Subgroups — #13129315

Order 1664.

910 conjugacy classes of subgroups.

The subgroup lattice has 886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#563	C₂	1	1	yes	maximal, characteristic, complemented
2	#11719436	C₂	1	1	yes	maximal, characteristic, complemented
3	#11719434	C₂	1	1	yes	maximal, characteristic, complemented
4	#11719427	C₂	1	1	yes	maximal, characteristic, complemented
5	#11719426	C₂	1	1	yes	maximal, characteristic, complemented
6	#11719413	C₂	1	1	yes	maximal, characteristic, complemented
7	#11719407	C₂	1	1	yes	maximal, characteristic, complemented
8	#11719407	C₂	1	1	yes	maximal, characteristic, complemented
9	#11719407	C₂	1	1	yes	maximal, characteristic, complemented
10	#11719406	C₂	1	1	yes	maximal, characteristic, complemented
11	#11719406	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719406	C₂	1	1	yes	maximal, characteristic, complemented
13	#11719406	C₂	1	1	yes	maximal, characteristic, complemented
14	#11719401	C₂	1	1	yes	maximal, characteristic, complemented
15	#11719401	C₂	1	1	yes	maximal, characteristic, complemented
16	#11719390	C₂	1	1	yes	maximal, characteristic, complemented
17	#11719390	C₂	1	1	yes	maximal, characteristic, complemented
18	#11719376	C₂	1	1	yes	maximal, characteristic, complemented
19	#11719374	C₂	1	1	yes	maximal, characteristic
20	#11719367	C₂	1	1	yes	maximal, characteristic
21	#11719356	C₂	1	1	yes	maximal, characteristic, complemented
22	#11719355	C₂	1	1	yes	maximal, characteristic, complemented
23	#11719354	C₂	1	1	yes	maximal, characteristic
24	#11719351	C₂	1	1	yes	maximal, characteristic, complemented
25	#11719351	C₂	1	1	yes	maximal, characteristic, complemented
26	#11719346	C₂	1	1	yes	maximal, characteristic, complemented
27	#11719341	C₂	1	1	yes	maximal, characteristic, complemented
28	#11719330	C₂	1	1	yes	maximal, characteristic, complemented
29	#11719328	C₂	1	1	yes	maximal, characteristic, complemented
30	#11719327	C₂	1	1	yes	maximal, characteristic, complemented
31	#11719327	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
33	C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
34	C₁₃×#126	C₂²	1	1	yes	characteristic
35	C₁₃×#126	C₂²	1	1	yes	characteristic
36	C₁₃×#126	C₂²	1	1	yes	characteristic
37	C₁₃×#126	C₂²	1	1	yes	characteristic
38	C₁₃×#125	C₂²	1	1	yes	characteristic
39	C₁₃×#125	C₂²	1	1	yes	characteristic
40	C₁₃×#124	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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	#88200	C₂²	1	1	yes	characteristic
48	#88200	C₂²	1	1	yes	characteristic
49	#88200	C₂²	1	1	yes	characteristic
50	Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
51	Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
52	Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
53	#88198	C₂²	1	1	yes	characteristic
54	#88198	C₂²	1	1	yes	characteristic
55	#88198	C₂²	1	1	yes	characteristic
56	#88198	C₂²	1	1	yes	characteristic
57	#88198	C₂²	1	1	yes	characteristic
58	#88198	C₂²	1	1	yes	characteristic
59	#88193	C₂²	1	1	yes	characteristic
60	#88190	C₂²	1	1	yes	characteristic
61	#88189	C₂²	1	1	yes	characteristic
62	D₄×Dic₁₃	C₂²	1	1	yes	characteristic
63	#88183	C₂²	1	1	yes	characteristic
64	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
65	#88180	C₂²	1	1	yes	characteristic
66	#88178	C₂²	1	1	yes	characteristic
67	#88178	C₂²	1	1	yes	characteristic
68	#88178	C₂²	1	1	yes	characteristic
69	C₂×#6101	C₂²	1	1	yes	characteristic
70	C₂×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
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
78	#88152	C₂²	1	1	yes	characteristic
79	#88150	C₂²	1	1	yes	characteristic
80	#88150	C₂²	1	1	yes	characteristic
81	#88150	C₂²	1	1	yes	characteristic
82	#88150	C₂²	1	1	yes	characteristic
83	#88150	C₂²	1	1	yes	characteristic
84	#88146	C₂²	1	1	yes	characteristic
85	#88146	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
87	#88144	C₂²	1	1	yes	characteristic
88	#88144	C₂²	1	1	yes	characteristic
89	#88144	C₂²	1	1	yes	characteristic
90	#88144	C₂²	1	1	yes	characteristic
91	#88144	C₂²	1	1	yes	characteristic
92	#88144	C₂²	1	1	yes	characteristic
93	#88143	C₂²	1	1	yes	characteristic
94	#88143	C₂²	1	1	yes	characteristic
95	#88143	C₂²	1	1	yes	characteristic
96	#88143	C₂²	1	1	yes	characteristic
97	#88143	C₂²	1	1	yes	characteristic
98	#88143	C₂²	1	1	yes	characteristic
99	#88143	C₂²	1	1	yes	characteristic
100	#88143	C₂²	1	1	yes	characteristic
101	#88143	C₂²	1	1	yes	characteristic
102	#88143	C₂²	1	1	yes	characteristic
103	#88143	C₂²	1	1	yes	characteristic
104	#88143	C₂²	1	1	yes	characteristic
105	#88143	C₂²	1	1	yes	characteristic
106	#88143	C₂²	1	1	yes	characteristic
107	#88143	C₂²	1	1	yes	characteristic
108	#88143	C₂²	1	1	yes	characteristic
109	#88143	C₂²	1	1	yes	characteristic
110	#88143	C₂²	1	1	yes	characteristic
111	#88143	C₂²	1	1	yes	characteristic
112	#88142	C₂²	1	1	yes	characteristic
113	#88142	C₂²	1	1	yes	characteristic
114	#88142	C₂²	1	1	yes	characteristic
115	#88142	C₂²	1	1	yes	characteristic
116	#88142	C₂²	1	1	yes	characteristic
117	#88142	C₂²	1	1	yes	characteristic
118	#88142	C₂²	1	1	yes	characteristic
119	#88142	C₂²	1	1	yes	characteristic
120	#88142	C₂²	1	1	yes	characteristic
121	#88142	C₂²	1	1	yes	characteristic
122	#88141	C₂²	1	1	yes	characteristic
123	#88141	C₂²	1	1	yes	characteristic
124	#88141	C₂²	1	1	yes	characteristic
125	#88141	C₂²	1	1	yes	characteristic
126	#88141	C₂²	1	1	yes	characteristic
127	#88141	C₂²	1	1	yes	characteristic
128	#88141	C₂²	1	1	yes	characteristic
129	#88141	C₂²	1	1	yes	characteristic
130	#88141	C₂²	1	1	yes	characteristic
131	#88141	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	#88139	C₂²	1	1	yes	characteristic
136	#88139	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
140	#88137	C₂²	1	1	yes	characteristic
141	#88137	C₂²	1	1	yes	characteristic
142	#88135	C₂²	1	1	yes	characteristic
143	#88135	C₂²	1	1	yes	characteristic
144	#88135	C₂²	1	1	yes	characteristic
145	#88133	C₂²	1	1	yes	characteristic
146	#88133	C₂²	1	1	yes	characteristic
147	#88133	C₂²	1	1	yes	characteristic
148	#88133	C₂²	1	1	yes	characteristic
149	#88133	C₂²	1	1	yes	characteristic
150	#88133	C₂²	1	1	yes	characteristic
151	#88133	C₂²	1	1	yes	characteristic
152	#88133	C₂²	1	1	yes	characteristic
153	#88133	C₂²	1	1	yes	characteristic
154	#88133	C₂²	1	1	yes	characteristic
155	#88133	C₂²	1	1	yes	characteristic
156	#88133	C₂²	1	1	yes	characteristic
157	#88133	C₂²	1	1	yes	characteristic
158	#88132	C₂²	1	1	yes	characteristic
159	#88132	C₂²	1	1	yes	characteristic
160	#88132	C₂²	1	1	yes	characteristic
161	#88132	C₂²	1	1	yes	characteristic
162	#88132	C₂²	1	1	yes	characteristic
163	#88132	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	#88131	C₂²	1	1	yes	characteristic
169	#88131	C₂²	1	1	yes	characteristic
170	#88131	C₂²	1	1	yes	characteristic
171	#88131	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	#88130	C₂²	1	1	yes	characteristic
176	#88126	C₂²	1	1	yes	characteristic
177	#88126	C₂²	1	1	yes	characteristic
178	#88124	C₂²	1	1	yes	characteristic
179	#88124	C₂²	1	1	yes	characteristic
180	C₄×Dic₂₆	C₂²	1	1	yes	characteristic
181	C₄×Dic₂₆	C₂²	1	1	yes	characteristic
182	C₄×Dic₂₆	C₂²	1	1	yes	characteristic
183	C₄×Dic₂₆	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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂×Q₈×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	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
196	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
197	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
198	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
203	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
204	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
205	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
206	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
207	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
208	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
209	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
210	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
211	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
212	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	C₄²×C₁₃	C₂³	1	1	yes	characteristic
240	C₄²×C₁₃	C₂³	1	1	yes	characteristic
241	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	#6103	C₂³	1	1	yes	characteristic
252	#6103	C₂³	1	1	yes	characteristic
253	#6103	C₂³	1	1	yes	characteristic
254	#6103	C₂³	1	1	yes	characteristic
255	#6103	C₂³	1	1	yes	characteristic
256	#6103	C₂³	1	1	yes	characteristic
257	#6103	C₂³	1	1	yes	characteristic
258	#6103	C₂³	1	1	yes	characteristic
259	#6103	C₂³	1	1	yes	characteristic
260	#6103	C₂³	1	1	yes	characteristic
261	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
262	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
263	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
264	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
265	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
266	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
267	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
268	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
269	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
270	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
271	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
272	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
275	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
276	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
277	#6101	C₂³	1	1	yes	characteristic
278	#6101	C₂³	1	1	yes	characteristic
279	#6101	C₂³	1	1	yes	characteristic
280	#6101	C₂³	1	1	yes	characteristic
281	#6101	C₂³	1	1	yes	characteristic
282	#6101	C₂³	1	1	yes	characteristic
283	#6101	C₂³	1	1	yes	characteristic
284	#6101	C₂³	1	1	yes	characteristic
285	#6101	C₂³	1	1	yes	characteristic
286	#6101	C₂³	1	1	yes	characteristic
287	#6101	C₂³	1	1	yes	characteristic
288	#6101	C₂³	1	1	yes	characteristic
289	#6101	C₂³	1	1	yes	characteristic
290	#6101	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	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
320	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
321	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
322	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
323	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
324	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
325	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
326	C₄×Dic₁₃	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	#3555	—	13	1	no	maximal, Sylow
343	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
346	Q₈×C₁₃	—	4	1	no	—
347	Q₈×C₁₃	—	4	1	no	—
348	Q₈×C₁₃	—	4	1	no	—
349	D₄×C₁₃	—	4	1	no	—
350	C₂×C₄×C₁₃	—	4	1	no	—
351	C₂×C₄×C₁₃	—	4	1	no	—
352	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂²⋊D₁₃	—	2	2	no	—
366	C₂²⋊D₁₃	—	4	1	no	—
367	C₂×Dic₁₃	—	2	2	no	—
368	C₂×Dic₁₃	—	2	2	no	—
369	C₂×Dic₁₃	—	2	2	no	—
370	C₂×Dic₁₃	—	4	1	no	—
371	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
381	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	C₄×D₁₃	—	2	2	no	—
387	C₄×D₁₃	—	4	1	no	—
388	C₄×D₁₃	—	4	1	no	—
389	Dic₂₆	—	2	2	no	—
390	Dic₂₆	—	2	2	no	—
391	Dic₂₆	—	2	2	no	—
392	Dic₂₆	—	2	2	no	—
393	Dic₂₆	—	2	2	no	—
394	Dic₂₆	—	4	1	no	—
395	Dic₂₆	—	4	1	no	—
396	Dic₂₆	—	4	1	no	—
397	Dic₂₆	—	4	1	no	—
398	Dic₂₆	—	4	1	no	—
399	#563	—	13	1	no	—
400	#563	—	13	1	no	—
401	#563	—	13	1	no	—
402	#563	D₁₃	1	1	yes	characteristic, complemented
403	Q₈²	—	13	1	no	—
404	#557	—	13	1	no	—
405	#557	—	13	1	no	—
406	#557	—	13	1	no	—
407	#556	—	13	1	no	—
408	#556	—	13	1	no	—
409	#556	—	13	1	no	—
410	#556	—	13	1	no	—
411	#556	—	13	1	no	—
412	#554	—	13	1	no	—
413	#552	—	13	1	no	—
414	#552	—	13	1	no	—
415	#544	—	13	1	no	—
416	#544	—	13	1	no	—
417	#542	—	13	1	no	—
418	#542	—	13	1	no	—
419	#541	—	13	1	no	—
420	#541	—	13	1	no	—
421	#541	—	13	1	no	—
422	#541	—	13	1	no	—
423	#541	—	13	1	no	—
424	#541	—	13	1	no	—
425	#541	—	13	1	no	—
426	#541	—	13	1	no	—
427	#533	—	13	1	no	—
428	#533	—	13	1	no	—
429	#529	—	13	1	no	—
430	C₂²×C₁₃	—	2	1	no	—
431	C₂²×C₁₃	—	2	1	no	—
432	C₂²×C₁₃	—	2	1	no	—
433	C₂²×C₁₃	—	2	1	no	—
434	C₂²×C₁₃	—	2	1	no	—
435	C₂²×C₁₃	—	2	1	no	—
436	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
437	C₂×D₁₃	—	2	1	no	—
438	C₂×D₁₃	—	2	1	no	—
439	C₂×D₁₃	—	2	1	no	—
440	C₄×C₁₃	—	2	1	no	—
441	C₄×C₁₃	—	2	1	no	—
442	C₄×C₁₃	—	2	1	no	—
443	C₄×C₁₃	—	2	1	no	—
444	C₄×C₁₃	—	2	1	no	—
445	C₄×C₁₃	—	2	1	no	—
446	C₄×C₁₃	—	2	1	no	—
447	C₄×C₁₃	—	2	1	no	—
448	C₄×C₁₃	—	2	1	no	—
449	C₄×C₁₃	—	2	1	no	—
450	C₄×C₁₃	—	2	1	no	—
451	C₄×C₁₃	—	2	1	no	—
452	C₄×C₁₃	—	2	1	no	—
453	Dic₁₃	—	2	1	no	—
454	Dic₁₃	—	2	1	no	—
455	Dic₁₃	—	2	1	no	—
456	Dic₁₃	—	2	1	no	—
457	Dic₁₃	—	2	1	no	—
458	Dic₁₃	—	2	1	no	—
459	Dic₁₃	—	2	1	no	—
460	Dic₁₃	—	2	1	no	—
461	Dic₁₃	—	2	1	no	—
462	Dic₁₃	—	2	1	no	—
463	Dic₁₃	—	2	1	no	—
464	Dic₁₃	—	2	1	no	—
465	Dic₁₃	—	2	1	no	—
466	Dic₁₃	2₋¹⁺⁴	1	2	yes	—
467	Dic₁₃	2₋¹⁺⁴	1	2	yes	—
468	C₄⋊Q₈	—	13	1	no	—
469	C₄⋊Q₈	—	13	1	no	—
470	C₄⋊Q₈	—	13	1	no	—
471	C₄⋊Q₈	—	13	1	no	—
472	C₄⋊Q₈	—	13	1	no	—
473	C₄⋊Q₈	—	13	1	no	—
474	C₄⋊Q₈	—	13	1	no	—
475	C₄⋊Q₈	—	13	1	no	—
476	C₄⋊Q₈	—	13	1	no	—
477	C₄⋊Q₈	—	13	1	no	—
478	C₄⋊Q₈	—	13	1	no	—
479	C₄⋊Q₈	—	13	1	no	—
480	C₄⋊Q₈	—	13	1	no	—
481	C₄⋊Q₈	—	13	1	no	—
482	C₄⋊Q₈	—	13	1	no	—
483	C₄⋊Q₈	—	13	1	no	—
484	C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
485	C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
486	#126	—	13	1	no	—
487	#126	—	13	1	no	—
488	#126	—	13	1	no	—
489	#126	—	13	1	no	—
490	#126	—	13	1	no	—
491	#126	—	13	1	no	—
492	#126	—	13	1	no	—
493	#126	—	13	1	no	—
494	#126	—	13	1	no	—
495	#126	—	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	#126	C₂×D₁₃	1	1	yes	characteristic
511	#126	C₂×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic
540	#125	C₂×D₁₃	1	1	yes	characteristic
541	#124	—	13	1	no	—
542	#124	—	13	1	no	—
543	#124	—	13	1	no	—
544	#124	—	13	1	no	—
545	#124	—	13	1	no	—
546	#124	—	13	1	no	—
547	#124	C₂×D₁₃	1	1	yes	characteristic
548	#123	—	13	1	no	—
549	#123	—	13	1	no	—
550	#123	—	13	1	no	—
551	#123	—	13	1	no	—
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	—	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
577	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
578	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
579	#121	—	13	1	no	—
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×Q₈	—	13	1	no	—
592	C₄×Q₈	—	13	1	no	—
593	C₄×Q₈	—	13	1	no	—
594	C₄×Q₈	—	13	1	no	—
595	C₄×Q₈	—	13	1	no	—
596	C₄×Q₈	—	13	1	no	—
597	C₄×Q₈	—	13	1	no	—
598	C₄×Q₈	—	13	1	no	—
599	C₄×Q₈	—	13	1	no	—
600	C₄×Q₈	—	13	1	no	—
601	C₄×Q₈	—	13	1	no	—
602	C₄×Q₈	—	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	#117	—	13	1	no	—
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	C₂×C₄⋊C₄	—	13	1	no	—
621	C₂×C₄⋊C₄	—	13	1	no	—
622	C₂×C₄²	—	13	1	no	—
623	C₂×C₁₃	—	4	1	no	—
624	C₂×C₁₃	—	4	1	no	—
625	C₂×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
626	C₂×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
627	C₂×C₁₃	#585	1	1	yes	characteristic
628	D₁₃	—	4	1	no	—
629	C₂×Q₈	—	13	1	no	—
630	C₂×Q₈	—	13	1	no	—
631	C₂×Q₈	—	13	1	no	—
632	C₂×Q₈	—	13	1	no	—
633	C₂×Q₈	—	13	1	no	—
634	C₂×Q₈	—	13	1	no	—
635	C₂×Q₈	—	13	1	no	—
636	C₂×Q₈	—	13	1	no	—
637	C₂×Q₈	—	13	1	no	—
638	C₂×Q₈	—	13	1	no	—
639	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic
640	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic
641	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic
642	C₂×D₄	—	13	1	no	—
643	C₂×D₄	—	13	1	no	—
644	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
645	C₂²×C₄	—	13	1	no	—
646	C₂²×C₄	—	13	1	no	—
647	C₂²×C₄	—	13	1	no	—
648	C₂²×C₄	—	13	1	no	—
649	C₂²×C₄	—	13	1	no	—
650	C₂²×C₄	—	13	1	no	—
651	C₂²×C₄	—	13	1	no	—
652	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
653	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
654	C₄⋊C₄	—	13	1	no	—
655	C₄⋊C₄	—	13	1	no	—
656	C₄⋊C₄	—	13	1	no	—
657	C₄⋊C₄	—	13	1	no	—
658	C₄⋊C₄	—	13	1	no	—
659	C₄⋊C₄	—	13	1	no	—
660	C₄⋊C₄	—	13	1	no	—
661	C₄⋊C₄	—	13	1	no	—
662	C₄⋊C₄	—	13	1	no	—
663	C₄⋊C₄	—	13	1	no	—
664	C₄⋊C₄	—	13	1	no	—
665	C₄⋊C₄	—	13	1	no	—
666	C₄⋊C₄	—	13	1	no	—
667	C₄⋊C₄	—	13	1	no	—
668	C₄⋊C₄	—	13	1	no	—
669	C₄⋊C₄	—	13	1	no	—
670	C₄⋊C₄	—	13	1	no	—
671	C₄⋊C₄	—	13	1	no	—
672	C₄⋊C₄	—	13	1	no	—
673	C₄⋊C₄	—	13	1	no	—
674	C₄⋊C₄	—	13	1	no	—
675	C₄⋊C₄	—	13	1	no	—
676	C₄⋊C₄	—	13	1	no	—
677	C₄⋊C₄	—	13	1	no	—
678	C₄⋊C₄	—	13	1	no	—
679	C₄⋊C₄	—	13	1	no	—
680	C₄⋊C₄	—	13	1	no	—
681	C₄⋊C₄	—	13	1	no	—
682	C₄⋊C₄	—	13	1	no	—
683	C₄⋊C₄	—	13	1	no	—
684	C₄⋊C₄	—	13	1	no	—
685	C₄⋊C₄	—	13	1	no	—
686	C₄⋊C₄	—	13	1	no	—
687	C₄⋊C₄	—	13	1	no	—
688	C₄⋊C₄	—	13	1	no	—
689	C₄⋊C₄	—	13	1	no	—
690	C₄⋊C₄	—	13	1	no	—
691	C₄⋊C₄	—	13	1	no	—
692	C₄⋊C₄	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
713	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
714	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
715	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
716	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
717	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
718	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
719	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
720	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
721	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
722	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
723	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
724	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
725	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
726	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
728	C₂²⋊C₄	—	13	1	no	—
729	C₂²⋊C₄	—	13	1	no	—
730	C₂²⋊C₄	—	13	1	no	—
731	C₂²⋊C₄	—	13	1	no	—
732	C₂²⋊C₄	—	13	1	no	—
733	C₂²⋊C₄	—	13	1	no	—
734	C₂²⋊C₄	—	13	1	no	—
735	C₂²⋊C₄	—	13	1	no	—
736	C₂²⋊C₄	—	13	1	no	—
737	C₂²⋊C₄	—	13	1	no	—
738	C₂²⋊C₄	—	13	1	no	—
739	C₂²⋊C₄	—	13	1	no	—
740	C₂²⋊C₄	—	13	1	no	—
741	C₂²⋊C₄	—	13	1	no	—
742	C₂²⋊C₄	—	13	1	no	—
743	C₂²⋊C₄	—	13	1	no	—
744	C₂²⋊C₄	—	13	1	no	—
745	C₂²⋊C₄	—	13	1	no	—
746	C₂²⋊C₄	—	13	1	no	—
747	C₂²⋊C₄	—	13	1	no	—
748	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
749	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
750	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
751	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
752	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
753	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
754	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
755	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
756	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
757	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
758	C₄²	—	13	1	no	—
759	C₄²	—	13	1	no	—
760	C₄²	—	13	1	no	—
761	C₄²	—	13	1	no	—
762	C₄²	—	13	1	no	—
763	C₄²	—	13	1	no	—
764	C₄²	—	13	1	no	—
765	C₄²	—	13	1	no	—
766	C₄²	—	13	1	no	—
767	C₄²	—	13	1	no	—
768	C₄²	—	13	1	no	—
769	C₄²	—	13	1	no	—
770	C₄²	—	13	1	no	—
771	C₄²	—	13	1	no	—
772	C₄²	—	13	1	no	—
773	C₄²	—	13	1	no	—
774	C₄²	—	13	1	no	—
775	C₄²	—	13	1	no	—
776	C₄²	—	13	1	no	—
777	C₄²	—	13	1	no	—
778	C₄²	—	13	1	no	—
779	C₄²	—	13	1	no	—
780	C₄²	—	13	1	no	—
781	C₄²	C₂²×D₁₃	1	1	yes	characteristic
782	C₄²	C₂²×D₁₃	1	1	yes	characteristic
783	C₄²	C₂²×D₁₃	1	1	yes	characteristic
784	C₁₃	#3555	1	1	yes	characteristic, complemented, Sylow
785	C₂³	—	13	1	no	—
786	C₂³	C₂³×D₁₃	1	1	yes	characteristic
787	C₂³	C₂³×D₁₃	1	1	yes	characteristic
788	Q₈	—	4	1	no	—
789	Q₈	—	4	1	no	—
790	Q₈	—	4	1	no	—
791	Q₈	—	26	2	no	—
792	Q₈	—	26	2	no	—
793	Q₈	—	26	2	no	—
794	Q₈	—	26	2	no	—
795	Q₈	—	26	2	no	—
796	Q₈	—	52	1	no	—
797	Q₈	—	52	1	no	—
798	Q₈	—	52	1	no	—
799	Q₈	—	52	1	no	—
800	Q₈	—	52	1	no	—
801	D₄	—	4	1	no	—
802	D₄	—	26	2	no	—
803	D₄	—	52	1	no	—
804	C₂×C₄	—	4	1	no	—
805	C₂×C₄	—	4	1	no	—
806	C₂×C₄	—	13	1	no	—
807	C₂×C₄	—	13	1	no	—
808	C₂×C₄	—	13	1	no	—
809	C₂×C₄	—	13	1	no	—
810	C₂×C₄	—	13	1	no	—
811	C₂×C₄	—	13	1	no	—
812	C₂×C₄	—	13	1	no	—
813	C₂×C₄	—	13	1	no	—
814	C₂×C₄	—	13	1	no	—
815	C₂×C₄	—	13	1	no	—
816	C₂×C₄	—	13	1	no	—
817	C₂×C₄	—	13	1	no	—
818	C₂×C₄	—	13	1	no	—
819	C₂×C₄	—	13	1	no	—
820	C₂×C₄	—	13	1	no	—
821	C₂×C₄	—	26	2	no	—
822	C₂×C₄	—	26	2	no	—
823	C₂×C₄	—	26	2	no	—
824	C₂×C₄	—	26	2	no	—
825	C₂×C₄	—	52	1	no	—
826	C₂×C₄	—	52	1	no	—
827	C₂×C₄	—	52	1	no	—
828	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
829	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
830	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
831	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
832	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
833	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
834	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
835	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
836	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
837	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
838	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
839	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
840	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
841	C₂²	—	2	1	no	—
842	C₂²	—	2	1	no	—
843	C₂²	—	2	1	no	—
844	C₂²	—	2	1	no	—
845	C₂²	—	2	1	no	—
846	C₂²	—	2	1	no	—
847	C₂²	—	26	1	no	—
848	C₂²	—	26	1	no	—
849	C₂²	—	26	1	no	—
850	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
851	C₄	—	2	1	no	—
852	C₄	—	2	1	no	—
853	C₄	—	2	1	no	—
854	C₄	—	2	1	no	—
855	C₄	—	2	1	no	—
856	C₄	—	2	1	no	—
857	C₄	—	2	1	no	—
858	C₄	—	2	1	no	—
859	C₄	—	2	1	no	—
860	C₄	—	2	1	no	—
861	C₄	—	2	1	no	—
862	C₄	—	2	1	no	—
863	C₄	—	2	1	no	—
864	C₄	—	13	2	no	—
865	C₄	—	13	2	no	—
866	C₄	—	26	1	no	—
867	C₄	—	26	1	no	—
868	C₄	—	26	1	no	—
869	C₄	—	26	1	no	—
870	C₄	—	26	1	no	—
871	C₄	—	26	1	no	—
872	C₄	—	26	1	no	—
873	C₄	—	26	1	no	—
874	C₄	—	26	1	no	—
875	C₄	—	26	1	no	—
876	C₄	—	26	1	no	—
877	C₄	—	26	1	no	—
878	C₄	—	26	1	no	—
879	C₂	—	4	1	no	—
880	C₂	—	4	1	no	—
881	C₂	—	52	1	no	—
882	C₂	#11719650	1	1	yes	characteristic
883	C₂	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
884	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×#563	C₂
prime radical	#88193	C₂²
hypercenter	#563	D₁₃
hypocenter	C₁₃	#3555
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #563

Complements

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

N	H ≅ G/N	type
1. C₁₃×#563	C₂	semidirect
2. #11719436	C₂	semidirect
3. #11719434	C₂	semidirect
4. #11719427	C₂	semidirect
5. #11719426	C₂	semidirect
6. #11719413	C₂	semidirect
7. #11719407	C₂	semidirect
8. #11719407	C₂	semidirect
9. #11719407	C₂	semidirect
10. #11719406	C₂	semidirect
11. #11719406	C₂	semidirect
12. #11719406	C₂	semidirect
13. #11719406	C₂	semidirect
14. #11719401	C₂	semidirect
15. #11719401	C₂	semidirect
16. #11719390	C₂	semidirect
17. #11719390	C₂	semidirect
18. #11719376	C₂	semidirect
21. #11719356	C₂	semidirect
22. #11719355	C₂	semidirect
24. #11719351	C₂	semidirect
25. #11719351	C₂	semidirect
26. #11719346	C₂	semidirect
27. #11719341	C₂	semidirect
28. #11719330	C₂	semidirect
29. #11719328	C₂	semidirect
30. #11719327	C₂	semidirect
31. #11719327	C₂	semidirect
402. #563	D₁₃	semidirect
784. C₁₃	#3555	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#563	2
#11719436	2
#11719434	2
#11719427	2
#11719426	2
#11719413	2
#11719407	2
#11719406	2
#11719401	2
#11719390	2
#11719376	2
#11719374	2
#11719367	2
#11719356	2
#11719355	2
#11719354	2
#11719351	2
#11719346	2
#11719341	2
#11719330	2
#11719328	2
#11719327	2
#3555	13