Subgroups — C₁₃×#23720 #15710059

Order 3328.

744 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×C₁₃×#137	C₂	1	2	yes	maximal
2	C₂×C₁₃×#441	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2923	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#2090	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2079	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#2064	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2052	C₂	1	2	yes	maximal
8	C₁₃×#2047	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2020	C₂	1	1	yes	maximal, characteristic
10	C₁₃×#1778	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×C₁₃×#101	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₃×#137	C₂²	1	2	yes	—
13	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
14	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
15	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
16	C₁₃×#441	—	2	2	no	—
17	C₁₃×#441	—	2	2	no	—
18	C₁₃×#441	—	2	2	no	—
19	C₁₃×#440	—	2	2	no	—
20	C₄×C₁₃×Q₁₆	—	2	2	no	—
21	C₄×C₁₃×SD₁₆	—	2	2	no	—
22	C₁₃×#433	—	2	2	no	—
23	C₁₃×#432	—	2	2	no	—
24	C₂×C₁₃×#108	C₂²	1	2	yes	—
25	C₁₃×#428	C₂²	1	2	yes	—
26	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
27	C₁₃×#424	C₂²	1	1	yes	characteristic
28	C₁₃×#424	C₂²	1	1	yes	characteristic
29	C₁₃×#419	C₂²	1	2	yes	—
30	C₁₃×#417	C₂²	1	2	yes	—
31	C₂×C₁₃×#103	C₂²	1	2	yes	—
32	C₂×C₁₃×#101	C₂²	1	2	yes	—
33	C₂×C₁₃×#101	C₂²	1	2	yes	—
34	C₁₃×#408	C₂²	1	1	yes	characteristic
35	C₁₃×#408	C₂²	1	1	yes	characteristic
36	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
37	C₄×C₁₃×M₁₆	C₂²	1	2	yes	—
38	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
39	C₁₃×#343	C₂²	1	2	yes	—
40	C₁₃×#343	C₂²	1	2	yes	—
41	C₁₃×#341	C₂²	1	1	yes	characteristic
42	C₁₃×#341	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
44	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
45	C₁₃×#137	—	2	4	no	—
46	C₁₃×#137	—	2	4	no	—
47	C₂×C₁₃×Q₁₆	—	2	2	no	—
48	C₂×C₁₃×Q₁₆	—	2	4	no	—
49	C₂×C₁₃×Q₁₆	—	2	2	no	—
50	C₂×C₁₃×SD₁₆	—	2	2	no	—
51	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
52	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
53	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
54	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
55	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
56	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
57	C₄×Q₈×C₁₃	—	2	2	no	—
58	C₄×Q₈×C₁₃	—	2	2	no	—
59	C₄×Q₈×C₁₃	—	2	2	no	—
60	C₄×Q₈×C₁₃	—	2	2	no	—
61	C₄×Q₈×C₁₃	D₄	1	2	yes	—
62	C₄×D₄×C₁₃	—	2	2	no	—
63	C₄×D₄×C₁₃	D₄	1	2	yes	—
64	C₁₃×#117	—	2	1	no	—
65	C₁₃×#117	C₂³	1	1	yes	characteristic
66	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
67	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
68	C₂×C₄²×C₁₃	—	2	1	no	—
69	C₂×C₄²×C₁₃	—	2	2	no	—
70	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
71	C₁₃×#108	—	2	4	no	—
72	C₁₃×#107	—	2	2	no	—
73	C₁₃×#106	—	2	2	no	—
74	C₁₃×#106	—	2	2	no	—
75	C₁₃×C₄⋊C₈	—	2	2	no	—
76	C₁₃×C₄⋊C₈	—	2	2	no	—
77	C₁₃×#103	—	2	2	no	—
78	C₁₃×#103	—	2	4	no	—
79	C₁₃×#103	—	2	2	no	—
80	C₁₃×#103	—	2	2	no	—
81	C₁₃×#102	—	2	2	no	—
82	C₁₃×#101	—	2	4	no	—
83	C₁₃×#101	—	2	4	no	—
84	C₁₃×C₂²⋊C₈	—	2	2	no	—
85	C₁₃×C₂²⋊C₈	—	2	2	no	—
86	C₁₃×#97	—	2	1	no	—
87	C₁₃×#97	—	2	2	no	—
88	C₁₃×#97	D₄	1	2	yes	—
89	C₁₃×#97	D₄	1	2	yes	—
90	C₄×C₈×C₁₃	—	2	1	no	—
91	C₄×C₈×C₁₃	—	2	2	no	—
92	#23720	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
93	C₁₃×#41	—	2	2	no	—
94	C₁₃×#41	—	2	2	no	—
95	C₂×Q₈×C₁₃	—	2	2	no	—
96	C₂×Q₈×C₁₃	—	2	2	no	—
97	C₂×Q₈×C₁₃	—	2	2	no	—
98	C₂×Q₈×C₁₃	—	2	2	no	—
99	C₂×Q₈×C₁₃	—	2	2	no	—
100	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
101	C₂×Q₈×C₁₃	#41	1	4	yes	—
102	C₂×D₄×C₁₃	—	2	1	no	—
103	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₁₃	—	2	2	no	—
105	C₂²×C₄×C₁₃	—	2	1	no	—
106	C₂²×C₄×C₁₃	—	2	2	no	—
107	C₂²×C₄×C₁₃	—	2	2	no	—
108	C₂²×C₄×C₁₃	#41	1	2	yes	—
109	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
110	C₁₃×Q₁₆	—	2	8	no	—
111	C₁₃×Q₁₆	—	2	8	no	—
112	C₁₃×SD₁₆	—	2	8	no	—
113	C₁₃×M₁₆	—	2	2	no	—
114	C₁₃×M₁₆	—	2	2	no	—
115	C₁₃×M₁₆	—	2	2	no	—
116	C₁₃×M₁₆	—	2	2	no	—
117	C₁₃×M₁₆	—	2	2	no	—
118	C₁₃×M₁₆	#41	1	4	yes	—
119	C₂×C₈×C₁₃	—	2	2	no	—
120	C₂×C₈×C₁₃	—	2	2	no	—
121	C₂×C₈×C₁₃	—	2	2	no	—
122	C₂×C₈×C₁₃	—	2	1	no	—
123	C₂×C₈×C₁₃	—	2	1	no	—
124	C₂×C₈×C₁₃	—	2	2	no	—
125	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
126	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
127	C₁₃×C₄⋊C₄	—	2	2	no	—
128	C₁₃×C₄⋊C₄	—	2	2	no	—
129	C₁₃×C₄⋊C₄	—	2	2	no	—
130	C₁₃×C₄⋊C₄	—	4	2	no	—
131	C₁₃×C₄⋊C₄	—	4	2	no	—
132	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
133	C₁₃×C₂²⋊C₄	—	2	1	no	—
134	C₁₃×C₂²⋊C₄	—	2	2	no	—
135	C₄²×C₁₃	—	2	2	no	—
136	C₄²×C₁₃	—	2	1	no	—
137	C₄²×C₁₃	—	4	2	no	—
138	C₄²×C₁₃	—	4	2	no	—
139	C₄²×C₁₃	C₂×D₄	1	2	yes	—
140	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
141	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
142	C₄×#137	C₂×C₁₃	1	2	yes	—
143	C₂×#441	C₂×C₁₃	1	1	yes	characteristic, complemented
144	#2923	C₂×C₁₃	1	1	yes	characteristic
145	#2090	C₂×C₁₃	1	1	yes	characteristic, complemented
146	#2079	C₂×C₁₃	1	1	yes	characteristic
147	#2064	C₂×C₁₃	1	2	yes	complemented
148	#2052	C₂×C₁₃	1	2	yes	—
149	#2047	C₂×C₁₃	1	1	yes	characteristic, complemented
150	#2020	C₂×C₁₃	1	1	yes	characteristic
151	#1778	C₂×C₁₃	1	1	yes	characteristic, complemented
152	C₄×#101	C₂×C₁₃	1	2	yes	complemented
153	C₂³×C₁₃	—	2	1	no	—
154	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
155	Q₈×C₁₃	—	2	4	no	—
156	Q₈×C₁₃	—	2	4	no	—
157	Q₈×C₁₃	—	2	2	no	—
158	Q₈×C₁₃	—	4	2	no	—
159	Q₈×C₁₃	—	4	2	no	—
160	D₄×C₁₃	—	2	2	no	—
161	D₄×C₁₃	—	4	2	no	—
162	C₂×C₄×C₁₃	—	2	2	no	—
163	C₂×C₄×C₁₃	—	2	1	no	—
164	C₂×C₄×C₁₃	—	2	4	no	—
165	C₂×C₄×C₁₃	—	4	2	no	—
166	C₂×C₄×C₁₃	—	4	2	no	—
167	C₂×C₄×C₁₃	—	4	2	no	—
168	C₂×C₄×C₁₃	—	4	1	no	—
169	C₂×C₄×C₁₃	—	4	1	no	—
170	C₂×C₄×C₁₃	—	4	2	no	—
171	C₂×C₄×C₁₃	—	8	2	no	—
172	C₂×C₄×C₁₃	—	8	2	no	—
173	C₂×C₄×C₁₃	#121	1	2	yes	—
174	C₂×C₄×C₁₃	#121	1	2	yes	—
175	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
176	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
177	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
178	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
179	C₈×C₁₃	—	2	2	no	—
180	C₈×C₁₃	—	2	4	no	—
181	C₈×C₁₃	—	2	2	no	—
182	C₈×C₁₃	—	4	1	no	—
183	C₈×C₁₃	—	4	2	no	—
184	C₈×C₁₃	—	4	1	no	—
185	C₂×#137	C₂²×C₁₃	1	2	yes	—
186	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
187	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
188	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
189	#441	—	2	2	no	—
190	#441	—	2	2	no	—
191	#441	—	2	2	no	—
192	#440	—	2	2	no	—
193	C₄×Q₁₆	—	2	2	no	—
194	C₄×SD₁₆	—	2	2	no	—
195	#433	—	2	2	no	—
196	#432	—	2	2	no	—
197	C₂×#108	C₂²×C₁₃	1	2	yes	—
198	#428	C₂²×C₁₃	1	2	yes	—
199	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
200	#424	C₂²×C₁₃	1	1	yes	characteristic
201	#424	C₂²×C₁₃	1	1	yes	characteristic
202	#419	C₂²×C₁₃	1	2	yes	—
203	#417	C₂²×C₁₃	1	2	yes	—
204	C₂×#103	C₂²×C₁₃	1	2	yes	—
205	C₂×#101	C₂²×C₁₃	1	2	yes	—
206	C₂×#101	C₂²×C₁₃	1	2	yes	—
207	#408	C₂²×C₁₃	1	1	yes	characteristic
208	#408	C₂²×C₁₃	1	1	yes	characteristic
209	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
210	C₄×M₁₆	C₂²×C₁₃	1	2	yes	—
211	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
212	#343	C₂²×C₁₃	1	2	yes	—
213	#343	C₂²×C₁₃	1	2	yes	—
214	#341	C₂²×C₁₃	1	1	yes	characteristic
215	#341	C₂²×C₁₃	1	1	yes	characteristic
216	C₂²×C₁₃	—	2	2	no	—
217	C₂²×C₁₃	—	4	1	no	—
218	C₂²×C₁₃	—	4	2	no	—
219	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
220	C₂²×C₁₃	#529	1	2	yes	—
221	C₄×C₁₃	—	2	2	no	—
222	C₄×C₁₃	—	2	2	no	—
223	C₄×C₁₃	—	4	1	no	—
224	C₄×C₁₃	—	4	4	no	—
225	C₄×C₁₃	—	4	2	no	—
226	C₄×C₁₃	—	8	2	no	—
227	C₄×C₁₃	#525	1	1	yes	characteristic
228	C₄×C₁₃	#525	1	2	yes	—
229	C₄×C₁₃	#532	1	1	yes	characteristic
230	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
231	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
232	#137	—	2	4	no	—
233	#137	—	2	4	no	—
234	C₂×Q₁₆	—	2	2	no	—
235	C₂×Q₁₆	—	2	4	no	—
236	C₂×Q₁₆	—	2	2	no	—
237	C₂×SD₁₆	—	2	2	no	—
238	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
239	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
240	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
241	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
242	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
243	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
244	C₄×Q₈	—	2	2	no	—
245	C₄×Q₈	—	2	2	no	—
246	C₄×Q₈	—	2	2	no	—
247	C₄×Q₈	—	2	2	no	—
248	C₄×Q₈	D₄×C₁₃	1	2	yes	—
249	C₄×D₄	—	2	2	no	—
250	C₄×D₄	D₄×C₁₃	1	2	yes	—
251	#117	—	2	1	no	—
252	#117	C₂³×C₁₃	1	1	yes	characteristic
253	C₂×C₄⋊C₄	—	2	2	no	—
254	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
255	C₂×C₄²	—	2	1	no	—
256	C₂×C₄²	—	2	2	no	—
257	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
258	#108	—	2	4	no	—
259	#107	—	2	2	no	—
260	#106	—	2	2	no	—
261	#106	—	2	2	no	—
262	C₄⋊C₈	—	2	2	no	—
263	C₄⋊C₈	—	2	2	no	—
264	#103	—	2	2	no	—
265	#103	—	2	4	no	—
266	#103	—	2	2	no	—
267	#103	—	2	2	no	—
268	#102	—	2	2	no	—
269	#101	—	2	4	no	—
270	#101	—	2	4	no	—
271	C₂²⋊C₈	—	2	2	no	—
272	C₂²⋊C₈	—	2	2	no	—
273	#97	—	2	1	no	—
274	#97	—	2	2	no	—
275	#97	D₄×C₁₃	1	2	yes	—
276	#97	D₄×C₁₃	1	2	yes	—
277	C₄×C₈	—	2	1	no	—
278	C₄×C₈	—	2	2	no	—
279	C₂×C₁₃	—	2	2	no	—
280	C₂×C₁₃	—	8	1	no	—
281	C₂×C₁₃	#2392	1	1	yes	characteristic
282	C₂×C₁₃	#3069	1	2	yes	—
283	#41	—	2	2	no	—
284	#41	—	2	2	no	—
285	C₂×Q₈	—	2	2	no	—
286	C₂×Q₈	—	2	2	no	—
287	C₂×Q₈	—	2	2	no	—
288	C₂×Q₈	—	2	2	no	—
289	C₂×Q₈	—	2	2	no	—
290	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
291	C₂×Q₈	C₁₃×#41	1	4	yes	—
292	C₂×D₄	—	2	1	no	—
293	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
294	C₂²×C₄	—	2	2	no	—
295	C₂²×C₄	—	2	1	no	—
296	C₂²×C₄	—	2	2	no	—
297	C₂²×C₄	—	2	2	no	—
298	C₂²×C₄	C₁₃×#41	1	2	yes	—
299	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
300	Q₁₆	—	2	8	no	—
301	Q₁₆	—	2	8	no	—
302	SD₁₆	—	2	8	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	2	2	no	—
305	M₁₆	—	2	2	no	—
306	M₁₆	—	2	2	no	—
307	M₁₆	—	2	2	no	—
308	M₁₆	C₁₃×#41	1	4	yes	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	2	2	no	—
312	C₂×C₈	—	2	1	no	—
313	C₂×C₈	—	2	1	no	—
314	C₂×C₈	—	2	2	no	—
315	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
316	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	4	2	no	—
321	C₄⋊C₄	—	4	2	no	—
322	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
323	C₂²⋊C₄	—	2	1	no	—
324	C₂²⋊C₄	—	2	2	no	—
325	C₄²	—	2	2	no	—
326	C₄²	—	2	1	no	—
327	C₄²	—	4	2	no	—
328	C₄²	—	4	2	no	—
329	C₄²	C₂×D₄×C₁₃	1	2	yes	—
330	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
331	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
332	C₁₃	#23720	1	1	yes	characteristic, direct product factor, Sylow
333	C₂³	—	2	1	no	—
334	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
335	Q₈	—	2	4	no	—
336	Q₈	—	2	4	no	—
337	Q₈	—	2	2	no	—
338	Q₈	—	4	2	no	—
339	Q₈	—	4	2	no	—
340	D₄	—	2	2	no	—
341	D₄	—	4	2	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	4	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	8	2	no	—
352	C₂×C₄	—	8	2	no	—
353	C₂×C₄	C₁₃×#121	1	2	yes	—
354	C₂×C₄	C₁₃×#121	1	2	yes	—
355	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
356	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
357	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
358	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
359	C₈	—	2	2	no	—
360	C₈	—	2	4	no	—
361	C₈	—	2	2	no	—
362	C₈	—	4	1	no	—
363	C₈	—	4	2	no	—
364	C₈	—	4	1	no	—
365	C₂²	—	2	2	no	—
366	C₂²	—	4	2	no	—
367	C₂²	—	4	1	no	—
368	C₂²	C₂×C₁₃×#121	1	1	yes	characteristic
369	C₂²	C₁₃×#529	1	2	yes	—
370	C₄	—	2	2	no	—
371	C₄	—	2	2	no	—
372	C₄	—	4	2	no	—
373	C₄	—	4	1	no	—
374	C₄	—	4	4	no	—
375	C₄	—	8	2	no	—
376	C₄	C₁₃×#525	1	1	yes	characteristic
377	C₄	C₁₃×#525	1	2	yes	—
378	C₄	C₁₃×#532	1	1	yes	characteristic
379	C₂	—	2	2	no	—
380	C₂	—	8	1	no	—
381	C₂	C₁₃×#2392	1	1	yes	characteristic
382	C₂	C₁₃×#3069	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂×#121
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂×C₁₃×#41	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₃×#441	C₂	semidirect
4. C₁₃×#2090	C₂	semidirect
6. C₁₃×#2064	C₂	semidirect
8. C₁₃×#2047	C₂	semidirect
10. C₁₃×#1778	C₂	semidirect
11. C₄×C₁₃×#101	C₂	semidirect
92. #23720	C₁₃	direct (N × H)
143. C₂×#441	C₂×C₁₃	semidirect
145. #2090	C₂×C₁₃	semidirect
147. #2064	C₂×C₁₃	semidirect
149. #2047	C₂×C₁₃	semidirect
151. #1778	C₂×C₁₃	semidirect
152. C₄×#101	C₂×C₁₃	semidirect
332. C₁₃	#23720	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄×C₁₃×#137	2
C₂×C₁₃×#441	2
C₁₃×#2923	2
C₁₃×#2090	2
C₁₃×#2079	2
C₁₃×#2064	2
C₁₃×#2052	2
C₁₃×#2047	2
C₁₃×#2020	2
C₁₃×#1778	2
C₄×C₁₃×#101	2
#23720	13

Subgroups — C13×#23720 #15710059

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#23720 #15710059