Subgroups — D₅₃×#3532 #28291207

Order 13568.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288872	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288871	C₂	1	3	yes	maximal, complemented
3	#20288870	C₂	1	3	yes	maximal, complemented
4	#20288869	C₂	1	3	yes	maximal, complemented
5	#20288868	C₂	1	3	yes	maximal, complemented
6	#20288867	C₂	1	3	yes	maximal, complemented
7	#20288866	C₂	1	6	yes	maximal, complemented
8	#20288865	C₂	1	3	yes	maximal, complemented
9	#20288864	C₂	1	6	yes	maximal, complemented
10	H(3,𝔽₄)×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
11	#560×D₅₃	C₂	1	3	yes	maximal, complemented
12	#551×D₅₃	C₂	1	3	yes	maximal, complemented
13	#546×D₅₃	C₂	1	6	yes	maximal, complemented
14	D₄²×D₅₃	C₂	1	3	yes	maximal, complemented
15	#538×D₅₃	C₂	1	6	yes	maximal, complemented
16	#535×D₅₃	C₂	1	3	yes	maximal, complemented
17	#534×D₅₃	C₂	1	3	yes	maximal, complemented
18	C₂×#120×D₅₃	C₂	1	3	yes	maximal, complemented
19	C₅₃×#3532	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁵×D₅₃	C₂²	1	1	yes	characteristic, complemented
21	C₂×#41×D₅₃	C₂²	1	3	yes	complemented
22	C₂²×D₄×D₅₃	C₂²	1	3	yes	complemented
23	C₂²×D₄×D₅₃	C₂²	1	6	yes	complemented
24	C₂²×D₄×D₅₃	C₂²	1	3	yes	complemented
25	#16811366	C₂²	1	3	yes	complemented
26	#16811366	C₂²	1	3	yes	complemented
27	#16811365	C₂²	1	6	yes	complemented
28	#16811365	C₂²	1	3	yes	complemented
29	#16811364	C₂²	1	6	yes	complemented
30	#16811363	C₂²	1	6	yes	complemented
31	#16811363	C₂²	1	3	yes	complemented
32	#16811362	C₂²	1	6	yes	complemented
33	#16811362	C₂²	1	3	yes	complemented
34	#16811361	C₂²	1	6	yes	complemented
35	#16811361	C₂²	1	6	yes	complemented
36	#16811361	C₂²	1	6	yes	complemented
37	#16811360	C₂²	1	3	yes	complemented
38	#16811304	C₂²	1	3	yes	complemented
39	#16811303	C₂²	1	3	yes	complemented
40	#16811302	C₂²	1	6	yes	complemented
41	#16811301	C₂²	1	3	yes	complemented
42	#16811300	C₂²	1	6	yes	complemented
43	#16811299	C₂²	1	6	yes	complemented
44	#16811298	C₂²	1	6	yes	complemented
45	#16811297	C₂²	1	6	yes	complemented
46	#16811296	C₂²	1	6	yes	complemented
47	#16811270	C₂²	1	6	yes	complemented
48	#16811269	C₂²	1	6	yes	complemented
49	#16811268	C₂²	1	6	yes	complemented
50	#16811267	C₂²	1	6	yes	complemented
51	#16811266	C₂²	1	6	yes	complemented
52	#16811265	C₂²	1	6	yes	complemented
53	#16811265	C₂²	1	6	yes	complemented
54	#16811264	C₂²	1	6	yes	complemented
55	#16811263	C₂²	1	6	yes	complemented
56	#16811263	C₂²	1	6	yes	complemented
57	#16811262	C₂²	1	6	yes	complemented
58	#16811262	C₂²	1	6	yes	complemented
59	#16811261	C₂²	1	6	yes	complemented
60	#16811260	C₂²	1	6	yes	complemented
61	#16811260	C₂²	1	6	yes	complemented
62	D₄×D₂₁₂	C₂²	1	6	yes	complemented
63	#16811258	C₂²	1	3	yes	complemented
64	#16811257	C₂²	1	6	yes	complemented
65	#16811257	C₂²	1	6	yes	complemented
66	D₄×C₂²⋊D₅₃	C₂²	1	6	yes	complemented
67	D₄×C₂²⋊D₅₃	C₂²	1	6	yes	complemented
68	#16811255	C₂²	1	3	yes	complemented
69	#16811255	C₂²	1	3	yes	complemented
70	#16811255	C₂²	1	6	yes	complemented
71	#16811213	C₂²	1	6	yes	complemented
72	#16811212	C₂²	1	6	yes	complemented
73	#16811212	C₂²	1	6	yes	complemented
74	#16811211	C₂²	1	6	yes	complemented
75	#16811210	C₂²	1	6	yes	complemented
76	#16811209	C₂²	1	6	yes	complemented
77	#16811209	C₂²	1	6	yes	complemented
78	#16811208	C₂²	1	6	yes	complemented
79	#16811208	C₂²	1	6	yes	complemented
80	#16811207	C₂²	1	6	yes	complemented
81	#16811207	C₂²	1	6	yes	complemented
82	#16811206	C₂²	1	6	yes	complemented
83	#16811206	C₂²	1	6	yes	complemented
84	#16811205	C₂²	1	6	yes	complemented
85	#16811205	C₂²	1	6	yes	complemented
86	#16811192	C₂²	1	3	yes	complemented
87	#16811191	C₂²	1	3	yes	complemented
88	#16811191	C₂²	1	3	yes	complemented
89	#16811190	C₂²	1	3	yes	complemented
90	#16811189	C₂²	1	6	yes	complemented
91	#16811189	C₂²	1	6	yes	complemented
92	#16811188	C₂²	1	6	yes	complemented
93	#16811188	C₂²	1	6	yes	complemented
94	#16811187	C₂²	1	3	yes	complemented
95	#16811186	C₂²	1	3	yes	complemented
96	#16811186	C₂²	1	3	yes	complemented
97	#16811185	C₂²	1	3	yes	complemented
98	#16811184	C₂²	1	6	yes	complemented
99	#16811184	C₂²	1	3	yes	complemented
100	#16811184	C₂²	1	3	yes	complemented
101	#16811183	C₂²	1	3	yes	complemented
102	#16811183	C₂²	1	6	yes	complemented
103	#16811183	C₂²	1	3	yes	complemented
104	#16811182	C₂²	1	3	yes	complemented
105	#16811182	C₂²	1	3	yes	complemented
106	#16811181	C₂²	1	6	yes	complemented
107	#16811181	C₂²	1	6	yes	complemented
108	#127×D₅₃	C₂²	1	1	yes	characteristic, complemented
109	#127×D₅₃	C₂²	1	3	yes	complemented
110	#126×D₅₃	C₂²	1	2	yes	complemented
111	#126×D₅₃	C₂²	1	6	yes	complemented
112	#124×D₅₃	C₂²	1	3	yes	complemented
113	#124×D₅₃	C₂²	1	3	yes	complemented
114	#124×D₅₃	C₂²	1	6	yes	complemented
115	#123×D₅₃	C₂²	1	3	yes	complemented
116	#123×D₅₃	C₂²	1	3	yes	complemented
117	#123×D₅₃	C₂²	1	6	yes	complemented
118	#123×D₅₃	C₂²	1	6	yes	complemented
119	C₂²⋊Q₈×D₅₃	C₂²	1	6	yes	complemented
120	#121×D₅₃	C₂²	1	6	yes	complemented
121	#121×D₅₃	C₂²	1	6	yes	complemented
122	#121×D₅₃	C₂²	1	6	yes	complemented
123	#121×D₅₃	C₂²	1	6	yes	complemented
124	#121×D₅₃	C₂²	1	6	yes	complemented
125	C₂×#13133187	C₂²	1	6	yes	complemented
126	C₂×#13133187	C₂²	1	3	yes	complemented
127	C₂×#13133186	C₂²	1	3	yes	complemented
128	C₂×#13133185	C₂²	1	6	yes	complemented
129	C₂×#13133185	C₂²	1	3	yes	complemented
130	#120×D₅₃	C₂²	1	3	yes	—
131	#120×D₅₃	C₂²	1	3	yes	complemented
132	#120×D₅₃	C₂²	1	6	yes	complemented
133	#120×D₅₃	C₂²	1	6	yes	complemented
134	#120×D₅₃	C₂²	1	3	yes	complemented
135	#120×D₅₃	C₂²	1	3	yes	complemented
136	#120×D₅₃	C₂²	1	3	yes	complemented
137	#120×D₅₃	C₂²	1	6	yes	complemented
138	#120×D₅₃	C₂²	1	6	yes	complemented
139	#120×D₅₃	C₂²	1	3	yes	complemented
140	#120×D₅₃	C₂²	1	3	yes	complemented
141	#120×D₅₃	C₂²	1	6	yes	complemented
142	#120×D₅₃	C₂²	1	3	yes	complemented
143	#120×D₅₃	C₂²	1	1	yes	characteristic, complemented
144	#120×D₅₃	C₂²	1	3	yes	complemented
145	C₄×D₄×D₅₃	C₂²	1	6	yes	complemented
146	C₄×D₄×D₅₃	C₂²	1	6	yes	complemented
147	#117×D₅₃	C₂²	1	3	yes	complemented
148	C₂×C₂²⋊C₄×D₅₃	C₂²	1	3	yes	complemented
149	C₂×C₂²⋊C₄×D₅₃	C₂²	1	6	yes	complemented
150	C₂×C₂²⋊C₄×D₅₃	C₂²	1	3	yes	complemented
151	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
152	C₅₃×#560	C₂²	1	3	yes	complemented
153	C₅₃×#551	C₂²	1	3	yes	complemented
154	C₅₃×#546	C₂²	1	6	yes	complemented
155	D₄²×C₅₃	C₂²	1	3	yes	complemented
156	C₅₃×#538	C₂²	1	6	yes	complemented
157	C₅₃×#535	C₂²	1	3	yes	complemented
158	C₅₃×#534	C₂²	1	3	yes	complemented
159	C₂×#120×C₅₃	C₂²	1	3	yes	complemented
160	C₂⁴×D₅₃	—	4	12	no	—
161	C₂⁴×D₅₃	C₂³	1	3	yes	—
162	C₂⁴×D₅₃	C₂³	1	3	yes	—
163	C₂⁴×D₅₃	C₂³	1	3	yes	—
164	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
165	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic, complemented
166	C₂⁴×D₅₃	C₂³	1	3	yes	complemented
167	C₂⁴×D₅₃	C₂³	1	3	yes	complemented
168	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic, complemented
169	C₂×#11719949	C₂³	1	3	yes	complemented
170	C₂×#11719945	C₂³	1	6	yes	complemented
171	C₂×#11719945	C₂³	1	3	yes	complemented
172	C₂×#11719947	C₂³	1	3	yes	complemented
173	C₂×#11719947	C₂³	1	6	yes	complemented
174	#41×D₅₃	—	4	12	no	—
175	C₂×Q₈×D₅₃	C₂³	1	3	yes	complemented
176	C₂²×D₂₁₂	C₂³	1	6	yes	complemented
177	C₂²×D₂₁₂	C₂³	1	3	yes	complemented
178	C₂²×D₂₁₂	C₂³	1	3	yes	complemented
179	C₂²×C₂²⋊D₅₃	C₂³	1	3	yes	complemented
180	C₂²×C₂²⋊D₅₃	C₂³	1	6	yes	complemented
181	C₂²×C₂²⋊D₅₃	C₂³	1	3	yes	complemented
182	C₂²×C₂²⋊D₅₃	C₂³	1	6	yes	complemented
183	C₂²×C₂²⋊D₅₃	C₂³	1	3	yes	complemented
184	C₂²×C₂²⋊D₅₃	C₂³	1	3	yes	complemented
185	C₂×D₄×D₅₃	—	4	12	no	—
186	C₂×D₄×D₅₃	—	4	24	no	—
187	C₂×D₄×D₅₃	—	4	12	no	—
188	C₂×D₄×D₅₃	C₂³	1	6	yes	—
189	C₂×D₄×D₅₃	C₂³	1	6	yes	—
190	C₂×D₄×D₅₃	C₂³	1	3	yes	—
191	C₂×D₄×D₅₃	C₂³	1	3	yes	—
192	C₂×D₄×D₅₃	C₂³	1	6	yes	—
193	C₂×D₄×D₅₃	C₂³	1	3	yes	—
194	C₂×D₄×D₅₃	C₂³	1	6	yes	—
195	C₂×D₄×D₅₃	C₂³	1	3	yes	—
196	C₂×D₄×D₅₃	C₂³	1	6	yes	complemented
197	C₂×D₄×D₅₃	C₂³	1	6	yes	complemented
198	C₂×D₄×D₅₃	C₂³	1	6	yes	complemented
199	C₂×D₄×D₅₃	C₂³	1	6	yes	complemented
200	C₂×D₄×D₅₃	C₂³	1	3	yes	complemented
201	C₂×D₄×D₅₃	C₂³	1	3	yes	complemented
202	C₂×D₄×D₅₃	C₂³	1	3	yes	complemented
203	C₂×D₄×D₅₃	C₂³	1	3	yes	complemented
204	C₂×D₄×D₅₃	C₂³	1	3	yes	complemented
205	C₂×D₄×D₅₃	C₂³	1	6	yes	complemented
206	C₂×D₄×D₅₃	C₂³	1	6	yes	complemented
207	C₂×D₄×D₅₃	C₂³	1	6	yes	complemented
208	C₂²×C₄×D₅₃	C₂³	1	3	yes	—
209	C₂²×C₄×D₅₃	C₂³	1	6	yes	—
210	C₂²×C₄×D₅₃	C₂³	1	6	yes	complemented
211	C₂²×C₄×D₅₃	C₂³	1	3	yes	complemented
212	#13133214	C₂³	1	3	yes	complemented
213	#13133214	C₂³	1	1	yes	characteristic, complemented
214	#13133213	C₂³	1	3	yes	complemented
215	#13133213	C₂³	1	6	yes	complemented
216	#13133213	C₂³	1	3	yes	complemented
217	#13133213	C₂³	1	6	yes	complemented
218	#13133213	C₂³	1	3	yes	complemented
219	#13133213	C₂³	1	3	yes	complemented
220	#13133212	C₂³	1	6	yes	complemented
221	#13133212	C₂³	1	6	yes	complemented
222	#13133212	C₂³	1	6	yes	complemented
223	#13133212	C₂³	1	6	yes	complemented
224	#13133211	C₂³	1	6	yes	complemented
225	#13133211	C₂³	1	2	yes	complemented
226	#13133210	C₂³	1	6	yes	complemented
227	#13133210	C₂³	1	6	yes	complemented
228	#13133210	C₂³	1	6	yes	complemented
229	#13133210	C₂³	1	6	yes	complemented
230	#13133206	C₂³	1	6	yes	complemented
231	#13133206	C₂³	1	3	yes	complemented
232	#13133206	C₂³	1	3	yes	complemented
233	#13133205	C₂³	1	6	yes	complemented
234	#13133205	C₂³	1	3	yes	complemented
235	#13133205	C₂³	1	3	yes	complemented
236	#13133204	C₂³	1	6	yes	complemented
237	#13133204	C₂³	1	3	yes	complemented
238	#13133204	C₂³	1	3	yes	complemented
239	#13133203	C₂³	1	6	yes	complemented
240	#13133203	C₂³	1	6	yes	complemented
241	#13133203	C₂³	1	6	yes	complemented
242	#13133203	C₂³	1	6	yes	complemented
243	#13133203	C₂³	1	6	yes	complemented
244	#13133203	C₂³	1	6	yes	complemented
245	#13133203	C₂³	1	6	yes	complemented
246	#13133203	C₂³	1	6	yes	complemented
247	#13133202	C₂³	1	6	yes	complemented
248	#13133202	C₂³	1	6	yes	complemented
249	#13133202	C₂³	1	6	yes	complemented
250	#13133202	C₂³	1	6	yes	complemented
251	#13133202	C₂³	1	6	yes	complemented
252	#13133202	C₂³	1	6	yes	complemented
253	#13133201	C₂³	1	6	yes	complemented
254	#13133201	C₂³	1	6	yes	complemented
255	#13133201	C₂³	1	3	yes	complemented
256	#13133201	C₂³	1	3	yes	complemented
257	#13133200	C₂³	1	6	yes	complemented
258	#13133200	C₂³	1	3	yes	complemented
259	#13133200	C₂³	1	6	yes	complemented
260	#13133200	C₂³	1	3	yes	complemented
261	#13133199	C₂³	1	6	yes	complemented
262	#13133199	C₂³	1	6	yes	complemented
263	#13133199	C₂³	1	6	yes	complemented
264	#13133199	C₂³	1	6	yes	complemented
265	#13133199	C₂³	1	6	yes	complemented
266	#13133199	C₂³	1	6	yes	complemented
267	#13133198	C₂³	1	6	yes	complemented
268	#13133198	C₂³	1	6	yes	complemented
269	#13133198	C₂³	1	3	yes	complemented
270	#13133198	C₂³	1	3	yes	complemented
271	#13133197	C₂³	1	6	yes	complemented
272	#13133196	C₂³	1	6	yes	complemented
273	#13133195	C₂³	1	6	yes	complemented
274	#13133195	C₂³	1	6	yes	complemented
275	#13133194	C₂³	1	6	yes	complemented
276	#13133194	C₂³	1	6	yes	complemented
277	#13133193	C₂³	1	6	yes	complemented
278	#13133192	C₂³	1	6	yes	complemented
279	#13133192	C₂³	1	6	yes	complemented
280	#13133192	C₂³	1	6	yes	complemented
281	#13133192	C₂³	1	6	yes	complemented
282	#13133192	C₂³	1	6	yes	complemented
283	#13133191	C₂³	1	6	yes	complemented
284	#13133191	C₂³	1	6	yes	complemented
285	#13133191	C₂³	1	6	yes	complemented
286	#13133191	C₂³	1	6	yes	complemented
287	#13133191	C₂³	1	6	yes	complemented
288	#13133190	C₂³	1	6	yes	complemented
289	#13133190	C₂³	1	6	yes	complemented
290	#13133190	C₂³	1	6	yes	complemented
291	#13133190	C₂³	1	6	yes	complemented
292	#13133190	C₂³	1	6	yes	complemented
293	#13133190	C₂³	1	6	yes	complemented
294	#13133190	C₂³	1	6	yes	complemented
295	#13133190	C₂³	1	6	yes	complemented
296	#13133190	C₂³	1	6	yes	complemented
297	#13133190	C₂³	1	6	yes	complemented
298	#13133189	C₂³	1	6	yes	complemented
299	#13133189	C₂³	1	6	yes	complemented
300	#13133189	C₂³	1	6	yes	complemented
301	#13133189	C₂³	1	6	yes	complemented
302	#13133189	C₂³	1	6	yes	complemented
303	#13133189	C₂³	1	6	yes	complemented
304	#13133189	C₂³	1	6	yes	complemented
305	#13133189	C₂³	1	6	yes	complemented
306	#13133189	C₂³	1	6	yes	complemented
307	#13133189	C₂³	1	6	yes	complemented
308	#13133188	C₂³	1	6	yes	complemented
309	#13133188	C₂³	1	6	yes	complemented
310	#13133188	C₂³	1	6	yes	complemented
311	#13133188	C₂³	1	6	yes	complemented
312	#13133188	C₂³	1	6	yes	complemented
313	#13133187	C₂³	1	6	yes	—
314	#13133187	C₂³	1	3	yes	—
315	#13133187	C₂³	1	6	yes	complemented
316	#13133187	C₂³	1	3	yes	complemented
317	#13133187	C₂³	1	3	yes	complemented
318	#13133187	C₂³	1	6	yes	complemented
319	#13133187	C₂³	1	6	yes	complemented
320	#13133187	C₂³	1	3	yes	complemented
321	#13133187	C₂³	1	6	yes	complemented
322	#13133187	C₂³	1	6	yes	complemented
323	#13133187	C₂³	1	6	yes	complemented
324	#13133187	C₂³	1	6	yes	complemented
325	#13133187	C₂³	1	6	yes	complemented
326	#13133187	C₂³	1	6	yes	complemented
327	#13133187	C₂³	1	6	yes	complemented
328	#13133187	C₂³	1	3	yes	complemented
329	#13133187	C₂³	1	3	yes	complemented
330	#13133187	C₂³	1	6	yes	complemented
331	#13133187	C₂³	1	6	yes	complemented
332	#13133187	C₂³	1	6	yes	complemented
333	#13133186	C₂³	1	3	yes	—
334	#13133186	C₂³	1	3	yes	complemented
335	#13133186	C₂³	1	3	yes	complemented
336	#13133186	C₂³	1	3	yes	complemented
337	#13133186	C₂³	1	6	yes	complemented
338	#13133186	C₂³	1	6	yes	complemented
339	#13133186	C₂³	1	3	yes	complemented
340	#13133186	C₂³	1	1	yes	characteristic, complemented
341	#13133186	C₂³	1	6	yes	complemented
342	#13133185	C₂³	1	6	yes	—
343	#13133185	C₂³	1	3	yes	—
344	#13133185	C₂³	1	6	yes	complemented
345	#13133185	C₂³	1	3	yes	complemented
346	#13133185	C₂³	1	6	yes	complemented
347	#13133185	C₂³	1	3	yes	complemented
348	#13133185	C₂³	1	3	yes	complemented
349	#13133185	C₂³	1	6	yes	complemented
350	#13133185	C₂³	1	6	yes	complemented
351	#13133185	C₂³	1	6	yes	complemented
352	#13133185	C₂³	1	6	yes	complemented
353	#13133185	C₂³	1	6	yes	complemented
354	#13133185	C₂³	1	6	yes	complemented
355	#13133185	C₂³	1	6	yes	complemented
356	#13133185	C₂³	1	6	yes	complemented
357	#13133185	C₂³	1	3	yes	complemented
358	#13133185	C₂³	1	3	yes	complemented
359	#13133185	C₂³	1	6	yes	complemented
360	#13133185	C₂³	1	6	yes	complemented
361	#13133185	C₂³	1	6	yes	complemented
362	C₄×D₂₁₂	C₂³	1	6	yes	complemented
363	C₄×D₂₁₂	C₂³	1	6	yes	complemented
364	D₄×Dic₅₃	C₂³	1	6	yes	complemented
365	D₄×Dic₅₃	C₂³	1	6	yes	complemented
366	#13133179	C₂³	1	6	yes	complemented
367	#13133179	C₂³	1	6	yes	complemented
368	C₄×C₂²⋊D₅₃	C₂³	1	6	yes	complemented
369	C₄×C₂²⋊D₅₃	C₂³	1	6	yes	complemented
370	C₄×C₂²⋊D₅₃	C₂³	1	6	yes	complemented
371	C₄×C₂²⋊D₅₃	C₂³	1	6	yes	complemented
372	#13133177	C₂³	1	6	yes	complemented
373	#13133177	C₂³	1	6	yes	complemented
374	#13133177	C₂³	1	6	yes	complemented
375	#13133177	C₂³	1	6	yes	complemented
376	#13133176	C₂³	1	3	yes	complemented
377	#13133175	C₂³	1	6	yes	complemented
378	#13133174	C₂³	1	3	yes	complemented
379	#13133174	C₂³	1	3	yes	complemented
380	#13133173	C₂³	1	6	yes	complemented
381	C₄⋊C₄×D₅₃	C₂³	1	6	yes	complemented
382	C₄⋊C₄×D₅₃	C₂³	1	6	yes	complemented
383	C₄⋊C₄×D₅₃	C₂³	1	6	yes	complemented
384	C₂×C₂²⋊Dic₅₃	C₂³	1	6	yes	complemented
385	C₂×C₂²⋊Dic₅₃	C₂³	1	3	yes	complemented
386	C₂×C₂²⋊Dic₅₃	C₂³	1	3	yes	complemented
387	C₂×#11719921	C₂³	1	6	yes	complemented
388	C₂×#11719921	C₂³	1	6	yes	complemented
389	C₂×#11719921	C₂³	1	6	yes	complemented
390	C₂×#11719921	C₂³	1	6	yes	complemented
391	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	—
392	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	—
393	C₂²⋊C₄×D₅₃	C₂³	1	3	yes	—
394	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	—
395	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	—
396	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	—
397	C₂²⋊C₄×D₅₃	C₂³	1	3	yes	—
398	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	complemented
399	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	complemented
400	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	complemented
401	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	complemented
402	C₂²⋊C₄×D₅₃	C₂³	1	3	yes	complemented
403	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	complemented
404	C₂²⋊C₄×D₅₃	C₂³	1	3	yes	complemented
405	C₂²⋊C₄×D₅₃	C₂³	1	3	yes	complemented
406	C₂²⋊C₄×D₅₃	C₂³	1	3	yes	complemented
407	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	complemented
408	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	complemented
409	C₂²⋊C₄×D₅₃	C₂³	1	3	yes	complemented
410	C₂²⋊C₄×D₅₃	C₂³	1	3	yes	complemented
411	C₂²⋊C₄×D₅₃	C₂³	1	6	yes	complemented
412	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
413	C₄²×D₅₃	C₂³	1	3	yes	complemented
414	C₄²×D₅₃	C₂³	1	2	yes	complemented
415	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic, complemented
416	C₂×#41×C₅₃	C₂³	1	3	yes	complemented
417	C₂²×D₄×C₅₃	C₂³	1	6	yes	complemented
418	C₂²×D₄×C₅₃	C₂³	1	3	yes	complemented
419	C₂²×D₄×C₅₃	C₂³	1	3	yes	complemented
420	#127×C₅₃	C₂³	1	1	yes	characteristic, complemented
421	#127×C₅₃	C₂³	1	3	yes	complemented
422	#126×C₅₃	C₂³	1	6	yes	complemented
423	#126×C₅₃	C₂³	1	2	yes	complemented
424	#124×C₅₃	C₂³	1	6	yes	complemented
425	#124×C₅₃	C₂³	1	3	yes	complemented
426	#124×C₅₃	C₂³	1	3	yes	complemented
427	#123×C₅₃	C₂³	1	6	yes	complemented
428	#123×C₅₃	C₂³	1	6	yes	complemented
429	#123×C₅₃	C₂³	1	3	yes	complemented
430	#123×C₅₃	C₂³	1	3	yes	complemented
431	C₂²⋊Q₈×C₅₃	C₂³	1	6	yes	complemented
432	#121×C₅₃	C₂³	1	6	yes	complemented
433	#121×C₅₃	C₂³	1	6	yes	complemented
434	#121×C₅₃	C₂³	1	6	yes	complemented
435	#121×C₅₃	C₂³	1	6	yes	complemented
436	#121×C₅₃	C₂³	1	6	yes	complemented
437	#120×C₅₃	C₂³	1	3	yes	—
438	#120×C₅₃	C₂³	1	6	yes	complemented
439	#120×C₅₃	C₂³	1	6	yes	complemented
440	#120×C₅₃	C₂³	1	3	yes	complemented
441	#120×C₅₃	C₂³	1	3	yes	complemented
442	#120×C₅₃	C₂³	1	3	yes	complemented
443	#120×C₅₃	C₂³	1	1	yes	characteristic, complemented
444	#120×C₅₃	C₂³	1	3	yes	complemented
445	#120×C₅₃	C₂³	1	6	yes	complemented
446	C₄×D₄×C₅₃	C₂³	1	6	yes	complemented
447	C₄×D₄×C₅₃	C₂³	1	6	yes	complemented
448	#117×C₅₃	C₂³	1	3	yes	complemented
449	C₂×C₂²⋊C₄×C₅₃	C₂³	1	6	yes	complemented
450	C₂×C₂²⋊C₄×C₅₃	C₂³	1	3	yes	complemented
451	C₂×C₂²⋊C₄×C₅₃	C₂³	1	3	yes	complemented
452	C₂⁴×C₅₃	—	4	6	no	—
453	C₂⁴×C₅₃	C₂⁴	1	3	yes	—
454	C₂⁴×C₅₃	C₂⁴	1	3	yes	—
455	C₂⁴×C₅₃	C₂⁴	1	3	yes	—
456	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
457	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic, complemented
458	C₂³×D₅₃	—	2	24	no	—
459	C₂³×D₅₃	—	2	12	no	—
460	C₂³×D₅₃	—	2	12	no	—
461	C₂³×D₅₃	—	4	6	no	—
462	C₂³×D₅₃	—	4	12	no	—
463	C₂³×D₅₃	—	4	6	no	—
464	C₂³×D₅₃	—	4	6	no	—
465	C₂³×D₅₃	—	4	12	no	—
466	C₂³×D₅₃	—	4	6	no	—
467	C₂³×D₅₃	—	4	12	no	—
468	C₂³×D₅₃	—	4	6	no	—
469	C₂³×D₅₃	—	4	12	no	—
470	C₂³×D₅₃	—	4	6	no	—
471	C₂³×D₅₃	—	4	64	no	—
472	C₂³×D₅₃	C₂⁴	1	3	yes	—
473	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
474	C₂³×D₅₃	C₂⁴	1	3	yes	—
475	C₂³×D₅₃	C₂⁴	1	3	yes	—
476	C₂³×D₅₃	C₂⁴	1	3	yes	—
477	C₂³×D₅₃	C₂⁴	1	6	yes	—
478	C₂³×D₅₃	C₂⁴	1	3	yes	—
479	C₂³×D₅₃	C₂⁴	1	3	yes	—
480	C₂³×D₅₃	C₂⁴	1	3	yes	—
481	C₂³×D₅₃	C₂⁴	1	3	yes	—
482	C₂³×D₅₃	C₂⁴	1	3	yes	—
483	C₂³×D₅₃	C₂⁴	1	3	yes	—
484	C₂³×D₅₃	C₂⁴	1	3	yes	—
485	C₂³×D₅₃	C₂⁴	1	3	yes	—
486	C₂³×D₅₃	C₂⁴	1	3	yes	complemented
487	#41×C₅₃	—	4	6	no	—
488	C₂×Q₈×C₅₃	C₂⁴	1	3	yes	complemented
489	C₂×D₄×C₅₃	—	4	6	no	—
490	C₂×D₄×C₅₃	—	4	12	no	—
491	C₂×D₄×C₅₃	—	4	6	no	—
492	C₂×D₄×C₅₃	C₂⁴	1	6	yes	—
493	C₂×D₄×C₅₃	C₂⁴	1	6	yes	—
494	C₂×D₄×C₅₃	C₂⁴	1	3	yes	—
495	C₂×D₄×C₅₃	C₂⁴	1	3	yes	—
496	C₂×D₄×C₅₃	C₂⁴	1	6	yes	—
497	C₂×D₄×C₅₃	C₂⁴	1	3	yes	—
498	C₂×D₄×C₅₃	C₂⁴	1	6	yes	—
499	C₂×D₄×C₅₃	C₂⁴	1	3	yes	—
500	C₂×D₄×C₅₃	C₂⁴	1	3	yes	complemented
501	C₂×D₄×C₅₃	C₂⁴	1	6	yes	complemented
502	C₂²×C₄×C₅₃	C₂⁴	1	3	yes	—
503	C₂²×C₄×C₅₃	C₂⁴	1	6	yes	—
504	C₂²×C₄×C₅₃	C₂⁴	1	6	yes	complemented
505	C₂²×C₄×C₅₃	C₂⁴	1	3	yes	complemented
506	C₂×C₂²⋊D₅₃	—	4	6	no	—
507	C₂×C₂²⋊D₅₃	—	4	6	no	—
508	C₂×C₂²⋊D₅₃	—	4	12	no	—
509	C₂×C₂²⋊D₅₃	—	4	6	no	—
510	C₂×C₂²⋊D₅₃	—	4	12	no	—
511	C₂×C₂²⋊D₅₃	—	4	6	no	—
512	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	—
513	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	—
514	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	—
515	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	—
516	C₂×C₂²⋊D₅₃	C₂⁴	1	3	yes	—
517	C₂×C₂²⋊D₅₃	C₂⁴	1	3	yes	—
518	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	—
519	C₂×C₂²⋊D₅₃	C₂⁴	1	3	yes	—
520	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	—
521	C₂×C₂²⋊D₅₃	C₂⁴	1	3	yes	—
522	C₂×C₂²⋊D₅₃	C₂⁴	1	3	yes	—
523	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	—
524	C₂×C₂²⋊D₅₃	C₂⁴	1	3	yes	—
525	C₂×C₂²⋊D₅₃	C₂⁴	1	3	yes	—
526	C₂×C₂²⋊D₅₃	C₂⁴	1	3	yes	—
527	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	—
528	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	complemented
529	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	complemented
530	C₂×C₂²⋊D₅₃	C₂⁴	1	6	yes	complemented
531	C₂²×Dic₅₃	C₂⁴	1	3	yes	—
532	C₂²×Dic₅₃	C₂⁴	1	6	yes	—
533	C₂²×Dic₅₃	C₂⁴	1	6	yes	complemented
534	C₂²×Dic₅₃	C₂⁴	1	3	yes	complemented
535	#11719949	—	4	6	no	—
536	Q₈×D₅₃	—	4	6	no	—
537	#11719947	—	4	6	no	—
538	#11719947	—	4	12	no	—
539	D₄×D₅₃	—	2	24	no	—
540	D₄×D₅₃	—	2	24	no	—
541	D₄×D₅₃	—	4	6	no	—
542	D₄×D₅₃	—	4	6	no	—
543	D₄×D₅₃	—	4	6	no	—
544	D₄×D₅₃	—	4	6	no	—
545	D₄×D₅₃	—	4	12	no	—
546	D₄×D₅₃	—	4	12	no	—
547	D₄×D₅₃	—	4	6	no	—
548	D₄×D₅₃	—	4	6	no	—
549	D₄×D₅₃	—	4	6	no	—
550	D₄×D₅₃	—	4	6	no	—
551	D₄×D₅₃	—	4	12	no	—
552	D₄×D₅₃	—	4	6	no	—
553	D₄×D₅₃	—	4	12	no	—
554	D₄×D₅₃	—	4	12	no	—
555	D₄×D₅₃	—	4	12	no	—
556	D₄×D₅₃	—	4	12	no	—
557	D₄×D₅₃	—	4	12	no	—
558	D₄×D₅₃	—	4	12	no	—
559	#11719945	—	4	12	no	—
560	#11719945	—	4	6	no	—
561	C₂×D₂₁₂	—	4	6	no	—
562	C₂×D₂₁₂	—	4	12	no	—
563	C₂×D₂₁₂	—	4	6	no	—
564	C₂×D₂₁₂	C₂⁴	1	6	yes	—
565	C₂×D₂₁₂	C₂⁴	1	6	yes	—
566	C₂×D₂₁₂	C₂⁴	1	3	yes	—
567	C₂×D₂₁₂	C₂⁴	1	6	yes	—
568	C₂×D₂₁₂	C₂⁴	1	3	yes	—
569	C₂×D₂₁₂	C₂⁴	1	3	yes	—
570	C₂×D₂₁₂	C₂⁴	1	3	yes	—
571	C₂×D₂₁₂	C₂⁴	1	6	yes	—
572	C₂×D₂₁₂	C₂⁴	1	3	yes	complemented
573	C₂×D₂₁₂	C₂⁴	1	6	yes	complemented
574	C₂×C₄×D₅₃	—	2	12	no	—
575	C₂×C₄×D₅₃	—	4	12	no	—
576	C₂×C₄×D₅₃	—	4	6	no	—
577	C₂×C₄×D₅₃	—	4	12	no	—
578	C₂×C₄×D₅₃	C₂⁴	1	3	yes	—
579	C₂×C₄×D₅₃	C₂⁴	1	6	yes	—
580	C₂×C₄×D₅₃	C₂⁴	1	6	yes	—
581	C₂×C₄×D₅₃	C₂⁴	1	3	yes	—
582	C₂×C₄×D₅₃	C₂⁴	1	3	yes	—
583	C₂×C₄×D₅₃	C₂⁴	1	3	yes	—
584	C₂×C₄×D₅₃	C₂⁴	1	6	yes	—
585	C₂×C₄×D₅₃	C₂⁴	1	6	yes	—
586	C₂×C₄×D₅₃	C₂⁴	1	6	yes	complemented
587	C₂×C₄×D₅₃	C₂⁴	1	6	yes	complemented
588	C₂×C₄×D₅₃	C₂⁴	1	6	yes	complemented
589	C₂×Dic₁₀₆	C₂⁴	1	3	yes	complemented
590	C₂×Dic₁₀₆	C₂⁴	1	6	yes	complemented
591	C₄⋊C₄×C₅₃	C₂⁴	1	6	yes	complemented
592	C₄⋊C₄×C₅₃	C₂⁴	1	6	yes	complemented
593	C₄⋊C₄×C₅₃	C₂⁴	1	6	yes	complemented
594	C₂²⋊C₄×C₅₃	C₂⁴	1	6	yes	—
595	C₂²⋊C₄×C₅₃	C₂⁴	1	6	yes	—
596	C₂²⋊C₄×C₅₃	C₂⁴	1	3	yes	—
597	C₂²⋊C₄×C₅₃	C₂⁴	1	6	yes	—
598	C₂²⋊C₄×C₅₃	C₂⁴	1	6	yes	—
599	C₂²⋊C₄×C₅₃	C₂⁴	1	6	yes	—
600	C₂²⋊C₄×C₅₃	C₂⁴	1	3	yes	—
601	C₂²⋊C₄×C₅₃	C₂⁴	1	3	yes	complemented
602	C₂²⋊C₄×C₅₃	C₂⁴	1	3	yes	complemented
603	C₂²⋊C₄×C₅₃	C₂⁴	1	6	yes	complemented
604	C₂²⋊C₄×C₅₃	C₂⁴	1	6	yes	complemented
605	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic, complemented
606	C₄²×C₅₃	C₂⁴	1	3	yes	complemented
607	C₄²×C₅₃	C₂⁴	1	2	yes	complemented
608	C₂²⋊Dic₅₃	C₂⁴	1	6	yes	—
609	C₂²⋊Dic₅₃	C₂⁴	1	6	yes	—
610	C₂²⋊Dic₅₃	C₂⁴	1	3	yes	—
611	C₂²⋊Dic₅₃	C₂⁴	1	6	yes	—
612	C₂²⋊Dic₅₃	C₂⁴	1	6	yes	—
613	C₂²⋊Dic₅₃	C₂⁴	1	6	yes	—
614	C₂²⋊Dic₅₃	C₂⁴	1	3	yes	—
615	C₂²⋊Dic₅₃	C₂⁴	1	3	yes	complemented
616	C₂²⋊Dic₅₃	C₂⁴	1	3	yes	complemented
617	C₂²⋊Dic₅₃	C₂⁴	1	6	yes	complemented
618	C₂²⋊Dic₅₃	C₂⁴	1	6	yes	complemented
619	#11719921	C₂⁴	1	6	yes	—
620	#11719921	C₂⁴	1	6	yes	—
621	#11719921	C₂⁴	1	6	yes	—
622	#11719921	C₂⁴	1	6	yes	—
623	#11719921	C₂⁴	1	6	yes	—
624	#11719921	C₂⁴	1	6	yes	—
625	#11719921	C₂⁴	1	6	yes	—
626	#11719921	C₂⁴	1	6	yes	—
627	#11719921	C₂⁴	1	6	yes	—
628	#11719921	C₂⁴	1	6	yes	—
629	#11719921	C₂⁴	1	6	yes	—
630	#11719921	C₂⁴	1	6	yes	—
631	#11719921	C₂⁴	1	6	yes	complemented
632	#11719921	C₂⁴	1	6	yes	complemented
633	#11719921	C₂⁴	1	6	yes	complemented
634	#11719921	C₂⁴	1	6	yes	complemented
635	#11719921	C₂⁴	1	6	yes	complemented
636	#11719921	C₂⁴	1	6	yes	complemented
637	C₄⋊Dic₅₃	C₂⁴	1	6	yes	complemented
638	C₄⋊Dic₅₃	C₂⁴	1	6	yes	complemented
639	C₄⋊Dic₅₃	C₂⁴	1	6	yes	complemented
640	#11719919	C₂⁴	1	6	yes	complemented
641	#11719919	C₂⁴	1	6	yes	complemented
642	#11719919	C₂⁴	1	6	yes	complemented
643	#11719919	C₂⁴	1	6	yes	complemented
644	#11719919	C₂⁴	1	6	yes	complemented
645	#11719919	C₂⁴	1	6	yes	complemented
646	C₄×Dic₅₃	C₂⁴	1	3	yes	complemented
647	C₄×Dic₅₃	C₂⁴	1	6	yes	complemented
648	C₄×Dic₅₃	C₂⁴	1	3	yes	complemented
649	C₄×Dic₅₃	C₂⁴	1	6	yes	complemented
650	C₂³×C₅₃	—	2	12	no	—
651	C₂³×C₅₃	—	2	6	no	—
652	C₂³×C₅₃	—	2	6	no	—
653	C₂³×C₅₃	—	4	3	no	—
654	C₂³×C₅₃	—	4	6	no	—
655	C₂³×C₅₃	—	4	3	no	—
656	C₂³×C₅₃	—	4	6	no	—
657	C₂³×C₅₃	—	4	3	no	—
658	C₂³×C₅₃	—	4	16	no	—
659	C₂³×C₅₃	C₂⁵	1	3	yes	—
660	C₂³×C₅₃	C₂⁵	1	3	yes	—
661	C₂³×C₅₃	C₂⁵	1	3	yes	—
662	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
663	C₂³×C₅₃	C₂⁵	1	3	yes	—
664	C₂²×D₅₃	—	2	12	no	—
665	C₂²×D₅₃	—	2	6	no	—
666	C₂²×D₅₃	—	2	12	no	—
667	C₂²×D₅₃	—	2	6	no	—
668	C₂²×D₅₃	—	2	12	no	—
669	C₂²×D₅₃	—	2	6	no	—
670	C₂²×D₅₃	—	2	12	no	—
671	C₂²×D₅₃	—	2	12	no	—
672	C₂²×D₅₃	—	2	6	no	—
673	C₂²×D₅₃	—	2	12	no	—
674	C₂²×D₅₃	—	2	6	no	—
675	C₂²×D₅₃	—	2	6	no	—
676	C₂²×D₅₃	—	2	6	no	—
677	C₂²×D₅₃	—	2	6	no	—
678	C₂²×D₅₃	—	2	12	no	—
679	C₂²×D₅₃	—	2	6	no	—
680	C₂²×D₅₃	—	2	6	no	—
681	C₂²×D₅₃	—	4	3	no	—
682	C₂²×D₅₃	—	4	6	no	—
683	C₂²×D₅₃	—	4	6	no	—
684	C₂²×D₅₃	—	4	6	no	—
685	C₂²×D₅₃	—	4	6	no	—
686	C₂²×D₅₃	—	4	6	no	—
687	C₂²×D₅₃	—	4	3	no	—
688	C₂²×D₅₃	—	4	48	no	—
689	C₂²×D₅₃	—	4	6	no	—
690	C₂²×D₅₃	—	4	3	no	—
691	C₂²×D₅₃	—	4	6	no	—
692	C₂²×D₅₃	—	4	6	no	—
693	C₂²×D₅₃	—	4	6	no	—
694	C₂²×D₅₃	—	4	48	no	—
695	C₂²×D₅₃	—	4	16	no	—
696	C₂²×D₅₃	—	4	48	no	—
697	C₂²×D₅₃	—	4	48	no	—
698	C₂²×D₅₃	—	4	16	no	—
699	C₂²×D₅₃	—	8	24	no	—
700	C₂²×D₅₃	—	8	8	no	—
701	C₂²×D₅₃	H(5,𝔽₂)	1	12	yes	—
702	C₂²×D₅₃	C₂⁵	1	3	yes	—
703	C₂²×D₅₃	C₂⁵	1	3	yes	—
704	C₂²×D₅₃	C₂⁵	1	3	yes	—
705	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
706	C₂²×D₅₃	C₂⁵	1	3	yes	—
707	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
708	Q₈×C₅₃	—	4	3	no	—
709	D₄×C₅₃	—	2	12	no	—
710	D₄×C₅₃	—	2	12	no	—
711	D₄×C₅₃	—	4	3	no	—
712	D₄×C₅₃	—	4	3	no	—
713	D₄×C₅₃	—	4	6	no	—
714	D₄×C₅₃	—	4	3	no	—
715	D₄×C₅₃	—	4	3	no	—
716	D₄×C₅₃	—	4	6	no	—
717	D₄×C₅₃	—	4	6	no	—
718	D₄×C₅₃	—	4	3	no	—
719	C₂×C₄×C₅₃	—	2	6	no	—
720	C₂×C₄×C₅₃	—	4	6	no	—
721	C₂×C₄×C₅₃	—	4	3	no	—
722	C₂×C₄×C₅₃	—	4	6	no	—
723	C₂×C₄×C₅₃	C₂⁵	1	6	yes	—
724	C₂×C₄×C₅₃	C₂⁵	1	3	yes	—
725	C₂×C₄×C₅₃	C₂⁵	1	3	yes	—
726	C₂×C₄×C₅₃	C₂⁵	1	6	yes	—
727	C₂²⋊D₅₃	—	2	12	no	—
728	C₂²⋊D₅₃	—	2	12	no	—
729	C₂²⋊D₅₃	—	2	12	no	—
730	C₂²⋊D₅₃	—	2	12	no	—
731	C₂²⋊D₅₃	—	4	6	no	—
732	C₂²⋊D₅₃	—	4	3	no	—
733	C₂²⋊D₅₃	—	4	3	no	—
734	C₂²⋊D₅₃	—	4	3	no	—
735	C₂²⋊D₅₃	—	4	3	no	—
736	C₂²⋊D₅₃	—	4	6	no	—
737	C₂²⋊D₅₃	—	4	6	no	—
738	C₂²⋊D₅₃	—	4	3	no	—
739	C₂²⋊D₅₃	—	4	3	no	—
740	C₂²⋊D₅₃	—	4	3	no	—
741	C₂²⋊D₅₃	—	4	3	no	—
742	C₂²⋊D₅₃	—	4	6	no	—
743	C₂²⋊D₅₃	—	4	6	no	—
744	C₂²⋊D₅₃	—	4	6	no	—
745	C₂²⋊D₅₃	—	4	6	no	—
746	C₂×Dic₅₃	—	2	6	no	—
747	C₂×Dic₅₃	—	4	6	no	—
748	C₂×Dic₅₃	—	4	6	no	—
749	C₂×Dic₅₃	—	4	3	no	—
750	C₂×Dic₅₃	C₂⁵	1	6	yes	—
751	C₂×Dic₅₃	C₂⁵	1	3	yes	—
752	C₂×Dic₅₃	C₂⁵	1	3	yes	—
753	C₂×Dic₅₃	C₂⁵	1	6	yes	—
754	D₂₁₂	—	2	12	no	—
755	D₂₁₂	—	2	12	no	—
756	D₂₁₂	—	4	3	no	—
757	D₂₁₂	—	4	3	no	—
758	D₂₁₂	—	4	6	no	—
759	D₂₁₂	—	4	3	no	—
760	D₂₁₂	—	4	3	no	—
761	D₂₁₂	—	4	6	no	—
762	D₂₁₂	—	4	6	no	—
763	D₂₁₂	—	4	3	no	—
764	C₄×D₅₃	—	2	6	no	—
765	C₄×D₅₃	—	2	6	no	—
766	C₄×D₅₃	—	2	6	no	—
767	C₄×D₅₃	—	2	6	no	—
768	C₄×D₅₃	—	2	12	no	—
769	C₄×D₅₃	—	2	12	no	—
770	C₄×D₅₃	—	4	6	no	—
771	C₄×D₅₃	—	4	6	no	—
772	C₄×D₅₃	—	4	6	no	—
773	C₄×D₅₃	—	4	6	no	—
774	C₄×D₅₃	—	4	6	no	—
775	Dic₁₀₆	—	4	6	no	—
776	Dic₁₀₆	—	4	3	no	—
777	C₂×#3532	—	53	1	no	maximal, Sylow
778	C₂²×C₅₃	—	2	6	no	—
779	C₂²×C₅₃	—	2	6	no	—
780	C₂²×C₅₃	—	2	3	no	—
781	C₂²×C₅₃	—	2	6	no	—
782	C₂²×C₅₃	—	2	3	no	—
783	C₂²×C₅₃	—	2	3	no	—
784	C₂²×C₅₃	—	2	6	no	—
785	C₂²×C₅₃	—	2	3	no	—
786	C₂²×C₅₃	—	4	12	no	—
787	C₂²×C₅₃	—	4	12	no	—
788	C₂²×C₅₃	—	4	4	no	—
789	C₂²×C₅₃	—	8	6	no	—
790	C₂²×C₅₃	—	8	2	no	—
791	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	6	yes	—
792	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
793	C₂×D₅₃	—	2	6	no	—
794	C₂×D₅₃	—	2	24	no	—
795	C₂×D₅₃	—	2	6	no	—
796	C₂×D₅₃	—	2	3	no	—
797	C₂×D₅₃	—	2	6	no	—
798	C₂×D₅₃	—	2	3	no	—
799	C₂×D₅₃	—	2	3	no	—
800	C₂×D₅₃	—	2	3	no	—
801	C₂×D₅₃	—	2	6	no	—
802	C₂×D₅₃	—	4	12	no	—
803	C₂×D₅₃	—	4	24	no	—
804	C₂×D₅₃	—	4	12	no	—
805	C₂×D₅₃	—	4	12	no	—
806	C₂×D₅₃	—	4	12	no	—
807	C₂×D₅₃	—	4	12	no	—
808	C₂×D₅₃	—	4	12	no	—
809	C₂×D₅₃	—	4	4	no	—
810	C₂×D₅₃	—	4	12	no	—
811	C₂×D₅₃	—	4	12	no	—
812	C₂×D₅₃	—	8	6	no	—
813	C₂×D₅₃	—	8	6	no	—
814	C₂×D₅₃	—	8	6	no	—
815	C₂×D₅₃	—	8	6	no	—
816	C₂×D₅₃	C₂×H(5,𝔽₂)	1	6	yes	—
817	C₂×D₅₃	C₂×H(5,𝔽₂)	1	6	yes	—
818	C₄×C₅₃	—	2	3	no	—
819	C₄×C₅₃	—	2	6	no	—
820	C₄×C₅₃	—	2	3	no	—
821	C₄×C₅₃	—	2	6	no	—
822	Dic₅₃	—	2	3	no	—
823	Dic₅₃	—	2	6	no	—
824	Dic₅₃	—	2	3	no	—
825	Dic₅₃	—	2	6	no	—
826	#3532	—	53	1	no	—
827	#3532	—	53	3	no	—
828	#3532	—	53	3	no	—
829	#3532	—	53	6	no	—
830	#3532	—	53	3	no	—
831	#3532	—	53	6	no	—
832	#3532	—	53	3	no	—
833	#3532	—	53	3	no	—
834	#3532	—	53	3	no	—
835	#3532	D₅₃	1	1	yes	characteristic, direct product factor
836	C₂×H(3,𝔽₄)	—	53	1	no	—
837	C₂×#560	—	53	3	no	—
838	C₂×#551	—	53	3	no	—
839	C₂×#546	—	53	6	no	—
840	C₂×D₄²	—	53	3	no	—
841	C₂×#538	—	53	6	no	—
842	C₂×#535	—	53	3	no	—
843	C₂×#534	—	53	3	no	—
844	C₂²×#120	—	53	3	no	—
845	C₂×C₅₃	—	2	6	no	—
846	C₂×C₅₃	—	4	3	no	—
847	C₂×C₅₃	—	4	1	no	—
848	C₂×C₅₃	—	4	3	no	—
849	C₂×C₅₃	—	4	3	no	—
850	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	3	yes	—
851	D₅₃	—	2	6	no	—
852	D₅₃	—	4	3	no	—
853	D₅₃	—	4	1	no	—
854	D₅₃	—	4	3	no	—
855	D₅₃	—	4	3	no	—
856	D₅₃	#3532	1	4	yes	direct product factor
857	C₂⁶	—	53	1	no	—
858	C₂²×#41	—	53	3	no	—
859	C₂³×D₄	—	53	3	no	—
860	C₂³×D₄	—	53	6	no	—
861	C₂³×D₄	—	53	3	no	—
862	H(3,𝔽₄)	—	53	6	no	—
863	H(3,𝔽₄)	—	53	3	no	—
864	H(3,𝔽₄)	—	53	3	no	—
865	H(3,𝔽₄)	—	53	3	no	—
866	H(3,𝔽₄)	C₂×D₅₃	1	1	yes	characteristic, complemented
867	#560	—	53	3	no	—
868	#560	—	53	6	no	—
869	#560	—	53	6	no	—
870	#560	—	53	3	no	—
871	#560	—	53	6	no	—
872	#560	—	53	6	no	—
873	#560	—	53	6	no	—
874	#560	—	53	3	no	—
875	#560	—	53	6	no	—
876	#560	C₂×D₅₃	1	3	yes	complemented
877	#551	—	53	6	no	—
878	#551	—	53	3	no	—
879	#551	—	53	6	no	—
880	#551	—	53	3	no	—
881	#551	—	53	6	no	—
882	#551	—	53	3	no	—
883	#551	—	53	6	no	—
884	#551	—	53	6	no	—
885	#551	—	53	6	no	—
886	#551	C₂×D₅₃	1	3	yes	complemented
887	#546	—	53	6	no	—
888	#546	—	53	6	no	—
889	#546	—	53	6	no	—
890	#546	—	53	6	no	—
891	#546	—	53	6	no	—
892	#546	—	53	6	no	—
893	#546	—	53	6	no	—
894	#546	—	53	6	no	—
895	#546	—	53	6	no	—
896	#546	—	53	6	no	—
897	#546	—	53	6	no	—
898	#546	—	53	6	no	—
899	#546	—	53	6	no	—
900	#546	—	53	6	no	—
901	#546	—	53	6	no	—
902	#546	C₂×D₅₃	1	6	yes	complemented
903	D₄²	—	53	6	no	—
904	D₄²	—	53	6	no	—
905	D₄²	—	53	3	no	—
906	D₄²	—	53	6	no	—
907	D₄²	—	53	6	no	—
908	D₄²	—	53	3	no	—
909	D₄²	—	53	6	no	—
910	D₄²	—	53	3	no	—
911	D₄²	—	53	6	no	—
912	D₄²	C₂×D₅₃	1	3	yes	complemented
913	#538	—	53	6	no	—
914	#538	—	53	6	no	—
915	#538	—	53	6	no	—
916	#538	—	53	6	no	—
917	#538	—	53	6	no	—
918	#538	—	53	6	no	—
919	#538	—	53	6	no	—
920	#538	—	53	6	no	—
921	#538	—	53	6	no	—
922	#538	—	53	6	no	—
923	#538	—	53	6	no	—
924	#538	—	53	6	no	—
925	#538	—	53	6	no	—
926	#538	—	53	6	no	—
927	#538	—	53	6	no	—
928	#538	C₂×D₅₃	1	6	yes	complemented
929	#535	—	53	3	no	—
930	#535	—	53	3	no	—
931	#535	—	53	3	no	—
932	#535	—	53	3	no	—
933	#535	—	53	3	no	—
934	#535	—	53	3	no	—
935	#535	—	53	6	no	—
936	#535	—	53	6	no	—
937	#535	—	53	6	no	—
938	#535	—	53	6	no	—
939	#535	—	53	3	no	—
940	#535	C₂×D₅₃	1	3	yes	complemented
941	#534	—	53	3	no	—
942	#534	—	53	3	no	—
943	#534	—	53	6	no	—
944	#534	—	53	3	no	—
945	#534	—	53	3	no	—
946	#534	—	53	6	no	—
947	#534	—	53	6	no	—
948	#534	—	53	6	no	—
949	#534	—	53	3	no	—
950	#534	—	53	3	no	—
951	#534	—	53	3	no	—
952	#534	C₂×D₅₃	1	3	yes	complemented
953	C₂×#127	—	53	1	no	—
954	C₂×#127	—	53	3	no	—
955	C₂×#126	—	53	2	no	—
956	C₂×#126	—	53	6	no	—
957	C₂×#124	—	53	3	no	—
958	C₂×#124	—	53	3	no	—
959	C₂×#124	—	53	6	no	—
960	C₂×#123	—	53	3	no	—
961	C₂×#123	—	53	6	no	—
962	C₂×#123	—	53	3	no	—
963	C₂×#123	—	53	6	no	—
964	C₂×C₂²⋊Q₈	—	53	6	no	—
965	C₂×#121	—	53	6	no	—
966	C₂×#121	—	53	6	no	—
967	C₂×#121	—	53	6	no	—
968	C₂×#121	—	53	6	no	—
969	C₂×#121	—	53	6	no	—
970	C₂×#120	—	53	3	no	—
971	C₂×#120	—	53	3	no	—
972	C₂×#120	—	53	6	no	—
973	C₂×#120	—	53	3	no	—
974	C₂×#120	—	53	3	no	—
975	C₂×#120	—	53	6	no	—
976	C₂×#120	—	53	6	no	—
977	C₂×#120	—	53	3	no	—
978	C₂×#120	—	53	3	no	—
979	C₂×#120	—	53	3	no	—
980	C₂×#120	—	53	6	no	—
981	C₂×#120	—	53	6	no	—
982	C₂×#120	—	53	3	no	—
983	C₂×#120	—	53	3	no	—
984	C₂×#120	—	53	3	no	—
985	C₂×#120	—	53	1	no	—
986	C₂×#120	—	53	3	no	—
987	C₂×#120	—	53	6	no	—
988	C₂×#120	—	53	6	no	—
989	C₂×#120	—	53	3	no	—
990	C₂×#120	C₂×D₅₃	1	3	yes	complemented
991	C₂×C₄×D₄	—	53	6	no	—
992	C₂×C₄×D₄	—	53	6	no	—
993	C₂×#117	—	53	3	no	—
994	C₂²×C₂²⋊C₄	—	53	3	no	—
995	C₂²×C₂²⋊C₄	—	53	6	no	—
996	C₂²×C₂²⋊C₄	—	53	3	no	—
997	C₅₃	C₂×#3532	1	1	yes	characteristic, complemented, Sylow
998	C₂⁵	—	53	3	no	—
999	C₂⁵	—	53	3	no	—
1000	C₂⁵	—	53	3	no	—
1001	C₂⁵	—	53	1	no	—
1002	C₂⁵	—	53	1	no	—
1003	C₂⁵	—	53	3	no	—
1004	C₂⁵	—	53	3	no	—
1005	C₂⁵	—	53	1	no	—
1006	C₂⁵	—	212	12	no	—
1007	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic, complemented
1008	C₂×#41	—	53	3	no	—
1009	C₂×#41	—	53	6	no	—
1010	C₂×#41	—	53	3	no	—
1011	C₂×#41	—	53	3	no	—
1012	C₂×#41	—	53	6	no	—
1013	C₂×#41	—	212	12	no	—
1014	C₂×#41	C₂²×D₅₃	1	3	yes	complemented
1015	C₂²×Q₈	—	53	3	no	—
1016	C₂²×D₄	—	53	3	no	—
1017	C₂²×D₄	—	53	3	no	—
1018	C₂²×D₄	—	53	6	no	—
1019	C₂²×D₄	—	53	6	no	—
1020	C₂²×D₄	—	53	3	no	—
1021	C₂²×D₄	—	53	3	no	—
1022	C₂²×D₄	—	53	6	no	—
1023	C₂²×D₄	—	53	6	no	—
1024	C₂²×D₄	—	53	3	no	—
1025	C₂²×D₄	—	53	6	no	—
1026	C₂²×D₄	—	53	3	no	—
1027	C₂²×D₄	—	53	3	no	—
1028	C₂²×D₄	—	53	6	no	—
1029	C₂²×D₄	—	53	3	no	—
1030	C₂²×D₄	—	53	3	no	—
1031	C₂²×D₄	—	53	3	no	—
1032	C₂²×D₄	—	53	3	no	—
1033	C₂²×D₄	—	53	3	no	—
1034	C₂²×D₄	—	53	6	no	—
1035	C₂²×D₄	—	53	6	no	—
1036	C₂²×D₄	—	53	6	no	—
1037	C₂²×D₄	—	53	6	no	—
1038	C₂²×D₄	—	53	6	no	—
1039	C₂²×D₄	—	53	3	no	—
1040	C₂²×D₄	—	53	6	no	—
1041	C₂²×D₄	—	53	6	no	—
1042	C₂²×D₄	—	53	3	no	—
1043	C₂²×D₄	—	53	6	no	—
1044	C₂²×D₄	—	53	3	no	—
1045	C₂²×D₄	—	212	12	no	—
1046	C₂²×D₄	—	212	12	no	—
1047	C₂²×D₄	—	212	24	no	—
1048	C₂²×D₄	C₂²×D₅₃	1	3	yes	complemented
1049	C₂²×D₄	C₂²×D₅₃	1	6	yes	complemented
1050	C₂²×D₄	C₂²×D₅₃	1	3	yes	complemented
1051	C₂³×C₄	—	53	3	no	—
1052	C₂³×C₄	—	53	6	no	—
1053	C₂³×C₄	—	53	6	no	—
1054	C₂³×C₄	—	53	3	no	—
1055	#127	—	53	3	no	—
1056	#127	—	53	6	no	—
1057	#127	—	53	3	no	—
1058	#127	—	53	3	no	—
1059	#127	—	53	6	no	—
1060	#127	—	53	3	no	—
1061	#127	—	53	1	no	—
1062	#127	—	53	3	no	—
1063	#127	C₂²×D₅₃	1	1	yes	characteristic, complemented
1064	#127	C₂²×D₅₃	1	3	yes	complemented
1065	#126	—	53	6	no	—
1066	#126	—	53	6	no	—
1067	#126	—	53	6	no	—
1068	#126	—	53	6	no	—
1069	#126	—	53	6	no	—
1070	#126	—	53	6	no	—
1071	#126	—	53	6	no	—
1072	#126	—	53	6	no	—
1073	#126	—	53	2	no	—
1074	#126	—	53	6	no	—
1075	#126	C₂²×D₅₃	1	2	yes	complemented
1076	#126	C₂²×D₅₃	1	6	yes	complemented
1077	#124	—	53	3	no	—
1078	#124	—	53	3	no	—
1079	#124	—	53	6	no	—
1080	#124	—	53	3	no	—
1081	#124	—	53	3	no	—
1082	#124	—	53	6	no	—
1083	#124	—	53	6	no	—
1084	#124	—	53	6	no	—
1085	#124	—	53	6	no	—
1086	#124	—	53	6	no	—
1087	#124	—	53	6	no	—
1088	#124	—	53	6	no	—
1089	#124	—	53	6	no	—
1090	#124	—	53	6	no	—
1091	#124	—	53	3	no	—
1092	#124	—	53	3	no	—
1093	#124	—	53	6	no	—
1094	#124	C₂²×D₅₃	1	3	yes	complemented
1095	#124	C₂²×D₅₃	1	3	yes	complemented
1096	#124	C₂²×D₅₃	1	6	yes	complemented
1097	#123	—	53	3	no	—
1098	#123	—	53	6	no	—
1099	#123	—	53	3	no	—
1100	#123	—	53	6	no	—
1101	#123	—	53	6	no	—
1102	#123	—	53	3	no	—
1103	#123	—	53	3	no	—
1104	#123	—	53	6	no	—
1105	#123	—	53	6	no	—
1106	#123	—	53	6	no	—
1107	#123	—	53	6	no	—
1108	#123	—	53	6	no	—
1109	#123	—	53	6	no	—
1110	#123	—	53	6	no	—
1111	#123	—	53	6	no	—
1112	#123	—	53	6	no	—
1113	#123	—	53	6	no	—
1114	#123	—	53	6	no	—
1115	#123	—	53	6	no	—
1116	#123	—	53	3	no	—
1117	#123	—	53	6	no	—
1118	#123	—	53	6	no	—
1119	#123	—	53	3	no	—
1120	#123	—	53	6	no	—
1121	#123	C₂²×D₅₃	1	3	yes	complemented
1122	#123	C₂²×D₅₃	1	3	yes	complemented
1123	#123	C₂²×D₅₃	1	6	yes	complemented
1124	#123	C₂²×D₅₃	1	6	yes	complemented
1125	C₂²⋊Q₈	—	53	6	no	—
1126	C₂²⋊Q₈	—	53	6	no	—
1127	C₂²⋊Q₈	—	53	6	no	—
1128	C₂²⋊Q₈	—	53	6	no	—
1129	C₂²⋊Q₈	—	53	6	no	—
1130	C₂²⋊Q₈	—	53	6	no	—
1131	C₂²⋊Q₈	—	53	6	no	—
1132	C₂²⋊Q₈	C₂²×D₅₃	1	6	yes	complemented
1133	#121	—	53	6	no	—
1134	#121	—	53	6	no	—
1135	#121	—	53	6	no	—
1136	#121	—	53	6	no	—
1137	#121	—	53	6	no	—
1138	#121	—	53	6	no	—
1139	#121	—	53	6	no	—
1140	#121	—	53	6	no	—
1141	#121	—	53	6	no	—
1142	#121	—	53	6	no	—
1143	#121	—	53	6	no	—
1144	#121	—	53	6	no	—
1145	#121	—	53	6	no	—
1146	#121	—	53	6	no	—
1147	#121	—	53	6	no	—
1148	#121	—	53	6	no	—
1149	#121	—	53	6	no	—
1150	#121	—	53	6	no	—
1151	#121	—	53	6	no	—
1152	#121	—	53	6	no	—
1153	#121	—	53	6	no	—
1154	#121	—	53	6	no	—
1155	#121	—	53	6	no	—
1156	#121	—	53	6	no	—
1157	#121	—	53	6	no	—
1158	#121	—	53	6	no	—
1159	#121	—	53	6	no	—
1160	#121	—	53	6	no	—
1161	#121	—	53	6	no	—
1162	#121	—	53	6	no	—
1163	#121	—	53	6	no	—
1164	#121	—	53	6	no	—
1165	#121	—	53	6	no	—
1166	#121	—	53	6	no	—
1167	#121	—	53	6	no	—
1168	#121	C₂²×D₅₃	1	6	yes	complemented
1169	#121	C₂²×D₅₃	1	6	yes	complemented
1170	#121	C₂²×D₅₃	1	6	yes	complemented
1171	#121	C₂²×D₅₃	1	6	yes	complemented
1172	#121	C₂²×D₅₃	1	6	yes	complemented
1173	#120	—	53	6	no	—
1174	#120	—	53	6	no	—
1175	#120	—	53	3	no	—
1176	#120	—	53	3	no	—
1177	#120	—	53	3	no	—
1178	#120	—	53	3	no	—
1179	#120	—	53	6	no	—
1180	#120	—	53	1	no	—
1181	#120	—	53	3	no	—
1182	#120	—	53	6	no	—
1183	#120	—	53	6	no	—
1184	#120	—	53	6	no	—
1185	#120	—	53	6	no	—
1186	#120	—	53	6	no	—
1187	#120	—	53	6	no	—
1188	#120	—	53	6	no	—
1189	#120	—	53	3	no	—
1190	#120	—	53	6	no	—
1191	#120	—	53	3	no	—
1192	#120	—	53	3	no	—
1193	#120	—	53	6	no	—
1194	#120	—	53	6	no	—
1195	#120	—	53	3	no	—
1196	#120	—	53	3	no	—
1197	#120	—	53	3	no	—
1198	#120	—	53	6	no	—
1199	#120	—	53	6	no	—
1200	#120	—	53	6	no	—
1201	#120	—	53	6	no	—
1202	#120	—	53	6	no	—
1203	#120	—	53	6	no	—
1204	#120	—	53	6	no	—
1205	#120	—	53	6	no	—
1206	#120	—	53	6	no	—
1207	#120	—	53	6	no	—
1208	#120	—	53	3	no	—
1209	#120	—	53	6	no	—
1210	#120	—	53	3	no	—
1211	#120	—	53	6	no	—
1212	#120	—	53	6	no	—
1213	#120	—	53	3	no	—
1214	#120	—	53	3	no	—
1215	#120	—	53	6	no	—
1216	#120	—	53	6	no	—
1217	#120	—	53	3	no	—
1218	#120	—	53	6	no	—
1219	#120	—	53	3	no	—
1220	#120	—	53	6	no	—
1221	#120	—	53	6	no	—
1222	#120	C₂²×D₅₃	1	3	yes	—
1223	#120	C₂²×D₅₃	1	6	yes	complemented
1224	#120	C₂²×D₅₃	1	6	yes	complemented
1225	#120	C₂²×D₅₃	1	3	yes	complemented
1226	#120	C₂²×D₅₃	1	3	yes	complemented
1227	#120	C₂²×D₅₃	1	3	yes	complemented
1228	#120	C₂²×D₅₃	1	6	yes	complemented
1229	#120	C₂²×D₅₃	1	1	yes	characteristic, complemented
1230	#120	C₂²×D₅₃	1	3	yes	complemented
1231	C₄×D₄	—	53	6	no	—
1232	C₄×D₄	—	53	6	no	—
1233	C₄×D₄	—	53	6	no	—
1234	C₄×D₄	—	53	6	no	—
1235	C₄×D₄	—	53	6	no	—
1236	C₄×D₄	—	53	6	no	—
1237	C₄×D₄	—	53	6	no	—
1238	C₄×D₄	—	53	6	no	—
1239	C₄×D₄	—	53	6	no	—
1240	C₄×D₄	—	53	6	no	—
1241	C₄×D₄	—	53	6	no	—
1242	C₄×D₄	—	53	6	no	—
1243	C₄×D₄	—	53	6	no	—
1244	C₄×D₄	—	53	6	no	—
1245	C₄×D₄	C₂²×D₅₃	1	6	yes	complemented
1246	C₄×D₄	C₂²×D₅₃	1	6	yes	complemented
1247	#117	—	53	3	no	—
1248	#117	—	53	6	no	—
1249	#117	—	53	6	no	—
1250	#117	—	53	3	no	—
1251	#117	—	53	3	no	—
1252	#117	C₂²×D₅₃	1	3	yes	complemented
1253	C₂×C₄⋊C₄	—	53	6	no	—
1254	C₂×C₄⋊C₄	—	53	6	no	—
1255	C₂×C₄⋊C₄	—	53	6	no	—
1256	C₂×C₂²⋊C₄	—	53	3	no	—
1257	C₂×C₂²⋊C₄	—	53	6	no	—
1258	C₂×C₂²⋊C₄	—	53	3	no	—
1259	C₂×C₂²⋊C₄	—	53	6	no	—
1260	C₂×C₂²⋊C₄	—	53	6	no	—
1261	C₂×C₂²⋊C₄	—	53	6	no	—
1262	C₂×C₂²⋊C₄	—	53	6	no	—
1263	C₂×C₂²⋊C₄	—	53	6	no	—
1264	C₂×C₂²⋊C₄	—	53	6	no	—
1265	C₂×C₂²⋊C₄	—	53	3	no	—
1266	C₂×C₂²⋊C₄	—	53	6	no	—
1267	C₂×C₂²⋊C₄	—	53	6	no	—
1268	C₂×C₂²⋊C₄	—	53	6	no	—
1269	C₂×C₂²⋊C₄	—	53	3	no	—
1270	C₂×C₂²⋊C₄	—	53	3	no	—
1271	C₂×C₂²⋊C₄	—	53	6	no	—
1272	C₂×C₂²⋊C₄	—	53	3	no	—
1273	C₂×C₂²⋊C₄	—	53	6	no	—
1274	C₂×C₂²⋊C₄	—	53	6	no	—
1275	C₂×C₂²⋊C₄	—	53	6	no	—
1276	C₂×C₂²⋊C₄	—	53	6	no	—
1277	C₂×C₂²⋊C₄	—	53	6	no	—
1278	C₂×C₂²⋊C₄	—	53	3	no	—
1279	C₂×C₂²⋊C₄	—	53	3	no	—
1280	C₂×C₂²⋊C₄	—	53	3	no	—
1281	C₂×C₂²⋊C₄	—	53	3	no	—
1282	C₂×C₂²⋊C₄	—	53	6	no	—
1283	C₂×C₂²⋊C₄	—	53	6	no	—
1284	C₂×C₂²⋊C₄	C₂²×D₅₃	1	3	yes	complemented
1285	C₂×C₂²⋊C₄	C₂²×D₅₃	1	6	yes	complemented
1286	C₂×C₂²⋊C₄	C₂²×D₅₃	1	3	yes	complemented
1287	C₂×C₄²	—	53	1	no	—
1288	C₂×C₄²	—	53	3	no	—
1289	C₂×C₄²	—	53	2	no	—
1290	C₂⁴	—	4	6	no	—
1291	C₂⁴	—	53	3	no	—
1292	C₂⁴	—	53	3	no	—
1293	C₂⁴	—	53	1	no	—
1294	C₂⁴	—	53	3	no	—
1295	C₂⁴	—	53	3	no	—
1296	C₂⁴	—	53	3	no	—
1297	C₂⁴	—	53	6	no	—
1298	C₂⁴	—	53	3	no	—
1299	C₂⁴	—	53	3	no	—
1300	C₂⁴	—	53	3	no	—
1301	C₂⁴	—	53	3	no	—
1302	C₂⁴	—	53	3	no	—
1303	C₂⁴	—	53	3	no	—
1304	C₂⁴	—	53	3	no	—
1305	C₂⁴	—	53	3	no	—
1306	C₂⁴	—	106	12	no	—
1307	C₂⁴	—	106	24	no	—
1308	C₂⁴	—	106	12	no	—
1309	C₂⁴	—	212	12	no	—
1310	C₂⁴	—	212	6	no	—
1311	C₂⁴	—	212	12	no	—
1312	C₂⁴	—	212	6	no	—
1313	C₂⁴	—	212	6	no	—
1314	C₂⁴	—	212	12	no	—
1315	C₂⁴	—	212	6	no	—
1316	C₂⁴	—	212	6	no	—
1317	C₂⁴	—	212	12	no	—
1318	C₂⁴	—	212	6	no	—
1319	C₂⁴	—	212	64	no	—
1320	C₂⁴	C₂³×D₅₃	1	3	yes	—
1321	C₂⁴	C₂³×D₅₃	1	3	yes	—
1322	C₂⁴	C₂³×D₅₃	1	3	yes	—
1323	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1324	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic, complemented
1325	#41	—	4	6	no	—
1326	#41	—	212	6	no	—
1327	#41	—	212	12	no	—
1328	#41	—	212	12	no	—
1329	#41	—	212	6	no	—
1330	#41	—	212	6	no	—
1331	C₂×Q₈	—	53	6	no	—
1332	C₂×Q₈	—	53	3	no	—
1333	C₂×Q₈	—	212	6	no	—
1334	C₂×Q₈	C₂³×D₅₃	1	3	yes	complemented
1335	C₂×D₄	—	4	6	no	—
1336	C₂×D₄	—	4	12	no	—
1337	C₂×D₄	—	4	6	no	—
1338	C₂×D₄	—	53	6	no	—
1339	C₂×D₄	—	53	6	no	—
1340	C₂×D₄	—	53	6	no	—
1341	C₂×D₄	—	53	6	no	—
1342	C₂×D₄	—	53	3	no	—
1343	C₂×D₄	—	53	3	no	—
1344	C₂×D₄	—	53	6	no	—
1345	C₂×D₄	—	53	6	no	—
1346	C₂×D₄	—	53	3	no	—
1347	C₂×D₄	—	53	3	no	—
1348	C₂×D₄	—	53	3	no	—
1349	C₂×D₄	—	53	3	no	—
1350	C₂×D₄	—	53	6	no	—
1351	C₂×D₄	—	53	6	no	—
1352	C₂×D₄	—	53	3	no	—
1353	C₂×D₄	—	53	3	no	—
1354	C₂×D₄	—	53	6	no	—
1355	C₂×D₄	—	53	6	no	—
1356	C₂×D₄	—	53	6	no	—
1357	C₂×D₄	—	53	6	no	—
1358	C₂×D₄	—	53	6	no	—
1359	C₂×D₄	—	53	3	no	—
1360	C₂×D₄	—	53	6	no	—
1361	C₂×D₄	—	53	3	no	—
1362	C₂×D₄	—	53	3	no	—
1363	C₂×D₄	—	53	6	no	—
1364	C₂×D₄	—	53	3	no	—
1365	C₂×D₄	—	53	3	no	—
1366	C₂×D₄	—	53	6	no	—
1367	C₂×D₄	—	106	24	no	—
1368	C₂×D₄	—	106	24	no	—
1369	C₂×D₄	—	212	6	no	—
1370	C₂×D₄	—	212	12	no	—
1371	C₂×D₄	—	212	6	no	—
1372	C₂×D₄	—	212	6	no	—
1373	C₂×D₄	—	212	6	no	—
1374	C₂×D₄	—	212	6	no	—
1375	C₂×D₄	—	212	6	no	—
1376	C₂×D₄	—	212	6	no	—
1377	C₂×D₄	—	212	6	no	—
1378	C₂×D₄	—	212	6	no	—
1379	C₂×D₄	—	212	6	no	—
1380	C₂×D₄	—	212	12	no	—
1381	C₂×D₄	—	212	12	no	—
1382	C₂×D₄	—	212	12	no	—
1383	C₂×D₄	—	212	6	no	—
1384	C₂×D₄	—	212	6	no	—
1385	C₂×D₄	—	212	6	no	—
1386	C₂×D₄	—	212	12	no	—
1387	C₂×D₄	—	212	12	no	—
1388	C₂×D₄	—	212	12	no	—
1389	C₂×D₄	—	212	12	no	—
1390	C₂×D₄	—	212	12	no	—
1391	C₂×D₄	—	212	12	no	—
1392	C₂×D₄	—	212	6	no	—
1393	C₂×D₄	—	212	12	no	—
1394	C₂×D₄	—	212	6	no	—
1395	C₂×D₄	—	212	12	no	—
1396	C₂×D₄	C₂³×D₅₃	1	6	yes	—
1397	C₂×D₄	C₂³×D₅₃	1	6	yes	—
1398	C₂×D₄	C₂³×D₅₃	1	3	yes	—
1399	C₂×D₄	C₂³×D₅₃	1	3	yes	—
1400	C₂×D₄	C₂³×D₅₃	1	6	yes	—
1401	C₂×D₄	C₂³×D₅₃	1	3	yes	—
1402	C₂×D₄	C₂³×D₅₃	1	6	yes	—
1403	C₂×D₄	C₂³×D₅₃	1	3	yes	—
1404	C₂×D₄	C₂³×D₅₃	1	3	yes	complemented
1405	C₂×D₄	C₂³×D₅₃	1	6	yes	complemented
1406	C₂²×C₄	—	53	3	no	—
1407	C₂²×C₄	—	53	6	no	—
1408	C₂²×C₄	—	53	6	no	—
1409	C₂²×C₄	—	53	3	no	—
1410	C₂²×C₄	—	53	3	no	—
1411	C₂²×C₄	—	53	6	no	—
1412	C₂²×C₄	—	53	6	no	—
1413	C₂²×C₄	—	53	3	no	—
1414	C₂²×C₄	—	53	3	no	—
1415	C₂²×C₄	—	53	3	no	—
1416	C₂²×C₄	—	53	6	no	—
1417	C₂²×C₄	—	53	6	no	—
1418	C₂²×C₄	—	53	6	no	—
1419	C₂²×C₄	—	53	6	no	—
1420	C₂²×C₄	—	53	6	no	—
1421	C₂²×C₄	—	106	12	no	—
1422	C₂²×C₄	—	212	12	no	—
1423	C₂²×C₄	—	212	6	no	—
1424	C₂²×C₄	—	212	12	no	—
1425	C₂²×C₄	C₂³×D₅₃	1	3	yes	—
1426	C₂²×C₄	C₂³×D₅₃	1	6	yes	—
1427	C₂²×C₄	C₂³×D₅₃	1	6	yes	complemented
1428	C₂²×C₄	C₂³×D₅₃	1	3	yes	complemented
1429	C₄⋊C₄	—	53	6	no	—
1430	C₄⋊C₄	—	53	6	no	—
1431	C₄⋊C₄	—	53	6	no	—
1432	C₄⋊C₄	—	53	6	no	—
1433	C₄⋊C₄	—	53	6	no	—
1434	C₄⋊C₄	—	53	6	no	—
1435	C₄⋊C₄	—	53	6	no	—
1436	C₄⋊C₄	—	53	6	no	—
1437	C₄⋊C₄	—	53	6	no	—
1438	C₄⋊C₄	C₂³×D₅₃	1	6	yes	complemented
1439	C₄⋊C₄	C₂³×D₅₃	1	6	yes	complemented
1440	C₄⋊C₄	C₂³×D₅₃	1	6	yes	complemented
1441	C₂²⋊C₄	—	53	6	no	—
1442	C₂²⋊C₄	—	53	6	no	—
1443	C₂²⋊C₄	—	53	3	no	—
1444	C₂²⋊C₄	—	53	6	no	—
1445	C₂²⋊C₄	—	53	6	no	—
1446	C₂²⋊C₄	—	53	6	no	—
1447	C₂²⋊C₄	—	53	3	no	—
1448	C₂²⋊C₄	—	53	3	no	—
1449	C₂²⋊C₄	—	53	3	no	—
1450	C₂²⋊C₄	—	53	6	no	—
1451	C₂²⋊C₄	—	53	6	no	—
1452	C₂²⋊C₄	—	53	6	no	—
1453	C₂²⋊C₄	—	53	6	no	—
1454	C₂²⋊C₄	—	53	6	no	—
1455	C₂²⋊C₄	—	53	6	no	—
1456	C₂²⋊C₄	—	53	6	no	—
1457	C₂²⋊C₄	—	53	6	no	—
1458	C₂²⋊C₄	—	53	6	no	—
1459	C₂²⋊C₄	—	53	6	no	—
1460	C₂²⋊C₄	—	53	6	no	—
1461	C₂²⋊C₄	—	53	6	no	—
1462	C₂²⋊C₄	—	53	6	no	—
1463	C₂²⋊C₄	—	53	6	no	—
1464	C₂²⋊C₄	—	53	6	no	—
1465	C₂²⋊C₄	—	53	6	no	—
1466	C₂²⋊C₄	—	53	6	no	—
1467	C₂²⋊C₄	—	53	6	no	—
1468	C₂²⋊C₄	—	53	6	no	—
1469	C₂²⋊C₄	—	53	6	no	—
1470	C₂²⋊C₄	C₂³×D₅₃	1	6	yes	—
1471	C₂²⋊C₄	C₂³×D₅₃	1	6	yes	—
1472	C₂²⋊C₄	C₂³×D₅₃	1	3	yes	—
1473	C₂²⋊C₄	C₂³×D₅₃	1	6	yes	—
1474	C₂²⋊C₄	C₂³×D₅₃	1	6	yes	—
1475	C₂²⋊C₄	C₂³×D₅₃	1	6	yes	—
1476	C₂²⋊C₄	C₂³×D₅₃	1	3	yes	—
1477	C₂²⋊C₄	C₂³×D₅₃	1	3	yes	complemented
1478	C₂²⋊C₄	C₂³×D₅₃	1	3	yes	complemented
1479	C₂²⋊C₄	C₂³×D₅₃	1	6	yes	complemented
1480	C₂²⋊C₄	C₂³×D₅₃	1	6	yes	complemented
1481	C₄²	—	53	3	no	—
1482	C₄²	—	53	6	no	—
1483	C₄²	—	53	3	no	—
1484	C₄²	—	53	6	no	—
1485	C₄²	C₂³×D₅₃	1	1	yes	characteristic, complemented
1486	C₄²	C₂³×D₅₃	1	3	yes	complemented
1487	C₄²	C₂³×D₅₃	1	2	yes	complemented
1488	C₂³	—	2	12	no	—
1489	C₂³	—	2	6	no	—
1490	C₂³	—	2	6	no	—
1491	C₂³	—	4	3	no	—
1492	C₂³	—	4	6	no	—
1493	C₂³	—	4	3	no	—
1494	C₂³	—	4	6	no	—
1495	C₂³	—	4	3	no	—
1496	C₂³	—	4	16	no	—
1497	C₂³	—	53	1	no	—
1498	C₂³	—	53	12	no	—
1499	C₂³	—	53	3	no	—
1500	C₂³	—	53	3	no	—
1501	C₂³	—	53	1	no	—
1502	C₂³	—	53	3	no	—
1503	C₂³	—	53	3	no	—
1504	C₂³	—	106	12	no	—
1505	C₂³	—	106	6	no	—
1506	C₂³	—	106	6	no	—
1507	C₂³	—	106	12	no	—
1508	C₂³	—	106	6	no	—
1509	C₂³	—	106	12	no	—
1510	C₂³	—	106	6	no	—
1511	C₂³	—	106	12	no	—
1512	C₂³	—	106	6	no	—
1513	C₂³	—	106	12	no	—
1514	C₂³	—	106	6	no	—
1515	C₂³	—	106	12	no	—
1516	C₂³	—	106	6	no	—
1517	C₂³	—	106	6	no	—
1518	C₂³	—	106	6	no	—
1519	C₂³	—	106	12	no	—
1520	C₂³	—	106	6	no	—
1521	C₂³	—	424	24	no	—
1522	C₂³	—	424	8	no	—
1523	C₂³	—	212	6	no	—
1524	C₂³	—	212	6	no	—
1525	C₂³	—	212	3	no	—
1526	C₂³	—	212	6	no	—
1527	C₂³	—	212	6	no	—
1528	C₂³	—	212	6	no	—
1529	C₂³	—	212	6	no	—
1530	C₂³	—	212	3	no	—
1531	C₂³	—	212	6	no	—
1532	C₂³	—	212	6	no	—
1533	C₂³	—	212	3	no	—
1534	C₂³	—	212	6	no	—
1535	C₂³	—	212	48	no	—
1536	C₂³	—	212	48	no	—
1537	C₂³	—	212	48	no	—
1538	C₂³	—	212	48	no	—
1539	C₂³	—	212	16	no	—
1540	C₂³	—	212	16	no	—
1541	C₂³	C₂⁴×D₅₃	1	3	yes	—
1542	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1543	C₂³	C₂⁴×D₅₃	1	3	yes	—
1544	C₂³	C₂⁴×D₅₃	1	3	yes	—
1545	C₂³	C₂⁴×D₅₃	1	3	yes	—
1546	Q₈	—	4	3	no	—
1547	Q₈	—	212	3	no	—
1548	Q₈	—	212	6	no	—
1549	D₄	—	2	12	no	—
1550	D₄	—	2	12	no	—
1551	D₄	—	4	3	no	—
1552	D₄	—	4	3	no	—
1553	D₄	—	4	3	no	—
1554	D₄	—	4	3	no	—
1555	D₄	—	4	6	no	—
1556	D₄	—	4	6	no	—
1557	D₄	—	4	6	no	—
1558	D₄	—	4	3	no	—
1559	D₄	—	106	12	no	—
1560	D₄	—	106	12	no	—
1561	D₄	—	106	12	no	—
1562	D₄	—	106	12	no	—
1563	D₄	—	106	12	no	—
1564	D₄	—	106	12	no	—
1565	D₄	—	212	3	no	—
1566	D₄	—	212	3	no	—
1567	D₄	—	212	3	no	—
1568	D₄	—	212	3	no	—
1569	D₄	—	212	6	no	—
1570	D₄	—	212	6	no	—
1571	D₄	—	212	6	no	—
1572	D₄	—	212	3	no	—
1573	D₄	—	212	3	no	—
1574	D₄	—	212	3	no	—
1575	D₄	—	212	3	no	—
1576	D₄	—	212	3	no	—
1577	D₄	—	212	3	no	—
1578	D₄	—	212	3	no	—
1579	D₄	—	212	3	no	—
1580	D₄	—	212	3	no	—
1581	D₄	—	212	6	no	—
1582	D₄	—	212	6	no	—
1583	D₄	—	212	6	no	—
1584	D₄	—	212	6	no	—
1585	D₄	—	212	6	no	—
1586	D₄	—	212	6	no	—
1587	D₄	—	212	6	no	—
1588	C₂×C₄	—	2	6	no	—
1589	C₂×C₄	—	4	6	no	—
1590	C₂×C₄	—	4	3	no	—
1591	C₂×C₄	—	4	6	no	—
1592	C₂×C₄	—	53	3	no	—
1593	C₂×C₄	—	53	6	no	—
1594	C₂×C₄	—	53	6	no	—
1595	C₂×C₄	—	53	3	no	—
1596	C₂×C₄	—	106	6	no	—
1597	C₂×C₄	—	106	6	no	—
1598	C₂×C₄	—	106	6	no	—
1599	C₂×C₄	—	106	6	no	—
1600	C₂×C₄	—	106	12	no	—
1601	C₂×C₄	—	106	12	no	—
1602	C₂×C₄	—	106	6	no	—
1603	C₂×C₄	—	212	6	no	—
1604	C₂×C₄	—	212	6	no	—
1605	C₂×C₄	—	212	6	no	—
1606	C₂×C₄	—	212	6	no	—
1607	C₂×C₄	—	212	6	no	—
1608	C₂×C₄	—	212	3	no	—
1609	C₂×C₄	—	212	6	no	—
1610	C₂×C₄	—	212	6	no	—
1611	C₂×C₄	C₂⁴×D₅₃	1	3	yes	—
1612	C₂×C₄	C₂⁴×D₅₃	1	6	yes	—
1613	C₂×C₄	C₂⁴×D₅₃	1	6	yes	—
1614	C₂×C₄	C₂⁴×D₅₃	1	3	yes	—
1615	C₂²	—	2	6	no	—
1616	C₂²	—	2	6	no	—
1617	C₂²	—	2	3	no	—
1618	C₂²	—	2	6	no	—
1619	C₂²	—	2	3	no	—
1620	C₂²	—	2	3	no	—
1621	C₂²	—	2	6	no	—
1622	C₂²	—	2	3	no	—
1623	C₂²	—	4	12	no	—
1624	C₂²	—	4	12	no	—
1625	C₂²	—	4	4	no	—
1626	C₂²	—	8	6	no	—
1627	C₂²	—	8	2	no	—
1628	C₂²	—	53	6	no	—
1629	C₂²	—	53	6	no	—
1630	C₂²	—	106	24	no	—
1631	C₂²	—	106	6	no	—
1632	C₂²	—	106	6	no	—
1633	C₂²	—	106	3	no	—
1634	C₂²	—	106	6	no	—
1635	C₂²	—	106	3	no	—
1636	C₂²	—	106	3	no	—
1637	C₂²	—	106	6	no	—
1638	C₂²	—	106	3	no	—
1639	C₂²	—	424	6	no	—
1640	C₂²	—	424	6	no	—
1641	C₂²	—	424	6	no	—
1642	C₂²	—	424	6	no	—
1643	C₂²	—	212	24	no	—
1644	C₂²	—	212	12	no	—
1645	C₂²	—	212	12	no	—
1646	C₂²	—	212	12	no	—
1647	C₂²	—	212	12	no	—
1648	C₂²	—	212	4	no	—
1649	C₂²	—	212	12	no	—
1650	C₂²	—	212	12	no	—
1651	C₂²	—	212	12	no	—
1652	C₂²	—	212	12	no	—
1653	C₂²	H(5,𝔽₂)×D₅₃	1	6	yes	—
1654	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1655	C₄	—	2	3	no	—
1656	C₄	—	2	3	no	—
1657	C₄	—	2	6	no	—
1658	C₄	—	2	6	no	—
1659	C₄	—	106	3	no	—
1660	C₄	—	106	3	no	—
1661	C₄	—	106	6	no	—
1662	C₄	—	106	6	no	—
1663	C₂	—	2	6	no	—
1664	C₂	—	4	3	no	—
1665	C₂	—	4	1	no	—
1666	C₂	—	4	3	no	—
1667	C₂	—	4	3	no	—
1668	C₂	—	53	4	no	—
1669	C₂	—	106	6	no	—
1670	C₂	—	212	3	no	—
1671	C₂	—	212	3	no	—
1672	C₂	—	212	3	no	—
1673	C₂	—	212	1	no	—
1674	C₂	C₂×H(5,𝔽₂)×D₅₃	1	3	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3532	C₂
hypercenter	#3532	D₅₃
hypocenter	C₅₃	C₂×#3532
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3532

Complements

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

N	H ≅ G/N	type
1. #20288872	C₂	semidirect
2. #20288871	C₂	semidirect
3. #20288870	C₂	semidirect
4. #20288869	C₂	semidirect
5. #20288868	C₂	semidirect
6. #20288867	C₂	semidirect
7. #20288866	C₂	semidirect
8. #20288865	C₂	semidirect
9. #20288864	C₂	semidirect
10. H(3,𝔽₄)×D₅₃	C₂	semidirect
11. #560×D₅₃	C₂	semidirect
12. #551×D₅₃	C₂	semidirect
13. #546×D₅₃	C₂	semidirect
14. D₄²×D₅₃	C₂	semidirect
15. #538×D₅₃	C₂	semidirect
16. #535×D₅₃	C₂	semidirect
17. #534×D₅₃	C₂	semidirect
18. C₂×#120×D₅₃	C₂	semidirect
19. C₅₃×#3532	C₂	semidirect
20. C₂⁵×D₅₃	C₂²	semidirect
21. C₂×#41×D₅₃	C₂²	semidirect
22. C₂²×D₄×D₅₃	C₂²	semidirect
23. C₂²×D₄×D₅₃	C₂²	semidirect
24. C₂²×D₄×D₅₃	C₂²	semidirect
25. #16811366	C₂²	semidirect
26. #16811366	C₂²	semidirect
27. #16811365	C₂²	semidirect
28. #16811365	C₂²	semidirect
29. #16811364	C₂²	semidirect
30. #16811363	C₂²	semidirect
31. #16811363	C₂²	semidirect
32. #16811362	C₂²	semidirect
33. #16811362	C₂²	semidirect
34. #16811361	C₂²	semidirect
35. #16811361	C₂²	semidirect
36. #16811361	C₂²	semidirect
37. #16811360	C₂²	semidirect
38. #16811304	C₂²	semidirect
39. #16811303	C₂²	semidirect
40. #16811302	C₂²	semidirect
41. #16811301	C₂²	semidirect
42. #16811300	C₂²	semidirect
43. #16811299	C₂²	semidirect
44. #16811298	C₂²	semidirect
45. #16811297	C₂²	semidirect
46. #16811296	C₂²	semidirect
47. #16811270	C₂²	semidirect
48. #16811269	C₂²	semidirect
49. #16811268	C₂²	semidirect
50. #16811267	C₂²	semidirect
51. #16811266	C₂²	semidirect
52. #16811265	C₂²	semidirect
53. #16811265	C₂²	semidirect
54. #16811264	C₂²	semidirect
55. #16811263	C₂²	semidirect
56. #16811263	C₂²	semidirect
57. #16811262	C₂²	semidirect
58. #16811262	C₂²	semidirect
59. #16811261	C₂²	semidirect
60. #16811260	C₂²	semidirect
61. #16811260	C₂²	semidirect
62. D₄×D₂₁₂	C₂²	semidirect
63. #16811258	C₂²	semidirect
64. #16811257	C₂²	semidirect
65. #16811257	C₂²	semidirect
66. D₄×C₂²⋊D₅₃	C₂²	semidirect
67. D₄×C₂²⋊D₅₃	C₂²	semidirect
68. #16811255	C₂²	semidirect
69. #16811255	C₂²	semidirect
70. #16811255	C₂²	semidirect
71. #16811213	C₂²	semidirect
72. #16811212	C₂²	semidirect
73. #16811212	C₂²	semidirect
74. #16811211	C₂²	semidirect
75. #16811210	C₂²	semidirect
76. #16811209	C₂²	semidirect
77. #16811209	C₂²	semidirect
78. #16811208	C₂²	semidirect
79. #16811208	C₂²	semidirect
80. #16811207	C₂²	semidirect
81. #16811207	C₂²	semidirect
82. #16811206	C₂²	semidirect
83. #16811206	C₂²	semidirect
84. #16811205	C₂²	semidirect
85. #16811205	C₂²	semidirect
86. #16811192	C₂²	semidirect
87. #16811191	C₂²	semidirect
88. #16811191	C₂²	semidirect
89. #16811190	C₂²	semidirect
90. #16811189	C₂²	semidirect
91. #16811189	C₂²	semidirect
92. #16811188	C₂²	semidirect
93. #16811188	C₂²	semidirect
94. #16811187	C₂²	semidirect
95. #16811186	C₂²	semidirect
96. #16811186	C₂²	semidirect
97. #16811185	C₂²	semidirect
98. #16811184	C₂²	semidirect
99. #16811184	C₂²	semidirect
100. #16811184	C₂²	semidirect
101. #16811183	C₂²	semidirect
102. #16811183	C₂²	semidirect
103. #16811183	C₂²	semidirect
104. #16811182	C₂²	semidirect
105. #16811182	C₂²	semidirect
106. #16811181	C₂²	semidirect
107. #16811181	C₂²	semidirect
108. #127×D₅₃	C₂²	semidirect
109. #127×D₅₃	C₂²	semidirect
110. #126×D₅₃	C₂²	semidirect
111. #126×D₅₃	C₂²	semidirect
112. #124×D₅₃	C₂²	semidirect
113. #124×D₅₃	C₂²	semidirect
114. #124×D₅₃	C₂²	semidirect
115. #123×D₅₃	C₂²	semidirect
116. #123×D₅₃	C₂²	semidirect
117. #123×D₅₃	C₂²	semidirect
118. #123×D₅₃	C₂²	semidirect
119. C₂²⋊Q₈×D₅₃	C₂²	semidirect
120. #121×D₅₃	C₂²	semidirect
121. #121×D₅₃	C₂²	semidirect
122. #121×D₅₃	C₂²	semidirect
123. #121×D₅₃	C₂²	semidirect
124. #121×D₅₃	C₂²	semidirect
125. C₂×#13133187	C₂²	semidirect
126. C₂×#13133187	C₂²	semidirect
127. C₂×#13133186	C₂²	semidirect
128. C₂×#13133185	C₂²	semidirect
129. C₂×#13133185	C₂²	semidirect
131. #120×D₅₃	C₂²	semidirect
132. #120×D₅₃	C₂²	semidirect
133. #120×D₅₃	C₂²	semidirect
134. #120×D₅₃	C₂²	semidirect
135. #120×D₅₃	C₂²	semidirect
136. #120×D₅₃	C₂²	semidirect
137. #120×D₅₃	C₂²	semidirect
138. #120×D₅₃	C₂²	semidirect
139. #120×D₅₃	C₂²	semidirect
140. #120×D₅₃	C₂²	semidirect
141. #120×D₅₃	C₂²	semidirect
142. #120×D₅₃	C₂²	semidirect
143. #120×D₅₃	C₂²	semidirect
144. #120×D₅₃	C₂²	semidirect
145. C₄×D₄×D₅₃	C₂²	semidirect
146. C₄×D₄×D₅₃	C₂²	semidirect
147. #117×D₅₃	C₂²	semidirect
148. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
149. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
150. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
151. C₅₃×H(3,𝔽₄)	C₂²	semidirect
152. C₅₃×#560	C₂²	semidirect
153. C₅₃×#551	C₂²	semidirect
154. C₅₃×#546	C₂²	semidirect
155. D₄²×C₅₃	C₂²	semidirect
156. C₅₃×#538	C₂²	semidirect
157. C₅₃×#535	C₂²	semidirect
158. C₅₃×#534	C₂²	semidirect
159. C₂×#120×C₅₃	C₂²	semidirect
165. C₂⁴×D₅₃	C₂³	semidirect
166. C₂⁴×D₅₃	C₂³	semidirect
167. C₂⁴×D₅₃	C₂³	semidirect
168. C₂⁴×D₅₃	C₂³	semidirect
169. C₂×#11719949	C₂³	semidirect
170. C₂×#11719945	C₂³	semidirect
171. C₂×#11719945	C₂³	semidirect
172. C₂×#11719947	C₂³	semidirect
173. C₂×#11719947	C₂³	semidirect
175. C₂×Q₈×D₅₃	C₂³	semidirect
176. C₂²×D₂₁₂	C₂³	semidirect
177. C₂²×D₂₁₂	C₂³	semidirect
178. C₂²×D₂₁₂	C₂³	semidirect
179. C₂²×C₂²⋊D₅₃	C₂³	semidirect
180. C₂²×C₂²⋊D₅₃	C₂³	semidirect
181. C₂²×C₂²⋊D₅₃	C₂³	semidirect
182. C₂²×C₂²⋊D₅₃	C₂³	semidirect
183. C₂²×C₂²⋊D₅₃	C₂³	semidirect
184. C₂²×C₂²⋊D₅₃	C₂³	semidirect
196. C₂×D₄×D₅₃	C₂³	semidirect
197. C₂×D₄×D₅₃	C₂³	semidirect
198. C₂×D₄×D₅₃	C₂³	semidirect
199. C₂×D₄×D₅₃	C₂³	semidirect
200. C₂×D₄×D₅₃	C₂³	semidirect
201. C₂×D₄×D₅₃	C₂³	semidirect
202. C₂×D₄×D₅₃	C₂³	semidirect
203. C₂×D₄×D₅₃	C₂³	semidirect
204. C₂×D₄×D₅₃	C₂³	semidirect
205. C₂×D₄×D₅₃	C₂³	semidirect
206. C₂×D₄×D₅₃	C₂³	semidirect
207. C₂×D₄×D₅₃	C₂³	semidirect
210. C₂²×C₄×D₅₃	C₂³	semidirect
211. C₂²×C₄×D₅₃	C₂³	semidirect
212. #13133214	C₂³	semidirect
213. #13133214	C₂³	semidirect
214. #13133213	C₂³	semidirect
215. #13133213	C₂³	semidirect
216. #13133213	C₂³	semidirect
217. #13133213	C₂³	semidirect
218. #13133213	C₂³	semidirect
219. #13133213	C₂³	semidirect
220. #13133212	C₂³	semidirect
221. #13133212	C₂³	semidirect
222. #13133212	C₂³	semidirect
223. #13133212	C₂³	semidirect
224. #13133211	C₂³	semidirect
225. #13133211	C₂³	semidirect
226. #13133210	C₂³	semidirect
227. #13133210	C₂³	semidirect
228. #13133210	C₂³	semidirect
229. #13133210	C₂³	semidirect
230. #13133206	C₂³	semidirect
231. #13133206	C₂³	semidirect
232. #13133206	C₂³	semidirect
233. #13133205	C₂³	semidirect
234. #13133205	C₂³	semidirect
235. #13133205	C₂³	semidirect
236. #13133204	C₂³	semidirect
237. #13133204	C₂³	semidirect
238. #13133204	C₂³	semidirect
239. #13133203	C₂³	semidirect
240. #13133203	C₂³	semidirect
241. #13133203	C₂³	semidirect
242. #13133203	C₂³	semidirect
243. #13133203	C₂³	semidirect
244. #13133203	C₂³	semidirect
245. #13133203	C₂³	semidirect
246. #13133203	C₂³	semidirect
247. #13133202	C₂³	semidirect
248. #13133202	C₂³	semidirect
249. #13133202	C₂³	semidirect
250. #13133202	C₂³	semidirect
251. #13133202	C₂³	semidirect
252. #13133202	C₂³	semidirect
253. #13133201	C₂³	semidirect
254. #13133201	C₂³	semidirect
255. #13133201	C₂³	semidirect
256. #13133201	C₂³	semidirect
257. #13133200	C₂³	semidirect
258. #13133200	C₂³	semidirect
259. #13133200	C₂³	semidirect
260. #13133200	C₂³	semidirect
261. #13133199	C₂³	semidirect
262. #13133199	C₂³	semidirect
263. #13133199	C₂³	semidirect
264. #13133199	C₂³	semidirect
265. #13133199	C₂³	semidirect
266. #13133199	C₂³	semidirect
267. #13133198	C₂³	semidirect
268. #13133198	C₂³	semidirect
269. #13133198	C₂³	semidirect
270. #13133198	C₂³	semidirect
271. #13133197	C₂³	semidirect
272. #13133196	C₂³	semidirect
273. #13133195	C₂³	semidirect
274. #13133195	C₂³	semidirect
275. #13133194	C₂³	semidirect
276. #13133194	C₂³	semidirect
277. #13133193	C₂³	semidirect
278. #13133192	C₂³	semidirect
279. #13133192	C₂³	semidirect
280. #13133192	C₂³	semidirect
281. #13133192	C₂³	semidirect
282. #13133192	C₂³	semidirect
283. #13133191	C₂³	semidirect
284. #13133191	C₂³	semidirect
285. #13133191	C₂³	semidirect
286. #13133191	C₂³	semidirect
287. #13133191	C₂³	semidirect
288. #13133190	C₂³	semidirect
289. #13133190	C₂³	semidirect
290. #13133190	C₂³	semidirect
291. #13133190	C₂³	semidirect
292. #13133190	C₂³	semidirect
293. #13133190	C₂³	semidirect
294. #13133190	C₂³	semidirect
295. #13133190	C₂³	semidirect
296. #13133190	C₂³	semidirect
297. #13133190	C₂³	semidirect
298. #13133189	C₂³	semidirect
299. #13133189	C₂³	semidirect
300. #13133189	C₂³	semidirect
301. #13133189	C₂³	semidirect
302. #13133189	C₂³	semidirect
303. #13133189	C₂³	semidirect
304. #13133189	C₂³	semidirect
305. #13133189	C₂³	semidirect
306. #13133189	C₂³	semidirect
307. #13133189	C₂³	semidirect
308. #13133188	C₂³	semidirect
309. #13133188	C₂³	semidirect
310. #13133188	C₂³	semidirect
311. #13133188	C₂³	semidirect
312. #13133188	C₂³	semidirect
315. #13133187	C₂³	semidirect
316. #13133187	C₂³	semidirect
317. #13133187	C₂³	semidirect
318. #13133187	C₂³	semidirect
319. #13133187	C₂³	semidirect
320. #13133187	C₂³	semidirect
321. #13133187	C₂³	semidirect
322. #13133187	C₂³	semidirect
323. #13133187	C₂³	semidirect
324. #13133187	C₂³	semidirect
325. #13133187	C₂³	semidirect
326. #13133187	C₂³	semidirect
327. #13133187	C₂³	semidirect
328. #13133187	C₂³	semidirect
329. #13133187	C₂³	semidirect
330. #13133187	C₂³	semidirect
331. #13133187	C₂³	semidirect
332. #13133187	C₂³	semidirect
334. #13133186	C₂³	semidirect
335. #13133186	C₂³	semidirect
336. #13133186	C₂³	semidirect
337. #13133186	C₂³	semidirect
338. #13133186	C₂³	semidirect
339. #13133186	C₂³	semidirect
340. #13133186	C₂³	semidirect
341. #13133186	C₂³	semidirect
344. #13133185	C₂³	semidirect
345. #13133185	C₂³	semidirect
346. #13133185	C₂³	semidirect
347. #13133185	C₂³	semidirect
348. #13133185	C₂³	semidirect
349. #13133185	C₂³	semidirect
350. #13133185	C₂³	semidirect
351. #13133185	C₂³	semidirect
352. #13133185	C₂³	semidirect
353. #13133185	C₂³	semidirect
354. #13133185	C₂³	semidirect
355. #13133185	C₂³	semidirect
356. #13133185	C₂³	semidirect
357. #13133185	C₂³	semidirect
358. #13133185	C₂³	semidirect
359. #13133185	C₂³	semidirect
360. #13133185	C₂³	semidirect
361. #13133185	C₂³	semidirect
362. C₄×D₂₁₂	C₂³	semidirect
363. C₄×D₂₁₂	C₂³	semidirect
364. D₄×Dic₅₃	C₂³	semidirect
365. D₄×Dic₅₃	C₂³	semidirect
366. #13133179	C₂³	semidirect
367. #13133179	C₂³	semidirect
368. C₄×C₂²⋊D₅₃	C₂³	semidirect
369. C₄×C₂²⋊D₅₃	C₂³	semidirect
370. C₄×C₂²⋊D₅₃	C₂³	semidirect
371. C₄×C₂²⋊D₅₃	C₂³	semidirect
372. #13133177	C₂³	semidirect
373. #13133177	C₂³	semidirect
374. #13133177	C₂³	semidirect
375. #13133177	C₂³	semidirect
376. #13133176	C₂³	semidirect
377. #13133175	C₂³	semidirect
378. #13133174	C₂³	semidirect
379. #13133174	C₂³	semidirect
380. #13133173	C₂³	semidirect
381. C₄⋊C₄×D₅₃	C₂³	semidirect
382. C₄⋊C₄×D₅₃	C₂³	semidirect
383. C₄⋊C₄×D₅₃	C₂³	semidirect
384. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
385. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
386. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
387. C₂×#11719921	C₂³	semidirect
388. C₂×#11719921	C₂³	semidirect
389. C₂×#11719921	C₂³	semidirect
390. C₂×#11719921	C₂³	semidirect
398. C₂²⋊C₄×D₅₃	C₂³	semidirect
399. C₂²⋊C₄×D₅₃	C₂³	semidirect
400. C₂²⋊C₄×D₅₃	C₂³	semidirect
401. C₂²⋊C₄×D₅₃	C₂³	semidirect
402. C₂²⋊C₄×D₅₃	C₂³	semidirect
403. C₂²⋊C₄×D₅₃	C₂³	semidirect
404. C₂²⋊C₄×D₅₃	C₂³	semidirect
405. C₂²⋊C₄×D₅₃	C₂³	semidirect
406. C₂²⋊C₄×D₅₃	C₂³	semidirect
407. C₂²⋊C₄×D₅₃	C₂³	semidirect
408. C₂²⋊C₄×D₅₃	C₂³	semidirect
409. C₂²⋊C₄×D₅₃	C₂³	semidirect
410. C₂²⋊C₄×D₅₃	C₂³	semidirect
411. C₂²⋊C₄×D₅₃	C₂³	semidirect
412. C₄²×D₅₃	C₂³	semidirect
413. C₄²×D₅₃	C₂³	semidirect
414. C₄²×D₅₃	C₂³	semidirect
415. C₂⁵×C₅₃	C₂³	semidirect
416. C₂×#41×C₅₃	C₂³	semidirect
417. C₂²×D₄×C₅₃	C₂³	semidirect
418. C₂²×D₄×C₅₃	C₂³	semidirect
419. C₂²×D₄×C₅₃	C₂³	semidirect
420. #127×C₅₃	C₂³	semidirect
421. #127×C₅₃	C₂³	semidirect
422. #126×C₅₃	C₂³	semidirect
423. #126×C₅₃	C₂³	semidirect
424. #124×C₅₃	C₂³	semidirect
425. #124×C₅₃	C₂³	semidirect
426. #124×C₅₃	C₂³	semidirect
427. #123×C₅₃	C₂³	semidirect
428. #123×C₅₃	C₂³	semidirect
429. #123×C₅₃	C₂³	semidirect
430. #123×C₅₃	C₂³	semidirect
431. C₂²⋊Q₈×C₅₃	C₂³	semidirect
432. #121×C₅₃	C₂³	semidirect
433. #121×C₅₃	C₂³	semidirect
434. #121×C₅₃	C₂³	semidirect
435. #121×C₅₃	C₂³	semidirect
436. #121×C₅₃	C₂³	semidirect
438. #120×C₅₃	C₂³	semidirect
439. #120×C₅₃	C₂³	semidirect
440. #120×C₅₃	C₂³	semidirect
441. #120×C₅₃	C₂³	semidirect
442. #120×C₅₃	C₂³	semidirect
443. #120×C₅₃	C₂³	semidirect
444. #120×C₅₃	C₂³	semidirect
445. #120×C₅₃	C₂³	semidirect
446. C₄×D₄×C₅₃	C₂³	semidirect
447. C₄×D₄×C₅₃	C₂³	semidirect
448. #117×C₅₃	C₂³	semidirect
449. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
450. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
451. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
457. C₂⁴×C₅₃	C₂⁴	semidirect
486. C₂³×D₅₃	C₂⁴	semidirect
488. C₂×Q₈×C₅₃	C₂⁴	semidirect
500. C₂×D₄×C₅₃	C₂⁴	semidirect
501. C₂×D₄×C₅₃	C₂⁴	semidirect
504. C₂²×C₄×C₅₃	C₂⁴	semidirect
505. C₂²×C₄×C₅₃	C₂⁴	semidirect
528. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
529. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
530. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
533. C₂²×Dic₅₃	C₂⁴	semidirect
534. C₂²×Dic₅₃	C₂⁴	semidirect
572. C₂×D₂₁₂	C₂⁴	semidirect
573. C₂×D₂₁₂	C₂⁴	semidirect
586. C₂×C₄×D₅₃	C₂⁴	semidirect
587. C₂×C₄×D₅₃	C₂⁴	semidirect
588. C₂×C₄×D₅₃	C₂⁴	semidirect
589. C₂×Dic₁₀₆	C₂⁴	semidirect
590. C₂×Dic₁₀₆	C₂⁴	semidirect
591. C₄⋊C₄×C₅₃	C₂⁴	semidirect
592. C₄⋊C₄×C₅₃	C₂⁴	semidirect
593. C₄⋊C₄×C₅₃	C₂⁴	semidirect
601. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
602. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
603. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
604. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
605. C₄²×C₅₃	C₂⁴	semidirect
606. C₄²×C₅₃	C₂⁴	semidirect
607. C₄²×C₅₃	C₂⁴	semidirect
615. C₂²⋊Dic₅₃	C₂⁴	semidirect
616. C₂²⋊Dic₅₃	C₂⁴	semidirect
617. C₂²⋊Dic₅₃	C₂⁴	semidirect
618. C₂²⋊Dic₅₃	C₂⁴	semidirect
631. #11719921	C₂⁴	semidirect
632. #11719921	C₂⁴	semidirect
633. #11719921	C₂⁴	semidirect
634. #11719921	C₂⁴	semidirect
635. #11719921	C₂⁴	semidirect
636. #11719921	C₂⁴	semidirect
637. C₄⋊Dic₅₃	C₂⁴	semidirect
638. C₄⋊Dic₅₃	C₂⁴	semidirect
639. C₄⋊Dic₅₃	C₂⁴	semidirect
640. #11719919	C₂⁴	semidirect
641. #11719919	C₂⁴	semidirect
642. #11719919	C₂⁴	semidirect
643. #11719919	C₂⁴	semidirect
644. #11719919	C₂⁴	semidirect
645. #11719919	C₂⁴	semidirect
646. C₄×Dic₅₃	C₂⁴	semidirect
647. C₄×Dic₅₃	C₂⁴	semidirect
648. C₄×Dic₅₃	C₂⁴	semidirect
649. C₄×Dic₅₃	C₂⁴	semidirect
835. #3532	D₅₃	direct (N × H)
856. D₅₃	#3532	direct (N × H)
866. H(3,𝔽₄)	C₂×D₅₃	semidirect
876. #560	C₂×D₅₃	semidirect
886. #551	C₂×D₅₃	semidirect
902. #546	C₂×D₅₃	semidirect
912. D₄²	C₂×D₅₃	semidirect
928. #538	C₂×D₅₃	semidirect
940. #535	C₂×D₅₃	semidirect
952. #534	C₂×D₅₃	semidirect
990. C₂×#120	C₂×D₅₃	semidirect
997. C₅₃	C₂×#3532	semidirect
1007. C₂⁵	C₂²×D₅₃	semidirect
1014. C₂×#41	C₂²×D₅₃	semidirect
1048. C₂²×D₄	C₂²×D₅₃	semidirect
1049. C₂²×D₄	C₂²×D₅₃	semidirect
1050. C₂²×D₄	C₂²×D₅₃	semidirect
1063. #127	C₂²×D₅₃	semidirect
1064. #127	C₂²×D₅₃	semidirect
1075. #126	C₂²×D₅₃	semidirect
1076. #126	C₂²×D₅₃	semidirect
1094. #124	C₂²×D₅₃	semidirect
1095. #124	C₂²×D₅₃	semidirect
1096. #124	C₂²×D₅₃	semidirect
1121. #123	C₂²×D₅₃	semidirect
1122. #123	C₂²×D₅₃	semidirect
1123. #123	C₂²×D₅₃	semidirect
1124. #123	C₂²×D₅₃	semidirect
1132. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1168. #121	C₂²×D₅₃	semidirect
1169. #121	C₂²×D₅₃	semidirect
1170. #121	C₂²×D₅₃	semidirect
1171. #121	C₂²×D₅₃	semidirect
1172. #121	C₂²×D₅₃	semidirect
1223. #120	C₂²×D₅₃	semidirect
1224. #120	C₂²×D₅₃	semidirect
1225. #120	C₂²×D₅₃	semidirect
1226. #120	C₂²×D₅₃	semidirect
1227. #120	C₂²×D₅₃	semidirect
1228. #120	C₂²×D₅₃	semidirect
1229. #120	C₂²×D₅₃	semidirect
1230. #120	C₂²×D₅₃	semidirect
1245. C₄×D₄	C₂²×D₅₃	semidirect
1246. C₄×D₄	C₂²×D₅₃	semidirect
1252. #117	C₂²×D₅₃	semidirect
1284. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1285. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1286. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1324. C₂⁴	C₂³×D₅₃	semidirect
1334. C₂×Q₈	C₂³×D₅₃	semidirect
1404. C₂×D₄	C₂³×D₅₃	semidirect
1405. C₂×D₄	C₂³×D₅₃	semidirect
1427. C₂²×C₄	C₂³×D₅₃	semidirect
1428. C₂²×C₄	C₂³×D₅₃	semidirect
1438. C₄⋊C₄	C₂³×D₅₃	semidirect
1439. C₄⋊C₄	C₂³×D₅₃	semidirect
1440. C₄⋊C₄	C₂³×D₅₃	semidirect
1477. C₂²⋊C₄	C₂³×D₅₃	semidirect
1478. C₂²⋊C₄	C₂³×D₅₃	semidirect
1479. C₂²⋊C₄	C₂³×D₅₃	semidirect
1480. C₂²⋊C₄	C₂³×D₅₃	semidirect
1485. C₄²	C₂³×D₅₃	semidirect
1486. C₄²	C₂³×D₅₃	semidirect
1487. C₄²	C₂³×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288872	2
#20288871	2
#20288870	2
#20288869	2
#20288868	2
#20288867	2
#20288866	2
#20288865	2
#20288864	2
H(3,𝔽₄)×D₅₃	2
#560×D₅₃	2
#551×D₅₃	2
#546×D₅₃	2
D₄²×D₅₃	2
#538×D₅₃	2
#535×D₅₃	2
#534×D₅₃	2
C₂×#120×D₅₃	2
C₅₃×#3532	2
C₂×#3532	53

Subgroups — D53×#3532 #28291207

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3532 #28291207