Subgroups — #13128579

Order 1664.

1022 conjugacy classes of subgroups.

The subgroup lattice has 934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	#11719415	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	#11719407	C₂	1	1	yes	maximal, characteristic, complemented
6	#11719401	C₂	1	1	yes	maximal, characteristic, complemented
7	#11719401	C₂	1	1	yes	maximal, characteristic, complemented
8	#11719398	C₂	1	1	yes	maximal, characteristic, complemented
9	#11719398	C₂	1	1	yes	maximal, characteristic, complemented
10	#11719395	C₂	1	1	yes	maximal, characteristic, complemented
11	#11719393	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719363	C₂	1	1	yes	maximal, characteristic, complemented
13	#11719361	C₂	1	1	yes	maximal, characteristic
14	#11719355	C₂	1	1	yes	maximal, characteristic, complemented
15	#11719353	C₂	1	1	yes	maximal, characteristic, complemented
16	#11719345	C₂	1	1	yes	maximal, characteristic, complemented
17	#11719342	C₂	1	1	yes	maximal, characteristic, complemented
18	#11719341	C₂	1	1	yes	maximal, characteristic, complemented
19	#11719328	C₂	1	1	yes	maximal, characteristic, complemented
20	#11719283	C₂	1	1	yes	maximal, characteristic, complemented
21	#11719273	C₂	1	1	yes	maximal, characteristic, complemented
22	#11719261	C₂	1	1	yes	maximal, characteristic, complemented
23	#11719251	C₂	1	1	yes	maximal, characteristic, complemented
24	#11719236	C₂	1	1	yes	maximal, characteristic, complemented
25	#11719236	C₂	1	1	yes	maximal, characteristic, complemented
26	#11719233	C₂	1	1	yes	maximal, characteristic, complemented
27	#11719232	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
29	#11719221	C₂	1	1	yes	maximal, characteristic, complemented
30	#11719218	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#88150	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#6129	C₂²	1	1	yes	characteristic
33	C₂²×C₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂²×Dic₂₆	C₂²	1	1	yes	characteristic
35	C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#123	C₂²	1	1	yes	characteristic
41	C₁₃×#123	C₂²	1	1	yes	characteristic
42	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₁₃×#117	C₂²	1	1	yes	characteristic
47	C₁₃×#117	C₂²	1	1	yes	characteristic
48	C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	#88201	C₂²	1	1	yes	characteristic
51	#88200	C₂²	1	1	yes	characteristic
52	#88198	C₂²	1	1	yes	characteristic, complemented
53	#88198	C₂²	1	1	yes	characteristic, complemented
54	#88191	C₂²	1	1	yes	characteristic
55	#88189	C₂²	1	1	yes	characteristic
56	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
57	#88183	C₂²	1	1	yes	characteristic
58	#88183	C₂²	1	1	yes	characteristic
59	#88183	C₂²	1	1	yes	characteristic
60	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
61	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
62	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×#6103	C₂²	1	1	yes	characteristic
64	C₂×#6103	C₂²	1	1	yes	characteristic
65	#88180	C₂²	1	1	yes	characteristic
66	#88180	C₂²	1	1	yes	characteristic
67	#88178	C₂²	1	1	yes	characteristic
68	C₂×#6101	C₂²	1	1	yes	characteristic
69	C₂×#6101	C₂²	1	1	yes	characteristic
70	C₂×#6101	C₂²	1	1	yes	characteristic, complemented
71	#88152	C₂²	1	1	yes	characteristic
72	#88152	C₂²	1	1	yes	characteristic
73	#88152	C₂²	1	1	yes	characteristic
74	#88152	C₂²	1	1	yes	characteristic
75	#88152	C₂²	1	1	yes	characteristic
76	#88152	C₂²	1	1	yes	characteristic
77	#88152	C₂²	1	1	yes	characteristic, complemented
78	#88152	C₂²	1	1	yes	characteristic, complemented
79	#88152	C₂²	1	1	yes	characteristic, complemented
80	#88151	C₂²	1	1	yes	characteristic
81	#88151	C₂²	1	1	yes	characteristic, complemented
82	#88150	C₂²	1	1	yes	characteristic
83	#88150	C₂²	1	1	yes	characteristic
84	#88150	C₂²	1	1	yes	characteristic
85	#88150	C₂²	1	1	yes	characteristic
86	#88150	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	#88150	C₂²	1	1	yes	characteristic
93	#88150	C₂²	1	1	yes	characteristic
94	#88150	C₂²	1	1	yes	characteristic, complemented
95	#88150	C₂²	1	1	yes	characteristic, complemented
96	#88150	C₂²	1	1	yes	characteristic, complemented
97	#88148	C₂²	1	1	yes	characteristic
98	#88148	C₂²	1	1	yes	characteristic
99	#88148	C₂²	1	1	yes	characteristic
100	#88148	C₂²	1	1	yes	characteristic
101	#88147	C₂²	1	1	yes	characteristic
102	#88147	C₂²	1	1	yes	characteristic
103	#88147	C₂²	1	1	yes	characteristic
104	#88146	C₂²	1	1	yes	characteristic
105	#88146	C₂²	1	1	yes	characteristic
106	#88146	C₂²	1	1	yes	characteristic
107	#88146	C₂²	1	1	yes	characteristic
108	#88146	C₂²	1	1	yes	characteristic, complemented
109	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
110	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
111	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
112	#88144	C₂²	1	1	yes	characteristic, complemented
113	#88144	C₂²	1	1	yes	characteristic, complemented
114	#88143	C₂²	1	1	yes	characteristic, complemented
115	#88143	C₂²	1	1	yes	characteristic, complemented
116	#88143	C₂²	1	1	yes	characteristic, complemented
117	#88143	C₂²	1	1	yes	characteristic, complemented
118	#88143	C₂²	1	1	yes	characteristic, complemented
119	#88143	C₂²	1	1	yes	characteristic, complemented
120	#88143	C₂²	1	1	yes	characteristic, complemented
121	#88143	C₂²	1	1	yes	characteristic, complemented
122	#88143	C₂²	1	1	yes	characteristic, complemented
123	#88143	C₂²	1	1	yes	characteristic, complemented
124	#88142	C₂²	1	1	yes	characteristic, complemented
125	#88142	C₂²	1	1	yes	characteristic, complemented
126	#88142	C₂²	1	1	yes	characteristic, complemented
127	#88142	C₂²	1	1	yes	characteristic, complemented
128	#88141	C₂²	1	1	yes	characteristic, complemented
129	#88141	C₂²	1	1	yes	characteristic, complemented
130	#88141	C₂²	1	1	yes	characteristic, complemented
131	#88141	C₂²	1	1	yes	characteristic, complemented
132	#88141	C₂²	1	1	yes	characteristic, complemented
133	#88141	C₂²	1	1	yes	characteristic, complemented
134	#88141	C₂²	1	1	yes	characteristic, complemented
135	#88140	C₂²	1	1	yes	characteristic
136	#88140	C₂²	1	1	yes	characteristic
137	#88139	C₂²	1	1	yes	characteristic
138	#88139	C₂²	1	1	yes	characteristic
139	#88139	C₂²	1	1	yes	characteristic, complemented
140	#88139	C₂²	1	1	yes	characteristic, complemented
141	#88138	C₂²	1	1	yes	characteristic
142	#88138	C₂²	1	1	yes	characteristic
143	#88137	C₂²	1	1	yes	characteristic
144	#88137	C₂²	1	1	yes	characteristic
145	#88136	C₂²	1	1	yes	characteristic
146	#88135	C₂²	1	1	yes	characteristic
147	#88135	C₂²	1	1	yes	characteristic
148	#88135	C₂²	1	1	yes	characteristic
149	#88135	C₂²	1	1	yes	characteristic
150	#88135	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
153	#88133	C₂²	1	1	yes	characteristic, complemented
154	#88133	C₂²	1	1	yes	characteristic, complemented
155	#88132	C₂²	1	1	yes	characteristic
156	#88132	C₂²	1	1	yes	characteristic
157	#88132	C₂²	1	1	yes	characteristic, complemented
158	#88132	C₂²	1	1	yes	characteristic, complemented
159	#88132	C₂²	1	1	yes	characteristic, complemented
160	#88131	C₂²	1	1	yes	characteristic
161	#88131	C₂²	1	1	yes	characteristic
162	#88131	C₂²	1	1	yes	characteristic
163	#88131	C₂²	1	1	yes	characteristic
164	#88131	C₂²	1	1	yes	characteristic
165	#88131	C₂²	1	1	yes	characteristic, complemented
166	#88131	C₂²	1	1	yes	characteristic, complemented
167	#88130	C₂²	1	1	yes	characteristic
168	#88130	C₂²	1	1	yes	characteristic
169	#88130	C₂²	1	1	yes	characteristic, complemented
170	#88129	C₂²	1	1	yes	characteristic
171	C₄×D₅₂	C₂²	1	1	yes	characteristic
172	#88126	C₂²	1	1	yes	characteristic
173	#88126	C₂²	1	1	yes	characteristic
174	#88126	C₂²	1	1	yes	characteristic
175	#88126	C₂²	1	1	yes	characteristic
176	#88126	C₂²	1	1	yes	characteristic, complemented
177	#88126	C₂²	1	1	yes	characteristic, complemented
178	C₄²×D₁₃	C₂²	1	1	yes	characteristic
179	C₄²×D₁₃	C₂²	1	1	yes	characteristic
180	#88124	C₂²	1	1	yes	characteristic, complemented
181	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
185	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₃	C₂³	1	1	yes	characteristic
188	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×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	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
200	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
201	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
203	#6129	—	2	4	no	—
204	C₂×D₅₂	C₂³	1	1	yes	characteristic
205	C₂×D₅₂	C₂³	1	1	yes	characteristic
206	C₂×C₄×D₁₃	—	2	4	no	—
207	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄×D₁₃	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×Dic₂₆	—	2	4	no	—
219	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
220	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
221	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
222	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₁₃×C₄⋊C₄	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	C₄²×C₁₃	C₂³	1	1	yes	characteristic
252	C₄²×C₁₃	C₂³	1	1	yes	characteristic
253	C₄²×C₁₃	C₂³	1	1	yes	characteristic
254	C₄²×C₁₃	C₂³	1	1	yes	characteristic
255	C₄²×C₁₃	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	#6103	C₂³	1	1	yes	characteristic
263	#6103	C₂³	1	1	yes	characteristic
264	#6103	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	#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	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	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	#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	#6101	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	#3495	—	13	1	no	maximal, Sylow
346	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂²×D₁₃	—	2	2	no	—
349	C₂²×D₁₃	—	2	2	no	—
350	C₂²×D₁₃	—	4	1	no	—
351	C₂²×D₁₃	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	C₂×C₄×C₁₃	—	2	2	no	—
357	C₂×C₄×C₁₃	—	2	2	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	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×Dic₁₃	—	2	2	no	—
378	C₂×Dic₁₃	—	2	2	no	—
379	C₂×Dic₁₃	—	4	1	no	—
380	C₂×Dic₁₃	—	4	1	no	—
381	C₂×Dic₁₃	#41	1	4	yes	—
382	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	D₅₂	—	2	2	no	—
396	D₅₂	—	4	1	no	—
397	C₄×D₁₃	—	2	2	no	—
398	C₄×D₁₃	—	2	2	no	—
399	C₄×D₁₃	—	2	2	no	—
400	C₄×D₁₃	—	2	2	no	—
401	C₄×D₁₃	—	2	2	no	—
402	C₄×D₁₃	—	2	2	no	—
403	C₄×D₁₃	—	2	2	no	—
404	C₄×D₁₃	—	4	1	no	—
405	C₄×D₁₃	—	4	1	no	—
406	C₄×D₁₃	—	4	1	no	—
407	C₄×D₁₃	—	4	1	no	—
408	Dic₂₆	—	2	2	no	—
409	Dic₂₆	—	2	2	no	—
410	Dic₂₆	—	2	2	no	—
411	Dic₂₆	—	2	2	no	—
412	Dic₂₆	—	2	2	no	—
413	Dic₂₆	—	4	1	no	—
414	Dic₂₆	—	4	1	no	—
415	Dic₂₆	—	4	1	no	—
416	#556	—	13	1	no	—
417	#556	—	13	1	no	—
418	#554	—	13	1	no	—
419	#554	—	13	1	no	—
420	#552	—	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	D₁₃	1	1	yes	characteristic, complemented
428	#551	—	13	1	no	—
429	#551	—	13	1	no	—
430	#551	—	13	1	no	—
431	#551	—	13	1	no	—
432	#544	—	13	1	no	—
433	#542	—	13	1	no	—
434	#542	—	13	1	no	—
435	#541	—	13	1	no	—
436	#541	—	13	1	no	—
437	#536	—	13	1	no	—
438	#533	—	13	1	no	—
439	#533	—	13	1	no	—
440	#529	—	13	1	no	—
441	#529	—	13	1	no	—
442	#525	—	13	1	no	—
443	C₂×C₂²⋊Q₈	—	13	1	no	—
444	#520	—	13	1	no	—
445	#519	—	13	1	no	—
446	C₂×#117	—	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	C₂×#41	1	2	yes	—
453	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
454	C₂×D₁₃	—	2	1	no	—
455	C₂×D₁₃	—	2	1	no	—
456	C₂×D₁₃	—	2	1	no	—
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	—	4	4	no	—
463	C₂×D₁₃	2₋¹⁺⁴	1	2	yes	—
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	C₄×C₁₃	—	2	1	no	—
476	C₄×C₁₃	—	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	—	2	1	no	—
488	Dic₁₃	C₂×#41	1	2	yes	—
489	Dic₁₃	C₂×#41	1	2	yes	—
490	C₂×#41	—	13	1	no	—
491	C₂²×Q₈	—	13	1	no	—
492	C₂³×C₄	—	13	1	no	—
493	C₄⋊Q₈	—	13	1	no	—
494	C₄⋊Q₈	—	13	1	no	—
495	C₄⋊Q₈	—	13	1	no	—
496	C₄⋊Q₈	—	13	1	no	—
497	C₄⋊Q₈	—	13	1	no	—
498	C₄⋊Q₈	—	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	—	13	1	no	—
509	#126	—	13	1	no	—
510	#126	—	13	1	no	—
511	#126	—	13	1	no	—
512	#126	—	13	1	no	—
513	#126	C₂×D₁₃	1	1	yes	characteristic, complemented
514	#126	C₂×D₁₃	1	1	yes	characteristic, complemented
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	C₂×D₁₃	1	1	yes	characteristic, complemented
529	#125	C₂×D₁₃	1	1	yes	characteristic, complemented
530	#125	C₂×D₁₃	1	1	yes	characteristic, complemented
531	#124	—	13	1	no	—
532	#124	—	13	1	no	—
533	#124	—	13	1	no	—
534	#124	—	13	1	no	—
535	#124	—	13	1	no	—
536	#124	—	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	C₂×D₁₃	1	1	yes	characteristic
550	#123	C₂×D₁₃	1	1	yes	characteristic
551	C₂²⋊Q₈	—	13	1	no	—
552	C₂²⋊Q₈	—	13	1	no	—
553	C₂²⋊Q₈	—	13	1	no	—
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	—	13	1	no	—
571	C₂²⋊Q₈	—	13	1	no	—
572	C₂²⋊Q₈	—	13	1	no	—
573	C₂²⋊Q₈	—	13	1	no	—
574	C₂²⋊Q₈	—	13	1	no	—
575	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
576	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
577	#121	—	13	1	no	—
578	#121	—	13	1	no	—
579	#120	—	13	1	no	—
580	#120	—	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×Q₈	—	13	1	no	—
592	C₄×Q₈	—	13	1	no	—
593	C₄×Q₈	—	13	1	no	—
594	C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
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	C₂×D₁₃	1	1	yes	characteristic
609	#117	—	13	1	no	—
610	#117	—	13	1	no	—
611	#117	—	13	1	no	—
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	#117	—	13	1	no	—
628	#117	—	13	1	no	—
629	#117	C₂×D₁₃	1	1	yes	characteristic
630	#117	C₂×D₁₃	1	1	yes	characteristic
631	#117	C₂×D₁₃	1	1	yes	characteristic, complemented
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	C₂×D₁₃	1	1	yes	characteristic
639	C₂×C₂²⋊C₄	—	13	1	no	—
640	C₂×C₂²⋊C₄	—	13	1	no	—
641	C₂×C₂²⋊C₄	—	13	1	no	—
642	C₂×C₂²⋊C₄	—	13	1	no	—
643	C₂×C₄²	—	13	1	no	—
644	C₂×C₄²	—	13	1	no	—
645	C₂×C₁₃	—	2	2	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	D₁₃	—	4	1	no	—
653	C₂⁴	—	13	1	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	—	13	1	no	—
661	C₂×Q₈	—	13	1	no	—
662	C₂×Q₈	—	13	1	no	—
663	C₂×Q₈	—	26	4	no	—
664	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic
665	C₂×D₄	—	13	1	no	—
666	C₂×D₄	—	13	1	no	—
667	C₂×D₄	—	13	1	no	—
668	C₂×D₄	—	13	1	no	—
669	C₂×D₄	—	13	1	no	—
670	C₂×D₄	—	13	1	no	—
671	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
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	—	26	4	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	C₄⋊C₄	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
736	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
737	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
738	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
739	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
740	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
741	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
742	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
743	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²⋊C₄	—	13	1	no	—
752	C₂²⋊C₄	—	13	1	no	—
753	C₂²⋊C₄	—	13	1	no	—
754	C₂²⋊C₄	—	13	1	no	—
755	C₂²⋊C₄	—	13	1	no	—
756	C₂²⋊C₄	—	13	1	no	—
757	C₂²⋊C₄	—	13	1	no	—
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	—	13	1	no	—
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	C₄²	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
807	C₄²	C₂²×D₁₃	1	1	yes	characteristic
808	C₄²	C₂²×D₁₃	1	1	yes	characteristic
809	C₄²	C₂²×D₁₃	1	1	yes	characteristic
810	C₄²	C₂²×D₁₃	1	1	yes	characteristic
811	C₁₃	#3495	1	1	yes	characteristic, complemented, Sylow
812	C₂³	—	13	1	no	—
813	C₂³	—	13	1	no	—
814	C₂³	—	13	1	no	—
815	C₂³	—	26	2	no	—
816	C₂³	—	26	2	no	—
817	C₂³	—	52	1	no	—
818	C₂³	C₂³×D₁₃	1	1	yes	characteristic
819	C₂³	C₂³×D₁₃	1	1	yes	characteristic
820	Q₈	—	4	1	no	—
821	Q₈	—	26	2	no	—
822	Q₈	—	26	2	no	—
823	Q₈	—	26	2	no	—
824	Q₈	—	26	2	no	—
825	Q₈	—	26	2	no	—
826	Q₈	—	52	1	no	—
827	Q₈	—	52	1	no	—
828	Q₈	—	52	1	no	—
829	D₄	—	2	2	no	—
830	D₄	—	26	2	no	—
831	D₄	—	26	2	no	—
832	D₄	—	26	2	no	—
833	D₄	—	26	2	no	—
834	D₄	—	52	1	no	—
835	D₄	—	52	1	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	4	1	no	—
839	C₂×C₄	—	4	1	no	—
840	C₂×C₄	—	13	4	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	—	13	1	no	—
852	C₂×C₄	—	13	1	no	—
853	C₂×C₄	—	13	1	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	—	26	2	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	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	13	2	no	—
888	C₂²	—	26	1	no	—
889	C₂²	—	26	1	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	—	26	1	no	—
896	C₂²	—	52	4	no	—
897	C₂²	#41×D₁₃	1	2	yes	—
898	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
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	—	2	1	no	—
910	C₄	—	2	1	no	—
911	C₄	—	2	1	no	—
912	C₄	—	13	2	no	—
913	C₄	—	13	2	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	C₄	—	26	1	no	—
924	C₄	—	26	1	no	—
925	C₂	—	2	2	no	—
926	C₂	—	4	1	no	—
927	C₂	—	26	2	no	—
928	C₂	—	52	1	no	—
929	C₂	—	52	1	no	—
930	C₂	C₂×#41×D₁₃	1	1	yes	characteristic
931	C₂	#11719648	1	1	yes	characteristic
932	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×#552	C₂
prime radical	#11719361	C₂
hypercenter	#552	D₁₃
hypocenter	C₁₃	#3495
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #552

Complements

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

N	H ≅ G/N	type
1. C₁₃×#552	C₂	semidirect
2. #11719415	C₂	semidirect
3. #11719413	C₂	semidirect
4. #11719411	C₂	semidirect
5. #11719407	C₂	semidirect
6. #11719401	C₂	semidirect
7. #11719401	C₂	semidirect
8. #11719398	C₂	semidirect
9. #11719398	C₂	semidirect
10. #11719395	C₂	semidirect
11. #11719393	C₂	semidirect
12. #11719363	C₂	semidirect
14. #11719355	C₂	semidirect
15. #11719353	C₂	semidirect
16. #11719345	C₂	semidirect
17. #11719342	C₂	semidirect
18. #11719341	C₂	semidirect
19. #11719328	C₂	semidirect
20. #11719283	C₂	semidirect
21. #11719273	C₂	semidirect
22. #11719261	C₂	semidirect
23. #11719251	C₂	semidirect
24. #11719236	C₂	semidirect
25. #11719236	C₂	semidirect
26. #11719233	C₂	semidirect
27. #11719232	C₂	semidirect
28. D₁₃×#117	C₂	semidirect
29. #11719221	C₂	semidirect
30. #11719218	C₂	semidirect
31. C₂×#88150	C₂	semidirect
35. C₁₃×#126	C₂²	semidirect
36. C₁₃×#126	C₂²	semidirect
37. C₁₃×#125	C₂²	semidirect
38. C₁₃×#125	C₂²	semidirect
39. C₁₃×#125	C₂²	semidirect
43. C₁₃×C₂²⋊Q₈	C₂²	semidirect
44. C₄×Q₈×C₁₃	C₂²	semidirect
48. C₁₃×#117	C₂²	semidirect
52. #88198	C₂²	semidirect
53. #88198	C₂²	semidirect
62. C₄×C₂²⋊D₁₃	C₂²	semidirect
70. C₂×#6101	C₂²	semidirect
77. #88152	C₂²	semidirect
78. #88152	C₂²	semidirect
79. #88152	C₂²	semidirect
81. #88151	C₂²	semidirect
94. #88150	C₂²	semidirect
95. #88150	C₂²	semidirect
96. #88150	C₂²	semidirect
108. #88146	C₂²	semidirect
111. C₄⋊C₄×D₁₃	C₂²	semidirect
112. #88144	C₂²	semidirect
113. #88144	C₂²	semidirect
114. #88143	C₂²	semidirect
115. #88143	C₂²	semidirect
116. #88143	C₂²	semidirect
117. #88143	C₂²	semidirect
118. #88143	C₂²	semidirect
119. #88143	C₂²	semidirect
120. #88143	C₂²	semidirect
121. #88143	C₂²	semidirect
122. #88143	C₂²	semidirect
123. #88143	C₂²	semidirect
124. #88142	C₂²	semidirect
125. #88142	C₂²	semidirect
126. #88142	C₂²	semidirect
127. #88142	C₂²	semidirect
128. #88141	C₂²	semidirect
129. #88141	C₂²	semidirect
130. #88141	C₂²	semidirect
131. #88141	C₂²	semidirect
132. #88141	C₂²	semidirect
133. #88141	C₂²	semidirect
134. #88141	C₂²	semidirect
139. #88139	C₂²	semidirect
140. #88139	C₂²	semidirect
150. #88135	C₂²	semidirect
153. #88133	C₂²	semidirect
154. #88133	C₂²	semidirect
157. #88132	C₂²	semidirect
158. #88132	C₂²	semidirect
159. #88132	C₂²	semidirect
165. #88131	C₂²	semidirect
166. #88131	C₂²	semidirect
169. #88130	C₂²	semidirect
176. #88126	C₂²	semidirect
177. #88126	C₂²	semidirect
180. #88124	C₂²	semidirect
181. C₄×Dic₂₆	C₂²	semidirect
182. C₄×Dic₂₆	C₂²	semidirect
183. C₄×Dic₂₆	C₂²	semidirect
184. C₄×Dic₂₆	C₂²	semidirect
185. C₄×Dic₂₆	C₂²	semidirect
186. C₄×Dic₂₆	C₂²	semidirect
427. #552	D₁₃	semidirect
513. #126	C₂×D₁₃	semidirect
514. #126	C₂×D₁₃	semidirect
528. #125	C₂×D₁₃	semidirect
529. #125	C₂×D₁₃	semidirect
530. #125	C₂×D₁₃	semidirect
576. C₂²⋊Q₈	C₂×D₁₃	semidirect
594. C₄×Q₈	C₂×D₁₃	semidirect
631. #117	C₂×D₁₃	semidirect
811. C₁₃	#3495	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#552	2
#11719415	2
#11719413	2
#11719411	2
#11719407	2
#11719401	2
#11719398	2
#11719395	2
#11719393	2
#11719363	2
#11719361	2
#11719355	2
#11719353	2
#11719345	2
#11719342	2
#11719341	2
#11719328	2
#11719283	2
#11719273	2
#11719261	2
#11719251	2
#11719236	2
#11719233	2
#11719232	2
D₁₃×#117	2
#11719221	2
#11719218	2
C₂×#88150	2
#3495	13