Subgroups — C₁₃×#34919 #15721258

Order 3328.

2392 conjugacy classes of subgroups.

The subgroup lattice has 1082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2560	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2558	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2550	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2545	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2540	C₂	1	1	yes	maximal, characteristic
8	C₁₃×#2536	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2519	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2491	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2489	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2461	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2429	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2426	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2396	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2392	C₂	1	2	yes	maximal, complemented
17	C₄×C₁₃×#124	C₂	1	2	yes	maximal, complemented
18	C₄×C₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2293	C₂	1	2	yes	maximal, complemented
22	C₄²×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#533	—	2	8	no	—
25	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
27	C₁₃×#529	—	2	8	no	—
28	C₂×C₁₃×#126	C₂²	1	2	yes	—
29	C₂×C₁₃×#125	C₂²	1	2	yes	—
30	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#124	C₂²	1	2	yes	—
34	C₂×C₁₃×#123	C₂²	1	2	yes	—
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
40	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
46	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
51	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
53	C₂×C₁₃×#117	C₂²	1	2	yes	—
54	C₂×C₁₃×#117	C₂²	1	2	yes	—
55	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
56	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#400	C₂²	1	2	yes	—
58	C₁₃×#399	C₂²	1	2	yes	—
59	C₁₃×#398	C₂²	1	2	yes	—
60	C₁₃×#398	C₂²	1	2	yes	—
61	C₁₃×#398	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×#396	C₂²	1	2	yes	—
66	C₁₃×#396	C₂²	1	2	yes	—
67	C₁₃×#395	C₂²	1	2	yes	—
68	C₁₃×#394	C₂²	1	2	yes	—
69	C₁₃×#394	C₂²	1	2	yes	—
70	C₁₃×#394	C₂²	1	2	yes	—
71	C₁₃×#393	C₂²	1	2	yes	—
72	C₁₃×#392	C₂²	1	2	yes	—
73	C₁₃×#391	C₂²	1	1	yes	characteristic
74	C₁₃×#391	C₂²	1	2	yes	—
75	C₁₃×#391	C₂²	1	1	yes	characteristic
76	C₁₃×#390	C₂²	1	2	yes	—
77	C₁₃×#390	C₂²	1	2	yes	—
78	C₁₃×#390	C₂²	1	1	yes	characteristic
79	C₁₃×#390	C₂²	1	2	yes	—
80	C₁₃×#390	C₂²	1	1	yes	characteristic
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×#388	C₂²	1	2	yes	—
86	C₁₃×#388	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×#388	C₂²	1	2	yes	—
92	C₁₃×#388	C₂²	1	2	yes	—
93	C₁₃×#388	C₂²	1	2	yes	—
94	C₁₃×#388	C₂²	1	2	yes	—
95	C₁₃×#388	C₂²	1	2	yes	—
96	C₁₃×#387	C₂²	1	2	yes	—
97	C₁₃×#386	C₂²	1	2	yes	—
98	C₁₃×#385	C₂²	1	2	yes	—
99	C₁₃×#382	C₂²	1	2	yes	—
100	C₁₃×#382	C₂²	1	1	yes	characteristic
101	C₁₃×#380	C₂²	1	1	yes	characteristic
102	C₁₃×#380	C₂²	1	1	yes	characteristic
103	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
105	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×C₁₃×C₄⋊C₄	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	2	yes	—
110	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
111	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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	2	yes	—
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
123	C₄³×C₁₃	C₂²	1	1	yes	characteristic
124	C₄³×C₁₃	C₂²	1	2	yes	—
125	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
126	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
127	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
131	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
132	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂³×C₄×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	C₁₃×C₄⋊Q₈	—	2	4	no	—
140	C₁₃×C₄⋊Q₈	—	2	4	no	—
141	C₁₃×#126	—	2	8	no	—
142	C₁₃×#125	—	2	4	no	—
143	C₁₃×#125	—	2	8	no	—
144	C₁₃×#124	—	2	4	no	—
145	C₁₃×#124	—	2	8	no	—
146	C₁₃×#124	—	2	4	no	—
147	C₁₃×#123	—	2	8	no	—
148	C₁₃×C₂²⋊Q₈	—	2	4	no	—
149	C₁₃×C₂²⋊Q₈	—	2	4	no	—
150	C₁₃×C₂²⋊Q₈	—	2	4	no	—
151	C₁₃×C₂²⋊Q₈	—	2	8	no	—
152	C₁₃×C₂²⋊Q₈	—	2	4	no	—
153	C₁₃×#121	—	2	4	no	—
154	C₁₃×#121	—	2	4	no	—
155	C₄×Q₈×C₁₃	—	2	4	no	—
156	C₄×Q₈×C₁₃	—	2	8	no	—
157	C₄×Q₈×C₁₃	—	2	4	no	—
158	C₄×Q₈×C₁₃	—	2	4	no	—
159	C₄×Q₈×C₁₃	D₄	1	8	yes	complemented
160	C₄×D₄×C₁₃	—	2	4	no	—
161	C₄×D₄×C₁₃	—	2	8	no	—
162	C₄×D₄×C₁₃	—	2	4	no	—
163	C₄×D₄×C₁₃	—	2	4	no	—
164	C₄×D₄×C₁₃	—	2	8	no	—
165	C₄×D₄×C₁₃	—	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	2	yes	—
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
174	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
180	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
189	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₁₃×C₂²⋊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	2	yes	—
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	2	yes	—
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
228	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
235	C₂×C₄²×C₁₃	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	1	yes	characteristic
241	C₁₃×#95	C₂³	1	1	yes	characteristic
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	#34919	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	C₂×Q₈×C₁₃	—	2	4	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	4	no	—
265	C₂×Q₈×C₁₃	—	2	2	no	—
266	C₂×Q₈×C₁₃	—	4	2	no	—
267	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	—
268	C₂×D₄×C₁₃	—	2	2	no	—
269	C₂×D₄×C₁₃	—	2	2	no	—
270	C₂×D₄×C₁₃	—	2	4	no	—
271	C₂×D₄×C₁₃	—	2	4	no	—
272	C₂×D₄×C₁₃	—	2	4	no	—
273	C₂×D₄×C₁₃	—	2	2	no	—
274	C₂×D₄×C₁₃	—	2	2	no	—
275	C₂×D₄×C₁₃	—	2	4	no	—
276	C₂×D₄×C₁₃	—	2	2	no	—
277	C₂×D₄×C₁₃	—	2	2	no	—
278	C₂×D₄×C₁₃	—	4	2	no	—
279	C₂×D₄×C₁₃	—	4	2	no	—
280	C₂²×C₄×C₁₃	—	2	2	no	—
281	C₂²×C₄×C₁₃	—	2	2	no	—
282	C₂²×C₄×C₁₃	—	2	2	no	—
283	C₂²×C₄×C₁₃	—	2	2	no	—
284	C₂²×C₄×C₁₃	—	2	2	no	—
285	C₂²×C₄×C₁₃	—	2	2	no	—
286	C₂²×C₄×C₁₃	—	2	2	no	—
287	C₂²×C₄×C₁₃	—	2	2	no	—
288	C₂²×C₄×C₁₃	—	2	4	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	4	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	—	4	1	no	—
299	C₂²×C₄×C₁₃	—	4	1	no	—
300	C₂²×C₄×C₁₃	#41	1	4	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	2	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	2	yes	—
312	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	—	2	4	no	—
322	C₁₃×C₄⋊C₄	—	2	4	no	—
323	C₁₃×C₄⋊C₄	—	2	4	no	—
324	C₁₃×C₄⋊C₄	—	2	4	no	—
325	C₁₃×C₄⋊C₄	—	2	2	no	—
326	C₁₃×C₄⋊C₄	—	2	4	no	—
327	C₁₃×C₄⋊C₄	—	2	4	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	2	no	—
333	C₁₃×C₄⋊C₄	—	2	4	no	—
334	C₁₃×C₄⋊C₄	—	2	2	no	—
335	C₁₃×C₄⋊C₄	—	2	2	no	—
336	C₁₃×C₄⋊C₄	—	2	4	no	—
337	C₁₃×C₄⋊C₄	—	2	4	no	—
338	C₁₃×C₄⋊C₄	—	2	2	no	—
339	C₁₃×C₄⋊C₄	—	2	4	no	—
340	C₁₃×C₄⋊C₄	—	4	2	no	—
341	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
342	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
343	C₁₃×C₄⋊C₄	#41	1	4	yes	—
344	C₁₃×C₂²⋊C₄	—	2	2	no	—
345	C₁₃×C₂²⋊C₄	—	2	4	no	—
346	C₁₃×C₂²⋊C₄	—	2	4	no	—
347	C₁₃×C₂²⋊C₄	—	2	4	no	—
348	C₁₃×C₂²⋊C₄	—	2	4	no	—
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	4	no	—
354	C₁₃×C₂²⋊C₄	—	2	2	no	—
355	C₁₃×C₂²⋊C₄	—	2	4	no	—
356	C₁₃×C₂²⋊C₄	—	2	2	no	—
357	C₁₃×C₂²⋊C₄	—	2	2	no	—
358	C₁₃×C₂²⋊C₄	—	2	2	no	—
359	C₁₃×C₂²⋊C₄	—	2	4	no	—
360	C₁₃×C₂²⋊C₄	—	2	4	no	—
361	C₁₃×C₂²⋊C₄	—	2	4	no	—
362	C₁₃×C₂²⋊C₄	—	2	4	no	—
363	C₁₃×C₂²⋊C₄	—	2	4	no	—
364	C₁₃×C₂²⋊C₄	—	2	4	no	—
365	C₁₃×C₂²⋊C₄	—	4	2	no	—
366	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
367	C₄²×C₁₃	—	2	2	no	—
368	C₄²×C₁₃	—	2	2	no	—
369	C₄²×C₁₃	—	2	2	no	—
370	C₄²×C₁₃	—	2	2	no	—
371	C₄²×C₁₃	—	2	2	no	—
372	C₄²×C₁₃	—	2	2	no	—
373	C₄²×C₁₃	—	2	4	no	—
374	C₄²×C₁₃	—	2	2	no	—
375	C₄²×C₁₃	—	2	2	no	—
376	C₄²×C₁₃	—	2	4	no	—
377	C₄²×C₁₃	—	2	4	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	—	4	2	no	—
383	C₄²×C₁₃	—	4	1	no	—
384	C₄²×C₁₃	C₂×D₄	1	4	yes	—
385	C₄²×C₁₃	C₂×D₄	1	8	yes	—
386	C₄²×C₁₃	#41	1	4	yes	—
387	C₂×#533	C₂×C₁₃	1	1	yes	characteristic, complemented
388	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
389	#2560	C₂×C₁₃	1	2	yes	complemented
390	#2558	C₂×C₁₃	1	2	yes	complemented
391	#2550	C₂×C₁₃	1	1	yes	characteristic, complemented
392	#2545	C₂×C₁₃	1	1	yes	characteristic, complemented
393	#2540	C₂×C₁₃	1	1	yes	characteristic
394	#2536	C₂×C₁₃	1	1	yes	characteristic, complemented
395	#2519	C₂×C₁₃	1	2	yes	complemented
396	#2491	C₂×C₁₃	1	1	yes	characteristic, complemented
397	#2489	C₂×C₁₃	1	1	yes	characteristic, complemented
398	#2461	C₂×C₁₃	1	2	yes	complemented
399	#2429	C₂×C₁₃	1	1	yes	characteristic, complemented
400	#2426	C₂×C₁₃	1	1	yes	characteristic, complemented
401	#2396	C₂×C₁₃	1	2	yes	complemented
402	#2392	C₂×C₁₃	1	2	yes	complemented
403	C₄×#124	C₂×C₁₃	1	2	yes	complemented
404	C₄×#124	C₂×C₁₃	1	1	yes	characteristic, complemented
405	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
406	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
407	#2293	C₂×C₁₃	1	2	yes	complemented
408	C₄²×Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
409	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
410	C₂³×C₁₃	—	2	1	no	—
411	C₂³×C₁₃	—	2	1	no	—
412	C₂³×C₁₃	—	2	1	no	—
413	C₂³×C₁₃	—	2	1	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	1	no	—
420	C₂³×C₁₃	—	2	1	no	—
421	C₂³×C₁₃	—	2	1	no	—
422	C₂³×C₁₃	—	2	2	no	—
423	C₂³×C₁₃	—	2	2	no	—
424	C₂³×C₁₃	—	2	2	no	—
425	C₂³×C₁₃	—	2	2	no	—
426	C₂³×C₁₃	—	2	2	no	—
427	C₂³×C₁₃	—	2	2	no	—
428	C₂³×C₁₃	—	2	2	no	—
429	C₂³×C₁₃	C₂×#41	1	2	yes	—
430	C₂³×C₁₃	C₂×#41	1	2	yes	—
431	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
432	Q₈×C₁₃	—	2	8	no	—
433	Q₈×C₁₃	—	4	8	no	—
434	Q₈×C₁₃	—	4	4	no	—
435	D₄×C₁₃	—	2	8	no	—
436	D₄×C₁₃	—	4	8	no	—
437	D₄×C₁₃	—	4	8	no	—
438	D₄×C₁₃	—	4	4	no	—
439	C₂×C₄×C₁₃	—	2	1	no	—
440	C₂×C₄×C₁₃	—	2	1	no	—
441	C₂×C₄×C₁₃	—	2	1	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	2	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	1	no	—
451	C₂×C₄×C₁₃	—	2	1	no	—
452	C₂×C₄×C₁₃	—	2	1	no	—
453	C₂×C₄×C₁₃	—	2	2	no	—
454	C₂×C₄×C₁₃	—	2	1	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	1	no	—
457	C₂×C₄×C₁₃	—	2	8	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	1	no	—
462	C₂×C₄×C₁₃	—	2	2	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	2	2	no	—
465	C₂×C₄×C₁₃	—	2	2	no	—
466	C₂×C₄×C₁₃	—	2	2	no	—
467	C₂×C₄×C₁₃	—	2	1	no	—
468	C₂×C₄×C₁₃	—	2	2	no	—
469	C₂×C₄×C₁₃	—	2	1	no	—
470	C₂×C₄×C₁₃	—	2	1	no	—
471	C₂×C₄×C₁₃	—	2	2	no	—
472	C₂×C₄×C₁₃	—	2	2	no	—
473	C₂×C₄×C₁₃	—	2	1	no	—
474	C₂×C₄×C₁₃	—	2	1	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	1	no	—
480	C₂×C₄×C₁₃	—	2	1	no	—
481	C₂×C₄×C₁₃	—	2	2	no	—
482	C₂×C₄×C₁₃	—	2	1	no	—
483	C₂×C₄×C₁₃	—	2	2	no	—
484	C₂×C₄×C₁₃	—	2	1	no	—
485	C₂×C₄×C₁₃	—	4	4	no	—
486	C₂×C₄×C₁₃	—	4	4	no	—
487	C₂×C₄×C₁₃	—	4	4	no	—
488	C₂×C₄×C₁₃	—	4	4	no	—
489	C₂×C₄×C₁₃	—	4	4	no	—
490	C₂×C₄×C₁₃	—	4	8	no	—
491	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
492	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
493	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
494	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
496	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
497	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
498	C₂×C₄×C₁₃	C₂×#41	1	4	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	2	yes	—
503	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
504	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
505	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
506	#533	—	2	8	no	—
507	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
508	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
509	#529	—	2	8	no	—
510	C₂×#126	C₂²×C₁₃	1	2	yes	—
511	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
512	C₂×#125	C₂²×C₁₃	1	2	yes	—
513	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
514	C₂×#124	C₂²×C₁₃	1	2	yes	—
515	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
516	C₂×#123	C₂²×C₁₃	1	2	yes	—
517	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
518	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
519	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
520	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
521	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
522	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
523	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
524	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
525	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
526	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
527	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
528	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
529	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
530	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
531	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
532	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
533	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
534	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
535	C₂×#117	C₂²×C₁₃	1	2	yes	—
536	C₂×#117	C₂²×C₁₃	1	2	yes	—
537	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
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	#398	C₂²×C₁₃	1	2	yes	—
544	#397	C₂²×C₁₃	1	2	yes	—
545	#396	C₂²×C₁₃	1	2	yes	—
546	#396	C₂²×C₁₃	1	2	yes	—
547	#396	C₂²×C₁₃	1	2	yes	—
548	#396	C₂²×C₁₃	1	2	yes	—
549	#395	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	#393	C₂²×C₁₃	1	2	yes	—
554	#392	C₂²×C₁₃	1	2	yes	—
555	#391	C₂²×C₁₃	1	2	yes	—
556	#391	C₂²×C₁₃	1	1	yes	characteristic
557	#391	C₂²×C₁₃	1	1	yes	characteristic
558	#390	C₂²×C₁₃	1	2	yes	—
559	#390	C₂²×C₁₃	1	2	yes	—
560	#390	C₂²×C₁₃	1	1	yes	characteristic
561	#390	C₂²×C₁₃	1	1	yes	characteristic
562	#390	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	2	yes	—
567	#388	C₂²×C₁₃	1	2	yes	—
568	#388	C₂²×C₁₃	1	2	yes	—
569	#388	C₂²×C₁₃	1	2	yes	—
570	#388	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	#388	C₂²×C₁₃	1	2	yes	—
576	#388	C₂²×C₁₃	1	2	yes	—
577	#388	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	#382	C₂²×C₁₃	1	2	yes	—
582	#382	C₂²×C₁₃	1	1	yes	characteristic
583	#380	C₂²×C₁₃	1	1	yes	characteristic
584	#380	C₂²×C₁₃	1	1	yes	characteristic
585	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
586	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
587	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
588	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
589	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
590	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
591	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
592	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
593	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
594	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
595	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
596	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
597	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
598	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
599	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
600	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
601	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
602	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
603	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
604	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
605	C₄³	C₂²×C₁₃	1	1	yes	characteristic
606	C₄³	C₂²×C₁₃	1	2	yes	—
607	C₂²×C₁₃	—	2	2	no	—
608	C₂²×C₁₃	—	2	2	no	—
609	C₂²×C₁₃	—	2	2	no	—
610	C₂²×C₁₃	—	2	2	no	—
611	C₂²×C₁₃	—	2	2	no	—
612	C₂²×C₁₃	—	2	2	no	—
613	C₂²×C₁₃	—	4	1	no	—
614	C₂²×C₁₃	—	4	1	no	—
615	C₂²×C₁₃	—	4	1	no	—
616	C₂²×C₁₃	—	4	1	no	—
617	C₂²×C₁₃	—	4	1	no	—
618	C₂²×C₁₃	—	4	1	no	—
619	C₂²×C₁₃	—	4	1	no	—
620	C₂²×C₁₃	—	4	1	no	—
621	C₂²×C₁₃	—	4	2	no	—
622	C₂²×C₁₃	—	4	2	no	—
623	C₂²×C₁₃	—	4	2	no	—
624	C₂²×C₁₃	—	4	2	no	—
625	C₂²×C₁₃	—	4	2	no	—
626	C₂²×C₁₃	—	4	2	no	—
627	C₂²×C₁₃	—	4	2	no	—
628	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
629	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
630	C₂²×C₁₃	C₂²×#41	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
634	C₂²×C₁₃	#585	1	1	yes	characteristic
635	C₄×C₁₃	—	2	4	no	—
636	C₄×C₁₃	—	2	2	no	—
637	C₄×C₁₃	—	2	2	no	—
638	C₄×C₁₃	—	2	2	no	—
639	C₄×C₁₃	—	2	2	no	—
640	C₄×C₁₃	—	2	2	no	—
641	C₄×C₁₃	—	2	4	no	—
642	C₄×C₁₃	—	2	4	no	—
643	C₄×C₁₃	—	2	2	no	—
644	C₄×C₁₃	—	4	1	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	2	no	—
650	C₄×C₁₃	—	4	1	no	—
651	C₄×C₁₃	—	4	2	no	—
652	C₄×C₁₃	—	4	1	no	—
653	C₄×C₁₃	#532	1	4	yes	—
654	C₄×C₁₃	#548	1	4	yes	—
655	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
656	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
657	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
658	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
659	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
660	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
661	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
662	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
663	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
664	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
665	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
666	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
667	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
668	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
669	C₄⋊Q₈	—	2	4	no	—
670	C₄⋊Q₈	—	2	4	no	—
671	#126	—	2	8	no	—
672	#125	—	2	4	no	—
673	#125	—	2	8	no	—
674	#124	—	2	4	no	—
675	#124	—	2	8	no	—
676	#124	—	2	4	no	—
677	#123	—	2	8	no	—
678	C₂²⋊Q₈	—	2	4	no	—
679	C₂²⋊Q₈	—	2	4	no	—
680	C₂²⋊Q₈	—	2	4	no	—
681	C₂²⋊Q₈	—	2	8	no	—
682	C₂²⋊Q₈	—	2	4	no	—
683	#121	—	2	4	no	—
684	#121	—	2	4	no	—
685	C₄×Q₈	—	2	4	no	—
686	C₄×Q₈	—	2	8	no	—
687	C₄×Q₈	—	2	4	no	—
688	C₄×Q₈	—	2	4	no	—
689	C₄×Q₈	D₄×C₁₃	1	8	yes	complemented
690	C₄×D₄	—	2	4	no	—
691	C₄×D₄	—	2	8	no	—
692	C₄×D₄	—	2	4	no	—
693	C₄×D₄	—	2	4	no	—
694	C₄×D₄	—	2	8	no	—
695	C₄×D₄	—	2	4	no	—
696	#117	—	2	8	no	—
697	#117	—	2	8	no	—
698	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
699	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
700	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
701	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
702	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
708	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
709	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
710	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
720	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
723	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
729	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
730	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
732	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
734	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
744	C₂×C₄²	—	2	4	no	—
745	C₂×C₄²	—	2	4	no	—
746	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
747	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
748	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
749	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
750	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
751	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
753	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
754	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
755	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
756	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
763	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
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	C₂×C₁₃	—	4	2	no	—
786	C₂×C₁₃	—	4	2	no	—
787	C₂×C₁₃	—	8	2	no	—
788	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
789	C₂×C₁₃	#3444	1	1	yes	characteristic
790	C₂×C₁₃	#3461	1	1	yes	characteristic
791	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
792	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
793	C₂×C₁₃	#3475	1	1	yes	characteristic
794	C₂×C₁₃	#3482	1	1	yes	characteristic
795	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
796	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
797	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
798	C₂×Q₈	—	2	4	no	—
799	C₂×Q₈	—	2	2	no	—
800	C₂×Q₈	—	2	2	no	—
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	2	no	—
803	C₂×Q₈	—	2	4	no	—
804	C₂×Q₈	—	2	2	no	—
805	C₂×Q₈	—	4	2	no	—
806	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	—
807	C₂×D₄	—	2	2	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	2	4	no	—
812	C₂×D₄	—	2	2	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	—	4	2	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	2	2	no	—
822	C₂²×C₄	—	2	2	no	—
823	C₂²×C₄	—	2	2	no	—
824	C₂²×C₄	—	2	2	no	—
825	C₂²×C₄	—	2	2	no	—
826	C₂²×C₄	—	2	2	no	—
827	C₂²×C₄	—	2	4	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	4	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	4	no	—
837	C₂²×C₄	—	4	1	no	—
838	C₂²×C₄	—	4	1	no	—
839	C₂²×C₄	C₁₃×#41	1	4	yes	—
840	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
841	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
842	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
843	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
844	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
846	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
847	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
848	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
849	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
850	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
851	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
852	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
854	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
856	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
859	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
860	C₄⋊C₄	—	2	4	no	—
861	C₄⋊C₄	—	2	4	no	—
862	C₄⋊C₄	—	2	4	no	—
863	C₄⋊C₄	—	2	4	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	4	no	—
866	C₄⋊C₄	—	2	4	no	—
867	C₄⋊C₄	—	2	4	no	—
868	C₄⋊C₄	—	2	4	no	—
869	C₄⋊C₄	—	2	4	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	4	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	4	no	—
876	C₄⋊C₄	—	2	4	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	4	no	—
879	C₄⋊C₄	—	4	2	no	—
880	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
881	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
882	C₄⋊C₄	C₁₃×#41	1	4	yes	—
883	C₂²⋊C₄	—	2	2	no	—
884	C₂²⋊C₄	—	2	4	no	—
885	C₂²⋊C₄	—	2	4	no	—
886	C₂²⋊C₄	—	2	4	no	—
887	C₂²⋊C₄	—	2	4	no	—
888	C₂²⋊C₄	—	2	4	no	—
889	C₂²⋊C₄	—	2	4	no	—
890	C₂²⋊C₄	—	2	4	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	4	no	—
893	C₂²⋊C₄	—	2	2	no	—
894	C₂²⋊C₄	—	2	4	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	4	no	—
900	C₂²⋊C₄	—	2	4	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	4	no	—
904	C₂²⋊C₄	—	4	2	no	—
905	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
906	C₄²	—	2	2	no	—
907	C₄²	—	2	2	no	—
908	C₄²	—	2	2	no	—
909	C₄²	—	2	2	no	—
910	C₄²	—	2	2	no	—
911	C₄²	—	2	2	no	—
912	C₄²	—	2	4	no	—
913	C₄²	—	2	2	no	—
914	C₄²	—	2	2	no	—
915	C₄²	—	2	4	no	—
916	C₄²	—	2	4	no	—
917	C₄²	—	2	2	no	—
918	C₄²	—	2	4	no	—
919	C₄²	—	2	4	no	—
920	C₄²	—	2	2	no	—
921	C₄²	—	4	2	no	—
922	C₄²	—	4	1	no	—
923	C₄²	C₂×D₄×C₁₃	1	4	yes	—
924	C₄²	C₂×D₄×C₁₃	1	8	yes	—
925	C₄²	C₁₃×#41	1	4	yes	—
926	C₁₃	#34919	1	1	yes	characteristic, direct product factor, Sylow
927	C₂³	—	2	1	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	1	no	—
930	C₂³	—	2	1	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	1	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	1	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	2	2	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	2	no	—
945	C₂³	—	2	2	no	—
946	C₂³	C₂×C₁₃×#41	1	2	yes	—
947	C₂³	C₂×C₁₃×#41	1	2	yes	—
948	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
949	Q₈	—	2	8	no	—
950	Q₈	—	4	8	no	—
951	Q₈	—	4	4	no	—
952	D₄	—	2	8	no	—
953	D₄	—	4	8	no	—
954	D₄	—	4	8	no	—
955	D₄	—	4	4	no	—
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	1	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	8	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	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	1	no	—
987	C₂×C₄	—	2	1	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	1	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	4	4	no	—
1003	C₂×C₄	—	4	4	no	—
1004	C₂×C₄	—	4	4	no	—
1005	C₂×C₄	—	4	4	no	—
1006	C₂×C₄	—	4	4	no	—
1007	C₂×C₄	—	4	8	no	—
1008	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1009	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1010	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1011	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1012	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1013	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1014	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1015	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
1016	C₂×C₄	C₂×C₁₃×#41	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	2	yes	—
1022	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	2	no	—
1025	C₂²	—	2	2	no	—
1026	C₂²	—	2	2	no	—
1027	C₂²	—	2	2	no	—
1028	C₂²	—	2	2	no	—
1029	C₂²	—	4	1	no	—
1030	C₂²	—	4	1	no	—
1031	C₂²	—	4	1	no	—
1032	C₂²	—	4	1	no	—
1033	C₂²	—	4	1	no	—
1034	C₂²	—	4	1	no	—
1035	C₂²	—	4	1	no	—
1036	C₂²	—	4	1	no	—
1037	C₂²	—	4	2	no	—
1038	C₂²	—	4	2	no	—
1039	C₂²	—	4	2	no	—
1040	C₂²	—	4	2	no	—
1041	C₂²	—	4	2	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1045	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1046	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1047	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1048	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1049	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1050	C₂²	C₁₃×#585	1	1	yes	characteristic
1051	C₄	—	2	4	no	—
1052	C₄	—	2	2	no	—
1053	C₄	—	2	2	no	—
1054	C₄	—	2	2	no	—
1055	C₄	—	2	2	no	—
1056	C₄	—	2	2	no	—
1057	C₄	—	2	4	no	—
1058	C₄	—	2	4	no	—
1059	C₄	—	2	2	no	—
1060	C₄	—	4	1	no	—
1061	C₄	—	4	1	no	—
1062	C₄	—	4	2	no	—
1063	C₄	—	4	2	no	—
1064	C₄	—	4	1	no	—
1065	C₄	—	4	2	no	—
1066	C₄	—	4	1	no	—
1067	C₄	—	4	2	no	—
1068	C₄	—	4	1	no	—
1069	C₄	C₁₃×#532	1	4	yes	—
1070	C₄	C₁₃×#548	1	4	yes	—
1071	C₂	—	4	2	no	—
1072	C₂	—	4	2	no	—
1073	C₂	—	8	2	no	—
1074	C₂	C₂×C₁₃×#532	1	1	yes	characteristic
1075	C₂	C₁₃×#3444	1	1	yes	characteristic
1076	C₂	C₁₃×#3461	1	1	yes	characteristic
1077	C₂	C₂×C₁₃×#548	1	1	yes	characteristic
1078	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1079	C₂	C₁₃×#3475	1	1	yes	characteristic
1080	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×#2540	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×#533	C₂	semidirect
2. C₂×C₁₃×#529	C₂	semidirect
3. C₁₃×#2560	C₂	semidirect
4. C₁₃×#2558	C₂	semidirect
5. C₁₃×#2550	C₂	semidirect
6. C₁₃×#2545	C₂	semidirect
8. C₁₃×#2536	C₂	semidirect
9. C₁₃×#2519	C₂	semidirect
10. C₁₃×#2491	C₂	semidirect
11. C₁₃×#2489	C₂	semidirect
12. C₁₃×#2461	C₂	semidirect
13. C₁₃×#2429	C₂	semidirect
14. C₁₃×#2426	C₂	semidirect
15. C₁₃×#2396	C₂	semidirect
16. C₁₃×#2392	C₂	semidirect
17. C₄×C₁₃×#124	C₂	semidirect
18. C₄×C₁₃×#124	C₂	semidirect
19. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
20. C₄×C₁₃×#121	C₂	semidirect
21. C₁₃×#2293	C₂	semidirect
22. C₄²×Q₈×C₁₃	C₂	semidirect
23. C₄²×D₄×C₁₃	C₂	semidirect
159. C₄×Q₈×C₁₃	D₄	semidirect
255. #34919	C₁₃	direct (N × H)
387. C₂×#533	C₂×C₁₃	semidirect
388. C₂×#529	C₂×C₁₃	semidirect
389. #2560	C₂×C₁₃	semidirect
390. #2558	C₂×C₁₃	semidirect
391. #2550	C₂×C₁₃	semidirect
392. #2545	C₂×C₁₃	semidirect
394. #2536	C₂×C₁₃	semidirect
395. #2519	C₂×C₁₃	semidirect
396. #2491	C₂×C₁₃	semidirect
397. #2489	C₂×C₁₃	semidirect
398. #2461	C₂×C₁₃	semidirect
399. #2429	C₂×C₁₃	semidirect
400. #2426	C₂×C₁₃	semidirect
401. #2396	C₂×C₁₃	semidirect
402. #2392	C₂×C₁₃	semidirect
403. C₄×#124	C₂×C₁₃	semidirect
404. C₄×#124	C₂×C₁₃	semidirect
405. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
406. C₄×#121	C₂×C₁₃	semidirect
407. #2293	C₂×C₁₃	semidirect
408. C₄²×Q₈	C₂×C₁₃	semidirect
409. C₄²×D₄	C₂×C₁₃	semidirect
689. C₄×Q₈	D₄×C₁₃	semidirect
926. C₁₃	#34919	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×#533	2
C₂×C₁₃×#529	2
C₁₃×#2560	2
C₁₃×#2558	2
C₁₃×#2550	2
C₁₃×#2545	2
C₁₃×#2540	2
C₁₃×#2536	2
C₁₃×#2519	2
C₁₃×#2491	2
C₁₃×#2489	2
C₁₃×#2461	2
C₁₃×#2429	2
C₁₃×#2426	2
C₁₃×#2396	2
C₁₃×#2392	2
C₄×C₁₃×#124	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#121	2
C₁₃×#2293	2
C₄²×Q₈×C₁₃	2
C₄²×D₄×C₁₃	2
#34919	13

Subgroups — C13×#34919 #15721258

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34919 #15721258