Subgroups — #16744973

Order 3328.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128429	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127920	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127781	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127598	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127589	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127375	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127315	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127232	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126977	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126941	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126872	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126836	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126732	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126686	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126539	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126372	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126327	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125559	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125535	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125528	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125003	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124981	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124974	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124945	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124939	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124927	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123850	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88186	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123634	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718679	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3481	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#559	C₂²	1	1	yes	characteristic
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#553	C₂²	1	1	yes	characteristic
37	C₁₃×#553	C₂²	1	1	yes	characteristic
38	C₁₃×#551	—	2	1	no	—
39	C₁₃×#551	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#532	C₂²	1	1	yes	characteristic
45	C₁₃×#529	—	2	1	no	—
46	C₁₃×#529	C₂²	1	1	yes	characteristic
47	C₁₃×#529	C₂²	1	1	yes	characteristic
48	C₁₃×#525	—	2	1	no	—
49	C₁₃×#525	—	2	1	no	—
50	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
51	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₁₃	—	2	1	no	—
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
55	#11719537	—	2	1	no	—
56	C₂×#88204	C₂²	1	1	yes	characteristic
57	C₂²×#6105	C₂²	1	1	yes	characteristic
58	C₂×#88186	C₂²	1	1	yes	characteristic
59	#11719290	C₂²	1	1	yes	characteristic, complemented
60	#11719273	—	2	1	no	—
61	#11719272	C₂²	1	1	yes	characteristic, complemented
62	#11719270	C₂²	1	1	yes	characteristic
63	#11719270	C₂²	1	1	yes	characteristic, complemented
64	#11719264	—	2	1	no	—
65	#11719258	C₂²	1	1	yes	characteristic, complemented
66	#11719257	C₂²	1	1	yes	characteristic
67	#11719257	C₂²	1	1	yes	characteristic, complemented
68	#11719247	C₂²	1	1	yes	characteristic, complemented
69	#11719245	—	2	1	no	—
70	#11719245	—	2	1	no	—
71	#11719233	—	2	1	no	—
72	#11719233	—	2	1	no	—
73	#11719227	—	2	1	no	—
74	#11719184	C₂²	1	1	yes	characteristic, complemented
75	#11719184	C₂²	1	1	yes	characteristic, complemented
76	#11719182	C₂²	1	1	yes	characteristic, complemented
77	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
78	C₄×#6127	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
80	#11718900	C₂²	1	1	yes	characteristic
81	#11718899	C₂²	1	1	yes	characteristic
82	#11718894	C₂²	1	1	yes	characteristic
83	#11718879	C₂²	1	1	yes	characteristic
84	#11718878	C₂²	1	1	yes	characteristic
85	#11718878	C₂²	1	1	yes	characteristic
86	#11718878	C₂²	1	1	yes	characteristic
87	#11718876	C₂²	1	1	yes	characteristic
88	C₂×#88072	C₂²	1	1	yes	characteristic
89	#11718755	C₂²	1	1	yes	characteristic, complemented
90	#11718750	C₂²	1	1	yes	characteristic, complemented
91	#11718748	C₂²	1	1	yes	characteristic, complemented
92	#11718741	C₂²	1	1	yes	characteristic, complemented
93	#11718736	C₂²	1	1	yes	characteristic
94	#11718735	C₂²	1	1	yes	characteristic
95	#11718733	C₂²	1	1	yes	characteristic
96	#11718732	C₂²	1	1	yes	characteristic
97	#11718729	C₂²	1	1	yes	characteristic, complemented
98	#11718728	C₂²	1	1	yes	characteristic, complemented
99	#11718727	C₂²	1	1	yes	characteristic, complemented
100	#11718726	C₂²	1	1	yes	characteristic, complemented
101	#11718725	C₂²	1	1	yes	characteristic, complemented
102	#11718724	C₂²	1	1	yes	characteristic, complemented
103	#11718724	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, complemented
107	#11718718	C₂²	1	1	yes	characteristic, complemented
108	#11718717	C₂²	1	1	yes	characteristic, complemented
109	#11718716	C₂²	1	1	yes	characteristic, complemented
110	#11718715	C₂²	1	1	yes	characteristic, complemented
111	#11718715	C₂²	1	1	yes	characteristic, complemented
112	#11718715	C₂²	1	1	yes	characteristic, complemented
113	#11718713	C₂²	1	1	yes	characteristic, complemented
114	#11718711	C₂²	1	1	yes	characteristic, complemented
115	#11718710	C₂²	1	1	yes	characteristic, complemented
116	#11718709	C₂²	1	1	yes	characteristic, complemented
117	#11718709	C₂²	1	1	yes	characteristic, complemented
118	#11718708	C₂²	1	1	yes	characteristic, complemented
119	#11718706	C₂²	1	1	yes	characteristic, complemented
120	#11718705	C₂²	1	1	yes	characteristic, complemented
121	#11718703	C₂²	1	1	yes	characteristic
122	#11718702	C₂²	1	1	yes	characteristic, complemented
123	#11718702	C₂²	1	1	yes	characteristic, complemented
124	#11718701	C₂²	1	1	yes	characteristic
125	#11718700	C₂²	1	1	yes	characteristic
126	#11718699	C₂²	1	1	yes	characteristic
127	#11718699	C₂²	1	1	yes	characteristic
128	#11718699	C₂²	1	1	yes	characteristic, complemented
129	#11718699	C₂²	1	1	yes	characteristic, complemented
130	#11718698	C₂²	1	1	yes	characteristic
131	#11718698	C₂²	1	1	yes	characteristic, complemented
132	#11718698	C₂²	1	1	yes	characteristic, complemented
133	#11718696	C₂²	1	1	yes	characteristic
134	#11718696	C₂²	1	1	yes	characteristic, complemented
135	#11718696	C₂²	1	1	yes	characteristic, complemented
136	#11718695	C₂²	1	1	yes	characteristic
137	#11718691	C₂²	1	1	yes	characteristic, complemented
138	#11718691	C₂²	1	1	yes	characteristic, complemented
139	#11718691	C₂²	1	1	yes	characteristic, complemented
140	#11718689	C₂²	1	1	yes	characteristic, complemented
141	#11718687	C₂²	1	1	yes	characteristic, complemented
142	#11718687	C₂²	1	1	yes	characteristic, complemented
143	#11718687	C₂²	1	1	yes	characteristic, complemented
144	#11718685	C₂²	1	1	yes	characteristic, complemented
145	#11718685	C₂²	1	1	yes	characteristic, complemented
146	#11718683	C₂²	1	1	yes	characteristic, complemented
147	#11718679	C₂²	1	1	yes	characteristic
148	#11718679	C₂²	1	1	yes	characteristic
149	#11718679	C₂²	1	1	yes	characteristic
150	#11718679	C₂²	1	1	yes	characteristic
151	#11718679	C₂²	1	1	yes	characteristic
152	#11718679	C₂²	1	1	yes	characteristic, complemented
153	#11718679	C₂²	1	1	yes	characteristic, complemented
154	#11718679	C₂²	1	1	yes	characteristic, complemented
155	#11718679	C₂²	1	1	yes	characteristic, complemented
156	#11718679	C₂²	1	1	yes	characteristic, complemented
157	#11718679	C₂²	1	1	yes	characteristic, complemented
158	C₄×#6105	C₂²	1	1	yes	characteristic
159	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
160	#11718677	C₂²	1	1	yes	characteristic
161	#11718677	C₂²	1	1	yes	characteristic
162	#11718677	C₂²	1	1	yes	characteristic, complemented
163	#11718676	C₂²	1	1	yes	characteristic
164	#11718676	C₂²	1	1	yes	characteristic, complemented
165	#11718675	C₂²	1	1	yes	characteristic
166	#11718675	C₂²	1	1	yes	characteristic
167	#11718675	C₂²	1	1	yes	characteristic
168	#11718675	C₂²	1	1	yes	characteristic, complemented
169	#11718675	C₂²	1	1	yes	characteristic, complemented
170	#11718675	C₂²	1	1	yes	characteristic, complemented
171	#11718675	C₂²	1	1	yes	characteristic, complemented
172	C₄×#6104	C₂²	1	1	yes	characteristic
173	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
174	#11718672	C₂²	1	1	yes	characteristic
175	#11718672	C₂²	1	1	yes	characteristic
176	#11718672	C₂²	1	1	yes	characteristic, complemented
177	#11718672	C₂²	1	1	yes	characteristic, complemented
178	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
179	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
180	#11718670	C₂²	1	1	yes	characteristic
181	#11718670	C₂²	1	1	yes	characteristic
182	#11718670	C₂²	1	1	yes	characteristic, complemented
183	#11718669	C₂²	1	1	yes	characteristic
184	#11718669	C₂²	1	1	yes	characteristic, complemented
185	#11718664	C₂²	1	1	yes	characteristic, complemented
186	#11718663	C₂²	1	1	yes	characteristic, complemented
187	#11718659	C₂²	1	1	yes	characteristic, complemented
188	#11718657	C₂²	1	1	yes	characteristic, complemented
189	#11718632	C₂²	1	1	yes	characteristic, complemented
190	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
191	#11718629	C₂²	1	1	yes	characteristic, complemented
192	#11718629	C₂²	1	1	yes	characteristic, complemented
193	#11718628	C₂²	1	1	yes	characteristic, complemented
194	#11718627	C₂²	1	1	yes	characteristic, complemented
195	#11718625	C₂²	1	1	yes	characteristic, complemented
196	C₂×#88047	C₂²	1	1	yes	characteristic, complemented
197	#11718587	C₂²	1	1	yes	characteristic, complemented
198	#11718587	C₂²	1	1	yes	characteristic, complemented
199	#11718587	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
201	C₂×#88043	C₂²	1	1	yes	characteristic, complemented
202	C₂×#88043	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×D₄×C₁₃	—	2	1	no	—
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₁₃	—	2	1	no	—
210	C₂³×C₄×C₁₃	—	2	1	no	—
211	C₂×#6127	—	2	1	no	—
212	C₂×#6127	C₂³	1	1	yes	characteristic
213	C₂×#6127	C₂³	1	1	yes	characteristic
214	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
215	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×#127	C₂³	1	1	yes	characteristic
217	C₁₃×#126	—	2	1	no	—
218	C₁₃×#126	—	2	1	no	—
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#126	—	2	1	no	—
221	C₁₃×#125	—	2	1	no	—
222	C₁₃×#125	C₂³	1	1	yes	characteristic
223	C₁₃×#125	C₂³	1	1	yes	characteristic
224	C₁₃×#124	—	2	1	no	—
225	C₁₃×#124	—	2	1	no	—
226	C₁₃×#124	C₂³	1	1	yes	characteristic
227	C₁₃×#124	C₂³	1	1	yes	characteristic
228	C₁₃×#123	—	2	1	no	—
229	C₁₃×#123	—	2	1	no	—
230	C₁₃×#123	—	2	1	no	—
231	C₁₃×#123	—	2	1	no	—
232	C₁₃×#123	—	2	1	no	—
233	C₁₃×#123	—	2	1	no	—
234	C₁₃×#123	—	2	1	no	—
235	C₁₃×#123	—	2	1	no	—
236	C₁₃×C₂²⋊Q₈	—	2	1	no	—
237	C₁₃×C₂²⋊Q₈	—	2	1	no	—
238	C₁₃×C₂²⋊Q₈	—	2	1	no	—
239	C₁₃×C₂²⋊Q₈	—	2	1	no	—
240	C₁₃×C₂²⋊Q₈	—	2	1	no	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
242	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×#121	—	2	1	no	—
244	C₁₃×#121	—	2	1	no	—
245	C₁₃×#121	—	2	1	no	—
246	C₁₃×#121	—	2	1	no	—
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#120	—	2	1	no	—
254	C₁₃×#120	—	2	1	no	—
255	C₁₃×#120	—	2	1	no	—
256	C₁₃×#120	—	2	1	no	—
257	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
258	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
275	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
276	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₁₃	C₂³	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	D₄	1	1	yes	characteristic
292	C₁₃×#117	D₄	1	1	yes	characteristic
293	C₁₃×#117	D₄	1	1	yes	characteristic
294	C₁₃×#117	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
301	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
302	C₂×C₄²×C₁₃	—	2	1	no	—
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
306	#88204	—	2	4	no	—
307	#88201	—	2	1	no	—
308	#88198	—	2	1	no	—
309	C₂×#6107	C₂³	1	1	yes	characteristic
310	C₂×#6107	C₂³	1	1	yes	characteristic
311	C₂×#6106	C₂³	1	1	yes	characteristic
312	C₂×#6106	C₂³	1	1	yes	characteristic
313	#88194	—	2	1	no	—
314	#88193	—	2	1	no	—
315	#88193	—	2	1	no	—
316	#88193	—	2	1	no	—
317	#88193	—	2	1	no	—
318	#88190	—	2	1	no	—
319	C₂×#6105	—	2	4	no	—
320	C₂×#6105	C₂³	1	1	yes	characteristic
321	C₂×#6105	C₂³	1	1	yes	characteristic
322	C₂×#6105	C₂³	1	1	yes	characteristic
323	C₂×#6105	C₂³	1	1	yes	characteristic
324	C₂×#6105	C₂³	1	1	yes	characteristic
325	C₂×#6105	C₂³	1	1	yes	characteristic
326	#88186	—	2	4	no	—
327	C₂×#6104	C₂³	1	1	yes	characteristic
328	C₂×#6104	C₂³	1	1	yes	characteristic
329	C₂×#6104	C₂³	1	1	yes	characteristic
330	C₂×#6104	C₂³	1	1	yes	characteristic
331	C₂×#6104	C₂³	1	1	yes	characteristic
332	C₂×#6104	C₂³	1	1	yes	characteristic
333	#88184	—	2	1	no	—
334	#88184	C₂³	1	1	yes	characteristic
335	#88184	C₂³	1	1	yes	characteristic
336	#88184	C₂³	1	1	yes	characteristic
337	#88184	C₂³	1	1	yes	characteristic
338	#88183	—	2	1	no	—
339	#88183	—	2	1	no	—
340	C₄×C₂²⋊D₁₃	—	2	1	no	—
341	C₄×C₂²⋊D₁₃	—	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	#88180	C₂³	1	1	yes	characteristic
347	#88180	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
349	#88178	C₂³	1	1	yes	characteristic
350	#88178	C₂³	1	1	yes	characteristic
351	C₂×#6101	—	2	1	no	—
352	C₂×C₄×Dic₁₃	—	2	1	no	—
353	C₂×#6099	C₂³	1	1	yes	characteristic
354	C₂×#6099	C₂³	1	1	yes	characteristic
355	C₂²×#1055	C₂³	1	1	yes	characteristic
356	C₂²×#1055	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	#88148	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88147	—	2	1	no	—
366	#88147	—	2	1	no	—
367	#88143	—	2	1	no	—
368	#88143	—	2	1	no	—
369	#88141	—	2	1	no	—
370	#88141	—	2	1	no	—
371	#88139	—	2	1	no	—
372	#88139	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88137	—	2	1	no	—
376	#88137	—	2	1	no	—
377	#88135	—	2	1	no	—
378	#88135	—	2	1	no	—
379	#88135	—	2	1	no	—
380	#88135	—	2	1	no	—
381	#88133	—	2	1	no	—
382	#88133	—	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	C₂³	1	1	yes	characteristic
391	C₄×D₅₂	C₂³	1	1	yes	characteristic
392	C₄×D₅₂	C₂³	1	1	yes	characteristic
393	C₄×D₅₂	C₂³	1	1	yes	characteristic
394	#88126	—	2	1	no	—
395	#88126	—	2	1	no	—
396	#88126	—	2	1	no	—
397	#88126	—	2	1	no	—
398	C₄²×D₁₃	—	2	1	no	—
399	C₄²×D₁₃	—	2	1	no	—
400	#88124	C₂³	1	1	yes	characteristic
401	#88124	C₂³	1	1	yes	characteristic
402	#88123	C₂³	1	1	yes	characteristic
403	C₄×Dic₂₆	—	2	1	no	—
404	C₄×Dic₂₆	—	2	1	no	—
405	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
406	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
407	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
408	C₄×Dic₂₆	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	#88072	C₂³	1	1	yes	characteristic
416	#88072	C₂³	1	1	yes	characteristic
417	#88072	C₂³	1	1	yes	characteristic
418	#88072	C₂³	1	1	yes	characteristic
419	#88072	C₂³	1	1	yes	characteristic
420	#88072	C₂³	1	1	yes	characteristic
421	#88072	C₂³	1	1	yes	characteristic
422	#88072	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	#88050	C₂³	1	1	yes	characteristic
438	#88050	C₂³	1	1	yes	characteristic
439	#88050	C₂³	1	1	yes	characteristic
440	#88050	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	#88047	C₂³	1	1	yes	characteristic
458	#88047	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	#88043	C₂³	1	1	yes	characteristic
476	#88043	C₂³	1	1	yes	characteristic
477	#88043	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61456	—	13	1	no	maximal, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂⁴×C₁₃	—	2	1	no	—
484	C₁₃×#41	—	2	2	no	—
485	C₁₃×#41	—	4	2	no	—
486	C₁₃×#41	—	4	1	no	—
487	C₁₃×#41	—	8	2	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₁₃	—	2	2	no	—
492	C₂×D₄×C₁₃	—	2	2	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	2	1	no	—
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
503	C₂×D₄×C₁₃	—	4	1	no	—
504	C₂×D₄×C₁₃	—	4	4	no	—
505	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	8	2	no	—
523	C₂²×C₄×C₁₃	—	8	2	no	—
524	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	—	2	1	no	—
541	#6127	—	2	2	no	—
542	#6127	—	2	2	no	—
543	#6127	—	4	1	no	—
544	#6127	—	4	1	no	—
545	#6127	—	4	4	no	—
546	C₂×D₅₂	—	2	1	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
549	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×Dic₂₆	—	2	2	no	—
557	C₂×Dic₂₆	—	2	1	no	—
558	C₂×Dic₂₆	—	2	1	no	—
559	C₂×Dic₂₆	—	4	1	no	—
560	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
561	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
574	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
575	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
577	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
578	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
579	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₁₃×C₂²⋊C₄	—	2	1	no	—
584	C₁₃×C₂²⋊C₄	—	2	1	no	—
585	C₁₃×C₂²⋊C₄	—	2	1	no	—
586	C₁₃×C₂²⋊C₄	—	2	1	no	—
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₁₃	—	2	1	no	—
609	C₄²×C₁₃	—	2	1	no	—
610	C₄²×C₁₃	—	2	1	no	—
611	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
612	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
613	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
614	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
615	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
616	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
617	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
620	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	—	2	1	no	—
623	C₂²⋊Dic₁₃	—	2	1	no	—
624	C₂²⋊Dic₁₃	—	2	1	no	—
625	#6107	—	2	2	no	—
626	#6107	—	4	1	no	—
627	#6106	—	2	2	no	—
628	#6106	—	4	1	no	—
629	#6105	—	2	2	no	—
630	#6105	—	2	2	no	—
631	#6105	—	2	2	no	—
632	#6105	—	2	2	no	—
633	#6105	—	4	1	no	—
634	#6105	#41	1	4	yes	complemented
635	#6104	—	2	2	no	—
636	#6104	—	2	2	no	—
637	#6104	—	2	2	no	—
638	#6104	—	4	1	no	—
639	#6104	—	4	1	no	—
640	#6104	—	4	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	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	C₄⋊Dic₁₃	—	2	1	no	—
654	C₄⋊Dic₁₃	—	2	1	no	—
655	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	—	2	1	no	—
673	C₄×Dic₁₃	—	2	1	no	—
674	C₄×Dic₁₃	—	2	1	no	—
675	C₄×Dic₁₃	—	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	—	4	1	no	—
681	C₂×#1055	—	2	2	no	—
682	C₂×#1055	—	2	2	no	—
683	C₂×#1055	—	4	1	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	#3481	D₁₃	1	1	yes	characteristic, complemented
694	#3480	—	13	1	no	—
695	#3403	—	13	1	no	—
696	#3388	—	13	1	no	—
697	#3371	—	13	1	no	—
698	#3370	—	13	1	no	—
699	#3350	—	13	1	no	—
700	#3346	—	13	1	no	—
701	#3339	—	13	1	no	—
702	#3318	—	13	1	no	—
703	#3316	—	13	1	no	—
704	#3311	—	13	1	no	—
705	#3309	—	13	1	no	—
706	#3301	—	13	1	no	—
707	#3297	—	13	1	no	—
708	#3282	—	13	1	no	—
709	#3268	—	13	1	no	—
710	#3265	—	13	1	no	—
711	#3183	—	13	1	no	—
712	#3180	—	13	1	no	—
713	#3180	—	13	1	no	—
714	#3117	—	13	1	no	—
715	#3115	—	13	1	no	—
716	#3114	—	13	1	no	—
717	#3111	—	13	1	no	—
718	#3111	—	13	1	no	—
719	#3109	—	13	1	no	—
720	#2970	—	13	1	no	—
721	C₄×AGL(1,ℤ/8)	—	13	1	no	—
722	#2943	—	13	1	no	—
723	C₂×#440	—	13	1	no	—
724	C₂³×C₁₃	—	2	1	no	—
725	C₂³×C₁₃	—	2	1	no	—
726	C₂³×C₁₃	—	2	1	no	—
727	C₂³×C₁₃	—	4	2	no	—
728	C₂³×C₁₃	—	4	2	no	—
729	C₂³×C₁₃	—	4	2	no	—
730	C₂³×C₁₃	—	4	2	no	—
731	C₂³×C₁₃	—	8	1	no	—
732	C₂³×C₁₃	—	8	1	no	—
733	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
734	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
735	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
736	C₂²×D₁₃	—	2	1	no	—
737	C₂²×D₁₃	—	2	1	no	—
738	Q₈×C₁₃	—	2	1	no	—
739	Q₈×C₁₃	—	2	1	no	—
740	Q₈×C₁₃	—	4	1	no	—
741	Q₈×C₁₃	—	8	1	no	—
742	D₄×C₁₃	—	2	2	no	—
743	D₄×C₁₃	—	2	2	no	—
744	D₄×C₁₃	—	2	1	no	—
745	D₄×C₁₃	—	2	1	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	2	1	no	—
748	D₄×C₁₃	—	2	1	no	—
749	D₄×C₁₃	—	4	1	no	—
750	D₄×C₁₃	—	4	2	no	—
751	D₄×C₁₃	—	4	2	no	—
752	D₄×C₁₃	—	4	2	no	—
753	D₄×C₁₃	—	4	2	no	—
754	D₄×C₁₃	—	4	2	no	—
755	D₄×C₁₃	—	4	2	no	—
756	D₄×C₁₃	—	8	1	no	—
757	D₄×C₁₃	—	8	1	no	—
758	D₄×C₁₃	—	8	1	no	—
759	D₄×C₁₃	C₂×#41	1	2	yes	—
760	C₂×C₄×C₁₃	—	2	2	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	1	no	—
775	C₂×C₄×C₁₃	—	4	1	no	—
776	C₂×C₄×C₁₃	—	4	1	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	—	4	2	no	—
782	C₂×C₄×C₁₃	—	8	1	no	—
783	C₂×C₄×C₁₃	—	8	1	no	—
784	C₂×C₄×C₁₃	—	8	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
800	C₂²⋊D₁₃	—	4	2	no	—
801	C₂²⋊D₁₃	—	4	2	no	—
802	C₂²⋊D₁₃	—	4	2	no	—
803	C₂²⋊D₁₃	—	4	2	no	—
804	C₂²⋊D₁₃	—	8	1	no	—
805	C₂²⋊D₁₃	—	8	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	2	1	no	—
809	C₂×Dic₁₃	—	2	1	no	—
810	C₂×Dic₁₃	—	2	1	no	—
811	C₂×Dic₁₃	—	2	1	no	—
812	C₂×Dic₁₃	—	4	2	no	—
813	C₂×Dic₁₃	—	8	1	no	—
814	D₅₂	—	2	1	no	—
815	D₅₂	—	2	1	no	—
816	D₅₂	—	2	1	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	4	2	no	—
819	D₅₂	—	8	1	no	—
820	C₄×D₁₃	—	4	2	no	—
821	C₄×D₁₃	—	4	2	no	—
822	C₄×D₁₃	—	4	2	no	—
823	C₄×D₁₃	—	4	2	no	—
824	C₄×D₁₃	—	8	1	no	—
825	C₄×D₁₃	—	8	1	no	—
826	Dic₂₆	—	2	1	no	—
827	Dic₂₆	—	2	1	no	—
828	Dic₂₆	—	2	1	no	—
829	Dic₂₆	—	4	2	no	—
830	Dic₂₆	—	4	2	no	—
831	Dic₂₆	C₂×#41	1	2	yes	—
832	#1055	—	2	1	no	—
833	#1055	—	2	1	no	—
834	#1055	—	2	1	no	—
835	#1055	—	2	1	no	—
836	#1055	—	2	1	no	—
837	#1055	—	2	1	no	—
838	#1055	—	2	1	no	—
839	#1055	C₂×#41	1	2	yes	—
840	C₂×AGL(1,ℤ/8)	—	13	1	no	—
841	C₂×#135	—	13	1	no	—
842	C₂²×SD₁₆	—	13	1	no	—
843	#559	—	13	1	no	—
844	#559	—	26	1	no	—
845	#559	C₂×D₁₃	1	1	yes	characteristic
846	#557	—	13	1	no	—
847	#556	—	13	1	no	—
848	#556	—	26	1	no	—
849	#554	C₂×D₁₃	1	1	yes	characteristic
850	#554	C₂×D₁₃	1	1	yes	characteristic
851	#553	—	2	1	no	—
852	#553	—	13	1	no	—
853	#553	—	13	1	no	—
854	#553	—	26	1	no	—
855	#553	—	26	1	no	—
856	#553	C₂×D₁₃	1	1	yes	characteristic
857	#553	C₂×D₁₃	1	1	yes	characteristic
858	#551	—	2	1	no	—
859	#551	—	2	1	no	—
860	#550	—	13	1	no	—
861	#548	—	13	1	no	—
862	#548	—	13	1	no	—
863	#546	—	2	1	no	—
864	#546	C₂×D₁₃	1	1	yes	characteristic
865	#546	C₂×D₁₃	1	1	yes	characteristic
866	D₄²	C₂×D₁₃	1	1	yes	characteristic
867	#532	—	13	1	no	—
868	#532	—	26	1	no	—
869	#532	C₂×D₁₃	1	1	yes	characteristic
870	#529	—	2	1	no	—
871	#529	—	13	1	no	—
872	#529	—	13	1	no	—
873	#529	—	26	1	no	—
874	#529	—	26	1	no	—
875	#529	C₂×D₁₃	1	1	yes	characteristic
876	#529	C₂×D₁₃	1	1	yes	characteristic
877	#525	—	2	1	no	—
878	#525	—	2	1	no	—
879	C₄×#41	—	13	1	no	—
880	C₄×#41	—	13	1	no	—
881	C₄×#41	—	26	1	no	—
882	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
883	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
884	C₂×C₄×Q₈	—	13	1	no	—
885	C₂×C₄×D₄	—	2	1	no	—
886	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
887	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
888	#501	—	13	1	no	—
889	#501	—	13	1	no	—
890	#499	—	13	1	no	—
891	#496	—	13	1	no	—
892	#496	—	13	1	no	—
893	#495	—	13	1	no	—
894	#490	—	13	1	no	—
895	#490	—	13	1	no	—
896	#489	—	13	1	no	—
897	#489	—	13	1	no	—
898	#488	—	13	1	no	—
899	#488	—	13	1	no	—
900	#485	—	13	1	no	—
901	#485	—	13	1	no	—
902	#484	—	13	1	no	—
903	#483	—	13	1	no	—
904	#482	—	13	1	no	—
905	#482	—	13	1	no	—
906	#482	—	13	1	no	—
907	#482	—	13	1	no	—
908	#481	—	13	1	no	—
909	#481	—	13	1	no	—
910	#481	—	13	1	no	—
911	#480	—	13	1	no	—
912	#479	—	13	1	no	—
913	#479	—	13	1	no	—
914	#479	—	13	1	no	—
915	#479	—	13	1	no	—
916	#478	—	13	1	no	—
917	#478	—	13	1	no	—
918	#478	—	13	1	no	—
919	#478	—	13	1	no	—
920	#476	—	13	1	no	—
921	#476	—	13	1	no	—
922	#475	—	13	1	no	—
923	#474	—	13	1	no	—
924	#470	—	13	1	no	—
925	#469	—	13	1	no	—
926	#468	—	13	1	no	—
927	#468	—	13	1	no	—
928	#466	—	13	1	no	—
929	#466	—	13	1	no	—
930	#466	—	13	1	no	—
931	#466	—	13	1	no	—
932	#465	—	13	1	no	—
933	#465	—	13	1	no	—
934	#465	—	13	1	no	—
935	#465	—	13	1	no	—
936	#464	—	13	1	no	—
937	#464	—	13	1	no	—
938	#464	—	13	1	no	—
939	#464	—	13	1	no	—
940	#463	—	13	1	no	—
941	#463	—	13	1	no	—
942	#463	—	13	1	no	—
943	#463	—	13	1	no	—
944	#460	—	13	1	no	—
945	#459	—	13	1	no	—
946	#459	—	13	1	no	—
947	#459	—	13	1	no	—
948	#452	—	13	1	no	—
949	#452	—	13	1	no	—
950	#451	—	13	1	no	—
951	#450	—	13	1	no	—
952	#449	—	13	1	no	—
953	#449	—	13	1	no	—
954	#449	—	13	1	no	—
955	#449	—	13	1	no	—
956	#448	—	13	1	no	—
957	#447	—	13	1	no	—
958	#447	—	13	1	no	—
959	#447	—	13	1	no	—
960	#446	—	13	1	no	—
961	#446	—	13	1	no	—
962	#442	—	13	1	no	—
963	#442	—	13	1	no	—
964	#442	—	13	1	no	—
965	#442	—	13	1	no	—
966	#442	—	13	1	no	—
967	#442	—	13	1	no	—
968	#442	—	13	1	no	—
969	#441	—	13	1	no	—
970	#441	—	13	1	no	—
971	#441	—	13	1	no	—
972	#440	—	13	1	no	—
973	#440	—	13	1	no	—
974	#440	—	13	1	no	—
975	#440	—	13	1	no	—
976	#440	—	13	1	no	—
977	#440	—	13	1	no	—
978	#440	—	13	1	no	—
979	#440	—	13	1	no	—
980	#440	—	13	1	no	—
981	#440	—	13	1	no	—
982	#440	—	13	1	no	—
983	#440	—	13	1	no	—
984	#440	—	13	1	no	—
985	#440	—	13	1	no	—
986	C₄×SD₁₆	—	13	1	no	—
987	C₄×SD₁₆	—	13	1	no	—
988	C₄×D₈	—	13	1	no	—
989	C₄×D₈	—	13	1	no	—
990	#435	—	13	1	no	—
991	#435	—	13	1	no	—
992	#435	—	13	1	no	—
993	#435	—	13	1	no	—
994	C₈×D₄	—	13	1	no	—
995	C₈×D₄	—	13	1	no	—
996	#432	—	13	1	no	—
997	#432	—	13	1	no	—
998	#432	—	13	1	no	—
999	#428	—	13	1	no	—
1000	#427	—	13	1	no	—
1001	C₂×#107	—	13	1	no	—
1002	#418	—	13	1	no	—
1003	#417	—	13	1	no	—
1004	#416	—	13	1	no	—
1005	#416	—	13	1	no	—
1006	C₂×#103	—	13	1	no	—
1007	C₂×#102	—	13	1	no	—
1008	C₄×M₁₆	—	13	1	no	—
1009	C₂×#97	—	13	1	no	—
1010	C₂×#97	—	13	1	no	—
1011	C₂²×C₁₃	—	2	1	no	—
1012	C₂²×C₁₃	—	2	1	no	—
1013	C₂²×C₁₃	—	2	1	no	—
1014	C₂²×C₁₃	—	2	1	no	—
1015	C₂²×C₁₃	—	2	1	no	—
1016	C₂²×C₁₃	—	2	1	no	—
1017	C₂²×C₁₃	—	2	2	no	—
1018	C₂²×C₁₃	—	2	1	no	—
1019	C₂²×C₁₃	—	2	1	no	—
1020	C₂²×C₁₃	—	4	1	no	—
1021	C₂²×C₁₃	—	4	1	no	—
1022	C₂²×C₁₃	—	4	1	no	—
1023	C₂²×C₁₃	—	4	1	no	—
1024	C₂²×C₁₃	—	4	1	no	—
1025	C₂²×C₁₃	—	4	1	no	—
1026	C₂²×C₁₃	—	4	1	no	—
1027	C₂²×C₁₃	—	4	1	no	—
1028	C₂²×C₁₃	—	8	4	no	—
1029	C₂²×C₁₃	—	8	4	no	—
1030	C₂²×C₁₃	#575	1	2	yes	—
1031	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1032	C₂×D₁₃	—	4	1	no	—
1033	C₂×D₁₃	—	4	1	no	—
1034	C₂×D₁₃	—	4	1	no	—
1035	C₂×D₁₃	—	4	1	no	—
1036	C₂×D₁₃	—	4	1	no	—
1037	C₂×D₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	2	1	no	—
1039	C₄×C₁₃	—	2	1	no	—
1040	C₄×C₁₃	—	2	1	no	—
1041	C₄×C₁₃	—	2	1	no	—
1042	C₄×C₁₃	—	2	1	no	—
1043	C₄×C₁₃	—	2	1	no	—
1044	C₄×C₁₃	—	2	1	no	—
1045	C₄×C₁₃	—	2	1	no	—
1046	C₄×C₁₃	—	2	1	no	—
1047	C₄×C₁₃	—	2	1	no	—
1048	C₄×C₁₃	—	2	1	no	—
1049	C₄×C₁₃	—	4	1	no	—
1050	C₄×C₁₃	—	4	1	no	—
1051	C₄×C₁₃	—	4	1	no	—
1052	C₄×C₁₃	—	4	1	no	—
1053	C₄×C₁₃	—	4	1	no	—
1054	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1055	C₄×C₁₃	#585	1	1	yes	characteristic
1056	Dic₁₃	—	2	2	no	—
1057	Dic₁₃	—	4	1	no	—
1058	Dic₁₃	—	4	1	no	—
1059	Dic₁₃	—	4	1	no	—
1060	Dic₁₃	—	4	1	no	—
1061	Dic₁₃	—	4	1	no	—
1062	C₂×#41	—	2	1	no	—
1063	C₂×#41	—	13	1	no	—
1064	C₂×#41	—	13	1	no	—
1065	C₂×#41	—	26	1	no	—
1066	C₂×#41	C₂²⋊D₁₃	1	1	yes	characteristic
1067	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1068	C₂²×Q₈	—	13	1	no	—
1069	C₂²×D₄	—	2	1	no	—
1070	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1071	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1072	C₂³×C₄	—	2	1	no	—
1073	C₂³×C₄	—	2	1	no	—
1074	AGL(1,ℤ/8)	—	26	4	no	—
1075	#135	—	26	4	no	—
1076	C₂×Q₁₆	—	13	1	no	—
1077	C₂×Q₁₆	—	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	—	13	1	no	—
1083	C₂×SD₁₆	—	13	1	no	—
1084	C₂×SD₁₆	—	13	1	no	—
1085	C₂×SD₁₆	—	13	1	no	—
1086	C₂×SD₁₆	—	26	4	no	—
1087	C₂×D₈	—	13	1	no	—
1088	C₂×D₈	—	13	1	no	—
1089	C₂×D₈	—	13	1	no	—
1090	C₂×D₈	—	13	1	no	—
1091	C₂×D₈	—	13	1	no	—
1092	C₂×D₈	—	13	1	no	—
1093	C₂×M₁₆	—	13	1	no	—
1094	C₂×M₁₆	—	13	1	no	—
1095	C₂²×C₈	—	13	1	no	—
1096	C₂²×C₈	—	13	1	no	—
1097	C₂²×C₈	—	13	1	no	—
1098	C₂²×C₈	—	13	1	no	—
1099	C₄⋊Q₈	—	13	1	no	—
1100	C₄⋊Q₈	—	26	1	no	—
1101	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1102	#127	—	13	1	no	—
1103	#127	—	26	1	no	—
1104	#127	C₂²×D₁₃	1	1	yes	characteristic
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	2	1	no	—
1108	#126	—	2	1	no	—
1109	#126	—	26	1	no	—
1110	#126	—	26	1	no	—
1111	#126	—	26	1	no	—
1112	#126	—	26	1	no	—
1113	#126	—	26	1	no	—
1114	#126	—	26	1	no	—
1115	#125	—	2	1	no	—
1116	#125	—	13	1	no	—
1117	#125	—	13	1	no	—
1118	#125	—	26	1	no	—
1119	#125	—	26	1	no	—
1120	#125	C₂²×D₁₃	1	1	yes	characteristic
1121	#125	C₂²×D₁₃	1	1	yes	characteristic
1122	#124	—	2	1	no	—
1123	#124	—	2	1	no	—
1124	#124	—	13	1	no	—
1125	#124	—	13	1	no	—
1126	#124	—	26	1	no	—
1127	#124	—	26	1	no	—
1128	#124	—	26	1	no	—
1129	#124	—	26	1	no	—
1130	#124	—	26	1	no	—
1131	#124	C₂²×D₁₃	1	1	yes	characteristic
1132	#124	C₂²×D₁₃	1	1	yes	characteristic
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	—	26	1	no	—
1142	#123	—	26	1	no	—
1143	#123	—	26	1	no	—
1144	#123	—	26	1	no	—
1145	#123	—	26	1	no	—
1146	#123	—	26	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	13	1	no	—
1153	C₂²⋊Q₈	—	13	1	no	—
1154	C₂²⋊Q₈	—	26	1	no	—
1155	C₂²⋊Q₈	—	26	1	no	—
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	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	13	1	no	—
1165	#121	—	13	1	no	—
1166	#121	—	13	1	no	—
1167	#121	—	13	1	no	—
1168	#121	—	26	1	no	—
1169	#121	—	26	1	no	—
1170	#121	—	26	1	no	—
1171	#121	—	26	1	no	—
1172	#121	—	26	1	no	—
1173	#121	—	26	1	no	—
1174	#121	—	26	1	no	—
1175	#121	C₂²×D₁₃	1	1	yes	characteristic
1176	#121	C₂²×D₁₃	1	1	yes	characteristic
1177	#121	C₂²×D₁₃	1	1	yes	characteristic
1178	#121	C₂²×D₁₃	1	1	yes	characteristic
1179	#120	—	2	1	no	—
1180	#120	—	2	1	no	—
1181	#120	—	2	1	no	—
1182	#120	—	2	1	no	—
1183	C₄×Q₈	—	13	1	no	—
1184	C₄×Q₈	—	13	1	no	—
1185	C₄×Q₈	—	13	1	no	—
1186	C₄×Q₈	—	13	1	no	—
1187	C₄×Q₈	—	13	1	no	—
1188	C₄×Q₈	—	13	1	no	—
1189	C₄×Q₈	—	26	1	no	—
1190	C₄×Q₈	—	26	1	no	—
1191	C₄×Q₈	—	26	1	no	—
1192	C₄×Q₈	—	26	1	no	—
1193	C₄×Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1194	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1195	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1196	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	2	1	no	—
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	13	1	no	—
1211	C₄×D₄	—	13	1	no	—
1212	C₄×D₄	—	13	1	no	—
1213	C₄×D₄	—	13	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	—	26	1	no	—
1223	C₄×D₄	—	26	1	no	—
1224	C₄×D₄	—	26	1	no	—
1225	C₄×D₄	—	26	1	no	—
1226	C₄×D₄	—	26	1	no	—
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	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1231	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1232	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1233	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1234	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1235	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1236	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1237	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1238	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1239	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1240	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1241	#117	—	2	1	no	—
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	13	1	no	—
1245	#117	—	13	1	no	—
1246	#117	—	26	1	no	—
1247	#117	—	26	1	no	—
1248	#117	—	26	1	no	—
1249	#117	—	26	1	no	—
1250	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1251	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1252	#117	C₂²⋊D₁₃	1	1	yes	characteristic
1253	#117	C₂²×D₁₃	1	1	yes	characteristic
1254	C₂×C₄⋊C₄	—	2	1	no	—
1255	C₂×C₄⋊C₄	—	13	1	no	—
1256	C₂×C₄⋊C₄	—	26	1	no	—
1257	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1258	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1259	C₂×C₂²⋊C₄	—	2	1	no	—
1260	C₂×C₂²⋊C₄	—	2	1	no	—
1261	C₂×C₂²⋊C₄	—	2	1	no	—
1262	C₂×C₂²⋊C₄	—	2	1	no	—
1263	C₂×C₄²	—	2	1	no	—
1264	C₂×C₄²	—	26	1	no	—
1265	C₂×C₄²	—	26	1	no	—
1266	C₂×C₄²	—	26	1	no	—
1267	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1269	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1270	#107	—	13	1	no	—
1271	#107	—	13	1	no	—
1272	#107	—	13	1	no	—
1273	#107	—	13	1	no	—
1274	#107	—	13	1	no	—
1275	#107	—	13	1	no	—
1276	#107	—	13	1	no	—
1277	#107	—	13	1	no	—
1278	#106	—	13	1	no	—
1279	#106	—	13	1	no	—
1280	#106	—	13	1	no	—
1281	#106	—	13	1	no	—
1282	#106	—	13	1	no	—
1283	#106	—	13	1	no	—
1284	#106	—	13	1	no	—
1285	#106	—	13	1	no	—
1286	C₄⋊C₈	—	13	1	no	—
1287	C₄⋊C₈	—	13	1	no	—
1288	C₄⋊C₈	—	13	1	no	—
1289	C₄⋊C₈	—	13	1	no	—
1290	C₄⋊C₈	—	13	1	no	—
1291	C₄⋊C₈	—	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	#103	—	13	1	no	—
1302	#103	—	13	1	no	—
1303	#103	—	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	#102	—	13	1	no	—
1318	#102	—	13	1	no	—
1319	#102	—	13	1	no	—
1320	#102	—	13	1	no	—
1321	#102	—	13	1	no	—
1322	#102	—	13	1	no	—
1323	#102	—	13	1	no	—
1324	C₂²⋊C₈	—	13	1	no	—
1325	C₂²⋊C₈	—	13	1	no	—
1326	C₂²⋊C₈	—	13	1	no	—
1327	C₂²⋊C₈	—	13	1	no	—
1328	C₂²⋊C₈	—	13	1	no	—
1329	C₂²⋊C₈	—	13	1	no	—
1330	#97	—	13	1	no	—
1331	#97	—	13	1	no	—
1332	#97	—	13	1	no	—
1333	#97	—	13	1	no	—
1334	#97	—	13	1	no	—
1335	#97	—	13	1	no	—
1336	#97	—	13	1	no	—
1337	#97	—	13	1	no	—
1338	C₄×C₈	—	13	1	no	—
1339	C₄×C₈	—	13	1	no	—
1340	C₂×C₁₃	—	2	2	no	—
1341	C₂×C₁₃	—	4	1	no	—
1342	C₂×C₁₃	—	4	1	no	—
1343	C₂×C₁₃	—	4	2	no	—
1344	C₂×C₁₃	—	8	1	no	—
1345	C₂×C₁₃	—	8	1	no	—
1346	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1347	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1348	C₂×C₁₃	#3585	1	1	yes	characteristic
1349	D₁₃	—	8	1	no	—
1350	D₁₃	—	8	1	no	—
1351	C₂⁴	—	2	1	no	—
1352	C₂⁴	—	2	1	no	—
1353	#41	—	2	2	no	—
1354	#41	—	4	2	no	—
1355	#41	—	4	1	no	—
1356	#41	—	8	2	no	—
1357	#41	—	26	2	no	—
1358	#41	—	26	2	no	—
1359	#41	—	52	1	no	—
1360	#41	—	52	1	no	—
1361	#41	—	52	4	no	—
1362	C₂×Q₈	—	2	1	no	—
1363	C₂×Q₈	—	13	1	no	—
1364	C₂×Q₈	—	13	1	no	—
1365	C₂×Q₈	—	26	2	no	—
1366	C₂×Q₈	—	26	1	no	—
1367	C₂×Q₈	—	26	1	no	—
1368	C₂×Q₈	—	52	1	no	—
1369	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1370	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1371	C₂×D₄	—	2	2	no	—
1372	C₂×D₄	—	2	2	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	4	1	no	—
1383	C₂×D₄	—	4	1	no	—
1384	C₂×D₄	—	4	4	no	—
1385	C₂×D₄	—	13	1	no	—
1386	C₂×D₄	—	13	1	no	—
1387	C₂×D₄	—	26	1	no	—
1388	C₂×D₄	—	26	1	no	—
1389	C₂×D₄	—	26	1	no	—
1390	C₂×D₄	—	26	1	no	—
1391	C₂×D₄	—	26	1	no	—
1392	C₂×D₄	—	26	1	no	—
1393	C₂×D₄	—	26	1	no	—
1394	C₂×D₄	—	26	1	no	—
1395	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1396	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1397	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1398	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1399	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1400	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	8	2	no	—
1413	C₂²×C₄	—	8	2	no	—
1414	C₂²×C₄	—	26	1	no	—
1415	C₂²×C₄	—	26	1	no	—
1416	C₂²×C₄	—	26	1	no	—
1417	C₂²×C₄	—	26	1	no	—
1418	C₂²×C₄	—	26	1	no	—
1419	C₂²×C₄	—	26	1	no	—
1420	C₂²×C₄	—	26	1	no	—
1421	C₂²×C₄	—	26	1	no	—
1422	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1423	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1424	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1425	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1426	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1427	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1428	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1429	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1430	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1431	Q₁₆	—	26	2	no	—
1432	Q₁₆	—	52	1	no	—
1433	SD₁₆	—	13	4	no	—
1434	SD₁₆	—	26	2	no	—
1435	SD₁₆	—	26	2	no	—
1436	SD₁₆	—	26	2	no	—
1437	SD₁₆	—	26	2	no	—
1438	SD₁₆	—	26	2	no	—
1439	SD₁₆	—	52	1	no	—
1440	SD₁₆	—	52	1	no	—
1441	D₈	—	26	2	no	—
1442	D₈	—	26	2	no	—
1443	D₈	—	26	2	no	—
1444	D₈	—	52	1	no	—
1445	D₈	—	52	1	no	—
1446	D₈	—	52	1	no	—
1447	M₁₆	—	26	2	no	—
1448	M₁₆	—	52	1	no	—
1449	C₂×C₈	—	13	1	no	—
1450	C₂×C₈	—	13	1	no	—
1451	C₂×C₈	—	13	1	no	—
1452	C₂×C₈	—	13	1	no	—
1453	C₂×C₈	—	13	1	no	—
1454	C₂×C₈	—	13	1	no	—
1455	C₂×C₈	—	13	1	no	—
1456	C₂×C₈	—	13	1	no	—
1457	C₂×C₈	—	26	2	no	—
1458	C₂×C₈	—	26	2	no	—
1459	C₂×C₈	—	52	1	no	—
1460	C₂×C₈	—	52	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	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	13	1	no	—
1473	C₄⋊C₄	—	13	1	no	—
1474	C₄⋊C₄	—	13	1	no	—
1475	C₄⋊C₄	—	13	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	—	26	1	no	—
1485	C₄⋊C₄	—	26	1	no	—
1486	C₄⋊C₄	—	26	1	no	—
1487	C₄⋊C₄	—	26	1	no	—
1488	C₄⋊C₄	—	26	1	no	—
1489	C₄⋊C₄	—	26	1	no	—
1490	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1496	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1497	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1498	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1499	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	26	1	no	—
1520	C₂²⋊C₄	—	26	1	no	—
1521	C₂²⋊C₄	—	26	1	no	—
1522	C₂²⋊C₄	—	26	1	no	—
1523	C₂²⋊C₄	—	26	1	no	—
1524	C₂²⋊C₄	—	26	1	no	—
1525	C₂²⋊C₄	—	26	1	no	—
1526	C₂²⋊C₄	—	26	1	no	—
1527	C₂²⋊C₄	—	26	1	no	—
1528	C₂²⋊C₄	—	26	1	no	—
1529	C₂²⋊C₄	—	26	1	no	—
1530	C₂²⋊C₄	—	26	1	no	—
1531	C₂²⋊C₄	—	26	1	no	—
1532	C₂²⋊C₄	—	26	1	no	—
1533	C₂²⋊C₄	—	26	1	no	—
1534	C₂²⋊C₄	—	26	1	no	—
1535	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1536	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1537	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1538	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1541	C₄²	—	2	1	no	—
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	26	1	no	—
1545	C₄²	—	26	1	no	—
1546	C₄²	—	26	1	no	—
1547	C₄²	—	26	1	no	—
1548	C₄²	—	26	1	no	—
1549	C₄²	—	26	1	no	—
1550	C₄²	—	26	1	no	—
1551	C₄²	—	26	1	no	—
1552	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1553	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1554	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1555	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1556	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1557	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1558	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1559	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1560	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1561	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1562	C₁₃	#61456	1	1	yes	characteristic, complemented, Sylow
1563	C₂³	—	2	1	no	—
1564	C₂³	—	2	1	no	—
1565	C₂³	—	2	1	no	—
1566	C₂³	—	4	2	no	—
1567	C₂³	—	4	2	no	—
1568	C₂³	—	4	2	no	—
1569	C₂³	—	4	2	no	—
1570	C₂³	—	8	1	no	—
1571	C₂³	—	8	1	no	—
1572	C₂³	—	26	1	no	—
1573	C₂³	—	26	1	no	—
1574	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1575	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1576	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	4	1	no	—
1580	Q₈	—	8	1	no	—
1581	Q₈	—	13	2	no	—
1582	Q₈	—	26	1	no	—
1583	Q₈	—	26	1	no	—
1584	Q₈	—	26	1	no	—
1585	Q₈	—	52	2	no	—
1586	Q₈	—	52	2	no	—
1587	D₄	—	2	2	no	—
1588	D₄	—	2	2	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	2	1	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	4	1	no	—
1595	D₄	—	4	2	no	—
1596	D₄	—	4	2	no	—
1597	D₄	—	4	2	no	—
1598	D₄	—	4	2	no	—
1599	D₄	—	4	2	no	—
1600	D₄	—	4	2	no	—
1601	D₄	—	8	1	no	—
1602	D₄	—	8	1	no	—
1603	D₄	—	8	1	no	—
1604	D₄	—	26	1	no	—
1605	D₄	—	26	1	no	—
1606	D₄	—	26	1	no	—
1607	D₄	—	26	1	no	—
1608	D₄	—	52	2	no	—
1609	D₄	—	52	2	no	—
1610	D₄	—	52	2	no	—
1611	D₄	—	52	2	no	—
1612	D₄	—	52	2	no	—
1613	D₄	—	104	1	no	—
1614	D₄	—	104	1	no	—
1615	D₄	—	104	1	no	—
1616	D₄	#41×D₁₃	1	2	yes	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	4	1	no	—
1630	C₂×C₄	—	4	1	no	—
1631	C₂×C₄	—	4	1	no	—
1632	C₂×C₄	—	4	1	no	—
1633	C₂×C₄	—	4	1	no	—
1634	C₂×C₄	—	4	2	no	—
1635	C₂×C₄	—	4	2	no	—
1636	C₂×C₄	—	4	2	no	—
1637	C₂×C₄	—	4	2	no	—
1638	C₂×C₄	—	4	2	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	1	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	26	1	no	—
1646	C₂×C₄	—	26	1	no	—
1647	C₂×C₄	—	26	1	no	—
1648	C₂×C₄	—	26	1	no	—
1649	C₂×C₄	—	26	1	no	—
1650	C₂×C₄	—	26	1	no	—
1651	C₂×C₄	—	52	2	no	—
1652	C₂×C₄	—	52	2	no	—
1653	C₂×C₄	—	52	2	no	—
1654	C₂×C₄	—	52	2	no	—
1655	C₂×C₄	—	52	2	no	—
1656	C₂×C₄	—	104	1	no	—
1657	C₂×C₄	—	104	1	no	—
1658	C₂×C₄	—	104	1	no	—
1659	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1660	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1661	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1662	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1663	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1664	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1665	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1666	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1667	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1668	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1669	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1670	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1671	C₈	—	13	2	no	—
1672	C₈	—	26	1	no	—
1673	C₈	—	26	1	no	—
1674	C₈	—	26	1	no	—
1675	C₈	—	26	1	no	—
1676	C₈	—	26	1	no	—
1677	C₈	—	26	1	no	—
1678	C₈	—	26	1	no	—
1679	C₂²	—	2	1	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	2	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	8	4	no	—
1697	C₂²	—	8	4	no	—
1698	C₂²	—	52	1	no	—
1699	C₂²	—	52	1	no	—
1700	C₂²	—	52	1	no	—
1701	C₂²	—	52	1	no	—
1702	C₂²	—	52	1	no	—
1703	C₂²	—	52	1	no	—
1704	C₂²	#11719527	1	2	yes	—
1705	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	1	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	1	no	—
1714	C₄	—	2	1	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	4	1	no	—
1718	C₄	—	4	1	no	—
1719	C₄	—	4	1	no	—
1720	C₄	—	4	1	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	26	2	no	—
1723	C₄	—	52	1	no	—
1724	C₄	—	52	1	no	—
1725	C₄	—	52	1	no	—
1726	C₄	—	52	1	no	—
1727	C₄	—	52	1	no	—
1728	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1729	C₄	#11719648	1	1	yes	characteristic
1730	C₂	—	2	2	no	—
1731	C₂	—	4	1	no	—
1732	C₂	—	4	1	no	—
1733	C₂	—	4	2	no	—
1734	C₂	—	8	1	no	—
1735	C₂	—	8	1	no	—
1736	C₂	—	104	1	no	—
1737	C₂	—	104	1	no	—
1738	C₂	#41×C₂²⋊D₁₃	1	1	yes	characteristic
1739	C₂	C₂×#11719527	1	1	yes	characteristic
1740	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×#3481	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3481	D₁₃
hypocenter	C₁₃	#61456
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×#41 ◁ #3481

Complements

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

N	H ≅ G/N	type
1. #13128429	C₂	semidirect
2. #13127920	C₂	semidirect
3. #13127781	C₂	semidirect
4. #13127598	C₂	semidirect
5. #13127589	C₂	semidirect
6. #13127375	C₂	semidirect
7. #13127315	C₂	semidirect
8. #13127232	C₂	semidirect
9. #13126977	C₂	semidirect
10. #13126941	C₂	semidirect
11. #13126872	C₂	semidirect
12. #13126836	C₂	semidirect
13. #13126732	C₂	semidirect
14. #13126686	C₂	semidirect
15. #13126539	C₂	semidirect
16. #13126372	C₂	semidirect
17. #13126327	C₂	semidirect
18. #13125559	C₂	semidirect
19. #13125535	C₂	semidirect
20. #13125528	C₂	semidirect
21. #13125003	C₂	semidirect
22. #13124981	C₂	semidirect
23. #13124974	C₂	semidirect
24. #13124945	C₂	semidirect
25. #13124939	C₂	semidirect
26. #13124927	C₂	semidirect
27. #13123850	C₂	semidirect
28. C₄×#88186	C₂	semidirect
29. #13123634	C₂	semidirect
30. C₂×#11718679	C₂	semidirect
31. C₁₃×#3481	C₂	semidirect
59. #11719290	C₂²	semidirect
61. #11719272	C₂²	semidirect
63. #11719270	C₂²	semidirect
65. #11719258	C₂²	semidirect
67. #11719257	C₂²	semidirect
68. #11719247	C₂²	semidirect
74. #11719184	C₂²	semidirect
75. #11719184	C₂²	semidirect
76. #11719182	C₂²	semidirect
77. C₄×#6127	C₂²	semidirect
78. C₄×#6127	C₂²	semidirect
79. C₂×C₄×Dic₂₆	C₂²	semidirect
89. #11718755	C₂²	semidirect
90. #11718750	C₂²	semidirect
91. #11718748	C₂²	semidirect
92. #11718741	C₂²	semidirect
97. #11718729	C₂²	semidirect
98. #11718728	C₂²	semidirect
99. #11718727	C₂²	semidirect
100. #11718726	C₂²	semidirect
101. #11718725	C₂²	semidirect
102. #11718724	C₂²	semidirect
103. #11718724	C₂²	semidirect
104. #11718724	C₂²	semidirect
105. #11718720	C₂²	semidirect
106. #11718719	C₂²	semidirect
107. #11718718	C₂²	semidirect
108. #11718717	C₂²	semidirect
109. #11718716	C₂²	semidirect
110. #11718715	C₂²	semidirect
111. #11718715	C₂²	semidirect
112. #11718715	C₂²	semidirect
113. #11718713	C₂²	semidirect
114. #11718711	C₂²	semidirect
115. #11718710	C₂²	semidirect
116. #11718709	C₂²	semidirect
117. #11718709	C₂²	semidirect
118. #11718708	C₂²	semidirect
119. #11718706	C₂²	semidirect
120. #11718705	C₂²	semidirect
122. #11718702	C₂²	semidirect
123. #11718702	C₂²	semidirect
128. #11718699	C₂²	semidirect
129. #11718699	C₂²	semidirect
131. #11718698	C₂²	semidirect
132. #11718698	C₂²	semidirect
134. #11718696	C₂²	semidirect
135. #11718696	C₂²	semidirect
137. #11718691	C₂²	semidirect
138. #11718691	C₂²	semidirect
139. #11718691	C₂²	semidirect
140. #11718689	C₂²	semidirect
141. #11718687	C₂²	semidirect
142. #11718687	C₂²	semidirect
143. #11718687	C₂²	semidirect
144. #11718685	C₂²	semidirect
145. #11718685	C₂²	semidirect
146. #11718683	C₂²	semidirect
152. #11718679	C₂²	semidirect
153. #11718679	C₂²	semidirect
154. #11718679	C₂²	semidirect
155. #11718679	C₂²	semidirect
156. #11718679	C₂²	semidirect
157. #11718679	C₂²	semidirect
159. C₄×#6105	C₂²	semidirect
162. #11718677	C₂²	semidirect
164. #11718676	C₂²	semidirect
168. #11718675	C₂²	semidirect
169. #11718675	C₂²	semidirect
170. #11718675	C₂²	semidirect
171. #11718675	C₂²	semidirect
173. C₄×#6104	C₂²	semidirect
176. #11718672	C₂²	semidirect
177. #11718672	C₂²	semidirect
178. D₄×#1055	C₂²	semidirect
179. D₄×#1055	C₂²	semidirect
182. #11718670	C₂²	semidirect
184. #11718669	C₂²	semidirect
185. #11718664	C₂²	semidirect
186. #11718663	C₂²	semidirect
187. #11718659	C₂²	semidirect
188. #11718657	C₂²	semidirect
189. #11718632	C₂²	semidirect
190. C₂×#88050	C₂²	semidirect
191. #11718629	C₂²	semidirect
192. #11718629	C₂²	semidirect
193. #11718628	C₂²	semidirect
194. #11718627	C₂²	semidirect
195. #11718625	C₂²	semidirect
196. C₂×#88047	C₂²	semidirect
197. #11718587	C₂²	semidirect
198. #11718587	C₂²	semidirect
199. #11718587	C₂²	semidirect
200. C₄×#6099	C₂²	semidirect
201. C₂×#88043	C₂²	semidirect
202. C₂×#88043	C₂²	semidirect
634. #6105	#41	semidirect
693. #3481	D₁₃	semidirect
1562. C₁₃	#61456	semidirect

Maximal subgroups

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

subgroup	index
#13128429	2
#13127920	2
#13127781	2
#13127598	2
#13127589	2
#13127375	2
#13127315	2
#13127232	2
#13126977	2
#13126941	2
#13126872	2
#13126836	2
#13126732	2
#13126686	2
#13126539	2
#13126372	2
#13126327	2
#13125559	2
#13125535	2
#13125528	2
#13125003	2
#13124981	2
#13124974	2
#13124945	2
#13124939	2
#13124927	2
#13123850	2
C₄×#88186	2
#13123634	2
C₂×#11718679	2
C₁₃×#3481	2
#61456	13