Subgroups — C₁₃×#34437 #15720776

Order 3328.

2810 conjugacy classes of subgroups.

The subgroup lattice has 1056 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#534	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2376	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2375	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2374	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2364	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2361	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2358	C₂	1	2	yes	maximal, complemented
8	D₄×C₁₃×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
9	D₄×C₁₃×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2335	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2335	C₂	1	2	yes	maximal, complemented
12	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2312	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×D₄×C₁₃	C₂²	1	2	yes	—
21	C₁₃×#534	C₄	1	16	yes	complemented
22	C₂×C₁₃×#123	C₂²	1	2	yes	—
23	C₂×C₁₃×#123	C₂²	1	2	yes	—
24	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#121	C₂²	1	2	yes	—
27	C₂×C₁₃×#120	C₂²	1	2	yes	—
28	C₂×C₁₃×#120	C₂²	1	2	yes	—
29	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
31	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
32	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
34	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
35	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
36	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
40	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
41	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
42	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#390	C₂²	1	2	yes	—
44	C₁₃×#390	C₂²	1	2	yes	—
45	C₁₃×#390	C₂²	1	2	yes	—
46	C₁₃×#390	C₂²	1	2	yes	—
47	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#390	C₂²	1	2	yes	complemented
50	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#389	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×#388	C₂²	1	2	yes	complemented
58	C₁₃×#388	C₂²	1	2	yes	complemented
59	C₁₃×#388	C₂²	1	2	yes	complemented
60	C₁₃×#388	C₂²	1	2	yes	complemented
61	C₁₃×#388	C₂²	1	2	yes	complemented
62	C₁₃×#388	C₂²	1	2	yes	complemented
63	C₁₃×#388	C₂²	1	2	yes	complemented
64	C₁₃×#388	C₂²	1	2	yes	complemented
65	C₁₃×#388	C₂²	1	2	yes	complemented
66	C₁₃×#388	C₂²	1	2	yes	complemented
67	C₁₃×#388	C₂²	1	2	yes	complemented
68	C₁₃×#388	C₂²	1	2	yes	complemented
69	C₁₃×#387	C₂²	1	2	yes	complemented
70	C₁₃×#387	C₂²	1	2	yes	complemented
71	C₁₃×#387	C₂²	1	2	yes	complemented
72	C₁₃×#387	C₂²	1	2	yes	complemented
73	C₁₃×#386	C₂²	1	2	yes	—
74	C₁₃×#386	C₂²	1	2	yes	—
75	C₁₃×#386	C₂²	1	2	yes	—
76	C₁₃×#386	C₂²	1	2	yes	—
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	complemented
86	C₁₃×#385	C₂²	1	2	yes	complemented
87	C₁₃×#385	C₂²	1	2	yes	complemented
88	C₁₃×#385	C₂²	1	2	yes	complemented
89	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#380	C₂²	1	2	yes	complemented
92	C₁₃×#380	C₂²	1	2	yes	complemented
93	C₁₃×#379	C₂²	1	2	yes	—
94	C₁₃×#379	C₂²	1	2	yes	complemented
95	C₁₃×#379	C₂²	1	2	yes	complemented
96	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
97	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
98	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
99	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
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	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
106	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic, complemented
108	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
109	C₂⁵×C₁₃	C₂³	1	2	yes	—
110	C₂²×D₄×C₁₃	—	4	4	no	—
111	C₂²×D₄×C₁₃	—	4	4	no	—
112	C₂²×D₄×C₁₃	C₂×C₄	1	16	yes	complemented
113	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
115	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
118	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
120	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
121	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
123	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
124	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
125	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
128	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
129	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₁₃×#123	C₂×C₄	1	16	yes	complemented
132	C₁₃×#123	C₂×C₄	1	16	yes	complemented
133	C₁₃×#121	C₂×C₄	1	8	yes	complemented
134	C₁₃×#121	C₂×C₄	1	8	yes	complemented
135	C₁₃×#121	C₂×C₄	1	16	yes	complemented
136	C₁₃×#120	C₂×C₄	1	16	yes	complemented
137	C₁₃×#120	C₂×C₄	1	16	yes	complemented
138	C₄×D₄×C₁₃	—	4	2	no	—
139	C₄×D₄×C₁₃	—	4	2	no	—
140	C₄×D₄×C₁₃	—	4	4	no	—
141	C₄×D₄×C₁₃	—	4	4	no	—
142	C₄×D₄×C₁₃	—	4	4	no	—
143	C₄×D₄×C₁₃	—	4	4	no	—
144	C₄×D₄×C₁₃	—	4	4	no	—
145	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
146	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
147	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
154	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
156	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
160	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
161	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
162	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
163	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
164	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
184	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
188	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₄²×C₁₃	—	4	2	no	—
193	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
194	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
202	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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	#34437	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
220	C₂⁴×C₁₃	—	2	2	no	—
221	C₂⁴×C₁₃	—	2	2	no	—
222	C₂⁴×C₁₃	—	4	1	no	—
223	C₂⁴×C₁₃	—	4	1	no	—
224	C₂⁴×C₁₃	—	4	2	no	—
225	C₂⁴×C₁₃	—	4	2	no	—
226	C₂⁴×C₁₃	—	4	2	no	—
227	C₂⁴×C₁₃	—	4	2	no	—
228	C₂⁴×C₁₃	—	4	1	no	—
229	C₂⁴×C₁₃	—	4	1	no	—
230	C₂⁴×C₁₃	—	4	2	no	—
231	C₂⁴×C₁₃	—	4	2	no	—
232	C₂⁴×C₁₃	C₂²×C₄	1	4	yes	—
233	C₂⁴×C₁₃	C₂²×C₄	1	8	yes	—
234	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
235	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
236	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
237	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
238	C₂×D₄×C₁₃	—	2	4	no	—
239	C₂×D₄×C₁₃	—	2	4	no	—
240	C₂×D₄×C₁₃	—	2	4	no	—
241	C₂×D₄×C₁₃	—	2	4	no	—
242	C₂×D₄×C₁₃	—	4	1	no	—
243	C₂×D₄×C₁₃	—	4	1	no	—
244	C₂×D₄×C₁₃	—	4	2	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	2	no	—
250	C₂×D₄×C₁₃	—	4	1	no	—
251	C₂×D₄×C₁₃	—	4	1	no	—
252	C₂×D₄×C₁₃	—	4	32	no	—
253	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
254	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
255	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
256	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
257	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
258	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
259	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
260	C₂²×C₄×C₁₃	—	2	2	no	—
261	C₂²×C₄×C₁₃	—	2	2	no	—
262	C₂²×C₄×C₁₃	—	2	2	no	—
263	C₂²×C₄×C₁₃	—	2	2	no	—
264	C₂²×C₄×C₁₃	—	2	2	no	—
265	C₂²×C₄×C₁₃	—	2	2	no	—
266	C₂²×C₄×C₁₃	—	2	4	no	—
267	C₂²×C₄×C₁₃	—	2	4	no	—
268	C₂²×C₄×C₁₃	—	4	1	no	—
269	C₂²×C₄×C₁₃	—	4	1	no	—
270	C₂²×C₄×C₁₃	—	4	1	no	—
271	C₂²×C₄×C₁₃	—	4	1	no	—
272	C₂²×C₄×C₁₃	—	4	1	no	—
273	C₂²×C₄×C₁₃	—	4	1	no	—
274	C₂²×C₄×C₁₃	—	4	2	no	—
275	C₂²×C₄×C₁₃	—	4	2	no	—
276	C₂²×C₄×C₁₃	—	4	2	no	—
277	C₂²×C₄×C₁₃	—	4	1	no	—
278	C₂²×C₄×C₁₃	—	4	1	no	—
279	C₂²×C₄×C₁₃	—	4	2	no	—
280	C₂²×C₄×C₁₃	—	4	1	no	—
281	C₂²×C₄×C₁₃	—	4	2	no	—
282	C₂²×C₄×C₁₃	—	4	2	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	2	no	—
288	C₂²×C₄×C₁₃	—	4	2	no	—
289	C₂²×C₄×C₁₃	—	4	1	no	—
290	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
291	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
292	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
293	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
305	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
306	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
308	C₁₃×C₄⋊C₄	—	2	4	no	—
309	C₁₃×C₄⋊C₄	—	4	2	no	—
310	C₁₃×C₄⋊C₄	—	4	1	no	—
311	C₁₃×C₄⋊C₄	—	4	1	no	—
312	C₁₃×C₄⋊C₄	—	4	1	no	—
313	C₁₃×C₄⋊C₄	—	4	1	no	—
314	C₁₃×C₄⋊C₄	—	4	2	no	—
315	C₁₃×C₄⋊C₄	—	4	2	no	—
316	C₁₃×C₄⋊C₄	—	4	2	no	—
317	C₁₃×C₄⋊C₄	—	4	2	no	—
318	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
319	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
320	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
321	C₁₃×C₂²⋊C₄	—	2	4	no	—
322	C₁₃×C₂²⋊C₄	—	2	4	no	—
323	C₁₃×C₂²⋊C₄	—	2	4	no	—
324	C₁₃×C₂²⋊C₄	—	2	4	no	—
325	C₁₃×C₂²⋊C₄	—	2	4	no	—
326	C₁₃×C₂²⋊C₄	—	2	4	no	—
327	C₁₃×C₂²⋊C₄	—	4	2	no	—
328	C₁₃×C₂²⋊C₄	—	4	2	no	—
329	C₁₃×C₂²⋊C₄	—	4	2	no	—
330	C₁₃×C₂²⋊C₄	—	4	2	no	—
331	C₁₃×C₂²⋊C₄	—	4	2	no	—
332	C₁₃×C₂²⋊C₄	—	4	2	no	—
333	C₁₃×C₂²⋊C₄	—	4	2	no	—
334	C₁₃×C₂²⋊C₄	—	4	2	no	—
335	C₁₃×C₂²⋊C₄	—	4	2	no	—
336	C₁₃×C₂²⋊C₄	—	4	2	no	—
337	C₁₃×C₂²⋊C₄	—	4	2	no	—
338	C₁₃×C₂²⋊C₄	—	4	2	no	—
339	C₁₃×C₂²⋊C₄	—	4	2	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	C₂²×C₄	1	8	yes	—
344	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
345	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
346	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
347	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
348	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
349	C₄²×C₁₃	—	2	2	no	—
350	C₄²×C₁₃	—	2	2	no	—
351	C₄²×C₁₃	—	4	1	no	—
352	C₄²×C₁₃	—	4	1	no	—
353	C₄²×C₁₃	—	4	2	no	—
354	C₄²×C₁₃	—	4	2	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	C₂×#534	C₂×C₁₃	1	1	yes	characteristic
360	#2376	C₂×C₁₃	1	2	yes	complemented
361	#2375	C₂×C₁₃	1	2	yes	complemented
362	#2374	C₂×C₁₃	1	2	yes	complemented
363	#2364	C₂×C₁₃	1	2	yes	complemented
364	#2361	C₂×C₁₃	1	2	yes	complemented
365	#2358	C₂×C₁₃	1	2	yes	complemented
366	D₄×C₂²⋊C₄	C₂×C₁₃	1	2	yes	complemented
367	D₄×C₂²⋊C₄	C₂×C₁₃	1	2	yes	complemented
368	#2335	C₂×C₁₃	1	2	yes	complemented
369	#2335	C₂×C₁₃	1	2	yes	complemented
370	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
371	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
372	#2321	C₂×C₁₃	1	2	yes	complemented
373	#2321	C₂×C₁₃	1	2	yes	complemented
374	#2312	C₂×C₁₃	1	1	yes	characteristic, complemented
375	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
376	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
377	C₂×#388	C₂×C₁₃	1	1	yes	characteristic, complemented
378	C₂³×C₁₃	—	2	1	no	—
379	C₂³×C₁₃	—	2	1	no	—
380	C₂³×C₁₃	—	2	1	no	—
381	C₂³×C₁₃	—	2	1	no	—
382	C₂³×C₁₃	—	2	2	no	—
383	C₂³×C₁₃	—	2	2	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	2	no	—
389	C₂³×C₁₃	—	2	2	no	—
390	C₂³×C₁₃	—	2	2	no	—
391	C₂³×C₁₃	—	2	2	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	2	no	—
397	C₂³×C₁₃	—	2	2	no	—
398	C₂³×C₁₃	—	2	2	no	—
399	C₂³×C₁₃	—	2	2	no	—
400	C₂³×C₁₃	—	2	8	no	—
401	C₂³×C₁₃	—	4	8	no	—
402	C₂³×C₁₃	—	4	4	no	—
403	C₂³×C₁₃	—	4	4	no	—
404	C₂³×C₁₃	—	4	8	no	—
405	C₂³×C₁₃	—	4	8	no	—
406	C₂³×C₁₃	—	8	2	no	—
407	C₂³×C₁₃	—	8	2	no	—
408	C₂³×C₁₃	—	8	2	no	—
409	C₂³×C₁₃	—	8	2	no	—
410	C₂³×C₁₃	—	8	4	no	—
411	C₂³×C₁₃	—	8	4	no	—
412	C₂³×C₁₃	—	8	4	no	—
413	C₂³×C₁₃	—	8	4	no	—
414	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
415	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
416	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
417	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
418	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
419	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
420	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
421	D₄×C₁₃	—	2	16	no	—
422	D₄×C₁₃	—	2	16	no	—
423	D₄×C₁₃	—	4	8	no	—
424	D₄×C₁₃	—	4	8	no	—
425	D₄×C₁₃	—	4	4	no	—
426	D₄×C₁₃	—	4	4	no	—
427	D₄×C₁₃	—	4	8	no	—
428	C₂×C₄×C₁₃	—	2	1	no	—
429	C₂×C₄×C₁₃	—	2	1	no	—
430	C₂×C₄×C₁₃	—	2	1	no	—
431	C₂×C₄×C₁₃	—	2	1	no	—
432	C₂×C₄×C₁₃	—	2	1	no	—
433	C₂×C₄×C₁₃	—	2	2	no	—
434	C₂×C₄×C₁₃	—	2	2	no	—
435	C₂×C₄×C₁₃	—	2	2	no	—
436	C₂×C₄×C₁₃	—	2	2	no	—
437	C₂×C₄×C₁₃	—	2	2	no	—
438	C₂×C₄×C₁₃	—	2	2	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	2	no	—
444	C₂×C₄×C₁₃	—	2	1	no	—
445	C₂×C₄×C₁₃	—	2	2	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	1	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	2	1	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	1	no	—
464	C₂×C₄×C₁₃	—	2	2	no	—
465	C₂×C₄×C₁₃	—	2	2	no	—
466	C₂×C₄×C₁₃	—	4	4	no	—
467	C₂×C₄×C₁₃	—	4	4	no	—
468	C₂×C₄×C₁₃	—	4	8	no	—
469	C₂×C₄×C₁₃	—	4	4	no	—
470	C₂×C₄×C₁₃	—	4	4	no	—
471	C₂×C₄×C₁₃	—	8	4	no	—
472	C₂×C₄×C₁₃	—	8	4	no	—
473	C₂×C₄×C₁₃	—	8	2	no	—
474	C₂×C₄×C₁₃	—	8	2	no	—
475	C₂×C₄×C₁₃	—	8	4	no	—
476	C₂×C₄×C₁₃	—	8	4	no	—
477	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
478	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
479	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
480	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
481	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
482	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
483	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
484	C₂³×D₄	C₂²×C₁₃	1	2	yes	—
485	#534	C₄×C₁₃	1	16	yes	complemented
486	C₂×#123	C₂²×C₁₃	1	2	yes	—
487	C₂×#123	C₂²×C₁₃	1	2	yes	—
488	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
489	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
490	C₂×#121	C₂²×C₁₃	1	2	yes	—
491	C₂×#120	C₂²×C₁₃	1	2	yes	—
492	C₂×#120	C₂²×C₁₃	1	2	yes	—
493	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
494	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
495	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
496	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
497	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
498	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
499	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
500	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
501	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
502	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
503	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
504	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
505	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
506	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
507	#390	C₂²×C₁₃	1	2	yes	—
508	#390	C₂²×C₁₃	1	2	yes	—
509	#390	C₂²×C₁₃	1	2	yes	—
510	#390	C₂²×C₁₃	1	2	yes	—
511	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
512	#390	C₂²×C₁₃	1	2	yes	complemented
513	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
514	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
515	#389	C₂²×C₁₃	1	2	yes	complemented
516	#389	C₂²×C₁₃	1	1	yes	characteristic, 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	#388	C₂²×C₁₃	1	2	yes	complemented
524	#388	C₂²×C₁₃	1	2	yes	complemented
525	#388	C₂²×C₁₃	1	2	yes	complemented
526	#388	C₂²×C₁₃	1	2	yes	complemented
527	#388	C₂²×C₁₃	1	2	yes	complemented
528	#388	C₂²×C₁₃	1	2	yes	complemented
529	#388	C₂²×C₁₃	1	2	yes	complemented
530	#388	C₂²×C₁₃	1	2	yes	complemented
531	#388	C₂²×C₁₃	1	2	yes	complemented
532	#388	C₂²×C₁₃	1	2	yes	complemented
533	#387	C₂²×C₁₃	1	2	yes	complemented
534	#387	C₂²×C₁₃	1	2	yes	complemented
535	#387	C₂²×C₁₃	1	2	yes	complemented
536	#387	C₂²×C₁₃	1	2	yes	complemented
537	#386	C₂²×C₁₃	1	2	yes	—
538	#386	C₂²×C₁₃	1	2	yes	—
539	#386	C₂²×C₁₃	1	2	yes	—
540	#386	C₂²×C₁₃	1	2	yes	—
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	#385	C₂²×C₁₃	1	2	yes	complemented
550	#385	C₂²×C₁₃	1	2	yes	complemented
551	#385	C₂²×C₁₃	1	2	yes	complemented
552	#385	C₂²×C₁₃	1	2	yes	complemented
553	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
554	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
555	#380	C₂²×C₁₃	1	2	yes	complemented
556	#380	C₂²×C₁₃	1	2	yes	complemented
557	#379	C₂²×C₁₃	1	2	yes	—
558	#379	C₂²×C₁₃	1	2	yes	complemented
559	#379	C₂²×C₁₃	1	2	yes	complemented
560	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
561	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
562	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
563	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
564	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
565	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
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	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic, complemented
571	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic, complemented
572	C₂²×C₁₃	—	2	2	no	—
573	C₂²×C₁₃	—	2	2	no	—
574	C₂²×C₁₃	—	2	2	no	—
575	C₂²×C₁₃	—	2	2	no	—
576	C₂²×C₁₃	—	2	2	no	—
577	C₂²×C₁₃	—	2	2	no	—
578	C₂²×C₁₃	—	2	4	no	—
579	C₂²×C₁₃	—	2	4	no	—
580	C₂²×C₁₃	—	2	4	no	—
581	C₂²×C₁₃	—	2	4	no	—
582	C₂²×C₁₃	—	2	4	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	—	4	2	no	—
588	C₂²×C₁₃	—	4	2	no	—
589	C₂²×C₁₃	—	4	2	no	—
590	C₂²×C₁₃	—	4	2	no	—
591	C₂²×C₁₃	—	4	2	no	—
592	C₂²×C₁₃	—	4	2	no	—
593	C₂²×C₁₃	—	4	2	no	—
594	C₂²×C₁₃	—	4	2	no	—
595	C₂²×C₁₃	—	4	2	no	—
596	C₂²×C₁₃	—	4	2	no	—
597	C₂²×C₁₃	—	4	2	no	—
598	C₂²×C₁₃	—	4	2	no	—
599	C₂²×C₁₃	—	8	8	no	—
600	C₂²×C₁₃	—	8	16	no	—
601	C₂²×C₁₃	#518	1	4	yes	—
602	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
603	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
604	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
605	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
606	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
607	C₂²×C₁₃	#585	1	1	yes	characteristic
608	C₂²×C₁₃	#585	1	1	yes	characteristic
609	C₄×C₁₃	—	2	4	no	—
610	C₄×C₁₃	—	2	4	no	—
611	C₄×C₁₃	—	2	2	no	—
612	C₄×C₁₃	—	2	2	no	—
613	C₄×C₁₃	—	2	4	no	—
614	C₄×C₁₃	—	2	2	no	—
615	C₄×C₁₃	—	2	2	no	—
616	C₄×C₁₃	—	4	1	no	—
617	C₄×C₁₃	—	4	2	no	—
618	C₄×C₁₃	—	4	1	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	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
625	C₂⁵	C₂³×C₁₃	1	2	yes	—
626	C₂²×D₄	—	4	4	no	—
627	C₂²×D₄	—	4	4	no	—
628	C₂²×D₄	C₂×C₄×C₁₃	1	16	yes	complemented
629	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
630	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
631	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
632	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
633	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
634	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
635	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
636	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
637	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
638	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
639	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
640	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
641	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
642	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
643	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
644	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
645	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
646	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
647	#123	C₂×C₄×C₁₃	1	16	yes	complemented
648	#123	C₂×C₄×C₁₃	1	16	yes	complemented
649	#121	C₂×C₄×C₁₃	1	8	yes	complemented
650	#121	C₂×C₄×C₁₃	1	8	yes	complemented
651	#121	C₂×C₄×C₁₃	1	16	yes	complemented
652	#120	C₂×C₄×C₁₃	1	16	yes	complemented
653	#120	C₂×C₄×C₁₃	1	16	yes	complemented
654	C₄×D₄	—	4	2	no	—
655	C₄×D₄	—	4	2	no	—
656	C₄×D₄	—	4	4	no	—
657	C₄×D₄	—	4	4	no	—
658	C₄×D₄	—	4	4	no	—
659	C₄×D₄	—	4	4	no	—
660	C₄×D₄	—	4	4	no	—
661	C₂×C₄⋊C₄	—	4	2	no	—
662	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
663	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
667	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
668	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
669	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
675	C₂×C₂²⋊C₄	—	4	2	no	—
676	C₂×C₂²⋊C₄	—	4	2	no	—
677	C₂×C₂²⋊C₄	—	4	4	no	—
678	C₂×C₂²⋊C₄	—	4	4	no	—
679	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	8	yes	complemented
680	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₁₃	1	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	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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×C₄²	—	4	2	no	—
709	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×C₄²	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	1	yes	characteristic
718	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
719	#95	C₂³×C₁₃	1	2	yes	—
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	C₂×C₁₃	—	2	4	no	—
736	C₂×C₁₃	—	4	4	no	—
737	C₂×C₁₃	—	4	4	no	—
738	C₂×C₁₃	—	4	4	no	—
739	C₂×C₁₃	C₂×#518	1	1	yes	characteristic
740	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
741	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
742	C₂×C₁₃	#3534	1	1	yes	characteristic
743	C₂×C₁₃	#3537	1	1	yes	characteristic
744	C₂×C₁₃	#3558	1	1	yes	characteristic
745	C₂×C₁₃	#3560	1	1	yes	characteristic
746	C₂⁴	—	2	2	no	—
747	C₂⁴	—	2	2	no	—
748	C₂⁴	—	4	1	no	—
749	C₂⁴	—	4	1	no	—
750	C₂⁴	—	4	2	no	—
751	C₂⁴	—	4	2	no	—
752	C₂⁴	—	4	2	no	—
753	C₂⁴	—	4	2	no	—
754	C₂⁴	—	4	1	no	—
755	C₂⁴	—	4	1	no	—
756	C₂⁴	—	4	2	no	—
757	C₂⁴	—	4	2	no	—
758	C₂⁴	C₂²×C₄×C₁₃	1	4	yes	—
759	C₂⁴	C₂²×C₄×C₁₃	1	8	yes	—
760	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
761	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
762	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
763	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
764	C₂×D₄	—	2	4	no	—
765	C₂×D₄	—	2	4	no	—
766	C₂×D₄	—	2	4	no	—
767	C₂×D₄	—	2	4	no	—
768	C₂×D₄	—	4	1	no	—
769	C₂×D₄	—	4	1	no	—
770	C₂×D₄	—	4	2	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	4	2	no	—
773	C₂×D₄	—	4	2	no	—
774	C₂×D₄	—	4	2	no	—
775	C₂×D₄	—	4	2	no	—
776	C₂×D₄	—	4	1	no	—
777	C₂×D₄	—	4	1	no	—
778	C₂×D₄	—	4	32	no	—
779	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
780	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
781	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
782	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
783	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
784	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
785	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
786	C₂²×C₄	—	2	2	no	—
787	C₂²×C₄	—	2	2	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	2	2	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	4	no	—
793	C₂²×C₄	—	2	4	no	—
794	C₂²×C₄	—	4	1	no	—
795	C₂²×C₄	—	4	1	no	—
796	C₂²×C₄	—	4	1	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	2	no	—
799	C₂²×C₄	—	4	1	no	—
800	C₂²×C₄	—	4	1	no	—
801	C₂²×C₄	—	4	1	no	—
802	C₂²×C₄	—	4	2	no	—
803	C₂²×C₄	—	4	1	no	—
804	C₂²×C₄	—	4	1	no	—
805	C₂²×C₄	—	4	2	no	—
806	C₂²×C₄	—	4	1	no	—
807	C₂²×C₄	—	4	2	no	—
808	C₂²×C₄	—	4	2	no	—
809	C₂²×C₄	—	4	2	no	—
810	C₂²×C₄	—	4	2	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	C₂²×C₄×C₁₃	1	4	yes	—
817	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
818	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
819	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
820	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
821	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
823	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
824	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
825	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
826	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
827	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
828	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
829	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
830	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
831	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
832	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
833	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
834	C₄⋊C₄	—	2	4	no	—
835	C₄⋊C₄	—	4	2	no	—
836	C₄⋊C₄	—	4	1	no	—
837	C₄⋊C₄	—	4	1	no	—
838	C₄⋊C₄	—	4	2	no	—
839	C₄⋊C₄	—	4	2	no	—
840	C₄⋊C₄	—	4	2	no	—
841	C₄⋊C₄	—	4	2	no	—
842	C₄⋊C₄	—	4	1	no	—
843	C₄⋊C₄	—	4	1	no	—
844	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
845	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
846	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
847	C₂²⋊C₄	—	2	4	no	—
848	C₂²⋊C₄	—	2	4	no	—
849	C₂²⋊C₄	—	2	4	no	—
850	C₂²⋊C₄	—	2	4	no	—
851	C₂²⋊C₄	—	2	4	no	—
852	C₂²⋊C₄	—	2	4	no	—
853	C₂²⋊C₄	—	4	2	no	—
854	C₂²⋊C₄	—	4	2	no	—
855	C₂²⋊C₄	—	4	2	no	—
856	C₂²⋊C₄	—	4	2	no	—
857	C₂²⋊C₄	—	4	2	no	—
858	C₂²⋊C₄	—	4	2	no	—
859	C₂²⋊C₄	—	4	2	no	—
860	C₂²⋊C₄	—	4	2	no	—
861	C₂²⋊C₄	—	4	2	no	—
862	C₂²⋊C₄	—	4	2	no	—
863	C₂²⋊C₄	—	4	2	no	—
864	C₂²⋊C₄	—	4	2	no	—
865	C₂²⋊C₄	—	4	2	no	—
866	C₂²⋊C₄	—	4	2	no	—
867	C₂²⋊C₄	—	4	2	no	—
868	C₂²⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
870	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
871	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
872	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
873	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
874	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
875	C₄²	—	2	2	no	—
876	C₄²	—	2	2	no	—
877	C₄²	—	4	1	no	—
878	C₄²	—	4	1	no	—
879	C₄²	—	4	2	no	—
880	C₄²	—	4	2	no	—
881	C₄²	—	4	2	no	—
882	C₄²	—	4	2	no	—
883	C₄²	—	4	2	no	—
884	C₄²	—	4	2	no	—
885	C₁₃	#34437	1	1	yes	characteristic, direct product factor, Sylow
886	C₂³	—	2	1	no	—
887	C₂³	—	2	1	no	—
888	C₂³	—	2	1	no	—
889	C₂³	—	2	1	no	—
890	C₂³	—	2	2	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	2	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	2	2	no	—
898	C₂³	—	2	2	no	—
899	C₂³	—	2	2	no	—
900	C₂³	—	2	2	no	—
901	C₂³	—	2	2	no	—
902	C₂³	—	2	2	no	—
903	C₂³	—	2	2	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	8	no	—
909	C₂³	—	4	8	no	—
910	C₂³	—	4	4	no	—
911	C₂³	—	4	4	no	—
912	C₂³	—	4	8	no	—
913	C₂³	—	4	8	no	—
914	C₂³	—	8	2	no	—
915	C₂³	—	8	2	no	—
916	C₂³	—	8	2	no	—
917	C₂³	—	8	2	no	—
918	C₂³	—	8	4	no	—
919	C₂³	—	8	4	no	—
920	C₂³	—	8	4	no	—
921	C₂³	—	8	4	no	—
922	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
923	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
924	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
925	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
926	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
927	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
928	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
929	D₄	—	2	16	no	—
930	D₄	—	2	16	no	—
931	D₄	—	4	8	no	—
932	D₄	—	4	8	no	—
933	D₄	—	4	4	no	—
934	D₄	—	4	4	no	—
935	D₄	—	4	8	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	1	no	—
948	C₂×C₄	—	2	1	no	—
949	C₂×C₄	—	2	1	no	—
950	C₂×C₄	—	2	1	no	—
951	C₂×C₄	—	2	2	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	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	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	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	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	4	8	no	—
975	C₂×C₄	—	4	4	no	—
976	C₂×C₄	—	4	4	no	—
977	C₂×C₄	—	4	4	no	—
978	C₂×C₄	—	4	4	no	—
979	C₂×C₄	—	8	4	no	—
980	C₂×C₄	—	8	4	no	—
981	C₂×C₄	—	8	2	no	—
982	C₂×C₄	—	8	2	no	—
983	C₂×C₄	—	8	4	no	—
984	C₂×C₄	—	8	4	no	—
985	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
986	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
987	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
988	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
989	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
990	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
991	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
992	C₂²	—	2	2	no	—
993	C₂²	—	2	2	no	—
994	C₂²	—	2	2	no	—
995	C₂²	—	2	2	no	—
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	4	no	—
1002	C₂²	—	2	4	no	—
1003	C₂²	—	2	4	no	—
1004	C₂²	—	2	4	no	—
1005	C₂²	—	2	4	no	—
1006	C₂²	—	2	4	no	—
1007	C₂²	—	4	2	no	—
1008	C₂²	—	4	2	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	2	no	—
1011	C₂²	—	4	2	no	—
1012	C₂²	—	4	2	no	—
1013	C₂²	—	4	2	no	—
1014	C₂²	—	4	2	no	—
1015	C₂²	—	4	2	no	—
1016	C₂²	—	4	2	no	—
1017	C₂²	—	4	2	no	—
1018	C₂²	—	4	2	no	—
1019	C₂²	—	8	8	no	—
1020	C₂²	—	8	16	no	—
1021	C₂²	C₁₃×#518	1	4	yes	—
1022	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1023	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1024	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1025	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1026	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1027	C₂²	C₁₃×#585	1	1	yes	characteristic
1028	C₂²	C₁₃×#585	1	1	yes	characteristic
1029	C₄	—	2	2	no	—
1030	C₄	—	2	2	no	—
1031	C₄	—	2	4	no	—
1032	C₄	—	2	4	no	—
1033	C₄	—	2	2	no	—
1034	C₄	—	2	2	no	—
1035	C₄	—	2	4	no	—
1036	C₄	—	4	1	no	—
1037	C₄	—	4	2	no	—
1038	C₄	—	4	1	no	—
1039	C₄	—	4	2	no	—
1040	C₄	—	4	2	no	—
1041	C₄	—	4	2	no	—
1042	C₄	—	4	2	no	—
1043	C₄	—	4	2	no	—
1044	C₂	—	2	4	no	—
1045	C₂	—	4	4	no	—
1046	C₂	—	4	4	no	—
1047	C₂	—	4	4	no	—
1048	C₂	C₂×C₁₃×#518	1	1	yes	characteristic
1049	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1050	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₂	C₁₃×#3534	1	1	yes	characteristic
1052	C₂	C₁₃×#3537	1	1	yes	characteristic
1053	C₂	C₁₃×#3558	1	1	yes	characteristic
1054	C₂	C₁₃×#3560	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#534	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×#2376	C₂	semidirect
3. C₁₃×#2375	C₂	semidirect
4. C₁₃×#2374	C₂	semidirect
5. C₁₃×#2364	C₂	semidirect
6. C₁₃×#2361	C₂	semidirect
7. C₁₃×#2358	C₂	semidirect
8. D₄×C₁₃×C₂²⋊C₄	C₂	semidirect
9. D₄×C₁₃×C₂²⋊C₄	C₂	semidirect
10. C₁₃×#2335	C₂	semidirect
11. C₁₃×#2335	C₂	semidirect
12. C₁₃×#2325	C₂	semidirect
13. C₁₃×#2325	C₂	semidirect
14. C₁₃×#2321	C₂	semidirect
15. C₁₃×#2321	C₂	semidirect
16. C₁₃×#2312	C₂	semidirect
17. C₄×C₁₃×#121	C₂	semidirect
18. C₄×C₁₃×#121	C₂	semidirect
19. C₂×C₁₃×#388	C₂	semidirect
21. C₁₃×#534	C₄	semidirect
29. C₂×C₄×D₄×C₁₃	C₂²	semidirect
30. C₂×C₄×D₄×C₁₃	C₂²	semidirect
31. C₂×C₄×D₄×C₁₃	C₂²	semidirect
32. C₂×C₄×D₄×C₁₃	C₂²	semidirect
33. C₂×C₄×D₄×C₁₃	C₂²	semidirect
34. C₂×C₄×D₄×C₁₃	C₂²	semidirect
35. C₂×C₄×D₄×C₁₃	C₂²	semidirect
36. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
40. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
41. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
42. C₂²×C₄²×C₁₃	C₂²	semidirect
47. C₁₃×#390	C₂²	semidirect
48. C₁₃×#390	C₂²	semidirect
49. C₁₃×#390	C₂²	semidirect
50. C₁₃×#389	C₂²	semidirect
51. C₁₃×#389	C₂²	semidirect
52. C₁₃×#389	C₂²	semidirect
53. C₁₃×#388	C₂²	semidirect
54. C₁₃×#388	C₂²	semidirect
55. C₁₃×#388	C₂²	semidirect
56. C₁₃×#388	C₂²	semidirect
57. C₁₃×#388	C₂²	semidirect
58. C₁₃×#388	C₂²	semidirect
59. C₁₃×#388	C₂²	semidirect
60. C₁₃×#388	C₂²	semidirect
61. C₁₃×#388	C₂²	semidirect
62. C₁₃×#388	C₂²	semidirect
63. C₁₃×#388	C₂²	semidirect
64. C₁₃×#388	C₂²	semidirect
65. C₁₃×#388	C₂²	semidirect
66. C₁₃×#388	C₂²	semidirect
67. C₁₃×#388	C₂²	semidirect
68. C₁₃×#388	C₂²	semidirect
69. C₁₃×#387	C₂²	semidirect
70. C₁₃×#387	C₂²	semidirect
71. C₁₃×#387	C₂²	semidirect
72. C₁₃×#387	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
85. C₁₃×#385	C₂²	semidirect
86. C₁₃×#385	C₂²	semidirect
87. C₁₃×#385	C₂²	semidirect
88. C₁₃×#385	C₂²	semidirect
89. C₁₃×#380	C₂²	semidirect
90. C₁₃×#380	C₂²	semidirect
91. C₁₃×#380	C₂²	semidirect
92. C₁₃×#380	C₂²	semidirect
94. C₁₃×#379	C₂²	semidirect
95. C₁₃×#379	C₂²	semidirect
96. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
97. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
98. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
99. C₄×C₁₃×C₂²⋊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. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
106. C₂×C₁₃×#95	C₂²	semidirect
107. C₂×C₁₃×#95	C₂²	semidirect
112. C₂²×D₄×C₁₃	C₂×C₄	semidirect
131. C₁₃×#123	C₂×C₄	semidirect
132. C₁₃×#123	C₂×C₄	semidirect
133. C₁₃×#121	C₂×C₄	semidirect
134. C₁₃×#121	C₂×C₄	semidirect
135. C₁₃×#121	C₂×C₄	semidirect
136. C₁₃×#120	C₂×C₄	semidirect
137. C₁₃×#120	C₂×C₄	semidirect
163. C₂×C₁₃×C₂²⋊C₄	C₂×C₄	semidirect
219. #34437	C₁₃	direct (N × H)
360. #2376	C₂×C₁₃	semidirect
361. #2375	C₂×C₁₃	semidirect
362. #2374	C₂×C₁₃	semidirect
363. #2364	C₂×C₁₃	semidirect
364. #2361	C₂×C₁₃	semidirect
365. #2358	C₂×C₁₃	semidirect
366. D₄×C₂²⋊C₄	C₂×C₁₃	semidirect
367. D₄×C₂²⋊C₄	C₂×C₁₃	semidirect
368. #2335	C₂×C₁₃	semidirect
369. #2335	C₂×C₁₃	semidirect
370. #2325	C₂×C₁₃	semidirect
371. #2325	C₂×C₁₃	semidirect
372. #2321	C₂×C₁₃	semidirect
373. #2321	C₂×C₁₃	semidirect
374. #2312	C₂×C₁₃	semidirect
375. C₄×#121	C₂×C₁₃	semidirect
376. C₄×#121	C₂×C₁₃	semidirect
377. C₂×#388	C₂×C₁₃	semidirect
485. #534	C₄×C₁₃	semidirect
493. C₂×C₄×D₄	C₂²×C₁₃	semidirect
494. C₂×C₄×D₄	C₂²×C₁₃	semidirect
495. C₂×C₄×D₄	C₂²×C₁₃	semidirect
496. C₂×C₄×D₄	C₂²×C₁₃	semidirect
497. C₂×C₄×D₄	C₂²×C₁₃	semidirect
498. C₂×C₄×D₄	C₂²×C₁₃	semidirect
499. C₂×C₄×D₄	C₂²×C₁₃	semidirect
500. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
504. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
505. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
506. C₂²×C₄²	C₂²×C₁₃	semidirect
511. #390	C₂²×C₁₃	semidirect
512. #390	C₂²×C₁₃	semidirect
513. #390	C₂²×C₁₃	semidirect
514. #389	C₂²×C₁₃	semidirect
515. #389	C₂²×C₁₃	semidirect
516. #389	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. #388	C₂²×C₁₃	semidirect
524. #388	C₂²×C₁₃	semidirect
525. #388	C₂²×C₁₃	semidirect
526. #388	C₂²×C₁₃	semidirect
527. #388	C₂²×C₁₃	semidirect
528. #388	C₂²×C₁₃	semidirect
529. #388	C₂²×C₁₃	semidirect
530. #388	C₂²×C₁₃	semidirect
531. #388	C₂²×C₁₃	semidirect
532. #388	C₂²×C₁₃	semidirect
533. #387	C₂²×C₁₃	semidirect
534. #387	C₂²×C₁₃	semidirect
535. #387	C₂²×C₁₃	semidirect
536. #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. #385	C₂²×C₁₃	semidirect
550. #385	C₂²×C₁₃	semidirect
551. #385	C₂²×C₁₃	semidirect
552. #385	C₂²×C₁₃	semidirect
553. #380	C₂²×C₁₃	semidirect
554. #380	C₂²×C₁₃	semidirect
555. #380	C₂²×C₁₃	semidirect
556. #380	C₂²×C₁₃	semidirect
558. #379	C₂²×C₁₃	semidirect
559. #379	C₂²×C₁₃	semidirect
560. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
561. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
562. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
563. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
564. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
565. C₄×C₂²⋊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. C₂×#95	C₂²×C₁₃	semidirect
571. C₂×#95	C₂²×C₁₃	semidirect
628. C₂²×D₄	C₂×C₄×C₁₃	semidirect
647. #123	C₂×C₄×C₁₃	semidirect
648. #123	C₂×C₄×C₁₃	semidirect
649. #121	C₂×C₄×C₁₃	semidirect
650. #121	C₂×C₄×C₁₃	semidirect
651. #121	C₂×C₄×C₁₃	semidirect
652. #120	C₂×C₄×C₁₃	semidirect
653. #120	C₂×C₄×C₁₃	semidirect
679. C₂×C₂²⋊C₄	C₂×C₄×C₁₃	semidirect
885. C₁₃	#34437	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×#534	2
C₁₃×#2376	2
C₁₃×#2375	2
C₁₃×#2374	2
C₁₃×#2364	2
C₁₃×#2361	2
C₁₃×#2358	2
D₄×C₁₃×C₂²⋊C₄	2
C₁₃×#2335	2
C₁₃×#2325	2
C₁₃×#2321	2
C₁₃×#2312	2
C₄×C₁₃×#121	2
C₂×C₁₃×#388	2
#34437	13

Subgroups — C13×#34437 #15720776

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34437 #15720776