Subgroups — C₅₃×#36779 #27244291

Order 13568.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#2852	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2781	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2781	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2778	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2765	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2764	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2761	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2756	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2749	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2743	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2741	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2735	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2735	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2730	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2702	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2684	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2623	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2618	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2510	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2488	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#2437	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2412	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2410	C₂	1	1	yes	maximal, characteristic
28	C₅₃×#2405	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#2308	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic
33	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
36	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
37	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
41	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
42	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
43	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
47	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
48	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
50	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
51	C₅₃×#401	C₂²	1	1	yes	characteristic, complemented
52	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
53	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
54	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
55	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
56	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
57	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
58	C₅₃×#399	C₂²	1	1	yes	characteristic
59	C₅₃×#399	C₂²	1	1	yes	characteristic, complemented
60	C₅₃×#399	C₂²	1	1	yes	characteristic, complemented
61	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
62	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
63	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
64	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
65	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
66	C₅₃×#397	C₂²	1	1	yes	characteristic
67	C₅₃×#397	C₂²	1	1	yes	characteristic
68	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
69	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
70	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
71	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
72	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
73	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
74	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
75	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
76	C₅₃×#396	C₂²	1	1	yes	characteristic
77	C₅₃×#396	C₂²	1	1	yes	characteristic
78	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
79	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
80	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
81	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
82	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
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×#394	C₂²	1	1	yes	characteristic
88	C₅₃×#394	C₂²	1	1	yes	characteristic
89	C₅₃×#394	C₂²	1	1	yes	characteristic
90	C₅₃×#394	C₂²	1	1	yes	characteristic
91	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
92	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
93	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
94	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
95	C₅₃×#393	C₂²	1	1	yes	characteristic
96	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
97	C₅₃×#392	C₂²	1	1	yes	characteristic
98	C₅₃×#392	C₂²	1	1	yes	characteristic
99	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
100	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
101	C₅₃×#390	C₂²	1	1	yes	characteristic
102	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
103	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
104	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
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, complemented
112	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
113	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
114	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
115	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
116	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
117	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
118	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
120	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
121	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
124	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
125	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
126	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
127	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
128	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
129	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
130	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
131	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
132	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
133	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
134	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
135	C₅₃×#386	C₂²	1	1	yes	characteristic
136	C₅₃×#386	C₂²	1	1	yes	characteristic
137	C₅₃×#386	C₂²	1	1	yes	characteristic
138	C₅₃×#386	C₂²	1	1	yes	characteristic
139	C₅₃×#386	C₂²	1	1	yes	characteristic
140	C₅₃×#386	C₂²	1	1	yes	characteristic
141	C₅₃×#386	C₂²	1	1	yes	characteristic
142	C₅₃×#386	C₂²	1	1	yes	characteristic
143	C₅₃×#386	C₂²	1	1	yes	characteristic
144	C₅₃×#386	C₂²	1	1	yes	characteristic
145	C₅₃×#386	C₂²	1	1	yes	characteristic
146	C₅₃×#386	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, complemented
150	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
151	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
152	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
153	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
154	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
155	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
156	C₅₃×#385	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, complemented
160	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
161	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
162	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
163	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
164	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
165	C₅₃×#383	C₂²	1	1	yes	characteristic, complemented
166	C₅₃×#383	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#382	C₂²	1	1	yes	characteristic, complemented
168	C₅₃×#382	C₂²	1	1	yes	characteristic, complemented
169	C₅₃×#381	C₂²	1	1	yes	characteristic
170	C₅₃×#381	C₂²	1	1	yes	characteristic
171	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
172	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
174	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
175	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#379	C₂²	1	1	yes	characteristic
179	C₅₃×#379	C₂²	1	1	yes	characteristic
180	C₅₃×#379	C₂²	1	1	yes	characteristic
181	C₅₃×#379	C₂²	1	1	yes	characteristic
182	C₅₃×#379	C₂²	1	1	yes	characteristic
183	C₅₃×#379	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
185	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic, complemented
186	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
188	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₅₃	—	2	4	no	—
191	C₂²×D₄×C₅₃	—	4	2	no	—
192	C₂²×D₄×C₅₃	—	4	2	no	—
193	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
212	#126×C₅₃	—	4	2	no	—
213	#124×C₅₃	—	4	2	no	—
214	#123×C₅₃	—	4	2	no	—
215	#123×C₅₃	—	4	2	no	—
216	#123×C₅₃	—	4	2	no	—
217	C₂²⋊Q₈×C₅₃	—	4	2	no	—
218	C₂²⋊Q₈×C₅₃	—	4	2	no	—
219	#121×C₅₃	—	4	2	no	—
220	#121×C₅₃	—	4	2	no	—
221	#120×C₅₃	—	2	4	no	—
222	#120×C₅₃	—	4	2	no	—
223	C₄×D₄×C₅₃	—	4	2	no	—
224	C₂×C₄⋊C₄×C₅₃	—	4	2	no	—
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×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊C₄×C₅₃	—	2	4	no	—
252	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
253	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
254	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
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×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₅₃	—	4	2	no	—
312	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
318	C₂×C₄²×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	#95×C₅₃	C₂³	1	1	yes	characteristic
352	#95×C₅₃	C₂³	1	1	yes	characteristic
353	#95×C₅₃	C₂³	1	1	yes	characteristic
354	#95×C₅₃	C₂³	1	1	yes	characteristic
355	#95×C₅₃	C₂³	1	1	yes	characteristic
356	#95×C₅₃	C₂³	1	1	yes	characteristic
357	#95×C₅₃	C₂³	1	1	yes	characteristic
358	#95×C₅₃	C₂³	1	1	yes	characteristic
359	#95×C₅₃	C₂³	1	1	yes	characteristic
360	#95×C₅₃	C₂³	1	1	yes	characteristic
361	#95×C₅₃	C₂³	1	1	yes	characteristic
362	#95×C₅₃	C₂³	1	1	yes	characteristic
363	C₂⁴×C₅₃	—	2	2	no	—
364	C₂⁴×C₅₃	—	2	2	no	—
365	C₂⁴×C₅₃	—	2	2	no	—
366	C₂⁴×C₅₃	—	4	1	no	—
367	C₂⁴×C₅₃	—	4	1	no	—
368	C₂⁴×C₅₃	—	4	1	no	—
369	C₂⁴×C₅₃	—	4	1	no	—
370	C₂⁴×C₅₃	—	4	1	no	—
371	C₂⁴×C₅₃	—	4	1	no	—
372	C₂⁴×C₅₃	—	4	1	no	—
373	C₂⁴×C₅₃	—	4	1	no	—
374	C₂⁴×C₅₃	—	4	1	no	—
375	C₂⁴×C₅₃	—	4	1	no	—
376	C₂⁴×C₅₃	#41	1	4	yes	—
377	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
383	C₂×Q₈×C₅₃	—	2	2	no	—
384	C₂×Q₈×C₅₃	—	4	1	no	—
385	C₂×Q₈×C₅₃	—	4	1	no	—
386	C₂×D₄×C₅₃	—	2	2	no	—
387	C₂×D₄×C₅₃	—	2	2	no	—
388	C₂×D₄×C₅₃	—	2	2	no	—
389	C₂×D₄×C₅₃	—	2	2	no	—
390	C₂×D₄×C₅₃	—	2	2	no	—
391	C₂×D₄×C₅₃	—	2	2	no	—
392	C₂×D₄×C₅₃	—	2	2	no	—
393	C₂×D₄×C₅₃	—	2	2	no	—
394	C₂×D₄×C₅₃	—	2	2	no	—
395	C₂×D₄×C₅₃	—	2	2	no	—
396	C₂×D₄×C₅₃	—	2	2	no	—
397	C₂×D₄×C₅₃	—	2	2	no	—
398	C₂×D₄×C₅₃	—	2	2	no	—
399	C₂×D₄×C₅₃	—	2	2	no	—
400	C₂×D₄×C₅₃	—	4	1	no	—
401	C₂×D₄×C₅₃	—	4	1	no	—
402	C₂×D₄×C₅₃	—	4	1	no	—
403	C₂×D₄×C₅₃	—	4	1	no	—
404	C₂×D₄×C₅₃	—	4	1	no	—
405	C₂×D₄×C₅₃	—	4	1	no	—
406	C₂×D₄×C₅₃	—	4	1	no	—
407	C₂×D₄×C₅₃	—	4	1	no	—
408	C₂×D₄×C₅₃	—	4	1	no	—
409	C₂×D₄×C₅₃	—	4	1	no	—
410	C₂×D₄×C₅₃	—	4	1	no	—
411	C₂×D₄×C₅₃	—	4	1	no	—
412	C₂×D₄×C₅₃	—	4	1	no	—
413	C₂×D₄×C₅₃	—	4	16	no	—
414	C₂²×C₄×C₅₃	—	2	2	no	—
415	C₂²×C₄×C₅₃	—	2	2	no	—
416	C₂²×C₄×C₅₃	—	2	2	no	—
417	C₂²×C₄×C₅₃	—	2	2	no	—
418	C₂²×C₄×C₅₃	—	2	2	no	—
419	C₂²×C₄×C₅₃	—	2	2	no	—
420	C₂²×C₄×C₅₃	—	2	2	no	—
421	C₂²×C₄×C₅₃	—	2	2	no	—
422	C₂²×C₄×C₅₃	—	2	2	no	—
423	C₂²×C₄×C₅₃	—	2	2	no	—
424	C₂²×C₄×C₅₃	—	4	1	no	—
425	C₂²×C₄×C₅₃	—	4	1	no	—
426	C₂²×C₄×C₅₃	—	4	1	no	—
427	C₂²×C₄×C₅₃	—	4	1	no	—
428	C₂²×C₄×C₅₃	—	4	1	no	—
429	C₂²×C₄×C₅₃	—	4	1	no	—
430	C₂²×C₄×C₅₃	—	4	1	no	—
431	C₂²×C₄×C₅₃	—	4	1	no	—
432	C₂²×C₄×C₅₃	—	4	1	no	—
433	C₂²×C₄×C₅₃	—	4	1	no	—
434	C₂²×C₄×C₅₃	—	4	1	no	—
435	C₂²×C₄×C₅₃	—	4	1	no	—
436	C₂²×C₄×C₅₃	—	4	1	no	—
437	C₂²×C₄×C₅₃	—	4	1	no	—
438	C₂²×C₄×C₅₃	—	4	1	no	—
439	C₂²×C₄×C₅₃	—	4	1	no	—
440	C₂²×C₄×C₅₃	—	4	1	no	—
441	C₂²×C₄×C₅₃	—	4	1	no	—
442	C₂²×C₄×C₅₃	—	4	1	no	—
443	C₂²×C₄×C₅₃	—	4	1	no	—
444	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
469	C₄⋊C₄×C₅₃	—	2	2	no	—
470	C₄⋊C₄×C₅₃	—	4	1	no	—
471	C₄⋊C₄×C₅₃	—	4	1	no	—
472	C₄⋊C₄×C₅₃	—	4	1	no	—
473	C₄⋊C₄×C₅₃	—	4	1	no	—
474	C₄⋊C₄×C₅₃	—	4	1	no	—
475	C₄⋊C₄×C₅₃	—	4	1	no	—
476	C₄⋊C₄×C₅₃	—	4	1	no	—
477	C₄⋊C₄×C₅₃	—	4	1	no	—
478	C₄⋊C₄×C₅₃	—	4	1	no	—
479	C₄⋊C₄×C₅₃	—	4	1	no	—
480	C₄⋊C₄×C₅₃	—	4	1	no	—
481	C₄⋊C₄×C₅₃	—	4	1	no	—
482	C₄⋊C₄×C₅₃	—	4	1	no	—
483	C₄⋊C₄×C₅₃	—	4	1	no	—
484	C₄⋊C₄×C₅₃	—	4	1	no	—
485	C₄⋊C₄×C₅₃	—	4	1	no	—
486	C₄⋊C₄×C₅₃	—	4	1	no	—
487	C₄⋊C₄×C₅₃	—	4	1	no	—
488	C₄⋊C₄×C₅₃	—	4	1	no	—
489	C₄⋊C₄×C₅₃	—	4	1	no	—
490	C₄⋊C₄×C₅₃	—	4	1	no	—
491	C₄⋊C₄×C₅₃	—	4	1	no	—
492	C₄⋊C₄×C₅₃	—	4	1	no	—
493	C₄⋊C₄×C₅₃	—	4	1	no	—
494	C₄⋊C₄×C₅₃	—	4	1	no	—
495	C₂²⋊C₄×C₅₃	—	2	2	no	—
496	C₂²⋊C₄×C₅₃	—	2	2	no	—
497	C₂²⋊C₄×C₅₃	—	2	2	no	—
498	C₂²⋊C₄×C₅₃	—	2	2	no	—
499	C₂²⋊C₄×C₅₃	—	2	2	no	—
500	C₂²⋊C₄×C₅₃	—	2	2	no	—
501	C₂²⋊C₄×C₅₃	—	2	2	no	—
502	C₂²⋊C₄×C₅₃	—	2	2	no	—
503	C₂²⋊C₄×C₅₃	—	2	2	no	—
504	C₂²⋊C₄×C₅₃	—	2	2	no	—
505	C₂²⋊C₄×C₅₃	—	2	2	no	—
506	C₂²⋊C₄×C₅₃	—	2	2	no	—
507	C₂²⋊C₄×C₅₃	—	2	2	no	—
508	C₂²⋊C₄×C₅₃	—	2	2	no	—
509	C₂²⋊C₄×C₅₃	—	4	1	no	—
510	C₂²⋊C₄×C₅₃	—	4	1	no	—
511	C₂²⋊C₄×C₅₃	—	4	1	no	—
512	C₂²⋊C₄×C₅₃	—	4	1	no	—
513	C₂²⋊C₄×C₅₃	—	4	1	no	—
514	C₂²⋊C₄×C₅₃	—	4	1	no	—
515	C₂²⋊C₄×C₅₃	—	4	1	no	—
516	C₂²⋊C₄×C₅₃	—	4	1	no	—
517	C₂²⋊C₄×C₅₃	—	4	1	no	—
518	C₂²⋊C₄×C₅₃	—	4	1	no	—
519	C₂²⋊C₄×C₅₃	—	4	1	no	—
520	C₂²⋊C₄×C₅₃	—	4	1	no	—
521	C₂²⋊C₄×C₅₃	—	4	1	no	—
522	C₂²⋊C₄×C₅₃	—	4	1	no	—
523	C₂²⋊C₄×C₅₃	—	4	1	no	—
524	C₂²⋊C₄×C₅₃	—	4	1	no	—
525	C₂²⋊C₄×C₅₃	—	4	1	no	—
526	C₂²⋊C₄×C₅₃	—	4	1	no	—
527	C₂²⋊C₄×C₅₃	—	4	1	no	—
528	C₂²⋊C₄×C₅₃	—	4	1	no	—
529	C₂²⋊C₄×C₅₃	—	4	1	no	—
530	C₂²⋊C₄×C₅₃	—	4	1	no	—
531	C₂²⋊C₄×C₅₃	—	4	1	no	—
532	C₂²⋊C₄×C₅₃	—	4	1	no	—
533	C₂²⋊C₄×C₅₃	—	4	1	no	—
534	C₂²⋊C₄×C₅₃	—	4	1	no	—
535	C₂²⋊C₄×C₅₃	—	4	1	no	—
536	C₂²⋊C₄×C₅₃	—	4	1	no	—
537	C₂²⋊C₄×C₅₃	—	4	1	no	—
538	C₂²⋊C₄×C₅₃	—	4	1	no	—
539	C₂²⋊C₄×C₅₃	—	4	1	no	—
540	C₂²⋊C₄×C₅₃	—	4	1	no	—
541	C₂²⋊C₄×C₅₃	—	4	1	no	—
542	C₂²⋊C₄×C₅₃	—	4	1	no	—
543	C₂²⋊C₄×C₅₃	—	4	1	no	—
544	C₂²⋊C₄×C₅₃	—	4	1	no	—
545	C₂²⋊C₄×C₅₃	—	4	1	no	—
546	C₂²⋊C₄×C₅₃	—	4	1	no	—
547	C₂²⋊C₄×C₅₃	—	4	1	no	—
548	C₂²⋊C₄×C₅₃	—	4	1	no	—
549	C₂²⋊C₄×C₅₃	—	4	1	no	—
550	C₂²⋊C₄×C₅₃	—	4	1	no	—
551	C₄²×C₅₃	—	2	2	no	—
552	C₄²×C₅₃	—	2	2	no	—
553	C₄²×C₅₃	—	4	1	no	—
554	C₄²×C₅₃	—	4	1	no	—
555	C₄²×C₅₃	—	4	1	no	—
556	C₄²×C₅₃	—	4	1	no	—
557	C₄²×C₅₃	—	4	1	no	—
558	C₂³×C₅₃	—	2	1	no	—
559	C₂³×C₅₃	—	2	1	no	—
560	C₂³×C₅₃	—	2	1	no	—
561	C₂³×C₅₃	—	2	1	no	—
562	C₂³×C₅₃	—	2	1	no	—
563	C₂³×C₅₃	—	2	1	no	—
564	C₂³×C₅₃	—	2	1	no	—
565	C₂³×C₅₃	—	2	1	no	—
566	C₂³×C₅₃	—	2	1	no	—
567	C₂³×C₅₃	—	2	1	no	—
568	C₂³×C₅₃	—	2	1	no	—
569	C₂³×C₅₃	—	2	1	no	—
570	C₂³×C₅₃	—	2	1	no	—
571	C₂³×C₅₃	—	2	1	no	—
572	C₂³×C₅₃	—	2	1	no	—
573	C₂³×C₅₃	—	2	1	no	—
574	C₂³×C₅₃	—	2	8	no	—
575	C₂³×C₅₃	—	2	1	no	—
576	C₂³×C₅₃	—	2	1	no	—
577	C₂³×C₅₃	—	2	1	no	—
578	C₂³×C₅₃	—	2	1	no	—
579	C₂³×C₅₃	—	2	1	no	—
580	C₂³×C₅₃	—	2	1	no	—
581	C₂³×C₅₃	—	2	1	no	—
582	C₂³×C₅₃	—	2	1	no	—
583	C₂³×C₅₃	—	2	1	no	—
584	C₂³×C₅₃	—	2	1	no	—
585	C₂³×C₅₃	—	2	1	no	—
586	C₂³×C₅₃	—	2	1	no	—
587	C₂³×C₅₃	—	2	1	no	—
588	C₂³×C₅₃	—	2	1	no	—
589	C₂³×C₅₃	—	2	1	no	—
590	C₂³×C₅₃	—	2	1	no	—
591	C₂³×C₅₃	—	2	1	no	—
592	C₂³×C₅₃	—	2	1	no	—
593	C₂³×C₅₃	—	2	1	no	—
594	C₂³×C₅₃	—	2	1	no	—
595	C₂³×C₅₃	—	2	1	no	—
596	C₂³×C₅₃	—	4	4	no	—
597	C₂³×C₅₃	—	4	4	no	—
598	C₂³×C₅₃	—	4	4	no	—
599	C₂³×C₅₃	—	8	2	no	—
600	C₂³×C₅₃	—	8	2	no	—
601	C₂³×C₅₃	—	8	2	no	—
602	C₂³×C₅₃	—	8	2	no	—
603	C₂³×C₅₃	—	8	2	no	—
604	C₂³×C₅₃	—	8	2	no	—
605	C₂³×C₅₃	—	8	2	no	—
606	C₂³×C₅₃	—	8	2	no	—
607	C₂³×C₅₃	—	8	2	no	—
608	C₂³×C₅₃	—	8	2	no	—
609	C₂³×C₅₃	C₂×#41	1	2	yes	—
610	C₂³×C₅₃	C₂×#41	1	2	yes	—
611	C₂³×C₅₃	C₂×#41	1	2	yes	—
612	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
613	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
614	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
615	Q₈×C₅₃	—	8	2	no	—
616	D₄×C₅₃	—	4	4	no	—
617	D₄×C₅₃	—	4	4	no	—
618	D₄×C₅₃	—	4	4	no	—
619	D₄×C₅₃	—	4	4	no	—
620	D₄×C₅₃	—	4	4	no	—
621	D₄×C₅₃	—	8	2	no	—
622	D₄×C₅₃	—	8	2	no	—
623	D₄×C₅₃	—	8	2	no	—
624	D₄×C₅₃	—	8	2	no	—
625	C₂×C₄×C₅₃	—	2	1	no	—
626	C₂×C₄×C₅₃	—	2	1	no	—
627	C₂×C₄×C₅₃	—	2	1	no	—
628	C₂×C₄×C₅₃	—	2	1	no	—
629	C₂×C₄×C₅₃	—	2	1	no	—
630	C₂×C₄×C₅₃	—	2	1	no	—
631	C₂×C₄×C₅₃	—	2	1	no	—
632	C₂×C₄×C₅₃	—	2	1	no	—
633	C₂×C₄×C₅₃	—	2	1	no	—
634	C₂×C₄×C₅₃	—	2	1	no	—
635	C₂×C₄×C₅₃	—	2	1	no	—
636	C₂×C₄×C₅₃	—	2	1	no	—
637	C₂×C₄×C₅₃	—	2	1	no	—
638	C₂×C₄×C₅₃	—	2	1	no	—
639	C₂×C₄×C₅₃	—	2	1	no	—
640	C₂×C₄×C₅₃	—	2	1	no	—
641	C₂×C₄×C₅₃	—	2	1	no	—
642	C₂×C₄×C₅₃	—	2	1	no	—
643	C₂×C₄×C₅₃	—	2	1	no	—
644	C₂×C₄×C₅₃	—	2	1	no	—
645	C₂×C₄×C₅₃	—	2	1	no	—
646	C₂×C₄×C₅₃	—	2	1	no	—
647	C₂×C₄×C₅₃	—	2	1	no	—
648	C₂×C₄×C₅₃	—	2	1	no	—
649	C₂×C₄×C₅₃	—	2	1	no	—
650	C₂×C₄×C₅₃	—	2	1	no	—
651	C₂×C₄×C₅₃	—	2	1	no	—
652	C₂×C₄×C₅₃	—	2	1	no	—
653	C₂×C₄×C₅₃	—	2	1	no	—
654	C₂×C₄×C₅₃	—	2	1	no	—
655	C₂×C₄×C₅₃	—	2	1	no	—
656	C₂×C₄×C₅₃	—	2	1	no	—
657	C₂×C₄×C₅₃	—	2	1	no	—
658	C₂×C₄×C₅₃	—	2	1	no	—
659	C₂×C₄×C₅₃	—	2	1	no	—
660	C₂×C₄×C₅₃	—	2	1	no	—
661	C₂×C₄×C₅₃	—	2	1	no	—
662	C₂×C₄×C₅₃	—	2	1	no	—
663	C₂×C₄×C₅₃	—	2	1	no	—
664	C₂×C₄×C₅₃	—	2	1	no	—
665	C₂×C₄×C₅₃	—	2	1	no	—
666	C₂×C₄×C₅₃	—	2	1	no	—
667	C₂×C₄×C₅₃	—	2	1	no	—
668	C₂×C₄×C₅₃	—	2	1	no	—
669	C₂×C₄×C₅₃	—	2	1	no	—
670	C₂×C₄×C₅₃	—	2	1	no	—
671	C₂×C₄×C₅₃	—	2	1	no	—
672	C₂×C₄×C₅₃	—	2	1	no	—
673	C₂×C₄×C₅₃	—	2	1	no	—
674	C₂×C₄×C₅₃	—	2	1	no	—
675	C₂×C₄×C₅₃	—	2	1	no	—
676	C₂×C₄×C₅₃	—	2	1	no	—
677	C₂×C₄×C₅₃	—	2	1	no	—
678	C₂×C₄×C₅₃	—	2	1	no	—
679	C₂×C₄×C₅₃	—	2	1	no	—
680	C₂×C₄×C₅₃	—	2	1	no	—
681	C₂×C₄×C₅₃	—	2	1	no	—
682	C₂×C₄×C₅₃	—	2	1	no	—
683	C₂×C₄×C₅₃	—	2	1	no	—
684	C₂×C₄×C₅₃	—	2	1	no	—
685	C₂×C₄×C₅₃	—	2	1	no	—
686	C₂×C₄×C₅₃	—	2	1	no	—
687	C₂×C₄×C₅₃	—	2	1	no	—
688	C₂×C₄×C₅₃	—	2	1	no	—
689	C₂×C₄×C₅₃	—	2	1	no	—
690	C₂×C₄×C₅₃	—	2	1	no	—
691	C₂×C₄×C₅₃	—	2	1	no	—
692	C₂×C₄×C₅₃	—	2	1	no	—
693	C₂×C₄×C₅₃	—	2	1	no	—
694	C₂×C₄×C₅₃	—	2	1	no	—
695	C₂×C₄×C₅₃	—	2	1	no	—
696	C₂×C₄×C₅₃	—	2	1	no	—
697	C₂×C₄×C₅₃	—	2	1	no	—
698	C₂×C₄×C₅₃	—	2	1	no	—
699	C₂×C₄×C₅₃	—	4	4	no	—
700	C₂×C₄×C₅₃	—	4	4	no	—
701	C₂×C₄×C₅₃	—	4	4	no	—
702	C₂×C₄×C₅₃	—	4	4	no	—
703	C₂×C₄×C₅₃	—	4	4	no	—
704	C₂×C₄×C₅₃	—	8	2	no	—
705	C₂×C₄×C₅₃	—	8	2	no	—
706	C₂×C₄×C₅₃	—	8	2	no	—
707	C₂×C₄×C₅₃	—	8	2	no	—
708	C₂×C₄×C₅₃	—	8	2	no	—
709	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
710	#36779	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
711	C₂²×C₅₃	—	2	2	no	—
712	C₂²×C₅₃	—	2	2	no	—
713	C₂²×C₅₃	—	2	2	no	—
714	C₂²×C₅₃	—	2	2	no	—
715	C₂²×C₅₃	—	2	2	no	—
716	C₂²×C₅₃	—	2	2	no	—
717	C₂²×C₅₃	—	2	2	no	—
718	C₂²×C₅₃	—	2	2	no	—
719	C₂²×C₅₃	—	2	2	no	—
720	C₂²×C₅₃	—	2	2	no	—
721	C₂²×C₅₃	—	2	2	no	—
722	C₂²×C₅₃	—	2	2	no	—
723	C₂²×C₅₃	—	4	1	no	—
724	C₂²×C₅₃	—	4	1	no	—
725	C₂²×C₅₃	—	4	1	no	—
726	C₂²×C₅₃	—	4	1	no	—
727	C₂²×C₅₃	—	4	1	no	—
728	C₂²×C₅₃	—	4	1	no	—
729	C₂²×C₅₃	—	4	1	no	—
730	C₂²×C₅₃	—	4	1	no	—
731	C₂²×C₅₃	—	4	1	no	—
732	C₂²×C₅₃	—	4	1	no	—
733	C₂²×C₅₃	—	4	1	no	—
734	C₂²×C₅₃	—	4	1	no	—
735	C₂²×C₅₃	—	4	1	no	—
736	C₂²×C₅₃	—	4	1	no	—
737	C₂²×C₅₃	—	4	1	no	—
738	C₂²×C₅₃	—	4	1	no	—
739	C₂²×C₅₃	—	4	1	no	—
740	C₂²×C₅₃	—	4	1	no	—
741	C₂²×C₅₃	—	4	1	no	—
742	C₂²×C₅₃	—	4	1	no	—
743	C₂²×C₅₃	—	4	1	no	—
744	C₂²×C₅₃	—	4	1	no	—
745	C₂²×C₅₃	—	4	1	no	—
746	C₂²×C₅₃	—	4	1	no	—
747	C₂²×C₅₃	—	4	1	no	—
748	C₂²×C₅₃	—	4	1	no	—
749	C₂²×C₅₃	—	4	1	no	—
750	C₂²×C₅₃	—	4	1	no	—
751	C₂²×C₅₃	—	4	1	no	—
752	C₂²×C₅₃	—	8	8	no	—
753	C₂²×C₅₃	—	8	8	no	—
754	C₂²×C₅₃	#538	1	4	yes	—
755	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
756	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
757	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
758	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
759	C₂²×C₅₃	#585	1	1	yes	characteristic
760	C₂²×C₅₃	#585	1	1	yes	characteristic
761	C₂²×C₅₃	#585	1	1	yes	characteristic
762	C₄×C₅₃	—	2	2	no	—
763	C₄×C₅₃	—	4	1	no	—
764	C₄×C₅₃	—	4	1	no	—
765	C₄×C₅₃	—	4	1	no	—
766	C₄×C₅₃	—	4	1	no	—
767	C₄×C₅₃	—	4	1	no	—
768	C₄×C₅₃	—	4	1	no	—
769	C₄×C₅₃	—	4	1	no	—
770	C₄×C₅₃	—	4	1	no	—
771	C₄×C₅₃	—	4	1	no	—
772	C₄×C₅₃	—	4	1	no	—
773	C₄×C₅₃	—	4	1	no	—
774	C₄×C₅₃	—	4	1	no	—
775	C₄×C₅₃	—	4	1	no	—
776	C₄×C₅₃	—	4	1	no	—
777	C₄×C₅₃	—	4	1	no	—
778	C₄×C₅₃	—	4	1	no	—
779	C₄×C₅₃	—	4	1	no	—
780	C₄×C₅₃	—	4	1	no	—
781	C₄×C₅₃	—	4	1	no	—
782	C₄×C₅₃	—	4	1	no	—
783	C₄×C₅₃	—	4	1	no	—
784	C₄×C₅₃	—	4	1	no	—
785	C₄×C₅₃	—	4	1	no	—
786	C₄×C₅₃	—	4	1	no	—
787	#2852	C₂×C₅₃	1	1	yes	characteristic, complemented
788	#2850	C₂×C₅₃	1	1	yes	characteristic, complemented
789	#2781	C₂×C₅₃	1	1	yes	characteristic, complemented
790	#2781	C₂×C₅₃	1	1	yes	characteristic, complemented
791	#2778	C₂×C₅₃	1	1	yes	characteristic, complemented
792	#2765	C₂×C₅₃	1	1	yes	characteristic, complemented
793	#2764	C₂×C₅₃	1	1	yes	characteristic, complemented
794	#2761	C₂×C₅₃	1	1	yes	characteristic, complemented
795	#2756	C₂×C₅₃	1	1	yes	characteristic, complemented
796	#2749	C₂×C₅₃	1	1	yes	characteristic, complemented
797	#2743	C₂×C₅₃	1	1	yes	characteristic, complemented
798	#2741	C₂×C₅₃	1	1	yes	characteristic, complemented
799	#2735	C₂×C₅₃	1	1	yes	characteristic, complemented
800	#2735	C₂×C₅₃	1	1	yes	characteristic, complemented
801	#2730	C₂×C₅₃	1	1	yes	characteristic, complemented
802	#2702	C₂×C₅₃	1	1	yes	characteristic, complemented
803	#2685	C₂×C₅₃	1	1	yes	characteristic, complemented
804	#2684	C₂×C₅₃	1	1	yes	characteristic, complemented
805	#2623	C₂×C₅₃	1	1	yes	characteristic, complemented
806	#2618	C₂×C₅₃	1	1	yes	characteristic, complemented
807	#2510	C₂×C₅₃	1	1	yes	characteristic, complemented
808	#2488	C₂×C₅₃	1	1	yes	characteristic, complemented
809	#2444	C₂×C₅₃	1	1	yes	characteristic, complemented
810	#2437	C₂×C₅₃	1	1	yes	characteristic, complemented
811	#2425	C₂×C₅₃	1	1	yes	characteristic, complemented
812	#2412	C₂×C₅₃	1	1	yes	characteristic, complemented
813	#2410	C₂×C₅₃	1	1	yes	characteristic
814	#2405	C₂×C₅₃	1	1	yes	characteristic, complemented
815	#2321	C₂×C₅₃	1	1	yes	characteristic, complemented
816	#2308	C₂×C₅₃	1	1	yes	characteristic, complemented
817	C₂×#388	C₂×C₅₃	1	1	yes	characteristic, complemented
818	C₂×C₅₃	—	2	4	no	—
819	C₂×C₅₃	—	4	2	no	—
820	C₂×C₅₃	—	4	2	no	—
821	C₂×C₅₃	—	8	1	no	—
822	C₂×C₅₃	—	8	1	no	—
823	C₂×C₅₃	—	8	1	no	—
824	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
825	C₂×C₅₃	#3491	1	1	yes	characteristic
826	C₂×C₅₃	#3505	1	1	yes	characteristic
827	C₂×C₅₃	#3534	1	1	yes	characteristic
828	C₂×C₅₃	#3542	1	1	yes	characteristic
829	C₂×C₅₃	#3545	1	1	yes	characteristic
830	C₂×C₅₃	#3560	1	1	yes	characteristic
831	C₂³×D₄	C₂²×C₅₃	1	1	yes	characteristic
832	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
833	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic, complemented
834	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
835	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
836	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
837	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
838	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
839	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
840	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
841	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
842	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
843	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
844	C₂²×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
845	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
846	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
847	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
848	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
849	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic, complemented
850	#401	C₂²×C₅₃	1	1	yes	characteristic, complemented
851	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
852	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
853	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
854	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
855	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
856	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
857	#399	C₂²×C₅₃	1	1	yes	characteristic
858	#399	C₂²×C₅₃	1	1	yes	characteristic, complemented
859	#399	C₂²×C₅₃	1	1	yes	characteristic, complemented
860	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
861	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
862	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
863	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
864	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
865	#397	C₂²×C₅₃	1	1	yes	characteristic
866	#397	C₂²×C₅₃	1	1	yes	characteristic
867	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
868	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
869	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
870	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
871	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
872	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
873	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
874	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
875	#396	C₂²×C₅₃	1	1	yes	characteristic
876	#396	C₂²×C₅₃	1	1	yes	characteristic
877	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
878	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
879	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
880	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
881	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
882	#394	C₂²×C₅₃	1	1	yes	characteristic
883	#394	C₂²×C₅₃	1	1	yes	characteristic
884	#394	C₂²×C₅₃	1	1	yes	characteristic
885	#394	C₂²×C₅₃	1	1	yes	characteristic
886	#394	C₂²×C₅₃	1	1	yes	characteristic
887	#394	C₂²×C₅₃	1	1	yes	characteristic
888	#394	C₂²×C₅₃	1	1	yes	characteristic
889	#394	C₂²×C₅₃	1	1	yes	characteristic
890	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
891	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
892	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
893	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
894	#393	C₂²×C₅₃	1	1	yes	characteristic
895	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
896	#392	C₂²×C₅₃	1	1	yes	characteristic
897	#392	C₂²×C₅₃	1	1	yes	characteristic
898	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
899	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
900	#390	C₂²×C₅₃	1	1	yes	characteristic
901	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
902	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
903	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
904	#388	C₂²×C₅₃	1	1	yes	characteristic
905	#388	C₂²×C₅₃	1	1	yes	characteristic
906	#388	C₂²×C₅₃	1	1	yes	characteristic
907	#388	C₂²×C₅₃	1	1	yes	characteristic
908	#388	C₂²×C₅₃	1	1	yes	characteristic
909	#388	C₂²×C₅₃	1	1	yes	characteristic
910	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
911	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
912	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
913	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
914	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
915	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
916	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
917	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
918	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
919	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
920	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
921	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
922	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
923	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
924	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
925	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
926	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
927	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
928	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
929	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
930	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
931	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
932	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
933	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
934	#386	C₂²×C₅₃	1	1	yes	characteristic
935	#386	C₂²×C₅₃	1	1	yes	characteristic
936	#386	C₂²×C₅₃	1	1	yes	characteristic
937	#386	C₂²×C₅₃	1	1	yes	characteristic
938	#386	C₂²×C₅₃	1	1	yes	characteristic
939	#386	C₂²×C₅₃	1	1	yes	characteristic
940	#386	C₂²×C₅₃	1	1	yes	characteristic
941	#386	C₂²×C₅₃	1	1	yes	characteristic
942	#386	C₂²×C₅₃	1	1	yes	characteristic
943	#386	C₂²×C₅₃	1	1	yes	characteristic
944	#386	C₂²×C₅₃	1	1	yes	characteristic
945	#386	C₂²×C₅₃	1	1	yes	characteristic
946	#386	C₂²×C₅₃	1	1	yes	characteristic
947	#386	C₂²×C₅₃	1	1	yes	characteristic
948	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
949	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
950	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
951	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
952	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
953	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
954	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	#385	C₂²×C₅₃	1	1	yes	characteristic
956	#385	C₂²×C₅₃	1	1	yes	characteristic
957	#385	C₂²×C₅₃	1	1	yes	characteristic
958	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
959	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
962	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
963	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
964	#383	C₂²×C₅₃	1	1	yes	characteristic, complemented
965	#383	C₂²×C₅₃	1	1	yes	characteristic, complemented
966	#382	C₂²×C₅₃	1	1	yes	characteristic, complemented
967	#382	C₂²×C₅₃	1	1	yes	characteristic, complemented
968	#381	C₂²×C₅₃	1	1	yes	characteristic
969	#381	C₂²×C₅₃	1	1	yes	characteristic
970	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
971	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
972	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
973	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
974	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
976	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
977	#379	C₂²×C₅₃	1	1	yes	characteristic
978	#379	C₂²×C₅₃	1	1	yes	characteristic
979	#379	C₂²×C₅₃	1	1	yes	characteristic
980	#379	C₂²×C₅₃	1	1	yes	characteristic
981	#379	C₂²×C₅₃	1	1	yes	characteristic
982	#379	C₂²×C₅₃	1	1	yes	characteristic
983	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
984	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic, complemented
985	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic, complemented
986	C₅₃	#36779	1	1	yes	characteristic, direct product factor, Sylow
987	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
988	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
989	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
990	C₂²×D₄	—	2	4	no	—
991	C₂²×D₄	—	4	2	no	—
992	C₂²×D₄	—	4	2	no	—
993	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
994	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
995	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
996	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
997	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
998	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
999	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1000	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1001	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1002	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1003	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1004	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1005	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1006	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1007	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1008	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1009	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1010	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1011	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1012	#126	—	4	2	no	—
1013	#124	—	4	2	no	—
1014	#123	—	4	2	no	—
1015	#123	—	4	2	no	—
1016	#123	—	4	2	no	—
1017	C₂²⋊Q₈	—	4	2	no	—
1018	C₂²⋊Q₈	—	4	2	no	—
1019	#121	—	4	2	no	—
1020	#121	—	4	2	no	—
1021	#120	—	2	4	no	—
1022	#120	—	4	2	no	—
1023	C₄×D₄	—	4	2	no	—
1024	C₂×C₄⋊C₄	—	4	2	no	—
1025	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	—	2	4	no	—
1052	C₂×C₂²⋊C₄	—	4	2	no	—
1053	C₂×C₂²⋊C₄	—	4	2	no	—
1054	C₂×C₂²⋊C₄	—	4	2	no	—
1055	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1111	C₂×C₄²	—	4	2	no	—
1112	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1113	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1114	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1115	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1116	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1117	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1118	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1119	#95	C₂³×C₅₃	1	1	yes	characteristic
1120	#95	C₂³×C₅₃	1	1	yes	characteristic
1121	#95	C₂³×C₅₃	1	1	yes	characteristic
1122	#95	C₂³×C₅₃	1	1	yes	characteristic
1123	#95	C₂³×C₅₃	1	1	yes	characteristic
1124	#95	C₂³×C₅₃	1	1	yes	characteristic
1125	#95	C₂³×C₅₃	1	1	yes	characteristic
1126	#95	C₂³×C₅₃	1	1	yes	characteristic
1127	#95	C₂³×C₅₃	1	1	yes	characteristic
1128	#95	C₂³×C₅₃	1	1	yes	characteristic
1129	#95	C₂³×C₅₃	1	1	yes	characteristic
1130	#95	C₂³×C₅₃	1	1	yes	characteristic
1131	#95	C₂³×C₅₃	1	1	yes	characteristic
1132	#95	C₂³×C₅₃	1	1	yes	characteristic
1133	#95	C₂³×C₅₃	1	1	yes	characteristic
1134	#95	C₂³×C₅₃	1	1	yes	characteristic
1135	#95	C₂³×C₅₃	1	1	yes	characteristic
1136	#95	C₂³×C₅₃	1	1	yes	characteristic
1137	#95	C₂³×C₅₃	1	1	yes	characteristic
1138	#95	C₂³×C₅₃	1	1	yes	characteristic
1139	#95	C₂³×C₅₃	1	1	yes	characteristic
1140	#95	C₂³×C₅₃	1	1	yes	characteristic
1141	#95	C₂³×C₅₃	1	1	yes	characteristic
1142	#95	C₂³×C₅₃	1	1	yes	characteristic
1143	#95	C₂³×C₅₃	1	1	yes	characteristic
1144	#95	C₂³×C₅₃	1	1	yes	characteristic
1145	#95	C₂³×C₅₃	1	1	yes	characteristic
1146	#95	C₂³×C₅₃	1	1	yes	characteristic
1147	#95	C₂³×C₅₃	1	1	yes	characteristic
1148	#95	C₂³×C₅₃	1	1	yes	characteristic
1149	#95	C₂³×C₅₃	1	1	yes	characteristic
1150	#95	C₂³×C₅₃	1	1	yes	characteristic
1151	#95	C₂³×C₅₃	1	1	yes	characteristic
1152	#95	C₂³×C₅₃	1	1	yes	characteristic
1153	#95	C₂³×C₅₃	1	1	yes	characteristic
1154	#95	C₂³×C₅₃	1	1	yes	characteristic
1155	#95	C₂³×C₅₃	1	1	yes	characteristic
1156	#95	C₂³×C₅₃	1	1	yes	characteristic
1157	#95	C₂³×C₅₃	1	1	yes	characteristic
1158	#95	C₂³×C₅₃	1	1	yes	characteristic
1159	#95	C₂³×C₅₃	1	1	yes	characteristic
1160	#95	C₂³×C₅₃	1	1	yes	characteristic
1161	#95	C₂³×C₅₃	1	1	yes	characteristic
1162	#95	C₂³×C₅₃	1	1	yes	characteristic
1163	C₂⁴	—	2	2	no	—
1164	C₂⁴	—	2	2	no	—
1165	C₂⁴	—	2	2	no	—
1166	C₂⁴	—	4	1	no	—
1167	C₂⁴	—	4	1	no	—
1168	C₂⁴	—	4	1	no	—
1169	C₂⁴	—	4	1	no	—
1170	C₂⁴	—	4	1	no	—
1171	C₂⁴	—	4	1	no	—
1172	C₂⁴	—	4	1	no	—
1173	C₂⁴	—	4	1	no	—
1174	C₂⁴	—	4	1	no	—
1175	C₂⁴	—	4	1	no	—
1176	C₂⁴	#41×C₅₃	1	4	yes	—
1177	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1178	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1179	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1180	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1181	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1182	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1183	C₂×Q₈	—	2	2	no	—
1184	C₂×Q₈	—	4	1	no	—
1185	C₂×Q₈	—	4	1	no	—
1186	C₂×D₄	—	2	2	no	—
1187	C₂×D₄	—	2	2	no	—
1188	C₂×D₄	—	2	2	no	—
1189	C₂×D₄	—	2	2	no	—
1190	C₂×D₄	—	2	2	no	—
1191	C₂×D₄	—	2	2	no	—
1192	C₂×D₄	—	2	2	no	—
1193	C₂×D₄	—	2	2	no	—
1194	C₂×D₄	—	2	2	no	—
1195	C₂×D₄	—	2	2	no	—
1196	C₂×D₄	—	2	2	no	—
1197	C₂×D₄	—	2	2	no	—
1198	C₂×D₄	—	2	2	no	—
1199	C₂×D₄	—	2	2	no	—
1200	C₂×D₄	—	4	1	no	—
1201	C₂×D₄	—	4	1	no	—
1202	C₂×D₄	—	4	1	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	4	1	no	—
1205	C₂×D₄	—	4	1	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	1	no	—
1208	C₂×D₄	—	4	1	no	—
1209	C₂×D₄	—	4	1	no	—
1210	C₂×D₄	—	4	1	no	—
1211	C₂×D₄	—	4	1	no	—
1212	C₂×D₄	—	4	1	no	—
1213	C₂×D₄	—	4	16	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	2	2	no	—
1219	C₂²×C₄	—	2	2	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	2	no	—
1222	C₂²×C₄	—	2	2	no	—
1223	C₂²×C₄	—	2	2	no	—
1224	C₂²×C₄	—	4	1	no	—
1225	C₂²×C₄	—	4	1	no	—
1226	C₂²×C₄	—	4	1	no	—
1227	C₂²×C₄	—	4	1	no	—
1228	C₂²×C₄	—	4	1	no	—
1229	C₂²×C₄	—	4	1	no	—
1230	C₂²×C₄	—	4	1	no	—
1231	C₂²×C₄	—	4	1	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	—	4	1	no	—
1235	C₂²×C₄	—	4	1	no	—
1236	C₂²×C₄	—	4	1	no	—
1237	C₂²×C₄	—	4	1	no	—
1238	C₂²×C₄	—	4	1	no	—
1239	C₂²×C₄	—	4	1	no	—
1240	C₂²×C₄	—	4	1	no	—
1241	C₂²×C₄	—	4	1	no	—
1242	C₂²×C₄	—	4	1	no	—
1243	C₂²×C₄	—	4	1	no	—
1244	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1247	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1269	C₄⋊C₄	—	2	2	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	—	4	1	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₄⋊C₄	—	4	1	no	—
1283	C₄⋊C₄	—	4	1	no	—
1284	C₄⋊C₄	—	4	1	no	—
1285	C₄⋊C₄	—	4	1	no	—
1286	C₄⋊C₄	—	4	1	no	—
1287	C₄⋊C₄	—	4	1	no	—
1288	C₄⋊C₄	—	4	1	no	—
1289	C₄⋊C₄	—	4	1	no	—
1290	C₄⋊C₄	—	4	1	no	—
1291	C₄⋊C₄	—	4	1	no	—
1292	C₄⋊C₄	—	4	1	no	—
1293	C₄⋊C₄	—	4	1	no	—
1294	C₄⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	no	—
1300	C₂²⋊C₄	—	2	2	no	—
1301	C₂²⋊C₄	—	2	2	no	—
1302	C₂²⋊C₄	—	2	2	no	—
1303	C₂²⋊C₄	—	2	2	no	—
1304	C₂²⋊C₄	—	2	2	no	—
1305	C₂²⋊C₄	—	2	2	no	—
1306	C₂²⋊C₄	—	2	2	no	—
1307	C₂²⋊C₄	—	2	2	no	—
1308	C₂²⋊C₄	—	2	2	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	4	1	no	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₂²⋊C₄	—	4	1	no	—
1330	C₂²⋊C₄	—	4	1	no	—
1331	C₂²⋊C₄	—	4	1	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₂²⋊C₄	—	4	1	no	—
1337	C₂²⋊C₄	—	4	1	no	—
1338	C₂²⋊C₄	—	4	1	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	4	1	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₂²⋊C₄	—	4	1	no	—
1346	C₂²⋊C₄	—	4	1	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	4	1	no	—
1349	C₂²⋊C₄	—	4	1	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₄²	—	2	2	no	—
1352	C₄²	—	2	2	no	—
1353	C₄²	—	4	1	no	—
1354	C₄²	—	4	1	no	—
1355	C₄²	—	4	1	no	—
1356	C₄²	—	4	1	no	—
1357	C₄²	—	4	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	8	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	4	4	no	—
1397	C₂³	—	4	4	no	—
1398	C₂³	—	4	4	no	—
1399	C₂³	—	8	2	no	—
1400	C₂³	—	8	2	no	—
1401	C₂³	—	8	2	no	—
1402	C₂³	—	8	2	no	—
1403	C₂³	—	8	2	no	—
1404	C₂³	—	8	2	no	—
1405	C₂³	—	8	2	no	—
1406	C₂³	—	8	2	no	—
1407	C₂³	—	8	2	no	—
1408	C₂³	—	8	2	no	—
1409	C₂³	C₂×#41×C₅₃	1	2	yes	—
1410	C₂³	C₂×#41×C₅₃	1	2	yes	—
1411	C₂³	C₂×#41×C₅₃	1	2	yes	—
1412	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1413	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1414	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1415	Q₈	—	8	2	no	—
1416	D₄	—	4	4	no	—
1417	D₄	—	4	4	no	—
1418	D₄	—	4	4	no	—
1419	D₄	—	4	4	no	—
1420	D₄	—	4	4	no	—
1421	D₄	—	8	2	no	—
1422	D₄	—	8	2	no	—
1423	D₄	—	8	2	no	—
1424	D₄	—	8	2	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	4	4	no	—
1500	C₂×C₄	—	4	4	no	—
1501	C₂×C₄	—	4	4	no	—
1502	C₂×C₄	—	4	4	no	—
1503	C₂×C₄	—	4	4	no	—
1504	C₂×C₄	—	8	2	no	—
1505	C₂×C₄	—	8	2	no	—
1506	C₂×C₄	—	8	2	no	—
1507	C₂×C₄	—	8	2	no	—
1508	C₂×C₄	—	8	2	no	—
1509	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1510	C₂²	—	2	2	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	2	no	—
1513	C₂²	—	2	2	no	—
1514	C₂²	—	2	2	no	—
1515	C₂²	—	2	2	no	—
1516	C₂²	—	2	2	no	—
1517	C₂²	—	2	2	no	—
1518	C₂²	—	2	2	no	—
1519	C₂²	—	2	2	no	—
1520	C₂²	—	2	2	no	—
1521	C₂²	—	2	2	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	8	8	no	—
1552	C₂²	—	8	8	no	—
1553	C₂²	C₅₃×#538	1	4	yes	—
1554	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1555	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1556	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1557	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1558	C₂²	C₅₃×#585	1	1	yes	characteristic
1559	C₂²	C₅₃×#585	1	1	yes	characteristic
1560	C₂²	C₅₃×#585	1	1	yes	characteristic
1561	C₄	—	2	2	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	—	4	1	no	—
1577	C₄	—	4	1	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	4	1	no	—
1580	C₄	—	4	1	no	—
1581	C₄	—	4	1	no	—
1582	C₄	—	4	1	no	—
1583	C₄	—	4	1	no	—
1584	C₄	—	4	1	no	—
1585	C₄	—	4	1	no	—
1586	C₂	—	2	4	no	—
1587	C₂	—	4	2	no	—
1588	C₂	—	4	2	no	—
1589	C₂	—	8	1	no	—
1590	C₂	—	8	1	no	—
1591	C₂	—	8	1	no	—
1592	C₂	C₂×C₅₃×#538	1	1	yes	characteristic
1593	C₂	C₅₃×#3491	1	1	yes	characteristic
1594	C₂	C₅₃×#3505	1	1	yes	characteristic
1595	C₂	C₅₃×#3534	1	1	yes	characteristic
1596	C₂	C₅₃×#3542	1	1	yes	characteristic
1597	C₂	C₅₃×#3545	1	1	yes	characteristic
1598	C₂	C₅₃×#3560	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₃
prime radical	C₅₃×#2410	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×#2852	C₂	semidirect
2. C₅₃×#2850	C₂	semidirect
3. C₅₃×#2781	C₂	semidirect
4. C₅₃×#2781	C₂	semidirect
5. C₅₃×#2778	C₂	semidirect
6. C₅₃×#2765	C₂	semidirect
7. C₅₃×#2764	C₂	semidirect
8. C₅₃×#2761	C₂	semidirect
9. C₅₃×#2756	C₂	semidirect
10. C₅₃×#2749	C₂	semidirect
11. C₅₃×#2743	C₂	semidirect
12. C₅₃×#2741	C₂	semidirect
13. C₅₃×#2735	C₂	semidirect
14. C₅₃×#2735	C₂	semidirect
15. C₅₃×#2730	C₂	semidirect
16. C₅₃×#2702	C₂	semidirect
17. C₅₃×#2685	C₂	semidirect
18. C₅₃×#2684	C₂	semidirect
19. C₅₃×#2623	C₂	semidirect
20. C₅₃×#2618	C₂	semidirect
21. C₅₃×#2510	C₂	semidirect
22. C₅₃×#2488	C₂	semidirect
23. C₅₃×#2444	C₂	semidirect
24. C₅₃×#2437	C₂	semidirect
25. C₅₃×#2425	C₂	semidirect
26. C₅₃×#2412	C₂	semidirect
28. C₅₃×#2405	C₂	semidirect
29. C₅₃×#2321	C₂	semidirect
30. C₅₃×#2308	C₂	semidirect
31. C₂×C₅₃×#388	C₂	semidirect
33. C₂×#126×C₅₃	C₂²	semidirect
34. C₂×#124×C₅₃	C₂²	semidirect
37. C₂×#123×C₅₃	C₂²	semidirect
38. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
39. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
44. C₂×C₄×D₄×C₅₃	C₂²	semidirect
45. C₂²×C₄⋊C₄×C₅₃	C₂²	semidirect
50. C₂²×C₄²×C₅₃	C₂²	semidirect
51. C₅₃×#401	C₂²	semidirect
52. C₅₃×#400	C₂²	semidirect
53. C₅₃×#400	C₂²	semidirect
54. C₅₃×#400	C₂²	semidirect
55. C₅₃×#400	C₂²	semidirect
56. C₅₃×#400	C₂²	semidirect
57. C₅₃×#400	C₂²	semidirect
59. C₅₃×#399	C₂²	semidirect
60. C₅₃×#399	C₂²	semidirect
61. C₅₃×#398	C₂²	semidirect
62. C₅₃×#398	C₂²	semidirect
63. C₅₃×#398	C₂²	semidirect
64. C₅₃×#398	C₂²	semidirect
65. C₅₃×#398	C₂²	semidirect
68. C₅₃×#397	C₂²	semidirect
69. C₅₃×#397	C₂²	semidirect
70. C₅₃×#397	C₂²	semidirect
71. C₅₃×#397	C₂²	semidirect
72. C₅₃×#397	C₂²	semidirect
73. C₅₃×#397	C₂²	semidirect
74. C₅₃×#397	C₂²	semidirect
75. C₅₃×#397	C₂²	semidirect
78. C₅₃×#396	C₂²	semidirect
79. C₅₃×#396	C₂²	semidirect
80. C₅₃×#396	C₂²	semidirect
81. C₅₃×#396	C₂²	semidirect
82. C₅₃×#396	C₂²	semidirect
91. C₅₃×#394	C₂²	semidirect
92. C₅₃×#394	C₂²	semidirect
93. C₅₃×#394	C₂²	semidirect
94. C₅₃×#394	C₂²	semidirect
96. C₅₃×#393	C₂²	semidirect
99. C₅₃×#391	C₂²	semidirect
100. C₅₃×#391	C₂²	semidirect
102. C₅₃×#390	C₂²	semidirect
103. C₅₃×#390	C₂²	semidirect
104. C₅₃×#389	C₂²	semidirect
111. C₅₃×#388	C₂²	semidirect
112. C₅₃×#388	C₂²	semidirect
113. C₅₃×#388	C₂²	semidirect
114. C₅₃×#388	C₂²	semidirect
115. C₅₃×#388	C₂²	semidirect
116. C₅₃×#388	C₂²	semidirect
117. C₅₃×#388	C₂²	semidirect
118. C₅₃×#388	C₂²	semidirect
119. C₅₃×#388	C₂²	semidirect
120. C₅₃×#388	C₂²	semidirect
121. C₅₃×#388	C₂²	semidirect
122. C₅₃×#388	C₂²	semidirect
123. C₅₃×#388	C₂²	semidirect
124. C₅₃×#388	C₂²	semidirect
125. C₅₃×#388	C₂²	semidirect
126. C₅₃×#388	C₂²	semidirect
127. C₅₃×#388	C₂²	semidirect
128. C₅₃×#388	C₂²	semidirect
129. C₅₃×#388	C₂²	semidirect
130. C₅₃×#387	C₂²	semidirect
131. C₅₃×#387	C₂²	semidirect
132. C₅₃×#387	C₂²	semidirect
133. C₅₃×#387	C₂²	semidirect
134. C₅₃×#387	C₂²	semidirect
149. C₅₃×#386	C₂²	semidirect
150. C₅₃×#386	C₂²	semidirect
151. C₅₃×#386	C₂²	semidirect
152. C₅₃×#386	C₂²	semidirect
153. C₅₃×#386	C₂²	semidirect
154. C₅₃×#386	C₂²	semidirect
155. C₅₃×#386	C₂²	semidirect
159. C₅₃×#385	C₂²	semidirect
160. C₅₃×#385	C₂²	semidirect
161. C₅₃×#385	C₂²	semidirect
162. C₅₃×#385	C₂²	semidirect
163. C₅₃×#385	C₂²	semidirect
164. C₅₃×#385	C₂²	semidirect
165. C₅₃×#383	C₂²	semidirect
166. C₅₃×#383	C₂²	semidirect
167. C₅₃×#382	C₂²	semidirect
168. C₅₃×#382	C₂²	semidirect
171. C₅₃×#381	C₂²	semidirect
172. C₅₃×#381	C₂²	semidirect
173. C₅₃×#380	C₂²	semidirect
174. C₅₃×#380	C₂²	semidirect
175. C₅₃×#380	C₂²	semidirect
176. C₅₃×#380	C₂²	semidirect
177. C₅₃×#380	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
185. C₂×#95×C₅₃	C₂²	semidirect
186. C₂×#95×C₅₃	C₂²	semidirect
710. #36779	C₅₃	direct (N × H)
787. #2852	C₂×C₅₃	semidirect
788. #2850	C₂×C₅₃	semidirect
789. #2781	C₂×C₅₃	semidirect
790. #2781	C₂×C₅₃	semidirect
791. #2778	C₂×C₅₃	semidirect
792. #2765	C₂×C₅₃	semidirect
793. #2764	C₂×C₅₃	semidirect
794. #2761	C₂×C₅₃	semidirect
795. #2756	C₂×C₅₃	semidirect
796. #2749	C₂×C₅₃	semidirect
797. #2743	C₂×C₅₃	semidirect
798. #2741	C₂×C₅₃	semidirect
799. #2735	C₂×C₅₃	semidirect
800. #2735	C₂×C₅₃	semidirect
801. #2730	C₂×C₅₃	semidirect
802. #2702	C₂×C₅₃	semidirect
803. #2685	C₂×C₅₃	semidirect
804. #2684	C₂×C₅₃	semidirect
805. #2623	C₂×C₅₃	semidirect
806. #2618	C₂×C₅₃	semidirect
807. #2510	C₂×C₅₃	semidirect
808. #2488	C₂×C₅₃	semidirect
809. #2444	C₂×C₅₃	semidirect
810. #2437	C₂×C₅₃	semidirect
811. #2425	C₂×C₅₃	semidirect
812. #2412	C₂×C₅₃	semidirect
814. #2405	C₂×C₅₃	semidirect
815. #2321	C₂×C₅₃	semidirect
816. #2308	C₂×C₅₃	semidirect
817. C₂×#388	C₂×C₅₃	semidirect
832. C₂×#126	C₂²×C₅₃	semidirect
833. C₂×#124	C₂²×C₅₃	semidirect
836. C₂×#123	C₂²×C₅₃	semidirect
837. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
838. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
843. C₂×C₄×D₄	C₂²×C₅₃	semidirect
844. C₂²×C₄⋊C₄	C₂²×C₅₃	semidirect
849. C₂²×C₄²	C₂²×C₅₃	semidirect
850. #401	C₂²×C₅₃	semidirect
851. #400	C₂²×C₅₃	semidirect
852. #400	C₂²×C₅₃	semidirect
853. #400	C₂²×C₅₃	semidirect
854. #400	C₂²×C₅₃	semidirect
855. #400	C₂²×C₅₃	semidirect
856. #400	C₂²×C₅₃	semidirect
858. #399	C₂²×C₅₃	semidirect
859. #399	C₂²×C₅₃	semidirect
860. #398	C₂²×C₅₃	semidirect
861. #398	C₂²×C₅₃	semidirect
862. #398	C₂²×C₅₃	semidirect
863. #398	C₂²×C₅₃	semidirect
864. #398	C₂²×C₅₃	semidirect
867. #397	C₂²×C₅₃	semidirect
868. #397	C₂²×C₅₃	semidirect
869. #397	C₂²×C₅₃	semidirect
870. #397	C₂²×C₅₃	semidirect
871. #397	C₂²×C₅₃	semidirect
872. #397	C₂²×C₅₃	semidirect
873. #397	C₂²×C₅₃	semidirect
874. #397	C₂²×C₅₃	semidirect
877. #396	C₂²×C₅₃	semidirect
878. #396	C₂²×C₅₃	semidirect
879. #396	C₂²×C₅₃	semidirect
880. #396	C₂²×C₅₃	semidirect
881. #396	C₂²×C₅₃	semidirect
890. #394	C₂²×C₅₃	semidirect
891. #394	C₂²×C₅₃	semidirect
892. #394	C₂²×C₅₃	semidirect
893. #394	C₂²×C₅₃	semidirect
895. #393	C₂²×C₅₃	semidirect
898. #391	C₂²×C₅₃	semidirect
899. #391	C₂²×C₅₃	semidirect
901. #390	C₂²×C₅₃	semidirect
902. #390	C₂²×C₅₃	semidirect
903. #389	C₂²×C₅₃	semidirect
910. #388	C₂²×C₅₃	semidirect
911. #388	C₂²×C₅₃	semidirect
912. #388	C₂²×C₅₃	semidirect
913. #388	C₂²×C₅₃	semidirect
914. #388	C₂²×C₅₃	semidirect
915. #388	C₂²×C₅₃	semidirect
916. #388	C₂²×C₅₃	semidirect
917. #388	C₂²×C₅₃	semidirect
918. #388	C₂²×C₅₃	semidirect
919. #388	C₂²×C₅₃	semidirect
920. #388	C₂²×C₅₃	semidirect
921. #388	C₂²×C₅₃	semidirect
922. #388	C₂²×C₅₃	semidirect
923. #388	C₂²×C₅₃	semidirect
924. #388	C₂²×C₅₃	semidirect
925. #388	C₂²×C₅₃	semidirect
926. #388	C₂²×C₅₃	semidirect
927. #388	C₂²×C₅₃	semidirect
928. #388	C₂²×C₅₃	semidirect
929. #387	C₂²×C₅₃	semidirect
930. #387	C₂²×C₅₃	semidirect
931. #387	C₂²×C₅₃	semidirect
932. #387	C₂²×C₅₃	semidirect
933. #387	C₂²×C₅₃	semidirect
948. #386	C₂²×C₅₃	semidirect
949. #386	C₂²×C₅₃	semidirect
950. #386	C₂²×C₅₃	semidirect
951. #386	C₂²×C₅₃	semidirect
952. #386	C₂²×C₅₃	semidirect
953. #386	C₂²×C₅₃	semidirect
954. #386	C₂²×C₅₃	semidirect
958. #385	C₂²×C₅₃	semidirect
959. #385	C₂²×C₅₃	semidirect
960. #385	C₂²×C₅₃	semidirect
961. #385	C₂²×C₅₃	semidirect
962. #385	C₂²×C₅₃	semidirect
963. #385	C₂²×C₅₃	semidirect
964. #383	C₂²×C₅₃	semidirect
965. #383	C₂²×C₅₃	semidirect
966. #382	C₂²×C₅₃	semidirect
967. #382	C₂²×C₅₃	semidirect
970. #381	C₂²×C₅₃	semidirect
971. #381	C₂²×C₅₃	semidirect
972. #380	C₂²×C₅₃	semidirect
973. #380	C₂²×C₅₃	semidirect
974. #380	C₂²×C₅₃	semidirect
975. #380	C₂²×C₅₃	semidirect
976. #380	C₂²×C₅₃	semidirect
983. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
984. C₂×#95	C₂²×C₅₃	semidirect
985. C₂×#95	C₂²×C₅₃	semidirect
986. C₅₃	#36779	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×#2852	2
C₅₃×#2850	2
C₅₃×#2781	2
C₅₃×#2778	2
C₅₃×#2765	2
C₅₃×#2764	2
C₅₃×#2761	2
C₅₃×#2756	2
C₅₃×#2749	2
C₅₃×#2743	2
C₅₃×#2741	2
C₅₃×#2735	2
C₅₃×#2730	2
C₅₃×#2702	2
C₅₃×#2685	2
C₅₃×#2684	2
C₅₃×#2623	2
C₅₃×#2618	2
C₅₃×#2510	2
C₅₃×#2488	2
C₅₃×#2444	2
C₅₃×#2437	2
C₅₃×#2425	2
C₅₃×#2412	2
C₅₃×#2410	2
C₅₃×#2405	2
C₅₃×#2321	2
C₅₃×#2308	2
C₂×C₅₃×#388	2
#36779	53

Subgroups — C53×#36779 #27244291

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#36779 #27244291