Subgroups — C₅₃×#62014 #27269526

Order 13568.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3562	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#3377	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#3309	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#3287	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#3284	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#3259	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#3221	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₅₃	C₂²	1	1	yes	characteristic, complemented
33	C₂×AGL(1,ℤ/8)×C₅₃	C₂²	1	1	yes	characteristic
34	C₂×#135×C₅₃	C₂²	1	1	yes	characteristic
35	C₂×#135×C₅₃	C₂²	1	1	yes	characteristic
36	C₂×#135×C₅₃	C₂²	1	1	yes	characteristic
37	C₂×#135×C₅₃	C₂²	1	1	yes	characteristic, complemented
38	C₅₃×#562	—	2	1	no	—
39	C₅₃×#560	—	2	1	no	—
40	C₅₃×#559	C₂²	1	1	yes	characteristic
41	C₅₃×#557	C₂²	1	1	yes	characteristic, complemented
42	C₅₃×#556	C₂²	1	1	yes	characteristic
43	C₅₃×#553	—	2	1	no	—
44	C₅₃×#553	—	2	1	no	—
45	C₅₃×#553	—	2	1	no	—
46	C₅₃×#553	C₂²	1	1	yes	characteristic
47	C₅₃×#553	C₂²	1	1	yes	characteristic, complemented
48	C₅₃×#551	—	2	1	no	—
49	C₅₃×#550	—	2	1	no	—
50	C₅₃×#550	C₂²	1	1	yes	characteristic
51	C₅₃×#550	C₂²	1	1	yes	characteristic
52	C₅₃×#550	C₂²	1	1	yes	characteristic
53	C₅₃×#550	C₂²	1	1	yes	characteristic, complemented
54	C₅₃×#550	C₂²	1	1	yes	characteristic, complemented
55	C₅₃×#548	C₂²	1	1	yes	characteristic
56	C₅₃×#548	C₂²	1	1	yes	characteristic
57	C₅₃×#547	—	2	1	no	—
58	C₅₃×#547	C₂²	1	1	yes	characteristic
59	C₅₃×#547	C₂²	1	1	yes	characteristic
60	C₅₃×#546	C₂²	1	1	yes	characteristic
61	C₅₃×#546	C₂²	1	1	yes	characteristic
62	C₅₃×#541	C₂²	1	1	yes	characteristic
63	C₅₃×#540	—	2	1	no	—
64	C₅₃×#540	—	2	1	no	—
65	C₅₃×#540	—	2	1	no	—
66	C₅₃×#540	C₂²	1	1	yes	characteristic
67	C₅₃×#540	C₂²	1	1	yes	characteristic
68	C₅₃×#540	C₂²	1	1	yes	characteristic, complemented
69	C₅₃×#539	—	2	1	no	—
70	C₅₃×#538	—	2	1	no	—
71	C₅₃×#538	—	2	1	no	—
72	C₅₃×#536	C₂²	1	1	yes	characteristic
73	C₅₃×#535	C₂²	1	1	yes	characteristic
74	C₅₃×#532	—	2	1	no	—
75	C₅₃×#532	C₂²	1	1	yes	characteristic
76	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
77	C₅₃×#529	—	2	1	no	—
78	C₅₃×#529	C₂²	1	1	yes	characteristic
79	C₅₃×#529	C₂²	1	1	yes	characteristic
80	C₅₃×#520	C₂²	1	1	yes	characteristic
81	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
82	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
83	C₅₃×#496	C₂²	1	1	yes	characteristic
84	C₅₃×#496	C₂²	1	1	yes	characteristic
85	C₅₃×#496	C₂²	1	1	yes	characteristic
86	C₅₃×#496	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#493	C₂²	1	1	yes	characteristic
88	C₅₃×#492	C₂²	1	1	yes	characteristic, complemented
89	C₅₃×#491	C₂²	1	1	yes	characteristic, complemented
90	C₅₃×#490	C₂²	1	1	yes	characteristic
91	C₅₃×#489	C₂²	1	1	yes	characteristic
92	C₅₃×#489	C₂²	1	1	yes	characteristic, complemented
93	C₅₃×#488	C₂²	1	1	yes	characteristic
94	C₅₃×#488	C₂²	1	1	yes	characteristic
95	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
96	C₅₃×#484	C₂²	1	1	yes	characteristic
97	C₅₃×#483	C₂²	1	1	yes	characteristic
98	C₅₃×#482	C₂²	1	1	yes	characteristic
99	C₅₃×#481	C₂²	1	1	yes	characteristic
100	C₅₃×#480	C₂²	1	1	yes	characteristic, complemented
101	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
102	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
103	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
104	C₅₃×#478	C₂²	1	1	yes	characteristic
105	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
106	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
107	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#476	C₂²	1	1	yes	characteristic
111	C₅₃×#469	C₂²	1	1	yes	characteristic
112	C₅₃×#469	C₂²	1	1	yes	characteristic, complemented
113	C₅₃×#468	C₂²	1	1	yes	characteristic
114	C₅₃×#468	C₂²	1	1	yes	characteristic
115	C₅₃×#466	C₂²	1	1	yes	characteristic
116	C₅₃×#466	C₂²	1	1	yes	characteristic
117	C₅₃×#466	C₂²	1	1	yes	characteristic
118	C₅₃×#466	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#465	C₂²	1	1	yes	characteristic
120	C₅₃×#465	C₂²	1	1	yes	characteristic
121	C₅₃×#465	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#465	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#464	C₂²	1	1	yes	characteristic
124	C₅₃×#464	C₂²	1	1	yes	characteristic
125	C₅₃×#464	C₂²	1	1	yes	characteristic
126	C₅₃×#464	C₂²	1	1	yes	characteristic
127	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
128	C₅₃×#463	C₂²	1	1	yes	characteristic
129	C₅₃×#463	C₂²	1	1	yes	characteristic
130	C₅₃×#463	C₂²	1	1	yes	characteristic
131	C₅₃×#463	C₂²	1	1	yes	characteristic
132	C₅₃×#463	C₂²	1	1	yes	characteristic
133	C₅₃×#463	C₂²	1	1	yes	characteristic
134	C₅₃×#463	C₂²	1	1	yes	characteristic, complemented
135	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
136	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
137	C₅₃×#461	C₂²	1	1	yes	characteristic, complemented
138	C₅₃×#461	C₂²	1	1	yes	characteristic, complemented
139	C₅₃×#461	C₂²	1	1	yes	characteristic, complemented
140	C₅₃×#461	C₂²	1	1	yes	characteristic, complemented
141	C₅₃×#460	C₂²	1	1	yes	characteristic
142	C₅₃×#460	C₂²	1	1	yes	characteristic
143	C₅₃×#460	C₂²	1	1	yes	characteristic, complemented
144	C₅₃×#460	C₂²	1	1	yes	characteristic, complemented
145	C₅₃×#460	C₂²	1	1	yes	characteristic, complemented
146	C₅₃×#459	C₂²	1	1	yes	characteristic
147	C₅₃×#459	C₂²	1	1	yes	characteristic
148	C₅₃×#459	C₂²	1	1	yes	characteristic
149	C₅₃×#459	C₂²	1	1	yes	characteristic
150	C₅₃×#459	C₂²	1	1	yes	characteristic
151	C₅₃×#459	C₂²	1	1	yes	characteristic
152	C₅₃×#459	C₂²	1	1	yes	characteristic, complemented
153	C₅₃×#452	C₂²	1	1	yes	characteristic
154	C₅₃×#452	C₂²	1	1	yes	characteristic
155	C₅₃×#452	C₂²	1	1	yes	characteristic, complemented
156	C₅₃×#449	C₂²	1	1	yes	characteristic
157	C₅₃×#449	C₂²	1	1	yes	characteristic
158	C₅₃×#449	C₂²	1	1	yes	characteristic
159	C₅₃×#449	C₂²	1	1	yes	characteristic
160	C₅₃×#449	C₂²	1	1	yes	characteristic
161	C₅₃×#449	C₂²	1	1	yes	characteristic
162	C₅₃×#449	C₂²	1	1	yes	characteristic
163	C₅₃×#449	C₂²	1	1	yes	characteristic
164	C₅₃×#449	C₂²	1	1	yes	characteristic, complemented
165	C₅₃×#449	C₂²	1	1	yes	characteristic, complemented
166	C₅₃×#449	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#448	C₂²	1	1	yes	characteristic, complemented
168	C₅₃×#448	C₂²	1	1	yes	characteristic, complemented
169	C₅₃×#447	C₂²	1	1	yes	characteristic
170	C₅₃×#447	C₂²	1	1	yes	characteristic
171	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
172	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#442	C₂²	1	1	yes	characteristic
174	C₅₃×#442	C₂²	1	1	yes	characteristic, complemented
175	C₅₃×#441	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#441	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#440	C₂²	1	1	yes	characteristic
178	C₅₃×#440	C₂²	1	1	yes	characteristic
179	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₈×C₅₃	C₂²	1	1	yes	characteristic
185	C₅₃×#435	C₂²	1	1	yes	characteristic
186	C₅₃×#435	C₂²	1	1	yes	characteristic
187	C₅₃×#435	C₂²	1	1	yes	characteristic
188	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
189	C₈×D₄×C₅₃	C₂²	1	1	yes	characteristic
190	C₈×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
191	C₅₃×#433	C₂²	1	1	yes	characteristic
192	C₅₃×#433	C₂²	1	1	yes	characteristic, complemented
193	C₅₃×#432	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#424	C₂²	1	1	yes	characteristic
195	C₅₃×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄⋊C₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#417	C₂²	1	1	yes	characteristic
198	C₅₃×#417	C₂²	1	1	yes	characteristic
199	C₅₃×#416	C₂²	1	1	yes	characteristic
200	C₅₃×#416	C₂²	1	1	yes	characteristic, complemented
201	C₂×#103×C₅₃	C₂²	1	1	yes	characteristic, complemented
202	C₂×#102×C₅₃	C₂²	1	1	yes	characteristic
203	C₂×#41×C₅₃	—	2	1	no	—
204	C₂×#41×C₅₃	—	2	1	no	—
205	C₂×#41×C₅₃	—	2	1	no	—
206	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
207	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
208	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
209	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
210	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
211	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
212	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
213	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
215	#137×C₅₃	—	4	2	no	—
216	AGL(1,ℤ/8)×C₅₃	—	4	2	no	—
217	#135×C₅₃	—	4	2	no	—
218	#135×C₅₃	—	4	2	no	—
219	#135×C₅₃	—	4	2	no	—
220	#135×C₅₃	—	4	2	no	—
221	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
224	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
225	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
226	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
228	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
236	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
237	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
238	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
239	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
240	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
242	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
243	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
244	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
246	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
251	C₄⋊Q₈×C₅₃	—	2	1	no	—
252	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
253	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
254	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
255	#127×C₅₃	—	2	1	no	—
256	#127×C₅₃	—	2	1	no	—
257	#127×C₅₃	—	2	1	no	—
258	#127×C₅₃	—	2	1	no	—
259	#127×C₅₃	C₂³	1	1	yes	characteristic
260	#127×C₅₃	C₂³	1	1	yes	characteristic
261	#127×C₅₃	C₂³	1	1	yes	characteristic
262	#127×C₅₃	C₂³	1	1	yes	characteristic
263	#127×C₅₃	C₂³	1	1	yes	characteristic
264	#126×C₅₃	—	2	1	no	—
265	#126×C₅₃	—	2	1	no	—
266	#126×C₅₃	—	2	1	no	—
267	#126×C₅₃	—	2	1	no	—
268	#126×C₅₃	—	2	1	no	—
269	#126×C₅₃	—	2	1	no	—
270	#126×C₅₃	—	2	1	no	—
271	#126×C₅₃	D₄	1	1	yes	characteristic
272	#126×C₅₃	D₄	1	1	yes	characteristic
273	#125×C₅₃	—	2	1	no	—
274	#125×C₅₃	—	2	1	no	—
275	#125×C₅₃	—	2	1	no	—
276	#125×C₅₃	—	2	1	no	—
277	#125×C₅₃	D₄	1	1	yes	characteristic
278	#125×C₅₃	C₂³	1	1	yes	characteristic
279	#125×C₅₃	C₂³	1	1	yes	characteristic
280	#125×C₅₃	C₂³	1	1	yes	characteristic
281	#124×C₅₃	—	2	1	no	—
282	#124×C₅₃	—	2	1	no	—
283	#124×C₅₃	—	2	1	no	—
284	#124×C₅₃	—	2	1	no	—
285	#124×C₅₃	D₄	1	1	yes	characteristic
286	#124×C₅₃	C₂³	1	1	yes	characteristic
287	#124×C₅₃	C₂³	1	1	yes	characteristic
288	#124×C₅₃	C₂³	1	1	yes	characteristic
289	#124×C₅₃	C₂³	1	1	yes	characteristic
290	#124×C₅₃	C₂³	1	1	yes	characteristic
291	#123×C₅₃	—	2	1	no	—
292	#123×C₅₃	—	2	1	no	—
293	#123×C₅₃	—	2	1	no	—
294	#123×C₅₃	—	2	1	no	—
295	#123×C₅₃	—	2	1	no	—
296	#123×C₅₃	—	2	1	no	—
297	#123×C₅₃	—	2	1	no	—
298	#123×C₅₃	—	2	1	no	—
299	#123×C₅₃	—	2	1	no	—
300	#123×C₅₃	—	2	1	no	—
301	#123×C₅₃	—	2	1	no	—
302	#123×C₅₃	—	2	1	no	—
303	#123×C₅₃	—	2	1	no	—
304	#123×C₅₃	—	2	1	no	—
305	#123×C₅₃	—	2	1	no	—
306	#123×C₅₃	—	2	1	no	—
307	#123×C₅₃	—	2	1	no	—
308	#123×C₅₃	—	2	1	no	—
309	#123×C₅₃	—	2	1	no	—
310	#123×C₅₃	D₄	1	1	yes	characteristic
311	#123×C₅₃	D₄	1	1	yes	characteristic
312	C₂²⋊Q₈×C₅₃	—	2	1	no	—
313	C₂²⋊Q₈×C₅₃	—	2	1	no	—
314	C₂²⋊Q₈×C₅₃	—	2	1	no	—
315	C₂²⋊Q₈×C₅₃	—	2	1	no	—
316	C₂²⋊Q₈×C₅₃	—	2	1	no	—
317	C₂²⋊Q₈×C₅₃	—	2	1	no	—
318	C₂²⋊Q₈×C₅₃	D₄	1	1	yes	characteristic
319	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
321	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
322	#121×C₅₃	—	2	1	no	—
323	#121×C₅₃	—	2	1	no	—
324	#121×C₅₃	—	2	1	no	—
325	#121×C₅₃	—	2	1	no	—
326	#121×C₅₃	—	2	1	no	—
327	#121×C₅₃	—	2	1	no	—
328	#121×C₅₃	—	2	1	no	—
329	#121×C₅₃	—	2	1	no	—
330	#121×C₅₃	—	2	1	no	—
331	#121×C₅₃	—	2	1	no	—
332	#121×C₅₃	—	2	1	no	—
333	#121×C₅₃	—	2	1	no	—
334	#121×C₅₃	—	2	1	no	—
335	#121×C₅₃	—	2	1	no	—
336	#121×C₅₃	—	2	1	no	—
337	#121×C₅₃	—	2	1	no	—
338	#121×C₅₃	—	2	1	no	—
339	#121×C₅₃	—	2	1	no	—
340	#121×C₅₃	—	2	1	no	—
341	#121×C₅₃	—	2	1	no	—
342	#121×C₅₃	—	2	1	no	—
343	#121×C₅₃	—	2	1	no	—
344	#121×C₅₃	—	2	1	no	—
345	#121×C₅₃	—	2	1	no	—
346	#121×C₅₃	—	2	1	no	—
347	#121×C₅₃	—	2	1	no	—
348	#121×C₅₃	—	2	1	no	—
349	#121×C₅₃	—	2	1	no	—
350	#121×C₅₃	—	2	1	no	—
351	#121×C₅₃	D₄	1	1	yes	characteristic
352	#121×C₅₃	C₂³	1	1	yes	characteristic
353	#121×C₅₃	C₂³	1	1	yes	characteristic
354	#121×C₅₃	C₂³	1	1	yes	characteristic
355	#121×C₅₃	C₂³	1	1	yes	characteristic
356	#121×C₅₃	C₂³	1	1	yes	characteristic
357	#121×C₅₃	C₂³	1	1	yes	characteristic
358	#121×C₅₃	C₂³	1	1	yes	characteristic
359	#121×C₅₃	C₂³	1	1	yes	characteristic
360	#121×C₅₃	C₂³	1	1	yes	characteristic
361	#120×C₅₃	—	2	1	no	—
362	#120×C₅₃	—	2	1	no	—
363	#120×C₅₃	—	2	1	no	—
364	#120×C₅₃	—	2	1	no	—
365	C₄×Q₈×C₅₃	—	2	1	no	—
366	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₅₃	—	2	1	no	—
375	C₄×D₄×C₅₃	—	2	1	no	—
376	C₄×D₄×C₅₃	—	2	1	no	—
377	C₄×D₄×C₅₃	—	2	1	no	—
378	C₄×D₄×C₅₃	—	2	1	no	—
379	C₄×D₄×C₅₃	—	2	1	no	—
380	C₄×D₄×C₅₃	—	2	1	no	—
381	C₄×D₄×C₅₃	—	2	1	no	—
382	C₄×D₄×C₅₃	—	2	1	no	—
383	C₄×D₄×C₅₃	—	2	1	no	—
384	C₄×D₄×C₅₃	—	2	1	no	—
385	C₄×D₄×C₅₃	—	2	1	no	—
386	C₄×D₄×C₅₃	—	2	1	no	—
387	C₄×D₄×C₅₃	—	2	1	no	—
388	C₄×D₄×C₅₃	—	2	1	no	—
389	C₄×D₄×C₅₃	—	2	1	no	—
390	C₄×D₄×C₅₃	—	2	1	no	—
391	C₄×D₄×C₅₃	—	2	1	no	—
392	C₄×D₄×C₅₃	—	2	1	no	—
393	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
394	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
398	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
399	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
400	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
403	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
404	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
405	#117×C₅₃	—	2	1	no	—
406	#117×C₅₃	—	2	1	no	—
407	#117×C₅₃	—	2	1	no	—
408	#117×C₅₃	—	2	1	no	—
409	#117×C₅₃	—	2	1	no	—
410	#117×C₅₃	C₂³	1	1	yes	characteristic
411	#117×C₅₃	C₂³	1	1	yes	characteristic
412	#117×C₅₃	C₂³	1	1	yes	characteristic
413	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
414	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
415	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
416	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
417	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
418	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
420	C₂×C₄²×C₅₃	—	2	1	no	—
421	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
422	#107×C₅₃	C₂³	1	1	yes	characteristic
423	#107×C₅₃	C₂³	1	1	yes	characteristic
424	#107×C₅₃	C₂³	1	1	yes	characteristic
425	#107×C₅₃	C₂³	1	1	yes	characteristic
426	#106×C₅₃	C₂³	1	1	yes	characteristic
427	#106×C₅₃	C₂³	1	1	yes	characteristic
428	#106×C₅₃	C₂³	1	1	yes	characteristic
429	#106×C₅₃	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
433	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
434	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
435	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
436	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
437	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
440	#103×C₅₃	C₂³	1	1	yes	characteristic
441	#103×C₅₃	C₂³	1	1	yes	characteristic
442	#103×C₅₃	C₂³	1	1	yes	characteristic
443	#103×C₅₃	C₂³	1	1	yes	characteristic
444	#103×C₅₃	C₂³	1	1	yes	characteristic
445	#103×C₅₃	C₂³	1	1	yes	characteristic
446	#103×C₅₃	C₂³	1	1	yes	characteristic
447	#103×C₅₃	C₂³	1	1	yes	characteristic
448	#103×C₅₃	C₂³	1	1	yes	characteristic
449	#103×C₅₃	C₂³	1	1	yes	characteristic
450	#103×C₅₃	C₂³	1	1	yes	characteristic
451	#103×C₅₃	C₂³	1	1	yes	characteristic
452	#103×C₅₃	C₂³	1	1	yes	characteristic
453	#103×C₅₃	C₂³	1	1	yes	characteristic
454	#102×C₅₃	C₂³	1	1	yes	characteristic
455	#102×C₅₃	C₂³	1	1	yes	characteristic
456	#102×C₅₃	C₂³	1	1	yes	characteristic
457	#102×C₅₃	C₂³	1	1	yes	characteristic
458	#102×C₅₃	C₂³	1	1	yes	characteristic
459	#102×C₅₃	C₂³	1	1	yes	characteristic
460	#102×C₅₃	C₂³	1	1	yes	characteristic
461	#102×C₅₃	C₂³	1	1	yes	characteristic
462	#102×C₅₃	C₂³	1	1	yes	characteristic
463	#102×C₅₃	C₂³	1	1	yes	characteristic
464	#102×C₅₃	C₂³	1	1	yes	characteristic
465	#102×C₅₃	C₂³	1	1	yes	characteristic
466	#102×C₅₃	C₂³	1	1	yes	characteristic
467	#102×C₅₃	C₂³	1	1	yes	characteristic
468	#102×C₅₃	C₂³	1	1	yes	characteristic
469	#102×C₅₃	C₂³	1	1	yes	characteristic
470	#102×C₅₃	C₂³	1	1	yes	characteristic
471	#102×C₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
478	#97×C₅₃	C₂³	1	1	yes	characteristic
479	#97×C₅₃	C₂³	1	1	yes	characteristic
480	#97×C₅₃	C₂³	1	1	yes	characteristic
481	#97×C₅₃	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
484	C₂⁴×C₅₃	—	2	1	no	—
485	#41×C₅₃	—	2	2	no	—
486	#41×C₅₃	—	2	2	no	—
487	#41×C₅₃	—	2	2	no	—
488	#41×C₅₃	—	4	1	no	—
489	#41×C₅₃	—	4	1	no	—
490	#41×C₅₃	—	4	1	no	—
491	#41×C₅₃	—	4	1	no	—
492	#41×C₅₃	—	4	1	no	—
493	#41×C₅₃	—	4	1	no	—
494	#41×C₅₃	—	4	1	no	—
495	#41×C₅₃	—	4	1	no	—
496	#41×C₅₃	—	4	1	no	—
497	#41×C₅₃	—	4	1	no	—
498	#41×C₅₃	—	4	1	no	—
499	#41×C₅₃	—	8	2	no	—
500	#41×C₅₃	—	8	2	no	—
501	#41×C₅₃	—	8	2	no	—
502	C₂×Q₈×C₅₃	—	2	1	no	—
503	C₂×Q₈×C₅₃	—	2	1	no	—
504	C₂×Q₈×C₅₃	—	4	1	no	—
505	C₂×Q₈×C₅₃	—	4	1	no	—
506	C₂×Q₈×C₅₃	C₂×D₄	1	1	yes	characteristic
507	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₅₃	—	2	1	no	—
512	C₂×D₄×C₅₃	—	2	1	no	—
513	C₂×D₄×C₅₃	—	2	1	no	—
514	C₂×D₄×C₅₃	—	2	1	no	—
515	C₂×D₄×C₅₃	—	2	1	no	—
516	C₂×D₄×C₅₃	—	2	1	no	—
517	C₂×D₄×C₅₃	—	2	1	no	—
518	C₂×D₄×C₅₃	—	2	1	no	—
519	C₂×D₄×C₅₃	—	2	1	no	—
520	C₂×D₄×C₅₃	—	2	1	no	—
521	C₂×D₄×C₅₃	—	2	1	no	—
522	C₂×D₄×C₅₃	—	2	1	no	—
523	C₂×D₄×C₅₃	—	2	1	no	—
524	C₂×D₄×C₅₃	—	2	1	no	—
525	C₂×D₄×C₅₃	—	2	1	no	—
526	C₂×D₄×C₅₃	—	2	1	no	—
527	C₂×D₄×C₅₃	—	2	1	no	—
528	C₂×D₄×C₅₃	—	2	1	no	—
529	C₂×D₄×C₅₃	—	2	1	no	—
530	C₂×D₄×C₅₃	—	2	1	no	—
531	C₂×D₄×C₅₃	—	2	1	no	—
532	C₂×D₄×C₅₃	—	2	1	no	—
533	C₂×D₄×C₅₃	—	2	1	no	—
534	C₂×D₄×C₅₃	—	2	1	no	—
535	C₂×D₄×C₅₃	—	2	1	no	—
536	C₂×D₄×C₅₃	—	2	1	no	—
537	C₂×D₄×C₅₃	—	2	1	no	—
538	C₂×D₄×C₅₃	—	4	1	no	—
539	C₂×D₄×C₅₃	—	4	1	no	—
540	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
541	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
542	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
543	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
544	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
545	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
546	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
547	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
548	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₅₃	—	2	1	no	—
550	C₂²×C₄×C₅₃	—	2	1	no	—
551	C₂²×C₄×C₅₃	—	2	1	no	—
552	C₂²×C₄×C₅₃	—	2	1	no	—
553	C₂²×C₄×C₅₃	—	2	1	no	—
554	C₂²×C₄×C₅₃	—	2	1	no	—
555	C₂²×C₄×C₅₃	—	2	1	no	—
556	C₂²×C₄×C₅₃	—	2	1	no	—
557	C₂²×C₄×C₅₃	—	2	1	no	—
558	C₂²×C₄×C₅₃	—	2	1	no	—
559	C₂²×C₄×C₅₃	—	2	1	no	—
560	C₂²×C₄×C₅₃	—	2	1	no	—
561	C₂²×C₄×C₅₃	—	2	1	no	—
562	C₂²×C₄×C₅₃	—	2	1	no	—
563	C₂²×C₄×C₅₃	—	2	1	no	—
564	C₂²×C₄×C₅₃	—	2	1	no	—
565	C₂²×C₄×C₅₃	—	2	1	no	—
566	C₂²×C₄×C₅₃	—	2	1	no	—
567	C₂²×C₄×C₅₃	—	2	1	no	—
568	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
573	Q₁₆×C₅₃	—	2	2	no	—
574	Q₁₆×C₅₃	—	2	2	no	—
575	Q₁₆×C₅₃	—	2	2	no	—
576	SD₁₆×C₅₃	—	2	2	no	—
577	SD₁₆×C₅₃	—	2	2	no	—
578	SD₁₆×C₅₃	—	2	2	no	—
579	SD₁₆×C₅₃	—	4	1	no	—
580	SD₁₆×C₅₃	—	4	1	no	—
581	SD₁₆×C₅₃	—	4	1	no	—
582	SD₁₆×C₅₃	—	4	1	no	—
583	SD₁₆×C₅₃	—	4	1	no	—
584	SD₁₆×C₅₃	—	4	1	no	—
585	SD₁₆×C₅₃	—	4	1	no	—
586	SD₁₆×C₅₃	—	4	1	no	—
587	SD₁₆×C₅₃	—	4	1	no	—
588	D₈×C₅₃	—	4	1	no	—
589	D₈×C₅₃	—	4	1	no	—
590	D₈×C₅₃	—	4	1	no	—
591	D₈×C₅₃	—	4	1	no	—
592	D₈×C₅₃	—	4	1	no	—
593	D₈×C₅₃	—	4	1	no	—
594	D₈×C₅₃	—	4	1	no	—
595	D₈×C₅₃	—	4	1	no	—
596	D₈×C₅₃	—	4	1	no	—
597	M₁₆×C₅₃	—	4	1	no	—
598	M₁₆×C₅₃	—	4	1	no	—
599	C₂×C₈×C₅₃	—	4	1	no	—
600	C₂×C₈×C₅₃	—	4	1	no	—
601	C₂×C₈×C₅₃	—	4	1	no	—
602	C₂×C₈×C₅₃	—	4	1	no	—
603	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₅₃	—	2	1	no	—
612	C₄⋊C₄×C₅₃	—	2	1	no	—
613	C₄⋊C₄×C₅₃	—	2	1	no	—
614	C₄⋊C₄×C₅₃	—	2	1	no	—
615	C₄⋊C₄×C₅₃	—	2	1	no	—
616	C₄⋊C₄×C₅₃	—	2	1	no	—
617	C₄⋊C₄×C₅₃	—	2	1	no	—
618	C₄⋊C₄×C₅₃	—	2	1	no	—
619	C₄⋊C₄×C₅₃	—	2	1	no	—
620	C₄⋊C₄×C₅₃	—	2	1	no	—
621	C₄⋊C₄×C₅₃	—	2	1	no	—
622	C₄⋊C₄×C₅₃	—	2	1	no	—
623	C₄⋊C₄×C₅₃	—	2	1	no	—
624	C₄⋊C₄×C₅₃	—	2	1	no	—
625	C₄⋊C₄×C₅₃	—	2	1	no	—
626	C₄⋊C₄×C₅₃	—	2	1	no	—
627	C₄⋊C₄×C₅₃	—	2	1	no	—
628	C₄⋊C₄×C₅₃	—	2	1	no	—
629	C₄⋊C₄×C₅₃	—	2	1	no	—
630	C₄⋊C₄×C₅₃	—	2	1	no	—
631	C₄⋊C₄×C₅₃	—	2	1	no	—
632	C₄⋊C₄×C₅₃	—	2	1	no	—
633	C₄⋊C₄×C₅₃	—	2	1	no	—
634	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
640	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
641	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
642	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
643	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
644	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
645	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
646	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
647	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
648	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
649	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
650	C₂²⋊C₄×C₅₃	—	2	1	no	—
651	C₂²⋊C₄×C₅₃	—	2	1	no	—
652	C₂²⋊C₄×C₅₃	—	2	1	no	—
653	C₂²⋊C₄×C₅₃	—	2	1	no	—
654	C₂²⋊C₄×C₅₃	—	2	1	no	—
655	C₂²⋊C₄×C₅₃	—	2	1	no	—
656	C₂²⋊C₄×C₅₃	—	2	1	no	—
657	C₂²⋊C₄×C₅₃	—	2	1	no	—
658	C₂²⋊C₄×C₅₃	—	2	1	no	—
659	C₂²⋊C₄×C₅₃	—	2	1	no	—
660	C₂²⋊C₄×C₅₃	—	2	1	no	—
661	C₂²⋊C₄×C₅₃	—	2	1	no	—
662	C₂²⋊C₄×C₅₃	—	2	1	no	—
663	C₂²⋊C₄×C₅₃	—	2	1	no	—
664	C₂²⋊C₄×C₅₃	—	2	1	no	—
665	C₂²⋊C₄×C₅₃	—	2	1	no	—
666	C₂²⋊C₄×C₅₃	—	2	1	no	—
667	C₂²⋊C₄×C₅₃	—	2	1	no	—
668	C₂²⋊C₄×C₅₃	—	2	1	no	—
669	C₂²⋊C₄×C₅₃	—	2	1	no	—
670	C₂²⋊C₄×C₅₃	—	2	1	no	—
671	C₂²⋊C₄×C₅₃	—	2	1	no	—
672	C₂²⋊C₄×C₅₃	—	2	1	no	—
673	C₂²⋊C₄×C₅₃	—	2	1	no	—
674	C₂²⋊C₄×C₅₃	—	2	1	no	—
675	C₂²⋊C₄×C₅₃	—	2	1	no	—
676	C₂²⋊C₄×C₅₃	—	2	1	no	—
677	C₂²⋊C₄×C₅₃	—	2	1	no	—
678	C₂²⋊C₄×C₅₃	—	2	1	no	—
679	C₂²⋊C₄×C₅₃	—	2	1	no	—
680	C₂²⋊C₄×C₅₃	—	2	1	no	—
681	C₂²⋊C₄×C₅₃	—	2	1	no	—
682	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
692	C₄²×C₅₃	—	2	1	no	—
693	C₄²×C₅₃	—	2	1	no	—
694	C₄²×C₅₃	—	2	1	no	—
695	C₄²×C₅₃	—	2	1	no	—
696	C₄²×C₅₃	—	2	1	no	—
697	C₄²×C₅₃	—	2	1	no	—
698	C₄²×C₅₃	—	2	1	no	—
699	C₄²×C₅₃	—	2	1	no	—
700	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
701	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
703	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
704	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
705	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
706	C₂³×C₅₃	—	2	1	no	—
707	C₂³×C₅₃	—	2	1	no	—
708	C₂³×C₅₃	—	2	1	no	—
709	C₂³×C₅₃	—	2	1	no	—
710	C₂³×C₅₃	—	2	1	no	—
711	C₂³×C₅₃	—	2	1	no	—
712	C₂³×C₅₃	—	8	1	no	—
713	C₂³×C₅₃	—	8	1	no	—
714	C₂³×C₅₃	—	8	1	no	—
715	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
716	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
717	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
718	Q₈×C₅₃	—	2	1	no	—
719	Q₈×C₅₃	—	2	1	no	—
720	Q₈×C₅₃	—	2	1	no	—
721	Q₈×C₅₃	—	2	1	no	—
722	Q₈×C₅₃	—	2	1	no	—
723	Q₈×C₅₃	—	2	1	no	—
724	Q₈×C₅₃	—	2	1	no	—
725	Q₈×C₅₃	—	4	1	no	—
726	Q₈×C₅₃	—	4	2	no	—
727	Q₈×C₅₃	—	8	1	no	—
728	Q₈×C₅₃	H(5,𝔽₂)	1	2	yes	—
729	D₄×C₅₃	—	2	1	no	—
730	D₄×C₅₃	—	2	1	no	—
731	D₄×C₅₃	—	2	1	no	—
732	D₄×C₅₃	—	2	1	no	—
733	D₄×C₅₃	—	2	1	no	—
734	D₄×C₅₃	—	2	1	no	—
735	D₄×C₅₃	—	2	1	no	—
736	D₄×C₅₃	—	2	1	no	—
737	D₄×C₅₃	—	2	1	no	—
738	D₄×C₅₃	—	2	1	no	—
739	D₄×C₅₃	—	2	1	no	—
740	D₄×C₅₃	—	2	1	no	—
741	D₄×C₅₃	—	4	1	no	—
742	D₄×C₅₃	—	4	1	no	—
743	D₄×C₅₃	—	4	1	no	—
744	D₄×C₅₃	—	4	2	no	—
745	D₄×C₅₃	—	4	2	no	—
746	D₄×C₅₃	—	4	2	no	—
747	D₄×C₅₃	—	4	2	no	—
748	D₄×C₅₃	—	8	1	no	—
749	D₄×C₅₃	—	8	1	no	—
750	D₄×C₅₃	—	8	1	no	—
751	D₄×C₅₃	—	8	1	no	—
752	D₄×C₅₃	—	8	1	no	—
753	D₄×C₅₃	—	8	1	no	—
754	D₄×C₅₃	—	8	1	no	—
755	D₄×C₅₃	—	8	1	no	—
756	D₄×C₅₃	—	8	1	no	—
757	D₄×C₅₃	—	8	1	no	—
758	D₄×C₅₃	—	8	1	no	—
759	D₄×C₅₃	—	8	1	no	—
760	D₄×C₅₃	—	8	1	no	—
761	D₄×C₅₃	—	8	1	no	—
762	D₄×C₅₃	—	8	1	no	—
763	D₄×C₅₃	—	8	1	no	—
764	D₄×C₅₃	—	8	1	no	—
765	D₄×C₅₃	—	8	1	no	—
766	D₄×C₅₃	—	8	1	no	—
767	D₄×C₅₃	—	8	1	no	—
768	D₄×C₅₃	—	8	1	no	—
769	D₄×C₅₃	—	8	1	no	—
770	D₄×C₅₃	—	8	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	—	4	1	no	—
788	C₂×C₄×C₅₃	—	4	1	no	—
789	C₂×C₄×C₅₃	—	4	2	no	—
790	C₂×C₄×C₅₃	—	4	2	no	—
791	C₂×C₄×C₅₃	—	4	2	no	—
792	C₂×C₄×C₅₃	—	4	2	no	—
793	C₂×C₄×C₅₃	—	8	1	no	—
794	C₂×C₄×C₅₃	—	8	1	no	—
795	C₂×C₄×C₅₃	—	8	1	no	—
796	C₂×C₄×C₅₃	—	8	1	no	—
797	C₂×C₄×C₅₃	—	8	1	no	—
798	C₂×C₄×C₅₃	—	8	1	no	—
799	C₂×C₄×C₅₃	—	8	1	no	—
800	C₂×C₄×C₅₃	—	8	1	no	—
801	C₂×C₄×C₅₃	—	8	1	no	—
802	C₂×C₄×C₅₃	—	8	1	no	—
803	C₂×C₄×C₅₃	—	8	1	no	—
804	C₂×C₄×C₅₃	—	8	1	no	—
805	C₂×C₄×C₅₃	—	8	1	no	—
806	C₂×C₄×C₅₃	—	8	1	no	—
807	C₂×C₄×C₅₃	—	8	1	no	—
808	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
820	C₈×C₅₃	—	2	1	no	—
821	C₈×C₅₃	—	2	1	no	—
822	C₈×C₅₃	—	2	1	no	—
823	C₈×C₅₃	—	2	1	no	—
824	C₈×C₅₃	—	2	1	no	—
825	C₈×C₅₃	—	2	1	no	—
826	C₈×C₅₃	—	2	1	no	—
827	C₈×C₅₃	—	2	1	no	—
828	#62014	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
829	C₂²×C₅₃	—	2	1	no	—
830	C₂²×C₅₃	—	2	1	no	—
831	C₂²×C₅₃	—	2	1	no	—
832	C₂²×C₅₃	—	2	1	no	—
833	C₂²×C₅₃	—	2	1	no	—
834	C₂²×C₅₃	—	2	1	no	—
835	C₂²×C₅₃	—	2	1	no	—
836	C₂²×C₅₃	—	2	1	no	—
837	C₂²×C₅₃	—	2	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	—	16	2	no	—
857	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
858	C₄×C₅₃	—	2	1	no	—
859	C₄×C₅₃	—	2	1	no	—
860	C₄×C₅₃	—	2	1	no	—
861	C₄×C₅₃	—	2	1	no	—
862	C₄×C₅₃	—	2	1	no	—
863	C₄×C₅₃	—	2	1	no	—
864	C₄×C₅₃	—	2	1	no	—
865	C₄×C₅₃	—	2	1	no	—
866	C₄×C₅₃	—	2	1	no	—
867	C₄×C₅₃	—	2	1	no	—
868	C₄×C₅₃	—	2	1	no	—
869	C₄×C₅₃	—	2	2	no	—
870	C₄×C₅₃	—	4	1	no	—
871	C₄×C₅₃	—	4	1	no	—
872	C₄×C₅₃	—	4	1	no	—
873	C₄×C₅₃	—	4	1	no	—
874	C₄×C₅₃	—	4	1	no	—
875	C₄×C₅₃	—	4	1	no	—
876	C₄×C₅₃	—	4	1	no	—
877	C₄×C₅₃	—	4	1	no	—
878	C₄×C₅₃	—	4	1	no	—
879	C₄×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
880	C₄×C₅₃	#585	1	1	yes	characteristic
881	#3562	C₂×C₅₃	1	1	yes	characteristic, complemented
882	#3517	C₂×C₅₃	1	1	yes	characteristic, complemented
883	#3399	C₂×C₅₃	1	1	yes	characteristic, complemented
884	#3397	C₂×C₅₃	1	1	yes	characteristic, complemented
885	#3377	C₂×C₅₃	1	1	yes	characteristic, complemented
886	#3371	C₂×C₅₃	1	1	yes	characteristic, complemented
887	#3309	C₂×C₅₃	1	1	yes	characteristic, complemented
888	#3308	C₂×C₅₃	1	1	yes	characteristic, complemented
889	#3307	C₂×C₅₃	1	1	yes	characteristic, complemented
890	#3306	C₂×C₅₃	1	1	yes	characteristic, complemented
891	#3301	C₂×C₅₃	1	1	yes	characteristic, complemented
892	#3297	C₂×C₅₃	1	1	yes	characteristic, complemented
893	#3287	C₂×C₅₃	1	1	yes	characteristic, complemented
894	#3284	C₂×C₅₃	1	1	yes	characteristic, complemented
895	#3271	C₂×C₅₃	1	1	yes	characteristic, complemented
896	#3271	C₂×C₅₃	1	1	yes	characteristic, complemented
897	#3268	C₂×C₅₃	1	1	yes	characteristic, complemented
898	#3268	C₂×C₅₃	1	1	yes	characteristic, complemented
899	#3260	C₂×C₅₃	1	1	yes	characteristic, complemented
900	#3259	C₂×C₅₃	1	1	yes	characteristic, complemented
901	#3247	C₂×C₅₃	1	1	yes	characteristic, complemented
902	#3221	C₂×C₅₃	1	1	yes	characteristic, complemented
903	#3220	C₂×C₅₃	1	1	yes	characteristic, complemented
904	#3214	C₂×C₅₃	1	1	yes	characteristic, complemented
905	#3120	C₂×C₅₃	1	1	yes	characteristic, complemented
906	#3119	C₂×C₅₃	1	1	yes	characteristic, complemented
907	#3111	C₂×C₅₃	1	1	yes	characteristic, complemented
908	#3046	C₂×C₅₃	1	1	yes	characteristic, complemented
909	#3045	C₂×C₅₃	1	1	yes	characteristic, complemented
910	#3035	C₂×C₅₃	1	1	yes	characteristic, complemented
911	#2992	C₂×C₅₃	1	1	yes	characteristic, complemented
912	C₂×C₅₃	—	4	1	no	—
913	C₂×C₅₃	—	4	1	no	—
914	C₂×C₅₃	—	4	1	no	—
915	C₂×C₅₃	—	8	1	no	—
916	C₂×C₅₃	—	8	1	no	—
917	C₂×C₅₃	—	8	1	no	—
918	C₂×C₅₃	—	8	1	no	—
919	C₂×C₅₃	—	8	1	no	—
920	C₂×C₅₃	—	8	1	no	—
921	C₂×C₅₃	#3488	1	1	yes	characteristic
922	C₂×C₅₃	#3584	1	1	yes	characteristic
923	C₂×C₅₃	#3585	1	1	yes	characteristic
924	C₂×#137	C₂²×C₅₃	1	1	yes	characteristic, complemented
925	C₂×AGL(1,ℤ/8)	C₂²×C₅₃	1	1	yes	characteristic
926	C₂×#135	C₂²×C₅₃	1	1	yes	characteristic
927	C₂×#135	C₂²×C₅₃	1	1	yes	characteristic
928	C₂×#135	C₂²×C₅₃	1	1	yes	characteristic
929	C₂×#135	C₂²×C₅₃	1	1	yes	characteristic, complemented
930	#562	—	2	1	no	—
931	#560	—	2	1	no	—
932	#559	C₂²×C₅₃	1	1	yes	characteristic
933	#557	C₂²×C₅₃	1	1	yes	characteristic, complemented
934	#556	C₂²×C₅₃	1	1	yes	characteristic
935	#553	—	2	1	no	—
936	#553	—	2	1	no	—
937	#553	—	2	1	no	—
938	#553	C₂²×C₅₃	1	1	yes	characteristic
939	#553	C₂²×C₅₃	1	1	yes	characteristic, complemented
940	#551	—	2	1	no	—
941	#550	—	2	1	no	—
942	#550	C₂²×C₅₃	1	1	yes	characteristic
943	#550	C₂²×C₅₃	1	1	yes	characteristic
944	#550	C₂²×C₅₃	1	1	yes	characteristic
945	#550	C₂²×C₅₃	1	1	yes	characteristic, complemented
946	#550	C₂²×C₅₃	1	1	yes	characteristic, complemented
947	#548	C₂²×C₅₃	1	1	yes	characteristic
948	#548	C₂²×C₅₃	1	1	yes	characteristic
949	#547	—	2	1	no	—
950	#547	C₂²×C₅₃	1	1	yes	characteristic
951	#547	C₂²×C₅₃	1	1	yes	characteristic
952	#546	C₂²×C₅₃	1	1	yes	characteristic
953	#546	C₂²×C₅₃	1	1	yes	characteristic
954	#541	C₂²×C₅₃	1	1	yes	characteristic
955	#540	—	2	1	no	—
956	#540	—	2	1	no	—
957	#540	—	2	1	no	—
958	#540	C₂²×C₅₃	1	1	yes	characteristic
959	#540	C₂²×C₅₃	1	1	yes	characteristic
960	#540	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#539	—	2	1	no	—
962	#538	—	2	1	no	—
963	#538	—	2	1	no	—
964	#536	C₂²×C₅₃	1	1	yes	characteristic
965	#535	C₂²×C₅₃	1	1	yes	characteristic
966	#532	—	2	1	no	—
967	#532	C₂²×C₅₃	1	1	yes	characteristic
968	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
969	#529	—	2	1	no	—
970	#529	C₂²×C₅₃	1	1	yes	characteristic
971	#529	C₂²×C₅₃	1	1	yes	characteristic
972	#520	C₂²×C₅₃	1	1	yes	characteristic
973	#520	C₂²×C₅₃	1	1	yes	characteristic, complemented
974	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	#496	C₂²×C₅₃	1	1	yes	characteristic
976	#496	C₂²×C₅₃	1	1	yes	characteristic
977	#496	C₂²×C₅₃	1	1	yes	characteristic
978	#496	C₂²×C₅₃	1	1	yes	characteristic, complemented
979	#493	C₂²×C₅₃	1	1	yes	characteristic
980	#492	C₂²×C₅₃	1	1	yes	characteristic, complemented
981	#491	C₂²×C₅₃	1	1	yes	characteristic, complemented
982	#490	C₂²×C₅₃	1	1	yes	characteristic
983	#489	C₂²×C₅₃	1	1	yes	characteristic
984	#489	C₂²×C₅₃	1	1	yes	characteristic, complemented
985	#488	C₂²×C₅₃	1	1	yes	characteristic
986	#488	C₂²×C₅₃	1	1	yes	characteristic
987	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
988	#484	C₂²×C₅₃	1	1	yes	characteristic
989	#483	C₂²×C₅₃	1	1	yes	characteristic
990	#482	C₂²×C₅₃	1	1	yes	characteristic
991	#481	C₂²×C₅₃	1	1	yes	characteristic
992	#480	C₂²×C₅₃	1	1	yes	characteristic, complemented
993	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
994	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
995	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
996	#478	C₂²×C₅₃	1	1	yes	characteristic
997	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
998	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
999	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
1000	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
1001	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
1002	#476	C₂²×C₅₃	1	1	yes	characteristic
1003	#469	C₂²×C₅₃	1	1	yes	characteristic
1004	#469	C₂²×C₅₃	1	1	yes	characteristic, complemented
1005	#468	C₂²×C₅₃	1	1	yes	characteristic
1006	#468	C₂²×C₅₃	1	1	yes	characteristic
1007	#466	C₂²×C₅₃	1	1	yes	characteristic
1008	#466	C₂²×C₅₃	1	1	yes	characteristic
1009	#466	C₂²×C₅₃	1	1	yes	characteristic
1010	#466	C₂²×C₅₃	1	1	yes	characteristic, complemented
1011	#465	C₂²×C₅₃	1	1	yes	characteristic
1012	#465	C₂²×C₅₃	1	1	yes	characteristic
1013	#465	C₂²×C₅₃	1	1	yes	characteristic, complemented
1014	#465	C₂²×C₅₃	1	1	yes	characteristic, complemented
1015	#464	C₂²×C₅₃	1	1	yes	characteristic
1016	#464	C₂²×C₅₃	1	1	yes	characteristic
1017	#464	C₂²×C₅₃	1	1	yes	characteristic
1018	#464	C₂²×C₅₃	1	1	yes	characteristic
1019	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
1020	#463	C₂²×C₅₃	1	1	yes	characteristic
1021	#463	C₂²×C₅₃	1	1	yes	characteristic
1022	#463	C₂²×C₅₃	1	1	yes	characteristic
1023	#463	C₂²×C₅₃	1	1	yes	characteristic
1024	#463	C₂²×C₅₃	1	1	yes	characteristic
1025	#463	C₂²×C₅₃	1	1	yes	characteristic
1026	#463	C₂²×C₅₃	1	1	yes	characteristic, complemented
1027	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
1028	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
1029	#461	C₂²×C₅₃	1	1	yes	characteristic, complemented
1030	#461	C₂²×C₅₃	1	1	yes	characteristic, complemented
1031	#461	C₂²×C₅₃	1	1	yes	characteristic, complemented
1032	#461	C₂²×C₅₃	1	1	yes	characteristic, complemented
1033	#460	C₂²×C₅₃	1	1	yes	characteristic
1034	#460	C₂²×C₅₃	1	1	yes	characteristic
1035	#460	C₂²×C₅₃	1	1	yes	characteristic, complemented
1036	#460	C₂²×C₅₃	1	1	yes	characteristic, complemented
1037	#460	C₂²×C₅₃	1	1	yes	characteristic, complemented
1038	#459	C₂²×C₅₃	1	1	yes	characteristic
1039	#459	C₂²×C₅₃	1	1	yes	characteristic
1040	#459	C₂²×C₅₃	1	1	yes	characteristic
1041	#459	C₂²×C₅₃	1	1	yes	characteristic
1042	#459	C₂²×C₅₃	1	1	yes	characteristic
1043	#459	C₂²×C₅₃	1	1	yes	characteristic
1044	#459	C₂²×C₅₃	1	1	yes	characteristic, complemented
1045	#452	C₂²×C₅₃	1	1	yes	characteristic
1046	#452	C₂²×C₅₃	1	1	yes	characteristic
1047	#452	C₂²×C₅₃	1	1	yes	characteristic, complemented
1048	#449	C₂²×C₅₃	1	1	yes	characteristic
1049	#449	C₂²×C₅₃	1	1	yes	characteristic
1050	#449	C₂²×C₅₃	1	1	yes	characteristic
1051	#449	C₂²×C₅₃	1	1	yes	characteristic
1052	#449	C₂²×C₅₃	1	1	yes	characteristic
1053	#449	C₂²×C₅₃	1	1	yes	characteristic
1054	#449	C₂²×C₅₃	1	1	yes	characteristic
1055	#449	C₂²×C₅₃	1	1	yes	characteristic
1056	#449	C₂²×C₅₃	1	1	yes	characteristic, complemented
1057	#449	C₂²×C₅₃	1	1	yes	characteristic, complemented
1058	#449	C₂²×C₅₃	1	1	yes	characteristic, complemented
1059	#448	C₂²×C₅₃	1	1	yes	characteristic, complemented
1060	#448	C₂²×C₅₃	1	1	yes	characteristic, complemented
1061	#447	C₂²×C₅₃	1	1	yes	characteristic
1062	#447	C₂²×C₅₃	1	1	yes	characteristic
1063	#446	C₂²×C₅₃	1	1	yes	characteristic, complemented
1064	#446	C₂²×C₅₃	1	1	yes	characteristic, complemented
1065	#442	C₂²×C₅₃	1	1	yes	characteristic
1066	#442	C₂²×C₅₃	1	1	yes	characteristic, complemented
1067	#441	C₂²×C₅₃	1	1	yes	characteristic, complemented
1068	#441	C₂²×C₅₃	1	1	yes	characteristic, complemented
1069	#440	C₂²×C₅₃	1	1	yes	characteristic
1070	#440	C₂²×C₅₃	1	1	yes	characteristic
1071	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
1072	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
1073	C₄×Q₁₆	C₂²×C₅₃	1	1	yes	characteristic, complemented
1074	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic, complemented
1075	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic, complemented
1076	C₄×D₈	C₂²×C₅₃	1	1	yes	characteristic
1077	#435	C₂²×C₅₃	1	1	yes	characteristic
1078	#435	C₂²×C₅₃	1	1	yes	characteristic
1079	#435	C₂²×C₅₃	1	1	yes	characteristic
1080	#435	C₂²×C₅₃	1	1	yes	characteristic, complemented
1081	C₈×D₄	C₂²×C₅₃	1	1	yes	characteristic
1082	C₈×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1083	#433	C₂²×C₅₃	1	1	yes	characteristic
1084	#433	C₂²×C₅₃	1	1	yes	characteristic, complemented
1085	#432	C₂²×C₅₃	1	1	yes	characteristic, complemented
1086	#424	C₂²×C₅₃	1	1	yes	characteristic
1087	#424	C₂²×C₅₃	1	1	yes	characteristic, complemented
1088	C₂×C₄⋊C₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
1089	#417	C₂²×C₅₃	1	1	yes	characteristic
1090	#417	C₂²×C₅₃	1	1	yes	characteristic
1091	#416	C₂²×C₅₃	1	1	yes	characteristic
1092	#416	C₂²×C₅₃	1	1	yes	characteristic, complemented
1093	C₂×#103	C₂²×C₅₃	1	1	yes	characteristic, complemented
1094	C₂×#102	C₂²×C₅₃	1	1	yes	characteristic
1095	C₅₃	#62014	1	1	yes	characteristic, direct product factor, Sylow
1096	C₂×#41	—	2	1	no	—
1097	C₂×#41	—	2	1	no	—
1098	C₂×#41	—	2	1	no	—
1099	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1100	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1101	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1102	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1103	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1104	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1106	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1107	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1108	#137	—	4	2	no	—
1109	AGL(1,ℤ/8)	—	4	2	no	—
1110	#135	—	4	2	no	—
1111	#135	—	4	2	no	—
1112	#135	—	4	2	no	—
1113	#135	—	4	2	no	—
1114	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1115	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1116	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1117	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1118	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1119	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1120	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1123	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1127	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1128	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1129	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1130	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1131	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1132	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1133	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1134	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1135	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1136	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1137	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1138	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1139	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1140	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1141	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1142	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1143	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1144	C₄⋊Q₈	—	2	1	no	—
1145	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1146	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1147	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1148	#127	—	2	1	no	—
1149	#127	—	2	1	no	—
1150	#127	—	2	1	no	—
1151	#127	—	2	1	no	—
1152	#127	C₂³×C₅₃	1	1	yes	characteristic
1153	#127	C₂³×C₅₃	1	1	yes	characteristic
1154	#127	C₂³×C₅₃	1	1	yes	characteristic
1155	#127	C₂³×C₅₃	1	1	yes	characteristic
1156	#127	C₂³×C₅₃	1	1	yes	characteristic
1157	#126	—	2	1	no	—
1158	#126	—	2	1	no	—
1159	#126	—	2	1	no	—
1160	#126	—	2	1	no	—
1161	#126	—	2	1	no	—
1162	#126	—	2	1	no	—
1163	#126	—	2	1	no	—
1164	#126	D₄×C₅₃	1	1	yes	characteristic
1165	#126	D₄×C₅₃	1	1	yes	characteristic
1166	#125	—	2	1	no	—
1167	#125	—	2	1	no	—
1168	#125	—	2	1	no	—
1169	#125	—	2	1	no	—
1170	#125	D₄×C₅₃	1	1	yes	characteristic
1171	#125	C₂³×C₅₃	1	1	yes	characteristic
1172	#125	C₂³×C₅₃	1	1	yes	characteristic
1173	#125	C₂³×C₅₃	1	1	yes	characteristic
1174	#124	—	2	1	no	—
1175	#124	—	2	1	no	—
1176	#124	—	2	1	no	—
1177	#124	—	2	1	no	—
1178	#124	D₄×C₅₃	1	1	yes	characteristic
1179	#124	C₂³×C₅₃	1	1	yes	characteristic
1180	#124	C₂³×C₅₃	1	1	yes	characteristic
1181	#124	C₂³×C₅₃	1	1	yes	characteristic
1182	#124	C₂³×C₅₃	1	1	yes	characteristic
1183	#124	C₂³×C₅₃	1	1	yes	characteristic
1184	#123	—	2	1	no	—
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	2	1	no	—
1198	#123	—	2	1	no	—
1199	#123	—	2	1	no	—
1200	#123	—	2	1	no	—
1201	#123	—	2	1	no	—
1202	#123	—	2	1	no	—
1203	#123	D₄×C₅₃	1	1	yes	characteristic
1204	#123	D₄×C₅₃	1	1	yes	characteristic
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	2	1	no	—
1207	C₂²⋊Q₈	—	2	1	no	—
1208	C₂²⋊Q₈	—	2	1	no	—
1209	C₂²⋊Q₈	—	2	1	no	—
1210	C₂²⋊Q₈	—	2	1	no	—
1211	C₂²⋊Q₈	D₄×C₅₃	1	1	yes	characteristic
1212	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1213	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1214	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	—	2	1	no	—
1218	#121	—	2	1	no	—
1219	#121	—	2	1	no	—
1220	#121	—	2	1	no	—
1221	#121	—	2	1	no	—
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	2	1	no	—
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	D₄×C₅₃	1	1	yes	characteristic
1245	#121	C₂³×C₅₃	1	1	yes	characteristic
1246	#121	C₂³×C₅₃	1	1	yes	characteristic
1247	#121	C₂³×C₅₃	1	1	yes	characteristic
1248	#121	C₂³×C₅₃	1	1	yes	characteristic
1249	#121	C₂³×C₅₃	1	1	yes	characteristic
1250	#121	C₂³×C₅₃	1	1	yes	characteristic
1251	#121	C₂³×C₅₃	1	1	yes	characteristic
1252	#121	C₂³×C₅₃	1	1	yes	characteristic
1253	#121	C₂³×C₅₃	1	1	yes	characteristic
1254	#120	—	2	1	no	—
1255	#120	—	2	1	no	—
1256	#120	—	2	1	no	—
1257	#120	—	2	1	no	—
1258	C₄×Q₈	—	2	1	no	—
1259	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1260	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1261	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1262	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1263	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1264	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1265	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1266	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1267	C₄×D₄	—	2	1	no	—
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	2	1	no	—
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	—	2	1	no	—
1282	C₄×D₄	—	2	1	no	—
1283	C₄×D₄	—	2	1	no	—
1284	C₄×D₄	—	2	1	no	—
1285	C₄×D₄	—	2	1	no	—
1286	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1287	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1288	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1289	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1290	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1291	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1292	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1293	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1294	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1295	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1296	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1297	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1298	#117	—	2	1	no	—
1299	#117	—	2	1	no	—
1300	#117	—	2	1	no	—
1301	#117	—	2	1	no	—
1302	#117	—	2	1	no	—
1303	#117	C₂³×C₅₃	1	1	yes	characteristic
1304	#117	C₂³×C₅₃	1	1	yes	characteristic
1305	#117	C₂³×C₅₃	1	1	yes	characteristic
1306	C₂×C₄⋊C₄	—	2	1	no	—
1307	C₂×C₄⋊C₄	—	2	1	no	—
1308	C₂×C₄⋊C₄	—	2	1	no	—
1309	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1310	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1311	C₂×C₂²⋊C₄	—	2	1	no	—
1312	C₂×C₂²⋊C₄	—	2	1	no	—
1313	C₂×C₄²	—	2	1	no	—
1314	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1315	#107	C₂³×C₅₃	1	1	yes	characteristic
1316	#107	C₂³×C₅₃	1	1	yes	characteristic
1317	#107	C₂³×C₅₃	1	1	yes	characteristic
1318	#107	C₂³×C₅₃	1	1	yes	characteristic
1319	#106	C₂³×C₅₃	1	1	yes	characteristic
1320	#106	C₂³×C₅₃	1	1	yes	characteristic
1321	#106	C₂³×C₅₃	1	1	yes	characteristic
1322	#106	C₂³×C₅₃	1	1	yes	characteristic
1323	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1324	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1325	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1326	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1327	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1328	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1329	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1330	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1331	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1332	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1333	#103	C₂³×C₅₃	1	1	yes	characteristic
1334	#103	C₂³×C₅₃	1	1	yes	characteristic
1335	#103	C₂³×C₅₃	1	1	yes	characteristic
1336	#103	C₂³×C₅₃	1	1	yes	characteristic
1337	#103	C₂³×C₅₃	1	1	yes	characteristic
1338	#103	C₂³×C₅₃	1	1	yes	characteristic
1339	#103	C₂³×C₅₃	1	1	yes	characteristic
1340	#103	C₂³×C₅₃	1	1	yes	characteristic
1341	#103	C₂³×C₅₃	1	1	yes	characteristic
1342	#103	C₂³×C₅₃	1	1	yes	characteristic
1343	#103	C₂³×C₅₃	1	1	yes	characteristic
1344	#103	C₂³×C₅₃	1	1	yes	characteristic
1345	#103	C₂³×C₅₃	1	1	yes	characteristic
1346	#103	C₂³×C₅₃	1	1	yes	characteristic
1347	#102	C₂³×C₅₃	1	1	yes	characteristic
1348	#102	C₂³×C₅₃	1	1	yes	characteristic
1349	#102	C₂³×C₅₃	1	1	yes	characteristic
1350	#102	C₂³×C₅₃	1	1	yes	characteristic
1351	#102	C₂³×C₅₃	1	1	yes	characteristic
1352	#102	C₂³×C₅₃	1	1	yes	characteristic
1353	#102	C₂³×C₅₃	1	1	yes	characteristic
1354	#102	C₂³×C₅₃	1	1	yes	characteristic
1355	#102	C₂³×C₅₃	1	1	yes	characteristic
1356	#102	C₂³×C₅₃	1	1	yes	characteristic
1357	#102	C₂³×C₅₃	1	1	yes	characteristic
1358	#102	C₂³×C₅₃	1	1	yes	characteristic
1359	#102	C₂³×C₅₃	1	1	yes	characteristic
1360	#102	C₂³×C₅₃	1	1	yes	characteristic
1361	#102	C₂³×C₅₃	1	1	yes	characteristic
1362	#102	C₂³×C₅₃	1	1	yes	characteristic
1363	#102	C₂³×C₅₃	1	1	yes	characteristic
1364	#102	C₂³×C₅₃	1	1	yes	characteristic
1365	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1366	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1367	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1368	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1369	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1370	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1371	#97	C₂³×C₅₃	1	1	yes	characteristic
1372	#97	C₂³×C₅₃	1	1	yes	characteristic
1373	#97	C₂³×C₅₃	1	1	yes	characteristic
1374	#97	C₂³×C₅₃	1	1	yes	characteristic
1375	C₄×C₈	C₂³×C₅₃	1	1	yes	characteristic
1376	C₄×C₈	C₂³×C₅₃	1	1	yes	characteristic
1377	C₂⁴	—	2	1	no	—
1378	#41	—	2	2	no	—
1379	#41	—	2	2	no	—
1380	#41	—	2	2	no	—
1381	#41	—	4	1	no	—
1382	#41	—	4	1	no	—
1383	#41	—	4	1	no	—
1384	#41	—	4	1	no	—
1385	#41	—	4	1	no	—
1386	#41	—	4	1	no	—
1387	#41	—	4	1	no	—
1388	#41	—	4	1	no	—
1389	#41	—	4	1	no	—
1390	#41	—	4	1	no	—
1391	#41	—	4	1	no	—
1392	#41	—	8	2	no	—
1393	#41	—	8	2	no	—
1394	#41	—	8	2	no	—
1395	C₂×Q₈	—	2	1	no	—
1396	C₂×Q₈	—	2	1	no	—
1397	C₂×Q₈	—	4	1	no	—
1398	C₂×Q₈	—	4	1	no	—
1399	C₂×Q₈	C₂×D₄×C₅₃	1	1	yes	characteristic
1400	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1401	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1402	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1403	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	4	1	no	—
1432	C₂×D₄	—	4	1	no	—
1433	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1434	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1435	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1436	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1437	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1438	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1439	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1440	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1441	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	2	1	no	—
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	2	1	no	—
1457	C₂²×C₄	—	2	1	no	—
1458	C₂²×C₄	—	2	1	no	—
1459	C₂²×C₄	—	2	1	no	—
1460	C₂²×C₄	—	2	1	no	—
1461	C₂²×C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1462	C₂²×C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1463	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1464	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1465	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1466	Q₁₆	—	2	2	no	—
1467	Q₁₆	—	2	2	no	—
1468	Q₁₆	—	2	2	no	—
1469	SD₁₆	—	2	2	no	—
1470	SD₁₆	—	2	2	no	—
1471	SD₁₆	—	2	2	no	—
1472	SD₁₆	—	4	1	no	—
1473	SD₁₆	—	4	1	no	—
1474	SD₁₆	—	4	1	no	—
1475	SD₁₆	—	4	1	no	—
1476	SD₁₆	—	4	1	no	—
1477	SD₁₆	—	4	1	no	—
1478	SD₁₆	—	4	1	no	—
1479	SD₁₆	—	4	1	no	—
1480	SD₁₆	—	4	1	no	—
1481	D₈	—	4	1	no	—
1482	D₈	—	4	1	no	—
1483	D₈	—	4	1	no	—
1484	D₈	—	4	1	no	—
1485	D₈	—	4	1	no	—
1486	D₈	—	4	1	no	—
1487	D₈	—	4	1	no	—
1488	D₈	—	4	1	no	—
1489	D₈	—	4	1	no	—
1490	M₁₆	—	4	1	no	—
1491	M₁₆	—	4	1	no	—
1492	C₂×C₈	—	4	1	no	—
1493	C₂×C₈	—	4	1	no	—
1494	C₂×C₈	—	4	1	no	—
1495	C₂×C₈	—	4	1	no	—
1496	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1497	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1498	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1499	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1500	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1501	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1502	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1503	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1528	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1529	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1530	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1531	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1532	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1533	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1534	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1535	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1536	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1537	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1538	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1539	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1540	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1541	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1542	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1576	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1579	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1583	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1584	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1585	C₄²	—	2	1	no	—
1586	C₄²	—	2	1	no	—
1587	C₄²	—	2	1	no	—
1588	C₄²	—	2	1	no	—
1589	C₄²	—	2	1	no	—
1590	C₄²	—	2	1	no	—
1591	C₄²	—	2	1	no	—
1592	C₄²	—	2	1	no	—
1593	C₄²	C₂×D₄×C₅₃	1	1	yes	characteristic
1594	C₄²	C₂×D₄×C₅₃	1	1	yes	characteristic
1595	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1596	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1597	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1598	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1599	C₂³	—	2	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	8	1	no	—
1606	C₂³	—	8	1	no	—
1607	C₂³	—	8	1	no	—
1608	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1609	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1610	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1611	Q₈	—	2	1	no	—
1612	Q₈	—	2	1	no	—
1613	Q₈	—	2	1	no	—
1614	Q₈	—	2	1	no	—
1615	Q₈	—	2	1	no	—
1616	Q₈	—	2	1	no	—
1617	Q₈	—	2	1	no	—
1618	Q₈	—	4	1	no	—
1619	Q₈	—	4	2	no	—
1620	Q₈	—	8	1	no	—
1621	Q₈	H(5,𝔽₂)×C₅₃	1	2	yes	—
1622	D₄	—	2	1	no	—
1623	D₄	—	2	1	no	—
1624	D₄	—	2	1	no	—
1625	D₄	—	2	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	4	1	no	—
1635	D₄	—	4	1	no	—
1636	D₄	—	4	1	no	—
1637	D₄	—	4	2	no	—
1638	D₄	—	4	2	no	—
1639	D₄	—	4	2	no	—
1640	D₄	—	4	2	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	1	no	—
1655	D₄	—	8	1	no	—
1656	D₄	—	8	1	no	—
1657	D₄	—	8	1	no	—
1658	D₄	—	8	1	no	—
1659	D₄	—	8	1	no	—
1660	D₄	—	8	1	no	—
1661	D₄	—	8	1	no	—
1662	D₄	—	8	1	no	—
1663	D₄	—	8	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	—	4	1	no	—
1681	C₂×C₄	—	4	1	no	—
1682	C₂×C₄	—	4	2	no	—
1683	C₂×C₄	—	4	2	no	—
1684	C₂×C₄	—	4	2	no	—
1685	C₂×C₄	—	4	2	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	8	1	no	—
1690	C₂×C₄	—	8	1	no	—
1691	C₂×C₄	—	8	1	no	—
1692	C₂×C₄	—	8	1	no	—
1693	C₂×C₄	—	8	1	no	—
1694	C₂×C₄	—	8	1	no	—
1695	C₂×C₄	—	8	1	no	—
1696	C₂×C₄	—	8	1	no	—
1697	C₂×C₄	—	8	1	no	—
1698	C₂×C₄	—	8	1	no	—
1699	C₂×C₄	—	8	1	no	—
1700	C₂×C₄	—	8	1	no	—
1701	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1702	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1703	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1704	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1705	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1706	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1707	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1708	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1709	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1710	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1711	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1712	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
1713	C₈	—	2	1	no	—
1714	C₈	—	2	1	no	—
1715	C₈	—	2	1	no	—
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	2	1	no	—
1719	C₈	—	2	1	no	—
1720	C₈	—	2	1	no	—
1721	C₂²	—	2	1	no	—
1722	C₂²	—	2	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	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	—	16	2	no	—
1749	C₂²	C₂³×D₄×C₅₃	1	1	yes	characteristic
1750	C₄	—	2	1	no	—
1751	C₄	—	2	1	no	—
1752	C₄	—	2	1	no	—
1753	C₄	—	2	2	no	—
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	1	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	4	1	no	—
1771	C₄	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1772	C₄	C₅₃×#585	1	1	yes	characteristic
1773	C₂	—	4	1	no	—
1774	C₂	—	4	1	no	—
1775	C₂	—	4	1	no	—
1776	C₂	—	8	1	no	—
1777	C₂	—	8	1	no	—
1778	C₂	—	8	1	no	—
1779	C₂	—	8	1	no	—
1780	C₂	—	8	1	no	—
1781	C₂	—	8	1	no	—
1782	C₂	C₅₃×#3488	1	1	yes	characteristic
1783	C₂	C₅₃×#3584	1	1	yes	characteristic
1784	C₂	C₅₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅₃ ◁ C₅₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₃×#3562	C₂	semidirect
2. C₅₃×#3517	C₂	semidirect
3. C₅₃×#3399	C₂	semidirect
4. C₅₃×#3397	C₂	semidirect
5. C₅₃×#3377	C₂	semidirect
6. C₅₃×#3371	C₂	semidirect
7. C₅₃×#3309	C₂	semidirect
8. C₅₃×#3308	C₂	semidirect
9. C₅₃×#3307	C₂	semidirect
10. C₅₃×#3306	C₂	semidirect
11. C₅₃×#3301	C₂	semidirect
12. C₅₃×#3297	C₂	semidirect
13. C₅₃×#3287	C₂	semidirect
14. C₅₃×#3284	C₂	semidirect
15. C₅₃×#3271	C₂	semidirect
16. C₅₃×#3271	C₂	semidirect
17. C₅₃×#3268	C₂	semidirect
18. C₅₃×#3268	C₂	semidirect
19. C₅₃×#3260	C₂	semidirect
20. C₅₃×#3259	C₂	semidirect
21. C₅₃×#3247	C₂	semidirect
22. C₅₃×#3221	C₂	semidirect
23. C₅₃×#3220	C₂	semidirect
24. C₅₃×#3214	C₂	semidirect
25. C₅₃×#3120	C₂	semidirect
26. C₅₃×#3119	C₂	semidirect
27. C₅₃×#3111	C₂	semidirect
28. C₅₃×#3046	C₂	semidirect
29. C₅₃×#3045	C₂	semidirect
30. C₅₃×#3035	C₂	semidirect
31. C₅₃×#2992	C₂	semidirect
32. C₂×#137×C₅₃	C₂²	semidirect
37. C₂×#135×C₅₃	C₂²	semidirect
41. C₅₃×#557	C₂²	semidirect
47. C₅₃×#553	C₂²	semidirect
53. C₅₃×#550	C₂²	semidirect
54. C₅₃×#550	C₂²	semidirect
68. C₅₃×#540	C₂²	semidirect
76. C₅₃×#532	C₂²	semidirect
81. C₅₃×#520	C₂²	semidirect
82. C₄×#41×C₅₃	C₂²	semidirect
86. C₅₃×#496	C₂²	semidirect
88. C₅₃×#492	C₂²	semidirect
89. C₅₃×#491	C₂²	semidirect
92. C₅₃×#489	C₂²	semidirect
95. C₅₃×#485	C₂²	semidirect
100. C₅₃×#480	C₂²	semidirect
101. C₅₃×#479	C₂²	semidirect
102. C₅₃×#479	C₂²	semidirect
103. C₅₃×#479	C₂²	semidirect
105. C₅₃×#478	C₂²	semidirect
106. C₅₃×#478	C₂²	semidirect
107. C₅₃×#478	C₂²	semidirect
108. C₅₃×#478	C₂²	semidirect
109. C₅₃×#477	C₂²	semidirect
112. C₅₃×#469	C₂²	semidirect
118. C₅₃×#466	C₂²	semidirect
121. C₅₃×#465	C₂²	semidirect
122. C₅₃×#465	C₂²	semidirect
127. C₅₃×#464	C₂²	semidirect
134. C₅₃×#463	C₂²	semidirect
135. C₅₃×#462	C₂²	semidirect
136. C₅₃×#462	C₂²	semidirect
137. C₅₃×#461	C₂²	semidirect
138. C₅₃×#461	C₂²	semidirect
139. C₅₃×#461	C₂²	semidirect
140. C₅₃×#461	C₂²	semidirect
143. C₅₃×#460	C₂²	semidirect
144. C₅₃×#460	C₂²	semidirect
145. C₅₃×#460	C₂²	semidirect
152. C₅₃×#459	C₂²	semidirect
155. C₅₃×#452	C₂²	semidirect
164. C₅₃×#449	C₂²	semidirect
165. C₅₃×#449	C₂²	semidirect
166. C₅₃×#449	C₂²	semidirect
167. C₅₃×#448	C₂²	semidirect
168. C₅₃×#448	C₂²	semidirect
171. C₅₃×#446	C₂²	semidirect
172. C₅₃×#446	C₂²	semidirect
174. C₅₃×#442	C₂²	semidirect
175. C₅₃×#441	C₂²	semidirect
176. C₅₃×#441	C₂²	semidirect
179. C₅₃×#440	C₂²	semidirect
180. C₅₃×#440	C₂²	semidirect
181. C₄×Q₁₆×C₅₃	C₂²	semidirect
182. C₄×SD₁₆×C₅₃	C₂²	semidirect
183. C₄×SD₁₆×C₅₃	C₂²	semidirect
188. C₅₃×#435	C₂²	semidirect
190. C₈×D₄×C₅₃	C₂²	semidirect
192. C₅₃×#433	C₂²	semidirect
193. C₅₃×#432	C₂²	semidirect
195. C₅₃×#424	C₂²	semidirect
196. C₂×C₄⋊C₈×C₅₃	C₂²	semidirect
200. C₅₃×#416	C₂²	semidirect
201. C₂×#103×C₅₃	C₂²	semidirect
828. #62014	C₅₃	direct (N × H)
881. #3562	C₂×C₅₃	semidirect
882. #3517	C₂×C₅₃	semidirect
883. #3399	C₂×C₅₃	semidirect
884. #3397	C₂×C₅₃	semidirect
885. #3377	C₂×C₅₃	semidirect
886. #3371	C₂×C₅₃	semidirect
887. #3309	C₂×C₅₃	semidirect
888. #3308	C₂×C₅₃	semidirect
889. #3307	C₂×C₅₃	semidirect
890. #3306	C₂×C₅₃	semidirect
891. #3301	C₂×C₅₃	semidirect
892. #3297	C₂×C₅₃	semidirect
893. #3287	C₂×C₅₃	semidirect
894. #3284	C₂×C₅₃	semidirect
895. #3271	C₂×C₅₃	semidirect
896. #3271	C₂×C₅₃	semidirect
897. #3268	C₂×C₅₃	semidirect
898. #3268	C₂×C₅₃	semidirect
899. #3260	C₂×C₅₃	semidirect
900. #3259	C₂×C₅₃	semidirect
901. #3247	C₂×C₅₃	semidirect
902. #3221	C₂×C₅₃	semidirect
903. #3220	C₂×C₅₃	semidirect
904. #3214	C₂×C₅₃	semidirect
905. #3120	C₂×C₅₃	semidirect
906. #3119	C₂×C₅₃	semidirect
907. #3111	C₂×C₅₃	semidirect
908. #3046	C₂×C₅₃	semidirect
909. #3045	C₂×C₅₃	semidirect
910. #3035	C₂×C₅₃	semidirect
911. #2992	C₂×C₅₃	semidirect
924. C₂×#137	C₂²×C₅₃	semidirect
929. C₂×#135	C₂²×C₅₃	semidirect
933. #557	C₂²×C₅₃	semidirect
939. #553	C₂²×C₅₃	semidirect
945. #550	C₂²×C₅₃	semidirect
946. #550	C₂²×C₅₃	semidirect
960. #540	C₂²×C₅₃	semidirect
968. #532	C₂²×C₅₃	semidirect
973. #520	C₂²×C₅₃	semidirect
974. C₄×#41	C₂²×C₅₃	semidirect
978. #496	C₂²×C₅₃	semidirect
980. #492	C₂²×C₅₃	semidirect
981. #491	C₂²×C₅₃	semidirect
984. #489	C₂²×C₅₃	semidirect
987. #485	C₂²×C₅₃	semidirect
992. #480	C₂²×C₅₃	semidirect
993. #479	C₂²×C₅₃	semidirect
994. #479	C₂²×C₅₃	semidirect
995. #479	C₂²×C₅₃	semidirect
997. #478	C₂²×C₅₃	semidirect
998. #478	C₂²×C₅₃	semidirect
999. #478	C₂²×C₅₃	semidirect
1000. #478	C₂²×C₅₃	semidirect
1001. #477	C₂²×C₅₃	semidirect
1004. #469	C₂²×C₅₃	semidirect
1010. #466	C₂²×C₅₃	semidirect
1013. #465	C₂²×C₅₃	semidirect
1014. #465	C₂²×C₅₃	semidirect
1019. #464	C₂²×C₅₃	semidirect
1026. #463	C₂²×C₅₃	semidirect
1027. #462	C₂²×C₅₃	semidirect
1028. #462	C₂²×C₅₃	semidirect
1029. #461	C₂²×C₅₃	semidirect
1030. #461	C₂²×C₅₃	semidirect
1031. #461	C₂²×C₅₃	semidirect
1032. #461	C₂²×C₅₃	semidirect
1035. #460	C₂²×C₅₃	semidirect
1036. #460	C₂²×C₅₃	semidirect
1037. #460	C₂²×C₅₃	semidirect
1044. #459	C₂²×C₅₃	semidirect
1047. #452	C₂²×C₅₃	semidirect
1056. #449	C₂²×C₅₃	semidirect
1057. #449	C₂²×C₅₃	semidirect
1058. #449	C₂²×C₅₃	semidirect
1059. #448	C₂²×C₅₃	semidirect
1060. #448	C₂²×C₅₃	semidirect
1063. #446	C₂²×C₅₃	semidirect
1064. #446	C₂²×C₅₃	semidirect
1066. #442	C₂²×C₅₃	semidirect
1067. #441	C₂²×C₅₃	semidirect
1068. #441	C₂²×C₅₃	semidirect
1071. #440	C₂²×C₅₃	semidirect
1072. #440	C₂²×C₅₃	semidirect
1073. C₄×Q₁₆	C₂²×C₅₃	semidirect
1074. C₄×SD₁₆	C₂²×C₅₃	semidirect
1075. C₄×SD₁₆	C₂²×C₅₃	semidirect
1080. #435	C₂²×C₅₃	semidirect
1082. C₈×D₄	C₂²×C₅₃	semidirect
1084. #433	C₂²×C₅₃	semidirect
1085. #432	C₂²×C₅₃	semidirect
1087. #424	C₂²×C₅₃	semidirect
1088. C₂×C₄⋊C₈	C₂²×C₅₃	semidirect
1092. #416	C₂²×C₅₃	semidirect
1093. C₂×#103	C₂²×C₅₃	semidirect
1095. C₅₃	#62014	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅₃×#3562	2
C₅₃×#3517	2
C₅₃×#3399	2
C₅₃×#3397	2
C₅₃×#3377	2
C₅₃×#3371	2
C₅₃×#3309	2
C₅₃×#3308	2
C₅₃×#3307	2
C₅₃×#3306	2
C₅₃×#3301	2
C₅₃×#3297	2
C₅₃×#3287	2
C₅₃×#3284	2
C₅₃×#3271	2
C₅₃×#3268	2
C₅₃×#3260	2
C₅₃×#3259	2
C₅₃×#3247	2
C₅₃×#3221	2
C₅₃×#3220	2
C₅₃×#3214	2
C₅₃×#3120	2
C₅₃×#3119	2
C₅₃×#3111	2
C₅₃×#3046	2
C₅₃×#3045	2
C₅₃×#3035	2
C₅₃×#2992	2
#62014	53

Subgroups — C53×#62014 #27269526

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#62014 #27269526