Subgroups — C₅₃×#36758 #27244270

Order 13568.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#2848	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#2847	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2797	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2781	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2779	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2778	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2778	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2756	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2753	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2749	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2741	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2730	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2714	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2703	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2702	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2696	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2688	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2676	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2613	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2613	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2493	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2488	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2419	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅₃×#386	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic
33	C₂⁴×C₄×C₅₃	C₂²	1	1	yes	characteristic
34	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
37	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
38	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
43	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
47	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
48	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
49	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
52	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
53	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
54	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
55	C₅₃×#401	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×#400	C₂²	1	1	yes	characteristic, complemented
59	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
60	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
61	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
62	C₅₃×#399	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×#397	C₂²	1	1	yes	characteristic, complemented
66	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
67	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
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×#396	C₂²	1	1	yes	characteristic, complemented
75	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
76	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
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, complemented
86	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
88	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
89	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
90	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
91	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
92	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
93	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
94	C₅₃×#392	C₂²	1	1	yes	characteristic
95	C₅₃×#392	C₂²	1	1	yes	characteristic
96	C₅₃×#392	C₂²	1	1	yes	characteristic
97	C₅₃×#392	C₂²	1	1	yes	characteristic
98	C₅₃×#392	C₂²	1	1	yes	characteristic
99	C₅₃×#392	C₂²	1	1	yes	characteristic
100	C₅₃×#392	C₂²	1	1	yes	characteristic
101	C₅₃×#392	C₂²	1	1	yes	characteristic
102	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
103	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
104	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
105	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
106	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
107	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
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, complemented
148	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
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×#386	C₂²	1	1	yes	characteristic, complemented
157	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
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, complemented
163	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
164	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
165	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
166	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#383	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×#380	C₂²	1	1	yes	characteristic
173	C₅₃×#380	C₂²	1	1	yes	characteristic
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×#380	C₂²	1	1	yes	characteristic, complemented
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	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
185	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
186	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
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	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₅₃	—	4	2	no	—
209	C₂³×C₄×C₅₃	—	4	2	no	—
210	C₂³×C₄×C₅₃	—	4	2	no	—
211	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
222	#126×C₅₃	—	4	2	no	—
223	#124×C₅₃	—	4	2	no	—
224	#123×C₅₃	—	4	2	no	—
225	#123×C₅₃	—	4	2	no	—
226	#123×C₅₃	—	4	2	no	—
227	C₂²⋊Q₈×C₅₃	—	4	2	no	—
228	C₂²⋊Q₈×C₅₃	—	4	2	no	—
229	C₂²⋊Q₈×C₅₃	—	4	2	no	—
230	#121×C₅₃	—	4	2	no	—
231	#121×C₅₃	—	4	2	no	—
232	#121×C₅₃	—	4	2	no	—
233	#121×C₅₃	—	4	2	no	—
234	#120×C₅₃	—	2	4	no	—
235	#120×C₅₃	—	2	4	no	—
236	#120×C₅₃	—	4	2	no	—
237	#120×C₅₃	—	4	2	no	—
238	C₄×D₄×C₅₃	—	4	2	no	—
239	C₄×D₄×C₅₃	—	4	2	no	—
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×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
263	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
264	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
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×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
328	C₂×C₄²×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	#95×C₅₃	C₂³	1	1	yes	characteristic
364	#95×C₅₃	C₂³	1	1	yes	characteristic
365	#95×C₅₃	C₂³	1	1	yes	characteristic
366	#95×C₅₃	C₂³	1	1	yes	characteristic
367	#95×C₅₃	C₂³	1	1	yes	characteristic
368	#95×C₅₃	C₂³	1	1	yes	characteristic
369	C₂⁴×C₅₃	—	2	2	no	—
370	C₂⁴×C₅₃	—	2	2	no	—
371	C₂⁴×C₅₃	—	2	2	no	—
372	C₂⁴×C₅₃	—	2	2	no	—
373	C₂⁴×C₅₃	—	2	2	no	—
374	C₂⁴×C₅₃	—	4	1	no	—
375	C₂⁴×C₅₃	—	4	1	no	—
376	C₂⁴×C₅₃	—	4	1	no	—
377	C₂⁴×C₅₃	—	4	1	no	—
378	C₂⁴×C₅₃	—	4	1	no	—
379	C₂⁴×C₅₃	—	4	1	no	—
380	C₂⁴×C₅₃	—	4	1	no	—
381	C₂⁴×C₅₃	—	4	1	no	—
382	C₂⁴×C₅₃	#41	1	4	yes	—
383	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
389	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
390	C₂×Q₈×C₅₃	—	2	2	no	—
391	C₂×Q₈×C₅₃	—	4	1	no	—
392	C₂×Q₈×C₅₃	—	4	1	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	—	2	2	no	—
401	C₂×D₄×C₅₃	—	2	2	no	—
402	C₂×D₄×C₅₃	—	2	2	no	—
403	C₂×D₄×C₅₃	—	2	2	no	—
404	C₂×D₄×C₅₃	—	2	2	no	—
405	C₂×D₄×C₅₃	—	2	2	no	—
406	C₂×D₄×C₅₃	—	2	2	no	—
407	C₂×D₄×C₅₃	—	2	2	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	1	no	—
414	C₂×D₄×C₅₃	—	4	1	no	—
415	C₂×D₄×C₅₃	—	4	1	no	—
416	C₂×D₄×C₅₃	—	4	1	no	—
417	C₂×D₄×C₅₃	—	4	1	no	—
418	C₂×D₄×C₅₃	—	4	1	no	—
419	C₂×D₄×C₅₃	—	4	1	no	—
420	C₂×D₄×C₅₃	—	4	1	no	—
421	C₂×D₄×C₅₃	—	4	1	no	—
422	C₂×D₄×C₅₃	—	4	1	no	—
423	C₂×D₄×C₅₃	—	4	1	no	—
424	C₂×D₄×C₅₃	—	4	1	no	—
425	C₂×D₄×C₅₃	—	4	1	no	—
426	C₂×D₄×C₅₃	—	4	1	no	—
427	C₂×D₄×C₅₃	—	4	1	no	—
428	C₂×D₄×C₅₃	—	4	1	no	—
429	C₂×D₄×C₅₃	—	4	1	no	—
430	C₂×D₄×C₅₃	—	4	1	no	—
431	C₂×D₄×C₅₃	—	4	1	no	—
432	C₂×D₄×C₅₃	—	4	1	no	—
433	C₂×D₄×C₅₃	—	4	1	no	—
434	C₂×D₄×C₅₃	—	4	1	no	—
435	C₂×D₄×C₅₃	—	4	1	no	—
436	C₂×D₄×C₅₃	—	4	1	no	—
437	C₂×D₄×C₅₃	—	4	1	no	—
438	C₂×D₄×C₅₃	—	4	16	no	—
439	C₂²×C₄×C₅₃	—	2	2	no	—
440	C₂²×C₄×C₅₃	—	2	2	no	—
441	C₂²×C₄×C₅₃	—	2	2	no	—
442	C₂²×C₄×C₅₃	—	2	2	no	—
443	C₂²×C₄×C₅₃	—	2	2	no	—
444	C₂²×C₄×C₅₃	—	2	2	no	—
445	C₂²×C₄×C₅₃	—	2	2	no	—
446	C₂²×C₄×C₅₃	—	2	2	no	—
447	C₂²×C₄×C₅₃	—	2	2	no	—
448	C₂²×C₄×C₅₃	—	2	2	no	—
449	C₂²×C₄×C₅₃	—	2	2	no	—
450	C₂²×C₄×C₅₃	—	2	2	no	—
451	C₂²×C₄×C₅₃	—	2	2	no	—
452	C₂²×C₄×C₅₃	—	4	1	no	—
453	C₂²×C₄×C₅₃	—	4	1	no	—
454	C₂²×C₄×C₅₃	—	4	1	no	—
455	C₂²×C₄×C₅₃	—	4	1	no	—
456	C₂²×C₄×C₅₃	—	4	1	no	—
457	C₂²×C₄×C₅₃	—	4	1	no	—
458	C₂²×C₄×C₅₃	—	4	1	no	—
459	C₂²×C₄×C₅₃	—	4	1	no	—
460	C₂²×C₄×C₅₃	—	4	1	no	—
461	C₂²×C₄×C₅₃	—	4	1	no	—
462	C₂²×C₄×C₅₃	—	4	1	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	16	no	—
473	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
497	C₄⋊C₄×C₅₃	—	2	2	no	—
498	C₄⋊C₄×C₅₃	—	2	2	no	—
499	C₄⋊C₄×C₅₃	—	2	2	no	—
500	C₄⋊C₄×C₅₃	—	2	2	no	—
501	C₄⋊C₄×C₅₃	—	4	1	no	—
502	C₄⋊C₄×C₅₃	—	4	1	no	—
503	C₄⋊C₄×C₅₃	—	4	1	no	—
504	C₄⋊C₄×C₅₃	—	4	1	no	—
505	C₄⋊C₄×C₅₃	—	4	1	no	—
506	C₄⋊C₄×C₅₃	—	4	1	no	—
507	C₄⋊C₄×C₅₃	—	4	1	no	—
508	C₄⋊C₄×C₅₃	—	4	1	no	—
509	C₄⋊C₄×C₅₃	—	4	1	no	—
510	C₄⋊C₄×C₅₃	—	4	1	no	—
511	C₄⋊C₄×C₅₃	—	4	1	no	—
512	C₄⋊C₄×C₅₃	—	4	1	no	—
513	C₄⋊C₄×C₅₃	—	4	1	no	—
514	C₄⋊C₄×C₅₃	—	4	1	no	—
515	C₄⋊C₄×C₅₃	—	4	1	no	—
516	C₄⋊C₄×C₅₃	—	4	1	no	—
517	C₄⋊C₄×C₅₃	—	4	1	no	—
518	C₄⋊C₄×C₅₃	—	4	1	no	—
519	C₂²⋊C₄×C₅₃	—	2	2	no	—
520	C₂²⋊C₄×C₅₃	—	2	2	no	—
521	C₂²⋊C₄×C₅₃	—	2	2	no	—
522	C₂²⋊C₄×C₅₃	—	2	2	no	—
523	C₂²⋊C₄×C₅₃	—	2	2	no	—
524	C₂²⋊C₄×C₅₃	—	2	2	no	—
525	C₂²⋊C₄×C₅₃	—	2	2	no	—
526	C₂²⋊C₄×C₅₃	—	2	2	no	—
527	C₂²⋊C₄×C₅₃	—	2	2	no	—
528	C₂²⋊C₄×C₅₃	—	2	2	no	—
529	C₂²⋊C₄×C₅₃	—	2	2	no	—
530	C₂²⋊C₄×C₅₃	—	2	2	no	—
531	C₂²⋊C₄×C₅₃	—	2	2	no	—
532	C₂²⋊C₄×C₅₃	—	2	2	no	—
533	C₂²⋊C₄×C₅₃	—	2	2	no	—
534	C₂²⋊C₄×C₅₃	—	2	2	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	C₂²⋊C₄×C₅₃	—	4	1	no	—
552	C₂²⋊C₄×C₅₃	—	4	1	no	—
553	C₂²⋊C₄×C₅₃	—	4	1	no	—
554	C₂²⋊C₄×C₅₃	—	4	1	no	—
555	C₂²⋊C₄×C₅₃	—	4	1	no	—
556	C₂²⋊C₄×C₅₃	—	4	1	no	—
557	C₂²⋊C₄×C₅₃	—	4	1	no	—
558	C₂²⋊C₄×C₅₃	—	4	1	no	—
559	C₂²⋊C₄×C₅₃	—	4	1	no	—
560	C₂²⋊C₄×C₅₃	—	4	1	no	—
561	C₂²⋊C₄×C₅₃	—	4	1	no	—
562	C₂²⋊C₄×C₅₃	—	4	1	no	—
563	C₂²⋊C₄×C₅₃	—	4	1	no	—
564	C₂²⋊C₄×C₅₃	—	4	1	no	—
565	C₂²⋊C₄×C₅₃	—	4	1	no	—
566	C₂²⋊C₄×C₅₃	—	4	1	no	—
567	C₂²⋊C₄×C₅₃	—	4	1	no	—
568	C₂²⋊C₄×C₅₃	—	4	1	no	—
569	C₂²⋊C₄×C₅₃	—	4	1	no	—
570	C₂²⋊C₄×C₅₃	—	4	1	no	—
571	C₂²⋊C₄×C₅₃	—	4	1	no	—
572	C₂²⋊C₄×C₅₃	—	4	1	no	—
573	C₂²⋊C₄×C₅₃	—	4	1	no	—
574	C₂²⋊C₄×C₅₃	—	4	1	no	—
575	C₂²⋊C₄×C₅₃	—	4	1	no	—
576	C₂²⋊C₄×C₅₃	—	4	1	no	—
577	C₄²×C₅₃	—	4	1	no	—
578	C₄²×C₅₃	—	4	1	no	—
579	C₄²×C₅₃	—	4	1	no	—
580	C₄²×C₅₃	—	4	1	no	—
581	C₄²×C₅₃	—	4	1	no	—
582	C₄²×C₅₃	—	4	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	8	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	—	2	1	no	—
597	C₂³×C₅₃	—	2	1	no	—
598	C₂³×C₅₃	—	2	1	no	—
599	C₂³×C₅₃	—	2	1	no	—
600	C₂³×C₅₃	—	2	1	no	—
601	C₂³×C₅₃	—	2	1	no	—
602	C₂³×C₅₃	—	2	1	no	—
603	C₂³×C₅₃	—	2	1	no	—
604	C₂³×C₅₃	—	2	1	no	—
605	C₂³×C₅₃	—	2	1	no	—
606	C₂³×C₅₃	—	2	1	no	—
607	C₂³×C₅₃	—	2	1	no	—
608	C₂³×C₅₃	—	2	1	no	—
609	C₂³×C₅₃	—	2	1	no	—
610	C₂³×C₅₃	—	2	1	no	—
611	C₂³×C₅₃	—	2	1	no	—
612	C₂³×C₅₃	—	2	1	no	—
613	C₂³×C₅₃	—	2	1	no	—
614	C₂³×C₅₃	—	2	1	no	—
615	C₂³×C₅₃	—	2	1	no	—
616	C₂³×C₅₃	—	2	1	no	—
617	C₂³×C₅₃	—	2	1	no	—
618	C₂³×C₅₃	—	2	1	no	—
619	C₂³×C₅₃	—	2	1	no	—
620	C₂³×C₅₃	—	2	1	no	—
621	C₂³×C₅₃	—	2	1	no	—
622	C₂³×C₅₃	—	2	1	no	—
623	C₂³×C₅₃	—	2	1	no	—
624	C₂³×C₅₃	—	2	1	no	—
625	C₂³×C₅₃	—	2	1	no	—
626	C₂³×C₅₃	—	2	1	no	—
627	C₂³×C₅₃	—	2	1	no	—
628	C₂³×C₅₃	—	4	4	no	—
629	C₂³×C₅₃	—	4	4	no	—
630	C₂³×C₅₃	—	4	4	no	—
631	C₂³×C₅₃	—	4	4	no	—
632	C₂³×C₅₃	—	4	4	no	—
633	C₂³×C₅₃	—	4	4	no	—
634	C₂³×C₅₃	—	4	4	no	—
635	C₂³×C₅₃	—	4	4	no	—
636	C₂³×C₅₃	—	4	4	no	—
637	C₂³×C₅₃	—	8	2	no	—
638	C₂³×C₅₃	—	8	2	no	—
639	C₂³×C₅₃	—	8	2	no	—
640	C₂³×C₅₃	—	8	2	no	—
641	C₂³×C₅₃	C₂×#41	1	2	yes	—
642	C₂³×C₅₃	C₂×#41	1	2	yes	—
643	C₂³×C₅₃	C₂×#41	1	2	yes	—
644	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
645	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
646	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
647	Q₈×C₅₃	—	8	2	no	—
648	D₄×C₅₃	—	4	4	no	—
649	D₄×C₅₃	—	4	4	no	—
650	D₄×C₅₃	—	4	4	no	—
651	D₄×C₅₃	—	4	4	no	—
652	D₄×C₅₃	—	4	4	no	—
653	D₄×C₅₃	—	4	4	no	—
654	D₄×C₅₃	—	8	2	no	—
655	D₄×C₅₃	—	8	2	no	—
656	D₄×C₅₃	—	8	2	no	—
657	D₄×C₅₃	—	8	2	no	—
658	D₄×C₅₃	—	8	2	no	—
659	D₄×C₅₃	—	8	2	no	—
660	D₄×C₅₃	—	8	2	no	—
661	D₄×C₅₃	—	8	2	no	—
662	D₄×C₅₃	—	8	2	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	—	2	1	no	—
700	C₂×C₄×C₅₃	—	2	1	no	—
701	C₂×C₄×C₅₃	—	2	1	no	—
702	C₂×C₄×C₅₃	—	2	1	no	—
703	C₂×C₄×C₅₃	—	2	1	no	—
704	C₂×C₄×C₅₃	—	2	1	no	—
705	C₂×C₄×C₅₃	—	2	1	no	—
706	C₂×C₄×C₅₃	—	2	1	no	—
707	C₂×C₄×C₅₃	—	2	1	no	—
708	C₂×C₄×C₅₃	—	2	1	no	—
709	C₂×C₄×C₅₃	—	2	1	no	—
710	C₂×C₄×C₅₃	—	2	1	no	—
711	C₂×C₄×C₅₃	—	2	1	no	—
712	C₂×C₄×C₅₃	—	2	1	no	—
713	C₂×C₄×C₅₃	—	2	1	no	—
714	C₂×C₄×C₅₃	—	2	1	no	—
715	C₂×C₄×C₅₃	—	2	1	no	—
716	C₂×C₄×C₅₃	—	2	1	no	—
717	C₂×C₄×C₅₃	—	2	1	no	—
718	C₂×C₄×C₅₃	—	2	1	no	—
719	C₂×C₄×C₅₃	—	2	1	no	—
720	C₂×C₄×C₅₃	—	2	1	no	—
721	C₂×C₄×C₅₃	—	2	1	no	—
722	C₂×C₄×C₅₃	—	2	1	no	—
723	C₂×C₄×C₅₃	—	2	1	no	—
724	C₂×C₄×C₅₃	—	2	1	no	—
725	C₂×C₄×C₅₃	—	2	1	no	—
726	C₂×C₄×C₅₃	—	2	1	no	—
727	C₂×C₄×C₅₃	—	2	1	no	—
728	C₂×C₄×C₅₃	—	2	1	no	—
729	C₂×C₄×C₅₃	—	2	1	no	—
730	C₂×C₄×C₅₃	—	2	1	no	—
731	C₂×C₄×C₅₃	—	2	1	no	—
732	C₂×C₄×C₅₃	—	2	1	no	—
733	C₂×C₄×C₅₃	—	4	4	no	—
734	C₂×C₄×C₅₃	—	4	4	no	—
735	C₂×C₄×C₅₃	—	4	4	no	—
736	C₂×C₄×C₅₃	—	4	4	no	—
737	C₂×C₄×C₅₃	—	4	4	no	—
738	C₂×C₄×C₅₃	—	4	4	no	—
739	C₂×C₄×C₅₃	—	4	4	no	—
740	C₂×C₄×C₅₃	—	8	2	no	—
741	C₂×C₄×C₅₃	—	8	2	no	—
742	C₂×C₄×C₅₃	—	8	2	no	—
743	C₂×C₄×C₅₃	—	8	2	no	—
744	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
745	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
746	#36758	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
747	C₂²×C₅₃	—	2	2	no	—
748	C₂²×C₅₃	—	2	2	no	—
749	C₂²×C₅₃	—	2	2	no	—
750	C₂²×C₅₃	—	2	2	no	—
751	C₂²×C₅₃	—	2	2	no	—
752	C₂²×C₅₃	—	2	2	no	—
753	C₂²×C₅₃	—	2	2	no	—
754	C₂²×C₅₃	—	2	2	no	—
755	C₂²×C₅₃	—	2	2	no	—
756	C₂²×C₅₃	—	2	2	no	—
757	C₂²×C₅₃	—	2	2	no	—
758	C₂²×C₅₃	—	2	2	no	—
759	C₂²×C₅₃	—	4	16	no	—
760	C₂²×C₅₃	—	4	1	no	—
761	C₂²×C₅₃	—	4	1	no	—
762	C₂²×C₅₃	—	4	1	no	—
763	C₂²×C₅₃	—	4	1	no	—
764	C₂²×C₅₃	—	4	1	no	—
765	C₂²×C₅₃	—	4	1	no	—
766	C₂²×C₅₃	—	4	1	no	—
767	C₂²×C₅₃	—	4	1	no	—
768	C₂²×C₅₃	—	4	1	no	—
769	C₂²×C₅₃	—	4	1	no	—
770	C₂²×C₅₃	—	4	1	no	—
771	C₂²×C₅₃	—	4	1	no	—
772	C₂²×C₅₃	—	4	1	no	—
773	C₂²×C₅₃	—	4	1	no	—
774	C₂²×C₅₃	—	4	1	no	—
775	C₂²×C₅₃	—	4	1	no	—
776	C₂²×C₅₃	—	4	1	no	—
777	C₂²×C₅₃	—	4	1	no	—
778	C₂²×C₅₃	—	4	1	no	—
779	C₂²×C₅₃	—	4	1	no	—
780	C₂²×C₅₃	—	4	1	no	—
781	C₂²×C₅₃	—	4	1	no	—
782	C₂²×C₅₃	—	4	1	no	—
783	C₂²×C₅₃	—	4	1	no	—
784	C₂²×C₅₃	—	4	1	no	—
785	C₂²×C₅₃	—	4	1	no	—
786	C₂²×C₅₃	—	4	1	no	—
787	C₂²×C₅₃	—	4	1	no	—
788	C₂²×C₅₃	—	4	1	no	—
789	C₂²×C₅₃	—	4	1	no	—
790	C₂²×C₅₃	—	4	1	no	—
791	C₂²×C₅₃	—	4	1	no	—
792	C₂²×C₅₃	—	4	1	no	—
793	C₂²×C₅₃	—	4	1	no	—
794	C₂²×C₅₃	—	4	1	no	—
795	C₂²×C₅₃	—	4	1	no	—
796	C₂²×C₅₃	—	8	8	no	—
797	C₂²×C₅₃	#538	1	4	yes	—
798	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
799	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
800	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
801	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
802	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
803	C₂²×C₅₃	#585	1	1	yes	characteristic
804	C₂²×C₅₃	#585	1	1	yes	characteristic
805	C₄×C₅₃	—	2	2	no	—
806	C₄×C₅₃	—	2	2	no	—
807	C₄×C₅₃	—	4	1	no	—
808	C₄×C₅₃	—	4	1	no	—
809	C₄×C₅₃	—	4	1	no	—
810	C₄×C₅₃	—	4	1	no	—
811	C₄×C₅₃	—	4	1	no	—
812	C₄×C₅₃	—	4	1	no	—
813	C₄×C₅₃	—	4	1	no	—
814	C₄×C₅₃	—	4	1	no	—
815	C₄×C₅₃	—	4	1	no	—
816	C₄×C₅₃	—	4	1	no	—
817	C₄×C₅₃	—	4	1	no	—
818	C₄×C₅₃	—	4	1	no	—
819	C₄×C₅₃	—	4	1	no	—
820	C₄×C₅₃	—	4	1	no	—
821	C₄×C₅₃	—	4	1	no	—
822	C₄×C₅₃	—	4	1	no	—
823	C₄×C₅₃	—	4	1	no	—
824	C₄×C₅₃	—	4	1	no	—
825	C₄×C₅₃	—	4	1	no	—
826	C₄×C₅₃	—	4	1	no	—
827	C₄×C₅₃	—	4	1	no	—
828	C₄×C₅₃	—	4	1	no	—
829	#2848	C₂×C₅₃	1	1	yes	characteristic, complemented
830	#2847	C₂×C₅₃	1	1	yes	characteristic, complemented
831	#2797	C₂×C₅₃	1	1	yes	characteristic, complemented
832	#2781	C₂×C₅₃	1	1	yes	characteristic, complemented
833	#2779	C₂×C₅₃	1	1	yes	characteristic, complemented
834	#2778	C₂×C₅₃	1	1	yes	characteristic, complemented
835	#2778	C₂×C₅₃	1	1	yes	characteristic, complemented
836	#2756	C₂×C₅₃	1	1	yes	characteristic, complemented
837	#2753	C₂×C₅₃	1	1	yes	characteristic, complemented
838	#2749	C₂×C₅₃	1	1	yes	characteristic, complemented
839	#2741	C₂×C₅₃	1	1	yes	characteristic, complemented
840	#2730	C₂×C₅₃	1	1	yes	characteristic, complemented
841	#2714	C₂×C₅₃	1	1	yes	characteristic, complemented
842	#2703	C₂×C₅₃	1	1	yes	characteristic, complemented
843	#2702	C₂×C₅₃	1	1	yes	characteristic, complemented
844	#2696	C₂×C₅₃	1	1	yes	characteristic, complemented
845	#2688	C₂×C₅₃	1	1	yes	characteristic, complemented
846	#2676	C₂×C₅₃	1	1	yes	characteristic, complemented
847	#2613	C₂×C₅₃	1	1	yes	characteristic, complemented
848	#2613	C₂×C₅₃	1	1	yes	characteristic, complemented
849	#2493	C₂×C₅₃	1	1	yes	characteristic, complemented
850	#2488	C₂×C₅₃	1	1	yes	characteristic, complemented
851	#2480	C₂×C₅₃	1	1	yes	characteristic, complemented
852	#2472	C₂×C₅₃	1	1	yes	characteristic, complemented
853	#2425	C₂×C₅₃	1	1	yes	characteristic, complemented
854	#2424	C₂×C₅₃	1	1	yes	characteristic, complemented
855	#2419	C₂×C₅₃	1	1	yes	characteristic, complemented
856	#2418	C₂×C₅₃	1	1	yes	characteristic, complemented
857	#2321	C₂×C₅₃	1	1	yes	characteristic, complemented
858	#2321	C₂×C₅₃	1	1	yes	characteristic, complemented
859	C₂×#386	C₂×C₅₃	1	1	yes	characteristic, complemented
860	C₂×C₅₃	—	2	4	no	—
861	C₂×C₅₃	—	4	2	no	—
862	C₂×C₅₃	—	4	2	no	—
863	C₂×C₅₃	—	8	1	no	—
864	C₂×C₅₃	—	8	1	no	—
865	C₂×C₅₃	—	8	1	no	—
866	C₂×C₅₃	—	8	1	no	—
867	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
868	C₂×C₅₃	#3505	1	1	yes	characteristic
869	C₂×C₅₃	#3505	1	1	yes	characteristic
870	C₂×C₅₃	#3532	1	1	yes	characteristic
871	C₂×C₅₃	#3533	1	1	yes	characteristic
872	C₂×C₅₃	#3542	1	1	yes	characteristic
873	C₂×C₅₃	#3542	1	1	yes	characteristic
874	C₂³×D₄	C₂²×C₅₃	1	1	yes	characteristic
875	C₂⁴×C₄	C₂²×C₅₃	1	1	yes	characteristic
876	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
877	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic, complemented
878	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
879	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
880	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
881	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic
882	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
883	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
884	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
885	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
886	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
887	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
888	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
889	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
890	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
891	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
892	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
893	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
894	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
895	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
896	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
897	#401	C₂²×C₅₃	1	1	yes	characteristic, complemented
898	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
899	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
900	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
901	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
902	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
903	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
904	#399	C₂²×C₅₃	1	1	yes	characteristic, complemented
905	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
906	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
907	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
908	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
909	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
910	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
911	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
912	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
913	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
914	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
915	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
916	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
917	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
918	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
919	#394	C₂²×C₅₃	1	1	yes	characteristic
920	#394	C₂²×C₅₃	1	1	yes	characteristic
921	#394	C₂²×C₅₃	1	1	yes	characteristic
922	#394	C₂²×C₅₃	1	1	yes	characteristic
923	#394	C₂²×C₅₃	1	1	yes	characteristic
924	#394	C₂²×C₅₃	1	1	yes	characteristic
925	#394	C₂²×C₅₃	1	1	yes	characteristic
926	#394	C₂²×C₅₃	1	1	yes	characteristic
927	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
928	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
929	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
930	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
931	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
932	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
933	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
934	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
935	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
936	#392	C₂²×C₅₃	1	1	yes	characteristic
937	#392	C₂²×C₅₃	1	1	yes	characteristic
938	#392	C₂²×C₅₃	1	1	yes	characteristic
939	#392	C₂²×C₅₃	1	1	yes	characteristic
940	#392	C₂²×C₅₃	1	1	yes	characteristic
941	#392	C₂²×C₅₃	1	1	yes	characteristic
942	#392	C₂²×C₅₃	1	1	yes	characteristic
943	#392	C₂²×C₅₃	1	1	yes	characteristic
944	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
945	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
946	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
947	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
948	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
949	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
950	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
951	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
952	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
953	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
954	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
956	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
957	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
958	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
959	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
962	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
963	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
964	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
965	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
966	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
967	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
968	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
969	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
970	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
971	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
972	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
973	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
974	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
976	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
977	#386	C₂²×C₅₃	1	1	yes	characteristic
978	#386	C₂²×C₅₃	1	1	yes	characteristic
979	#386	C₂²×C₅₃	1	1	yes	characteristic
980	#386	C₂²×C₅₃	1	1	yes	characteristic
981	#386	C₂²×C₅₃	1	1	yes	characteristic
982	#386	C₂²×C₅₃	1	1	yes	characteristic
983	#386	C₂²×C₅₃	1	1	yes	characteristic
984	#386	C₂²×C₅₃	1	1	yes	characteristic
985	#386	C₂²×C₅₃	1	1	yes	characteristic
986	#386	C₂²×C₅₃	1	1	yes	characteristic
987	#386	C₂²×C₅₃	1	1	yes	characteristic
988	#386	C₂²×C₅₃	1	1	yes	characteristic
989	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
990	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
991	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
992	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
993	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
994	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
995	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
996	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
997	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
998	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
999	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1000	#385	C₂²×C₅₃	1	1	yes	characteristic
1001	#385	C₂²×C₅₃	1	1	yes	characteristic
1002	#385	C₂²×C₅₃	1	1	yes	characteristic
1003	#385	C₂²×C₅₃	1	1	yes	characteristic
1004	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1005	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1006	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1007	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1008	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1009	#383	C₂²×C₅₃	1	1	yes	characteristic, complemented
1010	#382	C₂²×C₅₃	1	1	yes	characteristic, complemented
1011	#381	C₂²×C₅₃	1	1	yes	characteristic
1012	#381	C₂²×C₅₃	1	1	yes	characteristic
1013	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1014	#380	C₂²×C₅₃	1	1	yes	characteristic
1015	#380	C₂²×C₅₃	1	1	yes	characteristic
1016	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1017	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1018	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1019	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1020	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1021	#379	C₂²×C₅₃	1	1	yes	characteristic
1022	#379	C₂²×C₅₃	1	1	yes	characteristic
1023	#379	C₂²×C₅₃	1	1	yes	characteristic
1024	#379	C₂²×C₅₃	1	1	yes	characteristic
1025	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
1026	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
1027	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
1028	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
1029	C₅₃	#36758	1	1	yes	characteristic, direct product factor, Sylow
1030	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1031	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1032	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1033	C₂²×D₄	—	2	4	no	—
1034	C₂²×D₄	—	4	2	no	—
1035	C₂²×D₄	—	4	2	no	—
1036	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1037	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1038	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1039	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1040	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1041	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1042	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1043	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1044	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1045	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1046	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1047	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1048	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1049	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1050	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1051	C₂³×C₄	—	4	2	no	—
1052	C₂³×C₄	—	4	2	no	—
1053	C₂³×C₄	—	4	2	no	—
1054	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1055	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1056	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1057	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1058	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1059	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1060	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1061	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1062	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1063	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1064	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1065	#126	—	4	2	no	—
1066	#124	—	4	2	no	—
1067	#123	—	4	2	no	—
1068	#123	—	4	2	no	—
1069	#123	—	4	2	no	—
1070	C₂²⋊Q₈	—	4	2	no	—
1071	C₂²⋊Q₈	—	4	2	no	—
1072	C₂²⋊Q₈	—	4	2	no	—
1073	#121	—	4	2	no	—
1074	#121	—	4	2	no	—
1075	#121	—	4	2	no	—
1076	#121	—	4	2	no	—
1077	#120	—	2	4	no	—
1078	#120	—	2	4	no	—
1079	#120	—	4	2	no	—
1080	#120	—	4	2	no	—
1081	C₄×D₄	—	4	2	no	—
1082	C₄×D₄	—	4	2	no	—
1083	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1084	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1086	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1087	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1089	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1090	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1091	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1098	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1099	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1103	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1104	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	—	4	2	no	—
1106	C₂×C₂²⋊C₄	—	4	2	no	—
1107	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1125	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1146	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1147	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1155	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1157	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1159	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1166	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1167	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1168	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1169	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1170	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1171	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1172	#95	C₂³×C₅₃	1	1	yes	characteristic
1173	#95	C₂³×C₅₃	1	1	yes	characteristic
1174	#95	C₂³×C₅₃	1	1	yes	characteristic
1175	#95	C₂³×C₅₃	1	1	yes	characteristic
1176	#95	C₂³×C₅₃	1	1	yes	characteristic
1177	#95	C₂³×C₅₃	1	1	yes	characteristic
1178	#95	C₂³×C₅₃	1	1	yes	characteristic
1179	#95	C₂³×C₅₃	1	1	yes	characteristic
1180	#95	C₂³×C₅₃	1	1	yes	characteristic
1181	#95	C₂³×C₅₃	1	1	yes	characteristic
1182	#95	C₂³×C₅₃	1	1	yes	characteristic
1183	#95	C₂³×C₅₃	1	1	yes	characteristic
1184	#95	C₂³×C₅₃	1	1	yes	characteristic
1185	#95	C₂³×C₅₃	1	1	yes	characteristic
1186	#95	C₂³×C₅₃	1	1	yes	characteristic
1187	#95	C₂³×C₅₃	1	1	yes	characteristic
1188	#95	C₂³×C₅₃	1	1	yes	characteristic
1189	#95	C₂³×C₅₃	1	1	yes	characteristic
1190	#95	C₂³×C₅₃	1	1	yes	characteristic
1191	#95	C₂³×C₅₃	1	1	yes	characteristic
1192	#95	C₂³×C₅₃	1	1	yes	characteristic
1193	#95	C₂³×C₅₃	1	1	yes	characteristic
1194	#95	C₂³×C₅₃	1	1	yes	characteristic
1195	#95	C₂³×C₅₃	1	1	yes	characteristic
1196	#95	C₂³×C₅₃	1	1	yes	characteristic
1197	#95	C₂³×C₅₃	1	1	yes	characteristic
1198	#95	C₂³×C₅₃	1	1	yes	characteristic
1199	#95	C₂³×C₅₃	1	1	yes	characteristic
1200	#95	C₂³×C₅₃	1	1	yes	characteristic
1201	#95	C₂³×C₅₃	1	1	yes	characteristic
1202	#95	C₂³×C₅₃	1	1	yes	characteristic
1203	#95	C₂³×C₅₃	1	1	yes	characteristic
1204	#95	C₂³×C₅₃	1	1	yes	characteristic
1205	#95	C₂³×C₅₃	1	1	yes	characteristic
1206	#95	C₂³×C₅₃	1	1	yes	characteristic
1207	#95	C₂³×C₅₃	1	1	yes	characteristic
1208	#95	C₂³×C₅₃	1	1	yes	characteristic
1209	#95	C₂³×C₅₃	1	1	yes	characteristic
1210	#95	C₂³×C₅₃	1	1	yes	characteristic
1211	#95	C₂³×C₅₃	1	1	yes	characteristic
1212	C₂⁴	—	2	2	no	—
1213	C₂⁴	—	2	2	no	—
1214	C₂⁴	—	2	2	no	—
1215	C₂⁴	—	2	2	no	—
1216	C₂⁴	—	2	2	no	—
1217	C₂⁴	—	4	1	no	—
1218	C₂⁴	—	4	1	no	—
1219	C₂⁴	—	4	1	no	—
1220	C₂⁴	—	4	1	no	—
1221	C₂⁴	—	4	1	no	—
1222	C₂⁴	—	4	1	no	—
1223	C₂⁴	—	4	1	no	—
1224	C₂⁴	—	4	1	no	—
1225	C₂⁴	#41×C₅₃	1	4	yes	—
1226	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1227	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1228	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1229	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1230	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1231	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1232	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1233	C₂×Q₈	—	2	2	no	—
1234	C₂×Q₈	—	4	1	no	—
1235	C₂×Q₈	—	4	1	no	—
1236	C₂×D₄	—	2	2	no	—
1237	C₂×D₄	—	2	2	no	—
1238	C₂×D₄	—	2	2	no	—
1239	C₂×D₄	—	2	2	no	—
1240	C₂×D₄	—	2	2	no	—
1241	C₂×D₄	—	2	2	no	—
1242	C₂×D₄	—	2	2	no	—
1243	C₂×D₄	—	2	2	no	—
1244	C₂×D₄	—	2	2	no	—
1245	C₂×D₄	—	2	2	no	—
1246	C₂×D₄	—	2	2	no	—
1247	C₂×D₄	—	2	2	no	—
1248	C₂×D₄	—	2	2	no	—
1249	C₂×D₄	—	2	2	no	—
1250	C₂×D₄	—	2	2	no	—
1251	C₂×D₄	—	4	1	no	—
1252	C₂×D₄	—	4	1	no	—
1253	C₂×D₄	—	4	1	no	—
1254	C₂×D₄	—	4	1	no	—
1255	C₂×D₄	—	4	1	no	—
1256	C₂×D₄	—	4	1	no	—
1257	C₂×D₄	—	4	1	no	—
1258	C₂×D₄	—	4	1	no	—
1259	C₂×D₄	—	4	1	no	—
1260	C₂×D₄	—	4	1	no	—
1261	C₂×D₄	—	4	1	no	—
1262	C₂×D₄	—	4	1	no	—
1263	C₂×D₄	—	4	1	no	—
1264	C₂×D₄	—	4	1	no	—
1265	C₂×D₄	—	4	1	no	—
1266	C₂×D₄	—	4	1	no	—
1267	C₂×D₄	—	4	1	no	—
1268	C₂×D₄	—	4	1	no	—
1269	C₂×D₄	—	4	1	no	—
1270	C₂×D₄	—	4	1	no	—
1271	C₂×D₄	—	4	1	no	—
1272	C₂×D₄	—	4	1	no	—
1273	C₂×D₄	—	4	1	no	—
1274	C₂×D₄	—	4	1	no	—
1275	C₂×D₄	—	4	1	no	—
1276	C₂×D₄	—	4	1	no	—
1277	C₂×D₄	—	4	1	no	—
1278	C₂×D₄	—	4	1	no	—
1279	C₂×D₄	—	4	1	no	—
1280	C₂×D₄	—	4	1	no	—
1281	C₂×D₄	—	4	16	no	—
1282	C₂²×C₄	—	2	2	no	—
1283	C₂²×C₄	—	2	2	no	—
1284	C₂²×C₄	—	2	2	no	—
1285	C₂²×C₄	—	2	2	no	—
1286	C₂²×C₄	—	2	2	no	—
1287	C₂²×C₄	—	2	2	no	—
1288	C₂²×C₄	—	2	2	no	—
1289	C₂²×C₄	—	2	2	no	—
1290	C₂²×C₄	—	2	2	no	—
1291	C₂²×C₄	—	2	2	no	—
1292	C₂²×C₄	—	2	2	no	—
1293	C₂²×C₄	—	2	2	no	—
1294	C₂²×C₄	—	2	2	no	—
1295	C₂²×C₄	—	4	1	no	—
1296	C₂²×C₄	—	4	1	no	—
1297	C₂²×C₄	—	4	1	no	—
1298	C₂²×C₄	—	4	1	no	—
1299	C₂²×C₄	—	4	1	no	—
1300	C₂²×C₄	—	4	1	no	—
1301	C₂²×C₄	—	4	1	no	—
1302	C₂²×C₄	—	4	1	no	—
1303	C₂²×C₄	—	4	1	no	—
1304	C₂²×C₄	—	4	1	no	—
1305	C₂²×C₄	—	4	1	no	—
1306	C₂²×C₄	—	4	1	no	—
1307	C₂²×C₄	—	4	1	no	—
1308	C₂²×C₄	—	4	1	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	16	no	—
1316	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1318	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1320	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1321	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1322	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1323	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1324	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1325	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1326	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1329	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1330	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1332	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1333	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1334	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1335	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1337	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1338	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1339	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1340	C₄⋊C₄	—	2	2	no	—
1341	C₄⋊C₄	—	2	2	no	—
1342	C₄⋊C₄	—	2	2	no	—
1343	C₄⋊C₄	—	2	2	no	—
1344	C₄⋊C₄	—	4	1	no	—
1345	C₄⋊C₄	—	4	1	no	—
1346	C₄⋊C₄	—	4	1	no	—
1347	C₄⋊C₄	—	4	1	no	—
1348	C₄⋊C₄	—	4	1	no	—
1349	C₄⋊C₄	—	4	1	no	—
1350	C₄⋊C₄	—	4	1	no	—
1351	C₄⋊C₄	—	4	1	no	—
1352	C₄⋊C₄	—	4	1	no	—
1353	C₄⋊C₄	—	4	1	no	—
1354	C₄⋊C₄	—	4	1	no	—
1355	C₄⋊C₄	—	4	1	no	—
1356	C₄⋊C₄	—	4	1	no	—
1357	C₄⋊C₄	—	4	1	no	—
1358	C₄⋊C₄	—	4	1	no	—
1359	C₄⋊C₄	—	4	1	no	—
1360	C₄⋊C₄	—	4	1	no	—
1361	C₄⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	2	2	no	—
1363	C₂²⋊C₄	—	2	2	no	—
1364	C₂²⋊C₄	—	2	2	no	—
1365	C₂²⋊C₄	—	2	2	no	—
1366	C₂²⋊C₄	—	2	2	no	—
1367	C₂²⋊C₄	—	2	2	no	—
1368	C₂²⋊C₄	—	2	2	no	—
1369	C₂²⋊C₄	—	2	2	no	—
1370	C₂²⋊C₄	—	2	2	no	—
1371	C₂²⋊C₄	—	2	2	no	—
1372	C₂²⋊C₄	—	2	2	no	—
1373	C₂²⋊C₄	—	2	2	no	—
1374	C₂²⋊C₄	—	2	2	no	—
1375	C₂²⋊C₄	—	2	2	no	—
1376	C₂²⋊C₄	—	2	2	no	—
1377	C₂²⋊C₄	—	2	2	no	—
1378	C₂²⋊C₄	—	4	1	no	—
1379	C₂²⋊C₄	—	4	1	no	—
1380	C₂²⋊C₄	—	4	1	no	—
1381	C₂²⋊C₄	—	4	1	no	—
1382	C₂²⋊C₄	—	4	1	no	—
1383	C₂²⋊C₄	—	4	1	no	—
1384	C₂²⋊C₄	—	4	1	no	—
1385	C₂²⋊C₄	—	4	1	no	—
1386	C₂²⋊C₄	—	4	1	no	—
1387	C₂²⋊C₄	—	4	1	no	—
1388	C₂²⋊C₄	—	4	1	no	—
1389	C₂²⋊C₄	—	4	1	no	—
1390	C₂²⋊C₄	—	4	1	no	—
1391	C₂²⋊C₄	—	4	1	no	—
1392	C₂²⋊C₄	—	4	1	no	—
1393	C₂²⋊C₄	—	4	1	no	—
1394	C₂²⋊C₄	—	4	1	no	—
1395	C₂²⋊C₄	—	4	1	no	—
1396	C₂²⋊C₄	—	4	1	no	—
1397	C₂²⋊C₄	—	4	1	no	—
1398	C₂²⋊C₄	—	4	1	no	—
1399	C₂²⋊C₄	—	4	1	no	—
1400	C₂²⋊C₄	—	4	1	no	—
1401	C₂²⋊C₄	—	4	1	no	—
1402	C₂²⋊C₄	—	4	1	no	—
1403	C₂²⋊C₄	—	4	1	no	—
1404	C₂²⋊C₄	—	4	1	no	—
1405	C₂²⋊C₄	—	4	1	no	—
1406	C₂²⋊C₄	—	4	1	no	—
1407	C₂²⋊C₄	—	4	1	no	—
1408	C₂²⋊C₄	—	4	1	no	—
1409	C₂²⋊C₄	—	4	1	no	—
1410	C₂²⋊C₄	—	4	1	no	—
1411	C₂²⋊C₄	—	4	1	no	—
1412	C₂²⋊C₄	—	4	1	no	—
1413	C₂²⋊C₄	—	4	1	no	—
1414	C₂²⋊C₄	—	4	1	no	—
1415	C₂²⋊C₄	—	4	1	no	—
1416	C₂²⋊C₄	—	4	1	no	—
1417	C₂²⋊C₄	—	4	1	no	—
1418	C₂²⋊C₄	—	4	1	no	—
1419	C₂²⋊C₄	—	4	1	no	—
1420	C₄²	—	4	1	no	—
1421	C₄²	—	4	1	no	—
1422	C₄²	—	4	1	no	—
1423	C₄²	—	4	1	no	—
1424	C₄²	—	4	1	no	—
1425	C₄²	—	4	1	no	—
1426	C₂³	—	2	1	no	—
1427	C₂³	—	2	1	no	—
1428	C₂³	—	2	1	no	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	8	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	2	1	no	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	2	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	2	1	no	—
1458	C₂³	—	2	1	no	—
1459	C₂³	—	2	1	no	—
1460	C₂³	—	2	1	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	2	1	no	—
1467	C₂³	—	2	1	no	—
1468	C₂³	—	2	1	no	—
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	1	no	—
1471	C₂³	—	4	4	no	—
1472	C₂³	—	4	4	no	—
1473	C₂³	—	4	4	no	—
1474	C₂³	—	4	4	no	—
1475	C₂³	—	4	4	no	—
1476	C₂³	—	4	4	no	—
1477	C₂³	—	4	4	no	—
1478	C₂³	—	4	4	no	—
1479	C₂³	—	4	4	no	—
1480	C₂³	—	8	2	no	—
1481	C₂³	—	8	2	no	—
1482	C₂³	—	8	2	no	—
1483	C₂³	—	8	2	no	—
1484	C₂³	C₂×#41×C₅₃	1	2	yes	—
1485	C₂³	C₂×#41×C₅₃	1	2	yes	—
1486	C₂³	C₂×#41×C₅₃	1	2	yes	—
1487	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1488	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1489	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1490	Q₈	—	8	2	no	—
1491	D₄	—	4	4	no	—
1492	D₄	—	4	4	no	—
1493	D₄	—	4	4	no	—
1494	D₄	—	4	4	no	—
1495	D₄	—	4	4	no	—
1496	D₄	—	4	4	no	—
1497	D₄	—	8	2	no	—
1498	D₄	—	8	2	no	—
1499	D₄	—	8	2	no	—
1500	D₄	—	8	2	no	—
1501	D₄	—	8	2	no	—
1502	D₄	—	8	2	no	—
1503	D₄	—	8	2	no	—
1504	D₄	—	8	2	no	—
1505	D₄	—	8	2	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	4	4	no	—
1577	C₂×C₄	—	4	4	no	—
1578	C₂×C₄	—	4	4	no	—
1579	C₂×C₄	—	4	4	no	—
1580	C₂×C₄	—	4	4	no	—
1581	C₂×C₄	—	4	4	no	—
1582	C₂×C₄	—	4	4	no	—
1583	C₂×C₄	—	8	2	no	—
1584	C₂×C₄	—	8	2	no	—
1585	C₂×C₄	—	8	2	no	—
1586	C₂×C₄	—	8	2	no	—
1587	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1588	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1589	C₂²	—	2	2	no	—
1590	C₂²	—	2	2	no	—
1591	C₂²	—	2	2	no	—
1592	C₂²	—	2	2	no	—
1593	C₂²	—	2	2	no	—
1594	C₂²	—	2	2	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	2	no	—
1597	C₂²	—	2	2	no	—
1598	C₂²	—	2	2	no	—
1599	C₂²	—	2	2	no	—
1600	C₂²	—	2	2	no	—
1601	C₂²	—	4	16	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	8	8	no	—
1639	C₂²	C₅₃×#538	1	4	yes	—
1640	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1641	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1642	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1643	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1644	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1645	C₂²	C₅₃×#585	1	1	yes	characteristic
1646	C₂²	C₅₃×#585	1	1	yes	characteristic
1647	C₄	—	2	2	no	—
1648	C₄	—	2	2	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₂	—	2	4	no	—
1672	C₂	—	4	2	no	—
1673	C₂	—	4	2	no	—
1674	C₂	—	8	1	no	—
1675	C₂	—	8	1	no	—
1676	C₂	—	8	1	no	—
1677	C₂	—	8	1	no	—
1678	C₂	C₂×C₅₃×#538	1	1	yes	characteristic
1679	C₂	C₅₃×#3505	1	1	yes	characteristic
1680	C₂	C₅₃×#3505	1	1	yes	characteristic
1681	C₂	C₅₃×#3532	1	1	yes	characteristic
1682	C₂	C₅₃×#3533	1	1	yes	characteristic
1683	C₂	C₅₃×#3542	1	1	yes	characteristic
1684	C₂	C₅₃×#3542	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₃
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×#2848	C₂	semidirect
2. C₅₃×#2847	C₂	semidirect
3. C₅₃×#2797	C₂	semidirect
4. C₅₃×#2781	C₂	semidirect
5. C₅₃×#2779	C₂	semidirect
6. C₅₃×#2778	C₂	semidirect
7. C₅₃×#2778	C₂	semidirect
8. C₅₃×#2756	C₂	semidirect
9. C₅₃×#2753	C₂	semidirect
10. C₅₃×#2749	C₂	semidirect
11. C₅₃×#2741	C₂	semidirect
12. C₅₃×#2730	C₂	semidirect
13. C₅₃×#2714	C₂	semidirect
14. C₅₃×#2703	C₂	semidirect
15. C₅₃×#2702	C₂	semidirect
16. C₅₃×#2696	C₂	semidirect
17. C₅₃×#2688	C₂	semidirect
18. C₅₃×#2676	C₂	semidirect
19. C₅₃×#2613	C₂	semidirect
20. C₅₃×#2613	C₂	semidirect
21. C₅₃×#2493	C₂	semidirect
22. C₅₃×#2488	C₂	semidirect
23. C₅₃×#2480	C₂	semidirect
24. C₅₃×#2472	C₂	semidirect
25. C₅₃×#2425	C₂	semidirect
26. C₅₃×#2424	C₂	semidirect
27. C₅₃×#2419	C₂	semidirect
28. C₅₃×#2418	C₂	semidirect
29. C₅₃×#2321	C₂	semidirect
30. C₅₃×#2321	C₂	semidirect
31. C₂×C₅₃×#386	C₂	semidirect
34. C₂×#126×C₅₃	C₂²	semidirect
35. C₂×#124×C₅₃	C₂²	semidirect
38. C₂×#123×C₅₃	C₂²	semidirect
40. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
41. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
43. C₂×#121×C₅₃	C₂²	semidirect
44. C₂×#121×C₅₃	C₂²	semidirect
45. C₂×#121×C₅₃	C₂²	semidirect
55. C₅₃×#401	C₂²	semidirect
56. C₅₃×#400	C₂²	semidirect
57. C₅₃×#400	C₂²	semidirect
58. C₅₃×#400	C₂²	semidirect
59. C₅₃×#400	C₂²	semidirect
60. C₅₃×#400	C₂²	semidirect
61. C₅₃×#400	C₂²	semidirect
62. C₅₃×#399	C₂²	semidirect
63. C₅₃×#398	C₂²	semidirect
64. C₅₃×#398	C₂²	semidirect
65. C₅₃×#397	C₂²	semidirect
66. C₅₃×#397	C₂²	semidirect
67. C₅₃×#397	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×#396	C₂²	semidirect
75. C₅₃×#396	C₂²	semidirect
76. C₅₃×#396	C₂²	semidirect
85. C₅₃×#394	C₂²	semidirect
86. C₅₃×#394	C₂²	semidirect
87. C₅₃×#394	C₂²	semidirect
88. C₅₃×#394	C₂²	semidirect
89. C₅₃×#394	C₂²	semidirect
90. C₅₃×#394	C₂²	semidirect
91. C₅₃×#394	C₂²	semidirect
92. C₅₃×#393	C₂²	semidirect
93. C₅₃×#393	C₂²	semidirect
102. C₅₃×#392	C₂²	semidirect
103. C₅₃×#391	C₂²	semidirect
104. C₅₃×#390	C₂²	semidirect
105. C₅₃×#390	C₂²	semidirect
106. C₅₃×#390	C₂²	semidirect
107. C₅₃×#390	C₂²	semidirect
108. C₅₃×#390	C₂²	semidirect
109. C₅₃×#390	C₂²	semidirect
110. 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
147. C₅₃×#386	C₂²	semidirect
148. C₅₃×#386	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
156. C₅₃×#386	C₂²	semidirect
157. C₅₃×#386	C₂²	semidirect
162. C₅₃×#385	C₂²	semidirect
163. C₅₃×#385	C₂²	semidirect
164. C₅₃×#385	C₂²	semidirect
165. C₅₃×#385	C₂²	semidirect
166. C₅₃×#385	C₂²	semidirect
167. C₅₃×#383	C₂²	semidirect
168. C₅₃×#382	C₂²	semidirect
171. C₅₃×#381	C₂²	semidirect
174. C₅₃×#380	C₂²	semidirect
175. C₅₃×#380	C₂²	semidirect
176. C₅₃×#380	C₂²	semidirect
177. C₅₃×#380	C₂²	semidirect
178. C₅₃×#380	C₂²	semidirect
746. #36758	C₅₃	direct (N × H)
829. #2848	C₂×C₅₃	semidirect
830. #2847	C₂×C₅₃	semidirect
831. #2797	C₂×C₅₃	semidirect
832. #2781	C₂×C₅₃	semidirect
833. #2779	C₂×C₅₃	semidirect
834. #2778	C₂×C₅₃	semidirect
835. #2778	C₂×C₅₃	semidirect
836. #2756	C₂×C₅₃	semidirect
837. #2753	C₂×C₅₃	semidirect
838. #2749	C₂×C₅₃	semidirect
839. #2741	C₂×C₅₃	semidirect
840. #2730	C₂×C₅₃	semidirect
841. #2714	C₂×C₅₃	semidirect
842. #2703	C₂×C₅₃	semidirect
843. #2702	C₂×C₅₃	semidirect
844. #2696	C₂×C₅₃	semidirect
845. #2688	C₂×C₅₃	semidirect
846. #2676	C₂×C₅₃	semidirect
847. #2613	C₂×C₅₃	semidirect
848. #2613	C₂×C₅₃	semidirect
849. #2493	C₂×C₅₃	semidirect
850. #2488	C₂×C₅₃	semidirect
851. #2480	C₂×C₅₃	semidirect
852. #2472	C₂×C₅₃	semidirect
853. #2425	C₂×C₅₃	semidirect
854. #2424	C₂×C₅₃	semidirect
855. #2419	C₂×C₅₃	semidirect
856. #2418	C₂×C₅₃	semidirect
857. #2321	C₂×C₅₃	semidirect
858. #2321	C₂×C₅₃	semidirect
859. C₂×#386	C₂×C₅₃	semidirect
876. C₂×#126	C₂²×C₅₃	semidirect
877. C₂×#124	C₂²×C₅₃	semidirect
880. C₂×#123	C₂²×C₅₃	semidirect
882. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
883. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
885. C₂×#121	C₂²×C₅₃	semidirect
886. C₂×#121	C₂²×C₅₃	semidirect
887. C₂×#121	C₂²×C₅₃	semidirect
897. #401	C₂²×C₅₃	semidirect
898. #400	C₂²×C₅₃	semidirect
899. #400	C₂²×C₅₃	semidirect
900. #400	C₂²×C₅₃	semidirect
901. #400	C₂²×C₅₃	semidirect
902. #400	C₂²×C₅₃	semidirect
903. #400	C₂²×C₅₃	semidirect
904. #399	C₂²×C₅₃	semidirect
905. #398	C₂²×C₅₃	semidirect
906. #398	C₂²×C₅₃	semidirect
907. #397	C₂²×C₅₃	semidirect
908. #397	C₂²×C₅₃	semidirect
909. #397	C₂²×C₅₃	semidirect
910. #397	C₂²×C₅₃	semidirect
911. #397	C₂²×C₅₃	semidirect
912. #397	C₂²×C₅₃	semidirect
913. #397	C₂²×C₅₃	semidirect
914. #397	C₂²×C₅₃	semidirect
915. #397	C₂²×C₅₃	semidirect
916. #396	C₂²×C₅₃	semidirect
917. #396	C₂²×C₅₃	semidirect
918. #396	C₂²×C₅₃	semidirect
927. #394	C₂²×C₅₃	semidirect
928. #394	C₂²×C₅₃	semidirect
929. #394	C₂²×C₅₃	semidirect
930. #394	C₂²×C₅₃	semidirect
931. #394	C₂²×C₅₃	semidirect
932. #394	C₂²×C₅₃	semidirect
933. #394	C₂²×C₅₃	semidirect
934. #393	C₂²×C₅₃	semidirect
935. #393	C₂²×C₅₃	semidirect
944. #392	C₂²×C₅₃	semidirect
945. #391	C₂²×C₅₃	semidirect
946. #390	C₂²×C₅₃	semidirect
947. #390	C₂²×C₅₃	semidirect
948. #390	C₂²×C₅₃	semidirect
949. #390	C₂²×C₅₃	semidirect
950. #390	C₂²×C₅₃	semidirect
951. #390	C₂²×C₅₃	semidirect
952. #389	C₂²×C₅₃	semidirect
953. #388	C₂²×C₅₃	semidirect
954. #388	C₂²×C₅₃	semidirect
955. #388	C₂²×C₅₃	semidirect
956. #388	C₂²×C₅₃	semidirect
957. #388	C₂²×C₅₃	semidirect
958. #388	C₂²×C₅₃	semidirect
959. #388	C₂²×C₅₃	semidirect
960. #388	C₂²×C₅₃	semidirect
961. #388	C₂²×C₅₃	semidirect
962. #388	C₂²×C₅₃	semidirect
963. #388	C₂²×C₅₃	semidirect
964. #388	C₂²×C₅₃	semidirect
965. #388	C₂²×C₅₃	semidirect
966. #388	C₂²×C₅₃	semidirect
967. #388	C₂²×C₅₃	semidirect
968. #388	C₂²×C₅₃	semidirect
969. #388	C₂²×C₅₃	semidirect
970. #388	C₂²×C₅₃	semidirect
971. #388	C₂²×C₅₃	semidirect
972. #387	C₂²×C₅₃	semidirect
973. #387	C₂²×C₅₃	semidirect
974. #387	C₂²×C₅₃	semidirect
975. #387	C₂²×C₅₃	semidirect
976. #387	C₂²×C₅₃	semidirect
989. #386	C₂²×C₅₃	semidirect
990. #386	C₂²×C₅₃	semidirect
991. #386	C₂²×C₅₃	semidirect
992. #386	C₂²×C₅₃	semidirect
993. #386	C₂²×C₅₃	semidirect
994. #386	C₂²×C₅₃	semidirect
995. #386	C₂²×C₅₃	semidirect
996. #386	C₂²×C₅₃	semidirect
997. #386	C₂²×C₅₃	semidirect
998. #386	C₂²×C₅₃	semidirect
999. #386	C₂²×C₅₃	semidirect
1004. #385	C₂²×C₅₃	semidirect
1005. #385	C₂²×C₅₃	semidirect
1006. #385	C₂²×C₅₃	semidirect
1007. #385	C₂²×C₅₃	semidirect
1008. #385	C₂²×C₅₃	semidirect
1009. #383	C₂²×C₅₃	semidirect
1010. #382	C₂²×C₅₃	semidirect
1013. #381	C₂²×C₅₃	semidirect
1016. #380	C₂²×C₅₃	semidirect
1017. #380	C₂²×C₅₃	semidirect
1018. #380	C₂²×C₅₃	semidirect
1019. #380	C₂²×C₅₃	semidirect
1020. #380	C₂²×C₅₃	semidirect
1029. C₅₃	#36758	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×#2848	2
C₅₃×#2847	2
C₅₃×#2797	2
C₅₃×#2781	2
C₅₃×#2779	2
C₅₃×#2778	2
C₅₃×#2756	2
C₅₃×#2753	2
C₅₃×#2749	2
C₅₃×#2741	2
C₅₃×#2730	2
C₅₃×#2714	2
C₅₃×#2703	2
C₅₃×#2702	2
C₅₃×#2696	2
C₅₃×#2688	2
C₅₃×#2676	2
C₅₃×#2613	2
C₅₃×#2493	2
C₅₃×#2488	2
C₅₃×#2480	2
C₅₃×#2472	2
C₅₃×#2425	2
C₅₃×#2424	2
C₅₃×#2419	2
C₅₃×#2418	2
C₅₃×#2321	2
C₂×C₅₃×#386	2
#36758	53

Subgroups — C53×#36758 #27244270

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#36758 #27244270