Subgroups — C₅₃×#35053 #27242565

Order 13568.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#2852	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2849	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2847	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2665	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2661	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2653	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2648	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2578	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2576	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2574	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2572	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2559	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2557	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2555	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2554	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2510	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2438	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2430	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#2411	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#2404	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#2337	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#123×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#2297	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₂²⋊C₄×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic
33	C₂⁴×C₄×C₅₃	C₂²	1	1	yes	characteristic
34	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
36	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×#123×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×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
41	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
42	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
43	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
44	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
45	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
46	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
47	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
48	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
50	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
51	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
52	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
54	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
55	C₅₃×#401	C₂²	1	1	yes	characteristic, complemented
56	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
57	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
58	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
59	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
60	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
61	C₅₃×#397	C₂²	1	1	yes	characteristic
62	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
63	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
64	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
65	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
66	C₅₃×#396	C₂²	1	1	yes	characteristic
67	C₅₃×#396	C₂²	1	1	yes	characteristic
68	C₅₃×#396	C₂²	1	1	yes	characteristic
69	C₅₃×#395	C₂²	1	1	yes	characteristic, complemented
70	C₅₃×#395	C₂²	1	1	yes	characteristic, complemented
71	C₅₃×#394	C₂²	1	1	yes	characteristic
72	C₅₃×#394	C₂²	1	1	yes	characteristic
73	C₅₃×#394	C₂²	1	1	yes	characteristic
74	C₅₃×#394	C₂²	1	1	yes	characteristic
75	C₅₃×#394	C₂²	1	1	yes	characteristic
76	C₅₃×#394	C₂²	1	1	yes	characteristic
77	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
78	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
79	C₅₃×#393	C₂²	1	1	yes	characteristic
80	C₅₃×#393	C₂²	1	1	yes	characteristic
81	C₅₃×#393	C₂²	1	1	yes	characteristic
82	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
83	C₅₃×#392	C₂²	1	1	yes	characteristic
84	C₅₃×#392	C₂²	1	1	yes	characteristic
85	C₅₃×#392	C₂²	1	1	yes	characteristic
86	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
88	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
89	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
90	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
91	C₅₃×#390	C₂²	1	1	yes	characteristic
92	C₅₃×#390	C₂²	1	1	yes	characteristic
93	C₅₃×#390	C₂²	1	1	yes	characteristic
94	C₅₃×#390	C₂²	1	1	yes	characteristic
95	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
96	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
97	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
98	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
99	C₅₃×#388	C₂²	1	1	yes	characteristic
100	C₅₃×#388	C₂²	1	1	yes	characteristic
101	C₅₃×#388	C₂²	1	1	yes	characteristic
102	C₅₃×#388	C₂²	1	1	yes	characteristic
103	C₅₃×#388	C₂²	1	1	yes	characteristic
104	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
105	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
106	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
107	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
111	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
112	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
113	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
114	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
115	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
116	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
117	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
118	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
120	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
121	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
124	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
125	C₅₃×#386	C₂²	1	1	yes	characteristic
126	C₅₃×#386	C₂²	1	1	yes	characteristic
127	C₅₃×#386	C₂²	1	1	yes	characteristic
128	C₅₃×#386	C₂²	1	1	yes	characteristic
129	C₅₃×#386	C₂²	1	1	yes	characteristic
130	C₅₃×#386	C₂²	1	1	yes	characteristic
131	C₅₃×#386	C₂²	1	1	yes	characteristic
132	C₅₃×#386	C₂²	1	1	yes	characteristic
133	C₅₃×#386	C₂²	1	1	yes	characteristic
134	C₅₃×#386	C₂²	1	1	yes	characteristic
135	C₅₃×#386	C₂²	1	1	yes	characteristic
136	C₅₃×#386	C₂²	1	1	yes	characteristic
137	C₅₃×#386	C₂²	1	1	yes	characteristic
138	C₅₃×#386	C₂²	1	1	yes	characteristic
139	C₅₃×#386	C₂²	1	1	yes	characteristic
140	C₅₃×#386	C₂²	1	1	yes	characteristic
141	C₅₃×#386	C₂²	1	1	yes	characteristic
142	C₅₃×#386	C₂²	1	1	yes	characteristic
143	C₅₃×#386	C₂²	1	1	yes	characteristic
144	C₅₃×#386	C₂²	1	1	yes	characteristic
145	C₅₃×#386	C₂²	1	1	yes	characteristic
146	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
147	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
148	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
149	C₅₃×#385	C₂²	1	1	yes	characteristic
150	C₅₃×#385	C₂²	1	1	yes	characteristic
151	C₅₃×#385	C₂²	1	1	yes	characteristic
152	C₅₃×#385	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, complemented
156	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
157	C₅₃×#383	C₂²	1	1	yes	characteristic, complemented
158	C₅₃×#383	C₂²	1	1	yes	characteristic, complemented
159	C₅₃×#382	C₂²	1	1	yes	characteristic, complemented
160	C₅₃×#381	C₂²	1	1	yes	characteristic
161	C₅₃×#381	C₂²	1	1	yes	characteristic
162	C₅₃×#381	C₂²	1	1	yes	characteristic
163	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
164	C₅₃×#380	C₂²	1	1	yes	characteristic
165	C₅₃×#380	C₂²	1	1	yes	characteristic
166	C₅₃×#380	C₂²	1	1	yes	characteristic
167	C₅₃×#379	C₂²	1	1	yes	characteristic
168	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
169	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
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	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
185	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
186	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
187	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
188	C₂×#41×C₅₃	—	2	4	no	—
189	C₂×#41×C₅₃	—	4	2	no	—
190	C₂×#41×C₅₃	—	4	2	no	—
191	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
192	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₅₃	—	2	4	no	—
206	C₂³×C₄×C₅₃	—	4	2	no	—
207	C₂³×C₄×C₅₃	—	4	2	no	—
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	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
221	#126×C₅₃	—	4	2	no	—
222	#124×C₅₃	—	2	4	no	—
223	#124×C₅₃	—	4	2	no	—
224	#123×C₅₃	—	2	4	no	—
225	#123×C₅₃	—	2	4	no	—
226	#123×C₅₃	—	4	2	no	—
227	C₂²⋊Q₈×C₅₃	—	4	2	no	—
228	#121×C₅₃	—	2	4	no	—
229	#121×C₅₃	—	2	4	no	—
230	#121×C₅₃	—	4	2	no	—
231	#121×C₅₃	—	4	2	no	—
232	#121×C₅₃	—	4	2	no	—
233	#120×C₅₃	—	4	2	no	—
234	#120×C₅₃	—	4	2	no	—
235	#120×C₅₃	—	4	2	no	—
236	C₄×D₄×C₅₃	—	4	2	no	—
237	#117×C₅₃	—	4	2	no	—
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×C₂²⋊C₄×C₅₃	—	2	4	no	—
259	C₂×C₂²⋊C₄×C₅₃	—	2	4	no	—
260	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₅₃	—	4	2	no	—
311	C₂×C₄²×C₅₃	—	4	2	no	—
312	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
319	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	#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	C₂⁴×C₅₃	—	2	2	no	—
370	C₂⁴×C₅₃	—	2	2	no	—
371	C₂⁴×C₅₃	—	2	2	no	—
372	C₂⁴×C₅₃	—	2	2	no	—
373	C₂⁴×C₅₃	—	2	2	no	—
374	C₂⁴×C₅₃	—	4	1	no	—
375	C₂⁴×C₅₃	—	4	1	no	—
376	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
382	#41×C₅₃	—	4	16	no	—
383	C₂×Q₈×C₅₃	—	2	2	no	—
384	C₂×Q₈×C₅₃	—	2	2	no	—
385	C₂×Q₈×C₅₃	—	4	1	no	—
386	C₂×Q₈×C₅₃	—	4	1	no	—
387	C₂×Q₈×C₅₃	—	4	1	no	—
388	C₂×Q₈×C₅₃	—	4	1	no	—
389	C₂×D₄×C₅₃	—	2	2	no	—
390	C₂×D₄×C₅₃	—	2	2	no	—
391	C₂×D₄×C₅₃	—	2	2	no	—
392	C₂×D₄×C₅₃	—	2	2	no	—
393	C₂×D₄×C₅₃	—	2	2	no	—
394	C₂×D₄×C₅₃	—	2	2	no	—
395	C₂×D₄×C₅₃	—	2	2	no	—
396	C₂×D₄×C₅₃	—	2	2	no	—
397	C₂×D₄×C₅₃	—	2	2	no	—
398	C₂×D₄×C₅₃	—	2	2	no	—
399	C₂×D₄×C₅₃	—	2	2	no	—
400	C₂×D₄×C₅₃	—	2	2	no	—
401	C₂×D₄×C₅₃	—	2	2	no	—
402	C₂×D₄×C₅₃	—	2	2	no	—
403	C₂×D₄×C₅₃	—	2	2	no	—
404	C₂×D₄×C₅₃	—	2	2	no	—
405	C₂×D₄×C₅₃	—	2	2	no	—
406	C₂×D₄×C₅₃	—	2	2	no	—
407	C₂×D₄×C₅₃	—	4	1	no	—
408	C₂×D₄×C₅₃	—	4	1	no	—
409	C₂×D₄×C₅₃	—	4	1	no	—
410	C₂×D₄×C₅₃	—	4	1	no	—
411	C₂×D₄×C₅₃	—	4	1	no	—
412	C₂×D₄×C₅₃	—	4	1	no	—
413	C₂×D₄×C₅₃	—	4	1	no	—
414	C₂×D₄×C₅₃	—	4	1	no	—
415	C₂×D₄×C₅₃	—	4	1	no	—
416	C₂×D₄×C₅₃	—	4	1	no	—
417	C₂×D₄×C₅₃	—	4	1	no	—
418	C₂×D₄×C₅₃	—	4	1	no	—
419	C₂×D₄×C₅₃	—	4	1	no	—
420	C₂×D₄×C₅₃	—	4	1	no	—
421	C₂×D₄×C₅₃	—	4	1	no	—
422	C₂×D₄×C₅₃	—	4	1	no	—
423	C₂×D₄×C₅₃	—	4	1	no	—
424	C₂×D₄×C₅₃	—	4	1	no	—
425	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	—	2	2	no	—
431	C₂²×C₄×C₅₃	—	2	2	no	—
432	C₂²×C₄×C₅₃	—	2	2	no	—
433	C₂²×C₄×C₅₃	—	2	2	no	—
434	C₂²×C₄×C₅₃	—	2	2	no	—
435	C₂²×C₄×C₅₃	—	2	2	no	—
436	C₂²×C₄×C₅₃	—	2	2	no	—
437	C₂²×C₄×C₅₃	—	2	2	no	—
438	C₂²×C₄×C₅₃	—	2	2	no	—
439	C₂²×C₄×C₅₃	—	2	2	no	—
440	C₂²×C₄×C₅₃	—	2	2	no	—
441	C₂²×C₄×C₅₃	—	2	2	no	—
442	C₂²×C₄×C₅₃	—	2	2	no	—
443	C₂²×C₄×C₅₃	—	2	2	no	—
444	C₂²×C₄×C₅₃	—	2	2	no	—
445	C₂²×C₄×C₅₃	—	4	1	no	—
446	C₂²×C₄×C₅₃	—	4	1	no	—
447	C₂²×C₄×C₅₃	—	4	1	no	—
448	C₂²×C₄×C₅₃	—	4	1	no	—
449	C₂²×C₄×C₅₃	—	4	1	no	—
450	C₂²×C₄×C₅₃	—	4	1	no	—
451	C₂²×C₄×C₅₃	—	4	1	no	—
452	C₂²×C₄×C₅₃	—	4	1	no	—
453	C₂²×C₄×C₅₃	—	4	1	no	—
454	C₂²×C₄×C₅₃	—	4	1	no	—
455	C₂²×C₄×C₅₃	—	4	1	no	—
456	C₂²×C₄×C₅₃	—	4	1	no	—
457	C₂²×C₄×C₅₃	—	4	1	no	—
458	C₂²×C₄×C₅₃	—	4	1	no	—
459	C₂²×C₄×C₅₃	—	4	1	no	—
460	C₂²×C₄×C₅₃	—	4	1	no	—
461	C₂²×C₄×C₅₃	—	4	1	no	—
462	C₂²×C₄×C₅₃	—	4	16	no	—
463	C₂²×C₄×C₅₃	#41	1	4	yes	—
464	C₂²×C₄×C₅₃	#41	1	4	yes	complemented
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	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
490	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	—	4	1	no	—
498	C₄⋊C₄×C₅₃	—	4	1	no	—
499	C₄⋊C₄×C₅₃	—	4	1	no	—
500	C₄⋊C₄×C₅₃	—	4	1	no	—
501	C₄⋊C₄×C₅₃	—	4	1	no	—
502	C₄⋊C₄×C₅₃	—	4	1	no	—
503	C₄⋊C₄×C₅₃	—	4	1	no	—
504	C₄⋊C₄×C₅₃	—	4	1	no	—
505	C₄⋊C₄×C₅₃	—	4	1	no	—
506	C₄⋊C₄×C₅₃	—	4	1	no	—
507	C₄⋊C₄×C₅₃	—	4	1	no	—
508	C₄⋊C₄×C₅₃	—	4	1	no	—
509	C₄⋊C₄×C₅₃	—	4	1	no	—
510	C₂²⋊C₄×C₅₃	—	2	2	no	—
511	C₂²⋊C₄×C₅₃	—	2	2	no	—
512	C₂²⋊C₄×C₅₃	—	2	2	no	—
513	C₂²⋊C₄×C₅₃	—	2	2	no	—
514	C₂²⋊C₄×C₅₃	—	2	2	no	—
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	—	4	1	no	—
548	C₂²⋊C₄×C₅₃	—	4	1	no	—
549	C₂²⋊C₄×C₅₃	—	4	1	no	—
550	C₂²⋊C₄×C₅₃	—	4	1	no	—
551	C₂²⋊C₄×C₅₃	—	4	1	no	—
552	C₂²⋊C₄×C₅₃	—	4	1	no	—
553	C₂²⋊C₄×C₅₃	—	4	1	no	—
554	C₂²⋊C₄×C₅₃	—	4	1	no	—
555	C₂²⋊C₄×C₅₃	—	4	1	no	—
556	C₂²⋊C₄×C₅₃	—	4	1	no	—
557	C₂²⋊C₄×C₅₃	—	4	1	no	—
558	C₂²⋊C₄×C₅₃	—	4	1	no	—
559	C₂²⋊C₄×C₅₃	#41	1	4	yes	complemented
560	C₄²×C₅₃	—	2	2	no	—
561	C₄²×C₅₃	—	2	2	no	—
562	C₄²×C₅₃	—	2	2	no	—
563	C₄²×C₅₃	—	4	1	no	—
564	C₄²×C₅₃	—	4	1	no	—
565	C₄²×C₅₃	—	4	1	no	—
566	C₄²×C₅₃	—	4	1	no	—
567	C₄²×C₅₃	—	4	1	no	—
568	C₄²×C₅₃	—	4	1	no	—
569	C₄²×C₅₃	—	4	1	no	—
570	C₄²×C₅₃	—	4	1	no	—
571	C₄²×C₅₃	—	4	1	no	—
572	C₄²×C₅₃	—	4	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	8	no	—
578	C₂³×C₅₃	—	2	1	no	—
579	C₂³×C₅₃	—	2	1	no	—
580	C₂³×C₅₃	—	2	1	no	—
581	C₂³×C₅₃	—	2	1	no	—
582	C₂³×C₅₃	—	2	1	no	—
583	C₂³×C₅₃	—	2	1	no	—
584	C₂³×C₅₃	—	2	1	no	—
585	C₂³×C₅₃	—	2	1	no	—
586	C₂³×C₅₃	—	2	1	no	—
587	C₂³×C₅₃	—	2	1	no	—
588	C₂³×C₅₃	—	2	1	no	—
589	C₂³×C₅₃	—	2	1	no	—
590	C₂³×C₅₃	—	2	1	no	—
591	C₂³×C₅₃	—	2	1	no	—
592	C₂³×C₅₃	—	2	1	no	—
593	C₂³×C₅₃	—	2	1	no	—
594	C₂³×C₅₃	—	2	1	no	—
595	C₂³×C₅₃	—	2	1	no	—
596	C₂³×C₅₃	—	2	1	no	—
597	C₂³×C₅₃	—	2	1	no	—
598	C₂³×C₅₃	—	2	1	no	—
599	C₂³×C₅₃	—	2	1	no	—
600	C₂³×C₅₃	—	2	1	no	—
601	C₂³×C₅₃	—	2	1	no	—
602	C₂³×C₅₃	—	2	1	no	—
603	C₂³×C₅₃	—	2	1	no	—
604	C₂³×C₅₃	—	2	1	no	—
605	C₂³×C₅₃	—	2	1	no	—
606	C₂³×C₅₃	—	2	1	no	—
607	C₂³×C₅₃	—	2	1	no	—
608	C₂³×C₅₃	—	2	1	no	—
609	C₂³×C₅₃	—	2	1	no	—
610	C₂³×C₅₃	—	2	1	no	—
611	C₂³×C₅₃	—	4	4	no	—
612	C₂³×C₅₃	—	4	4	no	—
613	C₂³×C₅₃	—	4	4	no	—
614	C₂³×C₅₃	—	4	4	no	—
615	C₂³×C₅₃	—	4	4	no	—
616	C₂³×C₅₃	—	4	4	no	—
617	C₂³×C₅₃	C₂×#41	1	2	yes	—
618	C₂³×C₅₃	C₂×#41	1	2	yes	—
619	C₂³×C₅₃	C₂×#41	1	2	yes	—
620	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
621	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
622	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
623	Q₈×C₅₃	—	4	4	no	—
624	Q₈×C₅₃	—	8	2	no	—
625	D₄×C₅₃	—	4	4	no	—
626	D₄×C₅₃	—	4	4	no	—
627	D₄×C₅₃	—	4	4	no	—
628	D₄×C₅₃	—	4	4	no	—
629	D₄×C₅₃	—	8	2	no	—
630	D₄×C₅₃	—	8	2	no	—
631	D₄×C₅₃	—	8	2	no	—
632	D₄×C₅₃	—	8	2	no	—
633	D₄×C₅₃	—	8	2	no	—
634	D₄×C₅₃	—	8	2	no	—
635	D₄×C₅₃	—	8	2	no	—
636	D₄×C₅₃	—	8	2	no	—
637	C₂×C₄×C₅₃	—	2	8	no	—
638	C₂×C₄×C₅₃	—	2	8	no	—
639	C₂×C₄×C₅₃	—	2	1	no	—
640	C₂×C₄×C₅₃	—	2	1	no	—
641	C₂×C₄×C₅₃	—	2	1	no	—
642	C₂×C₄×C₅₃	—	2	1	no	—
643	C₂×C₄×C₅₃	—	2	1	no	—
644	C₂×C₄×C₅₃	—	2	1	no	—
645	C₂×C₄×C₅₃	—	2	1	no	—
646	C₂×C₄×C₅₃	—	2	1	no	—
647	C₂×C₄×C₅₃	—	2	1	no	—
648	C₂×C₄×C₅₃	—	2	1	no	—
649	C₂×C₄×C₅₃	—	2	1	no	—
650	C₂×C₄×C₅₃	—	2	1	no	—
651	C₂×C₄×C₅₃	—	2	1	no	—
652	C₂×C₄×C₅₃	—	2	1	no	—
653	C₂×C₄×C₅₃	—	2	1	no	—
654	C₂×C₄×C₅₃	—	2	1	no	—
655	C₂×C₄×C₅₃	—	2	1	no	—
656	C₂×C₄×C₅₃	—	2	1	no	—
657	C₂×C₄×C₅₃	—	2	1	no	—
658	C₂×C₄×C₅₃	—	2	1	no	—
659	C₂×C₄×C₅₃	—	2	1	no	—
660	C₂×C₄×C₅₃	—	2	1	no	—
661	C₂×C₄×C₅₃	—	2	1	no	—
662	C₂×C₄×C₅₃	—	2	1	no	—
663	C₂×C₄×C₅₃	—	2	1	no	—
664	C₂×C₄×C₅₃	—	2	1	no	—
665	C₂×C₄×C₅₃	—	2	1	no	—
666	C₂×C₄×C₅₃	—	2	1	no	—
667	C₂×C₄×C₅₃	—	2	1	no	—
668	C₂×C₄×C₅₃	—	2	1	no	—
669	C₂×C₄×C₅₃	—	2	1	no	—
670	C₂×C₄×C₅₃	—	2	1	no	—
671	C₂×C₄×C₅₃	—	2	1	no	—
672	C₂×C₄×C₅₃	—	2	1	no	—
673	C₂×C₄×C₅₃	—	2	1	no	—
674	C₂×C₄×C₅₃	—	2	1	no	—
675	C₂×C₄×C₅₃	—	2	1	no	—
676	C₂×C₄×C₅₃	—	2	1	no	—
677	C₂×C₄×C₅₃	—	2	1	no	—
678	C₂×C₄×C₅₃	—	2	1	no	—
679	C₂×C₄×C₅₃	—	2	1	no	—
680	C₂×C₄×C₅₃	—	2	1	no	—
681	C₂×C₄×C₅₃	—	2	1	no	—
682	C₂×C₄×C₅₃	—	2	1	no	—
683	C₂×C₄×C₅₃	—	2	1	no	—
684	C₂×C₄×C₅₃	—	2	1	no	—
685	C₂×C₄×C₅₃	—	2	1	no	—
686	C₂×C₄×C₅₃	—	2	1	no	—
687	C₂×C₄×C₅₃	—	2	1	no	—
688	C₂×C₄×C₅₃	—	2	1	no	—
689	C₂×C₄×C₅₃	—	2	1	no	—
690	C₂×C₄×C₅₃	—	2	1	no	—
691	C₂×C₄×C₅₃	—	2	1	no	—
692	C₂×C₄×C₅₃	—	2	1	no	—
693	C₂×C₄×C₅₃	—	2	1	no	—
694	C₂×C₄×C₅₃	—	2	1	no	—
695	C₂×C₄×C₅₃	—	2	1	no	—
696	C₂×C₄×C₅₃	—	2	1	no	—
697	C₂×C₄×C₅₃	—	2	1	no	—
698	C₂×C₄×C₅₃	—	2	1	no	—
699	C₂×C₄×C₅₃	—	2	1	no	—
700	C₂×C₄×C₅₃	—	2	1	no	—
701	C₂×C₄×C₅₃	—	2	1	no	—
702	C₂×C₄×C₅₃	—	2	1	no	—
703	C₂×C₄×C₅₃	—	2	1	no	—
704	C₂×C₄×C₅₃	—	2	1	no	—
705	C₂×C₄×C₅₃	—	2	1	no	—
706	C₂×C₄×C₅₃	—	2	1	no	—
707	C₂×C₄×C₅₃	—	4	4	no	—
708	C₂×C₄×C₅₃	—	4	4	no	—
709	C₂×C₄×C₅₃	—	4	4	no	—
710	C₂×C₄×C₅₃	—	4	4	no	—
711	C₂×C₄×C₅₃	—	4	4	no	—
712	C₂×C₄×C₅₃	—	4	4	no	—
713	C₂×C₄×C₅₃	—	4	4	no	—
714	C₂×C₄×C₅₃	—	4	4	no	—
715	C₂×C₄×C₅₃	—	4	4	no	—
716	C₂×C₄×C₅₃	—	4	4	no	—
717	C₂×C₄×C₅₃	—	8	2	no	—
718	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
719	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
720	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
721	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
722	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
723	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
724	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
725	#35053	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
726	C₂²×C₅₃	—	2	2	no	—
727	C₂²×C₅₃	—	2	2	no	—
728	C₂²×C₅₃	—	2	2	no	—
729	C₂²×C₅₃	—	2	2	no	—
730	C₂²×C₅₃	—	2	2	no	—
731	C₂²×C₅₃	—	2	2	no	—
732	C₂²×C₅₃	—	2	2	no	—
733	C₂²×C₅₃	—	2	2	no	—
734	C₂²×C₅₃	—	2	2	no	—
735	C₂²×C₅₃	—	2	2	no	—
736	C₂²×C₅₃	—	2	2	no	—
737	C₂²×C₅₃	—	2	2	no	—
738	C₂²×C₅₃	—	4	16	no	—
739	C₂²×C₅₃	—	4	1	no	—
740	C₂²×C₅₃	—	4	1	no	—
741	C₂²×C₅₃	—	4	1	no	—
742	C₂²×C₅₃	—	4	1	no	—
743	C₂²×C₅₃	—	4	1	no	—
744	C₂²×C₅₃	—	4	1	no	—
745	C₂²×C₅₃	—	4	1	no	—
746	C₂²×C₅₃	—	4	1	no	—
747	C₂²×C₅₃	—	4	1	no	—
748	C₂²×C₅₃	—	4	1	no	—
749	C₂²×C₅₃	—	4	1	no	—
750	C₂²×C₅₃	—	4	1	no	—
751	C₂²×C₅₃	—	4	1	no	—
752	C₂²×C₅₃	—	4	1	no	—
753	C₂²×C₅₃	—	4	1	no	—
754	C₂²×C₅₃	—	4	1	no	—
755	C₂²×C₅₃	—	4	1	no	—
756	C₂²×C₅₃	—	4	1	no	—
757	C₂²×C₅₃	—	4	1	no	—
758	C₂²×C₅₃	—	4	1	no	—
759	C₂²×C₅₃	—	4	1	no	—
760	C₂²×C₅₃	—	4	1	no	—
761	C₂²×C₅₃	—	4	1	no	—
762	C₂²×C₅₃	—	4	1	no	—
763	C₂²×C₅₃	—	4	1	no	—
764	C₂²×C₅₃	—	4	1	no	—
765	C₂²×C₅₃	—	4	1	no	—
766	C₂²×C₅₃	—	4	1	no	—
767	C₂²×C₅₃	—	4	1	no	—
768	C₂²×C₅₃	#538	1	4	yes	—
769	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
770	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
771	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
772	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
773	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
774	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
775	C₂²×C₅₃	#585	1	1	yes	characteristic
776	C₄×C₅₃	—	2	2	no	—
777	C₄×C₅₃	—	2	2	no	—
778	C₄×C₅₃	—	2	2	no	—
779	C₄×C₅₃	—	2	2	no	—
780	C₄×C₅₃	—	2	2	no	—
781	C₄×C₅₃	—	2	2	no	—
782	C₄×C₅₃	—	2	2	no	—
783	C₄×C₅₃	—	4	1	no	—
784	C₄×C₅₃	—	4	1	no	—
785	C₄×C₅₃	—	4	1	no	—
786	C₄×C₅₃	—	4	1	no	—
787	C₄×C₅₃	—	4	1	no	—
788	C₄×C₅₃	—	4	1	no	—
789	C₄×C₅₃	—	4	1	no	—
790	C₄×C₅₃	—	4	1	no	—
791	C₄×C₅₃	—	4	1	no	—
792	C₄×C₅₃	—	4	1	no	—
793	C₄×C₅₃	—	4	1	no	—
794	C₄×C₅₃	—	4	1	no	—
795	C₄×C₅₃	—	4	1	no	—
796	C₄×C₅₃	—	4	1	no	—
797	C₄×C₅₃	—	4	1	no	—
798	C₄×C₅₃	—	4	1	no	—
799	C₄×C₅₃	—	4	1	no	—
800	C₄×C₅₃	—	4	1	no	—
801	#2852	C₂×C₅₃	1	1	yes	characteristic, complemented
802	#2850	C₂×C₅₃	1	1	yes	characteristic, complemented
803	#2849	C₂×C₅₃	1	1	yes	characteristic, complemented
804	#2847	C₂×C₅₃	1	1	yes	characteristic, complemented
805	#2665	C₂×C₅₃	1	1	yes	characteristic, complemented
806	#2661	C₂×C₅₃	1	1	yes	characteristic, complemented
807	#2653	C₂×C₅₃	1	1	yes	characteristic, complemented
808	#2648	C₂×C₅₃	1	1	yes	characteristic, complemented
809	#2578	C₂×C₅₃	1	1	yes	characteristic, complemented
810	#2576	C₂×C₅₃	1	1	yes	characteristic, complemented
811	#2574	C₂×C₅₃	1	1	yes	characteristic, complemented
812	#2572	C₂×C₅₃	1	1	yes	characteristic, complemented
813	#2559	C₂×C₅₃	1	1	yes	characteristic, complemented
814	#2557	C₂×C₅₃	1	1	yes	characteristic, complemented
815	#2555	C₂×C₅₃	1	1	yes	characteristic, complemented
816	#2554	C₂×C₅₃	1	1	yes	characteristic, complemented
817	#2510	C₂×C₅₃	1	1	yes	characteristic, complemented
818	#2472	C₂×C₅₃	1	1	yes	characteristic, complemented
819	#2444	C₂×C₅₃	1	1	yes	characteristic, complemented
820	#2438	C₂×C₅₃	1	1	yes	characteristic, complemented
821	#2430	C₂×C₅₃	1	1	yes	characteristic, complemented
822	#2424	C₂×C₅₃	1	1	yes	characteristic, complemented
823	#2411	C₂×C₅₃	1	1	yes	characteristic, complemented
824	#2404	C₂×C₅₃	1	1	yes	characteristic, complemented
825	#2337	C₂×C₅₃	1	1	yes	characteristic, complemented
826	#2335	C₂×C₅₃	1	1	yes	characteristic, complemented
827	#2333	C₂×C₅₃	1	1	yes	characteristic, complemented
828	#2333	C₂×C₅₃	1	1	yes	characteristic, complemented
829	C₄×#123	C₂×C₅₃	1	1	yes	characteristic, complemented
830	#2297	C₂×C₅₃	1	1	yes	characteristic, complemented
831	C₂×C₄×C₂²⋊C₄	C₂×C₅₃	1	1	yes	characteristic, complemented
832	C₂×C₅₃	—	2	4	no	—
833	C₂×C₅₃	—	4	2	no	—
834	C₂×C₅₃	—	4	2	no	—
835	C₂×C₅₃	—	8	1	no	—
836	C₂×C₅₃	—	8	1	no	—
837	C₂×C₅₃	—	8	1	no	—
838	C₂×C₅₃	#3444	1	1	yes	characteristic
839	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
840	C₂×C₅₃	#3460	1	1	yes	characteristic
841	C₂×C₅₃	#3490	1	1	yes	characteristic
842	C₂×C₅₃	#3494	1	1	yes	characteristic
843	C₂×C₅₃	#3513	1	1	yes	characteristic
844	C₂×C₅₃	#3519	1	1	yes	characteristic
845	C₂²×#41	C₂²×C₅₃	1	1	yes	characteristic
846	C₂⁴×C₄	C₂²×C₅₃	1	1	yes	characteristic
847	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
848	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic
849	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic, complemented
850	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
851	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
852	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
853	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic
854	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
855	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
856	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
857	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
858	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
859	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
860	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
861	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
862	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
863	C₂×#117	C₂²×C₅₃	1	1	yes	characteristic
864	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
865	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
866	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
867	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
868	#401	C₂²×C₅₃	1	1	yes	characteristic, complemented
869	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
870	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
871	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
872	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
873	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
874	#397	C₂²×C₅₃	1	1	yes	characteristic
875	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
876	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
877	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
878	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
879	#396	C₂²×C₅₃	1	1	yes	characteristic
880	#396	C₂²×C₅₃	1	1	yes	characteristic
881	#396	C₂²×C₅₃	1	1	yes	characteristic
882	#395	C₂²×C₅₃	1	1	yes	characteristic, complemented
883	#395	C₂²×C₅₃	1	1	yes	characteristic, complemented
884	#394	C₂²×C₅₃	1	1	yes	characteristic
885	#394	C₂²×C₅₃	1	1	yes	characteristic
886	#394	C₂²×C₅₃	1	1	yes	characteristic
887	#394	C₂²×C₅₃	1	1	yes	characteristic
888	#394	C₂²×C₅₃	1	1	yes	characteristic
889	#394	C₂²×C₅₃	1	1	yes	characteristic
890	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
891	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
892	#393	C₂²×C₅₃	1	1	yes	characteristic
893	#393	C₂²×C₅₃	1	1	yes	characteristic
894	#393	C₂²×C₅₃	1	1	yes	characteristic
895	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
896	#392	C₂²×C₅₃	1	1	yes	characteristic
897	#392	C₂²×C₅₃	1	1	yes	characteristic
898	#392	C₂²×C₅₃	1	1	yes	characteristic
899	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
900	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
901	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
902	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
903	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
904	#390	C₂²×C₅₃	1	1	yes	characteristic
905	#390	C₂²×C₅₃	1	1	yes	characteristic
906	#390	C₂²×C₅₃	1	1	yes	characteristic
907	#390	C₂²×C₅₃	1	1	yes	characteristic
908	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
909	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
910	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
911	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
912	#388	C₂²×C₅₃	1	1	yes	characteristic
913	#388	C₂²×C₅₃	1	1	yes	characteristic
914	#388	C₂²×C₅₃	1	1	yes	characteristic
915	#388	C₂²×C₅₃	1	1	yes	characteristic
916	#388	C₂²×C₅₃	1	1	yes	characteristic
917	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
918	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
919	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
920	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
921	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
922	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
923	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
924	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
925	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
926	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
927	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
928	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
929	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
930	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
931	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
932	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
933	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
934	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
935	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
936	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
937	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
938	#386	C₂²×C₅₃	1	1	yes	characteristic
939	#386	C₂²×C₅₃	1	1	yes	characteristic
940	#386	C₂²×C₅₃	1	1	yes	characteristic
941	#386	C₂²×C₅₃	1	1	yes	characteristic
942	#386	C₂²×C₅₃	1	1	yes	characteristic
943	#386	C₂²×C₅₃	1	1	yes	characteristic
944	#386	C₂²×C₅₃	1	1	yes	characteristic
945	#386	C₂²×C₅₃	1	1	yes	characteristic
946	#386	C₂²×C₅₃	1	1	yes	characteristic
947	#386	C₂²×C₅₃	1	1	yes	characteristic
948	#386	C₂²×C₅₃	1	1	yes	characteristic
949	#386	C₂²×C₅₃	1	1	yes	characteristic
950	#386	C₂²×C₅₃	1	1	yes	characteristic
951	#386	C₂²×C₅₃	1	1	yes	characteristic
952	#386	C₂²×C₅₃	1	1	yes	characteristic
953	#386	C₂²×C₅₃	1	1	yes	characteristic
954	#386	C₂²×C₅₃	1	1	yes	characteristic
955	#386	C₂²×C₅₃	1	1	yes	characteristic
956	#386	C₂²×C₅₃	1	1	yes	characteristic
957	#386	C₂²×C₅₃	1	1	yes	characteristic
958	#386	C₂²×C₅₃	1	1	yes	characteristic
959	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
962	#385	C₂²×C₅₃	1	1	yes	characteristic
963	#385	C₂²×C₅₃	1	1	yes	characteristic
964	#385	C₂²×C₅₃	1	1	yes	characteristic
965	#385	C₂²×C₅₃	1	1	yes	characteristic
966	#385	C₂²×C₅₃	1	1	yes	characteristic
967	#385	C₂²×C₅₃	1	1	yes	characteristic
968	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
969	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
970	#383	C₂²×C₅₃	1	1	yes	characteristic, complemented
971	#383	C₂²×C₅₃	1	1	yes	characteristic, complemented
972	#382	C₂²×C₅₃	1	1	yes	characteristic, complemented
973	#381	C₂²×C₅₃	1	1	yes	characteristic
974	#381	C₂²×C₅₃	1	1	yes	characteristic
975	#381	C₂²×C₅₃	1	1	yes	characteristic
976	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
977	#380	C₂²×C₅₃	1	1	yes	characteristic
978	#380	C₂²×C₅₃	1	1	yes	characteristic
979	#380	C₂²×C₅₃	1	1	yes	characteristic
980	#379	C₂²×C₅₃	1	1	yes	characteristic
981	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
982	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
983	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
984	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
985	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
986	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
987	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
988	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
989	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
990	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
991	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
992	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
993	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
994	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
995	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
996	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
997	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
998	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
999	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
1000	C₅₃	#35053	1	1	yes	characteristic, direct product factor, Sylow
1001	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1002	C₂×#41	—	2	4	no	—
1003	C₂×#41	—	4	2	no	—
1004	C₂×#41	—	4	2	no	—
1005	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1006	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1007	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1008	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1009	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1010	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1011	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1012	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1013	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1014	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1015	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1016	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1017	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1018	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1019	C₂³×C₄	—	2	4	no	—
1020	C₂³×C₄	—	4	2	no	—
1021	C₂³×C₄	—	4	2	no	—
1022	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1023	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1024	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1025	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1026	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1027	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1028	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1029	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1030	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1031	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1032	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1033	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1034	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1035	#126	—	4	2	no	—
1036	#124	—	2	4	no	—
1037	#124	—	4	2	no	—
1038	#123	—	2	4	no	—
1039	#123	—	2	4	no	—
1040	#123	—	4	2	no	—
1041	C₂²⋊Q₈	—	4	2	no	—
1042	#121	—	2	4	no	—
1043	#121	—	2	4	no	—
1044	#121	—	4	2	no	—
1045	#121	—	4	2	no	—
1046	#121	—	4	2	no	—
1047	#120	—	4	2	no	—
1048	#120	—	4	2	no	—
1049	#120	—	4	2	no	—
1050	C₄×D₄	—	4	2	no	—
1051	#117	—	4	2	no	—
1052	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1069	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	—	2	4	no	—
1073	C₂×C₂²⋊C₄	—	2	4	no	—
1074	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1124	C₂×C₄²	—	4	2	no	—
1125	C₂×C₄²	—	4	2	no	—
1126	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1127	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1128	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1129	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1130	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1131	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1132	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1133	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1134	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1135	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1136	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1137	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1138	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1139	#95	C₂³×C₅₃	1	1	yes	characteristic
1140	#95	C₂³×C₅₃	1	1	yes	characteristic
1141	#95	C₂³×C₅₃	1	1	yes	characteristic
1142	#95	C₂³×C₅₃	1	1	yes	characteristic
1143	#95	C₂³×C₅₃	1	1	yes	characteristic
1144	#95	C₂³×C₅₃	1	1	yes	characteristic
1145	#95	C₂³×C₅₃	1	1	yes	characteristic
1146	#95	C₂³×C₅₃	1	1	yes	characteristic
1147	#95	C₂³×C₅₃	1	1	yes	characteristic
1148	#95	C₂³×C₅₃	1	1	yes	characteristic
1149	#95	C₂³×C₅₃	1	1	yes	characteristic
1150	#95	C₂³×C₅₃	1	1	yes	characteristic
1151	#95	C₂³×C₅₃	1	1	yes	characteristic
1152	#95	C₂³×C₅₃	1	1	yes	characteristic
1153	#95	C₂³×C₅₃	1	1	yes	characteristic
1154	#95	C₂³×C₅₃	1	1	yes	characteristic
1155	#95	C₂³×C₅₃	1	1	yes	characteristic
1156	#95	C₂³×C₅₃	1	1	yes	characteristic
1157	#95	C₂³×C₅₃	1	1	yes	characteristic
1158	#95	C₂³×C₅₃	1	1	yes	characteristic
1159	#95	C₂³×C₅₃	1	1	yes	characteristic
1160	#95	C₂³×C₅₃	1	1	yes	characteristic
1161	#95	C₂³×C₅₃	1	1	yes	characteristic
1162	#95	C₂³×C₅₃	1	1	yes	characteristic
1163	#95	C₂³×C₅₃	1	1	yes	characteristic
1164	#95	C₂³×C₅₃	1	1	yes	characteristic
1165	#95	C₂³×C₅₃	1	1	yes	characteristic
1166	#95	C₂³×C₅₃	1	1	yes	characteristic
1167	#95	C₂³×C₅₃	1	1	yes	characteristic
1168	#95	C₂³×C₅₃	1	1	yes	characteristic
1169	#95	C₂³×C₅₃	1	1	yes	characteristic
1170	#95	C₂³×C₅₃	1	1	yes	characteristic
1171	#95	C₂³×C₅₃	1	1	yes	characteristic
1172	#95	C₂³×C₅₃	1	1	yes	characteristic
1173	#95	C₂³×C₅₃	1	1	yes	characteristic
1174	#95	C₂³×C₅₃	1	1	yes	characteristic
1175	#95	C₂³×C₅₃	1	1	yes	characteristic
1176	#95	C₂³×C₅₃	1	1	yes	characteristic
1177	#95	C₂³×C₅₃	1	1	yes	characteristic
1178	#95	C₂³×C₅₃	1	1	yes	characteristic
1179	#95	C₂³×C₅₃	1	1	yes	characteristic
1180	#95	C₂³×C₅₃	1	1	yes	characteristic
1181	#95	C₂³×C₅₃	1	1	yes	characteristic
1182	#95	C₂³×C₅₃	1	1	yes	characteristic
1183	C₂⁴	—	2	2	no	—
1184	C₂⁴	—	2	2	no	—
1185	C₂⁴	—	2	2	no	—
1186	C₂⁴	—	2	2	no	—
1187	C₂⁴	—	2	2	no	—
1188	C₂⁴	—	4	1	no	—
1189	C₂⁴	—	4	1	no	—
1190	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1191	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1192	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1193	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1194	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1195	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1196	#41	—	4	16	no	—
1197	C₂×Q₈	—	2	2	no	—
1198	C₂×Q₈	—	2	2	no	—
1199	C₂×Q₈	—	4	1	no	—
1200	C₂×Q₈	—	4	1	no	—
1201	C₂×Q₈	—	4	1	no	—
1202	C₂×Q₈	—	4	1	no	—
1203	C₂×D₄	—	2	2	no	—
1204	C₂×D₄	—	2	2	no	—
1205	C₂×D₄	—	2	2	no	—
1206	C₂×D₄	—	2	2	no	—
1207	C₂×D₄	—	2	2	no	—
1208	C₂×D₄	—	2	2	no	—
1209	C₂×D₄	—	2	2	no	—
1210	C₂×D₄	—	2	2	no	—
1211	C₂×D₄	—	2	2	no	—
1212	C₂×D₄	—	2	2	no	—
1213	C₂×D₄	—	2	2	no	—
1214	C₂×D₄	—	2	2	no	—
1215	C₂×D₄	—	2	2	no	—
1216	C₂×D₄	—	2	2	no	—
1217	C₂×D₄	—	2	2	no	—
1218	C₂×D₄	—	2	2	no	—
1219	C₂×D₄	—	2	2	no	—
1220	C₂×D₄	—	2	2	no	—
1221	C₂×D₄	—	4	1	no	—
1222	C₂×D₄	—	4	1	no	—
1223	C₂×D₄	—	4	1	no	—
1224	C₂×D₄	—	4	1	no	—
1225	C₂×D₄	—	4	1	no	—
1226	C₂×D₄	—	4	1	no	—
1227	C₂×D₄	—	4	1	no	—
1228	C₂×D₄	—	4	1	no	—
1229	C₂×D₄	—	4	1	no	—
1230	C₂×D₄	—	4	1	no	—
1231	C₂×D₄	—	4	1	no	—
1232	C₂×D₄	—	4	1	no	—
1233	C₂×D₄	—	4	1	no	—
1234	C₂×D₄	—	4	1	no	—
1235	C₂×D₄	—	4	1	no	—
1236	C₂×D₄	—	4	1	no	—
1237	C₂×D₄	—	4	1	no	—
1238	C₂×D₄	—	4	1	no	—
1239	C₂²×C₄	—	2	2	no	—
1240	C₂²×C₄	—	2	2	no	—
1241	C₂²×C₄	—	2	2	no	—
1242	C₂²×C₄	—	2	2	no	—
1243	C₂²×C₄	—	2	2	no	—
1244	C₂²×C₄	—	2	2	no	—
1245	C₂²×C₄	—	2	2	no	—
1246	C₂²×C₄	—	2	2	no	—
1247	C₂²×C₄	—	2	2	no	—
1248	C₂²×C₄	—	2	2	no	—
1249	C₂²×C₄	—	2	2	no	—
1250	C₂²×C₄	—	2	2	no	—
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	—	4	1	no	—
1260	C₂²×C₄	—	4	1	no	—
1261	C₂²×C₄	—	4	1	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	—	4	1	no	—
1273	C₂²×C₄	—	4	1	no	—
1274	C₂²×C₄	—	4	1	no	—
1275	C₂²×C₄	—	4	1	no	—
1276	C₂²×C₄	—	4	16	no	—
1277	C₂²×C₄	#41×C₅₃	1	4	yes	—
1278	C₂²×C₄	#41×C₅₃	1	4	yes	complemented
1279	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1280	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1281	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1282	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1283	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1285	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1286	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1287	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1288	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1289	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1291	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1292	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1293	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1294	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1295	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1296	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1297	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1298	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1299	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1300	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1301	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1302	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1303	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1304	C₄⋊C₄	—	2	2	no	—
1305	C₄⋊C₄	—	2	2	no	—
1306	C₄⋊C₄	—	2	2	no	—
1307	C₄⋊C₄	—	2	2	no	—
1308	C₄⋊C₄	—	2	2	no	—
1309	C₄⋊C₄	—	2	2	no	—
1310	C₄⋊C₄	—	2	2	no	—
1311	C₄⋊C₄	—	4	1	no	—
1312	C₄⋊C₄	—	4	1	no	—
1313	C₄⋊C₄	—	4	1	no	—
1314	C₄⋊C₄	—	4	1	no	—
1315	C₄⋊C₄	—	4	1	no	—
1316	C₄⋊C₄	—	4	1	no	—
1317	C₄⋊C₄	—	4	1	no	—
1318	C₄⋊C₄	—	4	1	no	—
1319	C₄⋊C₄	—	4	1	no	—
1320	C₄⋊C₄	—	4	1	no	—
1321	C₄⋊C₄	—	4	1	no	—
1322	C₄⋊C₄	—	4	1	no	—
1323	C₄⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	2	2	no	—
1325	C₂²⋊C₄	—	2	2	no	—
1326	C₂²⋊C₄	—	2	2	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	2	2	no	—
1337	C₂²⋊C₄	—	2	2	no	—
1338	C₂²⋊C₄	—	2	2	no	—
1339	C₂²⋊C₄	—	2	2	no	—
1340	C₂²⋊C₄	—	2	2	no	—
1341	C₂²⋊C₄	—	2	2	no	—
1342	C₂²⋊C₄	—	2	2	no	—
1343	C₂²⋊C₄	—	2	2	no	—
1344	C₂²⋊C₄	—	2	2	no	—
1345	C₂²⋊C₄	—	2	2	no	—
1346	C₂²⋊C₄	—	2	2	no	—
1347	C₂²⋊C₄	—	2	2	no	—
1348	C₂²⋊C₄	—	2	2	no	—
1349	C₂²⋊C₄	—	2	2	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₂²⋊C₄	—	4	1	no	—
1352	C₂²⋊C₄	—	4	1	no	—
1353	C₂²⋊C₄	—	4	1	no	—
1354	C₂²⋊C₄	—	4	1	no	—
1355	C₂²⋊C₄	—	4	1	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	4	1	no	—
1363	C₂²⋊C₄	—	4	1	no	—
1364	C₂²⋊C₄	—	4	1	no	—
1365	C₂²⋊C₄	—	4	1	no	—
1366	C₂²⋊C₄	—	4	1	no	—
1367	C₂²⋊C₄	—	4	1	no	—
1368	C₂²⋊C₄	—	4	1	no	—
1369	C₂²⋊C₄	—	4	1	no	—
1370	C₂²⋊C₄	—	4	1	no	—
1371	C₂²⋊C₄	—	4	1	no	—
1372	C₂²⋊C₄	—	4	1	no	—
1373	C₂²⋊C₄	#41×C₅₃	1	4	yes	complemented
1374	C₄²	—	2	2	no	—
1375	C₄²	—	2	2	no	—
1376	C₄²	—	2	2	no	—
1377	C₄²	—	4	1	no	—
1378	C₄²	—	4	1	no	—
1379	C₄²	—	4	1	no	—
1380	C₄²	—	4	1	no	—
1381	C₄²	—	4	1	no	—
1382	C₄²	—	4	1	no	—
1383	C₄²	—	4	1	no	—
1384	C₄²	—	4	1	no	—
1385	C₄²	—	4	1	no	—
1386	C₄²	—	4	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	8	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	2	1	no	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	4	4	no	—
1426	C₂³	—	4	4	no	—
1427	C₂³	—	4	4	no	—
1428	C₂³	—	4	4	no	—
1429	C₂³	—	4	4	no	—
1430	C₂³	—	4	4	no	—
1431	C₂³	C₂×#41×C₅₃	1	2	yes	—
1432	C₂³	C₂×#41×C₅₃	1	2	yes	—
1433	C₂³	C₂×#41×C₅₃	1	2	yes	—
1434	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1435	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1436	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1437	Q₈	—	4	4	no	—
1438	Q₈	—	8	2	no	—
1439	D₄	—	4	4	no	—
1440	D₄	—	4	4	no	—
1441	D₄	—	4	4	no	—
1442	D₄	—	4	4	no	—
1443	D₄	—	8	2	no	—
1444	D₄	—	8	2	no	—
1445	D₄	—	8	2	no	—
1446	D₄	—	8	2	no	—
1447	D₄	—	8	2	no	—
1448	D₄	—	8	2	no	—
1449	D₄	—	8	2	no	—
1450	D₄	—	8	2	no	—
1451	C₂×C₄	—	2	8	no	—
1452	C₂×C₄	—	2	8	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	4	4	no	—
1522	C₂×C₄	—	4	4	no	—
1523	C₂×C₄	—	4	4	no	—
1524	C₂×C₄	—	4	4	no	—
1525	C₂×C₄	—	4	4	no	—
1526	C₂×C₄	—	4	4	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	4	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	4	no	—
1531	C₂×C₄	—	8	2	no	—
1532	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1533	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1534	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1535	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1536	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1537	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1538	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	2	2	no	—
1545	C₂²	—	2	2	no	—
1546	C₂²	—	2	2	no	—
1547	C₂²	—	2	2	no	—
1548	C₂²	—	2	2	no	—
1549	C₂²	—	2	2	no	—
1550	C₂²	—	2	2	no	—
1551	C₂²	—	4	16	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	1	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	C₅₃×#538	1	4	yes	—
1582	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1583	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1584	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1585	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1586	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1587	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1588	C₂²	C₅₃×#585	1	1	yes	characteristic
1589	C₄	—	2	2	no	—
1590	C₄	—	2	2	no	—
1591	C₄	—	2	2	no	—
1592	C₄	—	2	2	no	—
1593	C₄	—	2	2	no	—
1594	C₄	—	2	2	no	—
1595	C₄	—	2	2	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₂	—	2	4	no	—
1615	C₂	—	4	2	no	—
1616	C₂	—	4	2	no	—
1617	C₂	—	8	1	no	—
1618	C₂	—	8	1	no	—
1619	C₂	—	8	1	no	—
1620	C₂	C₅₃×#3444	1	1	yes	characteristic
1621	C₂	C₂×C₅₃×#538	1	1	yes	characteristic
1622	C₂	C₅₃×#3460	1	1	yes	characteristic
1623	C₂	C₅₃×#3490	1	1	yes	characteristic
1624	C₂	C₅₃×#3494	1	1	yes	characteristic
1625	C₂	C₅₃×#3513	1	1	yes	characteristic
1626	C₂	C₅₃×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₃×#2852	C₂	semidirect
2. C₅₃×#2850	C₂	semidirect
3. C₅₃×#2849	C₂	semidirect
4. C₅₃×#2847	C₂	semidirect
5. C₅₃×#2665	C₂	semidirect
6. C₅₃×#2661	C₂	semidirect
7. C₅₃×#2653	C₂	semidirect
8. C₅₃×#2648	C₂	semidirect
9. C₅₃×#2578	C₂	semidirect
10. C₅₃×#2576	C₂	semidirect
11. C₅₃×#2574	C₂	semidirect
12. C₅₃×#2572	C₂	semidirect
13. C₅₃×#2559	C₂	semidirect
14. C₅₃×#2557	C₂	semidirect
15. C₅₃×#2555	C₂	semidirect
16. C₅₃×#2554	C₂	semidirect
17. C₅₃×#2510	C₂	semidirect
18. C₅₃×#2472	C₂	semidirect
19. C₅₃×#2444	C₂	semidirect
20. C₅₃×#2438	C₂	semidirect
21. C₅₃×#2430	C₂	semidirect
22. C₅₃×#2424	C₂	semidirect
23. C₅₃×#2411	C₂	semidirect
24. C₅₃×#2404	C₂	semidirect
25. C₅₃×#2337	C₂	semidirect
26. C₅₃×#2335	C₂	semidirect
27. C₅₃×#2333	C₂	semidirect
28. C₅₃×#2333	C₂	semidirect
29. C₄×#123×C₅₃	C₂	semidirect
30. C₅₃×#2297	C₂	semidirect
31. C₂×C₄×C₂²⋊C₄×C₅₃	C₂	semidirect
34. C₂×#126×C₅₃	C₂²	semidirect
36. C₂×#124×C₅₃	C₂²	semidirect
55. C₅₃×#401	C₂²	semidirect
56. C₅₃×#400	C₂²	semidirect
57. C₅₃×#400	C₂²	semidirect
58. C₅₃×#400	C₂²	semidirect
59. C₅₃×#398	C₂²	semidirect
60. C₅₃×#398	C₂²	semidirect
62. C₅₃×#397	C₂²	semidirect
63. C₅₃×#397	C₂²	semidirect
64. C₅₃×#397	C₂²	semidirect
65. C₅₃×#397	C₂²	semidirect
69. C₅₃×#395	C₂²	semidirect
70. C₅₃×#395	C₂²	semidirect
77. C₅₃×#394	C₂²	semidirect
78. C₅₃×#394	C₂²	semidirect
82. C₅₃×#393	C₂²	semidirect
86. C₅₃×#392	C₂²	semidirect
87. C₅₃×#391	C₂²	semidirect
88. C₅₃×#391	C₂²	semidirect
89. C₅₃×#391	C₂²	semidirect
90. C₅₃×#391	C₂²	semidirect
95. C₅₃×#390	C₂²	semidirect
96. C₅₃×#390	C₂²	semidirect
97. C₅₃×#390	C₂²	semidirect
98. C₅₃×#389	C₂²	semidirect
104. C₅₃×#388	C₂²	semidirect
105. C₅₃×#388	C₂²	semidirect
106. C₅₃×#388	C₂²	semidirect
107. C₅₃×#388	C₂²	semidirect
108. C₅₃×#388	C₂²	semidirect
109. C₅₃×#388	C₂²	semidirect
110. C₅₃×#388	C₂²	semidirect
111. C₅₃×#388	C₂²	semidirect
112. C₅₃×#388	C₂²	semidirect
113. C₅₃×#388	C₂²	semidirect
114. C₅₃×#388	C₂²	semidirect
115. C₅₃×#388	C₂²	semidirect
116. C₅₃×#387	C₂²	semidirect
117. C₅₃×#387	C₂²	semidirect
118. C₅₃×#387	C₂²	semidirect
119. C₅₃×#387	C₂²	semidirect
120. C₅₃×#387	C₂²	semidirect
121. C₅₃×#387	C₂²	semidirect
122. C₅₃×#387	C₂²	semidirect
123. C₅₃×#387	C₂²	semidirect
124. C₅₃×#387	C₂²	semidirect
146. C₅₃×#386	C₂²	semidirect
147. C₅₃×#386	C₂²	semidirect
148. C₅₃×#386	C₂²	semidirect
155. C₅₃×#385	C₂²	semidirect
156. C₅₃×#385	C₂²	semidirect
157. C₅₃×#383	C₂²	semidirect
158. C₅₃×#383	C₂²	semidirect
159. C₅₃×#382	C₂²	semidirect
163. C₅₃×#381	C₂²	semidirect
168. C₄×C₄⋊C₄×C₅₃	C₂²	semidirect
169. C₄×C₄⋊C₄×C₅₃	C₂²	semidirect
179. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
180. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
181. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
182. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
464. C₂²×C₄×C₅₃	#41	semidirect
559. C₂²⋊C₄×C₅₃	#41	semidirect
725. #35053	C₅₃	direct (N × H)
801. #2852	C₂×C₅₃	semidirect
802. #2850	C₂×C₅₃	semidirect
803. #2849	C₂×C₅₃	semidirect
804. #2847	C₂×C₅₃	semidirect
805. #2665	C₂×C₅₃	semidirect
806. #2661	C₂×C₅₃	semidirect
807. #2653	C₂×C₅₃	semidirect
808. #2648	C₂×C₅₃	semidirect
809. #2578	C₂×C₅₃	semidirect
810. #2576	C₂×C₅₃	semidirect
811. #2574	C₂×C₅₃	semidirect
812. #2572	C₂×C₅₃	semidirect
813. #2559	C₂×C₅₃	semidirect
814. #2557	C₂×C₅₃	semidirect
815. #2555	C₂×C₅₃	semidirect
816. #2554	C₂×C₅₃	semidirect
817. #2510	C₂×C₅₃	semidirect
818. #2472	C₂×C₅₃	semidirect
819. #2444	C₂×C₅₃	semidirect
820. #2438	C₂×C₅₃	semidirect
821. #2430	C₂×C₅₃	semidirect
822. #2424	C₂×C₅₃	semidirect
823. #2411	C₂×C₅₃	semidirect
824. #2404	C₂×C₅₃	semidirect
825. #2337	C₂×C₅₃	semidirect
826. #2335	C₂×C₅₃	semidirect
827. #2333	C₂×C₅₃	semidirect
828. #2333	C₂×C₅₃	semidirect
829. C₄×#123	C₂×C₅₃	semidirect
830. #2297	C₂×C₅₃	semidirect
831. C₂×C₄×C₂²⋊C₄	C₂×C₅₃	semidirect
847. C₂×#126	C₂²×C₅₃	semidirect
849. C₂×#124	C₂²×C₅₃	semidirect
868. #401	C₂²×C₅₃	semidirect
869. #400	C₂²×C₅₃	semidirect
870. #400	C₂²×C₅₃	semidirect
871. #400	C₂²×C₅₃	semidirect
872. #398	C₂²×C₅₃	semidirect
873. #398	C₂²×C₅₃	semidirect
875. #397	C₂²×C₅₃	semidirect
876. #397	C₂²×C₅₃	semidirect
877. #397	C₂²×C₅₃	semidirect
878. #397	C₂²×C₅₃	semidirect
882. #395	C₂²×C₅₃	semidirect
883. #395	C₂²×C₅₃	semidirect
890. #394	C₂²×C₅₃	semidirect
891. #394	C₂²×C₅₃	semidirect
895. #393	C₂²×C₅₃	semidirect
899. #392	C₂²×C₅₃	semidirect
900. #391	C₂²×C₅₃	semidirect
901. #391	C₂²×C₅₃	semidirect
902. #391	C₂²×C₅₃	semidirect
903. #391	C₂²×C₅₃	semidirect
908. #390	C₂²×C₅₃	semidirect
909. #390	C₂²×C₅₃	semidirect
910. #390	C₂²×C₅₃	semidirect
911. #389	C₂²×C₅₃	semidirect
917. #388	C₂²×C₅₃	semidirect
918. #388	C₂²×C₅₃	semidirect
919. #388	C₂²×C₅₃	semidirect
920. #388	C₂²×C₅₃	semidirect
921. #388	C₂²×C₅₃	semidirect
922. #388	C₂²×C₅₃	semidirect
923. #388	C₂²×C₅₃	semidirect
924. #388	C₂²×C₅₃	semidirect
925. #388	C₂²×C₅₃	semidirect
926. #388	C₂²×C₅₃	semidirect
927. #388	C₂²×C₅₃	semidirect
928. #388	C₂²×C₅₃	semidirect
929. #387	C₂²×C₅₃	semidirect
930. #387	C₂²×C₅₃	semidirect
931. #387	C₂²×C₅₃	semidirect
932. #387	C₂²×C₅₃	semidirect
933. #387	C₂²×C₅₃	semidirect
934. #387	C₂²×C₅₃	semidirect
935. #387	C₂²×C₅₃	semidirect
936. #387	C₂²×C₅₃	semidirect
937. #387	C₂²×C₅₃	semidirect
959. #386	C₂²×C₅₃	semidirect
960. #386	C₂²×C₅₃	semidirect
961. #386	C₂²×C₅₃	semidirect
968. #385	C₂²×C₅₃	semidirect
969. #385	C₂²×C₅₃	semidirect
970. #383	C₂²×C₅₃	semidirect
971. #383	C₂²×C₅₃	semidirect
972. #382	C₂²×C₅₃	semidirect
976. #381	C₂²×C₅₃	semidirect
981. C₄×C₄⋊C₄	C₂²×C₅₃	semidirect
982. C₄×C₄⋊C₄	C₂²×C₅₃	semidirect
992. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
993. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
994. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
995. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
996. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
997. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
1000. C₅₃	#35053	direct (N × H)
1278. C₂²×C₄	#41×C₅₃	semidirect
1373. C₂²⋊C₄	#41×C₅₃	semidirect

Maximal subgroups

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

subgroup	index
C₅₃×#2852	2
C₅₃×#2850	2
C₅₃×#2849	2
C₅₃×#2847	2
C₅₃×#2665	2
C₅₃×#2661	2
C₅₃×#2653	2
C₅₃×#2648	2
C₅₃×#2578	2
C₅₃×#2576	2
C₅₃×#2574	2
C₅₃×#2572	2
C₅₃×#2559	2
C₅₃×#2557	2
C₅₃×#2555	2
C₅₃×#2554	2
C₅₃×#2510	2
C₅₃×#2472	2
C₅₃×#2444	2
C₅₃×#2438	2
C₅₃×#2430	2
C₅₃×#2424	2
C₅₃×#2411	2
C₅₃×#2404	2
C₅₃×#2337	2
C₅₃×#2335	2
C₅₃×#2333	2
C₄×#123×C₅₃	2
C₅₃×#2297	2
C₂×C₄×C₂²⋊C₄×C₅₃	2
#35053	53

Subgroups — C53×#35053 #27242565

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#35053 #27242565