Subgroups — #16756609

Order 3328.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128908	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127911	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127852	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127657	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127539	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126932	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126872	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126857	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126842	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126775	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126686	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126566	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126517	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126377	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126362	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126357	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126312	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126301	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126262	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126156	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125930	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125908	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125873	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125092	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125014	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124981	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124371	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124335	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124285	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123975	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#560	—	2	1	no	—
33	C₁₃×#560	—	2	1	no	—
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#550	C₂²	1	1	yes	characteristic
37	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#547	C₂²	1	1	yes	characteristic
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#542	C₂²	1	1	yes	characteristic
45	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#538	—	2	1	no	—
47	C₁₃×#538	—	2	1	no	—
48	C₁₃×#537	—	2	1	no	—
49	C₁₃×#535	—	2	1	no	—
50	C₁₃×#535	C₂²	1	1	yes	characteristic
51	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#529	C₂²	1	1	yes	characteristic
55	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
57	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88186	C₂²	1	1	yes	characteristic
60	C₂²×#6104	C₂²	1	1	yes	characteristic
61	#11719411	—	2	1	no	—
62	D₁₃×#126	—	2	1	no	—
63	#11719398	—	2	1	no	—
64	#11719384	—	2	1	no	—
65	#11719366	—	2	1	no	—
66	#11719364	—	2	1	no	—
67	#11719343	—	2	1	no	—
68	#11719318	—	2	1	no	—
69	#11719289	C₂²	1	1	yes	characteristic, complemented
70	#11719284	C₂²	1	1	yes	characteristic, complemented
71	#11719270	C₂²	1	1	yes	characteristic, complemented
72	#11719256	C₂²	1	1	yes	characteristic, complemented
73	#11719255	C₂²	1	1	yes	characteristic
74	#11719255	C₂²	1	1	yes	characteristic, complemented
75	#11719247	C₂²	1	1	yes	characteristic, complemented
76	#11719246	C₂²	1	1	yes	characteristic
77	#11719239	C₂²	1	1	yes	characteristic, complemented
78	#11719228	C₂²	1	1	yes	characteristic, complemented
79	#11719226	C₂²	1	1	yes	characteristic, complemented
80	#11719223	C₂²	1	1	yes	characteristic, complemented
81	#11719184	C₂²	1	1	yes	characteristic, complemented
82	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
83	#11718900	C₂²	1	1	yes	characteristic, complemented
84	#11718900	C₂²	1	1	yes	characteristic, complemented
85	#11718900	C₂²	1	1	yes	characteristic, complemented
86	#11718900	C₂²	1	1	yes	characteristic, complemented
87	#11718900	C₂²	1	1	yes	characteristic, complemented
88	#11718899	C₂²	1	1	yes	characteristic, complemented
89	#11718899	C₂²	1	1	yes	characteristic, complemented
90	#11718899	C₂²	1	1	yes	characteristic, complemented
91	#11718894	C₂²	1	1	yes	characteristic, complemented
92	#11718894	C₂²	1	1	yes	characteristic, complemented
93	#11718894	C₂²	1	1	yes	characteristic, complemented
94	#11718893	C₂²	1	1	yes	characteristic, complemented
95	#11718879	C₂²	1	1	yes	characteristic
96	#11718879	C₂²	1	1	yes	characteristic
97	#11718879	C₂²	1	1	yes	characteristic, complemented
98	#11718878	C₂²	1	1	yes	characteristic
99	#11718876	C₂²	1	1	yes	characteristic
100	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
101	#11718755	C₂²	1	1	yes	characteristic, complemented
102	#11718752	C₂²	1	1	yes	characteristic, complemented
103	#11718751	C₂²	1	1	yes	characteristic, complemented
104	#11718748	C₂²	1	1	yes	characteristic, complemented
105	#11718747	C₂²	1	1	yes	characteristic, complemented
106	#11718745	C₂²	1	1	yes	characteristic, complemented
107	#11718744	C₂²	1	1	yes	characteristic, complemented
108	#11718743	C₂²	1	1	yes	characteristic, complemented
109	#11718737	C₂²	1	1	yes	characteristic, complemented
110	#11718736	C₂²	1	1	yes	characteristic, complemented
111	#11718736	C₂²	1	1	yes	characteristic, complemented
112	#11718736	C₂²	1	1	yes	characteristic, complemented
113	#11718736	C₂²	1	1	yes	characteristic, complemented
114	#11718735	C₂²	1	1	yes	characteristic
115	#11718735	C₂²	1	1	yes	characteristic, complemented
116	#11718733	C₂²	1	1	yes	characteristic
117	#11718733	C₂²	1	1	yes	characteristic
118	#11718733	C₂²	1	1	yes	characteristic
119	#11718733	C₂²	1	1	yes	characteristic, complemented
120	#11718733	C₂²	1	1	yes	characteristic, complemented
121	#11718733	C₂²	1	1	yes	characteristic, complemented
122	#11718732	C₂²	1	1	yes	characteristic, complemented
123	#11718732	C₂²	1	1	yes	characteristic, complemented
124	#11718731	C₂²	1	1	yes	characteristic, complemented
125	#11718721	C₂²	1	1	yes	characteristic, complemented
126	#11718720	C₂²	1	1	yes	characteristic
127	#11718718	C₂²	1	1	yes	characteristic
128	#11718718	C₂²	1	1	yes	characteristic
129	#11718718	C₂²	1	1	yes	characteristic
130	#11718718	C₂²	1	1	yes	characteristic, complemented
131	#11718718	C₂²	1	1	yes	characteristic, complemented
132	#11718718	C₂²	1	1	yes	characteristic, complemented
133	#11718718	C₂²	1	1	yes	characteristic, complemented
134	#11718717	C₂²	1	1	yes	characteristic, complemented
135	#11718716	C₂²	1	1	yes	characteristic, complemented
136	#11718715	C₂²	1	1	yes	characteristic, complemented
137	#11718715	C₂²	1	1	yes	characteristic, complemented
138	#11718715	C₂²	1	1	yes	characteristic, complemented
139	#11718715	C₂²	1	1	yes	characteristic, complemented
140	#11718715	C₂²	1	1	yes	characteristic, complemented
141	#11718713	C₂²	1	1	yes	characteristic, complemented
142	#11718713	C₂²	1	1	yes	characteristic, complemented
143	#11718712	C₂²	1	1	yes	characteristic, complemented
144	#11718709	C₂²	1	1	yes	characteristic, complemented
145	#11718708	C₂²	1	1	yes	characteristic, complemented
146	#11718707	C₂²	1	1	yes	characteristic, complemented
147	#11718706	C₂²	1	1	yes	characteristic, complemented
148	#11718705	C₂²	1	1	yes	characteristic, complemented
149	#11718703	C₂²	1	1	yes	characteristic
150	#11718702	C₂²	1	1	yes	characteristic
151	#11718702	C₂²	1	1	yes	characteristic, complemented
152	#11718702	C₂²	1	1	yes	characteristic, complemented
153	#11718702	C₂²	1	1	yes	characteristic, complemented
154	#11718700	C₂²	1	1	yes	characteristic
155	#11718699	C₂²	1	1	yes	characteristic
156	#11718699	C₂²	1	1	yes	characteristic, complemented
157	#11718698	C₂²	1	1	yes	characteristic
158	#11718698	C₂²	1	1	yes	characteristic
159	#11718698	C₂²	1	1	yes	characteristic, complemented
160	#11718697	C₂²	1	1	yes	characteristic
161	#11718696	C₂²	1	1	yes	characteristic
162	#11718696	C₂²	1	1	yes	characteristic, complemented
163	#11718696	C₂²	1	1	yes	characteristic, complemented
164	#11718694	C₂²	1	1	yes	characteristic, complemented
165	#11718692	C₂²	1	1	yes	characteristic, complemented
166	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
167	#11718689	C₂²	1	1	yes	characteristic, complemented
168	#11718687	C₂²	1	1	yes	characteristic, complemented
169	#11718687	C₂²	1	1	yes	characteristic, complemented
170	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
171	#11718685	C₂²	1	1	yes	characteristic, complemented
172	#11718685	C₂²	1	1	yes	characteristic, complemented
173	#11718683	C₂²	1	1	yes	characteristic, complemented
174	#11718681	C₂²	1	1	yes	characteristic, complemented
175	#11718680	C₂²	1	1	yes	characteristic, complemented
176	#11718679	C₂²	1	1	yes	characteristic, complemented
177	#11718679	C₂²	1	1	yes	characteristic, complemented
178	#11718679	C₂²	1	1	yes	characteristic, complemented
179	#11718677	C₂²	1	1	yes	characteristic
180	#11718677	C₂²	1	1	yes	characteristic, complemented
181	#11718677	C₂²	1	1	yes	characteristic, complemented
182	#11718675	C₂²	1	1	yes	characteristic
183	#11718675	C₂²	1	1	yes	characteristic, complemented
184	#11718675	C₂²	1	1	yes	characteristic, complemented
185	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
186	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
187	#11718672	C₂²	1	1	yes	characteristic
188	#11718672	C₂²	1	1	yes	characteristic
189	#11718672	C₂²	1	1	yes	characteristic, complemented
190	#11718672	C₂²	1	1	yes	characteristic, complemented
191	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
192	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
193	#11718670	C₂²	1	1	yes	characteristic, complemented
194	#11718670	C₂²	1	1	yes	characteristic, complemented
195	#11718670	C₂²	1	1	yes	characteristic, complemented
196	#11718669	C₂²	1	1	yes	characteristic, complemented
197	#11718661	C₂²	1	1	yes	characteristic, complemented
198	#11718661	C₂²	1	1	yes	characteristic, complemented
199	#11718660	C₂²	1	1	yes	characteristic, complemented
200	#11718660	C₂²	1	1	yes	characteristic, complemented
201	#11718587	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	—	2	1	no	—
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₁₃	—	2	1	no	—
210	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×#6127	C₂³	1	1	yes	characteristic
213	C₂×#6127	C₂³	1	1	yes	characteristic
214	C₂²×D₅₂	C₂³	1	1	yes	characteristic
215	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₃×#127	—	2	1	no	—
218	C₁₃×#127	—	2	1	no	—
219	C₁₃×#127	C₂³	1	1	yes	characteristic
220	C₁₃×#127	C₂³	1	1	yes	characteristic
221	C₁₃×#127	C₂³	1	1	yes	characteristic
222	C₁₃×#127	C₂³	1	1	yes	characteristic
223	C₁₃×#126	—	2	1	no	—
224	C₁₃×#126	—	2	1	no	—
225	C₁₃×#126	—	2	1	no	—
226	C₁₃×#126	—	2	1	no	—
227	C₁₃×#126	D₄	1	1	yes	characteristic
228	C₁₃×#126	D₄	1	1	yes	characteristic
229	C₁₃×#125	D₄	1	1	yes	characteristic
230	C₁₃×#124	—	2	1	no	—
231	C₁₃×#124	—	2	1	no	—
232	C₁₃×#124	—	2	1	no	—
233	C₁₃×#124	D₄	1	1	yes	characteristic
234	C₁₃×#124	C₂³	1	1	yes	characteristic
235	C₁₃×#124	C₂³	1	1	yes	characteristic
236	C₁₃×#124	C₂³	1	1	yes	characteristic
237	C₁₃×#124	C₂³	1	1	yes	characteristic
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×#123	—	2	1	no	—
243	C₁₃×#123	—	2	1	no	—
244	C₁₃×#123	D₄	1	1	yes	characteristic
245	C₁₃×#123	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
250	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₁₃×#121	—	2	1	no	—
253	C₁₃×#121	—	2	1	no	—
254	C₁₃×#121	—	2	1	no	—
255	C₁₃×#121	—	2	1	no	—
256	C₁₃×#121	—	2	1	no	—
257	C₁₃×#121	—	2	1	no	—
258	C₁₃×#121	—	2	1	no	—
259	C₁₃×#121	—	2	1	no	—
260	C₁₃×#121	—	2	1	no	—
261	C₁₃×#121	—	2	1	no	—
262	C₁₃×#121	—	2	1	no	—
263	C₁₃×#121	—	2	1	no	—
264	C₁₃×#121	—	2	1	no	—
265	C₁₃×#121	—	2	1	no	—
266	C₁₃×#121	—	2	1	no	—
267	C₁₃×#121	—	2	1	no	—
268	C₁₃×#121	—	2	1	no	—
269	C₁₃×#121	—	2	1	no	—
270	C₁₃×#121	D₄	1	1	yes	characteristic
271	C₁₃×#121	C₂³	1	1	yes	characteristic
272	C₁₃×#121	C₂³	1	1	yes	characteristic
273	C₁₃×#121	C₂³	1	1	yes	characteristic
274	C₁₃×#121	C₂³	1	1	yes	characteristic
275	C₁₃×#120	—	2	1	no	—
276	C₁₃×#120	—	2	1	no	—
277	C₁₃×#120	—	2	1	no	—
278	C₁₃×#120	—	2	1	no	—
279	C₁₃×#120	—	2	1	no	—
280	C₁₃×#120	—	2	1	no	—
281	C₁₃×#120	—	2	1	no	—
282	C₁₃×#120	—	2	1	no	—
283	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	—	2	1	no	—
287	C₄×D₄×C₁₃	—	2	1	no	—
288	C₄×D₄×C₁₃	—	2	1	no	—
289	C₄×D₄×C₁₃	—	2	1	no	—
290	C₄×D₄×C₁₃	—	2	1	no	—
291	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
295	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
296	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
297	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
298	C₁₃×#117	—	2	1	no	—
299	C₁₃×#117	C₂³	1	1	yes	characteristic
300	C₁₃×#117	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
302	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
303	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
304	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
305	#88204	—	4	2	no	—
306	#88204	—	4	2	no	—
307	#88204	—	4	2	no	—
308	#88203	—	4	2	no	—
309	#88200	—	2	1	no	—
310	#88200	—	2	1	no	—
311	C₂×#6107	C₂³	1	1	yes	characteristic
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	C₂×#6106	C₂³	1	1	yes	characteristic
316	C₂×#6106	C₂³	1	1	yes	characteristic
317	C₂×#6106	C₂³	1	1	yes	characteristic
318	C₂×#6106	C₂³	1	1	yes	characteristic
319	#88193	—	2	1	no	—
320	#88192	—	2	1	no	—
321	#88191	—	2	1	no	—
322	#88191	—	2	1	no	—
323	#88190	—	2	1	no	—
324	#88189	—	2	1	no	—
325	C₂×#6105	C₂³	1	1	yes	characteristic
326	C₂×#6105	C₂³	1	1	yes	characteristic
327	C₂×#6105	C₂³	1	1	yes	characteristic
328	C₂×#6105	C₂³	1	1	yes	characteristic
329	C₂×#6105	C₂³	1	1	yes	characteristic
330	C₂×#6105	C₂³	1	1	yes	characteristic
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	#88186	—	4	2	no	—
334	C₂×#6104	—	4	2	no	—
335	C₂×#6104	C₂³	1	1	yes	characteristic
336	C₂×#6104	C₂³	1	1	yes	characteristic
337	C₂×#6104	C₂³	1	1	yes	characteristic
338	C₂×#6104	C₂³	1	1	yes	characteristic
339	C₂×#6104	C₂³	1	1	yes	characteristic
340	C₂×#6104	C₂³	1	1	yes	characteristic
341	C₂×#6104	C₂³	1	1	yes	characteristic
342	C₂×#6104	C₂³	1	1	yes	characteristic
343	#88184	C₂³	1	1	yes	characteristic
344	#88184	C₂³	1	1	yes	characteristic
345	#88183	—	2	1	no	—
346	C₄×C₂²⋊D₁₃	—	2	1	no	—
347	C₄×C₂²⋊D₁₃	—	2	1	no	—
348	C₄×C₂²⋊D₁₃	—	2	1	no	—
349	#88180	C₂³	1	1	yes	characteristic
350	#88180	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
352	#88178	C₂³	1	1	yes	characteristic
353	#88178	C₂³	1	1	yes	characteristic
354	#88178	C₂³	1	1	yes	characteristic
355	#88178	C₂³	1	1	yes	characteristic
356	C₂×#6099	C₂³	1	1	yes	characteristic
357	C₂×#6099	C₂³	1	1	yes	characteristic
358	C₂²×#1055	C₂³	1	1	yes	characteristic
359	C₂²×#1055	C₂³	1	1	yes	characteristic
360	C₂²×#1055	C₂³	1	1	yes	characteristic
361	C₂²×#1055	C₂³	1	1	yes	characteristic
362	#88152	—	2	1	no	—
363	#88152	—	2	1	no	—
364	#88152	—	2	1	no	—
365	#88152	—	2	1	no	—
366	#88150	—	2	1	no	—
367	#88150	—	2	1	no	—
368	#88150	—	2	1	no	—
369	#88148	—	2	1	no	—
370	#88148	—	2	1	no	—
371	#88147	—	2	1	no	—
372	#88147	—	2	1	no	—
373	#88146	—	2	1	no	—
374	#88146	—	2	1	no	—
375	C₄⋊C₄×D₁₃	—	2	1	no	—
376	C₄⋊C₄×D₁₃	—	2	1	no	—
377	C₄⋊C₄×D₁₃	—	2	1	no	—
378	#88143	—	2	1	no	—
379	#88143	—	2	1	no	—
380	#88143	—	2	1	no	—
381	#88141	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88138	—	2	1	no	—
385	#88137	—	2	1	no	—
386	#88137	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88137	—	2	1	no	—
389	#88135	—	2	1	no	—
390	#88135	—	2	1	no	—
391	#88135	—	2	1	no	—
392	C₂²⋊C₄×D₁₃	—	2	1	no	—
393	C₂²⋊C₄×D₁₃	—	2	1	no	—
394	C₂²⋊C₄×D₁₃	—	2	1	no	—
395	C₂²⋊C₄×D₁₃	—	2	1	no	—
396	#88133	—	2	1	no	—
397	#88133	—	2	1	no	—
398	#88133	—	2	1	no	—
399	#88133	—	2	1	no	—
400	#88133	—	2	1	no	—
401	#88131	—	2	1	no	—
402	#88130	—	2	1	no	—
403	#88129	C₂³	1	1	yes	characteristic
404	#88129	C₂³	1	1	yes	characteristic
405	C₄×D₅₂	C₂³	1	1	yes	characteristic
406	C₄×D₅₂	C₂³	1	1	yes	characteristic
407	C₄×D₅₂	C₂³	1	1	yes	characteristic
408	C₄×D₅₂	C₂³	1	1	yes	characteristic
409	C₄×D₅₂	C₂³	1	1	yes	characteristic
410	C₄×D₅₂	C₂³	1	1	yes	characteristic
411	#88126	—	2	1	no	—
412	#88126	—	2	1	no	—
413	C₄²×D₁₃	—	2	1	no	—
414	#88124	C₂³	1	1	yes	characteristic
415	#88124	C₂³	1	1	yes	characteristic
416	#88123	C₂³	1	1	yes	characteristic
417	#88123	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
420	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	#88075	C₂³	1	1	yes	characteristic
423	#88075	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88075	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88075	C₂³	1	1	yes	characteristic
429	#88075	C₂³	1	1	yes	characteristic
430	#88072	C₂³	1	1	yes	characteristic
431	#88072	C₂³	1	1	yes	characteristic
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	C₂²⋊#1055	C₂³	1	1	yes	characteristic
449	C₂²⋊#1055	C₂³	1	1	yes	characteristic
450	C₂²⋊#1055	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	#88050	C₂³	1	1	yes	characteristic
453	#88050	C₂³	1	1	yes	characteristic
454	#88050	C₂³	1	1	yes	characteristic
455	#88050	C₂³	1	1	yes	characteristic
456	#88049	C₂³	1	1	yes	characteristic
457	#88049	C₂³	1	1	yes	characteristic
458	#88049	C₂³	1	1	yes	characteristic
459	#88049	C₂³	1	1	yes	characteristic
460	#88048	C₂³	1	1	yes	characteristic
461	#88048	C₂³	1	1	yes	characteristic
462	#88048	C₂³	1	1	yes	characteristic
463	#88048	C₂³	1	1	yes	characteristic
464	#88047	C₂³	1	1	yes	characteristic
465	#88047	C₂³	1	1	yes	characteristic
466	#88047	C₂³	1	1	yes	characteristic
467	#88047	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	C₄⋊#1055	C₂³	1	1	yes	characteristic
472	C₄⋊#1055	C₂³	1	1	yes	characteristic
473	C₄⋊#1055	C₂³	1	1	yes	characteristic
474	C₄⋊#1055	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	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	#88043	C₂³	1	1	yes	characteristic
482	C₄×#1055	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#62024	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂⁴×C₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₁₃×#41	—	4	1	no	—
491	C₁₃×#41	—	4	1	no	—
492	C₁₃×#41	—	4	1	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	8	2	no	—
497	C₁₃×#41	—	8	2	no	—
498	C₂×Q₈×C₁₃	—	2	1	no	—
499	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	4	1	no	—
521	C₂×D₄×C₁₃	—	4	1	no	—
522	C₂×D₄×C₁₃	—	4	1	no	—
523	C₂×D₄×C₁₃	—	4	1	no	—
524	C₂×D₄×C₁₃	—	8	2	no	—
525	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	—	2	1	no	—
540	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×C₂²⋊D₁₃	—	2	1	no	—
546	C₂×C₂²⋊D₁₃	—	2	1	no	—
547	C₂×C₂²⋊D₁₃	—	2	1	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂²×Dic₁₃	—	2	1	no	—
550	#6127	—	2	2	no	—
551	#6127	—	2	2	no	—
552	#6127	—	4	1	no	—
553	#6127	—	4	1	no	—
554	C₂×D₅₂	—	2	2	no	—
555	C₂×D₅₂	—	2	1	no	—
556	C₂×D₅₂	—	4	1	no	—
557	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
558	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×Dic₂₆	—	2	1	no	—
568	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₄²×C₁₃	—	2	1	no	—
618	C₄²×C₁₃	—	2	1	no	—
619	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₁₃	C₂⁴	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	C₂²⋊Dic₁₃	—	2	1	no	—
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	—	2	1	no	—
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	#6107	—	4	1	no	—
632	#6107	—	4	1	no	—
633	#6107	—	4	1	no	—
634	#6107	—	4	1	no	—
635	#6106	—	2	2	no	—
636	#6106	—	2	2	no	—
637	#6106	—	4	1	no	—
638	#6106	—	4	1	no	—
639	#6105	—	4	1	no	—
640	#6105	—	4	1	no	—
641	#6105	—	4	1	no	—
642	#6105	—	4	1	no	—
643	#6105	—	4	1	no	—
644	#6105	—	4	1	no	—
645	#6105	—	4	1	no	—
646	#6105	—	4	1	no	—
647	#6104	—	2	2	no	—
648	#6104	—	2	2	no	—
649	#6104	—	2	2	no	—
650	#6104	—	2	2	no	—
651	#6104	—	4	1	no	—
652	#6104	—	4	1	no	—
653	#6104	—	4	1	no	—
654	#6104	—	4	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	C₄⋊Dic₁₃	—	2	1	no	—
668	C₄⋊Dic₁₃	—	2	1	no	—
669	C₄⋊Dic₁₃	—	2	1	no	—
670	C₄⋊Dic₁₃	—	2	1	no	—
671	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	C₄×Dic₁₃	—	2	1	no	—
688	C₄×Dic₁₃	—	2	1	no	—
689	C₄×Dic₁₃	—	2	1	no	—
690	C₄×Dic₁₃	—	2	1	no	—
691	C₄×Dic₁₃	—	2	1	no	—
692	C₄×Dic₁₃	—	2	1	no	—
693	#6099	—	4	1	no	—
694	#6099	—	4	1	no	—
695	C₂×#1055	—	4	1	no	—
696	C₂×#1055	—	4	1	no	—
697	C₂×#1055	—	4	1	no	—
698	C₂×#1055	—	4	1	no	—
699	C₂×#1055	C₂⁴	1	1	yes	characteristic
700	C₂×#1055	C₂⁴	1	1	yes	characteristic
701	C₂×#1055	C₂⁴	1	1	yes	characteristic
702	C₂×#1055	C₂⁴	1	1	yes	characteristic
703	C₂×#1055	C₂⁴	1	1	yes	characteristic
704	C₂×#1055	C₂⁴	1	1	yes	characteristic
705	C₂×#1055	C₂⁴	1	1	yes	characteristic
706	C₂×#1055	C₂⁴	1	1	yes	characteristic
707	#3546	D₁₃	1	1	yes	characteristic, complemented
708	#3521	—	13	1	no	—
709	#3402	—	13	1	no	—
710	#3397	—	13	1	no	—
711	#3376	—	13	1	no	—
712	#3366	—	13	1	no	—
713	#3315	—	13	1	no	—
714	#3311	—	13	1	no	—
715	#3310	—	13	1	no	—
716	#3309	—	13	1	no	—
717	#3304	—	13	1	no	—
718	#3297	—	13	1	no	—
719	#3284	—	13	1	no	—
720	#3280	—	13	1	no	—
721	#3268	—	13	1	no	—
722	#3267	—	13	1	no	—
723	#3267	—	13	1	no	—
724	#3264	—	13	1	no	—
725	#3263	—	13	1	no	—
726	#3258	—	13	1	no	—
727	#3247	—	13	1	no	—
728	#3224	—	13	1	no	—
729	#3222	—	13	1	no	—
730	#3219	—	13	1	no	—
731	#3124	—	13	1	no	—
732	#3118	—	13	1	no	—
733	#3115	—	13	1	no	—
734	#3045	—	13	1	no	—
735	#3041	—	13	1	no	—
736	#3035	—	13	1	no	—
737	#2992	—	13	1	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	—	2	1	no	—
740	C₂³×C₁₃	—	2	1	no	—
741	C₂³×C₁₃	—	2	1	no	—
742	C₂³×C₁₃	—	8	1	no	—
743	C₂³×C₁₃	—	8	1	no	—
744	C₂³×C₁₃	—	8	1	no	—
745	C₂³×C₁₃	—	8	1	no	—
746	C₂³×C₁₃	—	8	1	no	—
747	C₂³×C₁₃	—	8	1	no	—
748	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
749	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
750	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
751	C₂²×D₁₃	—	2	1	no	—
752	C₂²×D₁₃	—	2	1	no	—
753	C₂²×D₁₃	—	4	2	no	—
754	C₂²×D₁₃	—	8	1	no	—
755	C₂²×D₁₃	—	8	1	no	—
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	2	1	no	—
758	Q₈×C₁₃	—	2	1	no	—
759	Q₈×C₁₃	—	2	1	no	—
760	Q₈×C₁₃	—	4	1	no	—
761	Q₈×C₁₃	—	8	1	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	2	1	no	—
765	D₄×C₁₃	—	2	1	no	—
766	D₄×C₁₃	—	2	1	no	—
767	D₄×C₁₃	—	2	1	no	—
768	D₄×C₁₃	—	2	1	no	—
769	D₄×C₁₃	—	2	1	no	—
770	D₄×C₁₃	—	4	1	no	—
771	D₄×C₁₃	—	4	1	no	—
772	D₄×C₁₃	—	4	1	no	—
773	D₄×C₁₃	—	4	2	no	—
774	D₄×C₁₃	—	8	1	no	—
775	D₄×C₁₃	—	8	1	no	—
776	D₄×C₁₃	—	8	1	no	—
777	D₄×C₁₃	—	8	1	no	—
778	D₄×C₁₃	—	8	1	no	—
779	D₄×C₁₃	—	8	1	no	—
780	D₄×C₁₃	—	8	1	no	—
781	D₄×C₁₃	—	8	1	no	—
782	D₄×C₁₃	—	8	1	no	—
783	D₄×C₁₃	—	8	1	no	—
784	D₄×C₁₃	—	8	1	no	—
785	D₄×C₁₃	—	8	1	no	—
786	D₄×C₁₃	—	8	1	no	—
787	D₄×C₁₃	—	8	1	no	—
788	D₄×C₁₃	—	8	1	no	—
789	D₄×C₁₃	—	8	1	no	—
790	D₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	4	1	no	—
802	C₂×C₄×C₁₃	—	4	1	no	—
803	C₂×C₄×C₁₃	—	4	2	no	—
804	C₂×C₄×C₁₃	—	4	2	no	—
805	C₂×C₄×C₁₃	—	8	1	no	—
806	C₂×C₄×C₁₃	—	8	1	no	—
807	C₂×C₄×C₁₃	—	8	1	no	—
808	C₂×C₄×C₁₃	—	8	1	no	—
809	C₂×C₄×C₁₃	—	8	1	no	—
810	C₂×C₄×C₁₃	—	8	1	no	—
811	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
823	C₂²⋊D₁₃	—	4	2	no	—
824	C₂²⋊D₁₃	—	4	2	no	—
825	C₂²⋊D₁₃	—	8	1	no	—
826	C₂²⋊D₁₃	—	8	1	no	—
827	C₂×Dic₁₃	—	2	1	no	—
828	C₂×Dic₁₃	—	2	1	no	—
829	C₂×Dic₁₃	—	2	1	no	—
830	C₂×Dic₁₃	—	2	1	no	—
831	C₂×Dic₁₃	—	2	1	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	8	1	no	—
834	D₅₂	—	2	1	no	—
835	D₅₂	—	2	1	no	—
836	D₅₂	—	2	1	no	—
837	D₅₂	—	4	2	no	—
838	D₅₂	H(5,𝔽₂)	1	2	yes	—
839	C₄×D₁₃	—	4	2	no	—
840	C₄×D₁₃	—	4	2	no	—
841	C₄×D₁₃	—	8	1	no	—
842	C₄×D₁₃	—	8	1	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	—	8	1	no	—
845	C₄×D₁₃	—	8	1	no	—
846	C₄×D₁₃	—	8	1	no	—
847	Dic₂₆	—	2	1	no	—
848	Dic₂₆	—	2	1	no	—
849	Dic₂₆	—	2	1	no	—
850	Dic₂₆	—	2	1	no	—
851	Dic₂₆	—	8	1	no	—
852	#1055	—	2	1	no	—
853	#1055	—	2	1	no	—
854	#1055	—	2	1	no	—
855	#1055	—	2	1	no	—
856	#1055	—	2	1	no	—
857	#1055	—	2	1	no	—
858	#1055	—	2	1	no	—
859	#1055	—	2	1	no	—
860	C₂×AGL(1,ℤ/8)	—	13	1	no	—
861	C₂×AGL(1,ℤ/8)	—	13	1	no	—
862	C₂×#135	—	13	1	no	—
863	C₂×#135	—	13	1	no	—
864	C₂×#135	—	13	1	no	—
865	C₂²×D₈	—	13	1	no	—
866	#560	—	2	1	no	—
867	#560	—	2	1	no	—
868	#556	—	13	1	no	—
869	#556	—	13	1	no	—
870	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
871	#554	—	13	1	no	—
872	#553	—	2	1	no	—
873	#553	—	13	1	no	—
874	#553	—	26	1	no	—
875	#552	—	13	1	no	—
876	#552	—	26	1	no	—
877	#551	—	26	1	no	—
878	#551	—	26	1	no	—
879	#550	C₂×D₁₃	1	1	yes	characteristic
880	#550	C₂×D₁₃	1	1	yes	characteristic, complemented
881	#550	C₂×D₁₃	1	1	yes	characteristic, complemented
882	#547	—	13	1	no	—
883	#547	C₂×D₁₃	1	1	yes	characteristic
884	#546	—	2	1	no	—
885	#546	—	13	1	no	—
886	#546	—	13	1	no	—
887	#546	C₂×D₁₃	1	1	yes	characteristic
888	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
889	D₄²	C₂×D₁₃	1	1	yes	characteristic
890	#542	—	13	1	no	—
891	#542	C₂×D₁₃	1	1	yes	characteristic
892	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
893	#541	—	13	1	no	—
894	#539	—	26	1	no	—
895	#538	—	2	1	no	—
896	#538	—	2	1	no	—
897	#538	—	26	1	no	—
898	#537	—	2	1	no	—
899	#535	—	2	1	no	—
900	#535	C₂×D₁₃	1	1	yes	characteristic
901	#535	C₂×D₁₃	1	1	yes	characteristic, complemented
902	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
903	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
904	#529	—	13	1	no	—
905	#529	—	26	1	no	—
906	#529	C₂×D₁₃	1	1	yes	characteristic
907	C₂×#126	—	26	1	no	—
908	#520	—	13	1	no	—
909	#518	—	13	1	no	—
910	C₄×#41	—	13	1	no	—
911	#497	—	13	1	no	—
912	#497	—	13	1	no	—
913	#496	—	13	1	no	—
914	#496	—	13	1	no	—
915	#495	—	13	1	no	—
916	#492	—	13	1	no	—
917	#491	—	13	1	no	—
918	#490	—	13	1	no	—
919	#490	—	13	1	no	—
920	#489	—	13	1	no	—
921	#488	—	13	1	no	—
922	#486	—	13	1	no	—
923	#485	—	13	1	no	—
924	#484	—	13	1	no	—
925	#482	—	13	1	no	—
926	#482	—	13	1	no	—
927	#482	—	13	1	no	—
928	#480	—	13	1	no	—
929	#479	—	13	1	no	—
930	#478	—	13	1	no	—
931	#478	—	13	1	no	—
932	#478	—	13	1	no	—
933	#477	—	13	1	no	—
934	#476	—	13	1	no	—
935	#476	—	13	1	no	—
936	#475	—	13	1	no	—
937	#475	—	13	1	no	—
938	#474	—	13	1	no	—
939	#470	—	13	1	no	—
940	#470	—	13	1	no	—
941	#469	—	13	1	no	—
942	#468	—	13	1	no	—
943	#467	—	13	1	no	—
944	#466	—	13	1	no	—
945	#466	—	13	1	no	—
946	#465	—	13	1	no	—
947	#465	—	13	1	no	—
948	#465	—	13	1	no	—
949	#465	—	13	1	no	—
950	#465	—	13	1	no	—
951	#464	—	13	1	no	—
952	#464	—	13	1	no	—
953	#464	—	13	1	no	—
954	#464	—	13	1	no	—
955	#464	—	13	1	no	—
956	#464	—	13	1	no	—
957	#463	—	13	1	no	—
958	#463	—	13	1	no	—
959	#463	—	13	1	no	—
960	#463	—	13	1	no	—
961	#463	—	13	1	no	—
962	#463	—	13	1	no	—
963	#463	—	13	1	no	—
964	#463	—	13	1	no	—
965	#463	—	13	1	no	—
966	#463	—	13	1	no	—
967	#462	—	13	1	no	—
968	#462	—	13	1	no	—
969	#461	—	13	1	no	—
970	#461	—	13	1	no	—
971	#460	—	13	1	no	—
972	#460	—	13	1	no	—
973	#460	—	13	1	no	—
974	#460	—	13	1	no	—
975	#459	—	13	1	no	—
976	#459	—	13	1	no	—
977	#459	—	13	1	no	—
978	#459	—	13	1	no	—
979	#459	—	13	1	no	—
980	#459	—	13	1	no	—
981	#452	—	13	1	no	—
982	#452	—	13	1	no	—
983	#452	—	13	1	no	—
984	#452	—	13	1	no	—
985	#452	—	13	1	no	—
986	#452	—	13	1	no	—
987	#450	—	13	1	no	—
988	#450	—	13	1	no	—
989	#450	—	13	1	no	—
990	#450	—	13	1	no	—
991	#449	—	13	1	no	—
992	#449	—	13	1	no	—
993	#449	—	13	1	no	—
994	#449	—	13	1	no	—
995	#449	—	13	1	no	—
996	#449	—	13	1	no	—
997	#447	—	13	1	no	—
998	#447	—	13	1	no	—
999	#446	—	13	1	no	—
1000	#446	—	13	1	no	—
1001	#442	—	13	1	no	—
1002	#442	—	13	1	no	—
1003	#442	—	13	1	no	—
1004	#440	—	13	1	no	—
1005	#440	—	13	1	no	—
1006	#440	—	13	1	no	—
1007	#440	—	13	1	no	—
1008	#440	—	13	1	no	—
1009	C₄×Q₁₆	—	13	1	no	—
1010	C₄×SD₁₆	—	13	1	no	—
1011	C₄×D₈	—	13	1	no	—
1012	C₄×D₈	—	13	1	no	—
1013	#435	—	13	1	no	—
1014	#435	—	13	1	no	—
1015	#435	—	13	1	no	—
1016	#435	—	13	1	no	—
1017	C₈×D₄	—	13	1	no	—
1018	C₈×D₄	—	13	1	no	—
1019	#433	—	13	1	no	—
1020	#433	—	13	1	no	—
1021	#432	—	13	1	no	—
1022	#424	—	13	1	no	—
1023	#424	—	13	1	no	—
1024	C₂×C₄⋊C₈	—	13	1	no	—
1025	#418	—	13	1	no	—
1026	#417	—	13	1	no	—
1027	#416	—	13	1	no	—
1028	#416	—	13	1	no	—
1029	#416	—	13	1	no	—
1030	C₂×#102	—	13	1	no	—
1031	C₂²×C₁₃	—	2	1	no	—
1032	C₂²×C₁₃	—	2	1	no	—
1033	C₂²×C₁₃	—	2	1	no	—
1034	C₂²×C₁₃	—	2	1	no	—
1035	C₂²×C₁₃	—	2	1	no	—
1036	C₂²×C₁₃	—	2	1	no	—
1037	C₂²×C₁₃	—	2	1	no	—
1038	C₂²×C₁₃	—	2	1	no	—
1039	C₂²×C₁₃	—	2	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	—	4	1	no	—
1043	C₂²×C₁₃	—	4	1	no	—
1044	C₂²×C₁₃	—	4	1	no	—
1045	C₂²×C₁₃	—	4	1	no	—
1046	C₂²×C₁₃	—	4	1	no	—
1047	C₂²×C₁₃	—	4	1	no	—
1048	C₂²×C₁₃	—	4	1	no	—
1049	C₂²×C₁₃	—	4	1	no	—
1050	C₂²×C₁₃	—	4	1	no	—
1051	C₂²×C₁₃	—	4	1	no	—
1052	C₂²×C₁₃	—	16	2	no	—
1053	C₂²×C₁₃	—	16	2	no	—
1054	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1055	C₂×D₁₃	—	2	2	no	—
1056	C₂×D₁₃	—	4	1	no	—
1057	C₂×D₁₃	—	4	1	no	—
1058	C₂×D₁₃	—	4	1	no	—
1059	C₂×D₁₃	—	4	1	no	—
1060	C₂×D₁₃	—	4	1	no	—
1061	C₂×D₁₃	—	16	2	no	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	2	1	no	—
1064	C₄×C₁₃	—	2	1	no	—
1065	C₄×C₁₃	—	2	1	no	—
1066	C₄×C₁₃	—	2	1	no	—
1067	C₄×C₁₃	—	2	1	no	—
1068	C₄×C₁₃	—	2	1	no	—
1069	C₄×C₁₃	—	2	1	no	—
1070	C₄×C₁₃	—	2	1	no	—
1071	C₄×C₁₃	—	2	1	no	—
1072	C₄×C₁₃	—	2	1	no	—
1073	C₄×C₁₃	—	4	1	no	—
1074	C₄×C₁₃	—	4	1	no	—
1075	C₄×C₁₃	—	4	1	no	—
1076	C₄×C₁₃	—	4	1	no	—
1077	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1078	C₄×C₁₃	#585	1	1	yes	characteristic
1079	Dic₁₃	—	4	1	no	—
1080	Dic₁₃	—	4	1	no	—
1081	Dic₁₃	—	4	1	no	—
1082	Dic₁₃	—	4	1	no	—
1083	Dic₁₃	—	4	1	no	—
1084	Dic₁₃	—	4	1	no	—
1085	C₂×#41	—	2	1	no	—
1086	C₂×#41	—	2	1	no	—
1087	C₂×#41	—	13	1	no	—
1088	C₂×#41	—	13	1	no	—
1089	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1090	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1091	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1092	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1093	C₂²×D₄	—	2	1	no	—
1094	C₂²×D₄	—	13	1	no	—
1095	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1097	AGL(1,ℤ/8)	—	52	2	no	—
1098	AGL(1,ℤ/8)	—	52	2	no	—
1099	#135	—	52	2	no	—
1100	#135	—	52	2	no	—
1101	#135	—	52	2	no	—
1102	C₂×Q₁₆	—	13	1	no	—
1103	C₂×Q₁₆	—	13	1	no	—
1104	C₂×Q₁₆	—	13	1	no	—
1105	C₂×Q₁₆	—	13	1	no	—
1106	C₂×SD₁₆	—	13	1	no	—
1107	C₂×SD₁₆	—	13	1	no	—
1108	C₂×SD₁₆	—	13	1	no	—
1109	C₂×SD₁₆	—	13	1	no	—
1110	C₂×SD₁₆	—	13	1	no	—
1111	C₂×SD₁₆	—	13	1	no	—
1112	C₂×SD₁₆	—	13	1	no	—
1113	C₂×SD₁₆	—	13	1	no	—
1114	C₂×SD₁₆	—	13	1	no	—
1115	C₂×SD₁₆	—	13	1	no	—
1116	C₂×SD₁₆	—	13	1	no	—
1117	C₂×SD₁₆	—	13	1	no	—
1118	C₂×D₈	—	13	1	no	—
1119	C₂×D₈	—	13	1	no	—
1120	C₂×D₈	—	13	1	no	—
1121	C₂×D₈	—	13	1	no	—
1122	C₂×D₈	—	13	1	no	—
1123	C₂×D₈	—	13	1	no	—
1124	C₂×D₈	—	13	1	no	—
1125	C₂×D₈	—	13	1	no	—
1126	C₂×D₈	—	52	2	no	—
1127	C₂×M₁₆	—	13	1	no	—
1128	C₂×M₁₆	—	13	1	no	—
1129	C₂²×C₈	—	13	1	no	—
1130	C₂²×C₈	—	13	1	no	—
1131	C₂²×C₈	—	13	1	no	—
1132	C₂²×C₈	—	13	1	no	—
1133	C₄⋊Q₈	—	13	1	no	—
1134	C₄⋊Q₈	—	13	1	no	—
1135	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1136	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1137	#127	—	2	1	no	—
1138	#127	—	2	1	no	—
1139	#127	C₂²×D₁₃	1	1	yes	characteristic
1140	#127	C₂²×D₁₃	1	1	yes	characteristic
1141	#127	C₂²×D₁₃	1	1	yes	characteristic
1142	#127	C₂²×D₁₃	1	1	yes	characteristic
1143	#126	—	2	1	no	—
1144	#126	—	2	1	no	—
1145	#126	—	2	1	no	—
1146	#126	—	2	1	no	—
1147	#126	—	26	1	no	—
1148	#126	—	26	1	no	—
1149	#126	—	26	1	no	—
1150	#126	—	26	1	no	—
1151	#126	—	26	1	no	—
1152	#126	—	26	1	no	—
1153	#126	—	26	1	no	—
1154	#126	—	26	1	no	—
1155	#126	—	26	1	no	—
1156	#126	—	26	1	no	—
1157	#126	C₂²⋊D₁₃	1	1	yes	characteristic
1158	#126	C₂²⋊D₁₃	1	1	yes	characteristic
1159	#125	—	13	1	no	—
1160	#125	—	13	1	no	—
1161	#125	—	26	1	no	—
1162	#125	—	26	1	no	—
1163	#125	—	26	1	no	—
1164	#125	C₂²⋊D₁₃	1	1	yes	characteristic
1165	#124	—	2	1	no	—
1166	#124	—	2	1	no	—
1167	#124	—	2	1	no	—
1168	#124	—	13	1	no	—
1169	#124	—	13	1	no	—
1170	#124	—	26	1	no	—
1171	#124	—	26	1	no	—
1172	#124	C₂²⋊D₁₃	1	1	yes	characteristic
1173	#124	C₂²×D₁₃	1	1	yes	characteristic
1174	#124	C₂²×D₁₃	1	1	yes	characteristic
1175	#124	C₂²×D₁₃	1	1	yes	characteristic
1176	#124	C₂²×D₁₃	1	1	yes	characteristic
1177	#123	—	2	1	no	—
1178	#123	—	2	1	no	—
1179	#123	—	2	1	no	—
1180	#123	—	2	1	no	—
1181	#123	—	2	1	no	—
1182	#123	—	2	1	no	—
1183	#123	—	26	1	no	—
1184	#123	—	26	1	no	—
1185	#123	—	26	1	no	—
1186	#123	—	26	1	no	—
1187	#123	—	26	1	no	—
1188	#123	—	26	1	no	—
1189	#123	—	26	1	no	—
1190	#123	—	26	1	no	—
1191	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1192	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	—	2	1	no	—
1196	C₂²⋊Q₈	—	13	1	no	—
1197	C₂²⋊Q₈	—	13	1	no	—
1198	C₂²⋊Q₈	—	13	1	no	—
1199	C₂²⋊Q₈	—	13	1	no	—
1200	C₂²⋊Q₈	—	26	1	no	—
1201	C₂²⋊Q₈	—	26	1	no	—
1202	C₂²⋊Q₈	—	26	1	no	—
1203	C₂²⋊Q₈	—	26	1	no	—
1204	C₂²⋊Q₈	—	26	1	no	—
1205	C₂²⋊Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1206	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1207	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1208	#121	—	2	1	no	—
1209	#121	—	2	1	no	—
1210	#121	—	2	1	no	—
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	—	2	1	no	—
1214	#121	—	2	1	no	—
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	—	2	1	no	—
1218	#121	—	2	1	no	—
1219	#121	—	2	1	no	—
1220	#121	—	2	1	no	—
1221	#121	—	2	1	no	—
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	13	1	no	—
1227	#121	—	13	1	no	—
1228	#121	—	26	1	no	—
1229	#121	—	26	1	no	—
1230	#121	—	26	1	no	—
1231	#121	—	26	1	no	—
1232	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1233	#121	C₂²×D₁₃	1	1	yes	characteristic
1234	#121	C₂²×D₁₃	1	1	yes	characteristic
1235	#121	C₂²×D₁₃	1	1	yes	characteristic
1236	#121	C₂²×D₁₃	1	1	yes	characteristic
1237	#120	—	2	1	no	—
1238	#120	—	2	1	no	—
1239	#120	—	2	1	no	—
1240	#120	—	2	1	no	—
1241	#120	—	2	1	no	—
1242	#120	—	2	1	no	—
1243	#120	—	2	1	no	—
1244	#120	—	2	1	no	—
1245	#120	—	26	1	no	—
1246	#120	—	26	1	no	—
1247	C₄×Q₈	—	13	1	no	—
1248	C₄×Q₈	—	13	1	no	—
1249	C₄×Q₈	—	13	1	no	—
1250	C₄×Q₈	—	13	1	no	—
1251	C₄×Q₈	—	26	1	no	—
1252	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1253	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1254	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1255	C₄×D₄	—	2	1	no	—
1256	C₄×D₄	—	2	1	no	—
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	—	2	1	no	—
1259	C₄×D₄	—	2	1	no	—
1260	C₄×D₄	—	13	1	no	—
1261	C₄×D₄	—	13	1	no	—
1262	C₄×D₄	—	13	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	13	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	—	26	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	—	26	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1275	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1277	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1278	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1279	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1280	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1281	#117	—	2	1	no	—
1282	#117	—	13	1	no	—
1283	#117	—	13	1	no	—
1284	#117	—	26	1	no	—
1285	#117	—	26	1	no	—
1286	#117	—	26	1	no	—
1287	#117	—	26	1	no	—
1288	#117	—	26	1	no	—
1289	#117	C₂²×D₁₃	1	1	yes	characteristic
1290	#117	C₂²×D₁₃	1	1	yes	characteristic
1291	C₂×C₄⋊C₄	—	2	1	no	—
1292	C₂×C₄⋊C₄	—	13	1	no	—
1293	C₂×C₄⋊C₄	—	26	1	no	—
1294	C₂×C₄⋊C₄	—	26	1	no	—
1295	C₂×C₄⋊C₄	—	26	1	no	—
1296	C₂×C₂²⋊C₄	—	2	1	no	—
1297	C₂×C₂²⋊C₄	—	2	1	no	—
1298	C₂×C₂²⋊C₄	—	26	1	no	—
1299	C₂×C₂²⋊C₄	—	26	1	no	—
1300	C₂×C₂²⋊C₄	—	26	1	no	—
1301	C₂×C₂²⋊C₄	—	26	1	no	—
1302	C₂×C₄²	—	26	1	no	—
1303	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1304	#107	—	13	1	no	—
1305	#107	—	13	1	no	—
1306	#107	—	13	1	no	—
1307	#107	—	13	1	no	—
1308	#106	—	13	1	no	—
1309	#106	—	13	1	no	—
1310	#106	—	13	1	no	—
1311	#106	—	13	1	no	—
1312	C₄⋊C₈	—	13	1	no	—
1313	C₄⋊C₈	—	13	1	no	—
1314	C₄⋊C₈	—	13	1	no	—
1315	C₄⋊C₈	—	13	1	no	—
1316	C₄⋊C₈	—	13	1	no	—
1317	C₄⋊C₈	—	13	1	no	—
1318	C₄⋊C₈	—	13	1	no	—
1319	C₄⋊C₈	—	13	1	no	—
1320	C₄⋊C₈	—	13	1	no	—
1321	C₄⋊C₈	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	—	13	1	no	—
1326	#103	—	13	1	no	—
1327	#103	—	13	1	no	—
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	—	13	1	no	—
1336	#102	—	13	1	no	—
1337	#102	—	13	1	no	—
1338	#102	—	13	1	no	—
1339	#102	—	13	1	no	—
1340	#102	—	13	1	no	—
1341	#102	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	C₂²⋊C₈	—	13	1	no	—
1355	C₂²⋊C₈	—	13	1	no	—
1356	C₂²⋊C₈	—	13	1	no	—
1357	C₂²⋊C₈	—	13	1	no	—
1358	C₂²⋊C₈	—	13	1	no	—
1359	C₂²⋊C₈	—	13	1	no	—
1360	#97	—	13	1	no	—
1361	#97	—	13	1	no	—
1362	#97	—	13	1	no	—
1363	#97	—	13	1	no	—
1364	C₄×C₈	—	13	1	no	—
1365	C₄×C₈	—	13	1	no	—
1366	C₂×C₁₃	—	4	1	no	—
1367	C₂×C₁₃	—	4	1	no	—
1368	C₂×C₁₃	—	4	1	no	—
1369	C₂×C₁₃	—	8	1	no	—
1370	C₂×C₁₃	—	8	1	no	—
1371	C₂×C₁₃	—	8	1	no	—
1372	C₂×C₁₃	—	8	1	no	—
1373	C₂×C₁₃	#3488	1	1	yes	characteristic
1374	C₂×C₁₃	#3584	1	1	yes	characteristic
1375	C₂×C₁₃	#3585	1	1	yes	characteristic
1376	D₁₃	—	4	2	no	—
1377	D₁₃	—	8	1	no	—
1378	C₂⁴	—	2	1	no	—
1379	C₂⁴	—	2	1	no	—
1380	C₂⁴	—	26	1	no	—
1381	#41	—	4	1	no	—
1382	#41	—	4	1	no	—
1383	#41	—	4	1	no	—
1384	#41	—	4	1	no	—
1385	#41	—	4	1	no	—
1386	#41	—	4	1	no	—
1387	#41	—	4	1	no	—
1388	#41	—	4	1	no	—
1389	#41	—	8	2	no	—
1390	#41	—	8	2	no	—
1391	#41	—	26	2	no	—
1392	#41	—	26	2	no	—
1393	#41	—	52	1	no	—
1394	#41	—	52	1	no	—
1395	C₂×Q₈	—	2	1	no	—
1396	C₂×Q₈	—	13	1	no	—
1397	C₂×Q₈	—	13	1	no	—
1398	C₂×Q₈	—	26	1	no	—
1399	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1400	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1401	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	4	1	no	—
1421	C₂×D₄	—	4	1	no	—
1422	C₂×D₄	—	4	1	no	—
1423	C₂×D₄	—	4	1	no	—
1424	C₂×D₄	—	8	2	no	—
1425	C₂×D₄	—	13	1	no	—
1426	C₂×D₄	—	13	1	no	—
1427	C₂×D₄	—	26	2	no	—
1428	C₂×D₄	—	26	1	no	—
1429	C₂×D₄	—	26	1	no	—
1430	C₂×D₄	—	26	1	no	—
1431	C₂×D₄	—	26	1	no	—
1432	C₂×D₄	—	26	1	no	—
1433	C₂×D₄	—	52	1	no	—
1434	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1435	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1436	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1437	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1438	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1439	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1440	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	26	1	no	—
1450	C₂²×C₄	—	26	1	no	—
1451	C₂²×C₄	—	26	1	no	—
1452	C₂²×C₄	—	26	1	no	—
1453	C₂²×C₄	—	26	1	no	—
1454	C₂²×C₄	—	26	1	no	—
1455	C₂²×C₄	—	26	1	no	—
1456	C₂²×C₄	—	26	1	no	—
1457	C₂²×C₄	—	26	1	no	—
1458	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1459	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1460	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1461	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1462	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1463	Q₁₆	—	52	1	no	—
1464	Q₁₆	—	52	1	no	—
1465	Q₁₆	—	52	1	no	—
1466	Q₁₆	—	52	1	no	—
1467	SD₁₆	—	26	2	no	—
1468	SD₁₆	—	26	2	no	—
1469	SD₁₆	—	52	1	no	—
1470	SD₁₆	—	52	1	no	—
1471	SD₁₆	—	52	1	no	—
1472	SD₁₆	—	52	1	no	—
1473	SD₁₆	—	52	1	no	—
1474	SD₁₆	—	52	1	no	—
1475	SD₁₆	—	52	1	no	—
1476	SD₁₆	—	52	1	no	—
1477	SD₁₆	—	52	1	no	—
1478	SD₁₆	—	52	1	no	—
1479	D₈	—	26	2	no	—
1480	D₈	—	26	2	no	—
1481	D₈	—	26	2	no	—
1482	D₈	—	26	2	no	—
1483	D₈	—	52	1	no	—
1484	D₈	—	52	1	no	—
1485	D₈	—	52	1	no	—
1486	D₈	—	52	1	no	—
1487	M₁₆	—	52	1	no	—
1488	M₁₆	—	52	1	no	—
1489	C₂×C₈	—	13	1	no	—
1490	C₂×C₈	—	13	1	no	—
1491	C₂×C₈	—	13	1	no	—
1492	C₂×C₈	—	13	1	no	—
1493	C₂×C₈	—	13	1	no	—
1494	C₂×C₈	—	13	1	no	—
1495	C₂×C₈	—	13	1	no	—
1496	C₂×C₈	—	13	1	no	—
1497	C₂×C₈	—	52	1	no	—
1498	C₂×C₈	—	52	1	no	—
1499	C₂×C₈	—	52	1	no	—
1500	C₂×C₈	—	52	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	13	1	no	—
1509	C₄⋊C₄	—	13	1	no	—
1510	C₄⋊C₄	—	13	1	no	—
1511	C₄⋊C₄	—	13	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	—	26	1	no	—
1519	C₄⋊C₄	—	26	1	no	—
1520	C₄⋊C₄	—	26	1	no	—
1521	C₄⋊C₄	—	26	1	no	—
1522	C₄⋊C₄	—	26	1	no	—
1523	C₄⋊C₄	—	26	1	no	—
1524	C₄⋊C₄	—	26	1	no	—
1525	C₄⋊C₄	—	26	1	no	—
1526	C₄⋊C₄	—	26	1	no	—
1527	C₄⋊C₄	—	26	1	no	—
1528	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1529	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1530	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1531	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1532	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1533	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1534	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1535	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1536	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1537	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1538	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1539	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₂²⋊C₄	—	26	1	no	—
1567	C₂²⋊C₄	—	26	1	no	—
1568	C₂²⋊C₄	—	26	1	no	—
1569	C₂²⋊C₄	—	26	1	no	—
1570	C₂²⋊C₄	—	26	1	no	—
1571	C₂²⋊C₄	—	26	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₂²⋊C₄	—	26	1	no	—
1575	C₂²⋊C₄	—	26	1	no	—
1576	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1579	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1583	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1584	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1585	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1586	C₄²	—	2	1	no	—
1587	C₄²	—	2	1	no	—
1588	C₄²	—	26	1	no	—
1589	C₄²	—	26	1	no	—
1590	C₄²	—	26	1	no	—
1591	C₄²	—	26	1	no	—
1592	C₄²	—	26	1	no	—
1593	C₄²	—	26	1	no	—
1594	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1595	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1596	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1597	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1598	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1599	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1600	C₁₃	#62024	1	1	yes	characteristic, complemented, Sylow
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	8	1	no	—
1606	C₂³	—	8	1	no	—
1607	C₂³	—	8	1	no	—
1608	C₂³	—	8	1	no	—
1609	C₂³	—	8	1	no	—
1610	C₂³	—	8	1	no	—
1611	C₂³	—	26	1	no	—
1612	C₂³	—	26	1	no	—
1613	C₂³	—	52	2	no	—
1614	C₂³	—	104	1	no	—
1615	C₂³	—	104	1	no	—
1616	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1617	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1618	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1619	Q₈	—	2	1	no	—
1620	Q₈	—	2	1	no	—
1621	Q₈	—	2	1	no	—
1622	Q₈	—	2	1	no	—
1623	Q₈	—	4	1	no	—
1624	Q₈	—	8	1	no	—
1625	Q₈	—	26	1	no	—
1626	Q₈	—	26	1	no	—
1627	Q₈	—	26	1	no	—
1628	Q₈	—	26	1	no	—
1629	Q₈	—	104	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	2	1	no	—
1636	D₄	—	2	1	no	—
1637	D₄	—	2	1	no	—
1638	D₄	—	4	1	no	—
1639	D₄	—	4	1	no	—
1640	D₄	—	4	1	no	—
1641	D₄	—	4	2	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	1	no	—
1655	D₄	—	8	1	no	—
1656	D₄	—	8	1	no	—
1657	D₄	—	8	1	no	—
1658	D₄	—	8	1	no	—
1659	D₄	—	13	2	no	—
1660	D₄	—	26	1	no	—
1661	D₄	—	26	1	no	—
1662	D₄	—	26	1	no	—
1663	D₄	—	52	2	no	—
1664	D₄	—	52	2	no	—
1665	D₄	—	52	2	no	—
1666	D₄	—	104	1	no	—
1667	D₄	—	104	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	4	1	no	—
1679	C₂×C₄	—	4	1	no	—
1680	C₂×C₄	—	4	2	no	—
1681	C₂×C₄	—	4	2	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	26	1	no	—
1689	C₂×C₄	—	26	1	no	—
1690	C₂×C₄	—	26	1	no	—
1691	C₂×C₄	—	26	1	no	—
1692	C₂×C₄	—	26	1	no	—
1693	C₂×C₄	—	26	1	no	—
1694	C₂×C₄	—	52	2	no	—
1695	C₂×C₄	—	52	2	no	—
1696	C₂×C₄	—	104	1	no	—
1697	C₂×C₄	—	104	1	no	—
1698	C₂×C₄	—	104	1	no	—
1699	C₂×C₄	—	104	1	no	—
1700	C₂×C₄	—	104	1	no	—
1701	C₂×C₄	—	104	1	no	—
1702	C₂×C₄	—	104	1	no	—
1703	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1704	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1705	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1706	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1707	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1708	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1709	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1710	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1711	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1712	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1713	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1714	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1715	C₈	—	26	1	no	—
1716	C₈	—	26	1	no	—
1717	C₈	—	26	1	no	—
1718	C₈	—	26	1	no	—
1719	C₈	—	26	1	no	—
1720	C₈	—	26	1	no	—
1721	C₈	—	26	1	no	—
1722	C₈	—	26	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	16	2	no	—
1745	C₂²	—	16	2	no	—
1746	C₂²	—	26	2	no	—
1747	C₂²	—	52	1	no	—
1748	C₂²	—	52	1	no	—
1749	C₂²	—	52	1	no	—
1750	C₂²	—	52	1	no	—
1751	C₂²	—	52	1	no	—
1752	C₂²	—	208	2	no	—
1753	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	2	1	no	—
1764	C₄	—	2	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	1	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	52	1	no	—
1770	C₄	—	52	1	no	—
1771	C₄	—	52	1	no	—
1772	C₄	—	52	1	no	—
1773	C₄	—	52	1	no	—
1774	C₄	—	52	1	no	—
1775	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1776	C₄	#11719650	1	1	yes	characteristic
1777	C₂	—	4	1	no	—
1778	C₂	—	4	1	no	—
1779	C₂	—	4	1	no	—
1780	C₂	—	8	1	no	—
1781	C₂	—	8	1	no	—
1782	C₂	—	8	1	no	—
1783	C₂	—	8	1	no	—
1784	C₂	—	52	2	no	—
1785	C₂	—	104	1	no	—
1786	C₂	#13128498	1	1	yes	characteristic
1787	C₂	#13129607	1	1	yes	characteristic
1788	C₂	#13129616	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3546	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3546	D₁₃
hypocenter	C₁₃	#62024
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3546

Complements

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

N	H ≅ G/N	type
1. #13128908	C₂	semidirect
2. #13127911	C₂	semidirect
3. #13127852	C₂	semidirect
4. #13127657	C₂	semidirect
5. #13127539	C₂	semidirect
6. #13126932	C₂	semidirect
7. #13126872	C₂	semidirect
8. #13126857	C₂	semidirect
9. #13126842	C₂	semidirect
10. #13126775	C₂	semidirect
11. #13126686	C₂	semidirect
12. #13126566	C₂	semidirect
13. #13126517	C₂	semidirect
14. #13126377	C₂	semidirect
15. #13126362	C₂	semidirect
16. #13126357	C₂	semidirect
17. #13126312	C₂	semidirect
18. #13126301	C₂	semidirect
19. #13126262	C₂	semidirect
20. #13126156	C₂	semidirect
21. #13125930	C₂	semidirect
22. #13125908	C₂	semidirect
23. #13125873	C₂	semidirect
24. #13125092	C₂	semidirect
25. #13125014	C₂	semidirect
26. #13124981	C₂	semidirect
27. #13124371	C₂	semidirect
28. #13124335	C₂	semidirect
29. #13124285	C₂	semidirect
30. #13123975	C₂	semidirect
31. C₁₃×#3546	C₂	semidirect
34. C₁₃×#556	C₂²	semidirect
37. C₁₃×#550	C₂²	semidirect
38. C₁₃×#550	C₂²	semidirect
42. C₁₃×#546	C₂²	semidirect
45. C₁₃×#542	C₂²	semidirect
51. C₁₃×#535	C₂²	semidirect
52. C₁₃×#532	C₂²	semidirect
53. C₁₃×#532	C₂²	semidirect
55. C₂×#88204	C₂²	semidirect
56. C₂×#88204	C₂²	semidirect
57. C₂×#88204	C₂²	semidirect
58. C₂×#88203	C₂²	semidirect
69. #11719289	C₂²	semidirect
70. #11719284	C₂²	semidirect
71. #11719270	C₂²	semidirect
72. #11719256	C₂²	semidirect
74. #11719255	C₂²	semidirect
75. #11719247	C₂²	semidirect
77. #11719239	C₂²	semidirect
78. #11719228	C₂²	semidirect
79. #11719226	C₂²	semidirect
80. #11719223	C₂²	semidirect
81. #11719184	C₂²	semidirect
82. C₄×#6127	C₂²	semidirect
83. #11718900	C₂²	semidirect
84. #11718900	C₂²	semidirect
85. #11718900	C₂²	semidirect
86. #11718900	C₂²	semidirect
87. #11718900	C₂²	semidirect
88. #11718899	C₂²	semidirect
89. #11718899	C₂²	semidirect
90. #11718899	C₂²	semidirect
91. #11718894	C₂²	semidirect
92. #11718894	C₂²	semidirect
93. #11718894	C₂²	semidirect
94. #11718893	C₂²	semidirect
97. #11718879	C₂²	semidirect
100. C₂×#88072	C₂²	semidirect
101. #11718755	C₂²	semidirect
102. #11718752	C₂²	semidirect
103. #11718751	C₂²	semidirect
104. #11718748	C₂²	semidirect
105. #11718747	C₂²	semidirect
106. #11718745	C₂²	semidirect
107. #11718744	C₂²	semidirect
108. #11718743	C₂²	semidirect
109. #11718737	C₂²	semidirect
110. #11718736	C₂²	semidirect
111. #11718736	C₂²	semidirect
112. #11718736	C₂²	semidirect
113. #11718736	C₂²	semidirect
115. #11718735	C₂²	semidirect
119. #11718733	C₂²	semidirect
120. #11718733	C₂²	semidirect
121. #11718733	C₂²	semidirect
122. #11718732	C₂²	semidirect
123. #11718732	C₂²	semidirect
124. #11718731	C₂²	semidirect
125. #11718721	C₂²	semidirect
130. #11718718	C₂²	semidirect
131. #11718718	C₂²	semidirect
132. #11718718	C₂²	semidirect
133. #11718718	C₂²	semidirect
134. #11718717	C₂²	semidirect
135. #11718716	C₂²	semidirect
136. #11718715	C₂²	semidirect
137. #11718715	C₂²	semidirect
138. #11718715	C₂²	semidirect
139. #11718715	C₂²	semidirect
140. #11718715	C₂²	semidirect
141. #11718713	C₂²	semidirect
142. #11718713	C₂²	semidirect
143. #11718712	C₂²	semidirect
144. #11718709	C₂²	semidirect
145. #11718708	C₂²	semidirect
146. #11718707	C₂²	semidirect
147. #11718706	C₂²	semidirect
148. #11718705	C₂²	semidirect
151. #11718702	C₂²	semidirect
152. #11718702	C₂²	semidirect
153. #11718702	C₂²	semidirect
156. #11718699	C₂²	semidirect
159. #11718698	C₂²	semidirect
162. #11718696	C₂²	semidirect
163. #11718696	C₂²	semidirect
164. #11718694	C₂²	semidirect
165. #11718692	C₂²	semidirect
166. C₄×#6107	C₂²	semidirect
167. #11718689	C₂²	semidirect
168. #11718687	C₂²	semidirect
169. #11718687	C₂²	semidirect
170. C₄×#6106	C₂²	semidirect
171. #11718685	C₂²	semidirect
172. #11718685	C₂²	semidirect
173. #11718683	C₂²	semidirect
174. #11718681	C₂²	semidirect
175. #11718680	C₂²	semidirect
176. #11718679	C₂²	semidirect
177. #11718679	C₂²	semidirect
178. #11718679	C₂²	semidirect
180. #11718677	C₂²	semidirect
181. #11718677	C₂²	semidirect
183. #11718675	C₂²	semidirect
184. #11718675	C₂²	semidirect
185. C₄×#6104	C₂²	semidirect
186. C₄×#6104	C₂²	semidirect
189. #11718672	C₂²	semidirect
190. #11718672	C₂²	semidirect
191. D₄×#1055	C₂²	semidirect
192. D₄×#1055	C₂²	semidirect
193. #11718670	C₂²	semidirect
194. #11718670	C₂²	semidirect
195. #11718670	C₂²	semidirect
196. #11718669	C₂²	semidirect
197. #11718661	C₂²	semidirect
198. #11718661	C₂²	semidirect
199. #11718660	C₂²	semidirect
200. #11718660	C₂²	semidirect
201. #11718587	C₂²	semidirect
202. C₂×C₄⋊#1055	C₂²	semidirect
707. #3546	D₁₃	semidirect
870. #556	C₂×D₁₃	semidirect
880. #550	C₂×D₁₃	semidirect
881. #550	C₂×D₁₃	semidirect
888. #546	C₂×D₁₃	semidirect
892. #542	C₂×D₁₃	semidirect
901. #535	C₂×D₁₃	semidirect
902. #532	C₂×D₁₃	semidirect
903. #532	C₂×D₁₃	semidirect
1600. C₁₃	#62024	semidirect

Maximal subgroups

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

subgroup	index
#13128908	2
#13127911	2
#13127852	2
#13127657	2
#13127539	2
#13126932	2
#13126872	2
#13126857	2
#13126842	2
#13126775	2
#13126686	2
#13126566	2
#13126517	2
#13126377	2
#13126362	2
#13126357	2
#13126312	2
#13126301	2
#13126262	2
#13126156	2
#13125930	2
#13125908	2
#13125873	2
#13125092	2
#13125014	2
#13124981	2
#13124371	2
#13124335	2
#13124285	2
#13123975	2
C₁₃×#3546	2
#62024	13