Subgroups — C₅₃×#36724 #27244236

Order 13568.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅₃×#525	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×#2705	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2702	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2700	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2699	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2687	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2682	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2681	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2681	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2679	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2672	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2670	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2669	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2669	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2635	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2630	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#2610	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#2603	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#2601	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2600	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2544	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#2534	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#2407	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#2404	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2319	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, complemented
34	C₅₃×#538	—	2	8	no	—
35	C₂×#127×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×#124×C₅₃	C₂²	1	1	yes	characteristic
39	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₅₃×#525	—	2	8	no	—
42	C₂×#123×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, complemented
47	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
52	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
53	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
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, complemented
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×#120×C₅₃	C₂²	1	1	yes	characteristic
64	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
65	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
66	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
67	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
68	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
69	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
71	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
72	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
75	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
76	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
77	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
78	C₅₃×#399	C₂²	1	1	yes	characteristic, complemented
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×#397	C₂²	1	1	yes	characteristic, complemented
83	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
84	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
85	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
86	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
88	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
89	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
90	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
91	C₅₃×#395	C₂²	1	1	yes	characteristic, complemented
92	C₅₃×#394	C₂²	1	1	yes	characteristic
93	C₅₃×#394	C₂²	1	1	yes	characteristic
94	C₅₃×#394	C₂²	1	1	yes	characteristic
95	C₅₃×#394	C₂²	1	1	yes	characteristic
96	C₅₃×#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
100	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
101	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
102	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
103	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
104	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
105	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
106	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
107	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
111	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
112	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
113	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
114	C₅₃×#392	C₂²	1	1	yes	characteristic
115	C₅₃×#392	C₂²	1	1	yes	characteristic
116	C₅₃×#392	C₂²	1	1	yes	characteristic
117	C₅₃×#392	C₂²	1	1	yes	characteristic
118	C₅₃×#392	C₂²	1	1	yes	characteristic
119	C₅₃×#392	C₂²	1	1	yes	characteristic
120	C₅₃×#392	C₂²	1	1	yes	characteristic
121	C₅₃×#392	C₂²	1	1	yes	characteristic
122	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
124	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
125	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
126	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
127	C₅₃×#390	C₂²	1	1	yes	characteristic
128	C₅₃×#390	C₂²	1	1	yes	characteristic
129	C₅₃×#390	C₂²	1	1	yes	characteristic
130	C₅₃×#390	C₂²	1	1	yes	characteristic
131	C₅₃×#390	C₂²	1	1	yes	characteristic
132	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
133	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
134	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
135	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
136	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
137	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
138	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
139	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
140	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
141	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
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×#388	C₂²	1	1	yes	characteristic, complemented
152	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
153	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
154	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
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
163	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
164	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
165	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
166	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
168	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
169	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
170	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
171	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
172	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
174	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
175	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
186	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
188	C₅₃×#376	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
190	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
191	C₂×#41×C₅₃	—	2	4	no	—
192	C₂×#41×C₅₃	—	4	2	no	—
193	C₂×#41×C₅₃	—	4	2	no	—
194	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
195	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
216	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
217	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₅₃	—	2	4	no	—
219	C₂³×C₄×C₅₃	—	4	2	no	—
220	C₂³×C₄×C₅₃	—	4	2	no	—
221	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
231	#127×C₅₃	—	4	2	no	—
232	#126×C₅₃	—	2	4	no	—
233	#126×C₅₃	—	2	4	no	—
234	#124×C₅₃	—	2	4	no	—
235	#124×C₅₃	—	2	4	no	—
236	#124×C₅₃	—	4	2	no	—
237	#123×C₅₃	—	2	4	no	—
238	#123×C₅₃	—	2	4	no	—
239	#123×C₅₃	—	2	4	no	—
240	#123×C₅₃	—	2	4	no	—
241	#123×C₅₃	—	4	2	no	—
242	#123×C₅₃	—	4	2	no	—
243	C₂²⋊Q₈×C₅₃	—	2	4	no	—
244	C₂²⋊Q₈×C₅₃	—	2	4	no	—
245	C₂²⋊Q₈×C₅₃	—	2	4	no	—
246	C₂²⋊Q₈×C₅₃	—	4	2	no	—
247	#121×C₅₃	—	2	4	no	—
248	#121×C₅₃	—	2	4	no	—
249	#121×C₅₃	—	2	4	no	—
250	#121×C₅₃	—	2	4	no	—
251	#121×C₅₃	—	2	4	no	—
252	#121×C₅₃	—	4	2	no	—
253	#121×C₅₃	—	4	2	no	—
254	#121×C₅₃	—	4	2	no	—
255	#120×C₅₃	—	2	4	no	—
256	#120×C₅₃	—	2	4	no	—
257	#120×C₅₃	—	2	4	no	—
258	#120×C₅₃	—	2	4	no	—
259	#120×C₅₃	—	4	2	no	—
260	#120×C₅₃	—	4	2	no	—
261	#120×C₅₃	—	4	2	no	—
262	#120×C₅₃	—	4	2	no	—
263	#120×C₅₃	—	4	2	no	—
264	#120×C₅₃	—	4	2	no	—
265	C₄×D₄×C₅₃	—	2	4	no	—
266	C₄×D₄×C₅₃	—	2	4	no	—
267	C₄×D₄×C₅₃	—	2	4	no	—
268	C₄×D₄×C₅₃	—	2	4	no	—
269	C₄×D₄×C₅₃	D₄	1	8	yes	complemented
270	#117×C₅₃	—	2	4	no	—
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×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₅₃	—	2	4	no	—
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×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
362	C₂×C₄²×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	#95×C₅₃	C₂³	1	1	yes	characteristic
386	#95×C₅₃	C₂³	1	1	yes	characteristic
387	#95×C₅₃	C₂³	1	1	yes	characteristic
388	#95×C₅₃	C₂³	1	1	yes	characteristic
389	#95×C₅₃	C₂³	1	1	yes	characteristic
390	#95×C₅₃	C₂³	1	1	yes	characteristic
391	C₂⁴×C₅₃	—	2	2	no	—
392	C₂⁴×C₅₃	—	2	2	no	—
393	C₂⁴×C₅₃	—	2	2	no	—
394	C₂⁴×C₅₃	—	2	2	no	—
395	C₂⁴×C₅₃	—	4	1	no	—
396	C₂⁴×C₅₃	—	4	1	no	—
397	C₂⁴×C₅₃	—	4	1	no	—
398	C₂⁴×C₅₃	—	4	1	no	—
399	C₂⁴×C₅₃	—	4	1	no	—
400	C₂⁴×C₅₃	—	4	1	no	—
401	C₂⁴×C₅₃	—	4	1	no	—
402	C₂⁴×C₅₃	—	4	1	no	—
403	C₂⁴×C₅₃	—	4	1	no	—
404	C₂⁴×C₅₃	—	4	1	no	—
405	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
406	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
407	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
408	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
409	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
410	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
411	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
412	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
413	#41×C₅₃	—	4	16	no	—
414	C₂×Q₈×C₅₃	—	2	2	no	—
415	C₂×Q₈×C₅₃	—	2	2	no	—
416	C₂×Q₈×C₅₃	—	2	2	no	—
417	C₂×Q₈×C₅₃	—	4	1	no	—
418	C₂×Q₈×C₅₃	—	4	1	no	—
419	C₂×Q₈×C₅₃	—	4	1	no	—
420	C₂×D₄×C₅₃	—	2	2	no	—
421	C₂×D₄×C₅₃	—	2	2	no	—
422	C₂×D₄×C₅₃	—	2	2	no	—
423	C₂×D₄×C₅₃	—	2	2	no	—
424	C₂×D₄×C₅₃	—	2	2	no	—
425	C₂×D₄×C₅₃	—	2	2	no	—
426	C₂×D₄×C₅₃	—	2	2	no	—
427	C₂×D₄×C₅₃	—	2	2	no	—
428	C₂×D₄×C₅₃	—	2	2	no	—
429	C₂×D₄×C₅₃	—	2	2	no	—
430	C₂×D₄×C₅₃	—	2	2	no	—
431	C₂×D₄×C₅₃	—	2	2	no	—
432	C₂×D₄×C₅₃	—	2	2	no	—
433	C₂×D₄×C₅₃	—	2	2	no	—
434	C₂×D₄×C₅₃	—	2	2	no	—
435	C₂×D₄×C₅₃	—	2	2	no	—
436	C₂×D₄×C₅₃	—	2	2	no	—
437	C₂×D₄×C₅₃	—	2	2	no	—
438	C₂×D₄×C₅₃	—	2	2	no	—
439	C₂×D₄×C₅₃	—	2	2	no	—
440	C₂×D₄×C₅₃	—	2	2	no	—
441	C₂×D₄×C₅₃	—	2	2	no	—
442	C₂×D₄×C₅₃	—	2	2	no	—
443	C₂×D₄×C₅₃	—	4	1	no	—
444	C₂×D₄×C₅₃	—	4	1	no	—
445	C₂×D₄×C₅₃	—	4	1	no	—
446	C₂×D₄×C₅₃	—	4	1	no	—
447	C₂×D₄×C₅₃	—	4	1	no	—
448	C₂×D₄×C₅₃	—	4	1	no	—
449	C₂×D₄×C₅₃	—	4	1	no	—
450	C₂×D₄×C₅₃	—	4	1	no	—
451	C₂×D₄×C₅₃	—	4	1	no	—
452	C₂×D₄×C₅₃	—	4	1	no	—
453	C₂×D₄×C₅₃	—	4	1	no	—
454	C₂×D₄×C₅₃	—	4	1	no	—
455	C₂×D₄×C₅₃	—	4	1	no	—
456	C₂×D₄×C₅₃	—	4	1	no	—
457	C₂×D₄×C₅₃	—	4	1	no	—
458	C₂×D₄×C₅₃	—	4	1	no	—
459	C₂×D₄×C₅₃	—	4	1	no	—
460	C₂×D₄×C₅₃	—	4	1	no	—
461	C₂×D₄×C₅₃	—	4	1	no	—
462	C₂×D₄×C₅₃	—	4	1	no	—
463	C₂×D₄×C₅₃	—	4	1	no	—
464	C₂×D₄×C₅₃	—	4	1	no	—
465	C₂×D₄×C₅₃	—	4	1	no	—
466	C₂×D₄×C₅₃	—	4	1	no	—
467	C₂×D₄×C₅₃	—	4	1	no	—
468	C₂×D₄×C₅₃	—	4	1	no	—
469	C₂×D₄×C₅₃	—	4	1	no	—
470	C₂×D₄×C₅₃	—	4	1	no	—
471	C₂×D₄×C₅₃	—	4	1	no	—
472	C₂×D₄×C₅₃	—	4	1	no	—
473	C₂×D₄×C₅₃	—	4	1	no	—
474	C₂×D₄×C₅₃	—	4	1	no	—
475	C₂×D₄×C₅₃	—	4	1	no	—
476	C₂×D₄×C₅₃	—	4	1	no	—
477	C₂×D₄×C₅₃	—	4	1	no	—
478	C₂×D₄×C₅₃	—	4	1	no	—
479	C₂×D₄×C₅₃	—	4	1	no	—
480	C₂×D₄×C₅₃	—	4	1	no	—
481	C₂×D₄×C₅₃	—	4	1	no	—
482	C₂×D₄×C₅₃	—	4	1	no	—
483	C₂×D₄×C₅₃	—	4	1	no	—
484	C₂×D₄×C₅₃	—	4	1	no	—
485	C₂×D₄×C₅₃	C₂×D₄	1	4	yes	—
486	C₂²×C₄×C₅₃	—	2	2	no	—
487	C₂²×C₄×C₅₃	—	2	2	no	—
488	C₂²×C₄×C₅₃	—	2	2	no	—
489	C₂²×C₄×C₅₃	—	2	2	no	—
490	C₂²×C₄×C₅₃	—	2	2	no	—
491	C₂²×C₄×C₅₃	—	2	2	no	—
492	C₂²×C₄×C₅₃	—	2	2	no	—
493	C₂²×C₄×C₅₃	—	2	2	no	—
494	C₂²×C₄×C₅₃	—	2	2	no	—
495	C₂²×C₄×C₅₃	—	2	2	no	—
496	C₂²×C₄×C₅₃	—	2	2	no	—
497	C₂²×C₄×C₅₃	—	2	2	no	—
498	C₂²×C₄×C₅₃	—	2	2	no	—
499	C₂²×C₄×C₅₃	—	4	1	no	—
500	C₂²×C₄×C₅₃	—	4	1	no	—
501	C₂²×C₄×C₅₃	—	4	1	no	—
502	C₂²×C₄×C₅₃	—	4	1	no	—
503	C₂²×C₄×C₅₃	—	4	1	no	—
504	C₂²×C₄×C₅₃	—	4	1	no	—
505	C₂²×C₄×C₅₃	—	4	1	no	—
506	C₂²×C₄×C₅₃	—	4	1	no	—
507	C₂²×C₄×C₅₃	—	4	1	no	—
508	C₂²×C₄×C₅₃	—	4	1	no	—
509	C₂²×C₄×C₅₃	—	4	1	no	—
510	C₂²×C₄×C₅₃	—	4	1	no	—
511	C₂²×C₄×C₅₃	—	4	1	no	—
512	C₂²×C₄×C₅₃	—	4	1	no	—
513	C₂²×C₄×C₅₃	—	4	1	no	—
514	C₂²×C₄×C₅₃	—	4	16	no	—
515	C₂²×C₄×C₅₃	C₂×D₄	1	4	yes	—
516	C₂²×C₄×C₅₃	C₂×D₄	1	4	yes	—
517	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
540	C₄⋊C₄×C₅₃	—	2	2	no	—
541	C₄⋊C₄×C₅₃	—	2	2	no	—
542	C₄⋊C₄×C₅₃	—	2	2	no	—
543	C₄⋊C₄×C₅₃	—	2	2	no	—
544	C₄⋊C₄×C₅₃	—	2	2	no	—
545	C₄⋊C₄×C₅₃	—	2	2	no	—
546	C₄⋊C₄×C₅₃	—	2	2	no	—
547	C₄⋊C₄×C₅₃	—	2	2	no	—
548	C₄⋊C₄×C₅₃	—	2	2	no	—
549	C₄⋊C₄×C₅₃	—	2	2	no	—
550	C₄⋊C₄×C₅₃	—	2	2	no	—
551	C₄⋊C₄×C₅₃	—	4	1	no	—
552	C₄⋊C₄×C₅₃	—	4	1	no	—
553	C₄⋊C₄×C₅₃	—	4	1	no	—
554	C₄⋊C₄×C₅₃	—	4	1	no	—
555	C₄⋊C₄×C₅₃	—	4	1	no	—
556	C₄⋊C₄×C₅₃	—	4	1	no	—
557	C₄⋊C₄×C₅₃	—	4	1	no	—
558	C₄⋊C₄×C₅₃	—	4	1	no	—
559	C₄⋊C₄×C₅₃	—	4	1	no	—
560	C₄⋊C₄×C₅₃	—	4	1	no	—
561	C₄⋊C₄×C₅₃	—	4	1	no	—
562	C₄⋊C₄×C₅₃	—	4	1	no	—
563	C₄⋊C₄×C₅₃	C₂×D₄	1	4	yes	—
564	C₂²⋊C₄×C₅₃	—	2	2	no	—
565	C₂²⋊C₄×C₅₃	—	2	2	no	—
566	C₂²⋊C₄×C₅₃	—	2	2	no	—
567	C₂²⋊C₄×C₅₃	—	2	2	no	—
568	C₂²⋊C₄×C₅₃	—	2	2	no	—
569	C₂²⋊C₄×C₅₃	—	2	2	no	—
570	C₂²⋊C₄×C₅₃	—	2	2	no	—
571	C₂²⋊C₄×C₅₃	—	2	2	no	—
572	C₂²⋊C₄×C₅₃	—	2	2	no	—
573	C₂²⋊C₄×C₅₃	—	2	2	no	—
574	C₂²⋊C₄×C₅₃	—	2	2	no	—
575	C₂²⋊C₄×C₅₃	—	2	2	no	—
576	C₂²⋊C₄×C₅₃	—	2	2	no	—
577	C₂²⋊C₄×C₅₃	—	2	2	no	—
578	C₂²⋊C₄×C₅₃	—	2	2	no	—
579	C₂²⋊C₄×C₅₃	—	2	2	no	—
580	C₂²⋊C₄×C₅₃	—	2	2	no	—
581	C₂²⋊C₄×C₅₃	—	2	2	no	—
582	C₂²⋊C₄×C₅₃	—	2	2	no	—
583	C₂²⋊C₄×C₅₃	—	2	2	no	—
584	C₂²⋊C₄×C₅₃	—	2	2	no	—
585	C₂²⋊C₄×C₅₃	—	2	2	no	—
586	C₂²⋊C₄×C₅₃	—	2	2	no	—
587	C₂²⋊C₄×C₅₃	—	2	2	no	—
588	C₂²⋊C₄×C₅₃	—	2	2	no	—
589	C₂²⋊C₄×C₅₃	—	2	2	no	—
590	C₂²⋊C₄×C₅₃	—	2	2	no	—
591	C₂²⋊C₄×C₅₃	—	4	1	no	—
592	C₂²⋊C₄×C₅₃	—	4	1	no	—
593	C₂²⋊C₄×C₅₃	—	4	1	no	—
594	C₂²⋊C₄×C₅₃	—	4	1	no	—
595	C₂²⋊C₄×C₅₃	—	4	1	no	—
596	C₂²⋊C₄×C₅₃	—	4	1	no	—
597	C₂²⋊C₄×C₅₃	—	4	1	no	—
598	C₂²⋊C₄×C₅₃	—	4	1	no	—
599	C₂²⋊C₄×C₅₃	—	4	1	no	—
600	C₂²⋊C₄×C₅₃	—	4	1	no	—
601	C₂²⋊C₄×C₅₃	—	4	1	no	—
602	C₂²⋊C₄×C₅₃	—	4	1	no	—
603	C₂²⋊C₄×C₅₃	—	4	1	no	—
604	C₂²⋊C₄×C₅₃	—	4	1	no	—
605	C₂²⋊C₄×C₅₃	—	4	1	no	—
606	C₂²⋊C₄×C₅₃	—	4	1	no	—
607	C₂²⋊C₄×C₅₃	—	4	1	no	—
608	C₂²⋊C₄×C₅₃	—	4	1	no	—
609	C₂²⋊C₄×C₅₃	—	4	1	no	—
610	C₂²⋊C₄×C₅₃	—	4	1	no	—
611	C₂²⋊C₄×C₅₃	—	4	1	no	—
612	C₂²⋊C₄×C₅₃	—	4	1	no	—
613	C₂²⋊C₄×C₅₃	—	4	1	no	—
614	C₂²⋊C₄×C₅₃	—	4	1	no	—
615	C₂²⋊C₄×C₅₃	—	4	1	no	—
616	C₂²⋊C₄×C₅₃	—	4	1	no	—
617	C₂²⋊C₄×C₅₃	—	4	1	no	—
618	C₂²⋊C₄×C₅₃	—	4	1	no	—
619	C₂²⋊C₄×C₅₃	—	4	1	no	—
620	C₂²⋊C₄×C₅₃	—	4	1	no	—
621	C₂²⋊C₄×C₅₃	—	4	1	no	—
622	C₂²⋊C₄×C₅₃	C₂×D₄	1	4	yes	—
623	C₂²⋊C₄×C₅₃	C₂×D₄	1	4	yes	—
624	C₄²×C₅₃	—	2	2	no	—
625	C₄²×C₅₃	—	2	2	no	—
626	C₄²×C₅₃	—	4	1	no	—
627	C₄²×C₅₃	—	4	1	no	—
628	C₄²×C₅₃	—	4	1	no	—
629	C₄²×C₅₃	—	4	1	no	—
630	C₄²×C₅₃	C₂×D₄	1	4	yes	—
631	C₂³×C₅₃	—	2	1	no	—
632	C₂³×C₅₃	—	2	1	no	—
633	C₂³×C₅₃	—	2	1	no	—
634	C₂³×C₅₃	—	2	1	no	—
635	C₂³×C₅₃	—	2	1	no	—
636	C₂³×C₅₃	—	2	1	no	—
637	C₂³×C₅₃	—	2	1	no	—
638	C₂³×C₅₃	—	2	1	no	—
639	C₂³×C₅₃	—	2	1	no	—
640	C₂³×C₅₃	—	2	1	no	—
641	C₂³×C₅₃	—	2	1	no	—
642	C₂³×C₅₃	—	2	1	no	—
643	C₂³×C₅₃	—	2	1	no	—
644	C₂³×C₅₃	—	2	1	no	—
645	C₂³×C₅₃	—	2	1	no	—
646	C₂³×C₅₃	—	2	1	no	—
647	C₂³×C₅₃	—	2	1	no	—
648	C₂³×C₅₃	—	2	1	no	—
649	C₂³×C₅₃	—	2	1	no	—
650	C₂³×C₅₃	—	2	1	no	—
651	C₂³×C₅₃	—	2	1	no	—
652	C₂³×C₅₃	—	2	1	no	—
653	C₂³×C₅₃	—	2	1	no	—
654	C₂³×C₅₃	—	2	1	no	—
655	C₂³×C₅₃	—	2	1	no	—
656	C₂³×C₅₃	—	2	1	no	—
657	C₂³×C₅₃	—	2	1	no	—
658	C₂³×C₅₃	—	2	1	no	—
659	C₂³×C₅₃	—	2	1	no	—
660	C₂³×C₅₃	—	2	1	no	—
661	C₂³×C₅₃	—	2	1	no	—
662	C₂³×C₅₃	—	2	1	no	—
663	C₂³×C₅₃	—	2	1	no	—
664	C₂³×C₅₃	—	2	1	no	—
665	C₂³×C₅₃	—	2	1	no	—
666	C₂³×C₅₃	—	2	1	no	—
667	C₂³×C₅₃	—	2	1	no	—
668	C₂³×C₅₃	—	2	1	no	—
669	C₂³×C₅₃	—	2	1	no	—
670	C₂³×C₅₃	—	2	1	no	—
671	C₂³×C₅₃	—	2	1	no	—
672	C₂³×C₅₃	—	2	1	no	—
673	C₂³×C₅₃	—	2	1	no	—
674	C₂³×C₅₃	—	2	1	no	—
675	C₂³×C₅₃	—	2	1	no	—
676	C₂³×C₅₃	—	2	1	no	—
677	C₂³×C₅₃	—	2	1	no	—
678	C₂³×C₅₃	—	2	1	no	—
679	C₂³×C₅₃	—	2	1	no	—
680	C₂³×C₅₃	—	2	1	no	—
681	C₂³×C₅₃	—	2	1	no	—
682	C₂³×C₅₃	—	2	1	no	—
683	C₂³×C₅₃	—	4	4	no	—
684	C₂³×C₅₃	—	4	4	no	—
685	C₂³×C₅₃	—	4	4	no	—
686	C₂³×C₅₃	—	4	4	no	—
687	C₂³×C₅₃	—	4	4	no	—
688	C₂³×C₅₃	—	4	4	no	—
689	C₂³×C₅₃	—	4	4	no	—
690	C₂³×C₅₃	—	4	4	no	—
691	C₂³×C₅₃	—	8	2	no	—
692	C₂³×C₅₃	—	8	2	no	—
693	C₂³×C₅₃	—	8	2	no	—
694	C₂³×C₅₃	—	8	2	no	—
695	C₂³×C₅₃	—	8	2	no	—
696	C₂³×C₅₃	—	8	2	no	—
697	C₂³×C₅₃	C₂²×D₄	1	2	yes	—
698	C₂³×C₅₃	C₂²×D₄	1	2	yes	—
699	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
700	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
701	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
702	Q₈×C₅₃	—	4	4	no	—
703	Q₈×C₅₃	—	8	2	no	—
704	D₄×C₅₃	—	4	4	no	—
705	D₄×C₅₃	—	4	4	no	—
706	D₄×C₅₃	—	4	4	no	—
707	D₄×C₅₃	—	4	4	no	—
708	D₄×C₅₃	—	4	4	no	—
709	D₄×C₅₃	—	4	4	no	—
710	D₄×C₅₃	—	4	4	no	—
711	D₄×C₅₃	—	4	4	no	—
712	D₄×C₅₃	—	8	2	no	—
713	D₄×C₅₃	—	8	2	no	—
714	D₄×C₅₃	—	8	2	no	—
715	D₄×C₅₃	—	8	2	no	—
716	D₄×C₅₃	—	8	2	no	—
717	D₄×C₅₃	—	8	2	no	—
718	D₄×C₅₃	—	8	2	no	—
719	D₄×C₅₃	—	8	2	no	—
720	D₄×C₅₃	—	8	2	no	—
721	D₄×C₅₃	—	8	2	no	—
722	D₄×C₅₃	—	8	2	no	—
723	D₄×C₅₃	—	8	2	no	—
724	D₄×C₅₃	—	8	2	no	—
725	D₄×C₅₃	—	8	2	no	—
726	C₂×C₄×C₅₃	—	2	8	no	—
727	C₂×C₄×C₅₃	—	2	1	no	—
728	C₂×C₄×C₅₃	—	2	1	no	—
729	C₂×C₄×C₅₃	—	2	1	no	—
730	C₂×C₄×C₅₃	—	2	1	no	—
731	C₂×C₄×C₅₃	—	2	1	no	—
732	C₂×C₄×C₅₃	—	2	1	no	—
733	C₂×C₄×C₅₃	—	2	1	no	—
734	C₂×C₄×C₅₃	—	2	1	no	—
735	C₂×C₄×C₅₃	—	2	1	no	—
736	C₂×C₄×C₅₃	—	2	1	no	—
737	C₂×C₄×C₅₃	—	2	1	no	—
738	C₂×C₄×C₅₃	—	2	1	no	—
739	C₂×C₄×C₅₃	—	2	1	no	—
740	C₂×C₄×C₅₃	—	2	1	no	—
741	C₂×C₄×C₅₃	—	2	1	no	—
742	C₂×C₄×C₅₃	—	2	1	no	—
743	C₂×C₄×C₅₃	—	2	1	no	—
744	C₂×C₄×C₅₃	—	2	1	no	—
745	C₂×C₄×C₅₃	—	2	1	no	—
746	C₂×C₄×C₅₃	—	2	1	no	—
747	C₂×C₄×C₅₃	—	2	1	no	—
748	C₂×C₄×C₅₃	—	2	1	no	—
749	C₂×C₄×C₅₃	—	2	1	no	—
750	C₂×C₄×C₅₃	—	2	1	no	—
751	C₂×C₄×C₅₃	—	2	1	no	—
752	C₂×C₄×C₅₃	—	2	1	no	—
753	C₂×C₄×C₅₃	—	2	1	no	—
754	C₂×C₄×C₅₃	—	2	1	no	—
755	C₂×C₄×C₅₃	—	2	1	no	—
756	C₂×C₄×C₅₃	—	2	1	no	—
757	C₂×C₄×C₅₃	—	2	1	no	—
758	C₂×C₄×C₅₃	—	2	1	no	—
759	C₂×C₄×C₅₃	—	2	1	no	—
760	C₂×C₄×C₅₃	—	2	1	no	—
761	C₂×C₄×C₅₃	—	2	1	no	—
762	C₂×C₄×C₅₃	—	2	1	no	—
763	C₂×C₄×C₅₃	—	2	1	no	—
764	C₂×C₄×C₅₃	—	2	1	no	—
765	C₂×C₄×C₅₃	—	2	1	no	—
766	C₂×C₄×C₅₃	—	2	1	no	—
767	C₂×C₄×C₅₃	—	2	1	no	—
768	C₂×C₄×C₅₃	—	2	1	no	—
769	C₂×C₄×C₅₃	—	2	1	no	—
770	C₂×C₄×C₅₃	—	2	1	no	—
771	C₂×C₄×C₅₃	—	2	1	no	—
772	C₂×C₄×C₅₃	—	2	1	no	—
773	C₂×C₄×C₅₃	—	2	1	no	—
774	C₂×C₄×C₅₃	—	2	1	no	—
775	C₂×C₄×C₅₃	—	2	1	no	—
776	C₂×C₄×C₅₃	—	2	1	no	—
777	C₂×C₄×C₅₃	—	2	1	no	—
778	C₂×C₄×C₅₃	—	2	1	no	—
779	C₂×C₄×C₅₃	—	2	1	no	—
780	C₂×C₄×C₅₃	—	2	1	no	—
781	C₂×C₄×C₅₃	—	2	1	no	—
782	C₂×C₄×C₅₃	—	2	1	no	—
783	C₂×C₄×C₅₃	—	2	1	no	—
784	C₂×C₄×C₅₃	—	2	1	no	—
785	C₂×C₄×C₅₃	—	2	1	no	—
786	C₂×C₄×C₅₃	—	2	1	no	—
787	C₂×C₄×C₅₃	—	2	1	no	—
788	C₂×C₄×C₅₃	—	2	1	no	—
789	C₂×C₄×C₅₃	—	2	1	no	—
790	C₂×C₄×C₅₃	—	4	4	no	—
791	C₂×C₄×C₅₃	—	4	4	no	—
792	C₂×C₄×C₅₃	—	4	4	no	—
793	C₂×C₄×C₅₃	—	4	4	no	—
794	C₂×C₄×C₅₃	—	4	4	no	—
795	C₂×C₄×C₅₃	—	4	4	no	—
796	C₂×C₄×C₅₃	—	4	4	no	—
797	C₂×C₄×C₅₃	—	8	2	no	—
798	C₂×C₄×C₅₃	—	8	2	no	—
799	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
800	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
801	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
802	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
803	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
804	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
805	#36724	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
806	C₂²×C₅₃	—	2	2	no	—
807	C₂²×C₅₃	—	2	2	no	—
808	C₂²×C₅₃	—	2	2	no	—
809	C₂²×C₅₃	—	2	2	no	—
810	C₂²×C₅₃	—	2	2	no	—
811	C₂²×C₅₃	—	2	2	no	—
812	C₂²×C₅₃	—	2	2	no	—
813	C₂²×C₅₃	—	2	2	no	—
814	C₂²×C₅₃	—	2	2	no	—
815	C₂²×C₅₃	—	2	2	no	—
816	C₂²×C₅₃	—	2	2	no	—
817	C₂²×C₅₃	—	2	2	no	—
818	C₂²×C₅₃	—	4	16	no	—
819	C₂²×C₅₃	—	4	1	no	—
820	C₂²×C₅₃	—	4	1	no	—
821	C₂²×C₅₃	—	4	1	no	—
822	C₂²×C₅₃	—	4	1	no	—
823	C₂²×C₅₃	—	4	1	no	—
824	C₂²×C₅₃	—	4	1	no	—
825	C₂²×C₅₃	—	4	1	no	—
826	C₂²×C₅₃	—	4	1	no	—
827	C₂²×C₅₃	—	4	1	no	—
828	C₂²×C₅₃	—	4	1	no	—
829	C₂²×C₅₃	—	4	1	no	—
830	C₂²×C₅₃	—	4	1	no	—
831	C₂²×C₅₃	—	4	1	no	—
832	C₂²×C₅₃	—	4	1	no	—
833	C₂²×C₅₃	—	4	1	no	—
834	C₂²×C₅₃	—	4	1	no	—
835	C₂²×C₅₃	—	4	1	no	—
836	C₂²×C₅₃	—	4	1	no	—
837	C₂²×C₅₃	—	4	1	no	—
838	C₂²×C₅₃	—	4	1	no	—
839	C₂²×C₅₃	—	4	1	no	—
840	C₂²×C₅₃	—	4	1	no	—
841	C₂²×C₅₃	—	4	1	no	—
842	C₂²×C₅₃	—	4	1	no	—
843	C₂²×C₅₃	—	4	1	no	—
844	C₂²×C₅₃	—	4	1	no	—
845	C₂²×C₅₃	—	4	1	no	—
846	C₂²×C₅₃	—	4	1	no	—
847	C₂²×C₅₃	—	4	1	no	—
848	C₂²×C₅₃	—	4	1	no	—
849	C₂²×C₅₃	—	4	1	no	—
850	C₂²×C₅₃	—	4	1	no	—
851	C₂²×C₅₃	—	4	1	no	—
852	C₂²×C₅₃	—	4	1	no	—
853	C₂²×C₅₃	—	4	1	no	—
854	C₂²×C₅₃	—	4	1	no	—
855	C₂²×C₅₃	—	4	1	no	—
856	C₂²×C₅₃	—	4	1	no	—
857	C₂²×C₅₃	—	4	1	no	—
858	C₂²×C₅₃	—	4	1	no	—
859	C₂²×C₅₃	—	4	1	no	—
860	C₂²×C₅₃	—	4	1	no	—
861	C₂²×C₅₃	—	4	1	no	—
862	C₂²×C₅₃	—	4	1	no	—
863	C₂²×C₅₃	—	8	8	no	—
864	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
865	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
866	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
867	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
868	C₂²×C₅₃	#585	1	1	yes	characteristic
869	C₂²×C₅₃	#585	1	1	yes	characteristic
870	C₂²×C₅₃	#585	1	1	yes	characteristic
871	C₄×C₅₃	—	2	2	no	—
872	C₄×C₅₃	—	2	2	no	—
873	C₄×C₅₃	—	2	2	no	—
874	C₄×C₅₃	—	2	2	no	—
875	C₄×C₅₃	—	2	2	no	—
876	C₄×C₅₃	—	2	2	no	—
877	C₄×C₅₃	—	4	1	no	—
878	C₄×C₅₃	—	4	1	no	—
879	C₄×C₅₃	—	4	1	no	—
880	C₄×C₅₃	—	4	1	no	—
881	C₄×C₅₃	—	4	1	no	—
882	C₄×C₅₃	—	4	1	no	—
883	C₄×C₅₃	—	4	1	no	—
884	C₄×C₅₃	—	4	1	no	—
885	C₄×C₅₃	—	4	1	no	—
886	C₄×C₅₃	—	4	1	no	—
887	C₄×C₅₃	—	4	1	no	—
888	C₄×C₅₃	—	4	1	no	—
889	C₄×C₅₃	—	4	1	no	—
890	C₄×C₅₃	—	4	1	no	—
891	C₄×C₅₃	—	4	1	no	—
892	C₄×C₅₃	—	4	1	no	—
893	C₄×C₅₃	—	4	1	no	—
894	C₂×#538	C₂×C₅₃	1	1	yes	characteristic, complemented
895	C₂×#525	C₂×C₅₃	1	1	yes	characteristic, complemented
896	#2849	C₂×C₅₃	1	1	yes	characteristic, complemented
897	#2847	C₂×C₅₃	1	1	yes	characteristic, complemented
898	#2705	C₂×C₅₃	1	1	yes	characteristic, complemented
899	#2702	C₂×C₅₃	1	1	yes	characteristic, complemented
900	#2700	C₂×C₅₃	1	1	yes	characteristic, complemented
901	#2699	C₂×C₅₃	1	1	yes	characteristic, complemented
902	#2687	C₂×C₅₃	1	1	yes	characteristic, complemented
903	#2682	C₂×C₅₃	1	1	yes	characteristic, complemented
904	#2681	C₂×C₅₃	1	1	yes	characteristic, complemented
905	#2681	C₂×C₅₃	1	1	yes	characteristic, complemented
906	#2679	C₂×C₅₃	1	1	yes	characteristic, complemented
907	#2678	C₂×C₅₃	1	1	yes	characteristic, complemented
908	#2678	C₂×C₅₃	1	1	yes	characteristic, complemented
909	#2678	C₂×C₅₃	1	1	yes	characteristic, complemented
910	#2672	C₂×C₅₃	1	1	yes	characteristic, complemented
911	#2670	C₂×C₅₃	1	1	yes	characteristic, complemented
912	#2669	C₂×C₅₃	1	1	yes	characteristic, complemented
913	#2669	C₂×C₅₃	1	1	yes	characteristic, complemented
914	#2635	C₂×C₅₃	1	1	yes	characteristic, complemented
915	#2630	C₂×C₅₃	1	1	yes	characteristic, complemented
916	#2610	C₂×C₅₃	1	1	yes	characteristic, complemented
917	#2603	C₂×C₅₃	1	1	yes	characteristic, complemented
918	#2601	C₂×C₅₃	1	1	yes	characteristic, complemented
919	#2600	C₂×C₅₃	1	1	yes	characteristic, complemented
920	#2544	C₂×C₅₃	1	1	yes	characteristic, complemented
921	#2534	C₂×C₅₃	1	1	yes	characteristic, complemented
922	#2407	C₂×C₅₃	1	1	yes	characteristic, complemented
923	#2404	C₂×C₅₃	1	1	yes	characteristic, complemented
924	#2319	C₂×C₅₃	1	1	yes	characteristic, complemented
925	C₂×C₅₃	—	4	2	no	—
926	C₂×C₅₃	—	4	2	no	—
927	C₂×C₅₃	—	4	2	no	—
928	C₂×C₅₃	—	4	2	no	—
929	C₂×C₅₃	—	8	1	no	—
930	C₂×C₅₃	—	8	1	no	—
931	C₂×C₅₃	—	8	1	no	—
932	C₂×C₅₃	—	8	1	no	—
933	C₂×C₅₃	#3449	1	1	yes	characteristic
934	C₂×C₅₃	#3484	1	1	yes	characteristic
935	C₂×C₅₃	#3488	1	1	yes	characteristic
936	C₂×C₅₃	#3533	1	1	yes	characteristic
937	C₂×C₅₃	#3534	1	1	yes	characteristic
938	C₂×C₅₃	#3540	1	1	yes	characteristic
939	C₂×C₅₃	#3542	1	1	yes	characteristic
940	C₂²×#41	C₂²×C₅₃	1	1	yes	characteristic
941	C₂⁴×C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
942	#538	—	2	8	no	—
943	C₂×#127	C₂²×C₅₃	1	1	yes	characteristic
944	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
945	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
946	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic
947	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic, complemented
948	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic, complemented
949	#525	—	2	8	no	—
950	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
951	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
952	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
953	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic
954	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
956	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
957	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
958	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
959	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
961	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
962	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
963	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
964	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
965	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
966	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
967	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
968	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
969	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
970	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
971	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
972	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
973	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
974	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic, complemented
976	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic, complemented
977	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic, complemented
978	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
979	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
980	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
981	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
982	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
983	C₂×#117	C₂²×C₅₃	1	1	yes	characteristic, complemented
984	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
985	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
986	#399	C₂²×C₅₃	1	1	yes	characteristic, complemented
987	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
988	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
989	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
990	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
991	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
992	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
993	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
994	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
995	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
996	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
997	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
998	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
999	#395	C₂²×C₅₃	1	1	yes	characteristic, complemented
1000	#394	C₂²×C₅₃	1	1	yes	characteristic
1001	#394	C₂²×C₅₃	1	1	yes	characteristic
1002	#394	C₂²×C₅₃	1	1	yes	characteristic
1003	#394	C₂²×C₅₃	1	1	yes	characteristic
1004	#394	C₂²×C₅₃	1	1	yes	characteristic
1005	#394	C₂²×C₅₃	1	1	yes	characteristic
1006	#394	C₂²×C₅₃	1	1	yes	characteristic
1007	#394	C₂²×C₅₃	1	1	yes	characteristic
1008	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1009	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1010	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1011	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1012	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1013	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1014	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1015	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1016	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1017	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1018	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
1019	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
1020	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
1021	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
1022	#392	C₂²×C₅₃	1	1	yes	characteristic
1023	#392	C₂²×C₅₃	1	1	yes	characteristic
1024	#392	C₂²×C₅₃	1	1	yes	characteristic
1025	#392	C₂²×C₅₃	1	1	yes	characteristic
1026	#392	C₂²×C₅₃	1	1	yes	characteristic
1027	#392	C₂²×C₅₃	1	1	yes	characteristic
1028	#392	C₂²×C₅₃	1	1	yes	characteristic
1029	#392	C₂²×C₅₃	1	1	yes	characteristic
1030	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
1031	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
1032	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
1033	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
1034	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
1035	#390	C₂²×C₅₃	1	1	yes	characteristic
1036	#390	C₂²×C₅₃	1	1	yes	characteristic
1037	#390	C₂²×C₅₃	1	1	yes	characteristic
1038	#390	C₂²×C₅₃	1	1	yes	characteristic
1039	#390	C₂²×C₅₃	1	1	yes	characteristic
1040	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1041	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1042	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1043	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1044	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
1045	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
1046	#389	C₂²×C₅₃	1	1	yes	characteristic, complemented
1047	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1048	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1049	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1050	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1051	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1052	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1053	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1054	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1055	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1056	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1057	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1058	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1059	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1060	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1061	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1062	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1063	#386	C₂²×C₅₃	1	1	yes	characteristic
1064	#386	C₂²×C₅₃	1	1	yes	characteristic
1065	#386	C₂²×C₅₃	1	1	yes	characteristic
1066	#386	C₂²×C₅₃	1	1	yes	characteristic
1067	#386	C₂²×C₅₃	1	1	yes	characteristic
1068	#386	C₂²×C₅₃	1	1	yes	characteristic
1069	#386	C₂²×C₅₃	1	1	yes	characteristic
1070	#386	C₂²×C₅₃	1	1	yes	characteristic
1071	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1072	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1073	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1074	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1075	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1076	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1077	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1078	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1079	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1080	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1081	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1082	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1083	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1084	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1085	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1086	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1087	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1088	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1089	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1090	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1091	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1092	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1093	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1094	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1095	C₄×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1096	#376	C₂²×C₅₃	1	1	yes	characteristic, complemented
1097	C₅₃	#36724	1	1	yes	characteristic, direct product factor, Sylow
1098	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1099	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1100	C₂×#41	—	2	4	no	—
1101	C₂×#41	—	4	2	no	—
1102	C₂×#41	—	4	2	no	—
1103	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1104	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1106	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1107	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1108	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1109	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1110	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1111	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1112	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1113	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1114	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1115	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1116	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1117	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1118	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1119	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1120	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1121	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1122	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1123	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1124	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1125	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1126	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1127	C₂³×C₄	—	2	4	no	—
1128	C₂³×C₄	—	4	2	no	—
1129	C₂³×C₄	—	4	2	no	—
1130	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1131	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1132	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1133	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1134	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1135	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1136	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1137	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1138	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1139	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1140	#127	—	4	2	no	—
1141	#126	—	2	4	no	—
1142	#126	—	2	4	no	—
1143	#124	—	2	4	no	—
1144	#124	—	2	4	no	—
1145	#124	—	4	2	no	—
1146	#123	—	2	4	no	—
1147	#123	—	2	4	no	—
1148	#123	—	2	4	no	—
1149	#123	—	2	4	no	—
1150	#123	—	4	2	no	—
1151	#123	—	4	2	no	—
1152	C₂²⋊Q₈	—	2	4	no	—
1153	C₂²⋊Q₈	—	2	4	no	—
1154	C₂²⋊Q₈	—	2	4	no	—
1155	C₂²⋊Q₈	—	4	2	no	—
1156	#121	—	2	4	no	—
1157	#121	—	2	4	no	—
1158	#121	—	2	4	no	—
1159	#121	—	2	4	no	—
1160	#121	—	2	4	no	—
1161	#121	—	4	2	no	—
1162	#121	—	4	2	no	—
1163	#121	—	4	2	no	—
1164	#120	—	2	4	no	—
1165	#120	—	2	4	no	—
1166	#120	—	2	4	no	—
1167	#120	—	2	4	no	—
1168	#120	—	4	2	no	—
1169	#120	—	4	2	no	—
1170	#120	—	4	2	no	—
1171	#120	—	4	2	no	—
1172	#120	—	4	2	no	—
1173	#120	—	4	2	no	—
1174	C₄×D₄	—	2	4	no	—
1175	C₄×D₄	—	2	4	no	—
1176	C₄×D₄	—	2	4	no	—
1177	C₄×D₄	—	2	4	no	—
1178	C₄×D₄	D₄×C₅₃	1	8	yes	complemented
1179	#117	—	2	4	no	—
1180	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1181	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1182	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1183	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1184	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1185	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1186	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1187	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1188	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1189	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1190	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1191	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1192	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1193	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1194	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1195	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1196	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1197	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1198	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1199	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1200	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1201	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1202	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1203	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1204	C₂×C₂²⋊C₄	—	2	4	no	—
1205	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1206	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1207	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1208	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1209	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1210	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1211	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1212	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1213	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1214	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1215	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1216	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1217	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1218	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1219	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1220	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1221	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1222	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1223	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1224	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1225	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1226	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1227	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1228	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1229	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1230	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1231	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1232	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1233	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1234	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1235	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1236	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1237	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1238	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1239	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1240	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1241	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1242	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1243	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1244	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1246	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1247	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1248	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1249	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1250	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1251	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1252	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1253	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1254	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1255	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1256	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1257	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1258	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1259	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1260	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1261	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1262	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1263	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1264	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1265	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1266	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1267	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1268	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1269	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1270	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1271	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1272	#95	C₂³×C₅₃	1	1	yes	characteristic
1273	#95	C₂³×C₅₃	1	1	yes	characteristic
1274	#95	C₂³×C₅₃	1	1	yes	characteristic
1275	#95	C₂³×C₅₃	1	1	yes	characteristic
1276	#95	C₂³×C₅₃	1	1	yes	characteristic
1277	#95	C₂³×C₅₃	1	1	yes	characteristic
1278	#95	C₂³×C₅₃	1	1	yes	characteristic
1279	#95	C₂³×C₅₃	1	1	yes	characteristic
1280	#95	C₂³×C₅₃	1	1	yes	characteristic
1281	#95	C₂³×C₅₃	1	1	yes	characteristic
1282	#95	C₂³×C₅₃	1	1	yes	characteristic
1283	#95	C₂³×C₅₃	1	1	yes	characteristic
1284	#95	C₂³×C₅₃	1	1	yes	characteristic
1285	#95	C₂³×C₅₃	1	1	yes	characteristic
1286	#95	C₂³×C₅₃	1	1	yes	characteristic
1287	#95	C₂³×C₅₃	1	1	yes	characteristic
1288	#95	C₂³×C₅₃	1	1	yes	characteristic
1289	#95	C₂³×C₅₃	1	1	yes	characteristic
1290	#95	C₂³×C₅₃	1	1	yes	characteristic
1291	#95	C₂³×C₅₃	1	1	yes	characteristic
1292	#95	C₂³×C₅₃	1	1	yes	characteristic
1293	#95	C₂³×C₅₃	1	1	yes	characteristic
1294	#95	C₂³×C₅₃	1	1	yes	characteristic
1295	#95	C₂³×C₅₃	1	1	yes	characteristic
1296	#95	C₂³×C₅₃	1	1	yes	characteristic
1297	#95	C₂³×C₅₃	1	1	yes	characteristic
1298	#95	C₂³×C₅₃	1	1	yes	characteristic
1299	#95	C₂³×C₅₃	1	1	yes	characteristic
1300	C₂⁴	—	2	2	no	—
1301	C₂⁴	—	2	2	no	—
1302	C₂⁴	—	2	2	no	—
1303	C₂⁴	—	2	2	no	—
1304	C₂⁴	—	4	1	no	—
1305	C₂⁴	—	4	1	no	—
1306	C₂⁴	—	4	1	no	—
1307	C₂⁴	—	4	1	no	—
1308	C₂⁴	—	4	1	no	—
1309	C₂⁴	—	4	1	no	—
1310	C₂⁴	—	4	1	no	—
1311	C₂⁴	—	4	1	no	—
1312	C₂⁴	—	4	1	no	—
1313	C₂⁴	—	4	1	no	—
1314	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1315	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1316	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1317	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1318	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1319	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1320	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1321	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1322	#41	—	4	16	no	—
1323	C₂×Q₈	—	2	2	no	—
1324	C₂×Q₈	—	2	2	no	—
1325	C₂×Q₈	—	2	2	no	—
1326	C₂×Q₈	—	4	1	no	—
1327	C₂×Q₈	—	4	1	no	—
1328	C₂×Q₈	—	4	1	no	—
1329	C₂×D₄	—	2	2	no	—
1330	C₂×D₄	—	2	2	no	—
1331	C₂×D₄	—	2	2	no	—
1332	C₂×D₄	—	2	2	no	—
1333	C₂×D₄	—	2	2	no	—
1334	C₂×D₄	—	2	2	no	—
1335	C₂×D₄	—	2	2	no	—
1336	C₂×D₄	—	2	2	no	—
1337	C₂×D₄	—	2	2	no	—
1338	C₂×D₄	—	2	2	no	—
1339	C₂×D₄	—	2	2	no	—
1340	C₂×D₄	—	2	2	no	—
1341	C₂×D₄	—	2	2	no	—
1342	C₂×D₄	—	2	2	no	—
1343	C₂×D₄	—	2	2	no	—
1344	C₂×D₄	—	2	2	no	—
1345	C₂×D₄	—	2	2	no	—
1346	C₂×D₄	—	2	2	no	—
1347	C₂×D₄	—	2	2	no	—
1348	C₂×D₄	—	2	2	no	—
1349	C₂×D₄	—	2	2	no	—
1350	C₂×D₄	—	2	2	no	—
1351	C₂×D₄	—	2	2	no	—
1352	C₂×D₄	—	4	1	no	—
1353	C₂×D₄	—	4	1	no	—
1354	C₂×D₄	—	4	1	no	—
1355	C₂×D₄	—	4	1	no	—
1356	C₂×D₄	—	4	1	no	—
1357	C₂×D₄	—	4	1	no	—
1358	C₂×D₄	—	4	1	no	—
1359	C₂×D₄	—	4	1	no	—
1360	C₂×D₄	—	4	1	no	—
1361	C₂×D₄	—	4	1	no	—
1362	C₂×D₄	—	4	1	no	—
1363	C₂×D₄	—	4	1	no	—
1364	C₂×D₄	—	4	1	no	—
1365	C₂×D₄	—	4	1	no	—
1366	C₂×D₄	—	4	1	no	—
1367	C₂×D₄	—	4	1	no	—
1368	C₂×D₄	—	4	1	no	—
1369	C₂×D₄	—	4	1	no	—
1370	C₂×D₄	—	4	1	no	—
1371	C₂×D₄	—	4	1	no	—
1372	C₂×D₄	—	4	1	no	—
1373	C₂×D₄	—	4	1	no	—
1374	C₂×D₄	—	4	1	no	—
1375	C₂×D₄	—	4	1	no	—
1376	C₂×D₄	—	4	1	no	—
1377	C₂×D₄	—	4	1	no	—
1378	C₂×D₄	—	4	1	no	—
1379	C₂×D₄	—	4	1	no	—
1380	C₂×D₄	—	4	1	no	—
1381	C₂×D₄	—	4	1	no	—
1382	C₂×D₄	—	4	1	no	—
1383	C₂×D₄	—	4	1	no	—
1384	C₂×D₄	—	4	1	no	—
1385	C₂×D₄	—	4	1	no	—
1386	C₂×D₄	—	4	1	no	—
1387	C₂×D₄	—	4	1	no	—
1388	C₂×D₄	—	4	1	no	—
1389	C₂×D₄	—	4	1	no	—
1390	C₂×D₄	—	4	1	no	—
1391	C₂×D₄	—	4	1	no	—
1392	C₂×D₄	—	4	1	no	—
1393	C₂×D₄	—	4	1	no	—
1394	C₂×D₄	C₂×D₄×C₅₃	1	4	yes	—
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	—	2	2	no	—
1400	C₂²×C₄	—	2	2	no	—
1401	C₂²×C₄	—	2	2	no	—
1402	C₂²×C₄	—	2	2	no	—
1403	C₂²×C₄	—	2	2	no	—
1404	C₂²×C₄	—	2	2	no	—
1405	C₂²×C₄	—	2	2	no	—
1406	C₂²×C₄	—	2	2	no	—
1407	C₂²×C₄	—	2	2	no	—
1408	C₂²×C₄	—	4	1	no	—
1409	C₂²×C₄	—	4	1	no	—
1410	C₂²×C₄	—	4	1	no	—
1411	C₂²×C₄	—	4	1	no	—
1412	C₂²×C₄	—	4	1	no	—
1413	C₂²×C₄	—	4	1	no	—
1414	C₂²×C₄	—	4	1	no	—
1415	C₂²×C₄	—	4	1	no	—
1416	C₂²×C₄	—	4	1	no	—
1417	C₂²×C₄	—	4	1	no	—
1418	C₂²×C₄	—	4	1	no	—
1419	C₂²×C₄	—	4	1	no	—
1420	C₂²×C₄	—	4	1	no	—
1421	C₂²×C₄	—	4	1	no	—
1422	C₂²×C₄	—	4	1	no	—
1423	C₂²×C₄	—	4	16	no	—
1424	C₂²×C₄	C₂×D₄×C₅₃	1	4	yes	—
1425	C₂²×C₄	C₂×D₄×C₅₃	1	4	yes	—
1426	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1427	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1428	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1429	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1430	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1431	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1432	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1433	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1434	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1435	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1436	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1437	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1438	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1439	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1440	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1441	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1442	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1443	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1444	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1445	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1446	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1447	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1448	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1449	C₄⋊C₄	—	2	2	no	—
1450	C₄⋊C₄	—	2	2	no	—
1451	C₄⋊C₄	—	2	2	no	—
1452	C₄⋊C₄	—	2	2	no	—
1453	C₄⋊C₄	—	2	2	no	—
1454	C₄⋊C₄	—	2	2	no	—
1455	C₄⋊C₄	—	2	2	no	—
1456	C₄⋊C₄	—	2	2	no	—
1457	C₄⋊C₄	—	2	2	no	—
1458	C₄⋊C₄	—	2	2	no	—
1459	C₄⋊C₄	—	2	2	no	—
1460	C₄⋊C₄	—	4	1	no	—
1461	C₄⋊C₄	—	4	1	no	—
1462	C₄⋊C₄	—	4	1	no	—
1463	C₄⋊C₄	—	4	1	no	—
1464	C₄⋊C₄	—	4	1	no	—
1465	C₄⋊C₄	—	4	1	no	—
1466	C₄⋊C₄	—	4	1	no	—
1467	C₄⋊C₄	—	4	1	no	—
1468	C₄⋊C₄	—	4	1	no	—
1469	C₄⋊C₄	—	4	1	no	—
1470	C₄⋊C₄	—	4	1	no	—
1471	C₄⋊C₄	—	4	1	no	—
1472	C₄⋊C₄	C₂×D₄×C₅₃	1	4	yes	—
1473	C₂²⋊C₄	—	2	2	no	—
1474	C₂²⋊C₄	—	2	2	no	—
1475	C₂²⋊C₄	—	2	2	no	—
1476	C₂²⋊C₄	—	2	2	no	—
1477	C₂²⋊C₄	—	2	2	no	—
1478	C₂²⋊C₄	—	2	2	no	—
1479	C₂²⋊C₄	—	2	2	no	—
1480	C₂²⋊C₄	—	2	2	no	—
1481	C₂²⋊C₄	—	2	2	no	—
1482	C₂²⋊C₄	—	2	2	no	—
1483	C₂²⋊C₄	—	2	2	no	—
1484	C₂²⋊C₄	—	2	2	no	—
1485	C₂²⋊C₄	—	2	2	no	—
1486	C₂²⋊C₄	—	2	2	no	—
1487	C₂²⋊C₄	—	2	2	no	—
1488	C₂²⋊C₄	—	2	2	no	—
1489	C₂²⋊C₄	—	2	2	no	—
1490	C₂²⋊C₄	—	2	2	no	—
1491	C₂²⋊C₄	—	2	2	no	—
1492	C₂²⋊C₄	—	2	2	no	—
1493	C₂²⋊C₄	—	2	2	no	—
1494	C₂²⋊C₄	—	2	2	no	—
1495	C₂²⋊C₄	—	2	2	no	—
1496	C₂²⋊C₄	—	2	2	no	—
1497	C₂²⋊C₄	—	2	2	no	—
1498	C₂²⋊C₄	—	2	2	no	—
1499	C₂²⋊C₄	—	2	2	no	—
1500	C₂²⋊C₄	—	4	1	no	—
1501	C₂²⋊C₄	—	4	1	no	—
1502	C₂²⋊C₄	—	4	1	no	—
1503	C₂²⋊C₄	—	4	1	no	—
1504	C₂²⋊C₄	—	4	1	no	—
1505	C₂²⋊C₄	—	4	1	no	—
1506	C₂²⋊C₄	—	4	1	no	—
1507	C₂²⋊C₄	—	4	1	no	—
1508	C₂²⋊C₄	—	4	1	no	—
1509	C₂²⋊C₄	—	4	1	no	—
1510	C₂²⋊C₄	—	4	1	no	—
1511	C₂²⋊C₄	—	4	1	no	—
1512	C₂²⋊C₄	—	4	1	no	—
1513	C₂²⋊C₄	—	4	1	no	—
1514	C₂²⋊C₄	—	4	1	no	—
1515	C₂²⋊C₄	—	4	1	no	—
1516	C₂²⋊C₄	—	4	1	no	—
1517	C₂²⋊C₄	—	4	1	no	—
1518	C₂²⋊C₄	—	4	1	no	—
1519	C₂²⋊C₄	—	4	1	no	—
1520	C₂²⋊C₄	—	4	1	no	—
1521	C₂²⋊C₄	—	4	1	no	—
1522	C₂²⋊C₄	—	4	1	no	—
1523	C₂²⋊C₄	—	4	1	no	—
1524	C₂²⋊C₄	—	4	1	no	—
1525	C₂²⋊C₄	—	4	1	no	—
1526	C₂²⋊C₄	—	4	1	no	—
1527	C₂²⋊C₄	—	4	1	no	—
1528	C₂²⋊C₄	—	4	1	no	—
1529	C₂²⋊C₄	—	4	1	no	—
1530	C₂²⋊C₄	—	4	1	no	—
1531	C₂²⋊C₄	C₂×D₄×C₅₃	1	4	yes	—
1532	C₂²⋊C₄	C₂×D₄×C₅₃	1	4	yes	—
1533	C₄²	—	2	2	no	—
1534	C₄²	—	2	2	no	—
1535	C₄²	—	4	1	no	—
1536	C₄²	—	4	1	no	—
1537	C₄²	—	4	1	no	—
1538	C₄²	—	4	1	no	—
1539	C₄²	C₂×D₄×C₅₃	1	4	yes	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	2	1	no	—
1549	C₂³	—	2	1	no	—
1550	C₂³	—	2	1	no	—
1551	C₂³	—	2	1	no	—
1552	C₂³	—	2	1	no	—
1553	C₂³	—	2	1	no	—
1554	C₂³	—	2	1	no	—
1555	C₂³	—	2	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	2	1	no	—
1558	C₂³	—	2	1	no	—
1559	C₂³	—	2	1	no	—
1560	C₂³	—	2	1	no	—
1561	C₂³	—	2	1	no	—
1562	C₂³	—	2	1	no	—
1563	C₂³	—	2	1	no	—
1564	C₂³	—	2	1	no	—
1565	C₂³	—	2	1	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	—	2	1	no	—
1568	C₂³	—	2	1	no	—
1569	C₂³	—	2	1	no	—
1570	C₂³	—	2	1	no	—
1571	C₂³	—	2	1	no	—
1572	C₂³	—	2	1	no	—
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	2	1	no	—
1577	C₂³	—	2	1	no	—
1578	C₂³	—	2	1	no	—
1579	C₂³	—	2	1	no	—
1580	C₂³	—	2	1	no	—
1581	C₂³	—	2	1	no	—
1582	C₂³	—	2	1	no	—
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	2	1	no	—
1588	C₂³	—	2	1	no	—
1589	C₂³	—	2	1	no	—
1590	C₂³	—	2	1	no	—
1591	C₂³	—	2	1	no	—
1592	C₂³	—	4	4	no	—
1593	C₂³	—	4	4	no	—
1594	C₂³	—	4	4	no	—
1595	C₂³	—	4	4	no	—
1596	C₂³	—	4	4	no	—
1597	C₂³	—	4	4	no	—
1598	C₂³	—	4	4	no	—
1599	C₂³	—	4	4	no	—
1600	C₂³	—	8	2	no	—
1601	C₂³	—	8	2	no	—
1602	C₂³	—	8	2	no	—
1603	C₂³	—	8	2	no	—
1604	C₂³	—	8	2	no	—
1605	C₂³	—	8	2	no	—
1606	C₂³	C₂²×D₄×C₅₃	1	2	yes	—
1607	C₂³	C₂²×D₄×C₅₃	1	2	yes	—
1608	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1609	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1610	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1611	Q₈	—	4	4	no	—
1612	Q₈	—	8	2	no	—
1613	D₄	—	4	4	no	—
1614	D₄	—	4	4	no	—
1615	D₄	—	4	4	no	—
1616	D₄	—	4	4	no	—
1617	D₄	—	4	4	no	—
1618	D₄	—	4	4	no	—
1619	D₄	—	4	4	no	—
1620	D₄	—	4	4	no	—
1621	D₄	—	8	2	no	—
1622	D₄	—	8	2	no	—
1623	D₄	—	8	2	no	—
1624	D₄	—	8	2	no	—
1625	D₄	—	8	2	no	—
1626	D₄	—	8	2	no	—
1627	D₄	—	8	2	no	—
1628	D₄	—	8	2	no	—
1629	D₄	—	8	2	no	—
1630	D₄	—	8	2	no	—
1631	D₄	—	8	2	no	—
1632	D₄	—	8	2	no	—
1633	D₄	—	8	2	no	—
1634	D₄	—	8	2	no	—
1635	C₂×C₄	—	2	8	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	4	4	no	—
1700	C₂×C₄	—	4	4	no	—
1701	C₂×C₄	—	4	4	no	—
1702	C₂×C₄	—	4	4	no	—
1703	C₂×C₄	—	4	4	no	—
1704	C₂×C₄	—	4	4	no	—
1705	C₂×C₄	—	4	4	no	—
1706	C₂×C₄	—	8	2	no	—
1707	C₂×C₄	—	8	2	no	—
1708	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1709	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1710	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1711	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1712	C₂×C₄	C₂²×D₄×C₅₃	1	2	yes	—
1713	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1714	C₂²	—	2	2	no	—
1715	C₂²	—	2	2	no	—
1716	C₂²	—	2	2	no	—
1717	C₂²	—	2	2	no	—
1718	C₂²	—	2	2	no	—
1719	C₂²	—	2	2	no	—
1720	C₂²	—	2	2	no	—
1721	C₂²	—	2	2	no	—
1722	C₂²	—	2	2	no	—
1723	C₂²	—	2	2	no	—
1724	C₂²	—	2	2	no	—
1725	C₂²	—	2	2	no	—
1726	C₂²	—	4	16	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	4	1	no	—
1750	C₂²	—	4	1	no	—
1751	C₂²	—	4	1	no	—
1752	C₂²	—	4	1	no	—
1753	C₂²	—	4	1	no	—
1754	C₂²	—	4	1	no	—
1755	C₂²	—	4	1	no	—
1756	C₂²	—	4	1	no	—
1757	C₂²	—	4	1	no	—
1758	C₂²	—	4	1	no	—
1759	C₂²	—	4	1	no	—
1760	C₂²	—	4	1	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	4	1	no	—
1767	C₂²	—	4	1	no	—
1768	C₂²	—	4	1	no	—
1769	C₂²	—	4	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	8	8	no	—
1772	C₂²	C₂³×D₄×C₅₃	1	1	yes	characteristic
1773	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1774	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1775	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1776	C₂²	C₅₃×#585	1	1	yes	characteristic
1777	C₂²	C₅₃×#585	1	1	yes	characteristic
1778	C₂²	C₅₃×#585	1	1	yes	characteristic
1779	C₄	—	2	2	no	—
1780	C₄	—	2	2	no	—
1781	C₄	—	2	2	no	—
1782	C₄	—	2	2	no	—
1783	C₄	—	2	2	no	—
1784	C₄	—	2	2	no	—
1785	C₄	—	4	1	no	—
1786	C₄	—	4	1	no	—
1787	C₄	—	4	1	no	—
1788	C₄	—	4	1	no	—
1789	C₄	—	4	1	no	—
1790	C₄	—	4	1	no	—
1791	C₄	—	4	1	no	—
1792	C₄	—	4	1	no	—
1793	C₄	—	4	1	no	—
1794	C₄	—	4	1	no	—
1795	C₄	—	4	1	no	—
1796	C₄	—	4	1	no	—
1797	C₄	—	4	1	no	—
1798	C₄	—	4	1	no	—
1799	C₄	—	4	1	no	—
1800	C₄	—	4	1	no	—
1801	C₄	—	4	1	no	—
1802	C₂	—	4	2	no	—
1803	C₂	—	4	2	no	—
1804	C₂	—	4	2	no	—
1805	C₂	—	4	2	no	—
1806	C₂	—	8	1	no	—
1807	C₂	—	8	1	no	—
1808	C₂	—	8	1	no	—
1809	C₂	—	8	1	no	—
1810	C₂	C₅₃×#3449	1	1	yes	characteristic
1811	C₂	C₅₃×#3484	1	1	yes	characteristic
1812	C₂	C₅₃×#3488	1	1	yes	characteristic
1813	C₂	C₅₃×#3533	1	1	yes	characteristic
1814	C₂	C₅₃×#3534	1	1	yes	characteristic
1815	C₂	C₅₃×#3540	1	1	yes	characteristic
1816	C₂	C₅₃×#3542	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₅₃×#538	C₂	semidirect
2. C₂×C₅₃×#525	C₂	semidirect
3. C₅₃×#2849	C₂	semidirect
4. C₅₃×#2847	C₂	semidirect
5. C₅₃×#2705	C₂	semidirect
6. C₅₃×#2702	C₂	semidirect
7. C₅₃×#2700	C₂	semidirect
8. C₅₃×#2699	C₂	semidirect
9. C₅₃×#2687	C₂	semidirect
10. C₅₃×#2682	C₂	semidirect
11. C₅₃×#2681	C₂	semidirect
12. C₅₃×#2681	C₂	semidirect
13. C₅₃×#2679	C₂	semidirect
14. C₅₃×#2678	C₂	semidirect
15. C₅₃×#2678	C₂	semidirect
16. C₅₃×#2678	C₂	semidirect
17. C₅₃×#2672	C₂	semidirect
18. C₅₃×#2670	C₂	semidirect
19. C₅₃×#2669	C₂	semidirect
20. C₅₃×#2669	C₂	semidirect
21. C₅₃×#2635	C₂	semidirect
22. C₅₃×#2630	C₂	semidirect
23. C₅₃×#2610	C₂	semidirect
24. C₅₃×#2603	C₂	semidirect
25. C₅₃×#2601	C₂	semidirect
26. C₅₃×#2600	C₂	semidirect
27. C₅₃×#2544	C₂	semidirect
28. C₅₃×#2534	C₂	semidirect
29. C₅₃×#2407	C₂	semidirect
30. C₅₃×#2404	C₂	semidirect
31. C₅₃×#2319	C₂	semidirect
33. C₂⁴×C₄×C₅₃	C₂²	semidirect
36. C₂×#126×C₅₃	C₂²	semidirect
37. C₂×#126×C₅₃	C₂²	semidirect
39. C₂×#124×C₅₃	C₂²	semidirect
40. C₂×#124×C₅₃	C₂²	semidirect
46. C₂×#123×C₅₃	C₂²	semidirect
47. C₂×#123×C₅₃	C₂²	semidirect
48. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
49. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
50. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
51. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
59. C₂×#121×C₅₃	C₂²	semidirect
66. C₂×#120×C₅₃	C₂²	semidirect
67. C₂×#120×C₅₃	C₂²	semidirect
68. C₂×#120×C₅₃	C₂²	semidirect
69. C₂×#120×C₅₃	C₂²	semidirect
72. C₂×C₄×D₄×C₅₃	C₂²	semidirect
73. C₂×C₄×D₄×C₅₃	C₂²	semidirect
74. C₂×C₄×D₄×C₅₃	C₂²	semidirect
75. C₂×#117×C₅₃	C₂²	semidirect
76. C₂²×C₂²⋊C₄×C₅₃	C₂²	semidirect
77. C₅₃×#400	C₂²	semidirect
78. C₅₃×#399	C₂²	semidirect
79. C₅₃×#398	C₂²	semidirect
80. C₅₃×#398	C₂²	semidirect
81. C₅₃×#398	C₂²	semidirect
82. C₅₃×#397	C₂²	semidirect
83. C₅₃×#397	C₂²	semidirect
84. C₅₃×#397	C₂²	semidirect
85. C₅₃×#396	C₂²	semidirect
86. C₅₃×#396	C₂²	semidirect
87. C₅₃×#396	C₂²	semidirect
88. C₅₃×#396	C₂²	semidirect
89. C₅₃×#396	C₂²	semidirect
90. C₅₃×#396	C₂²	semidirect
91. C₅₃×#395	C₂²	semidirect
100. C₅₃×#394	C₂²	semidirect
101. C₅₃×#394	C₂²	semidirect
102. C₅₃×#394	C₂²	semidirect
103. C₅₃×#394	C₂²	semidirect
104. C₅₃×#394	C₂²	semidirect
105. C₅₃×#394	C₂²	semidirect
106. C₅₃×#394	C₂²	semidirect
107. C₅₃×#394	C₂²	semidirect
108. C₅₃×#394	C₂²	semidirect
109. C₅₃×#394	C₂²	semidirect
110. C₅₃×#394	C₂²	semidirect
111. C₅₃×#393	C₂²	semidirect
112. C₅₃×#393	C₂²	semidirect
113. C₅₃×#393	C₂²	semidirect
122. C₅₃×#392	C₂²	semidirect
123. C₅₃×#392	C₂²	semidirect
124. C₅₃×#392	C₂²	semidirect
125. C₅₃×#391	C₂²	semidirect
126. C₅₃×#391	C₂²	semidirect
132. C₅₃×#390	C₂²	semidirect
133. C₅₃×#390	C₂²	semidirect
134. C₅₃×#390	C₂²	semidirect
135. C₅₃×#390	C₂²	semidirect
136. C₅₃×#389	C₂²	semidirect
137. C₅₃×#389	C₂²	semidirect
138. C₅₃×#389	C₂²	semidirect
139. C₅₃×#388	C₂²	semidirect
140. C₅₃×#388	C₂²	semidirect
141. C₅₃×#388	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×#388	C₂²	semidirect
152. C₅₃×#388	C₂²	semidirect
153. C₅₃×#387	C₂²	semidirect
154. C₅₃×#387	C₂²	semidirect
163. C₅₃×#386	C₂²	semidirect
164. C₅₃×#386	C₂²	semidirect
165. C₅₃×#386	C₂²	semidirect
166. C₅₃×#386	C₂²	semidirect
167. C₅₃×#386	C₂²	semidirect
168. C₅₃×#386	C₂²	semidirect
169. C₅₃×#386	C₂²	semidirect
170. C₅₃×#386	C₂²	semidirect
171. C₅₃×#385	C₂²	semidirect
172. C₅₃×#385	C₂²	semidirect
173. C₅₃×#385	C₂²	semidirect
174. C₅₃×#385	C₂²	semidirect
175. C₅₃×#385	C₂²	semidirect
176. C₅₃×#385	C₂²	semidirect
177. C₅₃×#381	C₂²	semidirect
178. C₅₃×#381	C₂²	semidirect
179. C₅₃×#381	C₂²	semidirect
180. C₅₃×#381	C₂²	semidirect
181. C₅₃×#380	C₂²	semidirect
182. C₅₃×#380	C₂²	semidirect
183. C₅₃×#380	C₂²	semidirect
184. C₅₃×#380	C₂²	semidirect
185. C₅₃×#379	C₂²	semidirect
186. C₅₃×#379	C₂²	semidirect
187. C₄×C₄⋊C₄×C₅₃	C₂²	semidirect
188. C₅₃×#376	C₂²	semidirect
269. C₄×D₄×C₅₃	D₄	semidirect
805. #36724	C₅₃	direct (N × H)
894. C₂×#538	C₂×C₅₃	semidirect
895. C₂×#525	C₂×C₅₃	semidirect
896. #2849	C₂×C₅₃	semidirect
897. #2847	C₂×C₅₃	semidirect
898. #2705	C₂×C₅₃	semidirect
899. #2702	C₂×C₅₃	semidirect
900. #2700	C₂×C₅₃	semidirect
901. #2699	C₂×C₅₃	semidirect
902. #2687	C₂×C₅₃	semidirect
903. #2682	C₂×C₅₃	semidirect
904. #2681	C₂×C₅₃	semidirect
905. #2681	C₂×C₅₃	semidirect
906. #2679	C₂×C₅₃	semidirect
907. #2678	C₂×C₅₃	semidirect
908. #2678	C₂×C₅₃	semidirect
909. #2678	C₂×C₅₃	semidirect
910. #2672	C₂×C₅₃	semidirect
911. #2670	C₂×C₅₃	semidirect
912. #2669	C₂×C₅₃	semidirect
913. #2669	C₂×C₅₃	semidirect
914. #2635	C₂×C₅₃	semidirect
915. #2630	C₂×C₅₃	semidirect
916. #2610	C₂×C₅₃	semidirect
917. #2603	C₂×C₅₃	semidirect
918. #2601	C₂×C₅₃	semidirect
919. #2600	C₂×C₅₃	semidirect
920. #2544	C₂×C₅₃	semidirect
921. #2534	C₂×C₅₃	semidirect
922. #2407	C₂×C₅₃	semidirect
923. #2404	C₂×C₅₃	semidirect
924. #2319	C₂×C₅₃	semidirect
941. C₂⁴×C₄	C₂²×C₅₃	semidirect
944. C₂×#126	C₂²×C₅₃	semidirect
945. C₂×#126	C₂²×C₅₃	semidirect
947. C₂×#124	C₂²×C₅₃	semidirect
948. C₂×#124	C₂²×C₅₃	semidirect
954. C₂×#123	C₂²×C₅₃	semidirect
955. C₂×#123	C₂²×C₅₃	semidirect
956. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
957. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
958. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
959. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
967. C₂×#121	C₂²×C₅₃	semidirect
974. C₂×#120	C₂²×C₅₃	semidirect
975. C₂×#120	C₂²×C₅₃	semidirect
976. C₂×#120	C₂²×C₅₃	semidirect
977. C₂×#120	C₂²×C₅₃	semidirect
980. C₂×C₄×D₄	C₂²×C₅₃	semidirect
981. C₂×C₄×D₄	C₂²×C₅₃	semidirect
982. C₂×C₄×D₄	C₂²×C₅₃	semidirect
983. C₂×#117	C₂²×C₅₃	semidirect
984. C₂²×C₂²⋊C₄	C₂²×C₅₃	semidirect
985. #400	C₂²×C₅₃	semidirect
986. #399	C₂²×C₅₃	semidirect
987. #398	C₂²×C₅₃	semidirect
988. #398	C₂²×C₅₃	semidirect
989. #398	C₂²×C₅₃	semidirect
990. #397	C₂²×C₅₃	semidirect
991. #397	C₂²×C₅₃	semidirect
992. #397	C₂²×C₅₃	semidirect
993. #396	C₂²×C₅₃	semidirect
994. #396	C₂²×C₅₃	semidirect
995. #396	C₂²×C₅₃	semidirect
996. #396	C₂²×C₅₃	semidirect
997. #396	C₂²×C₅₃	semidirect
998. #396	C₂²×C₅₃	semidirect
999. #395	C₂²×C₅₃	semidirect
1008. #394	C₂²×C₅₃	semidirect
1009. #394	C₂²×C₅₃	semidirect
1010. #394	C₂²×C₅₃	semidirect
1011. #394	C₂²×C₅₃	semidirect
1012. #394	C₂²×C₅₃	semidirect
1013. #394	C₂²×C₅₃	semidirect
1014. #394	C₂²×C₅₃	semidirect
1015. #394	C₂²×C₅₃	semidirect
1016. #394	C₂²×C₅₃	semidirect
1017. #394	C₂²×C₅₃	semidirect
1018. #394	C₂²×C₅₃	semidirect
1019. #393	C₂²×C₅₃	semidirect
1020. #393	C₂²×C₅₃	semidirect
1021. #393	C₂²×C₅₃	semidirect
1030. #392	C₂²×C₅₃	semidirect
1031. #392	C₂²×C₅₃	semidirect
1032. #392	C₂²×C₅₃	semidirect
1033. #391	C₂²×C₅₃	semidirect
1034. #391	C₂²×C₅₃	semidirect
1040. #390	C₂²×C₅₃	semidirect
1041. #390	C₂²×C₅₃	semidirect
1042. #390	C₂²×C₅₃	semidirect
1043. #390	C₂²×C₅₃	semidirect
1044. #389	C₂²×C₅₃	semidirect
1045. #389	C₂²×C₅₃	semidirect
1046. #389	C₂²×C₅₃	semidirect
1047. #388	C₂²×C₅₃	semidirect
1048. #388	C₂²×C₅₃	semidirect
1049. #388	C₂²×C₅₃	semidirect
1050. #388	C₂²×C₅₃	semidirect
1051. #388	C₂²×C₅₃	semidirect
1052. #388	C₂²×C₅₃	semidirect
1053. #388	C₂²×C₅₃	semidirect
1054. #388	C₂²×C₅₃	semidirect
1055. #388	C₂²×C₅₃	semidirect
1056. #388	C₂²×C₅₃	semidirect
1057. #388	C₂²×C₅₃	semidirect
1058. #388	C₂²×C₅₃	semidirect
1059. #388	C₂²×C₅₃	semidirect
1060. #388	C₂²×C₅₃	semidirect
1061. #387	C₂²×C₅₃	semidirect
1062. #387	C₂²×C₅₃	semidirect
1071. #386	C₂²×C₅₃	semidirect
1072. #386	C₂²×C₅₃	semidirect
1073. #386	C₂²×C₅₃	semidirect
1074. #386	C₂²×C₅₃	semidirect
1075. #386	C₂²×C₅₃	semidirect
1076. #386	C₂²×C₅₃	semidirect
1077. #386	C₂²×C₅₃	semidirect
1078. #386	C₂²×C₅₃	semidirect
1079. #385	C₂²×C₅₃	semidirect
1080. #385	C₂²×C₅₃	semidirect
1081. #385	C₂²×C₅₃	semidirect
1082. #385	C₂²×C₅₃	semidirect
1083. #385	C₂²×C₅₃	semidirect
1084. #385	C₂²×C₅₃	semidirect
1085. #381	C₂²×C₅₃	semidirect
1086. #381	C₂²×C₅₃	semidirect
1087. #381	C₂²×C₅₃	semidirect
1088. #381	C₂²×C₅₃	semidirect
1089. #380	C₂²×C₅₃	semidirect
1090. #380	C₂²×C₅₃	semidirect
1091. #380	C₂²×C₅₃	semidirect
1092. #380	C₂²×C₅₃	semidirect
1093. #379	C₂²×C₅₃	semidirect
1094. #379	C₂²×C₅₃	semidirect
1095. C₄×C₄⋊C₄	C₂²×C₅₃	semidirect
1096. #376	C₂²×C₅₃	semidirect
1097. C₅₃	#36724	direct (N × H)
1178. 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×#538	2
C₂×C₅₃×#525	2
C₅₃×#2849	2
C₅₃×#2847	2
C₅₃×#2705	2
C₅₃×#2702	2
C₅₃×#2700	2
C₅₃×#2699	2
C₅₃×#2687	2
C₅₃×#2682	2
C₅₃×#2681	2
C₅₃×#2679	2
C₅₃×#2678	2
C₅₃×#2672	2
C₅₃×#2670	2
C₅₃×#2669	2
C₅₃×#2635	2
C₅₃×#2630	2
C₅₃×#2610	2
C₅₃×#2603	2
C₅₃×#2601	2
C₅₃×#2600	2
C₅₃×#2544	2
C₅₃×#2534	2
C₅₃×#2407	2
C₅₃×#2404	2
C₅₃×#2319	2
#36724	53

Subgroups — C53×#36724 #27244236

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#36724 #27244236