Subgroups — C₁₃×#15040 #15701379

Order 3328.

1218 conjugacy classes of subgroups.

The subgroup lattice has 954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#1443	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#1443	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#1443	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#1442	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#1440	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#1440	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#1440	C₂	1	1	yes	maximal, characteristic
8	C₁₃×#1439	C₂	1	1	yes	maximal, characteristic
9	C₁₃×#1437	C₂	1	1	yes	maximal, characteristic
10	C₁₃×#1437	C₂	1	1	yes	maximal, characteristic
11	C₁₃×#1437	C₂	1	1	yes	maximal, characteristic
12	C₁₃×#1436	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1434	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1434	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₁₃×#95	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
19	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
20	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
21	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
22	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
23	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
24	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
25	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
26	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
49	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
51	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
52	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
53	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
54	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
55	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
56	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
57	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
58	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
59	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
60	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
61	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
62	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
63	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
64	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
65	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
66	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
67	C₂×C₁₃×C₄⋊C₄	—	4	1	no	—
68	C₂×C₁₃×C₄⋊C₄	—	4	1	no	—
69	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
70	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
71	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
72	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
73	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
74	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
75	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
76	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
77	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
78	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
79	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
80	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
81	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
82	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
83	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
84	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
85	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
86	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
87	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
88	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
89	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
90	C₂×C₄²×C₁₃	—	2	2	no	—
91	C₂×C₄²×C₁₃	—	2	2	no	—
92	C₂×C₄²×C₁₃	—	2	2	no	—
93	C₂×C₄²×C₁₃	—	2	2	no	—
94	C₂×C₄²×C₁₃	—	2	2	no	—
95	C₂×C₄²×C₁₃	—	4	1	no	—
96	C₂×C₄²×C₁₃	—	4	1	no	—
97	C₂×C₄²×C₁₃	—	4	1	no	—
98	C₂×C₄²×C₁₃	—	4	1	no	—
99	C₁₃×#95	—	2	2	no	—
100	C₁₃×#95	—	2	2	no	—
101	C₁₃×#95	—	2	2	no	—
102	C₁₃×#95	—	2	2	no	—
103	C₁₃×#95	—	2	2	no	—
104	C₁₃×#95	—	2	2	no	—
105	C₁₃×#95	—	2	2	no	—
106	C₁₃×#95	—	2	2	no	—
107	C₁₃×#95	—	2	2	no	—
108	C₁₃×#95	—	2	2	no	—
109	C₁₃×#95	—	2	2	no	—
110	C₁₃×#95	—	2	2	no	—
111	C₁₃×#95	—	2	2	no	—
112	C₁₃×#95	—	2	2	no	—
113	C₁₃×#95	—	4	1	no	—
114	C₁₃×#95	—	4	1	no	—
115	C₁₃×#95	—	4	1	no	—
116	C₁₃×#95	—	4	1	no	—
117	C₁₃×#95	—	4	1	no	—
118	C₁₃×#95	—	4	1	no	—
119	C₁₃×#95	—	4	1	no	—
120	C₁₃×#95	—	4	1	no	—
121	C₁₃×#95	—	4	1	no	—
122	C₁₃×#95	—	4	1	no	—
123	#15040	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
124	C₂⁴×C₁₃	—	2	1	no	—
125	C₂⁴×C₁₃	—	2	1	no	—
126	C₂⁴×C₁₃	—	2	1	no	—
127	C₂⁴×C₁₃	—	2	1	no	—
128	C₂⁴×C₁₃	—	2	1	no	—
129	C₂⁴×C₁₃	—	2	1	no	—
130	C₂⁴×C₁₃	—	2	1	no	—
131	C₂⁴×C₁₃	—	2	1	no	—
132	C₂⁴×C₁₃	—	2	1	no	—
133	C₂⁴×C₁₃	—	2	1	no	—
134	C₂⁴×C₁₃	—	2	1	no	—
135	C₂⁴×C₁₃	—	2	1	no	—
136	C₂⁴×C₁₃	—	2	1	no	—
137	C₂⁴×C₁₃	—	2	1	no	—
138	C₂⁴×C₁₃	#41	1	2	yes	—
139	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
140	C₂²×C₄×C₁₃	—	2	1	no	—
141	C₂²×C₄×C₁₃	—	2	1	no	—
142	C₂²×C₄×C₁₃	—	2	1	no	—
143	C₂²×C₄×C₁₃	—	2	1	no	—
144	C₂²×C₄×C₁₃	—	2	1	no	—
145	C₂²×C₄×C₁₃	—	2	1	no	—
146	C₂²×C₄×C₁₃	—	2	1	no	—
147	C₂²×C₄×C₁₃	—	2	1	no	—
148	C₂²×C₄×C₁₃	—	2	1	no	—
149	C₂²×C₄×C₁₃	—	2	1	no	—
150	C₂²×C₄×C₁₃	—	2	1	no	—
151	C₂²×C₄×C₁₃	—	2	1	no	—
152	C₂²×C₄×C₁₃	—	2	1	no	—
153	C₂²×C₄×C₁₃	—	2	1	no	—
154	C₂²×C₄×C₁₃	—	2	1	no	—
155	C₂²×C₄×C₁₃	—	2	1	no	—
156	C₂²×C₄×C₁₃	—	2	1	no	—
157	C₂²×C₄×C₁₃	—	2	1	no	—
158	C₂²×C₄×C₁₃	—	2	1	no	—
159	C₂²×C₄×C₁₃	—	2	1	no	—
160	C₂²×C₄×C₁₃	—	2	1	no	—
161	C₂²×C₄×C₁₃	—	2	1	no	—
162	C₂²×C₄×C₁₃	—	2	1	no	—
163	C₂²×C₄×C₁₃	—	2	1	no	—
164	C₂²×C₄×C₁₃	—	2	1	no	—
165	C₂²×C₄×C₁₃	—	2	1	no	—
166	C₂²×C₄×C₁₃	—	2	1	no	—
167	C₂²×C₄×C₁₃	—	2	1	no	—
168	C₂²×C₄×C₁₃	—	2	1	no	—
169	C₂²×C₄×C₁₃	—	2	1	no	—
170	C₂²×C₄×C₁₃	—	2	1	no	—
171	C₂²×C₄×C₁₃	—	2	1	no	—
172	C₂²×C₄×C₁₃	—	2	1	no	—
173	C₂²×C₄×C₁₃	—	2	1	no	—
174	C₂²×C₄×C₁₃	—	2	1	no	—
175	C₂²×C₄×C₁₃	—	2	1	no	—
176	C₂²×C₄×C₁₃	—	2	1	no	—
177	C₂²×C₄×C₁₃	—	2	1	no	—
178	C₂²×C₄×C₁₃	—	2	1	no	—
179	C₂²×C₄×C₁₃	—	2	1	no	—
180	C₂²×C₄×C₁₃	—	2	1	no	—
181	C₂²×C₄×C₁₃	—	2	1	no	—
182	C₂²×C₄×C₁₃	—	2	1	no	—
183	C₂²×C₄×C₁₃	—	2	1	no	—
184	C₂²×C₄×C₁₃	—	2	1	no	—
185	C₂²×C₄×C₁₃	—	2	1	no	—
186	C₂²×C₄×C₁₃	—	2	1	no	—
187	C₂²×C₄×C₁₃	—	2	1	no	—
188	C₂²×C₄×C₁₃	—	2	1	no	—
189	C₂²×C₄×C₁₃	—	2	1	no	—
190	C₂²×C₄×C₁₃	—	2	1	no	—
191	C₂²×C₄×C₁₃	—	2	1	no	—
192	C₂²×C₄×C₁₃	—	2	1	no	—
193	C₂²×C₄×C₁₃	—	2	1	no	—
194	C₂²×C₄×C₁₃	—	2	1	no	—
195	C₂²×C₄×C₁₃	—	2	1	no	—
196	C₂²×C₄×C₁₃	—	2	1	no	—
197	C₂²×C₄×C₁₃	—	2	1	no	—
198	C₂²×C₄×C₁₃	—	2	1	no	—
199	C₂²×C₄×C₁₃	—	2	1	no	—
200	C₂²×C₄×C₁₃	—	2	1	no	—
201	C₂²×C₄×C₁₃	—	2	1	no	—
202	C₂²×C₄×C₁₃	—	2	1	no	—
203	C₂²×C₄×C₁₃	—	2	1	no	—
204	C₂²×C₄×C₁₃	—	2	1	no	—
205	C₂²×C₄×C₁₃	—	2	1	no	—
206	C₂²×C₄×C₁₃	—	2	1	no	—
207	C₂²×C₄×C₁₃	—	2	1	no	—
208	C₂²×C₄×C₁₃	—	2	1	no	—
209	C₂²×C₄×C₁₃	—	2	1	no	—
210	C₂²×C₄×C₁₃	—	2	1	no	—
211	C₂²×C₄×C₁₃	—	2	1	no	—
212	C₂²×C₄×C₁₃	—	2	1	no	—
213	C₂²×C₄×C₁₃	—	2	1	no	—
214	C₂²×C₄×C₁₃	—	2	1	no	—
215	C₂²×C₄×C₁₃	—	2	1	no	—
216	C₂²×C₄×C₁₃	—	2	1	no	—
217	C₂²×C₄×C₁₃	—	2	1	no	—
218	C₂²×C₄×C₁₃	—	2	1	no	—
219	C₂²×C₄×C₁₃	—	2	1	no	—
220	C₂²×C₄×C₁₃	—	2	1	no	—
221	C₂²×C₄×C₁₃	—	2	1	no	—
222	C₂²×C₄×C₁₃	—	2	1	no	—
223	C₂²×C₄×C₁₃	—	2	1	no	—
224	C₂²×C₄×C₁₃	—	2	1	no	—
225	C₂²×C₄×C₁₃	—	2	1	no	—
226	C₂²×C₄×C₁₃	—	2	1	no	—
227	C₂²×C₄×C₁₃	—	2	1	no	—
228	C₂²×C₄×C₁₃	#41	1	2	yes	—
229	C₂²×C₄×C₁₃	#41	1	2	yes	—
230	C₂²×C₄×C₁₃	#41	1	2	yes	—
231	C₂²×C₄×C₁₃	#41	1	2	yes	—
232	C₂²×C₄×C₁₃	#41	1	2	yes	—
233	C₂²×C₄×C₁₃	#41	1	2	yes	—
234	C₂²×C₄×C₁₃	#41	1	2	yes	—
235	C₂²×C₄×C₁₃	#41	1	2	yes	—
236	C₂²×C₄×C₁₃	#41	1	2	yes	—
237	C₂²×C₄×C₁₃	#41	1	2	yes	—
238	C₁₃×C₄⋊C₄	—	4	4	no	—
239	C₁₃×C₂²⋊C₄	—	4	4	no	—
240	C₁₃×C₂²⋊C₄	—	4	4	no	—
241	C₁₃×C₂²⋊C₄	—	4	4	no	—
242	C₁₃×C₂²⋊C₄	—	4	4	no	—
243	C₁₃×C₂²⋊C₄	—	4	4	no	—
244	C₁₃×C₂²⋊C₄	—	4	4	no	—
245	C₁₃×C₂²⋊C₄	—	4	4	no	—
246	C₄²×C₁₃	—	4	4	no	—
247	C₄²×C₁₃	—	4	4	no	—
248	C₄²×C₁₃	—	4	4	no	—
249	#1443	C₂×C₁₃	1	1	yes	characteristic, complemented
250	#1443	C₂×C₁₃	1	1	yes	characteristic, complemented
251	#1443	C₂×C₁₃	1	1	yes	characteristic, complemented
252	#1442	C₂×C₁₃	1	1	yes	characteristic, complemented
253	#1440	C₂×C₁₃	1	1	yes	characteristic
254	#1440	C₂×C₁₃	1	1	yes	characteristic
255	#1440	C₂×C₁₃	1	1	yes	characteristic
256	#1439	C₂×C₁₃	1	1	yes	characteristic
257	#1437	C₂×C₁₃	1	1	yes	characteristic
258	#1437	C₂×C₁₃	1	1	yes	characteristic
259	#1437	C₂×C₁₃	1	1	yes	characteristic
260	#1436	C₂×C₁₃	1	1	yes	characteristic, complemented
261	#1434	C₂×C₁₃	1	1	yes	characteristic, complemented
262	#1434	C₂×C₁₃	1	1	yes	characteristic, complemented
263	C₄×#95	C₂×C₁₃	1	1	yes	characteristic, complemented
264	C₂³×C₁₃	—	2	2	no	—
265	C₂³×C₁₃	—	2	2	no	—
266	C₂³×C₁₃	—	2	2	no	—
267	C₂³×C₁₃	—	2	2	no	—
268	C₂³×C₁₃	—	2	2	no	—
269	C₂³×C₁₃	—	2	2	no	—
270	C₂³×C₁₃	—	2	2	no	—
271	C₂³×C₁₃	—	4	1	no	—
272	C₂³×C₁₃	—	4	1	no	—
273	C₂³×C₁₃	—	4	1	no	—
274	C₂³×C₁₃	—	4	1	no	—
275	C₂³×C₁₃	—	4	1	no	—
276	C₂³×C₁₃	—	4	1	no	—
277	C₂³×C₁₃	—	4	1	no	—
278	C₂³×C₁₃	—	4	1	no	—
279	C₂³×C₁₃	—	4	1	no	—
280	C₂³×C₁₃	—	4	1	no	—
281	C₂³×C₁₃	—	4	1	no	—
282	C₂³×C₁₃	—	4	1	no	—
283	C₂³×C₁₃	—	4	1	no	—
284	C₂³×C₁₃	—	4	1	no	—
285	C₂³×C₁₃	—	4	1	no	—
286	C₂³×C₁₃	—	4	1	no	—
287	C₂³×C₁₃	—	4	1	no	—
288	C₂³×C₁₃	—	4	1	no	—
289	C₂³×C₁₃	—	4	1	no	—
290	C₂³×C₁₃	—	4	1	no	—
291	C₂³×C₁₃	—	4	1	no	—
292	C₂³×C₁₃	—	4	1	no	—
293	C₂³×C₁₃	—	4	1	no	—
294	C₂³×C₁₃	—	4	1	no	—
295	C₂³×C₁₃	—	4	1	no	—
296	C₂³×C₁₃	—	4	1	no	—
297	C₂³×C₁₃	—	4	1	no	—
298	C₂³×C₁₃	—	4	1	no	—
299	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
300	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
301	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
302	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
303	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
304	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
305	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
306	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
307	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
308	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
309	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
310	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
311	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
312	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
313	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
314	C₂×C₄×C₁₃	—	2	2	no	—
315	C₂×C₄×C₁₃	—	2	2	no	—
316	C₂×C₄×C₁₃	—	2	2	no	—
317	C₂×C₄×C₁₃	—	2	2	no	—
318	C₂×C₄×C₁₃	—	2	2	no	—
319	C₂×C₄×C₁₃	—	2	2	no	—
320	C₂×C₄×C₁₃	—	2	2	no	—
321	C₂×C₄×C₁₃	—	2	2	no	—
322	C₂×C₄×C₁₃	—	2	2	no	—
323	C₂×C₄×C₁₃	—	2	2	no	—
324	C₂×C₄×C₁₃	—	2	2	no	—
325	C₂×C₄×C₁₃	—	2	2	no	—
326	C₂×C₄×C₁₃	—	2	2	no	—
327	C₂×C₄×C₁₃	—	2	2	no	—
328	C₂×C₄×C₁₃	—	2	2	no	—
329	C₂×C₄×C₁₃	—	2	2	no	—
330	C₂×C₄×C₁₃	—	2	2	no	—
331	C₂×C₄×C₁₃	—	2	2	no	—
332	C₂×C₄×C₁₃	—	2	2	no	—
333	C₂×C₄×C₁₃	—	2	2	no	—
334	C₂×C₄×C₁₃	—	2	2	no	—
335	C₂×C₄×C₁₃	—	2	2	no	—
336	C₂×C₄×C₁₃	—	2	2	no	—
337	C₂×C₄×C₁₃	—	2	2	no	—
338	C₂×C₄×C₁₃	—	2	2	no	—
339	C₂×C₄×C₁₃	—	2	2	no	—
340	C₂×C₄×C₁₃	—	2	2	no	—
341	C₂×C₄×C₁₃	—	4	1	no	—
342	C₂×C₄×C₁₃	—	4	1	no	—
343	C₂×C₄×C₁₃	—	4	1	no	—
344	C₂×C₄×C₁₃	—	4	1	no	—
345	C₂×C₄×C₁₃	—	4	1	no	—
346	C₂×C₄×C₁₃	—	4	1	no	—
347	C₂×C₄×C₁₃	—	4	1	no	—
348	C₂×C₄×C₁₃	—	4	1	no	—
349	C₂×C₄×C₁₃	—	4	1	no	—
350	C₂×C₄×C₁₃	—	4	1	no	—
351	C₂×C₄×C₁₃	—	4	1	no	—
352	C₂×C₄×C₁₃	—	4	1	no	—
353	C₂×C₄×C₁₃	—	4	1	no	—
354	C₂×C₄×C₁₃	—	4	1	no	—
355	C₂×C₄×C₁₃	—	4	1	no	—
356	C₂×C₄×C₁₃	—	4	1	no	—
357	C₂×C₄×C₁₃	—	4	1	no	—
358	C₂×C₄×C₁₃	—	4	1	no	—
359	C₂×C₄×C₁₃	—	4	1	no	—
360	C₂×C₄×C₁₃	—	4	1	no	—
361	C₂×C₄×C₁₃	—	4	1	no	—
362	C₂×C₄×C₁₃	—	4	1	no	—
363	C₂×C₄×C₁₃	—	4	1	no	—
364	C₂×C₄×C₁₃	—	4	1	no	—
365	C₂×C₄×C₁₃	—	4	1	no	—
366	C₂×C₄×C₁₃	—	4	1	no	—
367	C₂×C₄×C₁₃	—	4	1	no	—
368	C₂×C₄×C₁₃	—	4	1	no	—
369	C₂×C₄×C₁₃	—	4	1	no	—
370	C₂×C₄×C₁₃	—	4	1	no	—
371	C₂×C₄×C₁₃	—	4	1	no	—
372	C₂×C₄×C₁₃	—	4	1	no	—
373	C₂×C₄×C₁₃	—	4	1	no	—
374	C₂×C₄×C₁₃	—	4	1	no	—
375	C₂×C₄×C₁₃	—	4	1	no	—
376	C₂×C₄×C₁₃	—	4	1	no	—
377	C₂×C₄×C₁₃	—	4	1	no	—
378	C₂×C₄×C₁₃	—	4	1	no	—
379	C₂×C₄×C₁₃	—	4	1	no	—
380	C₂×C₄×C₁₃	—	4	1	no	—
381	C₂×C₄×C₁₃	—	4	1	no	—
382	C₂×C₄×C₁₃	—	4	1	no	—
383	C₂×C₄×C₁₃	—	4	1	no	—
384	C₂×C₄×C₁₃	—	4	1	no	—
385	C₂×C₄×C₁₃	—	4	1	no	—
386	C₂×C₄×C₁₃	—	4	1	no	—
387	C₂×C₄×C₁₃	—	4	1	no	—
388	C₂×C₄×C₁₃	—	4	1	no	—
389	C₂×C₄×C₁₃	—	4	1	no	—
390	C₂×C₄×C₁₃	—	4	1	no	—
391	C₂×C₄×C₁₃	—	4	1	no	—
392	C₂×C₄×C₁₃	—	4	1	no	—
393	C₂×C₄×C₁₃	—	4	1	no	—
394	C₂×C₄×C₁₃	—	4	1	no	—
395	C₂×C₄×C₁₃	—	4	1	no	—
396	C₂×C₄×C₁₃	—	4	1	no	—
397	C₂×C₄×C₁₃	—	4	1	no	—
398	C₂×C₄×C₁₃	—	4	1	no	—
399	C₂×C₄×C₁₃	—	4	1	no	—
400	C₂×C₄×C₁₃	—	4	1	no	—
401	C₂×C₄×C₁₃	—	4	1	no	—
402	C₂×C₄×C₁₃	—	4	1	no	—
403	C₂×C₄×C₁₃	—	4	1	no	—
404	C₂×C₄×C₁₃	—	4	1	no	—
405	C₂×C₄×C₁₃	—	4	1	no	—
406	C₂×C₄×C₁₃	—	4	1	no	—
407	C₂×C₄×C₁₃	—	4	1	no	—
408	C₂×C₄×C₁₃	—	4	1	no	—
409	C₂×C₄×C₁₃	—	4	1	no	—
410	C₂×C₄×C₁₃	—	4	1	no	—
411	C₂×C₄×C₁₃	#126	1	4	yes	—
412	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
413	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
414	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
415	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
416	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
417	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
418	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
419	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
420	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
421	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
422	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
423	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
424	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
425	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
426	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
427	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
428	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
429	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
430	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
431	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
432	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
433	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
434	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
435	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
436	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
437	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
438	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
439	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
440	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
441	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
442	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
443	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
444	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
445	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
446	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
447	C₂²×C₁₃	—	4	2	no	—
448	C₂²×C₁₃	—	4	2	no	—
449	C₂²×C₁₃	—	4	2	no	—
450	C₂²×C₁₃	—	4	2	no	—
451	C₂²×C₁₃	—	4	2	no	—
452	C₂²×C₁₃	—	4	2	no	—
453	C₂²×C₁₃	—	4	2	no	—
454	C₂²×C₁₃	—	8	1	no	—
455	C₂²×C₁₃	—	8	1	no	—
456	C₂²×C₁₃	—	8	1	no	—
457	C₂²×C₁₃	—	8	1	no	—
458	C₂²×C₁₃	—	8	1	no	—
459	C₂²×C₁₃	—	8	1	no	—
460	C₂²×C₁₃	—	8	1	no	—
461	C₂²×C₁₃	—	8	1	no	—
462	C₂²×C₁₃	C₂×#126	1	1	yes	characteristic
463	C₂²×C₁₃	#529	1	1	yes	characteristic
464	C₂²×C₁₃	#529	1	1	yes	characteristic
465	C₂²×C₁₃	#529	1	1	yes	characteristic
466	C₂²×C₁₃	#529	1	1	yes	characteristic
467	C₂²×C₁₃	#529	1	1	yes	characteristic
468	C₂²×C₁₃	#529	1	1	yes	characteristic
469	C₂²×C₁₃	#529	1	1	yes	characteristic
470	C₂²×C₁₃	#529	1	1	yes	characteristic
471	C₂²×C₁₃	#529	1	1	yes	characteristic
472	C₂²×C₁₃	#529	1	1	yes	characteristic
473	C₂²×C₁₃	#529	1	1	yes	characteristic
474	C₂²×C₁₃	#529	1	1	yes	characteristic
475	C₂²×C₁₃	#538	1	1	yes	characteristic
476	C₂²×C₁₃	#538	1	1	yes	characteristic
477	C₂²×C₁₃	#538	1	1	yes	characteristic
478	C₂²×C₁₃	#538	1	1	yes	characteristic
479	C₂²×C₁₃	#540	1	1	yes	characteristic
480	C₂²×C₁₃	#540	1	1	yes	characteristic
481	C₂²×C₁₃	#551	1	1	yes	characteristic
482	C₂²×C₁₃	#551	1	1	yes	characteristic
483	C₂²×C₁₃	#551	1	1	yes	characteristic
484	C₂²×C₁₃	#551	1	1	yes	characteristic
485	C₂²×C₁₃	#551	1	1	yes	characteristic
486	C₂²×C₁₃	#551	1	1	yes	characteristic
487	C₂²×C₁₃	#553	1	1	yes	characteristic
488	C₂²×C₁₃	#553	1	1	yes	characteristic
489	C₂²×C₁₃	#553	1	1	yes	characteristic
490	C₂²×C₁₃	#553	1	1	yes	characteristic
491	C₂²×C₁₃	#553	1	1	yes	characteristic
492	C₂²×C₁₃	#553	1	1	yes	characteristic
493	C₂²×C₁₃	#555	1	1	yes	characteristic
494	C₂²×C₁₃	#555	1	1	yes	characteristic
495	C₂²×C₁₃	#559	1	1	yes	characteristic
496	C₂²×C₁₃	#559	1	1	yes	characteristic
497	C₄×C₁₃	—	2	4	no	—
498	C₄×C₁₃	—	4	2	no	—
499	C₄×C₁₃	—	4	2	no	—
500	C₄×C₁₃	—	4	2	no	—
501	C₄×C₁₃	—	4	2	no	—
502	C₄×C₁₃	—	4	2	no	—
503	C₄×C₁₃	—	4	2	no	—
504	C₄×C₁₃	—	4	2	no	—
505	C₄×C₁₃	—	8	1	no	—
506	C₄×C₁₃	—	8	1	no	—
507	C₄×C₁₃	—	8	1	no	—
508	C₄×C₁₃	—	8	1	no	—
509	C₄×C₁₃	—	8	1	no	—
510	C₄×C₁₃	—	8	1	no	—
511	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
512	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
513	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
514	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
515	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
516	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
517	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
518	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
519	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
520	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
521	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
522	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
523	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
524	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
525	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
526	C₂×C₄⋊C₄	—	2	2	no	—
527	C₂×C₄⋊C₄	—	4	1	no	—
528	C₂×C₄⋊C₄	—	4	1	no	—
529	C₂×C₂²⋊C₄	—	2	2	no	—
530	C₂×C₂²⋊C₄	—	2	2	no	—
531	C₂×C₂²⋊C₄	—	2	2	no	—
532	C₂×C₂²⋊C₄	—	2	2	no	—
533	C₂×C₂²⋊C₄	—	2	2	no	—
534	C₂×C₂²⋊C₄	—	2	2	no	—
535	C₂×C₂²⋊C₄	—	2	2	no	—
536	C₂×C₂²⋊C₄	—	2	2	no	—
537	C₂×C₂²⋊C₄	—	2	2	no	—
538	C₂×C₂²⋊C₄	—	2	2	no	—
539	C₂×C₂²⋊C₄	—	2	2	no	—
540	C₂×C₂²⋊C₄	—	2	2	no	—
541	C₂×C₂²⋊C₄	—	2	2	no	—
542	C₂×C₂²⋊C₄	—	4	1	no	—
543	C₂×C₂²⋊C₄	—	4	1	no	—
544	C₂×C₂²⋊C₄	—	4	1	no	—
545	C₂×C₂²⋊C₄	—	4	1	no	—
546	C₂×C₂²⋊C₄	—	4	1	no	—
547	C₂×C₂²⋊C₄	—	4	1	no	—
548	C₂×C₂²⋊C₄	—	4	1	no	—
549	C₂×C₂²⋊C₄	—	4	1	no	—
550	C₂×C₄²	—	2	2	no	—
551	C₂×C₄²	—	2	2	no	—
552	C₂×C₄²	—	2	2	no	—
553	C₂×C₄²	—	2	2	no	—
554	C₂×C₄²	—	2	2	no	—
555	C₂×C₄²	—	4	1	no	—
556	C₂×C₄²	—	4	1	no	—
557	C₂×C₄²	—	4	1	no	—
558	C₂×C₄²	—	4	1	no	—
559	#95	—	2	2	no	—
560	#95	—	2	2	no	—
561	#95	—	2	2	no	—
562	#95	—	2	2	no	—
563	#95	—	2	2	no	—
564	#95	—	2	2	no	—
565	#95	—	2	2	no	—
566	#95	—	2	2	no	—
567	#95	—	2	2	no	—
568	#95	—	2	2	no	—
569	#95	—	2	2	no	—
570	#95	—	2	2	no	—
571	#95	—	2	2	no	—
572	#95	—	2	2	no	—
573	#95	—	4	1	no	—
574	#95	—	4	1	no	—
575	#95	—	4	1	no	—
576	#95	—	4	1	no	—
577	#95	—	4	1	no	—
578	#95	—	4	1	no	—
579	#95	—	4	1	no	—
580	#95	—	4	1	no	—
581	#95	—	4	1	no	—
582	#95	—	4	1	no	—
583	C₂×C₁₃	—	8	2	no	—
584	C₂×C₁₃	#2401	1	1	yes	characteristic
585	C₂×C₁₃	#2510	1	1	yes	characteristic
586	C₂×C₁₃	#2513	1	1	yes	characteristic
587	C₂×C₁₃	#2516	1	1	yes	characteristic
588	C₂×C₁₃	#2518	1	1	yes	characteristic
589	C₂×C₁₃	#2526	1	1	yes	characteristic
590	C₂×C₁₃	#2531	1	1	yes	characteristic
591	C₂×C₁₃	#2572	1	1	yes	characteristic
592	C₂×C₁₃	#2576	1	1	yes	characteristic
593	C₂×C₁₃	#2578	1	1	yes	characteristic
594	C₂×C₁₃	#2593	1	1	yes	characteristic
595	C₂×C₁₃	#2595	1	1	yes	characteristic
596	C₂×C₁₃	#2597	1	1	yes	characteristic
597	C₂×C₁₃	#2648	1	1	yes	characteristic
598	C₂×C₁₃	#2865	1	1	yes	characteristic
599	C₂⁴	—	2	1	no	—
600	C₂⁴	—	2	1	no	—
601	C₂⁴	—	2	1	no	—
602	C₂⁴	—	2	1	no	—
603	C₂⁴	—	2	1	no	—
604	C₂⁴	—	2	1	no	—
605	C₂⁴	—	2	1	no	—
606	C₂⁴	—	2	1	no	—
607	C₂⁴	—	2	1	no	—
608	C₂⁴	—	2	1	no	—
609	C₂⁴	—	2	1	no	—
610	C₂⁴	—	2	1	no	—
611	C₂⁴	—	2	1	no	—
612	C₂⁴	—	2	1	no	—
613	C₂⁴	C₁₃×#41	1	2	yes	—
614	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
615	C₂²×C₄	—	2	1	no	—
616	C₂²×C₄	—	2	1	no	—
617	C₂²×C₄	—	2	1	no	—
618	C₂²×C₄	—	2	1	no	—
619	C₂²×C₄	—	2	1	no	—
620	C₂²×C₄	—	2	1	no	—
621	C₂²×C₄	—	2	1	no	—
622	C₂²×C₄	—	2	1	no	—
623	C₂²×C₄	—	2	1	no	—
624	C₂²×C₄	—	2	1	no	—
625	C₂²×C₄	—	2	1	no	—
626	C₂²×C₄	—	2	1	no	—
627	C₂²×C₄	—	2	1	no	—
628	C₂²×C₄	—	2	1	no	—
629	C₂²×C₄	—	2	1	no	—
630	C₂²×C₄	—	2	1	no	—
631	C₂²×C₄	—	2	1	no	—
632	C₂²×C₄	—	2	1	no	—
633	C₂²×C₄	—	2	1	no	—
634	C₂²×C₄	—	2	1	no	—
635	C₂²×C₄	—	2	1	no	—
636	C₂²×C₄	—	2	1	no	—
637	C₂²×C₄	—	2	1	no	—
638	C₂²×C₄	—	2	1	no	—
639	C₂²×C₄	—	2	1	no	—
640	C₂²×C₄	—	2	1	no	—
641	C₂²×C₄	—	2	1	no	—
642	C₂²×C₄	—	2	1	no	—
643	C₂²×C₄	—	2	1	no	—
644	C₂²×C₄	—	2	1	no	—
645	C₂²×C₄	—	2	1	no	—
646	C₂²×C₄	—	2	1	no	—
647	C₂²×C₄	—	2	1	no	—
648	C₂²×C₄	—	2	1	no	—
649	C₂²×C₄	—	2	1	no	—
650	C₂²×C₄	—	2	1	no	—
651	C₂²×C₄	—	2	1	no	—
652	C₂²×C₄	—	2	1	no	—
653	C₂²×C₄	—	2	1	no	—
654	C₂²×C₄	—	2	1	no	—
655	C₂²×C₄	—	2	1	no	—
656	C₂²×C₄	—	2	1	no	—
657	C₂²×C₄	—	2	1	no	—
658	C₂²×C₄	—	2	1	no	—
659	C₂²×C₄	—	2	1	no	—
660	C₂²×C₄	—	2	1	no	—
661	C₂²×C₄	—	2	1	no	—
662	C₂²×C₄	—	2	1	no	—
663	C₂²×C₄	—	2	1	no	—
664	C₂²×C₄	—	2	1	no	—
665	C₂²×C₄	—	2	1	no	—
666	C₂²×C₄	—	2	1	no	—
667	C₂²×C₄	—	2	1	no	—
668	C₂²×C₄	—	2	1	no	—
669	C₂²×C₄	—	2	1	no	—
670	C₂²×C₄	—	2	1	no	—
671	C₂²×C₄	—	2	1	no	—
672	C₂²×C₄	—	2	1	no	—
673	C₂²×C₄	—	2	1	no	—
674	C₂²×C₄	—	2	1	no	—
675	C₂²×C₄	—	2	1	no	—
676	C₂²×C₄	—	2	1	no	—
677	C₂²×C₄	—	2	1	no	—
678	C₂²×C₄	—	2	1	no	—
679	C₂²×C₄	—	2	1	no	—
680	C₂²×C₄	—	2	1	no	—
681	C₂²×C₄	—	2	1	no	—
682	C₂²×C₄	—	2	1	no	—
683	C₂²×C₄	—	2	1	no	—
684	C₂²×C₄	—	2	1	no	—
685	C₂²×C₄	—	2	1	no	—
686	C₂²×C₄	—	2	1	no	—
687	C₂²×C₄	—	2	1	no	—
688	C₂²×C₄	—	2	1	no	—
689	C₂²×C₄	—	2	1	no	—
690	C₂²×C₄	—	2	1	no	—
691	C₂²×C₄	—	2	1	no	—
692	C₂²×C₄	—	2	1	no	—
693	C₂²×C₄	—	2	1	no	—
694	C₂²×C₄	—	2	1	no	—
695	C₂²×C₄	—	2	1	no	—
696	C₂²×C₄	—	2	1	no	—
697	C₂²×C₄	—	2	1	no	—
698	C₂²×C₄	—	2	1	no	—
699	C₂²×C₄	—	2	1	no	—
700	C₂²×C₄	—	2	1	no	—
701	C₂²×C₄	—	2	1	no	—
702	C₂²×C₄	—	2	1	no	—
703	C₂²×C₄	C₁₃×#41	1	2	yes	—
704	C₂²×C₄	C₁₃×#41	1	2	yes	—
705	C₂²×C₄	C₁₃×#41	1	2	yes	—
706	C₂²×C₄	C₁₃×#41	1	2	yes	—
707	C₂²×C₄	C₁₃×#41	1	2	yes	—
708	C₂²×C₄	C₁₃×#41	1	2	yes	—
709	C₂²×C₄	C₁₃×#41	1	2	yes	—
710	C₂²×C₄	C₁₃×#41	1	2	yes	—
711	C₂²×C₄	C₁₃×#41	1	2	yes	—
712	C₂²×C₄	C₁₃×#41	1	2	yes	—
713	C₄⋊C₄	—	4	4	no	—
714	C₂²⋊C₄	—	4	4	no	—
715	C₂²⋊C₄	—	4	4	no	—
716	C₂²⋊C₄	—	4	4	no	—
717	C₂²⋊C₄	—	4	4	no	—
718	C₂²⋊C₄	—	4	4	no	—
719	C₂²⋊C₄	—	4	4	no	—
720	C₂²⋊C₄	—	4	4	no	—
721	C₄²	—	4	4	no	—
722	C₄²	—	4	4	no	—
723	C₄²	—	4	4	no	—
724	C₁₃	#15040	1	1	yes	characteristic, direct product factor, Sylow
725	C₂³	—	2	2	no	—
726	C₂³	—	2	2	no	—
727	C₂³	—	2	2	no	—
728	C₂³	—	2	2	no	—
729	C₂³	—	2	2	no	—
730	C₂³	—	2	2	no	—
731	C₂³	—	2	2	no	—
732	C₂³	—	4	1	no	—
733	C₂³	—	4	1	no	—
734	C₂³	—	4	1	no	—
735	C₂³	—	4	1	no	—
736	C₂³	—	4	1	no	—
737	C₂³	—	4	1	no	—
738	C₂³	—	4	1	no	—
739	C₂³	—	4	1	no	—
740	C₂³	—	4	1	no	—
741	C₂³	—	4	1	no	—
742	C₂³	—	4	1	no	—
743	C₂³	—	4	1	no	—
744	C₂³	—	4	1	no	—
745	C₂³	—	4	1	no	—
746	C₂³	—	4	1	no	—
747	C₂³	—	4	1	no	—
748	C₂³	—	4	1	no	—
749	C₂³	—	4	1	no	—
750	C₂³	—	4	1	no	—
751	C₂³	—	4	1	no	—
752	C₂³	—	4	1	no	—
753	C₂³	—	4	1	no	—
754	C₂³	—	4	1	no	—
755	C₂³	—	4	1	no	—
756	C₂³	—	4	1	no	—
757	C₂³	—	4	1	no	—
758	C₂³	—	4	1	no	—
759	C₂³	—	4	1	no	—
760	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
761	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
762	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
763	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
764	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
765	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
766	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
767	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
768	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
769	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
770	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
771	C₂³	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
772	C₂³	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
773	C₂³	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
774	C₂³	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
775	C₂×C₄	—	2	2	no	—
776	C₂×C₄	—	2	2	no	—
777	C₂×C₄	—	2	2	no	—
778	C₂×C₄	—	2	2	no	—
779	C₂×C₄	—	2	2	no	—
780	C₂×C₄	—	2	2	no	—
781	C₂×C₄	—	2	2	no	—
782	C₂×C₄	—	2	2	no	—
783	C₂×C₄	—	2	2	no	—
784	C₂×C₄	—	2	2	no	—
785	C₂×C₄	—	2	2	no	—
786	C₂×C₄	—	2	2	no	—
787	C₂×C₄	—	2	2	no	—
788	C₂×C₄	—	2	2	no	—
789	C₂×C₄	—	2	2	no	—
790	C₂×C₄	—	2	2	no	—
791	C₂×C₄	—	2	2	no	—
792	C₂×C₄	—	2	2	no	—
793	C₂×C₄	—	2	2	no	—
794	C₂×C₄	—	2	2	no	—
795	C₂×C₄	—	2	2	no	—
796	C₂×C₄	—	2	2	no	—
797	C₂×C₄	—	2	2	no	—
798	C₂×C₄	—	2	2	no	—
799	C₂×C₄	—	2	2	no	—
800	C₂×C₄	—	2	2	no	—
801	C₂×C₄	—	2	2	no	—
802	C₂×C₄	—	4	1	no	—
803	C₂×C₄	—	4	1	no	—
804	C₂×C₄	—	4	1	no	—
805	C₂×C₄	—	4	1	no	—
806	C₂×C₄	—	4	1	no	—
807	C₂×C₄	—	4	1	no	—
808	C₂×C₄	—	4	1	no	—
809	C₂×C₄	—	4	1	no	—
810	C₂×C₄	—	4	1	no	—
811	C₂×C₄	—	4	1	no	—
812	C₂×C₄	—	4	1	no	—
813	C₂×C₄	—	4	1	no	—
814	C₂×C₄	—	4	1	no	—
815	C₂×C₄	—	4	1	no	—
816	C₂×C₄	—	4	1	no	—
817	C₂×C₄	—	4	1	no	—
818	C₂×C₄	—	4	1	no	—
819	C₂×C₄	—	4	1	no	—
820	C₂×C₄	—	4	1	no	—
821	C₂×C₄	—	4	1	no	—
822	C₂×C₄	—	4	1	no	—
823	C₂×C₄	—	4	1	no	—
824	C₂×C₄	—	4	1	no	—
825	C₂×C₄	—	4	1	no	—
826	C₂×C₄	—	4	1	no	—
827	C₂×C₄	—	4	1	no	—
828	C₂×C₄	—	4	1	no	—
829	C₂×C₄	—	4	1	no	—
830	C₂×C₄	—	4	1	no	—
831	C₂×C₄	—	4	1	no	—
832	C₂×C₄	—	4	1	no	—
833	C₂×C₄	—	4	1	no	—
834	C₂×C₄	—	4	1	no	—
835	C₂×C₄	—	4	1	no	—
836	C₂×C₄	—	4	1	no	—
837	C₂×C₄	—	4	1	no	—
838	C₂×C₄	—	4	1	no	—
839	C₂×C₄	—	4	1	no	—
840	C₂×C₄	—	4	1	no	—
841	C₂×C₄	—	4	1	no	—
842	C₂×C₄	—	4	1	no	—
843	C₂×C₄	—	4	1	no	—
844	C₂×C₄	—	4	1	no	—
845	C₂×C₄	—	4	1	no	—
846	C₂×C₄	—	4	1	no	—
847	C₂×C₄	—	4	1	no	—
848	C₂×C₄	—	4	1	no	—
849	C₂×C₄	—	4	1	no	—
850	C₂×C₄	—	4	1	no	—
851	C₂×C₄	—	4	1	no	—
852	C₂×C₄	—	4	1	no	—
853	C₂×C₄	—	4	1	no	—
854	C₂×C₄	—	4	1	no	—
855	C₂×C₄	—	4	1	no	—
856	C₂×C₄	—	4	1	no	—
857	C₂×C₄	—	4	1	no	—
858	C₂×C₄	—	4	1	no	—
859	C₂×C₄	—	4	1	no	—
860	C₂×C₄	—	4	1	no	—
861	C₂×C₄	—	4	1	no	—
862	C₂×C₄	—	4	1	no	—
863	C₂×C₄	—	4	1	no	—
864	C₂×C₄	—	4	1	no	—
865	C₂×C₄	—	4	1	no	—
866	C₂×C₄	—	4	1	no	—
867	C₂×C₄	—	4	1	no	—
868	C₂×C₄	—	4	1	no	—
869	C₂×C₄	—	4	1	no	—
870	C₂×C₄	—	4	1	no	—
871	C₂×C₄	—	4	1	no	—
872	C₂×C₄	C₁₃×#126	1	4	yes	—
873	C₂²	—	4	2	no	—
874	C₂²	—	4	2	no	—
875	C₂²	—	4	2	no	—
876	C₂²	—	4	2	no	—
877	C₂²	—	4	2	no	—
878	C₂²	—	4	2	no	—
879	C₂²	—	4	2	no	—
880	C₂²	—	8	1	no	—
881	C₂²	—	8	1	no	—
882	C₂²	—	8	1	no	—
883	C₂²	—	8	1	no	—
884	C₂²	—	8	1	no	—
885	C₂²	—	8	1	no	—
886	C₂²	—	8	1	no	—
887	C₂²	—	8	1	no	—
888	C₂²	C₂×C₁₃×#126	1	1	yes	characteristic
889	C₂²	C₁₃×#529	1	1	yes	characteristic
890	C₂²	C₁₃×#529	1	1	yes	characteristic
891	C₂²	C₁₃×#529	1	1	yes	characteristic
892	C₂²	C₁₃×#529	1	1	yes	characteristic
893	C₂²	C₁₃×#529	1	1	yes	characteristic
894	C₂²	C₁₃×#529	1	1	yes	characteristic
895	C₂²	C₁₃×#529	1	1	yes	characteristic
896	C₂²	C₁₃×#529	1	1	yes	characteristic
897	C₂²	C₁₃×#529	1	1	yes	characteristic
898	C₂²	C₁₃×#529	1	1	yes	characteristic
899	C₂²	C₁₃×#529	1	1	yes	characteristic
900	C₂²	C₁₃×#529	1	1	yes	characteristic
901	C₂²	C₁₃×#538	1	1	yes	characteristic
902	C₂²	C₁₃×#538	1	1	yes	characteristic
903	C₂²	C₁₃×#538	1	1	yes	characteristic
904	C₂²	C₁₃×#538	1	1	yes	characteristic
905	C₂²	C₁₃×#540	1	1	yes	characteristic
906	C₂²	C₁₃×#540	1	1	yes	characteristic
907	C₂²	C₁₃×#551	1	1	yes	characteristic
908	C₂²	C₁₃×#551	1	1	yes	characteristic
909	C₂²	C₁₃×#551	1	1	yes	characteristic
910	C₂²	C₁₃×#551	1	1	yes	characteristic
911	C₂²	C₁₃×#551	1	1	yes	characteristic
912	C₂²	C₁₃×#551	1	1	yes	characteristic
913	C₂²	C₁₃×#553	1	1	yes	characteristic
914	C₂²	C₁₃×#553	1	1	yes	characteristic
915	C₂²	C₁₃×#553	1	1	yes	characteristic
916	C₂²	C₁₃×#553	1	1	yes	characteristic
917	C₂²	C₁₃×#553	1	1	yes	characteristic
918	C₂²	C₁₃×#553	1	1	yes	characteristic
919	C₂²	C₁₃×#555	1	1	yes	characteristic
920	C₂²	C₁₃×#555	1	1	yes	characteristic
921	C₂²	C₁₃×#559	1	1	yes	characteristic
922	C₂²	C₁₃×#559	1	1	yes	characteristic
923	C₄	—	2	4	no	—
924	C₄	—	4	2	no	—
925	C₄	—	4	2	no	—
926	C₄	—	4	2	no	—
927	C₄	—	4	2	no	—
928	C₄	—	4	2	no	—
929	C₄	—	4	2	no	—
930	C₄	—	4	2	no	—
931	C₄	—	8	1	no	—
932	C₄	—	8	1	no	—
933	C₄	—	8	1	no	—
934	C₄	—	8	1	no	—
935	C₄	—	8	1	no	—
936	C₄	—	8	1	no	—
937	C₂	—	8	2	no	—
938	C₂	C₁₃×#2401	1	1	yes	characteristic
939	C₂	C₁₃×#2510	1	1	yes	characteristic
940	C₂	C₁₃×#2513	1	1	yes	characteristic
941	C₂	C₁₃×#2516	1	1	yes	characteristic
942	C₂	C₁₃×#2518	1	1	yes	characteristic
943	C₂	C₁₃×#2526	1	1	yes	characteristic
944	C₂	C₁₃×#2531	1	1	yes	characteristic
945	C₂	C₁₃×#2572	1	1	yes	characteristic
946	C₂	C₁₃×#2576	1	1	yes	characteristic
947	C₂	C₁₃×#2578	1	1	yes	characteristic
948	C₂	C₁₃×#2593	1	1	yes	characteristic
949	C₂	C₁₃×#2595	1	1	yes	characteristic
950	C₂	C₁₃×#2597	1	1	yes	characteristic
951	C₂	C₁₃×#2648	1	1	yes	characteristic
952	C₂	C₁₃×#2865	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#1443	C₂	semidirect
2. C₁₃×#1443	C₂	semidirect
3. C₁₃×#1443	C₂	semidirect
4. C₁₃×#1442	C₂	semidirect
12. C₁₃×#1436	C₂	semidirect
13. C₁₃×#1434	C₂	semidirect
14. C₁₃×#1434	C₂	semidirect
15. C₄×C₁₃×#95	C₂	semidirect
123. #15040	C₁₃	direct (N × H)
249. #1443	C₂×C₁₃	semidirect
250. #1443	C₂×C₁₃	semidirect
251. #1443	C₂×C₁₃	semidirect
252. #1442	C₂×C₁₃	semidirect
260. #1436	C₂×C₁₃	semidirect
261. #1434	C₂×C₁₃	semidirect
262. #1434	C₂×C₁₃	semidirect
263. C₄×#95	C₂×C₁₃	semidirect
724. C₁₃	#15040	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#1443	2
C₁₃×#1442	2
C₁₃×#1440	2
C₁₃×#1439	2
C₁₃×#1437	2
C₁₃×#1436	2
C₁₃×#1434	2
C₄×C₁₃×#95	2
#15040	13

Subgroups — C13×#15040 #15701379

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#15040 #15701379