Subgroups — C₁₃×#34724 #15721063

Order 3328.

2540 conjugacy classes of subgroups.

The subgroup lattice has 1086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2478	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2470	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2466	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2455	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2453	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2447	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2441	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2432	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2429	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2422	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2415	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2407	C₂	1	1	yes	maximal, characteristic
15	C₁₃×#2395	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2392	C₂	1	2	yes	maximal, complemented
17	C₄×C₁₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×#123	C₂	1	2	yes	maximal, complemented
21	C₁₃×#2296	C₂	1	2	yes	maximal, complemented
22	C₁₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₁₃×#529	—	2	8	no	—
27	C₂×C₁₃×#126	C₂²	1	2	yes	—
28	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#123	C₂²	1	2	yes	—
31	C₂×C₁₃×#123	C₂²	1	2	yes	—
32	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
36	C₄×C₁₃×#41	—	2	8	no	—
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×D₄×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×C₄×D₄×C₁₃	C₂²	1	2	yes	—
44	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#117	C₂²	1	2	yes	—
49	C₂×C₁₃×#117	C₂²	1	2	yes	—
50	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×#117	C₂²	1	2	yes	—
52	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
54	C₂²×C₄²×C₁₃	C₂²	1	2	yes	—
55	C₁₃×#400	C₂²	1	2	yes	—
56	C₁₃×#399	C₂²	1	2	yes	—
57	C₁₃×#398	C₂²	1	2	yes	—
58	C₁₃×#398	C₂²	1	2	yes	—
59	C₁₃×#397	C₂²	1	2	yes	—
60	C₁₃×#397	C₂²	1	2	yes	—
61	C₁₃×#397	C₂²	1	2	yes	—
62	C₁₃×#397	C₂²	1	2	yes	—
63	C₁₃×#396	C₂²	1	2	yes	—
64	C₁₃×#396	C₂²	1	2	yes	—
65	C₁₃×#394	C₂²	1	2	yes	—
66	C₁₃×#394	C₂²	1	2	yes	—
67	C₁₃×#394	C₂²	1	2	yes	—
68	C₁₃×#394	C₂²	1	2	yes	—
69	C₁₃×#394	C₂²	1	2	yes	—
70	C₁₃×#392	C₂²	1	2	yes	—
71	C₁₃×#391	C₂²	1	1	yes	characteristic
72	C₁₃×#391	C₂²	1	1	yes	characteristic
73	C₁₃×#391	C₂²	1	1	yes	characteristic
74	C₁₃×#391	C₂²	1	1	yes	characteristic
75	C₁₃×#390	C₂²	1	1	yes	characteristic
76	C₁₃×#390	C₂²	1	1	yes	characteristic
77	C₁₃×#389	C₂²	1	1	yes	characteristic
78	C₁₃×#389	C₂²	1	1	yes	characteristic
79	C₁₃×#389	C₂²	1	2	yes	—
80	C₁₃×#389	C₂²	1	2	yes	—
81	C₁₃×#389	C₂²	1	2	yes	—
82	C₁₃×#389	C₂²	1	2	yes	—
83	C₁₃×#389	C₂²	1	1	yes	characteristic
84	C₁₃×#389	C₂²	1	1	yes	characteristic
85	C₁₃×#389	C₂²	1	2	yes	—
86	C₁₃×#389	C₂²	1	2	yes	—
87	C₁₃×#388	C₂²	1	2	yes	—
88	C₁₃×#388	C₂²	1	2	yes	—
89	C₁₃×#388	C₂²	1	2	yes	—
90	C₁₃×#388	C₂²	1	2	yes	—
91	C₁₃×#387	C₂²	1	2	yes	—
92	C₁₃×#387	C₂²	1	2	yes	—
93	C₁₃×#387	C₂²	1	2	yes	—
94	C₁₃×#387	C₂²	1	2	yes	—
95	C₁₃×#386	C₂²	1	2	yes	—
96	C₁₃×#385	C₂²	1	2	yes	—
97	C₁₃×#385	C₂²	1	2	yes	—
98	C₁₃×#385	C₂²	1	2	yes	—
99	C₁₃×#385	C₂²	1	2	yes	—
100	C₁₃×#385	C₂²	1	2	yes	—
101	C₁₃×#385	C₂²	1	2	yes	—
102	C₁₃×#385	C₂²	1	2	yes	—
103	C₁₃×#384	C₂²	1	1	yes	characteristic
104	C₁₃×#381	C₂²	1	2	yes	—
105	C₁₃×#380	C₂²	1	1	yes	characteristic
106	C₁₃×#380	C₂²	1	1	yes	characteristic
107	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
111	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
112	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
114	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
115	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
121	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
123	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
124	C₄³×C₁₃	C₂²	1	1	yes	characteristic
125	C₂×C₁₃×#41	—	2	4	no	—
126	C₂×C₁₃×#41	—	2	4	no	—
127	C₂×C₁₃×#41	—	2	4	no	—
128	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
141	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₁₃×C₄⋊Q₈	—	2	4	no	—
144	C₁₃×#126	—	2	8	no	—
145	C₁₃×#125	—	2	4	no	—
146	C₁₃×#124	—	2	4	no	—
147	C₁₃×#123	—	2	8	no	—
148	C₁₃×#123	—	2	8	no	—
149	C₁₃×C₂²⋊Q₈	—	2	4	no	—
150	C₁₃×C₂²⋊Q₈	—	2	4	no	—
151	C₁₃×C₂²⋊Q₈	—	2	4	no	—
152	C₁₃×#121	—	2	4	no	—
153	C₄×Q₈×C₁₃	—	2	4	no	—
154	C₄×Q₈×C₁₃	—	2	4	no	—
155	C₄×Q₈×C₁₃	—	2	4	no	—
156	C₄×D₄×C₁₃	—	2	4	no	—
157	C₄×D₄×C₁₃	—	2	8	no	—
158	C₄×D₄×C₁₃	—	2	8	no	—
159	C₄×D₄×C₁₃	—	2	4	no	—
160	C₄×D₄×C₁₃	—	2	8	no	—
161	C₄×D₄×C₁₃	—	2	4	no	—
162	C₄×D₄×C₁₃	—	2	4	no	—
163	C₄×D₄×C₁₃	D₄	1	8	yes	complemented
164	C₁₃×#117	—	2	8	no	—
165	C₁₃×#117	—	2	4	no	—
166	C₁₃×#117	—	2	8	no	—
167	C₁₃×#117	—	2	8	no	—
168	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
179	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
187	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	—	2	8	no	—
214	C₂×C₄²×C₁₃	—	2	4	no	—
215	C₂×C₄²×C₁₃	—	2	4	no	—
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
224	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
225	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
227	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
230	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₁₃×#95	C₂³	1	1	yes	characteristic
235	C₁₃×#95	C₂³	1	1	yes	characteristic
236	C₁₃×#95	C₂³	1	1	yes	characteristic
237	C₁₃×#95	C₂³	1	1	yes	characteristic
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	2	yes	—
242	C₁₃×#95	C₂³	1	2	yes	—
243	C₁₃×#95	C₂³	1	2	yes	—
244	C₁₃×#95	C₂³	1	2	yes	—
245	C₁₃×#95	C₂³	1	2	yes	—
246	C₁₃×#95	C₂³	1	2	yes	—
247	C₁₃×#95	C₂³	1	2	yes	—
248	C₁₃×#95	C₂³	1	2	yes	—
249	C₁₃×#95	C₂³	1	2	yes	—
250	C₁₃×#95	C₂³	1	2	yes	—
251	C₁₃×#95	C₂³	1	2	yes	—
252	C₁₃×#95	C₂³	1	2	yes	—
253	C₁₃×#95	C₂³	1	2	yes	—
254	C₁₃×#95	C₂³	1	2	yes	—
255	#34724	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
256	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
257	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
258	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
259	C₁₃×#41	—	2	32	no	—
260	C₂×Q₈×C₁₃	—	2	2	no	—
261	C₂×Q₈×C₁₃	—	2	2	no	—
262	C₂×Q₈×C₁₃	—	2	2	no	—
263	C₂×Q₈×C₁₃	—	2	2	no	—
264	C₂×Q₈×C₁₃	—	2	2	no	—
265	C₂×Q₈×C₁₃	#41	1	4	yes	—
266	C₂×D₄×C₁₃	—	2	4	no	—
267	C₂×D₄×C₁₃	—	2	2	no	—
268	C₂×D₄×C₁₃	—	2	2	no	—
269	C₂×D₄×C₁₃	—	2	4	no	—
270	C₂×D₄×C₁₃	—	2	4	no	—
271	C₂×D₄×C₁₃	—	2	4	no	—
272	C₂×D₄×C₁₃	—	2	2	no	—
273	C₂×D₄×C₁₃	—	2	4	no	—
274	C₂×D₄×C₁₃	—	2	2	no	—
275	C₂×D₄×C₁₃	—	2	2	no	—
276	C₂×D₄×C₁₃	—	4	2	no	—
277	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
278	C₂²×C₄×C₁₃	—	2	4	no	—
279	C₂²×C₄×C₁₃	—	2	2	no	—
280	C₂²×C₄×C₁₃	—	2	4	no	—
281	C₂²×C₄×C₁₃	—	2	4	no	—
282	C₂²×C₄×C₁₃	—	2	4	no	—
283	C₂²×C₄×C₁₃	—	2	2	no	—
284	C₂²×C₄×C₁₃	—	2	4	no	—
285	C₂²×C₄×C₁₃	—	2	4	no	—
286	C₂²×C₄×C₁₃	—	2	2	no	—
287	C₂²×C₄×C₁₃	—	2	2	no	—
288	C₂²×C₄×C₁₃	—	2	2	no	—
289	C₂²×C₄×C₁₃	—	2	2	no	—
290	C₂²×C₄×C₁₃	—	2	2	no	—
291	C₂²×C₄×C₁₃	—	2	2	no	—
292	C₂²×C₄×C₁₃	—	2	2	no	—
293	C₂²×C₄×C₁₃	—	2	2	no	—
294	C₂²×C₄×C₁₃	—	2	2	no	—
295	C₂²×C₄×C₁₃	—	2	2	no	—
296	C₂²×C₄×C₁₃	—	2	2	no	—
297	C₂²×C₄×C₁₃	—	2	4	no	—
298	C₂²×C₄×C₁₃	—	2	2	no	—
299	C₂²×C₄×C₁₃	—	2	2	no	—
300	C₂²×C₄×C₁₃	—	4	1	no	—
301	C₂²×C₄×C₁₃	—	4	1	no	—
302	C₂²×C₄×C₁₃	—	4	2	no	—
303	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
304	C₂²×C₄×C₁₃	#41	1	4	yes	—
305	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
314	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
315	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
325	C₁₃×C₄⋊C₄	—	2	4	no	—
326	C₁₃×C₄⋊C₄	—	2	4	no	—
327	C₁₃×C₄⋊C₄	—	2	2	no	—
328	C₁₃×C₄⋊C₄	—	2	4	no	—
329	C₁₃×C₄⋊C₄	—	2	4	no	—
330	C₁₃×C₄⋊C₄	—	2	4	no	—
331	C₁₃×C₄⋊C₄	—	2	2	no	—
332	C₁₃×C₄⋊C₄	—	2	4	no	—
333	C₁₃×C₄⋊C₄	—	2	4	no	—
334	C₁₃×C₄⋊C₄	—	2	4	no	—
335	C₁₃×C₄⋊C₄	—	2	2	no	—
336	C₁₃×C₄⋊C₄	—	2	2	no	—
337	C₁₃×C₄⋊C₄	—	2	2	no	—
338	C₁₃×C₄⋊C₄	—	2	2	no	—
339	C₁₃×C₄⋊C₄	—	2	2	no	—
340	C₁₃×C₄⋊C₄	—	2	4	no	—
341	C₁₃×C₄⋊C₄	—	2	4	no	—
342	C₁₃×C₄⋊C₄	—	2	4	no	—
343	C₁₃×C₄⋊C₄	—	2	4	no	—
344	C₁₃×C₄⋊C₄	—	2	4	no	—
345	C₁₃×C₄⋊C₄	—	2	4	no	—
346	C₁₃×C₄⋊C₄	—	4	2	no	—
347	C₁₃×C₄⋊C₄	—	4	2	no	—
348	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
349	C₁₃×C₂²⋊C₄	—	2	4	no	—
350	C₁₃×C₂²⋊C₄	—	2	4	no	—
351	C₁₃×C₂²⋊C₄	—	2	4	no	—
352	C₁₃×C₂²⋊C₄	—	2	4	no	—
353	C₁₃×C₂²⋊C₄	—	2	2	no	—
354	C₁₃×C₂²⋊C₄	—	2	4	no	—
355	C₁₃×C₂²⋊C₄	—	2	4	no	—
356	C₁₃×C₂²⋊C₄	—	2	4	no	—
357	C₁₃×C₂²⋊C₄	—	2	4	no	—
358	C₁₃×C₂²⋊C₄	—	2	4	no	—
359	C₁₃×C₂²⋊C₄	—	2	4	no	—
360	C₁₃×C₂²⋊C₄	—	2	2	no	—
361	C₁₃×C₂²⋊C₄	—	2	2	no	—
362	C₁₃×C₂²⋊C₄	—	2	2	no	—
363	C₁₃×C₂²⋊C₄	—	2	2	no	—
364	C₁₃×C₂²⋊C₄	—	2	4	no	—
365	C₁₃×C₂²⋊C₄	—	2	4	no	—
366	C₁₃×C₂²⋊C₄	—	4	2	no	—
367	C₁₃×C₂²⋊C₄	—	4	2	no	—
368	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
369	C₁₃×C₂²⋊C₄	#41	1	4	yes	complemented
370	C₄²×C₁₃	—	2	2	no	—
371	C₄²×C₁₃	—	2	2	no	—
372	C₄²×C₁₃	—	2	4	no	—
373	C₄²×C₁₃	—	2	2	no	—
374	C₄²×C₁₃	—	2	4	no	—
375	C₄²×C₁₃	—	2	2	no	—
376	C₄²×C₁₃	—	2	4	no	—
377	C₄²×C₁₃	—	2	2	no	—
378	C₄²×C₁₃	—	2	2	no	—
379	C₄²×C₁₃	—	2	4	no	—
380	C₄²×C₁₃	—	2	4	no	—
381	C₄²×C₁₃	—	2	2	no	—
382	C₄²×C₁₃	—	2	2	no	—
383	C₄²×C₁₃	—	2	2	no	—
384	C₄²×C₁₃	—	2	2	no	—
385	C₄²×C₁₃	—	4	1	no	—
386	C₄²×C₁₃	C₂×D₄	1	4	yes	—
387	C₄²×C₁₃	#41	1	4	yes	complemented
388	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
389	C₂×C₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
390	#2478	C₂×C₁₃	1	2	yes	complemented
391	#2470	C₂×C₁₃	1	2	yes	complemented
392	#2466	C₂×C₁₃	1	2	yes	complemented
393	#2455	C₂×C₁₃	1	2	yes	complemented
394	#2453	C₂×C₁₃	1	1	yes	characteristic, complemented
395	#2447	C₂×C₁₃	1	1	yes	characteristic, complemented
396	#2441	C₂×C₁₃	1	1	yes	characteristic, complemented
397	#2432	C₂×C₁₃	1	1	yes	characteristic, complemented
398	#2429	C₂×C₁₃	1	1	yes	characteristic, complemented
399	#2422	C₂×C₁₃	1	1	yes	characteristic, complemented
400	#2415	C₂×C₁₃	1	1	yes	characteristic, complemented
401	#2407	C₂×C₁₃	1	1	yes	characteristic
402	#2395	C₂×C₁₃	1	2	yes	complemented
403	#2392	C₂×C₁₃	1	2	yes	complemented
404	C₄×C₄⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
405	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
406	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
407	C₄×#123	C₂×C₁₃	1	2	yes	complemented
408	#2296	C₂×C₁₃	1	2	yes	complemented
409	#2293	C₂×C₁₃	1	1	yes	characteristic, complemented
410	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
411	C₂³×C₁₃	—	2	1	no	—
412	C₂³×C₁₃	—	2	1	no	—
413	C₂³×C₁₃	—	2	2	no	—
414	C₂³×C₁₃	—	2	1	no	—
415	C₂³×C₁₃	—	2	1	no	—
416	C₂³×C₁₃	—	2	1	no	—
417	C₂³×C₁₃	—	2	1	no	—
418	C₂³×C₁₃	—	2	1	no	—
419	C₂³×C₁₃	—	2	2	no	—
420	C₂³×C₁₃	—	2	2	no	—
421	C₂³×C₁₃	—	2	2	no	—
422	C₂³×C₁₃	—	2	1	no	—
423	C₂³×C₁₃	—	2	1	no	—
424	C₂³×C₁₃	—	2	2	no	—
425	C₂³×C₁₃	—	2	1	no	—
426	C₂³×C₁₃	—	2	1	no	—
427	C₂³×C₁₃	—	2	2	no	—
428	C₂³×C₁₃	—	2	1	no	—
429	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
430	C₂³×C₁₃	C₂×#41	1	2	yes	—
431	C₂³×C₁₃	C₂×#41	1	2	yes	—
432	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
433	Q₈×C₁₃	—	2	8	no	—
434	Q₈×C₁₃	—	4	4	no	—
435	D₄×C₁₃	—	2	8	no	—
436	D₄×C₁₃	—	2	16	no	—
437	D₄×C₁₃	—	2	8	no	—
438	D₄×C₁₃	—	4	8	no	—
439	C₂×C₄×C₁₃	—	2	16	no	—
440	C₂×C₄×C₁₃	—	2	1	no	—
441	C₂×C₄×C₁₃	—	2	1	no	—
442	C₂×C₄×C₁₃	—	2	2	no	—
443	C₂×C₄×C₁₃	—	2	1	no	—
444	C₂×C₄×C₁₃	—	2	1	no	—
445	C₂×C₄×C₁₃	—	2	1	no	—
446	C₂×C₄×C₁₃	—	2	1	no	—
447	C₂×C₄×C₁₃	—	2	1	no	—
448	C₂×C₄×C₁₃	—	2	2	no	—
449	C₂×C₄×C₁₃	—	2	1	no	—
450	C₂×C₄×C₁₃	—	2	2	no	—
451	C₂×C₄×C₁₃	—	2	1	no	—
452	C₂×C₄×C₁₃	—	2	2	no	—
453	C₂×C₄×C₁₃	—	2	1	no	—
454	C₂×C₄×C₁₃	—	2	1	no	—
455	C₂×C₄×C₁₃	—	2	1	no	—
456	C₂×C₄×C₁₃	—	2	8	no	—
457	C₂×C₄×C₁₃	—	2	16	no	—
458	C₂×C₄×C₁₃	—	2	1	no	—
459	C₂×C₄×C₁₃	—	2	1	no	—
460	C₂×C₄×C₁₃	—	2	1	no	—
461	C₂×C₄×C₁₃	—	2	2	no	—
462	C₂×C₄×C₁₃	—	2	1	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	2	2	no	—
465	C₂×C₄×C₁₃	—	2	1	no	—
466	C₂×C₄×C₁₃	—	2	2	no	—
467	C₂×C₄×C₁₃	—	2	2	no	—
468	C₂×C₄×C₁₃	—	2	2	no	—
469	C₂×C₄×C₁₃	—	2	2	no	—
470	C₂×C₄×C₁₃	—	2	2	no	—
471	C₂×C₄×C₁₃	—	2	1	no	—
472	C₂×C₄×C₁₃	—	2	1	no	—
473	C₂×C₄×C₁₃	—	2	1	no	—
474	C₂×C₄×C₁₃	—	2	2	no	—
475	C₂×C₄×C₁₃	—	2	1	no	—
476	C₂×C₄×C₁₃	—	2	2	no	—
477	C₂×C₄×C₁₃	—	2	1	no	—
478	C₂×C₄×C₁₃	—	2	2	no	—
479	C₂×C₄×C₁₃	—	2	2	no	—
480	C₂×C₄×C₁₃	—	2	1	no	—
481	C₂×C₄×C₁₃	—	2	1	no	—
482	C₂×C₄×C₁₃	—	2	1	no	—
483	C₂×C₄×C₁₃	—	2	1	no	—
484	C₂×C₄×C₁₃	—	2	2	no	—
485	C₂×C₄×C₁₃	—	2	2	no	—
486	C₂×C₄×C₁₃	—	2	2	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	4	4	no	—
489	C₂×C₄×C₁₃	—	4	8	no	—
490	C₂×C₄×C₁₃	—	4	4	no	—
491	C₂×C₄×C₁₃	—	4	4	no	—
492	C₂×C₄×C₁₃	—	4	4	no	—
493	C₂×C₄×C₁₃	—	4	4	no	—
494	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
496	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
497	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
498	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
499	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
500	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
501	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
502	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
503	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
504	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
505	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
506	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
507	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
508	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
509	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
510	#529	—	2	8	no	—
511	C₂×#126	C₂²×C₁₃	1	2	yes	—
512	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
513	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
514	C₂×#123	C₂²×C₁₃	1	2	yes	—
515	C₂×#123	C₂²×C₁₃	1	2	yes	—
516	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
517	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
518	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
519	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
520	C₄×#41	—	2	8	no	—
521	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
522	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
523	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
524	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
525	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
526	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
527	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
528	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
529	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
530	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
531	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
532	C₂×#117	C₂²×C₁₃	1	2	yes	—
533	C₂×#117	C₂²×C₁₃	1	2	yes	—
534	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
535	C₂×#117	C₂²×C₁₃	1	2	yes	—
536	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
537	C₂²×C₄²	C₂²×C₁₃	1	2	yes	—
538	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
539	#400	C₂²×C₁₃	1	2	yes	—
540	#399	C₂²×C₁₃	1	2	yes	—
541	#398	C₂²×C₁₃	1	2	yes	—
542	#398	C₂²×C₁₃	1	2	yes	—
543	#397	C₂²×C₁₃	1	2	yes	—
544	#397	C₂²×C₁₃	1	2	yes	—
545	#397	C₂²×C₁₃	1	2	yes	—
546	#397	C₂²×C₁₃	1	2	yes	—
547	#396	C₂²×C₁₃	1	2	yes	—
548	#396	C₂²×C₁₃	1	2	yes	—
549	#394	C₂²×C₁₃	1	2	yes	—
550	#394	C₂²×C₁₃	1	2	yes	—
551	#394	C₂²×C₁₃	1	2	yes	—
552	#394	C₂²×C₁₃	1	2	yes	—
553	#394	C₂²×C₁₃	1	2	yes	—
554	#392	C₂²×C₁₃	1	2	yes	—
555	#391	C₂²×C₁₃	1	1	yes	characteristic
556	#391	C₂²×C₁₃	1	1	yes	characteristic
557	#391	C₂²×C₁₃	1	1	yes	characteristic
558	#391	C₂²×C₁₃	1	1	yes	characteristic
559	#390	C₂²×C₁₃	1	1	yes	characteristic
560	#390	C₂²×C₁₃	1	1	yes	characteristic
561	#389	C₂²×C₁₃	1	2	yes	—
562	#389	C₂²×C₁₃	1	2	yes	—
563	#389	C₂²×C₁₃	1	1	yes	characteristic
564	#389	C₂²×C₁₃	1	2	yes	—
565	#389	C₂²×C₁₃	1	1	yes	characteristic
566	#389	C₂²×C₁₃	1	1	yes	characteristic
567	#389	C₂²×C₁₃	1	2	yes	—
568	#389	C₂²×C₁₃	1	1	yes	characteristic
569	#389	C₂²×C₁₃	1	2	yes	—
570	#389	C₂²×C₁₃	1	2	yes	—
571	#388	C₂²×C₁₃	1	2	yes	—
572	#388	C₂²×C₁₃	1	2	yes	—
573	#388	C₂²×C₁₃	1	2	yes	—
574	#388	C₂²×C₁₃	1	2	yes	—
575	#387	C₂²×C₁₃	1	2	yes	—
576	#387	C₂²×C₁₃	1	2	yes	—
577	#387	C₂²×C₁₃	1	2	yes	—
578	#387	C₂²×C₁₃	1	2	yes	—
579	#386	C₂²×C₁₃	1	2	yes	—
580	#385	C₂²×C₁₃	1	2	yes	—
581	#385	C₂²×C₁₃	1	2	yes	—
582	#385	C₂²×C₁₃	1	2	yes	—
583	#385	C₂²×C₁₃	1	2	yes	—
584	#385	C₂²×C₁₃	1	2	yes	—
585	#385	C₂²×C₁₃	1	2	yes	—
586	#385	C₂²×C₁₃	1	2	yes	—
587	#384	C₂²×C₁₃	1	1	yes	characteristic
588	#381	C₂²×C₁₃	1	2	yes	—
589	#380	C₂²×C₁₃	1	1	yes	characteristic
590	#380	C₂²×C₁₃	1	1	yes	characteristic
591	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
592	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
593	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
594	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
595	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
596	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
597	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
598	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
599	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
600	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
601	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
602	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
603	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
604	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
605	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
606	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
607	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
608	C₄³	C₂²×C₁₃	1	1	yes	characteristic
609	C₂²×C₁₃	—	2	4	no	—
610	C₂²×C₁₃	—	2	2	no	—
611	C₂²×C₁₃	—	2	2	no	—
612	C₂²×C₁₃	—	2	2	no	—
613	C₂²×C₁₃	—	2	2	no	—
614	C₂²×C₁₃	—	2	4	no	—
615	C₂²×C₁₃	—	2	2	no	—
616	C₂²×C₁₃	—	2	4	no	—
617	C₂²×C₁₃	—	2	2	no	—
618	C₂²×C₁₃	—	4	1	no	—
619	C₂²×C₁₃	—	4	2	no	—
620	C₂²×C₁₃	—	4	1	no	—
621	C₂²×C₁₃	—	4	2	no	—
622	C₂²×C₁₃	—	4	1	no	—
623	C₂²×C₁₃	—	4	1	no	—
624	C₂²×C₁₃	—	4	1	no	—
625	C₂²×C₁₃	—	4	1	no	—
626	C₂²×C₁₃	—	4	2	no	—
627	C₂²×C₁₃	—	4	1	no	—
628	C₂²×C₁₃	—	4	2	no	—
629	C₂²×C₁₃	—	4	1	no	—
630	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
631	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
632	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
633	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
634	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
635	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
636	C₂²×C₁₃	#585	1	1	yes	characteristic
637	C₄×C₁₃	—	2	2	no	—
638	C₄×C₁₃	—	2	4	no	—
639	C₄×C₁₃	—	2	2	no	—
640	C₄×C₁₃	—	2	4	no	—
641	C₄×C₁₃	—	2	2	no	—
642	C₄×C₁₃	—	2	2	no	—
643	C₄×C₁₃	—	2	2	no	—
644	C₄×C₁₃	—	2	2	no	—
645	C₄×C₁₃	—	4	1	no	—
646	C₄×C₁₃	—	4	2	no	—
647	C₄×C₁₃	—	4	2	no	—
648	C₄×C₁₃	—	4	1	no	—
649	C₄×C₁₃	—	4	1	no	—
650	C₄×C₁₃	—	4	1	no	—
651	C₄×C₁₃	—	4	2	no	—
652	C₄×C₁₃	—	4	1	no	—
653	C₄×C₁₃	—	4	2	no	—
654	C₄×C₁₃	—	4	2	no	—
655	C₄×C₁₃	#525	1	4	yes	—
656	C₄×C₁₃	#547	1	4	yes	—
657	C₂×#41	—	2	4	no	—
658	C₂×#41	—	2	4	no	—
659	C₂×#41	—	2	4	no	—
660	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
661	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
662	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
663	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
664	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
665	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
666	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
667	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
668	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
669	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
670	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
671	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
672	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
673	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
674	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
675	C₄⋊Q₈	—	2	4	no	—
676	#126	—	2	8	no	—
677	#125	—	2	4	no	—
678	#124	—	2	4	no	—
679	#123	—	2	8	no	—
680	#123	—	2	8	no	—
681	C₂²⋊Q₈	—	2	4	no	—
682	C₂²⋊Q₈	—	2	4	no	—
683	C₂²⋊Q₈	—	2	4	no	—
684	#121	—	2	4	no	—
685	C₄×Q₈	—	2	4	no	—
686	C₄×Q₈	—	2	4	no	—
687	C₄×Q₈	—	2	4	no	—
688	C₄×D₄	—	2	4	no	—
689	C₄×D₄	—	2	8	no	—
690	C₄×D₄	—	2	8	no	—
691	C₄×D₄	—	2	4	no	—
692	C₄×D₄	—	2	8	no	—
693	C₄×D₄	—	2	4	no	—
694	C₄×D₄	—	2	4	no	—
695	C₄×D₄	D₄×C₁₃	1	8	yes	complemented
696	#117	—	2	8	no	—
697	#117	—	2	4	no	—
698	#117	—	2	8	no	—
699	#117	—	2	8	no	—
700	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
702	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
703	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
705	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
707	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
708	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
713	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
716	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
717	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
718	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
719	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
720	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
721	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
722	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
723	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
724	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
728	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
732	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
734	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
735	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
736	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
737	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
738	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
745	C₂×C₄²	—	2	8	no	—
746	C₂×C₄²	—	2	4	no	—
747	C₂×C₄²	—	2	4	no	—
748	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
749	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
750	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
751	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
752	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
753	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
754	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
755	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
756	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
757	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
758	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
759	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
760	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
761	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
762	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
763	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
764	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
765	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
766	#95	C₂³×C₁₃	1	1	yes	characteristic
767	#95	C₂³×C₁₃	1	1	yes	characteristic
768	#95	C₂³×C₁₃	1	1	yes	characteristic
769	#95	C₂³×C₁₃	1	1	yes	characteristic
770	#95	C₂³×C₁₃	1	1	yes	characteristic
771	#95	C₂³×C₁₃	1	1	yes	characteristic
772	#95	C₂³×C₁₃	1	2	yes	—
773	#95	C₂³×C₁₃	1	2	yes	—
774	#95	C₂³×C₁₃	1	2	yes	—
775	#95	C₂³×C₁₃	1	2	yes	—
776	#95	C₂³×C₁₃	1	2	yes	—
777	#95	C₂³×C₁₃	1	2	yes	—
778	#95	C₂³×C₁₃	1	2	yes	—
779	#95	C₂³×C₁₃	1	2	yes	—
780	#95	C₂³×C₁₃	1	2	yes	—
781	#95	C₂³×C₁₃	1	2	yes	—
782	#95	C₂³×C₁₃	1	2	yes	—
783	#95	C₂³×C₁₃	1	2	yes	—
784	#95	C₂³×C₁₃	1	2	yes	—
785	#95	C₂³×C₁₃	1	2	yes	—
786	#95	C₂³×C₁₃	1	2	yes	—
787	C₂×C₁₃	—	4	4	no	—
788	C₂×C₁₃	—	4	2	no	—
789	C₂×C₁₃	—	4	2	no	—
790	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
791	C₂×C₁₃	#3444	1	1	yes	characteristic
792	C₂×C₁₃	#3461	1	1	yes	characteristic
793	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
794	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
795	C₂×C₁₃	#3480	1	1	yes	characteristic
796	C₂×C₁₃	#3482	1	1	yes	characteristic
797	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
798	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
799	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
800	#41	—	2	32	no	—
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	2	no	—
803	C₂×Q₈	—	2	2	no	—
804	C₂×Q₈	—	2	2	no	—
805	C₂×Q₈	—	2	2	no	—
806	C₂×Q₈	C₁₃×#41	1	4	yes	—
807	C₂×D₄	—	2	4	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	2	4	no	—
812	C₂×D₄	—	2	4	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	2	4	no	—
815	C₂×D₄	—	2	2	no	—
816	C₂×D₄	—	2	2	no	—
817	C₂×D₄	—	4	2	no	—
818	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
819	C₂²×C₄	—	2	4	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	2	4	no	—
822	C₂²×C₄	—	2	4	no	—
823	C₂²×C₄	—	2	4	no	—
824	C₂²×C₄	—	2	2	no	—
825	C₂²×C₄	—	2	4	no	—
826	C₂²×C₄	—	2	4	no	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	2	2	no	—
831	C₂²×C₄	—	2	2	no	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	4	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	4	1	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	2	no	—
844	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
845	C₂²×C₄	C₁₃×#41	1	4	yes	—
846	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
847	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
848	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
849	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
850	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
851	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
852	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
854	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
855	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
856	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
858	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
859	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
860	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
862	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
863	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
864	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
866	C₄⋊C₄	—	2	4	no	—
867	C₄⋊C₄	—	2	4	no	—
868	C₄⋊C₄	—	2	2	no	—
869	C₄⋊C₄	—	2	4	no	—
870	C₄⋊C₄	—	2	4	no	—
871	C₄⋊C₄	—	2	4	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	4	no	—
874	C₄⋊C₄	—	2	4	no	—
875	C₄⋊C₄	—	2	4	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	4	no	—
882	C₄⋊C₄	—	2	4	no	—
883	C₄⋊C₄	—	2	4	no	—
884	C₄⋊C₄	—	2	4	no	—
885	C₄⋊C₄	—	2	4	no	—
886	C₄⋊C₄	—	2	4	no	—
887	C₄⋊C₄	—	4	2	no	—
888	C₄⋊C₄	—	4	2	no	—
889	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
890	C₂²⋊C₄	—	2	4	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	4	no	—
893	C₂²⋊C₄	—	2	4	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	4	no	—
896	C₂²⋊C₄	—	2	4	no	—
897	C₂²⋊C₄	—	2	4	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	4	no	—
900	C₂²⋊C₄	—	2	4	no	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	4	no	—
906	C₂²⋊C₄	—	2	4	no	—
907	C₂²⋊C₄	—	4	2	no	—
908	C₂²⋊C₄	—	4	2	no	—
909	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
910	C₂²⋊C₄	C₁₃×#41	1	4	yes	complemented
911	C₄²	—	2	2	no	—
912	C₄²	—	2	2	no	—
913	C₄²	—	2	4	no	—
914	C₄²	—	2	2	no	—
915	C₄²	—	2	4	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	2	4	no	—
918	C₄²	—	2	2	no	—
919	C₄²	—	2	2	no	—
920	C₄²	—	2	4	no	—
921	C₄²	—	2	4	no	—
922	C₄²	—	2	2	no	—
923	C₄²	—	2	2	no	—
924	C₄²	—	2	2	no	—
925	C₄²	—	2	2	no	—
926	C₄²	—	4	1	no	—
927	C₄²	C₂×D₄×C₁₃	1	4	yes	—
928	C₄²	C₁₃×#41	1	4	yes	complemented
929	C₁₃	#34724	1	1	yes	characteristic, direct product factor, Sylow
930	C₂³	—	2	1	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	1	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	1	no	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	1	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	2	2	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	1	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	1	no	—
948	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
949	C₂³	C₂×C₁₃×#41	1	2	yes	—
950	C₂³	C₂×C₁₃×#41	1	2	yes	—
951	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
952	Q₈	—	2	8	no	—
953	Q₈	—	4	4	no	—
954	D₄	—	2	8	no	—
955	D₄	—	2	16	no	—
956	D₄	—	2	8	no	—
957	D₄	—	4	8	no	—
958	C₂×C₄	—	2	16	no	—
959	C₂×C₄	—	2	1	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	1	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	8	no	—
976	C₂×C₄	—	2	16	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	2	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	4	4	no	—
1008	C₂×C₄	—	4	8	no	—
1009	C₂×C₄	—	4	4	no	—
1010	C₂×C₄	—	4	4	no	—
1011	C₂×C₄	—	4	4	no	—
1012	C₂×C₄	—	4	4	no	—
1013	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1014	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1015	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1016	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1017	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1018	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1019	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1020	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1021	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
1022	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1023	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1024	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1025	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1026	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1027	C₂²	—	2	4	no	—
1028	C₂²	—	2	2	no	—
1029	C₂²	—	2	2	no	—
1030	C₂²	—	2	2	no	—
1031	C₂²	—	2	2	no	—
1032	C₂²	—	2	4	no	—
1033	C₂²	—	2	2	no	—
1034	C₂²	—	2	4	no	—
1035	C₂²	—	2	2	no	—
1036	C₂²	—	4	1	no	—
1037	C₂²	—	4	2	no	—
1038	C₂²	—	4	1	no	—
1039	C₂²	—	4	2	no	—
1040	C₂²	—	4	1	no	—
1041	C₂²	—	4	1	no	—
1042	C₂²	—	4	1	no	—
1043	C₂²	—	4	1	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	1	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	1	no	—
1048	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1049	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1050	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1051	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1052	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1053	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1054	C₂²	C₁₃×#585	1	1	yes	characteristic
1055	C₄	—	2	2	no	—
1056	C₄	—	2	4	no	—
1057	C₄	—	2	2	no	—
1058	C₄	—	2	4	no	—
1059	C₄	—	2	2	no	—
1060	C₄	—	2	2	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	2	no	—
1063	C₄	—	4	1	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	2	no	—
1066	C₄	—	4	1	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	2	no	—
1072	C₄	—	4	2	no	—
1073	C₄	C₁₃×#525	1	4	yes	—
1074	C₄	C₁₃×#547	1	4	yes	—
1075	C₂	—	4	4	no	—
1076	C₂	—	4	2	no	—
1077	C₂	—	4	2	no	—
1078	C₂	C₂×C₁₃×#525	1	1	yes	characteristic
1079	C₂	C₁₃×#3444	1	1	yes	characteristic
1080	C₂	C₁₃×#3461	1	1	yes	characteristic
1081	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
1082	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1083	C₂	C₁₃×#3480	1	1	yes	characteristic
1084	C₂	C₁₃×#3482	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₃	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
socle	C₂³×C₁₃	C₂⁵
prime radical	C₁₃×#2407	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#529	C₂	semidirect
2. C₂×C₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#2478	C₂	semidirect
4. C₁₃×#2470	C₂	semidirect
5. C₁₃×#2466	C₂	semidirect
6. C₁₃×#2455	C₂	semidirect
7. C₁₃×#2453	C₂	semidirect
8. C₁₃×#2447	C₂	semidirect
9. C₁₃×#2441	C₂	semidirect
10. C₁₃×#2432	C₂	semidirect
11. C₁₃×#2429	C₂	semidirect
12. C₁₃×#2422	C₂	semidirect
13. C₁₃×#2415	C₂	semidirect
15. C₁₃×#2395	C₂	semidirect
16. C₁₃×#2392	C₂	semidirect
17. C₄×C₁₃×C₄⋊Q₈	C₂	semidirect
18. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
19. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
20. C₄×C₁₃×#123	C₂	semidirect
21. C₁₃×#2296	C₂	semidirect
22. C₁₃×#2293	C₂	semidirect
23. C₄²×D₄×C₁₃	C₂	semidirect
163. C₄×D₄×C₁₃	D₄	semidirect
255. #34724	C₁₃	direct (N × H)
369. C₁₃×C₂²⋊C₄	#41	semidirect
387. C₄²×C₁₃	#41	semidirect
388. C₂×#529	C₂×C₁₃	semidirect
389. C₂×C₄×#41	C₂×C₁₃	semidirect
390. #2478	C₂×C₁₃	semidirect
391. #2470	C₂×C₁₃	semidirect
392. #2466	C₂×C₁₃	semidirect
393. #2455	C₂×C₁₃	semidirect
394. #2453	C₂×C₁₃	semidirect
395. #2447	C₂×C₁₃	semidirect
396. #2441	C₂×C₁₃	semidirect
397. #2432	C₂×C₁₃	semidirect
398. #2429	C₂×C₁₃	semidirect
399. #2422	C₂×C₁₃	semidirect
400. #2415	C₂×C₁₃	semidirect
402. #2395	C₂×C₁₃	semidirect
403. #2392	C₂×C₁₃	semidirect
404. C₄×C₄⋊Q₈	C₂×C₁₃	semidirect
405. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
406. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
407. C₄×#123	C₂×C₁₃	semidirect
408. #2296	C₂×C₁₃	semidirect
409. #2293	C₂×C₁₃	semidirect
410. C₄²×D₄	C₂×C₁₃	semidirect
695. C₄×D₄	D₄×C₁₃	semidirect
910. C₂²⋊C₄	C₁₃×#41	semidirect
928. C₄²	C₁₃×#41	semidirect
929. C₁₃	#34724	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×#529	2
C₂×C₄×C₁₃×#41	2
C₁₃×#2478	2
C₁₃×#2470	2
C₁₃×#2466	2
C₁₃×#2455	2
C₁₃×#2453	2
C₁₃×#2447	2
C₁₃×#2441	2
C₁₃×#2432	2
C₁₃×#2429	2
C₁₃×#2422	2
C₁₃×#2415	2
C₁₃×#2407	2
C₁₃×#2395	2
C₁₃×#2392	2
C₄×C₁₃×C₄⋊Q₈	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#123	2
C₁₃×#2296	2
C₁₃×#2293	2
C₄²×D₄×C₁₃	2
#34724	13

Subgroups — C13×#34724 #15721063

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34724 #15721063