Subgroups — #13128806

Order 1664.

1014 conjugacy classes of subgroups.

The subgroup lattice has 932 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	#11719413	C₂	1	1	yes	maximal, characteristic, complemented
3	#11719413	C₂	1	1	yes	maximal, characteristic, complemented
4	#11719411	C₂	1	1	yes	maximal, characteristic, complemented
5	#11719406	C₂	1	1	yes	maximal, characteristic, complemented
6	#11719401	C₂	1	1	yes	maximal, characteristic, complemented
7	#11719398	C₂	1	1	yes	maximal, characteristic, complemented
8	D₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
9	#11719390	C₂	1	1	yes	maximal, characteristic, complemented
10	#11719366	C₂	1	1	yes	maximal, characteristic, complemented
11	#11719365	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719360	C₂	1	1	yes	maximal, characteristic, complemented
13	#11719360	C₂	1	1	yes	maximal, characteristic, complemented
14	#11719355	C₂	1	1	yes	maximal, characteristic, complemented
15	#11719355	C₂	1	1	yes	maximal, characteristic, complemented
16	#11719355	C₂	1	1	yes	maximal, characteristic, complemented
17	#11719354	C₂	1	1	yes	maximal, characteristic, complemented
18	#11719347	C₂	1	1	yes	maximal, characteristic, complemented
19	#11719344	C₂	1	1	yes	maximal, characteristic, complemented
20	#11719343	C₂	1	1	yes	maximal, characteristic, complemented
21	#11719341	C₂	1	1	yes	maximal, characteristic, complemented
22	#11719341	C₂	1	1	yes	maximal, characteristic, complemented
23	#11719327	C₂	1	1	yes	maximal, characteristic, complemented
24	#11719316	C₂	1	1	yes	maximal, characteristic, complemented
25	#11719306	C₂	1	1	yes	maximal, characteristic, complemented
26	#11719269	C₂	1	1	yes	maximal, characteristic, complemented
27	#11719251	C₂	1	1	yes	maximal, characteristic, complemented
28	#11719243	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#6129	C₂	1	1	yes	maximal, characteristic, complemented
30	#11719209	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#88143	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#6129	C₂²	1	1	yes	characteristic
33	C₂×#6129	C₂²	1	1	yes	characteristic
34	C₂×#6127	C₂²	1	1	yes	characteristic
35	C₁₃×#126	C₂²	1	1	yes	characteristic
36	C₁₃×#126	C₂²	1	1	yes	characteristic
37	C₁₃×#125	C₂²	1	1	yes	characteristic
38	C₁₃×#125	C₂²	1	1	yes	characteristic
39	C₁₃×#123	C₂²	1	1	yes	characteristic
40	C₁₃×#123	C₂²	1	1	yes	characteristic
41	C₁₃×#123	C₂²	1	1	yes	characteristic
42	C₁₃×#123	C₂²	1	1	yes	characteristic
43	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
46	C₁₃×#121	C₂²	1	1	yes	characteristic
47	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	#88200	C₂²	1	1	yes	characteristic
51	#88200	C₂²	1	1	yes	characteristic
52	Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
53	#88198	C₂²	1	1	yes	characteristic
54	#88193	C₂²	1	1	yes	characteristic
55	#88193	C₂²	1	1	yes	characteristic
56	#88193	C₂²	1	1	yes	characteristic
57	#88192	C₂²	1	1	yes	characteristic
58	#88189	C₂²	1	1	yes	characteristic
59	#88189	C₂²	1	1	yes	characteristic
60	#88189	C₂²	1	1	yes	characteristic
61	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
62	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
63	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
64	#88183	C₂²	1	1	yes	characteristic
65	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
66	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
69	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
70	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
71	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
72	#88180	C₂²	1	1	yes	characteristic
73	#88180	C₂²	1	1	yes	characteristic
74	C₂×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
75	#88178	C₂²	1	1	yes	characteristic
76	C₂×#6101	C₂²	1	1	yes	characteristic
77	C₂×#6101	C₂²	1	1	yes	characteristic
78	C₂×#6101	C₂²	1	1	yes	characteristic
79	C₂×#6101	C₂²	1	1	yes	characteristic
80	C₂×#6101	C₂²	1	1	yes	characteristic
81	C₂×C₄×Dic₁₃	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	#88150	C₂²	1	1	yes	characteristic
88	#88150	C₂²	1	1	yes	characteristic
89	#88150	C₂²	1	1	yes	characteristic
90	#88150	C₂²	1	1	yes	characteristic
91	#88150	C₂²	1	1	yes	characteristic
92	#88148	C₂²	1	1	yes	characteristic
93	#88148	C₂²	1	1	yes	characteristic
94	#88147	C₂²	1	1	yes	characteristic
95	#88147	C₂²	1	1	yes	characteristic
96	#88146	C₂²	1	1	yes	characteristic
97	#88146	C₂²	1	1	yes	characteristic
98	#88146	C₂²	1	1	yes	characteristic
99	#88146	C₂²	1	1	yes	characteristic
100	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
101	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
102	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
103	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
104	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
105	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
106	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
107	#88144	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	#88144	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	#88143	C₂²	1	1	yes	characteristic
122	#88143	C₂²	1	1	yes	characteristic
123	#88143	C₂²	1	1	yes	characteristic
124	#88143	C₂²	1	1	yes	characteristic
125	#88143	C₂²	1	1	yes	characteristic
126	#88143	C₂²	1	1	yes	characteristic
127	#88143	C₂²	1	1	yes	characteristic
128	#88143	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	#88141	C₂²	1	1	yes	characteristic
133	#88141	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	#88138	C₂²	1	1	yes	characteristic
143	#88138	C₂²	1	1	yes	characteristic
144	#88137	C₂²	1	1	yes	characteristic
145	#88137	C₂²	1	1	yes	characteristic
146	#88137	C₂²	1	1	yes	characteristic
147	#88137	C₂²	1	1	yes	characteristic
148	#88137	C₂²	1	1	yes	characteristic
149	#88137	C₂²	1	1	yes	characteristic
150	#88135	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	#88133	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	#88131	C₂²	1	1	yes	characteristic
173	#88131	C₂²	1	1	yes	characteristic
174	#88131	C₂²	1	1	yes	characteristic
175	#88131	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	#88126	C₂²	1	1	yes	characteristic
181	#88126	C₂²	1	1	yes	characteristic
182	C₄²×D₁₃	C₂²	1	1	yes	characteristic
183	#88124	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	#6129	—	2	4	no	—
211	#6129	—	2	4	no	—
212	#6127	—	2	4	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×C₄×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₁₃	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	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₁₃×C₂²⋊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	C₄²×C₁₃	C₂³	1	1	yes	characteristic
254	C₄²×C₁₃	C₂³	1	1	yes	characteristic
255	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂²⋊Dic₁₃	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	#6103	C₂³	1	1	yes	characteristic
266	#6103	C₂³	1	1	yes	characteristic
267	#6103	C₂³	1	1	yes	characteristic
268	#6103	C₂³	1	1	yes	characteristic
269	#6103	C₂³	1	1	yes	characteristic
270	#6103	C₂³	1	1	yes	characteristic
271	#6103	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	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
278	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
279	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
280	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
281	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
282	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
283	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
284	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
285	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
286	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	C₄⋊Dic₁₃	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	#6101	C₂³	1	1	yes	characteristic
292	#6101	C₂³	1	1	yes	characteristic
293	#6101	C₂³	1	1	yes	characteristic
294	#6101	C₂³	1	1	yes	characteristic
295	#6101	C₂³	1	1	yes	characteristic
296	#6101	C₂³	1	1	yes	characteristic
297	#6101	C₂³	1	1	yes	characteristic
298	#6101	C₂³	1	1	yes	characteristic
299	#6101	C₂³	1	1	yes	characteristic
300	#6101	C₂³	1	1	yes	characteristic
301	#6101	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	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
328	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
329	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
330	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
331	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
332	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
333	C₄×Dic₁₃	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	#3515	—	13	1	no	maximal, Sylow
346	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
350	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
351	Q₈×C₁₃	—	4	1	no	—
352	D₄×C₁₃	—	2	2	no	—
353	D₄×C₁₃	—	2	2	no	—
354	D₄×C₁₃	—	4	1	no	—
355	C₂×C₄×C₁₃	—	2	2	no	—
356	C₂×C₄×C₁₃	—	4	1	no	—
357	C₂×C₄×C₁₃	—	4	1	no	—
358	C₂×C₄×C₁₃	—	4	1	no	—
359	C₂×C₄×C₁₃	—	4	1	no	—
360	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂²⋊D₁₃	—	2	2	no	—
373	C₂²⋊D₁₃	—	2	2	no	—
374	C₂²⋊D₁₃	—	2	2	no	—
375	C₂²⋊D₁₃	—	2	2	no	—
376	C₂²⋊D₁₃	—	4	1	no	—
377	C₂²⋊D₁₃	#41	1	4	yes	—
378	C₂×Dic₁₃	—	2	2	no	—
379	C₂×Dic₁₃	—	2	2	no	—
380	C₂×Dic₁₃	—	2	2	no	—
381	C₂×Dic₁₃	—	2	2	no	—
382	C₂×Dic₁₃	—	2	2	no	—
383	C₂×Dic₁₃	—	2	2	no	—
384	C₂×Dic₁₃	—	4	1	no	—
385	C₂×Dic₁₃	—	4	1	no	—
386	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	D₅₂	—	2	2	no	—
401	C₄×D₁₃	—	2	2	no	—
402	C₄×D₁₃	—	2	2	no	—
403	C₄×D₁₃	—	2	2	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	C₄×D₁₃	—	4	1	no	—
411	Dic₂₆	—	2	2	no	—
412	Dic₂₆	—	2	2	no	—
413	Dic₂₆	—	2	2	no	—
414	Dic₂₆	—	2	2	no	—
415	Dic₂₆	—	4	1	no	—
416	#557	—	13	1	no	—
417	#554	—	13	1	no	—
418	#554	—	13	1	no	—
419	#553	—	13	1	no	—
420	#553	—	13	1	no	—
421	#552	—	13	1	no	—
422	#552	—	13	1	no	—
423	#552	—	13	1	no	—
424	#552	—	13	1	no	—
425	#552	—	13	1	no	—
426	#552	—	13	1	no	—
427	#552	—	13	1	no	—
428	#552	—	13	1	no	—
429	#547	—	13	1	no	—
430	#547	—	13	1	no	—
431	#547	—	13	1	no	—
432	#541	—	13	1	no	—
433	#541	—	13	1	no	—
434	#539	—	13	1	no	—
435	#539	—	13	1	no	—
436	#539	—	13	1	no	—
437	#539	D₁₃	1	1	yes	characteristic, complemented
438	#533	—	13	1	no	—
439	#529	—	13	1	no	—
440	#529	—	13	1	no	—
441	#529	—	13	1	no	—
442	C₂×#125	—	13	1	no	—
443	C₂×#125	—	13	1	no	—
444	#520	—	13	1	no	—
445	#520	—	13	1	no	—
446	C₄×#41	—	13	1	no	—
447	C₂²×C₁₃	—	2	1	no	—
448	C₂²×C₁₃	—	2	1	no	—
449	C₂²×C₁₃	—	2	1	no	—
450	C₂²×C₁₃	—	2	1	no	—
451	C₂²×C₁₃	—	2	1	no	—
452	C₂²×C₁₃	—	2	1	no	—
453	C₂²×C₁₃	—	2	1	no	—
454	C₂²×C₁₃	—	2	1	no	—
455	C₂²×C₁₃	C₂×#41	1	2	yes	—
456	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
457	C₂×D₁₃	—	2	1	no	—
458	C₂×D₁₃	—	2	1	no	—
459	C₂×D₁₃	—	2	1	no	—
460	C₂×D₁₃	—	2	1	no	—
461	C₂×D₁₃	—	2	1	no	—
462	C₂×D₁₃	C₂×#41	1	2	yes	—
463	C₄×C₁₃	—	2	1	no	—
464	C₄×C₁₃	—	2	1	no	—
465	C₄×C₁₃	—	2	1	no	—
466	C₄×C₁₃	—	2	1	no	—
467	C₄×C₁₃	—	2	1	no	—
468	C₄×C₁₃	—	2	1	no	—
469	C₄×C₁₃	—	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	Dic₁₃	—	2	1	no	—
476	Dic₁₃	—	2	1	no	—
477	Dic₁₃	—	2	1	no	—
478	Dic₁₃	—	2	1	no	—
479	Dic₁₃	—	2	1	no	—
480	Dic₁₃	—	2	1	no	—
481	Dic₁₃	—	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	C₂×#41	1	2	yes	—
488	Dic₁₃	2₋¹⁺⁴	1	2	yes	—
489	C₂×#41	—	13	1	no	—
490	C₂×#41	—	13	1	no	—
491	C₂×#41	—	13	1	no	—
492	C₄⋊Q₈	—	13	1	no	—
493	C₄⋊Q₈	—	13	1	no	—
494	C₄⋊Q₈	—	13	1	no	—
495	C₄⋊Q₈	—	13	1	no	—
496	#126	—	13	1	no	—
497	#126	—	13	1	no	—
498	#126	—	13	1	no	—
499	#126	—	13	1	no	—
500	#126	—	13	1	no	—
501	#126	—	13	1	no	—
502	#126	—	13	1	no	—
503	#126	—	13	1	no	—
504	#126	—	13	1	no	—
505	#126	—	13	1	no	—
506	#126	—	13	1	no	—
507	#126	—	13	1	no	—
508	#126	C₂×D₁₃	1	1	yes	characteristic
509	#126	C₂×D₁₃	1	1	yes	characteristic
510	#125	—	13	1	no	—
511	#125	—	13	1	no	—
512	#125	—	13	1	no	—
513	#125	—	13	1	no	—
514	#125	—	13	1	no	—
515	#125	—	13	1	no	—
516	#125	—	13	1	no	—
517	#125	—	13	1	no	—
518	#125	—	13	1	no	—
519	#125	—	13	1	no	—
520	#125	—	13	1	no	—
521	#125	—	13	1	no	—
522	#125	—	13	1	no	—
523	#125	—	13	1	no	—
524	#125	—	13	1	no	—
525	#125	—	13	1	no	—
526	#125	—	13	1	no	—
527	#125	—	13	1	no	—
528	#125	—	13	1	no	—
529	#125	—	13	1	no	—
530	#125	—	13	1	no	—
531	#125	—	13	1	no	—
532	#125	—	13	1	no	—
533	#125	C₂×D₁₃	1	1	yes	characteristic
534	#125	C₂×D₁₃	1	1	yes	characteristic
535	#124	—	13	1	no	—
536	#123	—	13	1	no	—
537	#123	—	13	1	no	—
538	#123	—	13	1	no	—
539	#123	—	13	1	no	—
540	#123	—	13	1	no	—
541	#123	—	13	1	no	—
542	#123	—	13	1	no	—
543	#123	—	13	1	no	—
544	#123	—	13	1	no	—
545	#123	—	13	1	no	—
546	#123	—	13	1	no	—
547	#123	—	13	1	no	—
548	#123	—	13	1	no	—
549	#123	—	13	1	no	—
550	#123	C₂×D₁₃	1	1	yes	characteristic
551	#123	C₂×D₁₃	1	1	yes	characteristic
552	#123	C₂×D₁₃	1	1	yes	characteristic
553	#123	C₂×D₁₃	1	1	yes	characteristic
554	C₂²⋊Q₈	—	13	1	no	—
555	C₂²⋊Q₈	—	13	1	no	—
556	C₂²⋊Q₈	—	13	1	no	—
557	C₂²⋊Q₈	—	13	1	no	—
558	C₂²⋊Q₈	—	13	1	no	—
559	C₂²⋊Q₈	—	13	1	no	—
560	C₂²⋊Q₈	—	13	1	no	—
561	C₂²⋊Q₈	—	13	1	no	—
562	C₂²⋊Q₈	—	13	1	no	—
563	C₂²⋊Q₈	—	13	1	no	—
564	C₂²⋊Q₈	—	13	1	no	—
565	C₂²⋊Q₈	—	13	1	no	—
566	C₂²⋊Q₈	—	13	1	no	—
567	C₂²⋊Q₈	—	13	1	no	—
568	C₂²⋊Q₈	—	13	1	no	—
569	C₂²⋊Q₈	—	13	1	no	—
570	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
571	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
572	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
573	#121	—	13	1	no	—
574	#121	—	13	1	no	—
575	#121	—	13	1	no	—
576	#121	—	13	1	no	—
577	#121	—	13	1	no	—
578	#121	—	13	1	no	—
579	#121	C₂×D₁₃	1	1	yes	characteristic
580	C₄×Q₈	—	13	1	no	—
581	C₄×Q₈	—	13	1	no	—
582	C₄×Q₈	—	13	1	no	—
583	C₄×Q₈	—	13	1	no	—
584	C₄×Q₈	—	13	1	no	—
585	C₄×Q₈	—	13	1	no	—
586	C₄×Q₈	—	13	1	no	—
587	C₄×Q₈	—	13	1	no	—
588	C₄×Q₈	—	13	1	no	—
589	C₄×Q₈	—	13	1	no	—
590	C₄×Q₈	—	13	1	no	—
591	C₄×D₄	—	13	1	no	—
592	C₄×D₄	—	13	1	no	—
593	C₄×D₄	—	13	1	no	—
594	C₄×D₄	—	13	1	no	—
595	C₄×D₄	—	13	1	no	—
596	C₄×D₄	—	13	1	no	—
597	C₄×D₄	—	13	1	no	—
598	C₄×D₄	—	13	1	no	—
599	C₄×D₄	—	13	1	no	—
600	C₄×D₄	—	13	1	no	—
601	C₄×D₄	—	13	1	no	—
602	C₄×D₄	—	13	1	no	—
603	C₄×D₄	—	13	1	no	—
604	C₄×D₄	—	13	1	no	—
605	C₄×D₄	—	13	1	no	—
606	C₄×D₄	—	13	1	no	—
607	C₄×D₄	—	13	1	no	—
608	C₄×D₄	—	13	1	no	—
609	C₄×D₄	—	13	1	no	—
610	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
611	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
612	#117	—	13	1	no	—
613	#117	—	13	1	no	—
614	#117	—	13	1	no	—
615	#117	—	13	1	no	—
616	#117	—	13	1	no	—
617	#117	—	13	1	no	—
618	#117	—	13	1	no	—
619	#117	—	13	1	no	—
620	#117	—	13	1	no	—
621	#117	—	13	1	no	—
622	#117	—	13	1	no	—
623	#117	—	13	1	no	—
624	#117	—	13	1	no	—
625	#117	—	13	1	no	—
626	#117	—	13	1	no	—
627	C₂×C₄⋊C₄	—	13	1	no	—
628	C₂×C₄⋊C₄	—	13	1	no	—
629	C₂×C₄⋊C₄	—	13	1	no	—
630	C₂×C₄⋊C₄	—	13	1	no	—
631	C₂×C₄⋊C₄	—	13	1	no	—
632	C₂×C₄⋊C₄	—	13	1	no	—
633	C₂×C₄⋊C₄	—	13	1	no	—
634	C₂×C₄⋊C₄	—	13	1	no	—
635	C₂×C₄⋊C₄	—	13	1	no	—
636	C₂×C₄⋊C₄	—	13	1	no	—
637	C₂×C₄⋊C₄	—	13	1	no	—
638	C₂×C₄⋊C₄	—	13	1	no	—
639	C₂×C₄⋊C₄	—	13	1	no	—
640	C₂×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
641	C₂×C₄²	—	13	1	no	—
642	C₂×C₄²	—	13	1	no	—
643	C₂×C₄²	—	13	1	no	—
644	C₂×C₁₃	—	2	2	no	—
645	C₂×C₁₃	—	4	1	no	—
646	C₂×C₁₃	—	4	1	no	—
647	C₂×C₁₃	C₂²×#41	1	1	yes	characteristic
648	C₂×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
649	C₂×C₁₃	#585	1	1	yes	characteristic
650	D₁₃	—	2	2	no	—
651	D₁₃	—	4	1	no	—
652	#41	—	26	4	no	—
653	#41	—	26	4	no	—
654	#41	—	26	4	no	—
655	C₂×Q₈	—	13	1	no	—
656	C₂×Q₈	—	13	1	no	—
657	C₂×Q₈	—	13	1	no	—
658	C₂×Q₈	—	13	1	no	—
659	C₂×Q₈	—	13	1	no	—
660	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic
661	C₂×D₄	—	13	1	no	—
662	C₂×D₄	—	13	1	no	—
663	C₂×D₄	—	13	1	no	—
664	C₂×D₄	—	13	1	no	—
665	C₂×D₄	—	13	1	no	—
666	C₂×D₄	—	13	1	no	—
667	C₂×D₄	—	13	1	no	—
668	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
669	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
670	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
671	C₂²×C₄	—	13	1	no	—
672	C₂²×C₄	—	13	1	no	—
673	C₂²×C₄	—	13	1	no	—
674	C₂²×C₄	—	13	1	no	—
675	C₂²×C₄	—	13	1	no	—
676	C₂²×C₄	—	13	1	no	—
677	C₂²×C₄	—	13	1	no	—
678	C₂²×C₄	—	13	1	no	—
679	C₂²×C₄	—	13	1	no	—
680	C₂²×C₄	—	13	1	no	—
681	C₂²×C₄	—	13	1	no	—
682	C₂²×C₄	—	13	1	no	—
683	C₂²×C₄	—	13	1	no	—
684	C₂²×C₄	—	13	1	no	—
685	C₂²×C₄	—	13	1	no	—
686	C₂²×C₄	—	13	1	no	—
687	C₂²×C₄	—	13	1	no	—
688	C₂²×C₄	—	13	1	no	—
689	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
690	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
691	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
692	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
693	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
694	C₄⋊C₄	—	13	1	no	—
695	C₄⋊C₄	—	13	1	no	—
696	C₄⋊C₄	—	13	1	no	—
697	C₄⋊C₄	—	13	1	no	—
698	C₄⋊C₄	—	13	1	no	—
699	C₄⋊C₄	—	13	1	no	—
700	C₄⋊C₄	—	13	1	no	—
701	C₄⋊C₄	—	13	1	no	—
702	C₄⋊C₄	—	13	1	no	—
703	C₄⋊C₄	—	13	1	no	—
704	C₄⋊C₄	—	13	1	no	—
705	C₄⋊C₄	—	13	1	no	—
706	C₄⋊C₄	—	13	1	no	—
707	C₄⋊C₄	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
745	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
746	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
747	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
748	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
749	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
750	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
751	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
752	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
753	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²⋊C₄	—	13	1	no	—
759	C₂²⋊C₄	—	13	1	no	—
760	C₂²⋊C₄	—	13	1	no	—
761	C₂²⋊C₄	—	13	1	no	—
762	C₂²⋊C₄	—	13	1	no	—
763	C₂²⋊C₄	—	13	1	no	—
764	C₂²⋊C₄	—	13	1	no	—
765	C₂²⋊C₄	—	13	1	no	—
766	C₂²⋊C₄	—	13	1	no	—
767	C₂²⋊C₄	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
781	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
782	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
783	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
784	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
785	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
786	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
787	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
788	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
789	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
790	C₄²	—	13	1	no	—
791	C₄²	—	13	1	no	—
792	C₄²	—	13	1	no	—
793	C₄²	—	13	1	no	—
794	C₄²	—	13	1	no	—
795	C₄²	—	13	1	no	—
796	C₄²	—	13	1	no	—
797	C₄²	—	13	1	no	—
798	C₄²	—	13	1	no	—
799	C₄²	—	13	1	no	—
800	C₄²	—	13	1	no	—
801	C₄²	—	13	1	no	—
802	C₄²	—	13	1	no	—
803	C₄²	—	13	1	no	—
804	C₄²	—	13	1	no	—
805	C₄²	—	13	1	no	—
806	C₄²	—	13	1	no	—
807	C₄²	—	13	1	no	—
808	C₄²	C₂²×D₁₃	1	1	yes	characteristic
809	C₄²	C₂²×D₁₃	1	1	yes	characteristic
810	C₁₃	#3515	1	1	yes	characteristic, complemented, Sylow
811	C₂³	—	13	1	no	—
812	C₂³	—	13	1	no	—
813	C₂³	C₂³×D₁₃	1	1	yes	characteristic
814	C₂³	C₂³×D₁₃	1	1	yes	characteristic
815	C₂³	C₂³×D₁₃	1	1	yes	characteristic
816	Q₈	—	4	1	no	—
817	Q₈	—	26	2	no	—
818	Q₈	—	26	2	no	—
819	Q₈	—	26	2	no	—
820	Q₈	—	26	2	no	—
821	Q₈	—	52	1	no	—
822	D₄	—	2	2	no	—
823	D₄	—	2	2	no	—
824	D₄	—	4	1	no	—
825	D₄	—	13	4	no	—
826	D₄	—	26	2	no	—
827	D₄	—	26	2	no	—
828	D₄	—	26	2	no	—
829	D₄	—	26	2	no	—
830	D₄	—	26	2	no	—
831	D₄	—	52	1	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	4	1	no	—
834	C₂×C₄	—	4	1	no	—
835	C₂×C₄	—	4	1	no	—
836	C₂×C₄	—	4	1	no	—
837	C₂×C₄	—	13	1	no	—
838	C₂×C₄	—	13	1	no	—
839	C₂×C₄	—	13	1	no	—
840	C₂×C₄	—	13	1	no	—
841	C₂×C₄	—	13	1	no	—
842	C₂×C₄	—	13	1	no	—
843	C₂×C₄	—	13	1	no	—
844	C₂×C₄	—	13	1	no	—
845	C₂×C₄	—	13	1	no	—
846	C₂×C₄	—	13	1	no	—
847	C₂×C₄	—	13	1	no	—
848	C₂×C₄	—	13	1	no	—
849	C₂×C₄	—	13	1	no	—
850	C₂×C₄	—	13	1	no	—
851	C₂×C₄	—	26	2	no	—
852	C₂×C₄	—	26	2	no	—
853	C₂×C₄	—	26	2	no	—
854	C₂×C₄	—	26	2	no	—
855	C₂×C₄	—	26	2	no	—
856	C₂×C₄	—	26	2	no	—
857	C₂×C₄	—	26	2	no	—
858	C₂×C₄	—	26	2	no	—
859	C₂×C₄	—	26	2	no	—
860	C₂×C₄	—	26	2	no	—
861	C₂×C₄	—	26	2	no	—
862	C₂×C₄	—	52	1	no	—
863	C₂×C₄	—	52	1	no	—
864	C₂×C₄	—	52	1	no	—
865	C₂×C₄	—	52	1	no	—
866	C₂×C₄	—	52	1	no	—
867	C₂×C₄	—	52	1	no	—
868	C₂×C₄	—	52	1	no	—
869	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
870	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
871	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
872	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
873	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
874	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
875	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
876	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
877	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
878	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
879	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
880	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
881	C₂²	—	2	1	no	—
882	C₂²	—	2	1	no	—
883	C₂²	—	2	1	no	—
884	C₂²	—	2	1	no	—
885	C₂²	—	2	1	no	—
886	C₂²	—	2	1	no	—
887	C₂²	—	2	1	no	—
888	C₂²	—	2	1	no	—
889	C₂²	—	13	2	no	—
890	C₂²	—	26	1	no	—
891	C₂²	—	26	1	no	—
892	C₂²	—	26	1	no	—
893	C₂²	—	26	1	no	—
894	C₂²	—	26	1	no	—
895	C₂²	#41×D₁₃	1	2	yes	—
896	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
897	C₄	—	2	1	no	—
898	C₄	—	2	1	no	—
899	C₄	—	2	1	no	—
900	C₄	—	2	1	no	—
901	C₄	—	2	1	no	—
902	C₄	—	2	1	no	—
903	C₄	—	2	1	no	—
904	C₄	—	2	1	no	—
905	C₄	—	2	1	no	—
906	C₄	—	2	1	no	—
907	C₄	—	2	1	no	—
908	C₄	—	2	1	no	—
909	C₄	—	13	2	no	—
910	C₄	—	13	2	no	—
911	C₄	—	26	1	no	—
912	C₄	—	26	1	no	—
913	C₄	—	26	1	no	—
914	C₄	—	26	1	no	—
915	C₄	—	26	1	no	—
916	C₄	—	26	1	no	—
917	C₄	—	26	1	no	—
918	C₄	—	26	1	no	—
919	C₄	—	26	1	no	—
920	C₄	—	26	1	no	—
921	C₄	—	26	1	no	—
922	C₄	—	26	1	no	—
923	C₂	—	2	2	no	—
924	C₂	—	4	1	no	—
925	C₂	—	4	1	no	—
926	C₂	—	26	2	no	—
927	C₂	—	52	1	no	—
928	C₂	C₂×#41×D₁₃	1	1	yes	characteristic
929	C₂	#11719650	1	1	yes	characteristic
930	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	#3515
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. #11719413	C₂	semidirect
3. #11719413	C₂	semidirect
4. #11719411	C₂	semidirect
5. #11719406	C₂	semidirect
6. #11719401	C₂	semidirect
7. #11719398	C₂	semidirect
8. D₁₃×#125	C₂	semidirect
9. #11719390	C₂	semidirect
10. #11719366	C₂	semidirect
11. #11719365	C₂	semidirect
12. #11719360	C₂	semidirect
13. #11719360	C₂	semidirect
14. #11719355	C₂	semidirect
15. #11719355	C₂	semidirect
16. #11719355	C₂	semidirect
17. #11719354	C₂	semidirect
18. #11719347	C₂	semidirect
19. #11719344	C₂	semidirect
20. #11719343	C₂	semidirect
21. #11719341	C₂	semidirect
22. #11719341	C₂	semidirect
23. #11719327	C₂	semidirect
24. #11719316	C₂	semidirect
25. #11719306	C₂	semidirect
26. #11719269	C₂	semidirect
27. #11719251	C₂	semidirect
28. #11719243	C₂	semidirect
29. C₄×#6129	C₂	semidirect
30. #11719209	C₂	semidirect
31. C₂×#88143	C₂	semidirect
437. #539	D₁₃	semidirect
810. C₁₃	#3515	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
#11719413	2
#11719411	2
#11719406	2
#11719401	2
#11719398	2
D₁₃×#125	2
#11719390	2
#11719366	2
#11719365	2
#11719360	2
#11719355	2
#11719354	2
#11719347	2
#11719344	2
#11719343	2
#11719341	2
#11719327	2
#11719316	2
#11719306	2
#11719269	2
#11719251	2
#11719243	2
C₄×#6129	2
#11719209	2
C₂×#88143	2
#3515	13