Subgroups — #16744688

Order 3328.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128446	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127902	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127775	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127657	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127604	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127396	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127306	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127291	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127089	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127046	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127007	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126947	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126851	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126791	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126468	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126347	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126332	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125436	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125432	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125400	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124916	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124879	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124867	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124854	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124848	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124840	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123803	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88196	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88203	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#6106	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#556	—	2	1	no	—
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	C₂²	1	1	yes	characteristic
38	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#548	C₂²	1	1	yes	characteristic
41	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#547	—	2	1	no	—
43	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#533	—	2	1	no	—
45	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#529	—	2	1	no	—
47	C₁₃×#529	—	2	1	no	—
48	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
50	C₄×C₁₃×#41	—	2	1	no	—
51	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
52	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	#11719534	—	2	1	no	—
56	C₂×#88203	C₂²	1	1	yes	characteristic
57	C₂×#88196	C₂²	1	1	yes	characteristic
58	C₂²×#6106	C₂²	1	1	yes	characteristic
59	#11719290	C₂²	1	1	yes	characteristic
60	#11719285	—	2	1	no	—
61	#11719284	C₂²	1	1	yes	characteristic
62	#11719270	C₂²	1	1	yes	characteristic
63	#11719270	C₂²	1	1	yes	characteristic
64	#11719255	C₂²	1	1	yes	characteristic
65	#11719255	C₂²	1	1	yes	characteristic
66	D₄×D₅₂	C₂²	1	1	yes	characteristic
67	#11719252	—	2	1	no	—
68	#11719252	—	2	1	no	—
69	C₄×D₄×D₁₃	—	2	1	no	—
70	#11719248	C₂²	1	1	yes	characteristic
71	#11719235	—	2	1	no	—
72	#11719232	—	2	1	no	—
73	#11719232	—	2	1	no	—
74	#11719184	C₂²	1	1	yes	characteristic
75	#11719184	C₂²	1	1	yes	characteristic
76	#11719182	C₂²	1	1	yes	characteristic
77	C₄×#6127	C₂²	1	1	yes	characteristic
78	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
80	#11718900	C₂²	1	1	yes	characteristic, complemented
81	#11718899	C₂²	1	1	yes	characteristic
82	#11718893	C₂²	1	1	yes	characteristic, complemented
83	#11718889	C₂²	1	1	yes	characteristic, complemented
84	#11718888	C₂²	1	1	yes	characteristic
85	#11718888	C₂²	1	1	yes	characteristic, complemented
86	#11718888	C₂²	1	1	yes	characteristic, complemented
87	#11718886	C₂²	1	1	yes	characteristic, complemented
88	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
89	#11718750	C₂²	1	1	yes	characteristic, complemented
90	#11718747	C₂²	1	1	yes	characteristic, complemented
91	#11718745	C₂²	1	1	yes	characteristic
92	#11718745	C₂²	1	1	yes	characteristic, complemented
93	#11718744	C₂²	1	1	yes	characteristic
94	#11718744	C₂²	1	1	yes	characteristic, complemented
95	#11718743	C₂²	1	1	yes	characteristic, complemented
96	#11718741	C₂²	1	1	yes	characteristic, complemented
97	#11718729	C₂²	1	1	yes	characteristic, complemented
98	#11718728	C₂²	1	1	yes	characteristic
99	#11718727	C₂²	1	1	yes	characteristic
100	#11718727	C₂²	1	1	yes	characteristic
101	#11718727	C₂²	1	1	yes	characteristic, complemented
102	#11718726	C₂²	1	1	yes	characteristic, complemented
103	#11718725	C₂²	1	1	yes	characteristic, complemented
104	#11718724	C₂²	1	1	yes	characteristic, complemented
105	#11718720	C₂²	1	1	yes	characteristic, complemented
106	#11718719	C₂²	1	1	yes	characteristic
107	#11718718	C₂²	1	1	yes	characteristic
108	#11718718	C₂²	1	1	yes	characteristic
109	#11718718	C₂²	1	1	yes	characteristic, complemented
110	#11718717	C₂²	1	1	yes	characteristic, complemented
111	#11718716	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718713	C₂²	1	1	yes	characteristic, complemented
114	#11718713	C₂²	1	1	yes	characteristic, complemented
115	#11718712	C₂²	1	1	yes	characteristic, complemented
116	#11718710	C₂²	1	1	yes	characteristic
117	#11718710	C₂²	1	1	yes	characteristic
118	#11718710	C₂²	1	1	yes	characteristic, complemented
119	#11718710	C₂²	1	1	yes	characteristic, complemented
120	#11718709	C₂²	1	1	yes	characteristic
121	#11718708	C₂²	1	1	yes	characteristic
122	#11718707	C₂²	1	1	yes	characteristic
123	#11718707	C₂²	1	1	yes	characteristic
124	#11718707	C₂²	1	1	yes	characteristic
125	#11718706	C₂²	1	1	yes	characteristic, complemented
126	#11718705	C₂²	1	1	yes	characteristic, complemented
127	#11718704	C₂²	1	1	yes	characteristic, complemented
128	#11718704	C₂²	1	1	yes	characteristic, complemented
129	#11718702	C₂²	1	1	yes	characteristic, complemented
130	#11718700	C₂²	1	1	yes	characteristic, complemented
131	#11718700	C₂²	1	1	yes	characteristic, complemented
132	#11718699	C₂²	1	1	yes	characteristic
133	#11718698	C₂²	1	1	yes	characteristic
134	#11718697	C₂²	1	1	yes	characteristic
135	#11718696	C₂²	1	1	yes	characteristic, complemented
136	#11718695	C₂²	1	1	yes	characteristic, complemented
137	#11718691	C₂²	1	1	yes	characteristic, complemented
138	#11718691	C₂²	1	1	yes	characteristic, complemented
139	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
140	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
141	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
142	#11718689	C₂²	1	1	yes	characteristic, complemented
143	#11718689	C₂²	1	1	yes	characteristic, complemented
144	#11718689	C₂²	1	1	yes	characteristic, complemented
145	#11718688	C₂²	1	1	yes	characteristic
146	#11718688	C₂²	1	1	yes	characteristic
147	#11718687	C₂²	1	1	yes	characteristic
148	#11718687	C₂²	1	1	yes	characteristic
149	#11718687	C₂²	1	1	yes	characteristic
150	#11718687	C₂²	1	1	yes	characteristic, complemented
151	C₄×#6106	C₂²	1	1	yes	characteristic
152	C₄×#6106	C₂²	1	1	yes	characteristic
153	C₄×#6106	C₂²	1	1	yes	characteristic
154	C₄×#6106	C₂²	1	1	yes	characteristic
155	C₄×#6106	C₂²	1	1	yes	characteristic
156	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
157	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
158	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
159	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
160	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
161	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
162	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
163	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
164	#11718685	C₂²	1	1	yes	characteristic, complemented
165	#11718685	C₂²	1	1	yes	characteristic, complemented
166	#11718683	C₂²	1	1	yes	characteristic, complemented
167	#11718683	C₂²	1	1	yes	characteristic, complemented
168	#11718683	C₂²	1	1	yes	characteristic, complemented
169	#11718681	C₂²	1	1	yes	characteristic, complemented
170	#11718681	C₂²	1	1	yes	characteristic, complemented
171	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
172	#11718677	C₂²	1	1	yes	characteristic, complemented
173	#11718675	C₂²	1	1	yes	characteristic
174	#11718675	C₂²	1	1	yes	characteristic, complemented
175	C₄×#6104	C₂²	1	1	yes	characteristic
176	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
177	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
178	#11718673	C₂²	1	1	yes	characteristic, complemented
179	#11718673	C₂²	1	1	yes	characteristic, complemented
180	#11718672	C₂²	1	1	yes	characteristic
181	#11718672	C₂²	1	1	yes	characteristic
182	#11718672	C₂²	1	1	yes	characteristic, complemented
183	#11718672	C₂²	1	1	yes	characteristic, complemented
184	#11718670	C₂²	1	1	yes	characteristic, complemented
185	#11718664	C₂²	1	1	yes	characteristic
186	#11718662	C₂²	1	1	yes	characteristic
187	#11718657	C₂²	1	1	yes	characteristic, complemented
188	#11718656	C₂²	1	1	yes	characteristic, complemented
189	#11718632	C₂²	1	1	yes	characteristic, complemented
190	#11718629	C₂²	1	1	yes	characteristic, complemented
191	#11718629	C₂²	1	1	yes	characteristic, complemented
192	#11718628	C₂²	1	1	yes	characteristic
193	#11718627	C₂²	1	1	yes	characteristic
194	C₂×#88049	C₂²	1	1	yes	characteristic
195	#11718625	C₂²	1	1	yes	characteristic, complemented
196	C₂×#88048	C₂²	1	1	yes	characteristic, complemented
197	#11718586	C₂²	1	1	yes	characteristic, complemented
198	#11718586	C₂²	1	1	yes	characteristic, complemented
199	#11718586	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
201	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×#1055	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₃	—	2	1	no	—
209	C₂×#6127	—	2	1	no	—
210	C₂×#6127	C₂³	1	1	yes	characteristic
211	C₂²×D₅₂	C₂³	1	1	yes	characteristic
212	C₂²×D₅₂	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₁₃	—	2	1	no	—
214	C₂²×C₄×D₁₃	—	2	1	no	—
215	C₁₃×C₄⋊Q₈	—	2	1	no	—
216	C₁₃×C₄⋊Q₈	—	2	1	no	—
217	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#126	—	2	1	no	—
221	C₁₃×#126	—	2	1	no	—
222	C₁₃×#126	—	2	1	no	—
223	C₁₃×#126	—	2	1	no	—
224	C₁₃×#126	—	2	1	no	—
225	C₁₃×#125	—	2	1	no	—
226	C₁₃×#125	—	2	1	no	—
227	C₁₃×#125	—	2	1	no	—
228	C₁₃×#125	—	2	1	no	—
229	C₁₃×#125	—	2	1	no	—
230	C₁₃×#125	C₂³	1	1	yes	characteristic
231	C₁₃×#125	C₂³	1	1	yes	characteristic
232	C₁₃×#124	—	2	1	no	—
233	C₁₃×#124	—	2	1	no	—
234	C₁₃×#124	C₂³	1	1	yes	characteristic
235	C₁₃×#124	C₂³	1	1	yes	characteristic
236	C₁₃×#123	—	2	1	no	—
237	C₁₃×#123	—	2	1	no	—
238	C₁₃×#123	—	2	1	no	—
239	C₁₃×#123	—	2	1	no	—
240	C₁₃×#123	—	2	1	no	—
241	C₁₃×#123	—	2	1	no	—
242	C₁₃×C₂²⋊Q₈	—	2	1	no	—
243	C₁₃×C₂²⋊Q₈	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	—	2	1	no	—
247	C₁₃×C₂²⋊Q₈	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	—	2	1	no	—
249	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₁₃×#121	—	2	1	no	—
254	C₁₃×#121	—	2	1	no	—
255	C₁₃×#121	C₂³	1	1	yes	characteristic
256	C₁₃×#121	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	—	2	1	no	—
258	C₄×Q₈×C₁₃	—	2	1	no	—
259	C₄×Q₈×C₁₃	—	2	1	no	—
260	C₄×Q₈×C₁₃	—	2	1	no	—
261	C₄×Q₈×C₁₃	—	2	1	no	—
262	C₄×Q₈×C₁₃	—	2	1	no	—
263	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
264	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
265	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
272	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	—	2	1	no	—
275	C₄×D₄×C₁₃	—	2	1	no	—
276	C₄×D₄×C₁₃	—	2	1	no	—
277	C₄×D₄×C₁₃	—	2	1	no	—
278	C₄×D₄×C₁₃	—	2	1	no	—
279	C₄×D₄×C₁₃	—	2	1	no	—
280	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
281	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
282	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
283	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	—	2	1	no	—
292	C₁₃×#117	—	2	1	no	—
293	C₁₃×#117	—	2	1	no	—
294	C₁₃×#117	—	2	1	no	—
295	C₁₃×#117	D₄	1	1	yes	characteristic
296	C₁₃×#117	D₄	1	1	yes	characteristic
297	C₁₃×#117	D₄	1	1	yes	characteristic
298	C₁₃×#117	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
301	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₁₃	—	2	1	no	—
304	C₂×C₄²×C₁₃	—	2	1	no	—
305	C₂×C₄²×C₁₃	—	2	1	no	—
306	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
309	#88203	—	2	4	no	—
310	#88201	—	2	1	no	—
311	#88200	—	2	1	no	—
312	C₂×#6107	C₂³	1	1	yes	characteristic
313	C₂×#6107	C₂³	1	1	yes	characteristic
314	C₂×#6107	C₂³	1	1	yes	characteristic
315	#88196	—	2	4	no	—
316	C₂×#6106	—	2	4	no	—
317	C₂×#6106	C₂³	1	1	yes	characteristic
318	C₂×#6106	C₂³	1	1	yes	characteristic
319	C₂×#6106	C₂³	1	1	yes	characteristic
320	C₂×#6106	C₂³	1	1	yes	characteristic
321	C₂×#6106	C₂³	1	1	yes	characteristic
322	C₂×#6106	C₂³	1	1	yes	characteristic
323	C₂×#6106	C₂³	1	1	yes	characteristic
324	C₂×#6106	C₂³	1	1	yes	characteristic
325	C₂×#6106	C₂³	1	1	yes	characteristic
326	#88193	—	2	1	no	—
327	#88193	—	2	1	no	—
328	#88191	—	2	1	no	—
329	#88191	—	2	1	no	—
330	D₄×Dic₁₃	—	2	1	no	—
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6104	C₂³	1	1	yes	characteristic
333	C₂×#6104	C₂³	1	1	yes	characteristic
334	C₂×#6104	C₂³	1	1	yes	characteristic
335	#88184	—	2	1	no	—
336	#88184	C₂³	1	1	yes	characteristic
337	#88184	C₂³	1	1	yes	characteristic
338	#88184	C₂³	1	1	yes	characteristic
339	#88184	C₂³	1	1	yes	characteristic
340	#88183	—	2	1	no	—
341	#88183	—	2	1	no	—
342	C₄×C₂²⋊D₁₃	—	2	1	no	—
343	C₄×C₂²⋊D₁₃	—	2	1	no	—
344	C₄×C₂²⋊D₁₃	—	2	1	no	—
345	C₄×C₂²⋊D₁₃	—	2	1	no	—
346	C₂×#6103	—	2	1	no	—
347	C₂×#6103	—	2	1	no	—
348	#88180	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
351	#88178	C₂³	1	1	yes	characteristic
352	#88178	C₂³	1	1	yes	characteristic
353	C₂×#6099	C₂³	1	1	yes	characteristic
354	C₂×#6099	C₂³	1	1	yes	characteristic
355	C₂×#6099	C₂³	1	1	yes	characteristic
356	C₂×#6099	C₂³	1	1	yes	characteristic
357	C₂²×#1055	C₂³	1	1	yes	characteristic
358	C₂²×#1055	C₂³	1	1	yes	characteristic
359	#88152	—	2	1	no	—
360	#88152	—	2	1	no	—
361	#88150	—	2	1	no	—
362	#88150	—	2	1	no	—
363	#88149	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88148	—	2	1	no	—
366	#88148	—	2	1	no	—
367	#88148	—	2	1	no	—
368	#88147	—	2	1	no	—
369	C₄⋊C₄×D₁₃	—	2	1	no	—
370	#88144	—	2	1	no	—
371	#88138	—	2	1	no	—
372	#88138	—	2	1	no	—
373	#88137	—	2	1	no	—
374	#88137	—	2	1	no	—
375	#88136	—	2	1	no	—
376	#88136	—	2	1	no	—
377	#88135	—	2	1	no	—
378	#88135	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	#88132	—	2	1	no	—
382	#88132	—	2	1	no	—
383	#88130	—	2	1	no	—
384	#88130	—	2	1	no	—
385	#88129	—	2	1	no	—
386	#88129	C₂³	1	1	yes	characteristic
387	#88129	C₂³	1	1	yes	characteristic
388	#88128	C₂³	1	1	yes	characteristic
389	C₄×D₅₂	—	2	1	no	—
390	C₄×D₅₂	—	2	1	no	—
391	C₄×D₅₂	—	2	1	no	—
392	C₄×D₅₂	—	2	1	no	—
393	C₄×D₅₂	—	2	1	no	—
394	C₄×D₅₂	C₂³	1	1	yes	characteristic
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	C₄×D₅₂	C₂³	1	1	yes	characteristic
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	C₄×D₅₂	C₂³	1	1	yes	characteristic
399	C₄×D₅₂	C₂³	1	1	yes	characteristic
400	C₄×D₅₂	C₂³	1	1	yes	characteristic
401	C₄×D₅₂	C₂³	1	1	yes	characteristic
402	#88126	—	2	1	no	—
403	#88126	—	2	1	no	—
404	#88126	—	2	1	no	—
405	C₄²×D₁₃	—	2	1	no	—
406	#88124	C₂³	1	1	yes	characteristic
407	#88124	C₂³	1	1	yes	characteristic
408	#88123	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	#88075	C₂³	1	1	yes	characteristic
412	#88075	C₂³	1	1	yes	characteristic
413	#88075	C₂³	1	1	yes	characteristic
414	#88075	C₂³	1	1	yes	characteristic
415	#88075	C₂³	1	1	yes	characteristic
416	#88075	C₂³	1	1	yes	characteristic
417	#88075	C₂³	1	1	yes	characteristic
418	#88075	C₂³	1	1	yes	characteristic
419	#88075	C₂³	1	1	yes	characteristic
420	#88075	C₂³	1	1	yes	characteristic
421	#88075	C₂³	1	1	yes	characteristic
422	#88075	C₂³	1	1	yes	characteristic
423	#88072	C₂³	1	1	yes	characteristic
424	#88072	C₂³	1	1	yes	characteristic
425	#88072	C₂³	1	1	yes	characteristic
426	#88072	C₂³	1	1	yes	characteristic
427	C₂²⋊#1055	C₂³	1	1	yes	characteristic
428	C₂²⋊#1055	C₂³	1	1	yes	characteristic
429	C₂²⋊#1055	C₂³	1	1	yes	characteristic
430	C₂²⋊#1055	C₂³	1	1	yes	characteristic
431	C₂²⋊#1055	C₂³	1	1	yes	characteristic
432	C₂²⋊#1055	C₂³	1	1	yes	characteristic
433	#88050	C₂³	1	1	yes	characteristic
434	#88050	C₂³	1	1	yes	characteristic
435	#88050	C₂³	1	1	yes	characteristic
436	#88050	C₂³	1	1	yes	characteristic
437	#88049	C₂³	1	1	yes	characteristic
438	#88049	C₂³	1	1	yes	characteristic
439	#88049	C₂³	1	1	yes	characteristic
440	#88049	C₂³	1	1	yes	characteristic
441	#88049	C₂³	1	1	yes	characteristic
442	#88049	C₂³	1	1	yes	characteristic
443	#88049	C₂³	1	1	yes	characteristic
444	#88049	C₂³	1	1	yes	characteristic
445	#88049	C₂³	1	1	yes	characteristic
446	#88049	C₂³	1	1	yes	characteristic
447	#88049	C₂³	1	1	yes	characteristic
448	#88049	C₂³	1	1	yes	characteristic
449	#88048	C₂³	1	1	yes	characteristic
450	#88048	C₂³	1	1	yes	characteristic
451	#88048	C₂³	1	1	yes	characteristic
452	#88048	C₂³	1	1	yes	characteristic
453	#88048	C₂³	1	1	yes	characteristic
454	#88048	C₂³	1	1	yes	characteristic
455	#88048	C₂³	1	1	yes	characteristic
456	#88048	C₂³	1	1	yes	characteristic
457	#88048	C₂³	1	1	yes	characteristic
458	#88048	C₂³	1	1	yes	characteristic
459	#88047	C₂³	1	1	yes	characteristic
460	#88047	C₂³	1	1	yes	characteristic
461	#88047	C₂³	1	1	yes	characteristic
462	#88047	C₂³	1	1	yes	characteristic
463	#88047	C₂³	1	1	yes	characteristic
464	#88047	C₂³	1	1	yes	characteristic
465	C₄⋊#1055	C₂³	1	1	yes	characteristic
466	C₄⋊#1055	C₂³	1	1	yes	characteristic
467	C₄⋊#1055	C₂³	1	1	yes	characteristic
468	C₄⋊#1055	C₂³	1	1	yes	characteristic
469	C₄⋊#1055	C₂³	1	1	yes	characteristic
470	C₄⋊#1055	C₂³	1	1	yes	characteristic
471	#88043	C₂³	1	1	yes	characteristic
472	#88043	C₂³	1	1	yes	characteristic
473	#88043	C₂³	1	1	yes	characteristic
474	#88043	C₂³	1	1	yes	characteristic
475	C₄×#1055	C₂³	1	1	yes	characteristic
476	C₄×#1055	C₂³	1	1	yes	characteristic
477	C₄×#1055	C₂³	1	1	yes	characteristic
478	C₄×#1055	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61445	—	13	1	no	maximal, Sylow
482	C₂³×D₁₃	—	2	1	no	—
483	C₂³×D₁₃	—	2	1	no	—
484	C₁₃×#41	—	2	2	no	—
485	C₁₃×#41	—	4	2	no	—
486	C₁₃×#41	—	4	1	no	—
487	C₁₃×#41	—	4	4	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	2	no	—
492	C₂×Q₈×C₁₃	—	2	2	no	—
493	C₂×Q₈×C₁₃	—	4	1	no	—
494	C₂×Q₈×C₁₃	—	4	1	no	—
495	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	D₄×D₁₃	—	4	4	no	—
530	#6127	—	2	2	no	—
531	#6127	—	4	1	no	—
532	#6127	—	8	2	no	—
533	C₂×D₅₂	—	2	2	no	—
534	C₂×D₅₂	—	2	2	no	—
535	C₂×D₅₂	—	2	1	no	—
536	C₂×D₅₂	—	2	1	no	—
537	C₂×D₅₂	—	2	1	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	—	4	1	no	—
540	C₂×D₅₂	—	4	1	no	—
541	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
542	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
543	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₁₃	—	2	1	no	—
545	C₂×C₄×D₁₃	—	2	1	no	—
546	C₂×C₄×D₁₃	—	2	1	no	—
547	C₂×C₄×D₁₃	—	2	1	no	—
548	C₂×C₄×D₁₃	—	2	1	no	—
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	8	2	no	—
554	C₂×C₄×D₁₃	—	8	2	no	—
555	C₂×Dic₂₆	—	2	1	no	—
556	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	—	2	1	no	—
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	—	2	1	no	—
576	C₁₃×C₄⋊C₄	—	2	1	no	—
577	C₁₃×C₄⋊C₄	—	2	1	no	—
578	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
579	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₁₃	—	2	1	no	—
608	C₄²×C₁₃	—	2	1	no	—
609	C₄²×C₁₃	—	2	1	no	—
610	C₄²×C₁₃	—	2	1	no	—
611	C₄²×C₁₃	—	2	1	no	—
612	C₄²×C₁₃	—	2	1	no	—
613	C₄²×C₁₃	—	2	1	no	—
614	C₄²×C₁₃	—	2	1	no	—
615	C₄²×C₁₃	—	2	1	no	—
616	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
617	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
618	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
619	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
622	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
623	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
624	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	#6107	—	2	2	no	—
630	#6107	—	2	2	no	—
631	#6107	—	4	1	no	—
632	#6106	—	2	2	no	—
633	#6106	—	2	2	no	—
634	#6106	—	2	2	no	—
635	#6106	—	2	2	no	—
636	#6106	—	2	2	no	—
637	#6106	—	4	1	no	—
638	#6106	—	4	1	no	—
639	#6106	—	4	1	no	—
640	#6106	#41	1	4	yes	complemented
641	#6105	—	4	1	no	—
642	#6104	—	2	2	no	—
643	#6104	—	2	2	no	—
644	#6104	—	4	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	—	2	1	no	—
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	C₄×Dic₁₃	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	—	2	1	no	—
679	#6099	—	2	2	no	—
680	#6099	—	2	2	no	—
681	#6099	—	4	1	no	—
682	#6099	—	4	1	no	—
683	C₂×#1055	—	2	2	no	—
684	C₂×#1055	—	4	1	no	—
685	C₂×#1055	C₂⁴	1	1	yes	characteristic
686	C₂×#1055	C₂⁴	1	1	yes	characteristic
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	C₂×#1055	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	C₂⁴	1	1	yes	characteristic
691	C₂×#1055	C₂⁴	1	1	yes	characteristic
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	#3482	D₁₃	1	1	yes	characteristic, complemented
694	#3481	—	13	1	no	—
695	#3401	—	13	1	no	—
696	#3388	—	13	1	no	—
697	#3376	—	13	1	no	—
698	#3371	—	13	1	no	—
699	#3351	—	13	1	no	—
700	#3345	—	13	1	no	—
701	#3344	—	13	1	no	—
702	#3326	—	13	1	no	—
703	#3323	—	13	1	no	—
704	#3320	—	13	1	no	—
705	#3316	—	13	1	no	—
706	#3310	—	13	1	no	—
707	#3306	—	13	1	no	—
708	#3275	—	13	1	no	—
709	#3266	—	13	1	no	—
710	#3265	—	13	1	no	—
711	#3172	—	13	1	no	—
712	#3171	—	13	1	no	—
713	#3168	—	13	1	no	—
714	#3108	—	13	1	no	—
715	#3105	—	13	1	no	—
716	#3103	—	13	1	no	—
717	#3102	—	13	1	no	—
718	#3102	—	13	1	no	—
719	#3101	—	13	1	no	—
720	#2965	—	13	1	no	—
721	C₄×#137	—	13	1	no	—
722	C₄×AGL(1,ℤ/8)	—	13	1	no	—
723	C₂×C₄×SD₁₆	—	13	1	no	—
724	C₂³×C₁₃	—	2	1	no	—
725	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
726	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
727	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
728	C₂²×D₁₃	—	2	1	no	—
729	C₂²×D₁₃	—	2	1	no	—
730	C₂²×D₁₃	—	2	1	no	—
731	C₂²×D₁₃	—	4	2	no	—
732	C₂²×D₁₃	—	4	2	no	—
733	C₂²×D₁₃	—	4	2	no	—
734	C₂²×D₁₃	—	4	2	no	—
735	C₂²×D₁₃	—	8	1	no	—
736	C₂²×D₁₃	—	8	1	no	—
737	Q₈×C₁₃	—	2	1	no	—
738	Q₈×C₁₃	—	2	1	no	—
739	Q₈×C₁₃	—	2	1	no	—
740	Q₈×C₁₃	—	2	1	no	—
741	Q₈×C₁₃	—	2	1	no	—
742	Q₈×C₁₃	—	4	1	no	—
743	Q₈×C₁₃	—	4	2	no	—
744	Q₈×C₁₃	—	4	2	no	—
745	Q₈×C₁₃	—	4	2	no	—
746	Q₈×C₁₃	C₂×#41	1	2	yes	—
747	D₄×C₁₃	—	2	2	no	—
748	D₄×C₁₃	—	2	2	no	—
749	D₄×C₁₃	—	2	1	no	—
750	D₄×C₁₃	—	2	1	no	—
751	D₄×C₁₃	—	4	1	no	—
752	D₄×C₁₃	—	4	2	no	—
753	D₄×C₁₃	—	4	2	no	—
754	D₄×C₁₃	—	4	2	no	—
755	C₂×C₄×C₁₃	—	2	2	no	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	2	no	—
758	C₂×C₄×C₁₃	—	2	2	no	—
759	C₂×C₄×C₁₃	—	2	2	no	—
760	C₂×C₄×C₁₃	—	2	1	no	—
761	C₂×C₄×C₁₃	—	2	1	no	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	4	1	no	—
773	C₂×C₄×C₁₃	—	4	1	no	—
774	C₂×C₄×C₁₃	—	4	2	no	—
775	C₂×C₄×C₁₃	—	4	2	no	—
776	C₂×C₄×C₁₃	—	4	2	no	—
777	C₂×C₄×C₁₃	—	4	2	no	—
778	C₂×C₄×C₁₃	—	4	2	no	—
779	C₂×C₄×C₁₃	—	4	2	no	—
780	C₂×C₄×C₁₃	—	4	2	no	—
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
793	C₂²⋊D₁₃	—	4	2	no	—
794	C₂²⋊D₁₃	—	4	2	no	—
795	C₂²⋊D₁₃	—	4	2	no	—
796	C₂²⋊D₁₃	—	8	1	no	—
797	C₂²⋊D₁₃	—	8	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	1	no	—
801	C₂×Dic₁₃	—	2	1	no	—
802	C₂×Dic₁₃	—	2	1	no	—
803	C₂×Dic₁₃	—	8	1	no	—
804	C₂×Dic₁₃	—	8	1	no	—
805	D₅₂	—	2	1	no	—
806	D₅₂	—	2	1	no	—
807	D₅₂	—	2	1	no	—
808	D₅₂	—	2	1	no	—
809	D₅₂	—	2	1	no	—
810	D₅₂	—	4	2	no	—
811	D₅₂	—	4	2	no	—
812	D₅₂	—	4	2	no	—
813	D₅₂	—	8	1	no	—
814	D₅₂	C₂×#41	1	2	yes	—
815	C₄×D₁₃	—	4	2	no	—
816	C₄×D₁₃	—	4	2	no	—
817	C₄×D₁₃	—	4	2	no	—
818	C₄×D₁₃	—	4	2	no	—
819	C₄×D₁₃	—	4	2	no	—
820	C₄×D₁₃	—	8	1	no	—
821	C₄×D₁₃	—	8	1	no	—
822	C₄×D₁₃	—	8	1	no	—
823	C₄×D₁₃	—	8	1	no	—
824	Dic₂₆	—	2	1	no	—
825	Dic₂₆	—	2	1	no	—
826	Dic₂₆	—	8	1	no	—
827	#1055	—	2	1	no	—
828	#1055	—	2	1	no	—
829	#1055	—	2	1	no	—
830	#1055	—	2	1	no	—
831	#1055	—	2	1	no	—
832	#1055	—	2	1	no	—
833	#1055	—	2	1	no	—
834	#1055	C₂×#41	1	2	yes	—
835	C₂×#137	—	13	1	no	—
836	C₂×AGL(1,ℤ/8)	—	13	1	no	—
837	C₂²×SD₁₆	—	13	1	no	—
838	#559	—	13	1	no	—
839	#557	C₂×D₁₃	1	1	yes	characteristic, complemented
840	#556	—	2	1	no	—
841	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
842	#554	—	13	1	no	—
843	#554	—	13	1	no	—
844	#553	—	13	1	no	—
845	#553	—	13	1	no	—
846	#553	—	26	1	no	—
847	#552	—	2	1	no	—
848	#552	—	2	1	no	—
849	#552	C₂×D₁₃	1	1	yes	characteristic
850	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
851	#551	—	26	1	no	—
852	#551	—	26	1	no	—
853	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
854	#548	C₂×D₁₃	1	1	yes	characteristic
855	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
856	#547	—	2	1	no	—
857	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
858	#546	—	13	1	no	—
859	#546	—	13	1	no	—
860	#546	—	26	1	no	—
861	D₄²	—	13	1	no	—
862	#533	—	2	1	no	—
863	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
864	#532	—	13	1	no	—
865	#529	—	2	1	no	—
866	#529	—	2	1	no	—
867	#529	—	13	1	no	—
868	#529	—	13	1	no	—
869	#529	—	26	1	no	—
870	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
871	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
872	#525	—	26	1	no	—
873	#525	—	26	1	no	—
874	C₄×#41	—	2	1	no	—
875	C₄×#41	—	13	1	no	—
876	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
877	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
878	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
879	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
880	C₂×C₄×D₄	—	13	1	no	—
881	C₂×C₄×D₄	—	13	1	no	—
882	C₂×C₄×D₄	—	26	1	no	—
883	#501	—	13	1	no	—
884	#501	—	13	1	no	—
885	#499	—	13	1	no	—
886	#497	—	13	1	no	—
887	#496	—	13	1	no	—
888	#495	—	13	1	no	—
889	#491	—	13	1	no	—
890	#490	—	13	1	no	—
891	#489	—	13	1	no	—
892	#489	—	13	1	no	—
893	#488	—	13	1	no	—
894	#488	—	13	1	no	—
895	#485	—	13	1	no	—
896	#485	—	13	1	no	—
897	#484	—	13	1	no	—
898	#483	—	13	1	no	—
899	#483	—	13	1	no	—
900	#483	—	13	1	no	—
901	#482	—	13	1	no	—
902	#482	—	13	1	no	—
903	#481	—	13	1	no	—
904	#481	—	13	1	no	—
905	#481	—	13	1	no	—
906	#480	—	13	1	no	—
907	#479	—	13	1	no	—
908	#479	—	13	1	no	—
909	#479	—	13	1	no	—
910	#479	—	13	1	no	—
911	#478	—	13	1	no	—
912	#478	—	13	1	no	—
913	#478	—	13	1	no	—
914	#478	—	13	1	no	—
915	#476	—	13	1	no	—
916	#476	—	13	1	no	—
917	#475	—	13	1	no	—
918	#475	—	13	1	no	—
919	#470	—	13	1	no	—
920	#470	—	13	1	no	—
921	#469	—	13	1	no	—
922	#469	—	13	1	no	—
923	#468	—	13	1	no	—
924	#468	—	13	1	no	—
925	#468	—	13	1	no	—
926	#468	—	13	1	no	—
927	#467	—	13	1	no	—
928	#466	—	13	1	no	—
929	#465	—	13	1	no	—
930	#465	—	13	1	no	—
931	#464	—	13	1	no	—
932	#464	—	13	1	no	—
933	#464	—	13	1	no	—
934	#464	—	13	1	no	—
935	#463	—	13	1	no	—
936	#463	—	13	1	no	—
937	#463	—	13	1	no	—
938	#463	—	13	1	no	—
939	#461	—	13	1	no	—
940	#461	—	13	1	no	—
941	#460	—	13	1	no	—
942	#460	—	13	1	no	—
943	#452	—	13	1	no	—
944	#452	—	13	1	no	—
945	#451	—	13	1	no	—
946	#450	—	13	1	no	—
947	#450	—	13	1	no	—
948	#450	—	13	1	no	—
949	#449	—	13	1	no	—
950	#449	—	13	1	no	—
951	#448	—	13	1	no	—
952	#448	—	13	1	no	—
953	#448	—	13	1	no	—
954	#447	—	13	1	no	—
955	#446	—	13	1	no	—
956	#446	—	13	1	no	—
957	#442	—	13	1	no	—
958	#442	—	13	1	no	—
959	#441	—	13	1	no	—
960	#441	—	13	1	no	—
961	#440	—	13	1	no	—
962	#440	—	13	1	no	—
963	#440	—	13	1	no	—
964	#440	—	13	1	no	—
965	C₄×Q₁₆	—	13	1	no	—
966	C₄×Q₁₆	—	13	1	no	—
967	C₄×Q₁₆	—	13	1	no	—
968	C₄×SD₁₆	—	13	1	no	—
969	C₄×SD₁₆	—	13	1	no	—
970	C₄×SD₁₆	—	13	1	no	—
971	C₄×SD₁₆	—	13	1	no	—
972	C₄×SD₁₆	—	13	1	no	—
973	C₄×SD₁₆	—	13	1	no	—
974	C₄×SD₁₆	—	13	1	no	—
975	C₄×SD₁₆	—	13	1	no	—
976	C₄×SD₁₆	—	13	1	no	—
977	C₄×SD₁₆	—	13	1	no	—
978	C₄×SD₁₆	—	13	1	no	—
979	C₄×SD₁₆	—	13	1	no	—
980	C₄×SD₁₆	—	13	1	no	—
981	C₄×SD₁₆	—	13	1	no	—
982	C₄×D₈	—	13	1	no	—
983	C₄×D₈	—	13	1	no	—
984	C₄×D₈	—	13	1	no	—
985	#436	—	13	1	no	—
986	#436	—	13	1	no	—
987	#435	—	13	1	no	—
988	#435	—	13	1	no	—
989	#435	—	13	1	no	—
990	#435	—	13	1	no	—
991	#431	—	13	1	no	—
992	#431	—	13	1	no	—
993	#431	—	13	1	no	—
994	#428	—	13	1	no	—
995	#428	—	13	1	no	—
996	C₂×#106	—	13	1	no	—
997	#419	—	13	1	no	—
998	#418	—	13	1	no	—
999	#417	—	13	1	no	—
1000	#417	—	13	1	no	—
1001	C₂×#103	—	13	1	no	—
1002	C₂×#102	—	13	1	no	—
1003	C₄×M₁₆	—	13	1	no	—
1004	C₄×M₁₆	—	13	1	no	—
1005	C₂×C₄×C₈	—	13	1	no	—
1006	C₂²×C₁₃	—	2	1	no	—
1007	C₂²×C₁₃	—	2	1	no	—
1008	C₂²×C₁₃	—	2	1	no	—
1009	C₂²×C₁₃	—	2	1	no	—
1010	C₂²×C₁₃	—	2	1	no	—
1011	C₂²×C₁₃	—	2	1	no	—
1012	C₂²×C₁₃	—	2	1	no	—
1013	C₂²×C₁₃	—	2	1	no	—
1014	C₂²×C₁₃	—	4	1	no	—
1015	C₂²×C₁₃	—	4	1	no	—
1016	C₂²×C₁₃	—	4	1	no	—
1017	C₂²×C₁₃	#575	1	2	yes	—
1018	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1019	C₂×D₁₃	—	2	2	no	—
1020	C₂×D₁₃	—	4	1	no	—
1021	C₂×D₁₃	—	4	1	no	—
1022	C₂×D₁₃	—	4	1	no	—
1023	C₂×D₁₃	—	4	1	no	—
1024	C₂×D₁₃	—	4	1	no	—
1025	C₂×D₁₃	—	4	1	no	—
1026	C₂×D₁₃	—	4	1	no	—
1027	C₂×D₁₃	—	4	1	no	—
1028	C₂×D₁₃	—	8	4	no	—
1029	C₂×D₁₃	—	8	4	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	2	2	no	—
1034	C₄×C₁₃	—	2	1	no	—
1035	C₄×C₁₃	—	2	1	no	—
1036	C₄×C₁₃	—	2	1	no	—
1037	C₄×C₁₃	—	2	1	no	—
1038	C₄×C₁₃	—	2	1	no	—
1039	C₄×C₁₃	—	2	1	no	—
1040	C₄×C₁₃	—	2	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	C₄×C₁₃	—	4	1	no	—
1045	C₄×C₁₃	—	4	1	no	—
1046	C₄×C₁₃	—	4	1	no	—
1047	C₄×C₁₃	#577	1	2	yes	—
1048	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1049	C₄×C₁₃	#585	1	1	yes	characteristic
1050	Dic₁₃	—	4	1	no	—
1051	Dic₁₃	—	4	1	no	—
1052	Dic₁₃	—	4	1	no	—
1053	Dic₁₃	—	4	1	no	—
1054	Dic₁₃	—	4	1	no	—
1055	C₂×#41	—	2	1	no	—
1056	C₂×#41	—	13	1	no	—
1057	C₂×#41	—	26	1	no	—
1058	C₂×#41	C₂²⋊D₁₃	1	1	yes	characteristic
1059	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1060	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1061	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1062	C₂²×D₄	—	13	1	no	—
1063	C₂²×D₄	—	13	1	no	—
1064	C₂²×D₄	—	26	1	no	—
1065	C₂³×C₄	—	26	1	no	—
1066	C₂³×C₄	—	26	1	no	—
1067	#137	—	26	4	no	—
1068	AGL(1,ℤ/8)	—	26	4	no	—
1069	C₂×Q₁₆	—	13	1	no	—
1070	C₂×Q₁₆	—	13	1	no	—
1071	C₂×Q₁₆	—	13	1	no	—
1072	C₂×SD₁₆	—	13	1	no	—
1073	C₂×SD₁₆	—	13	1	no	—
1074	C₂×SD₁₆	—	13	1	no	—
1075	C₂×SD₁₆	—	13	1	no	—
1076	C₂×SD₁₆	—	13	1	no	—
1077	C₂×SD₁₆	—	13	1	no	—
1078	C₂×SD₁₆	—	13	1	no	—
1079	C₂×SD₁₆	—	13	1	no	—
1080	C₂×SD₁₆	—	13	1	no	—
1081	C₂×SD₁₆	—	13	1	no	—
1082	C₂×SD₁₆	—	26	4	no	—
1083	C₂×D₈	—	13	1	no	—
1084	C₂×D₈	—	13	1	no	—
1085	C₂×D₈	—	13	1	no	—
1086	C₂×M₁₆	—	13	1	no	—
1087	C₂×M₁₆	—	13	1	no	—
1088	C₂×M₁₆	—	13	1	no	—
1089	C₂×M₁₆	—	13	1	no	—
1090	C₂²×C₈	—	13	1	no	—
1091	C₂²×C₈	—	13	1	no	—
1092	C₄⋊Q₈	—	2	1	no	—
1093	C₄⋊Q₈	—	2	1	no	—
1094	C₄⋊Q₈	—	13	1	no	—
1095	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1096	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1097	#127	—	13	1	no	—
1098	#126	—	2	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	26	1	no	—
1105	#126	—	26	1	no	—
1106	#126	—	26	1	no	—
1107	#126	—	26	1	no	—
1108	#125	—	2	1	no	—
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	2	1	no	—
1113	#125	—	13	1	no	—
1114	#125	—	13	1	no	—
1115	#125	—	26	1	no	—
1116	#125	C₂²×D₁₃	1	1	yes	characteristic
1117	#125	C₂²×D₁₃	1	1	yes	characteristic
1118	#124	—	2	1	no	—
1119	#124	—	2	1	no	—
1120	#124	—	13	1	no	—
1121	#124	—	13	1	no	—
1122	#124	—	26	1	no	—
1123	#124	—	26	1	no	—
1124	#124	C₂²×D₁₃	1	1	yes	characteristic
1125	#124	C₂²×D₁₃	1	1	yes	characteristic
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	26	1	no	—
1133	#123	—	26	1	no	—
1134	#123	—	26	1	no	—
1135	#123	—	26	1	no	—
1136	#123	—	26	1	no	—
1137	#123	—	26	1	no	—
1138	#123	—	26	1	no	—
1139	#123	—	26	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	13	1	no	—
1148	C₂²⋊Q₈	—	13	1	no	—
1149	C₂²⋊Q₈	—	26	1	no	—
1150	C₂²⋊Q₈	—	26	1	no	—
1151	C₂²⋊Q₈	—	26	1	no	—
1152	C₂²⋊Q₈	—	26	1	no	—
1153	C₂²⋊Q₈	—	26	1	no	—
1154	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	13	1	no	—
1161	#121	—	13	1	no	—
1162	#121	—	13	1	no	—
1163	#121	—	13	1	no	—
1164	#121	—	26	1	no	—
1165	#121	—	26	1	no	—
1166	#121	—	26	1	no	—
1167	#121	—	26	1	no	—
1168	#121	—	26	1	no	—
1169	#121	—	26	1	no	—
1170	#121	C₂²×D₁₃	1	1	yes	characteristic
1171	#121	C₂²×D₁₃	1	1	yes	characteristic
1172	#120	—	26	1	no	—
1173	#120	—	26	1	no	—
1174	#120	—	26	1	no	—
1175	#120	—	26	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	—	2	1	no	—
1178	C₄×Q₈	—	2	1	no	—
1179	C₄×Q₈	—	2	1	no	—
1180	C₄×Q₈	—	2	1	no	—
1181	C₄×Q₈	—	2	1	no	—
1182	C₄×Q₈	—	13	1	no	—
1183	C₄×Q₈	—	13	1	no	—
1184	C₄×Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1185	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1186	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1187	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1188	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1189	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1190	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1191	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1192	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1193	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	13	1	no	—
1202	C₄×D₄	—	13	1	no	—
1203	C₄×D₄	—	13	1	no	—
1204	C₄×D₄	—	13	1	no	—
1205	C₄×D₄	—	13	1	no	—
1206	C₄×D₄	—	13	1	no	—
1207	C₄×D₄	—	13	1	no	—
1208	C₄×D₄	—	13	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	—	26	1	no	—
1219	C₄×D₄	—	26	1	no	—
1220	C₄×D₄	—	26	1	no	—
1221	C₄×D₄	—	26	1	no	—
1222	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1223	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1224	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
1225	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1226	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1227	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1228	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1229	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	—	2	1	no	—
1236	#117	—	2	1	no	—
1237	#117	—	13	1	no	—
1238	#117	—	26	1	no	—
1239	#117	—	26	1	no	—
1240	#117	—	26	1	no	—
1241	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1242	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1243	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1244	#117	C₂²×D₁₃	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	—	2	1	no	—
1246	C₂×C₄⋊C₄	—	2	1	no	—
1247	C₂×C₄⋊C₄	—	13	1	no	—
1248	C₂×C₄⋊C₄	—	13	1	no	—
1249	C₂×C₄⋊C₄	—	26	1	no	—
1250	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1251	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	—	26	1	no	—
1253	C₂×C₂²⋊C₄	—	26	1	no	—
1254	C₂×C₂²⋊C₄	—	26	1	no	—
1255	C₂×C₂²⋊C₄	—	26	1	no	—
1256	C₂×C₄²	—	2	1	no	—
1257	C₂×C₄²	—	2	1	no	—
1258	C₂×C₄²	—	2	1	no	—
1259	C₂×C₄²	—	26	1	no	—
1260	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1261	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1262	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1263	#107	—	13	1	no	—
1264	#107	—	13	1	no	—
1265	#107	—	13	1	no	—
1266	#107	—	13	1	no	—
1267	#107	—	13	1	no	—
1268	#107	—	13	1	no	—
1269	#106	—	13	1	no	—
1270	#106	—	13	1	no	—
1271	#106	—	13	1	no	—
1272	#106	—	13	1	no	—
1273	#106	—	13	1	no	—
1274	#106	—	13	1	no	—
1275	#106	—	13	1	no	—
1276	#106	—	13	1	no	—
1277	#106	—	13	1	no	—
1278	#106	—	13	1	no	—
1279	C₄⋊C₈	—	13	1	no	—
1280	C₄⋊C₈	—	13	1	no	—
1281	C₄⋊C₈	—	13	1	no	—
1282	C₄⋊C₈	—	13	1	no	—
1283	C₄⋊C₈	—	13	1	no	—
1284	C₄⋊C₈	—	13	1	no	—
1285	#103	—	13	1	no	—
1286	#103	—	13	1	no	—
1287	#103	—	13	1	no	—
1288	#103	—	13	1	no	—
1289	#103	—	13	1	no	—
1290	#103	—	13	1	no	—
1291	#103	—	13	1	no	—
1292	#103	—	13	1	no	—
1293	#103	—	13	1	no	—
1294	#103	—	13	1	no	—
1295	#103	—	13	1	no	—
1296	#103	—	13	1	no	—
1297	#103	—	13	1	no	—
1298	#103	—	13	1	no	—
1299	#103	—	13	1	no	—
1300	#103	—	13	1	no	—
1301	#102	—	13	1	no	—
1302	#102	—	13	1	no	—
1303	#102	—	13	1	no	—
1304	#102	—	13	1	no	—
1305	#102	—	13	1	no	—
1306	#102	—	13	1	no	—
1307	#102	—	13	1	no	—
1308	#102	—	13	1	no	—
1309	#102	—	13	1	no	—
1310	#102	—	13	1	no	—
1311	#102	—	13	1	no	—
1312	#102	—	13	1	no	—
1313	#102	—	13	1	no	—
1314	#102	—	13	1	no	—
1315	#102	—	13	1	no	—
1316	#102	—	13	1	no	—
1317	C₂²⋊C₈	—	13	1	no	—
1318	C₂²⋊C₈	—	13	1	no	—
1319	C₂²⋊C₈	—	13	1	no	—
1320	C₂²⋊C₈	—	13	1	no	—
1321	C₂²⋊C₈	—	13	1	no	—
1322	C₂²⋊C₈	—	13	1	no	—
1323	#97	—	13	1	no	—
1324	#97	—	13	1	no	—
1325	#97	—	13	1	no	—
1326	#97	—	13	1	no	—
1327	C₄×C₈	—	13	1	no	—
1328	C₄×C₈	—	13	1	no	—
1329	C₄×C₈	—	13	1	no	—
1330	C₄×C₈	—	13	1	no	—
1331	C₄×C₈	—	13	1	no	—
1332	C₄×C₈	—	13	1	no	—
1333	C₂×C₁₃	—	2	2	no	—
1334	C₂×C₁₃	—	4	1	no	—
1335	C₂×C₁₃	—	4	1	no	—
1336	C₂×C₁₃	—	8	1	no	—
1337	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1338	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1339	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1340	D₁₃	—	4	2	no	—
1341	D₁₃	—	8	1	no	—
1342	D₁₃	—	8	1	no	—
1343	C₂⁴	—	26	1	no	—
1344	C₂⁴	—	26	1	no	—
1345	#41	—	2	2	no	—
1346	#41	—	4	2	no	—
1347	#41	—	4	1	no	—
1348	#41	—	4	4	no	—
1349	#41	—	26	2	no	—
1350	#41	—	52	1	no	—
1351	#41	—	104	2	no	—
1352	C₂×Q₈	—	2	1	no	—
1353	C₂×Q₈	—	2	1	no	—
1354	C₂×Q₈	—	2	1	no	—
1355	C₂×Q₈	—	2	2	no	—
1356	C₂×Q₈	—	2	2	no	—
1357	C₂×Q₈	—	4	1	no	—
1358	C₂×Q₈	—	4	1	no	—
1359	C₂×Q₈	—	13	1	no	—
1360	C₂×Q₈	—	26	1	no	—
1361	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1362	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1363	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1364	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	13	1	no	—
1369	C₂×D₄	—	13	1	no	—
1370	C₂×D₄	—	13	1	no	—
1371	C₂×D₄	—	26	2	no	—
1372	C₂×D₄	—	26	2	no	—
1373	C₂×D₄	—	26	1	no	—
1374	C₂×D₄	—	26	1	no	—
1375	C₂×D₄	—	26	1	no	—
1376	C₂×D₄	—	26	1	no	—
1377	C₂×D₄	—	26	1	no	—
1378	C₂×D₄	—	26	1	no	—
1379	C₂×D₄	—	26	1	no	—
1380	C₂×D₄	—	26	1	no	—
1381	C₂×D₄	—	26	1	no	—
1382	C₂×D₄	—	52	1	no	—
1383	C₂×D₄	—	52	1	no	—
1384	C₂×D₄	—	52	4	no	—
1385	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1386	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1387	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1388	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	26	1	no	—
1397	C₂²×C₄	—	26	1	no	—
1398	C₂²×C₄	—	26	1	no	—
1399	C₂²×C₄	—	26	1	no	—
1400	C₂²×C₄	—	26	1	no	—
1401	C₂²×C₄	—	26	1	no	—
1402	C₂²×C₄	—	26	1	no	—
1403	C₂²×C₄	—	26	1	no	—
1404	C₂²×C₄	—	26	1	no	—
1405	C₂²×C₄	—	26	1	no	—
1406	C₂²×C₄	—	26	1	no	—
1407	C₂²×C₄	—	104	2	no	—
1408	C₂²×C₄	—	104	2	no	—
1409	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1410	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1411	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1412	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1413	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1414	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1415	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1416	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1417	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1418	Q₁₆	—	26	2	no	—
1419	Q₁₆	—	26	2	no	—
1420	Q₁₆	—	52	1	no	—
1421	SD₁₆	—	13	4	no	—
1422	SD₁₆	—	26	2	no	—
1423	SD₁₆	—	26	2	no	—
1424	SD₁₆	—	26	2	no	—
1425	SD₁₆	—	26	2	no	—
1426	SD₁₆	—	26	2	no	—
1427	SD₁₆	—	52	1	no	—
1428	SD₁₆	—	52	1	no	—
1429	SD₁₆	—	52	1	no	—
1430	SD₁₆	—	52	1	no	—
1431	D₈	—	26	2	no	—
1432	D₈	—	26	2	no	—
1433	D₈	—	52	1	no	—
1434	M₁₆	—	26	2	no	—
1435	M₁₆	—	26	2	no	—
1436	M₁₆	—	52	1	no	—
1437	M₁₆	—	52	1	no	—
1438	C₂×C₈	—	13	1	no	—
1439	C₂×C₈	—	13	1	no	—
1440	C₂×C₈	—	13	1	no	—
1441	C₂×C₈	—	13	1	no	—
1442	C₂×C₈	—	13	1	no	—
1443	C₂×C₈	—	13	1	no	—
1444	C₂×C₈	—	13	1	no	—
1445	C₂×C₈	—	13	1	no	—
1446	C₂×C₈	—	26	2	no	—
1447	C₂×C₈	—	52	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	13	1	no	—
1470	C₄⋊C₄	—	13	1	no	—
1471	C₄⋊C₄	—	13	1	no	—
1472	C₄⋊C₄	—	13	1	no	—
1473	C₄⋊C₄	—	26	1	no	—
1474	C₄⋊C₄	—	26	1	no	—
1475	C₄⋊C₄	—	26	1	no	—
1476	C₄⋊C₄	—	26	1	no	—
1477	C₄⋊C₄	—	26	1	no	—
1478	C₄⋊C₄	—	26	1	no	—
1479	C₄⋊C₄	—	26	1	no	—
1480	C₄⋊C₄	—	26	1	no	—
1481	C₄⋊C₄	—	26	1	no	—
1482	C₄⋊C₄	—	26	1	no	—
1483	C₄⋊C₄	—	26	1	no	—
1484	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1485	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1486	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1487	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1490	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	26	1	no	—
1508	C₂²⋊C₄	—	26	1	no	—
1509	C₂²⋊C₄	—	26	1	no	—
1510	C₂²⋊C₄	—	26	1	no	—
1511	C₂²⋊C₄	—	26	1	no	—
1512	C₂²⋊C₄	—	26	1	no	—
1513	C₂²⋊C₄	—	26	1	no	—
1514	C₂²⋊C₄	—	26	1	no	—
1515	C₂²⋊C₄	—	26	1	no	—
1516	C₂²⋊C₄	—	26	1	no	—
1517	C₂²⋊C₄	—	26	1	no	—
1518	C₂²⋊C₄	—	26	1	no	—
1519	C₂²⋊C₄	—	26	1	no	—
1520	C₂²⋊C₄	—	26	1	no	—
1521	C₂²⋊C₄	—	26	1	no	—
1522	C₂²⋊C₄	—	26	1	no	—
1523	C₂²⋊C₄	—	26	1	no	—
1524	C₂²⋊C₄	—	26	1	no	—
1525	C₂²⋊C₄	—	26	1	no	—
1526	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	2	1	no	—
1541	C₄²	—	26	1	no	—
1542	C₄²	—	26	1	no	—
1543	C₄²	—	26	1	no	—
1544	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1545	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1546	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1547	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1548	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1549	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1550	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1551	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1552	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1553	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1554	C₁₃	#61445	1	1	yes	characteristic, complemented, Sylow
1555	C₂³	—	2	1	no	—
1556	C₂³	—	26	1	no	—
1557	C₂³	—	26	1	no	—
1558	C₂³	—	26	1	no	—
1559	C₂³	—	52	2	no	—
1560	C₂³	—	52	2	no	—
1561	C₂³	—	52	2	no	—
1562	C₂³	—	52	2	no	—
1563	C₂³	—	104	1	no	—
1564	C₂³	—	104	1	no	—
1565	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1566	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1567	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	4	1	no	—
1574	Q₈	—	4	2	no	—
1575	Q₈	—	4	2	no	—
1576	Q₈	—	4	2	no	—
1577	Q₈	—	26	1	no	—
1578	Q₈	—	26	1	no	—
1579	Q₈	—	104	1	no	—
1580	Q₈	#41×D₁₃	1	2	yes	—
1581	D₄	—	2	2	no	—
1582	D₄	—	2	2	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	2	1	no	—
1585	D₄	—	4	1	no	—
1586	D₄	—	4	2	no	—
1587	D₄	—	4	2	no	—
1588	D₄	—	4	2	no	—
1589	D₄	—	13	2	no	—
1590	D₄	—	26	1	no	—
1591	D₄	—	26	1	no	—
1592	D₄	—	26	1	no	—
1593	D₄	—	26	1	no	—
1594	D₄	—	26	1	no	—
1595	D₄	—	52	2	no	—
1596	D₄	—	52	2	no	—
1597	D₄	—	52	2	no	—
1598	D₄	—	52	2	no	—
1599	D₄	—	52	2	no	—
1600	D₄	—	52	2	no	—
1601	D₄	—	104	1	no	—
1602	D₄	—	104	1	no	—
1603	D₄	—	104	1	no	—
1604	C₂×C₄	—	2	2	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	2	no	—
1607	C₂×C₄	—	2	2	no	—
1608	C₂×C₄	—	2	2	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	4	1	no	—
1622	C₂×C₄	—	4	1	no	—
1623	C₂×C₄	—	4	2	no	—
1624	C₂×C₄	—	4	2	no	—
1625	C₂×C₄	—	4	2	no	—
1626	C₂×C₄	—	4	2	no	—
1627	C₂×C₄	—	4	2	no	—
1628	C₂×C₄	—	4	2	no	—
1629	C₂×C₄	—	4	2	no	—
1630	C₂×C₄	—	26	1	no	—
1631	C₂×C₄	—	26	1	no	—
1632	C₂×C₄	—	26	1	no	—
1633	C₂×C₄	—	26	1	no	—
1634	C₂×C₄	—	26	1	no	—
1635	C₂×C₄	—	52	2	no	—
1636	C₂×C₄	—	52	2	no	—
1637	C₂×C₄	—	52	2	no	—
1638	C₂×C₄	—	52	2	no	—
1639	C₂×C₄	—	52	2	no	—
1640	C₂×C₄	—	104	1	no	—
1641	C₂×C₄	—	104	1	no	—
1642	C₂×C₄	—	104	1	no	—
1643	C₂×C₄	—	104	1	no	—
1644	C₂×C₄	—	104	1	no	—
1645	C₂×C₄	—	104	1	no	—
1646	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1647	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1648	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1649	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1650	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1651	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1652	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1653	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1654	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1655	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1656	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1657	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1658	C₈	—	13	2	no	—
1659	C₈	—	26	1	no	—
1660	C₈	—	26	1	no	—
1661	C₈	—	26	1	no	—
1662	C₈	—	26	1	no	—
1663	C₈	—	26	1	no	—
1664	C₈	—	26	1	no	—
1665	C₈	—	26	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	26	2	no	—
1678	C₂²	—	52	1	no	—
1679	C₂²	—	52	1	no	—
1680	C₂²	—	52	1	no	—
1681	C₂²	—	52	1	no	—
1682	C₂²	—	52	1	no	—
1683	C₂²	—	52	1	no	—
1684	C₂²	—	52	1	no	—
1685	C₂²	—	52	1	no	—
1686	C₂²	—	104	4	no	—
1687	C₂²	—	104	4	no	—
1688	C₂²	#11719527	1	2	yes	—
1689	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	2	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	52	1	no	—
1708	C₄	—	52	1	no	—
1709	C₄	—	52	1	no	—
1710	C₄	—	52	1	no	—
1711	C₄	—	52	1	no	—
1712	C₄	#11719542	1	2	yes	—
1713	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1714	C₄	#11719648	1	1	yes	characteristic
1715	C₂	—	2	2	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	8	1	no	—
1719	C₂	—	52	2	no	—
1720	C₂	—	104	1	no	—
1721	C₂	—	104	1	no	—
1722	C₂	#41×C₂²⋊D₁₃	1	1	yes	characteristic
1723	C₂	C₂×#11719527	1	1	yes	characteristic
1724	C₂	C₂×#11719542	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3482	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3482	D₁₃
hypocenter	C₁₃	#61445
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #3482

Complements

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

N	H ≅ G/N	type
1. #13128446	C₂	semidirect
2. #13127902	C₂	semidirect
3. #13127775	C₂	semidirect
4. #13127657	C₂	semidirect
5. #13127604	C₂	semidirect
6. #13127396	C₂	semidirect
7. #13127306	C₂	semidirect
8. #13127291	C₂	semidirect
9. #13127089	C₂	semidirect
10. #13127046	C₂	semidirect
11. #13127007	C₂	semidirect
12. #13126947	C₂	semidirect
13. #13126851	C₂	semidirect
14. #13126791	C₂	semidirect
15. #13126468	C₂	semidirect
16. #13126347	C₂	semidirect
17. #13126332	C₂	semidirect
18. #13125436	C₂	semidirect
19. #13125432	C₂	semidirect
20. #13125400	C₂	semidirect
21. #13124916	C₂	semidirect
22. #13124879	C₂	semidirect
23. #13124867	C₂	semidirect
24. #13124854	C₂	semidirect
25. #13124848	C₂	semidirect
26. #13124840	C₂	semidirect
27. #13123803	C₂	semidirect
28. C₄×#88196	C₂	semidirect
29. C₄×#88203	C₂	semidirect
30. C₂×C₄×#6106	C₂	semidirect
31. C₁₃×#3482	C₂	semidirect
32. C₁₃×#557	C₂²	semidirect
34. C₁₃×#556	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
39. D₄×Q₈×C₁₃	C₂²	semidirect
41. C₁₃×#548	C₂²	semidirect
43. C₁₃×#547	C₂²	semidirect
45. C₁₃×#533	C₂²	semidirect
48. C₁₃×#529	C₂²	semidirect
49. C₁₃×#529	C₂²	semidirect
52. C₄×C₁₃×#41	C₂²	semidirect
53. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
54. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
80. #11718900	C₂²	semidirect
82. #11718893	C₂²	semidirect
83. #11718889	C₂²	semidirect
85. #11718888	C₂²	semidirect
86. #11718888	C₂²	semidirect
87. #11718886	C₂²	semidirect
88. C₂×#88075	C₂²	semidirect
89. #11718750	C₂²	semidirect
90. #11718747	C₂²	semidirect
92. #11718745	C₂²	semidirect
94. #11718744	C₂²	semidirect
95. #11718743	C₂²	semidirect
96. #11718741	C₂²	semidirect
97. #11718729	C₂²	semidirect
101. #11718727	C₂²	semidirect
102. #11718726	C₂²	semidirect
103. #11718725	C₂²	semidirect
104. #11718724	C₂²	semidirect
105. #11718720	C₂²	semidirect
109. #11718718	C₂²	semidirect
110. #11718717	C₂²	semidirect
111. #11718716	C₂²	semidirect
112. #11718715	C₂²	semidirect
113. #11718713	C₂²	semidirect
114. #11718713	C₂²	semidirect
115. #11718712	C₂²	semidirect
118. #11718710	C₂²	semidirect
119. #11718710	C₂²	semidirect
125. #11718706	C₂²	semidirect
126. #11718705	C₂²	semidirect
127. #11718704	C₂²	semidirect
128. #11718704	C₂²	semidirect
129. #11718702	C₂²	semidirect
130. #11718700	C₂²	semidirect
131. #11718700	C₂²	semidirect
135. #11718696	C₂²	semidirect
136. #11718695	C₂²	semidirect
137. #11718691	C₂²	semidirect
138. #11718691	C₂²	semidirect
139. C₄×#6107	C₂²	semidirect
140. C₄×#6107	C₂²	semidirect
141. C₄×#6107	C₂²	semidirect
142. #11718689	C₂²	semidirect
143. #11718689	C₂²	semidirect
144. #11718689	C₂²	semidirect
150. #11718687	C₂²	semidirect
156. C₄×#6106	C₂²	semidirect
157. C₄×#6106	C₂²	semidirect
158. C₄×#6106	C₂²	semidirect
159. C₄×#6106	C₂²	semidirect
160. C₄×#6106	C₂²	semidirect
161. C₄×#6106	C₂²	semidirect
162. C₄×#6106	C₂²	semidirect
163. C₄×#6106	C₂²	semidirect
164. #11718685	C₂²	semidirect
165. #11718685	C₂²	semidirect
166. #11718683	C₂²	semidirect
167. #11718683	C₂²	semidirect
168. #11718683	C₂²	semidirect
169. #11718681	C₂²	semidirect
170. #11718681	C₂²	semidirect
171. C₄×#6105	C₂²	semidirect
172. #11718677	C₂²	semidirect
174. #11718675	C₂²	semidirect
176. C₄×#6104	C₂²	semidirect
177. C₄×#6104	C₂²	semidirect
178. #11718673	C₂²	semidirect
179. #11718673	C₂²	semidirect
182. #11718672	C₂²	semidirect
183. #11718672	C₂²	semidirect
184. #11718670	C₂²	semidirect
187. #11718657	C₂²	semidirect
188. #11718656	C₂²	semidirect
189. #11718632	C₂²	semidirect
190. #11718629	C₂²	semidirect
191. #11718629	C₂²	semidirect
195. #11718625	C₂²	semidirect
196. C₂×#88048	C₂²	semidirect
197. #11718586	C₂²	semidirect
198. #11718586	C₂²	semidirect
199. #11718586	C₂²	semidirect
200. C₄×#6099	C₂²	semidirect
201. C₄×#6099	C₂²	semidirect
202. C₂×C₄×#1055	C₂²	semidirect
640. #6106	#41	semidirect
693. #3482	D₁₃	semidirect
839. #557	C₂×D₁₃	semidirect
841. #556	C₂×D₁₃	semidirect
850. #552	C₂×D₁₃	semidirect
853. D₄×Q₈	C₂×D₁₃	semidirect
855. #548	C₂×D₁₃	semidirect
857. #547	C₂×D₁₃	semidirect
863. #533	C₂×D₁₃	semidirect
870. #529	C₂×D₁₃	semidirect
871. #529	C₂×D₁₃	semidirect
877. C₄×#41	C₂×D₁₃	semidirect
878. C₂×C₄×Q₈	C₂×D₁₃	semidirect
879. C₂×C₄×Q₈	C₂×D₁₃	semidirect
1554. C₁₃	#61445	semidirect

Maximal subgroups

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

subgroup	index
#13128446	2
#13127902	2
#13127775	2
#13127657	2
#13127604	2
#13127396	2
#13127306	2
#13127291	2
#13127089	2
#13127046	2
#13127007	2
#13126947	2
#13126851	2
#13126791	2
#13126468	2
#13126347	2
#13126332	2
#13125436	2
#13125432	2
#13125400	2
#13124916	2
#13124879	2
#13124867	2
#13124854	2
#13124848	2
#13124840	2
#13123803	2
C₄×#88196	2
C₄×#88203	2
C₂×C₄×#6106	2
C₁₃×#3482	2
#61445	13