Subgroups — #13128596

Order 1664.

1660 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#88256	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	#11719529	C₂	1	1	yes	maximal, characteristic, complemented
5	D₄×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
6	#11719381	C₂	1	1	yes	maximal, characteristic, complemented
7	#11719373	C₂	1	1	yes	maximal, characteristic, complemented
8	#11719360	C₂	1	2	yes	maximal, complemented
9	#11719358	C₂	1	2	yes	maximal, complemented
10	#11719336	C₂	1	1	yes	maximal, characteristic, complemented
11	#11719334	C₂	1	1	yes	maximal, characteristic, complemented
12	#11719315	C₂	1	2	yes	maximal, complemented
13	#11719314	C₂	1	1	yes	maximal, characteristic, complemented
14	#11719313	C₂	1	1	yes	maximal, characteristic, complemented
15	D₁₃×#121	C₂	1	2	yes	maximal, complemented
16	#11719295	C₂	1	2	yes	maximal, complemented
17	#11719294	C₂	1	2	yes	maximal, complemented
18	#11719259	C₂	1	1	yes	maximal, characteristic, complemented
19	#11719255	C₂	1	1	yes	maximal, characteristic, complemented
20	#11719253	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#11719195	C₂	1	2	yes	maximal, complemented
23	C₂×#88138	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, complemented
26	C₂²×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
27	C₂²×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
28	C₂²×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
29	#88256	—	2	8	no	—
30	C₂×#6131	C₂²	1	1	yes	characteristic, complemented
31	C₂×#6131	C₂²	1	1	yes	characteristic, complemented
32	#88251	—	2	8	no	—
33	C₂×#6129	C₂²	1	1	yes	characteristic, complemented
34	C₂×#6129	C₂²	1	1	yes	characteristic, complemented
35	C₂×#6129	C₂²	1	2	yes	complemented
36	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×D₁₃	C₂²	1	2	yes	complemented
39	C₂×D₄×D₁₃	C₂²	1	2	yes	complemented
40	C₂×D₄×D₁₃	C₂²	1	2	yes	complemented
41	C₂×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₁₃	C₂²	1	2	yes	complemented
43	C₂×#6127	C₂²	1	2	yes	complemented
44	C₂×#6127	C₂²	1	1	yes	characteristic, complemented
45	C₂×#6127	C₂²	1	1	yes	characteristic, complemented
46	C₂×#6127	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₅₂	C₂²	1	2	yes	complemented
48	C₂²×D₅₂	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₄×D₁₃	C₂²	1	2	yes	complemented
50	C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#123	C₂²	1	2	yes	complemented
52	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#121	C₂²	1	2	yes	complemented
54	C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#120	C₂²	1	2	yes	complemented
56	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
57	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
59	#88207	C₂²	1	2	yes	complemented
60	#88200	C₂²	1	1	yes	characteristic, complemented
61	#88198	C₂²	1	1	yes	characteristic, complemented
62	#88194	C₂²	1	1	yes	characteristic, complemented
63	#88194	C₂²	1	1	yes	characteristic, complemented
64	#88193	C₂²	1	2	yes	complemented
65	#88193	C₂²	1	2	yes	complemented
66	#88193	C₂²	1	2	yes	complemented
67	#88192	C₂²	1	1	yes	characteristic, complemented
68	#88192	C₂²	1	1	yes	characteristic, complemented
69	#88192	C₂²	1	2	yes	complemented
70	#88191	C₂²	1	2	yes	complemented
71	#88191	C₂²	1	2	yes	complemented
72	#88191	C₂²	1	2	yes	complemented
73	#88189	C₂²	1	2	yes	complemented
74	D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
75	#88184	C₂²	1	2	yes	complemented
76	#88184	C₂²	1	1	yes	characteristic, complemented
77	#88183	C₂²	1	2	yes	complemented
78	C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
79	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
80	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
81	C₂×#6103	C₂²	1	2	yes	complemented
82	#88178	C₂²	1	1	yes	characteristic, complemented
83	C₂×#6101	C₂²	1	2	yes	complemented
84	#88151	C₂²	1	1	yes	characteristic, complemented
85	#88150	C₂²	1	2	yes	complemented
86	#88149	C₂²	1	1	yes	characteristic, complemented
87	#88149	C₂²	1	1	yes	characteristic, complemented
88	#88149	C₂²	1	2	yes	complemented
89	#88148	C₂²	1	2	yes	complemented
90	#88148	C₂²	1	2	yes	complemented
91	#88147	C₂²	1	1	yes	characteristic, complemented
92	C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
93	C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
94	#88142	C₂²	1	1	yes	characteristic, complemented
95	#88140	C₂²	1	2	yes	complemented
96	#88139	C₂²	1	1	yes	characteristic, complemented
97	#88139	C₂²	1	1	yes	characteristic, complemented
98	#88138	C₂²	1	1	yes	characteristic, complemented
99	#88138	C₂²	1	2	yes	complemented
100	#88138	C₂²	1	2	yes	complemented
101	#88138	C₂²	1	2	yes	complemented
102	#88138	C₂²	1	2	yes	complemented
103	#88138	C₂²	1	2	yes	complemented
104	#88138	C₂²	1	2	yes	complemented
105	#88138	C₂²	1	2	yes	complemented
106	#88138	C₂²	1	2	yes	complemented
107	#88138	C₂²	1	1	yes	characteristic, complemented
108	#88138	C₂²	1	2	yes	complemented
109	#88137	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	#88136	C₂²	1	2	yes	complemented
114	#88135	C₂²	1	2	yes	complemented
115	#88135	C₂²	1	2	yes	complemented
116	#88135	C₂²	1	2	yes	complemented
117	C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
118	C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
119	C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
120	#88132	C₂²	1	2	yes	complemented
121	#88129	C₂²	1	1	yes	characteristic, complemented
122	C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
123	C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
124	C₄²×D₁₃	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	C₂³×D₁₃	C₂³	1	2	yes	—
129	C₂³×D₁₃	C₂³	1	2	yes	—
130	C₁₃×#41	—	2	4	no	—
131	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic
132	C₂×D₄×C₁₃	—	2	4	no	—
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	C₂×D₄×C₁₃	C₂³	1	2	yes	—
138	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×C₄×C₁₃	C₂³	1	2	yes	—
140	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×C₄×C₁₃	C₂³	1	2	yes	—
143	C₂×C₂²⋊D₁₃	—	2	8	no	—
144	C₂×C₂²⋊D₁₃	—	2	8	no	—
145	C₂×C₂²⋊D₁₃	—	4	4	no	—
146	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
147	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
148	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
149	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
150	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
151	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
152	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
153	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
154	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
155	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
156	C₂×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
157	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
160	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
161	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
162	C₂²×Dic₁₃	C₂³	1	2	yes	—
163	C₂²×Dic₁₃	C₂³	1	2	yes	—
164	C₂²×Dic₁₃	C₂³	1	2	yes	—
165	#6131	—	2	4	no	—
166	#6131	—	2	4	no	—
167	#6129	—	2	4	no	—
168	#6129	—	2	8	no	—
169	#6129	—	2	4	no	—
170	D₄×D₁₃	—	2	8	no	—
171	D₄×D₁₃	—	2	8	no	—
172	D₄×D₁₃	—	2	4	no	—
173	D₄×D₁₃	—	2	8	no	—
174	D₄×D₁₃	—	2	4	no	—
175	D₄×D₁₃	—	4	4	no	—
176	D₄×D₁₃	D₄	1	8	yes	complemented
177	#6127	—	2	8	no	—
178	#6127	—	2	4	no	—
179	#6127	—	2	4	no	—
180	#6127	—	2	4	no	—
181	C₂×D₅₂	—	2	8	no	—
182	C₂×D₅₂	—	2	4	no	—
183	C₂×D₅₂	C₂³	1	1	yes	characteristic
184	C₂×D₅₂	C₂³	1	2	yes	—
185	C₂×D₅₂	C₂³	1	2	yes	—
186	C₂×D₅₂	C₂³	1	1	yes	characteristic
187	C₂×D₅₂	C₂³	1	2	yes	—
188	C₂×D₅₂	C₂³	1	1	yes	characteristic
189	C₂×D₅₂	C₂³	1	1	yes	characteristic
190	C₂×D₅₂	C₂³	1	2	yes	—
191	C₂×D₅₂	C₂³	1	1	yes	characteristic
192	C₂×C₄×D₁₃	—	4	4	no	—
193	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂×C₄×D₁₃	C₂³	1	2	yes	—
197	C₂×C₄×D₁₃	C₂³	1	2	yes	—
198	C₂×C₄×D₁₃	C₂³	1	2	yes	—
199	C₂×C₄×D₁₃	C₂³	1	2	yes	—
200	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂×C₄×D₁₃	C₂³	1	2	yes	—
202	C₂×C₄×D₁₃	C₂³	1	2	yes	—
203	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
205	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
206	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
207	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
210	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
219	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
220	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
221	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
222	C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	#6103	C₂³	1	1	yes	characteristic
224	#6103	C₂³	1	2	yes	—
225	#6103	C₂³	1	1	yes	characteristic
226	#6103	C₂³	1	2	yes	—
227	#6103	C₂³	1	2	yes	—
228	#6103	C₂³	1	2	yes	—
229	#6103	C₂³	1	2	yes	—
230	#6103	C₂³	1	2	yes	—
231	#6103	C₂³	1	1	yes	characteristic
232	#6103	C₂³	1	2	yes	—
233	#6103	C₂³	1	2	yes	—
234	#6103	C₂³	1	1	yes	characteristic
235	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₄⋊Dic₁₃	C₂³	1	2	yes	—
238	#6101	C₂³	1	2	yes	—
239	#6101	C₂³	1	2	yes	—
240	#6101	C₂³	1	2	yes	—
241	#6101	C₂³	1	2	yes	—
242	#6101	C₂³	1	2	yes	—
243	#6101	C₂³	1	1	yes	characteristic
244	#6101	C₂³	1	1	yes	characteristic
245	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
246	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
247	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
248	#3496	—	13	1	no	maximal, Sylow
249	C₂³×C₁₃	—	2	4	no	—
250	C₂³×C₁₃	—	4	2	no	—
251	C₂³×C₁₃	—	4	2	no	—
252	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
253	C₂³×C₁₃	C₂⁴	1	2	yes	—
254	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
255	C₂³×C₁₃	C₂⁴	1	2	yes	—
256	C₂²×D₁₃	—	2	4	no	—
257	C₂²×D₁₃	—	2	4	no	—
258	C₂²×D₁₃	—	2	4	no	—
259	C₂²×D₁₃	—	4	2	no	—
260	C₂²×D₁₃	—	4	2	no	—
261	C₂²×D₁₃	—	4	2	no	—
262	C₂²×D₁₃	—	4	2	no	—
263	C₂²×D₁₃	—	4	2	no	—
264	C₂²×D₁₃	—	4	2	no	—
265	C₂²×D₁₃	—	4	2	no	—
266	C₂²×D₁₃	—	4	2	no	—
267	C₂²×D₁₃	C₂×D₄	1	8	yes	complemented
268	C₂²×D₁₃	C₂⁴	1	2	yes	—
269	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
270	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
271	C₂²×D₁₃	C₂⁴	1	2	yes	—
272	C₂²×D₁₃	C₂⁴	1	1	yes	characteristic
273	Q₈×C₁₃	—	2	2	no	—
274	D₄×C₁₃	—	2	4	no	—
275	D₄×C₁₃	—	2	4	no	—
276	D₄×C₁₃	—	2	2	no	—
277	D₄×C₁₃	—	4	2	no	—
278	D₄×C₁₃	—	4	1	no	—
279	D₄×C₁₃	C₂×D₄	1	4	yes	complemented
280	C₂×C₄×C₁₃	—	2	4	no	—
281	C₂×C₄×C₁₃	—	2	2	no	—
282	C₂×C₄×C₁₃	—	2	2	no	—
283	C₂×C₄×C₁₃	—	4	2	no	—
284	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
285	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
286	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
287	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
288	C₂×C₄×C₁₃	C₂⁴	1	2	yes	—
289	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
290	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
291	C₂²⋊D₁₃	—	2	4	no	—
292	C₂²⋊D₁₃	—	2	4	no	—
293	C₂²⋊D₁₃	—	2	2	no	—
294	C₂²⋊D₁₃	—	2	4	no	—
295	C₂²⋊D₁₃	—	2	2	no	—
296	C₂²⋊D₁₃	—	2	4	no	—
297	C₂²⋊D₁₃	—	2	4	no	—
298	C₂²⋊D₁₃	—	2	2	no	—
299	C₂²⋊D₁₃	—	2	2	no	—
300	C₂²⋊D₁₃	—	2	2	no	—
301	C₂²⋊D₁₃	—	2	4	no	—
302	C₂²⋊D₁₃	—	2	2	no	—
303	C₂²⋊D₁₃	—	4	2	no	—
304	C₂²⋊D₁₃	—	4	2	no	—
305	C₂²⋊D₁₃	—	4	2	no	—
306	C₂²⋊D₁₃	C₂×D₄	1	8	yes	complemented
307	C₂×Dic₁₃	—	2	4	no	—
308	C₂×Dic₁₃	—	2	4	no	—
309	C₂×Dic₁₃	—	2	4	no	—
310	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
311	C₂×Dic₁₃	C₂⁴	1	2	yes	—
312	C₂×Dic₁₃	C₂⁴	1	2	yes	—
313	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
314	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
315	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
316	C₂×Dic₁₃	C₂⁴	1	1	yes	characteristic
317	D₅₂	—	2	4	no	—
318	D₅₂	—	2	2	no	—
319	D₅₂	—	2	4	no	—
320	D₅₂	—	2	4	no	—
321	D₅₂	—	2	2	no	—
322	D₅₂	—	2	2	no	—
323	D₅₂	—	4	1	no	—
324	D₅₂	—	4	2	no	—
325	D₅₂	C₂×D₄	1	4	yes	complemented
326	C₄×D₁₃	—	2	4	no	—
327	C₄×D₁₃	—	2	4	no	—
328	C₄×D₁₃	—	2	2	no	—
329	C₄×D₁₃	—	2	2	no	—
330	C₄×D₁₃	—	2	4	no	—
331	C₄×D₁₃	—	2	2	no	—
332	C₄×D₁₃	—	2	4	no	—
333	C₄×D₁₃	—	4	2	no	—
334	C₄×D₁₃	—	4	2	no	—
335	C₄×D₁₃	—	4	1	no	—
336	C₄×D₁₃	C₂×D₄	1	4	yes	complemented
337	Dic₂₆	—	2	2	no	—
338	Dic₂₆	—	2	2	no	—
339	Dic₂₆	—	2	2	no	—
340	C₂×H(5,𝔽₂)	—	13	1	no	—
341	C₂×H(5,𝔽₂)	—	13	1	no	—
342	#547	—	13	1	no	—
343	#547	—	13	2	no	—
344	#547	—	13	1	no	—
345	#546	—	13	1	no	—
346	#546	—	13	2	no	—
347	#546	—	13	1	no	—
348	#546	—	13	1	no	—
349	#546	—	13	2	no	—
350	#546	D₁₃	1	1	yes	characteristic, complemented
351	D₄²	—	13	1	no	—
352	D₄²	—	13	1	no	—
353	D₄²	—	13	2	no	—
354	#537	—	13	1	no	—
355	#537	—	13	1	no	—
356	#534	—	13	2	no	—
357	#534	—	13	2	no	—
358	#532	—	13	1	no	—
359	#532	—	13	1	no	—
360	C₂×#121	—	13	2	no	—
361	C₂×#121	—	13	2	no	—
362	C₂×C₄×D₄	—	13	1	no	—
363	C₂²×C₁₃	—	2	2	no	—
364	C₂²×C₁₃	—	2	2	no	—
365	C₂²×C₁₃	—	2	2	no	—
366	C₂²×C₁₃	—	2	1	no	—
367	C₂²×C₁₃	—	2	1	no	—
368	C₂²×C₁₃	—	2	1	no	—
369	C₂²×C₁₃	—	2	2	no	—
370	C₂²×C₁₃	—	2	1	no	—
371	C₂²×C₁₃	—	2	2	no	—
372	C₂²×C₁₃	—	2	1	no	—
373	C₂²×C₁₃	—	2	1	no	—
374	C₂²×C₁₃	—	8	4	no	—
375	C₂²×C₁₃	C₂²×D₄	1	4	yes	—
376	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
377	C₂×D₁₃	—	2	1	no	—
378	C₂×D₁₃	—	2	2	no	—
379	C₂×D₁₃	—	2	1	no	—
380	C₂×D₁₃	—	2	2	no	—
381	C₂×D₁₃	—	2	1	no	—
382	C₂×D₁₃	—	2	2	no	—
383	C₂×D₁₃	—	2	1	no	—
384	C₂×D₁₃	—	2	1	no	—
385	C₂×D₁₃	—	2	2	no	—
386	C₂×D₁₃	—	2	1	no	—
387	C₂×D₁₃	—	2	1	no	—
388	C₂×D₁₃	—	2	1	no	—
389	C₂×D₁₃	—	2	2	no	—
390	C₂×D₁₃	—	4	8	no	—
391	C₂×D₁₃	—	8	4	no	—
392	C₂×D₁₃	—	8	4	no	—
393	C₂×D₁₃	—	8	4	no	—
394	C₂×D₁₃	C₂²×D₄	1	4	yes	—
395	C₂×D₁₃	C₂²×D₄	1	2	yes	—
396	C₄×C₁₃	—	2	1	no	—
397	C₄×C₁₃	—	2	1	no	—
398	C₄×C₁₃	—	2	2	no	—
399	C₄×C₁₃	—	2	1	no	—
400	C₄×C₁₃	—	2	2	no	—
401	C₄×C₁₃	—	2	1	no	—
402	C₄×C₁₃	C₂²×D₄	1	2	yes	—
403	Dic₁₃	—	2	1	no	—
404	Dic₁₃	—	2	2	no	—
405	Dic₁₃	—	2	1	no	—
406	Dic₁₃	—	2	2	no	—
407	Dic₁₃	—	2	1	no	—
408	Dic₁₃	C₂²×D₄	1	2	yes	—
409	Dic₁₃	H(5,𝔽₂)	1	2	yes	complemented
410	H(5,𝔽₂)	—	26	8	no	—
411	H(5,𝔽₂)	—	26	8	no	—
412	C₂×#41	—	13	1	no	—
413	C₂×#41	—	13	1	no	—
414	C₂×#41	—	13	1	no	—
415	C₂×#41	—	13	1	no	—
416	C₂×#41	—	13	2	no	—
417	C₂×#41	—	13	1	no	—
418	C₂×#41	—	13	1	no	—
419	C₂×#41	—	13	1	no	—
420	C₂×#41	—	13	2	no	—
421	C₂×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
422	C₂²×D₄	—	13	1	no	—
423	C₂²×D₄	—	13	2	no	—
424	C₂²×D₄	—	13	2	no	—
425	C₂²×D₄	—	13	2	no	—
426	C₂²×D₄	—	13	2	no	—
427	C₂²×D₄	—	13	2	no	—
428	C₂²×D₄	—	13	2	no	—
429	C₂²×D₄	—	13	1	no	—
430	C₂²×D₄	—	13	1	no	—
431	C₂²×D₄	—	13	2	no	—
432	C₂²×D₄	—	13	2	no	—
433	C₂²×D₄	—	13	1	no	—
434	C₂²×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
435	C₂³×C₄	—	13	2	no	—
436	C₄⋊Q₈	—	13	1	no	—
437	C₄⋊Q₈	—	13	1	no	—
438	#127	—	13	1	no	—
439	#127	—	13	1	no	—
440	#124	—	13	1	no	—
441	#124	—	13	1	no	—
442	#124	—	13	1	no	—
443	#124	C₂×D₁₃	1	1	yes	characteristic, complemented
444	#123	—	13	2	no	—
445	#123	—	13	2	no	—
446	#123	—	13	2	no	—
447	#123	—	13	2	no	—
448	#123	—	13	2	no	—
449	#123	—	13	2	no	—
450	#123	—	13	2	no	—
451	#123	C₂×D₁₃	1	2	yes	complemented
452	C₂²⋊Q₈	—	13	1	no	—
453	C₂²⋊Q₈	—	13	1	no	—
454	C₂²⋊Q₈	—	13	2	no	—
455	C₂²⋊Q₈	—	13	1	no	—
456	C₂²⋊Q₈	—	13	2	no	—
457	C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
458	#121	—	13	2	no	—
459	#121	—	13	2	no	—
460	#121	—	13	2	no	—
461	#121	—	13	1	no	—
462	#121	—	13	1	no	—
463	#121	—	13	2	no	—
464	#121	—	13	2	no	—
465	#121	—	13	1	no	—
466	#121	—	13	2	no	—
467	#121	—	13	1	no	—
468	#121	—	13	1	no	—
469	#121	—	13	1	no	—
470	#121	—	13	2	no	—
471	#121	—	13	1	no	—
472	#121	—	13	2	no	—
473	#121	—	13	2	no	—
474	#121	—	13	2	no	—
475	#121	—	13	2	no	—
476	#121	—	13	2	no	—
477	#121	—	13	2	no	—
478	#121	—	13	2	no	—
479	#121	—	13	2	no	—
480	#121	C₂×D₁₃	1	2	yes	complemented
481	#121	C₂×D₁₃	1	1	yes	characteristic, complemented
482	#120	—	13	2	no	—
483	#120	—	13	2	no	—
484	#120	—	13	2	no	—
485	#120	—	13	2	no	—
486	#120	—	13	2	no	—
487	#120	—	13	2	no	—
488	#120	—	13	2	no	—
489	#120	C₂×D₁₃	1	2	yes	complemented
490	C₄×D₄	—	13	1	no	—
491	C₄×D₄	—	13	2	no	—
492	C₄×D₄	—	13	1	no	—
493	C₄×D₄	—	13	1	no	—
494	C₄×D₄	—	13	1	no	—
495	C₄×D₄	—	13	2	no	—
496	C₄×D₄	—	13	2	no	—
497	C₄×D₄	—	13	2	no	—
498	C₄×D₄	—	13	1	no	—
499	C₄×D₄	—	13	1	no	—
500	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
501	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
502	C₂×C₄⋊C₄	—	13	2	no	—
503	C₂×C₄⋊C₄	—	13	1	no	—
504	C₂×C₄⋊C₄	—	13	2	no	—
505	C₂×C₂²⋊C₄	—	13	2	no	—
506	C₂×C₂²⋊C₄	—	13	2	no	—
507	C₂×C₂²⋊C₄	—	13	2	no	—
508	C₂×C₂²⋊C₄	—	13	2	no	—
509	C₂×C₂²⋊C₄	C₂×D₁₃	1	2	yes	complemented
510	C₂×C₄²	—	13	1	no	—
511	C₂×C₁₃	—	2	4	no	—
512	C₂×C₁₃	—	4	1	no	—
513	C₂×C₁₃	—	4	2	no	—
514	C₂×C₁₃	—	4	1	no	—
515	C₂×C₁₃	C₂³×D₄	1	1	yes	characteristic
516	C₂×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
517	C₂×C₁₃	#585	1	1	yes	characteristic
518	D₁₃	—	2	2	no	—
519	D₁₃	—	2	4	no	—
520	D₁₃	—	4	2	no	—
521	D₁₃	—	4	1	no	—
522	D₁₃	—	4	1	no	—
523	C₂⁴	—	13	2	no	—
524	C₂⁴	—	13	2	no	—
525	C₂⁴	—	13	2	no	—
526	C₂⁴	—	13	2	no	—
527	C₂⁴	C₂²×D₁₃	1	2	yes	—
528	#41	—	2	4	no	—
529	#41	—	26	4	no	—
530	#41	—	26	4	no	—
531	#41	—	26	8	no	—
532	#41	—	26	4	no	—
533	#41	—	26	4	no	—
534	#41	—	26	4	no	—
535	#41	—	26	8	no	—
536	#41	—	26	4	no	—
537	#41	—	26	4	no	—
538	C₂×Q₈	—	13	1	no	—
539	C₂×Q₈	—	13	1	no	—
540	C₂×Q₈	—	13	1	no	—
541	C₂×Q₈	C₂²×D₁₃	1	1	yes	characteristic
542	C₂×D₄	—	2	4	no	—
543	C₂×D₄	—	13	2	no	—
544	C₂×D₄	—	13	8	no	—
545	C₂×D₄	—	13	1	no	—
546	C₂×D₄	—	13	2	no	—
547	C₂×D₄	—	13	1	no	—
548	C₂×D₄	—	13	2	no	—
549	C₂×D₄	—	13	2	no	—
550	C₂×D₄	—	13	2	no	—
551	C₂×D₄	—	13	2	no	—
552	C₂×D₄	—	13	1	no	—
553	C₂×D₄	—	13	2	no	—
554	C₂×D₄	—	13	1	no	—
555	C₂×D₄	—	13	1	no	—
556	C₂×D₄	—	13	1	no	—
557	C₂×D₄	—	13	2	no	—
558	C₂×D₄	—	13	2	no	—
559	C₂×D₄	—	13	2	no	—
560	C₂×D₄	—	13	1	no	—
561	C₂×D₄	—	13	2	no	—
562	C₂×D₄	—	13	2	no	—
563	C₂×D₄	—	13	1	no	—
564	C₂×D₄	—	13	2	no	—
565	C₂×D₄	—	13	1	no	—
566	C₂×D₄	—	13	1	no	—
567	C₂×D₄	—	13	1	no	—
568	C₂×D₄	—	13	2	no	—
569	C₂×D₄	—	26	4	no	—
570	C₂×D₄	—	26	8	no	—
571	C₂×D₄	—	26	8	no	—
572	C₂×D₄	—	26	4	no	—
573	C₂×D₄	—	26	8	no	—
574	C₂×D₄	—	26	8	no	—
575	C₂×D₄	—	26	8	no	—
576	C₂×D₄	—	26	8	no	—
577	C₂×D₄	—	26	4	no	—
578	C₂×D₄	—	52	4	no	—
579	C₂×D₄	—	52	4	no	—
580	C₂×D₄	C₂²×D₁₃	1	2	yes	—
581	C₂×D₄	C₂²×D₁₃	1	2	yes	—
582	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
583	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
584	C₂×D₄	C₂²×D₁₃	1	2	yes	—
585	C₂×D₄	C₂²×D₁₃	1	1	yes	characteristic
586	C₂²×C₄	—	13	1	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	2	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	—	52	4	no	—
601	C₂²×C₄	C₂²×D₁₃	1	2	yes	—
602	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
603	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
604	C₂²×C₄	C₂²×D₁₃	1	2	yes	—
605	C₄⋊C₄	—	13	1	no	—
606	C₄⋊C₄	—	13	2	no	—
607	C₄⋊C₄	—	13	1	no	—
608	C₄⋊C₄	—	13	2	no	—
609	C₄⋊C₄	—	13	1	no	—
610	C₄⋊C₄	—	13	2	no	—
611	C₄⋊C₄	—	13	2	no	—
612	C₄⋊C₄	—	13	2	no	—
613	C₄⋊C₄	—	13	2	no	—
614	C₄⋊C₄	—	13	1	no	—
615	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
616	C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
617	C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
618	C₂²⋊C₄	—	13	2	no	—
619	C₂²⋊C₄	—	13	2	no	—
620	C₂²⋊C₄	—	13	2	no	—
621	C₂²⋊C₄	—	13	1	no	—
622	C₂²⋊C₄	—	13	1	no	—
623	C₂²⋊C₄	—	13	1	no	—
624	C₂²⋊C₄	—	13	2	no	—
625	C₂²⋊C₄	—	13	1	no	—
626	C₂²⋊C₄	—	13	2	no	—
627	C₂²⋊C₄	—	13	2	no	—
628	C₂²⋊C₄	—	13	2	no	—
629	C₂²⋊C₄	—	13	2	no	—
630	C₂²⋊C₄	—	13	2	no	—
631	C₂²⋊C₄	—	13	2	no	—
632	C₂²⋊C₄	—	13	1	no	—
633	C₂²⋊C₄	—	13	1	no	—
634	C₂²⋊C₄	—	13	2	no	—
635	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
636	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
637	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
638	C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
639	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
640	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
641	C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
642	C₄²	—	13	1	no	—
643	C₄²	—	13	1	no	—
644	C₄²	—	13	1	no	—
645	C₄²	C₂²×D₁₃	1	1	yes	characteristic
646	C₁₃	#3496	1	1	yes	characteristic, complemented, Sylow
647	C₂³	—	2	4	no	—
648	C₂³	—	4	2	no	—
649	C₂³	—	4	2	no	—
650	C₂³	—	13	2	no	—
651	C₂³	—	13	1	no	—
652	C₂³	—	13	8	no	—
653	C₂³	—	13	1	no	—
654	C₂³	—	13	2	no	—
655	C₂³	—	13	1	no	—
656	C₂³	—	26	4	no	—
657	C₂³	—	26	4	no	—
658	C₂³	—	26	4	no	—
659	C₂³	—	52	2	no	—
660	C₂³	—	52	2	no	—
661	C₂³	—	52	2	no	—
662	C₂³	—	52	2	no	—
663	C₂³	—	52	2	no	—
664	C₂³	—	52	2	no	—
665	C₂³	—	52	2	no	—
666	C₂³	—	52	2	no	—
667	C₂³	C₂³×D₁₃	1	1	yes	characteristic
668	C₂³	C₂³×D₁₃	1	2	yes	—
669	C₂³	C₂³×D₁₃	1	1	yes	characteristic
670	C₂³	C₂³×D₁₃	1	2	yes	—
671	Q₈	—	2	2	no	—
672	Q₈	—	26	2	no	—
673	Q₈	—	26	2	no	—
674	Q₈	—	26	2	no	—
675	D₄	—	2	4	no	—
676	D₄	—	2	4	no	—
677	D₄	—	2	2	no	—
678	D₄	—	4	2	no	—
679	D₄	—	4	1	no	—
680	D₄	—	13	8	no	—
681	D₄	—	13	4	no	—
682	D₄	—	26	2	no	—
683	D₄	—	26	4	no	—
684	D₄	—	26	2	no	—
685	D₄	—	26	4	no	—
686	D₄	—	26	4	no	—
687	D₄	—	26	2	no	—
688	D₄	—	26	2	no	—
689	D₄	—	26	2	no	—
690	D₄	—	26	4	no	—
691	D₄	—	26	2	no	—
692	D₄	—	26	2	no	—
693	D₄	—	26	2	no	—
694	D₄	—	26	4	no	—
695	D₄	—	26	4	no	—
696	D₄	—	26	4	no	—
697	D₄	—	26	4	no	—
698	D₄	—	26	4	no	—
699	D₄	—	26	2	no	—
700	D₄	—	52	1	no	—
701	D₄	—	52	2	no	—
702	D₄	—	52	2	no	—
703	D₄	—	52	2	no	—
704	D₄	—	52	2	no	—
705	D₄	D₄×D₁₃	1	4	yes	complemented
706	C₂×C₄	—	2	4	no	—
707	C₂×C₄	—	2	2	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	4	2	no	—
710	C₂×C₄	—	13	1	no	—
711	C₂×C₄	—	13	1	no	—
712	C₂×C₄	—	13	4	no	—
713	C₂×C₄	—	13	1	no	—
714	C₂×C₄	—	13	2	no	—
715	C₂×C₄	—	13	1	no	—
716	C₂×C₄	—	13	2	no	—
717	C₂×C₄	—	13	1	no	—
718	C₂×C₄	—	26	2	no	—
719	C₂×C₄	—	26	4	no	—
720	C₂×C₄	—	26	4	no	—
721	C₂×C₄	—	26	4	no	—
722	C₂×C₄	—	26	4	no	—
723	C₂×C₄	—	26	4	no	—
724	C₂×C₄	—	26	4	no	—
725	C₂×C₄	—	26	4	no	—
726	C₂×C₄	—	26	2	no	—
727	C₂×C₄	—	26	2	no	—
728	C₂×C₄	—	52	1	no	—
729	C₂×C₄	—	52	2	no	—
730	C₂×C₄	—	52	2	no	—
731	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
732	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
733	C₂×C₄	C₂³×D₁₃	1	2	yes	—
734	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
735	C₂×C₄	C₂³×D₁₃	1	2	yes	—
736	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
737	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
738	C₂²	—	2	2	no	—
739	C₂²	—	2	2	no	—
740	C₂²	—	2	1	no	—
741	C₂²	—	2	1	no	—
742	C₂²	—	2	2	no	—
743	C₂²	—	2	1	no	—
744	C₂²	—	2	1	no	—
745	C₂²	—	2	2	no	—
746	C₂²	—	2	1	no	—
747	C₂²	—	2	2	no	—
748	C₂²	—	2	1	no	—
749	C₂²	—	8	4	no	—
750	C₂²	—	13	2	no	—
751	C₂²	—	13	4	no	—
752	C₂²	—	26	1	no	—
753	C₂²	—	26	2	no	—
754	C₂²	—	26	1	no	—
755	C₂²	—	26	2	no	—
756	C₂²	—	26	2	no	—
757	C₂²	—	26	1	no	—
758	C₂²	—	26	1	no	—
759	C₂²	—	26	1	no	—
760	C₂²	—	26	1	no	—
761	C₂²	—	26	2	no	—
762	C₂²	—	26	1	no	—
763	C₂²	—	26	2	no	—
764	C₂²	—	26	1	no	—
765	C₂²	—	52	8	no	—
766	C₂²	—	104	4	no	—
767	C₂²	—	104	4	no	—
768	C₂²	—	104	4	no	—
769	C₂²	C₂×D₄×D₁₃	1	4	yes	—
770	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
771	C₄	—	2	1	no	—
772	C₄	—	2	1	no	—
773	C₄	—	2	2	no	—
774	C₄	—	2	1	no	—
775	C₄	—	2	1	no	—
776	C₄	—	2	2	no	—
777	C₄	—	13	2	no	—
778	C₄	—	13	2	no	—
779	C₄	—	26	1	no	—
780	C₄	—	26	2	no	—
781	C₄	—	26	1	no	—
782	C₄	—	26	1	no	—
783	C₄	—	26	2	no	—
784	C₄	C₂×D₄×D₁₃	1	2	yes	—
785	C₂	—	2	4	no	—
786	C₂	—	4	1	no	—
787	C₂	—	4	2	no	—
788	C₂	—	4	1	no	—
789	C₂	—	26	2	no	—
790	C₂	—	26	4	no	—
791	C₂	—	52	1	no	—
792	C₂	—	52	2	no	—
793	C₂	—	52	1	no	—
794	C₂	C₂²×D₄×D₁₃	1	1	yes	characteristic
795	C₂	#11719648	1	1	yes	characteristic
796	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	#3496
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×#88256	C₂	semidirect
2. C₂×#88251	C₂	semidirect
3. C₁₃×#546	C₂	semidirect
4. #11719529	C₂	semidirect
5. D₄×C₂²⋊D₁₃	C₂	semidirect
6. #11719381	C₂	semidirect
7. #11719373	C₂	semidirect
8. #11719360	C₂	semidirect
9. #11719358	C₂	semidirect
10. #11719336	C₂	semidirect
11. #11719334	C₂	semidirect
12. #11719315	C₂	semidirect
13. #11719314	C₂	semidirect
14. #11719313	C₂	semidirect
15. D₁₃×#121	C₂	semidirect
16. #11719295	C₂	semidirect
17. #11719294	C₂	semidirect
18. #11719259	C₂	semidirect
19. #11719255	C₂	semidirect
20. #11719253	C₂	semidirect
21. C₄×D₄×D₁₃	C₂	semidirect
22. #11719195	C₂	semidirect
23. C₂×#88138	C₂	semidirect
24. C₂×C₁₃×#41	C₂²	semidirect
25. C₂²×D₄×C₁₃	C₂²	semidirect
26. C₂²×C₂²⋊D₁₃	C₂²	semidirect
27. C₂²×C₂²⋊D₁₃	C₂²	semidirect
28. C₂²×C₂²⋊D₁₃	C₂²	semidirect
30. C₂×#6131	C₂²	semidirect
31. C₂×#6131	C₂²	semidirect
33. C₂×#6129	C₂²	semidirect
34. C₂×#6129	C₂²	semidirect
35. C₂×#6129	C₂²	semidirect
37. C₂×D₄×D₁₃	C₂²	semidirect
38. C₂×D₄×D₁₃	C₂²	semidirect
39. C₂×D₄×D₁₃	C₂²	semidirect
40. C₂×D₄×D₁₃	C₂²	semidirect
41. C₂×D₄×D₁₃	C₂²	semidirect
42. C₂×D₄×D₁₃	C₂²	semidirect
43. C₂×#6127	C₂²	semidirect
44. C₂×#6127	C₂²	semidirect
45. C₂×#6127	C₂²	semidirect
46. C₂×#6127	C₂²	semidirect
47. C₂²×D₅₂	C₂²	semidirect
48. C₂²×D₅₂	C₂²	semidirect
49. C₂²×C₄×D₁₃	C₂²	semidirect
50. C₁₃×#124	C₂²	semidirect
51. C₁₃×#123	C₂²	semidirect
52. C₁₃×C₂²⋊Q₈	C₂²	semidirect
53. C₁₃×#121	C₂²	semidirect
54. C₁₃×#121	C₂²	semidirect
55. C₁₃×#120	C₂²	semidirect
56. C₄×D₄×C₁₃	C₂²	semidirect
57. C₄×D₄×C₁₃	C₂²	semidirect
58. C₂×C₁₃×C₂²⋊C₄	C₂²	semidirect
59. #88207	C₂²	semidirect
60. #88200	C₂²	semidirect
61. #88198	C₂²	semidirect
62. #88194	C₂²	semidirect
63. #88194	C₂²	semidirect
64. #88193	C₂²	semidirect
65. #88193	C₂²	semidirect
66. #88193	C₂²	semidirect
67. #88192	C₂²	semidirect
68. #88192	C₂²	semidirect
69. #88192	C₂²	semidirect
70. #88191	C₂²	semidirect
71. #88191	C₂²	semidirect
72. #88191	C₂²	semidirect
73. #88189	C₂²	semidirect
74. D₄×Dic₁₃	C₂²	semidirect
75. #88184	C₂²	semidirect
76. #88184	C₂²	semidirect
77. #88183	C₂²	semidirect
78. C₄×C₂²⋊D₁₃	C₂²	semidirect
79. C₄×C₂²⋊D₁₃	C₂²	semidirect
80. C₄×C₂²⋊D₁₃	C₂²	semidirect
81. C₂×#6103	C₂²	semidirect
82. #88178	C₂²	semidirect
83. C₂×#6101	C₂²	semidirect
84. #88151	C₂²	semidirect
85. #88150	C₂²	semidirect
86. #88149	C₂²	semidirect
87. #88149	C₂²	semidirect
88. #88149	C₂²	semidirect
89. #88148	C₂²	semidirect
90. #88148	C₂²	semidirect
91. #88147	C₂²	semidirect
92. C₄⋊C₄×D₁₃	C₂²	semidirect
93. C₄⋊C₄×D₁₃	C₂²	semidirect
94. #88142	C₂²	semidirect
95. #88140	C₂²	semidirect
96. #88139	C₂²	semidirect
97. #88139	C₂²	semidirect
98. #88138	C₂²	semidirect
99. #88138	C₂²	semidirect
100. #88138	C₂²	semidirect
101. #88138	C₂²	semidirect
102. #88138	C₂²	semidirect
103. #88138	C₂²	semidirect
104. #88138	C₂²	semidirect
105. #88138	C₂²	semidirect
106. #88138	C₂²	semidirect
107. #88138	C₂²	semidirect
108. #88138	C₂²	semidirect
109. #88137	C₂²	semidirect
110. #88137	C₂²	semidirect
111. #88136	C₂²	semidirect
112. #88136	C₂²	semidirect
113. #88136	C₂²	semidirect
114. #88135	C₂²	semidirect
115. #88135	C₂²	semidirect
116. #88135	C₂²	semidirect
117. C₂²⋊C₄×D₁₃	C₂²	semidirect
118. C₂²⋊C₄×D₁₃	C₂²	semidirect
119. C₂²⋊C₄×D₁₃	C₂²	semidirect
120. #88132	C₂²	semidirect
121. #88129	C₂²	semidirect
122. C₄×D₅₂	C₂²	semidirect
123. C₄×D₅₂	C₂²	semidirect
124. C₄²×D₁₃	C₂²	semidirect
176. D₄×D₁₃	D₄	semidirect
267. C₂²×D₁₃	C₂×D₄	semidirect
279. D₄×C₁₃	C₂×D₄	semidirect
306. C₂²⋊D₁₃	C₂×D₄	semidirect
325. D₅₂	C₂×D₄	semidirect
336. C₄×D₁₃	C₂×D₄	semidirect
350. #546	D₁₃	semidirect
409. Dic₁₃	H(5,𝔽₂)	semidirect
421. C₂×#41	C₂×D₁₃	semidirect
434. C₂²×D₄	C₂×D₁₃	semidirect
443. #124	C₂×D₁₃	semidirect
451. #123	C₂×D₁₃	semidirect
457. C₂²⋊Q₈	C₂×D₁₃	semidirect
480. #121	C₂×D₁₃	semidirect
481. #121	C₂×D₁₃	semidirect
489. #120	C₂×D₁₃	semidirect
500. C₄×D₄	C₂×D₁₃	semidirect
501. C₄×D₄	C₂×D₁₃	semidirect
509. C₂×C₂²⋊C₄	C₂×D₁₃	semidirect
646. C₁₃	#3496	semidirect
705. D₄	D₄×D₁₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#88256	2
C₂×#88251	2
C₁₃×#546	2
#11719529	2
D₄×C₂²⋊D₁₃	2
#11719381	2
#11719373	2
#11719360	2
#11719358	2
#11719336	2
#11719334	2
#11719315	2
#11719314	2
#11719313	2
D₁₃×#121	2
#11719295	2
#11719294	2
#11719259	2
#11719255	2
#11719253	2
C₄×D₄×D₁₃	2
#11719195	2
C₂×#88138	2
#3496	13