Subgroups — #16071511

Order 3328.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123159	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123135	C₂	1	1	yes	maximal, characteristic, complemented
3	#13122517	C₂	1	1	yes	maximal, characteristic, complemented
4	#13122469	C₂	1	1	yes	maximal, characteristic, complemented
5	#13122368	C₂	1	1	yes	maximal, characteristic, complemented
6	#13122175	C₂	1	1	yes	maximal, characteristic, complemented
7	#13122113	C₂	1	1	yes	maximal, characteristic, complemented
8	#13121989	C₂	1	1	yes	maximal, characteristic, complemented
9	#13121896	C₂	1	1	yes	maximal, characteristic, complemented
10	#13121879	C₂	1	1	yes	maximal, characteristic, complemented
11	#13121848	C₂	1	1	yes	maximal, characteristic, complemented
12	#13121341	C₂	1	1	yes	maximal, characteristic, complemented
13	#13121257	C₂	1	1	yes	maximal, characteristic, complemented
14	#13121215	C₂	1	1	yes	maximal, characteristic, complemented
15	#13121211	C₂	1	1	yes	maximal, characteristic, complemented
16	#13121164	C₂	1	1	yes	maximal, characteristic
17	#13121121	C₂	1	1	yes	maximal, characteristic, complemented
18	#13120864	C₂	1	1	yes	maximal, characteristic, complemented
19	#13120855	C₂	1	1	yes	maximal, characteristic, complemented
20	#13120445	C₂	1	1	yes	maximal, characteristic, complemented
21	#13120358	C₂	1	1	yes	maximal, characteristic, complemented
22	#13119931	C₂	1	1	yes	maximal, characteristic, complemented
23	#13119721	C₂	1	1	yes	maximal, characteristic, complemented
24	#13119693	C₂	1	1	yes	maximal, characteristic, complemented
25	#13119687	C₂	1	1	yes	maximal, characteristic, complemented
26	#13118525	C₂	1	1	yes	maximal, characteristic, complemented
27	#13118214	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117621	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117430	C₂	1	1	yes	maximal, characteristic, complemented
30	#13117272	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2701	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
34	C₂×#88191	C₂²	1	1	yes	characteristic
35	C₂×#88191	C₂²	1	1	yes	characteristic
36	C₂×#88190	C₂²	1	1	yes	characteristic
37	C₂×#88183	C₂²	1	1	yes	characteristic
38	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88146	C₂²	1	1	yes	characteristic
41	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88139	C₂²	1	1	yes	characteristic
43	C₂×#88137	C₂²	1	1	yes	characteristic
44	C₂×#88137	C₂²	1	1	yes	characteristic
45	C₂×#88135	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
47	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#396	C₂²	1	1	yes	characteristic
50	C₁₃×#394	C₂²	1	1	yes	characteristic
51	C₁₃×#394	C₂²	1	1	yes	characteristic
52	C₁₃×#394	C₂²	1	1	yes	characteristic
53	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#388	C₂²	1	1	yes	characteristic
56	C₁₃×#386	C₂²	1	1	yes	characteristic
57	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#381	C₂²	1	1	yes	characteristic, complemented
60	#11718884	C₂²	1	1	yes	characteristic
61	#11718884	C₂²	1	1	yes	characteristic
62	#11718883	C₂²	1	1	yes	characteristic
63	#11718882	C₂²	1	1	yes	characteristic
64	#11718882	C₂²	1	1	yes	characteristic
65	#11718881	C₂²	1	1	yes	characteristic
66	#11718881	C₂²	1	1	yes	characteristic
67	#11718881	C₂²	1	1	yes	characteristic, complemented
68	#11718881	C₂²	1	1	yes	characteristic, complemented
69	#11718874	C₂²	1	1	yes	characteristic
70	#11718874	C₂²	1	1	yes	characteristic
71	#11718874	C₂²	1	1	yes	characteristic
72	#11718873	C₂²	1	1	yes	characteristic, complemented
73	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
74	#11718655	C₂²	1	1	yes	characteristic
75	#11718655	C₂²	1	1	yes	characteristic
76	#11718655	C₂²	1	1	yes	characteristic
77	#11718655	C₂²	1	1	yes	characteristic
78	#11718654	C₂²	1	1	yes	characteristic
79	#11718654	C₂²	1	1	yes	characteristic
80	#11718654	C₂²	1	1	yes	characteristic
81	#11718653	C₂²	1	1	yes	characteristic
82	#11718651	C₂²	1	1	yes	characteristic
83	#11718651	C₂²	1	1	yes	characteristic
84	#11718651	C₂²	1	1	yes	characteristic
85	#11718651	C₂²	1	1	yes	characteristic
86	#11718651	C₂²	1	1	yes	characteristic
87	#11718648	C₂²	1	1	yes	characteristic
88	#11718648	C₂²	1	1	yes	characteristic
89	#11718647	C₂²	1	1	yes	characteristic, complemented
90	#11718647	C₂²	1	1	yes	characteristic, complemented
91	#11718647	C₂²	1	1	yes	characteristic, complemented
92	#11718646	C₂²	1	1	yes	characteristic, complemented
93	#11718643	C₂²	1	1	yes	characteristic, complemented
94	#11718642	C₂²	1	1	yes	characteristic, complemented
95	#11718640	C₂²	1	1	yes	characteristic, complemented
96	#11718639	C₂²	1	1	yes	characteristic, complemented
97	#11718639	C₂²	1	1	yes	characteristic, complemented
98	#11718639	C₂²	1	1	yes	characteristic, complemented
99	#11718638	C₂²	1	1	yes	characteristic, complemented
100	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
101	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
102	#11718635	C₂²	1	1	yes	characteristic, complemented
103	#11718635	C₂²	1	1	yes	characteristic, complemented
104	#11718622	C₂²	1	1	yes	characteristic
105	#11718622	C₂²	1	1	yes	characteristic
106	#11718622	C₂²	1	1	yes	characteristic
107	#11718622	C₂²	1	1	yes	characteristic
108	#11718622	C₂²	1	1	yes	characteristic
109	#11718622	C₂²	1	1	yes	characteristic
110	#11718619	C₂²	1	1	yes	characteristic
111	#11718619	C₂²	1	1	yes	characteristic
112	#11718619	C₂²	1	1	yes	characteristic
113	#11718618	C₂²	1	1	yes	characteristic
114	#11718618	C₂²	1	1	yes	characteristic
115	#11718617	C₂²	1	1	yes	characteristic
116	#11718616	C₂²	1	1	yes	characteristic
117	#11718616	C₂²	1	1	yes	characteristic
118	#11718616	C₂²	1	1	yes	characteristic
119	#11718616	C₂²	1	1	yes	characteristic
120	#11718614	C₂²	1	1	yes	characteristic
121	#11718614	C₂²	1	1	yes	characteristic
122	#11718614	C₂²	1	1	yes	characteristic
123	#11718613	C₂²	1	1	yes	characteristic
124	#11718613	C₂²	1	1	yes	characteristic, complemented
125	#11718613	C₂²	1	1	yes	characteristic, complemented
126	#11718613	C₂²	1	1	yes	characteristic, complemented
127	#11718612	C₂²	1	1	yes	characteristic
128	#11718612	C₂²	1	1	yes	characteristic
129	#11718612	C₂²	1	1	yes	characteristic
130	#11718612	C₂²	1	1	yes	characteristic
131	#11718612	C₂²	1	1	yes	characteristic, complemented
132	#11718612	C₂²	1	1	yes	characteristic, complemented
133	#11718611	C₂²	1	1	yes	characteristic, complemented
134	#11718611	C₂²	1	1	yes	characteristic, complemented
135	#11718611	C₂²	1	1	yes	characteristic, complemented
136	#11718609	C₂²	1	1	yes	characteristic
137	#11718609	C₂²	1	1	yes	characteristic
138	#11718609	C₂²	1	1	yes	characteristic, complemented
139	#11718608	C₂²	1	1	yes	characteristic
140	#11718608	C₂²	1	1	yes	characteristic, complemented
141	#11718606	C₂²	1	1	yes	characteristic
142	#11718606	C₂²	1	1	yes	characteristic
143	#11718606	C₂²	1	1	yes	characteristic, complemented
144	#11718606	C₂²	1	1	yes	characteristic, complemented
145	#11718606	C₂²	1	1	yes	characteristic, complemented
146	#11718606	C₂²	1	1	yes	characteristic, complemented
147	#11718605	C₂²	1	1	yes	characteristic
148	#11718605	C₂²	1	1	yes	characteristic
149	#11718605	C₂²	1	1	yes	characteristic, complemented
150	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
151	#11718601	C₂²	1	1	yes	characteristic
152	C₄×#6103	C₂²	1	1	yes	characteristic
153	#11718597	C₂²	1	1	yes	characteristic, complemented
154	#11718589	C₂²	1	1	yes	characteristic, complemented
155	#11718335	C₂²	1	1	yes	characteristic
156	#11718334	C₂²	1	1	yes	characteristic
157	#11718334	C₂²	1	1	yes	characteristic
158	#11718334	C₂²	1	1	yes	characteristic
159	#11718331	C₂²	1	1	yes	characteristic
160	#11718331	C₂²	1	1	yes	characteristic
161	#11718331	C₂²	1	1	yes	characteristic
162	#11718331	C₂²	1	1	yes	characteristic
163	#11718331	C₂²	1	1	yes	characteristic
164	#11718330	C₂²	1	1	yes	characteristic
165	#11718330	C₂²	1	1	yes	characteristic
166	#11718330	C₂²	1	1	yes	characteristic
167	#11718329	C₂²	1	1	yes	characteristic
168	#11718328	C₂²	1	1	yes	characteristic
169	#11718327	C₂²	1	1	yes	characteristic
170	#11718325	C₂²	1	1	yes	characteristic
171	#11718322	C₂²	1	1	yes	characteristic, complemented
172	#11718322	C₂²	1	1	yes	characteristic, complemented
173	#11718321	C₂²	1	1	yes	characteristic, complemented
174	#11718318	C₂²	1	1	yes	characteristic, complemented
175	#11718316	C₂²	1	1	yes	characteristic, complemented
176	#11718316	C₂²	1	1	yes	characteristic, complemented
177	#11718316	C₂²	1	1	yes	characteristic, complemented
178	#11718314	C₂²	1	1	yes	characteristic, complemented
179	#11718314	C₂²	1	1	yes	characteristic, complemented
180	#11718314	C₂²	1	1	yes	characteristic, complemented
181	#11718314	C₂²	1	1	yes	characteristic, complemented
182	#11718314	C₂²	1	1	yes	characteristic, complemented
183	#11718312	C₂²	1	1	yes	characteristic, complemented
184	#11718309	C₂²	1	1	yes	characteristic, complemented
185	#11718308	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
197	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
202	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
203	C₁₃×#123	—	4	2	no	—
204	C₁₃×#121	—	4	2	no	—
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	#88191	—	4	2	no	—
245	#88191	—	4	2	no	—
246	#88190	—	4	2	no	—
247	#88183	—	4	2	no	—
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	1	yes	characteristic
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	1	yes	characteristic
253	C₂×#6103	C₂³	1	1	yes	characteristic
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×#6103	C₂³	1	1	yes	characteristic
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	C₂³	1	1	yes	characteristic
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	1	yes	characteristic
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
281	#88178	—	4	2	no	—
282	C₂×#6101	C₂³	1	1	yes	characteristic
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	1	yes	characteristic
286	C₂×#6101	C₂³	1	1	yes	characteristic
287	C₂×#6101	C₂³	1	1	yes	characteristic
288	C₂×#6101	C₂³	1	1	yes	characteristic
289	C₂×#6101	C₂³	1	1	yes	characteristic
290	C₂×#6101	C₂³	1	1	yes	characteristic
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	—	4	2	no	—
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	#88146	—	4	2	no	—
305	#88142	—	4	2	no	—
306	#88139	—	4	2	no	—
307	#88137	—	2	4	no	—
308	#88137	—	4	2	no	—
309	#88135	—	2	4	no	—
310	C₂²⋊C₄×D₁₃	—	2	4	no	—
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	#88071	C₂³	1	1	yes	characteristic
320	#88071	C₂³	1	1	yes	characteristic
321	#88071	C₂³	1	1	yes	characteristic
322	#88071	C₂³	1	1	yes	characteristic
323	#88071	C₂³	1	1	yes	characteristic
324	#88071	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#36784	—	13	1	no	maximal, Sylow
358	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂³×D₁₃	—	2	2	no	—
362	C₂³×D₁₃	—	4	1	no	—
363	C₂³×D₁₃	—	4	1	no	—
364	C₂³×D₁₃	—	4	1	no	—
365	C₂³×D₁₃	—	4	1	no	—
366	C₂³×D₁₃	—	4	1	no	—
367	C₂³×D₁₃	—	4	1	no	—
368	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
369	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×D₄×C₁₃	—	2	2	no	—
371	C₂×D₄×C₁₃	—	2	2	no	—
372	C₂×D₄×C₁₃	—	2	2	no	—
373	C₂×D₄×C₁₃	—	4	1	no	—
374	C₂×D₄×C₁₃	—	4	1	no	—
375	C₂×D₄×C₁₃	—	4	1	no	—
376	C₂×D₄×C₁₃	—	4	1	no	—
377	C₂×D₄×C₁₃	—	4	1	no	—
378	C₂×D₄×C₁₃	—	4	1	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	4	1	no	—
382	C₂²×C₄×C₁₃	—	4	1	no	—
383	C₂²×C₄×C₁₃	—	4	1	no	—
384	C₂²×C₄×C₁₃	—	4	1	no	—
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₂²⋊D₁₃	—	2	2	no	—
398	C₂×C₂²⋊D₁₃	—	2	2	no	—
399	C₂×C₂²⋊D₁₃	—	2	2	no	—
400	C₂×C₂²⋊D₁₃	—	2	2	no	—
401	C₂×C₂²⋊D₁₃	—	4	1	no	—
402	C₂×C₂²⋊D₁₃	—	4	1	no	—
403	C₂×C₂²⋊D₁₃	—	4	1	no	—
404	C₂×C₂²⋊D₁₃	—	4	1	no	—
405	C₂×C₂²⋊D₁₃	—	4	1	no	—
406	C₂×C₂²⋊D₁₃	—	4	1	no	—
407	C₂×C₂²⋊D₁₃	—	4	1	no	—
408	C₂×C₂²⋊D₁₃	—	4	1	no	—
409	C₂²×Dic₁₃	—	2	2	no	—
410	C₂²×Dic₁₃	—	4	1	no	—
411	C₂²×Dic₁₃	—	4	1	no	—
412	C₂²×Dic₁₃	—	4	1	no	—
413	C₂²×Dic₁₃	—	4	1	no	—
414	C₂²×Dic₁₃	—	4	1	no	—
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
429	C₂×C₄×D₁₃	—	2	2	no	—
430	C₂×C₄×D₁₃	—	4	1	no	—
431	C₂×C₄×D₁₃	—	4	1	no	—
432	C₂×C₄×D₁₃	—	4	1	no	—
433	C₂×C₄×D₁₃	—	4	1	no	—
434	C₂×C₄×D₁₃	#41	1	4	yes	—
435	C₂×Dic₂₆	—	2	2	no	—
436	C₂×Dic₂₆	—	4	1	no	—
437	C₂×Dic₂₆	—	4	1	no	—
438	C₂×Dic₂₆	—	4	1	no	—
439	C₂×Dic₂₆	—	4	1	no	—
440	C₂×Dic₂₆	—	4	1	no	—
441	C₁₃×C₄⋊C₄	—	2	2	no	—
442	C₁₃×C₄⋊C₄	—	4	1	no	—
443	C₁₃×C₄⋊C₄	—	4	1	no	—
444	C₁₃×C₄⋊C₄	—	4	1	no	—
445	C₁₃×C₄⋊C₄	—	4	1	no	—
446	C₁₃×C₄⋊C₄	—	4	1	no	—
447	C₁₃×C₄⋊C₄	—	4	1	no	—
448	C₁₃×C₄⋊C₄	—	4	1	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	2	no	—
451	C₁₃×C₂²⋊C₄	—	2	2	no	—
452	C₁₃×C₂²⋊C₄	—	2	2	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	—	4	1	no	—
455	C₁₃×C₂²⋊C₄	—	4	1	no	—
456	C₁₃×C₂²⋊C₄	—	4	1	no	—
457	C₁₃×C₂²⋊C₄	—	4	1	no	—
458	C₁₃×C₂²⋊C₄	—	4	1	no	—
459	C₁₃×C₂²⋊C₄	—	4	1	no	—
460	C₁₃×C₂²⋊C₄	—	4	1	no	—
461	C₁₃×C₂²⋊C₄	—	4	1	no	—
462	C₄²×C₁₃	—	4	1	no	—
463	C₂²⋊Dic₁₃	—	2	2	no	—
464	C₂²⋊Dic₁₃	—	2	2	no	—
465	C₂²⋊Dic₁₃	—	2	2	no	—
466	C₂²⋊Dic₁₃	—	2	2	no	—
467	C₂²⋊Dic₁₃	—	4	1	no	—
468	C₂²⋊Dic₁₃	—	4	1	no	—
469	C₂²⋊Dic₁₃	—	4	1	no	—
470	C₂²⋊Dic₁₃	—	4	1	no	—
471	C₂²⋊Dic₁₃	—	4	1	no	—
472	C₂²⋊Dic₁₃	—	4	1	no	—
473	C₂²⋊Dic₁₃	—	4	1	no	—
474	C₂²⋊Dic₁₃	—	4	1	no	—
475	C₂²⋊Dic₁₃	—	4	1	no	—
476	C₂²⋊Dic₁₃	—	4	1	no	—
477	C₂²⋊Dic₁₃	—	4	1	no	—
478	C₂²⋊Dic₁₃	—	4	1	no	—
479	C₂²⋊Dic₁₃	—	4	1	no	—
480	#6103	—	2	2	no	—
481	#6103	—	2	2	no	—
482	#6103	—	2	2	no	—
483	#6103	—	2	2	no	—
484	#6103	—	2	2	no	—
485	#6103	—	2	2	no	—
486	#6103	—	4	1	no	—
487	#6103	—	4	1	no	—
488	#6103	—	4	1	no	—
489	#6103	—	4	1	no	—
490	#6103	—	4	1	no	—
491	#6103	—	4	1	no	—
492	#6103	—	4	1	no	—
493	#6103	—	4	1	no	—
494	#6103	—	4	1	no	—
495	#6103	—	4	1	no	—
496	#6103	—	4	1	no	—
497	#6103	—	4	1	no	—
498	#6103	—	4	1	no	—
499	#6103	—	4	1	no	—
500	#6103	—	4	1	no	—
501	#6103	—	4	1	no	—
502	C₄⋊Dic₁₃	—	2	2	no	—
503	C₄⋊Dic₁₃	—	4	1	no	—
504	C₄⋊Dic₁₃	—	4	1	no	—
505	C₄⋊Dic₁₃	—	4	1	no	—
506	C₄⋊Dic₁₃	—	4	1	no	—
507	C₄⋊Dic₁₃	—	4	1	no	—
508	C₄⋊Dic₁₃	—	4	1	no	—
509	C₄⋊Dic₁₃	—	4	1	no	—
510	C₄⋊Dic₁₃	—	4	1	no	—
511	C₄⋊Dic₁₃	—	4	1	no	—
512	C₄⋊Dic₁₃	—	4	1	no	—
513	#6101	—	2	2	no	—
514	#6101	—	2	2	no	—
515	#6101	—	2	2	no	—
516	#6101	—	4	1	no	—
517	#6101	—	4	1	no	—
518	#6101	—	4	1	no	—
519	#6101	—	4	1	no	—
520	#6101	—	4	1	no	—
521	#6101	—	4	1	no	—
522	#6101	—	4	1	no	—
523	C₄×Dic₁₃	—	2	2	no	—
524	C₄×Dic₁₃	—	2	2	no	—
525	C₄×Dic₁₃	—	2	2	no	—
526	C₄×Dic₁₃	—	4	1	no	—
527	C₄×Dic₁₃	—	4	1	no	—
528	C₄×Dic₁₃	—	4	1	no	—
529	C₄×Dic₁₃	—	4	1	no	—
530	C₄×Dic₁₃	—	4	1	no	—
531	C₄×Dic₁₃	—	4	1	no	—
532	C₄×Dic₁₃	—	4	1	no	—
533	C₄×Dic₁₃	—	4	1	no	—
534	#2853	—	13	1	no	—
535	#2850	—	13	1	no	—
536	#2783	—	13	1	no	—
537	#2779	—	13	1	no	—
538	#2772	—	13	1	no	—
539	#2757	—	13	1	no	—
540	#2753	—	13	1	no	—
541	#2744	—	13	1	no	—
542	#2737	—	13	1	no	—
543	#2735	—	13	1	no	—
544	#2731	—	13	1	no	—
545	#2701	D₁₃	1	1	yes	characteristic, complemented
546	#2693	—	13	1	no	—
547	#2687	—	13	1	no	—
548	#2684	—	13	1	no	—
549	#2684	—	13	1	no	—
550	#2678	—	13	1	no	—
551	#2674	—	13	1	no	—
552	#2651	—	13	1	no	—
553	#2650	—	13	1	no	—
554	#2602	—	13	1	no	—
555	#2595	—	13	1	no	—
556	#2557	—	13	1	no	—
557	#2534	—	13	1	no	—
558	#2532	—	13	1	no	—
559	#2531	—	13	1	no	—
560	#2439	—	13	1	no	—
561	#2411	—	13	1	no	—
562	#2335	—	13	1	no	—
563	#2312	—	13	1	no	—
564	#2290	—	13	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	2	1	no	—
568	C₂³×C₁₃	—	2	1	no	—
569	C₂³×C₁₃	—	2	1	no	—
570	C₂³×C₁₃	—	2	1	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	2	1	no	—
574	C₂³×C₁₃	—	2	1	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	—	2	1	no	—
577	C₂³×C₁₃	—	2	1	no	—
578	C₂³×C₁₃	—	2	1	no	—
579	C₂³×C₁₃	—	2	1	no	—
580	C₂³×C₁₃	—	2	1	no	—
581	C₂³×C₁₃	—	2	1	no	—
582	C₂³×C₁₃	—	2	1	no	—
583	C₂³×C₁₃	—	2	1	no	—
584	C₂³×C₁₃	—	2	1	no	—
585	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
586	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
587	C₂²×D₁₃	—	2	1	no	—
588	C₂²×D₁₃	—	2	1	no	—
589	C₂²×D₁₃	—	2	1	no	—
590	C₂²×D₁₃	—	2	1	no	—
591	C₂²×D₁₃	—	2	1	no	—
592	C₂²×D₁₃	—	2	1	no	—
593	C₂²×D₁₃	—	2	1	no	—
594	C₂²×D₁₃	—	2	1	no	—
595	C₂²×D₁₃	—	2	1	no	—
596	C₂²×D₁₃	—	2	1	no	—
597	C₂²×D₁₃	—	2	1	no	—
598	C₂²×D₁₃	—	2	1	no	—
599	C₂²×D₁₃	—	2	1	no	—
600	C₂²×D₁₃	—	4	4	no	—
601	C₂²×D₁₃	—	8	2	no	—
602	C₂²×D₁₃	—	8	2	no	—
603	C₂²×D₁₃	—	8	2	no	—
604	C₂²×D₁₃	—	8	2	no	—
605	C₂²×D₁₃	—	8	2	no	—
606	C₂²×D₁₃	—	8	2	no	—
607	C₂²×D₁₃	C₂×#41	1	2	yes	—
608	D₄×C₁₃	—	8	2	no	—
609	D₄×C₁₃	—	8	2	no	—
610	D₄×C₁₃	—	8	2	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	4	4	no	—
646	C₂×C₄×C₁₃	—	8	2	no	—
647	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
648	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
649	C₂²⋊D₁₃	—	4	4	no	—
650	C₂²⋊D₁₃	—	8	2	no	—
651	C₂²⋊D₁₃	—	8	2	no	—
652	C₂²⋊D₁₃	—	8	2	no	—
653	C₂×Dic₁₃	—	2	1	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	2	1	no	—
694	C₂×Dic₁₃	—	4	4	no	—
695	C₂×Dic₁₃	—	4	4	no	—
696	C₂×Dic₁₃	C₂×#41	1	2	yes	—
697	C₄×D₁₃	—	4	4	no	—
698	C₄×D₁₃	—	8	2	no	—
699	Dic₂₆	—	8	2	no	—
700	Dic₂₆	—	8	2	no	—
701	C₂×C₄⋊Q₈	—	13	1	no	—
702	C₂×#124	—	13	1	no	—
703	C₂×#124	—	13	1	no	—
704	C₂×#123	—	13	1	no	—
705	C₂×#123	—	13	1	no	—
706	C₂×#123	—	13	1	no	—
707	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
708	C₂×C₂²⋊Q₈	—	13	1	no	—
709	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
710	C₂×#120	—	13	1	no	—
711	C₂×#120	—	13	1	no	—
712	C₂×C₄×D₄	—	13	1	no	—
713	C₂×#117	—	13	1	no	—
714	C₂²×C₂²⋊C₄	—	13	1	no	—
715	C₂²×C₄²	—	13	1	no	—
716	#400	—	13	1	no	—
717	#400	—	13	1	no	—
718	#400	—	13	1	no	—
719	#400	—	13	1	no	—
720	#400	—	13	1	no	—
721	#399	—	13	1	no	—
722	#398	—	13	1	no	—
723	#398	—	13	1	no	—
724	#398	—	13	1	no	—
725	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
726	#397	—	13	1	no	—
727	#397	—	13	1	no	—
728	#397	—	13	1	no	—
729	#397	—	13	1	no	—
730	#397	—	13	1	no	—
731	#397	—	13	1	no	—
732	#397	—	13	1	no	—
733	#397	—	13	1	no	—
734	#397	—	13	1	no	—
735	#397	—	13	1	no	—
736	#397	—	13	1	no	—
737	#397	C₂×D₁₃	1	1	yes	characteristic, complemented
738	#396	—	13	1	no	—
739	#396	—	13	1	no	—
740	#396	—	13	1	no	—
741	#396	—	13	1	no	—
742	#396	—	13	1	no	—
743	#396	—	13	1	no	—
744	#396	—	13	1	no	—
745	#396	C₂×D₁₃	1	1	yes	characteristic
746	#395	—	13	1	no	—
747	#394	—	13	1	no	—
748	#394	—	13	1	no	—
749	#394	—	13	1	no	—
750	#394	—	13	1	no	—
751	#394	—	13	1	no	—
752	#394	—	13	1	no	—
753	#394	—	13	1	no	—
754	#394	C₂×D₁₃	1	1	yes	characteristic
755	#394	C₂×D₁₃	1	1	yes	characteristic
756	#394	C₂×D₁₃	1	1	yes	characteristic
757	#393	—	13	1	no	—
758	#393	—	13	1	no	—
759	#393	—	13	1	no	—
760	#393	—	13	1	no	—
761	#393	—	13	1	no	—
762	#392	—	13	1	no	—
763	#392	—	13	1	no	—
764	#391	—	13	1	no	—
765	#391	—	13	1	no	—
766	#391	—	13	1	no	—
767	#390	—	13	1	no	—
768	#390	—	13	1	no	—
769	#390	—	13	1	no	—
770	#390	—	13	1	no	—
771	#390	C₂×D₁₃	1	1	yes	characteristic, complemented
772	#389	—	13	1	no	—
773	#389	—	13	1	no	—
774	#389	—	13	1	no	—
775	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
776	#388	—	13	1	no	—
777	#388	—	13	1	no	—
778	#388	—	13	1	no	—
779	#388	—	13	1	no	—
780	#388	—	13	1	no	—
781	#388	—	13	1	no	—
782	#388	—	13	1	no	—
783	#388	—	13	1	no	—
784	#388	—	13	1	no	—
785	#388	—	13	1	no	—
786	#388	—	13	1	no	—
787	#388	—	13	1	no	—
788	#388	—	13	1	no	—
789	#388	—	13	1	no	—
790	#388	—	13	1	no	—
791	#388	—	13	1	no	—
792	#388	—	13	1	no	—
793	#388	—	13	1	no	—
794	#388	—	13	1	no	—
795	#388	—	13	1	no	—
796	#388	—	13	1	no	—
797	#388	—	13	1	no	—
798	#388	—	13	1	no	—
799	#388	—	13	1	no	—
800	#388	—	13	1	no	—
801	#388	—	13	1	no	—
802	#388	—	13	1	no	—
803	#388	—	13	1	no	—
804	#388	—	13	1	no	—
805	#388	C₂×D₁₃	1	1	yes	characteristic
806	#387	—	13	1	no	—
807	#387	—	13	1	no	—
808	#387	—	13	1	no	—
809	#387	—	13	1	no	—
810	#387	—	13	1	no	—
811	#387	—	13	1	no	—
812	#387	—	13	1	no	—
813	#387	—	13	1	no	—
814	#387	—	13	1	no	—
815	#387	—	13	1	no	—
816	#387	—	13	1	no	—
817	#387	—	13	1	no	—
818	#386	—	13	1	no	—
819	#386	—	13	1	no	—
820	#386	—	13	1	no	—
821	#386	—	13	1	no	—
822	#386	—	13	1	no	—
823	#386	—	13	1	no	—
824	#386	—	13	1	no	—
825	#386	—	13	1	no	—
826	#386	—	13	1	no	—
827	#386	—	13	1	no	—
828	#386	—	13	1	no	—
829	#386	C₂×D₁₃	1	1	yes	characteristic
830	#385	—	13	1	no	—
831	#385	—	13	1	no	—
832	#385	—	13	1	no	—
833	#385	—	13	1	no	—
834	#385	C₂×D₁₃	1	1	yes	characteristic, complemented
835	#385	C₂×D₁₃	1	1	yes	characteristic, complemented
836	#383	—	13	1	no	—
837	#382	—	13	1	no	—
838	#382	—	13	1	no	—
839	#381	—	13	1	no	—
840	#381	C₂×D₁₃	1	1	yes	characteristic, complemented
841	#380	—	13	1	no	—
842	#380	—	13	1	no	—
843	#380	—	13	1	no	—
844	#380	—	13	1	no	—
845	#379	—	13	1	no	—
846	#379	—	13	1	no	—
847	#379	—	13	1	no	—
848	#379	—	13	1	no	—
849	C₄×C₄⋊C₄	—	13	1	no	—
850	C₄×C₄⋊C₄	—	13	1	no	—
851	C₄×C₂²⋊C₄	—	13	1	no	—
852	C₄×C₂²⋊C₄	—	13	1	no	—
853	C₄×C₂²⋊C₄	—	13	1	no	—
854	C₄×C₂²⋊C₄	—	13	1	no	—
855	#376	—	13	1	no	—
856	C₂²×C₁₃	—	2	2	no	—
857	C₂²×C₁₃	—	2	2	no	—
858	C₂²×C₁₃	—	2	2	no	—
859	C₂²×C₁₃	—	4	1	no	—
860	C₂²×C₁₃	—	4	1	no	—
861	C₂²×C₁₃	—	4	1	no	—
862	C₂²×C₁₃	—	4	1	no	—
863	C₂²×C₁₃	—	4	1	no	—
864	C₂²×C₁₃	—	4	1	no	—
865	C₂²×C₁₃	—	4	1	no	—
866	C₂²×C₁₃	—	4	1	no	—
867	C₂²×C₁₃	—	4	1	no	—
868	C₂²×C₁₃	—	4	1	no	—
869	C₂²×C₁₃	—	4	1	no	—
870	C₂²×C₁₃	—	4	1	no	—
871	C₂²×C₁₃	—	4	1	no	—
872	C₂²×C₁₃	—	4	1	no	—
873	C₂²×C₁₃	—	4	1	no	—
874	C₂²×C₁₃	—	4	1	no	—
875	C₂²×C₁₃	—	4	1	no	—
876	C₂²×C₁₃	—	4	1	no	—
877	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
878	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
879	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
880	C₂²×C₁₃	#585	1	1	yes	characteristic
881	C₂²×C₁₃	#585	1	1	yes	characteristic
882	C₂²×C₁₃	#585	1	1	yes	characteristic
883	C₂²×C₁₃	#585	1	1	yes	characteristic
884	C₂×D₁₃	—	2	2	no	—
885	C₂×D₁₃	—	2	2	no	—
886	C₂×D₁₃	—	2	2	no	—
887	C₂×D₁₃	—	4	1	no	—
888	C₂×D₁₃	—	4	1	no	—
889	C₂×D₁₃	—	4	1	no	—
890	C₂×D₁₃	—	4	1	no	—
891	C₂×D₁₃	—	4	1	no	—
892	C₂×D₁₃	—	4	1	no	—
893	C₂×D₁₃	—	4	1	no	—
894	C₂×D₁₃	—	4	1	no	—
895	C₂×D₁₃	—	4	1	no	—
896	C₂×D₁₃	—	4	1	no	—
897	C₂×D₁₃	—	4	1	no	—
898	C₂×D₁₃	—	8	8	no	—
899	C₄×C₁₃	—	2	2	no	—
900	C₄×C₁₃	—	2	2	no	—
901	C₄×C₁₃	—	4	1	no	—
902	C₄×C₁₃	—	4	1	no	—
903	C₄×C₁₃	—	4	1	no	—
904	C₄×C₁₃	—	4	1	no	—
905	C₄×C₁₃	—	4	1	no	—
906	C₄×C₁₃	—	4	1	no	—
907	C₄×C₁₃	—	4	1	no	—
908	C₄×C₁₃	—	4	1	no	—
909	C₄×C₁₃	—	4	1	no	—
910	C₄×C₁₃	—	4	1	no	—
911	Dic₁₃	—	2	2	no	—
912	Dic₁₃	—	4	1	no	—
913	Dic₁₃	—	4	1	no	—
914	Dic₁₃	—	4	1	no	—
915	Dic₁₃	—	4	1	no	—
916	Dic₁₃	—	4	1	no	—
917	Dic₁₃	—	4	1	no	—
918	Dic₁₃	—	4	1	no	—
919	Dic₁₃	—	4	1	no	—
920	Dic₁₃	—	4	1	no	—
921	Dic₁₃	—	4	1	no	—
922	Dic₁₃	—	4	1	no	—
923	Dic₁₃	—	4	1	no	—
924	Dic₁₃	—	4	1	no	—
925	C₂⁵	—	13	1	no	—
926	C₂²×Q₈	—	13	1	no	—
927	C₂²×Q₈	—	13	1	no	—
928	C₂²×D₄	—	13	1	no	—
929	C₂²×D₄	—	13	1	no	—
930	C₂²×D₄	—	13	1	no	—
931	C₂²×D₄	—	13	1	no	—
932	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
933	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
934	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
935	C₂³×C₄	—	13	1	no	—
936	C₂³×C₄	—	13	1	no	—
937	C₂³×C₄	—	13	1	no	—
938	C₂³×C₄	—	13	1	no	—
939	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
940	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
941	C₄⋊Q₈	—	52	2	no	—
942	#124	—	52	2	no	—
943	#124	—	52	2	no	—
944	#123	—	4	2	no	—
945	#123	—	26	4	no	—
946	#123	—	52	2	no	—
947	#123	—	52	2	no	—
948	C₂²⋊Q₈	—	52	2	no	—
949	#121	—	4	2	no	—
950	#120	—	52	2	no	—
951	#120	—	52	2	no	—
952	C₄×D₄	—	26	4	no	—
953	#117	—	52	2	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	1	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	—	13	1	no	—
973	C₂×C₄⋊C₄	—	13	1	no	—
974	C₂×C₄⋊C₄	—	13	1	no	—
975	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	—	13	1	no	—
984	C₂×C₂²⋊C₄	—	13	1	no	—
985	C₂×C₂²⋊C₄	—	13	1	no	—
986	C₂×C₂²⋊C₄	—	13	1	no	—
987	C₂×C₂²⋊C₄	—	13	1	no	—
988	C₂×C₂²⋊C₄	—	13	1	no	—
989	C₂×C₂²⋊C₄	—	13	1	no	—
990	C₂×C₂²⋊C₄	—	13	1	no	—
991	C₂×C₂²⋊C₄	—	13	1	no	—
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	1	no	—
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	1	no	—
1000	C₂×C₂²⋊C₄	—	13	1	no	—
1001	C₂×C₂²⋊C₄	—	13	1	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	1	no	—
1006	C₂×C₂²⋊C₄	—	13	1	no	—
1007	C₂×C₂²⋊C₄	—	13	1	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	1	no	—
1013	C₂×C₂²⋊C₄	—	13	1	no	—
1014	C₂×C₂²⋊C₄	—	13	1	no	—
1015	C₂×C₂²⋊C₄	—	13	1	no	—
1016	C₂×C₂²⋊C₄	—	13	1	no	—
1017	C₂×C₂²⋊C₄	—	13	1	no	—
1018	C₂×C₂²⋊C₄	—	13	1	no	—
1019	C₂×C₂²⋊C₄	—	13	1	no	—
1020	C₂×C₂²⋊C₄	—	13	1	no	—
1021	C₂×C₂²⋊C₄	—	13	1	no	—
1022	C₂×C₂²⋊C₄	—	26	4	no	—
1023	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1036	C₂×C₄²	—	13	1	no	—
1037	C₂×C₄²	—	13	1	no	—
1038	C₂×C₄²	—	13	1	no	—
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	13	1	no	—
1041	C₂×C₄²	—	13	1	no	—
1042	C₂×C₄²	—	13	1	no	—
1043	C₂×C₄²	—	13	1	no	—
1044	C₂×C₄²	—	13	1	no	—
1045	C₂×C₄²	—	13	1	no	—
1046	C₂×C₄²	—	13	1	no	—
1047	C₂×C₄²	—	52	2	no	—
1048	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	—	13	1	no	—
1067	#95	—	13	1	no	—
1068	#95	—	13	1	no	—
1069	#95	—	13	1	no	—
1070	#95	—	13	1	no	—
1071	#95	—	13	1	no	—
1072	#95	—	13	1	no	—
1073	#95	—	13	1	no	—
1074	#95	—	13	1	no	—
1075	#95	—	13	1	no	—
1076	#95	—	13	1	no	—
1077	#95	—	13	1	no	—
1078	#95	—	13	1	no	—
1079	#95	—	13	1	no	—
1080	#95	—	13	1	no	—
1081	#95	—	13	1	no	—
1082	#95	—	13	1	no	—
1083	#95	—	13	1	no	—
1084	#95	—	13	1	no	—
1085	#95	—	13	1	no	—
1086	#95	—	13	1	no	—
1087	#95	C₂²×D₁₃	1	1	yes	characteristic
1088	#95	C₂²×D₁₃	1	1	yes	characteristic
1089	#95	C₂²×D₁₃	1	1	yes	characteristic
1090	#95	C₂²×D₁₃	1	1	yes	characteristic
1091	#95	C₂²×D₁₃	1	1	yes	characteristic
1092	#95	C₂²×D₁₃	1	1	yes	characteristic
1093	#95	C₂²×D₁₃	1	1	yes	characteristic
1094	#95	C₂²×D₁₃	1	1	yes	characteristic
1095	C₂×C₁₃	—	4	2	no	—
1096	C₂×C₁₃	—	8	1	no	—
1097	C₂×C₁₃	—	8	1	no	—
1098	C₂×C₁₃	#3455	1	1	yes	characteristic
1099	C₂×C₁₃	#3494	1	1	yes	characteristic
1100	C₂×C₁₃	#3505	1	1	yes	characteristic
1101	C₂×C₁₃	#3534	1	1	yes	characteristic
1102	C₂×C₁₃	#3540	1	1	yes	characteristic
1103	C₂×C₁₃	#3545	1	1	yes	characteristic
1104	C₂×C₁₃	#3566	1	1	yes	characteristic
1105	D₁₃	—	4	2	no	—
1106	D₁₃	—	8	1	no	—
1107	C₂⁴	—	13	1	no	—
1108	C₂⁴	—	13	1	no	—
1109	C₂⁴	—	26	2	no	—
1110	C₂⁴	—	52	1	no	—
1111	C₂⁴	—	52	1	no	—
1112	C₂⁴	—	52	1	no	—
1113	C₂⁴	—	52	1	no	—
1114	C₂⁴	—	52	1	no	—
1115	C₂⁴	—	52	1	no	—
1116	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1117	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1118	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1119	C₂×Q₈	—	26	2	no	—
1120	C₂×Q₈	—	52	1	no	—
1121	C₂×Q₈	—	52	1	no	—
1122	C₂×Q₈	—	52	1	no	—
1123	C₂×Q₈	—	52	1	no	—
1124	C₂×Q₈	—	52	1	no	—
1125	C₂×D₄	—	2	2	no	—
1126	C₂×D₄	—	2	2	no	—
1127	C₂×D₄	—	2	2	no	—
1128	C₂×D₄	—	4	1	no	—
1129	C₂×D₄	—	4	1	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂×D₄	—	26	2	no	—
1135	C₂×D₄	—	26	2	no	—
1136	C₂×D₄	—	26	2	no	—
1137	C₂×D₄	—	26	2	no	—
1138	C₂×D₄	—	52	1	no	—
1139	C₂×D₄	—	52	1	no	—
1140	C₂×D₄	—	52	1	no	—
1141	C₂×D₄	—	52	1	no	—
1142	C₂×D₄	—	52	1	no	—
1143	C₂×D₄	—	52	1	no	—
1144	C₂×D₄	—	52	1	no	—
1145	C₂×D₄	—	52	1	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	—	4	1	no	—
1152	C₂²×C₄	—	13	1	no	—
1153	C₂²×C₄	—	13	4	no	—
1154	C₂²×C₄	—	13	1	no	—
1155	C₂²×C₄	—	13	1	no	—
1156	C₂²×C₄	—	13	1	no	—
1157	C₂²×C₄	—	13	1	no	—
1158	C₂²×C₄	—	13	1	no	—
1159	C₂²×C₄	—	13	1	no	—
1160	C₂²×C₄	—	13	1	no	—
1161	C₂²×C₄	—	13	1	no	—
1162	C₂²×C₄	—	13	1	no	—
1163	C₂²×C₄	—	13	1	no	—
1164	C₂²×C₄	—	13	1	no	—
1165	C₂²×C₄	—	13	1	no	—
1166	C₂²×C₄	—	13	1	no	—
1167	C₂²×C₄	—	26	2	no	—
1168	C₂²×C₄	—	26	2	no	—
1169	C₂²×C₄	—	52	1	no	—
1170	C₂²×C₄	—	52	1	no	—
1171	C₂²×C₄	—	52	1	no	—
1172	C₂²×C₄	—	52	1	no	—
1173	C₂²×C₄	—	52	1	no	—
1174	C₂²×C₄	—	52	1	no	—
1175	C₂²×C₄	—	52	1	no	—
1176	C₂²×C₄	—	52	1	no	—
1177	C₂²×C₄	—	52	1	no	—
1178	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	4	1	no	—
1192	C₄⋊C₄	—	4	1	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	26	2	no	—
1199	C₄⋊C₄	—	26	2	no	—
1200	C₄⋊C₄	—	26	2	no	—
1201	C₄⋊C₄	—	26	2	no	—
1202	C₄⋊C₄	—	52	1	no	—
1203	C₄⋊C₄	—	52	1	no	—
1204	C₄⋊C₄	—	52	1	no	—
1205	C₄⋊C₄	—	52	1	no	—
1206	C₄⋊C₄	—	52	1	no	—
1207	C₄⋊C₄	—	52	1	no	—
1208	C₄⋊C₄	—	52	1	no	—
1209	C₄⋊C₄	—	52	1	no	—
1210	C₄⋊C₄	—	52	1	no	—
1211	C₄⋊C₄	—	52	1	no	—
1212	C₄⋊C₄	—	52	1	no	—
1213	C₄⋊C₄	—	52	1	no	—
1214	C₄⋊C₄	—	52	1	no	—
1215	C₄⋊C₄	—	52	1	no	—
1216	C₄⋊C₄	—	52	1	no	—
1217	C₄⋊C₄	—	52	1	no	—
1218	C₄⋊C₄	—	52	1	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	26	2	no	—
1233	C₂²⋊C₄	—	26	2	no	—
1234	C₂²⋊C₄	—	26	2	no	—
1235	C₂²⋊C₄	—	26	2	no	—
1236	C₂²⋊C₄	—	26	2	no	—
1237	C₂²⋊C₄	—	26	2	no	—
1238	C₂²⋊C₄	—	26	2	no	—
1239	C₂²⋊C₄	—	26	2	no	—
1240	C₂²⋊C₄	—	26	2	no	—
1241	C₂²⋊C₄	—	26	2	no	—
1242	C₂²⋊C₄	—	52	1	no	—
1243	C₂²⋊C₄	—	52	1	no	—
1244	C₂²⋊C₄	—	52	1	no	—
1245	C₂²⋊C₄	—	52	1	no	—
1246	C₂²⋊C₄	—	52	1	no	—
1247	C₂²⋊C₄	—	52	1	no	—
1248	C₂²⋊C₄	—	52	1	no	—
1249	C₂²⋊C₄	—	52	1	no	—
1250	C₂²⋊C₄	—	52	1	no	—
1251	C₂²⋊C₄	—	52	1	no	—
1252	C₂²⋊C₄	—	52	1	no	—
1253	C₂²⋊C₄	—	52	1	no	—
1254	C₂²⋊C₄	—	52	1	no	—
1255	C₂²⋊C₄	—	52	1	no	—
1256	C₂²⋊C₄	—	52	1	no	—
1257	C₂²⋊C₄	—	52	1	no	—
1258	C₂²⋊C₄	—	52	1	no	—
1259	C₂²⋊C₄	—	52	1	no	—
1260	C₂²⋊C₄	—	52	1	no	—
1261	C₂²⋊C₄	—	52	1	no	—
1262	C₂²⋊C₄	—	52	1	no	—
1263	C₂²⋊C₄	—	52	1	no	—
1264	C₂²⋊C₄	—	52	1	no	—
1265	C₂²⋊C₄	—	52	1	no	—
1266	C₂²⋊C₄	—	52	1	no	—
1267	C₂²⋊C₄	—	52	1	no	—
1268	C₂²⋊C₄	—	52	1	no	—
1269	C₂²⋊C₄	—	52	1	no	—
1270	C₂²⋊C₄	—	52	1	no	—
1271	C₄²	—	4	1	no	—
1272	C₄²	—	26	2	no	—
1273	C₄²	—	26	2	no	—
1274	C₄²	—	26	2	no	—
1275	C₄²	—	52	1	no	—
1276	C₄²	—	52	1	no	—
1277	C₄²	—	52	1	no	—
1278	C₄²	—	52	1	no	—
1279	C₄²	—	52	1	no	—
1280	C₄²	—	52	1	no	—
1281	C₄²	—	52	1	no	—
1282	C₄²	—	52	1	no	—
1283	C₁₃	#36784	1	1	yes	characteristic, complemented, Sylow
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	13	2	no	—
1305	C₂³	—	26	1	no	—
1306	C₂³	—	26	1	no	—
1307	C₂³	—	26	1	no	—
1308	C₂³	—	26	1	no	—
1309	C₂³	—	26	1	no	—
1310	C₂³	—	26	1	no	—
1311	C₂³	—	26	1	no	—
1312	C₂³	—	26	1	no	—
1313	C₂³	—	26	1	no	—
1314	C₂³	—	26	1	no	—
1315	C₂³	—	26	1	no	—
1316	C₂³	—	26	1	no	—
1317	C₂³	—	26	1	no	—
1318	C₂³	—	52	4	no	—
1319	C₂³	—	104	2	no	—
1320	C₂³	—	104	2	no	—
1321	C₂³	—	104	2	no	—
1322	C₂³	—	104	2	no	—
1323	C₂³	—	104	2	no	—
1324	C₂³	—	104	2	no	—
1325	C₂³	#88251	1	2	yes	—
1326	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1327	Q₈	—	104	2	no	—
1328	Q₈	—	104	2	no	—
1329	D₄	—	8	2	no	—
1330	D₄	—	8	2	no	—
1331	D₄	—	8	2	no	—
1332	D₄	—	52	4	no	—
1333	D₄	—	104	2	no	—
1334	D₄	—	104	2	no	—
1335	D₄	—	104	2	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	8	2	no	—
1372	C₂×C₄	—	13	2	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	26	1	no	—
1377	C₂×C₄	—	26	1	no	—
1378	C₂×C₄	—	26	1	no	—
1379	C₂×C₄	—	26	1	no	—
1380	C₂×C₄	—	26	1	no	—
1381	C₂×C₄	—	26	1	no	—
1382	C₂×C₄	—	26	1	no	—
1383	C₂×C₄	—	26	1	no	—
1384	C₂×C₄	—	26	1	no	—
1385	C₂×C₄	—	26	1	no	—
1386	C₂×C₄	—	26	1	no	—
1387	C₂×C₄	—	26	1	no	—
1388	C₂×C₄	—	26	1	no	—
1389	C₂×C₄	—	26	1	no	—
1390	C₂×C₄	—	26	1	no	—
1391	C₂×C₄	—	26	1	no	—
1392	C₂×C₄	—	26	1	no	—
1393	C₂×C₄	—	26	1	no	—
1394	C₂×C₄	—	26	1	no	—
1395	C₂×C₄	—	26	1	no	—
1396	C₂×C₄	—	26	1	no	—
1397	C₂×C₄	—	26	1	no	—
1398	C₂×C₄	—	26	1	no	—
1399	C₂×C₄	—	26	1	no	—
1400	C₂×C₄	—	26	1	no	—
1401	C₂×C₄	—	26	1	no	—
1402	C₂×C₄	—	26	1	no	—
1403	C₂×C₄	—	26	1	no	—
1404	C₂×C₄	—	26	1	no	—
1405	C₂×C₄	—	26	1	no	—
1406	C₂×C₄	—	26	1	no	—
1407	C₂×C₄	—	26	1	no	—
1408	C₂×C₄	—	26	1	no	—
1409	C₂×C₄	—	26	1	no	—
1410	C₂×C₄	—	26	1	no	—
1411	C₂×C₄	—	26	1	no	—
1412	C₂×C₄	—	26	1	no	—
1413	C₂×C₄	—	26	1	no	—
1414	C₂×C₄	—	52	4	no	—
1415	C₂×C₄	—	52	4	no	—
1416	C₂×C₄	—	52	4	no	—
1417	C₂×C₄	—	104	2	no	—
1418	C₂×C₄	#41×D₁₃	1	2	yes	—
1419	C₂×C₄	#88256	1	2	yes	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	26	2	no	—
1442	C₂²	—	26	2	no	—
1443	C₂²	—	26	2	no	—
1444	C₂²	—	52	1	no	—
1445	C₂²	—	52	1	no	—
1446	C₂²	—	52	1	no	—
1447	C₂²	—	52	1	no	—
1448	C₂²	—	52	1	no	—
1449	C₂²	—	52	1	no	—
1450	C₂²	—	52	1	no	—
1451	C₂²	—	52	1	no	—
1452	C₂²	—	52	1	no	—
1453	C₂²	—	52	1	no	—
1454	C₂²	—	52	1	no	—
1455	C₂²	—	104	8	no	—
1456	C₂²	C₂×#88251	1	1	yes	characteristic
1457	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1458	C₂²	C₂×#88256	1	1	yes	characteristic
1459	C₂²	#11719650	1	1	yes	characteristic
1460	C₂²	#11719650	1	1	yes	characteristic
1461	C₂²	#11719650	1	1	yes	characteristic
1462	C₂²	#11719652	1	1	yes	characteristic
1463	C₄	—	2	2	no	—
1464	C₄	—	2	2	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	26	2	no	—
1476	C₄	—	52	1	no	—
1477	C₄	—	52	1	no	—
1478	C₄	—	52	1	no	—
1479	C₄	—	52	1	no	—
1480	C₄	—	52	1	no	—
1481	C₄	—	52	1	no	—
1482	C₄	—	52	1	no	—
1483	C₄	—	52	1	no	—
1484	C₄	—	52	1	no	—
1485	C₄	—	52	1	no	—
1486	C₄	—	52	1	no	—
1487	C₄	—	52	1	no	—
1488	C₄	—	52	1	no	—
1489	C₂	—	4	2	no	—
1490	C₂	—	8	1	no	—
1491	C₂	—	8	1	no	—
1492	C₂	—	52	2	no	—
1493	C₂	—	104	1	no	—
1494	C₂	#13128220	1	1	yes	characteristic
1495	C₂	#13128560	1	1	yes	characteristic
1496	C₂	#13128665	1	1	yes	characteristic
1497	C₂	#13129022	1	1	yes	characteristic
1498	C₂	#13129108	1	1	yes	characteristic
1499	C₂	#13129185	1	1	yes	characteristic
1500	C₂	#13129509	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2701	C₂
prime radical	#13121164	C₂
hypercenter	#2701	D₁₃
hypocenter	C₁₃	#36784
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2701

Complements

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

N	H ≅ G/N	type
1. #13123159	C₂	semidirect
2. #13123135	C₂	semidirect
3. #13122517	C₂	semidirect
4. #13122469	C₂	semidirect
5. #13122368	C₂	semidirect
6. #13122175	C₂	semidirect
7. #13122113	C₂	semidirect
8. #13121989	C₂	semidirect
9. #13121896	C₂	semidirect
10. #13121879	C₂	semidirect
11. #13121848	C₂	semidirect
12. #13121341	C₂	semidirect
13. #13121257	C₂	semidirect
14. #13121215	C₂	semidirect
15. #13121211	C₂	semidirect
17. #13121121	C₂	semidirect
18. #13120864	C₂	semidirect
19. #13120855	C₂	semidirect
20. #13120445	C₂	semidirect
21. #13120358	C₂	semidirect
22. #13119931	C₂	semidirect
23. #13119721	C₂	semidirect
24. #13119693	C₂	semidirect
25. #13119687	C₂	semidirect
26. #13118525	C₂	semidirect
27. #13118214	C₂	semidirect
28. #13117621	C₂	semidirect
29. #13117430	C₂	semidirect
30. #13117272	C₂	semidirect
31. C₁₃×#2701	C₂	semidirect
32. C₂×C₁₃×#123	C₂²	semidirect
38. C₂×#88178	C₂²	semidirect
39. C₂²×C₄×Dic₁₃	C₂²	semidirect
41. C₂×#88142	C₂²	semidirect
47. C₁₃×#398	C₂²	semidirect
48. C₁₃×#397	C₂²	semidirect
53. C₁₃×#390	C₂²	semidirect
54. C₁₃×#389	C₂²	semidirect
57. C₁₃×#385	C₂²	semidirect
58. C₁₃×#385	C₂²	semidirect
59. C₁₃×#381	C₂²	semidirect
67. #11718881	C₂²	semidirect
68. #11718881	C₂²	semidirect
72. #11718873	C₂²	semidirect
73. C₄×C₂²⋊Dic₁₃	C₂²	semidirect
89. #11718647	C₂²	semidirect
90. #11718647	C₂²	semidirect
91. #11718647	C₂²	semidirect
92. #11718646	C₂²	semidirect
93. #11718643	C₂²	semidirect
94. #11718642	C₂²	semidirect
95. #11718640	C₂²	semidirect
96. #11718639	C₂²	semidirect
97. #11718639	C₂²	semidirect
98. #11718639	C₂²	semidirect
99. #11718638	C₂²	semidirect
100. C₄⋊C₄×Dic₁₃	C₂²	semidirect
101. C₄⋊C₄×Dic₁₃	C₂²	semidirect
102. #11718635	C₂²	semidirect
103. #11718635	C₂²	semidirect
124. #11718613	C₂²	semidirect
125. #11718613	C₂²	semidirect
126. #11718613	C₂²	semidirect
131. #11718612	C₂²	semidirect
132. #11718612	C₂²	semidirect
133. #11718611	C₂²	semidirect
134. #11718611	C₂²	semidirect
135. #11718611	C₂²	semidirect
138. #11718609	C₂²	semidirect
140. #11718608	C₂²	semidirect
143. #11718606	C₂²	semidirect
144. #11718606	C₂²	semidirect
145. #11718606	C₂²	semidirect
146. #11718606	C₂²	semidirect
149. #11718605	C₂²	semidirect
150. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
153. #11718597	C₂²	semidirect
154. #11718589	C₂²	semidirect
171. #11718322	C₂²	semidirect
172. #11718322	C₂²	semidirect
173. #11718321	C₂²	semidirect
174. #11718318	C₂²	semidirect
175. #11718316	C₂²	semidirect
176. #11718316	C₂²	semidirect
177. #11718316	C₂²	semidirect
178. #11718314	C₂²	semidirect
179. #11718314	C₂²	semidirect
180. #11718314	C₂²	semidirect
181. #11718314	C₂²	semidirect
182. #11718314	C₂²	semidirect
183. #11718312	C₂²	semidirect
184. #11718309	C₂²	semidirect
185. #11718308	C₂²	semidirect
186. #11718307	C₂²	semidirect
545. #2701	D₁₃	semidirect
707. C₂×#123	C₂×D₁₃	semidirect
725. #398	C₂×D₁₃	semidirect
737. #397	C₂×D₁₃	semidirect
771. #390	C₂×D₁₃	semidirect
775. #389	C₂×D₁₃	semidirect
834. #385	C₂×D₁₃	semidirect
835. #385	C₂×D₁₃	semidirect
840. #381	C₂×D₁₃	semidirect
1283. C₁₃	#36784	semidirect

Maximal subgroups

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

subgroup	index
#13123159	2
#13123135	2
#13122517	2
#13122469	2
#13122368	2
#13122175	2
#13122113	2
#13121989	2
#13121896	2
#13121879	2
#13121848	2
#13121341	2
#13121257	2
#13121215	2
#13121211	2
#13121164	2
#13121121	2
#13120864	2
#13120855	2
#13120445	2
#13120358	2
#13119931	2
#13119721	2
#13119693	2
#13119687	2
#13118525	2
#13118214	2
#13117621	2
#13117430	2
#13117272	2
C₁₃×#2701	2
#36784	13