Subgroups — #13129269

Order 1664.

1004 conjugacy classes of subgroups.

The subgroup lattice has 946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	#11719417	C₂	1	1	yes	maximal, characteristic, complemented
3	#11719415	C₂	1	1	yes	maximal, characteristic, complemented
4	#11719407	C₂	1	1	yes	maximal, characteristic, complemented
5	#11719406	C₂	1	1	yes	maximal, characteristic, complemented
6	#11719404	C₂	1	1	yes	maximal, characteristic, complemented
7	#11719401	C₂	1	1	yes	maximal, characteristic, complemented
8	#11719394	C₂	1	1	yes	maximal, characteristic, complemented
9	#11719390	C₂	1	1	yes	maximal, characteristic, complemented
10	#11719370	C₂	1	1	yes	maximal, characteristic, complemented
11	#11719370	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719367	C₂	1	1	yes	maximal, characteristic, complemented
13	#11719360	C₂	1	1	yes	maximal, characteristic, complemented
14	#11719356	C₂	1	1	yes	maximal, characteristic, complemented
15	#11719354	C₂	1	1	yes	maximal, characteristic, complemented
16	#11719354	C₂	1	1	yes	maximal, characteristic, complemented
17	#11719353	C₂	1	1	yes	maximal, characteristic, complemented
18	#11719351	C₂	1	1	yes	maximal, characteristic, complemented
19	#11719341	C₂	1	1	yes	maximal, characteristic, complemented
20	#11719337	C₂	1	1	yes	maximal, characteristic, complemented
21	#11719337	C₂	1	1	yes	maximal, characteristic, complemented
22	#11719333	C₂	1	1	yes	maximal, characteristic, complemented
23	#11719328	C₂	1	1	yes	maximal, characteristic, complemented
24	#11719306	C₂	1	1	yes	maximal, characteristic, complemented
25	#11719303	C₂	1	1	yes	maximal, characteristic, complemented
26	#11719257	C₂	1	1	yes	maximal, characteristic, complemented
27	#11719245	C₂	1	1	yes	maximal, characteristic, complemented
28	#11719244	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×Dic₂₆	C₂	1	1	yes	maximal, characteristic, complemented
30	#11719220	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#88142	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×Q₈×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#6129	C₂²	1	1	yes	characteristic
34	C₂×#6127	C₂²	1	1	yes	characteristic
35	C₂²×Dic₂₆	C₂²	1	1	yes	characteristic
36	C₂²×Dic₂₆	C₂²	1	1	yes	characteristic
37	C₂²×Dic₂₆	C₂²	1	1	yes	characteristic
38	C₁₃×#126	C₂²	1	1	yes	characteristic
39	C₁₃×#126	C₂²	1	1	yes	characteristic
40	C₁₃×#125	C₂²	1	1	yes	characteristic
41	C₁₃×#125	C₂²	1	1	yes	characteristic
42	C₁₃×#123	C₂²	1	1	yes	characteristic
43	C₁₃×#123	C₂²	1	1	yes	characteristic
44	C₁₃×#123	C₂²	1	1	yes	characteristic
45	C₁₃×#123	C₂²	1	1	yes	characteristic
46	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
48	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
49	C₁₃×#121	C₂²	1	1	yes	characteristic
50	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
51	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
53	#88200	C₂²	1	1	yes	characteristic
54	#88198	C₂²	1	1	yes	characteristic
55	#88198	C₂²	1	1	yes	characteristic
56	#88193	C₂²	1	1	yes	characteristic
57	#88193	C₂²	1	1	yes	characteristic
58	#88193	C₂²	1	1	yes	characteristic
59	#88193	C₂²	1	1	yes	characteristic
60	#88193	C₂²	1	1	yes	characteristic
61	#88190	C₂²	1	1	yes	characteristic
62	#88189	C₂²	1	1	yes	characteristic
63	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
64	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
65	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
66	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
67	#88184	C₂²	1	1	yes	characteristic
68	#88183	C₂²	1	1	yes	characteristic
69	#88183	C₂²	1	1	yes	characteristic
70	#88183	C₂²	1	1	yes	characteristic
71	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
72	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
74	C₂×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
75	#88178	C₂²	1	1	yes	characteristic
76	#88178	C₂²	1	1	yes	characteristic
77	#88178	C₂²	1	1	yes	characteristic
78	#88178	C₂²	1	1	yes	characteristic
79	C₂×#6101	C₂²	1	1	yes	characteristic
80	C₂×#6101	C₂²	1	1	yes	characteristic
81	C₂×#6101	C₂²	1	1	yes	characteristic
82	C₂×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
83	#88152	C₂²	1	1	yes	characteristic
84	#88152	C₂²	1	1	yes	characteristic
85	#88152	C₂²	1	1	yes	characteristic
86	#88152	C₂²	1	1	yes	characteristic
87	#88152	C₂²	1	1	yes	characteristic
88	#88152	C₂²	1	1	yes	characteristic
89	#88152	C₂²	1	1	yes	characteristic
90	#88151	C₂²	1	1	yes	characteristic
91	#88151	C₂²	1	1	yes	characteristic
92	#88151	C₂²	1	1	yes	characteristic
93	#88151	C₂²	1	1	yes	characteristic
94	#88150	C₂²	1	1	yes	characteristic
95	#88150	C₂²	1	1	yes	characteristic
96	#88150	C₂²	1	1	yes	characteristic
97	#88150	C₂²	1	1	yes	characteristic
98	#88150	C₂²	1	1	yes	characteristic
99	#88150	C₂²	1	1	yes	characteristic
100	#88150	C₂²	1	1	yes	characteristic
101	#88150	C₂²	1	1	yes	characteristic
102	#88148	C₂²	1	1	yes	characteristic
103	#88148	C₂²	1	1	yes	characteristic
104	#88148	C₂²	1	1	yes	characteristic
105	#88146	C₂²	1	1	yes	characteristic
106	#88146	C₂²	1	1	yes	characteristic
107	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
108	#88144	C₂²	1	1	yes	characteristic
109	#88144	C₂²	1	1	yes	characteristic
110	#88144	C₂²	1	1	yes	characteristic
111	#88143	C₂²	1	1	yes	characteristic
112	#88143	C₂²	1	1	yes	characteristic
113	#88143	C₂²	1	1	yes	characteristic
114	#88143	C₂²	1	1	yes	characteristic
115	#88143	C₂²	1	1	yes	characteristic
116	#88143	C₂²	1	1	yes	characteristic
117	#88143	C₂²	1	1	yes	characteristic
118	#88143	C₂²	1	1	yes	characteristic
119	#88143	C₂²	1	1	yes	characteristic
120	#88143	C₂²	1	1	yes	characteristic
121	#88142	C₂²	1	1	yes	characteristic
122	#88142	C₂²	1	1	yes	characteristic
123	#88142	C₂²	1	1	yes	characteristic
124	#88142	C₂²	1	1	yes	characteristic
125	#88142	C₂²	1	1	yes	characteristic
126	#88142	C₂²	1	1	yes	characteristic
127	#88142	C₂²	1	1	yes	characteristic
128	#88142	C₂²	1	1	yes	characteristic
129	#88142	C₂²	1	1	yes	characteristic
130	#88142	C₂²	1	1	yes	characteristic
131	#88142	C₂²	1	1	yes	characteristic
132	#88142	C₂²	1	1	yes	characteristic
133	#88142	C₂²	1	1	yes	characteristic
134	#88141	C₂²	1	1	yes	characteristic
135	#88141	C₂²	1	1	yes	characteristic
136	#88141	C₂²	1	1	yes	characteristic
137	#88141	C₂²	1	1	yes	characteristic
138	#88141	C₂²	1	1	yes	characteristic
139	#88140	C₂²	1	1	yes	characteristic
140	#88140	C₂²	1	1	yes	characteristic
141	#88139	C₂²	1	1	yes	characteristic
142	#88139	C₂²	1	1	yes	characteristic
143	#88139	C₂²	1	1	yes	characteristic
144	#88139	C₂²	1	1	yes	characteristic
145	#88139	C₂²	1	1	yes	characteristic
146	#88139	C₂²	1	1	yes	characteristic
147	#88138	C₂²	1	1	yes	characteristic
148	#88137	C₂²	1	1	yes	characteristic
149	#88137	C₂²	1	1	yes	characteristic
150	#88137	C₂²	1	1	yes	characteristic
151	#88135	C₂²	1	1	yes	characteristic
152	#88135	C₂²	1	1	yes	characteristic
153	#88135	C₂²	1	1	yes	characteristic
154	#88135	C₂²	1	1	yes	characteristic
155	#88135	C₂²	1	1	yes	characteristic
156	#88135	C₂²	1	1	yes	characteristic
157	#88135	C₂²	1	1	yes	characteristic
158	#88133	C₂²	1	1	yes	characteristic
159	#88133	C₂²	1	1	yes	characteristic
160	#88133	C₂²	1	1	yes	characteristic
161	#88133	C₂²	1	1	yes	characteristic
162	#88133	C₂²	1	1	yes	characteristic
163	#88133	C₂²	1	1	yes	characteristic
164	#88132	C₂²	1	1	yes	characteristic
165	#88132	C₂²	1	1	yes	characteristic
166	#88132	C₂²	1	1	yes	characteristic
167	#88132	C₂²	1	1	yes	characteristic
168	#88132	C₂²	1	1	yes	characteristic
169	#88132	C₂²	1	1	yes	characteristic
170	#88132	C₂²	1	1	yes	characteristic
171	#88132	C₂²	1	1	yes	characteristic
172	#88132	C₂²	1	1	yes	characteristic
173	#88132	C₂²	1	1	yes	characteristic
174	#88132	C₂²	1	1	yes	characteristic
175	#88132	C₂²	1	1	yes	characteristic
176	#88131	C₂²	1	1	yes	characteristic
177	#88131	C₂²	1	1	yes	characteristic
178	#88131	C₂²	1	1	yes	characteristic
179	#88130	C₂²	1	1	yes	characteristic
180	#88129	C₂²	1	1	yes	characteristic
181	#88126	C₂²	1	1	yes	characteristic
182	#88124	C₂²	1	1	yes	characteristic
183	#88123	C₂²	1	1	yes	characteristic
184	C₄×Dic₂₆	C₂²	1	1	yes	characteristic
185	C₄×Dic₂₆	C₂²	1	1	yes	characteristic
186	C₄×Dic₂₆	C₂²	1	1	yes	characteristic
187	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic
188	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
203	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
204	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
205	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
206	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
207	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
210	Q₈×D₁₃	—	4	2	no	—
211	#6129	—	4	2	no	—
212	#6127	—	4	2	no	—
213	C₂×D₅₂	C₂³	1	1	yes	characteristic
214	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×Dic₂₆	—	4	2	no	—
221	C₂×Dic₂₆	—	4	2	no	—
222	C₂×Dic₂₆	—	4	2	no	—
223	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
224	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
225	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
226	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
227	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
228	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
229	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
230	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
231	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
232	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
233	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
234	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
235	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
236	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₄²×C₁₃	C₂³	1	1	yes	characteristic
261	C₄²×C₁₃	C₂³	1	1	yes	characteristic
262	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
272	#6103	C₂³	1	1	yes	characteristic
273	#6103	C₂³	1	1	yes	characteristic
274	#6103	C₂³	1	1	yes	characteristic
275	#6103	C₂³	1	1	yes	characteristic
276	#6103	C₂³	1	1	yes	characteristic
277	#6103	C₂³	1	1	yes	characteristic
278	#6103	C₂³	1	1	yes	characteristic
279	#6103	C₂³	1	1	yes	characteristic
280	#6103	C₂³	1	1	yes	characteristic
281	#6103	C₂³	1	1	yes	characteristic
282	#6103	C₂³	1	1	yes	characteristic
283	#6103	C₂³	1	1	yes	characteristic
284	#6103	C₂³	1	1	yes	characteristic
285	#6103	C₂³	1	1	yes	characteristic
286	#6103	C₂³	1	1	yes	characteristic
287	#6103	C₂³	1	1	yes	characteristic
288	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
290	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
291	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
292	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
293	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
296	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
297	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
298	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
299	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
300	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
301	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
302	#6101	C₂³	1	1	yes	characteristic
303	#6101	C₂³	1	1	yes	characteristic
304	#6101	C₂³	1	1	yes	characteristic
305	#6101	C₂³	1	1	yes	characteristic
306	#6101	C₂³	1	1	yes	characteristic
307	#6101	C₂³	1	1	yes	characteristic
308	#6101	C₂³	1	1	yes	characteristic
309	#6101	C₂³	1	1	yes	characteristic
310	#6101	C₂³	1	1	yes	characteristic
311	#6101	C₂³	1	1	yes	characteristic
312	#6101	C₂³	1	1	yes	characteristic
313	#6101	C₂³	1	1	yes	characteristic
314	#6101	C₂³	1	1	yes	characteristic
315	#6101	C₂³	1	1	yes	characteristic
316	#6101	C₂³	1	1	yes	characteristic
317	#6101	C₂³	1	1	yes	characteristic
318	#6101	C₂³	1	1	yes	characteristic
319	#6101	C₂³	1	1	yes	characteristic
320	#6101	C₂³	1	1	yes	characteristic
321	#6101	C₂³	1	1	yes	characteristic
322	#6101	C₂³	1	1	yes	characteristic
323	#6101	C₂³	1	1	yes	characteristic
324	#6101	C₂³	1	1	yes	characteristic
325	#6101	C₂³	1	1	yes	characteristic
326	#6101	C₂³	1	1	yes	characteristic
327	#6101	C₂³	1	1	yes	characteristic
328	#6101	C₂³	1	1	yes	characteristic
329	#6101	C₂³	1	1	yes	characteristic
330	#6101	C₂³	1	1	yes	characteristic
331	#6101	C₂³	1	1	yes	characteristic
332	#6101	C₂³	1	1	yes	characteristic
333	#6101	C₂³	1	1	yes	characteristic
334	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
335	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
336	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
337	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
338	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
339	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
340	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
341	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
342	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
343	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
344	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
345	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
346	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
347	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
348	#3552	—	13	1	no	maximal, Sylow
349	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
354	Q₈×C₁₃	—	4	1	no	—
355	D₄×C₁₃	—	2	2	no	—
356	D₄×C₁₃	—	2	2	no	—
357	D₄×C₁₃	—	4	1	no	—
358	C₂×C₄×C₁₃	—	2	2	no	—
359	C₂×C₄×C₁₃	—	4	1	no	—
360	C₂×C₄×C₁₃	—	4	1	no	—
361	C₂×C₄×C₁₃	—	4	1	no	—
362	C₂×C₄×C₁₃	—	4	1	no	—
363	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²⋊D₁₃	—	2	2	no	—
376	C₂²⋊D₁₃	—	2	2	no	—
377	C₂²⋊D₁₃	—	2	2	no	—
378	C₂²⋊D₁₃	—	2	2	no	—
379	C₂²⋊D₁₃	—	4	1	no	—
380	C₂²⋊D₁₃	—	4	1	no	—
381	C₂×Dic₁₃	—	2	2	no	—
382	C₂×Dic₁₃	—	2	2	no	—
383	C₂×Dic₁₃	—	2	2	no	—
384	C₂×Dic₁₃	—	2	2	no	—
385	C₂×Dic₁₃	—	4	1	no	—
386	C₂×Dic₁₃	—	4	1	no	—
387	C₂×Dic₁₃	—	4	1	no	—
388	C₂×Dic₁₃	—	4	1	no	—
389	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
390	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
393	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
394	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
395	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
398	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
400	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
403	D₅₂	—	4	1	no	—
404	C₄×D₁₃	—	2	2	no	—
405	C₄×D₁₃	—	2	2	no	—
406	C₄×D₁₃	—	4	1	no	—
407	C₄×D₁₃	—	4	1	no	—
408	C₄×D₁₃	—	4	1	no	—
409	C₄×D₁₃	—	4	1	no	—
410	Dic₂₆	—	2	2	no	—
411	Dic₂₆	—	2	2	no	—
412	Dic₂₆	—	2	2	no	—
413	Dic₂₆	—	2	2	no	—
414	Dic₂₆	—	2	2	no	—
415	Dic₂₆	—	2	2	no	—
416	Dic₂₆	—	4	1	no	—
417	Dic₂₆	—	4	1	no	—
418	Dic₂₆	—	4	1	no	—
419	Dic₂₆	—	4	1	no	—
420	Dic₂₆	—	4	1	no	—
421	Dic₂₆	—	4	1	no	—
422	Dic₂₆	—	4	1	no	—
423	#563	—	13	1	no	—
424	#563	—	13	1	no	—
425	#563	—	13	1	no	—
426	#563	—	13	1	no	—
427	#557	—	13	1	no	—
428	#556	—	13	1	no	—
429	#554	—	13	1	no	—
430	#554	—	13	1	no	—
431	#553	—	13	1	no	—
432	#553	—	13	1	no	—
433	D₄×Q₈	—	13	1	no	—
434	D₄×Q₈	—	13	1	no	—
435	D₄×Q₈	—	13	1	no	—
436	#548	—	13	1	no	—
437	#548	—	13	1	no	—
438	#547	—	13	1	no	—
439	#544	—	13	1	no	—
440	#544	—	13	1	no	—
441	#542	—	13	1	no	—
442	#542	—	13	1	no	—
443	#541	—	13	1	no	—
444	#541	—	13	1	no	—
445	#539	—	13	1	no	—
446	#539	—	13	1	no	—
447	#539	—	13	1	no	—
448	#539	D₁₃	1	1	yes	characteristic, complemented
449	#536	—	13	1	no	—
450	#536	—	13	1	no	—
451	C₂×C₄⋊Q₈	—	13	1	no	—
452	#529	—	13	1	no	—
453	#529	—	13	1	no	—
454	C₂²×C₁₃	—	2	1	no	—
455	C₂²×C₁₃	—	2	1	no	—
456	C₂²×C₁₃	—	2	1	no	—
457	C₂²×C₁₃	—	2	1	no	—
458	C₂²×C₁₃	—	2	1	no	—
459	C₂²×C₁₃	—	2	1	no	—
460	C₂²×C₁₃	—	2	1	no	—
461	C₂²×C₁₃	—	2	1	no	—
462	C₂²×C₁₃	2₋¹⁺⁴	1	2	yes	—
463	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
464	C₂×D₁₃	—	2	1	no	—
465	C₂×D₁₃	—	2	1	no	—
466	C₂×D₁₃	—	2	1	no	—
467	C₂×D₁₃	—	2	1	no	—
468	C₂×D₁₃	—	2	1	no	—
469	C₂×D₁₃	—	2	1	no	—
470	C₄×C₁₃	—	2	1	no	—
471	C₄×C₁₃	—	2	1	no	—
472	C₄×C₁₃	—	2	1	no	—
473	C₄×C₁₃	—	2	1	no	—
474	C₄×C₁₃	—	2	1	no	—
475	C₄×C₁₃	—	2	1	no	—
476	C₄×C₁₃	—	2	1	no	—
477	C₄×C₁₃	—	2	1	no	—
478	C₄×C₁₃	—	2	1	no	—
479	C₄×C₁₃	—	2	1	no	—
480	C₄×C₁₃	—	2	1	no	—
481	C₄×C₁₃	—	2	1	no	—
482	Dic₁₃	—	2	1	no	—
483	Dic₁₃	—	2	1	no	—
484	Dic₁₃	—	2	1	no	—
485	Dic₁₃	—	2	1	no	—
486	Dic₁₃	—	2	1	no	—
487	Dic₁₃	—	2	1	no	—
488	Dic₁₃	—	2	1	no	—
489	Dic₁₃	—	2	1	no	—
490	Dic₁₃	—	2	1	no	—
491	Dic₁₃	—	2	1	no	—
492	Dic₁₃	—	2	1	no	—
493	Dic₁₃	—	2	1	no	—
494	Dic₁₃	H(5,𝔽₂)	1	2	yes	—
495	Dic₁₃	2₋¹⁺⁴	1	2	yes	—
496	C₂×#41	—	13	1	no	—
497	C₂×#41	—	13	1	no	—
498	C₂²×Q₈	—	13	1	no	—
499	C₂²×Q₈	—	13	1	no	—
500	C₂²×Q₈	—	13	1	no	—
501	C₂²×Q₈	—	13	1	no	—
502	C₄⋊Q₈	—	13	1	no	—
503	C₄⋊Q₈	—	13	1	no	—
504	C₄⋊Q₈	—	13	1	no	—
505	C₄⋊Q₈	—	13	1	no	—
506	C₄⋊Q₈	—	13	1	no	—
507	C₄⋊Q₈	—	13	1	no	—
508	C₄⋊Q₈	—	13	1	no	—
509	C₄⋊Q₈	—	13	1	no	—
510	C₄⋊Q₈	—	13	1	no	—
511	C₄⋊Q₈	—	13	1	no	—
512	C₄⋊Q₈	—	13	1	no	—
513	C₄⋊Q₈	—	13	1	no	—
514	C₄⋊Q₈	—	13	1	no	—
515	C₄⋊Q₈	—	13	1	no	—
516	C₄⋊Q₈	—	13	1	no	—
517	C₄⋊Q₈	—	13	1	no	—
518	#126	—	13	1	no	—
519	#126	—	13	1	no	—
520	#126	—	13	1	no	—
521	#126	—	13	1	no	—
522	#126	—	13	1	no	—
523	#126	—	13	1	no	—
524	#126	—	13	1	no	—
525	#126	—	13	1	no	—
526	#126	—	13	1	no	—
527	#126	—	13	1	no	—
528	#126	—	13	1	no	—
529	#126	—	13	1	no	—
530	#126	—	13	1	no	—
531	#126	—	13	1	no	—
532	#126	C₂×D₁₃	1	1	yes	characteristic
533	#126	C₂×D₁₃	1	1	yes	characteristic
534	#125	—	13	1	no	—
535	#125	—	13	1	no	—
536	#125	—	13	1	no	—
537	#125	—	13	1	no	—
538	#125	—	13	1	no	—
539	#125	—	13	1	no	—
540	#125	—	13	1	no	—
541	#125	—	13	1	no	—
542	#125	—	13	1	no	—
543	#125	—	13	1	no	—
544	#125	—	13	1	no	—
545	#125	—	13	1	no	—
546	#125	—	13	1	no	—
547	#125	—	13	1	no	—
548	#125	C₂×D₁₃	1	1	yes	characteristic
549	#125	C₂×D₁₃	1	1	yes	characteristic
550	#124	—	13	1	no	—
551	#124	—	13	1	no	—
552	#124	—	13	1	no	—
553	#124	—	13	1	no	—
554	#124	—	13	1	no	—
555	#124	—	13	1	no	—
556	#124	—	13	1	no	—
557	#124	—	13	1	no	—
558	#123	—	13	1	no	—
559	#123	—	13	1	no	—
560	#123	—	13	1	no	—
561	#123	—	13	1	no	—
562	#123	—	13	1	no	—
563	#123	—	13	1	no	—
564	#123	—	13	1	no	—
565	#123	—	13	1	no	—
566	#123	—	13	1	no	—
567	#123	—	13	1	no	—
568	#123	—	13	1	no	—
569	#123	—	13	1	no	—
570	#123	C₂×D₁₃	1	1	yes	characteristic
571	#123	C₂×D₁₃	1	1	yes	characteristic
572	#123	C₂×D₁₃	1	1	yes	characteristic
573	#123	C₂×D₁₃	1	1	yes	characteristic
574	C₂²⋊Q₈	—	13	1	no	—
575	C₂²⋊Q₈	—	13	1	no	—
576	C₂²⋊Q₈	—	13	1	no	—
577	C₂²⋊Q₈	—	13	1	no	—
578	C₂²⋊Q₈	—	13	1	no	—
579	C₂²⋊Q₈	—	13	1	no	—
580	C₂²⋊Q₈	—	13	1	no	—
581	C₂²⋊Q₈	—	13	1	no	—
582	C₂²⋊Q₈	—	13	1	no	—
583	C₂²⋊Q₈	—	13	1	no	—
584	C₂²⋊Q₈	—	13	1	no	—
585	C₂²⋊Q₈	—	13	1	no	—
586	C₂²⋊Q₈	—	13	1	no	—
587	C₂²⋊Q₈	—	13	1	no	—
588	C₂²⋊Q₈	—	13	1	no	—
589	C₂²⋊Q₈	—	13	1	no	—
590	C₂²⋊Q₈	—	13	1	no	—
591	C₂²⋊Q₈	—	13	1	no	—
592	C₂²⋊Q₈	—	13	1	no	—
593	C₂²⋊Q₈	—	13	1	no	—
594	C₂²⋊Q₈	—	13	1	no	—
595	C₂²⋊Q₈	—	13	1	no	—
596	C₂²⋊Q₈	—	13	1	no	—
597	C₂²⋊Q₈	—	13	1	no	—
598	C₂²⋊Q₈	—	13	1	no	—
599	C₂²⋊Q₈	—	13	1	no	—
600	C₂²⋊Q₈	—	13	1	no	—
601	C₂²⋊Q₈	—	13	1	no	—
602	C₂²⋊Q₈	—	13	1	no	—
603	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
604	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
605	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
606	#121	—	13	1	no	—
607	#121	—	13	1	no	—
608	#121	—	13	1	no	—
609	#121	—	13	1	no	—
610	#121	—	13	1	no	—
611	#121	—	13	1	no	—
612	#121	—	13	1	no	—
613	#121	C₂×D₁₃	1	1	yes	characteristic
614	C₄×Q₈	—	13	1	no	—
615	C₄×Q₈	—	13	1	no	—
616	C₄×Q₈	—	13	1	no	—
617	C₄×Q₈	—	13	1	no	—
618	C₄×Q₈	—	13	1	no	—
619	C₄×Q₈	—	13	1	no	—
620	C₄×Q₈	—	13	1	no	—
621	C₄×Q₈	—	13	1	no	—
622	C₄×D₄	—	13	1	no	—
623	C₄×D₄	—	13	1	no	—
624	C₄×D₄	—	13	1	no	—
625	C₄×D₄	—	13	1	no	—
626	C₄×D₄	—	13	1	no	—
627	C₄×D₄	—	13	1	no	—
628	C₄×D₄	—	13	1	no	—
629	C₄×D₄	—	13	1	no	—
630	C₄×D₄	—	13	1	no	—
631	C₄×D₄	—	13	1	no	—
632	C₄×D₄	—	13	1	no	—
633	C₄×D₄	—	13	1	no	—
634	C₄×D₄	—	13	1	no	—
635	C₄×D₄	—	13	1	no	—
636	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
637	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
638	#117	—	13	1	no	—
639	#117	—	13	1	no	—
640	#117	—	13	1	no	—
641	#117	—	13	1	no	—
642	#117	—	13	1	no	—
643	#117	—	13	1	no	—
644	C₂×C₄⋊C₄	—	13	1	no	—
645	C₂×C₄⋊C₄	—	13	1	no	—
646	C₂×C₄⋊C₄	—	13	1	no	—
647	C₂×C₄⋊C₄	—	13	1	no	—
648	C₂×C₄⋊C₄	—	13	1	no	—
649	C₂×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
650	C₂×C₄²	—	13	1	no	—
651	C₂×C₁₃	—	2	2	no	—
652	C₂×C₁₃	—	4	1	no	—
653	C₂×C₁₃	—	4	1	no	—
654	C₂×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
655	C₂×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
656	C₂×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
657	D₁₃	—	4	1	no	—
658	D₁₃	—	4	1	no	—
659	#41	—	52	2	no	—
660	#41	—	52	2	no	—
661	C₂×Q₈	—	13	1	no	—
662	C₂×Q₈	—	13	1	no	—
663	C₂×Q₈	—	13	1	no	—
664	C₂×Q₈	—	13	1	no	—
665	C₂×Q₈	—	13	1	no	—
666	C₂×Q₈	—	13	1	no	—
667	C₂×Q₈	—	13	1	no	—
668	C₂×Q₈	—	13	1	no	—
669	C₂×Q₈	—	13	1	no	—
670	C₂×Q₈	—	13	1	no	—
671	C₂×Q₈	—	13	1	no	—
672	C₂×Q₈	—	13	1	no	—
673	C₂×Q₈	—	13	1	no	—
674	C₂×Q₈	—	52	2	no	—
675	C₂×Q₈	—	52	2	no	—
676	C₂×Q₈	—	52	2	no	—
677	C₂×Q₈	—	52	2	no	—
678	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic
679	C₂×D₄	—	13	1	no	—
680	C₂×D₄	—	13	1	no	—
681	C₂×D₄	—	13	1	no	—
682	C₂×D₄	—	13	1	no	—
683	C₂×D₄	—	13	1	no	—
684	C₂×D₄	—	13	1	no	—
685	C₂×D₄	—	13	1	no	—
686	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
687	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
688	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
689	C₂²×C₄	—	13	1	no	—
690	C₂²×C₄	—	13	1	no	—
691	C₂²×C₄	—	13	1	no	—
692	C₂²×C₄	—	13	1	no	—
693	C₂²×C₄	—	13	1	no	—
694	C₂²×C₄	—	13	1	no	—
695	C₂²×C₄	—	13	1	no	—
696	C₂²×C₄	—	13	1	no	—
697	C₂²×C₄	—	13	1	no	—
698	C₂²×C₄	—	13	1	no	—
699	C₂²×C₄	—	13	1	no	—
700	C₂²×C₄	—	13	1	no	—
701	C₂²×C₄	—	13	1	no	—
702	C₂²×C₄	—	13	1	no	—
703	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
704	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
705	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
706	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
707	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
708	C₄⋊C₄	—	13	1	no	—
709	C₄⋊C₄	—	13	1	no	—
710	C₄⋊C₄	—	13	1	no	—
711	C₄⋊C₄	—	13	1	no	—
712	C₄⋊C₄	—	13	1	no	—
713	C₄⋊C₄	—	13	1	no	—
714	C₄⋊C₄	—	13	1	no	—
715	C₄⋊C₄	—	13	1	no	—
716	C₄⋊C₄	—	13	1	no	—
717	C₄⋊C₄	—	13	1	no	—
718	C₄⋊C₄	—	13	1	no	—
719	C₄⋊C₄	—	13	1	no	—
720	C₄⋊C₄	—	13	1	no	—
721	C₄⋊C₄	—	13	1	no	—
722	C₄⋊C₄	—	13	1	no	—
723	C₄⋊C₄	—	13	1	no	—
724	C₄⋊C₄	—	13	1	no	—
725	C₄⋊C₄	—	13	1	no	—
726	C₄⋊C₄	—	13	1	no	—
727	C₄⋊C₄	—	13	1	no	—
728	C₄⋊C₄	—	13	1	no	—
729	C₄⋊C₄	—	13	1	no	—
730	C₄⋊C₄	—	13	1	no	—
731	C₄⋊C₄	—	13	1	no	—
732	C₄⋊C₄	—	13	1	no	—
733	C₄⋊C₄	—	13	1	no	—
734	C₄⋊C₄	—	13	1	no	—
735	C₄⋊C₄	—	13	1	no	—
736	C₄⋊C₄	—	13	1	no	—
737	C₄⋊C₄	—	13	1	no	—
738	C₄⋊C₄	—	13	1	no	—
739	C₄⋊C₄	—	13	1	no	—
740	C₄⋊C₄	—	13	1	no	—
741	C₄⋊C₄	—	13	1	no	—
742	C₄⋊C₄	—	13	1	no	—
743	C₄⋊C₄	—	13	1	no	—
744	C₄⋊C₄	—	13	1	no	—
745	C₄⋊C₄	—	13	1	no	—
746	C₄⋊C₄	—	13	1	no	—
747	C₄⋊C₄	—	13	1	no	—
748	C₄⋊C₄	—	13	1	no	—
749	C₄⋊C₄	—	13	1	no	—
750	C₄⋊C₄	—	13	1	no	—
751	C₄⋊C₄	—	13	1	no	—
752	C₄⋊C₄	—	13	1	no	—
753	C₄⋊C₄	—	13	1	no	—
754	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
755	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
756	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
757	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
758	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
759	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
760	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
761	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
762	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
763	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
764	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
765	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
766	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
767	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
768	C₂²⋊C₄	—	13	1	no	—
769	C₂²⋊C₄	—	13	1	no	—
770	C₂²⋊C₄	—	13	1	no	—
771	C₂²⋊C₄	—	13	1	no	—
772	C₂²⋊C₄	—	13	1	no	—
773	C₂²⋊C₄	—	13	1	no	—
774	C₂²⋊C₄	—	13	1	no	—
775	C₂²⋊C₄	—	13	1	no	—
776	C₂²⋊C₄	—	13	1	no	—
777	C₂²⋊C₄	—	13	1	no	—
778	C₂²⋊C₄	—	13	1	no	—
779	C₂²⋊C₄	—	13	1	no	—
780	C₂²⋊C₄	—	13	1	no	—
781	C₂²⋊C₄	—	13	1	no	—
782	C₂²⋊C₄	—	13	1	no	—
783	C₂²⋊C₄	—	13	1	no	—
784	C₂²⋊C₄	—	13	1	no	—
785	C₂²⋊C₄	—	13	1	no	—
786	C₂²⋊C₄	—	13	1	no	—
787	C₂²⋊C₄	—	13	1	no	—
788	C₂²⋊C₄	—	13	1	no	—
789	C₂²⋊C₄	—	13	1	no	—
790	C₂²⋊C₄	—	13	1	no	—
791	C₂²⋊C₄	—	13	1	no	—
792	C₂²⋊C₄	—	13	1	no	—
793	C₂²⋊C₄	—	13	1	no	—
794	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
795	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
796	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
797	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
798	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
799	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
800	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
801	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
802	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
803	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
804	C₄²	—	13	1	no	—
805	C₄²	—	13	1	no	—
806	C₄²	—	13	1	no	—
807	C₄²	—	13	1	no	—
808	C₄²	—	13	1	no	—
809	C₄²	—	13	1	no	—
810	C₄²	—	13	1	no	—
811	C₄²	—	13	1	no	—
812	C₄²	—	13	1	no	—
813	C₄²	—	13	1	no	—
814	C₄²	—	13	1	no	—
815	C₄²	—	13	1	no	—
816	C₄²	—	13	1	no	—
817	C₄²	—	13	1	no	—
818	C₄²	C₂²×D₁₃	1	1	yes	characteristic
819	C₄²	C₂²×D₁₃	1	1	yes	characteristic
820	C₁₃	#3552	1	1	yes	characteristic, complemented, Sylow
821	C₂³	—	13	1	no	—
822	C₂³	—	13	1	no	—
823	C₂³	C₂³×D₁₃	1	1	yes	characteristic
824	C₂³	C₂³×D₁₃	1	1	yes	characteristic
825	C₂³	C₂³×D₁₃	1	1	yes	characteristic
826	Q₈	—	4	1	no	—
827	Q₈	—	26	2	no	—
828	Q₈	—	26	2	no	—
829	Q₈	—	26	2	no	—
830	Q₈	—	26	2	no	—
831	Q₈	—	26	2	no	—
832	Q₈	—	26	2	no	—
833	Q₈	—	52	1	no	—
834	Q₈	—	52	1	no	—
835	Q₈	—	52	1	no	—
836	Q₈	—	52	1	no	—
837	Q₈	—	52	1	no	—
838	Q₈	—	52	1	no	—
839	Q₈	—	52	1	no	—
840	D₄	—	2	2	no	—
841	D₄	—	2	2	no	—
842	D₄	—	4	1	no	—
843	D₄	—	26	2	no	—
844	D₄	—	26	2	no	—
845	D₄	—	26	2	no	—
846	D₄	—	26	2	no	—
847	D₄	—	52	1	no	—
848	D₄	—	52	1	no	—
849	D₄	—	52	1	no	—
850	C₂×C₄	—	2	2	no	—
851	C₂×C₄	—	4	1	no	—
852	C₂×C₄	—	4	1	no	—
853	C₂×C₄	—	4	1	no	—
854	C₂×C₄	—	4	1	no	—
855	C₂×C₄	—	13	1	no	—
856	C₂×C₄	—	13	1	no	—
857	C₂×C₄	—	13	1	no	—
858	C₂×C₄	—	13	1	no	—
859	C₂×C₄	—	13	1	no	—
860	C₂×C₄	—	13	1	no	—
861	C₂×C₄	—	13	1	no	—
862	C₂×C₄	—	13	1	no	—
863	C₂×C₄	—	13	1	no	—
864	C₂×C₄	—	13	1	no	—
865	C₂×C₄	—	13	1	no	—
866	C₂×C₄	—	13	1	no	—
867	C₂×C₄	—	13	1	no	—
868	C₂×C₄	—	13	1	no	—
869	C₂×C₄	—	26	2	no	—
870	C₂×C₄	—	26	2	no	—
871	C₂×C₄	—	26	2	no	—
872	C₂×C₄	—	26	2	no	—
873	C₂×C₄	—	26	2	no	—
874	C₂×C₄	—	26	2	no	—
875	C₂×C₄	—	52	1	no	—
876	C₂×C₄	—	52	1	no	—
877	C₂×C₄	—	52	1	no	—
878	C₂×C₄	—	52	1	no	—
879	C₂×C₄	—	52	1	no	—
880	C₂×C₄	—	52	1	no	—
881	C₂×C₄	—	52	1	no	—
882	C₂×C₄	—	52	1	no	—
883	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
884	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
885	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
886	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
887	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
888	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
889	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
890	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
891	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
892	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
893	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
894	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
895	C₂²	—	2	1	no	—
896	C₂²	—	2	1	no	—
897	C₂²	—	2	1	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	1	no	—
900	C₂²	—	2	1	no	—
901	C₂²	—	2	1	no	—
902	C₂²	—	2	1	no	—
903	C₂²	—	26	1	no	—
904	C₂²	—	26	1	no	—
905	C₂²	—	26	1	no	—
906	C₂²	—	26	1	no	—
907	C₂²	—	26	1	no	—
908	C₂²	—	26	1	no	—
909	C₂²	#88257	1	2	yes	—
910	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
911	C₄	—	2	1	no	—
912	C₄	—	2	1	no	—
913	C₄	—	2	1	no	—
914	C₄	—	2	1	no	—
915	C₄	—	2	1	no	—
916	C₄	—	2	1	no	—
917	C₄	—	2	1	no	—
918	C₄	—	2	1	no	—
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	13	2	no	—
924	C₄	—	13	2	no	—
925	C₄	—	26	1	no	—
926	C₄	—	26	1	no	—
927	C₄	—	26	1	no	—
928	C₄	—	26	1	no	—
929	C₄	—	26	1	no	—
930	C₄	—	26	1	no	—
931	C₄	—	26	1	no	—
932	C₄	—	26	1	no	—
933	C₄	—	26	1	no	—
934	C₄	—	26	1	no	—
935	C₄	—	26	1	no	—
936	C₄	—	26	1	no	—
937	C₂	—	2	2	no	—
938	C₂	—	4	1	no	—
939	C₂	—	4	1	no	—
940	C₂	—	52	1	no	—
941	C₂	—	52	1	no	—
942	C₂	C₂×#88257	1	1	yes	characteristic
943	C₂	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
944	C₂	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁵
Fitting	C₁₃×#539	C₂
hypercenter	#539	D₁₃
hypocenter	C₁₃	#3552
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
1. C₁₃×#539	C₂	semidirect
2. #11719417	C₂	semidirect
3. #11719415	C₂	semidirect
4. #11719407	C₂	semidirect
5. #11719406	C₂	semidirect
6. #11719404	C₂	semidirect
7. #11719401	C₂	semidirect
8. #11719394	C₂	semidirect
9. #11719390	C₂	semidirect
10. #11719370	C₂	semidirect
11. #11719370	C₂	semidirect
12. #11719367	C₂	semidirect
13. #11719360	C₂	semidirect
14. #11719356	C₂	semidirect
15. #11719354	C₂	semidirect
16. #11719354	C₂	semidirect
17. #11719353	C₂	semidirect
18. #11719351	C₂	semidirect
19. #11719341	C₂	semidirect
20. #11719337	C₂	semidirect
21. #11719337	C₂	semidirect
22. #11719333	C₂	semidirect
23. #11719328	C₂	semidirect
24. #11719306	C₂	semidirect
25. #11719303	C₂	semidirect
26. #11719257	C₂	semidirect
27. #11719245	C₂	semidirect
28. #11719244	C₂	semidirect
29. D₄×Dic₂₆	C₂	semidirect
30. #11719220	C₂	semidirect
31. C₂×#88142	C₂	semidirect
448. #539	D₁₃	semidirect
820. C₁₃	#3552	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#539	2
#11719417	2
#11719415	2
#11719407	2
#11719406	2
#11719404	2
#11719401	2
#11719394	2
#11719390	2
#11719370	2
#11719367	2
#11719360	2
#11719356	2
#11719354	2
#11719353	2
#11719351	2
#11719341	2
#11719337	2
#11719333	2
#11719328	2
#11719306	2
#11719303	2
#11719257	2
#11719245	2
#11719244	2
D₄×Dic₂₆	2
#11719220	2
C₂×#88142	2
#3552	13