Subgroups — C₁₃×#13319 #15699658

Order 3328.

572 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₃×D₁₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#472	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3058	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₃×#361	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2140	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#350	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1382	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×AGL(1,ℤ/8)	—	2	1	no	—
9	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
10	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
12	C₁₃×#535	—	2	1	no	—
13	C₂×C₁₃×D₁₆	—	2	2	no	—
14	C₂×C₁₃×D₁₆	—	2	2	no	—
15	C₂×C₁₃×D₁₆	—	2	2	no	—
16	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
18	C₁₃×#472	—	2	2	no	—
19	C₁₃×#472	—	2	2	no	—
20	C₁₃×#469	—	2	2	no	—
21	C₁₃×#466	—	2	2	no	—
22	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
23	C₁₃×#427	C₂²	1	1	yes	characteristic
24	C₁₃×#418	—	2	1	no	—
25	C₂×C₁₃×#100	—	2	1	no	—
26	C₁₃×#361	—	2	2	no	—
27	C₁₃×#357	—	2	2	no	—
28	C₁₃×#350	—	2	2	no	—
29	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
30	C₂²×D₄×C₁₃	—	2	1	no	—
31	C₂²×D₄×C₁₃	—	2	1	no	—
32	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
33	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
34	C₂×C₁₃×SD₁₆	—	4	1	no	—
35	C₂×C₁₃×D₈	—	2	1	no	—
36	C₂×C₁₃×D₈	—	2	1	no	—
37	C₂×C₁₃×D₈	—	2	1	no	—
38	C₂×C₁₃×D₈	—	2	1	no	—
39	C₂×C₁₃×D₈	—	2	1	no	—
40	C₂×C₁₃×D₈	—	2	1	no	—
41	C₂×C₁₃×D₈	—	2	1	no	—
42	C₂×C₁₃×D₈	—	2	1	no	—
43	C₂×C₁₃×D₈	—	2	1	no	—
44	C₂×C₁₃×D₈	—	2	1	no	—
45	C₂×C₁₃×D₈	—	4	1	no	—
46	C₂×C₁₃×D₈	D₄	1	2	yes	—
47	C₂×C₁₃×D₈	D₄	1	2	yes	complemented
48	C₁₃×#131	—	2	1	no	—
49	C₁₃×#131	—	2	1	no	—
50	C₁₃×#131	—	2	1	no	—
51	C₁₃×#131	—	2	1	no	—
52	C₂×C₁₃×M₁₆	—	2	1	no	—
53	C₂×C₁₃×M₁₆	—	2	1	no	—
54	C₂×C₁₃×M₁₆	D₄	1	1	yes	characteristic
55	C₂²×C₈×C₁₃	—	2	1	no	—
56	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
57	C₁₃×#127	—	4	1	no	—
58	C₁₃×#124	—	4	1	no	—
59	C₁₃×#121	—	2	4	no	—
60	C₁₃×#120	—	4	2	no	—
61	C₁₃×#117	—	2	1	no	—
62	C₁₃×D₁₆	—	2	8	no	—
63	C₁₃×M₃₂	—	2	1	no	—
64	C₁₃×M₃₂	—	2	1	no	—
65	C₂×C₁₃×C₁₆	—	2	1	no	—
66	C₂×C₁₃×C₁₆	—	2	1	no	—
67	C₂×C₁₃×C₁₆	—	2	1	no	—
68	C₂×C₁₃×C₁₆	D₄	1	2	yes	complemented
69	C₁₃×#108	—	2	1	no	—
70	C₁₃×#108	D₄	1	2	yes	complemented
71	C₁₃×#107	D₄	1	2	yes	—
72	C₁₃×#106	—	2	1	no	—
73	C₁₃×#102	—	2	4	no	—
74	C₁₃×#100	—	2	4	no	—
75	#13319	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
76	C₂⁴×C₁₃	—	4	1	no	—
77	C₂⁴×C₁₃	—	4	1	no	—
78	C₁₃×#41	—	2	1	no	—
79	C₁₃×#41	—	2	1	no	—
80	C₁₃×#41	—	2	1	no	—
81	C₁₃×#41	—	2	1	no	—
82	C₂×Q₈×C₁₃	D₈	1	1	yes	characteristic
83	C₂×D₄×C₁₃	—	2	1	no	—
84	C₂×D₄×C₁₃	—	2	2	no	—
85	C₂×D₄×C₁₃	—	2	2	no	—
86	C₂×D₄×C₁₃	—	4	4	no	—
87	C₂×D₄×C₁₃	—	4	1	no	—
88	C₂×D₄×C₁₃	—	4	1	no	—
89	C₂×D₄×C₁₃	—	4	1	no	—
90	C₂×D₄×C₁₃	—	4	1	no	—
91	C₂×D₄×C₁₃	—	4	1	no	—
92	C₂×D₄×C₁₃	—	4	1	no	—
93	C₂×D₄×C₁₃	—	4	1	no	—
94	C₂×D₄×C₁₃	—	4	1	no	—
95	C₂×D₄×C₁₃	—	4	1	no	—
96	C₂×D₄×C₁₃	—	4	1	no	—
97	C₂×D₄×C₁₃	D₈	1	1	yes	characteristic
98	C₂²×C₄×C₁₃	—	2	1	no	—
99	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
100	C₁₃×SD₁₆	—	4	4	no	—
101	C₁₃×D₈	—	2	2	no	—
102	C₁₃×D₈	—	2	2	no	—
103	C₁₃×D₈	—	2	2	no	—
104	C₁₃×D₈	—	2	2	no	—
105	C₁₃×D₈	—	4	4	no	—
106	C₁₃×D₈	—	4	1	no	—
107	C₁₃×D₈	—	4	1	no	—
108	C₁₃×D₈	—	4	1	no	—
109	C₁₃×D₈	—	4	1	no	—
110	C₁₃×M₁₆	—	2	1	no	—
111	C₁₃×M₁₆	—	2	2	no	—
112	C₁₃×M₁₆	—	2	1	no	—
113	C₁₃×M₁₆	—	4	1	no	—
114	C₁₃×M₁₆	—	4	1	no	—
115	C₁₃×M₁₆	—	4	1	no	—
116	C₂×C₈×C₁₃	—	2	1	no	—
117	C₂×C₈×C₁₃	—	4	1	no	—
118	C₂×C₈×C₁₃	—	4	1	no	—
119	C₂×C₈×C₁₃	—	4	1	no	—
120	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
123	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
124	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
125	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
126	C₁₃×C₄⋊C₄	—	2	2	no	—
127	C₁₃×C₂²⋊C₄	—	4	4	no	—
128	C₁₃×C₂²⋊C₄	—	4	1	no	—
129	C₄²×C₁₃	—	4	1	no	—
130	C₁₃×C₁₆	—	2	2	no	—
131	C₁₃×C₁₆	—	4	1	no	—
132	C₂²×D₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
133	C₂×#472	C₂×C₁₃	1	1	yes	characteristic, complemented
134	#3058	C₂×C₁₃	1	1	yes	characteristic, complemented
135	C₂×#361	C₂×C₁₃	1	1	yes	characteristic, complemented
136	#2140	C₂×C₁₃	1	1	yes	characteristic, complemented
137	C₂×#350	C₂×C₁₃	1	1	yes	characteristic, complemented
138	#1382	C₂×C₁₃	1	1	yes	characteristic, complemented
139	C₂³×C₁₃	—	2	1	no	—
140	C₂³×C₁₃	—	4	2	no	—
141	C₂³×C₁₃	—	4	2	no	—
142	C₂³×C₁₃	—	8	1	no	—
143	C₂³×C₁₃	—	8	1	no	—
144	C₂³×C₁₃	—	8	1	no	—
145	C₂³×C₁₃	—	8	1	no	—
146	C₂³×C₁₃	—	16	2	no	—
147	C₂³×C₁₃	—	16	2	no	—
148	C₂³×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
149	Q₈×C₁₃	—	2	1	no	—
150	Q₈×C₁₃	—	2	1	no	—
151	D₄×C₁₃	—	2	1	no	—
152	D₄×C₁₃	—	2	1	no	—
153	D₄×C₁₃	—	4	1	no	—
154	D₄×C₁₃	—	4	1	no	—
155	D₄×C₁₃	—	4	2	no	—
156	D₄×C₁₃	—	4	2	no	—
157	D₄×C₁₃	—	4	2	no	—
158	D₄×C₁₃	—	4	2	no	—
159	D₄×C₁₃	—	8	1	no	—
160	D₄×C₁₃	—	8	1	no	—
161	D₄×C₁₃	—	8	1	no	—
162	D₄×C₁₃	—	8	1	no	—
163	D₄×C₁₃	—	16	4	no	—
164	C₂×C₄×C₁₃	—	2	1	no	—
165	C₂×C₄×C₁₃	—	4	1	no	—
166	C₂×C₄×C₁₃	—	4	1	no	—
167	C₂×C₄×C₁₃	—	4	2	no	—
168	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
169	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
170	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
171	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
172	C₂×C₄×C₁₃	#135	1	1	yes	characteristic
173	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
174	C₈×C₁₃	—	4	1	no	—
175	C₈×C₁₃	—	4	2	no	—
176	C₈×C₁₃	#120	1	1	yes	characteristic
177	C₈×C₁₃	#121	1	1	yes	characteristic
178	C₈×C₁₃	#121	1	1	yes	characteristic
179	C₈×C₁₃	#127	1	1	yes	characteristic
180	C₂×AGL(1,ℤ/8)	—	2	1	no	—
181	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
182	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
183	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
184	#535	—	2	1	no	—
185	C₂×D₁₆	—	2	2	no	—
186	C₂×D₁₆	—	2	2	no	—
187	C₂×D₁₆	—	2	2	no	—
188	C₂×M₃₂	C₂²×C₁₃	1	1	yes	characteristic
189	C₂²×C₁₆	C₂²×C₁₃	1	1	yes	characteristic
190	#472	—	2	2	no	—
191	#472	—	2	2	no	—
192	#469	—	2	2	no	—
193	#466	—	2	2	no	—
194	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic
195	#427	C₂²×C₁₃	1	1	yes	characteristic
196	#418	—	2	1	no	—
197	C₂×#100	—	2	1	no	—
198	#361	—	2	2	no	—
199	#357	—	2	2	no	—
200	#350	—	2	2	no	—
201	C₂²×C₁₃	—	2	2	no	—
202	C₂²×C₁₃	—	4	2	no	—
203	C₂²×C₁₃	—	4	1	no	—
204	C₂²×C₁₃	—	8	4	no	—
205	C₂²×C₁₃	—	8	2	no	—
206	C₂²×C₁₃	—	8	2	no	—
207	C₂²×C₁₃	—	16	2	no	—
208	C₂²×C₁₃	—	16	2	no	—
209	C₂²×C₁₃	—	16	2	no	—
210	C₂²×C₁₃	—	16	2	no	—
211	C₂²×C₁₃	—	16	2	no	—
212	C₂²×C₁₃	#447	1	1	yes	characteristic
213	C₂²×C₁₃	#449	1	1	yes	characteristic
214	C₂²×C₁₃	#469	1	1	yes	characteristic
215	C₄×C₁₃	—	4	1	no	—
216	C₄×C₁₃	—	8	2	no	—
217	C₄×C₁₃	#392	1	1	yes	characteristic
218	C₄×C₁₃	#447	1	1	yes	characteristic
219	C₄×C₁₃	#449	1	1	yes	characteristic
220	C₄×C₁₃	#466	1	1	yes	characteristic
221	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
222	C₂²×D₄	—	2	1	no	—
223	C₂²×D₄	—	2	1	no	—
224	AGL(1,ℤ/8)	—	2	4	no	—
225	AGL(1,ℤ/8)	—	4	2	no	—
226	C₂×SD₁₆	—	4	1	no	—
227	C₂×D₈	—	2	1	no	—
228	C₂×D₈	—	2	1	no	—
229	C₂×D₈	—	2	1	no	—
230	C₂×D₈	—	2	1	no	—
231	C₂×D₈	—	2	1	no	—
232	C₂×D₈	—	2	1	no	—
233	C₂×D₈	—	2	1	no	—
234	C₂×D₈	—	2	1	no	—
235	C₂×D₈	—	2	1	no	—
236	C₂×D₈	—	2	1	no	—
237	C₂×D₈	—	4	1	no	—
238	C₂×D₈	D₄×C₁₃	1	2	yes	—
239	C₂×D₈	D₄×C₁₃	1	2	yes	complemented
240	#131	—	2	1	no	—
241	#131	—	2	1	no	—
242	#131	—	2	1	no	—
243	#131	—	2	1	no	—
244	C₂×M₁₆	—	2	1	no	—
245	C₂×M₁₆	—	2	1	no	—
246	C₂×M₁₆	D₄×C₁₃	1	1	yes	characteristic
247	C₂²×C₈	—	2	1	no	—
248	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
249	#127	—	4	1	no	—
250	#124	—	4	1	no	—
251	#121	—	2	4	no	—
252	#120	—	4	2	no	—
253	#117	—	2	1	no	—
254	D₁₆	—	2	8	no	—
255	M₃₂	—	2	1	no	—
256	M₃₂	—	2	1	no	—
257	C₂×C₁₆	—	2	1	no	—
258	C₂×C₁₆	—	2	1	no	—
259	C₂×C₁₆	—	2	1	no	—
260	C₂×C₁₆	D₄×C₁₃	1	2	yes	complemented
261	#108	—	2	1	no	—
262	#108	D₄×C₁₃	1	2	yes	complemented
263	#107	D₄×C₁₃	1	2	yes	—
264	#106	—	2	1	no	—
265	#102	—	2	4	no	—
266	#100	—	2	4	no	—
267	C₂×C₁₃	—	2	1	no	—
268	C₂×C₁₃	—	2	1	no	—
269	C₂×C₁₃	—	8	1	no	—
270	C₂×C₁₃	—	16	2	no	—
271	C₂×C₁₃	—	16	2	no	—
272	C₂×C₁₃	#1999	1	1	yes	characteristic
273	C₂×C₁₃	#2192	1	2	yes	—
274	C₂⁴	—	4	1	no	—
275	C₂⁴	—	4	1	no	—
276	#41	—	2	1	no	—
277	#41	—	2	1	no	—
278	#41	—	2	1	no	—
279	#41	—	2	1	no	—
280	C₂×Q₈	C₁₃×D₈	1	1	yes	characteristic
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	—	2	2	no	—
283	C₂×D₄	—	2	2	no	—
284	C₂×D₄	—	4	4	no	—
285	C₂×D₄	—	4	1	no	—
286	C₂×D₄	—	4	1	no	—
287	C₂×D₄	—	4	1	no	—
288	C₂×D₄	—	4	1	no	—
289	C₂×D₄	—	4	1	no	—
290	C₂×D₄	—	4	1	no	—
291	C₂×D₄	—	4	1	no	—
292	C₂×D₄	—	4	1	no	—
293	C₂×D₄	—	4	1	no	—
294	C₂×D₄	—	4	1	no	—
295	C₂×D₄	C₁₃×D₈	1	1	yes	characteristic
296	C₂²×C₄	—	2	1	no	—
297	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
298	SD₁₆	—	4	4	no	—
299	D₈	—	2	2	no	—
300	D₈	—	2	2	no	—
301	D₈	—	2	2	no	—
302	D₈	—	2	2	no	—
303	D₈	—	4	4	no	—
304	D₈	—	4	1	no	—
305	D₈	—	4	1	no	—
306	D₈	—	4	1	no	—
307	D₈	—	4	1	no	—
308	M₁₆	—	2	1	no	—
309	M₁₆	—	2	2	no	—
310	M₁₆	—	2	1	no	—
311	M₁₆	—	4	1	no	—
312	M₁₆	—	4	1	no	—
313	M₁₆	—	4	1	no	—
314	C₂×C₈	—	2	1	no	—
315	C₂×C₈	—	4	1	no	—
316	C₂×C₈	—	4	1	no	—
317	C₂×C₈	—	4	1	no	—
318	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
319	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
320	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
321	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
322	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
323	C₂×C₈	C₁₃×#41	1	1	yes	characteristic
324	C₄⋊C₄	—	2	2	no	—
325	C₂²⋊C₄	—	4	4	no	—
326	C₂²⋊C₄	—	4	1	no	—
327	C₄²	—	4	1	no	—
328	C₁₆	—	2	2	no	—
329	C₁₆	—	4	1	no	—
330	C₁₃	#13319	1	1	yes	characteristic, direct product factor, Sylow
331	C₂³	—	2	1	no	—
332	C₂³	—	4	2	no	—
333	C₂³	—	4	2	no	—
334	C₂³	—	8	1	no	—
335	C₂³	—	8	1	no	—
336	C₂³	—	8	1	no	—
337	C₂³	—	8	1	no	—
338	C₂³	—	16	2	no	—
339	C₂³	—	16	2	no	—
340	C₂³	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
341	Q₈	—	2	1	no	—
342	Q₈	—	2	1	no	—
343	D₄	—	2	1	no	—
344	D₄	—	2	1	no	—
345	D₄	—	4	1	no	—
346	D₄	—	4	1	no	—
347	D₄	—	4	2	no	—
348	D₄	—	4	2	no	—
349	D₄	—	4	2	no	—
350	D₄	—	4	2	no	—
351	D₄	—	8	1	no	—
352	D₄	—	8	1	no	—
353	D₄	—	8	1	no	—
354	D₄	—	8	1	no	—
355	D₄	—	16	4	no	—
356	C₂×C₄	—	2	1	no	—
357	C₂×C₄	—	4	1	no	—
358	C₂×C₄	—	4	1	no	—
359	C₂×C₄	—	4	2	no	—
360	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
361	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
362	C₂×C₄	C₁₃×#121	1	1	yes	characteristic
363	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
364	C₂×C₄	C₁₃×#135	1	1	yes	characteristic
365	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
366	C₈	—	4	1	no	—
367	C₈	—	4	2	no	—
368	C₈	C₁₃×#120	1	1	yes	characteristic
369	C₈	C₁₃×#121	1	1	yes	characteristic
370	C₈	C₁₃×#121	1	1	yes	characteristic
371	C₈	C₁₃×#127	1	1	yes	characteristic
372	C₂²	—	2	2	no	—
373	C₂²	—	4	1	no	—
374	C₂²	—	4	2	no	—
375	C₂²	—	8	2	no	—
376	C₂²	—	8	2	no	—
377	C₂²	—	8	4	no	—
378	C₂²	—	16	2	no	—
379	C₂²	—	16	2	no	—
380	C₂²	—	16	2	no	—
381	C₂²	—	16	2	no	—
382	C₂²	—	16	2	no	—
383	C₂²	C₁₃×#447	1	1	yes	characteristic
384	C₂²	C₁₃×#449	1	1	yes	characteristic
385	C₂²	C₁₃×#469	1	1	yes	characteristic
386	C₄	—	4	1	no	—
387	C₄	—	8	2	no	—
388	C₄	C₁₃×#392	1	1	yes	characteristic
389	C₄	C₁₃×#447	1	1	yes	characteristic
390	C₄	C₁₃×#449	1	1	yes	characteristic
391	C₄	C₁₃×#466	1	1	yes	characteristic
392	C₂	—	2	1	no	—
393	C₂	—	2	1	no	—
394	C₂	—	8	1	no	—
395	C₂	—	16	2	no	—
396	C₂	—	16	2	no	—
397	C₂	C₁₃×#1999	1	1	yes	characteristic
398	C₂	C₁₃×#2192	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	#447
commutator, Frattini, cosocle	C₂²×C₈	C₂³×C₁₃
LCS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂²×C₄×C₁₃ ◁ C₂×C₁₃×#131 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₃×D₁₆	C₂	semidirect
2. C₂×C₁₃×#472	C₂	semidirect
3. C₁₃×#3058	C₂	semidirect
4. C₂×C₁₃×#361	C₂	semidirect
5. C₁₃×#2140	C₂	semidirect
6. C₂×C₁₃×#350	C₂	semidirect
7. C₁₃×#1382	C₂	semidirect
47. C₂×C₁₃×D₈	D₄	semidirect
68. C₂×C₁₃×C₁₆	D₄	semidirect
70. C₁₃×#108	D₄	semidirect
75. #13319	C₁₃	direct (N × H)
132. C₂²×D₁₆	C₂×C₁₃	semidirect
133. C₂×#472	C₂×C₁₃	semidirect
134. #3058	C₂×C₁₃	semidirect
135. C₂×#361	C₂×C₁₃	semidirect
136. #2140	C₂×C₁₃	semidirect
137. C₂×#350	C₂×C₁₃	semidirect
138. #1382	C₂×C₁₃	semidirect
239. C₂×D₈	D₄×C₁₃	semidirect
260. C₂×C₁₆	D₄×C₁₃	semidirect
262. #108	D₄×C₁₃	semidirect
330. C₁₃	#13319	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₃×D₁₆	2
C₂×C₁₃×#472	2
C₁₃×#3058	2
C₂×C₁₃×#361	2
C₁₃×#2140	2
C₂×C₁₃×#350	2
C₁₃×#1382	2
#13319	13

Subgroups — C13×#13319 #15699658

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#13319 #15699658