Subgroups — #13128622

Order 1664.

1540 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#88257	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#88251	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
4	#11719534	C₂	1	1	yes	maximal, characteristic, complemented
5	#11719511	C₂	1	1	yes	maximal, characteristic, complemented
6	#11719382	C₂	1	1	yes	maximal, characteristic, complemented
7	D₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
8	#11719359	C₂	1	2	yes	maximal, complemented
9	#11719353	C₂	1	2	yes	maximal, complemented
10	#11719338	C₂	1	1	yes	maximal, characteristic, complemented
11	#11719333	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719315	C₂	1	2	yes	maximal, complemented
13	#11719312	C₂	1	1	yes	maximal, characteristic, complemented
14	#11719303	C₂	1	1	yes	maximal, characteristic, complemented
15	#11719301	C₂	1	2	yes	maximal, complemented
16	#11719297	C₂	1	2	yes	maximal, complemented
17	#11719296	C₂	1	2	yes	maximal, complemented
18	#11719259	C₂	1	1	yes	maximal, characteristic, complemented
19	#11719257	C₂	1	1	yes	maximal, characteristic, complemented
20	#11719253	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#6129	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#88139	C₂	1	2	yes	maximal, complemented
23	#11719195	C₂	1	2	yes	maximal, complemented
24	C₂×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
25	C₂²×D₄×C₁₃	C₂²	1	1	yes	characteristic
26	C₂²×C₂²⋊D₁₃	C₂²	1	2	yes	—
27	C₂²×C₂²⋊D₁₃	C₂²	1	2	yes	—
28	#88257	—	2	8	no	—
29	C₂×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
30	C₂×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
31	#88251	—	2	8	no	—
32	C₂×#6129	C₂²	1	2	yes	—
33	C₂×#6129	C₂²	1	1	yes	characteristic
34	C₂×#6129	C₂²	1	1	yes	characteristic
35	C₂×#6129	C₂²	1	1	yes	characteristic, complemented
36	C₂×#6129	C₂²	1	2	yes	complemented
37	C₂×#6129	C₂²	1	2	yes	complemented
38	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×D₄×D₁₃	C₂²	1	2	yes	—
41	C₂×#6127	C₂²	1	1	yes	characteristic
42	C₂×#6127	C₂²	1	1	yes	characteristic
43	C₂×#6127	C₂²	1	2	yes	complemented
44	C₂×#6127	C₂²	1	1	yes	characteristic, complemented
45	C₂²×Dic₂₆	C₂²	1	2	yes	complemented
46	C₂²×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#123	C₂²	1	2	yes	complemented
49	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#121	C₂²	1	2	yes	complemented
51	C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#120	C₂²	1	2	yes	complemented
53	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
56	#88207	C₂²	1	2	yes	complemented
57	C₂×C₂²⋊Dic₁₃	C₂²	1	2	yes	complemented
58	#88201	C₂²	1	1	yes	characteristic, complemented
59	#88200	C₂²	1	1	yes	characteristic, complemented
60	#88194	C₂²	1	1	yes	characteristic, complemented
61	#88194	C₂²	1	2	yes	complemented
62	#88193	C₂²	1	2	yes	complemented
63	#88193	C₂²	1	2	yes	complemented
64	#88193	C₂²	1	2	yes	complemented
65	#88193	C₂²	1	2	yes	complemented
66	#88192	C₂²	1	1	yes	characteristic, complemented
67	#88192	C₂²	1	1	yes	characteristic, complemented
68	#88191	C₂²	1	2	yes	complemented
69	#88191	C₂²	1	2	yes	complemented
70	#88190	C₂²	1	1	yes	characteristic, complemented
71	#88189	C₂²	1	2	yes	complemented
72	D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
73	D₄×Dic₁₃	C₂²	1	2	yes	complemented
74	#88184	C₂²	1	2	yes	complemented
75	#88184	C₂²	1	1	yes	characteristic, complemented
76	#88183	C₂²	1	2	yes	complemented
77	C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
78	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
79	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
80	C₂×#6103	C₂²	1	2	yes	complemented
81	C₂×#6103	C₂²	1	2	yes	complemented
82	#88178	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₄×Dic₁₃	C₂²	1	2	yes	complemented
84	#88151	C₂²	1	1	yes	characteristic, complemented
85	#88150	C₂²	1	2	yes	complemented
86	#88150	C₂²	1	2	yes	complemented
87	#88149	C₂²	1	1	yes	characteristic, complemented
88	#88149	C₂²	1	1	yes	characteristic, complemented
89	#88148	C₂²	1	2	yes	complemented
90	#88147	C₂²	1	2	yes	complemented
91	#88146	C₂²	1	1	yes	characteristic, complemented
92	#88142	C₂²	1	1	yes	characteristic, complemented
93	#88142	C₂²	1	2	yes	complemented
94	#88141	C₂²	1	1	yes	characteristic, complemented
95	#88140	C₂²	1	2	yes	complemented
96	#88139	C₂²	1	2	yes	complemented
97	#88139	C₂²	1	1	yes	characteristic, complemented
98	#88139	C₂²	1	2	yes	complemented
99	#88139	C₂²	1	2	yes	complemented
100	#88139	C₂²	1	2	yes	complemented
101	#88139	C₂²	1	2	yes	complemented
102	#88139	C₂²	1	2	yes	complemented
103	#88139	C₂²	1	2	yes	complemented
104	#88139	C₂²	1	1	yes	characteristic, complemented
105	#88139	C₂²	1	2	yes	complemented
106	#88138	C₂²	1	1	yes	characteristic, complemented
107	#88138	C₂²	1	2	yes	complemented
108	#88138	C₂²	1	1	yes	characteristic, complemented
109	#88138	C₂²	1	2	yes	complemented
110	#88137	C₂²	1	2	yes	complemented
111	#88136	C₂²	1	2	yes	complemented
112	#88136	C₂²	1	2	yes	complemented
113	#88135	C₂²	1	2	yes	complemented
114	#88135	C₂²	1	2	yes	complemented
115	#88135	C₂²	1	2	yes	complemented
116	C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
117	C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
118	#88132	C₂²	1	2	yes	complemented
119	#88132	C₂²	1	2	yes	complemented
120	#88131	C₂²	1	2	yes	complemented
121	#88129	C₂²	1	1	yes	characteristic, complemented
122	C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
123	C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
124	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
125	C₂⁴×C₁₃	C₂³	1	2	yes	—
126	C₂³×D₁₃	C₂³	1	2	yes	—
127	C₂³×D₁₃	C₂³	1	2	yes	—
128	C₁₃×#41	—	2	4	no	—
129	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic
130	C₂×D₄×C₁₃	—	2	4	no	—
131	C₂×D₄×C₁₃	C₂³	1	2	yes	—
132	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂×D₄×C₁₃	C₂³	1	2	yes	—
134	C₂×D₄×C₁₃	C₂³	1	2	yes	—
135	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
136	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×C₄×C₁₃	C₂³	1	2	yes	—
139	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×C₄×C₁₃	C₂³	1	2	yes	—
141	C₂×C₂²⋊D₁₃	—	2	8	no	—
142	C₂×C₂²⋊D₁₃	—	2	8	no	—
143	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
144	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
145	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
146	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
147	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
148	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
149	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
150	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
151	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
152	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
153	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
154	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
155	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
156	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×Dic₁₃	C₂³	1	2	yes	—
158	C₂²×Dic₁₃	C₂³	1	2	yes	—
159	C₂²×Dic₁₃	C₂³	1	2	yes	—
160	C₂²×Dic₁₃	C₂³	1	2	yes	—
161	C₂²×Dic₁₃	C₂³	1	2	yes	—
162	Q₈×D₁₃	—	2	4	no	—
163	Q₈×D₁₃	—	2	4	no	—
164	#6129	—	2	4	no	—
165	#6129	—	2	8	no	—
166	#6129	—	2	8	no	—
167	#6129	—	2	8	no	—
168	#6129	—	2	4	no	—
169	#6129	D₄	1	8	yes	complemented
170	D₄×D₁₃	—	2	4	no	—
171	D₄×D₁₃	—	2	8	no	—
172	D₄×D₁₃	—	2	4	no	—
173	#6127	—	2	8	no	—
174	#6127	—	2	4	no	—
175	#6127	—	2	4	no	—
176	#6127	—	2	4	no	—
177	C₂×D₅₂	C₂³	1	1	yes	characteristic
178	C₂×D₅₂	C₂³	1	1	yes	characteristic
179	C₂×D₅₂	C₂³	1	1	yes	characteristic
180	C₂×D₅₂	C₂³	1	1	yes	characteristic
181	C₂×D₅₂	C₂³	1	2	yes	—
182	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
183	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
184	C₂×C₄×D₁₃	C₂³	1	2	yes	—
185	C₂×C₄×D₁₃	C₂³	1	2	yes	—
186	C₂×C₄×D₁₃	C₂³	1	2	yes	—
187	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
188	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
189	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂×Dic₂₆	—	2	8	no	—
191	C₂×Dic₂₆	—	2	4	no	—
192	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
193	C₂×Dic₂₆	C₂³	1	2	yes	—
194	C₂×Dic₂₆	C₂³	1	2	yes	—
195	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
196	C₂×Dic₂₆	C₂³	1	2	yes	—
197	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
198	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
199	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
201	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
211	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
212	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
213	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
214	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
215	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
216	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
217	#6103	C₂³	1	1	yes	characteristic
218	#6103	C₂³	1	1	yes	characteristic
219	#6103	C₂³	1	2	yes	—
220	#6103	C₂³	1	2	yes	—
221	#6103	C₂³	1	2	yes	—
222	#6103	C₂³	1	2	yes	—
223	#6103	C₂³	1	2	yes	—
224	#6103	C₂³	1	2	yes	—
225	#6103	C₂³	1	2	yes	—
226	#6103	C₂³	1	2	yes	—
227	#6103	C₂³	1	1	yes	characteristic
228	#6103	C₂³	1	2	yes	—
229	#6103	C₂³	1	1	yes	characteristic
230	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₄⋊Dic₁₃	C₂³	1	2	yes	—
233	#6101	C₂³	1	2	yes	—
234	#6101	C₂³	1	2	yes	—
235	#6101	C₂³	1	1	yes	characteristic
236	#6101	C₂³	1	2	yes	—
237	#6101	C₂³	1	2	yes	—
238	#6101	C₂³	1	1	yes	characteristic
239	C₄×Dic₁₃	C₂³	1	2	yes	—
240	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
241	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
242	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
243	C₄×Dic₁₃	C₂³	1	2	yes	—
244	C₄×Dic₁₃	C₂³	1	2	yes	—
245	#3500	—	13	1	no	maximal, Sylow
246	C₂³×C₁₃	—	2	4	no	—
247	C₂³×C₁₃	—	4	2	no	—
248	C₂³×C₁₃	—	4	2	no	—
249	C₂³×C₁₃	C₂⁴	1	2	yes	—
250	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
251	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
252	C₂³×C₁₃	C₂⁴	1	2	yes	—
253	C₂²×D₁₃	—	2	4	no	—
254	C₂²×D₁₃	—	2	4	no	—
255	C₂²×D₁₃	—	4	2	no	—
256	C₂²×D₁₃	—	4	2	no	—
257	C₂²×D₁₃	—	4	2	no	—
258	C₂²×D₁₃	—	4	2	no	—
259	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
260	C₂²×D₁₃	C₂⁴	1	2	yes	—
261	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
262	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
263	Q₈×C₁₃	—	2	2	no	—
264	D₄×C₁₃	—	2	4	no	—
265	D₄×C₁₃	—	2	4	no	—
266	D₄×C₁₃	—	2	2	no	—
267	D₄×C₁₃	—	4	1	no	—
268	D₄×C₁₃	—	4	2	no	—
269	D₄×C₁₃	C₂×D₄	1	4	yes	—
270	C₂×C₄×C₁₃	—	2	4	no	—
271	C₂×C₄×C₁₃	—	2	2	no	—
272	C₂×C₄×C₁₃	—	2	2	no	—
273	C₂×C₄×C₁₃	—	4	2	no	—
274	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
275	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
276	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
277	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
278	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
279	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
280	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
281	C₂²⋊D₁₃	—	2	4	no	—
282	C₂²⋊D₁₃	—	2	4	no	—
283	C₂²⋊D₁₃	—	2	2	no	—
284	C₂²⋊D₁₃	—	2	2	no	—
285	C₂²⋊D₁₃	—	2	2	no	—
286	C₂²⋊D₁₃	—	2	2	no	—
287	C₂²⋊D₁₃	—	2	4	no	—
288	C₂²⋊D₁₃	—	2	4	no	—
289	C₂²⋊D₁₃	—	2	4	no	—
290	C₂²⋊D₁₃	—	4	1	no	—
291	C₂²⋊D₁₃	—	4	1	no	—
292	C₂²⋊D₁₃	—	4	2	no	—
293	C₂²⋊D₁₃	—	4	2	no	—
294	C₂²⋊D₁₃	C₂×D₄	1	8	yes	—
295	C₂×Dic₁₃	—	2	4	no	—
296	C₂×Dic₁₃	—	2	4	no	—
297	C₂×Dic₁₃	—	2	4	no	—
298	C₂×Dic₁₃	—	4	2	no	—
299	C₂×Dic₁₃	C₂×D₄	1	8	yes	—
300	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
301	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
302	C₂×Dic₁₃	C₂⁴	1	2	yes	—
303	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
304	C₂×Dic₁₃	C₂⁴	1	2	yes	—
305	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
306	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
307	C₂×Dic₁₃	C₂⁴	1	2	yes	—
308	D₅₂	—	2	2	no	—
309	D₅₂	—	2	2	no	—
310	D₅₂	—	2	2	no	—
311	D₅₂	—	4	1	no	—
312	D₅₂	—	4	2	no	—
313	C₄×D₁₃	—	2	4	no	—
314	C₄×D₁₃	—	2	2	no	—
315	C₄×D₁₃	—	2	2	no	—
316	C₄×D₁₃	—	2	4	no	—
317	C₄×D₁₃	—	2	4	no	—
318	C₄×D₁₃	—	4	1	no	—
319	C₄×D₁₃	—	4	1	no	—
320	C₄×D₁₃	C₂×D₄	1	4	yes	—
321	Dic₂₆	—	2	2	no	—
322	Dic₂₆	—	2	2	no	—
323	Dic₂₆	—	2	4	no	—
324	Dic₂₆	—	2	4	no	—
325	Dic₂₆	—	2	4	no	—
326	Dic₂₆	—	2	2	no	—
327	Dic₂₆	C₂×D₄	1	4	yes	—
328	C₂×2₋¹⁺⁴	—	13	1	no	—
329	C₂×H(5,𝔽₂)	—	13	1	no	—
330	#548	—	13	1	no	—
331	#548	—	13	1	no	—
332	#548	—	13	1	no	—
333	#548	—	13	1	no	—
334	#546	—	13	1	no	—
335	#546	—	13	1	no	—
336	#546	—	13	2	no	—
337	#546	—	13	2	no	—
338	#546	—	13	2	no	—
339	#546	—	13	1	no	—
340	#546	—	13	2	no	—
341	#546	D₁₃	1	1	yes	characteristic, complemented
342	#536	—	13	2	no	—
343	#536	—	13	1	no	—
344	#535	—	13	1	no	—
345	#535	—	13	2	no	—
346	#532	—	13	2	no	—
347	#532	—	13	1	no	—
348	C₂×#124	—	13	1	no	—
349	C₂×#124	—	13	2	no	—
350	C₄×#41	—	13	1	no	—
351	C₂²×C₁₃	—	2	2	no	—
352	C₂²×C₁₃	—	2	2	no	—
353	C₂²×C₁₃	—	2	1	no	—
354	C₂²×C₁₃	—	2	2	no	—
355	C₂²×C₁₃	—	2	1	no	—
356	C₂²×C₁₃	—	2	1	no	—
357	C₂²×C₁₃	—	2	1	no	—
358	C₂²×C₁₃	—	2	2	no	—
359	C₂²×C₁₃	—	2	1	no	—
360	C₂²×C₁₃	—	2	2	no	—
361	C₂²×C₁₃	—	2	1	no	—
362	C₂²×C₁₃	—	8	4	no	—
363	C₂²×C₁₃	C₂²×D₄	1	4	yes	—
364	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
365	C₂×D₁₃	—	2	1	no	—
366	C₂×D₁₃	—	2	1	no	—
367	C₂×D₁₃	—	2	1	no	—
368	C₂×D₁₃	—	2	1	no	—
369	C₂×D₁₃	—	2	2	no	—
370	C₂×D₁₃	—	2	1	no	—
371	C₂×D₁₃	—	2	1	no	—
372	C₂×D₁₃	—	2	1	no	—
373	C₂×D₁₃	—	2	2	no	—
374	C₂×D₁₃	—	2	2	no	—
375	C₂×D₁₃	—	2	1	no	—
376	C₂×D₁₃	—	8	4	no	—
377	C₂×D₁₃	—	8	4	no	—
378	C₂×D₁₃	C₂²×D₄	1	2	yes	—
379	C₄×C₁₃	—	2	1	no	—
380	C₄×C₁₃	—	2	2	no	—
381	C₄×C₁₃	—	2	1	no	—
382	C₄×C₁₃	—	2	1	no	—
383	C₄×C₁₃	—	2	1	no	—
384	C₄×C₁₃	—	2	2	no	—
385	C₄×C₁₃	C₂²×D₄	1	2	yes	—
386	Dic₁₃	—	2	2	no	—
387	Dic₁₃	—	2	1	no	—
388	Dic₁₃	—	2	1	no	—
389	Dic₁₃	—	2	1	no	—
390	Dic₁₃	—	2	1	no	—
391	Dic₁₃	—	2	2	no	—
392	Dic₁₃	C₂²×D₄	1	2	yes	—
393	Dic₁₃	C₂²×D₄	1	4	yes	—
394	2₋¹⁺⁴	—	26	8	no	—
395	H(5,𝔽₂)	—	26	8	no	—
396	C₂×#41	—	13	1	no	—
397	C₂×#41	—	13	2	no	—
398	C₂×#41	—	13	2	no	—
399	C₂×#41	—	13	1	no	—
400	C₂×#41	—	13	2	no	—
401	C₂×#41	—	13	1	no	—
402	C₂×#41	—	13	1	no	—
403	C₂×#41	—	13	1	no	—
404	C₂×#41	—	13	2	no	—
405	C₂×#41	—	13	1	no	—
406	C₂×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
407	C₂²×Q₈	—	13	1	no	—
408	C₂²×Q₈	—	13	1	no	—
409	C₂²×Q₈	—	13	2	no	—
410	C₂²×Q₈	—	13	1	no	—
411	C₂²×D₄	—	13	2	no	—
412	C₂²×D₄	—	13	2	no	—
413	C₂²×D₄	—	13	1	no	—
414	C₂²×D₄	—	13	2	no	—
415	C₂²×D₄	—	13	1	no	—
416	C₂²×D₄	C₂×D₁₃	1	1	yes	characteristic
417	C₄⋊Q₈	—	13	2	no	—
418	C₄⋊Q₈	—	13	1	no	—
419	#127	—	13	2	no	—
420	#127	—	13	1	no	—
421	#124	—	13	1	no	—
422	#124	—	13	1	no	—
423	#124	—	13	2	no	—
424	#124	—	13	1	no	—
425	#124	—	13	2	no	—
426	#124	—	13	2	no	—
427	#124	—	13	2	no	—
428	#124	—	13	2	no	—
429	#124	—	13	2	no	—
430	#124	—	13	2	no	—
431	#124	—	13	2	no	—
432	#124	—	13	1	no	—
433	#124	—	13	1	no	—
434	#124	C₂×D₁₃	1	1	yes	characteristic, complemented
435	#123	—	13	2	no	—
436	#123	—	13	2	no	—
437	#123	—	13	2	no	—
438	#123	—	13	2	no	—
439	#123	—	13	2	no	—
440	#123	C₂×D₁₃	1	2	yes	complemented
441	C₂²⋊Q₈	—	13	1	no	—
442	C₂²⋊Q₈	—	13	1	no	—
443	C₂²⋊Q₈	—	13	2	no	—
444	C₂²⋊Q₈	—	13	2	no	—
445	C₂²⋊Q₈	—	13	1	no	—
446	C₂²⋊Q₈	—	13	2	no	—
447	C₂²⋊Q₈	—	13	2	no	—
448	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
449	#121	—	13	1	no	—
450	#121	—	13	2	no	—
451	#121	—	13	2	no	—
452	#121	—	13	1	no	—
453	#121	—	13	2	no	—
454	#121	—	13	2	no	—
455	#121	—	13	2	no	—
456	#121	—	13	1	no	—
457	#121	—	13	1	no	—
458	#121	—	13	1	no	—
459	#121	—	13	1	no	—
460	#121	—	13	1	no	—
461	#121	—	13	2	no	—
462	#121	—	13	2	no	—
463	#121	C₂×D₁₃	1	2	yes	complemented
464	#121	C₂×D₁₃	1	1	yes	characteristic, complemented
465	#120	—	13	2	no	—
466	#120	—	13	2	no	—
467	#120	—	13	2	no	—
468	#120	—	13	2	no	—
469	#120	—	13	2	no	—
470	#120	C₂×D₁₃	1	2	yes	complemented
471	C₄×Q₈	—	13	1	no	—
472	C₄×Q₈	—	13	1	no	—
473	C₄×D₄	—	13	1	no	—
474	C₄×D₄	—	13	2	no	—
475	C₄×D₄	—	13	2	no	—
476	C₄×D₄	—	13	1	no	—
477	C₄×D₄	—	13	1	no	—
478	C₄×D₄	—	13	2	no	—
479	C₄×D₄	—	13	2	no	—
480	C₄×D₄	—	13	2	no	—
481	C₄×D₄	—	13	2	no	—
482	C₄×D₄	—	13	1	no	—
483	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
484	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
485	#117	—	13	1	no	—
486	#117	—	13	2	no	—
487	C₂×C₂²⋊C₄	—	13	2	no	—
488	C₂×C₂²⋊C₄	—	13	2	no	—
489	C₂×C₂²⋊C₄	—	13	2	no	—
490	C₂×C₂²⋊C₄	—	13	2	no	—
491	C₂×C₂²⋊C₄	—	13	2	no	—
492	C₂×C₂²⋊C₄	C₂×D₁₃	1	2	yes	complemented
493	C₂×C₄²	—	13	2	no	—
494	C₂×C₄²	—	13	1	no	—
495	C₂×C₁₃	—	2	4	no	—
496	C₂×C₁₃	—	4	2	no	—
497	C₂×C₁₃	—	4	1	no	—
498	C₂×C₁₃	—	4	1	no	—
499	C₂×C₁₃	C₂³×D₄	1	1	yes	characteristic
500	C₂×C₁₃	#585	1	1	yes	characteristic
501	C₂×C₁₃	#585	1	1	yes	characteristic
502	D₁₃	—	2	2	no	—
503	D₁₃	—	4	1	no	—
504	D₁₃	—	4	2	no	—
505	D₁₃	—	4	1	no	—
506	C₂⁴	—	13	2	no	—
507	C₂⁴	—	13	2	no	—
508	C₂⁴	C₂²×D₁₃	1	2	yes	—
509	#41	—	2	4	no	—
510	#41	—	13	8	no	—
511	#41	—	26	4	no	—
512	#41	—	26	4	no	—
513	#41	—	26	8	no	—
514	#41	—	26	4	no	—
515	#41	—	26	8	no	—
516	#41	—	26	8	no	—
517	#41	—	26	8	no	—
518	#41	—	26	4	no	—
519	#41	—	26	4	no	—
520	C₂×Q₈	—	13	1	no	—
521	C₂×Q₈	—	13	2	no	—
522	C₂×Q₈	—	13	2	no	—
523	C₂×Q₈	—	13	1	no	—
524	C₂×Q₈	—	13	2	no	—
525	C₂×Q₈	—	13	1	no	—
526	C₂×Q₈	—	13	1	no	—
527	C₂×Q₈	—	26	8	no	—
528	C₂×Q₈	—	26	4	no	—
529	C₂×Q₈	—	26	4	no	—
530	C₂×Q₈	—	26	4	no	—
531	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic
532	C₂×D₄	—	2	4	no	—
533	C₂×D₄	—	13	2	no	—
534	C₂×D₄	—	13	1	no	—
535	C₂×D₄	—	13	2	no	—
536	C₂×D₄	—	13	1	no	—
537	C₂×D₄	—	13	2	no	—
538	C₂×D₄	—	13	2	no	—
539	C₂×D₄	—	13	2	no	—
540	C₂×D₄	—	13	2	no	—
541	C₂×D₄	—	13	1	no	—
542	C₂×D₄	—	13	1	no	—
543	C₂×D₄	—	13	1	no	—
544	C₂×D₄	—	13	2	no	—
545	C₂×D₄	—	13	2	no	—
546	C₂×D₄	—	13	1	no	—
547	C₂×D₄	—	13	1	no	—
548	C₂×D₄	—	13	1	no	—
549	C₂×D₄	—	13	1	no	—
550	C₂×D₄	—	13	2	no	—
551	C₂×D₄	—	13	1	no	—
552	C₂×D₄	—	26	4	no	—
553	C₂×D₄	—	26	8	no	—
554	C₂×D₄	—	26	8	no	—
555	C₂×D₄	—	26	8	no	—
556	C₂×D₄	—	26	4	no	—
557	C₂×D₄	C₂²×D₁₃	1	2	yes	—
558	C₂×D₄	C₂²×D₁₃	1	2	yes	—
559	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
560	C₂×D₄	C₂²×D₁₃	1	2	yes	—
561	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
562	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
563	C₂²×C₄	—	13	2	no	—
564	C₂²×C₄	—	13	1	no	—
565	C₂²×C₄	—	13	2	no	—
566	C₂²×C₄	—	13	2	no	—
567	C₂²×C₄	—	13	2	no	—
568	C₂²×C₄	—	13	2	no	—
569	C₂²×C₄	—	13	2	no	—
570	C₂²×C₄	—	13	2	no	—
571	C₂²×C₄	—	13	1	no	—
572	C₂²×C₄	—	13	2	no	—
573	C₂²×C₄	—	13	1	no	—
574	C₂²×C₄	—	13	1	no	—
575	C₂²×C₄	—	13	1	no	—
576	C₂²×C₄	C₂²×D₁₃	1	2	yes	—
577	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
578	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
579	C₂²×C₄	C₂²×D₁₃	1	2	yes	—
580	C₄⋊C₄	—	13	2	no	—
581	C₄⋊C₄	—	13	2	no	—
582	C₄⋊C₄	—	13	1	no	—
583	C₄⋊C₄	—	13	1	no	—
584	C₄⋊C₄	—	13	2	no	—
585	C₄⋊C₄	—	13	2	no	—
586	C₄⋊C₄	—	13	1	no	—
587	C₄⋊C₄	—	13	2	no	—
588	C₄⋊C₄	—	13	1	no	—
589	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
590	C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
591	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
592	C₂²⋊C₄	—	13	2	no	—
593	C₂²⋊C₄	—	13	1	no	—
594	C₂²⋊C₄	—	13	2	no	—
595	C₂²⋊C₄	—	13	2	no	—
596	C₂²⋊C₄	—	13	2	no	—
597	C₂²⋊C₄	—	13	2	no	—
598	C₂²⋊C₄	—	13	1	no	—
599	C₂²⋊C₄	—	13	2	no	—
600	C₂²⋊C₄	—	13	1	no	—
601	C₂²⋊C₄	—	13	1	no	—
602	C₂²⋊C₄	—	13	2	no	—
603	C₂²⋊C₄	—	13	2	no	—
604	C₂²⋊C₄	—	13	2	no	—
605	C₂²⋊C₄	—	13	2	no	—
606	C₂²⋊C₄	—	13	2	no	—
607	C₂²⋊C₄	—	13	2	no	—
608	C₂²⋊C₄	—	13	2	no	—
609	C₂²⋊C₄	—	13	2	no	—
610	C₂²⋊C₄	—	13	1	no	—
611	C₂²⋊C₄	—	13	1	no	—
612	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
613	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
614	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
615	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
616	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
617	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
618	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
619	C₄²	—	13	1	no	—
620	C₄²	—	13	2	no	—
621	C₄²	—	13	1	no	—
622	C₄²	—	13	2	no	—
623	C₄²	—	13	2	no	—
624	C₄²	—	13	1	no	—
625	C₄²	C₂²×D₁₃	1	1	yes	characteristic
626	C₁₃	#3500	1	1	yes	characteristic, complemented, Sylow
627	C₂³	—	2	4	no	—
628	C₂³	—	4	2	no	—
629	C₂³	—	4	2	no	—
630	C₂³	—	13	1	no	—
631	C₂³	—	13	2	no	—
632	C₂³	—	13	1	no	—
633	C₂³	—	13	1	no	—
634	C₂³	—	26	4	no	—
635	C₂³	—	26	4	no	—
636	C₂³	—	52	2	no	—
637	C₂³	—	52	2	no	—
638	C₂³	—	52	2	no	—
639	C₂³	—	52	2	no	—
640	C₂³	C₂³×D₁₃	1	2	yes	—
641	C₂³	C₂³×D₁₃	1	1	yes	characteristic
642	C₂³	C₂³×D₁₃	1	1	yes	characteristic
643	C₂³	C₂³×D₁₃	1	2	yes	—
644	Q₈	—	2	2	no	—
645	Q₈	—	13	4	no	—
646	Q₈	—	26	2	no	—
647	Q₈	—	26	4	no	—
648	Q₈	—	26	4	no	—
649	Q₈	—	26	4	no	—
650	Q₈	—	26	2	no	—
651	Q₈	—	26	2	no	—
652	D₄	—	2	4	no	—
653	D₄	—	2	4	no	—
654	D₄	—	2	2	no	—
655	D₄	—	4	1	no	—
656	D₄	—	4	2	no	—
657	D₄	—	13	8	no	—
658	D₄	—	26	2	no	—
659	D₄	—	26	2	no	—
660	D₄	—	26	2	no	—
661	D₄	—	26	4	no	—
662	D₄	—	26	4	no	—
663	D₄	—	26	4	no	—
664	D₄	—	26	2	no	—
665	D₄	—	26	2	no	—
666	D₄	—	26	2	no	—
667	D₄	—	26	4	no	—
668	D₄	—	26	4	no	—
669	D₄	—	26	2	no	—
670	D₄	—	52	1	no	—
671	D₄	—	52	2	no	—
672	D₄	—	52	2	no	—
673	D₄	—	52	2	no	—
674	D₄	—	52	1	no	—
675	D₄	—	52	1	no	—
676	D₄	D₄×D₁₃	1	4	yes	—
677	C₂×C₄	—	2	4	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	4	2	no	—
681	C₂×C₄	—	13	8	no	—
682	C₂×C₄	—	13	1	no	—
683	C₂×C₄	—	13	2	no	—
684	C₂×C₄	—	13	4	no	—
685	C₂×C₄	—	13	1	no	—
686	C₂×C₄	—	13	2	no	—
687	C₂×C₄	—	13	1	no	—
688	C₂×C₄	—	13	1	no	—
689	C₂×C₄	—	13	2	no	—
690	C₂×C₄	—	13	1	no	—
691	C₂×C₄	—	26	4	no	—
692	C₂×C₄	—	26	4	no	—
693	C₂×C₄	—	26	4	no	—
694	C₂×C₄	—	26	4	no	—
695	C₂×C₄	—	26	4	no	—
696	C₂×C₄	—	26	4	no	—
697	C₂×C₄	—	26	2	no	—
698	C₂×C₄	—	26	2	no	—
699	C₂×C₄	—	52	1	no	—
700	C₂×C₄	—	52	1	no	—
701	C₂×C₄	—	52	2	no	—
702	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
703	C₂×C₄	C₂³×D₁₃	1	2	yes	—
704	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
705	C₂×C₄	C₂³×D₁₃	1	2	yes	—
706	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
707	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
708	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
709	C₂²	—	2	2	no	—
710	C₂²	—	2	2	no	—
711	C₂²	—	2	1	no	—
712	C₂²	—	2	1	no	—
713	C₂²	—	2	2	no	—
714	C₂²	—	2	1	no	—
715	C₂²	—	2	1	no	—
716	C₂²	—	2	2	no	—
717	C₂²	—	2	1	no	—
718	C₂²	—	2	2	no	—
719	C₂²	—	2	1	no	—
720	C₂²	—	8	4	no	—
721	C₂²	—	13	2	no	—
722	C₂²	—	26	1	no	—
723	C₂²	—	26	1	no	—
724	C₂²	—	26	1	no	—
725	C₂²	—	26	2	no	—
726	C₂²	—	26	1	no	—
727	C₂²	—	26	1	no	—
728	C₂²	—	26	1	no	—
729	C₂²	—	26	2	no	—
730	C₂²	—	26	1	no	—
731	C₂²	—	26	2	no	—
732	C₂²	—	26	1	no	—
733	C₂²	—	104	4	no	—
734	C₂²	—	104	4	no	—
735	C₂²	C₂×D₄×D₁₃	1	4	yes	—
736	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
737	C₄	—	2	1	no	—
738	C₄	—	2	1	no	—
739	C₄	—	2	2	no	—
740	C₄	—	2	1	no	—
741	C₄	—	2	1	no	—
742	C₄	—	2	2	no	—
743	C₄	—	13	2	no	—
744	C₄	—	13	4	no	—
745	C₄	—	26	1	no	—
746	C₄	—	26	2	no	—
747	C₄	—	26	1	no	—
748	C₄	—	26	1	no	—
749	C₄	—	26	2	no	—
750	C₄	—	26	1	no	—
751	C₄	C₂×D₄×D₁₃	1	2	yes	—
752	C₂	—	2	4	no	—
753	C₂	—	4	1	no	—
754	C₂	—	4	2	no	—
755	C₂	—	4	1	no	—
756	C₂	—	26	2	no	—
757	C₂	—	52	1	no	—
758	C₂	—	52	2	no	—
759	C₂	—	52	1	no	—
760	C₂	C₂²×D₄×D₁₃	1	1	yes	characteristic
761	C₂	#11719648	1	1	yes	characteristic
762	C₂	#11719650	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	#3500
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. C₂×#88257	C₂	semidirect
2. C₂×#88251	C₂	semidirect
3. C₁₃×#546	C₂	semidirect
4. #11719534	C₂	semidirect
5. #11719511	C₂	semidirect
6. #11719382	C₂	semidirect
7. D₁₃×#124	C₂	semidirect
8. #11719359	C₂	semidirect
9. #11719353	C₂	semidirect
10. #11719338	C₂	semidirect
11. #11719333	C₂	semidirect
12. #11719315	C₂	semidirect
13. #11719312	C₂	semidirect
14. #11719303	C₂	semidirect
15. #11719301	C₂	semidirect
16. #11719297	C₂	semidirect
17. #11719296	C₂	semidirect
18. #11719259	C₂	semidirect
19. #11719257	C₂	semidirect
20. #11719253	C₂	semidirect
21. C₄×#6129	C₂	semidirect
22. C₂×#88139	C₂	semidirect
23. #11719195	C₂	semidirect
24. C₂×C₁₃×#41	C₂²	semidirect
29. C₂×Q₈×D₁₃	C₂²	semidirect
30. C₂×Q₈×D₁₃	C₂²	semidirect
35. C₂×#6129	C₂²	semidirect
36. C₂×#6129	C₂²	semidirect
37. C₂×#6129	C₂²	semidirect
43. C₂×#6127	C₂²	semidirect
44. C₂×#6127	C₂²	semidirect
45. C₂²×Dic₂₆	C₂²	semidirect
46. C₂²×Dic₂₆	C₂²	semidirect
47. C₁₃×#124	C₂²	semidirect
48. C₁₃×#123	C₂²	semidirect
49. C₁₃×C₂²⋊Q₈	C₂²	semidirect
50. C₁₃×#121	C₂²	semidirect
51. C₁₃×#121	C₂²	semidirect
52. C₁₃×#120	C₂²	semidirect
53. C₄×D₄×C₁₃	C₂²	semidirect
54. C₄×D₄×C₁₃	C₂²	semidirect
55. C₂×C₁₃×C₂²⋊C₄	C₂²	semidirect
56. #88207	C₂²	semidirect
57. C₂×C₂²⋊Dic₁₃	C₂²	semidirect
58. #88201	C₂²	semidirect
59. #88200	C₂²	semidirect
60. #88194	C₂²	semidirect
61. #88194	C₂²	semidirect
62. #88193	C₂²	semidirect
63. #88193	C₂²	semidirect
64. #88193	C₂²	semidirect
65. #88193	C₂²	semidirect
66. #88192	C₂²	semidirect
67. #88192	C₂²	semidirect
68. #88191	C₂²	semidirect
69. #88191	C₂²	semidirect
70. #88190	C₂²	semidirect
71. #88189	C₂²	semidirect
72. D₄×Dic₁₃	C₂²	semidirect
73. D₄×Dic₁₃	C₂²	semidirect
74. #88184	C₂²	semidirect
75. #88184	C₂²	semidirect
76. #88183	C₂²	semidirect
77. C₄×C₂²⋊D₁₃	C₂²	semidirect
78. C₄×C₂²⋊D₁₃	C₂²	semidirect
79. C₄×C₂²⋊D₁₃	C₂²	semidirect
80. C₂×#6103	C₂²	semidirect
81. C₂×#6103	C₂²	semidirect
82. #88178	C₂²	semidirect
83. C₂×C₄×Dic₁₃	C₂²	semidirect
84. #88151	C₂²	semidirect
85. #88150	C₂²	semidirect
86. #88150	C₂²	semidirect
87. #88149	C₂²	semidirect
88. #88149	C₂²	semidirect
89. #88148	C₂²	semidirect
90. #88147	C₂²	semidirect
91. #88146	C₂²	semidirect
92. #88142	C₂²	semidirect
93. #88142	C₂²	semidirect
94. #88141	C₂²	semidirect
95. #88140	C₂²	semidirect
96. #88139	C₂²	semidirect
97. #88139	C₂²	semidirect
98. #88139	C₂²	semidirect
99. #88139	C₂²	semidirect
100. #88139	C₂²	semidirect
101. #88139	C₂²	semidirect
102. #88139	C₂²	semidirect
103. #88139	C₂²	semidirect
104. #88139	C₂²	semidirect
105. #88139	C₂²	semidirect
106. #88138	C₂²	semidirect
107. #88138	C₂²	semidirect
108. #88138	C₂²	semidirect
109. #88138	C₂²	semidirect
110. #88137	C₂²	semidirect
111. #88136	C₂²	semidirect
112. #88136	C₂²	semidirect
113. #88135	C₂²	semidirect
114. #88135	C₂²	semidirect
115. #88135	C₂²	semidirect
116. C₂²⋊C₄×D₁₃	C₂²	semidirect
117. C₂²⋊C₄×D₁₃	C₂²	semidirect
118. #88132	C₂²	semidirect
119. #88132	C₂²	semidirect
120. #88131	C₂²	semidirect
121. #88129	C₂²	semidirect
122. C₄×D₅₂	C₂²	semidirect
123. C₄²×D₁₃	C₂²	semidirect
124. C₄×Dic₂₆	C₂²	semidirect
169. #6129	D₄	semidirect
341. #546	D₁₃	semidirect
406. C₂×#41	C₂×D₁₃	semidirect
434. #124	C₂×D₁₃	semidirect
440. #123	C₂×D₁₃	semidirect
448. C₂²⋊Q₈	C₂×D₁₃	semidirect
463. #121	C₂×D₁₃	semidirect
464. #121	C₂×D₁₃	semidirect
470. #120	C₂×D₁₃	semidirect
483. C₄×D₄	C₂×D₁₃	semidirect
484. C₄×D₄	C₂×D₁₃	semidirect
492. C₂×C₂²⋊C₄	C₂×D₁₃	semidirect
626. C₁₃	#3500	semidirect

Maximal subgroups

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

subgroup	index
C₂×#88257	2
C₂×#88251	2
C₁₃×#546	2
#11719534	2
#11719511	2
#11719382	2
D₁₃×#124	2
#11719359	2
#11719353	2
#11719338	2
#11719333	2
#11719315	2
#11719312	2
#11719303	2
#11719301	2
#11719297	2
#11719296	2
#11719259	2
#11719257	2
#11719253	2
C₄×#6129	2
C₂×#88139	2
#11719195	2
#3500	13