Subgroups — C₁₃×#34439 #15720778

Order 3328.

2278 conjugacy classes of subgroups.

The subgroup lattice has 1006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#536	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2378	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2376	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2374	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2368	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2367	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2365	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2365	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2341	C₂	1	1	yes	maximal, characteristic
11	Q₈×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
12	Q₈×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2339	C₂	1	1	yes	maximal, characteristic
14	C₁₃×#2335	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2335	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2332	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2329	C₂	1	2	yes	maximal, complemented
18	C₁₃×#2327	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2326	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2314	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2298	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
26	C₁₃×#536	C₄	1	16	yes	complemented
27	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#123	C₂²	1	2	yes	—
32	C₂×C₁₃×#123	C₂²	1	2	yes	—
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
35	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
44	C₁₃×#391	C₂²	1	1	yes	characteristic
45	C₁₃×#391	C₂²	1	1	yes	characteristic
46	C₁₃×#391	C₂²	1	1	yes	characteristic
47	C₁₃×#391	C₂²	1	1	yes	characteristic
48	C₁₃×#391	C₂²	1	1	yes	characteristic
49	C₁₃×#391	C₂²	1	1	yes	characteristic
50	C₁₃×#391	C₂²	1	2	yes	—
51	C₁₃×#391	C₂²	1	2	yes	—
52	C₁₃×#391	C₂²	1	2	yes	—
53	C₁₃×#391	C₂²	1	2	yes	—
54	C₁₃×#390	C₂²	1	1	yes	characteristic
55	C₁₃×#390	C₂²	1	1	yes	characteristic
56	C₁₃×#390	C₂²	1	2	yes	—
57	C₁₃×#390	C₂²	1	2	yes	—
58	C₁₃×#389	C₂²	1	2	yes	—
59	C₁₃×#389	C₂²	1	2	yes	—
60	C₁₃×#389	C₂²	1	2	yes	—
61	C₁₃×#389	C₂²	1	2	yes	—
62	C₁₃×#388	C₂²	1	1	yes	characteristic
63	C₁₃×#388	C₂²	1	1	yes	characteristic
64	C₁₃×#388	C₂²	1	1	yes	characteristic
65	C₁₃×#388	C₂²	1	1	yes	characteristic
66	C₁₃×#388	C₂²	1	2	yes	—
67	C₁₃×#388	C₂²	1	2	yes	—
68	C₁₃×#388	C₂²	1	2	yes	—
69	C₁₃×#388	C₂²	1	2	yes	—
70	C₁₃×#388	C₂²	1	2	yes	—
71	C₁₃×#388	C₂²	1	2	yes	—
72	C₁₃×#388	C₂²	1	2	yes	—
73	C₁₃×#388	C₂²	1	2	yes	—
74	C₁₃×#388	C₂²	1	2	yes	—
75	C₁₃×#388	C₂²	1	2	yes	—
76	C₁₃×#387	C₂²	1	1	yes	characteristic
77	C₁₃×#387	C₂²	1	1	yes	characteristic
78	C₁₃×#387	C₂²	1	1	yes	characteristic
79	C₁₃×#387	C₂²	1	1	yes	characteristic
80	C₁₃×#387	C₂²	1	2	yes	—
81	C₁₃×#387	C₂²	1	2	yes	—
82	C₁₃×#387	C₂²	1	2	yes	—
83	C₁₃×#387	C₂²	1	2	yes	—
84	C₁₃×#387	C₂²	1	2	yes	—
85	C₁₃×#387	C₂²	1	2	yes	—
86	C₁₃×#387	C₂²	1	2	yes	—
87	C₁₃×#387	C₂²	1	2	yes	—
88	C₁₃×#387	C₂²	1	2	yes	—
89	C₁₃×#387	C₂²	1	2	yes	—
90	C₁₃×#386	C₂²	1	2	yes	—
91	C₁₃×#386	C₂²	1	2	yes	—
92	C₁₃×#385	C₂²	1	2	yes	—
93	C₁₃×#385	C₂²	1	2	yes	—
94	C₁₃×#385	C₂²	1	2	yes	—
95	C₁₃×#385	C₂²	1	2	yes	—
96	C₁₃×#384	C₂²	1	1	yes	characteristic
97	C₁₃×#382	C₂²	1	1	yes	characteristic
98	C₁₃×#381	C₂²	1	2	yes	—
99	C₁₃×#380	C₂²	1	1	yes	characteristic
100	C₁₃×#380	C₂²	1	1	yes	characteristic
101	C₁₃×#380	C₂²	1	2	yes	—
102	C₁₃×#380	C₂²	1	2	yes	—
103	C₁₃×#380	C₂²	1	2	yes	—
104	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
107	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
108	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
111	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
112	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
115	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₁₃×#376	C₂²	1	1	yes	characteristic
122	C₂×C₁₃×#95	C₂²	1	2	yes	—
123	C₄³×C₁₃	C₂²	1	1	yes	characteristic
124	C₂×C₁₃×#41	—	4	2	no	—
125	C₂×C₁₃×#41	—	4	2	no	—
126	C₂×C₁₃×#41	C₂×C₄	1	8	yes	—
127	C₂²×Q₈×C₁₃	—	4	2	no	—
128	C₂²×Q₈×C₁₃	—	4	2	no	—
129	C₂²×Q₈×C₁₃	C₂×C₄	1	8	yes	complemented
130	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
132	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
138	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
139	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
141	C₁₃×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
142	C₁₃×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
143	C₁₃×#124	C₂×C₄	1	8	yes	—
144	C₁₃×#124	C₂×C₄	1	8	yes	—
145	C₁₃×#123	C₂×C₄	1	16	yes	complemented
146	C₁₃×#123	C₂×C₄	1	16	yes	complemented
147	C₁₃×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
148	C₁₃×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
149	C₄×Q₈×C₁₃	—	4	2	no	—
150	C₄×Q₈×C₁₃	—	4	2	no	—
151	C₄×Q₈×C₁₃	—	4	2	no	—
152	C₄×Q₈×C₁₃	—	4	2	no	—
153	C₄×Q₈×C₁₃	—	4	2	no	—
154	C₄×Q₈×C₁₃	—	4	2	no	—
155	C₄×D₄×C₁₃	—	4	2	no	—
156	C₄×D₄×C₁₃	—	4	2	no	—
157	C₁₃×#117	C₂×C₄	1	8	yes	complemented
158	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
200	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
205	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
206	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
207	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
211	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
212	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₁₃×#95	C₂³	1	1	yes	characteristic
217	C₁₃×#95	C₂³	1	2	yes	—
218	C₁₃×#95	C₂³	1	1	yes	characteristic
219	C₁₃×#95	C₂³	1	1	yes	characteristic
220	C₁₃×#95	C₂³	1	2	yes	—
221	C₁₃×#95	C₂³	1	1	yes	characteristic
222	C₁₃×#95	C₂³	1	2	yes	—
223	C₁₃×#95	C₂³	1	2	yes	—
224	C₁₃×#95	C₂³	1	2	yes	—
225	C₁₃×#95	C₂³	1	1	yes	characteristic
226	C₁₃×#95	C₂³	1	2	yes	—
227	C₁₃×#95	C₂³	1	2	yes	—
228	C₁₃×#95	C₂³	1	2	yes	—
229	C₁₃×#95	C₂³	1	2	yes	—
230	C₁₃×#95	C₂³	1	1	yes	characteristic
231	C₁₃×#95	C₂³	1	2	yes	—
232	C₁₃×#95	C₂³	1	2	yes	—
233	C₁₃×#95	C₂³	1	2	yes	—
234	C₁₃×#95	C₂³	1	2	yes	—
235	C₁₃×#95	C₂³	1	2	yes	—
236	C₁₃×#95	C₂³	1	2	yes	—
237	C₁₃×#95	C₂³	1	2	yes	—
238	C₁₃×#95	C₂³	1	1	yes	characteristic
239	C₁₃×#95	C₂³	1	1	yes	characteristic
240	C₁₃×#95	C₂³	1	2	yes	—
241	C₁₃×#95	C₂³	1	1	yes	characteristic
242	C₁₃×#95	C₂³	1	1	yes	characteristic
243	C₁₃×#95	C₂³	1	2	yes	—
244	C₁₃×#95	C₂³	1	1	yes	characteristic
245	C₁₃×#95	C₂³	1	1	yes	characteristic
246	#34439	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
247	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
248	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
249	C₁₃×#41	—	4	16	no	—
250	C₂×Q₈×C₁₃	—	2	2	no	—
251	C₂×Q₈×C₁₃	—	2	2	no	—
252	C₂×Q₈×C₁₃	—	2	2	no	—
253	C₂×Q₈×C₁₃	—	2	2	no	—
254	C₂×Q₈×C₁₃	—	2	2	no	—
255	C₂×Q₈×C₁₃	—	2	2	no	—
256	C₂×Q₈×C₁₃	—	4	2	no	—
257	C₂×Q₈×C₁₃	—	4	2	no	—
258	C₂×Q₈×C₁₃	—	4	16	no	—
259	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
260	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
261	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
262	C₂×Q₈×C₁₃	C₂²×C₄	1	8	yes	—
263	C₂×D₄×C₁₃	—	2	2	no	—
264	C₂×D₄×C₁₃	—	2	2	no	—
265	C₂×D₄×C₁₃	—	4	2	no	—
266	C₂×D₄×C₁₃	—	4	2	no	—
267	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
268	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
269	C₂²×C₄×C₁₃	—	2	2	no	—
270	C₂²×C₄×C₁₃	—	2	2	no	—
271	C₂²×C₄×C₁₃	—	2	4	no	—
272	C₂²×C₄×C₁₃	—	4	2	no	—
273	C₂²×C₄×C₁₃	—	4	2	no	—
274	C₂²×C₄×C₁₃	—	4	2	no	—
275	C₂²×C₄×C₁₃	—	4	2	no	—
276	C₂²×C₄×C₁₃	—	4	2	no	—
277	C₂²×C₄×C₁₃	—	4	2	no	—
278	C₂²×C₄×C₁₃	—	4	2	no	—
279	C₂²×C₄×C₁₃	—	4	2	no	—
280	C₂²×C₄×C₁₃	—	4	2	no	—
281	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
282	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
283	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
284	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
285	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
288	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
292	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
293	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
305	C₁₃×C₄⋊C₄	—	2	2	no	—
306	C₁₃×C₄⋊C₄	—	2	2	no	—
307	C₁₃×C₄⋊C₄	—	2	2	no	—
308	C₁₃×C₄⋊C₄	—	2	2	no	—
309	C₁₃×C₄⋊C₄	—	2	2	no	—
310	C₁₃×C₄⋊C₄	—	2	2	no	—
311	C₁₃×C₄⋊C₄	—	4	1	no	—
312	C₁₃×C₄⋊C₄	—	4	1	no	—
313	C₁₃×C₄⋊C₄	—	4	2	no	—
314	C₁₃×C₄⋊C₄	—	4	2	no	—
315	C₁₃×C₄⋊C₄	—	4	2	no	—
316	C₁₃×C₄⋊C₄	—	4	2	no	—
317	C₁₃×C₄⋊C₄	—	4	2	no	—
318	C₁₃×C₄⋊C₄	—	4	2	no	—
319	C₁₃×C₄⋊C₄	—	4	2	no	—
320	C₁₃×C₄⋊C₄	—	4	2	no	—
321	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
322	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
323	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
324	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
325	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
326	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
327	C₁₃×C₂²⋊C₄	—	2	2	no	—
328	C₁₃×C₂²⋊C₄	—	2	4	no	—
329	C₁₃×C₂²⋊C₄	—	2	2	no	—
330	C₁₃×C₂²⋊C₄	—	4	2	no	—
331	C₁₃×C₂²⋊C₄	—	4	2	no	—
332	C₁₃×C₂²⋊C₄	—	4	1	no	—
333	C₁₃×C₂²⋊C₄	—	4	2	no	—
334	C₁₃×C₂²⋊C₄	—	4	1	no	—
335	C₁₃×C₂²⋊C₄	—	4	2	no	—
336	C₁₃×C₂²⋊C₄	—	4	2	no	—
337	C₁₃×C₂²⋊C₄	—	4	2	no	—
338	C₁₃×C₂²⋊C₄	—	4	2	no	—
339	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
340	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
341	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
342	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
343	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
344	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
345	C₄²×C₁₃	—	2	2	no	—
346	C₄²×C₁₃	—	2	2	no	—
347	C₄²×C₁₃	—	2	2	no	—
348	C₄²×C₁₃	—	2	2	no	—
349	C₄²×C₁₃	—	2	2	no	—
350	C₄²×C₁₃	—	2	2	no	—
351	C₄²×C₁₃	—	4	2	no	—
352	C₄²×C₁₃	—	4	2	no	—
353	C₄²×C₁₃	—	4	1	no	—
354	C₄²×C₁₃	—	4	1	no	—
355	C₄²×C₁₃	—	4	2	no	—
356	C₄²×C₁₃	—	4	2	no	—
357	C₄²×C₁₃	—	4	2	no	—
358	C₄²×C₁₃	—	4	2	no	—
359	C₄²×C₁₃	—	4	2	no	—
360	C₄²×C₁₃	—	4	2	no	—
361	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
362	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
363	C₂×#536	C₂×C₁₃	1	1	yes	characteristic
364	#2378	C₂×C₁₃	1	2	yes	complemented
365	#2376	C₂×C₁₃	1	2	yes	complemented
366	#2374	C₂×C₁₃	1	2	yes	complemented
367	#2368	C₂×C₁₃	1	2	yes	complemented
368	#2367	C₂×C₁₃	1	1	yes	characteristic, complemented
369	#2367	C₂×C₁₃	1	1	yes	characteristic, complemented
370	#2365	C₂×C₁₃	1	1	yes	characteristic, complemented
371	#2365	C₂×C₁₃	1	1	yes	characteristic, complemented
372	#2341	C₂×C₁₃	1	1	yes	characteristic
373	Q₈×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
374	Q₈×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
375	#2339	C₂×C₁₃	1	1	yes	characteristic
376	#2335	C₂×C₁₃	1	2	yes	complemented
377	#2335	C₂×C₁₃	1	2	yes	complemented
378	#2332	C₂×C₁₃	1	2	yes	complemented
379	#2329	C₂×C₁₃	1	2	yes	complemented
380	#2327	C₂×C₁₃	1	1	yes	characteristic, complemented
381	#2326	C₂×C₁₃	1	1	yes	characteristic, complemented
382	#2314	C₂×C₁₃	1	1	yes	characteristic, complemented
383	C₄×C₄⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
384	C₄×#124	C₂×C₁₃	1	1	yes	characteristic, complemented
385	#2298	C₂×C₁₃	1	1	yes	characteristic, complemented
386	C₂³×C₁₃	—	2	2	no	—
387	C₂³×C₁₃	—	2	2	no	—
388	C₂³×C₁₃	—	2	1	no	—
389	C₂³×C₁₃	—	2	1	no	—
390	C₂³×C₁₃	—	2	1	no	—
391	C₂³×C₁₃	—	2	2	no	—
392	C₂³×C₁₃	—	2	1	no	—
393	C₂³×C₁₃	—	2	2	no	—
394	C₂³×C₁₃	—	2	1	no	—
395	C₂³×C₁₃	—	2	1	no	—
396	C₂³×C₁₃	—	2	2	no	—
397	C₂³×C₁₃	—	2	2	no	—
398	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
399	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
400	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
401	Q₈×C₁₃	—	2	8	no	—
402	Q₈×C₁₃	—	2	8	no	—
403	Q₈×C₁₃	—	2	8	no	—
404	Q₈×C₁₃	—	4	8	no	—
405	D₄×C₁₃	—	2	8	no	—
406	D₄×C₁₃	—	4	8	no	—
407	C₂×C₄×C₁₃	—	2	1	no	—
408	C₂×C₄×C₁₃	—	2	1	no	—
409	C₂×C₄×C₁₃	—	2	2	no	—
410	C₂×C₄×C₁₃	—	2	2	no	—
411	C₂×C₄×C₁₃	—	2	2	no	—
412	C₂×C₄×C₁₃	—	2	2	no	—
413	C₂×C₄×C₁₃	—	2	2	no	—
414	C₂×C₄×C₁₃	—	2	2	no	—
415	C₂×C₄×C₁₃	—	2	1	no	—
416	C₂×C₄×C₁₃	—	2	1	no	—
417	C₂×C₄×C₁₃	—	2	1	no	—
418	C₂×C₄×C₁₃	—	2	1	no	—
419	C₂×C₄×C₁₃	—	2	1	no	—
420	C₂×C₄×C₁₃	—	2	1	no	—
421	C₂×C₄×C₁₃	—	2	1	no	—
422	C₂×C₄×C₁₃	—	2	1	no	—
423	C₂×C₄×C₁₃	—	2	1	no	—
424	C₂×C₄×C₁₃	—	2	1	no	—
425	C₂×C₄×C₁₃	—	2	1	no	—
426	C₂×C₄×C₁₃	—	2	1	no	—
427	C₂×C₄×C₁₃	—	2	8	no	—
428	C₂×C₄×C₁₃	—	2	1	no	—
429	C₂×C₄×C₁₃	—	2	1	no	—
430	C₂×C₄×C₁₃	—	2	1	no	—
431	C₂×C₄×C₁₃	—	2	1	no	—
432	C₂×C₄×C₁₃	—	2	1	no	—
433	C₂×C₄×C₁₃	—	2	1	no	—
434	C₂×C₄×C₁₃	—	2	2	no	—
435	C₂×C₄×C₁₃	—	2	2	no	—
436	C₂×C₄×C₁₃	—	2	2	no	—
437	C₂×C₄×C₁₃	—	2	2	no	—
438	C₂×C₄×C₁₃	—	2	1	no	—
439	C₂×C₄×C₁₃	—	2	1	no	—
440	C₂×C₄×C₁₃	—	2	1	no	—
441	C₂×C₄×C₁₃	—	2	2	no	—
442	C₂×C₄×C₁₃	—	2	1	no	—
443	C₂×C₄×C₁₃	—	2	1	no	—
444	C₂×C₄×C₁₃	—	2	2	no	—
445	C₂×C₄×C₁₃	—	2	2	no	—
446	C₂×C₄×C₁₃	—	2	1	no	—
447	C₂×C₄×C₁₃	—	2	1	no	—
448	C₂×C₄×C₁₃	—	2	1	no	—
449	C₂×C₄×C₁₃	—	2	2	no	—
450	C₂×C₄×C₁₃	—	2	2	no	—
451	C₂×C₄×C₁₃	—	2	2	no	—
452	C₂×C₄×C₁₃	—	2	1	no	—
453	C₂×C₄×C₁₃	—	2	1	no	—
454	C₂×C₄×C₁₃	—	2	2	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	1	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	4	8	no	—
459	C₂×C₄×C₁₃	—	4	8	no	—
460	C₂×C₄×C₁₃	—	8	4	no	—
461	C₂×C₄×C₁₃	—	8	4	no	—
462	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
463	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
464	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
465	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
466	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
467	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
468	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
469	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
470	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
471	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
472	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
473	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
474	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
475	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
476	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
477	#536	C₄×C₁₃	1	16	yes	complemented
478	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
479	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
480	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
481	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
482	C₂×#123	C₂²×C₁₃	1	2	yes	—
483	C₂×#123	C₂²×C₁₃	1	2	yes	—
484	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
485	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
486	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
487	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
488	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
489	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
490	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
491	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
492	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
493	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
494	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
495	#391	C₂²×C₁₃	1	1	yes	characteristic
496	#391	C₂²×C₁₃	1	1	yes	characteristic
497	#391	C₂²×C₁₃	1	1	yes	characteristic
498	#391	C₂²×C₁₃	1	1	yes	characteristic
499	#391	C₂²×C₁₃	1	1	yes	characteristic
500	#391	C₂²×C₁₃	1	2	yes	—
501	#391	C₂²×C₁₃	1	2	yes	—
502	#391	C₂²×C₁₃	1	2	yes	—
503	#391	C₂²×C₁₃	1	2	yes	—
504	#391	C₂²×C₁₃	1	1	yes	characteristic
505	#390	C₂²×C₁₃	1	1	yes	characteristic
506	#390	C₂²×C₁₃	1	2	yes	—
507	#390	C₂²×C₁₃	1	2	yes	—
508	#390	C₂²×C₁₃	1	1	yes	characteristic
509	#389	C₂²×C₁₃	1	2	yes	—
510	#389	C₂²×C₁₃	1	2	yes	—
511	#389	C₂²×C₁₃	1	2	yes	—
512	#389	C₂²×C₁₃	1	2	yes	—
513	#388	C₂²×C₁₃	1	2	yes	—
514	#388	C₂²×C₁₃	1	2	yes	—
515	#388	C₂²×C₁₃	1	2	yes	—
516	#388	C₂²×C₁₃	1	2	yes	—
517	#388	C₂²×C₁₃	1	2	yes	—
518	#388	C₂²×C₁₃	1	2	yes	—
519	#388	C₂²×C₁₃	1	2	yes	—
520	#388	C₂²×C₁₃	1	1	yes	characteristic
521	#388	C₂²×C₁₃	1	1	yes	characteristic
522	#388	C₂²×C₁₃	1	2	yes	—
523	#388	C₂²×C₁₃	1	2	yes	—
524	#388	C₂²×C₁₃	1	1	yes	characteristic
525	#388	C₂²×C₁₃	1	1	yes	characteristic
526	#388	C₂²×C₁₃	1	2	yes	—
527	#387	C₂²×C₁₃	1	2	yes	—
528	#387	C₂²×C₁₃	1	2	yes	—
529	#387	C₂²×C₁₃	1	2	yes	—
530	#387	C₂²×C₁₃	1	2	yes	—
531	#387	C₂²×C₁₃	1	2	yes	—
532	#387	C₂²×C₁₃	1	2	yes	—
533	#387	C₂²×C₁₃	1	1	yes	characteristic
534	#387	C₂²×C₁₃	1	2	yes	—
535	#387	C₂²×C₁₃	1	1	yes	characteristic
536	#387	C₂²×C₁₃	1	2	yes	—
537	#387	C₂²×C₁₃	1	2	yes	—
538	#387	C₂²×C₁₃	1	2	yes	—
539	#387	C₂²×C₁₃	1	1	yes	characteristic
540	#387	C₂²×C₁₃	1	1	yes	characteristic
541	#386	C₂²×C₁₃	1	2	yes	—
542	#386	C₂²×C₁₃	1	2	yes	—
543	#385	C₂²×C₁₃	1	2	yes	—
544	#385	C₂²×C₁₃	1	2	yes	—
545	#385	C₂²×C₁₃	1	2	yes	—
546	#385	C₂²×C₁₃	1	2	yes	—
547	#384	C₂²×C₁₃	1	1	yes	characteristic
548	#382	C₂²×C₁₃	1	1	yes	characteristic
549	#381	C₂²×C₁₃	1	2	yes	—
550	#380	C₂²×C₁₃	1	1	yes	characteristic
551	#380	C₂²×C₁₃	1	1	yes	characteristic
552	#380	C₂²×C₁₃	1	2	yes	—
553	#380	C₂²×C₁₃	1	2	yes	—
554	#380	C₂²×C₁₃	1	2	yes	—
555	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
556	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
557	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
558	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
559	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
560	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
561	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
562	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
563	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
564	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
565	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
566	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
567	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
568	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
569	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
570	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
571	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
572	#376	C₂²×C₁₃	1	1	yes	characteristic
573	C₂×#95	C₂²×C₁₃	1	2	yes	—
574	C₄³	C₂²×C₁₃	1	1	yes	characteristic
575	C₂²×C₁₃	—	2	2	no	—
576	C₂²×C₁₃	—	2	4	no	—
577	C₂²×C₁₃	—	2	2	no	—
578	C₂²×C₁₃	—	2	2	no	—
579	C₂²×C₁₃	—	2	4	no	—
580	C₂²×C₁₃	—	2	4	no	—
581	C₂²×C₁₃	—	4	2	no	—
582	C₂²×C₁₃	—	4	1	no	—
583	C₂²×C₁₃	—	4	2	no	—
584	C₂²×C₁₃	—	4	1	no	—
585	C₂²×C₁₃	—	4	2	no	—
586	C₂²×C₁₃	—	4	1	no	—
587	C₂²×C₁₃	—	4	2	no	—
588	C₂²×C₁₃	—	4	1	no	—
589	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
590	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
591	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
592	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
593	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
594	C₂²×C₁₃	#585	1	1	yes	characteristic
595	C₂²×C₁₃	#585	1	1	yes	characteristic
596	C₄×C₁₃	—	2	2	no	—
597	C₄×C₁₃	—	2	4	no	—
598	C₄×C₁₃	—	2	4	no	—
599	C₄×C₁₃	—	2	4	no	—
600	C₄×C₁₃	—	2	2	no	—
601	C₄×C₁₃	—	2	2	no	—
602	C₄×C₁₃	—	2	2	no	—
603	C₄×C₁₃	—	2	2	no	—
604	C₄×C₁₃	—	2	2	no	—
605	C₄×C₁₃	—	2	2	no	—
606	C₄×C₁₃	—	4	1	no	—
607	C₄×C₁₃	—	4	1	no	—
608	C₄×C₁₃	—	4	1	no	—
609	C₄×C₁₃	—	4	2	no	—
610	C₄×C₁₃	—	4	1	no	—
611	C₄×C₁₃	—	4	2	no	—
612	C₄×C₁₃	—	4	1	no	—
613	C₄×C₁₃	—	4	2	no	—
614	C₄×C₁₃	—	4	2	no	—
615	C₄×C₁₃	—	4	1	no	—
616	C₄×C₁₃	#518	1	4	yes	—
617	C₂×#41	—	4	2	no	—
618	C₂×#41	—	4	2	no	—
619	C₂×#41	C₂×C₄×C₁₃	1	8	yes	—
620	C₂²×Q₈	—	4	2	no	—
621	C₂²×Q₈	—	4	2	no	—
622	C₂²×Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
623	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
624	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
625	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
626	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
627	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
628	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
629	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
630	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
631	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
632	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
633	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
634	C₄⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
635	C₄⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
636	#124	C₂×C₄×C₁₃	1	8	yes	—
637	#124	C₂×C₄×C₁₃	1	8	yes	—
638	#123	C₂×C₄×C₁₃	1	16	yes	complemented
639	#123	C₂×C₄×C₁₃	1	16	yes	complemented
640	C₂²⋊Q₈	C₂×C₄×C₁₃	1	16	yes	complemented
641	C₂²⋊Q₈	C₂×C₄×C₁₃	1	16	yes	complemented
642	C₄×Q₈	—	4	2	no	—
643	C₄×Q₈	—	4	2	no	—
644	C₄×Q₈	—	4	2	no	—
645	C₄×Q₈	—	4	2	no	—
646	C₄×Q₈	—	4	2	no	—
647	C₄×Q₈	—	4	2	no	—
648	C₄×D₄	—	4	2	no	—
649	C₄×D₄	—	4	2	no	—
650	#117	C₂×C₄×C₁₃	1	8	yes	complemented
651	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
658	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
659	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
660	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
662	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
663	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
670	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
671	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
675	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
686	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
691	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
692	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
693	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
695	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
696	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
698	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
699	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
700	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
701	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
702	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
703	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
706	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
707	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
709	#95	C₂³×C₁₃	1	1	yes	characteristic
710	#95	C₂³×C₁₃	1	2	yes	—
711	#95	C₂³×C₁₃	1	2	yes	—
712	#95	C₂³×C₁₃	1	2	yes	—
713	#95	C₂³×C₁₃	1	1	yes	characteristic
714	#95	C₂³×C₁₃	1	1	yes	characteristic
715	#95	C₂³×C₁₃	1	1	yes	characteristic
716	#95	C₂³×C₁₃	1	1	yes	characteristic
717	#95	C₂³×C₁₃	1	1	yes	characteristic
718	#95	C₂³×C₁₃	1	2	yes	—
719	#95	C₂³×C₁₃	1	1	yes	characteristic
720	#95	C₂³×C₁₃	1	1	yes	characteristic
721	#95	C₂³×C₁₃	1	2	yes	—
722	#95	C₂³×C₁₃	1	2	yes	—
723	#95	C₂³×C₁₃	1	1	yes	characteristic
724	#95	C₂³×C₁₃	1	2	yes	—
725	#95	C₂³×C₁₃	1	2	yes	—
726	#95	C₂³×C₁₃	1	1	yes	characteristic
727	#95	C₂³×C₁₃	1	2	yes	—
728	#95	C₂³×C₁₃	1	2	yes	—
729	#95	C₂³×C₁₃	1	2	yes	—
730	#95	C₂³×C₁₃	1	2	yes	—
731	#95	C₂³×C₁₃	1	2	yes	—
732	#95	C₂³×C₁₃	1	2	yes	—
733	#95	C₂³×C₁₃	1	2	yes	—
734	#95	C₂³×C₁₃	1	2	yes	—
735	#95	C₂³×C₁₃	1	2	yes	—
736	#95	C₂³×C₁₃	1	2	yes	—
737	#95	C₂³×C₁₃	1	1	yes	characteristic
738	#95	C₂³×C₁₃	1	1	yes	characteristic
739	C₂×C₁₃	—	4	2	no	—
740	C₂×C₁₃	—	4	4	no	—
741	C₂×C₁₃	C₂×#518	1	1	yes	characteristic
742	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
743	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
744	C₂×C₁₃	#3552	1	1	yes	characteristic
745	C₂×C₁₃	#3554	1	1	yes	characteristic
746	C₂×C₁₃	#3561	1	1	yes	characteristic
747	C₂×C₁₃	#3562	1	1	yes	characteristic
748	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
749	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
750	#41	—	4	16	no	—
751	C₂×Q₈	—	2	2	no	—
752	C₂×Q₈	—	2	2	no	—
753	C₂×Q₈	—	2	2	no	—
754	C₂×Q₈	—	2	2	no	—
755	C₂×Q₈	—	2	2	no	—
756	C₂×Q₈	—	2	2	no	—
757	C₂×Q₈	—	4	2	no	—
758	C₂×Q₈	—	4	2	no	—
759	C₂×Q₈	—	4	16	no	—
760	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	—
761	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	—
762	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	—
763	C₂×Q₈	C₂²×C₄×C₁₃	1	8	yes	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	4	2	no	—
767	C₂×D₄	—	4	2	no	—
768	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
769	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
770	C₂²×C₄	—	2	2	no	—
771	C₂²×C₄	—	2	2	no	—
772	C₂²×C₄	—	2	4	no	—
773	C₂²×C₄	—	4	2	no	—
774	C₂²×C₄	—	4	2	no	—
775	C₂²×C₄	—	4	2	no	—
776	C₂²×C₄	—	4	2	no	—
777	C₂²×C₄	—	4	2	no	—
778	C₂²×C₄	—	4	2	no	—
779	C₂²×C₄	—	4	2	no	—
780	C₂²×C₄	—	4	2	no	—
781	C₂²×C₄	—	4	2	no	—
782	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
783	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
784	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
785	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
786	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
787	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
788	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
789	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
791	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
792	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
793	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
795	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
796	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
797	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
798	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
799	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
800	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
801	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
802	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
803	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
804	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
805	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
806	C₄⋊C₄	—	2	2	no	—
807	C₄⋊C₄	—	2	2	no	—
808	C₄⋊C₄	—	2	2	no	—
809	C₄⋊C₄	—	2	2	no	—
810	C₄⋊C₄	—	2	2	no	—
811	C₄⋊C₄	—	2	2	no	—
812	C₄⋊C₄	—	4	2	no	—
813	C₄⋊C₄	—	4	2	no	—
814	C₄⋊C₄	—	4	2	no	—
815	C₄⋊C₄	—	4	2	no	—
816	C₄⋊C₄	—	4	2	no	—
817	C₄⋊C₄	—	4	2	no	—
818	C₄⋊C₄	—	4	1	no	—
819	C₄⋊C₄	—	4	1	no	—
820	C₄⋊C₄	—	4	2	no	—
821	C₄⋊C₄	—	4	2	no	—
822	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
823	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
824	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
825	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
826	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
827	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
828	C₂²⋊C₄	—	2	4	no	—
829	C₂²⋊C₄	—	2	2	no	—
830	C₂²⋊C₄	—	2	2	no	—
831	C₂²⋊C₄	—	4	2	no	—
832	C₂²⋊C₄	—	4	2	no	—
833	C₂²⋊C₄	—	4	2	no	—
834	C₂²⋊C₄	—	4	2	no	—
835	C₂²⋊C₄	—	4	1	no	—
836	C₂²⋊C₄	—	4	2	no	—
837	C₂²⋊C₄	—	4	1	no	—
838	C₂²⋊C₄	—	4	2	no	—
839	C₂²⋊C₄	—	4	2	no	—
840	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
841	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
842	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
843	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
844	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
845	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
846	C₄²	—	2	2	no	—
847	C₄²	—	2	2	no	—
848	C₄²	—	2	2	no	—
849	C₄²	—	2	2	no	—
850	C₄²	—	2	2	no	—
851	C₄²	—	2	2	no	—
852	C₄²	—	4	2	no	—
853	C₄²	—	4	2	no	—
854	C₄²	—	4	2	no	—
855	C₄²	—	4	2	no	—
856	C₄²	—	4	2	no	—
857	C₄²	—	4	2	no	—
858	C₄²	—	4	2	no	—
859	C₄²	—	4	2	no	—
860	C₄²	—	4	1	no	—
861	C₄²	—	4	1	no	—
862	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
863	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
864	C₁₃	#34439	1	1	yes	characteristic, direct product factor, Sylow
865	C₂³	—	2	2	no	—
866	C₂³	—	2	2	no	—
867	C₂³	—	2	1	no	—
868	C₂³	—	2	1	no	—
869	C₂³	—	2	1	no	—
870	C₂³	—	2	2	no	—
871	C₂³	—	2	1	no	—
872	C₂³	—	2	2	no	—
873	C₂³	—	2	1	no	—
874	C₂³	—	2	1	no	—
875	C₂³	—	2	2	no	—
876	C₂³	—	2	2	no	—
877	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
878	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
879	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
880	Q₈	—	2	8	no	—
881	Q₈	—	2	8	no	—
882	Q₈	—	2	8	no	—
883	Q₈	—	4	8	no	—
884	D₄	—	2	8	no	—
885	D₄	—	4	8	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	2	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	2	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	1	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	1	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	8	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	1	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	2	no	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	1	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	1	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	2	no	—
930	C₂×C₄	—	2	2	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	2	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	4	8	no	—
938	C₂×C₄	—	4	8	no	—
939	C₂×C₄	—	8	4	no	—
940	C₂×C₄	—	8	4	no	—
941	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
942	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
943	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
944	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
945	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
946	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
947	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
948	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
949	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
950	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
951	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
952	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
953	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
954	C₂²	—	2	2	no	—
955	C₂²	—	2	4	no	—
956	C₂²	—	2	2	no	—
957	C₂²	—	2	2	no	—
958	C₂²	—	2	4	no	—
959	C₂²	—	2	4	no	—
960	C₂²	—	4	2	no	—
961	C₂²	—	4	1	no	—
962	C₂²	—	4	2	no	—
963	C₂²	—	4	1	no	—
964	C₂²	—	4	2	no	—
965	C₂²	—	4	1	no	—
966	C₂²	—	4	2	no	—
967	C₂²	—	4	1	no	—
968	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
969	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
970	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
971	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
972	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
973	C₂²	C₁₃×#585	1	1	yes	characteristic
974	C₂²	C₁₃×#585	1	1	yes	characteristic
975	C₄	—	2	2	no	—
976	C₄	—	2	2	no	—
977	C₄	—	2	2	no	—
978	C₄	—	2	4	no	—
979	C₄	—	2	4	no	—
980	C₄	—	2	4	no	—
981	C₄	—	2	2	no	—
982	C₄	—	2	2	no	—
983	C₄	—	2	2	no	—
984	C₄	—	2	2	no	—
985	C₄	—	4	1	no	—
986	C₄	—	4	1	no	—
987	C₄	—	4	1	no	—
988	C₄	—	4	2	no	—
989	C₄	—	4	1	no	—
990	C₄	—	4	2	no	—
991	C₄	—	4	1	no	—
992	C₄	—	4	2	no	—
993	C₄	—	4	2	no	—
994	C₄	—	4	1	no	—
995	C₄	C₁₃×#518	1	4	yes	—
996	C₂	—	4	2	no	—
997	C₂	—	4	4	no	—
998	C₂	C₂×C₁₃×#518	1	1	yes	characteristic
999	C₂	C₄×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1000	C₂	C₄×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1001	C₂	C₁₃×#3552	1	1	yes	characteristic
1002	C₂	C₁₃×#3554	1	1	yes	characteristic
1003	C₂	C₁₃×#3561	1	1	yes	characteristic
1004	C₂	C₁₃×#3562	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂²×C₁₃×#41	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2378	C₂	semidirect
3. C₁₃×#2376	C₂	semidirect
4. C₁₃×#2374	C₂	semidirect
5. C₁₃×#2368	C₂	semidirect
6. C₁₃×#2367	C₂	semidirect
7. C₁₃×#2367	C₂	semidirect
8. C₁₃×#2365	C₂	semidirect
9. C₁₃×#2365	C₂	semidirect
11. Q₈×C₁₃×C₂²⋊C₄	C₂	semidirect
12. Q₈×C₁₃×C₂²⋊C₄	C₂	semidirect
14. C₁₃×#2335	C₂	semidirect
15. C₁₃×#2335	C₂	semidirect
16. C₁₃×#2332	C₂	semidirect
17. C₁₃×#2329	C₂	semidirect
18. C₁₃×#2327	C₂	semidirect
19. C₁₃×#2326	C₂	semidirect
20. C₁₃×#2314	C₂	semidirect
21. C₄×C₁₃×C₄⋊Q₈	C₂	semidirect
22. C₄×C₁₃×#124	C₂	semidirect
23. C₁₃×#2298	C₂	semidirect
26. C₁₃×#536	C₄	semidirect
129. C₂²×Q₈×C₁₃	C₂×C₄	semidirect
141. C₁₃×C₄⋊Q₈	C₂×C₄	semidirect
142. C₁₃×C₄⋊Q₈	C₂×C₄	semidirect
145. C₁₃×#123	C₂×C₄	semidirect
146. C₁₃×#123	C₂×C₄	semidirect
147. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
148. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
157. C₁₃×#117	C₂×C₄	semidirect
246. #34439	C₁₃	direct (N × H)
364. #2378	C₂×C₁₃	semidirect
365. #2376	C₂×C₁₃	semidirect
366. #2374	C₂×C₁₃	semidirect
367. #2368	C₂×C₁₃	semidirect
368. #2367	C₂×C₁₃	semidirect
369. #2367	C₂×C₁₃	semidirect
370. #2365	C₂×C₁₃	semidirect
371. #2365	C₂×C₁₃	semidirect
373. Q₈×C₂²⋊C₄	C₂×C₁₃	semidirect
374. Q₈×C₂²⋊C₄	C₂×C₁₃	semidirect
376. #2335	C₂×C₁₃	semidirect
377. #2335	C₂×C₁₃	semidirect
378. #2332	C₂×C₁₃	semidirect
379. #2329	C₂×C₁₃	semidirect
380. #2327	C₂×C₁₃	semidirect
381. #2326	C₂×C₁₃	semidirect
382. #2314	C₂×C₁₃	semidirect
383. C₄×C₄⋊Q₈	C₂×C₁₃	semidirect
384. C₄×#124	C₂×C₁₃	semidirect
385. #2298	C₂×C₁₃	semidirect
477. #536	C₄×C₁₃	semidirect
622. C₂²×Q₈	C₂×C₄×C₁₃	semidirect
634. C₄⋊Q₈	C₂×C₄×C₁₃	semidirect
635. C₄⋊Q₈	C₂×C₄×C₁₃	semidirect
638. #123	C₂×C₄×C₁₃	semidirect
639. #123	C₂×C₄×C₁₃	semidirect
640. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
641. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
650. #117	C₂×C₄×C₁₃	semidirect
864. C₁₃	#34439	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#536	2
C₁₃×#2378	2
C₁₃×#2376	2
C₁₃×#2374	2
C₁₃×#2368	2
C₁₃×#2367	2
C₁₃×#2365	2
C₁₃×#2341	2
Q₈×C₁₃×C₂²⋊C₄	2
C₁₃×#2339	2
C₁₃×#2335	2
C₁₃×#2332	2
C₁₃×#2329	2
C₁₃×#2327	2
C₁₃×#2326	2
C₁₃×#2314	2
C₄×C₁₃×C₄⋊Q₈	2
C₄×C₁₃×#124	2
C₁₃×#2298	2
#34439	13

Subgroups — C13×#34439 #15720778

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34439 #15720778