Subgroups — #13128518

Order 1664.

1328 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	#11719534	C₂	1	1	yes	maximal, characteristic, complemented
3	#11719533	C₂	1	1	yes	maximal, characteristic, complemented
4	#11719511	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#88191	C₂	1	1	yes	maximal, characteristic, complemented
6	#11719384	C₂	1	1	yes	maximal, characteristic, complemented
7	#11719383	C₂	1	1	yes	maximal, characteristic, complemented
8	#11719364	C₂	1	1	yes	maximal, characteristic, complemented
9	#11719363	C₂	1	1	yes	maximal, characteristic, complemented
10	#11719362	C₂	1	1	yes	maximal, characteristic, complemented
11	#11719361	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719342	C₂	1	1	yes	maximal, characteristic, complemented
13	#11719339	C₂	1	1	yes	maximal, characteristic, complemented
14	#11719318	C₂	1	1	yes	maximal, characteristic, complemented
15	#11719318	C₂	1	1	yes	maximal, characteristic, complemented
16	#11719317	C₂	1	1	yes	maximal, characteristic, complemented
17	#11719315	C₂	1	1	yes	maximal, characteristic, complemented
18	#11719315	C₂	1	1	yes	maximal, characteristic, complemented
19	#11719311	C₂	1	1	yes	maximal, characteristic, complemented
20	#11719296	C₂	1	1	yes	maximal, characteristic, complemented
21	#11719294	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
23	#11719292	C₂	1	1	yes	maximal, characteristic, complemented
24	#11719261	C₂	1	1	yes	maximal, characteristic, complemented
25	#11719261	C₂	1	1	yes	maximal, characteristic, complemented
26	#11719252	C₂	1	1	yes	maximal, characteristic, complemented
27	#11719250	C₂	1	1	yes	maximal, characteristic, complemented
28	#11719200	C₂	1	1	yes	maximal, characteristic, complemented
29	#11719195	C₂	1	1	yes	maximal, characteristic, complemented
30	#11719191	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂²×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
36	C₂²×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×#6129	C₂²	1	1	yes	characteristic, complemented
38	C₂×#6129	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×#6127	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#120	C₂²	1	1	yes	characteristic
53	C₁₃×#120	C₂²	1	1	yes	characteristic, complemented
54	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	#88207	C₂²	1	1	yes	characteristic
59	#88207	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
63	#88201	C₂²	1	1	yes	characteristic, complemented
64	#88200	C₂²	1	1	yes	characteristic, complemented
65	#88200	C₂²	1	1	yes	characteristic, complemented
66	#88200	C₂²	1	1	yes	characteristic, complemented
67	#88193	C₂²	1	1	yes	characteristic, complemented
68	#88193	C₂²	1	1	yes	characteristic, complemented
69	#88193	C₂²	1	1	yes	characteristic, complemented
70	#88193	C₂²	1	1	yes	characteristic, complemented
71	#88192	C₂²	1	1	yes	characteristic, complemented
72	#88192	C₂²	1	1	yes	characteristic, complemented
73	#88192	C₂²	1	1	yes	characteristic, complemented
74	#88192	C₂²	1	1	yes	characteristic, complemented
75	#88191	C₂²	1	1	yes	characteristic
76	#88191	C₂²	1	1	yes	characteristic
77	#88191	C₂²	1	1	yes	characteristic
78	#88191	C₂²	1	1	yes	characteristic
79	#88191	C₂²	1	1	yes	characteristic
80	#88191	C₂²	1	1	yes	characteristic, complemented
81	#88191	C₂²	1	1	yes	characteristic, complemented
82	#88191	C₂²	1	1	yes	characteristic, complemented
83	#88191	C₂²	1	1	yes	characteristic, complemented
84	#88191	C₂²	1	1	yes	characteristic, complemented
85	#88191	C₂²	1	1	yes	characteristic, complemented
86	#88191	C₂²	1	1	yes	characteristic, complemented
87	#88191	C₂²	1	1	yes	characteristic, complemented
88	#88190	C₂²	1	1	yes	characteristic, complemented
89	#88190	C₂²	1	1	yes	characteristic, complemented
90	#88189	C₂²	1	1	yes	characteristic, complemented
91	#88189	C₂²	1	1	yes	characteristic, complemented
92	#88189	C₂²	1	1	yes	characteristic, complemented
93	#88189	C₂²	1	1	yes	characteristic, complemented
94	#88189	C₂²	1	1	yes	characteristic, complemented
95	D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
96	D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
97	D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
98	#88184	C₂²	1	1	yes	characteristic, complemented
99	#88183	C₂²	1	1	yes	characteristic, complemented
100	#88183	C₂²	1	1	yes	characteristic, complemented
101	#88183	C₂²	1	1	yes	characteristic, complemented
102	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
103	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
104	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
105	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
106	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
107	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
111	C₂×#6103	C₂²	1	1	yes	characteristic
112	C₂×#6103	C₂²	1	1	yes	characteristic, complemented
113	C₂×#6103	C₂²	1	1	yes	characteristic, complemented
114	C₂×#6103	C₂²	1	1	yes	characteristic, complemented
115	C₂×#6103	C₂²	1	1	yes	characteristic, complemented
116	#88180	C₂²	1	1	yes	characteristic, complemented
117	#88178	C₂²	1	1	yes	characteristic, complemented
118	#88178	C₂²	1	1	yes	characteristic, complemented
119	#88152	C₂²	1	1	yes	characteristic, complemented
120	#88152	C₂²	1	1	yes	characteristic, complemented
121	#88152	C₂²	1	1	yes	characteristic, complemented
122	#88151	C₂²	1	1	yes	characteristic, complemented
123	#88151	C₂²	1	1	yes	characteristic, complemented
124	#88150	C₂²	1	1	yes	characteristic, complemented
125	#88150	C₂²	1	1	yes	characteristic, complemented
126	#88150	C₂²	1	1	yes	characteristic, complemented
127	#88150	C₂²	1	1	yes	characteristic, complemented
128	#88150	C₂²	1	1	yes	characteristic, complemented
129	#88148	C₂²	1	1	yes	characteristic, complemented
130	#88148	C₂²	1	1	yes	characteristic, complemented
131	#88147	C₂²	1	1	yes	characteristic, complemented
132	#88147	C₂²	1	1	yes	characteristic, complemented
133	#88146	C₂²	1	1	yes	characteristic, complemented
134	#88146	C₂²	1	1	yes	characteristic, complemented
135	#88140	C₂²	1	1	yes	characteristic, complemented
136	#88140	C₂²	1	1	yes	characteristic, complemented
137	#88139	C₂²	1	1	yes	characteristic, complemented
138	#88139	C₂²	1	1	yes	characteristic, complemented
139	#88139	C₂²	1	1	yes	characteristic, complemented
140	#88139	C₂²	1	1	yes	characteristic, complemented
141	#88138	C₂²	1	1	yes	characteristic, complemented
142	#88138	C₂²	1	1	yes	characteristic, complemented
143	#88138	C₂²	1	1	yes	characteristic, complemented
144	#88138	C₂²	1	1	yes	characteristic, complemented
145	#88137	C₂²	1	1	yes	characteristic, complemented
146	#88137	C₂²	1	1	yes	characteristic, complemented
147	#88137	C₂²	1	1	yes	characteristic, complemented
148	#88137	C₂²	1	1	yes	characteristic, complemented
149	#88137	C₂²	1	1	yes	characteristic, complemented
150	#88137	C₂²	1	1	yes	characteristic, complemented
151	#88136	C₂²	1	1	yes	characteristic
152	#88136	C₂²	1	1	yes	characteristic, complemented
153	#88136	C₂²	1	1	yes	characteristic, complemented
154	#88135	C₂²	1	1	yes	characteristic, complemented
155	#88135	C₂²	1	1	yes	characteristic, complemented
156	#88135	C₂²	1	1	yes	characteristic, complemented
157	#88135	C₂²	1	1	yes	characteristic, complemented
158	#88135	C₂²	1	1	yes	characteristic, complemented
159	#88135	C₂²	1	1	yes	characteristic, complemented
160	#88135	C₂²	1	1	yes	characteristic, complemented
161	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
165	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
172	C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
173	#88133	C₂²	1	1	yes	characteristic, complemented
174	#88133	C₂²	1	1	yes	characteristic, complemented
175	#88133	C₂²	1	1	yes	characteristic, complemented
176	#88133	C₂²	1	1	yes	characteristic, complemented
177	#88132	C₂²	1	1	yes	characteristic, complemented
178	#88132	C₂²	1	1	yes	characteristic, complemented
179	#88132	C₂²	1	1	yes	characteristic, complemented
180	#88131	C₂²	1	1	yes	characteristic, complemented
181	#88131	C₂²	1	1	yes	characteristic, complemented
182	#88131	C₂²	1	1	yes	characteristic, complemented
183	#88130	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
185	#88126	C₂²	1	1	yes	characteristic, complemented
186	#88126	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×C₁₃	C₂³	1	1	yes	characteristic
188	C₂⁴×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×D₁₃	—	2	4	no	—
190	C₂³×D₁₃	—	4	2	no	—
191	C₂³×D₁₃	—	4	2	no	—
192	C₂³×D₁₃	C₂³	1	1	yes	characteristic
193	C₂³×D₁₃	C₂³	1	1	yes	characteristic
194	C₂³×D₁₃	C₂³	1	1	yes	characteristic
195	C₂³×D₁₃	C₂³	1	1	yes	characteristic
196	C₂³×D₁₃	C₂³	1	1	yes	characteristic
197	C₂³×D₁₃	C₂³	1	1	yes	characteristic
198	C₂³×D₁₃	C₂³	1	1	yes	characteristic
199	C₁₃×#41	—	4	2	no	—
200	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
201	C₂×D₄×C₁₃	—	4	2	no	—
202	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
203	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
210	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
211	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
213	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
215	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
216	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
217	C₂×C₂²⋊D₁₃	—	2	4	no	—
218	C₂×C₂²⋊D₁₃	—	4	2	no	—
219	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic, complemented
234	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic, complemented
235	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
240	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
241	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
242	#6129	—	4	2	no	—
243	#6129	—	4	2	no	—
244	D₄×D₁₃	—	2	4	no	—
245	D₄×D₁₃	—	4	2	no	—
246	D₄×D₁₃	—	4	2	no	—
247	#6127	—	4	2	no	—
248	C₂×D₅₂	C₂³	1	1	yes	characteristic
249	C₂×D₅₂	C₂³	1	1	yes	characteristic
250	C₂×D₅₂	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₁₃	—	4	2	no	—
252	C₂×C₄×D₁₃	—	4	2	no	—
253	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
265	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
266	C₂×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
267	C₂×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
268	C₂×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
269	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
270	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
271	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
272	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
273	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
281	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
282	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
283	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
284	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
285	C₄²×C₁₃	C₂³	1	1	yes	characteristic, complemented
286	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
298	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
299	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
300	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
301	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
302	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
303	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
304	#6103	C₂³	1	1	yes	characteristic
305	#6103	C₂³	1	1	yes	characteristic
306	#6103	C₂³	1	1	yes	characteristic
307	#6103	C₂³	1	1	yes	characteristic
308	#6103	C₂³	1	1	yes	characteristic
309	#6103	C₂³	1	1	yes	characteristic
310	#6103	C₂³	1	1	yes	characteristic
311	#6103	C₂³	1	1	yes	characteristic
312	#6103	C₂³	1	1	yes	characteristic
313	#6103	C₂³	1	1	yes	characteristic
314	#6103	C₂³	1	1	yes	characteristic
315	#6103	C₂³	1	1	yes	characteristic
316	#6103	C₂³	1	1	yes	characteristic
317	#6103	C₂³	1	1	yes	characteristic
318	#6103	C₂³	1	1	yes	characteristic
319	#6103	C₂³	1	1	yes	characteristic
320	#6103	C₂³	1	1	yes	characteristic
321	#6103	C₂³	1	1	yes	characteristic
322	#6103	C₂³	1	1	yes	characteristic
323	#6103	C₂³	1	1	yes	characteristic
324	#6103	C₂³	1	1	yes	characteristic
325	#6103	C₂³	1	1	yes	characteristic
326	#6103	C₂³	1	1	yes	characteristic, complemented
327	#6103	C₂³	1	1	yes	characteristic, complemented
328	#6103	C₂³	1	1	yes	characteristic, complemented
329	#6103	C₂³	1	1	yes	characteristic, complemented
330	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
331	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
332	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
333	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
334	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
335	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
336	#6101	C₂³	1	1	yes	characteristic, complemented
337	#6101	C₂³	1	1	yes	characteristic, complemented
338	#6101	C₂³	1	1	yes	characteristic, complemented
339	#6101	C₂³	1	1	yes	characteristic, complemented
340	#6101	C₂³	1	1	yes	characteristic, complemented
341	#6101	C₂³	1	1	yes	characteristic, complemented
342	#6101	C₂³	1	1	yes	characteristic, complemented
343	#6101	C₂³	1	1	yes	characteristic, complemented
344	#6101	C₂³	1	1	yes	characteristic, complemented
345	#6101	C₂³	1	1	yes	characteristic, complemented
346	#6101	C₂³	1	1	yes	characteristic, complemented
347	#6101	C₂³	1	1	yes	characteristic, complemented
348	#6101	C₂³	1	1	yes	characteristic, complemented
349	#6101	C₂³	1	1	yes	characteristic, complemented
350	C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
351	C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
352	C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
353	C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
354	C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
355	C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
356	C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
357	#3490	—	13	1	no	maximal, Sylow
358	C₂³×C₁₃	—	2	2	no	—
359	C₂³×C₁₃	—	2	2	no	—
360	C₂³×C₁₃	—	2	2	no	—
361	C₂³×C₁₃	—	4	1	no	—
362	C₂³×C₁₃	—	4	1	no	—
363	C₂³×C₁₃	—	4	1	no	—
364	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²×D₁₃	—	2	2	no	—
371	C₂²×D₁₃	—	2	2	no	—
372	C₂²×D₁₃	—	2	2	no	—
373	C₂²×D₁₃	—	2	2	no	—
374	C₂²×D₁₃	—	2	2	no	—
375	C₂²×D₁₃	—	2	2	no	—
376	C₂²×D₁₃	—	2	2	no	—
377	C₂²×D₁₃	—	2	2	no	—
378	C₂²×D₁₃	—	2	2	no	—
379	C₂²×D₁₃	—	2	2	no	—
380	C₂²×D₁₃	—	2	2	no	—
381	C₂²×D₁₃	—	4	1	no	—
382	C₂²×D₁₃	—	4	1	no	—
383	C₂²×D₁₃	—	4	1	no	—
384	C₂²×D₁₃	—	4	1	no	—
385	C₂²×D₁₃	—	4	1	no	—
386	C₂²×D₁₃	—	4	1	no	—
387	C₂²×D₁₃	—	4	1	no	—
388	C₂²×D₁₃	—	4	1	no	—
389	C₂²×D₁₃	—	4	1	no	—
390	C₂²×D₁₃	—	4	16	no	—
391	C₂²×D₁₃	#41	1	4	yes	complemented
392	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
397	Q₈×C₁₃	—	4	1	no	—
398	D₄×C₁₃	—	2	2	no	—
399	D₄×C₁₃	—	2	2	no	—
400	D₄×C₁₃	—	2	2	no	—
401	D₄×C₁₃	—	2	2	no	—
402	D₄×C₁₃	—	4	1	no	—
403	D₄×C₁₃	—	4	1	no	—
404	D₄×C₁₃	—	4	1	no	—
405	D₄×C₁₃	—	4	1	no	—
406	D₄×C₁₃	—	4	1	no	—
407	C₂×C₄×C₁₃	—	2	2	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	—	4	1	no	—
412	C₂×C₄×C₁₃	—	4	1	no	—
413	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
416	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²⋊D₁₃	—	2	2	no	—
423	C₂²⋊D₁₃	—	2	2	no	—
424	C₂²⋊D₁₃	—	2	2	no	—
425	C₂²⋊D₁₃	—	2	2	no	—
426	C₂²⋊D₁₃	—	2	2	no	—
427	C₂²⋊D₁₃	—	2	2	no	—
428	C₂²⋊D₁₃	—	2	2	no	—
429	C₂²⋊D₁₃	—	2	2	no	—
430	C₂²⋊D₁₃	—	2	2	no	—
431	C₂²⋊D₁₃	—	2	2	no	—
432	C₂²⋊D₁₃	—	4	1	no	—
433	C₂²⋊D₁₃	—	4	1	no	—
434	C₂²⋊D₁₃	—	4	1	no	—
435	C₂²⋊D₁₃	—	4	1	no	—
436	C₂²⋊D₁₃	—	4	1	no	—
437	C₂²⋊D₁₃	—	4	1	no	—
438	C₂×Dic₁₃	—	2	2	no	—
439	C₂×Dic₁₃	—	2	2	no	—
440	C₂×Dic₁₃	—	4	1	no	—
441	C₂×Dic₁₃	—	4	1	no	—
442	C₂×Dic₁₃	—	4	1	no	—
443	C₂×Dic₁₃	—	4	1	no	—
444	C₂×Dic₁₃	—	4	1	no	—
445	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
446	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
447	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
448	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
449	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
450	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
451	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
452	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
453	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
454	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
455	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
456	D₅₂	—	2	2	no	—
457	D₅₂	—	2	2	no	—
458	D₅₂	—	4	1	no	—
459	C₄×D₁₃	—	2	2	no	—
460	C₄×D₁₃	—	2	2	no	—
461	C₄×D₁₃	—	2	2	no	—
462	C₄×D₁₃	—	4	1	no	—
463	C₄×D₁₃	—	4	1	no	—
464	C₄×D₁₃	—	4	1	no	—
465	C₄×D₁₃	—	4	1	no	—
466	C₄×D₁₃	—	4	1	no	—
467	C₄×D₁₃	—	4	1	no	—
468	C₄×D₁₃	—	4	1	no	—
469	C₄×D₁₃	—	4	1	no	—
470	C₄×D₁₃	—	4	1	no	—
471	C₄×D₁₃	—	4	1	no	—
472	Dic₂₆	—	4	1	no	—
473	Dic₂₆	—	4	1	no	—
474	Dic₂₆	—	4	1	no	—
475	#551	—	13	1	no	—
476	#551	—	13	1	no	—
477	#551	—	13	1	no	—
478	#551	—	13	1	no	—
479	#551	—	13	1	no	—
480	#551	—	13	1	no	—
481	#551	—	13	1	no	—
482	#551	—	13	1	no	—
483	#546	—	13	1	no	—
484	#546	—	13	1	no	—
485	#546	—	13	1	no	—
486	#546	—	13	1	no	—
487	#546	—	13	1	no	—
488	#546	—	13	1	no	—
489	#546	—	13	1	no	—
490	#546	D₁₃	1	1	yes	characteristic, complemented
491	#543	—	13	1	no	—
492	#538	—	13	1	no	—
493	#538	—	13	1	no	—
494	#538	—	13	1	no	—
495	#538	—	13	1	no	—
496	#534	—	13	1	no	—
497	#525	—	13	1	no	—
498	#525	—	13	1	no	—
499	#525	—	13	1	no	—
500	#525	—	13	1	no	—
501	C₂×#120	—	13	1	no	—
502	C₂×#120	—	13	1	no	—
503	#518	—	13	1	no	—
504	#518	—	13	1	no	—
505	C₂²×C₂²⋊C₄	—	13	1	no	—
506	C₂²×C₁₃	—	2	1	no	—
507	C₂²×C₁₃	—	2	1	no	—
508	C₂²×C₁₃	—	2	1	no	—
509	C₂²×C₁₃	—	2	1	no	—
510	C₂²×C₁₃	—	2	1	no	—
511	C₂²×C₁₃	—	2	1	no	—
512	C₂²×C₁₃	—	2	1	no	—
513	C₂²×C₁₃	—	2	1	no	—
514	C₂²×C₁₃	—	2	1	no	—
515	C₂²×C₁₃	—	2	1	no	—
516	C₂²×C₁₃	—	2	1	no	—
517	C₂²×C₁₃	—	2	1	no	—
518	C₂²×C₁₃	—	2	1	no	—
519	C₂²×C₁₃	—	2	1	no	—
520	C₂²×C₁₃	—	2	1	no	—
521	C₂²×C₁₃	—	2	1	no	—
522	C₂²×C₁₃	—	4	4	no	—
523	C₂²×C₁₃	—	8	2	no	—
524	C₂²×C₁₃	C₂×#41	1	2	yes	—
525	C₂²×C₁₃	H(5,𝔽₂)	1	2	yes	—
526	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
527	C₂×D₁₃	—	2	8	no	—
528	C₂×D₁₃	—	2	1	no	—
529	C₂×D₁₃	—	2	1	no	—
530	C₂×D₁₃	—	2	1	no	—
531	C₂×D₁₃	—	2	1	no	—
532	C₂×D₁₃	—	2	1	no	—
533	C₂×D₁₃	—	2	1	no	—
534	C₂×D₁₃	—	2	1	no	—
535	C₂×D₁₃	—	2	1	no	—
536	C₂×D₁₃	—	2	1	no	—
537	C₂×D₁₃	—	2	1	no	—
538	C₂×D₁₃	—	2	1	no	—
539	C₂×D₁₃	—	2	1	no	—
540	C₂×D₁₃	—	4	4	no	—
541	C₂×D₁₃	—	4	4	no	—
542	C₂×D₁₃	—	4	4	no	—
543	C₂×D₁₃	—	4	4	no	—
544	C₂×D₁₃	—	4	4	no	—
545	C₂×D₁₃	—	8	2	no	—
546	C₂×D₁₃	C₂×#41	1	2	yes	—
547	C₂×D₁₃	C₂×#41	1	2	yes	—
548	C₂×D₁₃	H(5,𝔽₂)	1	2	yes	—
549	C₄×C₁₃	—	2	1	no	—
550	C₄×C₁₃	—	2	1	no	—
551	C₄×C₁₃	—	2	1	no	—
552	C₄×C₁₃	—	2	1	no	—
553	C₄×C₁₃	—	2	1	no	—
554	C₄×C₁₃	—	2	1	no	—
555	C₄×C₁₃	—	2	1	no	—
556	C₄×C₁₃	—	2	1	no	—
557	C₄×C₁₃	—	2	1	no	—
558	Dic₁₃	—	2	1	no	—
559	Dic₁₃	—	2	1	no	—
560	Dic₁₃	—	2	1	no	—
561	Dic₁₃	—	2	1	no	—
562	Dic₁₃	—	2	1	no	—
563	Dic₁₃	—	2	1	no	—
564	Dic₁₃	—	2	1	no	—
565	Dic₁₃	—	2	1	no	—
566	Dic₁₃	—	2	1	no	—
567	Dic₁₃	—	2	1	no	—
568	Dic₁₃	—	2	1	no	—
569	C₂⁵	—	13	1	no	—
570	C₂×#41	—	13	1	no	—
571	C₂×#41	—	13	1	no	—
572	C₂×#41	—	13	1	no	—
573	C₂×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
574	C₂²×D₄	—	13	1	no	—
575	C₂²×D₄	—	13	1	no	—
576	C₂²×D₄	—	13	1	no	—
577	C₂²×D₄	—	13	1	no	—
578	C₂²×D₄	—	13	1	no	—
579	C₂²×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
580	C₂³×C₄	—	13	1	no	—
581	C₂³×C₄	—	13	1	no	—
582	#126	—	13	1	no	—
583	#126	—	13	1	no	—
584	#126	—	13	1	no	—
585	#126	—	13	1	no	—
586	#126	—	13	1	no	—
587	#126	—	13	1	no	—
588	#126	—	13	1	no	—
589	#126	—	13	1	no	—
590	#124	—	13	1	no	—
591	#124	—	13	1	no	—
592	#124	—	13	1	no	—
593	#124	—	13	1	no	—
594	#124	—	13	1	no	—
595	#124	—	13	1	no	—
596	#124	—	13	1	no	—
597	#124	C₂×D₁₃	1	1	yes	characteristic, complemented
598	#123	—	13	1	no	—
599	#123	—	13	1	no	—
600	#123	—	13	1	no	—
601	#123	—	13	1	no	—
602	#123	—	13	1	no	—
603	#123	—	13	1	no	—
604	#123	—	13	1	no	—
605	#123	—	13	1	no	—
606	#123	—	13	1	no	—
607	#123	—	13	1	no	—
608	#123	—	13	1	no	—
609	#123	—	13	1	no	—
610	#123	—	13	1	no	—
611	#123	—	13	1	no	—
612	#123	—	13	1	no	—
613	#123	—	13	1	no	—
614	#123	—	13	1	no	—
615	#123	—	13	1	no	—
616	#123	C₂×D₁₃	1	1	yes	characteristic, complemented
617	#123	C₂×D₁₃	1	1	yes	characteristic, complemented
618	C₂²⋊Q₈	—	13	1	no	—
619	C₂²⋊Q₈	—	13	1	no	—
620	C₂²⋊Q₈	—	13	1	no	—
621	C₂²⋊Q₈	—	13	1	no	—
622	C₂²⋊Q₈	—	13	1	no	—
623	C₂²⋊Q₈	—	13	1	no	—
624	C₂²⋊Q₈	—	13	1	no	—
625	C₂²⋊Q₈	—	13	1	no	—
626	C₂²⋊Q₈	—	13	1	no	—
627	C₂²⋊Q₈	—	13	1	no	—
628	C₂²⋊Q₈	—	13	1	no	—
629	C₂²⋊Q₈	—	13	1	no	—
630	C₂²⋊Q₈	—	13	1	no	—
631	C₂²⋊Q₈	—	13	1	no	—
632	C₂²⋊Q₈	—	13	1	no	—
633	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
634	#121	—	13	1	no	—
635	#121	—	13	1	no	—
636	#121	—	13	1	no	—
637	#121	—	13	1	no	—
638	#121	—	13	1	no	—
639	#121	—	13	1	no	—
640	#121	—	13	1	no	—
641	#121	—	13	1	no	—
642	#121	—	13	1	no	—
643	#121	—	13	1	no	—
644	#121	—	13	1	no	—
645	#121	—	13	1	no	—
646	#121	—	13	1	no	—
647	#121	C₂×D₁₃	1	1	yes	characteristic, complemented
648	#121	C₂×D₁₃	1	1	yes	characteristic, complemented
649	#121	C₂×D₁₃	1	1	yes	characteristic, complemented
650	#120	—	13	1	no	—
651	#120	—	13	1	no	—
652	#120	—	13	1	no	—
653	#120	—	13	1	no	—
654	#120	—	13	1	no	—
655	#120	—	13	1	no	—
656	#120	—	13	1	no	—
657	#120	—	13	1	no	—
658	#120	—	13	1	no	—
659	#120	—	13	1	no	—
660	#120	—	13	1	no	—
661	#120	—	13	1	no	—
662	#120	—	13	1	no	—
663	#120	—	13	1	no	—
664	#120	—	13	1	no	—
665	#120	—	13	1	no	—
666	#120	—	13	1	no	—
667	#120	—	13	1	no	—
668	#120	C₂×D₁₃	1	1	yes	characteristic
669	#120	C₂×D₁₃	1	1	yes	characteristic, complemented
670	C₄×D₄	—	13	1	no	—
671	C₄×D₄	—	13	1	no	—
672	C₄×D₄	—	13	1	no	—
673	C₄×D₄	—	13	1	no	—
674	C₄×D₄	—	13	1	no	—
675	C₄×D₄	—	13	1	no	—
676	C₄×D₄	—	13	1	no	—
677	C₄×D₄	—	13	1	no	—
678	C₄×D₄	—	13	1	no	—
679	C₄×D₄	—	13	1	no	—
680	C₄×D₄	—	13	1	no	—
681	C₄×D₄	—	13	1	no	—
682	C₄×D₄	—	13	1	no	—
683	C₄×D₄	—	13	1	no	—
684	C₄×D₄	—	13	1	no	—
685	C₄×D₄	—	13	1	no	—
686	C₄×D₄	—	13	1	no	—
687	C₄×D₄	—	13	1	no	—
688	C₄×D₄	—	13	1	no	—
689	C₄×D₄	—	13	1	no	—
690	C₄×D₄	—	13	1	no	—
691	C₄×D₄	—	13	1	no	—
692	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
693	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
694	#117	—	13	1	no	—
695	#117	—	13	1	no	—
696	#117	—	13	1	no	—
697	#117	—	13	1	no	—
698	#117	—	13	1	no	—
699	#117	—	13	1	no	—
700	#117	—	13	1	no	—
701	#117	—	13	1	no	—
702	C₂×C₂²⋊C₄	—	13	1	no	—
703	C₂×C₂²⋊C₄	—	13	1	no	—
704	C₂×C₂²⋊C₄	—	13	1	no	—
705	C₂×C₂²⋊C₄	—	13	1	no	—
706	C₂×C₂²⋊C₄	—	13	1	no	—
707	C₂×C₂²⋊C₄	—	13	1	no	—
708	C₂×C₂²⋊C₄	—	13	1	no	—
709	C₂×C₂²⋊C₄	—	13	1	no	—
710	C₂×C₂²⋊C₄	—	13	1	no	—
711	C₂×C₂²⋊C₄	—	13	1	no	—
712	C₂×C₂²⋊C₄	—	13	1	no	—
713	C₂×C₂²⋊C₄	—	13	1	no	—
714	C₂×C₂²⋊C₄	—	13	1	no	—
715	C₂×C₂²⋊C₄	—	13	1	no	—
716	C₂×C₂²⋊C₄	—	13	1	no	—
717	C₂×C₂²⋊C₄	—	13	1	no	—
718	C₂×C₂²⋊C₄	—	13	1	no	—
719	C₂×C₂²⋊C₄	—	13	1	no	—
720	C₂×C₂²⋊C₄	—	13	1	no	—
721	C₂×C₂²⋊C₄	—	13	1	no	—
722	C₂×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
723	C₂×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
724	C₂×C₁₃	—	2	2	no	—
725	C₂×C₁₃	—	2	2	no	—
726	C₂×C₁₃	—	4	1	no	—
727	C₂×C₁₃	—	4	1	no	—
728	C₂×C₁₃	—	4	1	no	—
729	C₂×C₁₃	—	4	1	no	—
730	C₂×C₁₃	C₂²×#41	1	1	yes	characteristic
731	C₂×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
732	C₂×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
733	D₁₃	—	2	2	no	—
734	D₁₃	—	2	2	no	—
735	D₁₃	—	2	2	no	—
736	D₁₃	—	4	1	no	—
737	D₁₃	—	4	1	no	—
738	C₂⁴	—	13	1	no	—
739	C₂⁴	—	13	1	no	—
740	C₂⁴	—	13	1	no	—
741	C₂⁴	—	13	1	no	—
742	C₂⁴	—	13	1	no	—
743	C₂⁴	—	13	1	no	—
744	C₂⁴	—	13	1	no	—
745	C₂⁴	—	26	4	no	—
746	C₂⁴	—	52	2	no	—
747	C₂⁴	—	52	2	no	—
748	C₂⁴	C₂²×D₁₃	1	1	yes	characteristic
749	C₂⁴	C₂²×D₁₃	1	1	yes	characteristic
750	#41	—	4	2	no	—
751	#41	—	52	2	no	—
752	#41	—	52	2	no	—
753	#41	—	52	2	no	—
754	C₂×Q₈	—	13	1	no	—
755	C₂×Q₈	—	13	1	no	—
756	C₂×Q₈	—	13	1	no	—
757	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
758	C₂×D₄	—	4	2	no	—
759	C₂×D₄	—	13	1	no	—
760	C₂×D₄	—	13	1	no	—
761	C₂×D₄	—	13	1	no	—
762	C₂×D₄	—	13	1	no	—
763	C₂×D₄	—	13	1	no	—
764	C₂×D₄	—	13	1	no	—
765	C₂×D₄	—	13	1	no	—
766	C₂×D₄	—	13	1	no	—
767	C₂×D₄	—	13	1	no	—
768	C₂×D₄	—	13	1	no	—
769	C₂×D₄	—	13	1	no	—
770	C₂×D₄	—	13	1	no	—
771	C₂×D₄	—	13	1	no	—
772	C₂×D₄	—	13	1	no	—
773	C₂×D₄	—	13	1	no	—
774	C₂×D₄	—	13	1	no	—
775	C₂×D₄	—	13	1	no	—
776	C₂×D₄	—	13	1	no	—
777	C₂×D₄	—	13	1	no	—
778	C₂×D₄	—	26	4	no	—
779	C₂×D₄	—	26	4	no	—
780	C₂×D₄	—	52	2	no	—
781	C₂×D₄	—	52	2	no	—
782	C₂×D₄	—	52	2	no	—
783	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
784	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
785	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
786	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
787	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
788	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
789	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
790	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
791	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
792	C₂²×C₄	—	13	1	no	—
793	C₂²×C₄	—	13	1	no	—
794	C₂²×C₄	—	13	1	no	—
795	C₂²×C₄	—	13	1	no	—
796	C₂²×C₄	—	13	1	no	—
797	C₂²×C₄	—	13	1	no	—
798	C₂²×C₄	—	13	1	no	—
799	C₂²×C₄	—	13	1	no	—
800	C₂²×C₄	—	13	1	no	—
801	C₂²×C₄	—	13	1	no	—
802	C₂²×C₄	—	13	1	no	—
803	C₂²×C₄	—	13	1	no	—
804	C₂²×C₄	—	13	1	no	—
805	C₂²×C₄	—	13	1	no	—
806	C₂²×C₄	—	13	1	no	—
807	C₂²×C₄	—	13	1	no	—
808	C₂²×C₄	—	13	1	no	—
809	C₂²×C₄	—	13	1	no	—
810	C₂²×C₄	—	13	1	no	—
811	C₂²×C₄	—	13	1	no	—
812	C₂²×C₄	—	52	2	no	—
813	C₂²×C₄	—	52	2	no	—
814	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
815	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
816	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
817	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
818	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
819	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
820	C₄⋊C₄	—	13	1	no	—
821	C₄⋊C₄	—	13	1	no	—
822	C₄⋊C₄	—	13	1	no	—
823	C₄⋊C₄	—	13	1	no	—
824	C₄⋊C₄	—	13	1	no	—
825	C₄⋊C₄	—	13	1	no	—
826	C₄⋊C₄	—	13	1	no	—
827	C₄⋊C₄	—	13	1	no	—
828	C₄⋊C₄	—	13	1	no	—
829	C₄⋊C₄	—	13	1	no	—
830	C₄⋊C₄	—	13	1	no	—
831	C₄⋊C₄	—	13	1	no	—
832	C₄⋊C₄	—	13	1	no	—
833	C₄⋊C₄	—	13	1	no	—
834	C₄⋊C₄	—	13	1	no	—
835	C₄⋊C₄	—	13	1	no	—
836	C₄⋊C₄	—	13	1	no	—
837	C₄⋊C₄	—	13	1	no	—
838	C₄⋊C₄	—	13	1	no	—
839	C₄⋊C₄	—	13	1	no	—
840	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
841	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
842	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
843	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
844	C₂²⋊C₄	—	13	1	no	—
845	C₂²⋊C₄	—	13	1	no	—
846	C₂²⋊C₄	—	13	1	no	—
847	C₂²⋊C₄	—	13	1	no	—
848	C₂²⋊C₄	—	13	1	no	—
849	C₂²⋊C₄	—	13	1	no	—
850	C₂²⋊C₄	—	13	1	no	—
851	C₂²⋊C₄	—	13	1	no	—
852	C₂²⋊C₄	—	13	1	no	—
853	C₂²⋊C₄	—	13	1	no	—
854	C₂²⋊C₄	—	13	1	no	—
855	C₂²⋊C₄	—	13	1	no	—
856	C₂²⋊C₄	—	13	1	no	—
857	C₂²⋊C₄	—	13	1	no	—
858	C₂²⋊C₄	—	13	1	no	—
859	C₂²⋊C₄	—	13	1	no	—
860	C₂²⋊C₄	—	13	1	no	—
861	C₂²⋊C₄	—	13	1	no	—
862	C₂²⋊C₄	—	13	1	no	—
863	C₂²⋊C₄	—	13	1	no	—
864	C₂²⋊C₄	—	13	1	no	—
865	C₂²⋊C₄	—	13	1	no	—
866	C₂²⋊C₄	—	13	1	no	—
867	C₂²⋊C₄	—	13	1	no	—
868	C₂²⋊C₄	—	13	1	no	—
869	C₂²⋊C₄	—	13	1	no	—
870	C₂²⋊C₄	—	13	1	no	—
871	C₂²⋊C₄	—	13	1	no	—
872	C₂²⋊C₄	—	13	1	no	—
873	C₂²⋊C₄	—	13	1	no	—
874	C₂²⋊C₄	—	13	1	no	—
875	C₂²⋊C₄	—	13	1	no	—
876	C₂²⋊C₄	—	13	1	no	—
877	C₂²⋊C₄	—	13	1	no	—
878	C₂²⋊C₄	—	13	1	no	—
879	C₂²⋊C₄	—	13	1	no	—
880	C₂²⋊C₄	—	13	1	no	—
881	C₂²⋊C₄	—	13	1	no	—
882	C₂²⋊C₄	—	13	1	no	—
883	C₂²⋊C₄	—	13	1	no	—
884	C₂²⋊C₄	—	13	1	no	—
885	C₂²⋊C₄	—	13	1	no	—
886	C₂²⋊C₄	—	13	1	no	—
887	C₂²⋊C₄	—	13	1	no	—
888	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
889	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
890	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
891	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
892	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
893	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
894	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
895	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
896	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
897	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
898	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
899	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
900	C₄²	—	13	1	no	—
901	C₄²	—	13	1	no	—
902	C₄²	—	13	1	no	—
903	C₄²	—	13	1	no	—
904	C₄²	—	13	1	no	—
905	C₄²	—	13	1	no	—
906	C₄²	—	13	1	no	—
907	C₄²	C₂²×D₁₃	1	1	yes	characteristic, complemented
908	C₁₃	#3490	1	1	yes	characteristic, complemented, Sylow
909	C₂³	—	2	2	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	4	1	no	—
913	C₂³	—	4	1	no	—
914	C₂³	—	4	1	no	—
915	C₂³	—	13	1	no	—
916	C₂³	—	13	1	no	—
917	C₂³	—	13	1	no	—
918	C₂³	—	13	4	no	—
919	C₂³	—	13	1	no	—
920	C₂³	—	13	1	no	—
921	C₂³	—	26	2	no	—
922	C₂³	—	26	2	no	—
923	C₂³	—	26	2	no	—
924	C₂³	—	26	2	no	—
925	C₂³	—	26	2	no	—
926	C₂³	—	26	2	no	—
927	C₂³	—	26	2	no	—
928	C₂³	—	26	2	no	—
929	C₂³	—	26	2	no	—
930	C₂³	—	26	2	no	—
931	C₂³	—	26	2	no	—
932	C₂³	—	52	1	no	—
933	C₂³	—	52	1	no	—
934	C₂³	—	52	1	no	—
935	C₂³	—	52	1	no	—
936	C₂³	—	52	1	no	—
937	C₂³	—	52	1	no	—
938	C₂³	—	52	1	no	—
939	C₂³	—	52	1	no	—
940	C₂³	—	52	1	no	—
941	C₂³	—	52	16	no	—
942	C₂³	C₂³×D₁₃	1	1	yes	characteristic
943	C₂³	C₂³×D₁₃	1	1	yes	characteristic
944	C₂³	C₂³×D₁₃	1	1	yes	characteristic
945	C₂³	C₂³×D₁₃	1	1	yes	characteristic
946	C₂³	C₂³×D₁₃	1	1	yes	characteristic
947	C₂³	C₂³×D₁₃	1	1	yes	characteristic
948	Q₈	—	4	1	no	—
949	Q₈	—	52	1	no	—
950	Q₈	—	52	1	no	—
951	Q₈	—	52	1	no	—
952	D₄	—	2	2	no	—
953	D₄	—	2	2	no	—
954	D₄	—	2	2	no	—
955	D₄	—	2	2	no	—
956	D₄	—	4	1	no	—
957	D₄	—	4	1	no	—
958	D₄	—	4	1	no	—
959	D₄	—	4	1	no	—
960	D₄	—	4	1	no	—
961	D₄	—	26	2	no	—
962	D₄	—	26	2	no	—
963	D₄	—	26	2	no	—
964	D₄	—	26	2	no	—
965	D₄	—	26	2	no	—
966	D₄	—	26	2	no	—
967	D₄	—	26	2	no	—
968	D₄	—	26	2	no	—
969	D₄	—	26	2	no	—
970	D₄	—	26	2	no	—
971	D₄	—	26	2	no	—
972	D₄	—	26	2	no	—
973	D₄	—	52	1	no	—
974	D₄	—	52	1	no	—
975	D₄	—	52	1	no	—
976	D₄	—	52	1	no	—
977	D₄	—	52	1	no	—
978	D₄	—	52	1	no	—
979	D₄	—	52	1	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	4	1	no	—
982	C₂×C₄	—	4	1	no	—
983	C₂×C₄	—	4	1	no	—
984	C₂×C₄	—	4	1	no	—
985	C₂×C₄	—	4	1	no	—
986	C₂×C₄	—	13	1	no	—
987	C₂×C₄	—	13	1	no	—
988	C₂×C₄	—	13	1	no	—
989	C₂×C₄	—	13	1	no	—
990	C₂×C₄	—	13	1	no	—
991	C₂×C₄	—	13	1	no	—
992	C₂×C₄	—	13	1	no	—
993	C₂×C₄	—	13	1	no	—
994	C₂×C₄	—	13	1	no	—
995	C₂×C₄	—	13	1	no	—
996	C₂×C₄	—	13	1	no	—
997	C₂×C₄	—	26	2	no	—
998	C₂×C₄	—	26	2	no	—
999	C₂×C₄	—	26	2	no	—
1000	C₂×C₄	—	26	2	no	—
1001	C₂×C₄	—	26	2	no	—
1002	C₂×C₄	—	52	1	no	—
1003	C₂×C₄	—	52	1	no	—
1004	C₂×C₄	—	52	1	no	—
1005	C₂×C₄	—	52	1	no	—
1006	C₂×C₄	—	52	1	no	—
1007	C₂×C₄	—	52	1	no	—
1008	C₂×C₄	—	52	1	no	—
1009	C₂×C₄	—	52	1	no	—
1010	C₂×C₄	—	52	1	no	—
1011	C₂×C₄	—	52	1	no	—
1012	C₂×C₄	—	52	1	no	—
1013	C₂×C₄	—	52	1	no	—
1014	C₂×C₄	—	52	1	no	—
1015	C₂×C₄	—	52	1	no	—
1016	C₂×C₄	—	52	1	no	—
1017	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1018	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1019	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1020	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1021	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1022	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1023	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1024	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1025	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	2	1	no	—
1030	C₂²	—	2	1	no	—
1031	C₂²	—	2	1	no	—
1032	C₂²	—	2	1	no	—
1033	C₂²	—	2	1	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	1	no	—
1036	C₂²	—	2	1	no	—
1037	C₂²	—	2	1	no	—
1038	C₂²	—	2	1	no	—
1039	C₂²	—	2	1	no	—
1040	C₂²	—	2	1	no	—
1041	C₂²	—	2	1	no	—
1042	C₂²	—	4	4	no	—
1043	C₂²	—	8	2	no	—
1044	C₂²	—	13	2	no	—
1045	C₂²	—	13	2	no	—
1046	C₂²	—	13	2	no	—
1047	C₂²	—	26	8	no	—
1048	C₂²	—	26	1	no	—
1049	C₂²	—	26	1	no	—
1050	C₂²	—	26	1	no	—
1051	C₂²	—	26	1	no	—
1052	C₂²	—	26	1	no	—
1053	C₂²	—	26	1	no	—
1054	C₂²	—	26	1	no	—
1055	C₂²	—	26	1	no	—
1056	C₂²	—	26	1	no	—
1057	C₂²	—	26	1	no	—
1058	C₂²	—	26	1	no	—
1059	C₂²	—	26	1	no	—
1060	C₂²	—	52	4	no	—
1061	C₂²	—	52	4	no	—
1062	C₂²	—	52	4	no	—
1063	C₂²	—	52	4	no	—
1064	C₂²	—	52	4	no	—
1065	C₂²	—	104	2	no	—
1066	C₂²	#88251	1	2	yes	—
1067	C₂²	#41×D₁₃	1	2	yes	—
1068	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
1069	C₄	—	2	1	no	—
1070	C₄	—	2	1	no	—
1071	C₄	—	2	1	no	—
1072	C₄	—	2	1	no	—
1073	C₄	—	2	1	no	—
1074	C₄	—	2	1	no	—
1075	C₄	—	2	1	no	—
1076	C₄	—	2	1	no	—
1077	C₄	—	2	1	no	—
1078	C₄	—	26	1	no	—
1079	C₄	—	26	1	no	—
1080	C₄	—	26	1	no	—
1081	C₄	—	26	1	no	—
1082	C₄	—	26	1	no	—
1083	C₄	—	26	1	no	—
1084	C₄	—	26	1	no	—
1085	C₄	—	26	1	no	—
1086	C₄	—	26	1	no	—
1087	C₄	—	26	1	no	—
1088	C₄	—	26	1	no	—
1089	C₂	—	2	2	no	—
1090	C₂	—	2	2	no	—
1091	C₂	—	4	1	no	—
1092	C₂	—	4	1	no	—
1093	C₂	—	4	1	no	—
1094	C₂	—	4	1	no	—
1095	C₂	—	26	2	no	—
1096	C₂	—	26	2	no	—
1097	C₂	—	26	2	no	—
1098	C₂	—	52	1	no	—
1099	C₂	—	52	1	no	—
1100	C₂	C₂×#88251	1	1	yes	characteristic
1101	C₂	C₂×#41×D₁₃	1	1	yes	characteristic
1102	C₂	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁵
Fitting	C₁₃×#546	C₂
hypercenter	#546	D₁₃
hypocenter	C₁₃	#3490
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. C₁₃×#546	C₂	semidirect
2. #11719534	C₂	semidirect
3. #11719533	C₂	semidirect
4. #11719511	C₂	semidirect
5. C₂×#88191	C₂	semidirect
6. #11719384	C₂	semidirect
7. #11719383	C₂	semidirect
8. #11719364	C₂	semidirect
9. #11719363	C₂	semidirect
10. #11719362	C₂	semidirect
11. #11719361	C₂	semidirect
12. #11719342	C₂	semidirect
13. #11719339	C₂	semidirect
14. #11719318	C₂	semidirect
15. #11719318	C₂	semidirect
16. #11719317	C₂	semidirect
17. #11719315	C₂	semidirect
18. #11719315	C₂	semidirect
19. #11719311	C₂	semidirect
20. #11719296	C₂	semidirect
21. #11719294	C₂	semidirect
22. D₁₃×#120	C₂	semidirect
23. #11719292	C₂	semidirect
24. #11719261	C₂	semidirect
25. #11719261	C₂	semidirect
26. #11719252	C₂	semidirect
27. #11719250	C₂	semidirect
28. #11719200	C₂	semidirect
29. #11719195	C₂	semidirect
30. #11719191	C₂	semidirect
31. C₂×C₂²⋊C₄×D₁₃	C₂	semidirect
33. C₂×C₁₃×#41	C₂²	semidirect
34. C₂²×D₄×C₁₃	C₂²	semidirect
36. C₂²×C₂²⋊D₁₃	C₂²	semidirect
37. C₂×#6129	C₂²	semidirect
38. C₂×#6129	C₂²	semidirect
40. C₂×D₄×D₁₃	C₂²	semidirect
41. C₂×D₄×D₁₃	C₂²	semidirect
42. C₂×#6127	C₂²	semidirect
43. C₂²×C₄×D₁₃	C₂²	semidirect
44. C₂²×C₄×D₁₃	C₂²	semidirect
45. C₁₃×#124	C₂²	semidirect
46. C₁₃×#123	C₂²	semidirect
47. C₁₃×#123	C₂²	semidirect
48. C₁₃×C₂²⋊Q₈	C₂²	semidirect
49. C₁₃×#121	C₂²	semidirect
50. C₁₃×#121	C₂²	semidirect
51. C₁₃×#121	C₂²	semidirect
53. C₁₃×#120	C₂²	semidirect
54. C₄×D₄×C₁₃	C₂²	semidirect
55. C₄×D₄×C₁₃	C₂²	semidirect
56. C₂×C₁₃×C₂²⋊C₄	C₂²	semidirect
57. C₂×C₁₃×C₂²⋊C₄	C₂²	semidirect
59. #88207	C₂²	semidirect
60. C₂×C₂²⋊Dic₁₃	C₂²	semidirect
61. C₂×C₂²⋊Dic₁₃	C₂²	semidirect
62. C₂×C₂²⋊Dic₁₃	C₂²	semidirect
63. #88201	C₂²	semidirect
64. #88200	C₂²	semidirect
65. #88200	C₂²	semidirect
66. #88200	C₂²	semidirect
67. #88193	C₂²	semidirect
68. #88193	C₂²	semidirect
69. #88193	C₂²	semidirect
70. #88193	C₂²	semidirect
71. #88192	C₂²	semidirect
72. #88192	C₂²	semidirect
73. #88192	C₂²	semidirect
74. #88192	C₂²	semidirect
80. #88191	C₂²	semidirect
81. #88191	C₂²	semidirect
82. #88191	C₂²	semidirect
83. #88191	C₂²	semidirect
84. #88191	C₂²	semidirect
85. #88191	C₂²	semidirect
86. #88191	C₂²	semidirect
87. #88191	C₂²	semidirect
88. #88190	C₂²	semidirect
89. #88190	C₂²	semidirect
90. #88189	C₂²	semidirect
91. #88189	C₂²	semidirect
92. #88189	C₂²	semidirect
93. #88189	C₂²	semidirect
94. #88189	C₂²	semidirect
95. D₄×Dic₁₃	C₂²	semidirect
96. D₄×Dic₁₃	C₂²	semidirect
97. D₄×Dic₁₃	C₂²	semidirect
98. #88184	C₂²	semidirect
99. #88183	C₂²	semidirect
100. #88183	C₂²	semidirect
101. #88183	C₂²	semidirect
102. C₄×C₂²⋊D₁₃	C₂²	semidirect
103. C₄×C₂²⋊D₁₃	C₂²	semidirect
104. C₄×C₂²⋊D₁₃	C₂²	semidirect
105. C₄×C₂²⋊D₁₃	C₂²	semidirect
106. C₄×C₂²⋊D₁₃	C₂²	semidirect
107. C₄×C₂²⋊D₁₃	C₂²	semidirect
108. C₄×C₂²⋊D₁₃	C₂²	semidirect
109. C₄×C₂²⋊D₁₃	C₂²	semidirect
110. C₄×C₂²⋊D₁₃	C₂²	semidirect
112. C₂×#6103	C₂²	semidirect
113. C₂×#6103	C₂²	semidirect
114. C₂×#6103	C₂²	semidirect
115. C₂×#6103	C₂²	semidirect
116. #88180	C₂²	semidirect
117. #88178	C₂²	semidirect
118. #88178	C₂²	semidirect
119. #88152	C₂²	semidirect
120. #88152	C₂²	semidirect
121. #88152	C₂²	semidirect
122. #88151	C₂²	semidirect
123. #88151	C₂²	semidirect
124. #88150	C₂²	semidirect
125. #88150	C₂²	semidirect
126. #88150	C₂²	semidirect
127. #88150	C₂²	semidirect
128. #88150	C₂²	semidirect
129. #88148	C₂²	semidirect
130. #88148	C₂²	semidirect
131. #88147	C₂²	semidirect
132. #88147	C₂²	semidirect
133. #88146	C₂²	semidirect
134. #88146	C₂²	semidirect
135. #88140	C₂²	semidirect
136. #88140	C₂²	semidirect
137. #88139	C₂²	semidirect
138. #88139	C₂²	semidirect
139. #88139	C₂²	semidirect
140. #88139	C₂²	semidirect
141. #88138	C₂²	semidirect
142. #88138	C₂²	semidirect
143. #88138	C₂²	semidirect
144. #88138	C₂²	semidirect
145. #88137	C₂²	semidirect
146. #88137	C₂²	semidirect
147. #88137	C₂²	semidirect
148. #88137	C₂²	semidirect
149. #88137	C₂²	semidirect
150. #88137	C₂²	semidirect
152. #88136	C₂²	semidirect
153. #88136	C₂²	semidirect
154. #88135	C₂²	semidirect
155. #88135	C₂²	semidirect
156. #88135	C₂²	semidirect
157. #88135	C₂²	semidirect
158. #88135	C₂²	semidirect
159. #88135	C₂²	semidirect
160. #88135	C₂²	semidirect
164. C₂²⋊C₄×D₁₃	C₂²	semidirect
165. C₂²⋊C₄×D₁₃	C₂²	semidirect
166. C₂²⋊C₄×D₁₃	C₂²	semidirect
167. C₂²⋊C₄×D₁₃	C₂²	semidirect
168. C₂²⋊C₄×D₁₃	C₂²	semidirect
169. C₂²⋊C₄×D₁₃	C₂²	semidirect
170. C₂²⋊C₄×D₁₃	C₂²	semidirect
171. C₂²⋊C₄×D₁₃	C₂²	semidirect
172. C₂²⋊C₄×D₁₃	C₂²	semidirect
173. #88133	C₂²	semidirect
174. #88133	C₂²	semidirect
175. #88133	C₂²	semidirect
176. #88133	C₂²	semidirect
177. #88132	C₂²	semidirect
178. #88132	C₂²	semidirect
179. #88132	C₂²	semidirect
180. #88131	C₂²	semidirect
181. #88131	C₂²	semidirect
182. #88131	C₂²	semidirect
183. #88130	C₂²	semidirect
184. C₄×D₅₂	C₂²	semidirect
185. #88126	C₂²	semidirect
186. #88126	C₂²	semidirect
200. C₂×Q₈×C₁₃	C₂³	semidirect
209. C₂×D₄×C₁₃	C₂³	semidirect
210. C₂×D₄×C₁₃	C₂³	semidirect
214. C₂²×C₄×C₁₃	C₂³	semidirect
215. C₂²×C₄×C₁₃	C₂³	semidirect
216. C₂²×C₄×C₁₃	C₂³	semidirect
233. C₂×C₂²⋊D₁₃	C₂³	semidirect
234. C₂×C₂²⋊D₁₃	C₂³	semidirect
239. C₂²×Dic₁₃	C₂³	semidirect
240. C₂²×Dic₁₃	C₂³	semidirect
241. C₂²×Dic₁₃	C₂³	semidirect
264. C₂×C₄×D₁₃	C₂³	semidirect
265. C₂×C₄×D₁₃	C₂³	semidirect
266. C₂×Dic₂₆	C₂³	semidirect
267. C₂×Dic₂₆	C₂³	semidirect
268. C₂×Dic₂₆	C₂³	semidirect
269. C₁₃×C₄⋊C₄	C₂³	semidirect
270. C₁₃×C₄⋊C₄	C₂³	semidirect
271. C₁₃×C₄⋊C₄	C₂³	semidirect
272. C₁₃×C₄⋊C₄	C₂³	semidirect
280. C₁₃×C₂²⋊C₄	C₂³	semidirect
281. C₁₃×C₂²⋊C₄	C₂³	semidirect
282. C₁₃×C₂²⋊C₄	C₂³	semidirect
283. C₁₃×C₂²⋊C₄	C₂³	semidirect
284. C₁₃×C₂²⋊C₄	C₂³	semidirect
285. C₄²×C₁₃	C₂³	semidirect
297. C₂²⋊Dic₁₃	C₂³	semidirect
298. C₂²⋊Dic₁₃	C₂³	semidirect
299. C₂²⋊Dic₁₃	C₂³	semidirect
300. C₂²⋊Dic₁₃	C₂³	semidirect
301. C₂²⋊Dic₁₃	C₂³	semidirect
302. C₂²⋊Dic₁₃	C₂³	semidirect
303. C₂²⋊Dic₁₃	C₂³	semidirect
326. #6103	C₂³	semidirect
327. #6103	C₂³	semidirect
328. #6103	C₂³	semidirect
329. #6103	C₂³	semidirect
330. C₄⋊Dic₁₃	C₂³	semidirect
331. C₄⋊Dic₁₃	C₂³	semidirect
332. C₄⋊Dic₁₃	C₂³	semidirect
333. C₄⋊Dic₁₃	C₂³	semidirect
334. C₄⋊Dic₁₃	C₂³	semidirect
335. C₄⋊Dic₁₃	C₂³	semidirect
336. #6101	C₂³	semidirect
337. #6101	C₂³	semidirect
338. #6101	C₂³	semidirect
339. #6101	C₂³	semidirect
340. #6101	C₂³	semidirect
341. #6101	C₂³	semidirect
342. #6101	C₂³	semidirect
343. #6101	C₂³	semidirect
344. #6101	C₂³	semidirect
345. #6101	C₂³	semidirect
346. #6101	C₂³	semidirect
347. #6101	C₂³	semidirect
348. #6101	C₂³	semidirect
349. #6101	C₂³	semidirect
350. C₄×Dic₁₃	C₂³	semidirect
351. C₄×Dic₁₃	C₂³	semidirect
352. C₄×Dic₁₃	C₂³	semidirect
353. C₄×Dic₁₃	C₂³	semidirect
354. C₄×Dic₁₃	C₂³	semidirect
355. C₄×Dic₁₃	C₂³	semidirect
356. C₄×Dic₁₃	C₂³	semidirect
391. C₂²×D₁₃	#41	semidirect
490. #546	D₁₃	semidirect
573. C₂×#41	C₂×D₁₃	semidirect
579. C₂²×D₄	C₂×D₁₃	semidirect
597. #124	C₂×D₁₃	semidirect
616. #123	C₂×D₁₃	semidirect
617. #123	C₂×D₁₃	semidirect
633. C₂²⋊Q₈	C₂×D₁₃	semidirect
647. #121	C₂×D₁₃	semidirect
648. #121	C₂×D₁₃	semidirect
649. #121	C₂×D₁₃	semidirect
669. #120	C₂×D₁₃	semidirect
692. C₄×D₄	C₂×D₁₃	semidirect
693. C₄×D₄	C₂×D₁₃	semidirect
722. C₂×C₂²⋊C₄	C₂×D₁₃	semidirect
723. C₂×C₂²⋊C₄	C₂×D₁₃	semidirect
757. C₂×Q₈	C₂²×D₁₃	semidirect
790. C₂×D₄	C₂²×D₁₃	semidirect
791. C₂×D₄	C₂²×D₁₃	semidirect
817. C₂²×C₄	C₂²×D₁₃	semidirect
818. C₂²×C₄	C₂²×D₁₃	semidirect
819. C₂²×C₄	C₂²×D₁₃	semidirect
840. C₄⋊C₄	C₂²×D₁₃	semidirect
841. C₄⋊C₄	C₂²×D₁₃	semidirect
842. C₄⋊C₄	C₂²×D₁₃	semidirect
843. C₄⋊C₄	C₂²×D₁₃	semidirect
895. C₂²⋊C₄	C₂²×D₁₃	semidirect
896. C₂²⋊C₄	C₂²×D₁₃	semidirect
897. C₂²⋊C₄	C₂²×D₁₃	semidirect
898. C₂²⋊C₄	C₂²×D₁₃	semidirect
899. C₂²⋊C₄	C₂²×D₁₃	semidirect
907. C₄²	C₂²×D₁₃	semidirect
908. C₁₃	#3490	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#546	2
#11719534	2
#11719533	2
#11719511	2
C₂×#88191	2
#11719384	2
#11719383	2
#11719364	2
#11719363	2
#11719362	2
#11719361	2
#11719342	2
#11719339	2
#11719318	2
#11719317	2
#11719315	2
#11719311	2
#11719296	2
#11719294	2
D₁₃×#120	2
#11719292	2
#11719261	2
#11719252	2
#11719250	2
#11719200	2
#11719195	2
#11719191	2
C₂×C₂²⋊C₄×D₁₃	2
#3490	13