Subgroups — C₅₃×#35009 #27242521

Order 13568.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2861	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2860	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2854	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2664	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2663	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2662	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2661	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2560	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2559	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2558	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2557	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2549	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2543	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2539	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2534	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2521	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2519	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2488	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#2464	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#2461	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#121×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₅₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×D₄×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅₃×#539	—	2	8	no	—
33	C₅₃×#538	—	2	8	no	—
34	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic
35	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic
36	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
41	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
42	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
43	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
44	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
45	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
46	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
47	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
48	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
49	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
55	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
56	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
57	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
58	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
59	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
60	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
61	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
62	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
65	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
66	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
67	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
68	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
70	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
72	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
73	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic
74	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
75	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
76	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
77	C₅₃×#399	C₂²	1	1	yes	characteristic
78	C₅₃×#399	C₂²	1	1	yes	characteristic
79	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
80	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
81	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
82	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
83	C₅₃×#397	C₂²	1	1	yes	characteristic
84	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
85	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
86	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#396	C₂²	1	1	yes	characteristic
88	C₅₃×#396	C₂²	1	1	yes	characteristic
89	C₅₃×#396	C₂²	1	1	yes	characteristic
90	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
91	C₅₃×#395	C₂²	1	1	yes	characteristic, complemented
92	C₅₃×#395	C₂²	1	1	yes	characteristic, complemented
93	C₅₃×#394	C₂²	1	1	yes	characteristic
94	C₅₃×#394	C₂²	1	1	yes	characteristic
95	C₅₃×#394	C₂²	1	1	yes	characteristic
96	C₅₃×#394	C₂²	1	1	yes	characteristic
97	C₅₃×#394	C₂²	1	1	yes	characteristic
98	C₅₃×#394	C₂²	1	1	yes	characteristic
99	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
100	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
101	C₅₃×#393	C₂²	1	1	yes	characteristic
102	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
103	C₅₃×#392	C₂²	1	1	yes	characteristic
104	C₅₃×#392	C₂²	1	1	yes	characteristic
105	C₅₃×#392	C₂²	1	1	yes	characteristic
106	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
107	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#390	C₂²	1	1	yes	characteristic
111	C₅₃×#390	C₂²	1	1	yes	characteristic
112	C₅₃×#390	C₂²	1	1	yes	characteristic
113	C₅₃×#390	C₂²	1	1	yes	characteristic
114	C₅₃×#390	C₂²	1	1	yes	characteristic
115	C₅₃×#390	C₂²	1	1	yes	characteristic
116	C₅₃×#390	C₂²	1	1	yes	characteristic
117	C₅₃×#390	C₂²	1	1	yes	characteristic
118	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
120	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
121	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
124	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
125	C₅₃×#388	C₂²	1	1	yes	characteristic
126	C₅₃×#388	C₂²	1	1	yes	characteristic
127	C₅₃×#388	C₂²	1	1	yes	characteristic
128	C₅₃×#388	C₂²	1	1	yes	characteristic
129	C₅₃×#388	C₂²	1	1	yes	characteristic
130	C₅₃×#388	C₂²	1	1	yes	characteristic
131	C₅₃×#388	C₂²	1	1	yes	characteristic
132	C₅₃×#388	C₂²	1	1	yes	characteristic
133	C₅₃×#388	C₂²	1	1	yes	characteristic
134	C₅₃×#388	C₂²	1	1	yes	characteristic
135	C₅₃×#388	C₂²	1	1	yes	characteristic
136	C₅₃×#388	C₂²	1	1	yes	characteristic
137	C₅₃×#388	C₂²	1	1	yes	characteristic
138	C₅₃×#388	C₂²	1	1	yes	characteristic
139	C₅₃×#388	C₂²	1	1	yes	characteristic
140	C₅₃×#388	C₂²	1	1	yes	characteristic
141	C₅₃×#388	C₂²	1	1	yes	characteristic
142	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
143	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
144	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
145	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
146	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
147	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
148	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
149	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
150	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
151	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
152	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
153	C₅₃×#386	C₂²	1	1	yes	characteristic
154	C₅₃×#386	C₂²	1	1	yes	characteristic
155	C₅₃×#386	C₂²	1	1	yes	characteristic
156	C₅₃×#386	C₂²	1	1	yes	characteristic
157	C₅₃×#386	C₂²	1	1	yes	characteristic
158	C₅₃×#386	C₂²	1	1	yes	characteristic
159	C₅₃×#386	C₂²	1	1	yes	characteristic
160	C₅₃×#386	C₂²	1	1	yes	characteristic
161	C₅₃×#386	C₂²	1	1	yes	characteristic
162	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
163	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
164	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
165	C₅₃×#385	C₂²	1	1	yes	characteristic
166	C₅₃×#385	C₂²	1	1	yes	characteristic
167	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
168	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
169	C₅₃×#382	C₂²	1	1	yes	characteristic, complemented
170	C₅₃×#381	C₂²	1	1	yes	characteristic
171	C₅₃×#380	C₂²	1	1	yes	characteristic
172	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#379	C₂²	1	1	yes	characteristic
174	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
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	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
186	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
187	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic
188	C₄³×C₅₃	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
191	C₂²×Q₈×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	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	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
215	#126×C₅₃	—	2	4	no	—
216	#126×C₅₃	—	2	4	no	—
217	#126×C₅₃	—	2	4	no	—
218	#126×C₅₃	—	2	4	no	—
219	#125×C₅₃	—	2	4	no	—
220	#125×C₅₃	—	2	4	no	—
221	#124×C₅₃	—	2	4	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	—	2	4	no	—
227	#123×C₅₃	—	2	4	no	—
228	#123×C₅₃	—	2	4	no	—
229	#123×C₅₃	—	2	4	no	—
230	#123×C₅₃	—	2	4	no	—
231	C₂²⋊Q₈×C₅₃	—	2	4	no	—
232	C₂²⋊Q₈×C₅₃	—	2	4	no	—
233	C₂²⋊Q₈×C₅₃	—	2	4	no	—
234	C₂²⋊Q₈×C₅₃	—	2	4	no	—
235	#121×C₅₃	—	2	4	no	—
236	#121×C₅₃	—	2	4	no	—
237	#121×C₅₃	—	2	4	no	—
238	#121×C₅₃	—	2	4	no	—
239	#121×C₅₃	—	2	4	no	—
240	#121×C₅₃	—	4	2	no	—
241	#120×C₅₃	—	2	4	no	—
242	#120×C₅₃	—	2	4	no	—
243	#120×C₅₃	—	2	4	no	—
244	C₄×D₄×C₅₃	—	2	4	no	—
245	C₄×D₄×C₅₃	—	2	4	no	—
246	C₄×D₄×C₅₃	—	2	4	no	—
247	C₄×D₄×C₅₃	—	2	4	no	—
248	C₄×D₄×C₅₃	—	4	2	no	—
249	C₄×D₄×C₅₃	D₄	1	8	yes	complemented
250	C₂×C₄⋊C₄×C₅₃	—	2	4	no	—
251	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₅₃	—	2	4	no	—
282	C₂×C₂²⋊C₄×C₅₃	—	2	4	no	—
283	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
284	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₅₃	—	4	2	no	—
337	C₂×C₄²×C₅₃	—	4	2	no	—
338	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
353	#95×C₅₃	C₂³	1	1	yes	characteristic
354	#95×C₅₃	C₂³	1	1	yes	characteristic
355	#95×C₅₃	C₂³	1	1	yes	characteristic
356	#95×C₅₃	C₂³	1	1	yes	characteristic
357	#95×C₅₃	C₂³	1	1	yes	characteristic
358	#95×C₅₃	C₂³	1	1	yes	characteristic
359	#95×C₅₃	C₂³	1	1	yes	characteristic
360	#95×C₅₃	C₂³	1	1	yes	characteristic
361	#95×C₅₃	C₂³	1	1	yes	characteristic
362	#95×C₅₃	C₂³	1	1	yes	characteristic
363	#95×C₅₃	C₂³	1	1	yes	characteristic
364	#95×C₅₃	C₂³	1	1	yes	characteristic
365	#95×C₅₃	C₂³	1	1	yes	characteristic
366	#95×C₅₃	C₂³	1	1	yes	characteristic
367	#95×C₅₃	C₂³	1	1	yes	characteristic
368	#95×C₅₃	C₂³	1	1	yes	characteristic
369	#95×C₅₃	C₂³	1	1	yes	characteristic
370	#95×C₅₃	C₂³	1	1	yes	characteristic
371	#95×C₅₃	C₂³	1	1	yes	characteristic
372	#95×C₅₃	C₂³	1	1	yes	characteristic
373	#95×C₅₃	C₂³	1	1	yes	characteristic
374	#95×C₅₃	C₂³	1	1	yes	characteristic
375	#95×C₅₃	C₂³	1	1	yes	characteristic
376	#95×C₅₃	C₂³	1	1	yes	characteristic
377	#95×C₅₃	C₂³	1	1	yes	characteristic
378	#95×C₅₃	C₂³	1	1	yes	characteristic
379	#95×C₅₃	C₂³	1	1	yes	characteristic
380	#95×C₅₃	C₂³	1	1	yes	characteristic
381	#95×C₅₃	C₂³	1	1	yes	characteristic
382	#95×C₅₃	C₂³	1	1	yes	characteristic
383	#95×C₅₃	C₂³	1	1	yes	characteristic
384	#95×C₅₃	C₂³	1	1	yes	characteristic
385	C₂⁴×C₅₃	—	2	2	no	—
386	C₂⁴×C₅₃	—	2	2	no	—
387	C₂⁴×C₅₃	—	2	2	no	—
388	C₂⁴×C₅₃	—	4	1	no	—
389	C₂⁴×C₅₃	—	4	1	no	—
390	C₂⁴×C₅₃	—	4	1	no	—
391	C₂⁴×C₅₃	—	4	1	no	—
392	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
394	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
395	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
398	C₂×Q₈×C₅₃	—	2	2	no	—
399	C₂×Q₈×C₅₃	—	2	2	no	—
400	C₂×Q₈×C₅₃	—	4	1	no	—
401	C₂×Q₈×C₅₃	—	4	1	no	—
402	C₂×Q₈×C₅₃	—	4	1	no	—
403	C₂×Q₈×C₅₃	—	4	1	no	—
404	C₂×D₄×C₅₃	—	2	2	no	—
405	C₂×D₄×C₅₃	—	2	2	no	—
406	C₂×D₄×C₅₃	—	2	2	no	—
407	C₂×D₄×C₅₃	—	2	2	no	—
408	C₂×D₄×C₅₃	—	2	2	no	—
409	C₂×D₄×C₅₃	—	2	2	no	—
410	C₂×D₄×C₅₃	—	2	2	no	—
411	C₂×D₄×C₅₃	—	2	2	no	—
412	C₂×D₄×C₅₃	—	2	2	no	—
413	C₂×D₄×C₅₃	—	2	2	no	—
414	C₂×D₄×C₅₃	—	2	2	no	—
415	C₂×D₄×C₅₃	—	2	2	no	—
416	C₂×D₄×C₅₃	—	2	2	no	—
417	C₂×D₄×C₅₃	—	2	2	no	—
418	C₂×D₄×C₅₃	—	2	2	no	—
419	C₂×D₄×C₅₃	—	2	2	no	—
420	C₂×D₄×C₅₃	—	2	2	no	—
421	C₂×D₄×C₅₃	—	4	1	no	—
422	C₂×D₄×C₅₃	—	4	1	no	—
423	C₂×D₄×C₅₃	—	4	1	no	—
424	C₂×D₄×C₅₃	—	4	1	no	—
425	C₂×D₄×C₅₃	—	4	1	no	—
426	C₂×D₄×C₅₃	—	4	1	no	—
427	C₂×D₄×C₅₃	—	4	1	no	—
428	C₂×D₄×C₅₃	—	4	1	no	—
429	C₂×D₄×C₅₃	—	4	1	no	—
430	C₂×D₄×C₅₃	—	4	1	no	—
431	C₂×D₄×C₅₃	—	4	1	no	—
432	C₂×D₄×C₅₃	—	4	1	no	—
433	C₂×D₄×C₅₃	—	4	1	no	—
434	C₂×D₄×C₅₃	—	4	1	no	—
435	C₂×D₄×C₅₃	—	4	1	no	—
436	C₂×D₄×C₅₃	—	4	1	no	—
437	C₂×D₄×C₅₃	—	4	1	no	—
438	C₂×D₄×C₅₃	—	4	1	no	—
439	C₂×D₄×C₅₃	C₂×D₄	1	4	yes	—
440	C₂²×C₄×C₅₃	—	2	2	no	—
441	C₂²×C₄×C₅₃	—	2	2	no	—
442	C₂²×C₄×C₅₃	—	2	2	no	—
443	C₂²×C₄×C₅₃	—	2	2	no	—
444	C₂²×C₄×C₅₃	—	2	2	no	—
445	C₂²×C₄×C₅₃	—	2	2	no	—
446	C₂²×C₄×C₅₃	—	2	2	no	—
447	C₂²×C₄×C₅₃	—	2	2	no	—
448	C₂²×C₄×C₅₃	—	2	2	no	—
449	C₂²×C₄×C₅₃	—	2	2	no	—
450	C₂²×C₄×C₅₃	—	2	2	no	—
451	C₂²×C₄×C₅₃	—	2	2	no	—
452	C₂²×C₄×C₅₃	—	4	1	no	—
453	C₂²×C₄×C₅₃	—	4	1	no	—
454	C₂²×C₄×C₅₃	—	4	1	no	—
455	C₂²×C₄×C₅₃	—	4	1	no	—
456	C₂²×C₄×C₅₃	—	4	1	no	—
457	C₂²×C₄×C₅₃	—	4	1	no	—
458	C₂²×C₄×C₅₃	—	4	1	no	—
459	C₂²×C₄×C₅₃	—	4	1	no	—
460	C₂²×C₄×C₅₃	—	4	1	no	—
461	C₂²×C₄×C₅₃	—	4	1	no	—
462	C₂²×C₄×C₅₃	—	4	1	no	—
463	C₂²×C₄×C₅₃	—	4	1	no	—
464	C₂²×C₄×C₅₃	—	4	1	no	—
465	C₂²×C₄×C₅₃	—	4	1	no	—
466	C₂²×C₄×C₅₃	—	4	1	no	—
467	C₂²×C₄×C₅₃	—	4	1	no	—
468	C₂²×C₄×C₅₃	—	4	1	no	—
469	C₂²×C₄×C₅₃	—	4	1	no	—
470	C₂²×C₄×C₅₃	C₂×D₄	1	4	yes	—
471	C₂²×C₄×C₅₃	C₂×D₄	1	4	yes	—
472	C₂²×C₄×C₅₃	#41	1	4	yes	—
473	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
498	C₄⋊C₄×C₅₃	—	2	2	no	—
499	C₄⋊C₄×C₅₃	—	2	2	no	—
500	C₄⋊C₄×C₅₃	—	2	2	no	—
501	C₄⋊C₄×C₅₃	—	2	2	no	—
502	C₄⋊C₄×C₅₃	—	2	2	no	—
503	C₄⋊C₄×C₅₃	—	2	2	no	—
504	C₄⋊C₄×C₅₃	—	2	2	no	—
505	C₄⋊C₄×C₅₃	—	2	2	no	—
506	C₄⋊C₄×C₅₃	—	2	2	no	—
507	C₄⋊C₄×C₅₃	—	2	2	no	—
508	C₄⋊C₄×C₅₃	—	2	2	no	—
509	C₄⋊C₄×C₅₃	—	2	2	no	—
510	C₄⋊C₄×C₅₃	—	2	2	no	—
511	C₄⋊C₄×C₅₃	—	2	2	no	—
512	C₄⋊C₄×C₅₃	—	2	2	no	—
513	C₄⋊C₄×C₅₃	—	2	2	no	—
514	C₄⋊C₄×C₅₃	—	2	2	no	—
515	C₄⋊C₄×C₅₃	—	2	2	no	—
516	C₄⋊C₄×C₅₃	—	2	2	no	—
517	C₄⋊C₄×C₅₃	—	2	2	no	—
518	C₄⋊C₄×C₅₃	—	2	2	no	—
519	C₄⋊C₄×C₅₃	—	2	2	no	—
520	C₄⋊C₄×C₅₃	—	2	2	no	—
521	C₄⋊C₄×C₅₃	—	4	1	no	—
522	C₄⋊C₄×C₅₃	—	4	1	no	—
523	C₄⋊C₄×C₅₃	—	4	1	no	—
524	C₄⋊C₄×C₅₃	—	4	1	no	—
525	C₄⋊C₄×C₅₃	—	4	1	no	—
526	C₄⋊C₄×C₅₃	—	4	1	no	—
527	C₄⋊C₄×C₅₃	C₂×D₄	1	4	yes	—
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	—	2	2	no	—
537	C₂²⋊C₄×C₅₃	—	2	2	no	—
538	C₂²⋊C₄×C₅₃	—	2	2	no	—
539	C₂²⋊C₄×C₅₃	—	2	2	no	—
540	C₂²⋊C₄×C₅₃	—	2	2	no	—
541	C₂²⋊C₄×C₅₃	—	2	2	no	—
542	C₂²⋊C₄×C₅₃	—	2	2	no	—
543	C₂²⋊C₄×C₅₃	—	2	2	no	—
544	C₂²⋊C₄×C₅₃	—	2	2	no	—
545	C₂²⋊C₄×C₅₃	—	2	2	no	—
546	C₂²⋊C₄×C₅₃	—	2	2	no	—
547	C₂²⋊C₄×C₅₃	—	2	2	no	—
548	C₂²⋊C₄×C₅₃	—	2	2	no	—
549	C₂²⋊C₄×C₅₃	—	2	2	no	—
550	C₂²⋊C₄×C₅₃	—	2	2	no	—
551	C₂²⋊C₄×C₅₃	—	2	2	no	—
552	C₂²⋊C₄×C₅₃	—	2	2	no	—
553	C₂²⋊C₄×C₅₃	—	2	2	no	—
554	C₂²⋊C₄×C₅₃	—	2	2	no	—
555	C₂²⋊C₄×C₅₃	—	2	2	no	—
556	C₂²⋊C₄×C₅₃	—	2	2	no	—
557	C₂²⋊C₄×C₅₃	—	2	2	no	—
558	C₂²⋊C₄×C₅₃	—	2	2	no	—
559	C₂²⋊C₄×C₅₃	—	2	2	no	—
560	C₂²⋊C₄×C₅₃	—	2	2	no	—
561	C₂²⋊C₄×C₅₃	—	2	2	no	—
562	C₂²⋊C₄×C₅₃	—	2	2	no	—
563	C₂²⋊C₄×C₅₃	—	2	2	no	—
564	C₂²⋊C₄×C₅₃	—	2	2	no	—
565	C₂²⋊C₄×C₅₃	—	4	1	no	—
566	C₂²⋊C₄×C₅₃	—	4	1	no	—
567	C₂²⋊C₄×C₅₃	—	4	1	no	—
568	C₂²⋊C₄×C₅₃	—	4	1	no	—
569	C₂²⋊C₄×C₅₃	—	4	1	no	—
570	C₂²⋊C₄×C₅₃	—	4	1	no	—
571	C₂²⋊C₄×C₅₃	—	4	1	no	—
572	C₂²⋊C₄×C₅₃	—	4	1	no	—
573	C₂²⋊C₄×C₅₃	—	4	1	no	—
574	C₂²⋊C₄×C₅₃	—	4	1	no	—
575	C₂²⋊C₄×C₅₃	—	4	1	no	—
576	C₂²⋊C₄×C₅₃	—	4	1	no	—
577	C₂²⋊C₄×C₅₃	C₂×D₄	1	4	yes	—
578	C₂²⋊C₄×C₅₃	C₂×D₄	1	4	yes	—
579	C₂²⋊C₄×C₅₃	#41	1	4	yes	—
580	C₄²×C₅₃	—	2	2	no	—
581	C₄²×C₅₃	—	2	2	no	—
582	C₄²×C₅₃	—	2	2	no	—
583	C₄²×C₅₃	—	2	2	no	—
584	C₄²×C₅₃	—	2	2	no	—
585	C₄²×C₅₃	—	2	2	no	—
586	C₄²×C₅₃	—	2	2	no	—
587	C₄²×C₅₃	—	4	1	no	—
588	C₄²×C₅₃	—	4	1	no	—
589	C₄²×C₅₃	—	4	1	no	—
590	C₄²×C₅₃	—	4	1	no	—
591	C₄²×C₅₃	—	4	1	no	—
592	C₄²×C₅₃	—	4	1	no	—
593	C₄²×C₅₃	—	4	1	no	—
594	C₄²×C₅₃	C₂×D₄	1	4	yes	—
595	C₂³×C₅₃	—	2	1	no	—
596	C₂³×C₅₃	—	2	1	no	—
597	C₂³×C₅₃	—	2	1	no	—
598	C₂³×C₅₃	—	2	1	no	—
599	C₂³×C₅₃	—	2	1	no	—
600	C₂³×C₅₃	—	2	1	no	—
601	C₂³×C₅₃	—	2	1	no	—
602	C₂³×C₅₃	—	2	1	no	—
603	C₂³×C₅₃	—	2	1	no	—
604	C₂³×C₅₃	—	2	1	no	—
605	C₂³×C₅₃	—	2	1	no	—
606	C₂³×C₅₃	—	2	1	no	—
607	C₂³×C₅₃	—	2	1	no	—
608	C₂³×C₅₃	—	2	1	no	—
609	C₂³×C₅₃	—	2	1	no	—
610	C₂³×C₅₃	—	2	1	no	—
611	C₂³×C₅₃	—	2	1	no	—
612	C₂³×C₅₃	—	2	1	no	—
613	C₂³×C₅₃	—	2	1	no	—
614	C₂³×C₅₃	—	2	1	no	—
615	C₂³×C₅₃	—	2	1	no	—
616	C₂³×C₅₃	—	2	1	no	—
617	C₂³×C₅₃	—	2	1	no	—
618	C₂³×C₅₃	—	2	1	no	—
619	C₂³×C₅₃	—	2	1	no	—
620	C₂³×C₅₃	—	2	1	no	—
621	C₂³×C₅₃	—	2	1	no	—
622	C₂³×C₅₃	—	2	1	no	—
623	C₂³×C₅₃	—	2	1	no	—
624	C₂³×C₅₃	—	2	1	no	—
625	C₂³×C₅₃	—	2	1	no	—
626	C₂³×C₅₃	—	2	1	no	—
627	C₂³×C₅₃	—	2	1	no	—
628	C₂³×C₅₃	—	2	1	no	—
629	C₂³×C₅₃	—	2	1	no	—
630	C₂³×C₅₃	—	2	1	no	—
631	C₂³×C₅₃	—	2	1	no	—
632	C₂³×C₅₃	—	2	1	no	—
633	C₂³×C₅₃	—	4	4	no	—
634	C₂³×C₅₃	—	4	4	no	—
635	C₂³×C₅₃	—	4	4	no	—
636	C₂³×C₅₃	—	8	2	no	—
637	C₂³×C₅₃	—	8	2	no	—
638	C₂³×C₅₃	—	8	2	no	—
639	C₂³×C₅₃	—	8	2	no	—
640	C₂³×C₅₃	C₂²×D₄	1	2	yes	—
641	C₂³×C₅₃	C₂²×D₄	1	2	yes	—
642	C₂³×C₅₃	C₂×#41	1	2	yes	—
643	C₂³×C₅₃	C₂×#41	1	2	yes	—
644	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
645	Q₈×C₅₃	—	8	2	no	—
646	Q₈×C₅₃	—	8	2	no	—
647	D₄×C₅₃	—	2	8	no	—
648	D₄×C₅₃	—	4	4	no	—
649	D₄×C₅₃	—	4	4	no	—
650	D₄×C₅₃	—	4	4	no	—
651	D₄×C₅₃	—	8	2	no	—
652	D₄×C₅₃	—	8	2	no	—
653	D₄×C₅₃	—	8	2	no	—
654	D₄×C₅₃	—	8	2	no	—
655	D₄×C₅₃	—	8	2	no	—
656	D₄×C₅₃	—	8	2	no	—
657	D₄×C₅₃	—	8	2	no	—
658	D₄×C₅₃	—	8	2	no	—
659	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	—	2	1	no	—
708	C₂×C₄×C₅₃	—	2	1	no	—
709	C₂×C₄×C₅₃	—	2	1	no	—
710	C₂×C₄×C₅₃	—	2	1	no	—
711	C₂×C₄×C₅₃	—	2	1	no	—
712	C₂×C₄×C₅₃	—	2	1	no	—
713	C₂×C₄×C₅₃	—	2	1	no	—
714	C₂×C₄×C₅₃	—	2	1	no	—
715	C₂×C₄×C₅₃	—	2	1	no	—
716	C₂×C₄×C₅₃	—	2	1	no	—
717	C₂×C₄×C₅₃	—	2	1	no	—
718	C₂×C₄×C₅₃	—	2	1	no	—
719	C₂×C₄×C₅₃	—	2	1	no	—
720	C₂×C₄×C₅₃	—	2	1	no	—
721	C₂×C₄×C₅₃	—	2	1	no	—
722	C₂×C₄×C₅₃	—	2	1	no	—
723	C₂×C₄×C₅₃	—	2	1	no	—
724	C₂×C₄×C₅₃	—	4	4	no	—
725	C₂×C₄×C₅₃	—	4	4	no	—
726	C₂×C₄×C₅₃	—	4	4	no	—
727	C₂×C₄×C₅₃	—	4	4	no	—
728	C₂×C₄×C₅₃	—	4	4	no	—
729	C₂×C₄×C₅₃	—	4	4	no	—
730	C₂×C₄×C₅₃	—	4	4	no	—
731	C₂×C₄×C₅₃	—	8	2	no	—
732	C₂×C₄×C₅₃	—	8	2	no	—
733	C₂×C₄×C₅₃	—	8	2	no	—
734	C₂×C₄×C₅₃	—	8	2	no	—
735	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
736	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
737	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
738	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
739	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
740	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
741	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
742	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
743	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
744	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
745	#35009	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
746	C₂²×C₅₃	—	2	2	no	—
747	C₂²×C₅₃	—	2	2	no	—
748	C₂²×C₅₃	—	2	2	no	—
749	C₂²×C₅₃	—	2	2	no	—
750	C₂²×C₅₃	—	2	2	no	—
751	C₂²×C₅₃	—	2	2	no	—
752	C₂²×C₅₃	—	2	2	no	—
753	C₂²×C₅₃	—	2	2	no	—
754	C₂²×C₅₃	—	2	2	no	—
755	C₂²×C₅₃	—	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	—	4	1	no	—
769	C₂²×C₅₃	—	4	1	no	—
770	C₂²×C₅₃	—	4	1	no	—
771	C₂²×C₅₃	—	4	1	no	—
772	C₂²×C₅₃	—	4	1	no	—
773	C₂²×C₅₃	—	4	1	no	—
774	C₂²×C₅₃	—	4	1	no	—
775	C₂²×C₅₃	—	4	1	no	—
776	C₂²×C₅₃	—	4	1	no	—
777	C₂²×C₅₃	—	4	1	no	—
778	C₂²×C₅₃	—	4	1	no	—
779	C₂²×C₅₃	—	4	1	no	—
780	C₂²×C₅₃	—	4	1	no	—
781	C₂²×C₅₃	—	4	1	no	—
782	C₂²×C₅₃	—	4	1	no	—
783	C₂²×C₅₃	—	4	1	no	—
784	C₂²×C₅₃	—	4	1	no	—
785	C₂²×C₅₃	—	4	1	no	—
786	C₂²×C₅₃	—	4	1	no	—
787	C₂²×C₅₃	—	8	8	no	—
788	C₂²×C₅₃	#532	1	4	yes	—
789	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
790	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
791	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
792	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
793	C₂²×C₅₃	#585	1	1	yes	characteristic
794	C₂²×C₅₃	#585	1	1	yes	characteristic
795	C₂²×C₅₃	#585	1	1	yes	characteristic
796	C₄×C₅₃	—	2	2	no	—
797	C₄×C₅₃	—	2	2	no	—
798	C₄×C₅₃	—	2	2	no	—
799	C₄×C₅₃	—	2	2	no	—
800	C₄×C₅₃	—	2	2	no	—
801	C₄×C₅₃	—	2	2	no	—
802	C₄×C₅₃	—	2	2	no	—
803	C₄×C₅₃	—	2	2	no	—
804	C₄×C₅₃	—	2	2	no	—
805	C₄×C₅₃	—	2	2	no	—
806	C₄×C₅₃	—	4	1	no	—
807	C₄×C₅₃	—	4	1	no	—
808	C₄×C₅₃	—	4	1	no	—
809	C₄×C₅₃	—	4	1	no	—
810	C₄×C₅₃	—	4	1	no	—
811	C₄×C₅₃	—	4	1	no	—
812	C₄×C₅₃	—	4	1	no	—
813	C₄×C₅₃	—	4	1	no	—
814	C₄×C₅₃	—	4	1	no	—
815	C₄×C₅₃	—	4	1	no	—
816	C₄×C₅₃	—	4	1	no	—
817	C₄×C₅₃	—	4	1	no	—
818	C₄×C₅₃	—	4	1	no	—
819	C₄×C₅₃	—	4	1	no	—
820	C₄×C₅₃	—	4	1	no	—
821	C₂×#539	C₂×C₅₃	1	1	yes	characteristic, complemented
822	C₂×#538	C₂×C₅₃	1	1	yes	characteristic, complemented
823	#2861	C₂×C₅₃	1	1	yes	characteristic, complemented
824	#2860	C₂×C₅₃	1	1	yes	characteristic, complemented
825	#2854	C₂×C₅₃	1	1	yes	characteristic, complemented
826	#2850	C₂×C₅₃	1	1	yes	characteristic, complemented
827	#2664	C₂×C₅₃	1	1	yes	characteristic, complemented
828	#2663	C₂×C₅₃	1	1	yes	characteristic, complemented
829	#2662	C₂×C₅₃	1	1	yes	characteristic, complemented
830	#2661	C₂×C₅₃	1	1	yes	characteristic, complemented
831	#2560	C₂×C₅₃	1	1	yes	characteristic, complemented
832	#2559	C₂×C₅₃	1	1	yes	characteristic, complemented
833	#2558	C₂×C₅₃	1	1	yes	characteristic, complemented
834	#2557	C₂×C₅₃	1	1	yes	characteristic, complemented
835	#2549	C₂×C₅₃	1	1	yes	characteristic, complemented
836	#2543	C₂×C₅₃	1	1	yes	characteristic, complemented
837	#2539	C₂×C₅₃	1	1	yes	characteristic, complemented
838	#2534	C₂×C₅₃	1	1	yes	characteristic, complemented
839	#2521	C₂×C₅₃	1	1	yes	characteristic, complemented
840	#2519	C₂×C₅₃	1	1	yes	characteristic, complemented
841	#2488	C₂×C₅₃	1	1	yes	characteristic, complemented
842	#2472	C₂×C₅₃	1	1	yes	characteristic, complemented
843	#2464	C₂×C₅₃	1	1	yes	characteristic, complemented
844	#2461	C₂×C₅₃	1	1	yes	characteristic, complemented
845	#2425	C₂×C₅₃	1	1	yes	characteristic, complemented
846	#2424	C₂×C₅₃	1	1	yes	characteristic, complemented
847	#2322	C₂×C₅₃	1	1	yes	characteristic, complemented
848	#2321	C₂×C₅₃	1	1	yes	characteristic, complemented
849	C₄×#121	C₂×C₅₃	1	1	yes	characteristic, complemented
850	C₂×#388	C₂×C₅₃	1	1	yes	characteristic, complemented
851	C₄²×D₄	C₂×C₅₃	1	1	yes	characteristic, complemented
852	C₂×C₅₃	—	2	4	no	—
853	C₂×C₅₃	—	4	2	no	—
854	C₂×C₅₃	—	8	1	no	—
855	C₂×C₅₃	—	8	1	no	—
856	C₂×C₅₃	—	8	1	no	—
857	C₂×C₅₃	—	8	1	no	—
858	C₂×C₅₃	C₂×#532	1	1	yes	characteristic
859	C₂×C₅₃	#3455	1	1	yes	characteristic
860	C₂×C₅₃	#3459	1	1	yes	characteristic
861	C₂×C₅₃	#3496	1	1	yes	characteristic
862	C₂×C₅₃	#3500	1	1	yes	characteristic
863	C₂×C₅₃	#3513	1	1	yes	characteristic
864	C₂×C₅₃	#3521	1	1	yes	characteristic
865	#539	—	2	8	no	—
866	#538	—	2	8	no	—
867	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic
868	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic
869	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
870	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
871	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic, complemented
872	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic, complemented
873	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic
874	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic
875	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic
876	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
877	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
878	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
879	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
880	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
881	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
882	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
883	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic
884	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic
885	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
886	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
887	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
888	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
889	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
890	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
891	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
892	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
893	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
894	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
895	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
896	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
897	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
898	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
899	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
900	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
901	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
902	C₂²×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
903	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
904	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
905	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
906	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic
907	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic, complemented
908	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
909	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
910	#399	C₂²×C₅₃	1	1	yes	characteristic
911	#399	C₂²×C₅₃	1	1	yes	characteristic
912	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
913	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
914	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
915	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
916	#397	C₂²×C₅₃	1	1	yes	characteristic
917	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
918	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
919	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
920	#396	C₂²×C₅₃	1	1	yes	characteristic
921	#396	C₂²×C₅₃	1	1	yes	characteristic
922	#396	C₂²×C₅₃	1	1	yes	characteristic
923	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
924	#395	C₂²×C₅₃	1	1	yes	characteristic, complemented
925	#395	C₂²×C₅₃	1	1	yes	characteristic, complemented
926	#394	C₂²×C₅₃	1	1	yes	characteristic
927	#394	C₂²×C₅₃	1	1	yes	characteristic
928	#394	C₂²×C₅₃	1	1	yes	characteristic
929	#394	C₂²×C₅₃	1	1	yes	characteristic
930	#394	C₂²×C₅₃	1	1	yes	characteristic
931	#394	C₂²×C₅₃	1	1	yes	characteristic
932	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
933	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
934	#393	C₂²×C₅₃	1	1	yes	characteristic
935	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
936	#392	C₂²×C₅₃	1	1	yes	characteristic
937	#392	C₂²×C₅₃	1	1	yes	characteristic
938	#392	C₂²×C₅₃	1	1	yes	characteristic
939	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
940	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
941	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
942	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
943	#390	C₂²×C₅₃	1	1	yes	characteristic
944	#390	C₂²×C₅₃	1	1	yes	characteristic
945	#390	C₂²×C₅₃	1	1	yes	characteristic
946	#390	C₂²×C₅₃	1	1	yes	characteristic
947	#390	C₂²×C₅₃	1	1	yes	characteristic
948	#390	C₂²×C₅₃	1	1	yes	characteristic
949	#390	C₂²×C₅₃	1	1	yes	characteristic
950	#390	C₂²×C₅₃	1	1	yes	characteristic
951	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
952	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
953	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
954	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
956	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
957	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
958	#388	C₂²×C₅₃	1	1	yes	characteristic
959	#388	C₂²×C₅₃	1	1	yes	characteristic
960	#388	C₂²×C₅₃	1	1	yes	characteristic
961	#388	C₂²×C₅₃	1	1	yes	characteristic
962	#388	C₂²×C₅₃	1	1	yes	characteristic
963	#388	C₂²×C₅₃	1	1	yes	characteristic
964	#388	C₂²×C₅₃	1	1	yes	characteristic
965	#388	C₂²×C₅₃	1	1	yes	characteristic
966	#388	C₂²×C₅₃	1	1	yes	characteristic
967	#388	C₂²×C₅₃	1	1	yes	characteristic
968	#388	C₂²×C₅₃	1	1	yes	characteristic
969	#388	C₂²×C₅₃	1	1	yes	characteristic
970	#388	C₂²×C₅₃	1	1	yes	characteristic
971	#388	C₂²×C₅₃	1	1	yes	characteristic
972	#388	C₂²×C₅₃	1	1	yes	characteristic
973	#388	C₂²×C₅₃	1	1	yes	characteristic
974	#388	C₂²×C₅₃	1	1	yes	characteristic
975	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
976	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
977	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
978	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
979	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
980	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
981	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
982	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
983	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
984	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
985	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
986	#386	C₂²×C₅₃	1	1	yes	characteristic
987	#386	C₂²×C₅₃	1	1	yes	characteristic
988	#386	C₂²×C₅₃	1	1	yes	characteristic
989	#386	C₂²×C₅₃	1	1	yes	characteristic
990	#386	C₂²×C₅₃	1	1	yes	characteristic
991	#386	C₂²×C₅₃	1	1	yes	characteristic
992	#386	C₂²×C₅₃	1	1	yes	characteristic
993	#386	C₂²×C₅₃	1	1	yes	characteristic
994	#386	C₂²×C₅₃	1	1	yes	characteristic
995	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
996	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
997	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
998	#385	C₂²×C₅₃	1	1	yes	characteristic
999	#385	C₂²×C₅₃	1	1	yes	characteristic
1000	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1001	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1002	#382	C₂²×C₅₃	1	1	yes	characteristic, complemented
1003	#381	C₂²×C₅₃	1	1	yes	characteristic
1004	#380	C₂²×C₅₃	1	1	yes	characteristic
1005	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1006	#379	C₂²×C₅₃	1	1	yes	characteristic
1007	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1008	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1009	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1010	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1011	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
1012	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
1013	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
1014	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1015	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1016	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1017	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1018	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1019	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
1020	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic
1021	C₄³	C₂²×C₅₃	1	1	yes	characteristic, complemented
1022	C₅₃	#35009	1	1	yes	characteristic, direct product factor, Sylow
1023	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1024	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1025	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1026	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1027	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1028	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1029	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1030	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1031	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1032	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1033	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1034	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1035	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1036	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1037	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1038	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1039	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1040	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1041	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1042	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1043	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1044	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1045	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1046	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1047	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1048	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1049	#126	—	2	4	no	—
1050	#126	—	2	4	no	—
1051	#126	—	2	4	no	—
1052	#126	—	2	4	no	—
1053	#125	—	2	4	no	—
1054	#125	—	2	4	no	—
1055	#124	—	2	4	no	—
1056	#124	—	2	4	no	—
1057	#124	—	4	2	no	—
1058	#123	—	2	4	no	—
1059	#123	—	2	4	no	—
1060	#123	—	2	4	no	—
1061	#123	—	2	4	no	—
1062	#123	—	2	4	no	—
1063	#123	—	2	4	no	—
1064	#123	—	2	4	no	—
1065	C₂²⋊Q₈	—	2	4	no	—
1066	C₂²⋊Q₈	—	2	4	no	—
1067	C₂²⋊Q₈	—	2	4	no	—
1068	C₂²⋊Q₈	—	2	4	no	—
1069	#121	—	2	4	no	—
1070	#121	—	2	4	no	—
1071	#121	—	2	4	no	—
1072	#121	—	2	4	no	—
1073	#121	—	2	4	no	—
1074	#121	—	4	2	no	—
1075	#120	—	2	4	no	—
1076	#120	—	2	4	no	—
1077	#120	—	2	4	no	—
1078	C₄×D₄	—	2	4	no	—
1079	C₄×D₄	—	2	4	no	—
1080	C₄×D₄	—	2	4	no	—
1081	C₄×D₄	—	2	4	no	—
1082	C₄×D₄	—	4	2	no	—
1083	C₄×D₄	D₄×C₅₃	1	8	yes	complemented
1084	C₂×C₄⋊C₄	—	2	4	no	—
1085	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1086	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1087	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1089	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1090	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1091	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1098	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1099	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1103	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1104	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1106	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1107	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1108	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1109	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1110	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1111	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1112	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	—	2	4	no	—
1116	C₂×C₂²⋊C₄	—	2	4	no	—
1117	C₂×C₂²⋊C₄	—	4	2	no	—
1118	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1125	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1146	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1147	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1155	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1157	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1159	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1167	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1170	C₂×C₄²	—	4	2	no	—
1171	C₂×C₄²	—	4	2	no	—
1172	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1173	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1174	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1175	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1176	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1177	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1178	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1179	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1180	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1181	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1182	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1183	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1184	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1185	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1186	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1187	#95	C₂³×C₅₃	1	1	yes	characteristic
1188	#95	C₂³×C₅₃	1	1	yes	characteristic
1189	#95	C₂³×C₅₃	1	1	yes	characteristic
1190	#95	C₂³×C₅₃	1	1	yes	characteristic
1191	#95	C₂³×C₅₃	1	1	yes	characteristic
1192	#95	C₂³×C₅₃	1	1	yes	characteristic
1193	#95	C₂³×C₅₃	1	1	yes	characteristic
1194	#95	C₂³×C₅₃	1	1	yes	characteristic
1195	#95	C₂³×C₅₃	1	1	yes	characteristic
1196	#95	C₂³×C₅₃	1	1	yes	characteristic
1197	#95	C₂³×C₅₃	1	1	yes	characteristic
1198	#95	C₂³×C₅₃	1	1	yes	characteristic
1199	#95	C₂³×C₅₃	1	1	yes	characteristic
1200	#95	C₂³×C₅₃	1	1	yes	characteristic
1201	#95	C₂³×C₅₃	1	1	yes	characteristic
1202	#95	C₂³×C₅₃	1	1	yes	characteristic
1203	#95	C₂³×C₅₃	1	1	yes	characteristic
1204	#95	C₂³×C₅₃	1	1	yes	characteristic
1205	#95	C₂³×C₅₃	1	1	yes	characteristic
1206	#95	C₂³×C₅₃	1	1	yes	characteristic
1207	#95	C₂³×C₅₃	1	1	yes	characteristic
1208	#95	C₂³×C₅₃	1	1	yes	characteristic
1209	#95	C₂³×C₅₃	1	1	yes	characteristic
1210	#95	C₂³×C₅₃	1	1	yes	characteristic
1211	#95	C₂³×C₅₃	1	1	yes	characteristic
1212	#95	C₂³×C₅₃	1	1	yes	characteristic
1213	#95	C₂³×C₅₃	1	1	yes	characteristic
1214	#95	C₂³×C₅₃	1	1	yes	characteristic
1215	#95	C₂³×C₅₃	1	1	yes	characteristic
1216	#95	C₂³×C₅₃	1	1	yes	characteristic
1217	#95	C₂³×C₅₃	1	1	yes	characteristic
1218	#95	C₂³×C₅₃	1	1	yes	characteristic
1219	C₂⁴	—	2	2	no	—
1220	C₂⁴	—	2	2	no	—
1221	C₂⁴	—	2	2	no	—
1222	C₂⁴	—	4	1	no	—
1223	C₂⁴	—	4	1	no	—
1224	C₂⁴	—	4	1	no	—
1225	C₂⁴	—	4	1	no	—
1226	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1227	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1228	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1229	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1230	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1231	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1232	C₂×Q₈	—	2	2	no	—
1233	C₂×Q₈	—	2	2	no	—
1234	C₂×Q₈	—	4	1	no	—
1235	C₂×Q₈	—	4	1	no	—
1236	C₂×Q₈	—	4	1	no	—
1237	C₂×Q₈	—	4	1	no	—
1238	C₂×D₄	—	2	2	no	—
1239	C₂×D₄	—	2	2	no	—
1240	C₂×D₄	—	2	2	no	—
1241	C₂×D₄	—	2	2	no	—
1242	C₂×D₄	—	2	2	no	—
1243	C₂×D₄	—	2	2	no	—
1244	C₂×D₄	—	2	2	no	—
1245	C₂×D₄	—	2	2	no	—
1246	C₂×D₄	—	2	2	no	—
1247	C₂×D₄	—	2	2	no	—
1248	C₂×D₄	—	2	2	no	—
1249	C₂×D₄	—	2	2	no	—
1250	C₂×D₄	—	2	2	no	—
1251	C₂×D₄	—	2	2	no	—
1252	C₂×D₄	—	2	2	no	—
1253	C₂×D₄	—	2	2	no	—
1254	C₂×D₄	—	2	2	no	—
1255	C₂×D₄	—	4	1	no	—
1256	C₂×D₄	—	4	1	no	—
1257	C₂×D₄	—	4	1	no	—
1258	C₂×D₄	—	4	1	no	—
1259	C₂×D₄	—	4	1	no	—
1260	C₂×D₄	—	4	1	no	—
1261	C₂×D₄	—	4	1	no	—
1262	C₂×D₄	—	4	1	no	—
1263	C₂×D₄	—	4	1	no	—
1264	C₂×D₄	—	4	1	no	—
1265	C₂×D₄	—	4	1	no	—
1266	C₂×D₄	—	4	1	no	—
1267	C₂×D₄	—	4	1	no	—
1268	C₂×D₄	—	4	1	no	—
1269	C₂×D₄	—	4	1	no	—
1270	C₂×D₄	—	4	1	no	—
1271	C₂×D₄	—	4	1	no	—
1272	C₂×D₄	—	4	1	no	—
1273	C₂×D₄	C₂×D₄×C₅₃	1	4	yes	—
1274	C₂²×C₄	—	2	2	no	—
1275	C₂²×C₄	—	2	2	no	—
1276	C₂²×C₄	—	2	2	no	—
1277	C₂²×C₄	—	2	2	no	—
1278	C₂²×C₄	—	2	2	no	—
1279	C₂²×C₄	—	2	2	no	—
1280	C₂²×C₄	—	2	2	no	—
1281	C₂²×C₄	—	2	2	no	—
1282	C₂²×C₄	—	2	2	no	—
1283	C₂²×C₄	—	2	2	no	—
1284	C₂²×C₄	—	2	2	no	—
1285	C₂²×C₄	—	2	2	no	—
1286	C₂²×C₄	—	4	1	no	—
1287	C₂²×C₄	—	4	1	no	—
1288	C₂²×C₄	—	4	1	no	—
1289	C₂²×C₄	—	4	1	no	—
1290	C₂²×C₄	—	4	1	no	—
1291	C₂²×C₄	—	4	1	no	—
1292	C₂²×C₄	—	4	1	no	—
1293	C₂²×C₄	—	4	1	no	—
1294	C₂²×C₄	—	4	1	no	—
1295	C₂²×C₄	—	4	1	no	—
1296	C₂²×C₄	—	4	1	no	—
1297	C₂²×C₄	—	4	1	no	—
1298	C₂²×C₄	—	4	1	no	—
1299	C₂²×C₄	—	4	1	no	—
1300	C₂²×C₄	—	4	1	no	—
1301	C₂²×C₄	—	4	1	no	—
1302	C₂²×C₄	—	4	1	no	—
1303	C₂²×C₄	—	4	1	no	—
1304	C₂²×C₄	C₂×D₄×C₅₃	1	4	yes	—
1305	C₂²×C₄	C₂×D₄×C₅₃	1	4	yes	—
1306	C₂²×C₄	#41×C₅₃	1	4	yes	—
1307	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1308	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1309	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1310	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1311	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1315	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1318	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1320	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1321	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1322	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1323	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1324	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1325	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1326	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1329	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1330	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1332	C₄⋊C₄	—	2	2	no	—
1333	C₄⋊C₄	—	2	2	no	—
1334	C₄⋊C₄	—	2	2	no	—
1335	C₄⋊C₄	—	2	2	no	—
1336	C₄⋊C₄	—	2	2	no	—
1337	C₄⋊C₄	—	2	2	no	—
1338	C₄⋊C₄	—	2	2	no	—
1339	C₄⋊C₄	—	2	2	no	—
1340	C₄⋊C₄	—	2	2	no	—
1341	C₄⋊C₄	—	2	2	no	—
1342	C₄⋊C₄	—	2	2	no	—
1343	C₄⋊C₄	—	2	2	no	—
1344	C₄⋊C₄	—	2	2	no	—
1345	C₄⋊C₄	—	2	2	no	—
1346	C₄⋊C₄	—	2	2	no	—
1347	C₄⋊C₄	—	2	2	no	—
1348	C₄⋊C₄	—	2	2	no	—
1349	C₄⋊C₄	—	2	2	no	—
1350	C₄⋊C₄	—	2	2	no	—
1351	C₄⋊C₄	—	2	2	no	—
1352	C₄⋊C₄	—	2	2	no	—
1353	C₄⋊C₄	—	2	2	no	—
1354	C₄⋊C₄	—	2	2	no	—
1355	C₄⋊C₄	—	4	1	no	—
1356	C₄⋊C₄	—	4	1	no	—
1357	C₄⋊C₄	—	4	1	no	—
1358	C₄⋊C₄	—	4	1	no	—
1359	C₄⋊C₄	—	4	1	no	—
1360	C₄⋊C₄	—	4	1	no	—
1361	C₄⋊C₄	C₂×D₄×C₅₃	1	4	yes	—
1362	C₂²⋊C₄	—	2	2	no	—
1363	C₂²⋊C₄	—	2	2	no	—
1364	C₂²⋊C₄	—	2	2	no	—
1365	C₂²⋊C₄	—	2	2	no	—
1366	C₂²⋊C₄	—	2	2	no	—
1367	C₂²⋊C₄	—	2	2	no	—
1368	C₂²⋊C₄	—	2	2	no	—
1369	C₂²⋊C₄	—	2	2	no	—
1370	C₂²⋊C₄	—	2	2	no	—
1371	C₂²⋊C₄	—	2	2	no	—
1372	C₂²⋊C₄	—	2	2	no	—
1373	C₂²⋊C₄	—	2	2	no	—
1374	C₂²⋊C₄	—	2	2	no	—
1375	C₂²⋊C₄	—	2	2	no	—
1376	C₂²⋊C₄	—	2	2	no	—
1377	C₂²⋊C₄	—	2	2	no	—
1378	C₂²⋊C₄	—	2	2	no	—
1379	C₂²⋊C₄	—	2	2	no	—
1380	C₂²⋊C₄	—	2	2	no	—
1381	C₂²⋊C₄	—	2	2	no	—
1382	C₂²⋊C₄	—	2	2	no	—
1383	C₂²⋊C₄	—	2	2	no	—
1384	C₂²⋊C₄	—	2	2	no	—
1385	C₂²⋊C₄	—	2	2	no	—
1386	C₂²⋊C₄	—	2	2	no	—
1387	C₂²⋊C₄	—	2	2	no	—
1388	C₂²⋊C₄	—	2	2	no	—
1389	C₂²⋊C₄	—	2	2	no	—
1390	C₂²⋊C₄	—	2	2	no	—
1391	C₂²⋊C₄	—	2	2	no	—
1392	C₂²⋊C₄	—	2	2	no	—
1393	C₂²⋊C₄	—	2	2	no	—
1394	C₂²⋊C₄	—	2	2	no	—
1395	C₂²⋊C₄	—	2	2	no	—
1396	C₂²⋊C₄	—	2	2	no	—
1397	C₂²⋊C₄	—	2	2	no	—
1398	C₂²⋊C₄	—	2	2	no	—
1399	C₂²⋊C₄	—	4	1	no	—
1400	C₂²⋊C₄	—	4	1	no	—
1401	C₂²⋊C₄	—	4	1	no	—
1402	C₂²⋊C₄	—	4	1	no	—
1403	C₂²⋊C₄	—	4	1	no	—
1404	C₂²⋊C₄	—	4	1	no	—
1405	C₂²⋊C₄	—	4	1	no	—
1406	C₂²⋊C₄	—	4	1	no	—
1407	C₂²⋊C₄	—	4	1	no	—
1408	C₂²⋊C₄	—	4	1	no	—
1409	C₂²⋊C₄	—	4	1	no	—
1410	C₂²⋊C₄	—	4	1	no	—
1411	C₂²⋊C₄	C₂×D₄×C₅₃	1	4	yes	—
1412	C₂²⋊C₄	C₂×D₄×C₅₃	1	4	yes	—
1413	C₂²⋊C₄	#41×C₅₃	1	4	yes	—
1414	C₄²	—	2	2	no	—
1415	C₄²	—	2	2	no	—
1416	C₄²	—	2	2	no	—
1417	C₄²	—	2	2	no	—
1418	C₄²	—	2	2	no	—
1419	C₄²	—	2	2	no	—
1420	C₄²	—	2	2	no	—
1421	C₄²	—	4	1	no	—
1422	C₄²	—	4	1	no	—
1423	C₄²	—	4	1	no	—
1424	C₄²	—	4	1	no	—
1425	C₄²	—	4	1	no	—
1426	C₄²	—	4	1	no	—
1427	C₄²	—	4	1	no	—
1428	C₄²	C₂×D₄×C₅₃	1	4	yes	—
1429	C₂³	—	2	1	no	—
1430	C₂³	—	2	1	no	—
1431	C₂³	—	2	1	no	—
1432	C₂³	—	2	1	no	—
1433	C₂³	—	2	1	no	—
1434	C₂³	—	2	1	no	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	2	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	2	1	no	—
1458	C₂³	—	2	1	no	—
1459	C₂³	—	2	1	no	—
1460	C₂³	—	2	1	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	2	1	no	—
1467	C₂³	—	4	4	no	—
1468	C₂³	—	4	4	no	—
1469	C₂³	—	4	4	no	—
1470	C₂³	—	8	2	no	—
1471	C₂³	—	8	2	no	—
1472	C₂³	—	8	2	no	—
1473	C₂³	—	8	2	no	—
1474	C₂³	C₂²×D₄×C₅₃	1	2	yes	—
1475	C₂³	C₂²×D₄×C₅₃	1	2	yes	—
1476	C₂³	C₂×#41×C₅₃	1	2	yes	—
1477	C₂³	C₂×#41×C₅₃	1	2	yes	—
1478	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1479	Q₈	—	8	2	no	—
1480	Q₈	—	8	2	no	—
1481	D₄	—	2	8	no	—
1482	D₄	—	4	4	no	—
1483	D₄	—	4	4	no	—
1484	D₄	—	4	4	no	—
1485	D₄	—	8	2	no	—
1486	D₄	—	8	2	no	—
1487	D₄	—	8	2	no	—
1488	D₄	—	8	2	no	—
1489	D₄	—	8	2	no	—
1490	D₄	—	8	2	no	—
1491	D₄	—	8	2	no	—
1492	D₄	—	8	2	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	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	4	4	no	—
1559	C₂×C₄	—	4	4	no	—
1560	C₂×C₄	—	4	4	no	—
1561	C₂×C₄	—	4	4	no	—
1562	C₂×C₄	—	4	4	no	—
1563	C₂×C₄	—	4	4	no	—
1564	C₂×C₄	—	4	4	no	—
1565	C₂×C₄	—	8	2	no	—
1566	C₂×C₄	—	8	2	no	—
1567	C₂×C₄	—	8	2	no	—
1568	C₂×C₄	—	8	2	no	—
1569	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1570	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1571	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1572	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1573	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1574	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1575	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1576	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1577	C₂×C₄	C₂×#41×C₅₃	1	2	yes	—
1578	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	2	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	2	2	no	—
1584	C₂²	—	2	2	no	—
1585	C₂²	—	2	2	no	—
1586	C₂²	—	2	2	no	—
1587	C₂²	—	2	2	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	8	8	no	—
1621	C₂²	C₅₃×#532	1	4	yes	—
1622	C₂²	C₂³×D₄×C₅₃	1	1	yes	characteristic
1623	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1624	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1625	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1626	C₂²	C₅₃×#585	1	1	yes	characteristic
1627	C₂²	C₅₃×#585	1	1	yes	characteristic
1628	C₂²	C₅₃×#585	1	1	yes	characteristic
1629	C₄	—	2	2	no	—
1630	C₄	—	2	2	no	—
1631	C₄	—	2	2	no	—
1632	C₄	—	2	2	no	—
1633	C₄	—	2	2	no	—
1634	C₄	—	2	2	no	—
1635	C₄	—	2	2	no	—
1636	C₄	—	2	2	no	—
1637	C₄	—	2	2	no	—
1638	C₄	—	2	2	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₂	—	2	4	no	—
1655	C₂	—	4	2	no	—
1656	C₂	—	8	1	no	—
1657	C₂	—	8	1	no	—
1658	C₂	—	8	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	C₂×C₅₃×#532	1	1	yes	characteristic
1661	C₂	C₅₃×#3455	1	1	yes	characteristic
1662	C₂	C₅₃×#3459	1	1	yes	characteristic
1663	C₂	C₅₃×#3496	1	1	yes	characteristic
1664	C₂	C₅₃×#3500	1	1	yes	characteristic
1665	C₂	C₅₃×#3513	1	1	yes	characteristic
1666	C₂	C₅₃×#3521	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. C₂×C₅₃×#539	C₂	semidirect
2. C₂×C₅₃×#538	C₂	semidirect
3. C₅₃×#2861	C₂	semidirect
4. C₅₃×#2860	C₂	semidirect
5. C₅₃×#2854	C₂	semidirect
6. C₅₃×#2850	C₂	semidirect
7. C₅₃×#2664	C₂	semidirect
8. C₅₃×#2663	C₂	semidirect
9. C₅₃×#2662	C₂	semidirect
10. C₅₃×#2661	C₂	semidirect
11. C₅₃×#2560	C₂	semidirect
12. C₅₃×#2559	C₂	semidirect
13. C₅₃×#2558	C₂	semidirect
14. C₅₃×#2557	C₂	semidirect
15. C₅₃×#2549	C₂	semidirect
16. C₅₃×#2543	C₂	semidirect
17. C₅₃×#2539	C₂	semidirect
18. C₅₃×#2534	C₂	semidirect
19. C₅₃×#2521	C₂	semidirect
20. C₅₃×#2519	C₂	semidirect
21. C₅₃×#2488	C₂	semidirect
22. C₅₃×#2472	C₂	semidirect
23. C₅₃×#2464	C₂	semidirect
24. C₅₃×#2461	C₂	semidirect
25. C₅₃×#2425	C₂	semidirect
26. C₅₃×#2424	C₂	semidirect
27. C₅₃×#2322	C₂	semidirect
28. C₅₃×#2321	C₂	semidirect
29. C₄×#121×C₅₃	C₂	semidirect
30. C₂×C₅₃×#388	C₂	semidirect
31. C₄²×D₄×C₅₃	C₂	semidirect
36. C₂×#126×C₅₃	C₂²	semidirect
37. C₂×#126×C₅₃	C₂²	semidirect
38. C₂×#125×C₅₃	C₂²	semidirect
39. C₂×#125×C₅₃	C₂²	semidirect
48. C₂×#123×C₅₃	C₂²	semidirect
49. C₂×#123×C₅₃	C₂²	semidirect
52. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
53. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
68. C₂×C₄×D₄×C₅₃	C₂²	semidirect
74. C₂²×C₄²×C₅₃	C₂²	semidirect
75. C₅₃×#400	C₂²	semidirect
76. C₅₃×#400	C₂²	semidirect
79. C₅₃×#398	C₂²	semidirect
80. C₅₃×#398	C₂²	semidirect
81. C₅₃×#398	C₂²	semidirect
82. C₅₃×#398	C₂²	semidirect
84. C₅₃×#397	C₂²	semidirect
85. C₅₃×#397	C₂²	semidirect
86. C₅₃×#397	C₂²	semidirect
90. C₅₃×#396	C₂²	semidirect
91. C₅₃×#395	C₂²	semidirect
92. C₅₃×#395	C₂²	semidirect
99. C₅₃×#394	C₂²	semidirect
100. C₅₃×#394	C₂²	semidirect
102. C₅₃×#393	C₂²	semidirect
106. C₅₃×#392	C₂²	semidirect
107. C₅₃×#391	C₂²	semidirect
108. C₅₃×#391	C₂²	semidirect
109. C₅₃×#391	C₂²	semidirect
118. C₅₃×#390	C₂²	semidirect
119. C₅₃×#389	C₂²	semidirect
120. C₅₃×#389	C₂²	semidirect
121. C₅₃×#389	C₂²	semidirect
122. C₅₃×#389	C₂²	semidirect
123. C₅₃×#389	C₂²	semidirect
124. C₅₃×#389	C₂²	semidirect
142. C₅₃×#388	C₂²	semidirect
143. C₅₃×#388	C₂²	semidirect
144. C₅₃×#388	C₂²	semidirect
145. C₅₃×#388	C₂²	semidirect
146. C₅₃×#388	C₂²	semidirect
147. C₅₃×#388	C₂²	semidirect
148. C₅₃×#388	C₂²	semidirect
149. C₅₃×#388	C₂²	semidirect
150. C₅₃×#388	C₂²	semidirect
151. C₅₃×#387	C₂²	semidirect
152. C₅₃×#387	C₂²	semidirect
162. C₅₃×#386	C₂²	semidirect
163. C₅₃×#386	C₂²	semidirect
164. C₅₃×#386	C₂²	semidirect
167. C₅₃×#385	C₂²	semidirect
168. C₅₃×#385	C₂²	semidirect
169. C₅₃×#382	C₂²	semidirect
172. C₅₃×#380	C₂²	semidirect
174. C₄×C₄⋊C₄×C₅₃	C₂²	semidirect
175. C₄×C₄⋊C₄×C₅₃	C₂²	semidirect
176. C₄×C₄⋊C₄×C₅₃	C₂²	semidirect
177. C₄×C₄⋊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
185. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
188. C₄³×C₅₃	C₂²	semidirect
249. C₄×D₄×C₅₃	D₄	semidirect
745. #35009	C₅₃	direct (N × H)
821. C₂×#539	C₂×C₅₃	semidirect
822. C₂×#538	C₂×C₅₃	semidirect
823. #2861	C₂×C₅₃	semidirect
824. #2860	C₂×C₅₃	semidirect
825. #2854	C₂×C₅₃	semidirect
826. #2850	C₂×C₅₃	semidirect
827. #2664	C₂×C₅₃	semidirect
828. #2663	C₂×C₅₃	semidirect
829. #2662	C₂×C₅₃	semidirect
830. #2661	C₂×C₅₃	semidirect
831. #2560	C₂×C₅₃	semidirect
832. #2559	C₂×C₅₃	semidirect
833. #2558	C₂×C₅₃	semidirect
834. #2557	C₂×C₅₃	semidirect
835. #2549	C₂×C₅₃	semidirect
836. #2543	C₂×C₅₃	semidirect
837. #2539	C₂×C₅₃	semidirect
838. #2534	C₂×C₅₃	semidirect
839. #2521	C₂×C₅₃	semidirect
840. #2519	C₂×C₅₃	semidirect
841. #2488	C₂×C₅₃	semidirect
842. #2472	C₂×C₅₃	semidirect
843. #2464	C₂×C₅₃	semidirect
844. #2461	C₂×C₅₃	semidirect
845. #2425	C₂×C₅₃	semidirect
846. #2424	C₂×C₅₃	semidirect
847. #2322	C₂×C₅₃	semidirect
848. #2321	C₂×C₅₃	semidirect
849. C₄×#121	C₂×C₅₃	semidirect
850. C₂×#388	C₂×C₅₃	semidirect
851. C₄²×D₄	C₂×C₅₃	semidirect
869. C₂×#126	C₂²×C₅₃	semidirect
870. C₂×#126	C₂²×C₅₃	semidirect
871. C₂×#125	C₂²×C₅₃	semidirect
872. C₂×#125	C₂²×C₅₃	semidirect
881. C₂×#123	C₂²×C₅₃	semidirect
882. C₂×#123	C₂²×C₅₃	semidirect
885. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
886. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
901. C₂×C₄×D₄	C₂²×C₅₃	semidirect
907. C₂²×C₄²	C₂²×C₅₃	semidirect
908. #400	C₂²×C₅₃	semidirect
909. #400	C₂²×C₅₃	semidirect
912. #398	C₂²×C₅₃	semidirect
913. #398	C₂²×C₅₃	semidirect
914. #398	C₂²×C₅₃	semidirect
915. #398	C₂²×C₅₃	semidirect
917. #397	C₂²×C₅₃	semidirect
918. #397	C₂²×C₅₃	semidirect
919. #397	C₂²×C₅₃	semidirect
923. #396	C₂²×C₅₃	semidirect
924. #395	C₂²×C₅₃	semidirect
925. #395	C₂²×C₅₃	semidirect
932. #394	C₂²×C₅₃	semidirect
933. #394	C₂²×C₅₃	semidirect
935. #393	C₂²×C₅₃	semidirect
939. #392	C₂²×C₅₃	semidirect
940. #391	C₂²×C₅₃	semidirect
941. #391	C₂²×C₅₃	semidirect
942. #391	C₂²×C₅₃	semidirect
951. #390	C₂²×C₅₃	semidirect
952. #389	C₂²×C₅₃	semidirect
953. #389	C₂²×C₅₃	semidirect
954. #389	C₂²×C₅₃	semidirect
955. #389	C₂²×C₅₃	semidirect
956. #389	C₂²×C₅₃	semidirect
957. #389	C₂²×C₅₃	semidirect
975. #388	C₂²×C₅₃	semidirect
976. #388	C₂²×C₅₃	semidirect
977. #388	C₂²×C₅₃	semidirect
978. #388	C₂²×C₅₃	semidirect
979. #388	C₂²×C₅₃	semidirect
980. #388	C₂²×C₅₃	semidirect
981. #388	C₂²×C₅₃	semidirect
982. #388	C₂²×C₅₃	semidirect
983. #388	C₂²×C₅₃	semidirect
984. #387	C₂²×C₅₃	semidirect
985. #387	C₂²×C₅₃	semidirect
995. #386	C₂²×C₅₃	semidirect
996. #386	C₂²×C₅₃	semidirect
997. #386	C₂²×C₅₃	semidirect
1000. #385	C₂²×C₅₃	semidirect
1001. #385	C₂²×C₅₃	semidirect
1002. #382	C₂²×C₅₃	semidirect
1005. #380	C₂²×C₅₃	semidirect
1007. C₄×C₄⋊C₄	C₂²×C₅₃	semidirect
1008. C₄×C₄⋊C₄	C₂²×C₅₃	semidirect
1009. C₄×C₄⋊C₄	C₂²×C₅₃	semidirect
1010. C₄×C₄⋊C₄	C₂²×C₅₃	semidirect
1014. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
1015. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
1016. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
1017. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
1018. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
1021. C₄³	C₂²×C₅₃	semidirect
1022. C₅₃	#35009	direct (N × H)
1083. C₄×D₄	D₄×C₅₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅₃×#539	2
C₂×C₅₃×#538	2
C₅₃×#2861	2
C₅₃×#2860	2
C₅₃×#2854	2
C₅₃×#2850	2
C₅₃×#2664	2
C₅₃×#2663	2
C₅₃×#2662	2
C₅₃×#2661	2
C₅₃×#2560	2
C₅₃×#2559	2
C₅₃×#2558	2
C₅₃×#2557	2
C₅₃×#2549	2
C₅₃×#2543	2
C₅₃×#2539	2
C₅₃×#2534	2
C₅₃×#2521	2
C₅₃×#2519	2
C₅₃×#2488	2
C₅₃×#2472	2
C₅₃×#2464	2
C₅₃×#2461	2
C₅₃×#2425	2
C₅₃×#2424	2
C₅₃×#2322	2
C₅₃×#2321	2
C₄×#121×C₅₃	2
C₂×C₅₃×#388	2
C₄²×D₄×C₅₃	2
#35009	53

Subgroups — C53×#35009 #27242521

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#35009 #27242521