Subgroups — #28292709

Order 13568.

9494 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288871	C₂	1	8	yes	maximal, complemented
2	#20288866	C₂	1	8	yes	maximal, complemented
3	#20288864	C₂	1	8	yes	maximal, complemented
4	#20288405	C₂	1	2	yes	maximal, complemented
5	#20288404	C₂	1	1	yes	maximal, characteristic, complemented
6	#20288400	C₂	1	2	yes	maximal, complemented
7	#20288399	C₂	1	8	yes	maximal, complemented
8	#20288398	C₂	1	4	yes	maximal, complemented
9	#20288351	C₂	1	2	yes	maximal, complemented
10	#20288348	C₂	1	4	yes	maximal, complemented
11	#20288347	C₂	1	2	yes	maximal, complemented
12	#20288345	C₂	1	8	yes	maximal, complemented
13	#20288344	C₂	1	2	yes	maximal, complemented
14	C₂²×#13133187	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#120×D₅₃	C₂	1	2	yes	maximal, complemented
16	C₅₃×#3490	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂⁵×D₅₃	C₂²	1	1	yes	characteristic, complemented
18	C₂×#13133263	C₂²	1	4	yes	complemented
19	C₂×#13133262	C₂²	1	2	yes	complemented
20	C₂³×D₂₁₂	C₂²	1	2	yes	complemented
21	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
22	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
23	C₂²×D₄×D₅₃	C₂²	1	4	yes	complemented
24	#16811365	C₂²	1	8	yes	complemented
25	#16811364	C₂²	1	8	yes	complemented
26	#16811363	C₂²	1	8	yes	complemented
27	#16811361	C₂²	1	8	yes	complemented
28	#16811302	C₂²	1	8	yes	complemented
29	#16811300	C₂²	1	8	yes	complemented
30	#16811300	C₂²	1	8	yes	complemented
31	#16811299	C₂²	1	8	yes	complemented
32	#16811298	C₂²	1	8	yes	complemented
33	#16811297	C₂²	1	8	yes	complemented
34	#16811297	C₂²	1	8	yes	complemented
35	#16811296	C₂²	1	8	yes	complemented
36	#16811269	C₂²	1	8	yes	complemented
37	#16811269	C₂²	1	8	yes	complemented
38	#16811268	C₂²	1	8	yes	complemented
39	#16811268	C₂²	1	8	yes	complemented
40	#16811266	C₂²	1	8	yes	complemented
41	#16811265	C₂²	1	8	yes	complemented
42	#16811265	C₂²	1	8	yes	complemented
43	#16811265	C₂²	1	8	yes	complemented
44	#16811264	C₂²	1	8	yes	complemented
45	#16811264	C₂²	1	8	yes	complemented
46	#16811264	C₂²	1	8	yes	complemented
47	#16811263	C₂²	1	8	yes	complemented
48	#16811263	C₂²	1	8	yes	complemented
49	#16811263	C₂²	1	8	yes	complemented
50	#16811262	C₂²	1	8	yes	complemented
51	#16811261	C₂²	1	8	yes	complemented
52	#16811260	C₂²	1	8	yes	complemented
53	D₄×D₂₁₂	C₂²	1	8	yes	complemented
54	D₄×D₂₁₂	C₂²	1	8	yes	complemented
55	D₄×D₂₁₂	C₂²	1	8	yes	complemented
56	#16811257	C₂²	1	8	yes	complemented
57	#16811257	C₂²	1	8	yes	complemented
58	#16811257	C₂²	1	8	yes	complemented
59	D₄×C₂²⋊D₅₃	C₂²	1	8	yes	complemented
60	#16811255	C₂²	1	8	yes	complemented
61	#16811255	C₂²	1	8	yes	complemented
62	#16811249	C₂²	1	1	yes	characteristic, complemented
63	#16811248	C₂²	1	4	yes	complemented
64	#16811213	C₂²	1	8	yes	complemented
65	#16811213	C₂²	1	4	yes	complemented
66	#16811212	C₂²	1	8	yes	complemented
67	#16811212	C₂²	1	8	yes	complemented
68	#16811211	C₂²	1	4	yes	complemented
69	#16811210	C₂²	1	4	yes	complemented
70	#16811209	C₂²	1	8	yes	complemented
71	#16811207	C₂²	1	8	yes	complemented
72	#16811206	C₂²	1	8	yes	complemented
73	#16811206	C₂²	1	8	yes	complemented
74	#16811192	C₂²	1	4	yes	complemented
75	#16811192	C₂²	1	4	yes	complemented
76	#16811191	C₂²	1	8	yes	complemented
77	#16811189	C₂²	1	8	yes	complemented
78	#16811188	C₂²	1	4	yes	complemented
79	#16811188	C₂²	1	4	yes	complemented
80	#16811187	C₂²	1	4	yes	complemented
81	#16811185	C₂²	1	2	yes	complemented
82	#16811185	C₂²	1	1	yes	characteristic, complemented
83	#16811185	C₂²	1	4	yes	complemented
84	#16811184	C₂²	1	8	yes	complemented
85	#16811184	C₂²	1	8	yes	complemented
86	#16811184	C₂²	1	4	yes	complemented
87	#16811184	C₂²	1	8	yes	complemented
88	#16811183	C₂²	1	4	yes	complemented
89	#16811182	C₂²	1	2	yes	complemented
90	#16811181	C₂²	1	4	yes	complemented
91	#16811181	C₂²	1	8	yes	complemented
92	#16811136	C₂²	1	8	yes	complemented
93	#16811135	C₂²	1	4	yes	complemented
94	#16811134	C₂²	1	4	yes	complemented
95	#16811132	C₂²	1	8	yes	complemented
96	#16811131	C₂²	1	4	yes	complemented
97	#16811129	C₂²	1	4	yes	complemented
98	C₂×#13133187	C₂²	1	2	yes	complemented
99	C₂×#13133187	C₂²	1	2	yes	complemented
100	C₂×#13133187	C₂²	1	2	yes	complemented
101	C₂×#13133187	C₂²	1	8	yes	complemented
102	C₂×#13133187	C₂²	1	8	yes	complemented
103	C₂×#13133187	C₂²	1	4	yes	complemented
104	C₂×#13133187	C₂²	1	4	yes	complemented
105	C₂×#13133187	C₂²	1	4	yes	complemented
106	C₂×#13133186	C₂²	1	2	yes	complemented
107	C₂×#13133185	C₂²	1	2	yes	complemented
108	C₂×#13133185	C₂²	1	4	yes	complemented
109	#120×D₅₃	C₂²	1	8	yes	complemented
110	#120×D₅₃	C₂²	1	8	yes	complemented
111	#120×D₅₃	C₂²	1	8	yes	complemented
112	#120×D₅₃	C₂²	1	8	yes	complemented
113	#120×D₅₃	C₂²	1	4	yes	complemented
114	#120×D₅₃	C₂²	1	4	yes	complemented
115	#16811097	C₂²	1	4	yes	complemented
116	#16811096	C₂²	1	2	yes	complemented
117	#16811096	C₂²	1	2	yes	complemented
118	#16811095	C₂²	1	8	yes	complemented
119	C₂²×#11719921	C₂²	1	2	yes	complemented
120	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
121	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
122	C₅₃×#551	C₂²	1	8	yes	complemented
123	C₅₃×#546	C₂²	1	8	yes	complemented
124	C₅₃×#543	C₂²	1	1	yes	characteristic, complemented
125	C₅₃×#538	C₂²	1	4	yes	complemented
126	C₅₃×#534	C₂²	1	1	yes	characteristic, complemented
127	C₅₃×#525	C₂²	1	4	yes	complemented
128	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
129	C₅₃×#518	C₂²	1	2	yes	complemented
130	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
131	C₂⁴×D₅₃	—	4	8	no	—
132	C₂⁴×D₅₃	—	4	4	no	—
133	C₂⁴×D₅₃	C₂³	1	4	yes	—
134	C₂⁴×D₅₃	C₂³	1	2	yes	—
135	C₂⁴×D₅₃	C₂³	1	2	yes	—
136	C₂⁴×D₅₃	C₂³	1	2	yes	—
137	C₂⁴×D₅₃	C₂³	1	4	yes	—
138	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic, complemented
139	C₂⁴×D₅₃	C₂³	1	2	yes	complemented
140	#13133263	—	4	16	no	—
141	#13133262	—	4	8	no	—
142	C₂×#11719949	C₂³	1	8	yes	complemented
143	C₂×#11719945	C₂³	1	8	yes	complemented
144	C₂×#11719945	C₂³	1	4	yes	complemented
145	C₂×#11719945	C₂³	1	4	yes	complemented
146	C₂×#11719947	C₂³	1	4	yes	complemented
147	C₂×#11719947	C₂³	1	4	yes	complemented
148	C₂²×D₂₁₂	—	4	8	no	—
149	C₂²×D₂₁₂	C₂³	1	4	yes	—
150	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
151	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
152	C₂²×D₂₁₂	C₂³	1	8	yes	complemented
153	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
154	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
155	C₂²×D₂₁₂	C₂³	1	2	yes	complemented
156	C₂²×D₂₁₂	C₂³	1	8	yes	complemented
157	C₂²×C₂²⋊D₅₃	—	4	4	no	—
158	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
161	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
162	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
163	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
164	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
165	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
166	C₂×D₄×D₅₃	—	4	16	no	—
167	C₂×D₄×D₅₃	—	4	8	no	—
168	C₂×D₄×D₅₃	C₂³	1	8	yes	—
169	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
170	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
171	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
172	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
173	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
174	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
175	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
176	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
177	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
178	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
179	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
180	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
181	#13133214	C₂³	1	8	yes	complemented
182	#13133213	C₂³	1	8	yes	complemented
183	#13133213	C₂³	1	8	yes	complemented
184	#13133212	C₂³	1	8	yes	complemented
185	#13133212	C₂³	1	8	yes	complemented
186	#13133212	C₂³	1	8	yes	complemented
187	#13133211	C₂³	1	8	yes	complemented
188	#13133210	C₂³	1	8	yes	complemented
189	#13133206	C₂³	1	8	yes	complemented
190	#13133206	C₂³	1	8	yes	complemented
191	#13133205	C₂³	1	8	yes	complemented
192	#13133205	C₂³	1	8	yes	complemented
193	#13133203	C₂³	1	8	yes	complemented
194	#13133203	C₂³	1	8	yes	complemented
195	#13133203	C₂³	1	8	yes	complemented
196	#13133203	C₂³	1	8	yes	complemented
197	#13133202	C₂³	1	8	yes	complemented
198	#13133202	C₂³	1	8	yes	complemented
199	#13133202	C₂³	1	8	yes	complemented
200	#13133202	C₂³	1	8	yes	complemented
201	#13133202	C₂³	1	8	yes	complemented
202	#13133202	C₂³	1	8	yes	complemented
203	#13133202	C₂³	1	8	yes	complemented
204	#13133201	C₂³	1	4	yes	complemented
205	#13133201	C₂³	1	4	yes	complemented
206	#13133201	C₂³	1	4	yes	complemented
207	#13133201	C₂³	1	8	yes	complemented
208	#13133200	C₂³	1	4	yes	complemented
209	#13133200	C₂³	1	8	yes	complemented
210	#13133200	C₂³	1	8	yes	complemented
211	#13133199	C₂³	1	8	yes	complemented
212	#13133199	C₂³	1	8	yes	complemented
213	#13133199	C₂³	1	8	yes	complemented
214	#13133198	C₂³	1	4	yes	complemented
215	#13133197	C₂³	1	8	yes	complemented
216	#13133196	C₂³	1	4	yes	complemented
217	#13133196	C₂³	1	4	yes	complemented
218	#13133195	C₂³	1	8	yes	complemented
219	#13133195	C₂³	1	8	yes	complemented
220	#13133194	C₂³	1	8	yes	complemented
221	#13133194	C₂³	1	8	yes	complemented
222	#13133193	C₂³	1	8	yes	complemented
223	#13133192	C₂³	1	8	yes	complemented
224	#13133192	C₂³	1	8	yes	complemented
225	#13133192	C₂³	1	8	yes	complemented
226	#13133192	C₂³	1	8	yes	complemented
227	#13133192	C₂³	1	8	yes	complemented
228	#13133192	C₂³	1	8	yes	complemented
229	#13133192	C₂³	1	8	yes	complemented
230	#13133191	C₂³	1	8	yes	complemented
231	#13133191	C₂³	1	8	yes	complemented
232	#13133191	C₂³	1	8	yes	complemented
233	#13133191	C₂³	1	4	yes	complemented
234	#13133191	C₂³	1	8	yes	complemented
235	#13133191	C₂³	1	4	yes	complemented
236	#13133190	C₂³	1	8	yes	complemented
237	#13133190	C₂³	1	8	yes	complemented
238	#13133190	C₂³	1	8	yes	complemented
239	#13133190	C₂³	1	8	yes	complemented
240	#13133190	C₂³	1	8	yes	complemented
241	#13133190	C₂³	1	8	yes	complemented
242	#13133190	C₂³	1	8	yes	complemented
243	#13133190	C₂³	1	8	yes	complemented
244	#13133189	C₂³	1	8	yes	complemented
245	#13133189	C₂³	1	8	yes	complemented
246	#13133189	C₂³	1	8	yes	complemented
247	#13133189	C₂³	1	8	yes	complemented
248	#13133188	C₂³	1	8	yes	complemented
249	#13133187	C₂³	1	8	yes	—
250	#13133187	C₂³	1	8	yes	—
251	#13133187	C₂³	1	8	yes	—
252	#13133187	C₂³	1	8	yes	—
253	#13133187	C₂³	1	8	yes	—
254	#13133187	C₂³	1	8	yes	complemented
255	#13133187	C₂³	1	8	yes	complemented
256	#13133187	C₂³	1	4	yes	complemented
257	#13133187	C₂³	1	8	yes	complemented
258	#13133187	C₂³	1	8	yes	complemented
259	#13133187	C₂³	1	4	yes	complemented
260	#13133187	C₂³	1	4	yes	complemented
261	#13133187	C₂³	1	4	yes	complemented
262	#13133187	C₂³	1	8	yes	complemented
263	#13133187	C₂³	1	4	yes	complemented
264	#13133187	C₂³	1	8	yes	complemented
265	#13133187	C₂³	1	4	yes	complemented
266	#13133187	C₂³	1	8	yes	complemented
267	#13133187	C₂³	1	8	yes	complemented
268	#13133187	C₂³	1	8	yes	complemented
269	#13133187	C₂³	1	8	yes	complemented
270	#13133187	C₂³	1	8	yes	complemented
271	#13133187	C₂³	1	4	yes	complemented
272	#13133187	C₂³	1	4	yes	complemented
273	#13133187	C₂³	1	8	yes	complemented
274	#13133187	C₂³	1	4	yes	complemented
275	#13133186	C₂³	1	8	yes	—
276	#13133186	C₂³	1	4	yes	complemented
277	#13133186	C₂³	1	4	yes	complemented
278	#13133186	C₂³	1	4	yes	complemented
279	#13133185	C₂³	1	8	yes	—
280	#13133185	C₂³	1	8	yes	—
281	#13133185	C₂³	1	8	yes	complemented
282	#13133185	C₂³	1	4	yes	complemented
283	#13133185	C₂³	1	8	yes	complemented
284	#13133185	C₂³	1	8	yes	complemented
285	#13133185	C₂³	1	4	yes	complemented
286	#13133185	C₂³	1	8	yes	complemented
287	#13133185	C₂³	1	8	yes	complemented
288	#13133185	C₂³	1	4	yes	complemented
289	#13133185	C₂³	1	8	yes	complemented
290	C₄×D₂₁₂	C₂³	1	8	yes	complemented
291	C₄×D₂₁₂	C₂³	1	8	yes	complemented
292	C₄×D₂₁₂	C₂³	1	8	yes	complemented
293	D₄×Dic₅₃	C₂³	1	8	yes	complemented
294	#13133179	C₂³	1	8	yes	complemented
295	#13133179	C₂³	1	8	yes	complemented
296	#13133179	C₂³	1	8	yes	complemented
297	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
298	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
299	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
300	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
301	#13133177	C₂³	1	8	yes	complemented
302	#13133177	C₂³	1	8	yes	complemented
303	#13133177	C₂³	1	8	yes	complemented
304	#13133177	C₂³	1	8	yes	complemented
305	#13133176	C₂³	1	4	yes	complemented
306	#13133175	C₂³	1	8	yes	complemented
307	#13133174	C₂³	1	8	yes	complemented
308	#13133173	C₂³	1	4	yes	complemented
309	#13133173	C₂³	1	4	yes	complemented
310	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
311	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
312	C₂×#11719921	C₂³	1	4	yes	—
313	C₂×#11719921	C₂³	1	4	yes	complemented
314	C₂×#11719921	C₂³	1	8	yes	complemented
315	C₂×#11719921	C₂³	1	4	yes	complemented
316	C₂×#11719921	C₂³	1	4	yes	complemented
317	C₂×#11719921	C₂³	1	4	yes	complemented
318	C₂×#11719921	C₂³	1	4	yes	complemented
319	C₂×#11719921	C₂³	1	4	yes	complemented
320	C₂×#11719921	C₂³	1	8	yes	complemented
321	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
322	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
323	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
324	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
325	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
326	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
327	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
328	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
329	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
330	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
331	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
332	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
333	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
334	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
335	C₂³×C₄×C₅₃	C₂³	1	2	yes	complemented
336	#126×C₅₃	C₂³	1	8	yes	complemented
337	#124×C₅₃	C₂³	1	8	yes	complemented
338	#123×C₅₃	C₂³	1	4	yes	complemented
339	#123×C₅₃	C₂³	1	8	yes	complemented
340	#123×C₅₃	C₂³	1	8	yes	complemented
341	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
342	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
343	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
344	#121×C₅₃	C₂³	1	4	yes	complemented
345	#121×C₅₃	C₂³	1	4	yes	complemented
346	#121×C₅₃	C₂³	1	8	yes	complemented
347	#120×C₅₃	C₂³	1	8	yes	—
348	#120×C₅₃	C₂³	1	4	yes	complemented
349	#120×C₅₃	C₂³	1	4	yes	complemented
350	#120×C₅₃	C₂³	1	4	yes	complemented
351	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
352	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
353	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
354	#117×C₅₃	C₂³	1	4	yes	complemented
355	#117×C₅₃	C₂³	1	4	yes	complemented
356	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
359	C₂×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	complemented
360	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
361	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
362	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
363	C₂⁴×C₅₃	—	2	4	no	—
364	C₂⁴×C₅₃	—	4	4	no	—
365	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
367	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
369	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
370	C₂³×D₅₃	—	2	8	no	—
371	C₂³×D₅₃	—	2	16	no	—
372	C₂³×D₅₃	—	2	8	no	—
373	C₂³×D₅₃	—	4	8	no	—
374	C₂³×D₅₃	—	4	8	no	—
375	C₂³×D₅₃	—	4	8	no	—
376	C₂³×D₅₃	—	4	8	no	—
377	C₂³×D₅₃	—	4	8	no	—
378	C₂³×D₅₃	—	4	8	no	—
379	C₂³×D₅₃	—	4	8	no	—
380	C₂³×D₅₃	—	4	8	no	—
381	C₂³×D₅₃	—	4	4	no	—
382	C₂³×D₅₃	—	4	4	no	—
383	C₂³×D₅₃	—	4	4	no	—
384	C₂³×D₅₃	—	4	4	no	—
385	C₂³×D₅₃	—	4	2	no	—
386	C₂³×D₅₃	—	4	4	no	—
387	C₂³×D₅₃	—	4	64	no	—
388	C₂³×D₅₃	C₂⁴	1	2	yes	—
389	C₂³×D₅₃	C₂⁴	1	2	yes	—
390	C₂³×D₅₃	C₂⁴	1	4	yes	—
391	C₂³×D₅₃	C₂⁴	1	4	yes	—
392	C₂³×D₅₃	C₂⁴	1	4	yes	—
393	C₂³×D₅₃	C₂⁴	1	4	yes	—
394	C₂³×D₅₃	C₂⁴	1	2	yes	—
395	C₂³×D₅₃	C₂⁴	1	4	yes	—
396	C₂³×D₅₃	C₂⁴	1	2	yes	—
397	C₂³×D₅₃	C₂⁴	1	8	yes	—
398	C₂³×D₅₃	C₂⁴	1	2	yes	—
399	C₂³×D₅₃	C₂⁴	1	2	yes	—
400	C₂³×D₅₃	C₂⁴	1	2	yes	—
401	C₂³×D₅₃	C₂⁴	1	2	yes	—
402	C₂³×D₅₃	C₂⁴	1	4	yes	complemented
403	#41×C₅₃	—	4	8	no	—
404	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	complemented
405	C₂×D₄×C₅₃	—	2	8	no	—
406	C₂×D₄×C₅₃	—	4	8	no	—
407	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
408	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
409	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
410	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
411	C₂×D₄×C₅₃	C₂⁴	1	4	yes	complemented
412	C₂²×C₄×C₅₃	—	4	4	no	—
413	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
414	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
415	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
417	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
418	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
419	C₂²×C₄×C₅₃	C₂⁴	1	8	yes	complemented
420	C₂×C₂²⋊D₅₃	—	2	8	no	—
421	C₂×C₂²⋊D₅₃	—	2	8	no	—
422	C₂×C₂²⋊D₅₃	—	4	4	no	—
423	C₂×C₂²⋊D₅₃	—	4	4	no	—
424	C₂×C₂²⋊D₅₃	—	4	8	no	—
425	C₂×C₂²⋊D₅₃	—	4	8	no	—
426	C₂×C₂²⋊D₅₃	—	4	16	no	—
427	C₂×C₂²⋊D₅₃	—	4	8	no	—
428	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
429	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
430	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
431	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
432	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
433	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
434	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
435	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
436	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
437	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
438	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	complemented
439	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	complemented
440	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	complemented
441	C₂²×Dic₅₃	—	4	2	no	—
442	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
443	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
444	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
445	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
446	C₂²×Dic₅₃	C₂⁴	1	4	yes	complemented
447	#11719949	—	4	16	no	—
448	#11719947	—	4	8	no	—
449	#11719947	—	4	8	no	—
450	D₄×D₅₃	—	2	32	no	—
451	D₄×D₅₃	—	4	16	no	—
452	D₄×D₅₃	—	4	16	no	—
453	D₄×D₅₃	—	4	16	no	—
454	D₄×D₅₃	—	4	16	no	—
455	D₄×D₅₃	—	4	16	no	—
456	D₄×D₅₃	—	4	16	no	—
457	D₄×D₅₃	—	4	8	no	—
458	D₄×D₅₃	—	4	8	no	—
459	D₄×D₅₃	—	4	16	no	—
460	#11719945	—	4	16	no	—
461	#11719945	—	4	8	no	—
462	#11719945	—	4	8	no	—
463	C₂×D₂₁₂	—	2	16	no	—
464	C₂×D₂₁₂	—	4	8	no	—
465	C₂×D₂₁₂	—	4	8	no	—
466	C₂×D₂₁₂	—	4	16	no	—
467	C₂×D₂₁₂	—	4	8	no	—
468	C₂×D₂₁₂	—	4	16	no	—
469	C₂×D₂₁₂	—	4	4	no	—
470	C₂×D₂₁₂	—	4	8	no	—
471	C₂×D₂₁₂	C₂⁴	1	8	yes	—
472	C₂×D₂₁₂	C₂⁴	1	8	yes	—
473	C₂×D₂₁₂	C₂⁴	1	8	yes	—
474	C₂×D₂₁₂	C₂⁴	1	8	yes	—
475	C₂×D₂₁₂	C₂⁴	1	8	yes	—
476	C₂×D₂₁₂	C₂⁴	1	8	yes	—
477	C₂×D₂₁₂	C₂⁴	1	8	yes	—
478	C₂×D₂₁₂	C₂⁴	1	4	yes	complemented
479	C₂×D₂₁₂	C₂⁴	1	4	yes	complemented
480	C₂×D₂₁₂	C₂⁴	1	8	yes	complemented
481	C₂×C₄×D₅₃	—	4	8	no	—
482	C₂×C₄×D₅₃	—	4	4	no	—
483	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
484	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
485	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
486	C₂×C₄×D₅₃	C₂⁴	1	4	yes	complemented
487	C₂×C₄×D₅₃	C₂⁴	1	8	yes	complemented
488	C₂×C₄×D₅₃	C₂⁴	1	8	yes	complemented
489	C₂×C₄×D₅₃	C₂⁴	1	4	yes	complemented
490	C₂×Dic₁₀₆	C₂⁴	1	4	yes	complemented
491	C₂×Dic₁₀₆	C₂⁴	1	4	yes	complemented
492	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	complemented
493	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
494	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
495	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	complemented
496	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
497	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
498	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
499	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
500	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
501	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
502	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	complemented
504	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	complemented
505	C₄²×C₅₃	C₂⁴	1	8	yes	complemented
506	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
507	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
508	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
509	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
510	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	complemented
511	#11719921	C₂⁴	1	8	yes	—
512	#11719921	C₂⁴	1	8	yes	—
513	#11719921	C₂⁴	1	8	yes	—
514	#11719921	C₂⁴	1	8	yes	—
515	#11719921	C₂⁴	1	8	yes	—
516	#11719921	C₂⁴	1	8	yes	—
517	#11719921	C₂⁴	1	8	yes	—
518	#11719921	C₂⁴	1	8	yes	—
519	#11719921	C₂⁴	1	8	yes	—
520	#11719921	C₂⁴	1	8	yes	—
521	#11719921	C₂⁴	1	8	yes	complemented
522	#11719921	C₂⁴	1	8	yes	complemented
523	#11719921	C₂⁴	1	8	yes	complemented
524	#11719921	C₂⁴	1	8	yes	complemented
525	#11719921	C₂⁴	1	8	yes	complemented
526	#11719921	C₂⁴	1	8	yes	complemented
527	C₄⋊Dic₅₃	C₂⁴	1	8	yes	complemented
528	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
529	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
530	#11719919	C₂⁴	1	8	yes	complemented
531	#11719919	C₂⁴	1	8	yes	complemented
532	#11719919	C₂⁴	1	8	yes	complemented
533	#11719919	C₂⁴	1	8	yes	complemented
534	C₄×Dic₅₃	C₂⁴	1	8	yes	complemented
535	C₄×Dic₅₃	C₂⁴	1	8	yes	complemented
536	C₂³×C₅₃	—	2	2	no	—
537	C₂³×C₅₃	—	2	4	no	—
538	C₂³×C₅₃	—	2	8	no	—
539	C₂³×C₅₃	—	2	2	no	—
540	C₂³×C₅₃	—	2	8	no	—
541	C₂³×C₅₃	—	2	4	no	—
542	C₂³×C₅₃	—	4	2	no	—
543	C₂³×C₅₃	—	4	4	no	—
544	C₂³×C₅₃	—	4	2	no	—
545	C₂³×C₅₃	—	4	4	no	—
546	C₂³×C₅₃	—	4	16	no	—
547	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	complemented
548	C₂³×C₅₃	C₂⁵	1	4	yes	—
549	C₂³×C₅₃	C₂⁵	1	2	yes	—
550	C₂³×C₅₃	C₂⁵	1	2	yes	—
551	C₂³×C₅₃	C₂⁵	1	2	yes	—
552	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
553	C₂²×D₅₃	—	2	4	no	—
554	C₂²×D₅₃	—	2	8	no	—
555	C₂²×D₅₃	—	2	4	no	—
556	C₂²×D₅₃	—	2	4	no	—
557	C₂²×D₅₃	—	2	8	no	—
558	C₂²×D₅₃	—	2	8	no	—
559	C₂²×D₅₃	—	2	8	no	—
560	C₂²×D₅₃	—	2	8	no	—
561	C₂²×D₅₃	—	2	4	no	—
562	C₂²×D₅₃	—	2	4	no	—
563	C₂²×D₅₃	—	2	8	no	—
564	C₂²×D₅₃	—	2	8	no	—
565	C₂²×D₅₃	—	2	8	no	—
566	C₂²×D₅₃	—	2	8	no	—
567	C₂²×D₅₃	—	2	8	no	—
568	C₂²×D₅₃	—	2	16	no	—
569	C₂²×D₅₃	—	4	2	no	—
570	C₂²×D₅₃	—	4	2	no	—
571	C₂²×D₅₃	—	4	2	no	—
572	C₂²×D₅₃	—	4	4	no	—
573	C₂²×D₅₃	—	4	4	no	—
574	C₂²×D₅₃	—	4	4	no	—
575	C₂²×D₅₃	—	4	4	no	—
576	C₂²×D₅₃	—	4	4	no	—
577	C₂²×D₅₃	—	4	4	no	—
578	C₂²×D₅₃	—	4	4	no	—
579	C₂²×D₅₃	—	4	2	no	—
580	C₂²×D₅₃	—	4	2	no	—
581	C₂²×D₅₃	—	4	2	no	—
582	C₂²×D₅₃	—	4	4	no	—
583	C₂²×D₅₃	—	4	4	no	—
584	C₂²×D₅₃	—	4	4	no	—
585	C₂²×D₅₃	—	4	8	no	—
586	C₂²×D₅₃	—	4	8	no	—
587	C₂²×D₅₃	—	4	4	no	—
588	C₂²×D₅₃	—	4	8	no	—
589	C₂²×D₅₃	—	4	4	no	—
590	C₂²×D₅₃	—	4	64	no	—
591	C₂²×D₅₃	—	4	32	no	—
592	C₂²×D₅₃	—	4	32	no	—
593	C₂²×D₅₃	—	4	32	no	—
594	C₂²×D₅₃	—	4	64	no	—
595	C₂²×D₅₃	—	8	16	no	—
596	C₂²×D₅₃	—	8	8	no	—
597	C₂²×D₅₃	H(5,𝔽₂)	1	8	yes	complemented
598	C₂²×D₅₃	C₂⁵	1	4	yes	—
599	C₂²×D₅₃	C₂⁵	1	4	yes	—
600	C₂²×D₅₃	C₂⁵	1	4	yes	—
601	C₂²×D₅₃	C₂⁵	1	4	yes	—
602	Q₈×C₅₃	—	4	4	no	—
603	D₄×C₅₃	—	2	16	no	—
604	D₄×C₅₃	—	2	8	no	—
605	D₄×C₅₃	—	2	8	no	—
606	D₄×C₅₃	—	4	8	no	—
607	D₄×C₅₃	—	4	4	no	—
608	C₂×C₄×C₅₃	—	2	4	no	—
609	C₂×C₄×C₅₃	—	2	8	no	—
610	C₂×C₄×C₅₃	—	4	4	no	—
611	C₂×C₄×C₅₃	—	4	2	no	—
612	C₂×C₄×C₅₃	—	4	4	no	—
613	C₂×C₄×C₅₃	—	4	2	no	—
614	C₂×C₄×C₅₃	—	4	8	no	—
615	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
616	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
617	C₂×C₄×C₅₃	C₂⁵	1	8	yes	—
618	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
619	C₂²⋊D₅₃	—	2	16	no	—
620	C₂²⋊D₅₃	—	2	8	no	—
621	C₂²⋊D₅₃	—	2	8	no	—
622	C₂²⋊D₅₃	—	2	8	no	—
623	C₂²⋊D₅₃	—	2	8	no	—
624	C₂²⋊D₅₃	—	2	16	no	—
625	C₂²⋊D₅₃	—	4	8	no	—
626	C₂²⋊D₅₃	—	4	8	no	—
627	C₂²⋊D₅₃	—	4	8	no	—
628	C₂²⋊D₅₃	—	4	8	no	—
629	C₂²⋊D₅₃	—	4	4	no	—
630	C₂²⋊D₅₃	—	4	4	no	—
631	C₂²⋊D₅₃	—	4	8	no	—
632	C₂×Dic₅₃	—	2	4	no	—
633	C₂×Dic₅₃	—	2	4	no	—
634	C₂×Dic₅₃	—	4	4	no	—
635	C₂×Dic₅₃	—	4	4	no	—
636	C₂×Dic₅₃	—	4	4	no	—
637	C₂×Dic₅₃	C₂⁵	1	8	yes	—
638	C₂×Dic₅₃	C₂⁵	1	4	yes	—
639	C₂×Dic₅₃	C₂⁵	1	4	yes	—
640	D₂₁₂	—	2	16	no	—
641	D₂₁₂	—	2	16	no	—
642	D₂₁₂	—	2	16	no	—
643	D₂₁₂	—	4	8	no	—
644	D₂₁₂	—	4	8	no	—
645	D₂₁₂	—	4	4	no	—
646	D₂₁₂	—	4	8	no	—
647	D₂₁₂	—	4	8	no	—
648	D₂₁₂	—	4	8	no	—
649	D₂₁₂	—	4	4	no	—
650	C₄×D₅₃	—	2	16	no	—
651	C₄×D₅₃	—	4	8	no	—
652	C₄×D₅₃	—	4	8	no	—
653	C₄×D₅₃	—	4	4	no	—
654	C₄×D₅₃	—	4	4	no	—
655	C₄×D₅₃	—	4	8	no	—
656	C₄×D₅₃	—	4	8	no	—
657	Dic₁₀₆	—	4	4	no	—
658	Dic₁₀₆	—	4	4	no	—
659	#62817	—	53	1	no	maximal, Sylow
660	C₂²×C₅₃	—	2	8	no	—
661	C₂²×C₅₃	—	2	2	no	—
662	C₂²×C₅₃	—	2	4	no	—
663	C₂²×C₅₃	—	2	2	no	—
664	C₂²×C₅₃	—	2	2	no	—
665	C₂²×C₅₃	—	2	4	no	—
666	C₂²×C₅₃	—	2	8	no	—
667	C₂²×C₅₃	—	2	2	no	—
668	C₂²×C₅₃	—	2	4	no	—
669	C₂²×C₅₃	—	4	4	no	—
670	C₂²×C₅₃	—	4	16	no	—
671	C₂²×C₅₃	—	4	4	no	—
672	C₂²×C₅₃	—	8	4	no	—
673	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
674	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
675	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
676	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
677	C₂×D₅₃	—	2	16	no	—
678	C₂×D₅₃	—	2	4	no	—
679	C₂×D₅₃	—	2	4	no	—
680	C₂×D₅₃	—	2	8	no	—
681	C₂×D₅₃	—	2	8	no	—
682	C₂×D₅₃	—	2	4	no	—
683	C₂×D₅₃	—	2	4	no	—
684	C₂×D₅₃	—	2	4	no	—
685	C₂×D₅₃	—	2	4	no	—
686	C₂×D₅₃	—	2	4	no	—
687	C₂×D₅₃	—	4	8	no	—
688	C₂×D₅₃	—	4	8	no	—
689	C₂×D₅₃	—	4	16	no	—
690	C₂×D₅₃	—	4	16	no	—
691	C₂×D₅₃	—	4	16	no	—
692	C₂×D₅₃	—	4	16	no	—
693	C₂×D₅₃	—	4	8	no	—
694	C₂×D₅₃	—	4	8	no	—
695	C₂×D₅₃	—	4	8	no	—
696	C₂×D₅₃	—	8	16	no	—
697	C₂×D₅₃	—	8	4	no	—
698	C₂×D₅₃	—	8	8	no	—
699	C₂×D₅₃	—	8	4	no	—
700	C₂×D₅₃	—	16	4	no	—
701	C₂×D₅₃	C₂×H(5,𝔽₂)	1	8	yes	—
702	C₄×C₅₃	—	2	4	no	—
703	C₄×C₅₃	—	2	4	no	—
704	C₄×C₅₃	—	2	8	no	—
705	C₄×C₅₃	—	2	4	no	—
706	Dic₅₃	—	2	8	no	—
707	Dic₅₃	—	2	4	no	—
708	Dic₅₃	—	2	4	no	—
709	#3532	—	53	8	no	—
710	#3532	—	53	8	no	—
711	#3532	—	53	8	no	—
712	#3490	—	53	8	no	—
713	#3490	—	53	2	no	—
714	#3490	—	53	4	no	—
715	#3490	—	53	2	no	—
716	#3490	—	53	1	no	—
717	#3490	D₅₃	1	1	yes	characteristic, complemented
718	#3484	—	53	8	no	—
719	#3484	—	53	2	no	—
720	#3484	—	53	4	no	—
721	#3484	—	53	2	no	—
722	#3484	—	53	2	no	—
723	C₂²×#120	—	53	2	no	—
724	C₂²×#120	—	53	1	no	—
725	C₂×C₅₃	—	2	4	no	—
726	C₂×C₅₃	—	2	4	no	—
727	C₂×C₅₃	—	2	2	no	—
728	C₂×C₅₃	—	4	2	no	—
729	C₂×C₅₃	—	4	4	no	—
730	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	2	yes	—
731	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
732	D₅₃	—	2	8	no	—
733	D₅₃	—	4	4	no	—
734	D₅₃	—	4	4	no	—
735	D₅₃	—	4	4	no	—
736	C₂⁶	—	53	1	no	—
737	C₂×H(5,𝔽₂)	—	53	4	no	—
738	C₂×H(5,𝔽₂)	—	53	2	no	—
739	C₂³×D₄	—	53	1	no	—
740	C₂³×D₄	—	53	2	no	—
741	C₂³×D₄	—	53	4	no	—
742	C₂³×D₄	—	53	2	no	—
743	H(3,𝔽₄)	—	53	8	no	—
744	#560	—	53	8	no	—
745	#560	—	53	8	no	—
746	#560	—	53	8	no	—
747	#551	—	53	8	no	—
748	#551	—	53	8	no	—
749	#551	—	53	8	no	—
750	#551	—	53	8	no	—
751	#551	—	53	8	no	—
752	#551	—	53	8	no	—
753	#551	—	53	8	no	—
754	#551	—	53	8	no	—
755	#551	C₂×D₅₃	1	8	yes	complemented
756	#546	—	53	8	no	—
757	#546	—	53	8	no	—
758	#546	—	53	8	no	—
759	#546	—	53	8	no	—
760	#546	—	53	8	no	—
761	#546	—	53	8	no	—
762	#546	—	53	8	no	—
763	#546	—	53	8	no	—
764	#546	—	53	8	no	—
765	#546	—	53	8	no	—
766	#546	—	53	8	no	—
767	#546	—	53	8	no	—
768	#546	—	53	8	no	—
769	#546	—	53	8	no	—
770	#546	—	53	8	no	—
771	#546	—	53	8	no	—
772	#546	—	53	8	no	—
773	#546	C₂×D₅₃	1	8	yes	complemented
774	D₄²	—	53	8	no	—
775	D₄²	—	53	8	no	—
776	D₄²	—	53	8	no	—
777	D₄²	—	53	8	no	—
778	D₄²	—	53	8	no	—
779	D₄²	—	53	8	no	—
780	D₄²	—	53	8	no	—
781	D₄²	—	53	8	no	—
782	D₄²	—	53	8	no	—
783	#543	—	53	4	no	—
784	#543	—	53	1	no	—
785	#543	C₂×D₅₃	1	1	yes	characteristic, complemented
786	#538	—	53	8	no	—
787	#538	—	53	8	no	—
788	#538	—	53	8	no	—
789	#538	—	53	8	no	—
790	#538	—	53	8	no	—
791	#538	—	53	4	no	—
792	#538	—	53	4	no	—
793	#538	—	53	8	no	—
794	#538	—	53	8	no	—
795	#538	—	53	4	no	—
796	#538	C₂×D₅₃	1	4	yes	complemented
797	#535	—	53	4	no	—
798	#535	—	53	8	no	—
799	#535	—	53	8	no	—
800	#535	—	53	4	no	—
801	#535	—	53	4	no	—
802	#535	—	53	4	no	—
803	#535	—	53	4	no	—
804	#534	—	53	2	no	—
805	#534	—	53	8	no	—
806	#534	—	53	4	no	—
807	#534	—	53	8	no	—
808	#534	—	53	8	no	—
809	#534	—	53	4	no	—
810	#534	—	53	8	no	—
811	#534	—	53	4	no	—
812	#534	—	53	2	no	—
813	#534	—	53	1	no	—
814	#534	—	53	4	no	—
815	#534	C₂×D₅₃	1	1	yes	characteristic, complemented
816	#525	—	53	4	no	—
817	#525	—	53	4	no	—
818	#525	—	53	8	no	—
819	#525	—	53	4	no	—
820	#525	—	53	8	no	—
821	#525	—	53	4	no	—
822	#525	C₂×D₅₃	1	4	yes	complemented
823	C₂×#120	—	53	2	no	—
824	C₂×#120	—	53	2	no	—
825	C₂×#120	—	53	4	no	—
826	C₂×#120	—	53	8	no	—
827	C₂×#120	—	53	8	no	—
828	C₂×#120	—	53	8	no	—
829	C₂×#120	—	53	8	no	—
830	C₂×#120	—	53	4	no	—
831	C₂×#120	—	53	4	no	—
832	C₂×#120	—	53	2	no	—
833	C₂×#120	—	53	2	no	—
834	C₂×#120	—	53	2	no	—
835	C₂×#120	—	53	8	no	—
836	C₂×#120	—	53	4	no	—
837	C₂×#120	—	53	8	no	—
838	C₂×#120	—	53	4	no	—
839	C₂×#120	—	53	4	no	—
840	C₂×#120	C₂×D₅₃	1	2	yes	complemented
841	#518	—	53	8	no	—
842	#518	—	53	4	no	—
843	#518	—	53	2	no	—
844	#518	—	53	2	no	—
845	#518	C₂×D₅₃	1	2	yes	complemented
846	C₂²×C₂²⋊C₄	—	53	2	no	—
847	C₂²×C₂²⋊C₄	—	53	2	no	—
848	C₂²×C₂²⋊C₄	—	53	4	no	—
849	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
850	C₅₃	#62817	1	1	yes	characteristic, complemented, Sylow
851	C₂⁵	—	53	4	no	—
852	C₂⁵	—	53	2	no	—
853	C₂⁵	—	53	2	no	—
854	C₂⁵	—	53	2	no	—
855	C₂⁵	—	53	4	no	—
856	C₂⁵	—	53	2	no	—
857	C₂⁵	—	53	1	no	—
858	C₂⁵	—	212	4	no	—
859	C₂⁵	—	212	8	no	—
860	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
861	H(5,𝔽₂)	—	212	8	no	—
862	H(5,𝔽₂)	—	212	16	no	—
863	C₂×#41	—	53	8	no	—
864	C₂×#41	—	53	4	no	—
865	C₂×#41	—	53	4	no	—
866	C₂×#41	—	53	4	no	—
867	C₂×#41	—	53	4	no	—
868	C₂×#41	—	53	8	no	—
869	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
870	C₂²×D₄	—	53	2	no	—
871	C₂²×D₄	—	53	2	no	—
872	C₂²×D₄	—	53	2	no	—
873	C₂²×D₄	—	53	2	no	—
874	C₂²×D₄	—	53	4	no	—
875	C₂²×D₄	—	53	8	no	—
876	C₂²×D₄	—	53	4	no	—
877	C₂²×D₄	—	53	4	no	—
878	C₂²×D₄	—	53	8	no	—
879	C₂²×D₄	—	53	8	no	—
880	C₂²×D₄	—	53	8	no	—
881	C₂²×D₄	—	53	8	no	—
882	C₂²×D₄	—	53	8	no	—
883	C₂²×D₄	—	53	8	no	—
884	C₂²×D₄	—	53	8	no	—
885	C₂²×D₄	—	53	4	no	—
886	C₂²×D₄	—	53	4	no	—
887	C₂²×D₄	—	53	8	no	—
888	C₂²×D₄	—	53	4	no	—
889	C₂²×D₄	—	53	4	no	—
890	C₂²×D₄	—	53	2	no	—
891	C₂²×D₄	—	53	4	no	—
892	C₂²×D₄	—	53	4	no	—
893	C₂²×D₄	—	53	4	no	—
894	C₂²×D₄	—	53	8	no	—
895	C₂²×D₄	—	53	8	no	—
896	C₂²×D₄	—	212	8	no	—
897	C₂²×D₄	—	212	8	no	—
898	C₂²×D₄	—	212	16	no	—
899	C₂²×D₄	—	212	4	no	—
900	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
901	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
902	C₂³×C₄	—	53	1	no	—
903	C₂³×C₄	—	53	2	no	—
904	C₂³×C₄	—	53	4	no	—
905	C₂³×C₄	C₂²×D₅₃	1	2	yes	complemented
906	#127	—	53	8	no	—
907	#127	—	53	8	no	—
908	#127	—	53	8	no	—
909	#126	—	53	8	no	—
910	#126	—	53	8	no	—
911	#126	—	53	8	no	—
912	#126	—	53	8	no	—
913	#126	—	53	8	no	—
914	#126	C₂²×D₅₃	1	8	yes	complemented
915	#124	—	53	8	no	—
916	#124	—	53	8	no	—
917	#124	—	53	8	no	—
918	#124	—	53	8	no	—
919	#124	—	53	8	no	—
920	#124	—	53	8	no	—
921	#124	—	53	8	no	—
922	#124	—	53	8	no	—
923	#124	C₂²×D₅₃	1	8	yes	complemented
924	#123	—	53	4	no	—
925	#123	—	53	8	no	—
926	#123	—	53	4	no	—
927	#123	—	53	8	no	—
928	#123	—	53	8	no	—
929	#123	—	53	8	no	—
930	#123	—	53	8	no	—
931	#123	—	53	8	no	—
932	#123	—	53	8	no	—
933	#123	—	53	8	no	—
934	#123	—	53	8	no	—
935	#123	—	53	4	no	—
936	#123	—	53	4	no	—
937	#123	—	53	4	no	—
938	#123	—	53	8	no	—
939	#123	—	53	8	no	—
940	#123	—	53	8	no	—
941	#123	—	53	8	no	—
942	#123	C₂²×D₅₃	1	8	yes	complemented
943	#123	C₂²×D₅₃	1	4	yes	complemented
944	#123	C₂²×D₅₃	1	8	yes	complemented
945	C₂²⋊Q₈	—	53	8	no	—
946	C₂²⋊Q₈	—	53	4	no	—
947	C₂²⋊Q₈	—	53	4	no	—
948	C₂²⋊Q₈	—	53	8	no	—
949	C₂²⋊Q₈	—	53	8	no	—
950	C₂²⋊Q₈	—	53	8	no	—
951	C₂²⋊Q₈	—	53	8	no	—
952	C₂²⋊Q₈	—	53	8	no	—
953	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
954	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
955	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
956	#121	—	53	8	no	—
957	#121	—	53	8	no	—
958	#121	—	53	8	no	—
959	#121	—	53	8	no	—
960	#121	—	53	8	no	—
961	#121	—	53	8	no	—
962	#121	—	53	4	no	—
963	#121	—	53	4	no	—
964	#121	—	53	8	no	—
965	#121	—	53	8	no	—
966	#121	—	53	8	no	—
967	#121	—	53	8	no	—
968	#121	—	53	8	no	—
969	#121	—	53	8	no	—
970	#121	—	53	8	no	—
971	#121	—	53	8	no	—
972	#121	—	53	8	no	—
973	#121	—	53	8	no	—
974	#121	—	53	8	no	—
975	#121	—	53	8	no	—
976	#121	—	53	8	no	—
977	#121	—	53	8	no	—
978	#121	—	53	8	no	—
979	#121	—	53	8	no	—
980	#121	—	53	8	no	—
981	#121	—	53	8	no	—
982	#121	C₂²×D₅₃	1	8	yes	complemented
983	#121	C₂²×D₅₃	1	4	yes	complemented
984	#121	C₂²×D₅₃	1	4	yes	complemented
985	#120	—	53	4	no	—
986	#120	—	53	4	no	—
987	#120	—	53	8	no	—
988	#120	—	53	4	no	—
989	#120	—	53	4	no	—
990	#120	—	53	8	no	—
991	#120	—	53	4	no	—
992	#120	—	53	8	no	—
993	#120	—	53	8	no	—
994	#120	—	53	8	no	—
995	#120	—	53	8	no	—
996	#120	—	53	8	no	—
997	#120	—	53	4	no	—
998	#120	—	53	8	no	—
999	#120	—	53	8	no	—
1000	#120	—	53	4	no	—
1001	#120	—	53	4	no	—
1002	#120	—	53	4	no	—
1003	#120	—	53	8	no	—
1004	#120	—	53	8	no	—
1005	#120	—	53	8	no	—
1006	#120	—	53	8	no	—
1007	#120	—	53	4	no	—
1008	#120	—	53	4	no	—
1009	#120	—	53	4	no	—
1010	#120	—	53	8	no	—
1011	#120	—	53	8	no	—
1012	#120	—	53	8	no	—
1013	#120	—	53	8	no	—
1014	#120	—	53	8	no	—
1015	#120	—	53	8	no	—
1016	#120	—	53	8	no	—
1017	#120	—	53	4	no	—
1018	#120	—	53	8	no	—
1019	#120	—	53	4	no	—
1020	#120	—	53	4	no	—
1021	#120	—	53	8	no	—
1022	#120	—	53	8	no	—
1023	#120	—	53	8	no	—
1024	#120	—	53	8	no	—
1025	#120	—	53	8	no	—
1026	#120	C₂²×D₅₃	1	8	yes	—
1027	#120	C₂²×D₅₃	1	4	yes	complemented
1028	#120	C₂²×D₅₃	1	4	yes	complemented
1029	#120	C₂²×D₅₃	1	4	yes	complemented
1030	C₄×D₄	—	53	8	no	—
1031	C₄×D₄	—	53	8	no	—
1032	C₄×D₄	—	53	8	no	—
1033	C₄×D₄	—	53	8	no	—
1034	C₄×D₄	—	53	8	no	—
1035	C₄×D₄	—	53	8	no	—
1036	C₄×D₄	—	53	8	no	—
1037	C₄×D₄	—	53	8	no	—
1038	C₄×D₄	—	53	8	no	—
1039	C₄×D₄	—	53	8	no	—
1040	C₄×D₄	—	53	8	no	—
1041	C₄×D₄	—	53	8	no	—
1042	C₄×D₄	—	53	8	no	—
1043	C₄×D₄	—	53	8	no	—
1044	C₄×D₄	—	53	8	no	—
1045	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1046	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1047	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1048	#117	—	53	4	no	—
1049	#117	—	53	8	no	—
1050	#117	—	53	4	no	—
1051	#117	—	53	4	no	—
1052	#117	—	53	8	no	—
1053	#117	C₂²×D₅₃	1	4	yes	complemented
1054	#117	C₂²×D₅₃	1	4	yes	complemented
1055	C₂×C₂²⋊C₄	—	53	2	no	—
1056	C₂×C₂²⋊C₄	—	53	4	no	—
1057	C₂×C₂²⋊C₄	—	53	4	no	—
1058	C₂×C₂²⋊C₄	—	53	4	no	—
1059	C₂×C₂²⋊C₄	—	53	4	no	—
1060	C₂×C₂²⋊C₄	—	53	4	no	—
1061	C₂×C₂²⋊C₄	—	53	4	no	—
1062	C₂×C₂²⋊C₄	—	53	4	no	—
1063	C₂×C₂²⋊C₄	—	53	8	no	—
1064	C₂×C₂²⋊C₄	—	53	4	no	—
1065	C₂×C₂²⋊C₄	—	53	8	no	—
1066	C₂×C₂²⋊C₄	—	53	8	no	—
1067	C₂×C₂²⋊C₄	—	53	8	no	—
1068	C₂×C₂²⋊C₄	—	53	8	no	—
1069	C₂×C₂²⋊C₄	—	53	8	no	—
1070	C₂×C₂²⋊C₄	—	53	8	no	—
1071	C₂×C₂²⋊C₄	—	53	8	no	—
1072	C₂×C₂²⋊C₄	—	53	4	no	—
1073	C₂×C₂²⋊C₄	—	53	8	no	—
1074	C₂×C₂²⋊C₄	—	53	4	no	—
1075	C₂×C₂²⋊C₄	—	53	8	no	—
1076	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1077	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1080	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1081	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1082	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1083	C₂⁴	—	2	4	no	—
1084	C₂⁴	—	4	4	no	—
1085	C₂⁴	—	53	2	no	—
1086	C₂⁴	—	53	2	no	—
1087	C₂⁴	—	53	2	no	—
1088	C₂⁴	—	53	4	no	—
1089	C₂⁴	—	53	4	no	—
1090	C₂⁴	—	53	4	no	—
1091	C₂⁴	—	53	4	no	—
1092	C₂⁴	—	53	2	no	—
1093	C₂⁴	—	53	2	no	—
1094	C₂⁴	—	53	8	no	—
1095	C₂⁴	—	53	4	no	—
1096	C₂⁴	—	53	2	no	—
1097	C₂⁴	—	53	2	no	—
1098	C₂⁴	—	53	2	no	—
1099	C₂⁴	—	53	4	no	—
1100	C₂⁴	—	106	8	no	—
1101	C₂⁴	—	106	16	no	—
1102	C₂⁴	—	106	8	no	—
1103	C₂⁴	—	212	4	no	—
1104	C₂⁴	—	212	2	no	—
1105	C₂⁴	—	212	4	no	—
1106	C₂⁴	—	212	4	no	—
1107	C₂⁴	—	212	4	no	—
1108	C₂⁴	—	212	8	no	—
1109	C₂⁴	—	212	8	no	—
1110	C₂⁴	—	212	8	no	—
1111	C₂⁴	—	212	4	no	—
1112	C₂⁴	—	212	8	no	—
1113	C₂⁴	—	212	8	no	—
1114	C₂⁴	—	212	8	no	—
1115	C₂⁴	—	212	8	no	—
1116	C₂⁴	—	212	8	no	—
1117	C₂⁴	—	212	64	no	—
1118	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1119	C₂⁴	C₂³×D₅₃	1	4	yes	—
1120	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1121	C₂⁴	C₂³×D₅₃	1	2	yes	—
1122	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1123	#41	—	4	8	no	—
1124	#41	—	212	8	no	—
1125	#41	—	212	8	no	—
1126	#41	—	212	16	no	—
1127	#41	—	212	8	no	—
1128	#41	—	212	8	no	—
1129	#41	—	212	16	no	—
1130	C₂×Q₈	—	53	4	no	—
1131	C₂×Q₈	—	53	4	no	—
1132	C₂×Q₈	C₂³×D₅₃	1	4	yes	complemented
1133	C₂×D₄	—	2	8	no	—
1134	C₂×D₄	—	4	8	no	—
1135	C₂×D₄	—	53	8	no	—
1136	C₂×D₄	—	53	8	no	—
1137	C₂×D₄	—	53	4	no	—
1138	C₂×D₄	—	53	4	no	—
1139	C₂×D₄	—	53	4	no	—
1140	C₂×D₄	—	53	4	no	—
1141	C₂×D₄	—	53	8	no	—
1142	C₂×D₄	—	53	8	no	—
1143	C₂×D₄	—	53	8	no	—
1144	C₂×D₄	—	53	8	no	—
1145	C₂×D₄	—	53	8	no	—
1146	C₂×D₄	—	53	4	no	—
1147	C₂×D₄	—	53	4	no	—
1148	C₂×D₄	—	53	8	no	—
1149	C₂×D₄	—	53	8	no	—
1150	C₂×D₄	—	53	8	no	—
1151	C₂×D₄	—	53	8	no	—
1152	C₂×D₄	—	53	8	no	—
1153	C₂×D₄	—	53	8	no	—
1154	C₂×D₄	—	53	8	no	—
1155	C₂×D₄	—	53	8	no	—
1156	C₂×D₄	—	53	4	no	—
1157	C₂×D₄	—	53	4	no	—
1158	C₂×D₄	—	106	16	no	—
1159	C₂×D₄	—	106	32	no	—
1160	C₂×D₄	—	106	8	no	—
1161	C₂×D₄	—	106	8	no	—
1162	C₂×D₄	—	212	8	no	—
1163	C₂×D₄	—	212	4	no	—
1164	C₂×D₄	—	212	8	no	—
1165	C₂×D₄	—	212	16	no	—
1166	C₂×D₄	—	212	8	no	—
1167	C₂×D₄	—	212	8	no	—
1168	C₂×D₄	—	212	16	no	—
1169	C₂×D₄	—	212	16	no	—
1170	C₂×D₄	—	212	4	no	—
1171	C₂×D₄	—	212	4	no	—
1172	C₂×D₄	—	212	16	no	—
1173	C₂×D₄	—	212	16	no	—
1174	C₂×D₄	—	212	16	no	—
1175	C₂×D₄	—	212	16	no	—
1176	C₂×D₄	—	212	8	no	—
1177	C₂×D₄	—	212	8	no	—
1178	C₂×D₄	—	212	16	no	—
1179	C₂×D₄	—	212	16	no	—
1180	C₂×D₄	—	212	8	no	—
1181	C₂×D₄	—	212	16	no	—
1182	C₂×D₄	—	212	8	no	—
1183	C₂×D₄	—	212	8	no	—
1184	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1185	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1186	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1187	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1188	C₂×D₄	C₂³×D₅₃	1	4	yes	complemented
1189	C₂²×C₄	—	4	4	no	—
1190	C₂²×C₄	—	53	2	no	—
1191	C₂²×C₄	—	53	2	no	—
1192	C₂²×C₄	—	53	4	no	—
1193	C₂²×C₄	—	53	4	no	—
1194	C₂²×C₄	—	53	4	no	—
1195	C₂²×C₄	—	53	8	no	—
1196	C₂²×C₄	—	53	8	no	—
1197	C₂²×C₄	—	53	8	no	—
1198	C₂²×C₄	—	53	8	no	—
1199	C₂²×C₄	—	53	8	no	—
1200	C₂²×C₄	—	53	4	no	—
1201	C₂²×C₄	—	53	4	no	—
1202	C₂²×C₄	—	212	4	no	—
1203	C₂²×C₄	—	212	8	no	—
1204	C₂²×C₄	—	212	2	no	—
1205	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1206	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1207	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1208	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1209	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1210	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1211	C₂²×C₄	C₂³×D₅₃	1	8	yes	complemented
1212	C₄⋊C₄	—	53	8	no	—
1213	C₄⋊C₄	—	53	8	no	—
1214	C₄⋊C₄	—	53	8	no	—
1215	C₄⋊C₄	—	53	8	no	—
1216	C₄⋊C₄	—	53	8	no	—
1217	C₄⋊C₄	—	53	4	no	—
1218	C₄⋊C₄	—	53	4	no	—
1219	C₄⋊C₄	C₂³×D₅₃	1	8	yes	complemented
1220	C₄⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1221	C₄⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1222	C₄⋊C₄	C₂³×D₅₃	1	8	yes	complemented
1223	C₂²⋊C₄	—	53	8	no	—
1224	C₂²⋊C₄	—	53	4	no	—
1225	C₂²⋊C₄	—	53	4	no	—
1226	C₂²⋊C₄	—	53	8	no	—
1227	C₂²⋊C₄	—	53	8	no	—
1228	C₂²⋊C₄	—	53	8	no	—
1229	C₂²⋊C₄	—	53	8	no	—
1230	C₂²⋊C₄	—	53	8	no	—
1231	C₂²⋊C₄	—	53	8	no	—
1232	C₂²⋊C₄	—	53	8	no	—
1233	C₂²⋊C₄	—	53	8	no	—
1234	C₂²⋊C₄	—	53	8	no	—
1235	C₂²⋊C₄	—	53	8	no	—
1236	C₂²⋊C₄	—	53	8	no	—
1237	C₂²⋊C₄	—	53	8	no	—
1238	C₂²⋊C₄	—	53	8	no	—
1239	C₂²⋊C₄	—	53	8	no	—
1240	C₂²⋊C₄	—	53	8	no	—
1241	C₂²⋊C₄	—	53	8	no	—
1242	C₂²⋊C₄	—	53	8	no	—
1243	C₂²⋊C₄	—	53	8	no	—
1244	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1245	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1246	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1247	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1248	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1249	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1250	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1251	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	complemented
1252	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	complemented
1253	C₄²	—	53	8	no	—
1254	C₄²	—	53	8	no	—
1255	C₄²	C₂³×D₅₃	1	8	yes	complemented
1256	C₂³	—	2	4	no	—
1257	C₂³	—	2	2	no	—
1258	C₂³	—	2	8	no	—
1259	C₂³	—	2	8	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	4	no	—
1262	C₂³	—	4	2	no	—
1263	C₂³	—	4	4	no	—
1264	C₂³	—	4	2	no	—
1265	C₂³	—	4	4	no	—
1266	C₂³	—	4	16	no	—
1267	C₂³	—	53	4	no	—
1268	C₂³	—	53	8	no	—
1269	C₂³	—	53	4	no	—
1270	C₂³	—	53	4	no	—
1271	C₂³	—	53	4	no	—
1272	C₂³	—	106	8	no	—
1273	C₂³	—	106	16	no	—
1274	C₂³	—	106	8	no	—
1275	C₂³	—	106	8	no	—
1276	C₂³	—	106	8	no	—
1277	C₂³	—	106	8	no	—
1278	C₂³	—	106	8	no	—
1279	C₂³	—	106	4	no	—
1280	C₂³	—	106	8	no	—
1281	C₂³	—	106	4	no	—
1282	C₂³	—	106	4	no	—
1283	C₂³	—	106	8	no	—
1284	C₂³	—	106	4	no	—
1285	C₂³	—	106	8	no	—
1286	C₂³	—	106	8	no	—
1287	C₂³	—	106	4	no	—
1288	C₂³	—	424	8	no	—
1289	C₂³	—	424	16	no	—
1290	C₂³	—	212	8	no	—
1291	C₂³	—	212	4	no	—
1292	C₂³	—	212	4	no	—
1293	C₂³	—	212	4	no	—
1294	C₂³	—	212	4	no	—
1295	C₂³	—	212	4	no	—
1296	C₂³	—	212	8	no	—
1297	C₂³	—	212	8	no	—
1298	C₂³	—	212	2	no	—
1299	C₂³	—	212	4	no	—
1300	C₂³	—	212	2	no	—
1301	C₂³	—	212	4	no	—
1302	C₂³	—	212	4	no	—
1303	C₂³	—	212	2	no	—
1304	C₂³	—	212	4	no	—
1305	C₂³	—	212	2	no	—
1306	C₂³	—	212	4	no	—
1307	C₂³	—	212	4	no	—
1308	C₂³	—	212	2	no	—
1309	C₂³	—	212	4	no	—
1310	C₂³	—	212	2	no	—
1311	C₂³	—	212	32	no	—
1312	C₂³	—	212	32	no	—
1313	C₂³	—	212	64	no	—
1314	C₂³	—	212	64	no	—
1315	C₂³	—	212	32	no	—
1316	C₂³	#13133263	1	4	yes	complemented
1317	C₂³	C₂⁴×D₅₃	1	2	yes	—
1318	C₂³	C₂⁴×D₅₃	1	4	yes	—
1319	C₂³	C₂⁴×D₅₃	1	2	yes	—
1320	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1321	C₂³	C₂⁴×D₅₃	1	2	yes	—
1322	Q₈	—	4	4	no	—
1323	Q₈	—	212	4	no	—
1324	Q₈	—	212	4	no	—
1325	D₄	—	2	16	no	—
1326	D₄	—	2	8	no	—
1327	D₄	—	2	8	no	—
1328	D₄	—	4	8	no	—
1329	D₄	—	4	4	no	—
1330	D₄	—	106	16	no	—
1331	D₄	—	106	16	no	—
1332	D₄	—	106	16	no	—
1333	D₄	—	106	16	no	—
1334	D₄	—	106	16	no	—
1335	D₄	—	106	8	no	—
1336	D₄	—	106	8	no	—
1337	D₄	—	106	8	no	—
1338	D₄	—	106	8	no	—
1339	D₄	—	212	8	no	—
1340	D₄	—	212	8	no	—
1341	D₄	—	212	8	no	—
1342	D₄	—	212	8	no	—
1343	D₄	—	212	4	no	—
1344	D₄	—	212	8	no	—
1345	D₄	—	212	4	no	—
1346	D₄	—	212	8	no	—
1347	D₄	—	212	8	no	—
1348	D₄	—	212	8	no	—
1349	D₄	—	212	8	no	—
1350	D₄	—	212	8	no	—
1351	D₄	—	212	4	no	—
1352	D₄	—	212	4	no	—
1353	C₂×C₄	—	2	8	no	—
1354	C₂×C₄	—	2	4	no	—
1355	C₂×C₄	—	4	2	no	—
1356	C₂×C₄	—	4	4	no	—
1357	C₂×C₄	—	4	2	no	—
1358	C₂×C₄	—	4	4	no	—
1359	C₂×C₄	—	4	8	no	—
1360	C₂×C₄	—	53	8	no	—
1361	C₂×C₄	—	53	4	no	—
1362	C₂×C₄	—	53	4	no	—
1363	C₂×C₄	—	106	16	no	—
1364	C₂×C₄	—	106	4	no	—
1365	C₂×C₄	—	106	4	no	—
1366	C₂×C₄	—	212	8	no	—
1367	C₂×C₄	—	212	8	no	—
1368	C₂×C₄	—	212	8	no	—
1369	C₂×C₄	—	212	8	no	—
1370	C₂×C₄	—	212	4	no	—
1371	C₂×C₄	—	212	4	no	—
1372	C₂×C₄	—	212	4	no	—
1373	C₂×C₄	—	212	4	no	—
1374	C₂×C₄	—	212	4	no	—
1375	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1376	C₂×C₄	C₂⁴×D₅₃	1	8	yes	—
1377	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1378	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1379	C₂²	—	2	8	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	4	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	8	no	—
1385	C₂²	—	2	4	no	—
1386	C₂²	—	2	4	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	4	4	no	—
1389	C₂²	—	4	16	no	—
1390	C₂²	—	4	4	no	—
1391	C₂²	—	8	4	no	—
1392	C₂²	—	53	8	no	—
1393	C₂²	—	848	4	no	—
1394	C₂²	—	106	16	no	—
1395	C₂²	—	106	4	no	—
1396	C₂²	—	106	4	no	—
1397	C₂²	—	106	8	no	—
1398	C₂²	—	106	8	no	—
1399	C₂²	—	106	4	no	—
1400	C₂²	—	106	4	no	—
1401	C₂²	—	106	4	no	—
1402	C₂²	—	106	4	no	—
1403	C₂²	—	106	4	no	—
1404	C₂²	—	424	8	no	—
1405	C₂²	—	424	4	no	—
1406	C₂²	—	424	4	no	—
1407	C₂²	—	424	16	no	—
1408	C₂²	—	212	8	no	—
1409	C₂²	—	212	16	no	—
1410	C₂²	—	212	16	no	—
1411	C₂²	—	212	16	no	—
1412	C₂²	—	212	8	no	—
1413	C₂²	—	212	8	no	—
1414	C₂²	—	212	8	no	—
1415	C₂²	—	212	16	no	—
1416	C₂²	—	212	8	no	—
1417	C₂²	H(5,𝔽₂)×D₅₃	1	4	yes	—
1418	C₂²	C₂×#13133263	1	4	yes	—
1419	C₂²	C₂×#13133263	1	2	yes	—
1420	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1421	C₄	—	2	4	no	—
1422	C₄	—	2	4	no	—
1423	C₄	—	2	8	no	—
1424	C₄	—	2	4	no	—
1425	C₄	—	106	8	no	—
1426	C₄	—	106	4	no	—
1427	C₄	—	106	4	no	—
1428	C₂	—	2	4	no	—
1429	C₂	—	2	2	no	—
1430	C₂	—	2	4	no	—
1431	C₂	—	4	2	no	—
1432	C₂	—	4	4	no	—
1433	C₂	—	106	8	no	—
1434	C₂	—	212	4	no	—
1435	C₂	—	212	4	no	—
1436	C₂	—	212	4	no	—
1437	C₂	C₂×H(5,𝔽₂)×D₅₃	1	2	yes	—
1438	C₂	C₂²×#13133263	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3490	C₂
hypercenter	#3490	D₅₃
hypocenter	C₅₃	#62817
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3490

Complements

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

N	H ≅ G/N	type
1. #20288871	C₂	semidirect
2. #20288866	C₂	semidirect
3. #20288864	C₂	semidirect
4. #20288405	C₂	semidirect
5. #20288404	C₂	semidirect
6. #20288400	C₂	semidirect
7. #20288399	C₂	semidirect
8. #20288398	C₂	semidirect
9. #20288351	C₂	semidirect
10. #20288348	C₂	semidirect
11. #20288347	C₂	semidirect
12. #20288345	C₂	semidirect
13. #20288344	C₂	semidirect
14. C₂²×#13133187	C₂	semidirect
15. C₂×#120×D₅₃	C₂	semidirect
16. C₅₃×#3490	C₂	semidirect
17. C₂⁵×D₅₃	C₂²	semidirect
18. C₂×#13133263	C₂²	semidirect
19. C₂×#13133262	C₂²	semidirect
20. C₂³×D₂₁₂	C₂²	semidirect
21. C₂³×C₂²⋊D₅₃	C₂²	semidirect
22. C₂²×D₄×D₅₃	C₂²	semidirect
23. C₂²×D₄×D₅₃	C₂²	semidirect
24. #16811365	C₂²	semidirect
25. #16811364	C₂²	semidirect
26. #16811363	C₂²	semidirect
27. #16811361	C₂²	semidirect
28. #16811302	C₂²	semidirect
29. #16811300	C₂²	semidirect
30. #16811300	C₂²	semidirect
31. #16811299	C₂²	semidirect
32. #16811298	C₂²	semidirect
33. #16811297	C₂²	semidirect
34. #16811297	C₂²	semidirect
35. #16811296	C₂²	semidirect
36. #16811269	C₂²	semidirect
37. #16811269	C₂²	semidirect
38. #16811268	C₂²	semidirect
39. #16811268	C₂²	semidirect
40. #16811266	C₂²	semidirect
41. #16811265	C₂²	semidirect
42. #16811265	C₂²	semidirect
43. #16811265	C₂²	semidirect
44. #16811264	C₂²	semidirect
45. #16811264	C₂²	semidirect
46. #16811264	C₂²	semidirect
47. #16811263	C₂²	semidirect
48. #16811263	C₂²	semidirect
49. #16811263	C₂²	semidirect
50. #16811262	C₂²	semidirect
51. #16811261	C₂²	semidirect
52. #16811260	C₂²	semidirect
53. D₄×D₂₁₂	C₂²	semidirect
54. D₄×D₂₁₂	C₂²	semidirect
55. D₄×D₂₁₂	C₂²	semidirect
56. #16811257	C₂²	semidirect
57. #16811257	C₂²	semidirect
58. #16811257	C₂²	semidirect
59. D₄×C₂²⋊D₅₃	C₂²	semidirect
60. #16811255	C₂²	semidirect
61. #16811255	C₂²	semidirect
62. #16811249	C₂²	semidirect
63. #16811248	C₂²	semidirect
64. #16811213	C₂²	semidirect
65. #16811213	C₂²	semidirect
66. #16811212	C₂²	semidirect
67. #16811212	C₂²	semidirect
68. #16811211	C₂²	semidirect
69. #16811210	C₂²	semidirect
70. #16811209	C₂²	semidirect
71. #16811207	C₂²	semidirect
72. #16811206	C₂²	semidirect
73. #16811206	C₂²	semidirect
74. #16811192	C₂²	semidirect
75. #16811192	C₂²	semidirect
76. #16811191	C₂²	semidirect
77. #16811189	C₂²	semidirect
78. #16811188	C₂²	semidirect
79. #16811188	C₂²	semidirect
80. #16811187	C₂²	semidirect
81. #16811185	C₂²	semidirect
82. #16811185	C₂²	semidirect
83. #16811185	C₂²	semidirect
84. #16811184	C₂²	semidirect
85. #16811184	C₂²	semidirect
86. #16811184	C₂²	semidirect
87. #16811184	C₂²	semidirect
88. #16811183	C₂²	semidirect
89. #16811182	C₂²	semidirect
90. #16811181	C₂²	semidirect
91. #16811181	C₂²	semidirect
92. #16811136	C₂²	semidirect
93. #16811135	C₂²	semidirect
94. #16811134	C₂²	semidirect
95. #16811132	C₂²	semidirect
96. #16811131	C₂²	semidirect
97. #16811129	C₂²	semidirect
98. C₂×#13133187	C₂²	semidirect
99. C₂×#13133187	C₂²	semidirect
100. C₂×#13133187	C₂²	semidirect
101. C₂×#13133187	C₂²	semidirect
102. C₂×#13133187	C₂²	semidirect
103. C₂×#13133187	C₂²	semidirect
104. C₂×#13133187	C₂²	semidirect
105. C₂×#13133187	C₂²	semidirect
106. C₂×#13133186	C₂²	semidirect
107. C₂×#13133185	C₂²	semidirect
108. C₂×#13133185	C₂²	semidirect
109. #120×D₅₃	C₂²	semidirect
110. #120×D₅₃	C₂²	semidirect
111. #120×D₅₃	C₂²	semidirect
112. #120×D₅₃	C₂²	semidirect
113. #120×D₅₃	C₂²	semidirect
114. #120×D₅₃	C₂²	semidirect
115. #16811097	C₂²	semidirect
116. #16811096	C₂²	semidirect
117. #16811096	C₂²	semidirect
118. #16811095	C₂²	semidirect
119. C₂²×#11719921	C₂²	semidirect
120. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
121. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
122. C₅₃×#551	C₂²	semidirect
123. C₅₃×#546	C₂²	semidirect
124. C₅₃×#543	C₂²	semidirect
125. C₅₃×#538	C₂²	semidirect
126. C₅₃×#534	C₂²	semidirect
127. C₅₃×#525	C₂²	semidirect
128. C₂×#120×C₅₃	C₂²	semidirect
129. C₅₃×#518	C₂²	semidirect
130. C₂²×C₂²⋊C₄×C₅₃	C₂²	semidirect
138. C₂⁴×D₅₃	C₂³	semidirect
139. C₂⁴×D₅₃	C₂³	semidirect
142. C₂×#11719949	C₂³	semidirect
143. C₂×#11719945	C₂³	semidirect
144. C₂×#11719945	C₂³	semidirect
145. C₂×#11719945	C₂³	semidirect
146. C₂×#11719947	C₂³	semidirect
147. C₂×#11719947	C₂³	semidirect
150. C₂²×D₂₁₂	C₂³	semidirect
151. C₂²×D₂₁₂	C₂³	semidirect
152. C₂²×D₂₁₂	C₂³	semidirect
153. C₂²×D₂₁₂	C₂³	semidirect
154. C₂²×D₂₁₂	C₂³	semidirect
155. C₂²×D₂₁₂	C₂³	semidirect
156. C₂²×D₂₁₂	C₂³	semidirect
160. C₂²×C₂²⋊D₅₃	C₂³	semidirect
161. C₂²×C₂²⋊D₅₃	C₂³	semidirect
162. C₂²×C₂²⋊D₅₃	C₂³	semidirect
163. C₂²×C₂²⋊D₅₃	C₂³	semidirect
164. C₂²×C₂²⋊D₅₃	C₂³	semidirect
165. C₂²×C₂²⋊D₅₃	C₂³	semidirect
169. C₂×D₄×D₅₃	C₂³	semidirect
170. C₂×D₄×D₅₃	C₂³	semidirect
171. C₂×D₄×D₅₃	C₂³	semidirect
172. C₂×D₄×D₅₃	C₂³	semidirect
173. C₂×D₄×D₅₃	C₂³	semidirect
174. C₂×D₄×D₅₃	C₂³	semidirect
175. C₂×D₄×D₅₃	C₂³	semidirect
176. C₂×D₄×D₅₃	C₂³	semidirect
177. C₂×D₄×D₅₃	C₂³	semidirect
178. C₂³×Dic₅₃	C₂³	semidirect
179. C₂²×C₄×D₅₃	C₂³	semidirect
180. C₂²×C₄×D₅₃	C₂³	semidirect
181. #13133214	C₂³	semidirect
182. #13133213	C₂³	semidirect
183. #13133213	C₂³	semidirect
184. #13133212	C₂³	semidirect
185. #13133212	C₂³	semidirect
186. #13133212	C₂³	semidirect
187. #13133211	C₂³	semidirect
188. #13133210	C₂³	semidirect
189. #13133206	C₂³	semidirect
190. #13133206	C₂³	semidirect
191. #13133205	C₂³	semidirect
192. #13133205	C₂³	semidirect
193. #13133203	C₂³	semidirect
194. #13133203	C₂³	semidirect
195. #13133203	C₂³	semidirect
196. #13133203	C₂³	semidirect
197. #13133202	C₂³	semidirect
198. #13133202	C₂³	semidirect
199. #13133202	C₂³	semidirect
200. #13133202	C₂³	semidirect
201. #13133202	C₂³	semidirect
202. #13133202	C₂³	semidirect
203. #13133202	C₂³	semidirect
204. #13133201	C₂³	semidirect
205. #13133201	C₂³	semidirect
206. #13133201	C₂³	semidirect
207. #13133201	C₂³	semidirect
208. #13133200	C₂³	semidirect
209. #13133200	C₂³	semidirect
210. #13133200	C₂³	semidirect
211. #13133199	C₂³	semidirect
212. #13133199	C₂³	semidirect
213. #13133199	C₂³	semidirect
214. #13133198	C₂³	semidirect
215. #13133197	C₂³	semidirect
216. #13133196	C₂³	semidirect
217. #13133196	C₂³	semidirect
218. #13133195	C₂³	semidirect
219. #13133195	C₂³	semidirect
220. #13133194	C₂³	semidirect
221. #13133194	C₂³	semidirect
222. #13133193	C₂³	semidirect
223. #13133192	C₂³	semidirect
224. #13133192	C₂³	semidirect
225. #13133192	C₂³	semidirect
226. #13133192	C₂³	semidirect
227. #13133192	C₂³	semidirect
228. #13133192	C₂³	semidirect
229. #13133192	C₂³	semidirect
230. #13133191	C₂³	semidirect
231. #13133191	C₂³	semidirect
232. #13133191	C₂³	semidirect
233. #13133191	C₂³	semidirect
234. #13133191	C₂³	semidirect
235. #13133191	C₂³	semidirect
236. #13133190	C₂³	semidirect
237. #13133190	C₂³	semidirect
238. #13133190	C₂³	semidirect
239. #13133190	C₂³	semidirect
240. #13133190	C₂³	semidirect
241. #13133190	C₂³	semidirect
242. #13133190	C₂³	semidirect
243. #13133190	C₂³	semidirect
244. #13133189	C₂³	semidirect
245. #13133189	C₂³	semidirect
246. #13133189	C₂³	semidirect
247. #13133189	C₂³	semidirect
248. #13133188	C₂³	semidirect
254. #13133187	C₂³	semidirect
255. #13133187	C₂³	semidirect
256. #13133187	C₂³	semidirect
257. #13133187	C₂³	semidirect
258. #13133187	C₂³	semidirect
259. #13133187	C₂³	semidirect
260. #13133187	C₂³	semidirect
261. #13133187	C₂³	semidirect
262. #13133187	C₂³	semidirect
263. #13133187	C₂³	semidirect
264. #13133187	C₂³	semidirect
265. #13133187	C₂³	semidirect
266. #13133187	C₂³	semidirect
267. #13133187	C₂³	semidirect
268. #13133187	C₂³	semidirect
269. #13133187	C₂³	semidirect
270. #13133187	C₂³	semidirect
271. #13133187	C₂³	semidirect
272. #13133187	C₂³	semidirect
273. #13133187	C₂³	semidirect
274. #13133187	C₂³	semidirect
276. #13133186	C₂³	semidirect
277. #13133186	C₂³	semidirect
278. #13133186	C₂³	semidirect
281. #13133185	C₂³	semidirect
282. #13133185	C₂³	semidirect
283. #13133185	C₂³	semidirect
284. #13133185	C₂³	semidirect
285. #13133185	C₂³	semidirect
286. #13133185	C₂³	semidirect
287. #13133185	C₂³	semidirect
288. #13133185	C₂³	semidirect
289. #13133185	C₂³	semidirect
290. C₄×D₂₁₂	C₂³	semidirect
291. C₄×D₂₁₂	C₂³	semidirect
292. C₄×D₂₁₂	C₂³	semidirect
293. D₄×Dic₅₃	C₂³	semidirect
294. #13133179	C₂³	semidirect
295. #13133179	C₂³	semidirect
296. #13133179	C₂³	semidirect
297. C₄×C₂²⋊D₅₃	C₂³	semidirect
298. C₄×C₂²⋊D₅₃	C₂³	semidirect
299. C₄×C₂²⋊D₅₃	C₂³	semidirect
300. C₄×C₂²⋊D₅₃	C₂³	semidirect
301. #13133177	C₂³	semidirect
302. #13133177	C₂³	semidirect
303. #13133177	C₂³	semidirect
304. #13133177	C₂³	semidirect
305. #13133176	C₂³	semidirect
306. #13133175	C₂³	semidirect
307. #13133174	C₂³	semidirect
308. #13133173	C₂³	semidirect
309. #13133173	C₂³	semidirect
311. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
313. C₂×#11719921	C₂³	semidirect
314. C₂×#11719921	C₂³	semidirect
315. C₂×#11719921	C₂³	semidirect
316. C₂×#11719921	C₂³	semidirect
317. C₂×#11719921	C₂³	semidirect
318. C₂×#11719921	C₂³	semidirect
319. C₂×#11719921	C₂³	semidirect
320. C₂×#11719921	C₂³	semidirect
322. C₂²⋊C₄×D₅₃	C₂³	semidirect
323. C₂²⋊C₄×D₅₃	C₂³	semidirect
324. C₂²⋊C₄×D₅₃	C₂³	semidirect
325. C₂²⋊C₄×D₅₃	C₂³	semidirect
326. C₂²⋊C₄×D₅₃	C₂³	semidirect
327. C₂²⋊C₄×D₅₃	C₂³	semidirect
328. C₂²⋊C₄×D₅₃	C₂³	semidirect
329. C₂²⋊C₄×D₅₃	C₂³	semidirect
330. C₂²⋊C₄×D₅₃	C₂³	semidirect
332. C₂×#41×C₅₃	C₂³	semidirect
334. C₂²×D₄×C₅₃	C₂³	semidirect
335. C₂³×C₄×C₅₃	C₂³	semidirect
336. #126×C₅₃	C₂³	semidirect
337. #124×C₅₃	C₂³	semidirect
338. #123×C₅₃	C₂³	semidirect
339. #123×C₅₃	C₂³	semidirect
340. #123×C₅₃	C₂³	semidirect
341. C₂²⋊Q₈×C₅₃	C₂³	semidirect
342. C₂²⋊Q₈×C₅₃	C₂³	semidirect
343. C₂²⋊Q₈×C₅₃	C₂³	semidirect
344. #121×C₅₃	C₂³	semidirect
345. #121×C₅₃	C₂³	semidirect
346. #121×C₅₃	C₂³	semidirect
348. #120×C₅₃	C₂³	semidirect
349. #120×C₅₃	C₂³	semidirect
350. #120×C₅₃	C₂³	semidirect
351. C₄×D₄×C₅₃	C₂³	semidirect
352. C₄×D₄×C₅₃	C₂³	semidirect
353. C₄×D₄×C₅₃	C₂³	semidirect
354. #117×C₅₃	C₂³	semidirect
355. #117×C₅₃	C₂³	semidirect
359. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
360. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
361. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
362. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
402. C₂³×D₅₃	C₂⁴	semidirect
404. C₂×Q₈×C₅₃	C₂⁴	semidirect
411. C₂×D₄×C₅₃	C₂⁴	semidirect
419. C₂²×C₄×C₅₃	C₂⁴	semidirect
438. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
439. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
440. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
446. C₂²×Dic₅₃	C₂⁴	semidirect
478. C₂×D₂₁₂	C₂⁴	semidirect
479. C₂×D₂₁₂	C₂⁴	semidirect
480. C₂×D₂₁₂	C₂⁴	semidirect
486. C₂×C₄×D₅₃	C₂⁴	semidirect
487. C₂×C₄×D₅₃	C₂⁴	semidirect
488. C₂×C₄×D₅₃	C₂⁴	semidirect
489. C₂×C₄×D₅₃	C₂⁴	semidirect
490. C₂×Dic₁₀₆	C₂⁴	semidirect
491. C₂×Dic₁₀₆	C₂⁴	semidirect
492. C₄⋊C₄×C₅₃	C₂⁴	semidirect
493. C₄⋊C₄×C₅₃	C₂⁴	semidirect
494. C₄⋊C₄×C₅₃	C₂⁴	semidirect
495. C₄⋊C₄×C₅₃	C₂⁴	semidirect
503. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
504. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
505. C₄²×C₅₃	C₂⁴	semidirect
510. C₂²⋊Dic₅₃	C₂⁴	semidirect
521. #11719921	C₂⁴	semidirect
522. #11719921	C₂⁴	semidirect
523. #11719921	C₂⁴	semidirect
524. #11719921	C₂⁴	semidirect
525. #11719921	C₂⁴	semidirect
526. #11719921	C₂⁴	semidirect
527. C₄⋊Dic₅₃	C₂⁴	semidirect
528. C₄⋊Dic₅₃	C₂⁴	semidirect
529. C₄⋊Dic₅₃	C₂⁴	semidirect
530. #11719919	C₂⁴	semidirect
531. #11719919	C₂⁴	semidirect
532. #11719919	C₂⁴	semidirect
533. #11719919	C₂⁴	semidirect
534. C₄×Dic₅₃	C₂⁴	semidirect
535. C₄×Dic₅₃	C₂⁴	semidirect
547. C₂³×C₅₃	H(5,𝔽₂)	semidirect
597. C₂²×D₅₃	H(5,𝔽₂)	semidirect
717. #3490	D₅₃	semidirect
755. #551	C₂×D₅₃	semidirect
773. #546	C₂×D₅₃	semidirect
785. #543	C₂×D₅₃	semidirect
796. #538	C₂×D₅₃	semidirect
815. #534	C₂×D₅₃	semidirect
822. #525	C₂×D₅₃	semidirect
840. C₂×#120	C₂×D₅₃	semidirect
845. #518	C₂×D₅₃	semidirect
849. C₂²×C₂²⋊C₄	C₂×D₅₃	semidirect
850. C₅₃	#62817	semidirect
869. C₂×#41	C₂²×D₅₃	semidirect
901. C₂²×D₄	C₂²×D₅₃	semidirect
905. C₂³×C₄	C₂²×D₅₃	semidirect
914. #126	C₂²×D₅₃	semidirect
923. #124	C₂²×D₅₃	semidirect
942. #123	C₂²×D₅₃	semidirect
943. #123	C₂²×D₅₃	semidirect
944. #123	C₂²×D₅₃	semidirect
953. C₂²⋊Q₈	C₂²×D₅₃	semidirect
954. C₂²⋊Q₈	C₂²×D₅₃	semidirect
955. C₂²⋊Q₈	C₂²×D₅₃	semidirect
982. #121	C₂²×D₅₃	semidirect
983. #121	C₂²×D₅₃	semidirect
984. #121	C₂²×D₅₃	semidirect
1027. #120	C₂²×D₅₃	semidirect
1028. #120	C₂²×D₅₃	semidirect
1029. #120	C₂²×D₅₃	semidirect
1045. C₄×D₄	C₂²×D₅₃	semidirect
1046. C₄×D₄	C₂²×D₅₃	semidirect
1047. C₄×D₄	C₂²×D₅₃	semidirect
1053. #117	C₂²×D₅₃	semidirect
1054. #117	C₂²×D₅₃	semidirect
1079. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1080. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1081. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1082. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1132. C₂×Q₈	C₂³×D₅₃	semidirect
1188. C₂×D₄	C₂³×D₅₃	semidirect
1211. C₂²×C₄	C₂³×D₅₃	semidirect
1219. C₄⋊C₄	C₂³×D₅₃	semidirect
1220. C₄⋊C₄	C₂³×D₅₃	semidirect
1221. C₄⋊C₄	C₂³×D₅₃	semidirect
1222. C₄⋊C₄	C₂³×D₅₃	semidirect
1251. C₂²⋊C₄	C₂³×D₅₃	semidirect
1252. C₂²⋊C₄	C₂³×D₅₃	semidirect
1255. C₄²	C₂³×D₅₃	semidirect
1316. C₂³	#13133263	semidirect

Maximal subgroups

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

subgroup	index
#20288871	2
#20288866	2
#20288864	2
#20288405	2
#20288404	2
#20288400	2
#20288399	2
#20288398	2
#20288351	2
#20288348	2
#20288347	2
#20288345	2
#20288344	2
C₂²×#13133187	2
C₂×#120×D₅₃	2
C₅₃×#3490	2
#62817	53