Subgroups — C₁₃×#62619 #15748958

Order 3328.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3544	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3363	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3330	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3327	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3230	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3141	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3137	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#563	—	2	2	no	—
25	C₁₃×#562	—	2	2	no	—
26	C₁₃×#559	—	2	1	no	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic
28	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
29	C₁₃×#557	C₂²	1	1	yes	characteristic
30	C₁₃×#555	C₂²	1	1	yes	characteristic
31	C₁₃×#554	—	2	1	no	—
32	C₁₃×#554	C₂²	1	1	yes	characteristic
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	C₂²	1	2	yes	—
36	C₁₃×#550	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₁₃×#548	C₂²	1	2	yes	—
39	C₁₃×#547	—	2	1	no	—
40	C₁₃×#547	C₂²	1	2	yes	—
41	C₁₃×#547	C₂²	1	2	yes	—
42	C₁₃×#544	—	2	1	no	—
43	C₁₃×#544	C₂²	1	2	yes	—
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#542	C₂²	1	2	yes	—
47	C₁₃×#542	C₂²	1	2	yes	—
48	C₁₃×#540	—	2	1	no	—
49	C₁₃×#539	—	2	2	no	—
50	C₁₃×#536	—	2	2	no	—
51	C₁₃×#536	C₂²	1	2	yes	—
52	C₁₃×#533	C₂²	1	1	yes	characteristic
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
55	C₁₃×#529	C₂²	1	1	yes	characteristic
56	C₁₃×#529	C₂²	1	1	yes	characteristic
57	C₁₃×#501	C₂²	1	1	yes	characteristic
58	C₁₃×#500	C₂²	1	2	yes	—
59	C₁₃×#497	C₂²	1	1	yes	characteristic
60	C₁₃×#495	C₂²	1	2	yes	—
61	C₁₃×#491	C₂²	1	2	yes	—
62	C₁₃×#491	C₂²	1	1	yes	characteristic
63	C₁₃×#489	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#489	C₂²	1	2	yes	—
66	C₁₃×#489	C₂²	1	1	yes	characteristic
67	C₁₃×#488	C₂²	1	2	yes	—
68	C₁₃×#488	C₂²	1	2	yes	—
69	C₁₃×#487	C₂²	1	1	yes	characteristic
70	C₁₃×#487	C₂²	1	1	yes	characteristic
71	C₁₃×#487	C₂²	1	2	yes	—
72	C₁₃×#487	C₂²	1	2	yes	—
73	C₁₃×#486	C₂²	1	1	yes	characteristic
74	C₁₃×#486	C₂²	1	1	yes	characteristic
75	C₁₃×#485	C₂²	1	2	yes	—
76	C₁₃×#484	C₂²	1	2	yes	—
77	C₁₃×#484	C₂²	1	2	yes	—
78	C₁₃×#484	C₂²	1	2	yes	—
79	C₁₃×#482	C₂²	1	2	yes	—
80	C₁₃×#480	C₂²	1	2	yes	—
81	C₁₃×#479	C₂²	1	2	yes	—
82	C₁₃×#478	C₂²	1	2	yes	—
83	C₁₃×#477	C₂²	1	1	yes	characteristic
84	C₁₃×#477	C₂²	1	1	yes	characteristic
85	C₁₃×#477	C₂²	1	2	yes	—
86	C₁₃×#477	C₂²	1	1	yes	characteristic
87	C₁₃×#477	C₂²	1	1	yes	characteristic
88	C₁₃×#474	C₂²	1	2	yes	—
89	C₁₃×#470	C₂²	1	1	yes	characteristic
90	C₁₃×#470	C₂²	1	1	yes	characteristic
91	C₁₃×#468	C₂²	1	1	yes	characteristic
92	C₁₃×#468	C₂²	1	2	yes	—
93	C₁₃×#468	C₂²	1	2	yes	—
94	C₁₃×#468	C₂²	1	1	yes	characteristic
95	C₁₃×#467	C₂²	1	2	yes	—
96	C₁₃×#466	C₂²	1	2	yes	—
97	C₁₃×#464	C₂²	1	2	yes	—
98	C₁₃×#463	C₂²	1	2	yes	—
99	C₁₃×#462	C₂²	1	1	yes	characteristic
100	C₁₃×#462	C₂²	1	2	yes	—
101	C₁₃×#461	C₂²	1	1	yes	characteristic
102	C₁₃×#461	C₂²	1	2	yes	—
103	C₁₃×#460	C₂²	1	1	yes	characteristic
104	C₁₃×#459	C₂²	1	1	yes	characteristic
105	C₁₃×#452	C₂²	1	2	yes	—
106	C₁₃×#452	C₂²	1	2	yes	—
107	C₁₃×#451	C₂²	1	2	yes	—
108	C₁₃×#449	C₂²	1	2	yes	—
109	C₁₃×#449	C₂²	1	2	yes	—
110	C₁₃×#448	C₂²	1	2	yes	—
111	C₁₃×#446	C₂²	1	1	yes	characteristic
112	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
113	C₁₃×#440	C₂²	1	2	yes	—
114	C₁₃×#440	C₂²	1	2	yes	—
115	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
117	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	2	yes	—
121	C₁₃×#436	C₂²	1	2	yes	—
122	C₁₃×#436	C₂²	1	1	yes	characteristic
123	C₁₃×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
125	C₁₃×#433	C₂²	1	2	yes	—
126	C₁₃×#431	C₂²	1	1	yes	characteristic
127	C₁₃×#419	C₂²	1	2	yes	—
128	C₁₃×#417	C₂²	1	2	yes	—
129	C₁₃×#417	C₂²	1	2	yes	—
130	C₁₃×#417	C₂²	1	2	yes	—
131	C₁₃×#416	C₂²	1	2	yes	—
132	C₂×C₁₃×#103	C₂²	1	2	yes	—
133	C₁₃×#405	C₂²	1	2	yes	—
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	2	yes	—
137	C₂×C₁₃×#41	C₂³	1	2	yes	—
138	C₂²×Q₈×C₁₃	—	2	1	no	—
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
142	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×D₈	C₂³	1	2	yes	—
148	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
151	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	—	2	2	no	—
153	C₁₃×C₄⋊Q₈	—	2	2	no	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×#127	—	2	1	no	—
167	C₁₃×#127	C₂³	1	1	yes	characteristic
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	D₄	1	2	yes	—
173	C₁₃×#125	—	2	2	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	D₄	1	1	yes	characteristic
180	C₁₃×#125	C₂³	1	2	yes	—
181	C₁₃×#125	C₂³	1	1	yes	characteristic
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	D₄	1	1	yes	characteristic
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#124	C₂³	1	2	yes	—
190	C₁₃×#124	C₂³	1	1	yes	characteristic
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	1	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	D₄	1	2	yes	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	2	no	—
214	C₁₃×C₂²⋊Q₈	—	2	2	no	—
215	C₁₃×C₂²⋊Q₈	—	2	2	no	—
216	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	D₄	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#121	C₂³	1	1	yes	characteristic
231	C₁₃×#121	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₃	—	2	1	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	2	no	—
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	C₂³	1	2	yes	—
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₁₃×#117	—	2	1	no	—
255	C₁₃×#117	—	2	1	no	—
256	C₁₃×#117	—	2	2	no	—
257	C₁₃×#117	—	2	1	no	—
258	C₁₃×#117	C₂³	1	2	yes	—
259	C₁₃×#117	C₂³	1	2	yes	—
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
262	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
265	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
266	C₁₃×#107	C₂³	1	2	yes	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
277	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
278	C₁₃×#103	C₂³	1	1	yes	characteristic
279	C₁₃×#103	C₂³	1	2	yes	—
280	C₁₃×#103	C₂³	1	2	yes	—
281	C₁₃×#103	C₂³	1	2	yes	—
282	C₁₃×#103	C₂³	1	1	yes	characteristic
283	C₁₃×#103	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#102	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
303	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×#97	C₂³	1	1	yes	characteristic
306	C₁₃×#97	C₂³	1	1	yes	characteristic
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#62619	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₁₃×#41	—	4	2	no	—
314	C₁₃×#41	—	4	2	no	—
315	C₁₃×#41	—	4	2	no	—
316	C₁₃×#41	—	4	2	no	—
317	C₁₃×#41	—	8	4	no	—
318	C₂×Q₈×C₁₃	—	2	1	no	—
319	C₂×Q₈×C₁₃	—	2	2	no	—
320	C₂×Q₈×C₁₃	—	2	1	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	4	2	no	—
325	C₂×Q₈×C₁₃	—	4	2	no	—
326	C₂×Q₈×C₁₃	—	8	2	no	—
327	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
340	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
342	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
355	C₁₃×Q₁₆	—	4	2	no	—
356	C₁₃×Q₁₆	—	4	1	no	—
357	C₁₃×Q₁₆	—	4	1	no	—
358	C₁₃×SD₁₆	—	4	2	no	—
359	C₁₃×SD₁₆	—	4	2	no	—
360	C₁₃×SD₁₆	—	4	1	no	—
361	C₁₃×SD₁₆	—	4	1	no	—
362	C₁₃×D₈	—	4	2	no	—
363	C₁₃×M₁₆	—	4	1	no	—
364	C₁₃×M₁₆	—	4	2	no	—
365	C₁₃×M₁₆	—	4	1	no	—
366	C₂×C₈×C₁₃	—	4	2	no	—
367	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
369	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
373	C₁₃×C₄⋊C₄	—	2	1	no	—
374	C₁₃×C₄⋊C₄	—	2	1	no	—
375	C₁₃×C₄⋊C₄	—	2	1	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	2	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	2	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
433	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₄²×C₁₃	—	2	2	no	—
436	C₄²×C₁₃	—	2	1	no	—
437	C₄²×C₁₃	—	2	1	no	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	2	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
444	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₄²×C₁₃	C₂⁴	1	2	yes	—
446	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
447	#3544	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3372	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3363	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3333	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3330	C₂×C₁₃	1	2	yes	complemented
454	#3329	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3327	C₂×C₁₃	1	2	yes	complemented
456	#3315	C₂×C₁₃	1	2	yes	complemented
457	#3308	C₂×C₁₃	1	2	yes	complemented
458	#3305	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3243	C₂×C₁₃	1	2	yes	complemented
461	#3230	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3225	C₂×C₁₃	1	2	yes	complemented
463	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3175	C₂×C₁₃	1	2	yes	complemented
465	#3172	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3141	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3137	C₂×C₁₃	1	2	yes	complemented
468	#2969	C₂×C₁₃	1	1	yes	characteristic, complemented
469	C₂³×C₁₃	—	2	1	no	—
470	C₂³×C₁₃	—	2	2	no	—
471	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
472	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
473	Q₈×C₁₃	—	2	2	no	—
474	Q₈×C₁₃	—	2	1	no	—
475	Q₈×C₁₃	—	2	1	no	—
476	Q₈×C₁₃	—	2	2	no	—
477	Q₈×C₁₃	—	2	1	no	—
478	Q₈×C₁₃	—	2	1	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	8	1	no	—
483	Q₈×C₁₃	—	8	2	no	—
484	Q₈×C₁₃	—	8	1	no	—
485	Q₈×C₁₃	—	8	1	no	—
486	Q₈×C₁₃	—	8	2	no	—
487	Q₈×C₁₃	—	8	2	no	—
488	D₄×C₁₃	—	2	2	no	—
489	D₄×C₁₃	—	2	1	no	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	4	2	no	—
494	D₄×C₁₃	—	4	2	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	8	1	no	—
497	D₄×C₁₃	—	8	2	no	—
498	D₄×C₁₃	—	8	2	no	—
499	D₄×C₁₃	—	8	2	no	—
500	D₄×C₁₃	—	8	2	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	4	1	no	—
517	C₂×C₄×C₁₃	—	4	4	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	8	2	no	—
520	C₂×C₄×C₁₃	—	8	2	no	—
521	C₂×C₄×C₁₃	—	8	2	no	—
522	C₂×C₄×C₁₃	—	8	2	no	—
523	C₂×C₄×C₁₃	—	8	2	no	—
524	C₂×C₄×C₁₃	—	8	2	no	—
525	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
527	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
529	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
532	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
534	C₈×C₁₃	—	2	1	no	—
535	C₈×C₁₃	—	2	2	no	—
536	C₈×C₁₃	—	2	1	no	—
537	C₈×C₁₃	—	2	2	no	—
538	C₈×C₁₃	—	2	1	no	—
539	C₈×C₁₃	—	2	1	no	—
540	#563	—	2	2	no	—
541	#562	—	2	2	no	—
542	#559	—	2	1	no	—
543	#559	C₂²×C₁₃	1	1	yes	characteristic
544	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
545	#557	C₂²×C₁₃	1	1	yes	characteristic
546	#555	C₂²×C₁₃	1	1	yes	characteristic
547	#554	—	2	1	no	—
548	#554	C₂²×C₁₃	1	1	yes	characteristic
549	#554	C₂²×C₁₃	1	1	yes	characteristic
550	#552	—	2	1	no	—
551	#552	C₂²×C₁₃	1	2	yes	—
552	#550	C₂²×C₁₃	1	1	yes	characteristic
553	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
554	#548	C₂²×C₁₃	1	2	yes	—
555	#547	—	2	1	no	—
556	#547	C₂²×C₁₃	1	2	yes	—
557	#547	C₂²×C₁₃	1	2	yes	—
558	#544	—	2	1	no	—
559	#544	C₂²×C₁₃	1	2	yes	—
560	#542	—	2	1	no	—
561	#542	—	2	1	no	—
562	#542	C₂²×C₁₃	1	2	yes	—
563	#542	C₂²×C₁₃	1	2	yes	—
564	#540	—	2	1	no	—
565	#539	—	2	2	no	—
566	#536	—	2	2	no	—
567	#536	C₂²×C₁₃	1	2	yes	—
568	#533	C₂²×C₁₃	1	1	yes	characteristic
569	#532	C₂²×C₁₃	1	1	yes	characteristic
570	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
571	#529	C₂²×C₁₃	1	1	yes	characteristic
572	#529	C₂²×C₁₃	1	1	yes	characteristic
573	#501	C₂²×C₁₃	1	1	yes	characteristic
574	#500	C₂²×C₁₃	1	2	yes	—
575	#497	C₂²×C₁₃	1	1	yes	characteristic
576	#495	C₂²×C₁₃	1	2	yes	—
577	#491	C₂²×C₁₃	1	2	yes	—
578	#491	C₂²×C₁₃	1	1	yes	characteristic
579	#489	C₂²×C₁₃	1	2	yes	—
580	#489	C₂²×C₁₃	1	2	yes	—
581	#489	C₂²×C₁₃	1	2	yes	—
582	#489	C₂²×C₁₃	1	1	yes	characteristic
583	#488	C₂²×C₁₃	1	2	yes	—
584	#488	C₂²×C₁₃	1	2	yes	—
585	#487	C₂²×C₁₃	1	1	yes	characteristic
586	#487	C₂²×C₁₃	1	2	yes	—
587	#487	C₂²×C₁₃	1	1	yes	characteristic
588	#487	C₂²×C₁₃	1	2	yes	—
589	#486	C₂²×C₁₃	1	1	yes	characteristic
590	#486	C₂²×C₁₃	1	1	yes	characteristic
591	#485	C₂²×C₁₃	1	2	yes	—
592	#484	C₂²×C₁₃	1	2	yes	—
593	#484	C₂²×C₁₃	1	2	yes	—
594	#484	C₂²×C₁₃	1	2	yes	—
595	#482	C₂²×C₁₃	1	2	yes	—
596	#480	C₂²×C₁₃	1	2	yes	—
597	#479	C₂²×C₁₃	1	2	yes	—
598	#478	C₂²×C₁₃	1	2	yes	—
599	#477	C₂²×C₁₃	1	1	yes	characteristic
600	#477	C₂²×C₁₃	1	1	yes	characteristic
601	#477	C₂²×C₁₃	1	1	yes	characteristic
602	#477	C₂²×C₁₃	1	1	yes	characteristic
603	#477	C₂²×C₁₃	1	2	yes	—
604	#474	C₂²×C₁₃	1	2	yes	—
605	#470	C₂²×C₁₃	1	1	yes	characteristic
606	#470	C₂²×C₁₃	1	1	yes	characteristic
607	#468	C₂²×C₁₃	1	2	yes	—
608	#468	C₂²×C₁₃	1	1	yes	characteristic
609	#468	C₂²×C₁₃	1	2	yes	—
610	#468	C₂²×C₁₃	1	1	yes	characteristic
611	#467	C₂²×C₁₃	1	2	yes	—
612	#466	C₂²×C₁₃	1	2	yes	—
613	#464	C₂²×C₁₃	1	2	yes	—
614	#463	C₂²×C₁₃	1	2	yes	—
615	#462	C₂²×C₁₃	1	1	yes	characteristic
616	#462	C₂²×C₁₃	1	2	yes	—
617	#461	C₂²×C₁₃	1	1	yes	characteristic
618	#461	C₂²×C₁₃	1	2	yes	—
619	#460	C₂²×C₁₃	1	1	yes	characteristic
620	#459	C₂²×C₁₃	1	1	yes	characteristic
621	#452	C₂²×C₁₃	1	2	yes	—
622	#452	C₂²×C₁₃	1	2	yes	—
623	#451	C₂²×C₁₃	1	2	yes	—
624	#449	C₂²×C₁₃	1	2	yes	—
625	#449	C₂²×C₁₃	1	2	yes	—
626	#448	C₂²×C₁₃	1	2	yes	—
627	#446	C₂²×C₁₃	1	1	yes	characteristic
628	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
629	#440	C₂²×C₁₃	1	2	yes	—
630	#440	C₂²×C₁₃	1	2	yes	—
631	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
632	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
633	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
634	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
635	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
636	C₄×D₈	C₂²×C₁₃	1	2	yes	—
637	#436	C₂²×C₁₃	1	1	yes	characteristic
638	#436	C₂²×C₁₃	1	2	yes	—
639	#435	C₂²×C₁₃	1	2	yes	—
640	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
641	#433	C₂²×C₁₃	1	2	yes	—
642	#431	C₂²×C₁₃	1	1	yes	characteristic
643	#419	C₂²×C₁₃	1	2	yes	—
644	#417	C₂²×C₁₃	1	2	yes	—
645	#417	C₂²×C₁₃	1	2	yes	—
646	#417	C₂²×C₁₃	1	2	yes	—
647	#416	C₂²×C₁₃	1	2	yes	—
648	C₂×#103	C₂²×C₁₃	1	2	yes	—
649	#405	C₂²×C₁₃	1	2	yes	—
650	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
651	C₂²×C₁₃	—	2	1	no	—
652	C₂²×C₁₃	—	2	2	no	—
653	C₂²×C₁₃	—	2	2	no	—
654	C₂²×C₁₃	—	2	1	no	—
655	C₂²×C₁₃	—	2	1	no	—
656	C₂²×C₁₃	—	2	2	no	—
657	C₂²×C₁₃	—	4	1	no	—
658	C₂²×C₁₃	—	4	2	no	—
659	C₂²×C₁₃	—	4	2	no	—
660	C₂²×C₁₃	—	4	1	no	—
661	C₂²×C₁₃	—	4	1	no	—
662	C₂²×C₁₃	—	4	2	no	—
663	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
664	C₄×C₁₃	—	2	1	no	—
665	C₄×C₁₃	—	2	1	no	—
666	C₄×C₁₃	—	2	2	no	—
667	C₄×C₁₃	—	2	1	no	—
668	C₄×C₁₃	—	2	2	no	—
669	C₄×C₁₃	—	2	1	no	—
670	C₄×C₁₃	—	2	2	no	—
671	C₄×C₁₃	—	4	2	no	—
672	C₄×C₁₃	—	4	2	no	—
673	C₄×C₁₃	—	4	1	no	—
674	C₄×C₁₃	—	4	1	no	—
675	C₄×C₁₃	—	4	1	no	—
676	C₄×C₁₃	—	4	1	no	—
677	C₄×C₁₃	—	4	2	no	—
678	C₄×C₁₃	—	4	1	no	—
679	C₄×C₁₃	—	4	1	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	#578	1	2	yes	—
682	C₄×C₁₃	#585	1	1	yes	characteristic
683	C₄×C₁₃	#585	1	1	yes	characteristic
684	C₂×#41	—	2	2	no	—
685	C₂×#41	C₂³×C₁₃	1	2	yes	—
686	C₂×#41	C₂³×C₁₃	1	2	yes	—
687	C₂²×Q₈	—	2	1	no	—
688	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
689	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
690	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
691	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
692	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
693	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
695	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
696	C₂×D₈	C₂³×C₁₃	1	2	yes	—
697	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
699	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
700	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
701	C₄⋊Q₈	—	2	2	no	—
702	C₄⋊Q₈	—	2	2	no	—
703	C₄⋊Q₈	—	2	1	no	—
704	C₄⋊Q₈	—	2	1	no	—
705	C₄⋊Q₈	—	2	1	no	—
706	C₄⋊Q₈	—	2	1	no	—
707	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
708	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
710	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
711	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
714	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
715	#127	—	2	1	no	—
716	#127	C₂³×C₁₃	1	1	yes	characteristic
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	1	no	—
721	#126	D₄×C₁₃	1	2	yes	—
722	#125	—	2	2	no	—
723	#125	—	2	1	no	—
724	#125	—	2	1	no	—
725	#125	—	2	2	no	—
726	#125	—	2	2	no	—
727	#125	—	2	1	no	—
728	#125	D₄×C₁₃	1	1	yes	characteristic
729	#125	C₂³×C₁₃	1	1	yes	characteristic
730	#125	C₂³×C₁₃	1	2	yes	—
731	#124	—	2	1	no	—
732	#124	—	2	2	no	—
733	#124	—	2	2	no	—
734	#124	—	2	2	no	—
735	#124	—	2	2	no	—
736	#124	D₄×C₁₃	1	1	yes	characteristic
737	#124	C₂³×C₁₃	1	1	yes	characteristic
738	#124	C₂³×C₁₃	1	2	yes	—
739	#124	C₂³×C₁₃	1	2	yes	—
740	#123	—	2	2	no	—
741	#123	—	2	1	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	D₄×C₁₃	1	2	yes	—
752	C₂²⋊Q₈	—	2	1	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
766	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
767	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
769	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
770	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	1	no	—
776	#121	—	2	2	no	—
777	#121	D₄×C₁₃	1	1	yes	characteristic
778	#121	C₂³×C₁₃	1	1	yes	characteristic
779	#121	C₂³×C₁₃	1	2	yes	—
780	#121	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	2	1	no	—
783	C₄×Q₈	—	2	1	no	—
784	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
786	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
788	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
789	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×D₄	C₂³×C₁₃	1	2	yes	—
800	C₄×D₄	C₂³×C₁₃	1	2	yes	—
801	C₄×D₄	C₂³×C₁₃	1	2	yes	—
802	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
803	#117	—	2	1	no	—
804	#117	—	2	1	no	—
805	#117	—	2	2	no	—
806	#117	—	2	1	no	—
807	#117	C₂³×C₁₃	1	2	yes	—
808	#117	C₂³×C₁₃	1	2	yes	—
809	C₂×C₄⋊C₄	—	2	1	no	—
810	C₂×C₄⋊C₄	—	2	2	no	—
811	C₂×C₄⋊C₄	—	2	1	no	—
812	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
813	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
814	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
815	#107	C₂³×C₁₃	1	2	yes	—
816	#107	C₂³×C₁₃	1	2	yes	—
817	#107	C₂³×C₁₃	1	1	yes	characteristic
818	#107	C₂³×C₁₃	1	1	yes	characteristic
819	#107	C₂³×C₁₃	1	2	yes	—
820	#107	C₂³×C₁₃	1	2	yes	—
821	#106	C₂³×C₁₃	1	1	yes	characteristic
822	#106	C₂³×C₁₃	1	1	yes	characteristic
823	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
825	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
826	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
827	#103	C₂³×C₁₃	1	1	yes	characteristic
828	#103	C₂³×C₁₃	1	2	yes	—
829	#103	C₂³×C₁₃	1	2	yes	—
830	#103	C₂³×C₁₃	1	2	yes	—
831	#103	C₂³×C₁₃	1	1	yes	characteristic
832	#103	C₂³×C₁₃	1	2	yes	—
833	#103	C₂³×C₁₃	1	1	yes	characteristic
834	#103	C₂³×C₁₃	1	2	yes	—
835	#103	C₂³×C₁₃	1	2	yes	—
836	#103	C₂³×C₁₃	1	2	yes	—
837	#103	C₂³×C₁₃	1	2	yes	—
838	#103	C₂³×C₁₃	1	1	yes	characteristic
839	#103	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	1	yes	characteristic
842	#103	C₂³×C₁₃	1	1	yes	characteristic
843	#102	C₂³×C₁₃	1	2	yes	—
844	#102	C₂³×C₁₃	1	2	yes	—
845	#102	C₂³×C₁₃	1	2	yes	—
846	#102	C₂³×C₁₃	1	2	yes	—
847	#102	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	2	yes	—
849	#102	C₂³×C₁₃	1	1	yes	characteristic
850	#102	C₂³×C₁₃	1	1	yes	characteristic
851	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
852	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
853	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
854	#97	C₂³×C₁₃	1	1	yes	characteristic
855	#97	C₂³×C₁₃	1	1	yes	characteristic
856	#97	C₂³×C₁₃	1	2	yes	—
857	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
859	C₄×C₈	C₂³×C₁₃	1	2	yes	—
860	C₄×C₈	C₂³×C₁₃	1	2	yes	—
861	C₂×C₁₃	—	4	1	no	—
862	C₂×C₁₃	—	4	2	no	—
863	C₂×C₁₃	—	8	1	no	—
864	C₂×C₁₃	—	8	2	no	—
865	C₂×C₁₃	#3500	1	1	yes	characteristic
866	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
867	C₂×C₁₃	#3585	1	1	yes	characteristic
868	#41	—	4	2	no	—
869	#41	—	4	2	no	—
870	#41	—	4	2	no	—
871	#41	—	4	2	no	—
872	#41	—	8	4	no	—
873	C₂×Q₈	—	2	1	no	—
874	C₂×Q₈	—	2	2	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	2	2	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	4	2	no	—
880	C₂×Q₈	—	4	2	no	—
881	C₂×Q₈	—	8	2	no	—
882	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
883	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
884	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
885	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
886	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
895	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
896	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
897	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
907	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
908	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
910	Q₁₆	—	4	2	no	—
911	Q₁₆	—	4	1	no	—
912	Q₁₆	—	4	1	no	—
913	SD₁₆	—	4	2	no	—
914	SD₁₆	—	4	2	no	—
915	SD₁₆	—	4	1	no	—
916	SD₁₆	—	4	1	no	—
917	D₈	—	4	2	no	—
918	M₁₆	—	4	1	no	—
919	M₁₆	—	4	2	no	—
920	M₁₆	—	4	1	no	—
921	C₂×C₈	—	4	2	no	—
922	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
923	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
924	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
926	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
927	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
956	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
957	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
958	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
959	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
960	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
961	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
963	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
965	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
989	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	1	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	2	no	—
995	C₄²	—	2	2	no	—
996	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
997	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
998	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₄²	C₂⁴×C₁₃	1	2	yes	—
1001	C₁₃	#62619	1	1	yes	characteristic, direct product factor, Sylow
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1005	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1006	Q₈	—	2	2	no	—
1007	Q₈	—	2	1	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	1	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	8	2	no	—
1016	Q₈	—	8	1	no	—
1017	Q₈	—	8	1	no	—
1018	Q₈	—	8	2	no	—
1019	Q₈	—	8	2	no	—
1020	Q₈	—	8	1	no	—
1021	D₄	—	2	2	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	2	1	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	4	2	no	—
1027	D₄	—	4	2	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	8	1	no	—
1030	D₄	—	8	2	no	—
1031	D₄	—	8	2	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	4	1	no	—
1050	C₂×C₄	—	4	4	no	—
1051	C₂×C₄	—	4	2	no	—
1052	C₂×C₄	—	8	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	—	8	2	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1059	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1060	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1061	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1064	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1066	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1067	C₈	—	2	1	no	—
1068	C₈	—	2	2	no	—
1069	C₈	—	2	1	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	1	no	—
1072	C₈	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	2	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	2	no	—
1077	C₂²	—	2	2	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	—	4	2	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1086	C₄	—	2	1	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	1	no	—
1089	C₄	—	2	1	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	2	no	—
1095	C₄	—	4	2	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	2	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	C₁₃×#578	1	2	yes	—
1104	C₄	C₁₃×#585	1	1	yes	characteristic
1105	C₄	C₁₃×#585	1	1	yes	characteristic
1106	C₂	—	4	1	no	—
1107	C₂	—	4	2	no	—
1108	C₂	—	8	1	no	—
1109	C₂	—	8	2	no	—
1110	C₂	C₁₃×#3500	1	1	yes	characteristic
1111	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1112	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3554	C₂	semidirect
2. C₁₃×#3544	C₂	semidirect
3. C₁₃×#3375	C₂	semidirect
4. C₁₃×#3372	C₂	semidirect
5. C₁₃×#3363	C₂	semidirect
6. C₁₃×#3361	C₂	semidirect
7. C₁₃×#3333	C₂	semidirect
8. C₁₃×#3330	C₂	semidirect
9. C₁₃×#3329	C₂	semidirect
10. C₁₃×#3327	C₂	semidirect
11. C₁₃×#3315	C₂	semidirect
12. C₁₃×#3308	C₂	semidirect
13. C₁₃×#3305	C₂	semidirect
14. C₁₃×#3299	C₂	semidirect
15. C₁₃×#3243	C₂	semidirect
16. C₁₃×#3230	C₂	semidirect
17. C₁₃×#3225	C₂	semidirect
18. C₁₃×#3212	C₂	semidirect
19. C₁₃×#3175	C₂	semidirect
20. C₁₃×#3172	C₂	semidirect
21. C₁₃×#3141	C₂	semidirect
22. C₁₃×#3137	C₂	semidirect
23. C₁₃×#2969	C₂	semidirect
312. #62619	C₁₃	direct (N × H)
446. #3554	C₂×C₁₃	semidirect
447. #3544	C₂×C₁₃	semidirect
448. #3375	C₂×C₁₃	semidirect
449. #3372	C₂×C₁₃	semidirect
450. #3363	C₂×C₁₃	semidirect
451. #3361	C₂×C₁₃	semidirect
452. #3333	C₂×C₁₃	semidirect
453. #3330	C₂×C₁₃	semidirect
454. #3329	C₂×C₁₃	semidirect
455. #3327	C₂×C₁₃	semidirect
456. #3315	C₂×C₁₃	semidirect
457. #3308	C₂×C₁₃	semidirect
458. #3305	C₂×C₁₃	semidirect
459. #3299	C₂×C₁₃	semidirect
460. #3243	C₂×C₁₃	semidirect
461. #3230	C₂×C₁₃	semidirect
462. #3225	C₂×C₁₃	semidirect
463. #3212	C₂×C₁₃	semidirect
464. #3175	C₂×C₁₃	semidirect
465. #3172	C₂×C₁₃	semidirect
466. #3141	C₂×C₁₃	semidirect
467. #3137	C₂×C₁₃	semidirect
468. #2969	C₂×C₁₃	semidirect
1001. C₁₃	#62619	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3554	2
C₁₃×#3544	2
C₁₃×#3375	2
C₁₃×#3372	2
C₁₃×#3363	2
C₁₃×#3361	2
C₁₃×#3333	2
C₁₃×#3330	2
C₁₃×#3329	2
C₁₃×#3327	2
C₁₃×#3315	2
C₁₃×#3308	2
C₁₃×#3305	2
C₁₃×#3299	2
C₁₃×#3243	2
C₁₃×#3230	2
C₁₃×#3225	2
C₁₃×#3212	2
C₁₃×#3175	2
C₁₃×#3172	2
C₁₃×#3141	2
C₁₃×#3137	2
C₁₃×#2969	2
#62619	13

Subgroups — C13×#62619 #15748958

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62619 #15748958