Subgroups — C₂×#519×D₅₃ #28290674

Order 13568.

11230 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×Q₈×D₅₃	C₂	1	1	yes	maximal, characteristic
2	C₂×#16811101	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811100	C₂	1	6	yes	maximal, complemented
4	C₂×#16811099	C₂	1	8	yes	maximal, complemented
5	#519×D₅₃	C₂	1	32	yes	maximal, direct product factor
6	C₂×C₄×Q₈×D₅₃	C₂	1	8	yes	maximal, complemented
7	C₂×#117×D₅₃	C₂	1	6	yes	maximal
8	C₂×C₅₃×#519	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×Dic₁₀₆	C₂²	1	3	yes	—
10	C₂²×Q₈×D₅₃	C₄	1	32	yes	complemented
11	C₂²×Q₈×D₅₃	C₂²	1	4	yes	—
12	C₂²×Q₈×D₅₃	C₂²	1	16	yes	—
13	C₂²×Q₈×D₅₃	C₂²	1	4	yes	—
14	C₂³×C₄×D₅₃	C₂²	1	3	yes	—
15	#16811101	C₂²	1	16	yes	complemented
16	#16811100	C₂²	1	96	yes	complemented
17	#16811099	C₂²	1	128	yes	complemented
18	C₂×Q₈×Dic₅₃	C₂²	1	8	yes	complemented
19	C₂×C₄×Dic₁₀₆	C₂²	1	24	yes	complemented
20	C₂×#13133182	C₂²	1	24	yes	complemented
21	C₄×Q₈×D₅₃	C₂²	1	128	yes	complemented
22	C₂×#13133176	C₂²	1	6	yes	—
23	C₂×#13133175	C₂²	1	12	yes	—
24	C₂×#13133174	C₂²	1	12	yes	—
25	C₂×#13133173	C₂²	1	12	yes	—
26	#117×D₅₃	C₂²	1	96	yes	—
27	C₂×C₄⋊C₄×D₅₃	C₂²	1	12	yes	—
28	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	—
29	C₂×C₄²×D₅₃	C₂²	1	12	yes	—
30	C₂³×Q₈×C₅₃	C₂²	1	1	yes	characteristic
31	C₅₃×#519	C₂²	1	16	yes	complemented
32	C₂×C₄×Q₈×C₅₃	C₂²	1	8	yes	complemented
33	C₂×#117×C₅₃	C₂²	1	6	yes	—
34	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
35	C₂²×Dic₁₀₆	C₂×C₄	1	48	yes	complemented
36	C₂²×Dic₁₀₆	C₂³	1	12	yes	—
37	C₂²×Dic₁₀₆	C₂³	1	24	yes	—
38	C₂×Q₈×D₅₃	C₂×C₄	1	64	yes	—
39	C₂×Q₈×D₅₃	C₂×C₄	1	64	yes	complemented
40	C₂×Q₈×D₅₃	C₂×C₄	1	256	yes	complemented
41	C₂×Q₈×D₅₃	C₂³	1	32	yes	—
42	C₂×Q₈×D₅₃	C₂³	1	32	yes	—
43	C₂³×Dic₅₃	C₂³	1	3	yes	—
44	C₂²×C₄×D₅₃	C₂×C₄	1	48	yes	—
45	C₂²×C₄×D₅₃	C₂³	1	8	yes	—
46	C₂²×C₄×D₅₃	C₂³	1	6	yes	—
47	C₂²×C₄×D₅₃	C₂³	1	24	yes	—
48	C₂²×C₄×D₅₃	C₂³	1	6	yes	—
49	Q₈×Dic₅₃	C₂³	1	64	yes	complemented
50	C₄×Dic₁₀₆	C₂³	1	192	yes	complemented
51	#13133182	C₂³	1	192	yes	complemented
52	#13133176	C₂³	1	48	yes	—
53	#13133175	C₂³	1	96	yes	—
54	#13133174	C₂³	1	96	yes	—
55	#13133173	C₂³	1	96	yes	—
56	C₂×C₄⋊Dic₅₃	C₂³	1	12	yes	—
57	C₂×#11719919	C₂³	1	24	yes	—
58	C₄⋊C₄×D₅₃	C₂³	1	96	yes	—
59	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
60	C₂×#11719921	C₂³	1	8	yes	—
61	C₂²⋊C₄×D₅₃	C₂³	1	32	yes	—
62	C₂×C₄×Dic₅₃	C₂³	1	24	yes	—
63	C₂×C₄×Dic₅₃	C₂³	1	12	yes	—
64	C₄²×D₅₃	C₂³	1	96	yes	—
65	C₂²×Q₈×C₅₃	C₂×C₄	1	16	yes	complemented
66	C₂²×Q₈×C₅₃	C₂³	1	4	yes	—
67	C₂²×Q₈×C₅₃	C₂³	1	8	yes	—
68	C₂³×C₄×C₅₃	C₂³	1	3	yes	—
69	C₄×Q₈×C₅₃	C₂³	1	64	yes	complemented
70	#117×C₅₃	C₂³	1	48	yes	—
71	C₂×C₄⋊C₄×C₅₃	C₂³	1	12	yes	—
72	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
73	C₂×C₄²×C₅₃	C₂³	1	12	yes	—
74	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
75	C₂³×D₅₃	—	2	8	no	—
76	C₂³×D₅₃	C₂²×C₄	1	8	yes	—
77	C₂³×D₅₃	C₂⁴	1	4	yes	—
78	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
79	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
80	C₂×Q₈×C₅₃	C₂²×C₄	1	32	yes	—
81	C₂×Q₈×C₅₃	C₂²×C₄	1	64	yes	complemented
82	C₂×Q₈×C₅₃	C₂⁴	1	16	yes	—
83	C₂²×C₄×C₅₃	C₂²×C₄	1	24	yes	—
84	C₂²×C₄×C₅₃	C₂⁴	1	8	yes	—
85	C₂²×C₄×C₅₃	C₂⁴	1	6	yes	—
86	C₂²×C₄×C₅₃	C₂⁴	1	12	yes	—
87	C₂²×Dic₅₃	C₂²×C₄	1	24	yes	—
88	C₂²×Dic₅₃	C₂⁴	1	8	yes	—
89	C₂²×Dic₅₃	C₂⁴	1	6	yes	—
90	C₂²×Dic₅₃	C₂⁴	1	12	yes	—
91	Q₈×D₅₃	C₂²×C₄	1	256	yes	—
92	Q₈×D₅₃	C₂²×C₄	1	256	yes	complemented
93	C₂×C₄×D₅₃	—	2	32	no	—
94	C₂×C₄×D₅₃	C₂²×C₄	1	48	yes	—
95	C₂×C₄×D₅₃	C₂²×C₄	1	192	yes	—
96	C₂×C₄×D₅₃	C₂²×C₄	1	48	yes	—
97	C₂×C₄×D₅₃	C₂⁴	1	32	yes	—
98	C₂×C₄×D₅₃	C₂⁴	1	24	yes	—
99	C₂×C₄×D₅₃	C₂⁴	1	24	yes	—
100	C₂×Dic₁₀₆	C₂²×C₄	1	96	yes	—
101	C₂×Dic₁₀₆	C₂²×C₄	1	192	yes	complemented
102	C₂×Dic₁₀₆	C₂⁴	1	48	yes	—
103	C₄⋊C₄×C₅₃	C₂⁴	1	48	yes	—
104	C₂²⋊C₄×C₅₃	C₂⁴	1	16	yes	—
105	C₄²×C₅₃	C₂⁴	1	48	yes	—
106	C₂²⋊Dic₅₃	C₂⁴	1	16	yes	—
107	#11719921	C₂⁴	1	32	yes	—
108	C₄⋊Dic₅₃	C₂⁴	1	48	yes	—
109	#11719919	C₂⁴	1	96	yes	—
110	C₄×Dic₅₃	C₂⁴	1	96	yes	—
111	C₄×Dic₅₃	C₂⁴	1	48	yes	—
112	C₂³×C₅₃	—	2	4	no	—
113	C₂³×C₅₃	C₂³×C₄	1	4	yes	—
114	C₂³×C₅₃	C₂⁵	1	2	yes	—
115	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
116	C₂²×D₅₃	—	2	4	no	—
117	C₂²×D₅₃	—	2	32	no	—
118	C₂²×D₅₃	—	2	16	no	—
119	C₂²×D₅₃	C₂³×C₄	1	4	yes	—
120	C₂²×D₅₃	C₂³×C₄	1	16	yes	—
121	C₂²×D₅₃	C₂³×C₄	1	4	yes	—
122	C₂²×D₅₃	2₋¹⁺⁴	1	8	yes	—
123	C₂²×D₅₃	C₂⁵	1	2	yes	—
124	C₂²×D₅₃	C₂⁵	1	2	yes	—
125	Q₈×C₅₃	C₂³×C₄	1	64	yes	—
126	C₂×C₄×C₅₃	—	2	16	no	—
127	C₂×C₄×C₅₃	C₂³×C₄	1	24	yes	—
128	C₂×C₄×C₅₃	C₂³×C₄	1	48	yes	—
129	C₂×C₄×C₅₃	C₂⁵	1	16	yes	—
130	C₂×C₄×C₅₃	C₂⁵	1	12	yes	—
131	C₂×Dic₅₃	—	2	16	no	—
132	C₂×Dic₅₃	C₂³×C₄	1	24	yes	—
133	C₂×Dic₅₃	C₂³×C₄	1	48	yes	—
134	C₂×Dic₅₃	C₂⁵	1	16	yes	—
135	C₂×Dic₅₃	C₂⁵	1	12	yes	—
136	C₄×D₅₃	—	2	64	no	—
137	C₄×D₅₃	C₂³×C₄	1	96	yes	—
138	C₄×D₅₃	C₂³×C₄	1	96	yes	—
139	Dic₁₀₆	C₂³×C₄	1	192	yes	—
140	C₂²×#519	—	53	1	no	maximal, Sylow
141	C₂²×C₅₃	—	2	4	no	—
142	C₂²×C₅₃	—	2	8	no	—
143	C₂²×C₅₃	C₂⁴×C₄	1	4	yes	—
144	C₂²×C₅₃	C₂⁴×C₄	1	2	yes	—
145	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	4	yes	—
146	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
147	C₂×D₅₃	—	2	4	no	—
148	C₂×D₅₃	—	2	8	no	—
149	C₂×D₅₃	—	2	32	no	—
150	C₂×D₅₃	#519	1	16	yes	direct product factor
151	C₂×D₅₃	C₂⁴×C₄	1	4	yes	—
152	C₂×D₅₃	C₂⁴×C₄	1	4	yes	—
153	C₂×D₅₃	C₂×2₋¹⁺⁴	1	8	yes	—
154	C₄×C₅₃	—	2	16	no	—
155	C₄×C₅₃	C₂⁴×C₄	1	24	yes	—
156	Dic₅₃	—	2	16	no	—
157	Dic₅₃	C₂⁴×C₄	1	24	yes	—
158	C₂⁴×Q₈	—	53	1	no	—
159	C₂×#519	—	53	1	no	—
160	C₂×#519	—	53	32	no	—
161	C₂×#519	—	53	8	no	—
162	C₂×#519	—	53	6	no	—
163	C₂×#519	D₅₃	1	1	yes	characteristic, direct product factor
164	C₂²×C₄×Q₈	—	53	8	no	—
165	C₂²×#117	—	53	6	no	—
166	C₂×C₅₃	—	2	4	no	—
167	C₂×C₅₃	C₂×#519	1	4	yes	complemented
168	C₂×C₅₃	C₂⁵×C₄	1	1	yes	characteristic
169	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	2	yes	—
170	D₅₃	—	2	4	no	—
171	D₅₃	C₂×#519	1	8	yes	direct product factor
172	C₂³×Q₈	—	53	32	no	—
173	C₂³×Q₈	—	53	4	no	—
174	C₂³×Q₈	—	53	4	no	—
175	C₂³×Q₈	—	53	16	no	—
176	C₂³×Q₈	—	53	3	no	—
177	C₂³×Q₈	C₂×D₅₃	1	1	yes	characteristic
178	C₂⁴×C₄	—	53	3	no	—
179	#519	—	53	16	no	—
180	#519	—	53	128	no	—
181	#519	—	53	96	no	—
182	#519	C₂×D₅₃	1	16	yes	direct product factor
183	C₂×C₄×Q₈	—	53	8	no	—
184	C₂×C₄×Q₈	—	53	128	no	—
185	C₂×C₄×Q₈	—	53	24	no	—
186	C₂×C₄×Q₈	—	53	24	no	—
187	C₂×C₄×Q₈	C₂×D₅₃	1	8	yes	complemented
188	C₂×#117	—	53	6	no	—
189	C₂×#117	—	53	96	no	—
190	C₂×#117	—	53	12	no	—
191	C₂×#117	—	53	12	no	—
192	C₂×#117	—	53	12	no	—
193	C₂×#117	C₂×D₅₃	1	6	yes	—
194	C₂²×C₄⋊C₄	—	53	12	no	—
195	C₂²×C₂²⋊C₄	—	53	4	no	—
196	C₂²×C₄²	—	53	12	no	—
197	C₅₃	C₂²×#519	1	1	yes	characteristic, complemented, Sylow
198	C₂⁵	—	53	1	no	—
199	C₂²×Q₈	—	53	64	no	—
200	C₂²×Q₈	—	53	64	no	—
201	C₂²×Q₈	—	53	256	no	—
202	C₂²×Q₈	—	53	32	no	—
203	C₂²×Q₈	—	53	32	no	—
204	C₂²×Q₈	—	53	48	no	—
205	C₂²×Q₈	—	53	12	no	—
206	C₂²×Q₈	—	53	24	no	—
207	C₂²×Q₈	C₄×D₅₃	1	16	yes	complemented
208	C₂²×Q₈	C₂²×D₅₃	1	4	yes	—
209	C₂²×Q₈	C₂²×D₅₃	1	8	yes	—
210	C₂³×C₄	—	53	3	no	—
211	C₂³×C₄	—	53	48	no	—
212	C₂³×C₄	—	53	6	no	—
213	C₂³×C₄	—	53	24	no	—
214	C₂³×C₄	—	53	6	no	—
215	C₂³×C₄	—	53	8	no	—
216	C₂³×C₄	C₂²×D₅₃	1	3	yes	—
217	C₄×Q₈	—	53	64	no	—
218	C₄×Q₈	—	53	192	no	—
219	C₄×Q₈	—	53	192	no	—
220	C₄×Q₈	C₂²×D₅₃	1	64	yes	complemented
221	#117	—	53	48	no	—
222	#117	—	53	96	no	—
223	#117	—	53	96	no	—
224	#117	—	53	96	no	—
225	#117	C₂²×D₅₃	1	48	yes	—
226	C₂×C₄⋊C₄	—	53	24	no	—
227	C₂×C₄⋊C₄	—	53	12	no	—
228	C₂×C₄⋊C₄	—	53	96	no	—
229	C₂×C₄⋊C₄	C₂²×D₅₃	1	12	yes	—
230	C₂×C₂²⋊C₄	—	53	4	no	—
231	C₂×C₂²⋊C₄	—	53	8	no	—
232	C₂×C₂²⋊C₄	—	53	32	no	—
233	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
234	C₂×C₄²	—	53	24	no	—
235	C₂×C₄²	—	53	12	no	—
236	C₂×C₄²	—	53	96	no	—
237	C₂×C₄²	C₂²×D₅₃	1	12	yes	—
238	C₂⁴	—	53	1	no	—
239	C₂⁴	—	53	8	no	—
240	C₂⁴	—	53	4	no	—
241	C₂⁴	—	53	1	no	—
242	C₂⁴	—	106	8	no	—
243	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
244	C₂×Q₈	—	53	256	no	—
245	C₂×Q₈	—	53	256	no	—
246	C₂×Q₈	—	53	96	no	—
247	C₂×Q₈	—	53	192	no	—
248	C₂×Q₈	—	53	48	no	—
249	C₂×Q₈	C₂×C₄×D₅₃	1	32	yes	—
250	C₂×Q₈	C₂×C₄×D₅₃	1	64	yes	complemented
251	C₂×Q₈	C₂³×D₅₃	1	16	yes	—
252	C₂²×C₄	—	53	24	no	—
253	C₂²×C₄	—	53	12	no	—
254	C₂²×C₄	—	53	6	no	—
255	C₂²×C₄	—	53	48	no	—
256	C₂²×C₄	—	53	48	no	—
257	C₂²×C₄	—	53	192	no	—
258	C₂²×C₄	—	53	24	no	—
259	C₂²×C₄	—	53	24	no	—
260	C₂²×C₄	—	53	8	no	—
261	C₂²×C₄	—	53	32	no	—
262	C₂²×C₄	—	106	32	no	—
263	C₂²×C₄	C₂×C₄×D₅₃	1	24	yes	—
264	C₂²×C₄	C₂³×D₅₃	1	8	yes	—
265	C₂²×C₄	C₂³×D₅₃	1	12	yes	—
266	C₂²×C₄	C₂³×D₅₃	1	6	yes	—
267	C₄⋊C₄	—	53	96	no	—
268	C₄⋊C₄	—	53	48	no	—
269	C₄⋊C₄	C₂³×D₅₃	1	48	yes	—
270	C₂²⋊C₄	—	53	16	no	—
271	C₂²⋊C₄	—	53	32	no	—
272	C₂²⋊C₄	C₂³×D₅₃	1	16	yes	—
273	C₄²	—	53	96	no	—
274	C₄²	—	53	48	no	—
275	C₄²	C₂³×D₅₃	1	48	yes	—
276	C₂³	—	2	4	no	—
277	C₂³	—	53	4	no	—
278	C₂³	—	53	8	no	—
279	C₂³	—	53	2	no	—
280	C₂³	—	53	16	no	—
281	C₂³	—	53	4	no	—
282	C₂³	—	53	2	no	—
283	C₂³	—	106	32	no	—
284	C₂³	—	106	16	no	—
285	C₂³	—	106	4	no	—
286	C₂³	C₂²×C₄×D₅₃	1	4	yes	—
287	C₂³	C₂⁴×D₅₃	1	2	yes	—
288	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
289	Q₈	—	53	192	no	—
290	Q₈	C₂²×C₄×D₅₃	1	64	yes	—
291	C₂×C₄	—	2	16	no	—
292	C₂×C₄	—	53	48	no	—
293	C₂×C₄	—	53	24	no	—
294	C₂×C₄	—	53	12	no	—
295	C₂×C₄	—	53	96	no	—
296	C₂×C₄	—	53	96	no	—
297	C₂×C₄	—	53	16	no	—
298	C₂×C₄	—	106	64	no	—
299	C₂×C₄	—	106	16	no	—
300	C₂×C₄	C₂²×C₄×D₅₃	1	24	yes	—
301	C₂×C₄	C₂²×C₄×D₅₃	1	48	yes	—
302	C₂×C₄	C₂⁴×D₅₃	1	16	yes	—
303	C₂×C₄	C₂⁴×D₅₃	1	12	yes	—
304	C₂²	—	2	8	no	—
305	C₂²	—	2	4	no	—
306	C₂²	—	53	16	no	—
307	C₂²	—	53	4	no	—
308	C₂²	—	53	8	no	—
309	C₂²	—	53	4	no	—
310	C₂²	—	106	32	no	—
311	C₂²	—	106	8	no	—
312	C₂²	—	106	4	no	—
313	C₂²	C₂³×C₄×D₅₃	1	4	yes	—
314	C₂²	C₂³×C₄×D₅₃	1	2	yes	—
315	C₂²	2₋¹⁺⁴×D₅₃	1	4	yes	—
316	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
317	C₄	—	2	16	no	—
318	C₄	—	53	24	no	—
319	C₄	—	106	16	no	—
320	C₄	C₂³×C₄×D₅₃	1	24	yes	—
321	C₂	—	2	4	no	—
322	C₂	—	53	8	no	—
323	C₂	—	106	4	no	—
324	C₂	#519×D₅₃	1	4	yes	direct product factor
325	C₂	C₂⁴×C₄×D₅₃	1	1	yes	characteristic
326	C₂	C₂×2₋¹⁺⁴×D₅₃	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator	C₂×C₅₃	C₂⁵×C₄
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#519	C₂
socle	C₂³×C₅₃	C₂⁵
prime radical	C₂⁴×D₅₃	C₂³
cosocle	C₂²×C₅₃	C₂⁶
hypercenter	C₂×#519	D₅₃
hypocenter	C₅₃	C₂²×#519
LCS	G ▷ C₂×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#519

Complements

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

N	H ≅ G/N	type
2. C₂×#16811101	C₂	semidirect
3. C₂×#16811100	C₂	semidirect
4. C₂×#16811099	C₂	semidirect
5. #519×D₅₃	C₂	direct (N × H)
6. C₂×C₄×Q₈×D₅₃	C₂	semidirect
8. C₂×C₅₃×#519	C₂	semidirect
10. C₂²×Q₈×D₅₃	C₄	semidirect
15. #16811101	C₂²	semidirect
16. #16811100	C₂²	semidirect
17. #16811099	C₂²	semidirect
18. C₂×Q₈×Dic₅₃	C₂²	semidirect
19. C₂×C₄×Dic₁₀₆	C₂²	semidirect
20. C₂×#13133182	C₂²	semidirect
21. C₄×Q₈×D₅₃	C₂²	semidirect
31. C₅₃×#519	C₂²	semidirect
32. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
35. C₂²×Dic₁₀₆	C₂×C₄	semidirect
39. C₂×Q₈×D₅₃	C₂×C₄	semidirect
40. C₂×Q₈×D₅₃	C₂×C₄	semidirect
49. Q₈×Dic₅₃	C₂³	semidirect
50. C₄×Dic₁₀₆	C₂³	semidirect
51. #13133182	C₂³	semidirect
65. C₂²×Q₈×C₅₃	C₂×C₄	semidirect
69. C₄×Q₈×C₅₃	C₂³	semidirect
81. C₂×Q₈×C₅₃	C₂²×C₄	semidirect
92. Q₈×D₅₃	C₂²×C₄	semidirect
101. C₂×Dic₁₀₆	C₂²×C₄	semidirect
150. C₂×D₅₃	#519	direct (N × H)
163. C₂×#519	D₅₃	direct (N × H)
167. C₂×C₅₃	C₂×#519	semidirect
171. D₅₃	C₂×#519	direct (N × H)
182. #519	C₂×D₅₃	direct (N × H)
187. C₂×C₄×Q₈	C₂×D₅₃	semidirect
197. C₅₃	C₂²×#519	semidirect
207. C₂²×Q₈	C₄×D₅₃	semidirect
220. C₄×Q₈	C₂²×D₅₃	semidirect
250. C₂×Q₈	C₂×C₄×D₅₃	semidirect
324. C₂	#519×D₅₃	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×Q₈×D₅₃	2
C₂×#16811101	2
C₂×#16811100	2
C₂×#16811099	2
#519×D₅₃	2
C₂×C₄×Q₈×D₅₃	2
C₂×#117×D₅₃	2
C₂×C₅₃×#519	2
C₂²×#519	53

Subgroups — C2×#519×D53 #28290674

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#519×D₅₃ #28290674