Subgroups — #13129067

Order 1664.

1270 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄²×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
2	#11719510	C₂	1	1	yes	maximal, characteristic, complemented
3	#11719509	C₂	1	2	yes	maximal, complemented
4	D₄×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
5	D₄×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
6	D₄×C₂²⋊D₁₃	C₂	1	2	yes	maximal, complemented
7	C₂×#88192	C₂	1	1	yes	maximal, characteristic, complemented
8	#11719424	C₂	1	1	yes	maximal, characteristic, complemented
9	#11719422	C₂	1	1	yes	maximal, characteristic, complemented
10	#11719325	C₂	1	2	yes	maximal, complemented
11	#11719323	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719319	C₂	1	1	yes	maximal, characteristic, complemented
13	#11719318	C₂	1	2	yes	maximal, complemented
14	#11719312	C₂	1	1	yes	maximal, characteristic, complemented
15	D₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
16	#11719300	C₂	1	2	yes	maximal, complemented
17	#11719298	C₂	1	2	yes	maximal, complemented
18	#11719295	C₂	1	2	yes	maximal, complemented
19	#11719294	C₂	1	2	yes	maximal, complemented
20	#11719270	C₂	1	1	yes	maximal, characteristic, complemented
21	#11719267	C₂	1	1	yes	maximal, characteristic, complemented
22	#11719263	C₂	1	1	yes	maximal, characteristic, complemented
23	#11719252	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
25	C₂²×D₄×C₁₃	C₂²	1	2	yes	complemented
26	C₂²×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
28	C₂²×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
29	C₂²×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
30	C₂×D₄×D₁₃	C₂²	1	2	yes	complemented
31	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
32	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂×D₄×D₁₃	C₂²	1	2	yes	complemented
34	C₂×#6127	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#121	C₂²	1	2	yes	complemented
40	C₁₃×#120	C₂²	1	2	yes	complemented
41	C₁₃×#120	C₂²	1	2	yes	complemented
42	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	#88207	C₂²	1	2	yes	complemented
45	#88207	C₂²	1	2	yes	complemented
46	#88207	C₂²	1	2	yes	complemented
47	#88207	C₂²	1	2	yes	complemented
48	C₂×C₂²⋊Dic₁₃	C₂²	1	2	yes	complemented
49	#88194	C₂²	1	1	yes	characteristic, complemented
50	#88194	C₂²	1	2	yes	complemented
51	#88194	C₂²	1	2	yes	complemented
52	#88193	C₂²	1	2	yes	complemented
53	#88193	C₂²	1	2	yes	complemented
54	#88193	C₂²	1	2	yes	complemented
55	#88193	C₂²	1	2	yes	complemented
56	#88193	C₂²	1	2	yes	complemented
57	#88193	C₂²	1	1	yes	characteristic, complemented
58	#88193	C₂²	1	2	yes	complemented
59	#88193	C₂²	1	2	yes	complemented
60	#88192	C₂²	1	1	yes	characteristic, complemented
61	#88192	C₂²	1	1	yes	characteristic, complemented
62	#88192	C₂²	1	1	yes	characteristic, complemented
63	#88192	C₂²	1	1	yes	characteristic, complemented
64	#88192	C₂²	1	2	yes	complemented
65	#88192	C₂²	1	2	yes	complemented
66	#88192	C₂²	1	1	yes	characteristic, complemented
67	#88192	C₂²	1	1	yes	characteristic, complemented
68	#88192	C₂²	1	2	yes	complemented
69	#88192	C₂²	1	1	yes	characteristic, complemented
70	#88192	C₂²	1	2	yes	complemented
71	#88191	C₂²	1	1	yes	characteristic, complemented
72	#88191	C₂²	1	2	yes	complemented
73	#88191	C₂²	1	2	yes	complemented
74	#88191	C₂²	1	2	yes	complemented
75	#88191	C₂²	1	2	yes	complemented
76	#88191	C₂²	1	2	yes	complemented
77	#88190	C₂²	1	2	yes	complemented
78	#88189	C₂²	1	2	yes	complemented
79	#88189	C₂²	1	2	yes	complemented
80	#88189	C₂²	1	2	yes	complemented
81	D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
82	D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
83	D₄×Dic₁₃	C₂²	1	2	yes	complemented
84	#88184	C₂²	1	2	yes	complemented
85	#88184	C₂²	1	1	yes	characteristic, complemented
86	#88184	C₂²	1	1	yes	characteristic, complemented
87	#88183	C₂²	1	2	yes	complemented
88	#88183	C₂²	1	2	yes	complemented
89	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
92	#88180	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
94	#88152	C₂²	1	2	yes	complemented
95	#88150	C₂²	1	1	yes	characteristic, complemented
96	#88149	C₂²	1	1	yes	characteristic, complemented
97	#88148	C₂²	1	1	yes	characteristic, complemented
98	#88146	C₂²	1	1	yes	characteristic, complemented
99	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
100	#88144	C₂²	1	1	yes	characteristic, complemented
101	#88140	C₂²	1	2	yes	complemented
102	#88139	C₂²	1	2	yes	complemented
103	#88138	C₂²	1	1	yes	characteristic, complemented
104	#88138	C₂²	1	2	yes	complemented
105	#88138	C₂²	1	2	yes	complemented
106	#88138	C₂²	1	2	yes	complemented
107	#88137	C₂²	1	1	yes	characteristic, complemented
108	#88137	C₂²	1	2	yes	complemented
109	#88137	C₂²	1	2	yes	complemented
110	#88136	C₂²	1	1	yes	characteristic, complemented
111	#88136	C₂²	1	2	yes	complemented
112	#88135	C₂²	1	2	yes	complemented
113	#88135	C₂²	1	2	yes	complemented
114	C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
115	#88133	C₂²	1	2	yes	complemented
116	#88133	C₂²	1	2	yes	complemented
117	#88133	C₂²	1	2	yes	complemented
118	#88132	C₂²	1	1	yes	characteristic, complemented
119	C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
120	C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
121	#88126	C₂²	1	1	yes	characteristic, complemented
122	#88124	C₂²	1	1	yes	characteristic, complemented
123	C₂⁴×C₁₃	C₂³	1	2	yes	—
124	C₂⁴×C₁₃	C₂³	1	2	yes	—
125	C₂³×D₁₃	C₂³	1	1	yes	characteristic
126	C₂³×D₁₃	C₂³	1	2	yes	—
127	C₂³×D₁₃	C₂³	1	2	yes	—
128	C₂×D₄×C₁₃	—	4	2	no	—
129	C₂×D₄×C₁₃	—	4	2	no	—
130	C₂×D₄×C₁₃	—	4	4	no	—
131	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
132	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂×D₄×C₁₃	C₂³	1	2	yes	—
134	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
136	C₂×D₄×C₁₃	C₂³	1	2	yes	—
137	C₂×D₄×C₁₃	C₂³	1	2	yes	—
138	C₂×D₄×C₁₃	C₂³	1	2	yes	—
139	C₂×D₄×C₁₃	C₂³	1	2	yes	—
140	C₂×D₄×C₁₃	C₂³	1	2	yes	—
141	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×C₄×C₁₃	C₂³	1	2	yes	—
144	C₂×C₂²⋊D₁₃	—	4	4	no	—
145	C₂×C₂²⋊D₁₃	—	4	4	no	—
146	C₂×C₂²⋊D₁₃	—	4	4	no	—
147	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
148	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
149	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
155	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
156	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
160	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
161	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
162	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
163	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
164	C₂²×Dic₁₃	C₂³	1	1	yes	characteristic
165	C₂²×Dic₁₃	C₂³	1	2	yes	—
166	C₂²×Dic₁₃	C₂³	1	2	yes	—
167	C₂²×Dic₁₃	C₂³	1	2	yes	—
168	D₄×D₁₃	—	4	2	no	—
169	D₄×D₁₃	—	4	2	no	—
170	D₄×D₁₃	—	4	4	no	—
171	D₄×D₁₃	—	4	4	no	—
172	#6127	—	4	2	no	—
173	C₂×D₅₂	C₂³	1	1	yes	characteristic
174	C₂×D₅₂	C₂³	1	1	yes	characteristic
175	C₂×D₅₂	C₂³	1	1	yes	characteristic
176	C₂×D₅₂	C₂³	1	2	yes	—
177	C₂×C₄×D₁₃	—	4	2	no	—
178	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
179	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
180	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
181	C₂×C₄×D₁₃	C₂³	1	2	yes	—
182	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
183	C₂×C₄×D₁₃	C₂³	1	2	yes	—
184	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
185	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
186	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
187	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
188	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
189	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
193	C₄²×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
195	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
196	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
197	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
198	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
199	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
200	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
201	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
202	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
203	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
204	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
205	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
206	#6103	C₂³	1	1	yes	characteristic
207	#6103	C₂³	1	1	yes	characteristic
208	#6103	C₂³	1	1	yes	characteristic
209	#6103	C₂³	1	1	yes	characteristic
210	#6103	C₂³	1	2	yes	—
211	#6103	C₂³	1	2	yes	—
212	#6103	C₂³	1	2	yes	—
213	#6103	C₂³	1	1	yes	characteristic
214	#6103	C₂³	1	2	yes	—
215	#6103	C₂³	1	2	yes	—
216	#6103	C₂³	1	1	yes	characteristic
217	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
218	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
219	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
220	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
221	C₄⋊Dic₁₃	C₂³	1	2	yes	—
222	C₄⋊Dic₁₃	C₂³	1	2	yes	—
223	#6101	C₂³	1	2	yes	—
224	#6101	C₂³	1	2	yes	—
225	#6101	C₂³	1	1	yes	characteristic
226	#6101	C₂³	1	1	yes	characteristic
227	#6101	C₂³	1	1	yes	characteristic
228	#6101	C₂³	1	1	yes	characteristic
229	#6101	C₂³	1	2	yes	—
230	#6101	C₂³	1	2	yes	—
231	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
232	C₄×Dic₁₃	C₂³	1	2	yes	—
233	C₄×Dic₁₃	C₂³	1	2	yes	—
234	#3537	—	13	1	no	maximal, Sylow
235	C₂³×C₁₃	—	2	4	no	—
236	C₂³×C₁₃	—	4	2	no	—
237	C₂³×C₁₃	—	4	2	no	—
238	C₂³×C₁₃	—	4	2	no	—
239	C₂³×C₁₃	—	4	2	no	—
240	C₂³×C₁₃	—	4	2	no	—
241	C₂³×C₁₃	C₂⁴	1	2	yes	—
242	C₂³×C₁₃	C₂⁴	1	2	yes	—
243	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
244	C₂³×C₁₃	C₂⁴	1	2	yes	—
245	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
246	C₂²×D₁₃	—	2	2	no	—
247	C₂²×D₁₃	—	2	2	no	—
248	C₂²×D₁₃	—	2	4	no	—
249	C₂²×D₁₃	—	4	1	no	—
250	C₂²×D₁₃	—	4	2	no	—
251	C₂²×D₁₃	—	4	2	no	—
252	C₂²×D₁₃	—	4	2	no	—
253	C₂²×D₁₃	—	4	2	no	—
254	C₂²×D₁₃	—	4	2	no	—
255	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
256	C₂²×D₁₃	C₂⁴	1	2	yes	—
257	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
258	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
259	D₄×C₁₃	—	2	4	no	—
260	D₄×C₁₃	—	2	2	no	—
261	D₄×C₁₃	—	2	2	no	—
262	D₄×C₁₃	—	2	2	no	—
263	D₄×C₁₃	—	2	2	no	—
264	D₄×C₁₃	—	4	2	no	—
265	D₄×C₁₃	—	4	2	no	—
266	D₄×C₁₃	—	4	2	no	—
267	D₄×C₁₃	—	4	2	no	—
268	D₄×C₁₃	—	4	2	no	—
269	C₂×C₄×C₁₃	—	2	2	no	—
270	C₂×C₄×C₁₃	—	2	2	no	—
271	C₂×C₄×C₁₃	—	4	2	no	—
272	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
273	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
274	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
275	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
276	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
277	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
278	C₂²⋊D₁₃	—	2	4	no	—
279	C₂²⋊D₁₃	—	2	2	no	—
280	C₂²⋊D₁₃	—	2	4	no	—
281	C₂²⋊D₁₃	—	2	4	no	—
282	C₂²⋊D₁₃	—	2	2	no	—
283	C₂²⋊D₁₃	—	4	1	no	—
284	C₂²⋊D₁₃	—	4	1	no	—
285	C₂²⋊D₁₃	—	4	2	no	—
286	C₂²⋊D₁₃	—	4	2	no	—
287	C₂²⋊D₁₃	—	4	2	no	—
288	C₂²⋊D₁₃	—	4	2	no	—
289	C₂²⋊D₁₃	—	4	2	no	—
290	C₂²⋊D₁₃	—	4	2	no	—
291	C₂²⋊D₁₃	—	4	2	no	—
292	C₂²⋊D₁₃	—	4	2	no	—
293	C₂²⋊D₁₃	—	4	2	no	—
294	C₂²⋊D₁₃	—	4	2	no	—
295	C₂×Dic₁₃	—	4	1	no	—
296	C₂×Dic₁₃	—	4	2	no	—
297	C₂×Dic₁₃	—	4	2	no	—
298	C₂×Dic₁₃	—	4	2	no	—
299	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
300	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
301	C₂×Dic₁₃	C₂⁴	1	2	yes	—
302	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
303	C₂×Dic₁₃	C₂⁴	1	2	yes	—
304	C₂×Dic₁₃	C₂⁴	1	2	yes	—
305	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
306	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
307	D₅₂	—	2	2	no	—
308	D₅₂	—	2	2	no	—
309	D₅₂	—	4	1	no	—
310	D₅₂	—	4	2	no	—
311	C₄×D₁₃	—	2	2	no	—
312	C₄×D₁₃	—	2	2	no	—
313	C₄×D₁₃	—	2	2	no	—
314	C₄×D₁₃	—	4	1	no	—
315	C₄×D₁₃	—	4	1	no	—
316	C₄×D₁₃	—	4	2	no	—
317	C₄×D₁₃	—	4	2	no	—
318	Dic₂₆	—	4	1	no	—
319	#560	—	13	2	no	—
320	#560	—	13	2	no	—
321	#553	—	13	1	no	—
322	#553	—	13	1	no	—
323	#553	—	13	1	no	—
324	#553	—	13	1	no	—
325	D₄²	—	13	2	no	—
326	D₄²	—	13	1	no	—
327	D₄²	—	13	1	no	—
328	D₄²	—	13	1	no	—
329	D₄²	—	13	2	no	—
330	D₄²	D₁₃	1	1	yes	characteristic, complemented
331	#540	—	13	1	no	—
332	#540	—	13	1	no	—
333	#538	—	13	2	no	—
334	#538	—	13	2	no	—
335	#535	—	13	1	no	—
336	#535	—	13	1	no	—
337	#534	—	13	2	no	—
338	#534	—	13	2	no	—
339	#525	—	13	1	no	—
340	C₂×#121	—	13	1	no	—
341	C₂×#121	—	13	1	no	—
342	C₂²×C₁₃	—	2	1	no	—
343	C₂²×C₁₃	—	2	1	no	—
344	C₂²×C₁₃	—	2	2	no	—
345	C₂²×C₁₃	—	2	2	no	—
346	C₂²×C₁₃	—	2	1	no	—
347	C₂²×C₁₃	—	2	2	no	—
348	C₂²×C₁₃	—	2	2	no	—
349	C₂²×C₁₃	—	2	1	no	—
350	C₂²×C₁₃	—	2	2	no	—
351	C₂²×C₁₃	—	2	2	no	—
352	C₂²×C₁₃	—	2	2	no	—
353	C₂²×C₁₃	—	2	2	no	—
354	C₂²×C₁₃	—	2	1	no	—
355	C₂²×C₁₃	—	2	2	no	—
356	C₂²×C₁₃	—	8	4	no	—
357	C₂²×C₁₃	—	8	4	no	—
358	C₂²×C₁₃	H(5,𝔽₂)	1	2	yes	—
359	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
360	C₂×D₁₃	—	2	1	no	—
361	C₂×D₁₃	—	2	1	no	—
362	C₂×D₁₃	—	2	1	no	—
363	C₂×D₁₃	—	2	1	no	—
364	C₂×D₁₃	—	2	2	no	—
365	C₂×D₁₃	—	2	2	no	—
366	C₂×D₁₃	—	2	1	no	—
367	C₂×D₁₃	—	2	1	no	—
368	C₂×D₁₃	—	2	2	no	—
369	C₂×D₁₃	—	2	1	no	—
370	C₂×D₁₃	—	2	1	no	—
371	C₂×D₁₃	—	4	4	no	—
372	C₂×D₁₃	—	8	4	no	—
373	C₂×D₁₃	—	8	4	no	—
374	C₂×D₁₃	H(5,𝔽₂)	1	2	yes	—
375	C₄×C₁₃	—	2	1	no	—
376	C₄×C₁₃	—	2	1	no	—
377	C₄×C₁₃	—	2	1	no	—
378	C₄×C₁₃	—	2	2	no	—
379	C₄×C₁₃	—	2	1	no	—
380	C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
381	Dic₁₃	—	2	1	no	—
382	Dic₁₃	—	2	1	no	—
383	Dic₁₃	—	2	1	no	—
384	Dic₁₃	—	2	2	no	—
385	Dic₁₃	—	2	2	no	—
386	Dic₁₃	—	2	1	no	—
387	Dic₁₃	—	2	2	no	—
388	Dic₁₃	—	2	1	no	—
389	C₂×#41	—	13	1	no	—
390	C₂²×D₄	—	13	2	no	—
391	C₂²×D₄	—	13	2	no	—
392	C₂²×D₄	—	13	2	no	—
393	C₂²×D₄	—	13	1	no	—
394	C₂²×D₄	—	13	2	no	—
395	C₂²×D₄	—	13	2	no	—
396	C₂²×D₄	—	13	1	no	—
397	C₂²×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
398	C₂²×D₄	C₂×D₁₃	1	2	yes	complemented
399	C₂²×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
400	C₂³×C₄	—	13	1	no	—
401	#127	—	13	2	no	—
402	#127	—	13	2	no	—
403	#127	—	13	1	no	—
404	#127	C₂×D₁₃	1	1	yes	characteristic, complemented
405	#126	—	13	2	no	—
406	#126	—	13	2	no	—
407	#126	—	13	2	no	—
408	#126	—	13	2	no	—
409	#125	—	13	1	no	—
410	#125	—	13	1	no	—
411	#124	—	13	2	no	—
412	#124	—	13	2	no	—
413	#123	—	13	2	no	—
414	#123	—	13	2	no	—
415	#123	—	13	2	no	—
416	#123	—	13	2	no	—
417	#123	—	13	2	no	—
418	#123	—	13	1	no	—
419	#123	—	13	1	no	—
420	#123	—	13	2	no	—
421	#123	—	13	2	no	—
422	#123	—	13	2	no	—
423	C₂²⋊Q₈	—	13	1	no	—
424	C₂²⋊Q₈	—	13	1	no	—
425	#121	—	13	2	no	—
426	#121	—	13	2	no	—
427	#121	—	13	1	no	—
428	#121	—	13	1	no	—
429	#121	—	13	1	no	—
430	#121	—	13	1	no	—
431	#121	—	13	1	no	—
432	#121	—	13	2	no	—
433	#121	—	13	1	no	—
434	#121	—	13	2	no	—
435	#121	—	13	2	no	—
436	#121	—	13	2	no	—
437	#121	—	13	1	no	—
438	#121	—	13	1	no	—
439	#121	—	13	2	no	—
440	#121	—	13	2	no	—
441	#121	—	13	2	no	—
442	#121	—	13	2	no	—
443	#121	—	13	2	no	—
444	#121	—	13	1	no	—
445	#121	—	13	1	no	—
446	#121	—	13	2	no	—
447	#121	—	13	1	no	—
448	#121	—	13	2	no	—
449	#121	—	13	1	no	—
450	#121	—	13	2	no	—
451	#121	—	13	2	no	—
452	#121	C₂×D₁₃	1	1	yes	characteristic, complemented
453	#121	C₂×D₁₃	1	1	yes	characteristic, complemented
454	#121	C₂×D₁₃	1	2	yes	complemented
455	#120	—	13	2	no	—
456	#120	—	13	2	no	—
457	#120	—	13	2	no	—
458	#120	—	13	2	no	—
459	#120	—	13	1	no	—
460	#120	—	13	2	no	—
461	#120	—	13	2	no	—
462	#120	—	13	2	no	—
463	#120	—	13	2	no	—
464	#120	—	13	2	no	—
465	#120	—	13	1	no	—
466	#120	—	13	2	no	—
467	#120	C₂×D₁₃	1	2	yes	complemented
468	#120	C₂×D₁₃	1	2	yes	complemented
469	C₄×D₄	—	13	2	no	—
470	C₄×D₄	—	13	1	no	—
471	C₄×D₄	—	13	1	no	—
472	C₄×D₄	—	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	2	no	—
477	C₄×D₄	—	13	1	no	—
478	C₄×D₄	—	13	1	no	—
479	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
480	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
481	#117	—	13	1	no	—
482	#117	—	13	1	no	—
483	#117	—	13	1	no	—
484	C₂×C₄⋊C₄	—	13	1	no	—
485	C₂×C₄⋊C₄	—	13	1	no	—
486	C₂×C₂²⋊C₄	—	13	2	no	—
487	C₂×C₂²⋊C₄	—	13	2	no	—
488	C₂×C₁₃	—	2	2	no	—
489	C₂×C₁₃	—	4	2	no	—
490	C₂×C₁₃	—	4	2	no	—
491	C₂×C₁₃	—	4	1	no	—
492	C₂×C₁₃	—	4	2	no	—
493	C₂×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
494	C₂×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
495	C₂×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
496	D₁₃	—	2	2	no	—
497	D₁₃	—	4	1	no	—
498	D₁₃	—	4	1	no	—
499	D₁₃	—	4	2	no	—
500	C₂⁴	—	13	1	no	—
501	C₂⁴	—	13	2	no	—
502	C₂⁴	—	13	2	no	—
503	C₂⁴	C₂²×D₁₃	1	2	yes	—
504	C₂⁴	C₂²×D₁₃	1	2	yes	—
505	#41	—	52	2	no	—
506	C₂×Q₈	—	13	1	no	—
507	C₂×D₄	—	4	2	no	—
508	C₂×D₄	—	4	2	no	—
509	C₂×D₄	—	4	4	no	—
510	C₂×D₄	—	13	2	no	—
511	C₂×D₄	—	13	1	no	—
512	C₂×D₄	—	13	2	no	—
513	C₂×D₄	—	13	1	no	—
514	C₂×D₄	—	13	2	no	—
515	C₂×D₄	—	13	1	no	—
516	C₂×D₄	—	13	1	no	—
517	C₂×D₄	—	13	2	no	—
518	C₂×D₄	—	13	2	no	—
519	C₂×D₄	—	13	2	no	—
520	C₂×D₄	—	13	2	no	—
521	C₂×D₄	—	13	2	no	—
522	C₂×D₄	—	13	2	no	—
523	C₂×D₄	—	13	2	no	—
524	C₂×D₄	—	13	2	no	—
525	C₂×D₄	—	13	2	no	—
526	C₂×D₄	—	13	2	no	—
527	C₂×D₄	—	13	1	no	—
528	C₂×D₄	—	13	1	no	—
529	C₂×D₄	—	13	1	no	—
530	C₂×D₄	—	13	2	no	—
531	C₂×D₄	—	52	2	no	—
532	C₂×D₄	—	52	2	no	—
533	C₂×D₄	—	52	4	no	—
534	C₂×D₄	—	52	4	no	—
535	C₂×D₄	—	52	4	no	—
536	C₂×D₄	—	52	4	no	—
537	C₂×D₄	—	52	4	no	—
538	C₂×D₄	C₂²×D₁₃	1	2	yes	—
539	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
540	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
541	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
542	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
543	C₂×D₄	C₂²×D₁₃	1	2	yes	—
544	C₂×D₄	C₂²×D₁₃	1	2	yes	—
545	C₂×D₄	C₂²×D₁₃	1	2	yes	—
546	C₂×D₄	C₂²×D₁₃	1	2	yes	—
547	C₂×D₄	C₂²×D₁₃	1	2	yes	—
548	C₂²×C₄	—	13	1	no	—
549	C₂²×C₄	—	13	2	no	—
550	C₂²×C₄	—	13	2	no	—
551	C₂²×C₄	—	13	2	no	—
552	C₂²×C₄	—	13	1	no	—
553	C₂²×C₄	—	13	1	no	—
554	C₂²×C₄	—	13	1	no	—
555	C₂²×C₄	—	13	1	no	—
556	C₂²×C₄	—	13	2	no	—
557	C₂²×C₄	—	13	2	no	—
558	C₂²×C₄	—	13	1	no	—
559	C₂²×C₄	—	52	2	no	—
560	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
561	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
562	C₂²×C₄	C₂²×D₁₃	1	2	yes	—
563	C₄⋊C₄	—	13	1	no	—
564	C₄⋊C₄	—	13	1	no	—
565	C₄⋊C₄	—	13	1	no	—
566	C₄⋊C₄	—	13	2	no	—
567	C₄⋊C₄	—	13	2	no	—
568	C₄⋊C₄	—	13	1	no	—
569	C₄⋊C₄	—	13	1	no	—
570	C₄⋊C₄	—	13	1	no	—
571	C₄⋊C₄	—	13	1	no	—
572	C₄⋊C₄	—	13	1	no	—
573	C₄⋊C₄	—	13	2	no	—
574	C₄⋊C₄	—	13	2	no	—
575	C₄⋊C₄	—	13	2	no	—
576	C₄⋊C₄	—	13	2	no	—
577	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
578	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
579	C₂²⋊C₄	—	13	2	no	—
580	C₂²⋊C₄	—	13	2	no	—
581	C₂²⋊C₄	—	13	2	no	—
582	C₂²⋊C₄	—	13	2	no	—
583	C₂²⋊C₄	—	13	2	no	—
584	C₂²⋊C₄	—	13	2	no	—
585	C₂²⋊C₄	—	13	1	no	—
586	C₂²⋊C₄	—	13	2	no	—
587	C₂²⋊C₄	—	13	2	no	—
588	C₂²⋊C₄	—	13	2	no	—
589	C₂²⋊C₄	—	13	2	no	—
590	C₂²⋊C₄	—	13	1	no	—
591	C₂²⋊C₄	—	13	2	no	—
592	C₂²⋊C₄	—	13	2	no	—
593	C₂²⋊C₄	—	13	2	no	—
594	C₂²⋊C₄	—	13	1	no	—
595	C₂²⋊C₄	—	13	1	no	—
596	C₂²⋊C₄	—	13	1	no	—
597	C₂²⋊C₄	—	13	1	no	—
598	C₂²⋊C₄	—	13	2	no	—
599	C₂²⋊C₄	—	13	2	no	—
600	C₂²⋊C₄	—	13	1	no	—
601	C₂²⋊C₄	—	13	1	no	—
602	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
603	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
604	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
605	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
606	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
607	C₄²	—	13	1	no	—
608	C₄²	—	13	2	no	—
609	C₄²	—	13	2	no	—
610	C₄²	C₂²×D₁₃	1	1	yes	characteristic
611	C₁₃	#3537	1	1	yes	characteristic, complemented, Sylow
612	C₂³	—	2	4	no	—
613	C₂³	—	4	2	no	—
614	C₂³	—	4	2	no	—
615	C₂³	—	4	2	no	—
616	C₂³	—	4	2	no	—
617	C₂³	—	4	2	no	—
618	C₂³	—	13	1	no	—
619	C₂³	—	13	1	no	—
620	C₂³	—	13	2	no	—
621	C₂³	—	13	1	no	—
622	C₂³	—	26	2	no	—
623	C₂³	—	26	4	no	—
624	C₂³	—	26	2	no	—
625	C₂³	—	52	1	no	—
626	C₂³	—	52	2	no	—
627	C₂³	—	52	2	no	—
628	C₂³	—	52	2	no	—
629	C₂³	—	52	2	no	—
630	C₂³	—	52	2	no	—
631	C₂³	C₂³×D₁₃	1	2	yes	—
632	C₂³	C₂³×D₁₃	1	2	yes	—
633	C₂³	C₂³×D₁₃	1	1	yes	characteristic
634	C₂³	C₂³×D₁₃	1	2	yes	—
635	C₂³	C₂³×D₁₃	1	1	yes	characteristic
636	Q₈	—	52	1	no	—
637	D₄	—	2	2	no	—
638	D₄	—	2	4	no	—
639	D₄	—	2	2	no	—
640	D₄	—	2	2	no	—
641	D₄	—	2	2	no	—
642	D₄	—	4	2	no	—
643	D₄	—	4	2	no	—
644	D₄	—	4	2	no	—
645	D₄	—	4	2	no	—
646	D₄	—	4	2	no	—
647	D₄	—	26	2	no	—
648	D₄	—	26	4	no	—
649	D₄	—	26	2	no	—
650	D₄	—	26	4	no	—
651	D₄	—	26	4	no	—
652	D₄	—	26	2	no	—
653	D₄	—	26	2	no	—
654	D₄	—	52	2	no	—
655	D₄	—	52	1	no	—
656	D₄	—	52	2	no	—
657	D₄	—	52	2	no	—
658	D₄	—	52	2	no	—
659	D₄	—	52	2	no	—
660	D₄	—	52	2	no	—
661	D₄	—	52	2	no	—
662	D₄	—	52	2	no	—
663	D₄	—	52	2	no	—
664	D₄	—	52	2	no	—
665	D₄	—	52	2	no	—
666	D₄	—	52	1	no	—
667	D₄	—	52	1	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	2	no	—
670	C₂×C₄	—	4	2	no	—
671	C₂×C₄	—	13	1	no	—
672	C₂×C₄	—	13	1	no	—
673	C₂×C₄	—	13	2	no	—
674	C₂×C₄	—	13	1	no	—
675	C₂×C₄	—	13	2	no	—
676	C₂×C₄	—	13	2	no	—
677	C₂×C₄	—	13	1	no	—
678	C₂×C₄	—	13	1	no	—
679	C₂×C₄	—	26	2	no	—
680	C₂×C₄	—	26	2	no	—
681	C₂×C₄	—	26	2	no	—
682	C₂×C₄	—	52	1	no	—
683	C₂×C₄	—	52	1	no	—
684	C₂×C₄	—	52	2	no	—
685	C₂×C₄	—	52	2	no	—
686	C₂×C₄	—	52	1	no	—
687	C₂×C₄	—	52	2	no	—
688	C₂×C₄	—	52	2	no	—
689	C₂×C₄	—	52	2	no	—
690	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
691	C₂×C₄	C₂³×D₁₃	1	2	yes	—
692	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
693	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
694	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
695	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
696	C₂²	—	2	1	no	—
697	C₂²	—	2	1	no	—
698	C₂²	—	2	1	no	—
699	C₂²	—	2	2	no	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	1	no	—
702	C₂²	—	2	2	no	—
703	C₂²	—	2	2	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	2	2	no	—
706	C₂²	—	2	2	no	—
707	C₂²	—	2	2	no	—
708	C₂²	—	2	1	no	—
709	C₂²	—	2	2	no	—
710	C₂²	—	8	4	no	—
711	C₂²	—	8	4	no	—
712	C₂²	—	13	2	no	—
713	C₂²	—	26	1	no	—
714	C₂²	—	26	1	no	—
715	C₂²	—	26	1	no	—
716	C₂²	—	26	1	no	—
717	C₂²	—	26	2	no	—
718	C₂²	—	26	1	no	—
719	C₂²	—	26	2	no	—
720	C₂²	—	26	1	no	—
721	C₂²	—	26	2	no	—
722	C₂²	—	26	1	no	—
723	C₂²	—	26	1	no	—
724	C₂²	—	52	4	no	—
725	C₂²	—	104	4	no	—
726	C₂²	—	104	4	no	—
727	C₂²	#88251	1	2	yes	—
728	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
729	C₄	—	2	1	no	—
730	C₄	—	2	1	no	—
731	C₄	—	2	1	no	—
732	C₄	—	2	2	no	—
733	C₄	—	2	1	no	—
734	C₄	—	26	1	no	—
735	C₄	—	26	1	no	—
736	C₄	—	26	1	no	—
737	C₄	—	26	2	no	—
738	C₄	—	26	1	no	—
739	C₄	—	26	2	no	—
740	C₄	—	26	1	no	—
741	C₄	—	26	2	no	—
742	C₄	#88251	1	2	yes	—
743	C₂	—	2	2	no	—
744	C₂	—	4	1	no	—
745	C₂	—	4	2	no	—
746	C₂	—	4	2	no	—
747	C₂	—	4	2	no	—
748	C₂	—	26	2	no	—
749	C₂	—	52	1	no	—
750	C₂	—	52	1	no	—
751	C₂	—	52	2	no	—
752	C₂	C₂×#88251	1	1	yes	characteristic
753	C₂	C₂×#88251	1	1	yes	characteristic
754	C₂	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁵
Fitting	D₄²×C₁₃	C₂
hypercenter	D₄²	D₁₃
hypocenter	C₁₃	#3537
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ D₄²

Complements

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

N	H ≅ G/N	type
1. D₄²×C₁₃	C₂	semidirect
2. #11719510	C₂	semidirect
3. #11719509	C₂	semidirect
4. D₄×C₂²⋊D₁₃	C₂	semidirect
5. D₄×C₂²⋊D₁₃	C₂	semidirect
6. D₄×C₂²⋊D₁₃	C₂	semidirect
7. C₂×#88192	C₂	semidirect
8. #11719424	C₂	semidirect
9. #11719422	C₂	semidirect
10. #11719325	C₂	semidirect
11. #11719323	C₂	semidirect
12. #11719319	C₂	semidirect
13. #11719318	C₂	semidirect
14. #11719312	C₂	semidirect
15. D₁₃×#121	C₂	semidirect
16. #11719300	C₂	semidirect
17. #11719298	C₂	semidirect
18. #11719295	C₂	semidirect
19. #11719294	C₂	semidirect
20. #11719270	C₂	semidirect
21. #11719267	C₂	semidirect
22. #11719263	C₂	semidirect
23. #11719252	C₂	semidirect
24. C₂²×D₄×C₁₃	C₂²	semidirect
25. C₂²×D₄×C₁₃	C₂²	semidirect
26. C₂²×D₄×C₁₃	C₂²	semidirect
27. C₂²×C₂²⋊D₁₃	C₂²	semidirect
28. C₂²×C₂²⋊D₁₃	C₂²	semidirect
29. C₂²×C₂²⋊D₁₃	C₂²	semidirect
30. C₂×D₄×D₁₃	C₂²	semidirect
31. C₂×D₄×D₁₃	C₂²	semidirect
32. C₂×D₄×D₁₃	C₂²	semidirect
33. C₂×D₄×D₁₃	C₂²	semidirect
34. C₂×#6127	C₂²	semidirect
35. C₂²×C₄×D₁₃	C₂²	semidirect
36. C₁₃×#127	C₂²	semidirect
37. C₁₃×#121	C₂²	semidirect
38. C₁₃×#121	C₂²	semidirect
39. C₁₃×#121	C₂²	semidirect
40. C₁₃×#120	C₂²	semidirect
41. C₁₃×#120	C₂²	semidirect
42. C₄×D₄×C₁₃	C₂²	semidirect
43. C₄×D₄×C₁₃	C₂²	semidirect
44. #88207	C₂²	semidirect
45. #88207	C₂²	semidirect
46. #88207	C₂²	semidirect
47. #88207	C₂²	semidirect
48. C₂×C₂²⋊Dic₁₃	C₂²	semidirect
49. #88194	C₂²	semidirect
50. #88194	C₂²	semidirect
51. #88194	C₂²	semidirect
52. #88193	C₂²	semidirect
53. #88193	C₂²	semidirect
54. #88193	C₂²	semidirect
55. #88193	C₂²	semidirect
56. #88193	C₂²	semidirect
57. #88193	C₂²	semidirect
58. #88193	C₂²	semidirect
59. #88193	C₂²	semidirect
60. #88192	C₂²	semidirect
61. #88192	C₂²	semidirect
62. #88192	C₂²	semidirect
63. #88192	C₂²	semidirect
64. #88192	C₂²	semidirect
65. #88192	C₂²	semidirect
66. #88192	C₂²	semidirect
67. #88192	C₂²	semidirect
68. #88192	C₂²	semidirect
69. #88192	C₂²	semidirect
70. #88192	C₂²	semidirect
71. #88191	C₂²	semidirect
72. #88191	C₂²	semidirect
73. #88191	C₂²	semidirect
74. #88191	C₂²	semidirect
75. #88191	C₂²	semidirect
76. #88191	C₂²	semidirect
77. #88190	C₂²	semidirect
78. #88189	C₂²	semidirect
79. #88189	C₂²	semidirect
80. #88189	C₂²	semidirect
81. D₄×Dic₁₃	C₂²	semidirect
82. D₄×Dic₁₃	C₂²	semidirect
83. D₄×Dic₁₃	C₂²	semidirect
84. #88184	C₂²	semidirect
85. #88184	C₂²	semidirect
86. #88184	C₂²	semidirect
87. #88183	C₂²	semidirect
88. #88183	C₂²	semidirect
89. C₄×C₂²⋊D₁₃	C₂²	semidirect
90. C₄×C₂²⋊D₁₃	C₂²	semidirect
91. C₄×C₂²⋊D₁₃	C₂²	semidirect
92. #88180	C₂²	semidirect
93. C₂×C₄⋊Dic₁₃	C₂²	semidirect
94. #88152	C₂²	semidirect
95. #88150	C₂²	semidirect
96. #88149	C₂²	semidirect
97. #88148	C₂²	semidirect
98. #88146	C₂²	semidirect
99. C₄⋊C₄×D₁₃	C₂²	semidirect
100. #88144	C₂²	semidirect
101. #88140	C₂²	semidirect
102. #88139	C₂²	semidirect
103. #88138	C₂²	semidirect
104. #88138	C₂²	semidirect
105. #88138	C₂²	semidirect
106. #88138	C₂²	semidirect
107. #88137	C₂²	semidirect
108. #88137	C₂²	semidirect
109. #88137	C₂²	semidirect
110. #88136	C₂²	semidirect
111. #88136	C₂²	semidirect
112. #88135	C₂²	semidirect
113. #88135	C₂²	semidirect
114. C₂²⋊C₄×D₁₃	C₂²	semidirect
115. #88133	C₂²	semidirect
116. #88133	C₂²	semidirect
117. #88133	C₂²	semidirect
118. #88132	C₂²	semidirect
119. C₄×D₅₂	C₂²	semidirect
120. C₄×D₅₂	C₂²	semidirect
121. #88126	C₂²	semidirect
122. #88124	C₂²	semidirect
330. D₄²	D₁₃	semidirect
397. C₂²×D₄	C₂×D₁₃	semidirect
398. C₂²×D₄	C₂×D₁₃	semidirect
399. C₂²×D₄	C₂×D₁₃	semidirect
404. #127	C₂×D₁₃	semidirect
452. #121	C₂×D₁₃	semidirect
453. #121	C₂×D₁₃	semidirect
454. #121	C₂×D₁₃	semidirect
467. #120	C₂×D₁₃	semidirect
468. #120	C₂×D₁₃	semidirect
479. C₄×D₄	C₂×D₁₃	semidirect
480. C₄×D₄	C₂×D₁₃	semidirect
611. C₁₃	#3537	semidirect

Maximal subgroups

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

subgroup	index
D₄²×C₁₃	2
#11719510	2
#11719509	2
D₄×C₂²⋊D₁₃	2
C₂×#88192	2
#11719424	2
#11719422	2
#11719325	2
#11719323	2
#11719319	2
#11719318	2
#11719312	2
D₁₃×#121	2
#11719300	2
#11719298	2
#11719295	2
#11719294	2
#11719270	2
#11719267	2
#11719263	2
#11719252	2
#3537	13