Subgroups — C₁₃×#34691 #15721030

Order 3328.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1048 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	C₂²×C₄×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2473	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2465	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2462	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2451	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2449	C₂	1	2	yes	maximal
8	C₁₃×#2446	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2440	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2434	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2429	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2423	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2417	C₂	1	1	yes	maximal, characteristic
14	C₁₃×#2409	C₂	1	1	yes	maximal, characteristic
15	C₁₃×#2399	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2396	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	2	yes	maximal, complemented
19	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2295	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2290	C₂	1	2	yes	maximal
23	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic
24	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
25	C₁₃×#533	—	2	8	no	—
26	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#125	C₂²	1	2	yes	—
30	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
36	C₂×C₄×Q₈×C₁₃	—	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	2	yes	—
40	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
41	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
44	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#117	C₂²	1	2	yes	—
49	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
51	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
52	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₁₃	C₂²	1	2	yes	—
54	C₁₃×#400	C₂²	1	2	yes	—
55	C₁₃×#399	C₂²	1	2	yes	—
56	C₁₃×#398	C₂²	1	2	yes	—
57	C₁₃×#398	C₂²	1	2	yes	—
58	C₁₃×#398	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×#396	C₂²	1	2	yes	—
63	C₁₃×#396	C₂²	1	2	yes	—
64	C₁₃×#395	C₂²	1	2	yes	—
65	C₁₃×#395	C₂²	1	2	yes	—
66	C₁₃×#395	C₂²	1	2	yes	—
67	C₁₃×#395	C₂²	1	2	yes	—
68	C₁₃×#395	C₂²	1	2	yes	—
69	C₁₃×#393	C₂²	1	2	yes	—
70	C₁₃×#391	C₂²	1	1	yes	characteristic
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	2	yes	—
75	C₁₃×#391	C₂²	1	1	yes	characteristic
76	C₁₃×#391	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	1	yes	characteristic
80	C₁₃×#389	C₂²	1	2	yes	—
81	C₁₃×#389	C₂²	1	1	yes	characteristic
82	C₁₃×#389	C₂²	1	2	yes	—
83	C₁₃×#389	C₂²	1	2	yes	—
84	C₁₃×#388	C₂²	1	2	yes	—
85	C₁₃×#388	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×#387	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×#386	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×#384	C₂²	1	1	yes	characteristic
103	C₁₃×#380	C₂²	1	1	yes	characteristic
104	C₁₃×#380	C₂²	1	1	yes	characteristic
105	C₁₃×#380	C₂²	1	2	yes	—
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	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	C₁₃×#376	C₂²	1	2	yes	—
124	C₄³×C₁₃	C₂²	1	1	yes	characteristic
125	C₂²×Q₈×C₁₃	—	2	4	no	—
126	C₂²×Q₈×C₁₃	—	2	4	no	—
127	C₂²×Q₈×C₁₃	—	2	4	no	—
128	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
130	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
131	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
132	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
139	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₁₃×C₄⋊Q₈	—	2	4	no	—
143	C₁₃×C₄⋊Q₈	—	2	4	no	—
144	C₁₃×C₄⋊Q₈	—	2	4	no	—
145	C₁₃×#125	—	2	8	no	—
146	C₁₃×C₂²⋊Q₈	—	2	4	no	—
147	C₁₃×C₂²⋊Q₈	—	2	4	no	—
148	C₁₃×C₂²⋊Q₈	—	2	4	no	—
149	C₁₃×C₂²⋊Q₈	—	2	4	no	—
150	C₁₃×C₂²⋊Q₈	—	2	8	no	—
151	C₁₃×C₂²⋊Q₈	—	2	8	no	—
152	C₄×Q₈×C₁₃	—	2	4	no	—
153	C₄×Q₈×C₁₃	—	2	8	no	—
154	C₄×Q₈×C₁₃	—	2	4	no	—
155	C₄×Q₈×C₁₃	—	2	4	no	—
156	C₄×Q₈×C₁₃	—	2	8	no	—
157	C₄×Q₈×C₁₃	—	2	8	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	4	no	—
162	C₄×D₄×C₁₃	Q₈	1	8	yes	complemented
163	C₁₃×#117	—	2	8	no	—
164	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
165	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
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	1	yes	characteristic
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
178	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	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	2	yes	—
192	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₄⋊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	1	yes	characteristic
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	1	yes	characteristic
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃	—	2	4	no	—
208	C₂×C₄²×C₁₃	—	2	8	no	—
209	C₂×C₄²×C₁₃	—	2	4	no	—
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
218	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
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	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₁₃×#95	C₂³	1	1	yes	characteristic
230	C₁₃×#95	C₂³	1	1	yes	characteristic
231	C₁₃×#95	C₂³	1	1	yes	characteristic
232	C₁₃×#95	C₂³	1	1	yes	characteristic
233	C₁₃×#95	C₂³	1	1	yes	characteristic
234	C₁₃×#95	C₂³	1	1	yes	characteristic
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	2	yes	—
239	C₁₃×#95	C₂³	1	2	yes	—
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	#34691	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
255	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
256	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
257	C₂×Q₈×C₁₃	—	2	32	no	—
258	C₂×Q₈×C₁₃	—	2	4	no	—
259	C₂×Q₈×C₁₃	—	2	2	no	—
260	C₂×Q₈×C₁₃	—	2	4	no	—
261	C₂×Q₈×C₁₃	—	2	2	no	—
262	C₂×Q₈×C₁₃	—	2	4	no	—
263	C₂×Q₈×C₁₃	—	2	4	no	—
264	C₂×Q₈×C₁₃	—	2	2	no	—
265	C₂×Q₈×C₁₃	—	2	2	no	—
266	C₂×Q₈×C₁₃	—	2	2	no	—
267	C₂×Q₈×C₁₃	—	2	4	no	—
268	C₂×Q₈×C₁₃	—	2	2	no	—
269	C₂×Q₈×C₁₃	—	2	2	no	—
270	C₂×Q₈×C₁₃	—	4	2	no	—
271	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	—
272	C₂×Q₈×C₁₃	#41	1	4	yes	—
273	C₂×D₄×C₁₃	—	2	2	no	—
274	C₂×D₄×C₁₃	—	2	2	no	—
275	C₂×D₄×C₁₃	C₂×Q₈	1	4	yes	—
276	C₂²×C₄×C₁₃	—	2	4	no	—
277	C₂²×C₄×C₁₃	—	2	2	no	—
278	C₂²×C₄×C₁₃	—	2	4	no	—
279	C₂²×C₄×C₁₃	—	2	2	no	—
280	C₂²×C₄×C₁₃	—	2	2	no	—
281	C₂²×C₄×C₁₃	—	2	4	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	4	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	2	no	—
294	C₂²×C₄×C₁₃	—	4	1	no	—
295	C₂²×C₄×C₁₃	—	4	1	no	—
296	C₂²×C₄×C₁₃	—	4	2	no	—
297	C₂²×C₄×C₁₃	C₂×Q₈	1	4	yes	—
298	C₂²×C₄×C₁₃	C₂×Q₈	1	4	yes	complemented
299	C₂²×C₄×C₁₃	#41	1	4	yes	—
300	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
306	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
307	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	4	no	—
332	C₁₃×C₄⋊C₄	—	2	2	no	—
333	C₁₃×C₄⋊C₄	—	2	2	no	—
334	C₁₃×C₄⋊C₄	—	2	2	no	—
335	C₁₃×C₄⋊C₄	—	2	4	no	—
336	C₁₃×C₄⋊C₄	—	2	2	no	—
337	C₁₃×C₄⋊C₄	—	2	2	no	—
338	C₁₃×C₄⋊C₄	—	2	4	no	—
339	C₁₃×C₄⋊C₄	—	2	4	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	—	4	2	no	—
345	C₁₃×C₄⋊C₄	—	4	2	no	—
346	C₁₃×C₄⋊C₄	—	4	2	no	—
347	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
348	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
349	C₁₃×C₄⋊C₄	C₂×Q₈	1	4	yes	complemented
350	C₁₃×C₂²⋊C₄	—	2	2	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	4	no	—
355	C₁₃×C₂²⋊C₄	—	2	2	no	—
356	C₁₃×C₂²⋊C₄	—	2	2	no	—
357	C₁₃×C₂²⋊C₄	—	2	4	no	—
358	C₁₃×C₂²⋊C₄	—	4	2	no	—
359	C₁₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
360	C₁₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	complemented
361	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
362	C₄²×C₁₃	—	2	2	no	—
363	C₄²×C₁₃	—	2	4	no	—
364	C₄²×C₁₃	—	2	4	no	—
365	C₄²×C₁₃	—	2	2	no	—
366	C₄²×C₁₃	—	2	2	no	—
367	C₄²×C₁₃	—	2	4	no	—
368	C₄²×C₁₃	—	2	2	no	—
369	C₄²×C₁₃	—	2	2	no	—
370	C₄²×C₁₃	—	2	2	no	—
371	C₄²×C₁₃	—	2	4	no	—
372	C₄²×C₁₃	—	2	2	no	—
373	C₄²×C₁₃	—	2	2	no	—
374	C₄²×C₁₃	—	2	2	no	—
375	C₄²×C₁₃	—	2	2	no	—
376	C₄²×C₁₃	—	2	4	no	—
377	C₄²×C₁₃	—	4	1	no	—
378	C₄²×C₁₃	C₂×D₄	1	4	yes	—
379	C₄²×C₁₃	C₂×D₄	1	8	yes	—
380	C₄²×C₁₃	C₂×Q₈	1	4	yes	complemented
381	C₂×#533	C₂×C₁₃	1	1	yes	characteristic, complemented
382	C₂²×C₄×Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
383	#2473	C₂×C₁₃	1	2	yes	complemented
384	#2465	C₂×C₁₃	1	2	yes	complemented
385	#2462	C₂×C₁₃	1	2	yes	complemented
386	#2451	C₂×C₁₃	1	1	yes	characteristic, complemented
387	#2449	C₂×C₁₃	1	2	yes	—
388	#2446	C₂×C₁₃	1	1	yes	characteristic, complemented
389	#2440	C₂×C₁₃	1	1	yes	characteristic, complemented
390	#2434	C₂×C₁₃	1	1	yes	characteristic, complemented
391	#2429	C₂×C₁₃	1	1	yes	characteristic, complemented
392	#2423	C₂×C₁₃	1	1	yes	characteristic, complemented
393	#2417	C₂×C₁₃	1	1	yes	characteristic
394	#2409	C₂×C₁₃	1	1	yes	characteristic
395	#2399	C₂×C₁₃	1	2	yes	complemented
396	#2396	C₂×C₁₃	1	2	yes	complemented
397	C₄×C₄⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
398	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
399	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
400	C₄×C₂²⋊Q₈	C₂×C₁₃	1	2	yes	complemented
401	#2295	C₂×C₁₃	1	1	yes	characteristic, complemented
402	#2290	C₂×C₁₃	1	2	yes	—
403	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic
404	C₂³×C₁₃	—	2	1	no	—
405	C₂³×C₁₃	—	2	1	no	—
406	C₂³×C₁₃	—	2	1	no	—
407	C₂³×C₁₃	—	2	1	no	—
408	C₂³×C₁₃	—	2	1	no	—
409	C₂³×C₁₃	—	2	1	no	—
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	C₂²×Q₈	1	2	yes	—
415	C₂³×C₁₃	C₂²×Q₈	1	2	yes	—
416	C₂³×C₁₃	C₂×#41	1	2	yes	—
417	C₂³×C₁₃	C₂×#41	1	2	yes	—
418	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
419	Q₈×C₁₃	—	2	16	no	—
420	Q₈×C₁₃	—	2	8	no	—
421	Q₈×C₁₃	—	2	8	no	—
422	Q₈×C₁₃	—	4	8	no	—
423	Q₈×C₁₃	—	4	4	no	—
424	D₄×C₁₃	—	2	8	no	—
425	C₂×C₄×C₁₃	—	2	16	no	—
426	C₂×C₄×C₁₃	—	2	1	no	—
427	C₂×C₄×C₁₃	—	2	1	no	—
428	C₂×C₄×C₁₃	—	2	2	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	1	no	—
435	C₂×C₄×C₁₃	—	2	1	no	—
436	C₂×C₄×C₁₃	—	2	2	no	—
437	C₂×C₄×C₁₃	—	2	2	no	—
438	C₂×C₄×C₁₃	—	2	2	no	—
439	C₂×C₄×C₁₃	—	2	2	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	1	no	—
445	C₂×C₄×C₁₃	—	2	1	no	—
446	C₂×C₄×C₁₃	—	2	2	no	—
447	C₂×C₄×C₁₃	—	2	1	no	—
448	C₂×C₄×C₁₃	—	2	8	no	—
449	C₂×C₄×C₁₃	—	2	8	no	—
450	C₂×C₄×C₁₃	—	2	8	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	2	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	1	no	—
457	C₂×C₄×C₁₃	—	2	2	no	—
458	C₂×C₄×C₁₃	—	2	2	no	—
459	C₂×C₄×C₁₃	—	2	2	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	1	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	2	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	2	no	—
475	C₂×C₄×C₁₃	—	4	4	no	—
476	C₂×C₄×C₁₃	—	4	4	no	—
477	C₂×C₄×C₁₃	—	4	8	no	—
478	C₂×C₄×C₁₃	—	4	4	no	—
479	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
480	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
481	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
482	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
483	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
484	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
485	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
486	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
487	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
488	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
489	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
490	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
491	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
492	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
493	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
494	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
495	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
496	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
497	#533	—	2	8	no	—
498	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
499	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
500	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
501	C₂×#125	C₂²×C₁₃	1	2	yes	—
502	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
503	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
504	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
505	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
506	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
507	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
508	C₂×C₄×Q₈	—	2	8	no	—
509	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
510	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
511	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
512	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
513	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
514	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
515	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
516	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
517	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
518	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
519	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
520	C₂×#117	C₂²×C₁₃	1	2	yes	—
521	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
522	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
523	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
524	C₂²×C₄²	C₂²×C₁₃	1	2	yes	—
525	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
526	#400	C₂²×C₁₃	1	2	yes	—
527	#399	C₂²×C₁₃	1	2	yes	—
528	#398	C₂²×C₁₃	1	2	yes	—
529	#398	C₂²×C₁₃	1	2	yes	—
530	#398	C₂²×C₁₃	1	2	yes	—
531	#398	C₂²×C₁₃	1	2	yes	—
532	#398	C₂²×C₁₃	1	2	yes	—
533	#398	C₂²×C₁₃	1	2	yes	—
534	#396	C₂²×C₁₃	1	2	yes	—
535	#396	C₂²×C₁₃	1	2	yes	—
536	#395	C₂²×C₁₃	1	2	yes	—
537	#395	C₂²×C₁₃	1	2	yes	—
538	#395	C₂²×C₁₃	1	2	yes	—
539	#395	C₂²×C₁₃	1	2	yes	—
540	#395	C₂²×C₁₃	1	2	yes	—
541	#393	C₂²×C₁₃	1	2	yes	—
542	#391	C₂²×C₁₃	1	1	yes	characteristic
543	#391	C₂²×C₁₃	1	1	yes	characteristic
544	#391	C₂²×C₁₃	1	1	yes	characteristic
545	#391	C₂²×C₁₃	1	1	yes	characteristic
546	#391	C₂²×C₁₃	1	1	yes	characteristic
547	#391	C₂²×C₁₃	1	1	yes	characteristic
548	#391	C₂²×C₁₃	1	2	yes	—
549	#389	C₂²×C₁₃	1	2	yes	—
550	#389	C₂²×C₁₃	1	2	yes	—
551	#389	C₂²×C₁₃	1	1	yes	characteristic
552	#389	C₂²×C₁₃	1	1	yes	characteristic
553	#389	C₂²×C₁₃	1	1	yes	characteristic
554	#389	C₂²×C₁₃	1	2	yes	—
555	#389	C₂²×C₁₃	1	1	yes	characteristic
556	#388	C₂²×C₁₃	1	2	yes	—
557	#388	C₂²×C₁₃	1	2	yes	—
558	#387	C₂²×C₁₃	1	2	yes	—
559	#387	C₂²×C₁₃	1	2	yes	—
560	#387	C₂²×C₁₃	1	2	yes	—
561	#387	C₂²×C₁₃	1	2	yes	—
562	#387	C₂²×C₁₃	1	2	yes	—
563	#387	C₂²×C₁₃	1	2	yes	—
564	#387	C₂²×C₁₃	1	2	yes	—
565	#387	C₂²×C₁₃	1	2	yes	—
566	#386	C₂²×C₁₃	1	2	yes	—
567	#386	C₂²×C₁₃	1	2	yes	—
568	#385	C₂²×C₁₃	1	2	yes	—
569	#385	C₂²×C₁₃	1	2	yes	—
570	#385	C₂²×C₁₃	1	2	yes	—
571	#385	C₂²×C₁₃	1	2	yes	—
572	#385	C₂²×C₁₃	1	2	yes	—
573	#385	C₂²×C₁₃	1	2	yes	—
574	#384	C₂²×C₁₃	1	1	yes	characteristic
575	#380	C₂²×C₁₃	1	1	yes	characteristic
576	#380	C₂²×C₁₃	1	1	yes	characteristic
577	#380	C₂²×C₁₃	1	2	yes	—
578	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
579	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
580	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
581	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
582	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
583	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
584	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
585	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
586	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
587	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
588	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
589	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
590	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
591	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
592	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
593	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
594	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
595	#376	C₂²×C₁₃	1	2	yes	—
596	C₄³	C₂²×C₁₃	1	1	yes	characteristic
597	C₂²×C₁₃	—	2	2	no	—
598	C₂²×C₁₃	—	2	2	no	—
599	C₂²×C₁₃	—	2	2	no	—
600	C₂²×C₁₃	—	2	2	no	—
601	C₂²×C₁₃	—	2	2	no	—
602	C₂²×C₁₃	—	2	2	no	—
603	C₂²×C₁₃	—	2	2	no	—
604	C₂²×C₁₃	—	2	2	no	—
605	C₂²×C₁₃	—	2	2	no	—
606	C₂²×C₁₃	—	4	1	no	—
607	C₂²×C₁₃	—	4	1	no	—
608	C₂²×C₁₃	—	4	1	no	—
609	C₂²×C₁₃	—	4	1	no	—
610	C₂²×C₁₃	#533	1	4	yes	complemented
611	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
612	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
613	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
614	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
615	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
616	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
617	C₂²×C₁₃	#585	1	1	yes	characteristic
618	C₄×C₁₃	—	2	4	no	—
619	C₄×C₁₃	—	2	4	no	—
620	C₄×C₁₃	—	2	2	no	—
621	C₄×C₁₃	—	2	2	no	—
622	C₄×C₁₃	—	2	2	no	—
623	C₄×C₁₃	—	2	2	no	—
624	C₄×C₁₃	—	2	2	no	—
625	C₄×C₁₃	—	2	4	no	—
626	C₄×C₁₃	—	2	2	no	—
627	C₄×C₁₃	—	2	2	no	—
628	C₄×C₁₃	—	2	2	no	—
629	C₄×C₁₃	—	4	1	no	—
630	C₄×C₁₃	—	4	2	no	—
631	C₄×C₁₃	—	4	1	no	—
632	C₄×C₁₃	—	4	2	no	—
633	C₄×C₁₃	—	4	1	no	—
634	C₄×C₁₃	—	4	2	no	—
635	C₄×C₁₃	—	4	2	no	—
636	C₄×C₁₃	—	4	2	no	—
637	C₄×C₁₃	#525	1	4	yes	—
638	C₄×C₁₃	D₄×Q₈	1	4	yes	—
639	C₂²×Q₈	—	2	4	no	—
640	C₂²×Q₈	—	2	4	no	—
641	C₂²×Q₈	—	2	4	no	—
642	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
643	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
644	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
645	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
646	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
647	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
648	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
649	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
650	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
651	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
652	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
653	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
654	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
655	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
656	C₄⋊Q₈	—	2	4	no	—
657	C₄⋊Q₈	—	2	4	no	—
658	C₄⋊Q₈	—	2	4	no	—
659	#125	—	2	8	no	—
660	C₂²⋊Q₈	—	2	4	no	—
661	C₂²⋊Q₈	—	2	4	no	—
662	C₂²⋊Q₈	—	2	4	no	—
663	C₂²⋊Q₈	—	2	4	no	—
664	C₂²⋊Q₈	—	2	8	no	—
665	C₂²⋊Q₈	—	2	8	no	—
666	C₄×Q₈	—	2	4	no	—
667	C₄×Q₈	—	2	8	no	—
668	C₄×Q₈	—	2	4	no	—
669	C₄×Q₈	—	2	4	no	—
670	C₄×Q₈	—	2	8	no	—
671	C₄×Q₈	—	2	8	no	—
672	C₄×Q₈	—	2	4	no	—
673	C₄×Q₈	D₄×C₁₃	1	8	yes	complemented
674	C₄×D₄	—	2	4	no	—
675	C₄×D₄	—	2	4	no	—
676	C₄×D₄	Q₈×C₁₃	1	8	yes	complemented
677	#117	—	2	8	no	—
678	C₂×C₄⋊C₄	—	2	8	no	—
679	C₂×C₄⋊C₄	—	2	4	no	—
680	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
682	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
683	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
684	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
685	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
686	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
687	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
690	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
691	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
692	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
693	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
694	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
695	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
696	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
697	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
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	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	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
710	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
715	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
716	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
718	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×C₄²	—	2	4	no	—
722	C₂×C₄²	—	2	8	no	—
723	C₂×C₄²	—	2	4	no	—
724	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
725	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
726	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
727	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
728	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
730	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
732	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
733	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
734	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
735	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
736	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
737	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
738	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
739	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
740	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
741	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
742	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
743	#95	C₂³×C₁₃	1	2	yes	—
744	#95	C₂³×C₁₃	1	2	yes	—
745	#95	C₂³×C₁₃	1	2	yes	—
746	#95	C₂³×C₁₃	1	2	yes	—
747	#95	C₂³×C₁₃	1	1	yes	characteristic
748	#95	C₂³×C₁₃	1	1	yes	characteristic
749	#95	C₂³×C₁₃	1	1	yes	characteristic
750	#95	C₂³×C₁₃	1	1	yes	characteristic
751	#95	C₂³×C₁₃	1	1	yes	characteristic
752	#95	C₂³×C₁₃	1	1	yes	characteristic
753	#95	C₂³×C₁₃	1	2	yes	—
754	#95	C₂³×C₁₃	1	2	yes	—
755	#95	C₂³×C₁₃	1	2	yes	—
756	#95	C₂³×C₁₃	1	2	yes	—
757	#95	C₂³×C₁₃	1	2	yes	—
758	#95	C₂³×C₁₃	1	2	yes	—
759	#95	C₂³×C₁₃	1	2	yes	—
760	#95	C₂³×C₁₃	1	2	yes	—
761	#95	C₂³×C₁₃	1	2	yes	—
762	#95	C₂³×C₁₃	1	2	yes	—
763	#95	C₂³×C₁₃	1	2	yes	—
764	#95	C₂³×C₁₃	1	2	yes	—
765	#95	C₂³×C₁₃	1	2	yes	—
766	#95	C₂³×C₁₃	1	2	yes	—
767	#95	C₂³×C₁₃	1	2	yes	—
768	C₂×C₁₃	—	2	4	no	—
769	C₂×C₁₃	—	4	2	no	—
770	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
771	C₂×C₁₃	C₂×#533	1	1	yes	characteristic
772	C₂×C₁₃	#3461	1	1	yes	characteristic
773	C₂×C₁₃	C₂×D₄×Q₈	1	1	yes	characteristic
774	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
775	C₂×C₁₃	Q₈×#41	1	1	yes	characteristic
776	C₂×C₁₃	#3482	1	1	yes	characteristic
777	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
778	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
779	C₂×Q₈	—	2	32	no	—
780	C₂×Q₈	—	2	4	no	—
781	C₂×Q₈	—	2	2	no	—
782	C₂×Q₈	—	2	4	no	—
783	C₂×Q₈	—	2	2	no	—
784	C₂×Q₈	—	2	4	no	—
785	C₂×Q₈	—	2	4	no	—
786	C₂×Q₈	—	2	2	no	—
787	C₂×Q₈	—	2	2	no	—
788	C₂×Q₈	—	2	2	no	—
789	C₂×Q₈	—	2	4	no	—
790	C₂×Q₈	—	2	2	no	—
791	C₂×Q₈	—	2	2	no	—
792	C₂×Q₈	—	4	2	no	—
793	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	—
794	C₂×Q₈	C₁₃×#41	1	4	yes	—
795	C₂×D₄	—	2	2	no	—
796	C₂×D₄	—	2	2	no	—
797	C₂×D₄	C₂×Q₈×C₁₃	1	4	yes	—
798	C₂²×C₄	—	2	4	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	4	no	—
801	C₂²×C₄	—	2	2	no	—
802	C₂²×C₄	—	2	2	no	—
803	C₂²×C₄	—	2	4	no	—
804	C₂²×C₄	—	2	2	no	—
805	C₂²×C₄	—	2	2	no	—
806	C₂²×C₄	—	2	2	no	—
807	C₂²×C₄	—	2	2	no	—
808	C₂²×C₄	—	2	4	no	—
809	C₂²×C₄	—	2	2	no	—
810	C₂²×C₄	—	2	4	no	—
811	C₂²×C₄	—	2	2	no	—
812	C₂²×C₄	—	2	2	no	—
813	C₂²×C₄	—	2	2	no	—
814	C₂²×C₄	—	2	2	no	—
815	C₂²×C₄	—	2	2	no	—
816	C₂²×C₄	—	4	1	no	—
817	C₂²×C₄	—	4	1	no	—
818	C₂²×C₄	—	4	2	no	—
819	C₂²×C₄	C₂×Q₈×C₁₃	1	4	yes	—
820	C₂²×C₄	C₂×Q₈×C₁₃	1	4	yes	complemented
821	C₂²×C₄	C₁₃×#41	1	4	yes	—
822	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
823	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
824	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
825	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
826	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
827	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
828	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
829	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
830	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
831	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
833	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
835	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
836	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
837	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
838	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
839	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
840	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
841	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
842	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
843	C₄⋊C₄	—	2	4	no	—
844	C₄⋊C₄	—	2	4	no	—
845	C₄⋊C₄	—	2	4	no	—
846	C₄⋊C₄	—	2	4	no	—
847	C₄⋊C₄	—	2	2	no	—
848	C₄⋊C₄	—	2	4	no	—
849	C₄⋊C₄	—	2	4	no	—
850	C₄⋊C₄	—	2	4	no	—
851	C₄⋊C₄	—	2	4	no	—
852	C₄⋊C₄	—	2	4	no	—
853	C₄⋊C₄	—	2	4	no	—
854	C₄⋊C₄	—	2	2	no	—
855	C₄⋊C₄	—	2	2	no	—
856	C₄⋊C₄	—	2	2	no	—
857	C₄⋊C₄	—	2	4	no	—
858	C₄⋊C₄	—	2	2	no	—
859	C₄⋊C₄	—	2	2	no	—
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	4	no	—
865	C₄⋊C₄	—	2	4	no	—
866	C₄⋊C₄	—	4	2	no	—
867	C₄⋊C₄	—	4	2	no	—
868	C₄⋊C₄	—	4	2	no	—
869	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
870	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
871	C₄⋊C₄	C₂×Q₈×C₁₃	1	4	yes	complemented
872	C₂²⋊C₄	—	2	2	no	—
873	C₂²⋊C₄	—	2	4	no	—
874	C₂²⋊C₄	—	2	4	no	—
875	C₂²⋊C₄	—	2	4	no	—
876	C₂²⋊C₄	—	2	4	no	—
877	C₂²⋊C₄	—	2	2	no	—
878	C₂²⋊C₄	—	2	2	no	—
879	C₂²⋊C₄	—	2	4	no	—
880	C₂²⋊C₄	—	4	2	no	—
881	C₂²⋊C₄	C₂×Q₈×C₁₃	1	4	yes	—
882	C₂²⋊C₄	C₂×Q₈×C₁₃	1	4	yes	complemented
883	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
884	C₄²	—	2	2	no	—
885	C₄²	—	2	4	no	—
886	C₄²	—	2	4	no	—
887	C₄²	—	2	2	no	—
888	C₄²	—	2	2	no	—
889	C₄²	—	2	4	no	—
890	C₄²	—	2	2	no	—
891	C₄²	—	2	2	no	—
892	C₄²	—	2	2	no	—
893	C₄²	—	2	4	no	—
894	C₄²	—	2	2	no	—
895	C₄²	—	2	2	no	—
896	C₄²	—	2	2	no	—
897	C₄²	—	2	2	no	—
898	C₄²	—	2	4	no	—
899	C₄²	—	4	1	no	—
900	C₄²	C₂×D₄×C₁₃	1	4	yes	—
901	C₄²	C₂×D₄×C₁₃	1	8	yes	—
902	C₄²	C₂×Q₈×C₁₃	1	4	yes	complemented
903	C₁₃	#34691	1	1	yes	characteristic, direct product factor, Sylow
904	C₂³	—	2	1	no	—
905	C₂³	—	2	1	no	—
906	C₂³	—	2	1	no	—
907	C₂³	—	2	1	no	—
908	C₂³	—	2	1	no	—
909	C₂³	—	2	1	no	—
910	C₂³	—	2	1	no	—
911	C₂³	—	2	1	no	—
912	C₂³	—	2	1	no	—
913	C₂³	—	2	1	no	—
914	C₂³	C₂²×Q₈×C₁₃	1	2	yes	—
915	C₂³	C₂²×Q₈×C₁₃	1	2	yes	—
916	C₂³	C₂×C₁₃×#41	1	2	yes	—
917	C₂³	C₂×C₁₃×#41	1	2	yes	—
918	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
919	Q₈	—	2	16	no	—
920	Q₈	—	2	8	no	—
921	Q₈	—	2	8	no	—
922	Q₈	—	4	8	no	—
923	Q₈	—	4	4	no	—
924	D₄	—	2	8	no	—
925	C₂×C₄	—	2	16	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	1	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	1	no	—
948	C₂×C₄	—	2	8	no	—
949	C₂×C₄	—	2	8	no	—
950	C₂×C₄	—	2	8	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	1	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	2	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	4	4	no	—
976	C₂×C₄	—	4	4	no	—
977	C₂×C₄	—	4	8	no	—
978	C₂×C₄	—	4	4	no	—
979	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
980	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
981	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
982	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
983	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
984	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
985	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
986	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
987	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
988	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
989	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
990	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
991	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
992	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
993	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
994	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
995	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	2	2	no	—
999	C₂²	—	2	2	no	—
1000	C₂²	—	2	2	no	—
1001	C₂²	—	2	2	no	—
1002	C₂²	—	2	2	no	—
1003	C₂²	—	2	2	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	4	1	no	—
1006	C₂²	—	4	1	no	—
1007	C₂²	—	4	1	no	—
1008	C₂²	—	4	1	no	—
1009	C₂²	C₁₃×#533	1	4	yes	complemented
1010	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1011	C₂²	C₂³×Q₈×C₁₃	1	1	yes	characteristic
1012	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1013	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1014	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1015	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1016	C₂²	C₁₃×#585	1	1	yes	characteristic
1017	C₄	—	2	4	no	—
1018	C₄	—	2	4	no	—
1019	C₄	—	2	2	no	—
1020	C₄	—	2	2	no	—
1021	C₄	—	2	2	no	—
1022	C₄	—	2	2	no	—
1023	C₄	—	2	2	no	—
1024	C₄	—	2	4	no	—
1025	C₄	—	2	2	no	—
1026	C₄	—	2	2	no	—
1027	C₄	—	2	2	no	—
1028	C₄	—	4	1	no	—
1029	C₄	—	4	2	no	—
1030	C₄	—	4	1	no	—
1031	C₄	—	4	2	no	—
1032	C₄	—	4	1	no	—
1033	C₄	—	4	2	no	—
1034	C₄	—	4	2	no	—
1035	C₄	—	4	2	no	—
1036	C₄	C₁₃×#525	1	4	yes	—
1037	C₄	D₄×Q₈×C₁₃	1	4	yes	—
1038	C₂	—	2	4	no	—
1039	C₂	—	4	2	no	—
1040	C₂	C₂×C₁₃×#525	1	1	yes	characteristic
1041	C₂	C₂×C₁₃×#533	1	1	yes	characteristic
1042	C₂	C₁₃×#3461	1	1	yes	characteristic
1043	C₂	C₂×D₄×Q₈×C₁₃	1	1	yes	characteristic
1044	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1045	C₂	Q₈×C₁₃×#41	1	1	yes	characteristic
1046	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	C₂²×D₄×C₁₃	C₂³
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. C₂²×C₄×Q₈×C₁₃	C₂	semidirect
3. C₁₃×#2473	C₂	semidirect
4. C₁₃×#2465	C₂	semidirect
5. C₁₃×#2462	C₂	semidirect
6. C₁₃×#2451	C₂	semidirect
8. C₁₃×#2446	C₂	semidirect
9. C₁₃×#2440	C₂	semidirect
10. C₁₃×#2434	C₂	semidirect
11. C₁₃×#2429	C₂	semidirect
12. C₁₃×#2423	C₂	semidirect
15. C₁₃×#2399	C₂	semidirect
16. C₁₃×#2396	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×C₂²⋊Q₈	C₂	semidirect
21. C₁₃×#2295	C₂	semidirect
159. C₄×Q₈×C₁₃	D₄	semidirect
162. C₄×D₄×C₁₃	Q₈	semidirect
254. #34691	C₁₃	direct (N × H)
298. C₂²×C₄×C₁₃	C₂×Q₈	semidirect
349. C₁₃×C₄⋊C₄	C₂×Q₈	semidirect
360. C₁₃×C₂²⋊C₄	C₂×Q₈	semidirect
380. C₄²×C₁₃	C₂×Q₈	semidirect
381. C₂×#533	C₂×C₁₃	semidirect
382. C₂²×C₄×Q₈	C₂×C₁₃	semidirect
383. #2473	C₂×C₁₃	semidirect
384. #2465	C₂×C₁₃	semidirect
385. #2462	C₂×C₁₃	semidirect
386. #2451	C₂×C₁₃	semidirect
388. #2446	C₂×C₁₃	semidirect
389. #2440	C₂×C₁₃	semidirect
390. #2434	C₂×C₁₃	semidirect
391. #2429	C₂×C₁₃	semidirect
392. #2423	C₂×C₁₃	semidirect
395. #2399	C₂×C₁₃	semidirect
396. #2396	C₂×C₁₃	semidirect
397. C₄×C₄⋊Q₈	C₂×C₁₃	semidirect
398. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
399. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
400. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
401. #2295	C₂×C₁₃	semidirect
610. C₂²×C₁₃	#533	semidirect
673. C₄×Q₈	D₄×C₁₃	semidirect
676. C₄×D₄	Q₈×C₁₃	semidirect
820. C₂²×C₄	C₂×Q₈×C₁₃	semidirect
871. C₄⋊C₄	C₂×Q₈×C₁₃	semidirect
882. C₂²⋊C₄	C₂×Q₈×C₁₃	semidirect
902. C₄²	C₂×Q₈×C₁₃	semidirect
903. C₁₃	#34691	direct (N × H)
1009. C₂²	C₁₃×#533	semidirect

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
C₂²×C₄×Q₈×C₁₃	2
C₁₃×#2473	2
C₁₃×#2465	2
C₁₃×#2462	2
C₁₃×#2451	2
C₁₃×#2449	2
C₁₃×#2446	2
C₁₃×#2440	2
C₁₃×#2434	2
C₁₃×#2429	2
C₁₃×#2423	2
C₁₃×#2417	2
C₁₃×#2409	2
C₁₃×#2399	2
C₁₃×#2396	2
C₄×C₁₃×C₄⋊Q₈	2
C₄×C₁₃×C₂²⋊Q₈	2
C₁₃×#2295	2
C₁₃×#2290	2
C₄²×D₄×C₁₃	2
#34691	13

Subgroups — C13×#34691 #15721030

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34691 #15721030