Subgroups — C₂×D₁₃×#500 #16732514

Order 3328.

2398 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×C₄⋊Q₈	C₂	1	2	yes	maximal
2	C₂×#11718343	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11718535	C₂	1	4	yes	maximal, complemented
4	C₂×#11718739	C₂	1	2	yes	maximal, complemented
5	D₁₃×#500	C₂	1	16	yes	maximal, direct product factor
6	C₂×D₁₃×#107	C₂	1	4	yes	maximal
7	C₂×C₄×C₈×D₁₃	C₂	1	1	yes	maximal, characteristic
8	C₂×C₁₃×#500	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×Q₈×D₁₃	—	2	2	no	—
10	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
11	C₂×#88198	—	2	2	no	—
12	C₂²×C₈×D₁₃	C₂²	1	2	yes	—
13	D₁₃×C₄⋊Q₈	—	2	8	no	—
14	D₁₃×C₄⋊Q₈	C₂²	1	16	yes	—
15	C₂×C₄⋊C₄×D₁₃	—	2	2	no	—
16	C₂×C₄⋊C₄×D₁₃	C₂²	1	4	yes	—
17	C₂×#88142	—	2	2	no	—
18	C₂×#88142	C₂²	1	4	yes	—
19	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
20	C₂×#88123	C₂²	1	2	yes	—
21	C₁₃×#500	C₂²	1	8	yes	complemented
22	C₂×C₁₃×#107	C₂²	1	4	yes	—
23	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
24	C₂×#88058	C₂²	1	4	yes	—
25	C₂×C₈×Dic₁₃	C₂²	1	2	yes	—
26	#11718739	C₂²	1	16	yes	complemented
27	C₂×#88047	C₂²	1	8	yes	—
28	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
29	D₁₃×#107	C₂²	1	32	yes	—
30	#11718535	C₂²	1	32	yes	complemented
31	C₄×C₈×D₁₃	C₂²	1	8	yes	—
32	#11718343	C₂²	1	8	yes	complemented
33	C₂²×Q₈×C₁₃	—	2	2	no	—
34	C₂×Q₈×D₁₃	—	2	16	no	—
35	C₂×Q₈×D₁₃	—	4	16	no	—
36	C₂²×C₄×D₁₃	—	2	4	no	—
37	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
38	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
39	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
40	C₂²×Dic₂₆	—	2	2	no	—
41	C₂²×Dic₂₆	—	2	4	no	—
42	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
43	C₁₃×C₄⋊Q₈	—	2	4	no	—
44	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
45	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
46	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
47	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
48	#88198	—	2	16	no	—
49	C₂×C₄⋊Dic₁₃	—	2	2	no	—
50	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	—
51	C₂×#6101	—	2	4	no	—
52	C₂×#6101	—	2	4	no	—
53	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
54	C₂×C₄×Dic₁₃	D₄	1	1	yes	characteristic
55	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
56	C₂²×#1055	C₂³	1	2	yes	—
57	C₂×C₈×D₁₃	Q₈	1	16	yes	complemented
58	C₂×C₈×D₁₃	C₂³	1	8	yes	—
59	C₄⋊C₄×D₁₃	—	2	8	no	—
60	C₄⋊C₄×D₁₃	—	2	16	no	—
61	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
62	#88142	—	2	8	no	—
63	#88142	—	2	16	no	—
64	#88142	C₂³	1	16	yes	—
65	C₄²×D₁₃	D₄	1	4	yes	—
66	C₄²×D₁₃	C₂³	1	4	yes	—
67	#88123	—	2	4	no	—
68	#88123	C₂³	1	8	yes	—
69	C₁₃×#107	C₂³	1	16	yes	—
70	C₄×C₈×C₁₃	C₂³	1	4	yes	—
71	#88058	C₂³	1	16	yes	—
72	C₈×Dic₁₃	C₂³	1	8	yes	—
73	#88047	C₂³	1	32	yes	—
74	C₄×#1055	C₂³	1	4	yes	—
75	C₂²×#500	—	13	1	no	maximal, Sylow
76	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
77	C₂×Q₈×C₁₃	—	2	8	no	—
78	C₂×Q₈×C₁₃	—	4	8	no	—
79	C₂²×C₄×C₁₃	—	2	4	no	—
80	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
83	C₂²×Dic₁₃	—	2	4	no	—
84	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
85	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
86	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
87	Q₈×D₁₃	—	4	64	no	—
88	C₂×C₄×D₁₃	—	2	16	no	—
89	C₂×C₄×D₁₃	—	4	16	no	—
90	C₂×C₄×D₁₃	D₈	1	8	yes	—
91	C₂×C₄×D₁₃	Q₁₆	1	8	yes	—
92	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
93	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
94	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
95	C₂×C₄×D₁₃	C₂×Q₈	1	8	yes	—
96	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
97	C₂×Dic₂₆	—	2	8	no	—
98	C₂×Dic₂₆	—	2	16	no	—
99	C₂×Dic₂₆	—	4	8	no	—
100	C₂×Dic₂₆	—	4	16	no	—
101	C₂×C₈×C₁₃	C₂×Q₈	1	8	yes	complemented
102	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
103	C₁₃×C₄⋊C₄	—	2	8	no	—
104	C₁₃×C₄⋊C₄	—	2	4	no	—
105	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
106	C₄²×C₁₃	C₂×D₄	1	2	yes	—
107	C₄²×C₁₃	C₂⁴	1	2	yes	—
108	C₄⋊Dic₁₃	—	2	4	no	—
109	C₄⋊Dic₁₃	—	2	8	no	—
110	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
111	#6101	—	2	16	no	—
112	#6101	—	2	16	no	—
113	C₄×Dic₁₃	C₂×D₄	1	2	yes	—
114	C₄×Dic₁₃	C₂×D₄	1	4	yes	—
115	C₄×Dic₁₃	C₂×D₄	1	4	yes	—
116	C₄×Dic₁₃	C₂⁴	1	2	yes	—
117	C₂×#1055	C₂×Q₈	1	8	yes	complemented
118	C₂×#1055	C₂⁴	1	4	yes	—
119	C₈×D₁₃	C₂×Q₈	1	32	yes	complemented
120	C₂²×C₄⋊Q₈	—	13	2	no	—
121	C₂×#500	—	13	16	no	—
122	C₂×#500	—	13	4	no	—
123	C₂×#500	—	13	1	no	—
124	C₂×#500	—	13	2	no	—
125	C₂×#500	D₁₃	1	1	yes	characteristic, direct product factor
126	C₂²×#107	—	13	4	no	—
127	C₂²×C₄×C₈	—	13	1	no	—
128	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
129	C₂²×D₁₃	C₄⋊Q₈	1	4	yes	—
130	C₂²×D₁₃	C₂×D₈	1	4	yes	—
131	C₂²×D₁₃	C₂×Q₁₆	1	4	yes	—
132	C₂²×D₁₃	C₂²×D₄	1	2	yes	—
133	Q₈×C₁₃	—	4	16	no	—
134	C₂×C₄×C₁₃	—	2	8	no	—
135	C₂×C₄×C₁₃	—	4	8	no	—
136	C₂×C₄×C₁₃	C₂×D₈	1	4	yes	—
137	C₂×C₄×C₁₃	C₂×Q₁₆	1	4	yes	—
138	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
140	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
141	C₂×C₄×C₁₃	C₂²×Q₈	1	4	yes	—
142	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
143	C₂×Dic₁₃	—	2	8	no	—
144	C₂×Dic₁₃	—	4	8	no	—
145	C₂×Dic₁₃	C₄⋊Q₈	1	4	yes	—
146	C₂×Dic₁₃	C₂×D₈	1	4	yes	—
147	C₂×Dic₁₃	C₂×Q₁₆	1	4	yes	—
148	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
149	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
150	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
151	C₄×D₁₃	—	4	32	no	—
152	C₄×D₁₃	C₄⋊Q₈	1	8	yes	—
153	C₄×D₁₃	C₂×D₈	1	16	yes	—
154	C₄×D₁₃	C₂×Q₁₆	1	16	yes	—
155	C₄×D₁₃	C₂²×Q₈	1	8	yes	—
156	Dic₂₆	—	4	16	no	—
157	Dic₂₆	—	4	32	no	—
158	C₈×C₁₃	C₂²×Q₈	1	8	yes	complemented
159	#1055	C₂²×Q₈	1	8	yes	complemented
160	C₂³×Q₈	—	26	2	no	—
161	C₂³×C₈	—	13	2	no	—
162	C₂×C₄⋊Q₈	—	13	16	no	—
163	C₂×C₄⋊Q₈	—	13	4	no	—
164	C₂×C₄⋊Q₈	—	13	2	no	—
165	C₂×C₄⋊Q₈	—	26	2	no	—
166	C₂×C₄⋊Q₈	—	26	8	no	—
167	C₂×C₄⋊Q₈	—	26	2	no	—
168	C₂×C₄⋊Q₈	C₂×D₁₃	1	2	yes	—
169	C₂²×C₄⋊C₄	—	13	4	no	—
170	C₂²×C₄⋊C₄	—	26	2	no	—
171	C₂²×C₄²	—	13	1	no	—
172	#500	—	13	16	no	—
173	#500	—	13	32	no	—
174	#500	—	13	8	no	—
175	#500	C₂×D₁₃	1	8	yes	direct product factor
176	C₂×#107	—	13	4	no	—
177	C₂×#107	—	13	8	no	—
178	C₂×#107	—	13	32	no	—
179	C₂×#107	C₂×D₁₃	1	4	yes	—
180	C₂×C₄×C₈	—	13	2	no	—
181	C₂×C₄×C₈	—	13	1	no	—
182	C₂×C₄×C₈	—	13	8	no	—
183	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
184	C₂²×C₁₃	C₂×C₄⋊Q₈	1	2	yes	—
185	C₂²×C₁₃	C₂²×D₈	1	2	yes	—
186	C₂²×C₁₃	C₂²×Q₁₆	1	2	yes	—
187	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
188	C₂×D₁₃	#500	1	16	yes	direct product factor
189	C₂×D₁₃	C₂×C₄⋊Q₈	1	4	yes	—
190	C₂×D₁₃	C₂²×D₈	1	4	yes	—
191	C₂×D₁₃	C₂²×Q₁₆	1	4	yes	—
192	C₄×C₁₃	—	4	8	no	—
193	C₄×C₁₃	C₂×C₄⋊Q₈	1	2	yes	—
194	C₄×C₁₃	C₂²×D₈	1	4	yes	—
195	C₄×C₁₃	C₂²×Q₁₆	1	4	yes	—
196	C₄×C₁₃	C₂³×Q₈	1	2	yes	—
197	Dic₁₃	—	4	8	no	—
198	Dic₁₃	C₂×C₄⋊Q₈	1	4	yes	—
199	Dic₁₃	C₂²×D₈	1	4	yes	—
200	Dic₁₃	C₂²×Q₁₆	1	4	yes	—
201	C₂²×Q₈	—	2	2	no	—
202	C₂²×Q₈	—	26	4	no	—
203	C₂²×Q₈	—	26	16	no	—
204	C₂²×Q₈	—	26	2	no	—
205	C₂²×Q₈	—	52	16	no	—
206	C₂³×C₄	—	13	1	no	—
207	C₂³×C₄	—	13	1	no	—
208	C₂³×C₄	—	13	1	no	—
209	C₂³×C₄	—	26	4	no	—
210	C₂²×C₈	—	13	2	no	—
211	C₂²×C₈	—	13	16	no	—
212	C₂²×C₈	—	13	8	no	—
213	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
214	C₄⋊Q₈	—	2	4	no	—
215	C₄⋊Q₈	—	13	16	no	—
216	C₄⋊Q₈	—	13	8	no	—
217	C₄⋊Q₈	—	26	16	no	—
218	C₄⋊Q₈	—	26	8	no	—
219	C₄⋊Q₈	—	26	16	no	—
220	C₄⋊Q₈	—	26	4	no	—
221	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	—
222	C₂×C₄⋊C₄	—	2	2	no	—
223	C₂×C₄⋊C₄	—	13	4	no	—
224	C₂×C₄⋊C₄	—	13	16	no	—
225	C₂×C₄⋊C₄	—	26	8	no	—
226	C₂×C₄⋊C₄	—	26	16	no	—
227	C₂×C₄⋊C₄	—	26	4	no	—
228	C₂×C₄⋊C₄	—	26	4	no	—
229	C₂×C₄⋊C₄	—	26	2	no	—
230	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	—
231	C₂×C₄²	—	13	1	no	—
232	C₂×C₄²	—	13	1	no	—
233	C₂×C₄²	—	13	1	no	—
234	C₂×C₄²	—	13	4	no	—
235	C₂×C₄²	—	13	4	no	—
236	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
237	#107	—	13	16	no	—
238	#107	—	13	32	no	—
239	#107	C₂²×D₁₃	1	16	yes	—
240	C₄×C₈	—	13	8	no	—
241	C₄×C₈	—	13	4	no	—
242	C₄×C₈	C₂²×D₁₃	1	4	yes	—
243	C₂×C₁₃	C₂×#500	1	4	yes	complemented
244	C₂×C₁₃	C₂²×C₄⋊Q₈	1	1	yes	characteristic
245	C₂×C₁₃	C₂³×D₈	1	1	yes	characteristic
246	C₂×C₁₃	C₂³×Q₁₆	1	1	yes	characteristic
247	D₁₃	C₂×#500	1	8	yes	direct product factor
248	C₂⁴	—	13	1	no	—
249	C₂×Q₈	—	2	8	no	—
250	C₂×Q₈	—	4	8	no	—
251	C₂×Q₈	—	26	16	no	—
252	C₂×Q₈	—	26	8	no	—
253	C₂×Q₈	—	52	16	no	—
254	C₂×Q₈	—	52	64	no	—
255	C₂×Q₈	—	52	8	no	—
256	C₂²×C₄	—	2	4	no	—
257	C₂²×C₄	—	13	1	no	—
258	C₂²×C₄	—	13	1	no	—
259	C₂²×C₄	—	13	1	no	—
260	C₂²×C₄	—	13	8	no	—
261	C₂²×C₄	—	13	8	no	—
262	C₂²×C₄	—	13	2	no	—
263	C₂²×C₄	—	13	4	no	—
264	C₂²×C₄	—	13	4	no	—
265	C₂²×C₄	—	13	8	no	—
266	C₂²×C₄	—	13	2	no	—
267	C₂²×C₄	—	26	16	no	—
268	C₂²×C₄	—	26	4	no	—
269	C₂²×C₄	—	52	16	no	—
270	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
271	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
272	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
273	C₂×C₈	—	13	8	no	—
274	C₂×C₈	—	13	4	no	—
275	C₂×C₈	—	13	32	no	—
276	C₂×C₈	Q₈×D₁₃	1	8	yes	complemented
277	C₂×C₈	C₂³×D₁₃	1	4	yes	—
278	C₄⋊C₄	—	2	8	no	—
279	C₄⋊C₄	—	2	4	no	—
280	C₄⋊C₄	—	13	8	no	—
281	C₄⋊C₄	—	26	16	no	—
282	C₄⋊C₄	—	26	16	no	—
283	C₄⋊C₄	—	26	4	no	—
284	C₄⋊C₄	—	26	8	no	—
285	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
286	C₄²	—	13	4	no	—
287	C₄²	—	13	2	no	—
288	C₄²	—	13	4	no	—
289	C₄²	—	13	2	no	—
290	C₄²	D₄×D₁₃	1	2	yes	—
291	C₄²	C₂³×D₁₃	1	2	yes	—
292	C₁₃	C₂²×#500	1	1	yes	characteristic, complemented, Sylow
293	C₂³	—	13	4	no	—
294	C₂³	—	13	4	no	—
295	C₂³	—	13	4	no	—
296	C₂³	—	13	2	no	—
297	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
298	Q₈	—	4	16	no	—
299	Q₈	—	52	32	no	—
300	Q₈	—	52	16	no	—
301	C₂×C₄	—	2	8	no	—
302	C₂×C₄	—	4	8	no	—
303	C₂×C₄	—	13	4	no	—
304	C₂×C₄	—	13	4	no	—
305	C₂×C₄	—	13	4	no	—
306	C₂×C₄	—	13	2	no	—
307	C₂×C₄	—	13	2	no	—
308	C₂×C₄	—	13	2	no	—
309	C₂×C₄	—	13	8	no	—
310	C₂×C₄	—	13	16	no	—
311	C₂×C₄	—	13	16	no	—
312	C₂×C₄	—	13	8	no	—
313	C₂×C₄	—	26	8	no	—
314	C₂×C₄	—	52	32	no	—
315	C₂×C₄	—	52	8	no	—
316	C₂×C₄	D₈×D₁₃	1	4	yes	—
317	C₂×C₄	Q₁₆×D₁₃	1	4	yes	—
318	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
319	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
320	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
321	C₂×C₄	C₂×Q₈×D₁₃	1	4	yes	—
322	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
323	C₈	—	13	8	no	—
324	C₈	C₂×Q₈×D₁₃	1	8	yes	complemented
325	C₂²	—	13	4	no	—
326	C₂²	—	13	4	no	—
327	C₂²	—	13	4	no	—
328	C₂²	—	13	16	no	—
329	C₂²	D₁₃×C₄⋊Q₈	1	2	yes	—
330	C₂²	C₂×D₈×D₁₃	1	2	yes	—
331	C₂²	C₂×Q₁₆×D₁₃	1	2	yes	—
332	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
333	C₄	—	4	8	no	—
334	C₄	—	13	4	no	—
335	C₄	—	13	4	no	—
336	C₄	—	13	4	no	—
337	C₄	—	52	8	no	—
338	C₄	D₁₃×C₄⋊Q₈	1	2	yes	—
339	C₄	C₂×D₈×D₁₃	1	4	yes	—
340	C₄	C₂×Q₁₆×D₁₃	1	4	yes	—
341	C₄	C₂²×Q₈×D₁₃	1	2	yes	—
342	C₂	—	13	8	no	—
343	C₂	D₁₃×#500	1	4	yes	direct product factor
344	C₂	C₂×D₁₃×C₄⋊Q₈	1	1	yes	characteristic
345	C₂	C₂²×D₈×D₁₃	1	1	yes	characteristic
346	C₂	C₂²×Q₁₆×D₁₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₂×C₁₃×#500	C₂
socle	C₂³×C₁₃	C₂²×D₄
prime radical	C₂³×D₁₃	C₂×D₄
hypercenter	C₂×#500	D₁₃
hypocenter	C₁₃	C₂²×#500
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#500

Complements

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

N	H ≅ G/N	type
2. C₂×#11718343	C₂	semidirect
3. C₂×#11718535	C₂	semidirect
4. C₂×#11718739	C₂	semidirect
5. D₁₃×#500	C₂	direct (N × H)
8. C₂×C₁₃×#500	C₂	semidirect
21. C₁₃×#500	C₂²	semidirect
26. #11718739	C₂²	semidirect
30. #11718535	C₂²	semidirect
32. #11718343	C₂²	semidirect
57. C₂×C₈×D₁₃	Q₈	semidirect
101. C₂×C₈×C₁₃	C₂×Q₈	semidirect
117. C₂×#1055	C₂×Q₈	semidirect
119. C₈×D₁₃	C₂×Q₈	semidirect
125. C₂×#500	D₁₃	direct (N × H)
158. C₈×C₁₃	C₂²×Q₈	semidirect
159. #1055	C₂²×Q₈	semidirect
175. #500	C₂×D₁₃	direct (N × H)
188. C₂×D₁₃	#500	direct (N × H)
243. C₂×C₁₃	C₂×#500	semidirect
247. D₁₃	C₂×#500	direct (N × H)
276. C₂×C₈	Q₈×D₁₃	semidirect
292. C₁₃	C₂²×#500	semidirect
324. C₈	C₂×Q₈×D₁₃	semidirect
343. C₂	D₁₃×#500	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×D₁₃×C₄⋊Q₈	2
C₂×#11718343	2
C₂×#11718535	2
C₂×#11718739	2
D₁₃×#500	2
C₂×D₁₃×#107	2
C₂×C₄×C₈×D₁₃	2
C₂×C₁₃×#500	2
C₂²×#500	13

Subgroups — C2×D13×#500 #16732514

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₁₃×#500 #16732514