no	—
1347	#124	—	26	1	no	—
1348	#123	—	2	1	no	—
1349	#123	—	2	1	no	—
1350	#123	—	13	1	no	—
1351	#123	—	13	1	no	—
1352	#123	—	26	1	no	—
1353	#123	—	26	1	no	—
1354	#123	—	26	1	no	—
1355	#123	—	26	1	no	—
1356	#123	—	26	1	no	—
1357	#123	—	26	1	no	—
1358	#123	—	26	1	no	—
1359	#123	—	26	1	no	—
1360	#123	—	26	1	no	—
1361	#123	—	26	1	no	—
1362	#123	—	26	1	no	—
1363	#123	—	26	1	no	—
1364	#123	—	26	1	no	—
1365	#123	—	26	1	no	—
1366	#123	—	26	1	no	—
1367	#123	—	26	1	no	—
1368	#123	—	26	1	no	—
1369	#123	—	26	1	no	—
1370	#123	—	26	1	no	—
1371	#123	—	26	1	no	—
1372	#123	—	26	1	no	—
1373	#123	—	26	1	no	—
1374	#123	—	26	1	no	—
1375	C₂²⋊Q₈	—	2	1	no	—
1376	C₂²⋊Q₈	—	2	1	no	—
1377	C₂²⋊Q₈	—	13	1	no	—
1378	C₂²⋊Q₈	—	13	1	no	—
1379	C₂²⋊Q₈	—	13	1	no	—
1380	C₂²⋊Q₈	—	13	1	no	—
1381	C₂²⋊Q₈	—	13	1	no	—
1382	C₂²⋊Q₈	—	13	1	no	—
1383	C₂²⋊Q₈	—	13	1	no	—
1384	C₂²⋊Q₈	—	13	1	no	—
1385	C₂²⋊Q₈	—	13	1	no	—
1386	C₂²⋊Q₈	—	13	1	no	—
1387	C₂²⋊Q₈	—	26	1	no	—
1388	C₂²⋊Q₈	—	26	1	no	—
1389	C₂²⋊Q₈	—	26	1	no	—
1390	C₂²⋊Q₈	—	26	1	no	—
1391	C₂²⋊Q₈	—	26	1	no	—
1392	C₂²⋊Q₈	—	26	1	no	—
1393	C₂²⋊Q₈	—	26	1	no	—
1394	C₂²⋊Q₈	—	26	1	no	—
1395	C₂²⋊Q₈	—	26	1	no	—
1396	C₂²⋊Q₈	—	26	1	no	—
1397	C₂²⋊Q₈	—	26	1	no	—
1398	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1399	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1400	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1401	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1402	#121	—	2	1	no	—
1403	#121	—	13	1	no	—
1404	#121	—	13	1	no	—
1405	#121	—	13	1	no	—
1406	#121	—	13	1	no	—
1407	#121	—	13	1	no	—
1408	#121	—	13	1	no	—
1409	#121	—	26	1	no	—
1410	#121	—	26	1	no	—
1411	#121	—	26	1	no	—
1412	#121	—	26	1	no	—
1413	#121	—	26	1	no	—
1414	#121	—	26	1	no	—
1415	#121	—	26	1	no	—
1416	#121	—	26	1	no	—
1417	#121	—	26	1	no	—
1418	#121	—	26	1	no	—
1419	#121	—	26	1	no	—
1420	#121	—	26	1	no	—
1421	#121	—	26	1	no	—
1422	#121	—	26	1	no	—
1423	#121	—	26	1	no	—
1424	#121	—	26	1	no	—
1425	#120	—	13	1	no	—
1426	#120	—	13	1	no	—
1427	#120	—	26	1	no	—
1428	#120	—	26	1	no	—
1429	#120	—	26	1	no	—
1430	#120	—	26	1	no	—
1431	#120	—	26	1	no	—
1432	#120	—	26	1	no	—
1433	#120	—	26	1	no	—
1434	C₄×Q₈	—	13	1	no	—
1435	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1436	C₄×D₄	—	2	1	no	—
1437	C₄×D₄	—	13	1	no	—
1438	C₄×D₄	—	13	1	no	—
1439	C₄×D₄	—	13	1	no	—
1440	C₄×D₄	—	13	1	no	—
1441	C₄×D₄	—	13	1	no	—
1442	C₄×D₄	—	13	1	no	—
1443	C₄×D₄	—	13	1	no	—
1444	C₄×D₄	—	13	1	no	—
1445	C₄×D₄	—	26	1	no	—
1446	C₄×D₄	—	26	1	no	—
1447	C₄×D₄	—	26	1	no	—
1448	C₄×D₄	—	26	1	no	—
1449	C₄×D₄	—	26	1	no	—
1450	C₄×D₄	—	26	1	no	—
1451	C₄×D₄	—	26	1	no	—
1452	C₄×D₄	—	26	1	no	—
1453	C₄×D₄	—	26	1	no	—
1454	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1455	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1456	#117	—	13	1	no	—
1457	#117	—	13	1	no	—
1458	#117	—	26	1	no	—
1459	C₂×C₄⋊C₄	—	2	1	no	—
1460	C₂×C₄⋊C₄	—	13	1	no	—
1461	C₂×C₄⋊C₄	—	26	1	no	—
1462	C₂×C₄⋊C₄	—	26	1	no	—
1463	C₂×C₄⋊C₄	—	26	1	no	—
1464	C₂×C₄⋊C₄	—	26	1	no	—
1465	C₂×C₄⋊C₄	—	26	1	no	—
1466	C₂×C₄⋊C₄	—	26	1	no	—
1467	C₂×C₄⋊C₄	—	26	1	no	—
1468	C₂×C₂²⋊C₄	—	26	1	no	—
1469	C₂×C₂²⋊C₄	—	26	1	no	—
1470	C₂×C₂²⋊C₄	—	26	1	no	—
1471	C₂×C₂²⋊C₄	—	26	1	no	—
1472	C₂×C₂²⋊C₄	—	26	1	no	—
1473	C₂×C₂²⋊C₄	—	26	1	no	—
1474	C₂×C₂²⋊C₄	—	26	1	no	—
1475	C₂×C₂²⋊C₄	—	26	1	no	—
1476	C₂×C₂²⋊C₄	—	26	1	no	—
1477	#107	—	13	1	no	—
1478	#107	—	13	1	no	—
1479	#106	—	13	1	no	—
1480	#106	C₂²×D₁₃	1	1	yes	characteristic
1481	C₄⋊C₈	—	13	1	no	—
1482	C₄⋊C₈	—	13	1	no	—
1483	C₄⋊C₈	—	13	1	no	—
1484	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1485	#103	—	13	1	no	—
1486	#103	—	13	1	no	—
1487	#103	—	13	1	no	—
1488	#103	—	13	1	no	—
1489	#103	—	13	1	no	—
1490	#103	—	13	1	no	—
1491	#103	—	13	1	no	—
1492	#103	—	13	1	no	—
1493	#103	—	13	1	no	—
1494	#103	C₂²×D₁₃	1	1	yes	characteristic
1495	#103	C₂²×D₁₃	1	1	yes	characteristic
1496	#103	C₂²×D₁₃	1	1	yes	characteristic
1497	#103	C₂²×D₁₃	1	1	yes	characteristic
1498	#103	C₂²×D₁₃	1	1	yes	characteristic
1499	#102	—	13	1	no	—
1500	#102	—	13	1	no	—
1501	#102	—	13	1	no	—
1502	#102	—	13	1	no	—
1503	#102	—	13	1	no	—
1504	#102	—	13	1	no	—
1505	#102	—	13	1	no	—
1506	#102	—	13	1	no	—
1507	#102	—	13	1	no	—
1508	#102	C₂²×D₁₃	1	1	yes	characteristic
1509	C₂²⋊C₈	—	13	1	no	—
1510	C₂²⋊C₈	—	13	1	no	—
1511	C₂²⋊C₈	—	13	1	no	—
1512	C₂²⋊C₈	—	13	1	no	—
1513	C₂²⋊C₈	—	13	1	no	—
1514	C₂²⋊C₈	—	13	1	no	—
1515	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1516	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1517	#97	—	13	1	no	—
1518	#97	—	13	1	no	—
1519	C₄×C₈	—	13	1	no	—
1520	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1521	C₂×C₁₃	—	4	1	no	—
1522	C₂×C₁₃	—	4	2	no	—
1523	C₂×C₁₃	—	4	1	no	—
1524	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1525	C₂×C₁₃	#3584	1	1	yes	characteristic
1526	C₂×C₁₃	#3586	1	1	yes	characteristic
1527	D₁₃	—	2	2	no	—
1528	D₁₃	—	4	1	no	—
1529	D₁₃	—	4	1	no	—
1530	D₁₃	—	4	2	no	—
1531	D₁₃	—	4	2	no	—
1532	D₁₃	—	8	1	no	—
1533	D₁₃	—	8	1	no	—
1534	C₂⁴	—	13	1	no	—
1535	C₂⁴	—	26	1	no	—
1536	C₂⁴	—	26	1	no	—
1537	C₂⁴	—	26	1	no	—
1538	C₂⁴	—	26	1	no	—
1539	#41	—	2	2	no	—
1540	#41	—	2	2	no	—
1541	#41	—	4	1	no	—
1542	#41	—	4	1	no	—
1543	#41	—	13	4	no	—
1544	#41	—	26	2	no	—
1545	#41	—	26	2	no	—
1546	#41	—	26	2	no	—
1547	#41	—	26	2	no	—
1548	#41	—	26	2	no	—
1549	#41	—	26	2	no	—
1550	#41	—	26	2	no	—
1551	#41	—	26	2	no	—
1552	#41	—	26	2	no	—
1553	#41	—	26	2	no	—
1554	#41	—	26	2	no	—
1555	#41	—	26	2	no	—
1556	#41	—	26	2	no	—
1557	#41	—	26	2	no	—
1558	#41	—	26	2	no	—
1559	#41	—	52	1	no	—
1560	#41	—	52	1	no	—
1561	#41	—	52	4	no	—
1562	#41	—	52	4	no	—
1563	#41	—	52	4	no	—
1564	#41	—	52	4	no	—
1565	#41	—	52	4	no	—
1566	#41	—	52	1	no	—
1567	#41	—	52	4	no	—
1568	#41	—	52	1	no	—
1569	#41	—	52	1	no	—
1570	#41	—	52	1	no	—
1571	#41	—	52	1	no	—
1572	#41	—	52	1	no	—
1573	#41	—	52	4	no	—
1574	#41	—	52	4	no	—
1575	C₂×Q₈	—	2	1	no	—
1576	C₂×Q₈	—	2	1	no	—
1577	C₂×Q₈	—	2	2	no	—
1578	C₂×Q₈	—	2	2	no	—
1579	C₂×Q₈	—	4	1	no	—
1580	C₂×Q₈	—	4	1	no	—
1581	C₂×Q₈	—	13	1	no	—
1582	C₂×Q₈	—	13	1	no	—
1583	C₂×Q₈	—	13	1	no	—
1584	C₂×Q₈	—	26	1	no	—
1585	C₂×Q₈	—	26	1	no	—
1586	C₂×Q₈	—	26	1	no	—
1587	C₂×Q₈	—	26	2	no	—
1588	C₂×Q₈	—	26	2	no	—
1589	C₂×Q₈	—	26	2	no	—
1590	C₂×Q₈	—	26	2	no	—
1591	C₂×Q₈	—	26	2	no	—
1592	C₂×Q₈	—	52	1	no	—
1593	C₂×Q₈	—	52	4	no	—
1594	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1595	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1596	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1597	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1598	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1599	C₂×D₄	—	2	1	no	—
1600	C₂×D₄	—	2	1	no	—
1601	C₂×D₄	—	13	4	no	—
1602	C₂×D₄	—	13	1	no	—
1603	C₂×D₄	—	13	1	no	—
1604	C₂×D₄	—	13	1	no	—
1605	C₂×D₄	—	13	1	no	—
1606	C₂×D₄	—	13	1	no	—
1607	C₂×D₄	—	13	1	no	—
1608	C₂×D₄	—	13	1	no	—
1609	C₂×D₄	—	13	1	no	—
1610	C₂×D₄	—	13	1	no	—
1611	C₂×D₄	—	13	1	no	—
1612	C₂×D₄	—	26	2	no	—
1613	C₂×D₄	—	26	2	no	—
1614	C₂×D₄	—	26	1	no	—
1615	C₂×D₄	—	26	1	no	—
1616	C₂×D₄	—	26	1	no	—
1617	C₂×D₄	—	26	1	no	—
1618	C₂×D₄	—	26	1	no	—
1619	C₂×D₄	—	26	1	no	—
1620	C₂×D₄	—	26	1	no	—
1621	C₂×D₄	—	26	1	no	—
1622	C₂×D₄	—	26	1	no	—
1623	C₂×D₄	—	26	1	no	—
1624	C₂×D₄	—	26	2	no	—
1625	C₂×D₄	—	26	1	no	—
1626	C₂×D₄	—	26	1	no	—
1627	C₂×D₄	—	26	2	no	—
1628	C₂×D₄	—	26	1	no	—
1629	C₂×D₄	—	26	1	no	—
1630	C₂×D₄	—	26	1	no	—
1631	C₂×D₄	—	26	1	no	—
1632	C₂×D₄	—	26	1	no	—
1633	C₂×D₄	—	26	1	no	—
1634	C₂×D₄	—	26	1	no	—
1635	C₂×D₄	—	52	1	no	—
1636	C₂×D₄	—	52	1	no	—
1637	C₂×D₄	—	52	4	no	—
1638	C₂×D₄	—	52	4	no	—
1639	C₂×D₄	—	52	1	no	—
1640	C₂×D₄	—	52	4	no	—
1641	C₂×D₄	—	52	4	no	—
1642	C₂×D₄	—	52	4	no	—
1643	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1644	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1645	C₂²×C₄	—	2	1	no	—
1646	C₂²×C₄	—	2	1	no	—
1647	C₂²×C₄	—	2	1	no	—
1648	C₂²×C₄	—	2	1	no	—
1649	C₂²×C₄	—	2	1	no	—
1650	C₂²×C₄	—	13	1	no	—
1651	C₂²×C₄	—	13	1	no	—
1652	C₂²×C₄	—	13	1	no	—
1653	C₂²×C₄	—	13	1	no	—
1654	C₂²×C₄	—	13	1	no	—
1655	C₂²×C₄	—	13	1	no	—
1656	C₂²×C₄	—	26	1	no	—
1657	C₂²×C₄	—	26	2	no	—
1658	C₂²×C₄	—	26	2	no	—
1659	C₂²×C₄	—	26	1	no	—
1660	C₂²×C₄	—	26	1	no	—
1661	C₂²×C₄	—	26	1	no	—
1662	C₂²×C₄	—	26	1	no	—
1663	C₂²×C₄	—	26	1	no	—
1664	C₂²×C₄	—	26	1	no	—
1665	C₂²×C₄	—	26	1	no	—
1666	C₂²×C₄	—	26	1	no	—
1667	C₂²×C₄	—	26	1	no	—
1668	C₂²×C₄	—	26	1	no	—
1669	C₂²×C₄	—	26	1	no	—
1670	C₂²×C₄	—	26	1	no	—
1671	C₂²×C₄	—	26	1	no	—
1672	C₂²×C₄	—	26	1	no	—
1673	C₂²×C₄	—	26	1	no	—
1674	C₂²×C₄	—	26	1	no	—
1675	C₂²×C₄	—	26	1	no	—
1676	C₂²×C₄	—	26	1	no	—
1677	C₂²×C₄	—	26	1	no	—
1678	C₂²×C₄	—	52	4	no	—
1679	C₂²×C₄	—	52	4	no	—
1680	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1681	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1682	Q₁₆	—	2	2	no	—
1683	Q₁₆	—	2	2	no	—
1684	Q₁₆	—	2	2	no	—
1685	Q₁₆	—	2	2	no	—
1686	Q₁₆	—	4	1	no	—
1687	Q₁₆	—	4	1	no	—
1688	Q₁₆	—	26	2	no	—
1689	Q₁₆	—	26	2	no	—
1690	Q₁₆	—	26	2	no	—
1691	Q₁₆	—	52	1	no	—
1692	Q₁₆	—	52	1	no	—
1693	Q₁₆	—	52	1	no	—
1694	SD₁₆	—	2	2	no	—
1695	SD₁₆	—	2	2	no	—
1696	SD₁₆	—	13	4	no	—
1697	SD₁₆	—	26	2	no	—
1698	SD₁₆	—	26	2	no	—
1699	SD₁₆	—	26	2	no	—
1700	SD₁₆	—	26	2	no	—
1701	SD₁₆	—	26	2	no	—
1702	SD₁₆	—	26	2	no	—
1703	SD₁₆	—	26	2	no	—
1704	SD₁₆	—	26	2	no	—
1705	SD₁₆	—	26	2	no	—
1706	SD₁₆	—	26	2	no	—
1707	SD₁₆	—	26	2	no	—
1708	SD₁₆	—	26	2	no	—
1709	SD₁₆	—	52	1	no	—
1710	SD₁₆	—	52	1	no	—
1711	SD₁₆	D₄×D₁₃	1	4	yes	—
1712	D₈	—	13	4	no	—
1713	D₈	—	13	4	no	—
1714	D₈	—	26	2	no	—
1715	D₈	—	26	2	no	—
1716	D₈	—	26	2	no	—
1717	D₈	—	52	1	no	—
1718	M₁₆	—	2	2	no	—
1719	M₁₆	—	2	2	no	—
1720	M₁₆	—	13	4	no	—
1721	M₁₆	—	26	2	no	—
1722	M₁₆	—	26	2	no	—
1723	M₁₆	—	26	2	no	—
1724	C₂×C₈	—	13	1	no	—
1725	C₂×C₈	—	13	1	no	—
1726	C₂×C₈	—	13	1	no	—
1727	C₂×C₈	—	13	1	no	—
1728	C₂×C₈	—	26	2	no	—
1729	C₂×C₈	—	26	2	no	—
1730	C₂×C₈	—	26	2	no	—
1731	C₂×C₈	—	26	2	no	—
1732	C₂×C₈	—	26	2	no	—
1733	C₂×C₈	—	26	2	no	—
1734	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1735	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1736	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1737	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1738	C₄⋊C₄	—	2	1	no	—
1739	C₄⋊C₄	—	2	1	no	—
1740	C₄⋊C₄	—	2	1	no	—
1741	C₄⋊C₄	—	2	1	no	—
1742	C₄⋊C₄	—	2	1	no	—
1743	C₄⋊C₄	—	2	1	no	—
1744	C₄⋊C₄	—	2	1	no	—
1745	C₄⋊C₄	—	2	1	no	—
1746	C₄⋊C₄	—	2	1	no	—
1747	C₄⋊C₄	—	13	1	no	—
1748	C₄⋊C₄	—	13	1	no	—
1749	C₄⋊C₄	—	13	1	no	—
1750	C₄⋊C₄	—	13	1	no	—
1751	C₄⋊C₄	—	13	1	no	—
1752	C₄⋊C₄	—	13	1	no	—
1753	C₄⋊C₄	—	13	1	no	—
1754	C₄⋊C₄	—	26	1	no	—
1755	C₄⋊C₄	—	26	1	no	—
1756	C₄⋊C₄	—	26	1	no	—
1757	C₄⋊C₄	—	26	1	no	—
1758	C₄⋊C₄	—	26	1	no	—
1759	C₄⋊C₄	—	26	1	no	—
1760	C₄⋊C₄	—	26	1	no	—
1761	C₄⋊C₄	—	26	1	no	—
1762	C₄⋊C₄	—	26	1	no	—
1763	C₄⋊C₄	—	26	1	no	—
1764	C₄⋊C₄	—	26	1	no	—
1765	C₄⋊C₄	—	26	1	no	—
1766	C₄⋊C₄	—	26	1	no	—
1767	C₄⋊C₄	—	26	1	no	—
1768	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1769	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1770	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1771	C₂²⋊C₄	—	2	1	no	—
1772	C₂²⋊C₄	—	2	1	no	—
1773	C₂²⋊C₄	—	2	1	no	—
1774	C₂²⋊C₄	—	2	1	no	—
1775	C₂²⋊C₄	—	2	1	no	—
1776	C₂²⋊C₄	—	13	1	no	—
1777	C₂²⋊C₄	—	13	1	no	—
1778	C₂²⋊C₄	—	13	1	no	—
1779	C₂²⋊C₄	—	13	1	no	—
1780	C₂²⋊C₄	—	13	1	no	—
1781	C₂²⋊C₄	—	13	1	no	—
1782	C₂²⋊C₄	—	13	1	no	—
1783	C₂²⋊C₄	—	13	1	no	—
1784	C₂²⋊C₄	—	26	1	no	—
1785	C₂²⋊C₄	—	26	1	no	—
1786	C₂²⋊C₄	—	26	1	no	—
1787	C₂²⋊C₄	—	26	1	no	—
1788	C₂²⋊C₄	—	26	1	no	—
1789	C₂²⋊C₄	—	26	1	no	—
1790	C₂²⋊C₄	—	26	1	no	—
1791	C₂²⋊C₄	—	26	1	no	—
1792	C₂²⋊C₄	—	26	1	no	—
1793	C₂²⋊C₄	—	26	1	no	—
1794	C₂²⋊C₄	—	26	1	no	—
1795	C₂²⋊C₄	—	26	1	no	—
1796	C₂²⋊C₄	—	26	1	no	—
1797	C₂²⋊C₄	—	26	1	no	—
1798	C₂²⋊C₄	—	26	1	no	—
1799	C₂²⋊C₄	—	26	1	no	—
1800	C₂²⋊C₄	—	26	1	no	—
1801	C₂²⋊C₄	—	26	1	no	—
1802	C₂²⋊C₄	—	26	1	no	—
1803	C₂²⋊C₄	—	26	1	no	—
1804	C₂²⋊C₄	—	26	1	no	—
1805	C₂²⋊C₄	—	26	1	no	—
1806	C₂²⋊C₄	—	26	1	no	—
1807	C₂²⋊C₄	—	26	1	no	—
1808	C₂²⋊C₄	—	26	1	no	—
1809	C₂²⋊C₄	—	26	1	no	—
1810	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1811	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1812	C₄²	—	2	1	no	—
1813	C₄²	—	13	1	no	—
1814	C₄²	—	26	1	no	—
1815	C₄²	—	26	1	no	—
1816	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1817	C₁₃	#61073	1	1	yes	characteristic, complemented, Sylow
1818	C₂³	—	2	1	no	—
1819	C₂³	—	13	1	no	—
1820	C₂³	—	13	1	no	—
1821	C₂³	—	13	1	no	—
1822	C₂³	—	26	2	no	—
1823	C₂³	—	26	4	no	—
1824	C₂³	—	26	1	no	—
1825	C₂³	—	26	1	no	—
1826	C₂³	—	26	1	no	—
1827	C₂³	—	26	1	no	—
1828	C₂³	—	52	1	no	—
1829	C₂³	—	52	1	no	—
1830	C₂³	—	52	2	no	—
1831	C₂³	—	52	2	no	—
1832	C₂³	—	52	2	no	—
1833	C₂³	—	52	2	no	—
1834	C₂³	—	104	1	no	—
1835	C₂³	—	104	1	no	—
1836	C₂³	—	104	1	no	—
1837	C₂³	—	104	1	no	—
1838	C₂³	—	104	1	no	—
1839	C₂³	—	104	1	no	—
1840	C₂³	—	104	1	no	—
1841	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1842	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1843	Q₈	—	2	1	no	—
1844	Q₈	—	2	1	no	—
1845	Q₈	—	2	1	no	—
1846	Q₈	—	2	1	no	—
1847	Q₈	—	2	1	no	—
1848	Q₈	—	2	1	no	—
1849	Q₈	—	2	1	no	—
1850	Q₈	—	2	1	no	—
1851	Q₈	—	2	1	no	—
1852	Q₈	—	4	2	no	—
1853	Q₈	—	4	2	no	—
1854	Q₈	—	26	2	no	—
1855	Q₈	—	26	1	no	—
1856	Q₈	—	26	1	no	—
1857	Q₈	—	26	1	no	—
1858	Q₈	—	26	1	no	—
1859	Q₈	—	52	2	no	—
1860	Q₈	—	52	2	no	—
1861	Q₈	—	52	2	no	—
1862	Q₈	C₂×D₄×D₁₃	1	2	yes	—
1863	D₄	—	2	1	no	—
1864	D₄	—	4	1	no	—
1865	D₄	—	4	2	no	—
1866	D₄	—	4	2	no	—
1867	D₄	—	13	2	no	—
1868	D₄	—	13	2	no	—
1869	D₄	—	26	2	no	—
1870	D₄	—	26	4	no	—
1871	D₄	—	26	4	no	—
1872	D₄	—	26	2	no	—
1873	D₄	—	26	2	no	—
1874	D₄	—	26	1	no	—
1875	D₄	—	26	1	no	—
1876	D₄	—	26	1	no	—
1877	D₄	—	26	1	no	—
1878	D₄	—	26	1	no	—
1879	D₄	—	26	1	no	—
1880	D₄	—	52	1	no	—
1881	D₄	—	52	2	no	—
1882	D₄	—	52	2	no	—
1883	D₄	—	52	2	no	—
1884	D₄	—	52	2	no	—
1885	D₄	—	52	2	no	—
1886	D₄	—	52	2	no	—
1887	D₄	—	52	2	no	—
1888	D₄	—	52	2	no	—
1889	D₄	—	52	2	no	—
1890	D₄	—	52	1	no	—
1891	D₄	—	52	1	no	—
1892	D₄	—	52	2	no	—
1893	D₄	—	52	2	no	—
1894	D₄	—	52	2	no	—
1895	D₄	—	52	2	no	—
1896	D₄	—	104	1	no	—
1897	D₄	—	104	1	no	—
1898	D₄	—	104	1	no	—
1899	D₄	—	104	1	no	—
1900	D₄	C₂×D₄×D₁₃	1	2	yes	—
1901	C₂×C₄	—	2	1	no	—
1902	C₂×C₄	—	2	1	no	—
1903	C₂×C₄	—	2	1	no	—
1904	C₂×C₄	—	2	1	no	—
1905	C₂×C₄	—	2	1	no	—
1906	C₂×C₄	—	2	1	no	—
1907	C₂×C₄	—	2	1	no	—
1908	C₂×C₄	—	2	1	no	—
1909	C₂×C₄	—	2	1	no	—
1910	C₂×C₄	—	2	1	no	—
1911	C₂×C₄	—	2	1	no	—
1912	C₂×C₄	—	4	2	no	—
1913	C₂×C₄	—	4	2	no	—
1914	C₂×C₄	—	4	2	no	—
1915	C₂×C₄	—	4	2	no	—
1916	C₂×C₄	—	8	1	no	—
1917	C₂×C₄	—	13	1	no	—
1918	C₂×C₄	—	13	2	no	—
1919	C₂×C₄	—	13	2	no	—
1920	C₂×C₄	—	13	1	no	—
1921	C₂×C₄	—	13	1	no	—
1922	C₂×C₄	—	13	1	no	—
1923	C₂×C₄	—	13	1	no	—
1924	C₂×C₄	—	26	2	no	—
1925	C₂×C₄	—	26	4	no	—
1926	C₂×C₄	—	26	2	no	—
1927	C₂×C₄	—	26	2	no	—
1928	C₂×C₄	—	26	1	no	—
1929	C₂×C₄	—	26	1	no	—
1930	C₂×C₄	—	26	1	no	—
1931	C₂×C₄	—	26	1	no	—
1932	C₂×C₄	—	26	1	no	—
1933	C₂×C₄	—	26	1	no	—
1934	C₂×C₄	—	26	1	no	—
1935	C₂×C₄	—	26	1	no	—
1936	C₂×C₄	—	52	2	no	—
1937	C₂×C₄	—	52	2	no	—
1938	C₂×C₄	—	52	2	no	—
1939	C₂×C₄	—	52	2	no	—
1940	C₂×C₄	—	52	2	no	—
1941	C₂×C₄	—	52	2	no	—
1942	C₂×C₄	—	52	2	no	—
1943	C₂×C₄	—	52	2	no	—
1944	C₂×C₄	—	52	2	no	—
1945	C₂×C₄	—	52	2	no	—
1946	C₂×C₄	—	52	2	no	—
1947	C₂×C₄	—	52	2	no	—
1948	C₂×C₄	—	52	2	no	—
1949	C₂×C₄	—	104	1	no	—
1950	C₂×C₄	—	104	1	no	—
1951	C₂×C₄	—	104	1	no	—
1952	C₂×C₄	—	104	1	no	—
1953	C₂×C₄	—	104	1	no	—
1954	C₂×C₄	—	104	1	no	—
1955	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1956	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1957	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1958	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1959	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1960	C₈	—	2	1	no	—
1961	C₈	—	2	1	no	—
1962	C₈	—	2	1	no	—
1963	C₈	—	13	2	no	—
1964	C₈	—	26	1	no	—
1965	C₈	—	26	1	no	—
1966	C₈	—	26	1	no	—
1967	C₈	C₂×D₄×D₁₃	1	2	yes	—
1968	C₂²	—	2	1	no	—
1969	C₂²	—	2	1	no	—
1970	C₂²	—	2	2	no	—
1971	C₂²	—	2	1	no	—
1972	C₂²	—	2	1	no	—
1973	C₂²	—	2	1	no	—
1974	C₂²	—	2	1	no	—
1975	C₂²	—	4	1	no	—
1976	C₂²	—	4	1	no	—
1977	C₂²	—	13	2	no	—
1978	C₂²	—	26	1	no	—
1979	C₂²	—	26	1	no	—
1980	C₂²	—	26	1	no	—
1981	C₂²	—	26	2	no	—
1982	C₂²	—	26	1	no	—
1983	C₂²	—	26	2	no	—
1984	C₂²	—	26	1	no	—
1985	C₂²	—	26	1	no	—
1986	C₂²	—	26	1	no	—
1987	C₂²	—	26	1	no	—
1988	C₂²	—	52	1	no	—
1989	C₂²	—	52	1	no	—
1990	C₂²	—	52	1	no	—
1991	C₂²	—	52	1	no	—
1992	C₂²	—	52	1	no	—
1993	C₂²	—	52	1	no	—
1994	C₂²	—	52	1	no	—
1995	C₂²	—	52	1	no	—
1996	C₂²	—	52	1	no	—
1997	C₂²	—	52	1	no	—
1998	C₂²	—	104	2	no	—
1999	C₂²	—	104	4	no	—
2000	C₂²	—	104	4	no	—
2001	C₂²	—	208	2	no	—
2002	C₂²	—	208	2	no	—
2003	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
2004	C₄	—	2	1	no	—
2005	C₄	—	2	1	no	—
2006	C₄	—	2	2	no	—
2007	C₄	—	2	1	no	—
2008	C₄	—	2	1	no	—
2009	C₄	—	4	1	no	—
2010	C₄	—	4	1	no	—
2011	C₄	—	4	1	no	—
2012	C₄	—	4	1	no	—
2013	C₄	—	4	1	no	—
2014	C₄	—	4	1	no	—
2015	C₄	—	13	2	no	—
2016	C₄	—	26	1	no	—
2017	C₄	—	26	1	no	—
2018	C₄	—	26	1	no	—
2019	C₄	—	26	1	no	—
2020	C₄	—	52	1	no	—
2021	C₄	—	52	1	no	—
2022	C₄	—	52	1	no	—
2023	C₄	—	52	1	no	—
2024	C₄	C₂²×D₄×D₁₃	1	1	yes	characteristic
2025	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
2026	C₂	—	4	1	no	—
2027	C₂	—	4	1	no	—
2028	C₂	—	4	2	no	—
2029	C₂	—	26	2	no	—
2030	C₂	—	52	1	no	—
2031	C₂	—	52	1	no	—
2032	C₂	—	52	2	no	—
2033	C₂	—	52	2	no	—
2034	C₂	—	104	1	no	—
2035	C₂	—	104	1	no	—
2036	C₂	D₄²×D₁₃	1	1	yes	characteristic
2037	C₂	#13129606	1	1	yes	characteristic
2038	C₂	#13129619	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3276	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3276	D₁₃
hypocenter	C₁₃	#61073
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3276

Complements

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

N	H ≅ G/N	type
1. C₂×#11719483	C₂	semidirect
2. C₂×#11719482	C₂	semidirect
3. #13128513	C₂	semidirect
4. #13128475	C₂	semidirect
5. #13126556	C₂	semidirect
6. #13126551	C₂	semidirect
7. #13126545	C₂	semidirect
8. #13126536	C₂	semidirect
9. #13126475	C₂	semidirect
10. #13126448	C₂	semidirect
11. #13126440	C₂	semidirect
12. #13126386	C₂	semidirect
13. #13126385	C₂	semidirect
14. #13126368	C₂	semidirect
15. #13126368	C₂	semidirect
16. #13126367	C₂	semidirect
17. #13126362	C₂	semidirect
18. #13126347	C₂	semidirect
19. #13126340	C₂	semidirect
20. #13125324	C₂	semidirect
21. #13124524	C₂	semidirect
22. #13124465	C₂	semidirect
23. #13124383	C₂	semidirect
24. #13124343	C₂	semidirect
25. #13124144	C₂	semidirect
26. #13124126	C₂	semidirect
27. #13124059	C₂	semidirect
28. D₁₃×#452	C₂	semidirect
29. #13123663	C₂	semidirect
30. #13123565	C₂	semidirect
31. C₁₃×#3276	C₂	semidirect
32. C₂×#88256	C₂²	semidirect
35. C₂²×#6131	C₂²	semidirect
36. C₂×C₁₃×#137	C₂²	semidirect
37. C₂×C₁₃×#137	C₂²	semidirect
38. D₄×Q₈×C₁₃	C₂²	semidirect
41. #11719529	C₂²	semidirect
42. C₂×#88204	C₂²	semidirect
43. C₂×#88203	C₂²	semidirect
44. #11719522	C₂²	semidirect
45. Q₈×C₂²⋊D₁₃	C₂²	semidirect
46. C₂×#88196	C₂²	semidirect
47. C₂²×#6106	C₂²	semidirect
52. C₂×#88173	C₂²	semidirect
53. C₂×#88173	C₂²	semidirect
54. C₂×#88173	C₂²	semidirect
55. C₂×#88172	C₂²	semidirect
56. C₂×#88172	C₂²	semidirect
57. C₂×#88172	C₂²	semidirect
58. C₂×#88172	C₂²	semidirect
59. C₂×Q₁₆×D₁₃	C₂²	semidirect
60. C₂×#88170	C₂²	semidirect
61. C₂×#88170	C₂²	semidirect
64. C₂×#88168	C₂²	semidirect
65. C₂×SD₁₆×D₁₃	C₂²	semidirect
66. C₂×SD₁₆×D₁₃	C₂²	semidirect
67. C₂×#88162	C₂²	semidirect
68. C₂×#88162	C₂²	semidirect
69. C₂×#88161	C₂²	semidirect
70. C₂×M₁₆×D₁₃	C₂²	semidirect
72. #11719431	C₂²	semidirect
73. #11719431	C₂²	semidirect
75. #11719429	C₂²	semidirect
76. #11719429	C₂²	semidirect
83. #11719336	C₂²	semidirect
85. #11719335	C₂²	semidirect
86. #11719335	C₂²	semidirect
89. #11719333	C₂²	semidirect
92. D₁₃×C₂²⋊Q₈	C₂²	semidirect
95. #11719281	C₂²	semidirect
96. #11719279	C₂²	semidirect
97. #11719259	C₂²	semidirect
100. #11719255	C₂²	semidirect
103. #11719250	C₂²	semidirect
106. C₁₃×#494	C₂²	semidirect
107. C₁₃×#470	C₂²	semidirect
108. C₁₃×#470	C₂²	semidirect
109. C₁₃×#462	C₂²	semidirect
110. C₁₃×#461	C₂²	semidirect
111. C₁₃×#452	C₂²	semidirect
112. C₁₃×#452	C₂²	semidirect
113. C₁₃×#451	C₂²	semidirect
114. C₁₃×#451	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
116. C₁₃×#436	C₂²	semidirect
117. #11718900	C₂²	semidirect
118. #11718899	C₂²	semidirect
119. #11718889	C₂²	semidirect
120. #11718888	C₂²	semidirect
121. #11718852	C₂²	semidirect
122. #11718851	C₂²	semidirect
123. #11718851	C₂²	semidirect
124. #11718849	C₂²	semidirect
125. #11718849	C₂²	semidirect
126. #11718848	C₂²	semidirect
127. #11718848	C₂²	semidirect
128. #11718848	C₂²	semidirect
129. #11718848	C₂²	semidirect
130. #11718848	C₂²	semidirect
131. #11718847	C₂²	semidirect
132. #11718846	C₂²	semidirect
133. #11718843	C₂²	semidirect
134. #11718842	C₂²	semidirect
135. #11718834	C₂²	semidirect
136. #11718830	C₂²	semidirect
137. #11718826	C₂²	semidirect
138. #11718825	C₂²	semidirect
139. #11718823	C₂²	semidirect
140. #11718795	C₂²	semidirect
141. #11718795	C₂²	semidirect
142. #11718788	C₂²	semidirect
143. #11718788	C₂²	semidirect
144. #11718747	C₂²	semidirect
145. #11718747	C₂²	semidirect
146. #11718744	C₂²	semidirect
147. #11718744	C₂²	semidirect
148. #11718713	C₂²	semidirect
149. #11718712	C₂²	semidirect
150. #11718710	C₂²	semidirect
151. #11718709	C₂²	semidirect
152. #11718708	C₂²	semidirect
153. #11718708	C₂²	semidirect
154. #11718707	C₂²	semidirect
155. #11718707	C₂²	semidirect
156. #11718689	C₂²	semidirect
157. #11718687	C₂²	semidirect
158. #11718677	C₂²	semidirect
159. #11718675	C₂²	semidirect
160. #11718672	C₂²	semidirect
161. #11718530	C₂²	semidirect
162. #11718525	C₂²	semidirect
163. #11718525	C₂²	semidirect
164. #11718522	C₂²	semidirect
165. #11718505	C₂²	semidirect
166. #11718505	C₂²	semidirect
167. #11718500	C₂²	semidirect
168. #11718497	C₂²	semidirect
169. #11718480	C₂²	semidirect
170. #11718480	C₂²	semidirect
171. #11718479	C₂²	semidirect
172. #11718479	C₂²	semidirect
173. #11718477	C₂²	semidirect
174. #11718474	C₂²	semidirect
175. #11718473	C₂²	semidirect
176. #11718472	C₂²	semidirect
177. #11718472	C₂²	semidirect
178. #11718472	C₂²	semidirect
179. #11718471	C₂²	semidirect
180. #11718471	C₂²	semidirect
181. #11718469	C₂²	semidirect
182. #11718468	C₂²	semidirect
183. #11718465	C₂²	semidirect
184. #11718465	C₂²	semidirect
185. #11718464	C₂²	semidirect
186. #11718463	C₂²	semidirect
187. D₁₃×#103	C₂²	semidirect
188. #11718449	C₂²	semidirect
189. #11718444	C₂²	semidirect
190. #11718434	C₂²	semidirect
191. D₁₃×#102	C₂²	semidirect
192. #11718417	C₂²	semidirect
193. #11718394	C₂²	semidirect
194. #11718394	C₂²	semidirect
195. #11718393	C₂²	semidirect
196. #11718393	C₂²	semidirect
197. #11718390	C₂²	semidirect
198. #11718388	C₂²	semidirect
199. #11718386	C₂²	semidirect
200. D₁₃×C₂²⋊C₈	C₂²	semidirect
201. #11718357	C₂²	semidirect
202. C₄×D₁₀₄	C₂²	semidirect
203. #11718350	C₂²	semidirect
204. C₈×D₅₂	C₂²	semidirect
361. #88168	D₄	semidirect
808. #3276	D₁₃	semidirect
991. C₂×#137	C₂×D₁₃	semidirect
992. C₂×#137	C₂×D₁₃	semidirect
1014. D₄×Q₈	C₂×D₁₃	semidirect
1061. #494	C₂×D₁₃	semidirect
1064. #470	C₂×D₁₃	semidirect
1065. #470	C₂×D₁₃	semidirect
1087. #462	C₂×D₁₃	semidirect
1093. #461	C₂×D₁₃	semidirect
1108. #452	C₂×D₁₃	semidirect
1109. #452	C₂×D₁₃	semidirect
1113. #451	C₂×D₁₃	semidirect
1114. #451	C₂×D₁₃	semidirect
1131. C₄×SD₁₆	C₂×D₁₃	semidirect
1135. #436	C₂×D₁₃	semidirect
1817. C₁₃	#61073	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719483	2
C₂×#11719482	2
#13128513	2
#13128475	2
#13126556	2
#13126551	2
#13126545	2
#13126536	2
#13126475	2
#13126448	2
#13126440	2
#13126386	2
#13126385	2
#13126368	2
#13126367	2
#13126362	2
#13126347	2
#13126340	2
#13125324	2
#13124524	2
#13124465	2
#13124383	2
#13124343	2
#13124144	2
#13124126	2
#13124059	2
D₁₃×#452	2
#13123663	2
#13123565	2
C₁₃×#3276	2
#61073	13