Subgroups — #16016171

Order 3328.

648 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13127937	C₂	1	2	yes	maximal, complemented
2	D₁₃×#443	C₂	1	1	yes	maximal, characteristic
3	#13116679	C₂	1	1	yes	maximal, characteristic, complemented
4	#13116678	C₂	1	1	yes	maximal, characteristic, complemented
5	#13116677	C₂	1	1	yes	maximal, characteristic, complemented
6	#13116671	C₂	1	2	yes	maximal, complemented
7	#13116670	C₂	1	2	yes	maximal, complemented
8	D₁₃×#364	C₂	1	1	yes	maximal, characteristic, complemented
9	#13116462	C₂	1	2	yes	maximal, complemented
10	#13116429	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2171	C₂	1	1	yes	maximal, characteristic, complemented
12	D₁₃×#135	C₄	1	1	yes	characteristic
13	D₁₃×#131	C₂²	1	2	yes	—
14	C₁₃×#504	C₂²	1	2	yes	complemented
15	C₁₃×#443	C₂²	1	1	yes	characteristic
16	#11718857	C₄	1	1	yes	characteristic
17	#11718805	C₂²	1	2	yes	—
18	#11718801	C₂²	1	2	yes	complemented
19	#11718568	—	2	2	no	—
20	#11718568	C₂²	1	2	yes	complemented
21	D₁₃×M₃₂	—	2	2	no	—
22	D₁₃×M₃₂	C₂²	1	2	yes	—
23	#11718562	—	2	2	no	—
24	#11718562	C₂²	1	2	yes	complemented
25	C₂×#88038	—	2	2	no	—
26	C₂×#88038	C₂²	1	1	yes	characteristic
27	C₂×#88038	C₂²	1	1	yes	characteristic
28	#11718556	C₄	1	1	yes	characteristic
29	D₁₃×#108	C₄	1	1	yes	characteristic
30	#11718485	C₄	1	2	yes	—
31	D₁₃×#104	C₄	1	2	yes	—
32	#11718361	C₂²	1	1	yes	characteristic
33	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#364	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#350	C₂²	1	2	yes	complemented
36	C₁₃×#346	C₂²	1	1	yes	characteristic, complemented
37	#11718153	C₂²	1	2	yes	complemented
38	#11718107	C₂²	1	2	yes	complemented
39	#11718103	C₂²	1	2	yes	complemented
40	#11718100	C₂²	1	2	yes	complemented
41	C₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
43	#11718055	C₂²	1	1	yes	characteristic, complemented
44	#11718053	C₂²	1	1	yes	characteristic, complemented
45	#41×D₁₃	C₂×C₄	1	2	yes	—
46	C₁₃×#135	C₂×C₄	1	1	yes	characteristic
47	C₁₃×#131	C₂³	1	2	yes	—
48	#88204	C₂×C₄	1	2	yes	—
49	#88202	C₂×C₄	1	2	yes	—
50	#88173	C₈	1	1	yes	characteristic
51	Q₁₆×D₁₃	C₈	1	1	yes	characteristic
52	#88170	C₈	1	2	yes	—
53	SD₁₆×D₁₃	C₈	1	2	yes	—
54	#88166	C₈	1	1	yes	characteristic
55	D₈×D₁₃	C₈	1	1	yes	characteristic
56	#88161	—	2	2	no	—
57	#88161	C₂×C₄	1	2	yes	—
58	M₁₆×D₁₃	—	2	2	no	—
59	M₁₆×D₁₃	C₂×C₄	1	2	yes	—
60	#88158	C₂×C₄	1	1	yes	characteristic
61	#88155	—	2	2	no	—
62	#88155	C₂³	1	2	yes	—
63	C₂×C₈×D₁₃	—	2	2	no	—
64	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
65	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
66	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
67	C₁₃×M₃₂	—	2	2	no	—
68	C₁₃×M₃₂	C₂³	1	2	yes	—
69	C₂×C₁₃×C₁₆	—	2	2	no	—
70	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
71	C₂×C₁₃×C₁₆	C₂³	1	1	yes	characteristic
72	C₁₃×#108	C₂×C₄	1	1	yes	characteristic
73	C₁₃×#104	C₂×C₄	1	2	yes	—
74	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
75	#88077	C₂×C₄	1	2	yes	—
76	#88065	C₂×C₄	1	2	yes	—
77	#88062	C₂×C₄	1	2	yes	—
78	#88059	C₂×C₄	1	1	yes	characteristic
79	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
80	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
81	#88052	—	2	2	no	—
82	#88052	C₂³	1	2	yes	—
83	C₂×#6090	—	2	2	no	—
84	C₂×#6090	C₂³	1	1	yes	characteristic
85	C₂×#6090	C₂³	1	1	yes	characteristic
86	#88045	C₂×C₄	1	2	yes	—
87	C₄×#1055	C₂×C₄	1	1	yes	characteristic
88	#88038	—	2	2	no	—
89	#88038	—	2	1	no	—
90	#88038	—	2	1	no	—
91	#88038	—	2	2	no	—
92	#88038	—	2	2	no	—
93	#88038	D₄	1	2	yes	—
94	#88038	D₄	1	2	yes	—
95	C₁₆×D₁₃	—	2	2	no	—
96	C₁₆×D₁₃	—	2	2	no	—
97	C₁₆×D₁₃	—	2	2	no	—
98	#33443	—	13	1	no	maximal, Sylow
99	C₁₃×#41	C₂²×C₄	1	2	yes	—
100	#6131	C₂×C₈	1	2	yes	—
101	Q₈×D₁₃	C₂×C₈	1	2	yes	—
102	#6129	—	2	2	no	—
103	#6129	C₂×C₈	1	2	yes	—
104	D₄×D₁₃	—	2	2	no	—
105	D₄×D₁₃	C₂×C₈	1	2	yes	—
106	#6127	—	2	2	no	—
107	#6127	C₂²×C₄	1	2	yes	—
108	C₂×C₄×D₁₃	—	2	2	no	—
109	C₂×C₄×D₁₃	—	2	1	no	—
110	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
111	C₁₃×Q₁₆	C₂×C₈	1	1	yes	characteristic
112	C₁₃×SD₁₆	C₂×C₈	1	2	yes	—
113	C₁₃×D₈	C₂×C₈	1	1	yes	characteristic
114	C₁₃×M₁₆	—	2	2	no	—
115	C₁₃×M₁₆	C₂²×C₄	1	2	yes	—
116	C₂×C₈×C₁₃	—	2	2	no	—
117	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
119	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
120	#6107	C₂×C₈	1	2	yes	—
121	#6106	C₂×C₈	1	2	yes	—
122	#6105	C₂×C₈	1	2	yes	—
123	#6104	C₂×C₈	1	2	yes	—
124	C₄×Dic₁₃	—	2	1	no	—
125	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
126	#6099	—	2	2	no	—
127	#6099	C₂²×C₄	1	2	yes	—
128	C₂×#1055	—	2	2	no	—
129	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
130	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
131	Dic₅₂	C₂×C₈	1	1	yes	characteristic
132	D₁₀₄	C₂×C₈	1	1	yes	characteristic
133	#6095	C₂×C₈	1	2	yes	—
134	#6094	—	2	2	no	—
135	#6094	—	2	2	no	—
136	#6094	—	2	2	no	—
137	C₈×D₁₃	—	2	2	no	—
138	C₈×D₁₃	—	2	2	no	—
139	C₈×D₁₃	—	2	2	no	—
140	C₈×D₁₃	C₂×C₈	1	1	yes	characteristic
141	C₈×D₁₃	C₂×C₈	1	1	yes	characteristic
142	C₈×D₁₃	C₂×C₈	1	1	yes	characteristic
143	C₈×D₁₃	C₂×C₈	1	1	yes	characteristic
144	C₈×D₁₃	C₂×D₄	1	1	yes	characteristic
145	C₈×D₁₃	C₂×D₄	1	1	yes	characteristic
146	C₈×D₁₃	#41	1	1	yes	characteristic
147	C₈×D₁₃	#41	1	1	yes	characteristic
148	C₁₃×C₁₆	—	2	2	no	—
149	C₁₃×C₁₆	—	2	1	no	—
150	C₁₃×C₁₆	C₂×D₄	1	2	yes	—
151	#6090	—	2	2	no	—
152	#6090	—	2	1	no	—
153	#6090	C₂×D₄	1	2	yes	—
154	#3407	—	13	2	no	—
155	C₂×#443	—	13	1	no	—
156	#2171	—	13	1	no	—
157	#2171	—	13	1	no	—
158	#2171	—	13	1	no	—
159	#2171	D₁₃	1	1	yes	characteristic, complemented
160	#2170	—	13	2	no	—
161	#2170	—	13	2	no	—
162	C₂×#364	—	13	1	no	—
163	#2117	—	13	2	no	—
164	C₄×M₃₂	—	13	1	no	—
165	C₂²×D₁₃	—	2	2	no	—
166	C₂²×D₁₃	#131	1	1	yes	characteristic
167	Q₈×C₁₃	C₂²×C₈	1	2	yes	—
168	D₄×C₁₃	—	2	2	no	—
169	D₄×C₁₃	C₂²×C₈	1	2	yes	—
170	C₂×C₄×C₁₃	—	2	2	no	—
171	C₂×C₄×C₁₃	—	2	1	no	—
172	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
173	C₂²⋊D₁₃	—	2	2	no	—
174	C₂²⋊D₁₃	—	2	2	no	—
175	C₂²⋊D₁₃	—	2	2	no	—
176	C₂×Dic₁₃	—	2	1	no	—
177	C₂×Dic₁₃	—	2	2	no	—
178	C₂×Dic₁₃	#131	1	1	yes	characteristic
179	D₅₂	—	2	2	no	—
180	D₅₂	C₂²×C₈	1	2	yes	—
181	C₄×D₁₃	—	2	2	no	—
182	C₄×D₁₃	—	2	2	no	—
183	C₄×D₁₃	—	2	2	no	—
184	C₄×D₁₃	—	4	2	no	—
185	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
186	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
187	C₄×D₁₃	C₂²×C₈	1	1	yes	characteristic
188	C₄×D₁₃	C₂²×C₈	1	1	yes	characteristic
189	Dic₂₆	—	2	2	no	—
190	Dic₂₆	C₂²×C₈	1	2	yes	—
191	C₈×C₁₃	—	2	2	no	—
192	C₈×C₁₃	C₂²×C₈	1	1	yes	characteristic
193	C₈×C₁₃	C₂²×C₈	1	1	yes	characteristic
194	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
195	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
196	#1055	—	2	2	no	—
197	#1055	C₄×D₄	1	1	yes	characteristic
198	#1055	C₄×D₄	1	1	yes	characteristic
199	#1055	C₂²×C₈	1	1	yes	characteristic
200	#1055	C₂²×C₈	1	1	yes	characteristic
201	C₂×#135	—	13	1	no	—
202	C₂×#131	—	13	2	no	—
203	#504	—	13	2	no	—
204	#504	—	13	2	no	—
205	#504	—	13	2	no	—
206	#504	—	26	2	no	—
207	#504	—	26	2	no	—
208	#504	C₂×D₁₃	1	2	yes	complemented
209	C₂×M₃₂	—	13	1	no	—
210	C₂×M₃₂	—	13	1	no	—
211	C₂×M₃₂	—	13	2	no	—
212	C₂×M₃₂	—	26	2	no	—
213	C₂×M₃₂	—	26	2	no	—
214	#443	—	13	1	no	—
215	#443	—	13	2	no	—
216	#443	—	13	1	no	—
217	#443	—	13	2	no	—
218	#443	—	13	1	no	—
219	#443	C₂×D₁₃	1	1	yes	characteristic
220	C₂×#108	—	13	1	no	—
221	C₂×#104	—	13	2	no	—
222	C₂×C₄×C₈	—	13	1	no	—
223	#364	—	13	2	no	—
224	#364	—	13	1	no	—
225	#364	C₂×D₁₃	1	1	yes	characteristic, complemented
226	#350	—	13	2	no	—
227	#350	—	13	2	no	—
228	#350	—	13	2	no	—
229	#350	C₂×D₁₃	1	2	yes	complemented
230	#346	—	13	1	no	—
231	#346	C₂×D₁₃	1	1	yes	characteristic, complemented
232	C₄×C₁₆	—	13	1	no	—
233	C₄×C₁₆	—	13	1	no	—
234	C₂²×C₁₃	—	2	2	no	—
235	C₂²×C₁₃	C₂×#131	1	1	yes	characteristic
236	C₂×D₁₃	—	2	2	no	—
237	C₂×D₁₃	—	4	1	no	—
238	C₂×D₁₃	—	8	2	no	—
239	C₂×D₁₃	C₈×D₄	1	1	yes	characteristic
240	C₂×D₁₃	C₈×D₄	1	1	yes	characteristic
241	C₄×C₁₃	—	2	2	no	—
242	C₄×C₁₃	—	4	1	no	—
243	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
244	C₄×C₁₃	C₂³×C₈	1	1	yes	characteristic
245	Dic₁₃	—	2	2	no	—
246	Dic₁₃	—	2	2	no	—
247	Dic₁₃	C₈×D₄	1	1	yes	characteristic
248	Dic₁₃	C₈×D₄	1	1	yes	characteristic
249	C₂×#41	—	13	2	no	—
250	#135	—	13	2	no	—
251	#135	—	13	1	no	—
252	#135	—	13	2	no	—
253	#135	—	13	1	no	—
254	#135	—	13	1	no	—
255	#135	C₄×D₁₃	1	1	yes	characteristic
256	C₂×Q₁₆	—	13	1	no	—
257	C₂×SD₁₆	—	13	2	no	—
258	C₂×D₈	—	13	1	no	—
259	#131	—	13	2	no	—
260	#131	—	13	2	no	—
261	#131	—	13	2	no	—
262	#131	—	26	2	no	—
263	#131	—	26	2	no	—
264	#131	C₂²×D₁₃	1	2	yes	—
265	C₂×M₁₆	—	13	2	no	—
266	C₂×M₁₆	—	26	2	no	—
267	C₂²×C₈	—	13	1	no	—
268	C₂²×C₈	—	13	1	no	—
269	C₂²×C₈	—	26	2	no	—
270	C₂×C₄²	—	13	1	no	—
271	M₃₂	—	2	2	no	—
272	M₃₂	—	13	2	no	—
273	M₃₂	—	13	2	no	—
274	M₃₂	—	13	2	no	—
275	M₃₂	—	26	2	no	—
276	M₃₂	—	26	1	no	—
277	M₃₂	—	26	1	no	—
278	M₃₂	—	26	2	no	—
279	M₃₂	—	26	2	no	—
280	M₃₂	—	26	2	no	—
281	M₃₂	C₂²×D₁₃	1	2	yes	—
282	C₂×C₁₆	—	2	2	no	—
283	C₂×C₁₆	—	13	1	no	—
284	C₂×C₁₆	—	13	1	no	—
285	C₂×C₁₆	—	26	2	no	—
286	C₂×C₁₆	—	26	2	no	—
287	C₂×C₁₆	—	26	2	no	—
288	C₂×C₁₆	—	26	2	no	—
289	C₂×C₁₆	C₂²×D₁₃	1	1	yes	characteristic
290	C₂×C₁₆	C₂²×D₁₃	1	1	yes	characteristic
291	#108	—	13	2	no	—
292	#108	—	13	1	no	—
293	#108	C₄×D₁₃	1	1	yes	characteristic
294	#104	—	13	2	no	—
295	#104	—	13	2	no	—
296	#104	—	13	2	no	—
297	#104	C₄×D₁₃	1	2	yes	—
298	C₄×C₈	—	13	1	no	—
299	C₄×C₈	—	13	1	no	—
300	C₄×C₈	—	13	1	no	—
301	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
302	C₂×C₁₃	—	2	1	no	—
303	C₂×C₁₃	—	4	2	no	—
304	C₂×C₁₃	C₂×C₈×D₄	1	1	yes	characteristic
305	D₁₃	—	2	1	no	—
306	D₁₃	—	2	1	no	—
307	D₁₃	—	4	2	no	—
308	#41	—	13	2	no	—
309	#41	—	13	2	no	—
310	#41	—	13	2	no	—
311	#41	—	26	2	no	—
312	#41	—	26	2	no	—
313	#41	C₂×C₄×D₁₃	1	2	yes	—
314	C₂×Q₈	—	13	2	no	—
315	C₂×D₄	—	13	2	no	—
316	C₂×D₄	—	26	2	no	—
317	C₂²×C₄	—	13	1	no	—
318	C₂²×C₄	—	26	2	no	—
319	C₂²×C₄	—	26	1	no	—
320	Q₁₆	—	13	2	no	—
321	Q₁₆	—	13	1	no	—
322	Q₁₆	C₈×D₁₃	1	1	yes	characteristic
323	SD₁₆	—	13	2	no	—
324	SD₁₆	—	13	2	no	—
325	SD₁₆	—	13	2	no	—
326	SD₁₆	C₈×D₁₃	1	2	yes	—
327	D₈	—	13	2	no	—
328	D₈	—	13	1	no	—
329	D₈	C₈×D₁₃	1	1	yes	characteristic
330	M₁₆	—	2	2	no	—
331	M₁₆	—	13	2	no	—
332	M₁₆	—	26	2	no	—
333	M₁₆	—	26	2	no	—
334	M₁₆	—	26	2	no	—
335	M₁₆	—	26	2	no	—
336	M₁₆	C₂×C₄×D₁₃	1	2	yes	—
337	C₂×C₈	—	2	2	no	—
338	C₂×C₈	—	13	1	no	—
339	C₂×C₈	—	13	1	no	—
340	C₂×C₈	—	13	1	no	—
341	C₂×C₈	—	13	1	no	—
342	C₂×C₈	—	13	1	no	—
343	C₂×C₈	—	13	1	no	—
344	C₂×C₈	—	13	1	no	—
345	C₂×C₈	—	13	1	no	—
346	C₂×C₈	—	13	1	no	—
347	C₂×C₈	—	13	1	no	—
348	C₂×C₈	—	26	2	no	—
349	C₂×C₈	—	26	2	no	—
350	C₂×C₈	—	26	2	no	—
351	C₂×C₈	—	26	2	no	—
352	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
353	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
354	C₄²	—	13	1	no	—
355	C₄²	—	26	1	no	—
356	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
357	C₁₆	—	2	2	no	—
358	C₁₆	—	2	1	no	—
359	C₁₆	—	13	2	no	—
360	C₁₆	—	26	2	no	—
361	C₁₆	—	26	1	no	—
362	C₁₆	D₄×D₁₃	1	2	yes	—
363	C₁₃	#33443	1	1	yes	characteristic, complemented, Sylow
364	C₂³	—	13	1	no	—
365	C₂³	—	26	2	no	—
366	Q₈	—	13	2	no	—
367	Q₈	—	26	2	no	—
368	Q₈	C₂×C₈×D₁₃	1	2	yes	—
369	D₄	—	2	2	no	—
370	D₄	—	13	2	no	—
371	D₄	—	26	2	no	—
372	D₄	—	26	2	no	—
373	D₄	—	26	2	no	—
374	D₄	—	26	2	no	—
375	D₄	C₂×C₈×D₁₃	1	2	yes	—
376	C₂×C₄	—	2	2	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	13	1	no	—
379	C₂×C₄	—	13	1	no	—
380	C₂×C₄	—	13	1	no	—
381	C₂×C₄	—	13	1	no	—
382	C₂×C₄	—	13	1	no	—
383	C₂×C₄	—	26	2	no	—
384	C₂×C₄	—	26	2	no	—
385	C₂×C₄	—	26	2	no	—
386	C₂×C₄	—	26	1	no	—
387	C₂×C₄	—	26	2	no	—
388	C₂×C₄	—	52	2	no	—
389	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
390	C₈	—	2	2	no	—
391	C₈	—	13	1	no	—
392	C₈	—	13	1	no	—
393	C₈	—	13	1	no	—
394	C₈	—	13	1	no	—
395	C₈	—	26	2	no	—
396	C₈	C₂×C₈×D₁₃	1	1	yes	characteristic
397	C₈	C₂×C₈×D₁₃	1	1	yes	characteristic
398	C₈	C₂×D₄×D₁₃	1	1	yes	characteristic
399	C₈	#41×D₁₃	1	1	yes	characteristic
400	C₂²	—	2	2	no	—
401	C₂²	—	13	1	no	—
402	C₂²	—	13	1	no	—
403	C₂²	—	26	2	no	—
404	C₂²	—	52	1	no	—
405	C₂²	—	104	2	no	—
406	C₂²	D₁₃×#131	1	1	yes	characteristic
407	C₄	—	2	2	no	—
408	C₄	—	4	1	no	—
409	C₄	—	13	1	no	—
410	C₄	—	13	1	no	—
411	C₄	—	26	2	no	—
412	C₄	—	26	2	no	—
413	C₄	C₄×D₄×D₁₃	1	1	yes	characteristic
414	C₄	C₂²×C₈×D₁₃	1	1	yes	characteristic
415	C₂	—	2	1	no	—
416	C₂	—	4	2	no	—
417	C₂	—	26	1	no	—
418	C₂	—	26	1	no	—
419	C₂	—	52	2	no	—
420	C₂	C₈×D₄×D₁₃	1	1	yes	characteristic

	subgroup	G/H
center	C₈	C₂×D₄×D₁₃
commutator	C₄×C₁₃	C₂³×C₈
Frattini	C₂×C₈	C₂³×D₁₃
Fitting	C₁₃×#2171	C₂
socle	C₂×C₁₃	C₂×C₈×D₄
prime radical	D₁₃×#135	C₄
cosocle	C₂×C₈×C₁₃	C₂⁴
hypercenter	#2171	D₁₃
hypocenter	C₁₃	#33443
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₈ ◁ C₂×C₁₆ ◁ #2171

Complements

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

N	H ≅ G/N	type
1. #13127937	C₂	semidirect
3. #13116679	C₂	semidirect
4. #13116678	C₂	semidirect
5. #13116677	C₂	semidirect
6. #13116671	C₂	semidirect
7. #13116670	C₂	semidirect
8. D₁₃×#364	C₂	semidirect
9. #13116462	C₂	semidirect
10. #13116429	C₂	semidirect
11. C₁₃×#2171	C₂	semidirect
14. C₁₃×#504	C₂²	semidirect
18. #11718801	C₂²	semidirect
20. #11718568	C₂²	semidirect
24. #11718562	C₂²	semidirect
34. C₁₃×#364	C₂²	semidirect
35. C₁₃×#350	C₂²	semidirect
36. C₁₃×#346	C₂²	semidirect
37. #11718153	C₂²	semidirect
38. #11718107	C₂²	semidirect
39. #11718103	C₂²	semidirect
40. #11718100	C₂²	semidirect
41. C₁₆×Dic₁₃	C₂²	semidirect
42. C₁₆×Dic₁₃	C₂²	semidirect
43. #11718055	C₂²	semidirect
44. #11718053	C₂²	semidirect
159. #2171	D₁₃	semidirect
208. #504	C₂×D₁₃	semidirect
225. #364	C₂×D₁₃	semidirect
229. #350	C₂×D₁₃	semidirect
231. #346	C₂×D₁₃	semidirect
363. C₁₃	#33443	semidirect

Maximal subgroups

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

subgroup	index
#13127937	2
D₁₃×#443	2
#13116679	2
#13116678	2
#13116677	2
#13116671	2
#13116670	2
D₁₃×#364	2
#13116462	2
#13116429	2
C₁₃×#2171	2
#33443	13