Subgroups — C₁₃×#34406 #15720745

Order 3328.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1060 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#535	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2380	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2379	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2377	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2364	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2358	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2358	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2343	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2339	C₂	1	2	yes	maximal, complemented
12	C₁₃×#2337	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2333	C₂	1	2	yes	maximal, complemented
14	C₁₃×#2328	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2325	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2308	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₁₃×#120	C₂	1	2	yes	maximal, complemented
19	C₂×C₁₃×#386	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
21	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
22	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
23	C₁₃×#535	C₄	1	16	yes	complemented
24	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#121	C₂²	1	2	yes	—
29	C₂×C₁₃×#121	C₂²	1	2	yes	—
30	C₂×C₁₃×#120	C₂²	1	2	yes	—
31	C₂×C₁₃×#120	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
33	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
35	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
36	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
37	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
38	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
39	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
40	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
41	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₁₃×#391	C₂²	1	2	yes	complemented
44	C₁₃×#391	C₂²	1	2	yes	complemented
45	C₁₃×#390	C₂²	1	2	yes	complemented
46	C₁₃×#390	C₂²	1	2	yes	complemented
47	C₁₃×#390	C₂²	1	2	yes	complemented
48	C₁₃×#390	C₂²	1	2	yes	complemented
49	C₁₃×#388	C₂²	1	2	yes	complemented
50	C₁₃×#388	C₂²	1	2	yes	complemented
51	C₁₃×#388	C₂²	1	2	yes	complemented
52	C₁₃×#388	C₂²	1	2	yes	complemented
53	C₁₃×#388	C₂²	1	2	yes	complemented
54	C₁₃×#388	C₂²	1	2	yes	complemented
55	C₁₃×#388	C₂²	1	2	yes	complemented
56	C₁₃×#388	C₂²	1	2	yes	complemented
57	C₁₃×#387	C₂²	1	2	yes	complemented
58	C₁₃×#387	C₂²	1	2	yes	complemented
59	C₁₃×#387	C₂²	1	2	yes	complemented
60	C₁₃×#387	C₂²	1	2	yes	complemented
61	C₁₃×#386	C₂²	1	2	yes	—
62	C₁₃×#386	C₂²	1	2	yes	—
63	C₁₃×#386	C₂²	1	1	yes	characteristic
64	C₁₃×#386	C₂²	1	1	yes	characteristic
65	C₁₃×#386	C₂²	1	1	yes	characteristic
66	C₁₃×#386	C₂²	1	1	yes	characteristic
67	C₁₃×#386	C₂²	1	2	yes	—
68	C₁₃×#386	C₂²	1	1	yes	characteristic
69	C₁₃×#386	C₂²	1	2	yes	—
70	C₁₃×#386	C₂²	1	1	yes	characteristic
71	C₁₃×#386	C₂²	1	2	yes	—
72	C₁₃×#386	C₂²	1	1	yes	characteristic
73	C₁₃×#386	C₂²	1	1	yes	characteristic
74	C₁₃×#386	C₂²	1	2	yes	—
75	C₁₃×#386	C₂²	1	2	yes	complemented
76	C₁₃×#386	C₂²	1	2	yes	complemented
77	C₁₃×#386	C₂²	1	2	yes	complemented
78	C₁₃×#386	C₂²	1	2	yes	complemented
79	C₁₃×#386	C₂²	1	2	yes	complemented
80	C₁₃×#386	C₂²	1	2	yes	complemented
81	C₁₃×#386	C₂²	1	2	yes	complemented
82	C₁₃×#386	C₂²	1	2	yes	complemented
83	C₁₃×#386	C₂²	1	2	yes	complemented
84	C₁₃×#386	C₂²	1	2	yes	complemented
85	C₁₃×#385	C₂²	1	2	yes	—
86	C₁₃×#385	C₂²	1	2	yes	—
87	C₁₃×#385	C₂²	1	2	yes	complemented
88	C₁₃×#385	C₂²	1	2	yes	complemented
89	C₁₃×#385	C₂²	1	2	yes	complemented
90	C₁₃×#385	C₂²	1	2	yes	complemented
91	C₁₃×#383	C₂²	1	2	yes	complemented
92	C₁₃×#382	C₂²	1	2	yes	complemented
93	C₁₃×#381	C₂²	1	2	yes	—
94	C₁₃×#381	C₂²	1	2	yes	complemented
95	C₁₃×#380	C₂²	1	2	yes	complemented
96	C₁₃×#379	C₂²	1	2	yes	—
97	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
98	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
99	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
101	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
102	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
103	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
104	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
105	C₁₃×#376	C₂²	1	2	yes	complemented
106	C₂×C₁₃×#95	C₂²	1	2	yes	—
107	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
108	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
109	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
110	C₂×C₁₃×#41	—	4	2	no	—
111	C₂×C₁₃×#41	—	4	2	no	—
112	C₂×C₁₃×#41	C₂×C₄	1	8	yes	complemented
113	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
114	C₂²×D₄×C₁₃	—	4	2	no	—
115	C₂²×D₄×C₁₃	—	4	2	no	—
116	C₂²×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
117	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
119	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
120	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
121	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
122	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
123	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
124	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₃	—	4	4	no	—
128	C₂³×C₄×C₁₃	—	4	2	no	—
129	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
135	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
137	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
141	C₁₃×#127	C₂×C₄	1	8	yes	complemented
142	C₁₃×#127	C₂×C₄	1	8	yes	complemented
143	C₁₃×#124	C₂×C₄	1	8	yes	complemented
144	C₁₃×#124	C₂×C₄	1	8	yes	complemented
145	C₁₃×#121	C₂×C₄	1	16	yes	complemented
146	C₁₃×#121	C₂×C₄	1	16	yes	complemented
147	C₁₃×#120	C₂×C₄	1	16	yes	complemented
148	C₁₃×#120	C₂×C₄	1	16	yes	complemented
149	C₄×D₄×C₁₃	—	4	4	no	—
150	C₄×D₄×C₁₃	—	4	4	no	—
151	C₄×D₄×C₁₃	—	4	4	no	—
152	C₄×D₄×C₁₃	—	4	4	no	—
153	C₄×D₄×C₁₃	—	4	4	no	—
154	C₄×D₄×C₁₃	—	4	4	no	—
155	C₁₃×#117	C₂×C₄	1	8	yes	complemented
156	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
158	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
164	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
165	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
166	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
167	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
188	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
189	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
196	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
197	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
198	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
199	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
202	C₁₃×#95	C₂³	1	2	yes	—
203	C₁₃×#95	C₂³	1	2	yes	—
204	C₁₃×#95	C₂³	1	2	yes	—
205	C₁₃×#95	C₂³	1	2	yes	—
206	C₁₃×#95	C₂³	1	2	yes	—
207	C₁₃×#95	C₂³	1	2	yes	—
208	C₁₃×#95	C₂³	1	2	yes	—
209	C₁₃×#95	C₂³	1	2	yes	—
210	C₁₃×#95	C₂³	1	2	yes	—
211	C₁₃×#95	C₂³	1	2	yes	—
212	C₁₃×#95	C₂³	1	2	yes	—
213	C₁₃×#95	C₂³	1	2	yes	—
214	C₁₃×#95	C₂³	1	2	yes	—
215	C₁₃×#95	C₂³	1	2	yes	—
216	C₁₃×#95	C₂³	1	2	yes	—
217	C₁₃×#95	C₂³	1	2	yes	—
218	C₁₃×#95	C₂³	1	2	yes	—
219	C₁₃×#95	C₂³	1	2	yes	—
220	C₁₃×#95	C₂³	1	2	yes	—
221	C₁₃×#95	C₂³	1	2	yes	—
222	#34406	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
223	C₂⁴×C₁₃	—	2	2	no	—
224	C₂⁴×C₁₃	—	2	2	no	—
225	C₂⁴×C₁₃	—	2	2	no	—
226	C₂⁴×C₁₃	—	2	2	no	—
227	C₂⁴×C₁₃	—	4	2	no	—
228	C₂⁴×C₁₃	—	4	2	no	—
229	C₂⁴×C₁₃	—	4	2	no	—
230	C₂⁴×C₁₃	—	4	2	no	—
231	C₂⁴×C₁₃	C₂²×C₄	1	4	yes	—
232	C₂⁴×C₁₃	C₂²×C₄	1	4	yes	—
233	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
234	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
235	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
236	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
237	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
238	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
239	C₁₃×#41	—	4	16	no	—
240	C₂×Q₈×C₁₃	—	4	1	no	—
241	C₂×Q₈×C₁₃	—	4	1	no	—
242	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	complemented
243	C₂×D₄×C₁₃	—	2	4	no	—
244	C₂×D₄×C₁₃	—	2	4	no	—
245	C₂×D₄×C₁₃	—	4	2	no	—
246	C₂×D₄×C₁₃	—	4	2	no	—
247	C₂×D₄×C₁₃	—	4	2	no	—
248	C₂×D₄×C₁₃	—	4	2	no	—
249	C₂×D₄×C₁₃	—	4	16	no	—
250	C₂×D₄×C₁₃	—	4	1	no	—
251	C₂×D₄×C₁₃	—	4	1	no	—
252	C₂×D₄×C₁₃	—	4	1	no	—
253	C₂×D₄×C₁₃	—	4	1	no	—
254	C₂×D₄×C₁₃	—	4	1	no	—
255	C₂×D₄×C₁₃	—	4	1	no	—
256	C₂×D₄×C₁₃	—	4	1	no	—
257	C₂×D₄×C₁₃	—	4	1	no	—
258	C₂×D₄×C₁₃	—	4	2	no	—
259	C₂×D₄×C₁₃	—	4	2	no	—
260	C₂×D₄×C₁₃	—	4	2	no	—
261	C₂×D₄×C₁₃	—	4	2	no	—
262	C₂×D₄×C₁₃	—	4	1	no	—
263	C₂×D₄×C₁₃	—	4	1	no	—
264	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
265	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
266	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
267	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
268	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
269	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
270	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
271	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
272	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
273	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	complemented
274	C₂²×C₄×C₁₃	—	2	2	no	—
275	C₂²×C₄×C₁₃	—	2	2	no	—
276	C₂²×C₄×C₁₃	—	2	4	no	—
277	C₂²×C₄×C₁₃	—	2	4	no	—
278	C₂²×C₄×C₁₃	—	2	4	no	—
279	C₂²×C₄×C₁₃	—	2	4	no	—
280	C₂²×C₄×C₁₃	—	2	4	no	—
281	C₂²×C₄×C₁₃	—	2	4	no	—
282	C₂²×C₄×C₁₃	—	4	1	no	—
283	C₂²×C₄×C₁₃	—	4	2	no	—
284	C₂²×C₄×C₁₃	—	4	2	no	—
285	C₂²×C₄×C₁₃	—	4	2	no	—
286	C₂²×C₄×C₁₃	—	4	2	no	—
287	C₂²×C₄×C₁₃	—	4	1	no	—
288	C₂²×C₄×C₁₃	—	4	2	no	—
289	C₂²×C₄×C₁₃	—	4	2	no	—
290	C₂²×C₄×C₁₃	—	4	1	no	—
291	C₂²×C₄×C₁₃	—	4	2	no	—
292	C₂²×C₄×C₁₃	—	4	2	no	—
293	C₂²×C₄×C₁₃	—	4	1	no	—
294	C₂²×C₄×C₁₃	—	4	2	no	—
295	C₂²×C₄×C₁₃	—	4	2	no	—
296	C₂²×C₄×C₁₃	—	4	2	no	—
297	C₂²×C₄×C₁₃	—	4	2	no	—
298	C₂²×C₄×C₁₃	—	4	2	no	—
299	C₂²×C₄×C₁₃	—	4	2	no	—
300	C₂²×C₄×C₁₃	—	4	2	no	—
301	C₂²×C₄×C₁₃	—	4	2	no	—
302	C₂²×C₄×C₁₃	—	4	2	no	—
303	C₂²×C₄×C₁₃	—	4	2	no	—
304	C₂²×C₄×C₁₃	—	4	16	no	—
305	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
306	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	complemented
307	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
312	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
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	2	yes	—
318	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
320	C₁₃×C₄⋊C₄	—	2	4	no	—
321	C₁₃×C₄⋊C₄	—	4	2	no	—
322	C₁₃×C₄⋊C₄	—	4	2	no	—
323	C₁₃×C₄⋊C₄	—	4	2	no	—
324	C₁₃×C₄⋊C₄	—	4	2	no	—
325	C₁₃×C₄⋊C₄	—	4	2	no	—
326	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
327	C₁₃×C₂²⋊C₄	—	2	4	no	—
328	C₁₃×C₂²⋊C₄	—	2	4	no	—
329	C₁₃×C₂²⋊C₄	—	2	4	no	—
330	C₁₃×C₂²⋊C₄	—	2	4	no	—
331	C₁₃×C₂²⋊C₄	—	2	4	no	—
332	C₁₃×C₂²⋊C₄	—	4	1	no	—
333	C₁₃×C₂²⋊C₄	—	4	2	no	—
334	C₁₃×C₂²⋊C₄	—	4	2	no	—
335	C₁₃×C₂²⋊C₄	—	4	1	no	—
336	C₁₃×C₂²⋊C₄	—	4	2	no	—
337	C₁₃×C₂²⋊C₄	—	4	1	no	—
338	C₁₃×C₂²⋊C₄	—	4	2	no	—
339	C₁₃×C₂²⋊C₄	—	4	1	no	—
340	C₁₃×C₂²⋊C₄	—	4	2	no	—
341	C₁₃×C₂²⋊C₄	—	4	2	no	—
342	C₁₃×C₂²⋊C₄	—	4	2	no	—
343	C₁₃×C₂²⋊C₄	—	4	2	no	—
344	C₁₃×C₂²⋊C₄	—	4	2	no	—
345	C₁₃×C₂²⋊C₄	—	4	2	no	—
346	C₁₃×C₂²⋊C₄	—	4	2	no	—
347	C₁₃×C₂²⋊C₄	—	4	2	no	—
348	C₁₃×C₂²⋊C₄	—	4	2	no	—
349	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
350	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
351	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
352	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
353	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
354	C₄²×C₁₃	—	2	4	no	—
355	C₄²×C₁₃	—	4	2	no	—
356	C₄²×C₁₃	—	4	2	no	—
357	C₄²×C₁₃	—	4	2	no	—
358	C₄²×C₁₃	—	4	2	no	—
359	C₄²×C₁₃	—	4	2	no	—
360	C₄²×C₁₃	C₂²×C₄	1	4	yes	complemented
361	C₄²×C₁₃	C₂²×C₄	1	4	yes	complemented
362	C₂×#535	C₂×C₁₃	1	1	yes	characteristic
363	#2380	C₂×C₁₃	1	1	yes	characteristic, complemented
364	#2379	C₂×C₁₃	1	1	yes	characteristic, complemented
365	#2377	C₂×C₁₃	1	2	yes	complemented
366	#2372	C₂×C₁₃	1	1	yes	characteristic, complemented
367	#2366	C₂×C₁₃	1	1	yes	characteristic, complemented
368	#2364	C₂×C₁₃	1	2	yes	complemented
369	#2358	C₂×C₁₃	1	2	yes	complemented
370	#2358	C₂×C₁₃	1	2	yes	complemented
371	#2343	C₂×C₁₃	1	2	yes	complemented
372	#2339	C₂×C₁₃	1	2	yes	complemented
373	#2337	C₂×C₁₃	1	2	yes	complemented
374	#2333	C₂×C₁₃	1	2	yes	complemented
375	#2328	C₂×C₁₃	1	2	yes	complemented
376	#2325	C₂×C₁₃	1	2	yes	complemented
377	#2321	C₂×C₁₃	1	2	yes	complemented
378	#2308	C₂×C₁₃	1	1	yes	characteristic, complemented
379	C₄×#120	C₂×C₁₃	1	2	yes	complemented
380	C₂×#386	C₂×C₁₃	1	1	yes	characteristic, complemented
381	C₂³×C₁₃	—	2	2	no	—
382	C₂³×C₁₃	—	2	2	no	—
383	C₂³×C₁₃	—	2	8	no	—
384	C₂³×C₁₃	—	2	2	no	—
385	C₂³×C₁₃	—	2	2	no	—
386	C₂³×C₁₃	—	2	2	no	—
387	C₂³×C₁₃	—	2	2	no	—
388	C₂³×C₁₃	—	2	1	no	—
389	C₂³×C₁₃	—	2	1	no	—
390	C₂³×C₁₃	—	2	1	no	—
391	C₂³×C₁₃	—	2	1	no	—
392	C₂³×C₁₃	—	2	2	no	—
393	C₂³×C₁₃	—	2	2	no	—
394	C₂³×C₁₃	—	2	2	no	—
395	C₂³×C₁₃	—	2	2	no	—
396	C₂³×C₁₃	—	2	1	no	—
397	C₂³×C₁₃	—	2	1	no	—
398	C₂³×C₁₃	—	2	1	no	—
399	C₂³×C₁₃	—	2	1	no	—
400	C₂³×C₁₃	—	2	2	no	—
401	C₂³×C₁₃	—	2	2	no	—
402	C₂³×C₁₃	—	2	2	no	—
403	C₂³×C₁₃	—	2	2	no	—
404	C₂³×C₁₃	—	2	2	no	—
405	C₂³×C₁₃	—	2	2	no	—
406	C₂³×C₁₃	—	2	8	no	—
407	C₂³×C₁₃	—	4	8	no	—
408	C₂³×C₁₃	—	4	8	no	—
409	C₂³×C₁₃	—	4	4	no	—
410	C₂³×C₁₃	—	4	4	no	—
411	C₂³×C₁₃	—	4	8	no	—
412	C₂³×C₁₃	—	8	2	no	—
413	C₂³×C₁₃	—	8	2	no	—
414	C₂³×C₁₃	—	8	4	no	—
415	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
416	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
417	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
418	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
419	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
420	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
421	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
422	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
423	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
424	Q₈×C₁₃	—	4	4	no	—
425	D₄×C₁₃	—	2	16	no	—
426	D₄×C₁₃	—	4	4	no	—
427	D₄×C₁₃	—	4	4	no	—
428	D₄×C₁₃	—	4	4	no	—
429	D₄×C₁₃	—	4	4	no	—
430	D₄×C₁₃	—	4	8	no	—
431	D₄×C₁₃	—	4	8	no	—
432	D₄×C₁₃	—	4	8	no	—
433	D₄×C₁₃	—	4	8	no	—
434	D₄×C₁₃	—	4	4	no	—
435	C₂×C₄×C₁₃	—	2	8	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	2	no	—
441	C₂×C₄×C₁₃	—	2	2	no	—
442	C₂×C₄×C₁₃	—	2	1	no	—
443	C₂×C₄×C₁₃	—	2	1	no	—
444	C₂×C₄×C₁₃	—	2	1	no	—
445	C₂×C₄×C₁₃	—	2	1	no	—
446	C₂×C₄×C₁₃	—	2	2	no	—
447	C₂×C₄×C₁₃	—	2	2	no	—
448	C₂×C₄×C₁₃	—	2	2	no	—
449	C₂×C₄×C₁₃	—	2	2	no	—
450	C₂×C₄×C₁₃	—	2	2	no	—
451	C₂×C₄×C₁₃	—	2	2	no	—
452	C₂×C₄×C₁₃	—	2	2	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	2	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	2	no	—
461	C₂×C₄×C₁₃	—	2	2	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	2	no	—
468	C₂×C₄×C₁₃	—	2	2	no	—
469	C₂×C₄×C₁₃	—	4	8	no	—
470	C₂×C₄×C₁₃	—	4	4	no	—
471	C₂×C₄×C₁₃	—	4	8	no	—
472	C₂×C₄×C₁₃	—	4	8	no	—
473	C₂×C₄×C₁₃	—	4	4	no	—
474	C₂×C₄×C₁₃	—	8	4	no	—
475	C₂×C₄×C₁₃	—	8	4	no	—
476	C₂×C₄×C₁₃	—	8	2	no	—
477	C₂×C₄×C₁₃	—	8	2	no	—
478	C₂×C₄×C₁₃	—	8	4	no	—
479	C₂×C₄×C₁₃	—	8	4	no	—
480	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
481	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
482	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
483	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
484	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
485	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
486	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
487	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
488	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
489	#535	C₄×C₁₃	1	16	yes	complemented
490	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
491	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
492	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
493	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
494	C₂×#121	C₂²×C₁₃	1	2	yes	—
495	C₂×#121	C₂²×C₁₃	1	2	yes	—
496	C₂×#120	C₂²×C₁₃	1	2	yes	—
497	C₂×#120	C₂²×C₁₃	1	2	yes	—
498	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
499	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
500	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
501	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
502	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
503	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
504	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
505	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
506	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
507	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
508	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
509	#391	C₂²×C₁₃	1	2	yes	complemented
510	#391	C₂²×C₁₃	1	2	yes	complemented
511	#390	C₂²×C₁₃	1	2	yes	complemented
512	#390	C₂²×C₁₃	1	2	yes	complemented
513	#390	C₂²×C₁₃	1	2	yes	complemented
514	#390	C₂²×C₁₃	1	2	yes	complemented
515	#388	C₂²×C₁₃	1	2	yes	complemented
516	#388	C₂²×C₁₃	1	2	yes	complemented
517	#388	C₂²×C₁₃	1	2	yes	complemented
518	#388	C₂²×C₁₃	1	2	yes	complemented
519	#388	C₂²×C₁₃	1	2	yes	complemented
520	#388	C₂²×C₁₃	1	2	yes	complemented
521	#388	C₂²×C₁₃	1	2	yes	complemented
522	#388	C₂²×C₁₃	1	2	yes	complemented
523	#387	C₂²×C₁₃	1	2	yes	complemented
524	#387	C₂²×C₁₃	1	2	yes	complemented
525	#387	C₂²×C₁₃	1	2	yes	complemented
526	#387	C₂²×C₁₃	1	2	yes	complemented
527	#386	C₂²×C₁₃	1	1	yes	characteristic
528	#386	C₂²×C₁₃	1	2	yes	—
529	#386	C₂²×C₁₃	1	1	yes	characteristic
530	#386	C₂²×C₁₃	1	2	yes	—
531	#386	C₂²×C₁₃	1	1	yes	characteristic
532	#386	C₂²×C₁₃	1	1	yes	characteristic
533	#386	C₂²×C₁₃	1	2	yes	—
534	#386	C₂²×C₁₃	1	2	yes	—
535	#386	C₂²×C₁₃	1	2	yes	—
536	#386	C₂²×C₁₃	1	2	yes	—
537	#386	C₂²×C₁₃	1	1	yes	characteristic
538	#386	C₂²×C₁₃	1	1	yes	characteristic
539	#386	C₂²×C₁₃	1	1	yes	characteristic
540	#386	C₂²×C₁₃	1	1	yes	characteristic
541	#386	C₂²×C₁₃	1	2	yes	complemented
542	#386	C₂²×C₁₃	1	2	yes	complemented
543	#386	C₂²×C₁₃	1	2	yes	complemented
544	#386	C₂²×C₁₃	1	2	yes	complemented
545	#386	C₂²×C₁₃	1	2	yes	complemented
546	#386	C₂²×C₁₃	1	2	yes	complemented
547	#386	C₂²×C₁₃	1	2	yes	complemented
548	#386	C₂²×C₁₃	1	2	yes	complemented
549	#386	C₂²×C₁₃	1	2	yes	complemented
550	#386	C₂²×C₁₃	1	2	yes	complemented
551	#385	C₂²×C₁₃	1	2	yes	—
552	#385	C₂²×C₁₃	1	2	yes	—
553	#385	C₂²×C₁₃	1	2	yes	complemented
554	#385	C₂²×C₁₃	1	2	yes	complemented
555	#385	C₂²×C₁₃	1	2	yes	complemented
556	#385	C₂²×C₁₃	1	2	yes	complemented
557	#383	C₂²×C₁₃	1	2	yes	complemented
558	#382	C₂²×C₁₃	1	2	yes	complemented
559	#381	C₂²×C₁₃	1	2	yes	—
560	#381	C₂²×C₁₃	1	2	yes	complemented
561	#380	C₂²×C₁₃	1	2	yes	complemented
562	#379	C₂²×C₁₃	1	2	yes	—
563	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
564	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
565	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
566	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
567	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
568	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
569	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
570	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
571	#376	C₂²×C₁₃	1	2	yes	complemented
572	C₂×#95	C₂²×C₁₃	1	2	yes	—
573	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
574	C₂²×C₁₃	—	2	4	no	—
575	C₂²×C₁₃	—	2	2	no	—
576	C₂²×C₁₃	—	2	2	no	—
577	C₂²×C₁₃	—	2	4	no	—
578	C₂²×C₁₃	—	2	4	no	—
579	C₂²×C₁₃	—	2	2	no	—
580	C₂²×C₁₃	—	2	2	no	—
581	C₂²×C₁₃	—	2	2	no	—
582	C₂²×C₁₃	—	2	2	no	—
583	C₂²×C₁₃	—	2	4	no	—
584	C₂²×C₁₃	—	2	4	no	—
585	C₂²×C₁₃	—	2	4	no	—
586	C₂²×C₁₃	—	2	4	no	—
587	C₂²×C₁₃	—	2	4	no	—
588	C₂²×C₁₃	—	2	4	no	—
589	C₂²×C₁₃	—	4	16	no	—
590	C₂²×C₁₃	—	4	1	no	—
591	C₂²×C₁₃	—	4	1	no	—
592	C₂²×C₁₃	—	4	2	no	—
593	C₂²×C₁₃	—	4	1	no	—
594	C₂²×C₁₃	—	4	1	no	—
595	C₂²×C₁₃	—	4	1	no	—
596	C₂²×C₁₃	—	4	2	no	—
597	C₂²×C₁₃	—	4	1	no	—
598	C₂²×C₁₃	—	4	1	no	—
599	C₂²×C₁₃	—	4	1	no	—
600	C₂²×C₁₃	—	4	2	no	—
601	C₂²×C₁₃	—	4	2	no	—
602	C₂²×C₁₃	—	4	2	no	—
603	C₂²×C₁₃	—	4	2	no	—
604	C₂²×C₁₃	—	4	2	no	—
605	C₂²×C₁₃	—	4	2	no	—
606	C₂²×C₁₃	—	8	8	no	—
607	C₂²×C₁₃	#518	1	4	yes	—
608	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
609	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
610	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
611	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
612	C₂²×C₁₃	#585	1	2	yes	—
613	C₄×C₁₃	—	2	2	no	—
614	C₄×C₁₃	—	2	2	no	—
615	C₄×C₁₃	—	2	4	no	—
616	C₄×C₁₃	—	2	4	no	—
617	C₄×C₁₃	—	2	4	no	—
618	C₄×C₁₃	—	2	4	no	—
619	C₄×C₁₃	—	4	2	no	—
620	C₄×C₁₃	—	4	2	no	—
621	C₄×C₁₃	—	4	2	no	—
622	C₄×C₁₃	—	4	2	no	—
623	C₄×C₁₃	—	4	2	no	—
624	C₄×C₁₃	—	4	2	no	—
625	C₄×C₁₃	—	4	2	no	—
626	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
627	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
628	C₂×#41	—	4	2	no	—
629	C₂×#41	—	4	2	no	—
630	C₂×#41	C₂×C₄×C₁₃	1	8	yes	complemented
631	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
632	C₂²×D₄	—	4	2	no	—
633	C₂²×D₄	—	4	2	no	—
634	C₂²×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
635	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
636	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
637	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
638	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
639	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
640	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
641	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
642	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
643	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
644	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
645	C₂³×C₄	—	4	4	no	—
646	C₂³×C₄	—	4	2	no	—
647	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
648	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
649	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
650	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
651	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
652	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
653	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
654	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
655	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
656	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
657	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
658	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
659	#127	C₂×C₄×C₁₃	1	8	yes	complemented
660	#127	C₂×C₄×C₁₃	1	8	yes	complemented
661	#124	C₂×C₄×C₁₃	1	8	yes	complemented
662	#124	C₂×C₄×C₁₃	1	8	yes	complemented
663	#121	C₂×C₄×C₁₃	1	16	yes	complemented
664	#121	C₂×C₄×C₁₃	1	16	yes	complemented
665	#120	C₂×C₄×C₁₃	1	16	yes	complemented
666	#120	C₂×C₄×C₁₃	1	16	yes	complemented
667	C₄×D₄	—	4	4	no	—
668	C₄×D₄	—	4	4	no	—
669	C₄×D₄	—	4	4	no	—
670	C₄×D₄	—	4	4	no	—
671	C₄×D₄	—	4	4	no	—
672	C₄×D₄	—	4	4	no	—
673	#117	C₂×C₄×C₁₃	1	8	yes	complemented
674	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
675	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
676	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
677	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
678	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
679	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
680	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
681	C₂×C₂²⋊C₄	—	4	4	no	—
682	C₂×C₂²⋊C₄	—	4	2	no	—
683	C₂×C₂²⋊C₄	—	4	2	no	—
684	C₂×C₂²⋊C₄	—	4	2	no	—
685	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
687	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
712	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
713	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
714	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
715	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
716	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
717	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
718	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
720	#95	C₂³×C₁₃	1	2	yes	—
721	#95	C₂³×C₁₃	1	2	yes	—
722	#95	C₂³×C₁₃	1	2	yes	—
723	#95	C₂³×C₁₃	1	2	yes	—
724	#95	C₂³×C₁₃	1	2	yes	—
725	#95	C₂³×C₁₃	1	2	yes	—
726	#95	C₂³×C₁₃	1	2	yes	—
727	#95	C₂³×C₁₃	1	2	yes	—
728	#95	C₂³×C₁₃	1	2	yes	—
729	#95	C₂³×C₁₃	1	2	yes	—
730	#95	C₂³×C₁₃	1	2	yes	—
731	#95	C₂³×C₁₃	1	2	yes	—
732	#95	C₂³×C₁₃	1	2	yes	—
733	#95	C₂³×C₁₃	1	2	yes	—
734	#95	C₂³×C₁₃	1	2	yes	—
735	#95	C₂³×C₁₃	1	2	yes	—
736	#95	C₂³×C₁₃	1	2	yes	—
737	#95	C₂³×C₁₃	1	2	yes	—
738	#95	C₂³×C₁₃	1	2	yes	—
739	#95	C₂³×C₁₃	1	2	yes	—
740	C₂×C₁₃	—	2	4	no	—
741	C₂×C₁₃	—	4	4	no	—
742	C₂×C₁₃	—	4	2	no	—
743	C₂×C₁₃	—	4	2	no	—
744	C₂×C₁₃	—	4	2	no	—
745	C₂×C₁₃	—	4	2	no	—
746	C₂×C₁₃	C₂×#518	1	1	yes	characteristic
747	C₂×C₁₃	C₄×H(5,𝔽₂)	1	2	yes	—
748	C₂×C₁₃	#3532	1	1	yes	characteristic
749	C₂×C₁₃	#3533	1	1	yes	characteristic
750	C₂×C₁₃	#3542	1	2	yes	—
751	C₂⁴	—	2	2	no	—
752	C₂⁴	—	2	2	no	—
753	C₂⁴	—	2	2	no	—
754	C₂⁴	—	2	2	no	—
755	C₂⁴	—	4	2	no	—
756	C₂⁴	—	4	2	no	—
757	C₂⁴	—	4	2	no	—
758	C₂⁴	—	4	2	no	—
759	C₂⁴	C₂²×C₄×C₁₃	1	4	yes	—
760	C₂⁴	C₂²×C₄×C₁₃	1	4	yes	—
761	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
762	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
763	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
764	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
765	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
766	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
767	#41	—	4	16	no	—
768	C₂×Q₈	—	4	1	no	—
769	C₂×Q₈	—	4	1	no	—
770	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	complemented
771	C₂×D₄	—	2	4	no	—
772	C₂×D₄	—	2	4	no	—
773	C₂×D₄	—	4	2	no	—
774	C₂×D₄	—	4	2	no	—
775	C₂×D₄	—	4	2	no	—
776	C₂×D₄	—	4	2	no	—
777	C₂×D₄	—	4	16	no	—
778	C₂×D₄	—	4	1	no	—
779	C₂×D₄	—	4	1	no	—
780	C₂×D₄	—	4	1	no	—
781	C₂×D₄	—	4	1	no	—
782	C₂×D₄	—	4	1	no	—
783	C₂×D₄	—	4	1	no	—
784	C₂×D₄	—	4	1	no	—
785	C₂×D₄	—	4	1	no	—
786	C₂×D₄	—	4	1	no	—
787	C₂×D₄	—	4	1	no	—
788	C₂×D₄	—	4	2	no	—
789	C₂×D₄	—	4	2	no	—
790	C₂×D₄	—	4	2	no	—
791	C₂×D₄	—	4	2	no	—
792	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
793	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
794	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
795	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
796	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
797	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
798	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
799	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
800	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
801	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	complemented
802	C₂²×C₄	—	2	2	no	—
803	C₂²×C₄	—	2	2	no	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	2	4	no	—
806	C₂²×C₄	—	2	4	no	—
807	C₂²×C₄	—	2	4	no	—
808	C₂²×C₄	—	2	4	no	—
809	C₂²×C₄	—	2	4	no	—
810	C₂²×C₄	—	4	1	no	—
811	C₂²×C₄	—	4	2	no	—
812	C₂²×C₄	—	4	2	no	—
813	C₂²×C₄	—	4	2	no	—
814	C₂²×C₄	—	4	2	no	—
815	C₂²×C₄	—	4	1	no	—
816	C₂²×C₄	—	4	2	no	—
817	C₂²×C₄	—	4	2	no	—
818	C₂²×C₄	—	4	1	no	—
819	C₂²×C₄	—	4	2	no	—
820	C₂²×C₄	—	4	2	no	—
821	C₂²×C₄	—	4	1	no	—
822	C₂²×C₄	—	4	2	no	—
823	C₂²×C₄	—	4	2	no	—
824	C₂²×C₄	—	4	2	no	—
825	C₂²×C₄	—	4	2	no	—
826	C₂²×C₄	—	4	2	no	—
827	C₂²×C₄	—	4	2	no	—
828	C₂²×C₄	—	4	2	no	—
829	C₂²×C₄	—	4	2	no	—
830	C₂²×C₄	—	4	2	no	—
831	C₂²×C₄	—	4	2	no	—
832	C₂²×C₄	—	4	16	no	—
833	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
834	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
835	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
836	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
837	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
838	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
839	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
840	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
841	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
842	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
843	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
845	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
846	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
847	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
848	C₄⋊C₄	—	2	4	no	—
849	C₄⋊C₄	—	4	2	no	—
850	C₄⋊C₄	—	4	2	no	—
851	C₄⋊C₄	—	4	2	no	—
852	C₄⋊C₄	—	4	2	no	—
853	C₄⋊C₄	—	4	2	no	—
854	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
855	C₂²⋊C₄	—	2	4	no	—
856	C₂²⋊C₄	—	2	4	no	—
857	C₂²⋊C₄	—	2	4	no	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	4	no	—
860	C₂²⋊C₄	—	4	1	no	—
861	C₂²⋊C₄	—	4	2	no	—
862	C₂²⋊C₄	—	4	2	no	—
863	C₂²⋊C₄	—	4	1	no	—
864	C₂²⋊C₄	—	4	2	no	—
865	C₂²⋊C₄	—	4	1	no	—
866	C₂²⋊C₄	—	4	2	no	—
867	C₂²⋊C₄	—	4	1	no	—
868	C₂²⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	—	4	2	no	—
870	C₂²⋊C₄	—	4	2	no	—
871	C₂²⋊C₄	—	4	2	no	—
872	C₂²⋊C₄	—	4	2	no	—
873	C₂²⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	—	4	2	no	—
875	C₂²⋊C₄	—	4	2	no	—
876	C₂²⋊C₄	—	4	2	no	—
877	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
878	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
879	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
880	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
881	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
882	C₄²	—	2	4	no	—
883	C₄²	—	4	2	no	—
884	C₄²	—	4	2	no	—
885	C₄²	—	4	2	no	—
886	C₄²	—	4	2	no	—
887	C₄²	—	4	2	no	—
888	C₄²	C₂²×C₄×C₁₃	1	4	yes	complemented
889	C₄²	C₂²×C₄×C₁₃	1	4	yes	complemented
890	C₁₃	#34406	1	1	yes	characteristic, direct product factor, Sylow
891	C₂³	—	2	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	8	no	—
894	C₂³	—	2	2	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	2	2	no	—
898	C₂³	—	2	1	no	—
899	C₂³	—	2	1	no	—
900	C₂³	—	2	1	no	—
901	C₂³	—	2	1	no	—
902	C₂³	—	2	2	no	—
903	C₂³	—	2	2	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	1	no	—
907	C₂³	—	2	1	no	—
908	C₂³	—	2	1	no	—
909	C₂³	—	2	1	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	2	2	no	—
913	C₂³	—	2	2	no	—
914	C₂³	—	2	2	no	—
915	C₂³	—	2	2	no	—
916	C₂³	—	2	8	no	—
917	C₂³	—	4	8	no	—
918	C₂³	—	4	8	no	—
919	C₂³	—	4	4	no	—
920	C₂³	—	4	4	no	—
921	C₂³	—	4	8	no	—
922	C₂³	—	8	2	no	—
923	C₂³	—	8	2	no	—
924	C₂³	—	8	4	no	—
925	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
926	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
927	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
928	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
929	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
930	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
931	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
932	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
933	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
934	Q₈	—	4	4	no	—
935	D₄	—	2	16	no	—
936	D₄	—	4	4	no	—
937	D₄	—	4	4	no	—
938	D₄	—	4	4	no	—
939	D₄	—	4	4	no	—
940	D₄	—	4	8	no	—
941	D₄	—	4	8	no	—
942	D₄	—	4	8	no	—
943	D₄	—	4	8	no	—
944	D₄	—	4	4	no	—
945	C₂×C₄	—	2	8	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	1	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	1	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	4	8	no	—
980	C₂×C₄	—	4	4	no	—
981	C₂×C₄	—	4	8	no	—
982	C₂×C₄	—	4	8	no	—
983	C₂×C₄	—	4	4	no	—
984	C₂×C₄	—	8	4	no	—
985	C₂×C₄	—	8	4	no	—
986	C₂×C₄	—	8	2	no	—
987	C₂×C₄	—	8	2	no	—
988	C₂×C₄	—	8	4	no	—
989	C₂×C₄	—	8	4	no	—
990	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
991	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
992	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
993	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
994	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
995	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	2	4	no	—
999	C₂²	—	2	4	no	—
1000	C₂²	—	2	4	no	—
1001	C₂²	—	2	2	no	—
1002	C₂²	—	2	2	no	—
1003	C₂²	—	2	2	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	2	4	no	—
1006	C₂²	—	2	4	no	—
1007	C₂²	—	2	4	no	—
1008	C₂²	—	2	4	no	—
1009	C₂²	—	2	4	no	—
1010	C₂²	—	2	4	no	—
1011	C₂²	—	4	16	no	—
1012	C₂²	—	4	1	no	—
1013	C₂²	—	4	1	no	—
1014	C₂²	—	4	2	no	—
1015	C₂²	—	4	1	no	—
1016	C₂²	—	4	1	no	—
1017	C₂²	—	4	1	no	—
1018	C₂²	—	4	2	no	—
1019	C₂²	—	4	1	no	—
1020	C₂²	—	4	1	no	—
1021	C₂²	—	4	1	no	—
1022	C₂²	—	4	2	no	—
1023	C₂²	—	4	2	no	—
1024	C₂²	—	4	2	no	—
1025	C₂²	—	4	2	no	—
1026	C₂²	—	4	2	no	—
1027	C₂²	—	4	2	no	—
1028	C₂²	—	8	8	no	—
1029	C₂²	C₁₃×#518	1	4	yes	—
1030	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1031	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1032	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1033	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1034	C₂²	C₁₃×#585	1	2	yes	—
1035	C₄	—	2	4	no	—
1036	C₄	—	2	2	no	—
1037	C₄	—	2	2	no	—
1038	C₄	—	2	4	no	—
1039	C₄	—	2	4	no	—
1040	C₄	—	2	4	no	—
1041	C₄	—	4	2	no	—
1042	C₄	—	4	2	no	—
1043	C₄	—	4	2	no	—
1044	C₄	—	4	2	no	—
1045	C₄	—	4	2	no	—
1046	C₄	—	4	2	no	—
1047	C₄	—	4	2	no	—
1048	C₂	—	2	4	no	—
1049	C₂	—	4	2	no	—
1050	C₂	—	4	2	no	—
1051	C₂	—	4	2	no	—
1052	C₂	—	4	2	no	—
1053	C₂	—	4	4	no	—
1054	C₂	C₂×C₁₃×#518	1	1	yes	characteristic
1055	C₂	C₄×C₁₃×H(5,𝔽₂)	1	2	yes	—
1056	C₂	C₁₃×#3532	1	1	yes	characteristic
1057	C₂	C₁₃×#3533	1	1	yes	characteristic
1058	C₂	C₁₃×#3542	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#535	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2380	C₂	semidirect
3. C₁₃×#2379	C₂	semidirect
4. C₁₃×#2377	C₂	semidirect
5. C₁₃×#2372	C₂	semidirect
6. C₁₃×#2366	C₂	semidirect
7. C₁₃×#2364	C₂	semidirect
8. C₁₃×#2358	C₂	semidirect
9. C₁₃×#2358	C₂	semidirect
10. C₁₃×#2343	C₂	semidirect
11. C₁₃×#2339	C₂	semidirect
12. C₁₃×#2337	C₂	semidirect
13. C₁₃×#2333	C₂	semidirect
14. C₁₃×#2328	C₂	semidirect
15. C₁₃×#2325	C₂	semidirect
16. C₁₃×#2321	C₂	semidirect
17. C₁₃×#2308	C₂	semidirect
18. C₄×C₁₃×#120	C₂	semidirect
19. C₂×C₁₃×#386	C₂	semidirect
23. C₁₃×#535	C₄	semidirect
34. C₂×C₄×D₄×C₁₃	C₂²	semidirect
35. C₂×C₄×D₄×C₁₃	C₂²	semidirect
36. C₂×C₄×D₄×C₁₃	C₂²	semidirect
37. C₂×C₄×D₄×C₁₃	C₂²	semidirect
43. C₁₃×#391	C₂²	semidirect
44. C₁₃×#391	C₂²	semidirect
45. C₁₃×#390	C₂²	semidirect
46. C₁₃×#390	C₂²	semidirect
47. C₁₃×#390	C₂²	semidirect
48. C₁₃×#390	C₂²	semidirect
49. C₁₃×#388	C₂²	semidirect
50. C₁₃×#388	C₂²	semidirect
51. C₁₃×#388	C₂²	semidirect
52. C₁₃×#388	C₂²	semidirect
53. C₁₃×#388	C₂²	semidirect
54. C₁₃×#388	C₂²	semidirect
55. C₁₃×#388	C₂²	semidirect
56. C₁₃×#388	C₂²	semidirect
57. C₁₃×#387	C₂²	semidirect
58. C₁₃×#387	C₂²	semidirect
59. C₁₃×#387	C₂²	semidirect
60. C₁₃×#387	C₂²	semidirect
75. C₁₃×#386	C₂²	semidirect
76. C₁₃×#386	C₂²	semidirect
77. C₁₃×#386	C₂²	semidirect
78. C₁₃×#386	C₂²	semidirect
79. C₁₃×#386	C₂²	semidirect
80. C₁₃×#386	C₂²	semidirect
81. C₁₃×#386	C₂²	semidirect
82. C₁₃×#386	C₂²	semidirect
83. C₁₃×#386	C₂²	semidirect
84. C₁₃×#386	C₂²	semidirect
87. C₁₃×#385	C₂²	semidirect
88. C₁₃×#385	C₂²	semidirect
89. C₁₃×#385	C₂²	semidirect
90. C₁₃×#385	C₂²	semidirect
91. C₁₃×#383	C₂²	semidirect
92. C₁₃×#382	C₂²	semidirect
94. C₁₃×#381	C₂²	semidirect
95. C₁₃×#380	C₂²	semidirect
97. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
100. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
101. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
102. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
103. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
104. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
105. C₁₃×#376	C₂²	semidirect
107. C₂×C₁₃×#95	C₂²	semidirect
112. C₂×C₁₃×#41	C₂×C₄	semidirect
116. C₂²×D₄×C₁₃	C₂×C₄	semidirect
141. C₁₃×#127	C₂×C₄	semidirect
142. C₁₃×#127	C₂×C₄	semidirect
143. C₁₃×#124	C₂×C₄	semidirect
144. C₁₃×#124	C₂×C₄	semidirect
145. C₁₃×#121	C₂×C₄	semidirect
146. C₁₃×#121	C₂×C₄	semidirect
147. C₁₃×#120	C₂×C₄	semidirect
148. C₁₃×#120	C₂×C₄	semidirect
155. C₁₃×#117	C₂×C₄	semidirect
222. #34406	C₁₃	direct (N × H)
242. C₂×Q₈×C₁₃	C₂²×C₄	semidirect
271. C₂×D₄×C₁₃	C₂²×C₄	semidirect
272. C₂×D₄×C₁₃	C₂²×C₄	semidirect
273. C₂×D₄×C₁₃	C₂²×C₄	semidirect
306. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
326. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
352. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
353. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
360. C₄²×C₁₃	C₂²×C₄	semidirect
361. C₄²×C₁₃	C₂²×C₄	semidirect
363. #2380	C₂×C₁₃	semidirect
364. #2379	C₂×C₁₃	semidirect
365. #2377	C₂×C₁₃	semidirect
366. #2372	C₂×C₁₃	semidirect
367. #2366	C₂×C₁₃	semidirect
368. #2364	C₂×C₁₃	semidirect
369. #2358	C₂×C₁₃	semidirect
370. #2358	C₂×C₁₃	semidirect
371. #2343	C₂×C₁₃	semidirect
372. #2339	C₂×C₁₃	semidirect
373. #2337	C₂×C₁₃	semidirect
374. #2333	C₂×C₁₃	semidirect
375. #2328	C₂×C₁₃	semidirect
376. #2325	C₂×C₁₃	semidirect
377. #2321	C₂×C₁₃	semidirect
378. #2308	C₂×C₁₃	semidirect
379. C₄×#120	C₂×C₁₃	semidirect
380. C₂×#386	C₂×C₁₃	semidirect
489. #535	C₄×C₁₃	semidirect
500. C₂×C₄×D₄	C₂²×C₁₃	semidirect
501. C₂×C₄×D₄	C₂²×C₁₃	semidirect
502. C₂×C₄×D₄	C₂²×C₁₃	semidirect
503. C₂×C₄×D₄	C₂²×C₁₃	semidirect
509. #391	C₂²×C₁₃	semidirect
510. #391	C₂²×C₁₃	semidirect
511. #390	C₂²×C₁₃	semidirect
512. #390	C₂²×C₁₃	semidirect
513. #390	C₂²×C₁₃	semidirect
514. #390	C₂²×C₁₃	semidirect
515. #388	C₂²×C₁₃	semidirect
516. #388	C₂²×C₁₃	semidirect
517. #388	C₂²×C₁₃	semidirect
518. #388	C₂²×C₁₃	semidirect
519. #388	C₂²×C₁₃	semidirect
520. #388	C₂²×C₁₃	semidirect
521. #388	C₂²×C₁₃	semidirect
522. #388	C₂²×C₁₃	semidirect
523. #387	C₂²×C₁₃	semidirect
524. #387	C₂²×C₁₃	semidirect
525. #387	C₂²×C₁₃	semidirect
526. #387	C₂²×C₁₃	semidirect
541. #386	C₂²×C₁₃	semidirect
542. #386	C₂²×C₁₃	semidirect
543. #386	C₂²×C₁₃	semidirect
544. #386	C₂²×C₁₃	semidirect
545. #386	C₂²×C₁₃	semidirect
546. #386	C₂²×C₁₃	semidirect
547. #386	C₂²×C₁₃	semidirect
548. #386	C₂²×C₁₃	semidirect
549. #386	C₂²×C₁₃	semidirect
550. #386	C₂²×C₁₃	semidirect
553. #385	C₂²×C₁₃	semidirect
554. #385	C₂²×C₁₃	semidirect
555. #385	C₂²×C₁₃	semidirect
556. #385	C₂²×C₁₃	semidirect
557. #383	C₂²×C₁₃	semidirect
558. #382	C₂²×C₁₃	semidirect
560. #381	C₂²×C₁₃	semidirect
561. #380	C₂²×C₁₃	semidirect
563. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
566. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
567. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
568. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
569. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
570. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
571. #376	C₂²×C₁₃	semidirect
573. C₂×#95	C₂²×C₁₃	semidirect
630. C₂×#41	C₂×C₄×C₁₃	semidirect
634. C₂²×D₄	C₂×C₄×C₁₃	semidirect
659. #127	C₂×C₄×C₁₃	semidirect
660. #127	C₂×C₄×C₁₃	semidirect
661. #124	C₂×C₄×C₁₃	semidirect
662. #124	C₂×C₄×C₁₃	semidirect
663. #121	C₂×C₄×C₁₃	semidirect
664. #121	C₂×C₄×C₁₃	semidirect
665. #120	C₂×C₄×C₁₃	semidirect
666. #120	C₂×C₄×C₁₃	semidirect
673. #117	C₂×C₄×C₁₃	semidirect
770. C₂×Q₈	C₂²×C₄×C₁₃	semidirect
799. C₂×D₄	C₂²×C₄×C₁₃	semidirect
800. C₂×D₄	C₂²×C₄×C₁₃	semidirect
801. C₂×D₄	C₂²×C₄×C₁₃	semidirect
834. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
854. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
880. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
881. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
888. C₄²	C₂²×C₄×C₁₃	semidirect
889. C₄²	C₂²×C₄×C₁₃	semidirect
890. C₁₃	#34406	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×#535	2
C₁₃×#2380	2
C₁₃×#2379	2
C₁₃×#2377	2
C₁₃×#2372	2
C₁₃×#2366	2
C₁₃×#2364	2
C₁₃×#2358	2
C₁₃×#2343	2
C₁₃×#2339	2
C₁₃×#2337	2
C₁₃×#2333	2
C₁₃×#2328	2
C₁₃×#2325	2
C₁₃×#2321	2
C₁₃×#2308	2
C₄×C₁₃×#120	2
C₂×C₁₃×#386	2
#34406	13

Subgroups — C13×#34406 #15720745

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34406 #15720745