Subgroups — C₅₃×#62232 #27269744

Order 13568.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#3513	C₂	1	1	yes	maximal, characteristic
3	C₅₃×#3388	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#3353	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#3352	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#3350	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#3349	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#3346	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#3324	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#3323	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#3260	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#3243	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3241	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3110	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2995	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅₃×#563	—	2	1	no	—
33	C₅₃×#563	—	2	1	no	—
34	C₅₃×#559	C₂²	1	1	yes	characteristic
35	Q₈²×C₅₃	C₂²	1	1	yes	characteristic, complemented
36	C₅₃×#557	—	2	1	no	—
37	C₅₃×#557	C₂²	1	1	yes	characteristic, complemented
38	C₅₃×#556	—	2	1	no	—
39	C₅₃×#556	C₂²	1	1	yes	characteristic
40	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
41	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
42	C₅₃×#554	C₂²	1	1	yes	characteristic
43	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
44	C₅₃×#553	—	2	1	no	—
45	C₅₃×#553	C₂²	1	1	yes	characteristic
46	C₅₃×#552	C₂²	1	1	yes	characteristic
47	C₅₃×#552	C₂²	1	1	yes	characteristic
48	C₅₃×#552	C₂²	1	1	yes	characteristic, complemented
49	C₅₃×#551	—	2	1	no	—
50	C₅₃×#551	—	2	1	no	—
51	C₅₃×#547	C₂²	1	1	yes	characteristic
52	C₅₃×#546	—	2	1	no	—
53	C₅₃×#546	C₂²	1	1	yes	characteristic
54	C₅₃×#546	C₂²	1	1	yes	characteristic
55	D₄²×C₅₃	C₂²	1	1	yes	characteristic
56	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
57	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
58	C₅₃×#542	—	2	1	no	—
59	C₅₃×#542	C₂²	1	1	yes	characteristic
60	C₅₃×#541	—	2	1	no	—
61	C₅₃×#541	—	2	1	no	—
62	C₅₃×#541	—	2	1	no	—
63	C₅₃×#541	C₂²	1	1	yes	characteristic, complemented
64	C₅₃×#541	C₂²	1	1	yes	characteristic, complemented
65	C₅₃×#540	C₂²	1	1	yes	characteristic
66	C₅₃×#539	—	2	1	no	—
67	C₅₃×#538	—	2	1	no	—
68	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
69	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
70	C₅₃×#529	C₂²	1	1	yes	characteristic
71	C₅₃×#529	C₂²	1	1	yes	characteristic
72	C₅₃×#525	—	2	1	no	—
73	C₂×#123×C₅₃	—	2	1	no	—
74	C₅₃×#520	C₂²	1	1	yes	characteristic
75	C₅₃×#518	C₂²	1	1	yes	characteristic
76	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
77	C₅₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₅₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₅₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₅₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₅₃×#500	C₂²	1	1	yes	characteristic, complemented
82	C₅₃×#499	C₂²	1	1	yes	characteristic, complemented
83	C₅₃×#490	C₂²	1	1	yes	characteristic
84	C₅₃×#489	C₂²	1	1	yes	characteristic, complemented
85	C₅₃×#489	C₂²	1	1	yes	characteristic, complemented
86	C₅₃×#489	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#488	C₂²	1	1	yes	characteristic, complemented
88	C₅₃×#486	C₂²	1	1	yes	characteristic
89	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
90	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
91	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
92	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
93	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₅₃×#484	C₂²	1	1	yes	characteristic, complemented
95	C₅₃×#484	C₂²	1	1	yes	characteristic, complemented
96	C₅₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₅₃×#484	C₂²	1	1	yes	characteristic, complemented
98	C₅₃×#483	C₂²	1	1	yes	characteristic, complemented
99	C₅₃×#482	C₂²	1	1	yes	characteristic
100	C₅₃×#482	C₂²	1	1	yes	characteristic
101	C₅₃×#482	C₂²	1	1	yes	characteristic
102	C₅₃×#482	C₂²	1	1	yes	characteristic, complemented
103	C₅₃×#482	C₂²	1	1	yes	characteristic, complemented
104	C₅₃×#481	C₂²	1	1	yes	characteristic, complemented
105	C₅₃×#480	C₂²	1	1	yes	characteristic
106	C₅₃×#480	C₂²	1	1	yes	characteristic, complemented
107	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
111	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
112	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
113	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
114	C₅₃×#478	C₂²	1	1	yes	characteristic
115	C₅₃×#478	C₂²	1	1	yes	characteristic
116	C₅₃×#478	C₂²	1	1	yes	characteristic
117	C₅₃×#478	C₂²	1	1	yes	characteristic
118	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
120	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
121	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
124	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
125	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
126	C₅₃×#476	C₂²	1	1	yes	characteristic
127	C₅₃×#476	C₂²	1	1	yes	characteristic
128	C₅₃×#476	C₂²	1	1	yes	characteristic, complemented
129	C₅₃×#476	C₂²	1	1	yes	characteristic, complemented
130	C₅₃×#475	C₂²	1	1	yes	characteristic, complemented
131	C₅₃×#474	C₂²	1	1	yes	characteristic
132	C₅₃×#474	C₂²	1	1	yes	characteristic
133	C₅₃×#474	C₂²	1	1	yes	characteristic
134	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
135	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
136	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
137	C₅₃×#470	C₂²	1	1	yes	characteristic, complemented
138	C₅₃×#470	C₂²	1	1	yes	characteristic, complemented
139	C₅₃×#470	C₂²	1	1	yes	characteristic, complemented
140	C₅₃×#468	C₂²	1	1	yes	characteristic
141	C₅₃×#468	C₂²	1	1	yes	characteristic
142	C₅₃×#468	C₂²	1	1	yes	characteristic
143	C₅₃×#468	C₂²	1	1	yes	characteristic, complemented
144	C₅₃×#468	C₂²	1	1	yes	characteristic, complemented
145	C₅₃×#467	C₂²	1	1	yes	characteristic, complemented
146	C₅₃×#465	C₂²	1	1	yes	characteristic
147	C₅₃×#465	C₂²	1	1	yes	characteristic, complemented
148	C₅₃×#465	C₂²	1	1	yes	characteristic, complemented
149	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
150	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
151	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
152	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
153	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
154	C₅₃×#461	C₂²	1	1	yes	characteristic
155	C₅₃×#461	C₂²	1	1	yes	characteristic, complemented
156	C₅₃×#461	C₂²	1	1	yes	characteristic, complemented
157	C₅₃×#460	C₂²	1	1	yes	characteristic
158	C₅₃×#460	C₂²	1	1	yes	characteristic
159	C₅₃×#452	C₂²	1	1	yes	characteristic
160	C₅₃×#452	C₂²	1	1	yes	characteristic
161	C₅₃×#450	C₂²	1	1	yes	characteristic
162	C₅₃×#450	C₂²	1	1	yes	characteristic
163	C₅₃×#450	C₂²	1	1	yes	characteristic
164	C₅₃×#450	C₂²	1	1	yes	characteristic
165	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
166	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#441	C₂²	1	1	yes	characteristic, complemented
168	C₅₃×#440	C₂²	1	1	yes	characteristic
169	C₅₃×#440	C₂²	1	1	yes	characteristic
170	C₅₃×#440	C₂²	1	1	yes	characteristic
171	C₅₃×#440	C₂²	1	1	yes	characteristic
172	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
174	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄×Q₁₆×C₅₃	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic
177	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic
178	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#436	C₂²	1	1	yes	characteristic
180	C₅₃×#436	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#435	C₂²	1	1	yes	characteristic
182	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#433	C₂²	1	1	yes	characteristic, complemented
186	C₅₃×#433	C₂²	1	1	yes	characteristic, complemented
187	C₅₃×#432	C₂²	1	1	yes	characteristic, complemented
188	C₅₃×#428	C₂²	1	1	yes	characteristic, complemented
189	C₅₃×#428	C₂²	1	1	yes	characteristic, complemented
190	C₅₃×#428	C₂²	1	1	yes	characteristic, complemented
191	C₅₃×#428	C₂²	1	1	yes	characteristic, complemented
192	C₅₃×#427	C₂²	1	1	yes	characteristic, complemented
193	C₂×#107×C₅₃	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#424	C₂²	1	1	yes	characteristic, complemented
195	C₅₃×#424	C₂²	1	1	yes	characteristic, complemented
196	C₅₃×#423	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#418	C₂²	1	1	yes	characteristic
198	C₅₃×#418	C₂²	1	1	yes	characteristic
199	C₅₃×#418	C₂²	1	1	yes	characteristic
200	C₅₃×#417	C₂²	1	1	yes	characteristic
201	C₅₃×#416	C₂²	1	1	yes	characteristic
202	C₂×#102×C₅₃	C₂²	1	1	yes	characteristic
203	C₂×#41×C₅₃	—	2	1	no	—
204	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₅₃	—	2	1	no	—
206	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₅₃	—	2	1	no	—
209	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
210	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
211	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
212	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
217	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
218	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
219	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
220	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
223	C₄⋊Q₈×C₅₃	—	2	1	no	—
224	C₄⋊Q₈×C₅₃	—	2	1	no	—
225	C₄⋊Q₈×C₅₃	—	2	1	no	—
226	C₄⋊Q₈×C₅₃	—	2	1	no	—
227	C₄⋊Q₈×C₅₃	—	2	1	no	—
228	C₄⋊Q₈×C₅₃	—	2	1	no	—
229	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
230	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
231	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
232	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
233	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
236	#127×C₅₃	C₂³	1	1	yes	characteristic
237	#126×C₅₃	—	2	1	no	—
238	#126×C₅₃	—	2	1	no	—
239	#126×C₅₃	—	2	1	no	—
240	#126×C₅₃	—	2	1	no	—
241	#126×C₅₃	—	2	1	no	—
242	#126×C₅₃	—	2	1	no	—
243	#126×C₅₃	—	2	1	no	—
244	#126×C₅₃	—	2	1	no	—
245	#126×C₅₃	—	2	1	no	—
246	#126×C₅₃	—	2	1	no	—
247	#126×C₅₃	—	2	1	no	—
248	#126×C₅₃	—	2	1	no	—
249	#126×C₅₃	—	2	1	no	—
250	#126×C₅₃	—	2	1	no	—
251	#126×C₅₃	—	2	1	no	—
252	#126×C₅₃	—	2	1	no	—
253	#126×C₅₃	D₄	1	1	yes	characteristic
254	#126×C₅₃	D₄	1	1	yes	characteristic
255	#125×C₅₃	—	2	1	no	—
256	#125×C₅₃	—	2	1	no	—
257	#125×C₅₃	—	2	1	no	—
258	#125×C₅₃	—	2	1	no	—
259	#125×C₅₃	—	2	1	no	—
260	#125×C₅₃	—	2	1	no	—
261	#125×C₅₃	—	2	1	no	—
262	#125×C₅₃	—	2	1	no	—
263	#125×C₅₃	—	2	1	no	—
264	#125×C₅₃	—	2	1	no	—
265	#125×C₅₃	—	2	1	no	—
266	#125×C₅₃	—	2	1	no	—
267	#125×C₅₃	—	2	1	no	—
268	#125×C₅₃	D₄	1	1	yes	characteristic
269	#125×C₅₃	C₂³	1	1	yes	characteristic
270	#125×C₅₃	C₂³	1	1	yes	characteristic
271	#125×C₅₃	C₂³	1	1	yes	characteristic
272	#125×C₅₃	C₂³	1	1	yes	characteristic
273	#125×C₅₃	C₂³	1	1	yes	characteristic
274	#125×C₅₃	C₂³	1	1	yes	characteristic
275	#124×C₅₃	—	2	1	no	—
276	#124×C₅₃	—	2	1	no	—
277	#124×C₅₃	—	2	1	no	—
278	#124×C₅₃	—	2	1	no	—
279	#124×C₅₃	—	2	1	no	—
280	#124×C₅₃	D₄	1	1	yes	characteristic
281	#124×C₅₃	C₂³	1	1	yes	characteristic
282	#124×C₅₃	C₂³	1	1	yes	characteristic
283	#123×C₅₃	—	2	1	no	—
284	#123×C₅₃	—	2	1	no	—
285	#123×C₅₃	—	2	1	no	—
286	#123×C₅₃	—	2	1	no	—
287	#123×C₅₃	—	2	1	no	—
288	#123×C₅₃	—	2	1	no	—
289	#123×C₅₃	—	2	1	no	—
290	#123×C₅₃	—	2	1	no	—
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	D₄	1	1	yes	characteristic
298	#123×C₅₃	D₄	1	1	yes	characteristic
299	C₂²⋊Q₈×C₅₃	—	2	1	no	—
300	C₂²⋊Q₈×C₅₃	—	2	1	no	—
301	C₂²⋊Q₈×C₅₃	—	2	1	no	—
302	C₂²⋊Q₈×C₅₃	—	2	1	no	—
303	C₂²⋊Q₈×C₅₃	—	2	1	no	—
304	C₂²⋊Q₈×C₅₃	—	2	1	no	—
305	C₂²⋊Q₈×C₅₃	—	2	1	no	—
306	C₂²⋊Q₈×C₅₃	—	2	1	no	—
307	C₂²⋊Q₈×C₅₃	—	2	1	no	—
308	C₂²⋊Q₈×C₅₃	—	2	1	no	—
309	C₂²⋊Q₈×C₅₃	—	2	1	no	—
310	C₂²⋊Q₈×C₅₃	—	2	1	no	—
311	C₂²⋊Q₈×C₅₃	—	2	1	no	—
312	C₂²⋊Q₈×C₅₃	—	2	1	no	—
313	C₂²⋊Q₈×C₅₃	D₄	1	1	yes	characteristic
314	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
315	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
316	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₅₃	C₂³	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	D₄	1	1	yes	characteristic
329	#121×C₅₃	C₂³	1	1	yes	characteristic
330	#121×C₅₃	C₂³	1	1	yes	characteristic
331	#121×C₅₃	C₂³	1	1	yes	characteristic
332	#121×C₅₃	C₂³	1	1	yes	characteristic
333	#120×C₅₃	—	2	1	no	—
334	#120×C₅₃	—	2	1	no	—
335	#120×C₅₃	—	2	1	no	—
336	#120×C₅₃	—	2	1	no	—
337	C₄×Q₈×C₅₃	—	2	1	no	—
338	C₄×Q₈×C₅₃	—	2	1	no	—
339	C₄×Q₈×C₅₃	—	2	1	no	—
340	C₄×Q₈×C₅₃	—	2	1	no	—
341	C₄×Q₈×C₅₃	—	2	1	no	—
342	C₄×Q₈×C₅₃	—	2	1	no	—
343	C₄×Q₈×C₅₃	—	2	1	no	—
344	C₄×Q₈×C₅₃	—	2	1	no	—
345	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
347	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
348	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
349	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
350	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
351	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
352	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
353	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
354	C₄×D₄×C₅₃	—	2	1	no	—
355	C₄×D₄×C₅₃	—	2	1	no	—
356	C₄×D₄×C₅₃	—	2	1	no	—
357	C₄×D₄×C₅₃	—	2	1	no	—
358	C₄×D₄×C₅₃	—	2	1	no	—
359	C₄×D₄×C₅₃	—	2	1	no	—
360	C₄×D₄×C₅₃	—	2	1	no	—
361	C₄×D₄×C₅₃	—	2	1	no	—
362	C₄×D₄×C₅₃	—	2	1	no	—
363	C₄×D₄×C₅₃	—	2	1	no	—
364	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
372	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
373	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
375	#117×C₅₃	—	2	1	no	—
376	#117×C₅₃	—	2	1	no	—
377	#117×C₅₃	—	2	1	no	—
378	#117×C₅₃	—	2	1	no	—
379	#117×C₅₃	—	2	1	no	—
380	#117×C₅₃	—	2	1	no	—
381	#117×C₅₃	C₂³	1	1	yes	characteristic
382	#117×C₅₃	C₂³	1	1	yes	characteristic
383	#117×C₅₃	C₂³	1	1	yes	characteristic
384	#117×C₅₃	C₂³	1	1	yes	characteristic
385	#117×C₅₃	C₂³	1	1	yes	characteristic
386	#117×C₅₃	C₂³	1	1	yes	characteristic
387	#117×C₅₃	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
389	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
390	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
394	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
395	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
396	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
397	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
398	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
399	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
400	#107×C₅₃	C₂³	1	1	yes	characteristic
401	#107×C₅₃	C₂³	1	1	yes	characteristic
402	#107×C₅₃	C₂³	1	1	yes	characteristic
403	#107×C₅₃	C₂³	1	1	yes	characteristic
404	#107×C₅₃	C₂³	1	1	yes	characteristic
405	#107×C₅₃	C₂³	1	1	yes	characteristic
406	#107×C₅₃	C₂³	1	1	yes	characteristic
407	#107×C₅₃	C₂³	1	1	yes	characteristic
408	#107×C₅₃	C₂³	1	1	yes	characteristic
409	#107×C₅₃	C₂³	1	1	yes	characteristic
410	#107×C₅₃	C₂³	1	1	yes	characteristic
411	#107×C₅₃	C₂³	1	1	yes	characteristic
412	#107×C₅₃	C₂³	1	1	yes	characteristic
413	#107×C₅₃	C₂³	1	1	yes	characteristic
414	#106×C₅₃	C₂³	1	1	yes	characteristic
415	#106×C₅₃	C₂³	1	1	yes	characteristic
416	#106×C₅₃	C₂³	1	1	yes	characteristic
417	#106×C₅₃	C₂³	1	1	yes	characteristic
418	#106×C₅₃	C₂³	1	1	yes	characteristic
419	#106×C₅₃	C₂³	1	1	yes	characteristic
420	#106×C₅₃	C₂³	1	1	yes	characteristic
421	#106×C₅₃	C₂³	1	1	yes	characteristic
422	#106×C₅₃	C₂³	1	1	yes	characteristic
423	#106×C₅₃	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×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	#103×C₅₃	C₂³	1	1	yes	characteristic
435	#103×C₅₃	C₂³	1	1	yes	characteristic
436	#103×C₅₃	C₂³	1	1	yes	characteristic
437	#103×C₅₃	C₂³	1	1	yes	characteristic
438	#103×C₅₃	C₂³	1	1	yes	characteristic
439	#103×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	#102×C₅₃	C₂³	1	1	yes	characteristic
449	#102×C₅₃	C₂³	1	1	yes	characteristic
450	#102×C₅₃	C₂³	1	1	yes	characteristic
451	#102×C₅₃	C₂³	1	1	yes	characteristic
452	#102×C₅₃	C₂³	1	1	yes	characteristic
453	#102×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	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
472	#97×C₅₃	C₂³	1	1	yes	characteristic
473	#97×C₅₃	C₂³	1	1	yes	characteristic
474	#97×C₅₃	C₂³	1	1	yes	characteristic
475	#97×C₅₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
478	C₂⁴×C₅₃	—	2	1	no	—
479	C₂⁴×C₅₃	—	2	1	no	—
480	#41×C₅₃	—	2	2	no	—
481	#41×C₅₃	—	4	1	no	—
482	#41×C₅₃	—	8	2	no	—
483	C₂×Q₈×C₅₃	—	2	1	no	—
484	C₂×Q₈×C₅₃	—	2	1	no	—
485	C₂×Q₈×C₅₃	—	2	1	no	—
486	C₂×Q₈×C₅₃	—	2	1	no	—
487	C₂×Q₈×C₅₃	—	2	1	no	—
488	C₂×Q₈×C₅₃	—	2	1	no	—
489	C₂×Q₈×C₅₃	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
491	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
493	C₂×D₄×C₅₃	—	2	2	no	—
494	C₂×D₄×C₅₃	—	2	2	no	—
495	C₂×D₄×C₅₃	—	2	1	no	—
496	C₂×D₄×C₅₃	—	2	1	no	—
497	C₂×D₄×C₅₃	—	2	1	no	—
498	C₂×D₄×C₅₃	—	2	1	no	—
499	C₂×D₄×C₅₃	—	2	1	no	—
500	C₂×D₄×C₅₃	—	2	1	no	—
501	C₂×D₄×C₅₃	—	2	1	no	—
502	C₂×D₄×C₅₃	—	2	1	no	—
503	C₂×D₄×C₅₃	—	2	1	no	—
504	C₂×D₄×C₅₃	—	4	1	no	—
505	C₂×D₄×C₅₃	—	4	1	no	—
506	C₂×D₄×C₅₃	—	8	2	no	—
507	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
510	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₅₃	—	2	1	no	—
514	C₂²×C₄×C₅₃	—	2	1	no	—
515	C₂²×C₄×C₅₃	—	2	1	no	—
516	C₂²×C₄×C₅₃	—	2	1	no	—
517	C₂²×C₄×C₅₃	—	2	1	no	—
518	C₂²×C₄×C₅₃	—	2	1	no	—
519	C₂²×C₄×C₅₃	—	2	1	no	—
520	C₂²×C₄×C₅₃	—	2	1	no	—
521	C₂²×C₄×C₅₃	—	2	1	no	—
522	C₂²×C₄×C₅₃	—	2	1	no	—
523	C₂²×C₄×C₅₃	—	2	1	no	—
524	C₂²×C₄×C₅₃	—	2	1	no	—
525	C₂²×C₄×C₅₃	—	2	1	no	—
526	C₂²×C₄×C₅₃	—	8	2	no	—
527	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×C₄×C₅₃	C₂×D₄	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	Q₁₆×C₅₃	—	4	1	no	—
533	Q₁₆×C₅₃	—	4	1	no	—
534	SD₁₆×C₅₃	—	2	2	no	—
535	SD₁₆×C₅₃	—	2	2	no	—
536	SD₁₆×C₅₃	—	4	1	no	—
537	SD₁₆×C₅₃	—	4	1	no	—
538	SD₁₆×C₅₃	—	4	1	no	—
539	SD₁₆×C₅₃	—	4	1	no	—
540	M₁₆×C₅₃	—	4	1	no	—
541	M₁₆×C₅₃	—	4	1	no	—
542	M₁₆×C₅₃	—	4	1	no	—
543	M₁₆×C₅₃	—	4	1	no	—
544	C₂×C₈×C₅₃	—	4	1	no	—
545	C₂×C₈×C₅₃	—	4	1	no	—
546	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
548	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
554	C₄⋊C₄×C₅₃	—	2	1	no	—
555	C₄⋊C₄×C₅₃	—	2	1	no	—
556	C₄⋊C₄×C₅₃	—	2	1	no	—
557	C₄⋊C₄×C₅₃	—	2	1	no	—
558	C₄⋊C₄×C₅₃	—	2	1	no	—
559	C₄⋊C₄×C₅₃	—	2	1	no	—
560	C₄⋊C₄×C₅₃	—	2	1	no	—
561	C₄⋊C₄×C₅₃	—	2	1	no	—
562	C₄⋊C₄×C₅₃	—	2	1	no	—
563	C₄⋊C₄×C₅₃	—	2	1	no	—
564	C₄⋊C₄×C₅₃	—	2	1	no	—
565	C₄⋊C₄×C₅₃	—	2	1	no	—
566	C₄⋊C₄×C₅₃	—	2	1	no	—
567	C₄⋊C₄×C₅₃	—	2	1	no	—
568	C₄⋊C₄×C₅₃	—	2	1	no	—
569	C₄⋊C₄×C₅₃	—	2	1	no	—
570	C₄⋊C₄×C₅₃	—	2	1	no	—
571	C₄⋊C₄×C₅₃	—	2	1	no	—
572	C₄⋊C₄×C₅₃	—	2	1	no	—
573	C₄⋊C₄×C₅₃	—	2	1	no	—
574	C₄⋊C₄×C₅₃	—	2	1	no	—
575	C₄⋊C₄×C₅₃	—	2	1	no	—
576	C₄⋊C₄×C₅₃	—	2	1	no	—
577	C₄⋊C₄×C₅₃	—	2	1	no	—
578	C₄⋊C₄×C₅₃	—	2	1	no	—
579	C₄⋊C₄×C₅₃	—	2	1	no	—
580	C₄⋊C₄×C₅₃	—	2	1	no	—
581	C₄⋊C₄×C₅₃	—	2	1	no	—
582	C₄⋊C₄×C₅₃	—	2	1	no	—
583	C₄⋊C₄×C₅₃	—	2	1	no	—
584	C₄⋊C₄×C₅₃	—	2	1	no	—
585	C₄⋊C₄×C₅₃	—	2	1	no	—
586	C₄⋊C₄×C₅₃	—	2	1	no	—
587	C₄⋊C₄×C₅₃	—	2	1	no	—
588	C₄⋊C₄×C₅₃	—	2	1	no	—
589	C₄⋊C₄×C₅₃	—	2	1	no	—
590	C₄⋊C₄×C₅₃	—	2	1	no	—
591	C₄⋊C₄×C₅₃	—	2	1	no	—
592	C₄⋊C₄×C₅₃	—	2	1	no	—
593	C₄⋊C₄×C₅₃	—	2	1	no	—
594	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
595	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
596	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
597	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
598	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
599	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
605	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
606	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
607	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
608	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
609	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
614	C₂²⋊C₄×C₅₃	—	2	1	no	—
615	C₂²⋊C₄×C₅₃	—	2	1	no	—
616	C₂²⋊C₄×C₅₃	—	2	1	no	—
617	C₂²⋊C₄×C₅₃	—	2	1	no	—
618	C₂²⋊C₄×C₅₃	—	2	1	no	—
619	C₂²⋊C₄×C₅₃	—	2	1	no	—
620	C₂²⋊C₄×C₅₃	—	2	1	no	—
621	C₂²⋊C₄×C₅₃	—	2	1	no	—
622	C₂²⋊C₄×C₅₃	—	2	1	no	—
623	C₂²⋊C₄×C₅₃	—	2	1	no	—
624	C₂²⋊C₄×C₅₃	—	2	1	no	—
625	C₂²⋊C₄×C₅₃	—	2	1	no	—
626	C₂²⋊C₄×C₅₃	—	2	1	no	—
627	C₂²⋊C₄×C₅₃	—	2	1	no	—
628	C₂²⋊C₄×C₅₃	—	2	1	no	—
629	C₂²⋊C₄×C₅₃	—	2	1	no	—
630	C₂²⋊C₄×C₅₃	—	2	1	no	—
631	C₂²⋊C₄×C₅₃	—	2	1	no	—
632	C₂²⋊C₄×C₅₃	—	2	1	no	—
633	C₂²⋊C₄×C₅₃	—	2	1	no	—
634	C₂²⋊C₄×C₅₃	—	2	1	no	—
635	C₂²⋊C₄×C₅₃	—	2	1	no	—
636	C₂²⋊C₄×C₅₃	—	2	1	no	—
637	C₂²⋊C₄×C₅₃	—	2	1	no	—
638	C₂²⋊C₄×C₅₃	—	2	1	no	—
639	C₂²⋊C₄×C₅₃	—	2	1	no	—
640	C₂²⋊C₄×C₅₃	—	2	1	no	—
641	C₂²⋊C₄×C₅₃	—	2	1	no	—
642	C₂²⋊C₄×C₅₃	—	2	1	no	—
643	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
649	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
653	C₄²×C₅₃	—	2	1	no	—
654	C₄²×C₅₃	—	2	1	no	—
655	C₄²×C₅₃	—	2	1	no	—
656	C₄²×C₅₃	—	2	1	no	—
657	C₄²×C₅₃	—	2	1	no	—
658	C₄²×C₅₃	—	2	1	no	—
659	C₄²×C₅₃	—	2	1	no	—
660	C₄²×C₅₃	—	2	1	no	—
661	C₄²×C₅₃	—	2	1	no	—
662	C₄²×C₅₃	—	2	1	no	—
663	C₄²×C₅₃	—	2	1	no	—
664	C₄²×C₅₃	—	2	1	no	—
665	C₄²×C₅₃	—	2	1	no	—
666	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
669	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
670	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
671	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
672	C₂³×C₅₃	—	2	1	no	—
673	C₂³×C₅₃	—	2	1	no	—
674	C₂³×C₅₃	—	2	1	no	—
675	C₂³×C₅₃	—	4	2	no	—
676	C₂³×C₅₃	—	4	2	no	—
677	C₂³×C₅₃	—	4	2	no	—
678	C₂³×C₅₃	—	8	1	no	—
679	C₂³×C₅₃	—	8	1	no	—
680	C₂³×C₅₃	—	8	1	no	—
681	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
682	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
683	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
684	Q₈×C₅₃	—	2	1	no	—
685	Q₈×C₅₃	—	2	1	no	—
686	Q₈×C₅₃	—	2	1	no	—
687	Q₈×C₅₃	—	2	1	no	—
688	Q₈×C₅₃	—	2	1	no	—
689	Q₈×C₅₃	—	2	1	no	—
690	Q₈×C₅₃	—	4	1	no	—
691	Q₈×C₅₃	—	4	2	no	—
692	Q₈×C₅₃	—	8	1	no	—
693	Q₈×C₅₃	—	8	1	no	—
694	Q₈×C₅₃	—	8	1	no	—
695	Q₈×C₅₃	—	8	1	no	—
696	Q₈×C₅₃	—	8	1	no	—
697	D₄×C₅₃	—	2	1	no	—
698	D₄×C₅₃	—	2	1	no	—
699	D₄×C₅₃	—	2	1	no	—
700	D₄×C₅₃	—	2	1	no	—
701	D₄×C₅₃	—	2	1	no	—
702	D₄×C₅₃	—	4	1	no	—
703	D₄×C₅₃	—	4	1	no	—
704	D₄×C₅₃	—	4	1	no	—
705	D₄×C₅₃	—	4	2	no	—
706	D₄×C₅₃	—	4	2	no	—
707	D₄×C₅₃	—	4	2	no	—
708	D₄×C₅₃	—	4	2	no	—
709	D₄×C₅₃	—	8	1	no	—
710	D₄×C₅₃	—	8	1	no	—
711	D₄×C₅₃	—	8	1	no	—
712	D₄×C₅₃	—	8	1	no	—
713	D₄×C₅₃	—	8	1	no	—
714	D₄×C₅₃	2₋¹⁺⁴	1	2	yes	—
715	C₂×C₄×C₅₃	—	2	1	no	—
716	C₂×C₄×C₅₃	—	2	1	no	—
717	C₂×C₄×C₅₃	—	2	1	no	—
718	C₂×C₄×C₅₃	—	2	1	no	—
719	C₂×C₄×C₅₃	—	2	1	no	—
720	C₂×C₄×C₅₃	—	2	1	no	—
721	C₂×C₄×C₅₃	—	2	1	no	—
722	C₂×C₄×C₅₃	—	2	1	no	—
723	C₂×C₄×C₅₃	—	2	1	no	—
724	C₂×C₄×C₅₃	—	2	1	no	—
725	C₂×C₄×C₅₃	—	2	1	no	—
726	C₂×C₄×C₅₃	—	2	1	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	—	4	1	no	—
735	C₂×C₄×C₅₃	—	4	1	no	—
736	C₂×C₄×C₅₃	—	4	2	no	—
737	C₂×C₄×C₅₃	—	4	2	no	—
738	C₂×C₄×C₅₃	—	8	1	no	—
739	C₂×C₄×C₅₃	—	8	1	no	—
740	C₂×C₄×C₅₃	—	8	1	no	—
741	C₂×C₄×C₅₃	—	8	1	no	—
742	C₂×C₄×C₅₃	—	8	1	no	—
743	C₂×C₄×C₅₃	—	8	1	no	—
744	C₂×C₄×C₅₃	—	8	1	no	—
745	C₂×C₄×C₅₃	—	8	1	no	—
746	C₂×C₄×C₅₃	—	8	1	no	—
747	C₂×C₄×C₅₃	—	8	1	no	—
748	C₂×C₄×C₅₃	—	8	1	no	—
749	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
754	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
755	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
761	C₈×C₅₃	—	2	1	no	—
762	C₈×C₅₃	—	2	1	no	—
763	C₈×C₅₃	—	2	1	no	—
764	C₈×C₅₃	—	2	1	no	—
765	C₈×C₅₃	—	2	1	no	—
766	C₈×C₅₃	—	2	1	no	—
767	C₈×C₅₃	—	2	1	no	—
768	C₈×C₅₃	—	2	1	no	—
769	#62232	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
770	C₂²×C₅₃	—	2	1	no	—
771	C₂²×C₅₃	—	2	1	no	—
772	C₂²×C₅₃	—	2	1	no	—
773	C₂²×C₅₃	—	2	1	no	—
774	C₂²×C₅₃	—	2	1	no	—
775	C₂²×C₅₃	—	2	1	no	—
776	C₂²×C₅₃	—	2	1	no	—
777	C₂²×C₅₃	—	2	1	no	—
778	C₂²×C₅₃	—	2	1	no	—
779	C₂²×C₅₃	—	2	2	no	—
780	C₂²×C₅₃	—	4	1	no	—
781	C₂²×C₅₃	—	4	1	no	—
782	C₂²×C₅₃	—	4	1	no	—
783	C₂²×C₅₃	—	4	1	no	—
784	C₂²×C₅₃	—	4	1	no	—
785	C₂²×C₅₃	—	4	1	no	—
786	C₂²×C₅₃	—	4	1	no	—
787	C₂²×C₅₃	—	4	1	no	—
788	C₂²×C₅₃	—	8	4	no	—
789	C₂²×C₅₃	—	16	2	no	—
790	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
791	C₄×C₅₃	—	2	1	no	—
792	C₄×C₅₃	—	2	1	no	—
793	C₄×C₅₃	—	2	1	no	—
794	C₄×C₅₃	—	2	1	no	—
795	C₄×C₅₃	—	2	1	no	—
796	C₄×C₅₃	—	2	1	no	—
797	C₄×C₅₃	—	2	1	no	—
798	C₄×C₅₃	—	2	1	no	—
799	C₄×C₅₃	—	2	1	no	—
800	C₄×C₅₃	—	2	1	no	—
801	C₄×C₅₃	—	2	1	no	—
802	C₄×C₅₃	—	4	1	no	—
803	C₄×C₅₃	—	4	1	no	—
804	C₄×C₅₃	—	4	1	no	—
805	C₄×C₅₃	—	4	1	no	—
806	C₄×C₅₃	—	4	1	no	—
807	C₄×C₅₃	—	4	1	no	—
808	C₄×C₅₃	—	4	1	no	—
809	C₄×C₅₃	—	4	1	no	—
810	C₄×C₅₃	—	4	1	no	—
811	C₄×C₅₃	—	4	1	no	—
812	C₄×C₅₃	—	4	1	no	—
813	C₄×C₅₃	—	4	1	no	—
814	C₄×C₅₃	—	4	1	no	—
815	C₄×C₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
816	C₄×C₅₃	#585	1	1	yes	characteristic
817	#3555	C₂×C₅₃	1	1	yes	characteristic, complemented
818	#3513	C₂×C₅₃	1	1	yes	characteristic
819	#3388	C₂×C₅₃	1	1	yes	characteristic, complemented
820	#3385	C₂×C₅₃	1	1	yes	characteristic, complemented
821	#3375	C₂×C₅₃	1	1	yes	characteristic, complemented
822	#3371	C₂×C₅₃	1	1	yes	characteristic, complemented
823	#3353	C₂×C₅₃	1	1	yes	characteristic, complemented
824	#3352	C₂×C₅₃	1	1	yes	characteristic, complemented
825	#3350	C₂×C₅₃	1	1	yes	characteristic, complemented
826	#3349	C₂×C₅₃	1	1	yes	characteristic, complemented
827	#3346	C₂×C₅₃	1	1	yes	characteristic, complemented
828	#3343	C₂×C₅₃	1	1	yes	characteristic, complemented
829	#3324	C₂×C₅₃	1	1	yes	characteristic, complemented
830	#3323	C₂×C₅₃	1	1	yes	characteristic, complemented
831	#3314	C₂×C₅₃	1	1	yes	characteristic, complemented
832	#3311	C₂×C₅₃	1	1	yes	characteristic, complemented
833	#3311	C₂×C₅₃	1	1	yes	characteristic, complemented
834	#3310	C₂×C₅₃	1	1	yes	characteristic, complemented
835	#3260	C₂×C₅₃	1	1	yes	characteristic, complemented
836	#3258	C₂×C₅₃	1	1	yes	characteristic, complemented
837	#3252	C₂×C₅₃	1	1	yes	characteristic, complemented
838	#3243	C₂×C₅₃	1	1	yes	characteristic, complemented
839	#3241	C₂×C₅₃	1	1	yes	characteristic, complemented
840	#3240	C₂×C₅₃	1	1	yes	characteristic, complemented
841	#3123	C₂×C₅₃	1	1	yes	characteristic, complemented
842	#3120	C₂×C₅₃	1	1	yes	characteristic, complemented
843	#3110	C₂×C₅₃	1	1	yes	characteristic, complemented
844	#3083	C₂×C₅₃	1	1	yes	characteristic, complemented
845	#3081	C₂×C₅₃	1	1	yes	characteristic, complemented
846	#3077	C₂×C₅₃	1	1	yes	characteristic, complemented
847	#2995	C₂×C₅₃	1	1	yes	characteristic, complemented
848	C₂×C₅₃	—	4	1	no	—
849	C₂×C₅₃	—	4	1	no	—
850	C₂×C₅₃	—	4	1	no	—
851	C₂×C₅₃	—	4	2	no	—
852	C₂×C₅₃	—	8	1	no	—
853	C₂×C₅₃	—	8	1	no	—
854	C₂×C₅₃	#3489	1	1	yes	characteristic
855	C₂×C₅₃	#3585	1	1	yes	characteristic
856	C₂×C₅₃	#3586	1	1	yes	characteristic
857	#563	—	2	1	no	—
858	#563	—	2	1	no	—
859	#559	C₂²×C₅₃	1	1	yes	characteristic
860	Q₈²	C₂²×C₅₃	1	1	yes	characteristic, complemented
861	#557	—	2	1	no	—
862	#557	C₂²×C₅₃	1	1	yes	characteristic, complemented
863	#556	—	2	1	no	—
864	#556	C₂²×C₅₃	1	1	yes	characteristic
865	#556	C₂²×C₅₃	1	1	yes	characteristic, complemented
866	#556	C₂²×C₅₃	1	1	yes	characteristic, complemented
867	#554	C₂²×C₅₃	1	1	yes	characteristic
868	#554	C₂²×C₅₃	1	1	yes	characteristic, complemented
869	#553	—	2	1	no	—
870	#553	C₂²×C₅₃	1	1	yes	characteristic
871	#552	C₂²×C₅₃	1	1	yes	characteristic
872	#552	C₂²×C₅₃	1	1	yes	characteristic
873	#552	C₂²×C₅₃	1	1	yes	characteristic, complemented
874	#551	—	2	1	no	—
875	#551	—	2	1	no	—
876	#547	C₂²×C₅₃	1	1	yes	characteristic
877	#546	—	2	1	no	—
878	#546	C₂²×C₅₃	1	1	yes	characteristic
879	#546	C₂²×C₅₃	1	1	yes	characteristic
880	D₄²	C₂²×C₅₃	1	1	yes	characteristic
881	#544	C₂²×C₅₃	1	1	yes	characteristic, complemented
882	#544	C₂²×C₅₃	1	1	yes	characteristic, complemented
883	#542	—	2	1	no	—
884	#542	C₂²×C₅₃	1	1	yes	characteristic
885	#541	—	2	1	no	—
886	#541	—	2	1	no	—
887	#541	—	2	1	no	—
888	#541	C₂²×C₅₃	1	1	yes	characteristic, complemented
889	#541	C₂²×C₅₃	1	1	yes	characteristic, complemented
890	#540	C₂²×C₅₃	1	1	yes	characteristic
891	#539	—	2	1	no	—
892	#538	—	2	1	no	—
893	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
894	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
895	#529	C₂²×C₅₃	1	1	yes	characteristic
896	#529	C₂²×C₅₃	1	1	yes	characteristic
897	#525	—	2	1	no	—
898	C₂×#123	—	2	1	no	—
899	#520	C₂²×C₅₃	1	1	yes	characteristic
900	#518	C₂²×C₅₃	1	1	yes	characteristic
901	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
902	#501	C₂²×C₅₃	1	1	yes	characteristic, complemented
903	#501	C₂²×C₅₃	1	1	yes	characteristic, complemented
904	#501	C₂²×C₅₃	1	1	yes	characteristic, complemented
905	#501	C₂²×C₅₃	1	1	yes	characteristic, complemented
906	#500	C₂²×C₅₃	1	1	yes	characteristic, complemented
907	#499	C₂²×C₅₃	1	1	yes	characteristic, complemented
908	#490	C₂²×C₅₃	1	1	yes	characteristic
909	#489	C₂²×C₅₃	1	1	yes	characteristic, complemented
910	#489	C₂²×C₅₃	1	1	yes	characteristic, complemented
911	#489	C₂²×C₅₃	1	1	yes	characteristic, complemented
912	#488	C₂²×C₅₃	1	1	yes	characteristic, complemented
913	#486	C₂²×C₅₃	1	1	yes	characteristic
914	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
915	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
916	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
917	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
918	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
919	#484	C₂²×C₅₃	1	1	yes	characteristic, complemented
920	#484	C₂²×C₅₃	1	1	yes	characteristic, complemented
921	#484	C₂²×C₅₃	1	1	yes	characteristic, complemented
922	#484	C₂²×C₅₃	1	1	yes	characteristic, complemented
923	#483	C₂²×C₅₃	1	1	yes	characteristic, complemented
924	#482	C₂²×C₅₃	1	1	yes	characteristic
925	#482	C₂²×C₅₃	1	1	yes	characteristic
926	#482	C₂²×C₅₃	1	1	yes	characteristic
927	#482	C₂²×C₅₃	1	1	yes	characteristic, complemented
928	#482	C₂²×C₅₃	1	1	yes	characteristic, complemented
929	#481	C₂²×C₅₃	1	1	yes	characteristic, complemented
930	#480	C₂²×C₅₃	1	1	yes	characteristic
931	#480	C₂²×C₅₃	1	1	yes	characteristic, complemented
932	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
933	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
934	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
935	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
936	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
937	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
938	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
939	#478	C₂²×C₅₃	1	1	yes	characteristic
940	#478	C₂²×C₅₃	1	1	yes	characteristic
941	#478	C₂²×C₅₃	1	1	yes	characteristic
942	#478	C₂²×C₅₃	1	1	yes	characteristic
943	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
944	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
945	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
946	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
947	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
948	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
949	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
950	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
951	#476	C₂²×C₅₃	1	1	yes	characteristic
952	#476	C₂²×C₅₃	1	1	yes	characteristic
953	#476	C₂²×C₅₃	1	1	yes	characteristic, complemented
954	#476	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	#475	C₂²×C₅₃	1	1	yes	characteristic, complemented
956	#474	C₂²×C₅₃	1	1	yes	characteristic
957	#474	C₂²×C₅₃	1	1	yes	characteristic
958	#474	C₂²×C₅₃	1	1	yes	characteristic
959	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
962	#470	C₂²×C₅₃	1	1	yes	characteristic, complemented
963	#470	C₂²×C₅₃	1	1	yes	characteristic, complemented
964	#470	C₂²×C₅₃	1	1	yes	characteristic, complemented
965	#468	C₂²×C₅₃	1	1	yes	characteristic
966	#468	C₂²×C₅₃	1	1	yes	characteristic
967	#468	C₂²×C₅₃	1	1	yes	characteristic
968	#468	C₂²×C₅₃	1	1	yes	characteristic, complemented
969	#468	C₂²×C₅₃	1	1	yes	characteristic, complemented
970	#467	C₂²×C₅₃	1	1	yes	characteristic, complemented
971	#465	C₂²×C₅₃	1	1	yes	characteristic
972	#465	C₂²×C₅₃	1	1	yes	characteristic, complemented
973	#465	C₂²×C₅₃	1	1	yes	characteristic, complemented
974	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
976	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
977	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
978	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
979	#461	C₂²×C₅₃	1	1	yes	characteristic
980	#461	C₂²×C₅₃	1	1	yes	characteristic, complemented
981	#461	C₂²×C₅₃	1	1	yes	characteristic, complemented
982	#460	C₂²×C₅₃	1	1	yes	characteristic
983	#460	C₂²×C₅₃	1	1	yes	characteristic
984	#452	C₂²×C₅₃	1	1	yes	characteristic
985	#452	C₂²×C₅₃	1	1	yes	characteristic
986	#450	C₂²×C₅₃	1	1	yes	characteristic
987	#450	C₂²×C₅₃	1	1	yes	characteristic
988	#450	C₂²×C₅₃	1	1	yes	characteristic
989	#450	C₂²×C₅₃	1	1	yes	characteristic
990	#446	C₂²×C₅₃	1	1	yes	characteristic, complemented
991	#446	C₂²×C₅₃	1	1	yes	characteristic, complemented
992	#441	C₂²×C₅₃	1	1	yes	characteristic, complemented
993	#440	C₂²×C₅₃	1	1	yes	characteristic
994	#440	C₂²×C₅₃	1	1	yes	characteristic
995	#440	C₂²×C₅₃	1	1	yes	characteristic
996	#440	C₂²×C₅₃	1	1	yes	characteristic
997	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
998	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
999	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
1000	C₄×Q₁₆	C₂²×C₅₃	1	1	yes	characteristic, complemented
1001	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic
1002	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic
1003	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic, complemented
1004	#436	C₂²×C₅₃	1	1	yes	characteristic
1005	#436	C₂²×C₅₃	1	1	yes	characteristic, complemented
1006	#435	C₂²×C₅₃	1	1	yes	characteristic
1007	#435	C₂²×C₅₃	1	1	yes	characteristic, complemented
1008	#435	C₂²×C₅₃	1	1	yes	characteristic, complemented
1009	#435	C₂²×C₅₃	1	1	yes	characteristic, complemented
1010	#433	C₂²×C₅₃	1	1	yes	characteristic, complemented
1011	#433	C₂²×C₅₃	1	1	yes	characteristic, complemented
1012	#432	C₂²×C₅₃	1	1	yes	characteristic, complemented
1013	#428	C₂²×C₅₃	1	1	yes	characteristic, complemented
1014	#428	C₂²×C₅₃	1	1	yes	characteristic, complemented
1015	#428	C₂²×C₅₃	1	1	yes	characteristic, complemented
1016	#428	C₂²×C₅₃	1	1	yes	characteristic, complemented
1017	#427	C₂²×C₅₃	1	1	yes	characteristic, complemented
1018	C₂×#107	C₂²×C₅₃	1	1	yes	characteristic, complemented
1019	#424	C₂²×C₅₃	1	1	yes	characteristic, complemented
1020	#424	C₂²×C₅₃	1	1	yes	characteristic, complemented
1021	#423	C₂²×C₅₃	1	1	yes	characteristic, complemented
1022	#418	C₂²×C₅₃	1	1	yes	characteristic
1023	#418	C₂²×C₅₃	1	1	yes	characteristic
1024	#418	C₂²×C₅₃	1	1	yes	characteristic
1025	#417	C₂²×C₅₃	1	1	yes	characteristic
1026	#416	C₂²×C₅₃	1	1	yes	characteristic
1027	C₂×#102	C₂²×C₅₃	1	1	yes	characteristic
1028	C₅₃	#62232	1	1	yes	characteristic, direct product factor, Sylow
1029	C₂×#41	—	2	1	no	—
1030	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1031	C₂²×D₄	—	2	1	no	—
1032	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1033	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1034	C₂³×C₄	—	2	1	no	—
1035	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1037	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1038	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1039	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1040	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1041	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1042	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1043	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1044	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1045	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1046	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1047	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1048	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1049	C₄⋊Q₈	—	2	1	no	—
1050	C₄⋊Q₈	—	2	1	no	—
1051	C₄⋊Q₈	—	2	1	no	—
1052	C₄⋊Q₈	—	2	1	no	—
1053	C₄⋊Q₈	—	2	1	no	—
1054	C₄⋊Q₈	—	2	1	no	—
1055	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1056	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1057	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1058	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1059	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1060	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1061	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1062	#127	C₂³×C₅₃	1	1	yes	characteristic
1063	#126	—	2	1	no	—
1064	#126	—	2	1	no	—
1065	#126	—	2	1	no	—
1066	#126	—	2	1	no	—
1067	#126	—	2	1	no	—
1068	#126	—	2	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	2	1	no	—
1072	#126	—	2	1	no	—
1073	#126	—	2	1	no	—
1074	#126	—	2	1	no	—
1075	#126	—	2	1	no	—
1076	#126	—	2	1	no	—
1077	#126	—	2	1	no	—
1078	#126	—	2	1	no	—
1079	#126	D₄×C₅₃	1	1	yes	characteristic
1080	#126	D₄×C₅₃	1	1	yes	characteristic
1081	#125	—	2	1	no	—
1082	#125	—	2	1	no	—
1083	#125	—	2	1	no	—
1084	#125	—	2	1	no	—
1085	#125	—	2	1	no	—
1086	#125	—	2	1	no	—
1087	#125	—	2	1	no	—
1088	#125	—	2	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	D₄×C₅₃	1	1	yes	characteristic
1095	#125	C₂³×C₅₃	1	1	yes	characteristic
1096	#125	C₂³×C₅₃	1	1	yes	characteristic
1097	#125	C₂³×C₅₃	1	1	yes	characteristic
1098	#125	C₂³×C₅₃	1	1	yes	characteristic
1099	#125	C₂³×C₅₃	1	1	yes	characteristic
1100	#125	C₂³×C₅₃	1	1	yes	characteristic
1101	#124	—	2	1	no	—
1102	#124	—	2	1	no	—
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	D₄×C₅₃	1	1	yes	characteristic
1107	#124	C₂³×C₅₃	1	1	yes	characteristic
1108	#124	C₂³×C₅₃	1	1	yes	characteristic
1109	#123	—	2	1	no	—
1110	#123	—	2	1	no	—
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	D₄×C₅₃	1	1	yes	characteristic
1124	#123	D₄×C₅₃	1	1	yes	characteristic
1125	C₂²⋊Q₈	—	2	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	D₄×C₅₃	1	1	yes	characteristic
1140	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1141	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1142	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1143	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1144	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1148	#121	—	2	1	no	—
1149	#121	—	2	1	no	—
1150	#121	—	2	1	no	—
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	D₄×C₅₃	1	1	yes	characteristic
1155	#121	C₂³×C₅₃	1	1	yes	characteristic
1156	#121	C₂³×C₅₃	1	1	yes	characteristic
1157	#121	C₂³×C₅₃	1	1	yes	characteristic
1158	#121	C₂³×C₅₃	1	1	yes	characteristic
1159	#120	—	2	1	no	—
1160	#120	—	2	1	no	—
1161	#120	—	2	1	no	—
1162	#120	—	2	1	no	—
1163	C₄×Q₈	—	2	1	no	—
1164	C₄×Q₈	—	2	1	no	—
1165	C₄×Q₈	—	2	1	no	—
1166	C₄×Q₈	—	2	1	no	—
1167	C₄×Q₈	—	2	1	no	—
1168	C₄×Q₈	—	2	1	no	—
1169	C₄×Q₈	—	2	1	no	—
1170	C₄×Q₈	—	2	1	no	—
1171	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1172	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1173	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1174	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1175	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1176	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1177	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1180	C₄×D₄	—	2	1	no	—
1181	C₄×D₄	—	2	1	no	—
1182	C₄×D₄	—	2	1	no	—
1183	C₄×D₄	—	2	1	no	—
1184	C₄×D₄	—	2	1	no	—
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1191	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1192	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1193	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1194	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1195	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1196	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1197	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1198	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1199	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1200	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1201	#117	—	2	1	no	—
1202	#117	—	2	1	no	—
1203	#117	—	2	1	no	—
1204	#117	—	2	1	no	—
1205	#117	—	2	1	no	—
1206	#117	—	2	1	no	—
1207	#117	C₂³×C₅₃	1	1	yes	characteristic
1208	#117	C₂³×C₅₃	1	1	yes	characteristic
1209	#117	C₂³×C₅₃	1	1	yes	characteristic
1210	#117	C₂³×C₅₃	1	1	yes	characteristic
1211	#117	C₂³×C₅₃	1	1	yes	characteristic
1212	#117	C₂³×C₅₃	1	1	yes	characteristic
1213	#117	C₂³×C₅₃	1	1	yes	characteristic
1214	C₂×C₄⋊C₄	—	2	1	no	—
1215	C₂×C₄⋊C₄	—	2	1	no	—
1216	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1217	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1218	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1219	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1220	C₂×C₂²⋊C₄	—	2	1	no	—
1221	C₂×C₂²⋊C₄	—	2	1	no	—
1222	C₂×C₂²⋊C₄	—	2	1	no	—
1223	C₂×C₂²⋊C₄	—	2	1	no	—
1224	C₂×C₂²⋊C₄	—	2	1	no	—
1225	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1226	#107	C₂³×C₅₃	1	1	yes	characteristic
1227	#107	C₂³×C₅₃	1	1	yes	characteristic
1228	#107	C₂³×C₅₃	1	1	yes	characteristic
1229	#107	C₂³×C₅₃	1	1	yes	characteristic
1230	#107	C₂³×C₅₃	1	1	yes	characteristic
1231	#107	C₂³×C₅₃	1	1	yes	characteristic
1232	#107	C₂³×C₅₃	1	1	yes	characteristic
1233	#107	C₂³×C₅₃	1	1	yes	characteristic
1234	#107	C₂³×C₅₃	1	1	yes	characteristic
1235	#107	C₂³×C₅₃	1	1	yes	characteristic
1236	#107	C₂³×C₅₃	1	1	yes	characteristic
1237	#107	C₂³×C₅₃	1	1	yes	characteristic
1238	#107	C₂³×C₅₃	1	1	yes	characteristic
1239	#107	C₂³×C₅₃	1	1	yes	characteristic
1240	#106	C₂³×C₅₃	1	1	yes	characteristic
1241	#106	C₂³×C₅₃	1	1	yes	characteristic
1242	#106	C₂³×C₅₃	1	1	yes	characteristic
1243	#106	C₂³×C₅₃	1	1	yes	characteristic
1244	#106	C₂³×C₅₃	1	1	yes	characteristic
1245	#106	C₂³×C₅₃	1	1	yes	characteristic
1246	#106	C₂³×C₅₃	1	1	yes	characteristic
1247	#106	C₂³×C₅₃	1	1	yes	characteristic
1248	#106	C₂³×C₅₃	1	1	yes	characteristic
1249	#106	C₂³×C₅₃	1	1	yes	characteristic
1250	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1251	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1252	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1253	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1254	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1255	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1256	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1257	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1258	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1259	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1260	#103	C₂³×C₅₃	1	1	yes	characteristic
1261	#103	C₂³×C₅₃	1	1	yes	characteristic
1262	#103	C₂³×C₅₃	1	1	yes	characteristic
1263	#103	C₂³×C₅₃	1	1	yes	characteristic
1264	#103	C₂³×C₅₃	1	1	yes	characteristic
1265	#103	C₂³×C₅₃	1	1	yes	characteristic
1266	#103	C₂³×C₅₃	1	1	yes	characteristic
1267	#103	C₂³×C₅₃	1	1	yes	characteristic
1268	#103	C₂³×C₅₃	1	1	yes	characteristic
1269	#103	C₂³×C₅₃	1	1	yes	characteristic
1270	#103	C₂³×C₅₃	1	1	yes	characteristic
1271	#103	C₂³×C₅₃	1	1	yes	characteristic
1272	#103	C₂³×C₅₃	1	1	yes	characteristic
1273	#103	C₂³×C₅₃	1	1	yes	characteristic
1274	#102	C₂³×C₅₃	1	1	yes	characteristic
1275	#102	C₂³×C₅₃	1	1	yes	characteristic
1276	#102	C₂³×C₅₃	1	1	yes	characteristic
1277	#102	C₂³×C₅₃	1	1	yes	characteristic
1278	#102	C₂³×C₅₃	1	1	yes	characteristic
1279	#102	C₂³×C₅₃	1	1	yes	characteristic
1280	#102	C₂³×C₅₃	1	1	yes	characteristic
1281	#102	C₂³×C₅₃	1	1	yes	characteristic
1282	#102	C₂³×C₅₃	1	1	yes	characteristic
1283	#102	C₂³×C₅₃	1	1	yes	characteristic
1284	#102	C₂³×C₅₃	1	1	yes	characteristic
1285	#102	C₂³×C₅₃	1	1	yes	characteristic
1286	#102	C₂³×C₅₃	1	1	yes	characteristic
1287	#102	C₂³×C₅₃	1	1	yes	characteristic
1288	#102	C₂³×C₅₃	1	1	yes	characteristic
1289	#102	C₂³×C₅₃	1	1	yes	characteristic
1290	#102	C₂³×C₅₃	1	1	yes	characteristic
1291	#102	C₂³×C₅₃	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1294	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1295	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1296	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1297	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1298	#97	C₂³×C₅₃	1	1	yes	characteristic
1299	#97	C₂³×C₅₃	1	1	yes	characteristic
1300	#97	C₂³×C₅₃	1	1	yes	characteristic
1301	#97	C₂³×C₅₃	1	1	yes	characteristic
1302	C₄×C₈	C₂³×C₅₃	1	1	yes	characteristic
1303	C₄×C₈	C₂³×C₅₃	1	1	yes	characteristic
1304	C₂⁴	—	2	1	no	—
1305	C₂⁴	—	2	1	no	—
1306	#41	—	2	2	no	—
1307	#41	—	4	1	no	—
1308	#41	—	8	2	no	—
1309	C₂×Q₈	—	2	1	no	—
1310	C₂×Q₈	—	2	1	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	—	2	1	no	—
1313	C₂×Q₈	—	2	1	no	—
1314	C₂×Q₈	—	2	1	no	—
1315	C₂×Q₈	C₂×D₄×C₅₃	1	1	yes	characteristic
1316	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1317	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1318	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1319	C₂×D₄	—	2	2	no	—
1320	C₂×D₄	—	2	2	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	4	1	no	—
1331	C₂×D₄	—	4	1	no	—
1332	C₂×D₄	—	8	2	no	—
1333	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1334	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1335	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1336	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1337	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1338	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	8	2	no	—
1353	C₂²×C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1354	C₂²×C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1358	Q₁₆	—	4	1	no	—
1359	Q₁₆	—	4	1	no	—
1360	SD₁₆	—	2	2	no	—
1361	SD₁₆	—	2	2	no	—
1362	SD₁₆	—	4	1	no	—
1363	SD₁₆	—	4	1	no	—
1364	SD₁₆	—	4	1	no	—
1365	SD₁₆	—	4	1	no	—
1366	M₁₆	—	4	1	no	—
1367	M₁₆	—	4	1	no	—
1368	M₁₆	—	4	1	no	—
1369	M₁₆	—	4	1	no	—
1370	C₂×C₈	—	4	1	no	—
1371	C₂×C₈	—	4	1	no	—
1372	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1373	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1374	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1375	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1376	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1377	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1379	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1421	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1422	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1430	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1432	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1433	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1434	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1435	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1438	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1439	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	C₂×D₄×C₅₃	1	1	yes	characteristic
1493	C₄²	C₂×D₄×C₅₃	1	1	yes	characteristic
1494	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1495	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1496	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1497	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	4	2	no	—
1502	C₂³	—	4	2	no	—
1503	C₂³	—	4	2	no	—
1504	C₂³	—	8	1	no	—
1505	C₂³	—	8	1	no	—
1506	C₂³	—	8	1	no	—
1507	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1508	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1509	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1510	Q₈	—	2	1	no	—
1511	Q₈	—	2	1	no	—
1512	Q₈	—	2	1	no	—
1513	Q₈	—	2	1	no	—
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	4	1	no	—
1517	Q₈	—	4	2	no	—
1518	Q₈	—	8	1	no	—
1519	Q₈	—	8	1	no	—
1520	Q₈	—	8	1	no	—
1521	Q₈	—	8	1	no	—
1522	Q₈	—	8	1	no	—
1523	D₄	—	2	1	no	—
1524	D₄	—	2	1	no	—
1525	D₄	—	2	1	no	—
1526	D₄	—	2	1	no	—
1527	D₄	—	2	1	no	—
1528	D₄	—	4	1	no	—
1529	D₄	—	4	1	no	—
1530	D₄	—	4	1	no	—
1531	D₄	—	4	2	no	—
1532	D₄	—	4	2	no	—
1533	D₄	—	4	2	no	—
1534	D₄	—	4	2	no	—
1535	D₄	—	8	1	no	—
1536	D₄	—	8	1	no	—
1537	D₄	—	8	1	no	—
1538	D₄	—	8	1	no	—
1539	D₄	—	8	1	no	—
1540	D₄	2₋¹⁺⁴×C₅₃	1	2	yes	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	4	1	no	—
1561	C₂×C₄	—	4	1	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	4	2	no	—
1564	C₂×C₄	—	8	1	no	—
1565	C₂×C₄	—	8	1	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	—	8	1	no	—
1574	C₂×C₄	—	8	1	no	—
1575	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1576	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1577	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1578	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1579	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1580	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1581	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1582	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1583	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1584	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1585	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1586	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₈	—	2	1	no	—
1594	C₈	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	2	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	2	1	no	—
1602	C₂²	—	2	1	no	—
1603	C₂²	—	2	1	no	—
1604	C₂²	—	2	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	8	4	no	—
1614	C₂²	—	16	2	no	—
1615	C₂²	C₂³×D₄×C₅₃	1	1	yes	characteristic
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	2	1	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	1	no	—
1624	C₄	—	2	1	no	—
1625	C₄	—	2	1	no	—
1626	C₄	—	2	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	C₂×2₋¹⁺⁴×C₅₃	1	1	yes	characteristic
1641	C₄	C₅₃×#585	1	1	yes	characteristic
1642	C₂	—	4	1	no	—
1643	C₂	—	4	1	no	—
1644	C₂	—	4	1	no	—
1645	C₂	—	4	2	no	—
1646	C₂	—	8	1	no	—
1647	C₂	—	8	1	no	—
1648	C₂	C₅₃×#3489	1	1	yes	characteristic
1649	C₂	C₅₃×#3585	1	1	yes	characteristic
1650	C₂	C₅₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅₃
prime radical	C₅₃×#3513	C₂
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×#3555	C₂	semidirect
3. C₅₃×#3388	C₂	semidirect
4. C₅₃×#3385	C₂	semidirect
5. C₅₃×#3375	C₂	semidirect
6. C₅₃×#3371	C₂	semidirect
7. C₅₃×#3353	C₂	semidirect
8. C₅₃×#3352	C₂	semidirect
9. C₅₃×#3350	C₂	semidirect
10. C₅₃×#3349	C₂	semidirect
11. C₅₃×#3346	C₂	semidirect
12. C₅₃×#3343	C₂	semidirect
13. C₅₃×#3324	C₂	semidirect
14. C₅₃×#3323	C₂	semidirect
15. C₅₃×#3314	C₂	semidirect
16. C₅₃×#3311	C₂	semidirect
17. C₅₃×#3311	C₂	semidirect
18. C₅₃×#3310	C₂	semidirect
19. C₅₃×#3260	C₂	semidirect
20. C₅₃×#3258	C₂	semidirect
21. C₅₃×#3252	C₂	semidirect
22. C₅₃×#3243	C₂	semidirect
23. C₅₃×#3241	C₂	semidirect
24. C₅₃×#3240	C₂	semidirect
25. C₅₃×#3123	C₂	semidirect
26. C₅₃×#3120	C₂	semidirect
27. C₅₃×#3110	C₂	semidirect
28. C₅₃×#3083	C₂	semidirect
29. C₅₃×#3081	C₂	semidirect
30. C₅₃×#3077	C₂	semidirect
31. C₅₃×#2995	C₂	semidirect
35. Q₈²×C₅₃	C₂²	semidirect
37. C₅₃×#557	C₂²	semidirect
40. C₅₃×#556	C₂²	semidirect
41. C₅₃×#556	C₂²	semidirect
43. C₅₃×#554	C₂²	semidirect
48. C₅₃×#552	C₂²	semidirect
56. C₅₃×#544	C₂²	semidirect
57. C₅₃×#544	C₂²	semidirect
63. C₅₃×#541	C₂²	semidirect
64. C₅₃×#541	C₂²	semidirect
68. C₅₃×#533	C₂²	semidirect
69. C₅₃×#533	C₂²	semidirect
77. C₅₃×#501	C₂²	semidirect
78. C₅₃×#501	C₂²	semidirect
79. C₅₃×#501	C₂²	semidirect
80. C₅₃×#501	C₂²	semidirect
81. C₅₃×#500	C₂²	semidirect
82. C₅₃×#499	C₂²	semidirect
84. C₅₃×#489	C₂²	semidirect
85. C₅₃×#489	C₂²	semidirect
86. C₅₃×#489	C₂²	semidirect
87. C₅₃×#488	C₂²	semidirect
89. C₅₃×#485	C₂²	semidirect
90. C₅₃×#485	C₂²	semidirect
91. C₅₃×#485	C₂²	semidirect
92. C₅₃×#485	C₂²	semidirect
93. C₅₃×#485	C₂²	semidirect
94. C₅₃×#484	C₂²	semidirect
95. C₅₃×#484	C₂²	semidirect
96. C₅₃×#484	C₂²	semidirect
97. C₅₃×#484	C₂²	semidirect
98. C₅₃×#483	C₂²	semidirect
102. C₅₃×#482	C₂²	semidirect
103. C₅₃×#482	C₂²	semidirect
104. C₅₃×#481	C₂²	semidirect
106. C₅₃×#480	C₂²	semidirect
107. C₅₃×#479	C₂²	semidirect
108. C₅₃×#479	C₂²	semidirect
109. C₅₃×#479	C₂²	semidirect
110. C₅₃×#479	C₂²	semidirect
111. C₅₃×#479	C₂²	semidirect
112. C₅₃×#479	C₂²	semidirect
113. C₅₃×#479	C₂²	semidirect
118. C₅₃×#478	C₂²	semidirect
119. C₅₃×#478	C₂²	semidirect
120. C₅₃×#478	C₂²	semidirect
121. C₅₃×#478	C₂²	semidirect
122. C₅₃×#478	C₂²	semidirect
123. C₅₃×#477	C₂²	semidirect
124. C₅₃×#477	C₂²	semidirect
125. C₅₃×#477	C₂²	semidirect
128. C₅₃×#476	C₂²	semidirect
129. C₅₃×#476	C₂²	semidirect
130. C₅₃×#475	C₂²	semidirect
134. C₅₃×#474	C₂²	semidirect
135. C₅₃×#474	C₂²	semidirect
136. C₅₃×#474	C₂²	semidirect
137. C₅₃×#470	C₂²	semidirect
138. C₅₃×#470	C₂²	semidirect
139. C₅₃×#470	C₂²	semidirect
143. C₅₃×#468	C₂²	semidirect
144. C₅₃×#468	C₂²	semidirect
145. C₅₃×#467	C₂²	semidirect
147. C₅₃×#465	C₂²	semidirect
148. C₅₃×#465	C₂²	semidirect
149. C₅₃×#464	C₂²	semidirect
150. C₅₃×#464	C₂²	semidirect
151. C₅₃×#464	C₂²	semidirect
152. C₅₃×#464	C₂²	semidirect
153. C₅₃×#462	C₂²	semidirect
155. C₅₃×#461	C₂²	semidirect
156. C₅₃×#461	C₂²	semidirect
165. C₅₃×#446	C₂²	semidirect
166. C₅₃×#446	C₂²	semidirect
167. C₅₃×#441	C₂²	semidirect
172. C₅₃×#440	C₂²	semidirect
173. C₅₃×#440	C₂²	semidirect
174. C₅₃×#440	C₂²	semidirect
175. C₄×Q₁₆×C₅₃	C₂²	semidirect
178. C₄×SD₁₆×C₅₃	C₂²	semidirect
180. C₅₃×#436	C₂²	semidirect
182. C₅₃×#435	C₂²	semidirect
183. C₅₃×#435	C₂²	semidirect
184. C₅₃×#435	C₂²	semidirect
185. C₅₃×#433	C₂²	semidirect
186. C₅₃×#433	C₂²	semidirect
187. C₅₃×#432	C₂²	semidirect
188. C₅₃×#428	C₂²	semidirect
189. C₅₃×#428	C₂²	semidirect
190. C₅₃×#428	C₂²	semidirect
191. C₅₃×#428	C₂²	semidirect
192. C₅₃×#427	C₂²	semidirect
193. C₂×#107×C₅₃	C₂²	semidirect
194. C₅₃×#424	C₂²	semidirect
195. C₅₃×#424	C₂²	semidirect
196. C₅₃×#423	C₂²	semidirect
769. #62232	C₅₃	direct (N × H)
817. #3555	C₂×C₅₃	semidirect
819. #3388	C₂×C₅₃	semidirect
820. #3385	C₂×C₅₃	semidirect
821. #3375	C₂×C₅₃	semidirect
822. #3371	C₂×C₅₃	semidirect
823. #3353	C₂×C₅₃	semidirect
824. #3352	C₂×C₅₃	semidirect
825. #3350	C₂×C₅₃	semidirect
826. #3349	C₂×C₅₃	semidirect
827. #3346	C₂×C₅₃	semidirect
828. #3343	C₂×C₅₃	semidirect
829. #3324	C₂×C₅₃	semidirect
830. #3323	C₂×C₅₃	semidirect
831. #3314	C₂×C₅₃	semidirect
832. #3311	C₂×C₅₃	semidirect
833. #3311	C₂×C₅₃	semidirect
834. #3310	C₂×C₅₃	semidirect
835. #3260	C₂×C₅₃	semidirect
836. #3258	C₂×C₅₃	semidirect
837. #3252	C₂×C₅₃	semidirect
838. #3243	C₂×C₅₃	semidirect
839. #3241	C₂×C₅₃	semidirect
840. #3240	C₂×C₅₃	semidirect
841. #3123	C₂×C₅₃	semidirect
842. #3120	C₂×C₅₃	semidirect
843. #3110	C₂×C₅₃	semidirect
844. #3083	C₂×C₅₃	semidirect
845. #3081	C₂×C₅₃	semidirect
846. #3077	C₂×C₅₃	semidirect
847. #2995	C₂×C₅₃	semidirect
860. Q₈²	C₂²×C₅₃	semidirect
862. #557	C₂²×C₅₃	semidirect
865. #556	C₂²×C₅₃	semidirect
866. #556	C₂²×C₅₃	semidirect
868. #554	C₂²×C₅₃	semidirect
873. #552	C₂²×C₅₃	semidirect
881. #544	C₂²×C₅₃	semidirect
882. #544	C₂²×C₅₃	semidirect
888. #541	C₂²×C₅₃	semidirect
889. #541	C₂²×C₅₃	semidirect
893. #533	C₂²×C₅₃	semidirect
894. #533	C₂²×C₅₃	semidirect
902. #501	C₂²×C₅₃	semidirect
903. #501	C₂²×C₅₃	semidirect
904. #501	C₂²×C₅₃	semidirect
905. #501	C₂²×C₅₃	semidirect
906. #500	C₂²×C₅₃	semidirect
907. #499	C₂²×C₅₃	semidirect
909. #489	C₂²×C₅₃	semidirect
910. #489	C₂²×C₅₃	semidirect
911. #489	C₂²×C₅₃	semidirect
912. #488	C₂²×C₅₃	semidirect
914. #485	C₂²×C₅₃	semidirect
915. #485	C₂²×C₅₃	semidirect
916. #485	C₂²×C₅₃	semidirect
917. #485	C₂²×C₅₃	semidirect
918. #485	C₂²×C₅₃	semidirect
919. #484	C₂²×C₅₃	semidirect
920. #484	C₂²×C₅₃	semidirect
921. #484	C₂²×C₅₃	semidirect
922. #484	C₂²×C₅₃	semidirect
923. #483	C₂²×C₅₃	semidirect
927. #482	C₂²×C₅₃	semidirect
928. #482	C₂²×C₅₃	semidirect
929. #481	C₂²×C₅₃	semidirect
931. #480	C₂²×C₅₃	semidirect
932. #479	C₂²×C₅₃	semidirect
933. #479	C₂²×C₅₃	semidirect
934. #479	C₂²×C₅₃	semidirect
935. #479	C₂²×C₅₃	semidirect
936. #479	C₂²×C₅₃	semidirect
937. #479	C₂²×C₅₃	semidirect
938. #479	C₂²×C₅₃	semidirect
943. #478	C₂²×C₅₃	semidirect
944. #478	C₂²×C₅₃	semidirect
945. #478	C₂²×C₅₃	semidirect
946. #478	C₂²×C₅₃	semidirect
947. #478	C₂²×C₅₃	semidirect
948. #477	C₂²×C₅₃	semidirect
949. #477	C₂²×C₅₃	semidirect
950. #477	C₂²×C₅₃	semidirect
953. #476	C₂²×C₅₃	semidirect
954. #476	C₂²×C₅₃	semidirect
955. #475	C₂²×C₅₃	semidirect
959. #474	C₂²×C₅₃	semidirect
960. #474	C₂²×C₅₃	semidirect
961. #474	C₂²×C₅₃	semidirect
962. #470	C₂²×C₅₃	semidirect
963. #470	C₂²×C₅₃	semidirect
964. #470	C₂²×C₅₃	semidirect
968. #468	C₂²×C₅₃	semidirect
969. #468	C₂²×C₅₃	semidirect
970. #467	C₂²×C₅₃	semidirect
972. #465	C₂²×C₅₃	semidirect
973. #465	C₂²×C₅₃	semidirect
974. #464	C₂²×C₅₃	semidirect
975. #464	C₂²×C₅₃	semidirect
976. #464	C₂²×C₅₃	semidirect
977. #464	C₂²×C₅₃	semidirect
978. #462	C₂²×C₅₃	semidirect
980. #461	C₂²×C₅₃	semidirect
981. #461	C₂²×C₅₃	semidirect
990. #446	C₂²×C₅₃	semidirect
991. #446	C₂²×C₅₃	semidirect
992. #441	C₂²×C₅₃	semidirect
997. #440	C₂²×C₅₃	semidirect
998. #440	C₂²×C₅₃	semidirect
999. #440	C₂²×C₅₃	semidirect
1000. C₄×Q₁₆	C₂²×C₅₃	semidirect
1003. C₄×SD₁₆	C₂²×C₅₃	semidirect
1005. #436	C₂²×C₅₃	semidirect
1007. #435	C₂²×C₅₃	semidirect
1008. #435	C₂²×C₅₃	semidirect
1009. #435	C₂²×C₅₃	semidirect
1010. #433	C₂²×C₅₃	semidirect
1011. #433	C₂²×C₅₃	semidirect
1012. #432	C₂²×C₅₃	semidirect
1013. #428	C₂²×C₅₃	semidirect
1014. #428	C₂²×C₅₃	semidirect
1015. #428	C₂²×C₅₃	semidirect
1016. #428	C₂²×C₅₃	semidirect
1017. #427	C₂²×C₅₃	semidirect
1018. C₂×#107	C₂²×C₅₃	semidirect
1019. #424	C₂²×C₅₃	semidirect
1020. #424	C₂²×C₅₃	semidirect
1021. #423	C₂²×C₅₃	semidirect
1028. C₅₃	#62232	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×#3555	2
C₅₃×#3513	2
C₅₃×#3388	2
C₅₃×#3385	2
C₅₃×#3375	2
C₅₃×#3371	2
C₅₃×#3353	2
C₅₃×#3352	2
C₅₃×#3350	2
C₅₃×#3349	2
C₅₃×#3346	2
C₅₃×#3343	2
C₅₃×#3324	2
C₅₃×#3323	2
C₅₃×#3314	2
C₅₃×#3311	2
C₅₃×#3310	2
C₅₃×#3260	2
C₅₃×#3258	2
C₅₃×#3252	2
C₅₃×#3243	2
C₅₃×#3241	2
C₅₃×#3240	2
C₅₃×#3123	2
C₅₃×#3120	2
C₅₃×#3110	2
C₅₃×#3083	2
C₅₃×#3081	2
C₅₃×#3077	2
C₅₃×#2995	2
#62232	53

Subgroups — C53×#62232 #27269744

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#62232 #27269744