Subgroups — C₅₃×#35096 #27242608

Order 13568.

2342 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#41×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2855	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2853	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2852	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2851	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2638	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2637	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2634	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2630	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2478	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2477	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2475	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2470	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2468	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2465	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2462	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2457	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2450	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2438	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2430	C₂	1	1	yes	maximal, characteristic
23	C₅₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#2419	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#2413	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2406	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#123×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic
33	C₅₃×#539	—	2	8	no	—
34	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic
35	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic
36	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic
37	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic
38	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
39	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
40	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
41	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
42	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
43	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
47	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
48	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
49	C₄×#41×C₅₃	—	2	8	no	—
50	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
59	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
60	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
61	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
62	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
63	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
64	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
65	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
66	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
67	C₅₃×#400	C₂²	1	1	yes	characteristic
68	C₅₃×#400	C₂²	1	1	yes	characteristic
69	C₅₃×#400	C₂²	1	1	yes	characteristic
70	C₅₃×#400	C₂²	1	1	yes	characteristic
71	C₅₃×#398	C₂²	1	1	yes	characteristic
72	C₅₃×#398	C₂²	1	1	yes	characteristic
73	C₅₃×#398	C₂²	1	1	yes	characteristic
74	C₅₃×#398	C₂²	1	1	yes	characteristic
75	C₅₃×#398	C₂²	1	1	yes	characteristic
76	C₅₃×#398	C₂²	1	1	yes	characteristic
77	C₅₃×#398	C₂²	1	1	yes	characteristic
78	C₅₃×#397	C₂²	1	1	yes	characteristic
79	C₅₃×#397	C₂²	1	1	yes	characteristic
80	C₅₃×#397	C₂²	1	1	yes	characteristic
81	C₅₃×#397	C₂²	1	1	yes	characteristic
82	C₅₃×#397	C₂²	1	1	yes	characteristic
83	C₅₃×#396	C₂²	1	1	yes	characteristic
84	C₅₃×#396	C₂²	1	1	yes	characteristic
85	C₅₃×#396	C₂²	1	1	yes	characteristic
86	C₅₃×#396	C₂²	1	1	yes	characteristic
87	C₅₃×#395	C₂²	1	1	yes	characteristic
88	C₅₃×#395	C₂²	1	1	yes	characteristic
89	C₅₃×#395	C₂²	1	1	yes	characteristic
90	C₅₃×#395	C₂²	1	1	yes	characteristic
91	C₅₃×#394	C₂²	1	1	yes	characteristic
92	C₅₃×#394	C₂²	1	1	yes	characteristic
93	C₅₃×#394	C₂²	1	1	yes	characteristic
94	C₅₃×#394	C₂²	1	1	yes	characteristic
95	C₅₃×#394	C₂²	1	1	yes	characteristic
96	C₅₃×#393	C₂²	1	1	yes	characteristic
97	C₅₃×#393	C₂²	1	1	yes	characteristic
98	C₅₃×#392	C₂²	1	1	yes	characteristic
99	C₅₃×#391	C₂²	1	1	yes	characteristic
100	C₅₃×#391	C₂²	1	1	yes	characteristic
101	C₅₃×#389	C₂²	1	1	yes	characteristic
102	C₅₃×#389	C₂²	1	1	yes	characteristic
103	C₅₃×#389	C₂²	1	1	yes	characteristic
104	C₅₃×#389	C₂²	1	1	yes	characteristic
105	C₅₃×#389	C₂²	1	1	yes	characteristic
106	C₅₃×#389	C₂²	1	1	yes	characteristic
107	C₅₃×#388	C₂²	1	1	yes	characteristic
108	C₅₃×#388	C₂²	1	1	yes	characteristic
109	C₅₃×#388	C₂²	1	1	yes	characteristic
110	C₅₃×#388	C₂²	1	1	yes	characteristic
111	C₅₃×#388	C₂²	1	1	yes	characteristic
112	C₅₃×#388	C₂²	1	1	yes	characteristic
113	C₅₃×#388	C₂²	1	1	yes	characteristic
114	C₅₃×#388	C₂²	1	1	yes	characteristic
115	C₅₃×#388	C₂²	1	1	yes	characteristic
116	C₅₃×#388	C₂²	1	1	yes	characteristic
117	C₅₃×#388	C₂²	1	1	yes	characteristic
118	C₅₃×#388	C₂²	1	1	yes	characteristic
119	C₅₃×#387	C₂²	1	1	yes	characteristic
120	C₅₃×#387	C₂²	1	1	yes	characteristic
121	C₅₃×#387	C₂²	1	1	yes	characteristic
122	C₅₃×#387	C₂²	1	1	yes	characteristic
123	C₅₃×#387	C₂²	1	1	yes	characteristic
124	C₅₃×#387	C₂²	1	1	yes	characteristic
125	C₅₃×#387	C₂²	1	1	yes	characteristic
126	C₅₃×#387	C₂²	1	1	yes	characteristic
127	C₅₃×#387	C₂²	1	1	yes	characteristic
128	C₅₃×#387	C₂²	1	1	yes	characteristic
129	C₅₃×#387	C₂²	1	1	yes	characteristic
130	C₅₃×#387	C₂²	1	1	yes	characteristic
131	C₅₃×#387	C₂²	1	1	yes	characteristic
132	C₅₃×#387	C₂²	1	1	yes	characteristic
133	C₅₃×#387	C₂²	1	1	yes	characteristic
134	C₅₃×#387	C₂²	1	1	yes	characteristic
135	C₅₃×#387	C₂²	1	1	yes	characteristic
136	C₅₃×#387	C₂²	1	1	yes	characteristic
137	C₅₃×#387	C₂²	1	1	yes	characteristic
138	C₅₃×#387	C₂²	1	1	yes	characteristic
139	C₅₃×#387	C₂²	1	1	yes	characteristic
140	C₅₃×#387	C₂²	1	1	yes	characteristic
141	C₅₃×#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
150	C₅₃×#386	C₂²	1	1	yes	characteristic
151	C₅₃×#386	C₂²	1	1	yes	characteristic
152	C₅₃×#386	C₂²	1	1	yes	characteristic
153	C₅₃×#385	C₂²	1	1	yes	characteristic
154	C₅₃×#385	C₂²	1	1	yes	characteristic
155	C₅₃×#385	C₂²	1	1	yes	characteristic
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
160	C₅₃×#385	C₂²	1	1	yes	characteristic
161	C₅₃×#385	C₂²	1	1	yes	characteristic
162	C₅₃×#385	C₂²	1	1	yes	characteristic
163	C₅₃×#385	C₂²	1	1	yes	characteristic
164	C₅₃×#385	C₂²	1	1	yes	characteristic
165	C₅₃×#385	C₂²	1	1	yes	characteristic
166	C₅₃×#385	C₂²	1	1	yes	characteristic
167	C₅₃×#385	C₂²	1	1	yes	characteristic
168	C₅₃×#385	C₂²	1	1	yes	characteristic
169	C₅₃×#383	C₂²	1	1	yes	characteristic
170	C₅₃×#382	C₂²	1	1	yes	characteristic
171	C₅₃×#381	C₂²	1	1	yes	characteristic
172	C₅₃×#381	C₂²	1	1	yes	characteristic
173	C₅₃×#381	C₂²	1	1	yes	characteristic
174	C₅₃×#381	C₂²	1	1	yes	characteristic
175	C₅₃×#381	C₂²	1	1	yes	characteristic
176	C₅₃×#380	C₂²	1	1	yes	characteristic
177	C₅₃×#380	C₂²	1	1	yes	characteristic
178	C₅₃×#380	C₂²	1	1	yes	characteristic
179	C₅₃×#380	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
181	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
185	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
186	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
187	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
188	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
189	C₂×#41×C₅₃	—	2	4	no	—
190	C₂×#41×C₅₃	—	2	4	no	—
191	C₂×#41×C₅₃	—	2	4	no	—
192	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
193	C₂²×Q₈×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	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
201	C₂³×C₄×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	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
214	#126×C₅₃	—	2	4	no	—
215	#126×C₅₃	—	2	4	no	—
216	#125×C₅₃	—	2	4	no	—
217	#125×C₅₃	—	2	4	no	—
218	#123×C₅₃	—	2	4	no	—
219	#123×C₅₃	—	2	4	no	—
220	#123×C₅₃	—	2	4	no	—
221	#123×C₅₃	—	2	4	no	—
222	#123×C₅₃	—	2	4	no	—
223	#123×C₅₃	—	2	4	no	—
224	C₂²⋊Q₈×C₅₃	—	2	4	no	—
225	C₂²⋊Q₈×C₅₃	—	2	4	no	—
226	C₂²⋊Q₈×C₅₃	—	2	4	no	—
227	#121×C₅₃	—	2	4	no	—
228	#121×C₅₃	—	2	4	no	—
229	C₄×Q₈×C₅₃	—	2	4	no	—
230	C₄×Q₈×C₅₃	—	2	4	no	—
231	C₄×D₄×C₅₃	—	2	4	no	—
232	C₄×D₄×C₅₃	—	2	4	no	—
233	C₄×D₄×C₅₃	—	2	4	no	—
234	C₄×D₄×C₅₃	—	2	4	no	—
235	C₄×D₄×C₅₃	—	2	4	no	—
236	C₄×D₄×C₅₃	—	2	4	no	—
237	C₄×D₄×C₅₃	D₄	1	8	yes	complemented
238	#117×C₅₃	—	2	4	no	—
239	#117×C₅₃	—	2	4	no	—
240	#117×C₅₃	—	2	4	no	—
241	C₂×C₄⋊C₄×C₅₃	—	2	4	no	—
242	C₂×C₄⋊C₄×C₅₃	—	2	4	no	—
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×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊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×C₄²×C₅₃	—	2	4	no	—
316	C₂×C₄²×C₅₃	—	2	4	no	—
317	C₂×C₄²×C₅₃	—	2	4	no	—
318	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
322	C₂×C₄²×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	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
330	C₂×C₄²×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	#95×C₅₃	C₂³	1	1	yes	characteristic
370	#95×C₅₃	C₂³	1	1	yes	characteristic
371	#95×C₅₃	C₂³	1	1	yes	characteristic
372	#95×C₅₃	C₂³	1	1	yes	characteristic
373	#95×C₅₃	C₂³	1	1	yes	characteristic
374	#95×C₅₃	C₂³	1	1	yes	characteristic
375	#95×C₅₃	C₂³	1	1	yes	characteristic
376	#95×C₅₃	C₂³	1	1	yes	characteristic
377	#95×C₅₃	C₂³	1	1	yes	characteristic
378	#95×C₅₃	C₂³	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	#41×C₅₃	—	2	32	no	—
384	C₂×Q₈×C₅₃	—	2	2	no	—
385	C₂×Q₈×C₅₃	—	2	2	no	—
386	C₂×Q₈×C₅₃	—	2	2	no	—
387	C₂×Q₈×C₅₃	—	2	2	no	—
388	C₂×Q₈×C₅₃	—	4	1	no	—
389	C₂×Q₈×C₅₃	—	4	1	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	—	2	2	no	—
401	C₂×D₄×C₅₃	—	2	2	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	C₂×D₄	1	4	yes	—
407	C₂×D₄×C₅₃	#41	1	4	yes	—
408	C₂²×C₄×C₅₃	—	2	2	no	—
409	C₂²×C₄×C₅₃	—	2	2	no	—
410	C₂²×C₄×C₅₃	—	2	2	no	—
411	C₂²×C₄×C₅₃	—	2	2	no	—
412	C₂²×C₄×C₅₃	—	2	2	no	—
413	C₂²×C₄×C₅₃	—	2	2	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	—	2	2	no	—
425	C₂²×C₄×C₅₃	—	2	2	no	—
426	C₂²×C₄×C₅₃	—	2	2	no	—
427	C₂²×C₄×C₅₃	—	2	2	no	—
428	C₂²×C₄×C₅₃	—	2	2	no	—
429	C₂²×C₄×C₅₃	—	2	2	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	—	4	1	no	—
445	C₂²×C₄×C₅₃	—	4	1	no	—
446	C₂²×C₄×C₅₃	—	4	1	no	—
447	C₂²×C₄×C₅₃	C₂×D₄	1	4	yes	—
448	C₂²×C₄×C₅₃	C₂×D₄	1	4	yes	—
449	C₂²×C₄×C₅₃	#41	1	4	yes	—
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	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₅₃	—	2	2	no	—
478	C₄⋊C₄×C₅₃	—	2	2	no	—
479	C₄⋊C₄×C₅₃	—	2	2	no	—
480	C₄⋊C₄×C₅₃	—	2	2	no	—
481	C₄⋊C₄×C₅₃	—	2	2	no	—
482	C₄⋊C₄×C₅₃	—	2	2	no	—
483	C₄⋊C₄×C₅₃	—	2	2	no	—
484	C₄⋊C₄×C₅₃	—	2	2	no	—
485	C₄⋊C₄×C₅₃	—	2	2	no	—
486	C₄⋊C₄×C₅₃	—	2	2	no	—
487	C₄⋊C₄×C₅₃	—	2	2	no	—
488	C₄⋊C₄×C₅₃	—	2	2	no	—
489	C₄⋊C₄×C₅₃	—	2	2	no	—
490	C₄⋊C₄×C₅₃	—	2	2	no	—
491	C₄⋊C₄×C₅₃	—	2	2	no	—
492	C₄⋊C₄×C₅₃	—	2	2	no	—
493	C₄⋊C₄×C₅₃	—	2	2	no	—
494	C₄⋊C₄×C₅₃	—	2	2	no	—
495	C₄⋊C₄×C₅₃	—	2	2	no	—
496	C₄⋊C₄×C₅₃	—	2	2	no	—
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	—	2	2	no	—
502	C₄⋊C₄×C₅₃	—	2	2	no	—
503	C₄⋊C₄×C₅₃	—	2	2	no	—
504	C₄⋊C₄×C₅₃	—	2	2	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	C₂×D₄	1	4	yes	—
515	C₂²⋊C₄×C₅₃	—	2	2	no	—
516	C₂²⋊C₄×C₅₃	—	2	2	no	—
517	C₂²⋊C₄×C₅₃	—	2	2	no	—
518	C₂²⋊C₄×C₅₃	—	2	2	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	—	2	2	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	C₂×D₄	1	4	yes	—
548	C₂²⋊C₄×C₅₃	C₂×D₄	1	4	yes	—
549	C₄²×C₅₃	—	2	2	no	—
550	C₄²×C₅₃	—	2	2	no	—
551	C₄²×C₅₃	—	2	2	no	—
552	C₄²×C₅₃	—	2	2	no	—
553	C₄²×C₅₃	—	2	2	no	—
554	C₄²×C₅₃	—	2	2	no	—
555	C₄²×C₅₃	—	2	2	no	—
556	C₄²×C₅₃	—	2	2	no	—
557	C₄²×C₅₃	—	2	2	no	—
558	C₄²×C₅₃	—	2	2	no	—
559	C₄²×C₅₃	—	4	1	no	—
560	C₄²×C₅₃	—	4	1	no	—
561	C₄²×C₅₃	C₂×D₄	1	4	yes	—
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	1	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	C₂²×D₄	1	2	yes	—
586	C₂³×C₅₃	C₂²×D₄	1	2	yes	—
587	C₂³×C₅₃	C₂×#41	1	2	yes	—
588	C₂³×C₅₃	C₂×#41	1	2	yes	—
589	C₂³×C₅₃	C₂×#41	1	2	yes	—
590	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
591	Q₈×C₅₃	—	2	8	no	—
592	Q₈×C₅₃	—	8	2	no	—
593	D₄×C₅₃	—	2	8	no	—
594	D₄×C₅₃	—	2	8	no	—
595	D₄×C₅₃	—	2	8	no	—
596	D₄×C₅₃	—	4	4	no	—
597	D₄×C₅₃	—	8	2	no	—
598	D₄×C₅₃	—	8	2	no	—
599	C₂×C₄×C₅₃	—	2	8	no	—
600	C₂×C₄×C₅₃	—	2	8	no	—
601	C₂×C₄×C₅₃	—	2	8	no	—
602	C₂×C₄×C₅₃	—	2	1	no	—
603	C₂×C₄×C₅₃	—	2	1	no	—
604	C₂×C₄×C₅₃	—	2	1	no	—
605	C₂×C₄×C₅₃	—	2	1	no	—
606	C₂×C₄×C₅₃	—	2	1	no	—
607	C₂×C₄×C₅₃	—	2	1	no	—
608	C₂×C₄×C₅₃	—	2	1	no	—
609	C₂×C₄×C₅₃	—	2	1	no	—
610	C₂×C₄×C₅₃	—	2	1	no	—
611	C₂×C₄×C₅₃	—	2	1	no	—
612	C₂×C₄×C₅₃	—	2	1	no	—
613	C₂×C₄×C₅₃	—	2	1	no	—
614	C₂×C₄×C₅₃	—	2	1	no	—
615	C₂×C₄×C₅₃	—	2	1	no	—
616	C₂×C₄×C₅₃	—	2	1	no	—
617	C₂×C₄×C₅₃	—	2	1	no	—
618	C₂×C₄×C₅₃	—	2	1	no	—
619	C₂×C₄×C₅₃	—	2	1	no	—
620	C₂×C₄×C₅₃	—	2	1	no	—
621	C₂×C₄×C₅₃	—	2	1	no	—
622	C₂×C₄×C₅₃	—	2	1	no	—
623	C₂×C₄×C₅₃	—	2	1	no	—
624	C₂×C₄×C₅₃	—	2	1	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	—	4	4	no	—
675	C₂×C₄×C₅₃	—	4	4	no	—
676	C₂×C₄×C₅₃	—	4	4	no	—
677	C₂×C₄×C₅₃	—	4	4	no	—
678	C₂×C₄×C₅₃	—	4	4	no	—
679	C₂×C₄×C₅₃	—	4	4	no	—
680	C₂×C₄×C₅₃	—	4	4	no	—
681	C₂×C₄×C₅₃	—	4	4	no	—
682	C₂×C₄×C₅₃	—	8	2	no	—
683	C₂×C₄×C₅₃	—	8	2	no	—
684	C₂×C₄×C₅₃	—	8	2	no	—
685	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
686	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
687	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
688	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
689	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
690	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
691	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
692	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
693	C₂×C₄×C₅₃	2₋¹⁺⁴	1	2	yes	—
694	#35096	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
695	C₂²×C₅₃	—	2	2	no	—
696	C₂²×C₅₃	—	2	2	no	—
697	C₂²×C₅₃	—	2	2	no	—
698	C₂²×C₅₃	—	2	2	no	—
699	C₂²×C₅₃	—	2	2	no	—
700	C₂²×C₅₃	—	2	2	no	—
701	C₂²×C₅₃	—	2	2	no	—
702	C₂²×C₅₃	—	2	2	no	—
703	C₂²×C₅₃	—	2	2	no	—
704	C₂²×C₅₃	—	2	2	no	—
705	C₂²×C₅₃	—	2	2	no	—
706	C₂²×C₅₃	—	2	2	no	—
707	C₂²×C₅₃	—	4	1	no	—
708	C₂²×C₅₃	—	4	1	no	—
709	C₂²×C₅₃	—	4	1	no	—
710	C₂²×C₅₃	—	4	1	no	—
711	C₂²×C₅₃	—	4	1	no	—
712	C₂²×C₅₃	—	4	1	no	—
713	C₂²×C₅₃	—	4	1	no	—
714	C₂²×C₅₃	—	4	1	no	—
715	C₂²×C₅₃	—	4	1	no	—
716	C₂²×C₅₃	—	4	1	no	—
717	C₂²×C₅₃	—	4	1	no	—
718	C₂²×C₅₃	—	4	1	no	—
719	C₂²×C₅₃	—	4	1	no	—
720	C₂²×C₅₃	—	4	1	no	—
721	C₂²×C₅₃	—	4	1	no	—
722	C₂²×C₅₃	#525	1	4	yes	—
723	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
724	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
725	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
726	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
727	C₂²×C₅₃	#585	1	1	yes	characteristic
728	C₂²×C₅₃	#585	1	1	yes	characteristic
729	C₂²×C₅₃	#585	1	1	yes	characteristic
730	C₄×C₅₃	—	2	2	no	—
731	C₄×C₅₃	—	2	2	no	—
732	C₄×C₅₃	—	2	2	no	—
733	C₄×C₅₃	—	2	2	no	—
734	C₄×C₅₃	—	2	2	no	—
735	C₄×C₅₃	—	2	2	no	—
736	C₄×C₅₃	—	2	2	no	—
737	C₄×C₅₃	—	2	2	no	—
738	C₄×C₅₃	—	2	2	no	—
739	C₄×C₅₃	—	4	1	no	—
740	C₄×C₅₃	—	4	1	no	—
741	C₄×C₅₃	—	4	1	no	—
742	C₄×C₅₃	—	4	1	no	—
743	C₄×C₅₃	—	4	1	no	—
744	C₄×C₅₃	—	4	1	no	—
745	C₄×C₅₃	—	4	1	no	—
746	C₄×C₅₃	—	4	1	no	—
747	C₄×C₅₃	—	4	1	no	—
748	C₄×C₅₃	—	4	1	no	—
749	C₄×C₅₃	—	4	1	no	—
750	C₄×C₅₃	—	4	1	no	—
751	C₄×C₅₃	—	4	1	no	—
752	C₄×C₅₃	—	4	1	no	—
753	C₄×C₅₃	—	4	1	no	—
754	C₄×C₅₃	—	4	1	no	—
755	C₄×C₅₃	—	4	1	no	—
756	C₄×C₅₃	—	4	1	no	—
757	C₂×#539	C₂×C₅₃	1	1	yes	characteristic, complemented
758	C₂×C₄×#41	C₂×C₅₃	1	1	yes	characteristic, complemented
759	#2855	C₂×C₅₃	1	1	yes	characteristic, complemented
760	#2853	C₂×C₅₃	1	1	yes	characteristic, complemented
761	#2852	C₂×C₅₃	1	1	yes	characteristic, complemented
762	#2851	C₂×C₅₃	1	1	yes	characteristic, complemented
763	#2638	C₂×C₅₃	1	1	yes	characteristic, complemented
764	#2637	C₂×C₅₃	1	1	yes	characteristic, complemented
765	#2634	C₂×C₅₃	1	1	yes	characteristic, complemented
766	#2630	C₂×C₅₃	1	1	yes	characteristic, complemented
767	#2478	C₂×C₅₃	1	1	yes	characteristic, complemented
768	#2477	C₂×C₅₃	1	1	yes	characteristic, complemented
769	#2475	C₂×C₅₃	1	1	yes	characteristic, complemented
770	#2470	C₂×C₅₃	1	1	yes	characteristic, complemented
771	#2468	C₂×C₅₃	1	1	yes	characteristic, complemented
772	#2465	C₂×C₅₃	1	1	yes	characteristic, complemented
773	#2462	C₂×C₅₃	1	1	yes	characteristic, complemented
774	#2457	C₂×C₅₃	1	1	yes	characteristic, complemented
775	#2450	C₂×C₅₃	1	1	yes	characteristic, complemented
776	#2444	C₂×C₅₃	1	1	yes	characteristic, complemented
777	#2438	C₂×C₅₃	1	1	yes	characteristic, complemented
778	#2430	C₂×C₅₃	1	1	yes	characteristic
779	#2425	C₂×C₅₃	1	1	yes	characteristic, complemented
780	#2419	C₂×C₅₃	1	1	yes	characteristic, complemented
781	#2413	C₂×C₅₃	1	1	yes	characteristic, complemented
782	#2406	C₂×C₅₃	1	1	yes	characteristic, complemented
783	#2325	C₂×C₅₃	1	1	yes	characteristic, complemented
784	#2322	C₂×C₅₃	1	1	yes	characteristic, complemented
785	#2318	C₂×C₅₃	1	1	yes	characteristic, complemented
786	C₄×#123	C₂×C₅₃	1	1	yes	characteristic, complemented
787	C₂×#387	C₂×C₅₃	1	1	yes	characteristic, complemented
788	C₂×C₅₃	—	2	4	no	—
789	C₂×C₅₃	—	4	2	no	—
790	C₂×C₅₃	—	4	2	no	—
791	C₂×C₅₃	—	8	1	no	—
792	C₂×C₅₃	C₂×#525	1	1	yes	characteristic
793	C₂×C₅₃	#3455	1	1	yes	characteristic
794	C₂×C₅₃	#3461	1	1	yes	characteristic
795	C₂×C₅₃	#3485	1	1	yes	characteristic
796	C₂×C₅₃	#3489	1	1	yes	characteristic
797	C₂×C₅₃	#3515	1	1	yes	characteristic
798	C₂×C₅₃	#3521	1	1	yes	characteristic
799	C₂²×#41	C₂²×C₅₃	1	1	yes	characteristic
800	#539	—	2	8	no	—
801	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic
802	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic
803	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic
804	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic
805	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
806	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
807	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
808	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
809	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
810	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
811	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic
812	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic
813	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic
814	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
815	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
816	C₄×#41	—	2	8	no	—
817	C₂×C₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic
818	C₂×C₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic
819	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
820	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
821	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
822	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
823	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
824	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
825	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
826	C₂×#117	C₂²×C₅₃	1	1	yes	characteristic
827	C₂×#117	C₂²×C₅₃	1	1	yes	characteristic
828	C₂×#117	C₂²×C₅₃	1	1	yes	characteristic
829	C₂²×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
830	C₂²×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
831	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
832	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
833	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
834	#400	C₂²×C₅₃	1	1	yes	characteristic
835	#400	C₂²×C₅₃	1	1	yes	characteristic
836	#400	C₂²×C₅₃	1	1	yes	characteristic
837	#400	C₂²×C₅₃	1	1	yes	characteristic
838	#398	C₂²×C₅₃	1	1	yes	characteristic
839	#398	C₂²×C₅₃	1	1	yes	characteristic
840	#398	C₂²×C₅₃	1	1	yes	characteristic
841	#398	C₂²×C₅₃	1	1	yes	characteristic
842	#398	C₂²×C₅₃	1	1	yes	characteristic
843	#398	C₂²×C₅₃	1	1	yes	characteristic
844	#398	C₂²×C₅₃	1	1	yes	characteristic
845	#397	C₂²×C₅₃	1	1	yes	characteristic
846	#397	C₂²×C₅₃	1	1	yes	characteristic
847	#397	C₂²×C₅₃	1	1	yes	characteristic
848	#397	C₂²×C₅₃	1	1	yes	characteristic
849	#397	C₂²×C₅₃	1	1	yes	characteristic
850	#396	C₂²×C₅₃	1	1	yes	characteristic
851	#396	C₂²×C₅₃	1	1	yes	characteristic
852	#396	C₂²×C₅₃	1	1	yes	characteristic
853	#396	C₂²×C₅₃	1	1	yes	characteristic
854	#395	C₂²×C₅₃	1	1	yes	characteristic
855	#395	C₂²×C₅₃	1	1	yes	characteristic
856	#395	C₂²×C₅₃	1	1	yes	characteristic
857	#395	C₂²×C₅₃	1	1	yes	characteristic
858	#394	C₂²×C₅₃	1	1	yes	characteristic
859	#394	C₂²×C₅₃	1	1	yes	characteristic
860	#394	C₂²×C₅₃	1	1	yes	characteristic
861	#394	C₂²×C₅₃	1	1	yes	characteristic
862	#394	C₂²×C₅₃	1	1	yes	characteristic
863	#393	C₂²×C₅₃	1	1	yes	characteristic
864	#393	C₂²×C₅₃	1	1	yes	characteristic
865	#392	C₂²×C₅₃	1	1	yes	characteristic
866	#391	C₂²×C₅₃	1	1	yes	characteristic
867	#391	C₂²×C₅₃	1	1	yes	characteristic
868	#389	C₂²×C₅₃	1	1	yes	characteristic
869	#389	C₂²×C₅₃	1	1	yes	characteristic
870	#389	C₂²×C₅₃	1	1	yes	characteristic
871	#389	C₂²×C₅₃	1	1	yes	characteristic
872	#389	C₂²×C₅₃	1	1	yes	characteristic
873	#389	C₂²×C₅₃	1	1	yes	characteristic
874	#388	C₂²×C₅₃	1	1	yes	characteristic
875	#388	C₂²×C₅₃	1	1	yes	characteristic
876	#388	C₂²×C₅₃	1	1	yes	characteristic
877	#388	C₂²×C₅₃	1	1	yes	characteristic
878	#388	C₂²×C₅₃	1	1	yes	characteristic
879	#388	C₂²×C₅₃	1	1	yes	characteristic
880	#388	C₂²×C₅₃	1	1	yes	characteristic
881	#388	C₂²×C₅₃	1	1	yes	characteristic
882	#388	C₂²×C₅₃	1	1	yes	characteristic
883	#388	C₂²×C₅₃	1	1	yes	characteristic
884	#388	C₂²×C₅₃	1	1	yes	characteristic
885	#388	C₂²×C₅₃	1	1	yes	characteristic
886	#387	C₂²×C₅₃	1	1	yes	characteristic
887	#387	C₂²×C₅₃	1	1	yes	characteristic
888	#387	C₂²×C₅₃	1	1	yes	characteristic
889	#387	C₂²×C₅₃	1	1	yes	characteristic
890	#387	C₂²×C₅₃	1	1	yes	characteristic
891	#387	C₂²×C₅₃	1	1	yes	characteristic
892	#387	C₂²×C₅₃	1	1	yes	characteristic
893	#387	C₂²×C₅₃	1	1	yes	characteristic
894	#387	C₂²×C₅₃	1	1	yes	characteristic
895	#387	C₂²×C₅₃	1	1	yes	characteristic
896	#387	C₂²×C₅₃	1	1	yes	characteristic
897	#387	C₂²×C₅₃	1	1	yes	characteristic
898	#387	C₂²×C₅₃	1	1	yes	characteristic
899	#387	C₂²×C₅₃	1	1	yes	characteristic
900	#387	C₂²×C₅₃	1	1	yes	characteristic
901	#387	C₂²×C₅₃	1	1	yes	characteristic
902	#387	C₂²×C₅₃	1	1	yes	characteristic
903	#387	C₂²×C₅₃	1	1	yes	characteristic
904	#387	C₂²×C₅₃	1	1	yes	characteristic
905	#387	C₂²×C₅₃	1	1	yes	characteristic
906	#387	C₂²×C₅₃	1	1	yes	characteristic
907	#387	C₂²×C₅₃	1	1	yes	characteristic
908	#386	C₂²×C₅₃	1	1	yes	characteristic
909	#386	C₂²×C₅₃	1	1	yes	characteristic
910	#386	C₂²×C₅₃	1	1	yes	characteristic
911	#386	C₂²×C₅₃	1	1	yes	characteristic
912	#386	C₂²×C₅₃	1	1	yes	characteristic
913	#386	C₂²×C₅₃	1	1	yes	characteristic
914	#386	C₂²×C₅₃	1	1	yes	characteristic
915	#386	C₂²×C₅₃	1	1	yes	characteristic
916	#386	C₂²×C₅₃	1	1	yes	characteristic
917	#386	C₂²×C₅₃	1	1	yes	characteristic
918	#386	C₂²×C₅₃	1	1	yes	characteristic
919	#386	C₂²×C₅₃	1	1	yes	characteristic
920	#385	C₂²×C₅₃	1	1	yes	characteristic
921	#385	C₂²×C₅₃	1	1	yes	characteristic
922	#385	C₂²×C₅₃	1	1	yes	characteristic
923	#385	C₂²×C₅₃	1	1	yes	characteristic
924	#385	C₂²×C₅₃	1	1	yes	characteristic
925	#385	C₂²×C₅₃	1	1	yes	characteristic
926	#385	C₂²×C₅₃	1	1	yes	characteristic
927	#385	C₂²×C₅₃	1	1	yes	characteristic
928	#385	C₂²×C₅₃	1	1	yes	characteristic
929	#385	C₂²×C₅₃	1	1	yes	characteristic
930	#385	C₂²×C₅₃	1	1	yes	characteristic
931	#385	C₂²×C₅₃	1	1	yes	characteristic
932	#385	C₂²×C₅₃	1	1	yes	characteristic
933	#385	C₂²×C₅₃	1	1	yes	characteristic
934	#385	C₂²×C₅₃	1	1	yes	characteristic
935	#385	C₂²×C₅₃	1	1	yes	characteristic
936	#383	C₂²×C₅₃	1	1	yes	characteristic
937	#382	C₂²×C₅₃	1	1	yes	characteristic
938	#381	C₂²×C₅₃	1	1	yes	characteristic
939	#381	C₂²×C₅₃	1	1	yes	characteristic
940	#381	C₂²×C₅₃	1	1	yes	characteristic
941	#381	C₂²×C₅₃	1	1	yes	characteristic
942	#381	C₂²×C₅₃	1	1	yes	characteristic
943	#380	C₂²×C₅₃	1	1	yes	characteristic
944	#380	C₂²×C₅₃	1	1	yes	characteristic
945	#380	C₂²×C₅₃	1	1	yes	characteristic
946	#380	C₂²×C₅₃	1	1	yes	characteristic
947	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
948	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
949	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
950	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
951	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
952	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
953	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
954	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
955	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
956	C₅₃	#35096	1	1	yes	characteristic, direct product factor, Sylow
957	C₂×#41	—	2	4	no	—
958	C₂×#41	—	2	4	no	—
959	C₂×#41	—	2	4	no	—
960	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
961	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
962	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
963	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
964	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
965	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
966	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
967	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
968	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
969	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
970	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
971	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
972	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
973	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
974	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
975	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
976	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
977	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
978	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
979	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
980	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
981	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
982	#126	—	2	4	no	—
983	#126	—	2	4	no	—
984	#125	—	2	4	no	—
985	#125	—	2	4	no	—
986	#123	—	2	4	no	—
987	#123	—	2	4	no	—
988	#123	—	2	4	no	—
989	#123	—	2	4	no	—
990	#123	—	2	4	no	—
991	#123	—	2	4	no	—
992	C₂²⋊Q₈	—	2	4	no	—
993	C₂²⋊Q₈	—	2	4	no	—
994	C₂²⋊Q₈	—	2	4	no	—
995	#121	—	2	4	no	—
996	#121	—	2	4	no	—
997	C₄×Q₈	—	2	4	no	—
998	C₄×Q₈	—	2	4	no	—
999	C₄×D₄	—	2	4	no	—
1000	C₄×D₄	—	2	4	no	—
1001	C₄×D₄	—	2	4	no	—
1002	C₄×D₄	—	2	4	no	—
1003	C₄×D₄	—	2	4	no	—
1004	C₄×D₄	—	2	4	no	—
1005	C₄×D₄	D₄×C₅₃	1	8	yes	complemented
1006	#117	—	2	4	no	—
1007	#117	—	2	4	no	—
1008	#117	—	2	4	no	—
1009	C₂×C₄⋊C₄	—	2	4	no	—
1010	C₂×C₄⋊C₄	—	2	4	no	—
1011	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
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×C₄²	—	2	4	no	—
1084	C₂×C₄²	—	2	4	no	—
1085	C₂×C₄²	—	2	4	no	—
1086	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1087	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1088	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1089	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1090	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1091	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1092	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1093	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1094	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1095	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1096	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1097	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1098	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1099	#95	C₂³×C₅₃	1	1	yes	characteristic
1100	#95	C₂³×C₅₃	1	1	yes	characteristic
1101	#95	C₂³×C₅₃	1	1	yes	characteristic
1102	#95	C₂³×C₅₃	1	1	yes	characteristic
1103	#95	C₂³×C₅₃	1	1	yes	characteristic
1104	#95	C₂³×C₅₃	1	1	yes	characteristic
1105	#95	C₂³×C₅₃	1	1	yes	characteristic
1106	#95	C₂³×C₅₃	1	1	yes	characteristic
1107	#95	C₂³×C₅₃	1	1	yes	characteristic
1108	#95	C₂³×C₅₃	1	1	yes	characteristic
1109	#95	C₂³×C₅₃	1	1	yes	characteristic
1110	#95	C₂³×C₅₃	1	1	yes	characteristic
1111	#95	C₂³×C₅₃	1	1	yes	characteristic
1112	#95	C₂³×C₅₃	1	1	yes	characteristic
1113	#95	C₂³×C₅₃	1	1	yes	characteristic
1114	#95	C₂³×C₅₃	1	1	yes	characteristic
1115	#95	C₂³×C₅₃	1	1	yes	characteristic
1116	#95	C₂³×C₅₃	1	1	yes	characteristic
1117	#95	C₂³×C₅₃	1	1	yes	characteristic
1118	#95	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	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1148	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1149	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1150	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1151	#41	—	2	32	no	—
1152	C₂×Q₈	—	2	2	no	—
1153	C₂×Q₈	—	2	2	no	—
1154	C₂×Q₈	—	2	2	no	—
1155	C₂×Q₈	—	2	2	no	—
1156	C₂×Q₈	—	4	1	no	—
1157	C₂×Q₈	—	4	1	no	—
1158	C₂×D₄	—	2	2	no	—
1159	C₂×D₄	—	2	2	no	—
1160	C₂×D₄	—	2	2	no	—
1161	C₂×D₄	—	2	2	no	—
1162	C₂×D₄	—	2	2	no	—
1163	C₂×D₄	—	2	2	no	—
1164	C₂×D₄	—	2	2	no	—
1165	C₂×D₄	—	2	2	no	—
1166	C₂×D₄	—	2	2	no	—
1167	C₂×D₄	—	2	2	no	—
1168	C₂×D₄	—	2	2	no	—
1169	C₂×D₄	—	2	2	no	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	—	4	1	no	—
1172	C₂×D₄	—	4	1	no	—
1173	C₂×D₄	—	4	1	no	—
1174	C₂×D₄	C₂×D₄×C₅₃	1	4	yes	—
1175	C₂×D₄	#41×C₅₃	1	4	yes	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	2	2	no	—
1183	C₂²×C₄	—	2	2	no	—
1184	C₂²×C₄	—	2	2	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	2	no	—
1187	C₂²×C₄	—	2	2	no	—
1188	C₂²×C₄	—	2	2	no	—
1189	C₂²×C₄	—	2	2	no	—
1190	C₂²×C₄	—	2	2	no	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	2	2	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	2	2	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	4	1	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	4	1	no	—
1211	C₂²×C₄	—	4	1	no	—
1212	C₂²×C₄	—	4	1	no	—
1213	C₂²×C₄	—	4	1	no	—
1214	C₂²×C₄	—	4	1	no	—
1215	C₂²×C₄	C₂×D₄×C₅₃	1	4	yes	—
1216	C₂²×C₄	C₂×D₄×C₅₃	1	4	yes	—
1217	C₂²×C₄	#41×C₅₃	1	4	yes	—
1218	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1224	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1225	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1226	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1227	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1228	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1229	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1230	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1234	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	2	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	2	2	no	—
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	—	2	2	no	—
1256	C₄⋊C₄	—	2	2	no	—
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	2	2	no	—
1266	C₄⋊C₄	—	2	2	no	—
1267	C₄⋊C₄	—	2	2	no	—
1268	C₄⋊C₄	—	2	2	no	—
1269	C₄⋊C₄	—	2	2	no	—
1270	C₄⋊C₄	—	2	2	no	—
1271	C₄⋊C₄	—	2	2	no	—
1272	C₄⋊C₄	—	2	2	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	C₂×D₄×C₅₃	1	4	yes	—
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	—	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	—	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	C₂×D₄×C₅₃	1	4	yes	—
1316	C₂²⋊C₄	C₂×D₄×C₅₃	1	4	yes	—
1317	C₄²	—	2	2	no	—
1318	C₄²	—	2	2	no	—
1319	C₄²	—	2	2	no	—
1320	C₄²	—	2	2	no	—
1321	C₄²	—	2	2	no	—
1322	C₄²	—	2	2	no	—
1323	C₄²	—	2	2	no	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	2	2	no	—
1326	C₄²	—	2	2	no	—
1327	C₄²	—	4	1	no	—
1328	C₄²	—	4	1	no	—
1329	C₄²	C₂×D₄×C₅₃	1	4	yes	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	C₂²×D₄×C₅₃	1	2	yes	—
1354	C₂³	C₂²×D₄×C₅₃	1	2	yes	—
1355	C₂³	C₂×#41×C₅₃	1	2	yes	—
1356	C₂³	C₂×#41×C₅₃	1	2	yes	—
1357	C₂³	C₂×#41×C₅₃	1	2	yes	—
1358	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1359	Q₈	—	2	8	no	—
1360	Q₈	—	8	2	no	—
1361	D₄	—	2	8	no	—
1362	D₄	—	2	8	no	—
1363	D₄	—	2	8	no	—
1364	D₄	—	4	4	no	—
1365	D₄	—	8	2	no	—
1366	D₄	—	8	2	no	—
1367	C₂×C₄	—	2	8	no	—
1368	C₂×C₄	—	2	8	no	—
1369	C₂×C₄	—	2	8	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	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	—	4	4	no	—
1443	C₂×C₄	—	4	4	no	—
1444	C₂×C₄	—	4	4	no	—
1445	C₂×C₄	—	4	4	no	—
1446	C₂×C₄	—	4	4	no	—
1447	C₂×C₄	—	4	4	no	—
1448	C₂×C₄	—	4	4	no	—
1449	C₂×C₄	—	4	4	no	—
1450	C₂×C₄	—	8	2	no	—
1451	C₂×C₄	—	8	2	no	—
1452	C₂×C₄	—	8	2	no	—
1453	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1454	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1455	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1456	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1457	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1458	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1459	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1460	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1461	C₂×C₄	2₋¹⁺⁴×C₅₃	1	2	yes	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	2	2	no	—
1471	C₂²	—	2	2	no	—
1472	C₂²	—	2	2	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	4	1	no	—
1482	C₂²	—	4	1	no	—
1483	C₂²	—	4	1	no	—
1484	C₂²	—	4	1	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	4	1	no	—
1489	C₂²	C₅₃×#525	1	4	yes	—
1490	C₂²	C₂³×D₄×C₅₃	1	1	yes	characteristic
1491	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1492	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1493	C₂²	C₂×2₋¹⁺⁴×C₅₃	1	1	yes	characteristic
1494	C₂²	C₅₃×#585	1	1	yes	characteristic
1495	C₂²	C₅₃×#585	1	1	yes	characteristic
1496	C₂²	C₅₃×#585	1	1	yes	characteristic
1497	C₄	—	2	2	no	—
1498	C₄	—	2	2	no	—
1499	C₄	—	2	2	no	—
1500	C₄	—	2	2	no	—
1501	C₄	—	2	2	no	—
1502	C₄	—	2	2	no	—
1503	C₄	—	2	2	no	—
1504	C₄	—	2	2	no	—
1505	C₄	—	2	2	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	4	1	no	—
1516	C₄	—	4	1	no	—
1517	C₄	—	4	1	no	—
1518	C₄	—	4	1	no	—
1519	C₄	—	4	1	no	—
1520	C₄	—	4	1	no	—
1521	C₄	—	4	1	no	—
1522	C₄	—	4	1	no	—
1523	C₄	—	4	1	no	—
1524	C₂	—	2	4	no	—
1525	C₂	—	4	2	no	—
1526	C₂	—	4	2	no	—
1527	C₂	—	8	1	no	—
1528	C₂	C₂×C₅₃×#525	1	1	yes	characteristic
1529	C₂	C₅₃×#3455	1	1	yes	characteristic
1530	C₂	C₅₃×#3461	1	1	yes	characteristic
1531	C₂	C₅₃×#3485	1	1	yes	characteristic
1532	C₂	C₅₃×#3489	1	1	yes	characteristic
1533	C₂	C₅₃×#3515	1	1	yes	characteristic
1534	C₂	C₅₃×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₃
prime radical	C₅₃×#2430	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. C₂×C₅₃×#539	C₂	semidirect
2. C₂×C₄×#41×C₅₃	C₂	semidirect
3. C₅₃×#2855	C₂	semidirect
4. C₅₃×#2853	C₂	semidirect
5. C₅₃×#2852	C₂	semidirect
6. C₅₃×#2851	C₂	semidirect
7. C₅₃×#2638	C₂	semidirect
8. C₅₃×#2637	C₂	semidirect
9. C₅₃×#2634	C₂	semidirect
10. C₅₃×#2630	C₂	semidirect
11. C₅₃×#2478	C₂	semidirect
12. C₅₃×#2477	C₂	semidirect
13. C₅₃×#2475	C₂	semidirect
14. C₅₃×#2470	C₂	semidirect
15. C₅₃×#2468	C₂	semidirect
16. C₅₃×#2465	C₂	semidirect
17. C₅₃×#2462	C₂	semidirect
18. C₅₃×#2457	C₂	semidirect
19. C₅₃×#2450	C₂	semidirect
20. C₅₃×#2444	C₂	semidirect
21. C₅₃×#2438	C₂	semidirect
23. C₅₃×#2425	C₂	semidirect
24. C₅₃×#2419	C₂	semidirect
25. C₅₃×#2413	C₂	semidirect
26. C₅₃×#2406	C₂	semidirect
27. C₅₃×#2325	C₂	semidirect
28. C₅₃×#2322	C₂	semidirect
29. C₅₃×#2318	C₂	semidirect
30. C₄×#123×C₅₃	C₂	semidirect
31. C₂×C₅₃×#387	C₂	semidirect
237. C₄×D₄×C₅₃	D₄	semidirect
694. #35096	C₅₃	direct (N × H)
757. C₂×#539	C₂×C₅₃	semidirect
758. C₂×C₄×#41	C₂×C₅₃	semidirect
759. #2855	C₂×C₅₃	semidirect
760. #2853	C₂×C₅₃	semidirect
761. #2852	C₂×C₅₃	semidirect
762. #2851	C₂×C₅₃	semidirect
763. #2638	C₂×C₅₃	semidirect
764. #2637	C₂×C₅₃	semidirect
765. #2634	C₂×C₅₃	semidirect
766. #2630	C₂×C₅₃	semidirect
767. #2478	C₂×C₅₃	semidirect
768. #2477	C₂×C₅₃	semidirect
769. #2475	C₂×C₅₃	semidirect
770. #2470	C₂×C₅₃	semidirect
771. #2468	C₂×C₅₃	semidirect
772. #2465	C₂×C₅₃	semidirect
773. #2462	C₂×C₅₃	semidirect
774. #2457	C₂×C₅₃	semidirect
775. #2450	C₂×C₅₃	semidirect
776. #2444	C₂×C₅₃	semidirect
777. #2438	C₂×C₅₃	semidirect
779. #2425	C₂×C₅₃	semidirect
780. #2419	C₂×C₅₃	semidirect
781. #2413	C₂×C₅₃	semidirect
782. #2406	C₂×C₅₃	semidirect
783. #2325	C₂×C₅₃	semidirect
784. #2322	C₂×C₅₃	semidirect
785. #2318	C₂×C₅₃	semidirect
786. C₄×#123	C₂×C₅₃	semidirect
787. C₂×#387	C₂×C₅₃	semidirect
956. C₅₃	#35096	direct (N × H)
1005. C₄×D₄	D₄×C₅₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅₃×#539	2
C₂×C₄×#41×C₅₃	2
C₅₃×#2855	2
C₅₃×#2853	2
C₅₃×#2852	2
C₅₃×#2851	2
C₅₃×#2638	2
C₅₃×#2637	2
C₅₃×#2634	2
C₅₃×#2630	2
C₅₃×#2478	2
C₅₃×#2477	2
C₅₃×#2475	2
C₅₃×#2470	2
C₅₃×#2468	2
C₅₃×#2465	2
C₅₃×#2462	2
C₅₃×#2457	2
C₅₃×#2450	2
C₅₃×#2444	2
C₅₃×#2438	2
C₅₃×#2430	2
C₅₃×#2425	2
C₅₃×#2419	2
C₅₃×#2413	2
C₅₃×#2406	2
C₅₃×#2325	2
C₅₃×#2322	2
C₅₃×#2318	2
C₄×#123×C₅₃	2
C₂×C₅₃×#387	2
#35096	53

Subgroups — C53×#35096 #27242608

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#35096 #27242608