Subgroups — C₅₃×#36769 #27244281

Order 13568.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#2854	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#2851	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2801	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2797	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2787	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2782	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2781	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2779	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2772	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2772	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2765	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2761	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2753	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2746	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2719	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2711	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2711	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2688	C₂	1	1	yes	maximal, characteristic
19	C₅₃×#2630	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2630	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2597	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2596	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#2576	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#2575	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#2531	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2528	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2476	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#2475	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic
33	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic
34	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
35	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
36	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
37	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
39	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
40	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
41	C₅₃×#401	C₂²	1	1	yes	characteristic
42	C₅₃×#401	C₂²	1	1	yes	characteristic
43	C₅₃×#400	C₂²	1	1	yes	characteristic
44	C₅₃×#400	C₂²	1	1	yes	characteristic
45	C₅₃×#400	C₂²	1	1	yes	characteristic
46	C₅₃×#400	C₂²	1	1	yes	characteristic
47	C₅₃×#400	C₂²	1	1	yes	characteristic
48	C₅₃×#400	C₂²	1	1	yes	characteristic
49	C₅₃×#400	C₂²	1	1	yes	characteristic
50	C₅₃×#400	C₂²	1	1	yes	characteristic
51	C₅₃×#399	C₂²	1	1	yes	characteristic
52	C₅₃×#399	C₂²	1	1	yes	characteristic
53	C₅₃×#398	C₂²	1	1	yes	characteristic
54	C₅₃×#398	C₂²	1	1	yes	characteristic
55	C₅₃×#398	C₂²	1	1	yes	characteristic
56	C₅₃×#398	C₂²	1	1	yes	characteristic
57	C₅₃×#398	C₂²	1	1	yes	characteristic
58	C₅₃×#398	C₂²	1	1	yes	characteristic
59	C₅₃×#397	C₂²	1	1	yes	characteristic
60	C₅₃×#397	C₂²	1	1	yes	characteristic
61	C₅₃×#397	C₂²	1	1	yes	characteristic
62	C₅₃×#397	C₂²	1	1	yes	characteristic
63	C₅₃×#397	C₂²	1	1	yes	characteristic
64	C₅₃×#397	C₂²	1	1	yes	characteristic
65	C₅₃×#397	C₂²	1	1	yes	characteristic
66	C₅₃×#397	C₂²	1	1	yes	characteristic
67	C₅₃×#397	C₂²	1	1	yes	characteristic
68	C₅₃×#397	C₂²	1	1	yes	characteristic
69	C₅₃×#396	C₂²	1	1	yes	characteristic
70	C₅₃×#396	C₂²	1	1	yes	characteristic
71	C₅₃×#396	C₂²	1	1	yes	characteristic
72	C₅₃×#396	C₂²	1	1	yes	characteristic
73	C₅₃×#396	C₂²	1	1	yes	characteristic
74	C₅₃×#396	C₂²	1	1	yes	characteristic
75	C₅₃×#394	C₂²	1	1	yes	characteristic
76	C₅₃×#394	C₂²	1	1	yes	characteristic
77	C₅₃×#394	C₂²	1	1	yes	characteristic
78	C₅₃×#394	C₂²	1	1	yes	characteristic
79	C₅₃×#394	C₂²	1	1	yes	characteristic
80	C₅₃×#394	C₂²	1	1	yes	characteristic
81	C₅₃×#394	C₂²	1	1	yes	characteristic
82	C₅₃×#394	C₂²	1	1	yes	characteristic
83	C₅₃×#394	C₂²	1	1	yes	characteristic
84	C₅₃×#394	C₂²	1	1	yes	characteristic
85	C₅₃×#394	C₂²	1	1	yes	characteristic
86	C₅₃×#394	C₂²	1	1	yes	characteristic
87	C₅₃×#392	C₂²	1	1	yes	characteristic
88	C₅₃×#392	C₂²	1	1	yes	characteristic
89	C₅₃×#390	C₂²	1	1	yes	characteristic
90	C₅₃×#390	C₂²	1	1	yes	characteristic
91	C₅₃×#390	C₂²	1	1	yes	characteristic
92	C₅₃×#390	C₂²	1	1	yes	characteristic
93	C₅₃×#390	C₂²	1	1	yes	characteristic
94	C₅₃×#389	C₂²	1	1	yes	characteristic
95	C₅₃×#389	C₂²	1	1	yes	characteristic
96	C₅₃×#389	C₂²	1	1	yes	characteristic
97	C₅₃×#389	C₂²	1	1	yes	characteristic
98	C₅₃×#389	C₂²	1	1	yes	characteristic
99	C₅₃×#389	C₂²	1	1	yes	characteristic
100	C₅₃×#389	C₂²	1	1	yes	characteristic
101	C₅₃×#388	C₂²	1	1	yes	characteristic
102	C₅₃×#388	C₂²	1	1	yes	characteristic
103	C₅₃×#388	C₂²	1	1	yes	characteristic
104	C₅₃×#388	C₂²	1	1	yes	characteristic
105	C₅₃×#388	C₂²	1	1	yes	characteristic
106	C₅₃×#388	C₂²	1	1	yes	characteristic
107	C₅₃×#388	C₂²	1	1	yes	characteristic
108	C₅₃×#388	C₂²	1	1	yes	characteristic
109	C₅₃×#388	C₂²	1	1	yes	characteristic
110	C₅₃×#388	C₂²	1	1	yes	characteristic
111	C₅₃×#388	C₂²	1	1	yes	characteristic
112	C₅₃×#388	C₂²	1	1	yes	characteristic
113	C₅₃×#388	C₂²	1	1	yes	characteristic
114	C₅₃×#388	C₂²	1	1	yes	characteristic
115	C₅₃×#388	C₂²	1	1	yes	characteristic
116	C₅₃×#388	C₂²	1	1	yes	characteristic
117	C₅₃×#388	C₂²	1	1	yes	characteristic
118	C₅₃×#388	C₂²	1	1	yes	characteristic
119	C₅₃×#388	C₂²	1	1	yes	characteristic
120	C₅₃×#388	C₂²	1	1	yes	characteristic
121	C₅₃×#388	C₂²	1	1	yes	characteristic
122	C₅₃×#388	C₂²	1	1	yes	characteristic
123	C₅₃×#388	C₂²	1	1	yes	characteristic
124	C₅₃×#388	C₂²	1	1	yes	characteristic
125	C₅₃×#388	C₂²	1	1	yes	characteristic
126	C₅₃×#388	C₂²	1	1	yes	characteristic
127	C₅₃×#387	C₂²	1	1	yes	characteristic
128	C₅₃×#387	C₂²	1	1	yes	characteristic
129	C₅₃×#387	C₂²	1	1	yes	characteristic
130	C₅₃×#387	C₂²	1	1	yes	characteristic
131	C₅₃×#387	C₂²	1	1	yes	characteristic
132	C₅₃×#387	C₂²	1	1	yes	characteristic
133	C₅₃×#387	C₂²	1	1	yes	characteristic
134	C₅₃×#387	C₂²	1	1	yes	characteristic
135	C₅₃×#387	C₂²	1	1	yes	characteristic
136	C₅₃×#387	C₂²	1	1	yes	characteristic
137	C₅₃×#387	C₂²	1	1	yes	characteristic
138	C₅₃×#387	C₂²	1	1	yes	characteristic
139	C₅₃×#387	C₂²	1	1	yes	characteristic
140	C₅₃×#387	C₂²	1	1	yes	characteristic
141	C₅₃×#387	C₂²	1	1	yes	characteristic
142	C₅₃×#387	C₂²	1	1	yes	characteristic
143	C₅₃×#387	C₂²	1	1	yes	characteristic
144	C₅₃×#387	C₂²	1	1	yes	characteristic
145	C₅₃×#387	C₂²	1	1	yes	characteristic
146	C₅₃×#387	C₂²	1	1	yes	characteristic
147	C₅₃×#386	C₂²	1	1	yes	characteristic
148	C₅₃×#386	C₂²	1	1	yes	characteristic
149	C₅₃×#386	C₂²	1	1	yes	characteristic
150	C₅₃×#386	C₂²	1	1	yes	characteristic
151	C₅₃×#386	C₂²	1	1	yes	characteristic
152	C₅₃×#386	C₂²	1	1	yes	characteristic
153	C₅₃×#386	C₂²	1	1	yes	characteristic
154	C₅₃×#386	C₂²	1	1	yes	characteristic
155	C₅₃×#386	C₂²	1	1	yes	characteristic
156	C₅₃×#386	C₂²	1	1	yes	characteristic
157	C₅₃×#385	C₂²	1	1	yes	characteristic
158	C₅₃×#385	C₂²	1	1	yes	characteristic
159	C₅₃×#385	C₂²	1	1	yes	characteristic
160	C₅₃×#385	C₂²	1	1	yes	characteristic
161	C₅₃×#385	C₂²	1	1	yes	characteristic
162	C₅₃×#385	C₂²	1	1	yes	characteristic
163	C₅₃×#385	C₂²	1	1	yes	characteristic
164	C₅₃×#385	C₂²	1	1	yes	characteristic
165	C₅₃×#385	C₂²	1	1	yes	characteristic
166	C₅₃×#385	C₂²	1	1	yes	characteristic
167	C₅₃×#385	C₂²	1	1	yes	characteristic
168	C₅₃×#385	C₂²	1	1	yes	characteristic
169	C₅₃×#382	C₂²	1	1	yes	characteristic
170	C₅₃×#382	C₂²	1	1	yes	characteristic
171	C₅₃×#382	C₂²	1	1	yes	characteristic
172	C₅₃×#382	C₂²	1	1	yes	characteristic
173	C₅₃×#381	C₂²	1	1	yes	characteristic
174	C₅₃×#381	C₂²	1	1	yes	characteristic
175	C₅₃×#380	C₂²	1	1	yes	characteristic
176	C₅₃×#380	C₂²	1	1	yes	characteristic
177	C₅₃×#380	C₂²	1	1	yes	characteristic
178	C₅₃×#380	C₂²	1	1	yes	characteristic
179	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
181	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
186	C₅₃×#376	C₂²	1	1	yes	characteristic
187	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
199	#125×C₅₃	—	4	2	no	—
200	#125×C₅₃	—	4	2	no	—
201	#123×C₅₃	—	2	4	no	—
202	#123×C₅₃	—	2	4	no	—
203	#121×C₅₃	—	4	2	no	—
204	#121×C₅₃	—	4	2	no	—
205	C₄×D₄×C₅₃	—	2	4	no	—
206	#117×C₅₃	—	4	2	no	—
207	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₅₃	—	4	2	no	—
286	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
299	#95×C₅₃	C₂³	1	1	yes	characteristic
300	#95×C₅₃	C₂³	1	1	yes	characteristic
301	#95×C₅₃	C₂³	1	1	yes	characteristic
302	#95×C₅₃	C₂³	1	1	yes	characteristic
303	#95×C₅₃	C₂³	1	1	yes	characteristic
304	#95×C₅₃	C₂³	1	1	yes	characteristic
305	#95×C₅₃	C₂³	1	1	yes	characteristic
306	#95×C₅₃	C₂³	1	1	yes	characteristic
307	#95×C₅₃	C₂³	1	1	yes	characteristic
308	#95×C₅₃	C₂³	1	1	yes	characteristic
309	#95×C₅₃	C₂³	1	1	yes	characteristic
310	#95×C₅₃	C₂³	1	1	yes	characteristic
311	#95×C₅₃	C₂³	1	1	yes	characteristic
312	#95×C₅₃	C₂³	1	1	yes	characteristic
313	#95×C₅₃	C₂³	1	1	yes	characteristic
314	#95×C₅₃	C₂³	1	1	yes	characteristic
315	#95×C₅₃	C₂³	1	1	yes	characteristic
316	#95×C₅₃	C₂³	1	1	yes	characteristic
317	#95×C₅₃	C₂³	1	1	yes	characteristic
318	#95×C₅₃	C₂³	1	1	yes	characteristic
319	#95×C₅₃	C₂³	1	1	yes	characteristic
320	#95×C₅₃	C₂³	1	1	yes	characteristic
321	#95×C₅₃	C₂³	1	1	yes	characteristic
322	#95×C₅₃	C₂³	1	1	yes	characteristic
323	#95×C₅₃	C₂³	1	1	yes	characteristic
324	#95×C₅₃	C₂³	1	1	yes	characteristic
325	#95×C₅₃	C₂³	1	1	yes	characteristic
326	#95×C₅₃	C₂³	1	1	yes	characteristic
327	#95×C₅₃	C₂³	1	1	yes	characteristic
328	#95×C₅₃	C₂³	1	1	yes	characteristic
329	#95×C₅₃	C₂³	1	1	yes	characteristic
330	#95×C₅₃	C₂³	1	1	yes	characteristic
331	#95×C₅₃	C₂³	1	1	yes	characteristic
332	#95×C₅₃	C₂³	1	1	yes	characteristic
333	#95×C₅₃	C₂³	1	1	yes	characteristic
334	#95×C₅₃	C₂³	1	1	yes	characteristic
335	#95×C₅₃	C₂³	1	1	yes	characteristic
336	#95×C₅₃	C₂³	1	1	yes	characteristic
337	#95×C₅₃	C₂³	1	1	yes	characteristic
338	#95×C₅₃	C₂³	1	1	yes	characteristic
339	#95×C₅₃	C₂³	1	1	yes	characteristic
340	#95×C₅₃	C₂³	1	1	yes	characteristic
341	#95×C₅₃	C₂³	1	1	yes	characteristic
342	#95×C₅₃	C₂³	1	1	yes	characteristic
343	#95×C₅₃	C₂³	1	1	yes	characteristic
344	#95×C₅₃	C₂³	1	1	yes	characteristic
345	#95×C₅₃	C₂³	1	1	yes	characteristic
346	#95×C₅₃	C₂³	1	1	yes	characteristic
347	#95×C₅₃	C₂³	1	1	yes	characteristic
348	#95×C₅₃	C₂³	1	1	yes	characteristic
349	#95×C₅₃	C₂³	1	1	yes	characteristic
350	#95×C₅₃	C₂³	1	1	yes	characteristic
351	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
352	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
354	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
355	C₂×D₄×C₅₃	—	2	2	no	—
356	C₂×D₄×C₅₃	—	2	2	no	—
357	C₂×D₄×C₅₃	—	2	2	no	—
358	C₂×D₄×C₅₃	—	2	2	no	—
359	C₂×D₄×C₅₃	—	4	1	no	—
360	C₂×D₄×C₅₃	—	4	1	no	—
361	C₂×D₄×C₅₃	—	4	1	no	—
362	C₂×D₄×C₅₃	—	4	1	no	—
363	C₂×D₄×C₅₃	—	4	1	no	—
364	C₂×D₄×C₅₃	—	4	1	no	—
365	C₂×D₄×C₅₃	—	4	1	no	—
366	C₂×D₄×C₅₃	—	4	1	no	—
367	C₂×D₄×C₅₃	—	4	1	no	—
368	C₂×D₄×C₅₃	—	4	1	no	—
369	C₂×D₄×C₅₃	—	4	1	no	—
370	C₂×D₄×C₅₃	—	4	1	no	—
371	C₂×D₄×C₅₃	—	4	1	no	—
372	C₂×D₄×C₅₃	—	4	1	no	—
373	C₂²×C₄×C₅₃	—	2	2	no	—
374	C₂²×C₄×C₅₃	—	2	2	no	—
375	C₂²×C₄×C₅₃	—	4	1	no	—
376	C₂²×C₄×C₅₃	—	4	1	no	—
377	C₂²×C₄×C₅₃	—	4	1	no	—
378	C₂²×C₄×C₅₃	—	4	1	no	—
379	C₂²×C₄×C₅₃	—	4	1	no	—
380	C₂²×C₄×C₅₃	—	4	1	no	—
381	C₂²×C₄×C₅₃	—	4	1	no	—
382	C₂²×C₄×C₅₃	—	4	1	no	—
383	C₂²×C₄×C₅₃	—	4	1	no	—
384	C₂²×C₄×C₅₃	—	4	1	no	—
385	C₂²×C₄×C₅₃	—	4	1	no	—
386	C₂²×C₄×C₅₃	—	4	1	no	—
387	C₂²×C₄×C₅₃	—	4	1	no	—
388	C₂²×C₄×C₅₃	—	4	1	no	—
389	C₂²×C₄×C₅₃	—	4	1	no	—
390	C₂²×C₄×C₅₃	#41	1	4	yes	—
391	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
418	C₄⋊C₄×C₅₃	—	2	2	no	—
419	C₄⋊C₄×C₅₃	—	2	2	no	—
420	C₄⋊C₄×C₅₃	—	2	2	no	—
421	C₄⋊C₄×C₅₃	—	2	2	no	—
422	C₄⋊C₄×C₅₃	—	2	2	no	—
423	C₄⋊C₄×C₅₃	—	2	2	no	—
424	C₄⋊C₄×C₅₃	—	2	2	no	—
425	C₄⋊C₄×C₅₃	—	2	2	no	—
426	C₄⋊C₄×C₅₃	—	2	2	no	—
427	C₄⋊C₄×C₅₃	—	4	1	no	—
428	C₄⋊C₄×C₅₃	—	4	1	no	—
429	C₄⋊C₄×C₅₃	—	4	1	no	—
430	C₄⋊C₄×C₅₃	—	4	1	no	—
431	C₄⋊C₄×C₅₃	—	4	1	no	—
432	C₄⋊C₄×C₅₃	—	4	1	no	—
433	C₄⋊C₄×C₅₃	—	4	1	no	—
434	C₄⋊C₄×C₅₃	—	4	1	no	—
435	C₄⋊C₄×C₅₃	—	4	1	no	—
436	C₄⋊C₄×C₅₃	—	4	1	no	—
437	C₄⋊C₄×C₅₃	—	4	1	no	—
438	C₄⋊C₄×C₅₃	—	4	1	no	—
439	C₄⋊C₄×C₅₃	—	4	1	no	—
440	C₄⋊C₄×C₅₃	—	4	1	no	—
441	C₄⋊C₄×C₅₃	—	4	1	no	—
442	C₄⋊C₄×C₅₃	—	4	1	no	—
443	C₄⋊C₄×C₅₃	—	4	1	no	—
444	C₄⋊C₄×C₅₃	—	4	1	no	—
445	C₄⋊C₄×C₅₃	—	4	1	no	—
446	C₄⋊C₄×C₅₃	—	4	1	no	—
447	C₄⋊C₄×C₅₃	—	4	1	no	—
448	C₄⋊C₄×C₅₃	—	4	1	no	—
449	C₄⋊C₄×C₅₃	—	4	1	no	—
450	C₄⋊C₄×C₅₃	—	4	1	no	—
451	C₄⋊C₄×C₅₃	—	4	1	no	—
452	C₄⋊C₄×C₅₃	—	4	1	no	—
453	C₄⋊C₄×C₅₃	—	4	1	no	—
454	C₂²⋊C₄×C₅₃	—	2	2	no	—
455	C₂²⋊C₄×C₅₃	—	2	2	no	—
456	C₂²⋊C₄×C₅₃	—	2	2	no	—
457	C₂²⋊C₄×C₅₃	—	2	2	no	—
458	C₂²⋊C₄×C₅₃	—	2	2	no	—
459	C₂²⋊C₄×C₅₃	—	2	2	no	—
460	C₂²⋊C₄×C₅₃	—	2	2	no	—
461	C₂²⋊C₄×C₅₃	—	2	2	no	—
462	C₂²⋊C₄×C₅₃	—	2	2	no	—
463	C₂²⋊C₄×C₅₃	—	4	1	no	—
464	C₂²⋊C₄×C₅₃	—	4	1	no	—
465	C₂²⋊C₄×C₅₃	—	4	1	no	—
466	C₂²⋊C₄×C₅₃	—	4	1	no	—
467	C₂²⋊C₄×C₅₃	—	4	1	no	—
468	C₂²⋊C₄×C₅₃	—	4	1	no	—
469	C₂²⋊C₄×C₅₃	—	4	1	no	—
470	C₂²⋊C₄×C₅₃	—	4	1	no	—
471	C₂²⋊C₄×C₅₃	—	4	1	no	—
472	C₂²⋊C₄×C₅₃	—	4	1	no	—
473	C₂²⋊C₄×C₅₃	—	4	1	no	—
474	C₂²⋊C₄×C₅₃	—	4	1	no	—
475	C₂²⋊C₄×C₅₃	—	4	1	no	—
476	C₂²⋊C₄×C₅₃	—	4	1	no	—
477	C₂²⋊C₄×C₅₃	—	4	1	no	—
478	C₂²⋊C₄×C₅₃	—	4	1	no	—
479	C₂²⋊C₄×C₅₃	—	4	1	no	—
480	C₂²⋊C₄×C₅₃	—	4	1	no	—
481	C₂²⋊C₄×C₅₃	—	4	1	no	—
482	C₂²⋊C₄×C₅₃	—	4	1	no	—
483	C₂²⋊C₄×C₅₃	—	4	1	no	—
484	C₂²⋊C₄×C₅₃	—	4	1	no	—
485	C₂²⋊C₄×C₅₃	—	4	1	no	—
486	C₂²⋊C₄×C₅₃	—	4	1	no	—
487	C₂²⋊C₄×C₅₃	—	4	1	no	—
488	C₂²⋊C₄×C₅₃	—	4	1	no	—
489	C₂²⋊C₄×C₅₃	—	4	1	no	—
490	C₂²⋊C₄×C₅₃	—	4	1	no	—
491	C₂²⋊C₄×C₅₃	—	4	1	no	—
492	C₂²⋊C₄×C₅₃	—	4	1	no	—
493	C₂²⋊C₄×C₅₃	—	4	1	no	—
494	C₂²⋊C₄×C₅₃	—	4	1	no	—
495	C₂²⋊C₄×C₅₃	—	4	1	no	—
496	C₄²×C₅₃	—	2	2	no	—
497	C₄²×C₅₃	—	2	2	no	—
498	C₄²×C₅₃	—	2	2	no	—
499	C₄²×C₅₃	—	4	1	no	—
500	C₄²×C₅₃	—	4	1	no	—
501	C₄²×C₅₃	—	4	1	no	—
502	C₄²×C₅₃	—	4	1	no	—
503	C₄²×C₅₃	—	4	1	no	—
504	C₄²×C₅₃	—	4	1	no	—
505	C₄²×C₅₃	—	4	1	no	—
506	C₄²×C₅₃	—	4	1	no	—
507	C₄²×C₅₃	—	4	1	no	—
508	C₄²×C₅₃	—	4	1	no	—
509	C₂³×C₅₃	—	2	1	no	—
510	C₂³×C₅₃	—	2	1	no	—
511	C₂³×C₅₃	—	2	1	no	—
512	C₂³×C₅₃	—	2	1	no	—
513	C₂³×C₅₃	—	2	1	no	—
514	C₂³×C₅₃	—	2	1	no	—
515	C₂³×C₅₃	—	2	1	no	—
516	C₂³×C₅₃	—	2	1	no	—
517	C₂³×C₅₃	—	2	1	no	—
518	C₂³×C₅₃	—	2	1	no	—
519	C₂³×C₅₃	—	2	1	no	—
520	C₂³×C₅₃	—	2	1	no	—
521	C₂³×C₅₃	—	2	1	no	—
522	C₂³×C₅₃	—	2	1	no	—
523	C₂³×C₅₃	—	2	1	no	—
524	C₂³×C₅₃	—	2	1	no	—
525	C₂³×C₅₃	—	2	1	no	—
526	C₂³×C₅₃	—	2	1	no	—
527	C₂³×C₅₃	—	2	1	no	—
528	C₂³×C₅₃	—	2	1	no	—
529	C₂³×C₅₃	—	2	1	no	—
530	C₂³×C₅₃	—	2	1	no	—
531	C₂³×C₅₃	—	2	1	no	—
532	C₂³×C₅₃	—	2	1	no	—
533	C₂³×C₅₃	—	2	1	no	—
534	C₂³×C₅₃	—	2	1	no	—
535	C₂³×C₅₃	—	2	1	no	—
536	C₂³×C₅₃	C₂×#41	1	2	yes	—
537	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
538	D₄×C₅₃	—	4	4	no	—
539	D₄×C₅₃	—	8	2	no	—
540	D₄×C₅₃	—	8	2	no	—
541	D₄×C₅₃	—	8	2	no	—
542	D₄×C₅₃	—	8	2	no	—
543	D₄×C₅₃	—	8	2	no	—
544	C₂×C₄×C₅₃	—	2	1	no	—
545	C₂×C₄×C₅₃	—	2	1	no	—
546	C₂×C₄×C₅₃	—	2	1	no	—
547	C₂×C₄×C₅₃	—	2	1	no	—
548	C₂×C₄×C₅₃	—	2	1	no	—
549	C₂×C₄×C₅₃	—	2	1	no	—
550	C₂×C₄×C₅₃	—	2	1	no	—
551	C₂×C₄×C₅₃	—	2	1	no	—
552	C₂×C₄×C₅₃	—	2	1	no	—
553	C₂×C₄×C₅₃	—	2	1	no	—
554	C₂×C₄×C₅₃	—	2	1	no	—
555	C₂×C₄×C₅₃	—	2	1	no	—
556	C₂×C₄×C₅₃	—	2	1	no	—
557	C₂×C₄×C₅₃	—	2	1	no	—
558	C₂×C₄×C₅₃	—	2	1	no	—
559	C₂×C₄×C₅₃	—	2	1	no	—
560	C₂×C₄×C₅₃	—	2	1	no	—
561	C₂×C₄×C₅₃	—	2	1	no	—
562	C₂×C₄×C₅₃	—	2	1	no	—
563	C₂×C₄×C₅₃	—	2	1	no	—
564	C₂×C₄×C₅₃	—	2	1	no	—
565	C₂×C₄×C₅₃	—	2	1	no	—
566	C₂×C₄×C₅₃	—	2	1	no	—
567	C₂×C₄×C₅₃	—	2	1	no	—
568	C₂×C₄×C₅₃	—	2	1	no	—
569	C₂×C₄×C₅₃	—	2	1	no	—
570	C₂×C₄×C₅₃	—	2	1	no	—
571	C₂×C₄×C₅₃	—	2	1	no	—
572	C₂×C₄×C₅₃	—	2	1	no	—
573	C₂×C₄×C₅₃	—	2	1	no	—
574	C₂×C₄×C₅₃	—	2	1	no	—
575	C₂×C₄×C₅₃	—	2	1	no	—
576	C₂×C₄×C₅₃	—	2	1	no	—
577	C₂×C₄×C₅₃	—	2	1	no	—
578	C₂×C₄×C₅₃	—	2	1	no	—
579	C₂×C₄×C₅₃	—	2	1	no	—
580	C₂×C₄×C₅₃	—	2	1	no	—
581	C₂×C₄×C₅₃	—	2	1	no	—
582	C₂×C₄×C₅₃	—	2	1	no	—
583	C₂×C₄×C₅₃	—	2	1	no	—
584	C₂×C₄×C₅₃	—	2	1	no	—
585	C₂×C₄×C₅₃	—	2	1	no	—
586	C₂×C₄×C₅₃	—	2	1	no	—
587	C₂×C₄×C₅₃	—	2	1	no	—
588	C₂×C₄×C₅₃	—	2	1	no	—
589	C₂×C₄×C₅₃	—	2	1	no	—
590	C₂×C₄×C₅₃	—	2	1	no	—
591	C₂×C₄×C₅₃	—	2	1	no	—
592	C₂×C₄×C₅₃	—	2	1	no	—
593	C₂×C₄×C₅₃	—	2	1	no	—
594	C₂×C₄×C₅₃	—	2	1	no	—
595	C₂×C₄×C₅₃	—	2	1	no	—
596	C₂×C₄×C₅₃	—	2	1	no	—
597	C₂×C₄×C₅₃	—	2	1	no	—
598	C₂×C₄×C₅₃	—	2	1	no	—
599	C₂×C₄×C₅₃	—	2	1	no	—
600	C₂×C₄×C₅₃	—	2	1	no	—
601	C₂×C₄×C₅₃	—	2	1	no	—
602	C₂×C₄×C₅₃	—	2	1	no	—
603	C₂×C₄×C₅₃	—	2	1	no	—
604	C₂×C₄×C₅₃	—	2	1	no	—
605	C₂×C₄×C₅₃	—	2	1	no	—
606	C₂×C₄×C₅₃	—	2	1	no	—
607	C₂×C₄×C₅₃	—	2	1	no	—
608	C₂×C₄×C₅₃	—	2	1	no	—
609	C₂×C₄×C₅₃	—	2	1	no	—
610	C₂×C₄×C₅₃	—	2	1	no	—
611	C₂×C₄×C₅₃	—	2	1	no	—
612	C₂×C₄×C₅₃	—	2	1	no	—
613	C₂×C₄×C₅₃	—	2	1	no	—
614	C₂×C₄×C₅₃	—	2	1	no	—
615	C₂×C₄×C₅₃	—	2	1	no	—
616	C₂×C₄×C₅₃	—	2	1	no	—
617	C₂×C₄×C₅₃	—	2	1	no	—
618	C₂×C₄×C₅₃	—	2	1	no	—
619	C₂×C₄×C₅₃	—	2	1	no	—
620	C₂×C₄×C₅₃	—	2	1	no	—
621	C₂×C₄×C₅₃	—	2	1	no	—
622	C₂×C₄×C₅₃	—	4	4	no	—
623	C₂×C₄×C₅₃	—	4	4	no	—
624	C₂×C₄×C₅₃	—	4	4	no	—
625	C₂×C₄×C₅₃	—	4	4	no	—
626	C₂×C₄×C₅₃	—	8	2	no	—
627	C₂×C₄×C₅₃	—	8	2	no	—
628	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
629	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
630	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
631	#36769	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
632	C₂²×C₅₃	—	2	2	no	—
633	C₂²×C₅₃	—	2	2	no	—
634	C₂²×C₅₃	—	2	2	no	—
635	C₂²×C₅₃	—	4	1	no	—
636	C₂²×C₅₃	—	4	1	no	—
637	C₂²×C₅₃	—	4	1	no	—
638	C₂²×C₅₃	—	4	1	no	—
639	C₂²×C₅₃	—	4	1	no	—
640	C₂²×C₅₃	—	4	1	no	—
641	C₂²×C₅₃	—	4	1	no	—
642	C₂²×C₅₃	—	4	1	no	—
643	C₂²×C₅₃	—	4	1	no	—
644	C₂²×C₅₃	—	4	1	no	—
645	C₂²×C₅₃	—	4	1	no	—
646	C₂²×C₅₃	—	4	1	no	—
647	C₂²×C₅₃	—	4	1	no	—
648	C₂²×C₅₃	—	4	1	no	—
649	C₂²×C₅₃	—	4	1	no	—
650	C₂²×C₅₃	—	4	1	no	—
651	C₂²×C₅₃	—	4	1	no	—
652	C₂²×C₅₃	—	4	1	no	—
653	C₂²×C₅₃	—	4	1	no	—
654	C₂²×C₅₃	—	4	1	no	—
655	C₂²×C₅₃	—	4	1	no	—
656	C₂²×C₅₃	—	4	1	no	—
657	C₂²×C₅₃	—	4	1	no	—
658	C₂²×C₅₃	—	4	1	no	—
659	C₂²×C₅₃	—	4	1	no	—
660	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
661	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
662	C₂²×C₅₃	#585	1	1	yes	characteristic
663	C₂²×C₅₃	#585	1	1	yes	characteristic
664	C₂²×C₅₃	#585	1	1	yes	characteristic
665	C₂²×C₅₃	#585	1	1	yes	characteristic
666	C₂²×C₅₃	#585	1	1	yes	characteristic
667	C₄×C₅₃	—	2	2	no	—
668	C₄×C₅₃	—	2	2	no	—
669	C₄×C₅₃	—	2	2	no	—
670	C₄×C₅₃	—	4	1	no	—
671	C₄×C₅₃	—	4	1	no	—
672	C₄×C₅₃	—	4	1	no	—
673	C₄×C₅₃	—	4	1	no	—
674	C₄×C₅₃	—	4	1	no	—
675	C₄×C₅₃	—	4	1	no	—
676	C₄×C₅₃	—	4	1	no	—
677	C₄×C₅₃	—	4	1	no	—
678	C₄×C₅₃	—	4	1	no	—
679	C₄×C₅₃	—	4	1	no	—
680	C₄×C₅₃	—	4	1	no	—
681	C₄×C₅₃	—	4	1	no	—
682	C₄×C₅₃	—	4	1	no	—
683	C₄×C₅₃	—	4	1	no	—
684	C₄×C₅₃	—	4	1	no	—
685	C₄×C₅₃	—	4	1	no	—
686	C₄×C₅₃	—	4	1	no	—
687	C₄×C₅₃	—	4	1	no	—
688	C₄×C₅₃	—	4	1	no	—
689	C₄×C₅₃	—	4	1	no	—
690	C₄×C₅₃	—	4	1	no	—
691	C₄×C₅₃	—	4	1	no	—
692	C₄×C₅₃	—	4	1	no	—
693	C₄×C₅₃	—	4	1	no	—
694	#2854	C₂×C₅₃	1	1	yes	characteristic, complemented
695	#2851	C₂×C₅₃	1	1	yes	characteristic, complemented
696	#2801	C₂×C₅₃	1	1	yes	characteristic, complemented
697	#2797	C₂×C₅₃	1	1	yes	characteristic, complemented
698	#2787	C₂×C₅₃	1	1	yes	characteristic, complemented
699	#2782	C₂×C₅₃	1	1	yes	characteristic, complemented
700	#2781	C₂×C₅₃	1	1	yes	characteristic, complemented
701	#2779	C₂×C₅₃	1	1	yes	characteristic, complemented
702	#2772	C₂×C₅₃	1	1	yes	characteristic, complemented
703	#2772	C₂×C₅₃	1	1	yes	characteristic, complemented
704	#2765	C₂×C₅₃	1	1	yes	characteristic, complemented
705	#2761	C₂×C₅₃	1	1	yes	characteristic, complemented
706	#2753	C₂×C₅₃	1	1	yes	characteristic, complemented
707	#2746	C₂×C₅₃	1	1	yes	characteristic, complemented
708	#2719	C₂×C₅₃	1	1	yes	characteristic, complemented
709	#2711	C₂×C₅₃	1	1	yes	characteristic, complemented
710	#2711	C₂×C₅₃	1	1	yes	characteristic, complemented
711	#2688	C₂×C₅₃	1	1	yes	characteristic
712	#2630	C₂×C₅₃	1	1	yes	characteristic, complemented
713	#2630	C₂×C₅₃	1	1	yes	characteristic, complemented
714	#2597	C₂×C₅₃	1	1	yes	characteristic, complemented
715	#2596	C₂×C₅₃	1	1	yes	characteristic, complemented
716	#2576	C₂×C₅₃	1	1	yes	characteristic, complemented
717	#2575	C₂×C₅₃	1	1	yes	characteristic, complemented
718	#2531	C₂×C₅₃	1	1	yes	characteristic, complemented
719	#2528	C₂×C₅₃	1	1	yes	characteristic, complemented
720	#2476	C₂×C₅₃	1	1	yes	characteristic, complemented
721	#2475	C₂×C₅₃	1	1	yes	characteristic, complemented
722	#2335	C₂×C₅₃	1	1	yes	characteristic, complemented
723	#2335	C₂×C₅₃	1	1	yes	characteristic, complemented
724	#2290	C₂×C₅₃	1	1	yes	characteristic, complemented
725	C₂×C₅₃	—	4	2	no	—
726	C₂×C₅₃	—	8	1	no	—
727	C₂×C₅₃	—	8	1	no	—
728	C₂×C₅₃	—	8	1	no	—
729	C₂×C₅₃	#3455	1	1	yes	characteristic
730	C₂×C₅₃	#3505	1	1	yes	characteristic
731	C₂×C₅₃	#3512	1	1	yes	characteristic
732	C₂×C₅₃	#3533	1	1	yes	characteristic
733	C₂×C₅₃	#3540	1	1	yes	characteristic
734	C₂×C₅₃	#3566	1	1	yes	characteristic
735	C₂×C₅₃	#3567	1	1	yes	characteristic
736	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic
737	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic
738	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
739	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
740	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
741	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
742	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
743	C₂×#117	C₂²×C₅₃	1	1	yes	characteristic
744	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
745	#401	C₂²×C₅₃	1	1	yes	characteristic
746	#401	C₂²×C₅₃	1	1	yes	characteristic
747	#400	C₂²×C₅₃	1	1	yes	characteristic
748	#400	C₂²×C₅₃	1	1	yes	characteristic
749	#400	C₂²×C₅₃	1	1	yes	characteristic
750	#400	C₂²×C₅₃	1	1	yes	characteristic
751	#400	C₂²×C₅₃	1	1	yes	characteristic
752	#400	C₂²×C₅₃	1	1	yes	characteristic
753	#400	C₂²×C₅₃	1	1	yes	characteristic
754	#400	C₂²×C₅₃	1	1	yes	characteristic
755	#399	C₂²×C₅₃	1	1	yes	characteristic
756	#399	C₂²×C₅₃	1	1	yes	characteristic
757	#398	C₂²×C₅₃	1	1	yes	characteristic
758	#398	C₂²×C₅₃	1	1	yes	characteristic
759	#398	C₂²×C₅₃	1	1	yes	characteristic
760	#398	C₂²×C₅₃	1	1	yes	characteristic
761	#398	C₂²×C₅₃	1	1	yes	characteristic
762	#398	C₂²×C₅₃	1	1	yes	characteristic
763	#397	C₂²×C₅₃	1	1	yes	characteristic
764	#397	C₂²×C₅₃	1	1	yes	characteristic
765	#397	C₂²×C₅₃	1	1	yes	characteristic
766	#397	C₂²×C₅₃	1	1	yes	characteristic
767	#397	C₂²×C₅₃	1	1	yes	characteristic
768	#397	C₂²×C₅₃	1	1	yes	characteristic
769	#397	C₂²×C₅₃	1	1	yes	characteristic
770	#397	C₂²×C₅₃	1	1	yes	characteristic
771	#397	C₂²×C₅₃	1	1	yes	characteristic
772	#397	C₂²×C₅₃	1	1	yes	characteristic
773	#396	C₂²×C₅₃	1	1	yes	characteristic
774	#396	C₂²×C₅₃	1	1	yes	characteristic
775	#396	C₂²×C₅₃	1	1	yes	characteristic
776	#396	C₂²×C₅₃	1	1	yes	characteristic
777	#396	C₂²×C₅₃	1	1	yes	characteristic
778	#396	C₂²×C₅₃	1	1	yes	characteristic
779	#394	C₂²×C₅₃	1	1	yes	characteristic
780	#394	C₂²×C₅₃	1	1	yes	characteristic
781	#394	C₂²×C₅₃	1	1	yes	characteristic
782	#394	C₂²×C₅₃	1	1	yes	characteristic
783	#394	C₂²×C₅₃	1	1	yes	characteristic
784	#394	C₂²×C₅₃	1	1	yes	characteristic
785	#394	C₂²×C₅₃	1	1	yes	characteristic
786	#394	C₂²×C₅₃	1	1	yes	characteristic
787	#394	C₂²×C₅₃	1	1	yes	characteristic
788	#394	C₂²×C₅₃	1	1	yes	characteristic
789	#394	C₂²×C₅₃	1	1	yes	characteristic
790	#394	C₂²×C₅₃	1	1	yes	characteristic
791	#392	C₂²×C₅₃	1	1	yes	characteristic
792	#392	C₂²×C₅₃	1	1	yes	characteristic
793	#390	C₂²×C₅₃	1	1	yes	characteristic
794	#390	C₂²×C₅₃	1	1	yes	characteristic
795	#390	C₂²×C₅₃	1	1	yes	characteristic
796	#390	C₂²×C₅₃	1	1	yes	characteristic
797	#390	C₂²×C₅₃	1	1	yes	characteristic
798	#389	C₂²×C₅₃	1	1	yes	characteristic
799	#389	C₂²×C₅₃	1	1	yes	characteristic
800	#389	C₂²×C₅₃	1	1	yes	characteristic
801	#389	C₂²×C₅₃	1	1	yes	characteristic
802	#389	C₂²×C₅₃	1	1	yes	characteristic
803	#389	C₂²×C₅₃	1	1	yes	characteristic
804	#389	C₂²×C₅₃	1	1	yes	characteristic
805	#388	C₂²×C₅₃	1	1	yes	characteristic
806	#388	C₂²×C₅₃	1	1	yes	characteristic
807	#388	C₂²×C₅₃	1	1	yes	characteristic
808	#388	C₂²×C₅₃	1	1	yes	characteristic
809	#388	C₂²×C₅₃	1	1	yes	characteristic
810	#388	C₂²×C₅₃	1	1	yes	characteristic
811	#388	C₂²×C₅₃	1	1	yes	characteristic
812	#388	C₂²×C₅₃	1	1	yes	characteristic
813	#388	C₂²×C₅₃	1	1	yes	characteristic
814	#388	C₂²×C₅₃	1	1	yes	characteristic
815	#388	C₂²×C₅₃	1	1	yes	characteristic
816	#388	C₂²×C₅₃	1	1	yes	characteristic
817	#388	C₂²×C₅₃	1	1	yes	characteristic
818	#388	C₂²×C₅₃	1	1	yes	characteristic
819	#388	C₂²×C₅₃	1	1	yes	characteristic
820	#388	C₂²×C₅₃	1	1	yes	characteristic
821	#388	C₂²×C₅₃	1	1	yes	characteristic
822	#388	C₂²×C₅₃	1	1	yes	characteristic
823	#388	C₂²×C₅₃	1	1	yes	characteristic
824	#388	C₂²×C₅₃	1	1	yes	characteristic
825	#388	C₂²×C₅₃	1	1	yes	characteristic
826	#388	C₂²×C₅₃	1	1	yes	characteristic
827	#388	C₂²×C₅₃	1	1	yes	characteristic
828	#388	C₂²×C₅₃	1	1	yes	characteristic
829	#388	C₂²×C₅₃	1	1	yes	characteristic
830	#388	C₂²×C₅₃	1	1	yes	characteristic
831	#387	C₂²×C₅₃	1	1	yes	characteristic
832	#387	C₂²×C₅₃	1	1	yes	characteristic
833	#387	C₂²×C₅₃	1	1	yes	characteristic
834	#387	C₂²×C₅₃	1	1	yes	characteristic
835	#387	C₂²×C₅₃	1	1	yes	characteristic
836	#387	C₂²×C₅₃	1	1	yes	characteristic
837	#387	C₂²×C₅₃	1	1	yes	characteristic
838	#387	C₂²×C₅₃	1	1	yes	characteristic
839	#387	C₂²×C₅₃	1	1	yes	characteristic
840	#387	C₂²×C₅₃	1	1	yes	characteristic
841	#387	C₂²×C₅₃	1	1	yes	characteristic
842	#387	C₂²×C₅₃	1	1	yes	characteristic
843	#387	C₂²×C₅₃	1	1	yes	characteristic
844	#387	C₂²×C₅₃	1	1	yes	characteristic
845	#387	C₂²×C₅₃	1	1	yes	characteristic
846	#387	C₂²×C₅₃	1	1	yes	characteristic
847	#387	C₂²×C₅₃	1	1	yes	characteristic
848	#387	C₂²×C₅₃	1	1	yes	characteristic
849	#387	C₂²×C₅₃	1	1	yes	characteristic
850	#387	C₂²×C₅₃	1	1	yes	characteristic
851	#386	C₂²×C₅₃	1	1	yes	characteristic
852	#386	C₂²×C₅₃	1	1	yes	characteristic
853	#386	C₂²×C₅₃	1	1	yes	characteristic
854	#386	C₂²×C₅₃	1	1	yes	characteristic
855	#386	C₂²×C₅₃	1	1	yes	characteristic
856	#386	C₂²×C₅₃	1	1	yes	characteristic
857	#386	C₂²×C₅₃	1	1	yes	characteristic
858	#386	C₂²×C₅₃	1	1	yes	characteristic
859	#386	C₂²×C₅₃	1	1	yes	characteristic
860	#386	C₂²×C₅₃	1	1	yes	characteristic
861	#385	C₂²×C₅₃	1	1	yes	characteristic
862	#385	C₂²×C₅₃	1	1	yes	characteristic
863	#385	C₂²×C₅₃	1	1	yes	characteristic
864	#385	C₂²×C₅₃	1	1	yes	characteristic
865	#385	C₂²×C₅₃	1	1	yes	characteristic
866	#385	C₂²×C₅₃	1	1	yes	characteristic
867	#385	C₂²×C₅₃	1	1	yes	characteristic
868	#385	C₂²×C₅₃	1	1	yes	characteristic
869	#385	C₂²×C₅₃	1	1	yes	characteristic
870	#385	C₂²×C₅₃	1	1	yes	characteristic
871	#385	C₂²×C₅₃	1	1	yes	characteristic
872	#385	C₂²×C₅₃	1	1	yes	characteristic
873	#382	C₂²×C₅₃	1	1	yes	characteristic
874	#382	C₂²×C₅₃	1	1	yes	characteristic
875	#382	C₂²×C₅₃	1	1	yes	characteristic
876	#382	C₂²×C₅₃	1	1	yes	characteristic
877	#381	C₂²×C₅₃	1	1	yes	characteristic
878	#381	C₂²×C₅₃	1	1	yes	characteristic
879	#380	C₂²×C₅₃	1	1	yes	characteristic
880	#380	C₂²×C₅₃	1	1	yes	characteristic
881	#380	C₂²×C₅₃	1	1	yes	characteristic
882	#380	C₂²×C₅₃	1	1	yes	characteristic
883	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
884	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
885	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
886	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
887	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
888	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
889	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
890	#376	C₂²×C₅₃	1	1	yes	characteristic
891	C₅₃	#36769	1	1	yes	characteristic, direct product factor, Sylow
892	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
893	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
894	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
895	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
896	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
897	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
898	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
899	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
900	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
901	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
902	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
903	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
904	#125	—	4	2	no	—
905	#125	—	4	2	no	—
906	#123	—	2	4	no	—
907	#123	—	2	4	no	—
908	#121	—	4	2	no	—
909	#121	—	4	2	no	—
910	C₄×D₄	—	2	4	no	—
911	#117	—	4	2	no	—
912	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
950	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
951	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
952	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
955	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
990	C₂×C₄²	—	4	2	no	—
991	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
992	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
993	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
994	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
995	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
996	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
997	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
998	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
999	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1000	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1001	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1002	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1003	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1004	#95	C₂³×C₅₃	1	1	yes	characteristic
1005	#95	C₂³×C₅₃	1	1	yes	characteristic
1006	#95	C₂³×C₅₃	1	1	yes	characteristic
1007	#95	C₂³×C₅₃	1	1	yes	characteristic
1008	#95	C₂³×C₅₃	1	1	yes	characteristic
1009	#95	C₂³×C₅₃	1	1	yes	characteristic
1010	#95	C₂³×C₅₃	1	1	yes	characteristic
1011	#95	C₂³×C₅₃	1	1	yes	characteristic
1012	#95	C₂³×C₅₃	1	1	yes	characteristic
1013	#95	C₂³×C₅₃	1	1	yes	characteristic
1014	#95	C₂³×C₅₃	1	1	yes	characteristic
1015	#95	C₂³×C₅₃	1	1	yes	characteristic
1016	#95	C₂³×C₅₃	1	1	yes	characteristic
1017	#95	C₂³×C₅₃	1	1	yes	characteristic
1018	#95	C₂³×C₅₃	1	1	yes	characteristic
1019	#95	C₂³×C₅₃	1	1	yes	characteristic
1020	#95	C₂³×C₅₃	1	1	yes	characteristic
1021	#95	C₂³×C₅₃	1	1	yes	characteristic
1022	#95	C₂³×C₅₃	1	1	yes	characteristic
1023	#95	C₂³×C₅₃	1	1	yes	characteristic
1024	#95	C₂³×C₅₃	1	1	yes	characteristic
1025	#95	C₂³×C₅₃	1	1	yes	characteristic
1026	#95	C₂³×C₅₃	1	1	yes	characteristic
1027	#95	C₂³×C₅₃	1	1	yes	characteristic
1028	#95	C₂³×C₅₃	1	1	yes	characteristic
1029	#95	C₂³×C₅₃	1	1	yes	characteristic
1030	#95	C₂³×C₅₃	1	1	yes	characteristic
1031	#95	C₂³×C₅₃	1	1	yes	characteristic
1032	#95	C₂³×C₅₃	1	1	yes	characteristic
1033	#95	C₂³×C₅₃	1	1	yes	characteristic
1034	#95	C₂³×C₅₃	1	1	yes	characteristic
1035	#95	C₂³×C₅₃	1	1	yes	characteristic
1036	#95	C₂³×C₅₃	1	1	yes	characteristic
1037	#95	C₂³×C₅₃	1	1	yes	characteristic
1038	#95	C₂³×C₅₃	1	1	yes	characteristic
1039	#95	C₂³×C₅₃	1	1	yes	characteristic
1040	#95	C₂³×C₅₃	1	1	yes	characteristic
1041	#95	C₂³×C₅₃	1	1	yes	characteristic
1042	#95	C₂³×C₅₃	1	1	yes	characteristic
1043	#95	C₂³×C₅₃	1	1	yes	characteristic
1044	#95	C₂³×C₅₃	1	1	yes	characteristic
1045	#95	C₂³×C₅₃	1	1	yes	characteristic
1046	#95	C₂³×C₅₃	1	1	yes	characteristic
1047	#95	C₂³×C₅₃	1	1	yes	characteristic
1048	#95	C₂³×C₅₃	1	1	yes	characteristic
1049	#95	C₂³×C₅₃	1	1	yes	characteristic
1050	#95	C₂³×C₅₃	1	1	yes	characteristic
1051	#95	C₂³×C₅₃	1	1	yes	characteristic
1052	#95	C₂³×C₅₃	1	1	yes	characteristic
1053	#95	C₂³×C₅₃	1	1	yes	characteristic
1054	#95	C₂³×C₅₃	1	1	yes	characteristic
1055	#95	C₂³×C₅₃	1	1	yes	characteristic
1056	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1057	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1058	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1059	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1060	C₂×D₄	—	2	2	no	—
1061	C₂×D₄	—	2	2	no	—
1062	C₂×D₄	—	2	2	no	—
1063	C₂×D₄	—	2	2	no	—
1064	C₂×D₄	—	4	1	no	—
1065	C₂×D₄	—	4	1	no	—
1066	C₂×D₄	—	4	1	no	—
1067	C₂×D₄	—	4	1	no	—
1068	C₂×D₄	—	4	1	no	—
1069	C₂×D₄	—	4	1	no	—
1070	C₂×D₄	—	4	1	no	—
1071	C₂×D₄	—	4	1	no	—
1072	C₂×D₄	—	4	1	no	—
1073	C₂×D₄	—	4	1	no	—
1074	C₂×D₄	—	4	1	no	—
1075	C₂×D₄	—	4	1	no	—
1076	C₂×D₄	—	4	1	no	—
1077	C₂×D₄	—	4	1	no	—
1078	C₂²×C₄	—	2	2	no	—
1079	C₂²×C₄	—	2	2	no	—
1080	C₂²×C₄	—	4	1	no	—
1081	C₂²×C₄	—	4	1	no	—
1082	C₂²×C₄	—	4	1	no	—
1083	C₂²×C₄	—	4	1	no	—
1084	C₂²×C₄	—	4	1	no	—
1085	C₂²×C₄	—	4	1	no	—
1086	C₂²×C₄	—	4	1	no	—
1087	C₂²×C₄	—	4	1	no	—
1088	C₂²×C₄	—	4	1	no	—
1089	C₂²×C₄	—	4	1	no	—
1090	C₂²×C₄	—	4	1	no	—
1091	C₂²×C₄	—	4	1	no	—
1092	C₂²×C₄	—	4	1	no	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	#41×C₅₃	1	4	yes	—
1096	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1098	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1099	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1115	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1116	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	2	2	no	—
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	2	2	no	—
1128	C₄⋊C₄	—	2	2	no	—
1129	C₄⋊C₄	—	2	2	no	—
1130	C₄⋊C₄	—	2	2	no	—
1131	C₄⋊C₄	—	2	2	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	4	1	no	—
1138	C₄⋊C₄	—	4	1	no	—
1139	C₄⋊C₄	—	4	1	no	—
1140	C₄⋊C₄	—	4	1	no	—
1141	C₄⋊C₄	—	4	1	no	—
1142	C₄⋊C₄	—	4	1	no	—
1143	C₄⋊C₄	—	4	1	no	—
1144	C₄⋊C₄	—	4	1	no	—
1145	C₄⋊C₄	—	4	1	no	—
1146	C₄⋊C₄	—	4	1	no	—
1147	C₄⋊C₄	—	4	1	no	—
1148	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	4	1	no	—
1150	C₄⋊C₄	—	4	1	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	4	1	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	4	1	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₂²⋊C₄	—	2	2	no	—
1160	C₂²⋊C₄	—	2	2	no	—
1161	C₂²⋊C₄	—	2	2	no	—
1162	C₂²⋊C₄	—	2	2	no	—
1163	C₂²⋊C₄	—	2	2	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	2	2	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	4	1	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	4	1	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	4	1	no	—
1175	C₂²⋊C₄	—	4	1	no	—
1176	C₂²⋊C₄	—	4	1	no	—
1177	C₂²⋊C₄	—	4	1	no	—
1178	C₂²⋊C₄	—	4	1	no	—
1179	C₂²⋊C₄	—	4	1	no	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	—	4	1	no	—
1182	C₂²⋊C₄	—	4	1	no	—
1183	C₂²⋊C₄	—	4	1	no	—
1184	C₂²⋊C₄	—	4	1	no	—
1185	C₂²⋊C₄	—	4	1	no	—
1186	C₂²⋊C₄	—	4	1	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	4	1	no	—
1194	C₂²⋊C₄	—	4	1	no	—
1195	C₂²⋊C₄	—	4	1	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	—	4	1	no	—
1198	C₂²⋊C₄	—	4	1	no	—
1199	C₂²⋊C₄	—	4	1	no	—
1200	C₂²⋊C₄	—	4	1	no	—
1201	C₄²	—	2	2	no	—
1202	C₄²	—	2	2	no	—
1203	C₄²	—	2	2	no	—
1204	C₄²	—	4	1	no	—
1205	C₄²	—	4	1	no	—
1206	C₄²	—	4	1	no	—
1207	C₄²	—	4	1	no	—
1208	C₄²	—	4	1	no	—
1209	C₄²	—	4	1	no	—
1210	C₄²	—	4	1	no	—
1211	C₄²	—	4	1	no	—
1212	C₄²	—	4	1	no	—
1213	C₄²	—	4	1	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	1	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	2	1	no	—
1234	C₂³	—	2	1	no	—
1235	C₂³	—	2	1	no	—
1236	C₂³	—	2	1	no	—
1237	C₂³	—	2	1	no	—
1238	C₂³	—	2	1	no	—
1239	C₂³	—	2	1	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	C₂×#41×C₅₃	1	2	yes	—
1242	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1243	D₄	—	4	4	no	—
1244	D₄	—	8	2	no	—
1245	D₄	—	8	2	no	—
1246	D₄	—	8	2	no	—
1247	D₄	—	8	2	no	—
1248	D₄	—	8	2	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	4	4	no	—
1329	C₂×C₄	—	4	4	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	8	2	no	—
1332	C₂×C₄	—	8	2	no	—
1333	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1334	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1335	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	2	no	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	—	4	1	no	—
1353	C₂²	—	4	1	no	—
1354	C₂²	—	4	1	no	—
1355	C₂²	—	4	1	no	—
1356	C₂²	—	4	1	no	—
1357	C₂²	—	4	1	no	—
1358	C₂²	—	4	1	no	—
1359	C₂²	—	4	1	no	—
1360	C₂²	—	4	1	no	—
1361	C₂²	—	4	1	no	—
1362	C₂²	—	4	1	no	—
1363	C₂²	—	4	1	no	—
1364	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1365	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1366	C₂²	C₅₃×#585	1	1	yes	characteristic
1367	C₂²	C₅₃×#585	1	1	yes	characteristic
1368	C₂²	C₅₃×#585	1	1	yes	characteristic
1369	C₂²	C₅₃×#585	1	1	yes	characteristic
1370	C₂²	C₅₃×#585	1	1	yes	characteristic
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	2	2	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	4	1	no	—
1390	C₄	—	4	1	no	—
1391	C₄	—	4	1	no	—
1392	C₄	—	4	1	no	—
1393	C₄	—	4	1	no	—
1394	C₄	—	4	1	no	—
1395	C₄	—	4	1	no	—
1396	C₄	—	4	1	no	—
1397	C₄	—	4	1	no	—
1398	C₂	—	4	2	no	—
1399	C₂	—	8	1	no	—
1400	C₂	—	8	1	no	—
1401	C₂	—	8	1	no	—
1402	C₂	C₅₃×#3455	1	1	yes	characteristic
1403	C₂	C₅₃×#3505	1	1	yes	characteristic
1404	C₂	C₅₃×#3512	1	1	yes	characteristic
1405	C₂	C₅₃×#3533	1	1	yes	characteristic
1406	C₂	C₅₃×#3540	1	1	yes	characteristic
1407	C₂	C₅₃×#3566	1	1	yes	characteristic
1408	C₂	C₅₃×#3567	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₃
prime radical	C₅₃×#2688	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₃×#2854	C₂	semidirect
2. C₅₃×#2851	C₂	semidirect
3. C₅₃×#2801	C₂	semidirect
4. C₅₃×#2797	C₂	semidirect
5. C₅₃×#2787	C₂	semidirect
6. C₅₃×#2782	C₂	semidirect
7. C₅₃×#2781	C₂	semidirect
8. C₅₃×#2779	C₂	semidirect
9. C₅₃×#2772	C₂	semidirect
10. C₅₃×#2772	C₂	semidirect
11. C₅₃×#2765	C₂	semidirect
12. C₅₃×#2761	C₂	semidirect
13. C₅₃×#2753	C₂	semidirect
14. C₅₃×#2746	C₂	semidirect
15. C₅₃×#2719	C₂	semidirect
16. C₅₃×#2711	C₂	semidirect
17. C₅₃×#2711	C₂	semidirect
19. C₅₃×#2630	C₂	semidirect
20. C₅₃×#2630	C₂	semidirect
21. C₅₃×#2597	C₂	semidirect
22. C₅₃×#2596	C₂	semidirect
23. C₅₃×#2576	C₂	semidirect
24. C₅₃×#2575	C₂	semidirect
25. C₅₃×#2531	C₂	semidirect
26. C₅₃×#2528	C₂	semidirect
27. C₅₃×#2476	C₂	semidirect
28. C₅₃×#2475	C₂	semidirect
29. C₅₃×#2335	C₂	semidirect
30. C₅₃×#2335	C₂	semidirect
31. C₅₃×#2290	C₂	semidirect
631. #36769	C₅₃	direct (N × H)
694. #2854	C₂×C₅₃	semidirect
695. #2851	C₂×C₅₃	semidirect
696. #2801	C₂×C₅₃	semidirect
697. #2797	C₂×C₅₃	semidirect
698. #2787	C₂×C₅₃	semidirect
699. #2782	C₂×C₅₃	semidirect
700. #2781	C₂×C₅₃	semidirect
701. #2779	C₂×C₅₃	semidirect
702. #2772	C₂×C₅₃	semidirect
703. #2772	C₂×C₅₃	semidirect
704. #2765	C₂×C₅₃	semidirect
705. #2761	C₂×C₅₃	semidirect
706. #2753	C₂×C₅₃	semidirect
707. #2746	C₂×C₅₃	semidirect
708. #2719	C₂×C₅₃	semidirect
709. #2711	C₂×C₅₃	semidirect
710. #2711	C₂×C₅₃	semidirect
712. #2630	C₂×C₅₃	semidirect
713. #2630	C₂×C₅₃	semidirect
714. #2597	C₂×C₅₃	semidirect
715. #2596	C₂×C₅₃	semidirect
716. #2576	C₂×C₅₃	semidirect
717. #2575	C₂×C₅₃	semidirect
718. #2531	C₂×C₅₃	semidirect
719. #2528	C₂×C₅₃	semidirect
720. #2476	C₂×C₅₃	semidirect
721. #2475	C₂×C₅₃	semidirect
722. #2335	C₂×C₅₃	semidirect
723. #2335	C₂×C₅₃	semidirect
724. #2290	C₂×C₅₃	semidirect
891. C₅₃	#36769	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅₃×#2854	2
C₅₃×#2851	2
C₅₃×#2801	2
C₅₃×#2797	2
C₅₃×#2787	2
C₅₃×#2782	2
C₅₃×#2781	2
C₅₃×#2779	2
C₅₃×#2772	2
C₅₃×#2765	2
C₅₃×#2761	2
C₅₃×#2753	2
C₅₃×#2746	2
C₅₃×#2719	2
C₅₃×#2711	2
C₅₃×#2688	2
C₅₃×#2630	2
C₅₃×#2597	2
C₅₃×#2596	2
C₅₃×#2576	2
C₅₃×#2575	2
C₅₃×#2531	2
C₅₃×#2528	2
C₅₃×#2476	2
C₅₃×#2475	2
C₅₃×#2335	2
C₅₃×#2290	2
#36769	53

Subgroups — C53×#36769 #27244281

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#36769 #27244281