Subgroups — #15832745

Order 3328.

710 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	#13123874	C₂	1	2	yes	maximal, complemented
2	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic
3	#13113751	C₂	1	1	yes	maximal, characteristic, complemented
4	#13113750	C₂	1	1	yes	maximal, characteristic, complemented
5	#13113749	C₂	1	1	yes	maximal, characteristic, complemented
6	#13113719	C₂	1	2	yes	maximal, complemented
7	#13113718	C₂	1	2	yes	maximal, complemented
8	#13113581	C₂	1	1	yes	maximal, characteristic, complemented
9	#13113225	C₂	1	2	yes	maximal, complemented
10	#13113121	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1594	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₈×D₁₃	C₄	1	1	yes	characteristic
13	C₄×D₄×D₁₃	C₂²	1	2	yes	—
14	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
15	C₁₃×#436	C₂²	1	2	yes	complemented
16	D₈×Dic₁₃	C₄	1	1	yes	characteristic
17	#11718789	—	2	2	no	—
18	#11718787	—	2	2	no	—
19	C₄×#6104	C₂²	1	2	yes	—
20	#11718673	C₂²	1	2	yes	complemented
21	D₁₃×#107	C₄	1	1	yes	characteristic
22	#11718533	C₄	1	1	yes	characteristic
23	#11718499	C₂²	1	2	yes	complemented
24	#11718494	C₂²	1	2	yes	—
25	D₁₃×#102	C₄	1	2	yes	—
26	#11718417	C₄	1	2	yes	—
27	#11718390	—	2	2	no	—
28	#11718387	—	2	2	no	—
29	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
30	#11718349	C₂²	1	2	yes	complemented
31	#11718346	C₂²	1	1	yes	characteristic
32	#11718346	C₂²	1	1	yes	characteristic
33	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#334	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×D₄⋊C₈	C₂²	1	2	yes	complemented
36	C₁₃×#322	C₂²	1	1	yes	characteristic, complemented
37	D₄⋊#1055	C₂²	1	2	yes	complemented
38	#11718075	C₂²	1	2	yes	complemented
39	#11718071	C₂²	1	2	yes	complemented
40	#11718051	C₂²	1	2	yes	complemented
41	#11718049	C₂²	1	1	yes	characteristic, complemented
42	#11718047	C₂²	1	1	yes	characteristic, complemented
43	C₈×#1055	C₂²	1	1	yes	characteristic, complemented
44	C₈×#1055	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₄×D₁₃	C₂×C₄	1	2	yes	—
46	C₂²×C₄×D₁₃	—	2	2	no	—
47	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic
48	C₂×C₁₃×M₁₆	—	2	2	no	—
49	C₄×D₄×C₁₃	C₂³	1	2	yes	—
50	D₄×Dic₁₃	C₂×C₄	1	2	yes	—
51	C₂×#6104	C₂×C₄	1	2	yes	—
52	C₄×C₂²⋊D₁₃	—	2	2	no	—
53	C₂×#6099	—	2	2	no	—
54	D₈×D₁₃	—	2	4	no	—
55	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic
56	C₂×#6094	—	2	2	no	—
57	C₂×#6094	—	2	2	no	—
58	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
59	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
60	#88147	C₂×C₄	1	2	yes	—
61	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
62	#88135	—	2	2	no	—
63	C₂²⋊C₄×D₁₃	—	2	2	no	—
64	C₄×D₅₂	C₂³	1	2	yes	—
65	C₄²×D₁₃	C₂³	1	1	yes	characteristic
66	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
67	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
68	C₁₃×#102	C₂×C₄	1	2	yes	—
69	C₁₃×C₂²⋊C₈	—	2	2	no	—
70	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
71	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
72	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
73	#88072	C₂×C₄	1	2	yes	—
74	C₂²⋊#1055	—	2	2	no	—
75	#88061	C₂×C₄	1	2	yes	—
76	#88060	—	2	2	no	—
77	#88060	—	2	1	no	—
78	#88060	—	2	2	no	—
79	#88060	—	2	2	no	—
80	#88060	D₄	1	2	yes	—
81	#88058	C₂×C₄	1	1	yes	characteristic
82	#88054	—	2	1	no	—
83	#88054	D₄	1	2	yes	—
84	C₈×Dic₁₃	—	2	2	no	—
85	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
86	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
87	#88049	C₂×C₄	1	2	yes	—
88	#88047	C₂×C₄	1	2	yes	—
89	C₄⋊#1055	C₂³	1	2	yes	—
90	C₄×#1055	C₂³	1	1	yes	characteristic
91	C₄×#1055	C₂³	1	1	yes	characteristic
92	C₄×#1055	C₂³	1	1	yes	characteristic
93	#17895	—	13	1	no	maximal, Sylow
94	C₂³×D₁₃	—	2	2	no	—
95	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
96	C₂²×C₄×C₁₃	—	2	2	no	—
97	C₂×C₂²⋊D₁₃	—	2	2	no	—
98	C₂²×Dic₁₃	—	2	2	no	—
99	D₄×D₁₃	—	2	4	no	—
100	D₄×D₁₃	—	2	4	no	—
101	C₂×D₅₂	C₂²×C₄	1	2	yes	—
102	C₂×C₄×D₁₃	—	2	2	no	—
103	C₂×C₄×D₁₃	—	2	2	no	—
104	C₂×C₄×D₁₃	—	2	2	no	—
105	C₂×C₄×D₁₃	—	8	2	no	—
106	C₂×C₄×D₁₃	—	8	2	no	—
107	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
108	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
109	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
110	C₁₃×D₈	—	2	2	no	—
111	C₁₃×M₁₆	—	8	2	no	—
112	C₂×C₈×C₁₃	—	2	2	no	—
113	C₂×C₈×C₁₃	—	2	1	no	—
114	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
115	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
116	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
117	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
118	C₁₃×C₂²⋊C₄	—	2	2	no	—
119	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
120	C₂²⋊Dic₁₃	—	2	2	no	—
121	#6104	—	2	4	no	—
122	#6103	—	2	2	no	—
123	#6103	—	2	2	no	—
124	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
125	#6101	—	2	2	no	—
126	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
127	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
128	C₄×Dic₁₃	#41	1	1	yes	characteristic
129	#6099	—	8	2	no	—
130	C₂×#1055	—	2	2	no	—
131	C₂×#1055	—	2	1	no	—
132	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
133	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
134	C₂×#1055	C₂×D₄	1	2	yes	—
135	D₁₀₄	—	2	2	no	—
136	#6094	—	8	2	no	—
137	#6094	—	8	2	no	—
138	C₈×D₁₃	—	2	2	no	—
139	C₈×D₁₃	M₁₆	1	4	yes	complemented
140	#2975	—	13	2	no	—
141	C₂×C₄×D₈	—	13	1	no	—
142	#1594	—	13	1	no	—
143	#1594	—	13	1	no	—
144	#1594	—	13	1	no	—
145	#1594	D₁₃	1	1	yes	characteristic, complemented
146	#1589	—	13	2	no	—
147	#1589	—	13	2	no	—
148	#1564	—	13	1	no	—
149	#1478	—	13	2	no	—
150	#1450	—	13	1	no	—
151	C₂³×C₁₃	—	2	2	no	—
152	C₂²×D₁₃	—	2	2	no	—
153	C₂²×D₁₃	—	4	4	no	—
154	C₂²×D₁₃	—	8	2	no	—
155	C₂²×D₁₃	—	8	2	no	—
156	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
157	D₄×C₁₃	—	2	2	no	—
158	D₄×C₁₃	—	2	2	no	—
159	C₂×C₄×C₁₃	—	2	2	no	—
160	C₂×C₄×C₁₃	—	4	2	no	—
161	C₂×C₄×C₁₃	—	4	2	no	—
162	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
163	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
165	C₂²⋊D₁₃	—	4	4	no	—
166	C₂×Dic₁₃	—	2	2	no	—
167	C₂×Dic₁₃	—	8	2	no	—
168	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
169	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
170	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
171	D₅₂	—	2	2	no	—
172	D₅₂	—	2	2	no	—
173	C₄×D₁₃	—	2	2	no	—
174	C₄×D₁₃	—	4	1	no	—
175	C₄×D₁₃	—	4	2	no	—
176	C₄×D₁₃	—	4	2	no	—
177	C₄×D₁₃	—	8	2	no	—
178	C₄×D₁₃	—	8	2	no	—
179	C₄×D₁₃	C₂×M₁₆	1	2	yes	—
180	C₄×D₁₃	#131	1	2	yes	—
181	C₈×C₁₃	—	2	1	no	—
182	C₈×C₁₃	—	2	2	no	—
183	C₈×C₁₃	—	4	1	no	—
184	C₈×C₁₃	—	4	2	no	—
185	C₈×C₁₃	C₂×M₁₆	1	2	yes	—
186	#1055	—	2	1	no	—
187	#1055	—	2	2	no	—
188	#1055	—	4	1	no	—
189	#1055	—	4	2	no	—
190	#1055	C₂×M₁₆	1	2	yes	—
191	C₂²×D₈	—	13	1	no	—
192	C₂×C₄×D₄	—	13	2	no	—
193	C₄×D₈	—	13	1	no	—
194	C₄×D₈	—	13	2	no	—
195	C₄×D₈	—	13	1	no	—
196	C₄×D₈	—	13	2	no	—
197	C₄×D₈	—	13	1	no	—
198	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
199	#436	—	13	2	no	—
200	#436	—	13	2	no	—
201	#436	—	13	2	no	—
202	#436	—	26	2	no	—
203	#436	—	26	2	no	—
204	#436	C₂×D₁₃	1	2	yes	complemented
205	#431	—	13	1	no	—
206	#431	—	13	1	no	—
207	#431	—	13	2	no	—
208	C₂×#107	—	13	1	no	—
209	C₂×#102	—	13	2	no	—
210	#407	—	26	2	no	—
211	#407	—	26	2	no	—
212	C₂×C₄×C₈	—	13	1	no	—
213	#335	—	13	2	no	—
214	#334	—	13	1	no	—
215	#334	C₂×D₁₃	1	1	yes	characteristic, complemented
216	D₄⋊C₈	—	13	2	no	—
217	D₄⋊C₈	—	13	2	no	—
218	D₄⋊C₈	—	13	2	no	—
219	D₄⋊C₈	C₂×D₁₃	1	2	yes	complemented
220	#322	—	13	1	no	—
221	#322	C₂×D₁₃	1	1	yes	characteristic, complemented
222	C₈²	—	13	1	no	—
223	C₈²	—	13	1	no	—
224	C₂²×C₁₃	—	4	2	no	—
225	C₂²×C₁₃	—	4	2	no	—
226	C₂²×C₁₃	—	4	2	no	—
227	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
228	C₂×D₁₃	—	2	1	no	—
229	C₂×D₁₃	—	2	1	no	—
230	C₂×D₁₃	—	4	2	no	—
231	C₂×D₁₃	—	4	2	no	—
232	C₂×D₁₃	—	4	2	no	—
233	C₂×D₁₃	—	8	8	no	—
234	C₂×D₁₃	#436	1	2	yes	—
235	C₄×C₁₃	—	2	1	no	—
236	C₄×C₁₃	—	4	2	no	—
237	C₄×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
238	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
239	C₄×C₁₃	#576	1	2	yes	—
240	Dic₁₃	—	2	1	no	—
241	Dic₁₃	—	2	1	no	—
242	Dic₁₃	—	4	2	no	—
243	Dic₁₃	#436	1	2	yes	—
244	C₂²×D₄	—	13	2	no	—
245	C₂³×C₄	—	26	2	no	—
246	C₂×D₈	—	13	2	no	—
247	C₂×D₈	—	13	1	no	—
248	C₂×D₈	—	26	4	no	—
249	C₂×D₈	C₄×D₁₃	1	1	yes	characteristic
250	C₂×M₁₆	—	2	2	no	—
251	C₂×M₁₆	—	26	2	no	—
252	C₂×M₁₆	—	26	2	no	—
253	C₂×M₁₆	—	26	2	no	—
254	C₂²×C₈	—	13	1	no	—
255	C₂²×C₈	—	13	1	no	—
256	C₄×D₄	—	13	2	no	—
257	C₄×D₄	—	13	2	no	—
258	C₄×D₄	—	13	2	no	—
259	C₄×D₄	—	26	2	no	—
260	C₄×D₄	—	26	2	no	—
261	C₄×D₄	C₂²×D₁₃	1	2	yes	—
262	C₂×C₄⋊C₄	—	13	2	no	—
263	C₂×C₂²⋊C₄	—	26	2	no	—
264	C₂×C₄²	—	13	1	no	—
265	#107	—	13	1	no	—
266	#107	—	13	2	no	—
267	#107	C₄×D₁₃	1	1	yes	characteristic
268	C₄⋊C₈	—	13	2	no	—
269	C₄⋊C₈	—	13	2	no	—
270	C₄⋊C₈	—	26	1	no	—
271	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
272	#102	—	13	2	no	—
273	#102	—	13	2	no	—
274	#102	—	13	2	no	—
275	#102	C₄×D₁₃	1	2	yes	—
276	C₂²⋊C₈	—	2	2	no	—
277	C₂²⋊C₈	—	13	2	no	—
278	C₂²⋊C₈	—	26	2	no	—
279	C₂²⋊C₈	—	26	2	no	—
280	C₂²⋊C₈	—	26	1	no	—
281	C₂²⋊C₈	—	26	2	no	—
282	C₂²⋊C₈	—	26	2	no	—
283	C₄×C₈	—	13	1	no	—
284	C₄×C₈	—	13	1	no	—
285	C₄×C₈	—	13	1	no	—
286	C₄×C₈	—	13	1	no	—
287	C₄×C₈	—	13	1	no	—
288	C₄×C₈	—	26	2	no	—
289	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
290	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
291	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
292	C₂×C₁₃	—	8	2	no	—
293	C₂×C₁₃	C₂×#436	1	1	yes	characteristic
294	C₂×C₁₃	#2948	1	1	yes	characteristic
295	C₂×C₁₃	#2957	1	1	yes	characteristic
296	D₁₃	—	2	2	no	—
297	D₁₃	—	8	2	no	—
298	C₂⁴	—	26	2	no	—
299	C₂×D₄	—	13	2	no	—
300	C₂×D₄	—	26	4	no	—
301	C₂×D₄	—	26	4	no	—
302	C₂×D₄	—	26	2	no	—
303	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
304	C₂²×C₄	—	2	2	no	—
305	C₂²×C₄	—	13	1	no	—
306	C₂²×C₄	—	13	1	no	—
307	C₂²×C₄	—	13	1	no	—
308	C₂²×C₄	—	26	2	no	—
309	C₂²×C₄	—	26	2	no	—
310	C₂²×C₄	—	26	2	no	—
311	C₂²×C₄	—	26	2	no	—
312	C₂²×C₄	—	104	2	no	—
313	C₂²×C₄	—	104	2	no	—
314	D₈	—	2	2	no	—
315	D₈	—	26	4	no	—
316	D₈	—	26	2	no	—
317	M₁₆	—	8	2	no	—
318	M₁₆	—	104	2	no	—
319	M₁₆	—	104	2	no	—
320	M₁₆	—	104	2	no	—
321	C₂×C₈	—	2	2	no	—
322	C₂×C₈	—	2	1	no	—
323	C₂×C₈	—	13	1	no	—
324	C₂×C₈	—	13	4	no	—
325	C₂×C₈	—	13	1	no	—
326	C₂×C₈	—	13	2	no	—
327	C₂×C₈	—	26	2	no	—
328	C₂×C₈	—	26	2	no	—
329	C₂×C₈	—	26	1	no	—
330	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
331	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
332	C₂×C₈	D₄×D₁₃	1	2	yes	—
333	C₄⋊C₄	—	13	2	no	—
334	C₄⋊C₄	—	26	2	no	—
335	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
336	C₂²⋊C₄	—	2	2	no	—
337	C₂²⋊C₄	—	26	2	no	—
338	C₂²⋊C₄	—	26	2	no	—
339	C₂²⋊C₄	—	26	2	no	—
340	C₄²	—	13	1	no	—
341	C₄²	—	13	1	no	—
342	C₄²	—	13	1	no	—
343	C₄²	C₂³×D₁₃	1	1	yes	characteristic
344	C₁₃	#17895	1	1	yes	characteristic, complemented, Sylow
345	C₂³	—	2	2	no	—
346	C₂³	—	13	1	no	—
347	C₂³	—	26	2	no	—
348	C₂³	—	52	4	no	—
349	C₂³	—	104	2	no	—
350	C₂³	—	104	2	no	—
351	D₄	—	2	2	no	—
352	D₄	—	2	2	no	—
353	D₄	—	26	2	no	—
354	D₄	—	26	2	no	—
355	D₄	—	52	4	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	13	1	no	—
360	C₂×C₄	—	13	2	no	—
361	C₂×C₄	—	13	2	no	—
362	C₂×C₄	—	13	1	no	—
363	C₂×C₄	—	13	1	no	—
364	C₂×C₄	—	26	2	no	—
365	C₂×C₄	—	26	2	no	—
366	C₂×C₄	—	52	1	no	—
367	C₂×C₄	—	52	2	no	—
368	C₂×C₄	—	52	2	no	—
369	C₂×C₄	—	104	2	no	—
370	C₂×C₄	—	104	2	no	—
371	C₂×C₄	—	104	2	no	—
372	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
373	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
374	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
375	C₈	—	2	1	no	—
376	C₈	—	2	2	no	—
377	C₈	—	4	1	no	—
378	C₈	—	4	2	no	—
379	C₈	—	13	2	no	—
380	C₈	—	26	1	no	—
381	C₈	—	26	2	no	—
382	C₈	—	52	1	no	—
383	C₈	—	52	2	no	—
384	C₈	M₁₆×D₁₃	1	2	yes	—
385	C₂²	—	4	2	no	—
386	C₂²	—	4	2	no	—
387	C₂²	—	4	2	no	—
388	C₂²	—	13	2	no	—
389	C₂²	—	26	1	no	—
390	C₂²	—	26	1	no	—
391	C₂²	—	52	2	no	—
392	C₂²	—	52	2	no	—
393	C₂²	—	52	2	no	—
394	C₂²	—	104	8	no	—
395	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	4	2	no	—
398	C₄	—	13	2	no	—
399	C₄	—	26	1	no	—
400	C₄	—	26	1	no	—
401	C₄	—	52	2	no	—
402	C₄	C₂×M₁₆×D₁₃	1	1	yes	characteristic
403	C₄	D₁₃×#131	1	1	yes	characteristic
404	C₄	#11719479	1	2	yes	—
405	C₂	—	8	2	no	—
406	C₂	—	26	2	no	—
407	C₂	—	104	2	no	—
408	C₂	D₁₃×#436	1	1	yes	characteristic
409	C₂	#13123685	1	1	yes	characteristic
410	C₂	#13123750	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#1594	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂×D₈×D₁₃	C₄
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#1594	D₁₃
hypocenter	C₁₃	#17895
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #1594

Complements

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

N	H ≅ G/N	type
1. #13123874	C₂	semidirect
3. #13113751	C₂	semidirect
4. #13113750	C₂	semidirect
5. #13113749	C₂	semidirect
6. #13113719	C₂	semidirect
7. #13113718	C₂	semidirect
8. #13113581	C₂	semidirect
9. #13113225	C₂	semidirect
10. #13113121	C₂	semidirect
11. C₁₃×#1594	C₂	semidirect
15. C₁₃×#436	C₂²	semidirect
20. #11718673	C₂²	semidirect
23. #11718499	C₂²	semidirect
30. #11718349	C₂²	semidirect
34. C₁₃×#334	C₂²	semidirect
35. C₁₃×D₄⋊C₈	C₂²	semidirect
36. C₁₃×#322	C₂²	semidirect
37. D₄⋊#1055	C₂²	semidirect
38. #11718075	C₂²	semidirect
39. #11718071	C₂²	semidirect
40. #11718051	C₂²	semidirect
41. #11718049	C₂²	semidirect
42. #11718047	C₂²	semidirect
43. C₈×#1055	C₂²	semidirect
44. C₈×#1055	C₂²	semidirect
139. C₈×D₁₃	M₁₆	semidirect
145. #1594	D₁₃	semidirect
204. #436	C₂×D₁₃	semidirect
215. #334	C₂×D₁₃	semidirect
219. D₄⋊C₈	C₂×D₁₃	semidirect
221. #322	C₂×D₁₃	semidirect
344. C₁₃	#17895	semidirect

Maximal subgroups

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

subgroup	index
#13123874	2
C₄×D₈×D₁₃	2
#13113751	2
#13113750	2
#13113749	2
#13113719	2
#13113718	2
#13113581	2
#13113225	2
#13113121	2
C₁₃×#1594	2
#17895	13