Subgroups — C₅₃×#34325 #27241837

Order 13568.

2372 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₃×#553	C₂	1	1	yes	maximal, characteristic
2	C₅₃×#2374	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2371	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2353	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2353	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2353	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2345	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2343	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#126×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#123×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#121×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2298	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₅₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×D₄×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅₃×#553	C₄	1	16	yes	complemented
33	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic
34	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic
35	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic
36	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
37	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
38	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
39	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
40	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
41	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×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	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
54	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
55	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
56	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
57	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
58	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
59	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
60	C₅₃×#390	C₂²	1	1	yes	characteristic
61	C₅₃×#390	C₂²	1	1	yes	characteristic
62	C₅₃×#389	C₂²	1	1	yes	characteristic
63	C₅₃×#389	C₂²	1	1	yes	characteristic
64	C₅₃×#389	C₂²	1	1	yes	characteristic
65	C₅₃×#389	C₂²	1	1	yes	characteristic
66	C₅₃×#388	C₂²	1	1	yes	characteristic
67	C₅₃×#388	C₂²	1	1	yes	characteristic
68	C₅₃×#388	C₂²	1	1	yes	characteristic
69	C₅₃×#388	C₂²	1	1	yes	characteristic
70	C₅₃×#388	C₂²	1	1	yes	characteristic
71	C₅₃×#388	C₂²	1	1	yes	characteristic
72	C₅₃×#388	C₂²	1	1	yes	characteristic
73	C₅₃×#388	C₂²	1	1	yes	characteristic
74	C₅₃×#388	C₂²	1	1	yes	characteristic
75	C₅₃×#388	C₂²	1	1	yes	characteristic
76	C₅₃×#388	C₂²	1	1	yes	characteristic
77	C₅₃×#388	C₂²	1	1	yes	characteristic
78	C₅₃×#388	C₂²	1	1	yes	characteristic
79	C₅₃×#388	C₂²	1	1	yes	characteristic
80	C₅₃×#388	C₂²	1	1	yes	characteristic
81	C₅₃×#388	C₂²	1	1	yes	characteristic
82	C₅₃×#388	C₂²	1	1	yes	characteristic
83	C₅₃×#388	C₂²	1	1	yes	characteristic
84	C₅₃×#387	C₂²	1	1	yes	characteristic
85	C₅₃×#387	C₂²	1	1	yes	characteristic
86	C₅₃×#387	C₂²	1	1	yes	characteristic
87	C₅₃×#387	C₂²	1	1	yes	characteristic
88	C₅₃×#387	C₂²	1	1	yes	characteristic
89	C₅₃×#387	C₂²	1	1	yes	characteristic
90	C₅₃×#387	C₂²	1	1	yes	characteristic
91	C₅₃×#387	C₂²	1	1	yes	characteristic
92	C₅₃×#387	C₂²	1	1	yes	characteristic
93	C₅₃×#387	C₂²	1	1	yes	characteristic
94	C₅₃×#387	C₂²	1	1	yes	characteristic
95	C₅₃×#387	C₂²	1	1	yes	characteristic
96	C₅₃×#387	C₂²	1	1	yes	characteristic
97	C₅₃×#387	C₂²	1	1	yes	characteristic
98	C₅₃×#387	C₂²	1	1	yes	characteristic
99	C₅₃×#387	C₂²	1	1	yes	characteristic
100	C₅₃×#387	C₂²	1	1	yes	characteristic
101	C₅₃×#387	C₂²	1	1	yes	characteristic
102	C₅₃×#387	C₂²	1	1	yes	characteristic
103	C₅₃×#387	C₂²	1	1	yes	characteristic
104	C₅₃×#387	C₂²	1	1	yes	characteristic
105	C₅₃×#387	C₂²	1	1	yes	characteristic
106	C₅₃×#387	C₂²	1	1	yes	characteristic
107	C₅₃×#387	C₂²	1	1	yes	characteristic
108	C₅₃×#387	C₂²	1	1	yes	characteristic
109	C₅₃×#387	C₂²	1	1	yes	characteristic
110	C₅₃×#386	C₂²	1	1	yes	characteristic
111	C₅₃×#386	C₂²	1	1	yes	characteristic
112	C₅₃×#386	C₂²	1	1	yes	characteristic
113	C₅₃×#386	C₂²	1	1	yes	characteristic
114	C₅₃×#386	C₂²	1	1	yes	characteristic
115	C₅₃×#386	C₂²	1	1	yes	characteristic
116	C₅₃×#386	C₂²	1	1	yes	characteristic
117	C₅₃×#386	C₂²	1	1	yes	characteristic
118	C₅₃×#386	C₂²	1	1	yes	characteristic
119	C₅₃×#386	C₂²	1	1	yes	characteristic
120	C₅₃×#386	C₂²	1	1	yes	characteristic
121	C₅₃×#386	C₂²	1	1	yes	characteristic
122	C₅₃×#386	C₂²	1	1	yes	characteristic
123	C₅₃×#386	C₂²	1	1	yes	characteristic
124	C₅₃×#385	C₂²	1	1	yes	characteristic
125	C₅₃×#385	C₂²	1	1	yes	characteristic
126	C₅₃×#385	C₂²	1	1	yes	characteristic
127	C₅₃×#385	C₂²	1	1	yes	characteristic
128	C₅₃×#385	C₂²	1	1	yes	characteristic
129	C₅₃×#385	C₂²	1	1	yes	characteristic
130	C₅₃×#383	C₂²	1	1	yes	characteristic
131	C₅₃×#383	C₂²	1	1	yes	characteristic
132	C₅₃×#382	C₂²	1	1	yes	characteristic
133	C₅₃×#381	C₂²	1	1	yes	characteristic
134	C₅₃×#381	C₂²	1	1	yes	characteristic
135	C₅₃×#380	C₂²	1	1	yes	characteristic
136	C₅₃×#380	C₂²	1	1	yes	characteristic
137	C₅₃×#380	C₂²	1	1	yes	characteristic
138	C₅₃×#380	C₂²	1	1	yes	characteristic
139	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
140	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
141	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
142	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
143	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
144	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
145	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
146	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
147	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
148	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
149	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
153	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
154	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
155	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
156	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
157	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
158	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
172	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
173	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
174	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
177	C₅₃×#376	C₂²	1	1	yes	characteristic
178	C₅₃×#376	C₂²	1	1	yes	characteristic
179	C₅₃×#376	C₂²	1	1	yes	characteristic
180	C₅₃×#376	C₂²	1	1	yes	characteristic
181	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
182	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
183	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
184	C₂×#95×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	C₄³×C₅₃	C₂²	1	1	yes	characteristic
188	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×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	#126×C₅₃	C₂×C₄	1	8	yes	complemented
211	#126×C₅₃	C₂×C₄	1	8	yes	complemented
212	#125×C₅₃	C₂×C₄	1	8	yes	complemented
213	#123×C₅₃	C₂×C₄	1	8	yes	complemented
214	#123×C₅₃	C₂×C₄	1	8	yes	complemented
215	#121×C₅₃	C₂×C₄	1	8	yes	complemented
216	#121×C₅₃	C₂×C₄	1	8	yes	complemented
217	#121×C₅₃	C₂×C₄	1	8	yes	complemented
218	#121×C₅₃	C₂×C₄	1	8	yes	complemented
219	C₄×D₄×C₅₃	—	2	4	no	—
220	C₄×D₄×C₅₃	—	2	4	no	—
221	C₄×D₄×C₅₃	—	2	4	no	—
222	C₄×D₄×C₅₃	—	2	4	no	—
223	C₄×D₄×C₅₃	—	2	4	no	—
224	C₄×D₄×C₅₃	—	2	4	no	—
225	C₄×D₄×C₅₃	—	4	2	no	—
226	C₄×D₄×C₅₃	—	4	2	no	—
227	C₄×D₄×C₅₃	C₂×C₄	1	8	yes	complemented
228	C₄×D₄×C₅₃	C₂×C₄	1	8	yes	complemented
229	C₄×D₄×C₅₃	C₂×C₄	1	8	yes	complemented
230	C₄×D₄×C₅₃	C₂×C₄	1	8	yes	complemented
231	#117×C₅₃	—	4	2	no	—
232	#117×C₅₃	C₂×C₄	1	8	yes	complemented
233	C₂×C₄⋊C₄×C₅₃	—	4	2	no	—
234	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	8	yes	complemented
235	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
251	C₂×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×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₅₃	—	4	2	no	—
294	C₂×C₄²×C₅₃	—	4	2	no	—
295	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
319	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	#95×C₅₃	C₂³	1	1	yes	characteristic
323	#95×C₅₃	C₂³	1	1	yes	characteristic
324	#95×C₅₃	C₂³	1	1	yes	characteristic
325	#95×C₅₃	C₂³	1	1	yes	characteristic
326	#95×C₅₃	C₂³	1	1	yes	characteristic
327	#95×C₅₃	C₂³	1	1	yes	characteristic
328	#95×C₅₃	C₂³	1	1	yes	characteristic
329	#95×C₅₃	C₂³	1	1	yes	characteristic
330	#95×C₅₃	C₂³	1	1	yes	characteristic
331	#95×C₅₃	C₂³	1	1	yes	characteristic
332	#95×C₅₃	C₂³	1	1	yes	characteristic
333	#95×C₅₃	C₂³	1	1	yes	characteristic
334	#95×C₅₃	C₂³	1	1	yes	characteristic
335	#95×C₅₃	C₂³	1	1	yes	characteristic
336	#95×C₅₃	C₂³	1	1	yes	characteristic
337	#95×C₅₃	C₂³	1	1	yes	characteristic
338	#95×C₅₃	C₂³	1	1	yes	characteristic
339	#95×C₅₃	C₂³	1	1	yes	characteristic
340	#95×C₅₃	C₂³	1	1	yes	characteristic
341	#95×C₅₃	C₂³	1	1	yes	characteristic
342	#95×C₅₃	C₂³	1	1	yes	characteristic
343	#95×C₅₃	C₂³	1	1	yes	characteristic
344	#95×C₅₃	C₂³	1	1	yes	characteristic
345	#95×C₅₃	C₂³	1	1	yes	characteristic
346	#95×C₅₃	C₂³	1	1	yes	characteristic
347	#95×C₅₃	C₂³	1	1	yes	characteristic
348	#95×C₅₃	C₂³	1	1	yes	characteristic
349	#95×C₅₃	C₂³	1	1	yes	characteristic
350	#95×C₅₃	C₂³	1	1	yes	characteristic
351	#95×C₅₃	C₂³	1	1	yes	characteristic
352	#95×C₅₃	C₂³	1	1	yes	characteristic
353	#95×C₅₃	C₂³	1	1	yes	characteristic
354	#95×C₅₃	C₂³	1	1	yes	characteristic
355	#95×C₅₃	C₂³	1	1	yes	characteristic
356	#95×C₅₃	C₂³	1	1	yes	characteristic
357	#95×C₅₃	C₂³	1	1	yes	characteristic
358	#95×C₅₃	C₂³	1	1	yes	characteristic
359	#95×C₅₃	C₂³	1	1	yes	characteristic
360	#95×C₅₃	C₂³	1	1	yes	characteristic
361	#95×C₅₃	C₂³	1	1	yes	characteristic
362	#95×C₅₃	C₂³	1	1	yes	characteristic
363	#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	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
374	C₂×D₄×C₅₃	—	2	2	no	—
375	C₂×D₄×C₅₃	—	2	2	no	—
376	C₂×D₄×C₅₃	—	2	2	no	—
377	C₂×D₄×C₅₃	—	2	2	no	—
378	C₂×D₄×C₅₃	—	2	2	no	—
379	C₂×D₄×C₅₃	—	2	2	no	—
380	C₂×D₄×C₅₃	—	4	1	no	—
381	C₂×D₄×C₅₃	—	4	1	no	—
382	C₂×D₄×C₅₃	—	4	1	no	—
383	C₂×D₄×C₅₃	—	4	1	no	—
384	C₂×D₄×C₅₃	—	4	1	no	—
385	C₂×D₄×C₅₃	—	4	1	no	—
386	C₂×D₄×C₅₃	C₂²×C₄	1	4	yes	—
387	C₂×D₄×C₅₃	C₂²×C₄	1	4	yes	—
388	C₂×D₄×C₅₃	C₂²×C₄	1	4	yes	—
389	C₂×D₄×C₅₃	C₂²×C₄	1	4	yes	—
390	C₂×D₄×C₅₃	C₂²×C₄	1	4	yes	—
391	C₂×D₄×C₅₃	C₂²×C₄	1	4	yes	—
392	C₂²×C₄×C₅₃	—	2	2	no	—
393	C₂²×C₄×C₅₃	—	2	2	no	—
394	C₂²×C₄×C₅₃	—	2	2	no	—
395	C₂²×C₄×C₅₃	—	2	2	no	—
396	C₂²×C₄×C₅₃	—	2	2	no	—
397	C₂²×C₄×C₅₃	—	2	2	no	—
398	C₂²×C₄×C₅₃	—	2	2	no	—
399	C₂²×C₄×C₅₃	—	2	2	no	—
400	C₂²×C₄×C₅₃	—	2	2	no	—
401	C₂²×C₄×C₅₃	—	2	2	no	—
402	C₂²×C₄×C₅₃	—	2	2	no	—
403	C₂²×C₄×C₅₃	—	4	1	no	—
404	C₂²×C₄×C₅₃	—	4	1	no	—
405	C₂²×C₄×C₅₃	—	4	1	no	—
406	C₂²×C₄×C₅₃	—	4	1	no	—
407	C₂²×C₄×C₅₃	—	4	1	no	—
408	C₂²×C₄×C₅₃	—	4	1	no	—
409	C₂²×C₄×C₅₃	—	4	1	no	—
410	C₂²×C₄×C₅₃	—	4	1	no	—
411	C₂²×C₄×C₅₃	—	4	1	no	—
412	C₂²×C₄×C₅₃	—	4	1	no	—
413	C₂²×C₄×C₅₃	—	4	1	no	—
414	C₂²×C₄×C₅₃	—	4	1	no	—
415	C₂²×C₄×C₅₃	—	4	1	no	—
416	C₂²×C₄×C₅₃	—	4	1	no	—
417	C₂²×C₄×C₅₃	—	4	1	no	—
418	C₂²×C₄×C₅₃	—	4	1	no	—
419	C₂²×C₄×C₅₃	—	4	1	no	—
420	C₂²×C₄×C₅₃	—	4	1	no	—
421	C₂²×C₄×C₅₃	—	4	1	no	—
422	C₂²×C₄×C₅₃	—	4	1	no	—
423	C₂²×C₄×C₅₃	—	4	1	no	—
424	C₂²×C₄×C₅₃	—	4	1	no	—
425	C₂²×C₄×C₅₃	—	4	1	no	—
426	C₂²×C₄×C₅₃	—	4	1	no	—
427	C₂²×C₄×C₅₃	—	4	1	no	—
428	C₂²×C₄×C₅₃	—	4	1	no	—
429	C₂²×C₄×C₅₃	—	4	1	no	—
430	C₂²×C₄×C₅₃	—	4	1	no	—
431	C₂²×C₄×C₅₃	—	4	1	no	—
432	C₂²×C₄×C₅₃	—	4	1	no	—
433	C₂²×C₄×C₅₃	C₂²×C₄	1	4	yes	—
434	C₂²×C₄×C₅₃	C₂²×C₄	1	4	yes	—
435	C₂²×C₄×C₅₃	C₂²×C₄	1	4	yes	—
436	C₂²×C₄×C₅₃	C₂²×C₄	1	4	yes	—
437	C₂²×C₄×C₅₃	C₂²×C₄	1	4	yes	—
438	C₂²×C₄×C₅₃	C₂²×C₄	1	4	yes	—
439	C₂²×C₄×C₅₃	#41	1	4	yes	—
440	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
467	C₄⋊C₄×C₅₃	—	2	2	no	—
468	C₄⋊C₄×C₅₃	—	2	2	no	—
469	C₄⋊C₄×C₅₃	—	2	2	no	—
470	C₄⋊C₄×C₅₃	—	2	2	no	—
471	C₄⋊C₄×C₅₃	—	2	2	no	—
472	C₄⋊C₄×C₅₃	—	2	2	no	—
473	C₄⋊C₄×C₅₃	—	2	2	no	—
474	C₄⋊C₄×C₅₃	—	2	2	no	—
475	C₄⋊C₄×C₅₃	—	4	1	no	—
476	C₄⋊C₄×C₅₃	—	4	1	no	—
477	C₄⋊C₄×C₅₃	—	4	1	no	—
478	C₄⋊C₄×C₅₃	—	4	1	no	—
479	C₄⋊C₄×C₅₃	—	4	1	no	—
480	C₄⋊C₄×C₅₃	—	4	1	no	—
481	C₄⋊C₄×C₅₃	—	4	1	no	—
482	C₄⋊C₄×C₅₃	—	4	1	no	—
483	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
484	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
485	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
486	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
487	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
488	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
489	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
490	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
491	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
492	C₄⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
493	C₂²⋊C₄×C₅₃	—	2	2	no	—
494	C₂²⋊C₄×C₅₃	—	2	2	no	—
495	C₂²⋊C₄×C₅₃	—	2	2	no	—
496	C₂²⋊C₄×C₅₃	—	2	2	no	—
497	C₂²⋊C₄×C₅₃	—	2	2	no	—
498	C₂²⋊C₄×C₅₃	—	2	2	no	—
499	C₂²⋊C₄×C₅₃	—	2	2	no	—
500	C₂²⋊C₄×C₅₃	—	2	2	no	—
501	C₂²⋊C₄×C₅₃	—	2	2	no	—
502	C₂²⋊C₄×C₅₃	—	2	2	no	—
503	C₂²⋊C₄×C₅₃	—	2	2	no	—
504	C₂²⋊C₄×C₅₃	—	4	1	no	—
505	C₂²⋊C₄×C₅₃	—	4	1	no	—
506	C₂²⋊C₄×C₅₃	—	4	1	no	—
507	C₂²⋊C₄×C₅₃	—	4	1	no	—
508	C₂²⋊C₄×C₅₃	—	4	1	no	—
509	C₂²⋊C₄×C₅₃	—	4	1	no	—
510	C₂²⋊C₄×C₅₃	—	4	1	no	—
511	C₂²⋊C₄×C₅₃	—	4	1	no	—
512	C₂²⋊C₄×C₅₃	—	4	1	no	—
513	C₂²⋊C₄×C₅₃	—	4	1	no	—
514	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
515	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
516	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
517	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
518	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
519	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
520	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
521	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
522	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
523	C₂²⋊C₄×C₅₃	C₂²×C₄	1	4	yes	—
524	C₂²⋊C₄×C₅₃	#41	1	4	yes	—
525	C₄²×C₅₃	—	2	2	no	—
526	C₄²×C₅₃	—	2	2	no	—
527	C₄²×C₅₃	—	2	2	no	—
528	C₄²×C₅₃	—	2	2	no	—
529	C₄²×C₅₃	—	2	2	no	—
530	C₄²×C₅₃	—	2	2	no	—
531	C₄²×C₅₃	—	2	2	no	—
532	C₄²×C₅₃	—	2	2	no	—
533	C₄²×C₅₃	—	2	2	no	—
534	C₄²×C₅₃	—	4	1	no	—
535	C₄²×C₅₃	—	4	1	no	—
536	C₄²×C₅₃	—	4	1	no	—
537	C₄²×C₅₃	—	4	1	no	—
538	C₄²×C₅₃	—	4	1	no	—
539	C₄²×C₅₃	—	4	1	no	—
540	C₄²×C₅₃	—	4	1	no	—
541	C₄²×C₅₃	—	4	1	no	—
542	C₄²×C₅₃	—	4	1	no	—
543	C₄²×C₅₃	—	4	1	no	—
544	C₄²×C₅₃	—	4	1	no	—
545	C₄²×C₅₃	—	4	1	no	—
546	C₄²×C₅₃	—	4	1	no	—
547	C₄²×C₅₃	—	4	1	no	—
548	C₄²×C₅₃	—	4	1	no	—
549	C₄²×C₅₃	C₂²×C₄	1	4	yes	—
550	C₄²×C₅₃	C₂²×C₄	1	4	yes	—
551	C₄²×C₅₃	C₂²×C₄	1	4	yes	—
552	C₂³×C₅₃	—	2	1	no	—
553	C₂³×C₅₃	—	2	1	no	—
554	C₂³×C₅₃	—	2	1	no	—
555	C₂³×C₅₃	—	2	1	no	—
556	C₂³×C₅₃	—	2	1	no	—
557	C₂³×C₅₃	—	2	1	no	—
558	C₂³×C₅₃	—	2	1	no	—
559	C₂³×C₅₃	—	2	1	no	—
560	C₂³×C₅₃	—	2	1	no	—
561	C₂³×C₅₃	—	2	1	no	—
562	C₂³×C₅₃	—	2	1	no	—
563	C₂³×C₅₃	—	2	1	no	—
564	C₂³×C₅₃	—	2	1	no	—
565	C₂³×C₅₃	—	2	1	no	—
566	C₂³×C₅₃	—	2	1	no	—
567	C₂³×C₅₃	—	2	1	no	—
568	C₂³×C₅₃	—	2	1	no	—
569	C₂³×C₅₃	—	2	1	no	—
570	C₂³×C₅₃	—	2	1	no	—
571	C₂³×C₅₃	—	2	1	no	—
572	C₂³×C₅₃	—	2	1	no	—
573	C₂³×C₅₃	—	2	1	no	—
574	C₂³×C₅₃	C₂³×C₄	1	2	yes	—
575	C₂³×C₅₃	C₂³×C₄	1	2	yes	—
576	C₂³×C₅₃	C₂³×C₄	1	2	yes	—
577	C₂³×C₅₃	C₂³×C₄	1	2	yes	—
578	C₂³×C₅₃	C₂×#41	1	2	yes	—
579	C₂³×C₅₃	C₂×#41	1	2	yes	—
580	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
581	D₄×C₅₃	—	2	8	no	—
582	D₄×C₅₃	—	2	8	no	—
583	D₄×C₅₃	—	2	8	no	—
584	D₄×C₅₃	—	4	4	no	—
585	D₄×C₅₃	—	4	4	no	—
586	D₄×C₅₃	—	4	4	no	—
587	C₂×C₄×C₅₃	—	2	1	no	—
588	C₂×C₄×C₅₃	—	2	1	no	—
589	C₂×C₄×C₅₃	—	2	1	no	—
590	C₂×C₄×C₅₃	—	2	1	no	—
591	C₂×C₄×C₅₃	—	2	1	no	—
592	C₂×C₄×C₅₃	—	2	1	no	—
593	C₂×C₄×C₅₃	—	2	1	no	—
594	C₂×C₄×C₅₃	—	2	1	no	—
595	C₂×C₄×C₅₃	—	2	1	no	—
596	C₂×C₄×C₅₃	—	2	1	no	—
597	C₂×C₄×C₅₃	—	2	1	no	—
598	C₂×C₄×C₅₃	—	2	1	no	—
599	C₂×C₄×C₅₃	—	2	1	no	—
600	C₂×C₄×C₅₃	—	2	1	no	—
601	C₂×C₄×C₅₃	—	2	1	no	—
602	C₂×C₄×C₅₃	—	2	1	no	—
603	C₂×C₄×C₅₃	—	2	1	no	—
604	C₂×C₄×C₅₃	—	2	1	no	—
605	C₂×C₄×C₅₃	—	2	1	no	—
606	C₂×C₄×C₅₃	—	2	1	no	—
607	C₂×C₄×C₅₃	—	2	1	no	—
608	C₂×C₄×C₅₃	—	2	1	no	—
609	C₂×C₄×C₅₃	—	2	1	no	—
610	C₂×C₄×C₅₃	—	2	1	no	—
611	C₂×C₄×C₅₃	—	2	1	no	—
612	C₂×C₄×C₅₃	—	2	1	no	—
613	C₂×C₄×C₅₃	—	2	1	no	—
614	C₂×C₄×C₅₃	—	2	1	no	—
615	C₂×C₄×C₅₃	—	2	1	no	—
616	C₂×C₄×C₅₃	—	2	1	no	—
617	C₂×C₄×C₅₃	—	2	1	no	—
618	C₂×C₄×C₅₃	—	2	1	no	—
619	C₂×C₄×C₅₃	—	2	1	no	—
620	C₂×C₄×C₅₃	—	2	1	no	—
621	C₂×C₄×C₅₃	—	2	1	no	—
622	C₂×C₄×C₅₃	—	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	—	4	4	no	—
653	C₂×C₄×C₅₃	—	4	4	no	—
654	C₂×C₄×C₅₃	—	4	4	no	—
655	C₂×C₄×C₅₃	—	4	4	no	—
656	C₂×C₄×C₅₃	—	4	4	no	—
657	C₂×C₄×C₅₃	—	4	4	no	—
658	C₂×C₄×C₅₃	—	4	4	no	—
659	C₂×C₄×C₅₃	—	4	4	no	—
660	C₂×C₄×C₅₃	—	4	4	no	—
661	C₂×C₄×C₅₃	—	4	4	no	—
662	C₂×C₄×C₅₃	—	8	2	no	—
663	C₂×C₄×C₅₃	—	8	2	no	—
664	C₂×C₄×C₅₃	—	8	2	no	—
665	C₂×C₄×C₅₃	—	8	2	no	—
666	C₂×C₄×C₅₃	—	8	2	no	—
667	C₂×C₄×C₅₃	—	8	2	no	—
668	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
669	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
670	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
671	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
672	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
673	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
674	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
675	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
676	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
677	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
678	C₂×C₄×C₅₃	C₂³×C₄	1	2	yes	—
679	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
680	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
681	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
682	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
683	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
684	#34325	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
685	C₂²×C₅₃	—	2	2	no	—
686	C₂²×C₅₃	—	2	2	no	—
687	C₂²×C₅₃	—	2	2	no	—
688	C₂²×C₅₃	—	2	2	no	—
689	C₂²×C₅₃	—	2	2	no	—
690	C₂²×C₅₃	—	2	2	no	—
691	C₂²×C₅₃	—	2	2	no	—
692	C₂²×C₅₃	—	2	2	no	—
693	C₂²×C₅₃	—	2	2	no	—
694	C₂²×C₅₃	—	2	2	no	—
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	—	4	1	no	—
701	C₂²×C₅₃	—	4	1	no	—
702	C₂²×C₅₃	—	4	1	no	—
703	C₂²×C₅₃	—	4	1	no	—
704	C₂²×C₅₃	—	4	1	no	—
705	C₂²×C₅₃	—	4	1	no	—
706	C₂²×C₅₃	—	4	1	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	C₄×#41	1	4	yes	—
713	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
714	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
715	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
716	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
717	C₂²×C₅₃	#585	1	1	yes	characteristic
718	C₂²×C₅₃	#585	1	1	yes	characteristic
719	C₂²×C₅₃	#585	1	1	yes	characteristic
720	C₄×C₅₃	—	2	2	no	—
721	C₄×C₅₃	—	2	2	no	—
722	C₄×C₅₃	—	2	2	no	—
723	C₄×C₅₃	—	2	2	no	—
724	C₄×C₅₃	—	2	2	no	—
725	C₄×C₅₃	—	2	2	no	—
726	C₄×C₅₃	—	2	2	no	—
727	C₄×C₅₃	—	2	2	no	—
728	C₄×C₅₃	—	2	2	no	—
729	C₄×C₅₃	—	2	2	no	—
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	—	4	1	no	—
737	C₄×C₅₃	—	4	1	no	—
738	C₄×C₅₃	—	4	1	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	C₂×#553	C₂×C₅₃	1	1	yes	characteristic
748	#2374	C₂×C₅₃	1	1	yes	characteristic, complemented
749	#2373	C₂×C₅₃	1	1	yes	characteristic, complemented
750	#2373	C₂×C₅₃	1	1	yes	characteristic, complemented
751	#2371	C₂×C₅₃	1	1	yes	characteristic, complemented
752	#2364	C₂×C₅₃	1	1	yes	characteristic, complemented
753	#2364	C₂×C₅₃	1	1	yes	characteristic, complemented
754	#2364	C₂×C₅₃	1	1	yes	characteristic, complemented
755	#2361	C₂×C₅₃	1	1	yes	characteristic, complemented
756	#2359	C₂×C₅₃	1	1	yes	characteristic, complemented
757	#2353	C₂×C₅₃	1	1	yes	characteristic, complemented
758	#2353	C₂×C₅₃	1	1	yes	characteristic, complemented
759	#2353	C₂×C₅₃	1	1	yes	characteristic, complemented
760	#2352	C₂×C₅₃	1	1	yes	characteristic, complemented
761	#2345	C₂×C₅₃	1	1	yes	characteristic, complemented
762	#2343	C₂×C₅₃	1	1	yes	characteristic, complemented
763	#2336	C₂×C₅₃	1	1	yes	characteristic, complemented
764	#2335	C₂×C₅₃	1	1	yes	characteristic, complemented
765	#2334	C₂×C₅₃	1	1	yes	characteristic, complemented
766	#2333	C₂×C₅₃	1	1	yes	characteristic, complemented
767	#2325	C₂×C₅₃	1	1	yes	characteristic, complemented
768	#2325	C₂×C₅₃	1	1	yes	characteristic, complemented
769	C₄×#126	C₂×C₅₃	1	1	yes	characteristic, complemented
770	C₄×#123	C₂×C₅₃	1	1	yes	characteristic, complemented
771	C₄×#121	C₂×C₅₃	1	1	yes	characteristic, complemented
772	#2298	C₂×C₅₃	1	1	yes	characteristic, complemented
773	#2290	C₂×C₅₃	1	1	yes	characteristic, complemented
774	C₂×#387	C₂×C₅₃	1	1	yes	characteristic, complemented
775	#2275	C₂×C₅₃	1	1	yes	characteristic, complemented
776	#2275	C₂×C₅₃	1	1	yes	characteristic, complemented
777	C₄²×D₄	C₂×C₅₃	1	1	yes	characteristic, complemented
778	C₂×C₅₃	—	2	4	no	—
779	C₂×C₅₃	—	4	2	no	—
780	C₂×C₅₃	—	4	2	no	—
781	C₂×C₅₃	—	4	2	no	—
782	C₂×C₅₃	C₂×C₄×#41	1	1	yes	characteristic
783	C₂×C₅₃	#3428	1	1	yes	characteristic
784	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
785	C₂×C₅₃	#3505	1	1	yes	characteristic
786	C₂×C₅₃	#3512	1	1	yes	characteristic
787	C₂×C₅₃	#3513	1	1	yes	characteristic
788	C₂×C₅₃	#3521	1	1	yes	characteristic
789	#553	C₄×C₅₃	1	16	yes	complemented
790	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic
791	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic
792	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic
793	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
794	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
795	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
796	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
797	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
798	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
799	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
800	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
801	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
802	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
803	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
804	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
805	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
806	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
807	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
808	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
809	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
810	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
811	C₂×#117	C₂²×C₅₃	1	1	yes	characteristic
812	C₂×#117	C₂²×C₅₃	1	1	yes	characteristic
813	C₂²×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
814	C₂²×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
815	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
816	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
817	#390	C₂²×C₅₃	1	1	yes	characteristic
818	#390	C₂²×C₅₃	1	1	yes	characteristic
819	#389	C₂²×C₅₃	1	1	yes	characteristic
820	#389	C₂²×C₅₃	1	1	yes	characteristic
821	#389	C₂²×C₅₃	1	1	yes	characteristic
822	#389	C₂²×C₅₃	1	1	yes	characteristic
823	#388	C₂²×C₅₃	1	1	yes	characteristic
824	#388	C₂²×C₅₃	1	1	yes	characteristic
825	#388	C₂²×C₅₃	1	1	yes	characteristic
826	#388	C₂²×C₅₃	1	1	yes	characteristic
827	#388	C₂²×C₅₃	1	1	yes	characteristic
828	#388	C₂²×C₅₃	1	1	yes	characteristic
829	#388	C₂²×C₅₃	1	1	yes	characteristic
830	#388	C₂²×C₅₃	1	1	yes	characteristic
831	#388	C₂²×C₅₃	1	1	yes	characteristic
832	#388	C₂²×C₅₃	1	1	yes	characteristic
833	#388	C₂²×C₅₃	1	1	yes	characteristic
834	#388	C₂²×C₅₃	1	1	yes	characteristic
835	#388	C₂²×C₅₃	1	1	yes	characteristic
836	#388	C₂²×C₅₃	1	1	yes	characteristic
837	#388	C₂²×C₅₃	1	1	yes	characteristic
838	#388	C₂²×C₅₃	1	1	yes	characteristic
839	#388	C₂²×C₅₃	1	1	yes	characteristic
840	#388	C₂²×C₅₃	1	1	yes	characteristic
841	#387	C₂²×C₅₃	1	1	yes	characteristic
842	#387	C₂²×C₅₃	1	1	yes	characteristic
843	#387	C₂²×C₅₃	1	1	yes	characteristic
844	#387	C₂²×C₅₃	1	1	yes	characteristic
845	#387	C₂²×C₅₃	1	1	yes	characteristic
846	#387	C₂²×C₅₃	1	1	yes	characteristic
847	#387	C₂²×C₅₃	1	1	yes	characteristic
848	#387	C₂²×C₅₃	1	1	yes	characteristic
849	#387	C₂²×C₅₃	1	1	yes	characteristic
850	#387	C₂²×C₅₃	1	1	yes	characteristic
851	#387	C₂²×C₅₃	1	1	yes	characteristic
852	#387	C₂²×C₅₃	1	1	yes	characteristic
853	#387	C₂²×C₅₃	1	1	yes	characteristic
854	#387	C₂²×C₅₃	1	1	yes	characteristic
855	#387	C₂²×C₅₃	1	1	yes	characteristic
856	#387	C₂²×C₅₃	1	1	yes	characteristic
857	#387	C₂²×C₅₃	1	1	yes	characteristic
858	#387	C₂²×C₅₃	1	1	yes	characteristic
859	#387	C₂²×C₅₃	1	1	yes	characteristic
860	#387	C₂²×C₅₃	1	1	yes	characteristic
861	#387	C₂²×C₅₃	1	1	yes	characteristic
862	#387	C₂²×C₅₃	1	1	yes	characteristic
863	#387	C₂²×C₅₃	1	1	yes	characteristic
864	#387	C₂²×C₅₃	1	1	yes	characteristic
865	#387	C₂²×C₅₃	1	1	yes	characteristic
866	#387	C₂²×C₅₃	1	1	yes	characteristic
867	#386	C₂²×C₅₃	1	1	yes	characteristic
868	#386	C₂²×C₅₃	1	1	yes	characteristic
869	#386	C₂²×C₅₃	1	1	yes	characteristic
870	#386	C₂²×C₅₃	1	1	yes	characteristic
871	#386	C₂²×C₅₃	1	1	yes	characteristic
872	#386	C₂²×C₅₃	1	1	yes	characteristic
873	#386	C₂²×C₅₃	1	1	yes	characteristic
874	#386	C₂²×C₅₃	1	1	yes	characteristic
875	#386	C₂²×C₅₃	1	1	yes	characteristic
876	#386	C₂²×C₅₃	1	1	yes	characteristic
877	#386	C₂²×C₅₃	1	1	yes	characteristic
878	#386	C₂²×C₅₃	1	1	yes	characteristic
879	#386	C₂²×C₅₃	1	1	yes	characteristic
880	#386	C₂²×C₅₃	1	1	yes	characteristic
881	#385	C₂²×C₅₃	1	1	yes	characteristic
882	#385	C₂²×C₅₃	1	1	yes	characteristic
883	#385	C₂²×C₅₃	1	1	yes	characteristic
884	#385	C₂²×C₅₃	1	1	yes	characteristic
885	#385	C₂²×C₅₃	1	1	yes	characteristic
886	#385	C₂²×C₅₃	1	1	yes	characteristic
887	#383	C₂²×C₅₃	1	1	yes	characteristic
888	#383	C₂²×C₅₃	1	1	yes	characteristic
889	#382	C₂²×C₅₃	1	1	yes	characteristic
890	#381	C₂²×C₅₃	1	1	yes	characteristic
891	#381	C₂²×C₅₃	1	1	yes	characteristic
892	#380	C₂²×C₅₃	1	1	yes	characteristic
893	#380	C₂²×C₅₃	1	1	yes	characteristic
894	#380	C₂²×C₅₃	1	1	yes	characteristic
895	#380	C₂²×C₅₃	1	1	yes	characteristic
896	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
897	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
898	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
899	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
900	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
901	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
902	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
903	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
904	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
905	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
906	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
907	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
908	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
909	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
910	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
911	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
912	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
913	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
914	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
915	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
916	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
917	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
918	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
919	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
920	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
921	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
922	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
923	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
924	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
925	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
926	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
927	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
928	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
929	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
930	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
931	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
932	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
933	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
934	#376	C₂²×C₅₃	1	1	yes	characteristic
935	#376	C₂²×C₅₃	1	1	yes	characteristic
936	#376	C₂²×C₅₃	1	1	yes	characteristic
937	#376	C₂²×C₅₃	1	1	yes	characteristic
938	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
939	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
940	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
941	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
942	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
943	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
944	C₄³	C₂²×C₅₃	1	1	yes	characteristic
945	C₅₃	#34325	1	1	yes	characteristic, direct product factor, Sylow
946	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
947	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
948	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
949	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
950	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
951	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
952	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
953	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
954	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
955	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
956	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
957	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
958	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
959	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
960	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
961	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
962	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
963	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
964	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
965	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
966	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
967	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
968	#126	C₂×C₄×C₅₃	1	8	yes	complemented
969	#126	C₂×C₄×C₅₃	1	8	yes	complemented
970	#125	C₂×C₄×C₅₃	1	8	yes	complemented
971	#123	C₂×C₄×C₅₃	1	8	yes	complemented
972	#123	C₂×C₄×C₅₃	1	8	yes	complemented
973	#121	C₂×C₄×C₅₃	1	8	yes	complemented
974	#121	C₂×C₄×C₅₃	1	8	yes	complemented
975	#121	C₂×C₄×C₅₃	1	8	yes	complemented
976	#121	C₂×C₄×C₅₃	1	8	yes	complemented
977	C₄×D₄	—	2	4	no	—
978	C₄×D₄	—	2	4	no	—
979	C₄×D₄	—	2	4	no	—
980	C₄×D₄	—	2	4	no	—
981	C₄×D₄	—	2	4	no	—
982	C₄×D₄	—	2	4	no	—
983	C₄×D₄	—	4	2	no	—
984	C₄×D₄	—	4	2	no	—
985	C₄×D₄	C₂×C₄×C₅₃	1	8	yes	complemented
986	C₄×D₄	C₂×C₄×C₅₃	1	8	yes	complemented
987	C₄×D₄	C₂×C₄×C₅₃	1	8	yes	complemented
988	C₄×D₄	C₂×C₄×C₅₃	1	8	yes	complemented
989	#117	—	4	2	no	—
990	#117	C₂×C₄×C₅₃	1	8	yes	complemented
991	C₂×C₄⋊C₄	—	4	2	no	—
992	C₂×C₄⋊C₄	C₂×C₄×C₅₃	1	8	yes	complemented
993	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1048	C₂×C₂²⋊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×C₄²	—	4	2	no	—
1052	C₂×C₄²	—	4	2	no	—
1053	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1054	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1055	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1056	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1057	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1058	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1059	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1060	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1061	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1063	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1064	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1065	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1066	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1067	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1068	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1069	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1070	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1071	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1072	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1073	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1074	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1075	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1076	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1077	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1078	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1079	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1080	#95	C₂³×C₅₃	1	1	yes	characteristic
1081	#95	C₂³×C₅₃	1	1	yes	characteristic
1082	#95	C₂³×C₅₃	1	1	yes	characteristic
1083	#95	C₂³×C₅₃	1	1	yes	characteristic
1084	#95	C₂³×C₅₃	1	1	yes	characteristic
1085	#95	C₂³×C₅₃	1	1	yes	characteristic
1086	#95	C₂³×C₅₃	1	1	yes	characteristic
1087	#95	C₂³×C₅₃	1	1	yes	characteristic
1088	#95	C₂³×C₅₃	1	1	yes	characteristic
1089	#95	C₂³×C₅₃	1	1	yes	characteristic
1090	#95	C₂³×C₅₃	1	1	yes	characteristic
1091	#95	C₂³×C₅₃	1	1	yes	characteristic
1092	#95	C₂³×C₅₃	1	1	yes	characteristic
1093	#95	C₂³×C₅₃	1	1	yes	characteristic
1094	#95	C₂³×C₅₃	1	1	yes	characteristic
1095	#95	C₂³×C₅₃	1	1	yes	characteristic
1096	#95	C₂³×C₅₃	1	1	yes	characteristic
1097	#95	C₂³×C₅₃	1	1	yes	characteristic
1098	#95	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	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1129	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1130	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1131	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1132	C₂×D₄	—	2	2	no	—
1133	C₂×D₄	—	2	2	no	—
1134	C₂×D₄	—	2	2	no	—
1135	C₂×D₄	—	2	2	no	—
1136	C₂×D₄	—	2	2	no	—
1137	C₂×D₄	—	2	2	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	1	no	—
1141	C₂×D₄	—	4	1	no	—
1142	C₂×D₄	—	4	1	no	—
1143	C₂×D₄	—	4	1	no	—
1144	C₂×D₄	C₂²×C₄×C₅₃	1	4	yes	—
1145	C₂×D₄	C₂²×C₄×C₅₃	1	4	yes	—
1146	C₂×D₄	C₂²×C₄×C₅₃	1	4	yes	—
1147	C₂×D₄	C₂²×C₄×C₅₃	1	4	yes	—
1148	C₂×D₄	C₂²×C₄×C₅₃	1	4	yes	—
1149	C₂×D₄	C₂²×C₄×C₅₃	1	4	yes	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	2	2	no	—
1152	C₂²×C₄	—	2	2	no	—
1153	C₂²×C₄	—	2	2	no	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	2	no	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	2	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	2	no	—
1161	C₂²×C₄	—	4	1	no	—
1162	C₂²×C₄	—	4	1	no	—
1163	C₂²×C₄	—	4	1	no	—
1164	C₂²×C₄	—	4	1	no	—
1165	C₂²×C₄	—	4	1	no	—
1166	C₂²×C₄	—	4	1	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	4	1	no	—
1169	C₂²×C₄	—	4	1	no	—
1170	C₂²×C₄	—	4	1	no	—
1171	C₂²×C₄	—	4	1	no	—
1172	C₂²×C₄	—	4	1	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	4	1	no	—
1177	C₂²×C₄	—	4	1	no	—
1178	C₂²×C₄	—	4	1	no	—
1179	C₂²×C₄	—	4	1	no	—
1180	C₂²×C₄	—	4	1	no	—
1181	C₂²×C₄	—	4	1	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	4	1	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	4	1	no	—
1189	C₂²×C₄	—	4	1	no	—
1190	C₂²×C₄	—	4	1	no	—
1191	C₂²×C₄	C₂²×C₄×C₅₃	1	4	yes	—
1192	C₂²×C₄	C₂²×C₄×C₅₃	1	4	yes	—
1193	C₂²×C₄	C₂²×C₄×C₅₃	1	4	yes	—
1194	C₂²×C₄	C₂²×C₄×C₅₃	1	4	yes	—
1195	C₂²×C₄	C₂²×C₄×C₅₃	1	4	yes	—
1196	C₂²×C₄	C₂²×C₄×C₅₃	1	4	yes	—
1197	C₂²×C₄	#41×C₅₃	1	4	yes	—
1198	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1203	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1204	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1205	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1206	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1207	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1208	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1209	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1210	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	2	2	no	—
1229	C₄⋊C₄	—	2	2	no	—
1230	C₄⋊C₄	—	2	2	no	—
1231	C₄⋊C₄	—	2	2	no	—
1232	C₄⋊C₄	—	2	2	no	—
1233	C₄⋊C₄	—	4	1	no	—
1234	C₄⋊C₄	—	4	1	no	—
1235	C₄⋊C₄	—	4	1	no	—
1236	C₄⋊C₄	—	4	1	no	—
1237	C₄⋊C₄	—	4	1	no	—
1238	C₄⋊C₄	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	—	4	1	no	—
1241	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1242	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1243	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1244	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1245	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1246	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1247	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1248	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1249	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1250	C₄⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1273	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1274	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1275	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1276	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1277	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1278	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1279	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1280	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1281	C₂²⋊C₄	C₂²×C₄×C₅₃	1	4	yes	—
1282	C₂²⋊C₄	#41×C₅₃	1	4	yes	—
1283	C₄²	—	2	2	no	—
1284	C₄²	—	2	2	no	—
1285	C₄²	—	2	2	no	—
1286	C₄²	—	2	2	no	—
1287	C₄²	—	2	2	no	—
1288	C₄²	—	2	2	no	—
1289	C₄²	—	2	2	no	—
1290	C₄²	—	2	2	no	—
1291	C₄²	—	2	2	no	—
1292	C₄²	—	4	1	no	—
1293	C₄²	—	4	1	no	—
1294	C₄²	—	4	1	no	—
1295	C₄²	—	4	1	no	—
1296	C₄²	—	4	1	no	—
1297	C₄²	—	4	1	no	—
1298	C₄²	—	4	1	no	—
1299	C₄²	—	4	1	no	—
1300	C₄²	—	4	1	no	—
1301	C₄²	—	4	1	no	—
1302	C₄²	—	4	1	no	—
1303	C₄²	—	4	1	no	—
1304	C₄²	—	4	1	no	—
1305	C₄²	—	4	1	no	—
1306	C₄²	—	4	1	no	—
1307	C₄²	C₂²×C₄×C₅₃	1	4	yes	—
1308	C₄²	C₂²×C₄×C₅₃	1	4	yes	—
1309	C₄²	C₂²×C₄×C₅₃	1	4	yes	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	C₂³×C₄×C₅₃	1	2	yes	—
1333	C₂³	C₂³×C₄×C₅₃	1	2	yes	—
1334	C₂³	C₂³×C₄×C₅₃	1	2	yes	—
1335	C₂³	C₂³×C₄×C₅₃	1	2	yes	—
1336	C₂³	C₂×#41×C₅₃	1	2	yes	—
1337	C₂³	C₂×#41×C₅₃	1	2	yes	—
1338	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1339	D₄	—	2	8	no	—
1340	D₄	—	2	8	no	—
1341	D₄	—	2	8	no	—
1342	D₄	—	4	4	no	—
1343	D₄	—	4	4	no	—
1344	D₄	—	4	4	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	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	—	4	4	no	—
1411	C₂×C₄	—	4	4	no	—
1412	C₂×C₄	—	4	4	no	—
1413	C₂×C₄	—	4	4	no	—
1414	C₂×C₄	—	4	4	no	—
1415	C₂×C₄	—	4	4	no	—
1416	C₂×C₄	—	4	4	no	—
1417	C₂×C₄	—	4	4	no	—
1418	C₂×C₄	—	4	4	no	—
1419	C₂×C₄	—	4	4	no	—
1420	C₂×C₄	—	8	2	no	—
1421	C₂×C₄	—	8	2	no	—
1422	C₂×C₄	—	8	2	no	—
1423	C₂×C₄	—	8	2	no	—
1424	C₂×C₄	—	8	2	no	—
1425	C₂×C₄	—	8	2	no	—
1426	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1427	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1428	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1429	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1430	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1431	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1432	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1433	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1434	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1435	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1436	C₂×C₄	C₂³×C₄×C₅₃	1	2	yes	—
1437	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1438	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1439	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1440	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1441	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1442	C₂²	—	2	2	no	—
1443	C₂²	—	2	2	no	—
1444	C₂²	—	2	2	no	—
1445	C₂²	—	2	2	no	—
1446	C₂²	—	2	2	no	—
1447	C₂²	—	2	2	no	—
1448	C₂²	—	2	2	no	—
1449	C₂²	—	2	2	no	—
1450	C₂²	—	2	2	no	—
1451	C₂²	—	2	2	no	—
1452	C₂²	—	2	2	no	—
1453	C₂²	—	2	2	no	—
1454	C₂²	—	2	2	no	—
1455	C₂²	—	2	2	no	—
1456	C₂²	—	2	2	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	C₄×#41×C₅₃	1	4	yes	—
1470	C₂²	C₂⁴×C₄×C₅₃	1	1	yes	characteristic
1471	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1472	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1473	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1474	C₂²	C₅₃×#585	1	1	yes	characteristic
1475	C₂²	C₅₃×#585	1	1	yes	characteristic
1476	C₂²	C₅₃×#585	1	1	yes	characteristic
1477	C₄	—	2	2	no	—
1478	C₄	—	2	2	no	—
1479	C₄	—	2	2	no	—
1480	C₄	—	2	2	no	—
1481	C₄	—	2	2	no	—
1482	C₄	—	2	2	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	2	2	no	—
1485	C₄	—	2	2	no	—
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	2	2	no	—
1489	C₄	—	2	2	no	—
1490	C₄	—	2	2	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	2	no	—
1493	C₄	—	4	1	no	—
1494	C₄	—	4	1	no	—
1495	C₄	—	4	1	no	—
1496	C₄	—	4	1	no	—
1497	C₄	—	4	1	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₂	—	2	4	no	—
1505	C₂	—	4	2	no	—
1506	C₂	—	4	2	no	—
1507	C₂	—	4	2	no	—
1508	C₂	C₂×C₄×#41×C₅₃	1	1	yes	characteristic
1509	C₂	C₅₃×#3428	1	1	yes	characteristic
1510	C₂	C₄×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1511	C₂	C₅₃×#3505	1	1	yes	characteristic
1512	C₂	C₅₃×#3512	1	1	yes	characteristic
1513	C₂	C₅₃×#3513	1	1	yes	characteristic
1514	C₂	C₅₃×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₅₃
Frattini, cosocle	C₂³	C₂⁵×C₅₃
prime radical	C₂×C₅₃×#553	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₅₃×#2374	C₂	semidirect
3. C₅₃×#2373	C₂	semidirect
4. C₅₃×#2373	C₂	semidirect
5. C₅₃×#2371	C₂	semidirect
6. C₅₃×#2364	C₂	semidirect
7. C₅₃×#2364	C₂	semidirect
8. C₅₃×#2364	C₂	semidirect
9. C₅₃×#2361	C₂	semidirect
10. C₅₃×#2359	C₂	semidirect
11. C₅₃×#2353	C₂	semidirect
12. C₅₃×#2353	C₂	semidirect
13. C₅₃×#2353	C₂	semidirect
14. C₅₃×#2352	C₂	semidirect
15. C₅₃×#2345	C₂	semidirect
16. C₅₃×#2343	C₂	semidirect
17. C₅₃×#2336	C₂	semidirect
18. C₅₃×#2335	C₂	semidirect
19. C₅₃×#2334	C₂	semidirect
20. C₅₃×#2333	C₂	semidirect
21. C₅₃×#2325	C₂	semidirect
22. C₅₃×#2325	C₂	semidirect
23. C₄×#126×C₅₃	C₂	semidirect
24. C₄×#123×C₅₃	C₂	semidirect
25. C₄×#121×C₅₃	C₂	semidirect
26. C₅₃×#2298	C₂	semidirect
27. C₅₃×#2290	C₂	semidirect
28. C₂×C₅₃×#387	C₂	semidirect
29. C₅₃×#2275	C₂	semidirect
30. C₅₃×#2275	C₂	semidirect
31. C₄²×D₄×C₅₃	C₂	semidirect
32. C₅₃×#553	C₄	semidirect
210. #126×C₅₃	C₂×C₄	semidirect
211. #126×C₅₃	C₂×C₄	semidirect
212. #125×C₅₃	C₂×C₄	semidirect
213. #123×C₅₃	C₂×C₄	semidirect
214. #123×C₅₃	C₂×C₄	semidirect
215. #121×C₅₃	C₂×C₄	semidirect
216. #121×C₅₃	C₂×C₄	semidirect
217. #121×C₅₃	C₂×C₄	semidirect
218. #121×C₅₃	C₂×C₄	semidirect
227. C₄×D₄×C₅₃	C₂×C₄	semidirect
228. C₄×D₄×C₅₃	C₂×C₄	semidirect
229. C₄×D₄×C₅₃	C₂×C₄	semidirect
230. C₄×D₄×C₅₃	C₂×C₄	semidirect
232. #117×C₅₃	C₂×C₄	semidirect
234. C₂×C₄⋊C₄×C₅₃	C₂×C₄	semidirect
684. #34325	C₅₃	direct (N × H)
748. #2374	C₂×C₅₃	semidirect
749. #2373	C₂×C₅₃	semidirect
750. #2373	C₂×C₅₃	semidirect
751. #2371	C₂×C₅₃	semidirect
752. #2364	C₂×C₅₃	semidirect
753. #2364	C₂×C₅₃	semidirect
754. #2364	C₂×C₅₃	semidirect
755. #2361	C₂×C₅₃	semidirect
756. #2359	C₂×C₅₃	semidirect
757. #2353	C₂×C₅₃	semidirect
758. #2353	C₂×C₅₃	semidirect
759. #2353	C₂×C₅₃	semidirect
760. #2352	C₂×C₅₃	semidirect
761. #2345	C₂×C₅₃	semidirect
762. #2343	C₂×C₅₃	semidirect
763. #2336	C₂×C₅₃	semidirect
764. #2335	C₂×C₅₃	semidirect
765. #2334	C₂×C₅₃	semidirect
766. #2333	C₂×C₅₃	semidirect
767. #2325	C₂×C₅₃	semidirect
768. #2325	C₂×C₅₃	semidirect
769. C₄×#126	C₂×C₅₃	semidirect
770. C₄×#123	C₂×C₅₃	semidirect
771. C₄×#121	C₂×C₅₃	semidirect
772. #2298	C₂×C₅₃	semidirect
773. #2290	C₂×C₅₃	semidirect
774. C₂×#387	C₂×C₅₃	semidirect
775. #2275	C₂×C₅₃	semidirect
776. #2275	C₂×C₅₃	semidirect
777. C₄²×D₄	C₂×C₅₃	semidirect
789. #553	C₄×C₅₃	semidirect
945. C₅₃	#34325	direct (N × H)
968. #126	C₂×C₄×C₅₃	semidirect
969. #126	C₂×C₄×C₅₃	semidirect
970. #125	C₂×C₄×C₅₃	semidirect
971. #123	C₂×C₄×C₅₃	semidirect
972. #123	C₂×C₄×C₅₃	semidirect
973. #121	C₂×C₄×C₅₃	semidirect
974. #121	C₂×C₄×C₅₃	semidirect
975. #121	C₂×C₄×C₅₃	semidirect
976. #121	C₂×C₄×C₅₃	semidirect
985. C₄×D₄	C₂×C₄×C₅₃	semidirect
986. C₄×D₄	C₂×C₄×C₅₃	semidirect
987. C₄×D₄	C₂×C₄×C₅₃	semidirect
988. C₄×D₄	C₂×C₄×C₅₃	semidirect
990. #117	C₂×C₄×C₅₃	semidirect
992. C₂×C₄⋊C₄	C₂×C₄×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×#553	2
C₅₃×#2374	2
C₅₃×#2373	2
C₅₃×#2371	2
C₅₃×#2364	2
C₅₃×#2361	2
C₅₃×#2359	2
C₅₃×#2353	2
C₅₃×#2352	2
C₅₃×#2345	2
C₅₃×#2343	2
C₅₃×#2336	2
C₅₃×#2335	2
C₅₃×#2334	2
C₅₃×#2333	2
C₅₃×#2325	2
C₄×#126×C₅₃	2
C₄×#123×C₅₃	2
C₄×#121×C₅₃	2
C₅₃×#2298	2
C₅₃×#2290	2
C₂×C₅₃×#387	2
C₅₃×#2275	2
C₄²×D₄×C₅₃	2
#34325	53

Subgroups — C53×#34325 #27241837

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#34325 #27241837