Subgroups — #13129408

Order 1664.

1032 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
2	Q₈×C₂²⋊D₁₃	C₂	1	2	yes	maximal, complemented
3	#11719511	C₂	1	2	yes	maximal, complemented
4	#11719389	C₂	1	2	yes	maximal, complemented
5	#11719387	C₂	1	2	yes	maximal, complemented
6	#11719382	C₂	1	2	yes	maximal, complemented
7	#11719380	C₂	1	2	yes	maximal, complemented
8	#11719377	C₂	1	2	yes	maximal, complemented
9	#11719376	C₂	1	2	yes	maximal, complemented
10	#11719374	C₂	1	4	yes	maximal, complemented
11	#11719200	C₂	1	4	yes	maximal, complemented
12	#11719199	C₂	1	2	yes	maximal, complemented
13	#11719188	C₂	1	2	yes	maximal, complemented
14	#11719184	C₂	1	1	yes	maximal, characteristic, complemented
15	#11719175	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×Q₈×C₁₃	C₂²	1	1	yes	characteristic
17	C₂²×D₄×C₁₃	C₂²	1	1	yes	characteristic
18	C₂×Q₈×D₁₃	C₂²	1	2	yes	complemented
19	C₂×#6129	C₂²	1	2	yes	—
20	C₁₃×#124	C₂²	1	2	yes	—
21	C₁₃×#124	C₂²	1	2	yes	—
22	C₁₃×#124	C₂²	1	2	yes	—
23	C₁₃×#124	C₂²	1	2	yes	—
24	C₂×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
25	C₂×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
26	C₂×C₄²×C₁₃	C₂²	1	1	yes	characteristic
27	#88207	C₂²	1	4	yes	—
28	C₂×C₂²⋊Dic₁₃	C₂²	1	4	yes	—
29	#88200	C₂²	1	4	yes	complemented
30	#88200	C₂²	1	2	yes	complemented
31	Q₈×Dic₁₃	C₂²	1	2	yes	complemented
32	#88198	C₂²	1	4	yes	complemented
33	#88198	C₂²	1	2	yes	complemented
34	#88193	C₂²	1	4	yes	—
35	#88192	C₂²	1	2	yes	—
36	#88190	C₂²	1	2	yes	—
37	#88189	C₂²	1	4	yes	—
38	D₄×Dic₁₃	C₂²	1	2	yes	—
39	#88184	C₂²	1	1	yes	characteristic
40	#88183	C₂²	1	2	yes	—
41	C₄×C₂²⋊D₁₃	C₂²	1	2	yes	—
42	C₄×C₂²⋊D₁₃	C₂²	1	4	yes	—
43	#88180	C₂²	1	2	yes	—
44	#88178	C₂²	1	2	yes	—
45	#88178	C₂²	1	2	yes	—
46	#88178	C₂²	1	1	yes	characteristic
47	#88178	C₂²	1	4	yes	—
48	#88140	C₂²	1	4	yes	complemented
49	#88139	C₂²	1	4	yes	complemented
50	#88139	C₂²	1	4	yes	complemented
51	#88138	C₂²	1	4	yes	complemented
52	#88137	C₂²	1	4	yes	complemented
53	#88137	C₂²	1	4	yes	complemented
54	#88135	C₂²	1	4	yes	complemented
55	#88133	C₂²	1	4	yes	complemented
56	#88133	C₂²	1	4	yes	complemented
57	#88133	C₂²	1	4	yes	complemented
58	#88132	C₂²	1	4	yes	complemented
59	#88132	C₂²	1	4	yes	complemented
60	#88132	C₂²	1	4	yes	complemented
61	#88132	C₂²	1	4	yes	complemented
62	#88132	C₂²	1	4	yes	complemented
63	#88131	C₂²	1	4	yes	complemented
64	#88130	C₂²	1	2	yes	complemented
65	#88129	C₂²	1	1	yes	characteristic, complemented
66	C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
67	#88126	C₂²	1	2	yes	complemented
68	#88124	C₂²	1	2	yes	complemented
69	#88124	C₂²	1	1	yes	characteristic, complemented
70	#88123	C₂²	1	1	yes	characteristic, complemented
71	#88123	C₂²	1	1	yes	characteristic, complemented
72	C₄×Dic₂₆	C₂²	1	2	yes	complemented
73	C₄×Dic₂₆	C₂²	1	2	yes	complemented
74	C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
75	C₂⁴×C₁₃	C₂³	1	2	yes	—
76	C₂×Q₈×C₁₃	—	4	2	no	—
77	C₂×Q₈×C₁₃	C₂³	1	2	yes	—
78	C₂×Q₈×C₁₃	C₂³	1	2	yes	—
79	C₂×D₄×C₁₃	—	4	2	no	—
80	C₂×D₄×C₁₃	C₂³	1	2	yes	—
81	C₂×D₄×C₁₃	C₂³	1	2	yes	—
82	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
83	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
84	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
85	C₂²×C₄×C₁₃	C₂³	1	2	yes	—
86	C₂×C₂²⋊D₁₃	C₂³	1	2	yes	—
87	C₂×C₂²⋊D₁₃	C₂³	1	4	yes	—
88	C₂×C₂²⋊D₁₃	C₂³	1	4	yes	—
89	C₂²×Dic₁₃	C₂³	1	4	yes	—
90	C₂²×Dic₁₃	C₂³	1	4	yes	—
91	Q₈×D₁₃	—	4	4	no	—
92	#6129	—	4	4	no	—
93	C₂×D₅₂	C₂³	1	1	yes	characteristic
94	C₂×C₄×D₁₃	C₂³	1	2	yes	—
95	C₂×C₄×D₁₃	C₂³	1	4	yes	—
96	C₂×Dic₂₆	C₂³	1	2	yes	—
97	C₂×Dic₂₆	C₂³	1	2	yes	—
98	C₂×Dic₂₆	C₂³	1	1	yes	characteristic
99	C₂×Dic₂₆	C₂³	1	4	yes	—
100	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
101	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
102	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
103	C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
104	C₄²×C₁₃	C₂³	1	1	yes	characteristic
105	C₄²×C₁₃	C₂³	1	1	yes	characteristic
106	C₄²×C₁₃	C₂³	1	1	yes	characteristic
107	C₄²×C₁₃	C₂³	1	1	yes	characteristic
108	C₂²⋊Dic₁₃	C₂³	1	4	yes	—
109	C₂²⋊Dic₁₃	C₂³	1	4	yes	—
110	C₂²⋊Dic₁₃	C₂³	1	4	yes	—
111	C₂²⋊Dic₁₃	C₂³	1	4	yes	—
112	C₂²⋊Dic₁₃	C₂³	1	4	yes	—
113	C₂²⋊Dic₁₃	C₂³	1	2	yes	—
114	#6103	C₂³	1	2	yes	—
115	#6103	C₂³	1	2	yes	—
116	#6103	C₂³	1	2	yes	—
117	#6103	C₂³	1	2	yes	—
118	#6103	C₂³	1	4	yes	—
119	C₄⋊Dic₁₃	C₂³	1	2	yes	—
120	C₄⋊Dic₁₃	C₂³	1	2	yes	—
121	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
122	C₄⋊Dic₁₃	C₂³	1	2	yes	—
123	C₄⋊Dic₁₃	C₂³	1	2	yes	—
124	C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
125	C₄⋊Dic₁₃	C₂³	1	4	yes	—
126	#6101	C₂³	1	4	yes	—
127	#6101	C₂³	1	4	yes	—
128	#6101	C₂³	1	2	yes	—
129	#6101	C₂³	1	2	yes	—
130	#6101	C₂³	1	2	yes	—
131	#6101	C₂³	1	2	yes	—
132	#6101	C₂³	1	4	yes	—
133	#6101	C₂³	1	4	yes	—
134	#6101	C₂³	1	4	yes	—
135	C₄×Dic₁₃	C₂³	1	4	yes	—
136	C₄×Dic₁₃	C₂³	1	2	yes	—
137	C₄×Dic₁₃	C₂³	1	4	yes	—
138	#3561	—	13	1	no	maximal, Sylow
139	C₂³×C₁₃	—	2	4	no	—
140	C₂³×C₁₃	—	4	2	no	—
141	C₂³×C₁₃	—	4	2	no	—
142	C₂³×C₁₃	C₂⁴	1	4	yes	—
143	C₂³×C₁₃	C₂⁴	1	1	yes	characteristic
144	C₂²×D₁₃	C₂⁴	1	2	yes	—
145	Q₈×C₁₃	—	2	4	no	—
146	Q₈×C₁₃	—	4	2	no	—
147	D₄×C₁₃	—	2	4	no	—
148	D₄×C₁₃	—	4	2	no	—
149	C₂×C₄×C₁₃	—	2	2	no	—
150	C₂×C₄×C₁₃	—	2	2	no	—
151	C₂×C₄×C₁₃	—	4	1	no	—
152	C₂×C₄×C₁₃	—	4	2	no	—
153	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
154	C₂×C₄×C₁₃	C₂⁴	1	4	yes	—
155	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
156	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
157	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
158	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
159	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
160	C₂²⋊D₁₃	—	2	4	no	—
161	C₂²⋊D₁₃	—	4	4	no	—
162	C₂²⋊D₁₃	—	4	4	no	—
163	C₂×Dic₁₃	—	4	4	no	—
164	C₂×Dic₁₃	—	4	4	no	—
165	C₂×Dic₁₃	C₂⁴	1	2	yes	—
166	C₂×Dic₁₃	C₂⁴	1	4	yes	—
167	C₂×Dic₁₃	C₂⁴	1	2	yes	—
168	C₂×Dic₁₃	C₂⁴	1	4	yes	—
169	C₂×Dic₁₃	C₂⁴	1	2	yes	—
170	D₅₂	—	4	1	no	—
171	C₄×D₁₃	—	2	4	no	—
172	C₄×D₁₃	—	4	4	no	—
173	Dic₂₆	—	2	4	no	—
174	Dic₂₆	—	4	1	no	—
175	Dic₂₆	—	4	2	no	—
176	Dic₂₆	—	4	4	no	—
177	#563	—	13	2	no	—
178	#562	—	13	2	no	—
179	#556	—	13	2	no	—
180	#551	—	13	4	no	—
181	D₄×Q₈	—	13	2	no	—
182	#548	—	13	2	no	—
183	#546	—	13	2	no	—
184	#543	—	13	2	no	—
185	#542	—	13	4	no	—
186	#542	—	13	2	no	—
187	#538	—	13	2	no	—
188	#536	—	13	2	no	—
189	#533	—	13	1	no	—
190	#529	—	13	1	no	—
191	C₂×#124	D₁₃	1	1	yes	characteristic, complemented
192	C₂²×C₁₃	—	2	1	no	—
193	C₂²×C₁₃	—	2	1	no	—
194	C₂²×C₁₃	—	2	4	no	—
195	C₂²×C₁₃	—	2	4	no	—
196	C₂²×C₁₃	—	2	4	no	—
197	C₂²×C₁₃	—	8	4	no	—
198	C₂²×C₁₃	2₋¹⁺⁴	1	2	yes	—
199	C₂²×C₁₃	C₂⁵	1	1	yes	characteristic
200	C₂×D₁₃	—	2	2	no	—
201	C₂×D₁₃	—	2	2	no	—
202	C₂×D₁₃	—	2	2	no	—
203	C₄×C₁₃	—	2	4	no	—
204	C₄×C₁₃	—	2	1	no	—
205	C₄×C₁₃	—	2	1	no	—
206	C₄×C₁₃	—	2	1	no	—
207	C₄×C₁₃	—	2	1	no	—
208	C₄×C₁₃	—	2	1	no	—
209	C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
210	Dic₁₃	—	2	4	no	—
211	Dic₁₃	—	2	2	no	—
212	Dic₁₃	—	2	2	no	—
213	Dic₁₃	—	2	2	no	—
214	Dic₁₃	—	2	4	no	—
215	C₂×#41	—	13	2	no	—
216	C₂²×Q₈	—	13	2	no	—
217	C₂²×Q₈	C₂×D₁₃	1	1	yes	characteristic
218	C₂²×D₄	C₂×D₁₃	1	1	yes	characteristic
219	C₄⋊Q₈	—	13	2	no	—
220	C₄⋊Q₈	—	13	4	no	—
221	C₄⋊Q₈	—	13	1	no	—
222	C₄⋊Q₈	—	13	1	no	—
223	#126	—	13	4	no	—
224	#126	—	13	4	no	—
225	#126	—	13	4	no	—
226	#126	—	13	2	no	—
227	#125	—	13	1	no	—
228	#125	—	13	2	no	—
229	#124	—	13	2	no	—
230	#124	—	13	4	no	—
231	#124	—	13	4	no	—
232	#124	—	13	1	no	—
233	#124	C₂×D₁₃	1	2	yes	—
234	#124	C₂×D₁₃	1	2	yes	—
235	#124	C₂×D₁₃	1	2	yes	—
236	#124	C₂×D₁₃	1	2	yes	—
237	#123	—	13	4	no	—
238	#123	—	13	2	no	—
239	#123	—	13	4	no	—
240	#123	—	13	4	no	—
241	#123	—	13	4	no	—
242	C₂²⋊Q₈	—	13	2	no	—
243	C₂²⋊Q₈	—	13	4	no	—
244	C₂²⋊Q₈	—	13	1	no	—
245	C₂²⋊Q₈	—	13	2	no	—
246	C₂²⋊Q₈	—	13	2	no	—
247	C₂²⋊Q₈	—	13	4	no	—
248	C₂²⋊Q₈	—	13	4	no	—
249	C₂²⋊Q₈	—	13	4	no	—
250	C₂²⋊Q₈	—	13	4	no	—
251	C₂²⋊Q₈	—	13	4	no	—
252	C₂²⋊Q₈	—	13	4	no	—
253	#121	—	13	2	no	—
254	#121	—	13	4	no	—
255	#121	—	13	1	no	—
256	#121	—	13	4	no	—
257	#120	—	13	4	no	—
258	C₄×Q₈	—	13	2	no	—
259	C₄×Q₈	—	13	1	no	—
260	C₄×Q₈	—	13	2	no	—
261	C₄×Q₈	—	13	2	no	—
262	C₄×D₄	—	13	2	no	—
263	C₄×D₄	—	13	2	no	—
264	C₄×D₄	—	13	4	no	—
265	C₄×D₄	—	13	4	no	—
266	C₄×D₄	—	13	1	no	—
267	#117	—	13	2	no	—
268	#117	—	13	4	no	—
269	#117	—	13	2	no	—
270	C₂×C₂²⋊C₄	—	13	4	no	—
271	C₂×C₂²⋊C₄	C₂×D₁₃	1	2	yes	—
272	C₂×C₂²⋊C₄	C₂×D₁₃	1	2	yes	—
273	C₂×C₄²	C₂×D₁₃	1	1	yes	characteristic
274	C₂×C₁₃	—	2	2	no	—
275	C₂×C₁₃	—	4	4	no	—
276	C₂×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
277	C₂×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
278	C₂×C₁₃	#585	1	1	yes	characteristic
279	D₁₃	—	4	2	no	—
280	C₂⁴	C₂²×D₁₃	1	2	yes	—
281	#41	—	52	4	no	—
282	C₂×Q₈	—	4	2	no	—
283	C₂×Q₈	—	13	2	no	—
284	C₂×Q₈	—	13	1	no	—
285	C₂×Q₈	—	13	2	no	—
286	C₂×Q₈	—	13	4	no	—
287	C₂×Q₈	—	52	4	no	—
288	C₂×Q₈	C₂²×D₁₃	1	2	yes	—
289	C₂×Q₈	C₂²×D₁₃	1	2	yes	—
290	C₂×D₄	—	4	2	no	—
291	C₂×D₄	—	13	2	no	—
292	C₂×D₄	—	13	4	no	—
293	C₂×D₄	—	13	4	no	—
294	C₂×D₄	—	13	1	no	—
295	C₂×D₄	C₂²×D₁₃	1	2	yes	—
296	C₂×D₄	C₂²×D₁₃	1	2	yes	—
297	C₂²×C₄	—	13	4	no	—
298	C₂²×C₄	—	13	4	no	—
299	C₂²×C₄	—	13	2	no	—
300	C₂²×C₄	—	13	4	no	—
301	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
302	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
303	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
304	C₂²×C₄	C₂²×D₁₃	1	2	yes	—
305	C₄⋊C₄	—	13	2	no	—
306	C₄⋊C₄	—	13	2	no	—
307	C₄⋊C₄	—	13	4	no	—
308	C₄⋊C₄	—	13	2	no	—
309	C₄⋊C₄	—	13	2	no	—
310	C₄⋊C₄	—	13	2	no	—
311	C₄⋊C₄	—	13	2	no	—
312	C₄⋊C₄	—	13	1	no	—
313	C₄⋊C₄	—	13	4	no	—
314	C₄⋊C₄	—	13	4	no	—
315	C₄⋊C₄	—	13	2	no	—
316	C₄⋊C₄	—	13	4	no	—
317	C₄⋊C₄	—	13	4	no	—
318	C₄⋊C₄	—	13	1	no	—
319	C₄⋊C₄	—	13	4	no	—
320	C₄⋊C₄	—	13	2	no	—
321	C₂²⋊C₄	—	13	2	no	—
322	C₂²⋊C₄	—	13	4	no	—
323	C₂²⋊C₄	—	13	4	no	—
324	C₂²⋊C₄	—	13	4	no	—
325	C₂²⋊C₄	—	13	4	no	—
326	C₂²⋊C₄	—	13	4	no	—
327	C₂²⋊C₄	—	13	2	no	—
328	C₂²⋊C₄	—	13	2	no	—
329	C₂²⋊C₄	—	13	2	no	—
330	C₂²⋊C₄	—	13	2	no	—
331	C₂²⋊C₄	—	13	4	no	—
332	C₂²⋊C₄	C₂²×D₁₃	1	4	yes	—
333	C₂²⋊C₄	C₂²×D₁₃	1	4	yes	—
334	C₂²⋊C₄	C₂²×D₁₃	1	4	yes	—
335	C₂²⋊C₄	C₂²×D₁₃	1	4	yes	—
336	C₄²	—	13	4	no	—
337	C₄²	—	13	2	no	—
338	C₄²	—	13	4	no	—
339	C₄²	C₂²×D₁₃	1	1	yes	characteristic
340	C₄²	C₂²×D₁₃	1	1	yes	characteristic
341	C₄²	C₂²×D₁₃	1	1	yes	characteristic
342	C₄²	C₂²×D₁₃	1	1	yes	characteristic
343	C₁₃	#3561	1	1	yes	characteristic, complemented, Sylow
344	C₂³	—	2	4	no	—
345	C₂³	—	4	2	no	—
346	C₂³	—	4	2	no	—
347	C₂³	—	13	2	no	—
348	C₂³	C₂³×D₁₃	1	4	yes	—
349	C₂³	C₂³×D₁₃	1	1	yes	characteristic
350	Q₈	—	2	4	no	—
351	Q₈	—	4	2	no	—
352	Q₈	—	26	4	no	—
353	Q₈	—	52	1	no	—
354	Q₈	—	52	2	no	—
355	Q₈	—	52	4	no	—
356	D₄	—	2	4	no	—
357	D₄	—	4	2	no	—
358	D₄	—	26	4	no	—
359	D₄	—	52	1	no	—
360	D₄	—	52	4	no	—
361	D₄	—	52	4	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	2	2	no	—
364	C₂×C₄	—	4	1	no	—
365	C₂×C₄	—	4	2	no	—
366	C₂×C₄	—	13	2	no	—
367	C₂×C₄	—	13	4	no	—
368	C₂×C₄	—	13	2	no	—
369	C₂×C₄	—	13	4	no	—
370	C₂×C₄	—	13	2	no	—
371	C₂×C₄	—	26	4	no	—
372	C₂×C₄	—	52	4	no	—
373	C₂×C₄	—	52	4	no	—
374	C₂×C₄	—	52	4	no	—
375	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
376	C₂×C₄	C₂³×D₁₃	1	4	yes	—
377	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
378	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
379	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
380	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
381	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	4	no	—
385	C₂²	—	2	4	no	—
386	C₂²	—	2	4	no	—
387	C₂²	—	8	4	no	—
388	C₂²	—	26	2	no	—
389	C₂²	—	26	2	no	—
390	C₂²	—	26	2	no	—
391	C₂²	#88257	1	2	yes	—
392	C₂²	C₂⁴×D₁₃	1	1	yes	characteristic
393	C₄	—	2	1	no	—
394	C₄	—	2	4	no	—
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	26	2	no	—
400	C₄	—	26	4	no	—
401	C₄	—	26	2	no	—
402	C₄	—	26	2	no	—
403	C₄	—	26	4	no	—
404	C₄	#88251	1	2	yes	—
405	C₂	—	2	2	no	—
406	C₂	—	4	4	no	—
407	C₂	—	52	2	no	—
408	C₂	C₂×#88251	1	1	yes	characteristic
409	C₂	C₂×#88257	1	1	yes	characteristic
410	C₂	#11719648	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁵
Fitting	C₂×C₁₃×#124	C₂
hypercenter	C₂×#124	D₁₃
hypocenter	C₁₃	#3561
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×#124

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#124	C₂	semidirect
2. Q₈×C₂²⋊D₁₃	C₂	semidirect
3. #11719511	C₂	semidirect
4. #11719389	C₂	semidirect
5. #11719387	C₂	semidirect
6. #11719382	C₂	semidirect
7. #11719380	C₂	semidirect
8. #11719377	C₂	semidirect
9. #11719376	C₂	semidirect
10. #11719374	C₂	semidirect
11. #11719200	C₂	semidirect
12. #11719199	C₂	semidirect
13. #11719188	C₂	semidirect
14. #11719184	C₂	semidirect
15. #11719175	C₂	semidirect
18. C₂×Q₈×D₁₃	C₂²	semidirect
29. #88200	C₂²	semidirect
30. #88200	C₂²	semidirect
31. Q₈×Dic₁₃	C₂²	semidirect
32. #88198	C₂²	semidirect
33. #88198	C₂²	semidirect
48. #88140	C₂²	semidirect
49. #88139	C₂²	semidirect
50. #88139	C₂²	semidirect
51. #88138	C₂²	semidirect
52. #88137	C₂²	semidirect
53. #88137	C₂²	semidirect
54. #88135	C₂²	semidirect
55. #88133	C₂²	semidirect
56. #88133	C₂²	semidirect
57. #88133	C₂²	semidirect
58. #88132	C₂²	semidirect
59. #88132	C₂²	semidirect
60. #88132	C₂²	semidirect
61. #88132	C₂²	semidirect
62. #88132	C₂²	semidirect
63. #88131	C₂²	semidirect
64. #88130	C₂²	semidirect
65. #88129	C₂²	semidirect
66. C₄×D₅₂	C₂²	semidirect
67. #88126	C₂²	semidirect
68. #88124	C₂²	semidirect
69. #88124	C₂²	semidirect
70. #88123	C₂²	semidirect
71. #88123	C₂²	semidirect
72. C₄×Dic₂₆	C₂²	semidirect
73. C₄×Dic₂₆	C₂²	semidirect
74. C₄×Dic₂₆	C₂²	semidirect
191. C₂×#124	D₁₃	semidirect
343. C₁₃	#3561	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#124	2
Q₈×C₂²⋊D₁₃	2
#11719511	2
#11719389	2
#11719387	2
#11719382	2
#11719380	2
#11719377	2
#11719376	2
#11719374	2
#11719200	2
#11719199	2
#11719188	2
#11719184	2
#11719175	2
#3561	13