Subgroups — C₁₃×#61552 #15747891

Order 3328.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3515	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3395	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3356	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3352	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3276	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3185	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3177	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3127	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3120	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2947	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#137	C₂²	1	2	yes	—
26	C₁₃×#557	—	2	1	no	—
27	C₁₃×#557	C₂²	1	1	yes	characteristic
28	C₁₃×#557	C₂²	1	1	yes	characteristic
29	C₁₃×#557	C₂²	1	1	yes	characteristic
30	C₁₃×#556	—	2	1	no	—
31	C₁₃×#556	C₂²	1	1	yes	characteristic
32	C₁₃×#554	C₂²	1	1	yes	characteristic
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#552	—	2	2	no	—
36	C₁₃×#552	—	2	2	no	—
37	C₁₃×#552	—	2	1	no	—
38	C₁₃×#552	C₂²	1	2	yes	—
39	C₁₃×#552	C₂²	1	2	yes	—
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
42	C₁₃×#547	C₂²	1	1	yes	characteristic
43	C₁₃×#547	C₂²	1	2	yes	—
44	C₁₃×#541	—	2	2	no	—
45	C₁₃×#541	C₂²	1	2	yes	—
46	C₁₃×#541	C₂²	1	2	yes	—
47	C₁₃×#539	—	2	2	no	—
48	C₁₃×#533	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#529	—	2	1	no	—
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×#125	—	2	1	no	—
55	C₁₃×#520	C₂²	1	2	yes	—
56	C₁₃×#519	C₂²	1	2	yes	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
59	C₁₃×#499	C₂²	1	2	yes	—
60	C₁₃×#498	C₂²	1	1	yes	characteristic
61	C₁₃×#494	C₂²	1	2	yes	—
62	C₁₃×#494	C₂²	1	1	yes	characteristic
63	C₁₃×#491	C₂²	1	2	yes	—
64	C₁₃×#491	C₂²	1	2	yes	—
65	C₁₃×#487	C₂²	1	1	yes	characteristic
66	C₁₃×#487	C₂²	1	1	yes	characteristic
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#485	C₂²	1	2	yes	—
69	C₁₃×#485	C₂²	1	2	yes	—
70	C₁₃×#484	C₂²	1	2	yes	—
71	C₁₃×#484	C₂²	1	2	yes	—
72	C₁₃×#483	C₂²	1	2	yes	—
73	C₁₃×#479	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	2	yes	—
75	C₁₃×#479	C₂²	1	2	yes	—
76	C₁₃×#478	C₂²	1	2	yes	—
77	C₁₃×#477	C₂²	1	1	yes	characteristic
78	C₁₃×#477	C₂²	1	1	yes	characteristic
79	C₁₃×#475	C₂²	1	1	yes	characteristic
80	C₁₃×#474	C₂²	1	1	yes	characteristic
81	C₁₃×#470	C₂²	1	2	yes	—
82	C₁₃×#470	C₂²	1	2	yes	—
83	C₁₃×#470	C₂²	1	2	yes	—
84	C₁₃×#470	C₂²	1	2	yes	—
85	C₁₃×#467	C₂²	1	2	yes	—
86	C₁₃×#467	C₂²	1	2	yes	—
87	C₁₃×#462	C₂²	1	1	yes	characteristic
88	C₁₃×#462	C₂²	1	2	yes	—
89	C₁₃×#462	C₂²	1	1	yes	characteristic
90	C₁₃×#462	C₂²	1	1	yes	characteristic
91	C₁₃×#462	C₂²	1	2	yes	—
92	C₁₃×#462	C₂²	1	2	yes	—
93	C₁₃×#461	C₂²	1	1	yes	characteristic
94	C₁₃×#461	C₂²	1	2	yes	—
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#452	C₂²	1	2	yes	—
97	C₁₃×#452	C₂²	1	2	yes	—
98	C₁₃×#451	C₂²	1	2	yes	—
99	C₁₃×#451	C₂²	1	2	yes	—
100	C₁₃×#451	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic
102	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
103	C₁₃×#441	C₂²	1	2	yes	—
104	C₁₃×#441	C₂²	1	2	yes	—
105	C₁₃×#441	C₂²	1	1	yes	characteristic
106	C₁₃×#441	C₂²	1	1	yes	characteristic
107	C₁₃×#441	C₂²	1	2	yes	—
108	C₁₃×#440	C₂²	1	2	yes	—
109	C₁₃×#440	C₂²	1	1	yes	characteristic
110	C₁₃×#440	C₂²	1	1	yes	characteristic
111	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
113	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
115	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
116	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×SD₁₆	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×#428	C₂²	1	1	yes	characteristic
128	C₁₃×#428	C₂²	1	2	yes	—
129	C₁₃×#419	C₂²	1	1	yes	characteristic
130	C₁₃×#417	C₂²	1	1	yes	characteristic
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	C₂³	1	2	yes	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₁₃×#137	—	2	4	no	—
140	C₁₃×#137	—	2	8	no	—
141	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
154	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	—	2	2	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×#126	—	2	2	no	—
165	C₁₃×#126	—	2	2	no	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	D₄	1	2	yes	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	—	2	2	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	—	2	2	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	—	2	1	no	—
186	C₁₃×#125	D₄	1	1	yes	characteristic
187	C₁₃×#125	C₂³	1	2	yes	—
188	C₁₃×#125	C₂³	1	2	yes	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	D₄	1	1	yes	characteristic
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	D₄	1	2	yes	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
206	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	D₄	1	1	yes	characteristic
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	—	2	2	no	—
218	C₄×Q₈×C₁₃	—	2	2	no	—
219	C₄×Q₈×C₁₃	—	2	1	no	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	—	2	1	no	—
225	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
233	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	2	yes	—
249	C₁₃×#117	—	2	1	no	—
250	C₁₃×#117	—	2	1	no	—
251	C₁₃×#117	—	2	2	no	—
252	C₁₃×#117	—	2	2	no	—
253	C₁₃×#117	—	2	2	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	C₂³	1	2	yes	—
258	C₁₃×#117	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
264	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	1	yes	characteristic
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	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	2	yes	—
290	C₁₃×#103	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	1	yes	characteristic
308	C₁₃×#97	C₂³	1	1	yes	characteristic
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	#61552	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₁₃×#41	—	2	4	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	4	2	no	—
318	C₁₃×#41	—	4	1	no	—
319	C₂×Q₈×C₁₃	—	2	1	no	—
320	C₂×Q₈×C₁₃	—	2	1	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	2	1	no	—
323	C₂×Q₈×C₁₃	—	2	4	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	4	2	no	—
326	C₂×Q₈×C₁₃	—	4	1	no	—
327	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
329	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
336	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂²×C₄×C₁₃	—	2	1	no	—
339	C₂²×C₄×C₁₃	—	2	1	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	2	no	—
342	C₂²×C₄×C₁₃	—	2	1	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
351	C₁₃×Q₁₆	—	2	2	no	—
352	C₁₃×Q₁₆	—	2	4	no	—
353	C₁₃×Q₁₆	—	2	4	no	—
354	C₁₃×Q₁₆	—	2	2	no	—
355	C₁₃×Q₁₆	—	4	2	no	—
356	C₁₃×Q₁₆	—	4	2	no	—
357	C₁₃×Q₁₆	—	4	2	no	—
358	C₁₃×SD₁₆	—	2	2	no	—
359	C₁₃×SD₁₆	—	2	4	no	—
360	C₁₃×SD₁₆	#41	1	4	yes	—
361	C₁₃×M₁₆	—	2	2	no	—
362	C₁₃×M₁₆	—	2	4	no	—
363	C₁₃×M₁₆	—	4	1	no	—
364	C₂×C₈×C₁₃	—	4	2	no	—
365	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
366	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
370	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₁₃×C₄⋊C₄	—	2	2	no	—
372	C₁₃×C₄⋊C₄	—	2	1	no	—
373	C₁₃×C₄⋊C₄	—	2	1	no	—
374	C₁₃×C₄⋊C₄	—	2	1	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	1	no	—
379	C₁₃×C₄⋊C₄	—	2	1	no	—
380	C₁₃×C₄⋊C₄	—	2	1	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	2	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	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
428	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
429	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₄²×C₁₃	—	2	1	no	—
433	C₄²×C₁₃	—	2	1	no	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	—	2	1	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	—	2	2	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₄²×C₁₃	C₂⁴	1	2	yes	—
450	#3523	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3515	C₂×C₁₃	1	1	yes	characteristic
452	#3395	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3381	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3372	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3356	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3352	C₂×C₁₃	1	2	yes	complemented
458	#3315	C₂×C₁₃	1	2	yes	complemented
459	#3312	C₂×C₁₃	1	2	yes	complemented
460	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3276	C₂×C₁₃	1	2	yes	complemented
464	#3185	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3177	C₂×C₁₃	1	2	yes	complemented
466	#3127	C₂×C₁₃	1	2	yes	complemented
467	#3120	C₂×C₁₃	1	2	yes	complemented
468	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#2969	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2947	C₂×C₁₃	1	2	yes	complemented
472	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
473	C₂³×C₁₃	—	2	1	no	—
474	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
475	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
476	Q₈×C₁₃	—	2	2	no	—
477	Q₈×C₁₃	—	2	1	no	—
478	Q₈×C₁₃	—	2	2	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	4	4	no	—
487	Q₈×C₁₃	—	4	2	no	—
488	Q₈×C₁₃	—	4	2	no	—
489	Q₈×C₁₃	—	8	1	no	—
490	Q₈×C₁₃	C₂×#41	1	2	yes	—
491	D₄×C₁₃	—	2	2	no	—
492	D₄×C₁₃	—	2	1	no	—
493	D₄×C₁₃	—	4	2	no	—
494	D₄×C₁₃	—	4	4	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	C₂×#41	1	2	yes	—
497	C₂×C₄×C₁₃	—	2	1	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	2	1	no	—
500	C₂×C₄×C₁₃	—	2	2	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	2	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	2	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	4	1	no	—
514	C₂×C₄×C₁₃	—	4	2	no	—
515	C₂×C₄×C₁₃	—	4	4	no	—
516	C₂×C₄×C₁₃	—	4	2	no	—
517	C₂×C₄×C₁₃	—	4	4	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	4	2	no	—
520	C₂×C₄×C₁₃	—	8	1	no	—
521	C₂×C₄×C₁₃	—	8	2	no	—
522	C₂×C₄×C₁₃	—	8	2	no	—
523	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
528	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
532	C₈×C₁₃	—	2	1	no	—
533	C₈×C₁₃	—	2	2	no	—
534	C₈×C₁₃	—	2	1	no	—
535	C₈×C₁₃	—	2	2	no	—
536	C₈×C₁₃	—	2	1	no	—
537	C₈×C₁₃	C₂×#41	1	2	yes	—
538	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
539	C₂×#137	C₂²×C₁₃	1	2	yes	—
540	#557	—	2	1	no	—
541	#557	C₂²×C₁₃	1	1	yes	characteristic
542	#557	C₂²×C₁₃	1	1	yes	characteristic
543	#557	C₂²×C₁₃	1	1	yes	characteristic
544	#556	—	2	1	no	—
545	#556	C₂²×C₁₃	1	1	yes	characteristic
546	#554	C₂²×C₁₃	1	1	yes	characteristic
547	#554	C₂²×C₁₃	1	1	yes	characteristic
548	#553	—	2	1	no	—
549	#552	—	2	2	no	—
550	#552	—	2	2	no	—
551	#552	—	2	1	no	—
552	#552	C₂²×C₁₃	1	2	yes	—
553	#552	C₂²×C₁₃	1	2	yes	—
554	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
555	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
556	#547	C₂²×C₁₃	1	1	yes	characteristic
557	#547	C₂²×C₁₃	1	2	yes	—
558	#541	—	2	2	no	—
559	#541	C₂²×C₁₃	1	2	yes	—
560	#541	C₂²×C₁₃	1	2	yes	—
561	#539	—	2	2	no	—
562	#533	—	2	1	no	—
563	#533	C₂²×C₁₃	1	1	yes	characteristic
564	#533	C₂²×C₁₃	1	1	yes	characteristic
565	#529	—	2	1	no	—
566	#529	—	2	1	no	—
567	#529	C₂²×C₁₃	1	1	yes	characteristic
568	C₂×#125	—	2	1	no	—
569	#520	C₂²×C₁₃	1	2	yes	—
570	#519	C₂²×C₁₃	1	2	yes	—
571	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
572	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
573	#499	C₂²×C₁₃	1	2	yes	—
574	#498	C₂²×C₁₃	1	1	yes	characteristic
575	#494	C₂²×C₁₃	1	2	yes	—
576	#494	C₂²×C₁₃	1	1	yes	characteristic
577	#491	C₂²×C₁₃	1	2	yes	—
578	#491	C₂²×C₁₃	1	2	yes	—
579	#487	C₂²×C₁₃	1	1	yes	characteristic
580	#487	C₂²×C₁₃	1	1	yes	characteristic
581	#485	C₂²×C₁₃	1	2	yes	—
582	#485	C₂²×C₁₃	1	2	yes	—
583	#485	C₂²×C₁₃	1	2	yes	—
584	#484	C₂²×C₁₃	1	2	yes	—
585	#484	C₂²×C₁₃	1	2	yes	—
586	#483	C₂²×C₁₃	1	2	yes	—
587	#479	C₂²×C₁₃	1	2	yes	—
588	#479	C₂²×C₁₃	1	2	yes	—
589	#479	C₂²×C₁₃	1	2	yes	—
590	#478	C₂²×C₁₃	1	2	yes	—
591	#477	C₂²×C₁₃	1	1	yes	characteristic
592	#477	C₂²×C₁₃	1	1	yes	characteristic
593	#475	C₂²×C₁₃	1	1	yes	characteristic
594	#474	C₂²×C₁₃	1	1	yes	characteristic
595	#470	C₂²×C₁₃	1	2	yes	—
596	#470	C₂²×C₁₃	1	2	yes	—
597	#470	C₂²×C₁₃	1	2	yes	—
598	#470	C₂²×C₁₃	1	2	yes	—
599	#467	C₂²×C₁₃	1	2	yes	—
600	#467	C₂²×C₁₃	1	2	yes	—
601	#462	C₂²×C₁₃	1	1	yes	characteristic
602	#462	C₂²×C₁₃	1	1	yes	characteristic
603	#462	C₂²×C₁₃	1	1	yes	characteristic
604	#462	C₂²×C₁₃	1	2	yes	—
605	#462	C₂²×C₁₃	1	2	yes	—
606	#462	C₂²×C₁₃	1	2	yes	—
607	#461	C₂²×C₁₃	1	1	yes	characteristic
608	#461	C₂²×C₁₃	1	2	yes	—
609	#452	C₂²×C₁₃	1	2	yes	—
610	#452	C₂²×C₁₃	1	2	yes	—
611	#452	C₂²×C₁₃	1	2	yes	—
612	#451	C₂²×C₁₃	1	2	yes	—
613	#451	C₂²×C₁₃	1	2	yes	—
614	#451	C₂²×C₁₃	1	2	yes	—
615	#446	C₂²×C₁₃	1	1	yes	characteristic
616	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
617	#441	C₂²×C₁₃	1	2	yes	—
618	#441	C₂²×C₁₃	1	2	yes	—
619	#441	C₂²×C₁₃	1	1	yes	characteristic
620	#441	C₂²×C₁₃	1	1	yes	characteristic
621	#441	C₂²×C₁₃	1	2	yes	—
622	#440	C₂²×C₁₃	1	2	yes	—
623	#440	C₂²×C₁₃	1	1	yes	characteristic
624	#440	C₂²×C₁₃	1	1	yes	characteristic
625	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
626	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
627	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
628	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
629	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
630	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
631	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
632	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
633	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
634	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
635	#436	C₂²×C₁₃	1	2	yes	—
636	#436	C₂²×C₁₃	1	1	yes	characteristic
637	#435	C₂²×C₁₃	1	2	yes	—
638	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
639	#433	C₂²×C₁₃	1	2	yes	—
640	#431	C₂²×C₁₃	1	1	yes	characteristic
641	#428	C₂²×C₁₃	1	1	yes	characteristic
642	#428	C₂²×C₁₃	1	2	yes	—
643	#419	C₂²×C₁₃	1	1	yes	characteristic
644	#417	C₂²×C₁₃	1	1	yes	characteristic
645	#416	C₂²×C₁₃	1	2	yes	—
646	C₂×#103	C₂²×C₁₃	1	2	yes	—
647	#405	C₂²×C₁₃	1	2	yes	—
648	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
649	C₂²×C₁₃	—	2	1	no	—
650	C₂²×C₁₃	—	2	2	no	—
651	C₂²×C₁₃	—	2	2	no	—
652	C₂²×C₁₃	—	2	1	no	—
653	C₂²×C₁₃	—	2	2	no	—
654	C₂²×C₁₃	—	2	1	no	—
655	C₂²×C₁₃	—	2	2	no	—
656	C₂²×C₁₃	—	4	1	no	—
657	C₂²×C₁₃	—	4	1	no	—
658	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
659	C₄×C₁₃	—	2	1	no	—
660	C₄×C₁₃	—	2	1	no	—
661	C₄×C₁₃	—	2	2	no	—
662	C₄×C₁₃	—	2	2	no	—
663	C₄×C₁₃	—	2	1	no	—
664	C₄×C₁₃	—	2	2	no	—
665	C₄×C₁₃	—	2	1	no	—
666	C₄×C₁₃	—	2	2	no	—
667	C₄×C₁₃	—	4	1	no	—
668	C₄×C₁₃	—	4	1	no	—
669	C₄×C₁₃	—	4	1	no	—
670	C₄×C₁₃	—	4	2	no	—
671	C₄×C₁₃	—	4	1	no	—
672	C₄×C₁₃	—	4	2	no	—
673	C₄×C₁₃	—	4	1	no	—
674	C₄×C₁₃	—	4	2	no	—
675	C₄×C₁₃	—	4	1	no	—
676	C₄×C₁₃	—	4	2	no	—
677	C₄×C₁₃	#578	1	2	yes	—
678	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
679	C₄×C₁₃	#585	1	1	yes	characteristic
680	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
681	C₂×#41	C₂³×C₁₃	1	2	yes	—
682	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
683	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
684	#137	—	2	4	no	—
685	#137	—	2	8	no	—
686	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
687	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
688	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
689	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
690	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
691	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
692	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
693	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
695	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
696	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
698	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
699	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
700	C₄⋊Q₈	—	2	1	no	—
701	C₄⋊Q₈	—	2	1	no	—
702	C₄⋊Q₈	—	2	2	no	—
703	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
704	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
705	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
706	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
707	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
708	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
709	#126	—	2	2	no	—
710	#126	—	2	2	no	—
711	#126	—	2	2	no	—
712	#126	—	2	2	no	—
713	#126	—	2	2	no	—
714	#126	—	2	2	no	—
715	#126	—	2	2	no	—
716	#126	D₄×C₁₃	1	2	yes	—
717	#125	—	2	2	no	—
718	#125	—	2	2	no	—
719	#125	—	2	1	no	—
720	#125	—	2	1	no	—
721	#125	—	2	1	no	—
722	#125	—	2	2	no	—
723	#125	—	2	2	no	—
724	#125	—	2	2	no	—
725	#125	—	2	2	no	—
726	#125	—	2	2	no	—
727	#125	—	2	2	no	—
728	#125	—	2	2	no	—
729	#125	—	2	1	no	—
730	#125	—	2	1	no	—
731	#125	D₄×C₁₃	1	1	yes	characteristic
732	#125	C₂³×C₁₃	1	2	yes	—
733	#125	C₂³×C₁₃	1	2	yes	—
734	#124	—	2	1	no	—
735	#124	D₄×C₁₃	1	1	yes	characteristic
736	#123	—	2	2	no	—
737	#123	—	2	2	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	#123	D₄×C₁₃	1	2	yes	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	1	no	—
744	C₂²⋊Q₈	—	2	1	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
751	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
752	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
753	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
757	#121	—	2	1	no	—
758	#121	—	2	2	no	—
759	#121	D₄×C₁₃	1	1	yes	characteristic
760	C₄×Q₈	—	2	1	no	—
761	C₄×Q₈	—	2	1	no	—
762	C₄×Q₈	—	2	2	no	—
763	C₄×Q₈	—	2	2	no	—
764	C₄×Q₈	—	2	1	no	—
765	C₄×Q₈	—	2	1	no	—
766	C₄×Q₈	—	2	1	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
771	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
772	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
776	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
777	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
778	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
779	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
780	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
790	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
791	C₄×D₄	C₂³×C₁₃	1	2	yes	—
792	C₄×D₄	C₂³×C₁₃	1	2	yes	—
793	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
794	#117	—	2	1	no	—
795	#117	—	2	1	no	—
796	#117	—	2	2	no	—
797	#117	—	2	2	no	—
798	#117	—	2	2	no	—
799	#117	—	2	2	no	—
800	#117	—	2	2	no	—
801	#117	—	2	1	no	—
802	#117	C₂³×C₁₃	1	1	yes	characteristic
803	#117	C₂³×C₁₃	1	2	yes	—
804	#117	C₂³×C₁₃	1	2	yes	—
805	C₂×C₄⋊C₄	—	2	1	no	—
806	C₂×C₄⋊C₄	—	2	2	no	—
807	C₂×C₄⋊C₄	—	2	1	no	—
808	C₂×C₄⋊C₄	—	2	2	no	—
809	C₂×C₄⋊C₄	—	2	1	no	—
810	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
812	C₂×C₄²	—	2	1	no	—
813	C₂×C₄²	—	2	1	no	—
814	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
815	#107	C₂³×C₁₃	1	1	yes	characteristic
816	#107	C₂³×C₁₃	1	2	yes	—
817	#107	C₂³×C₁₃	1	1	yes	characteristic
818	#107	C₂³×C₁₃	1	2	yes	—
819	#107	C₂³×C₁₃	1	2	yes	—
820	#106	C₂³×C₁₃	1	2	yes	—
821	#106	C₂³×C₁₃	1	1	yes	characteristic
822	#106	C₂³×C₁₃	1	2	yes	—
823	#106	C₂³×C₁₃	1	1	yes	characteristic
824	#106	C₂³×C₁₃	1	2	yes	—
825	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
828	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
829	#103	C₂³×C₁₃	1	1	yes	characteristic
830	#103	C₂³×C₁₃	1	2	yes	—
831	#103	C₂³×C₁₃	1	2	yes	—
832	#103	C₂³×C₁₃	1	2	yes	—
833	#103	C₂³×C₁₃	1	2	yes	—
834	#103	C₂³×C₁₃	1	2	yes	—
835	#103	C₂³×C₁₃	1	1	yes	characteristic
836	#103	C₂³×C₁₃	1	1	yes	characteristic
837	#103	C₂³×C₁₃	1	1	yes	characteristic
838	#103	C₂³×C₁₃	1	1	yes	characteristic
839	#103	C₂³×C₁₃	1	1	yes	characteristic
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	2	yes	—
846	#102	C₂³×C₁₃	1	1	yes	characteristic
847	#102	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	1	yes	characteristic
849	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
850	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
851	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
852	#97	C₂³×C₁₃	1	1	yes	characteristic
853	#97	C₂³×C₁₃	1	1	yes	characteristic
854	#97	C₂³×C₁₃	1	2	yes	—
855	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
856	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₄×C₈	C₂³×C₁₃	1	2	yes	—
858	C₄×C₈	C₂³×C₁₃	1	2	yes	—
859	C₂×C₁₃	—	4	1	no	—
860	C₂×C₁₃	—	4	2	no	—
861	C₂×C₁₃	—	4	2	no	—
862	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
863	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
864	C₂×C₁₃	#3586	1	1	yes	characteristic
865	#41	—	2	2	no	—
866	#41	—	2	4	no	—
867	#41	—	4	2	no	—
868	#41	—	4	1	no	—
869	C₂×Q₈	—	2	1	no	—
870	C₂×Q₈	—	2	1	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	2	1	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	2	4	no	—
875	C₂×Q₈	—	4	2	no	—
876	C₂×Q₈	—	4	1	no	—
877	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
878	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
879	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
880	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
881	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
882	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	1	no	—
885	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
886	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
887	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
898	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
900	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
901	Q₁₆	—	2	2	no	—
902	Q₁₆	—	2	4	no	—
903	Q₁₆	—	2	2	no	—
904	Q₁₆	—	2	4	no	—
905	Q₁₆	—	4	2	no	—
906	Q₁₆	—	4	2	no	—
907	Q₁₆	—	4	2	no	—
908	SD₁₆	—	2	2	no	—
909	SD₁₆	—	2	4	no	—
910	SD₁₆	C₁₃×#41	1	4	yes	—
911	M₁₆	—	2	2	no	—
912	M₁₆	—	2	4	no	—
913	M₁₆	—	4	1	no	—
914	C₂×C₈	—	4	2	no	—
915	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
916	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
917	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
919	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
920	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
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	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
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	C₂⁴×C₁₃	1	2	yes	—
961	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
981	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
982	C₄²	—	2	1	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	2	no	—
994	C₄²	—	2	2	no	—
995	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
996	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
997	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₄²	C₂⁴×C₁₃	1	2	yes	—
1000	C₁₃	#61552	1	1	yes	characteristic, direct product factor, Sylow
1001	C₂³	—	2	1	no	—
1002	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1003	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1004	Q₈	—	2	2	no	—
1005	Q₈	—	2	1	no	—
1006	Q₈	—	2	1	no	—
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	1	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	4	4	no	—
1015	Q₈	—	4	2	no	—
1016	Q₈	—	4	2	no	—
1017	Q₈	—	8	1	no	—
1018	Q₈	C₂×C₁₃×#41	1	2	yes	—
1019	D₄	—	2	2	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	4	2	no	—
1022	D₄	—	4	4	no	—
1023	D₄	—	4	2	no	—
1024	D₄	C₂×C₁₃×#41	1	2	yes	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	4	1	no	—
1042	C₂×C₄	—	4	2	no	—
1043	C₂×C₄	—	4	4	no	—
1044	C₂×C₄	—	4	2	no	—
1045	C₂×C₄	—	4	4	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	4	2	no	—
1048	C₂×C₄	—	8	1	no	—
1049	C₂×C₄	—	8	2	no	—
1050	C₂×C₄	—	8	2	no	—
1051	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1052	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1054	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1055	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1056	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1057	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1058	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1059	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1060	C₈	—	2	1	no	—
1061	C₈	—	2	2	no	—
1062	C₈	—	2	1	no	—
1063	C₈	—	2	2	no	—
1064	C₈	—	2	1	no	—
1065	C₈	C₂×C₁₃×#41	1	2	yes	—
1066	C₂²	—	2	1	no	—
1067	C₂²	—	2	2	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	2	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	2	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1076	C₄	—	2	1	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	1	no	—
1079	C₄	—	2	1	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	2	2	no	—
1082	C₄	—	2	1	no	—
1083	C₄	—	2	2	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	1	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	2	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	C₁₃×#578	1	2	yes	—
1095	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1096	C₄	C₁₃×#585	1	1	yes	characteristic
1097	C₂	—	4	1	no	—
1098	C₂	—	4	2	no	—
1099	C₂	—	4	2	no	—
1100	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1101	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1102	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3515	C₂
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×#3523	C₂	semidirect
3. C₁₃×#3395	C₂	semidirect
4. C₁₃×#3381	C₂	semidirect
5. C₁₃×#3374	C₂	semidirect
6. C₁₃×#3372	C₂	semidirect
7. C₁₃×#3356	C₂	semidirect
8. C₁₃×#3352	C₂	semidirect
9. C₁₃×#3315	C₂	semidirect
10. C₁₃×#3312	C₂	semidirect
11. C₁₃×#3302	C₂	semidirect
12. C₁₃×#3299	C₂	semidirect
13. C₁₃×#3276	C₂	semidirect
14. C₁₃×#3276	C₂	semidirect
15. C₁₃×#3185	C₂	semidirect
16. C₁₃×#3177	C₂	semidirect
17. C₁₃×#3127	C₂	semidirect
18. C₁₃×#3120	C₂	semidirect
19. C₁₃×#3107	C₂	semidirect
20. C₁₃×#3104	C₂	semidirect
21. C₁₃×#2969	C₂	semidirect
22. C₁₃×#2947	C₂	semidirect
23. C₄×C₁₃×#137	C₂	semidirect
314. #61552	C₁₃	direct (N × H)
450. #3523	C₂×C₁₃	semidirect
452. #3395	C₂×C₁₃	semidirect
453. #3381	C₂×C₁₃	semidirect
454. #3374	C₂×C₁₃	semidirect
455. #3372	C₂×C₁₃	semidirect
456. #3356	C₂×C₁₃	semidirect
457. #3352	C₂×C₁₃	semidirect
458. #3315	C₂×C₁₃	semidirect
459. #3312	C₂×C₁₃	semidirect
460. #3302	C₂×C₁₃	semidirect
461. #3299	C₂×C₁₃	semidirect
462. #3276	C₂×C₁₃	semidirect
463. #3276	C₂×C₁₃	semidirect
464. #3185	C₂×C₁₃	semidirect
465. #3177	C₂×C₁₃	semidirect
466. #3127	C₂×C₁₃	semidirect
467. #3120	C₂×C₁₃	semidirect
468. #3107	C₂×C₁₃	semidirect
469. #3104	C₂×C₁₃	semidirect
470. #2969	C₂×C₁₃	semidirect
471. #2947	C₂×C₁₃	semidirect
472. C₄×#137	C₂×C₁₃	semidirect
1000. C₁₃	#61552	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×#3523	2
C₁₃×#3515	2
C₁₃×#3395	2
C₁₃×#3381	2
C₁₃×#3374	2
C₁₃×#3372	2
C₁₃×#3356	2
C₁₃×#3352	2
C₁₃×#3315	2
C₁₃×#3312	2
C₁₃×#3302	2
C₁₃×#3299	2
C₁₃×#3276	2
C₁₃×#3185	2
C₁₃×#3177	2
C₁₃×#3127	2
C₁₃×#3120	2
C₁₃×#3107	2
C₁₃×#3104	2
C₁₃×#2969	2
C₁₃×#2947	2
C₄×C₁₃×#137	2
#61552	13

Subgroups — C13×#61552 #15747891

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61552 #15747891