Subgroups — D₅₃×#3506 #28292035

Order 13568.

7994 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288569	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288568	C₂	1	2	yes	maximal, complemented
3	#20288567	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288566	C₂	1	2	yes	maximal, complemented
5	#20288565	C₂	1	2	yes	maximal, complemented
6	#20288564	C₂	1	1	yes	maximal, characteristic, complemented
7	#20288563	C₂	1	4	yes	maximal, complemented
8	#20288562	C₂	1	4	yes	maximal, complemented
9	#20288561	C₂	1	4	yes	maximal, complemented
10	#20288560	C₂	1	2	yes	maximal, complemented
11	#20288559	C₂	1	2	yes	maximal, complemented
12	#20288558	C₂	1	4	yes	maximal, complemented
13	#20288557	C₂	1	2	yes	maximal, complemented
14	#559×D₅₃	C₂	1	4	yes	maximal, complemented
15	#556×D₅₃	C₂	1	2	yes	maximal, complemented
16	#555×D₅₃	C₂	1	2	yes	maximal, complemented
17	#553×D₅₃	C₂	1	4	yes	maximal, complemented
18	#550×D₅₃	C₂	1	2	yes	maximal, complemented
19	#547×D₅₃	C₂	1	2	yes	maximal, complemented
20	#538×D₅₃	C₂	1	4	yes	maximal, complemented
21	#535×D₅₃	C₂	1	2	yes	maximal, complemented
22	#533×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	#532×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#525×D₅₃	C₂	1	4	yes	maximal, complemented
25	#520×D₅₃	C₂	1	2	yes	maximal, complemented
26	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#41×D₅₃	C₂²	1	2	yes	—
29	C₂×#41×D₅₃	C₂²	1	4	yes	complemented
30	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₅₃	C₂²	1	2	yes	—
32	#16811359	C₂²	1	4	yes	complemented
33	#16811358	C₂²	1	4	yes	complemented
34	#16811358	C₂²	1	4	yes	complemented
35	#16811357	C₂²	1	8	yes	complemented
36	#16811357	C₂²	1	8	yes	complemented
37	#16811356	C₂²	1	4	yes	complemented
38	#16811356	C₂²	1	8	yes	complemented
39	#16811356	C₂²	1	4	yes	complemented
40	#16811355	C₂²	1	4	yes	complemented
41	#16811355	C₂²	1	8	yes	complemented
42	#16811355	C₂²	1	4	yes	complemented
43	#16811347	C₂²	1	2	yes	complemented
44	#16811346	C₂²	1	2	yes	complemented
45	#16811345	C₂²	1	4	yes	complemented
46	#16811344	C₂²	1	4	yes	complemented
47	#16811343	C₂²	1	2	yes	complemented
48	#16811342	C₂²	1	4	yes	complemented
49	#16811341	C₂²	1	4	yes	complemented
50	#16811340	C₂²	1	8	yes	complemented
51	#16811339	C₂²	1	2	yes	complemented
52	#16811338	C₂²	1	2	yes	complemented
53	#16811338	C₂²	1	2	yes	complemented
54	#16811337	C₂²	1	4	yes	complemented
55	#16811337	C₂²	1	4	yes	complemented
56	#16811336	C₂²	1	4	yes	complemented
57	#16811336	C₂²	1	4	yes	complemented
58	#16811335	C₂²	1	8	yes	complemented
59	#16811326	C₂²	1	4	yes	complemented
60	#16811325	C₂²	1	4	yes	complemented
61	#16811324	C₂²	1	8	yes	complemented
62	#16811323	C₂²	1	4	yes	complemented
63	#16811322	C₂²	1	8	yes	complemented
64	#16811321	C₂²	1	4	yes	complemented
65	#16811320	C₂²	1	4	yes	complemented
66	#16811319	C₂²	1	4	yes	complemented
67	#16811318	C₂²	1	8	yes	complemented
68	#16811317	C₂²	1	4	yes	complemented
69	#16811316	C₂²	1	8	yes	complemented
70	#16811295	C₂²	1	2	yes	complemented
71	#16811294	C₂²	1	2	yes	complemented
72	#16811294	C₂²	1	4	yes	complemented
73	#16811293	C₂²	1	4	yes	complemented
74	#16811293	C₂²	1	2	yes	complemented
75	#16811292	C₂²	1	4	yes	complemented
76	#16811291	C₂²	1	8	yes	complemented
77	#16811291	C₂²	1	4	yes	complemented
78	#16811278	C₂²	1	2	yes	complemented
79	#16811277	C₂²	1	2	yes	complemented
80	#16811276	C₂²	1	2	yes	complemented
81	#16811275	C₂²	1	4	yes	complemented
82	#16811274	C₂²	1	4	yes	complemented
83	#16811273	C₂²	1	4	yes	complemented
84	#16811272	C₂²	1	4	yes	complemented
85	#16811271	C₂²	1	8	yes	complemented
86	#16811213	C₂²	1	4	yes	complemented
87	#16811212	C₂²	1	8	yes	complemented
88	#16811211	C₂²	1	4	yes	complemented
89	#16811210	C₂²	1	4	yes	complemented
90	#16811209	C₂²	1	8	yes	complemented
91	#16811208	C₂²	1	8	yes	complemented
92	#16811207	C₂²	1	8	yes	complemented
93	#16811206	C₂²	1	8	yes	complemented
94	#16811205	C₂²	1	8	yes	complemented
95	#16811192	C₂²	1	2	yes	complemented
96	#16811191	C₂²	1	4	yes	complemented
97	#16811190	C₂²	1	2	yes	complemented
98	#16811189	C₂²	1	4	yes	complemented
99	#16811189	C₂²	1	4	yes	complemented
100	#16811188	C₂²	1	8	yes	complemented
101	#16811187	C₂²	1	2	yes	complemented
102	#16811186	C₂²	1	4	yes	complemented
103	#16811180	C₂²	1	1	yes	characteristic, complemented
104	#16811179	C₂²	1	2	yes	complemented
105	#16811178	C₂²	1	1	yes	characteristic, complemented
106	#16811178	C₂²	1	1	yes	characteristic, complemented
107	#16811177	C₂²	1	2	yes	complemented
108	#16811177	C₂²	1	2	yes	complemented
109	#16811176	C₂²	1	2	yes	complemented
110	#16811175	C₂²	1	2	yes	complemented
111	#16811175	C₂²	1	2	yes	complemented
112	#16811174	C₂²	1	1	yes	characteristic, complemented
113	#16811173	C₂²	1	1	yes	characteristic, complemented
114	#16811172	C₂²	1	2	yes	complemented
115	#16811171	C₂²	1	1	yes	characteristic, complemented
116	#16811170	C₂²	1	2	yes	complemented
117	#16811170	C₂²	1	2	yes	complemented
118	#16811169	C₂²	1	2	yes	complemented
119	#16811168	C₂²	1	2	yes	complemented
120	#16811168	C₂²	1	2	yes	complemented
121	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
122	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
123	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
124	#127×D₅₃	C₂²	1	4	yes	—
125	#127×D₅₃	C₂²	1	1	yes	characteristic, complemented
126	#126×D₅₃	C₂²	1	8	yes	complemented
127	#125×D₅₃	C₂²	1	2	yes	complemented
128	#124×D₅₃	C₂²	1	4	yes	—
129	#124×D₅₃	C₂²	1	2	yes	complemented
130	#124×D₅₃	C₂²	1	8	yes	complemented
131	#16811136	C₂²	1	4	yes	complemented
132	#16811136	C₂²	1	4	yes	complemented
133	#16811135	C₂²	1	4	yes	complemented
134	#16811134	C₂²	1	4	yes	complemented
135	#16811133	C₂²	1	4	yes	complemented
136	#16811133	C₂²	1	4	yes	complemented
137	#16811132	C₂²	1	8	yes	complemented
138	#16811132	C₂²	1	8	yes	complemented
139	#16811131	C₂²	1	8	yes	complemented
140	#16811130	C₂²	1	4	yes	complemented
141	#16811129	C₂²	1	8	yes	complemented
142	#123×D₅₃	C₂²	1	8	yes	complemented
143	#123×D₅₃	C₂²	1	8	yes	complemented
144	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
145	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	—
146	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
147	#121×D₅₃	C₂²	1	4	yes	—
148	#121×D₅₃	C₂²	1	4	yes	—
149	#121×D₅₃	C₂²	1	2	yes	—
150	#121×D₅₃	C₂²	1	2	yes	—
151	#121×D₅₃	C₂²	1	8	yes	complemented
152	#121×D₅₃	C₂²	1	4	yes	complemented
153	#120×D₅₃	C₂²	1	8	yes	—
154	#16811106	C₂²	1	2	yes	complemented
155	#16811105	C₂²	1	4	yes	complemented
156	#16811104	C₂²	1	2	yes	complemented
157	#16811104	C₂²	1	4	yes	complemented
158	#16811103	C₂²	1	2	yes	complemented
159	#16811103	C₂²	1	4	yes	complemented
160	#16811102	C₂²	1	8	yes	complemented
161	#16811102	C₂²	1	4	yes	complemented
162	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
163	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
164	C₄×Q₈×D₅₃	C₂²	1	4	yes	complemented
165	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
166	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
167	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
169	C₂×#13133177	C₂²	1	2	yes	complemented
170	C₄×D₄×D₅₃	C₂²	1	2	yes	—
171	C₄×D₄×D₅₃	C₂²	1	2	yes	—
172	C₄×D₄×D₅₃	C₂²	1	8	yes	—
173	C₄×D₄×D₅₃	C₂²	1	2	yes	—
174	C₄×D₄×D₅₃	C₂²	1	2	yes	—
175	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
176	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
177	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
178	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
179	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
180	C₄×D₄×D₅₃	C₂²	1	8	yes	complemented
181	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
182	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
183	#117×D₅₃	C₂²	1	2	yes	—
184	#117×D₅₃	C₂²	1	4	yes	complemented
185	#117×D₅₃	C₂²	1	4	yes	complemented
186	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
187	C₂×C₄⋊C₄×D₅₃	C₂²	1	4	yes	complemented
188	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
189	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
190	C₅₃×#559	C₂²	1	4	yes	complemented
191	C₅₃×#556	C₂²	1	2	yes	complemented
192	C₅₃×#555	C₂²	1	2	yes	complemented
193	C₅₃×#553	C₂²	1	4	yes	complemented
194	C₅₃×#550	C₂²	1	2	yes	complemented
195	C₅₃×#547	C₂²	1	2	yes	complemented
196	C₅₃×#538	C₂²	1	4	yes	complemented
197	C₅₃×#535	C₂²	1	2	yes	complemented
198	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
199	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
200	C₅₃×#525	C₂²	1	4	yes	complemented
201	C₅₃×#520	C₂²	1	2	yes	complemented
202	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₅₃	C₂³	1	2	yes	—
204	C₂×#11719949	C₂³	1	2	yes	—
205	C₂×#11719949	C₂³	1	4	yes	complemented
206	C₂×#11719945	C₂³	1	2	yes	—
207	C₂×#11719945	C₂³	1	4	yes	—
208	C₂×#11719945	C₂³	1	8	yes	complemented
209	C₂×#11719945	C₂³	1	4	yes	complemented
210	C₂×#11719947	C₂³	1	4	yes	—
211	C₂×#11719947	C₂³	1	2	yes	—
212	C₂×#11719947	C₂³	1	8	yes	complemented
213	C₂×#11719947	C₂³	1	4	yes	complemented
214	#41×D₅₃	—	2	16	no	—
215	#41×D₅₃	—	4	16	no	—
216	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
217	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
218	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
219	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
220	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
221	C₂×D₄×D₅₃	—	2	8	no	—
222	C₂×D₄×D₅₃	C₂³	1	4	yes	—
223	C₂×D₄×D₅₃	C₂³	1	2	yes	—
224	C₂×D₄×D₅₃	C₂³	1	2	yes	—
225	C₂×D₄×D₅₃	C₂³	1	2	yes	—
226	C₂×D₄×D₅₃	C₂³	1	2	yes	—
227	C₂×D₄×D₅₃	C₂³	1	2	yes	—
228	C₂×D₄×D₅₃	C₂³	1	2	yes	—
229	C₂×D₄×D₅₃	C₂³	1	8	yes	—
230	C₂×D₄×D₅₃	C₂³	1	2	yes	—
231	C₂×D₄×D₅₃	C₂³	1	8	yes	—
232	C₂³×Dic₅₃	C₂³	1	2	yes	—
233	C₂²×C₄×D₅₃	—	4	8	no	—
234	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
236	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
237	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
239	C₂²×C₄×D₅₃	C₂³	1	8	yes	—
240	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
241	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
242	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
243	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
244	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
245	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
246	#13133217	C₂³	1	1	yes	characteristic, complemented
247	#13133217	C₂³	1	1	yes	characteristic, complemented
248	#13133217	C₂³	1	1	yes	characteristic, complemented
249	#13133216	C₂³	1	2	yes	complemented
250	#13133216	C₂³	1	2	yes	complemented
251	#13133216	C₂³	1	2	yes	complemented
252	#13133216	C₂³	1	2	yes	complemented
253	#13133216	C₂³	1	2	yes	complemented
254	#13133216	C₂³	1	2	yes	complemented
255	#13133215	C₂³	1	2	yes	complemented
256	#13133215	C₂³	1	2	yes	complemented
257	#13133215	C₂³	1	2	yes	complemented
258	#13133214	C₂³	1	4	yes	—
259	#13133214	C₂³	1	1	yes	characteristic, complemented
260	#13133213	C₂³	1	8	yes	—
261	#13133213	C₂³	1	8	yes	—
262	#13133213	C₂³	1	4	yes	—
263	#13133213	C₂³	1	4	yes	—
264	#13133213	C₂³	1	2	yes	complemented
265	#13133213	C₂³	1	2	yes	complemented
266	#13133213	C₂³	1	2	yes	complemented
267	#13133212	C₂³	1	8	yes	complemented
268	#13133212	C₂³	1	8	yes	complemented
269	#13133212	C₂³	1	8	yes	complemented
270	#13133211	C₂³	1	8	yes	complemented
271	#13133210	C₂³	1	8	yes	complemented
272	#13133210	C₂³	1	8	yes	complemented
273	#13133210	C₂³	1	8	yes	complemented
274	#13133209	C₂³	1	2	yes	complemented
275	#13133208	C₂³	1	2	yes	complemented
276	#13133208	C₂³	1	2	yes	complemented
277	#13133207	C₂³	1	4	yes	complemented
278	#13133207	C₂³	1	4	yes	complemented
279	#13133206	C₂³	1	4	yes	—
280	#13133206	C₂³	1	8	yes	complemented
281	#13133206	C₂³	1	2	yes	complemented
282	#13133205	C₂³	1	4	yes	—
283	#13133205	C₂³	1	8	yes	complemented
284	#13133205	C₂³	1	2	yes	complemented
285	#13133204	C₂³	1	4	yes	—
286	#13133204	C₂³	1	8	yes	complemented
287	#13133204	C₂³	1	2	yes	complemented
288	#13133203	C₂³	1	8	yes	—
289	#13133203	C₂³	1	8	yes	—
290	#13133203	C₂³	1	8	yes	complemented
291	#13133203	C₂³	1	8	yes	complemented
292	#13133203	C₂³	1	8	yes	complemented
293	#13133203	C₂³	1	8	yes	complemented
294	#13133203	C₂³	1	4	yes	complemented
295	#13133203	C₂³	1	4	yes	complemented
296	#13133202	C₂³	1	8	yes	complemented
297	#13133202	C₂³	1	8	yes	complemented
298	#13133202	C₂³	1	8	yes	complemented
299	#13133202	C₂³	1	8	yes	complemented
300	#13133201	C₂³	1	8	yes	complemented
301	#13133201	C₂³	1	8	yes	complemented
302	#13133200	C₂³	1	8	yes	complemented
303	#13133200	C₂³	1	8	yes	complemented
304	#13133199	C₂³	1	8	yes	complemented
305	#13133199	C₂³	1	8	yes	complemented
306	#13133199	C₂³	1	8	yes	complemented
307	#13133199	C₂³	1	8	yes	complemented
308	#13133198	C₂³	1	8	yes	complemented
309	#13133198	C₂³	1	8	yes	complemented
310	#13133197	C₂³	1	2	yes	—
311	#13133197	C₂³	1	2	yes	—
312	#13133197	C₂³	1	4	yes	complemented
313	#13133196	C₂³	1	2	yes	—
314	#13133196	C₂³	1	2	yes	—
315	#13133196	C₂³	1	4	yes	complemented
316	#13133195	C₂³	1	4	yes	—
317	#13133195	C₂³	1	4	yes	—
318	#13133195	C₂³	1	8	yes	complemented
319	#13133194	C₂³	1	4	yes	—
320	#13133194	C₂³	1	4	yes	—
321	#13133194	C₂³	1	8	yes	complemented
322	#13133193	C₂³	1	2	yes	—
323	#13133193	C₂³	1	2	yes	—
324	#13133193	C₂³	1	4	yes	complemented
325	#13133192	C₂³	1	4	yes	—
326	#13133192	C₂³	1	4	yes	—
327	#13133192	C₂³	1	2	yes	—
328	#13133192	C₂³	1	2	yes	—
329	#13133192	C₂³	1	8	yes	complemented
330	#13133192	C₂³	1	4	yes	complemented
331	#13133191	C₂³	1	4	yes	—
332	#13133191	C₂³	1	4	yes	—
333	#13133191	C₂³	1	2	yes	—
334	#13133191	C₂³	1	2	yes	—
335	#13133191	C₂³	1	8	yes	complemented
336	#13133191	C₂³	1	4	yes	complemented
337	#13133190	C₂³	1	8	yes	—
338	#13133190	C₂³	1	8	yes	—
339	#13133190	C₂³	1	4	yes	—
340	#13133190	C₂³	1	4	yes	—
341	#13133190	C₂³	1	8	yes	complemented
342	#13133190	C₂³	1	8	yes	complemented
343	#13133190	C₂³	1	8	yes	complemented
344	#13133189	C₂³	1	8	yes	—
345	#13133189	C₂³	1	8	yes	—
346	#13133189	C₂³	1	4	yes	—
347	#13133189	C₂³	1	4	yes	—
348	#13133189	C₂³	1	8	yes	complemented
349	#13133189	C₂³	1	8	yes	complemented
350	#13133189	C₂³	1	8	yes	complemented
351	#13133188	C₂³	1	4	yes	—
352	#13133188	C₂³	1	4	yes	—
353	#13133188	C₂³	1	2	yes	—
354	#13133188	C₂³	1	2	yes	—
355	#13133188	C₂³	1	8	yes	complemented
356	#13133188	C₂³	1	4	yes	complemented
357	#13133187	C₂³	1	8	yes	—
358	#13133187	C₂³	1	8	yes	—
359	#13133187	C₂³	1	8	yes	—
360	#13133186	C₂³	1	8	yes	—
361	#13133185	C₂³	1	8	yes	—
362	#13133185	C₂³	1	8	yes	—
363	#13133185	C₂³	1	8	yes	—
364	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
365	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
366	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
367	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
368	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
369	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
370	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
371	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
372	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
373	#13133182	C₂³	1	4	yes	complemented
374	#13133182	C₂³	1	2	yes	complemented
375	#13133182	C₂³	1	8	yes	complemented
376	#13133182	C₂³	1	4	yes	complemented
377	#13133182	C₂³	1	4	yes	complemented
378	#13133182	C₂³	1	2	yes	complemented
379	C₄×D₂₁₂	C₂³	1	2	yes	—
380	C₄×D₂₁₂	C₂³	1	2	yes	—
381	C₄×D₂₁₂	C₂³	1	2	yes	—
382	C₄×D₂₁₂	C₂³	1	2	yes	—
383	C₄×D₂₁₂	C₂³	1	8	yes	—
384	C₄×D₂₁₂	C₂³	1	2	yes	complemented
385	C₄×D₂₁₂	C₂³	1	4	yes	complemented
386	C₄×D₂₁₂	C₂³	1	8	yes	complemented
387	C₄×D₂₁₂	C₂³	1	2	yes	complemented
388	D₄×Dic₅₃	C₂³	1	2	yes	—
389	D₄×Dic₅₃	C₂³	1	2	yes	—
390	D₄×Dic₅₃	C₂³	1	2	yes	—
391	D₄×Dic₅₃	C₂³	1	2	yes	—
392	D₄×Dic₅₃	C₂³	1	8	yes	—
393	D₄×Dic₅₃	C₂³	1	2	yes	complemented
394	D₄×Dic₅₃	C₂³	1	4	yes	complemented
395	D₄×Dic₅₃	C₂³	1	2	yes	complemented
396	D₄×Dic₅₃	C₂³	1	8	yes	complemented
397	#13133179	C₂³	1	2	yes	—
398	#13133179	C₂³	1	2	yes	—
399	#13133179	C₂³	1	2	yes	—
400	#13133179	C₂³	1	2	yes	—
401	#13133179	C₂³	1	8	yes	—
402	#13133179	C₂³	1	2	yes	complemented
403	#13133179	C₂³	1	4	yes	complemented
404	#13133179	C₂³	1	8	yes	complemented
405	#13133179	C₂³	1	2	yes	complemented
406	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
407	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
408	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
409	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
410	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
411	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
412	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
413	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
414	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
415	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
416	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
417	#13133177	C₂³	1	4	yes	—
418	#13133177	C₂³	1	4	yes	—
419	#13133177	C₂³	1	4	yes	—
420	#13133177	C₂³	1	4	yes	—
421	#13133177	C₂³	1	8	yes	—
422	#13133177	C₂³	1	8	yes	—
423	#13133177	C₂³	1	4	yes	complemented
424	#13133177	C₂³	1	8	yes	complemented
425	#13133177	C₂³	1	4	yes	complemented
426	#13133177	C₂³	1	8	yes	complemented
427	#13133177	C₂³	1	8	yes	complemented
428	#13133176	C₂³	1	2	yes	—
429	#13133176	C₂³	1	4	yes	complemented
430	#13133176	C₂³	1	4	yes	complemented
431	#13133175	C₂³	1	2	yes	—
432	#13133175	C₂³	1	2	yes	—
433	#13133175	C₂³	1	4	yes	complemented
434	#13133175	C₂³	1	4	yes	complemented
435	#13133175	C₂³	1	4	yes	complemented
436	#13133175	C₂³	1	4	yes	complemented
437	#13133174	C₂³	1	4	yes	—
438	#13133174	C₂³	1	8	yes	complemented
439	#13133174	C₂³	1	8	yes	complemented
440	#13133173	C₂³	1	4	yes	—
441	#13133173	C₂³	1	8	yes	complemented
442	#13133173	C₂³	1	8	yes	complemented
443	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
444	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
445	C₂×#11719919	C₂³	1	2	yes	—
446	C₂×#11719919	C₂³	1	8	yes	complemented
447	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
448	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
449	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
450	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
451	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
452	C₄⋊C₄×D₅₃	C₂³	1	8	yes	—
453	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
454	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
455	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
456	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
457	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
458	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
459	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
460	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
461	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
462	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
463	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
464	C₂×#11719921	C₂³	1	2	yes	—
465	C₂×#11719921	C₂³	1	2	yes	—
466	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
467	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
468	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
469	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
470	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
471	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
472	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
473	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
474	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
475	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
476	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
478	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
479	C₄²×D₅₃	C₂³	1	1	yes	characteristic
480	C₄²×D₅₃	C₂³	1	1	yes	characteristic
481	C₄²×D₅₃	C₂³	1	1	yes	characteristic
482	C₄²×D₅₃	C₂³	1	1	yes	characteristic
483	C₄²×D₅₃	C₂³	1	1	yes	characteristic
484	C₄²×D₅₃	C₂³	1	1	yes	characteristic
485	C₄²×D₅₃	C₂³	1	1	yes	characteristic
486	C₄²×D₅₃	C₂³	1	1	yes	characteristic
487	C₄²×D₅₃	C₂³	1	4	yes	—
488	C₄²×D₅₃	C₂³	1	8	yes	—
489	C₂×#41×C₅₃	C₂³	1	2	yes	—
490	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
491	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
492	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
493	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
494	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
495	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
496	#127×C₅₃	C₂³	1	4	yes	—
497	#127×C₅₃	C₂³	1	1	yes	characteristic, complemented
498	#126×C₅₃	C₂³	1	8	yes	complemented
499	#125×C₅₃	C₂³	1	2	yes	complemented
500	#124×C₅₃	C₂³	1	4	yes	—
501	#124×C₅₃	C₂³	1	2	yes	complemented
502	#124×C₅₃	C₂³	1	8	yes	complemented
503	#123×C₅₃	C₂³	1	8	yes	complemented
504	#123×C₅₃	C₂³	1	8	yes	complemented
505	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
506	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
507	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
508	#121×C₅₃	C₂³	1	4	yes	—
509	#121×C₅₃	C₂³	1	2	yes	—
510	#121×C₅₃	C₂³	1	2	yes	—
511	#121×C₅₃	C₂³	1	4	yes	—
512	#121×C₅₃	C₂³	1	4	yes	complemented
513	#121×C₅₃	C₂³	1	8	yes	complemented
514	#120×C₅₃	C₂³	1	8	yes	—
515	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
516	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
517	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
518	C₄×D₄×C₅₃	C₂³	1	2	yes	—
519	C₄×D₄×C₅₃	C₂³	1	2	yes	—
520	C₄×D₄×C₅₃	C₂³	1	2	yes	—
521	C₄×D₄×C₅₃	C₂³	1	2	yes	—
522	C₄×D₄×C₅₃	C₂³	1	8	yes	—
523	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
524	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
525	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
526	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
527	#117×C₅₃	C₂³	1	2	yes	—
528	#117×C₅₃	C₂³	1	4	yes	complemented
529	#117×C₅₃	C₂³	1	4	yes	complemented
530	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
531	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	complemented
532	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
533	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
534	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
535	C₂³×D₅₃	—	2	8	no	—
536	C₂³×D₅₃	—	4	4	no	—
537	C₂³×D₅₃	—	4	4	no	—
538	C₂³×D₅₃	C₂⁴	1	4	yes	—
539	C₂³×D₅₃	C₂⁴	1	4	yes	—
540	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
541	C₂³×D₅₃	C₂⁴	1	4	yes	—
542	C₂³×D₅₃	C₂⁴	1	2	yes	—
543	#41×C₅₃	—	2	8	no	—
544	#41×C₅₃	—	4	8	no	—
545	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
546	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
548	C₂×D₄×C₅₃	—	2	4	no	—
549	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
550	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
551	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
552	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
553	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
554	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
555	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
556	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
557	C₂²×C₄×C₅₃	—	4	4	no	—
558	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
560	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
561	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
563	C₂²×C₄×C₅₃	C₂⁴	1	8	yes	—
564	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
565	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
566	C₂×C₂²⋊D₅₃	—	2	8	no	—
567	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
568	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
569	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
570	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
571	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
572	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
573	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
574	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
575	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
576	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
577	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
578	C₂²×Dic₅₃	—	4	4	no	—
579	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
580	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
581	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
582	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
584	C₂²×Dic₅₃	C₂⁴	1	8	yes	—
585	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
586	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
587	#11719949	—	2	8	no	—
588	#11719949	—	4	8	no	—
589	Q₈×D₅₃	—	2	8	no	—
590	Q₈×D₅₃	—	2	8	no	—
591	Q₈×D₅₃	—	4	4	no	—
592	#11719947	—	2	16	no	—
593	#11719947	—	2	8	no	—
594	#11719947	—	4	8	no	—
595	#11719947	—	4	16	no	—
596	D₄×D₅₃	—	2	16	no	—
597	D₄×D₅₃	—	2	8	no	—
598	D₄×D₅₃	—	2	8	no	—
599	D₄×D₅₃	—	2	8	no	—
600	D₄×D₅₃	—	2	8	no	—
601	D₄×D₅₃	—	2	8	no	—
602	D₄×D₅₃	—	2	8	no	—
603	D₄×D₅₃	—	4	4	no	—
604	D₄×D₅₃	—	4	16	no	—
605	D₄×D₅₃	—	4	16	no	—
606	#11719945	—	2	8	no	—
607	#11719945	—	2	16	no	—
608	#11719945	—	4	16	no	—
609	#11719945	—	4	8	no	—
610	C₂×D₂₁₂	—	2	4	no	—
611	C₂×D₂₁₂	C₂⁴	1	4	yes	—
612	C₂×D₂₁₂	C₂⁴	1	2	yes	—
613	C₂×D₂₁₂	C₂⁴	1	2	yes	—
614	C₂×D₂₁₂	C₂⁴	1	2	yes	—
615	C₂×D₂₁₂	C₂⁴	1	2	yes	—
616	C₂×D₂₁₂	C₂⁴	1	8	yes	—
617	C₂×D₂₁₂	C₂⁴	1	2	yes	—
618	C₂×D₂₁₂	C₂⁴	1	8	yes	—
619	C₂×C₄×D₅₃	—	2	16	no	—
620	C₂×C₄×D₅₃	—	2	4	no	—
621	C₂×C₄×D₅₃	—	2	16	no	—
622	C₂×C₄×D₅₃	—	4	8	no	—
623	C₂×C₄×D₅₃	—	4	4	no	—
624	C₂×C₄×D₅₃	—	4	8	no	—
625	C₂×C₄×D₅₃	—	4	4	no	—
626	C₂×C₄×D₅₃	—	4	4	no	—
627	C₂×C₄×D₅₃	—	4	8	no	—
628	C₂×C₄×D₅₃	—	4	2	no	—
629	C₂×C₄×D₅₃	—	4	16	no	—
630	C₂×C₄×D₅₃	#41	1	8	yes	complemented
631	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
632	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
634	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
637	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
638	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
640	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
641	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
642	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
643	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
644	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
645	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
646	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
647	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
648	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
649	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
650	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
651	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
652	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
653	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
654	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
655	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
656	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
657	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
658	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
659	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
660	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
661	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
662	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
663	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
664	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
665	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	—
666	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
667	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
668	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
669	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
670	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
671	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
672	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
673	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
674	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
675	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
676	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
677	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
678	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
679	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
680	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
681	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
682	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
683	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
684	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
685	C₄²×C₅₃	C₂⁴	1	4	yes	—
686	C₄²×C₅₃	C₂⁴	1	8	yes	—
687	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
688	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
689	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
690	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
691	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
692	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
693	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
694	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
695	#11719921	C₂⁴	1	4	yes	—
696	#11719921	C₂⁴	1	4	yes	—
697	#11719921	C₂⁴	1	4	yes	—
698	#11719921	C₂⁴	1	4	yes	—
699	#11719921	C₂⁴	1	4	yes	—
700	#11719921	C₂⁴	1	4	yes	—
701	#11719921	C₂⁴	1	8	yes	—
702	#11719921	C₂⁴	1	8	yes	—
703	#11719921	C₂⁴	1	8	yes	—
704	#11719921	C₂⁴	1	8	yes	—
705	#11719921	C₂⁴	1	4	yes	—
706	#11719921	C₂⁴	1	4	yes	—
707	#11719921	C₂⁴	1	8	yes	—
708	#11719921	C₂⁴	1	4	yes	—
709	#11719921	C₂⁴	1	8	yes	—
710	#11719921	C₂⁴	1	4	yes	—
711	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
712	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
713	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
714	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
715	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
716	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
717	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
718	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
719	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
720	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
721	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
722	#11719919	C₂⁴	1	4	yes	—
723	#11719919	C₂⁴	1	4	yes	—
724	#11719919	C₂⁴	1	4	yes	—
725	#11719919	C₂⁴	1	8	yes	—
726	#11719919	C₂⁴	1	8	yes	—
727	#11719919	C₂⁴	1	4	yes	—
728	#11719919	C₂⁴	1	4	yes	—
729	#11719919	C₂⁴	1	4	yes	—
730	#11719919	C₂⁴	1	4	yes	—
731	#11719919	C₂⁴	1	4	yes	—
732	#11719919	C₂⁴	1	4	yes	—
733	#11719919	C₂⁴	1	4	yes	—
734	#11719919	C₂⁴	1	4	yes	—
735	#11719919	C₂⁴	1	4	yes	—
736	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
737	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
738	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
739	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
740	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
741	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
742	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
743	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
744	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
745	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
746	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
747	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
748	C₄×Dic₅₃	C₂⁴	1	4	yes	—
749	C₄×Dic₅₃	C₂⁴	1	4	yes	—
750	C₄×Dic₅₃	C₂⁴	1	8	yes	—
751	C₄×Dic₅₃	C₂⁴	1	8	yes	—
752	C₄×Dic₅₃	C₂⁴	1	8	yes	—
753	C₄×Dic₅₃	C₂⁴	1	4	yes	—
754	C₂³×C₅₃	—	2	4	no	—
755	C₂³×C₅₃	—	4	2	no	—
756	C₂³×C₅₃	—	4	2	no	—
757	C₂³×C₅₃	C₂⁵	1	4	yes	—
758	C₂³×C₅₃	C₂⁵	1	4	yes	—
759	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
760	C₂²×D₅₃	—	2	2	no	—
761	C₂²×D₅₃	—	2	2	no	—
762	C₂²×D₅₃	—	2	4	no	—
763	C₂²×D₅₃	—	2	8	no	—
764	C₂²×D₅₃	—	2	8	no	—
765	C₂²×D₅₃	—	2	8	no	—
766	C₂²×D₅₃	—	2	8	no	—
767	C₂²×D₅₃	—	2	8	no	—
768	C₂²×D₅₃	—	2	8	no	—
769	C₂²×D₅₃	—	2	8	no	—
770	C₂²×D₅₃	—	4	4	no	—
771	C₂²×D₅₃	—	4	2	no	—
772	C₂²×D₅₃	—	4	4	no	—
773	C₂²×D₅₃	—	4	2	no	—
774	C₂²×D₅₃	—	4	32	no	—
775	C₂²×D₅₃	C₂×#41	1	4	yes	—
776	C₂²×D₅₃	C₂⁵	1	4	yes	—
777	C₂²×D₅₃	C₂⁵	1	4	yes	—
778	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
779	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
780	Q₈×C₅₃	—	2	4	no	—
781	Q₈×C₅₃	—	2	4	no	—
782	Q₈×C₅₃	—	4	2	no	—
783	D₄×C₅₃	—	2	8	no	—
784	D₄×C₅₃	—	2	4	no	—
785	D₄×C₅₃	—	2	4	no	—
786	D₄×C₅₃	—	2	4	no	—
787	D₄×C₅₃	—	2	4	no	—
788	D₄×C₅₃	—	4	8	no	—
789	D₄×C₅₃	—	4	8	no	—
790	D₄×C₅₃	—	4	2	no	—
791	C₂×C₄×C₅₃	—	2	8	no	—
792	C₂×C₄×C₅₃	—	2	2	no	—
793	C₂×C₄×C₅₃	—	2	8	no	—
794	C₂×C₄×C₅₃	—	4	2	no	—
795	C₂×C₄×C₅₃	—	4	4	no	—
796	C₂×C₄×C₅₃	—	4	8	no	—
797	C₂×C₄×C₅₃	—	4	1	no	—
798	C₂×C₄×C₅₃	C₂×#41	1	4	yes	complemented
799	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
800	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
801	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
802	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
803	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
804	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
805	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
806	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
807	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
808	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
809	C₂²⋊D₅₃	—	2	8	no	—
810	C₂²⋊D₅₃	—	2	8	no	—
811	C₂²⋊D₅₃	—	2	8	no	—
812	C₂²⋊D₅₃	—	2	8	no	—
813	C₂²⋊D₅₃	—	2	8	no	—
814	C₂²⋊D₅₃	—	2	8	no	—
815	C₂²⋊D₅₃	—	4	8	no	—
816	C₂²⋊D₅₃	—	4	8	no	—
817	C₂²⋊D₅₃	—	4	8	no	—
818	C₂²⋊D₅₃	—	4	8	no	—
819	C₂²⋊D₅₃	—	4	4	no	—
820	C₂×Dic₅₃	—	2	8	no	—
821	C₂×Dic₅₃	—	2	2	no	—
822	C₂×Dic₅₃	—	2	8	no	—
823	C₂×Dic₅₃	—	4	2	no	—
824	C₂×Dic₅₃	—	4	4	no	—
825	C₂×Dic₅₃	—	4	8	no	—
826	C₂×Dic₅₃	—	4	1	no	—
827	C₂×Dic₅₃	C₂×#41	1	4	yes	complemented
828	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
829	C₂×Dic₅₃	C₂⁵	1	4	yes	—
830	C₂×Dic₅₃	C₂⁵	1	4	yes	—
831	C₂×Dic₅₃	C₂⁵	1	4	yes	—
832	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
833	C₂×Dic₅₃	C₂⁵	1	4	yes	—
834	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
835	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
836	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
837	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
838	D₂₁₂	—	2	8	no	—
839	D₂₁₂	—	2	4	no	—
840	D₂₁₂	—	2	4	no	—
841	D₂₁₂	—	2	4	no	—
842	D₂₁₂	—	2	4	no	—
843	D₂₁₂	—	4	8	no	—
844	D₂₁₂	—	4	8	no	—
845	D₂₁₂	—	4	2	no	—
846	C₄×D₅₃	—	2	8	no	—
847	C₄×D₅₃	—	2	2	no	—
848	C₄×D₅₃	—	2	8	no	—
849	C₄×D₅₃	—	2	8	no	—
850	C₄×D₅₃	—	2	2	no	—
851	C₄×D₅₃	—	2	2	no	—
852	C₄×D₅₃	—	2	8	no	—
853	C₄×D₅₃	—	2	8	no	—
854	C₄×D₅₃	—	2	2	no	—
855	C₄×D₅₃	—	2	8	no	—
856	C₄×D₅₃	—	2	8	no	—
857	C₄×D₅₃	—	2	2	no	—
858	C₄×D₅₃	—	2	8	no	—
859	C₄×D₅₃	—	4	4	no	—
860	C₄×D₅₃	—	4	4	no	—
861	C₄×D₅₃	—	4	4	no	—
862	C₄×D₅₃	—	4	1	no	—
863	C₄×D₅₃	—	4	1	no	—
864	C₄×D₅₃	—	4	8	no	—
865	C₄×D₅₃	—	4	8	no	—
866	C₄×D₅₃	C₂×#41	1	4	yes	—
867	C₄×D₅₃	C₂×#41	1	4	yes	—
868	C₄×D₅₃	C₂×#41	1	4	yes	complemented
869	C₄×D₅₃	C₂×#41	1	4	yes	complemented
870	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
871	Dic₁₀₆	—	2	4	no	—
872	Dic₁₀₆	—	2	4	no	—
873	Dic₁₀₆	—	2	8	no	—
874	Dic₁₀₆	—	2	8	no	—
875	Dic₁₀₆	—	4	4	no	—
876	Dic₁₀₆	—	4	2	no	—
877	C₂×#3506	—	53	1	no	maximal, Sylow
878	C₂²×C₅₃	—	2	1	no	—
879	C₂²×C₅₃	—	2	1	no	—
880	C₂²×C₅₃	—	2	4	no	—
881	C₂²×C₅₃	—	2	4	no	—
882	C₂²×C₅₃	—	2	4	no	—
883	C₂²×C₅₃	—	2	4	no	—
884	C₂²×C₅₃	—	2	4	no	—
885	C₂²×C₅₃	—	2	4	no	—
886	C₂²×C₅₃	—	4	8	no	—
887	C₂²×C₅₃	C₂²×#41	1	2	yes	—
888	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
889	C₂×D₅₃	—	2	1	no	—
890	C₂×D₅₃	—	2	1	no	—
891	C₂×D₅₃	—	2	8	no	—
892	C₂×D₅₃	—	2	4	no	—
893	C₂×D₅₃	—	2	4	no	—
894	C₂×D₅₃	—	2	4	no	—
895	C₂×D₅₃	—	2	4	no	—
896	C₂×D₅₃	—	2	4	no	—
897	C₂×D₅₃	—	2	4	no	—
898	C₂×D₅₃	—	4	16	no	—
899	C₂×D₅₃	—	4	8	no	—
900	C₂×D₅₃	—	4	16	no	—
901	C₂×D₅₃	—	4	16	no	—
902	C₂×D₅₃	C₂²×#41	1	2	yes	—
903	C₂×D₅₃	C₂²×#41	1	2	yes	—
904	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
905	C₂×D₅₃	#585	1	2	yes	—
906	C₄×C₅₃	—	2	4	no	—
907	C₄×C₅₃	—	2	4	no	—
908	C₄×C₅₃	—	2	1	no	—
909	C₄×C₅₃	—	2	4	no	—
910	C₄×C₅₃	—	2	1	no	—
911	C₄×C₅₃	—	2	4	no	—
912	C₄×C₅₃	—	2	1	no	—
913	C₄×C₅₃	C₂²×#41	1	2	yes	—
914	C₄×C₅₃	C₂²×#41	1	2	yes	—
915	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
916	Dic₅₃	—	2	4	no	—
917	Dic₅₃	—	2	4	no	—
918	Dic₅₃	—	2	1	no	—
919	Dic₅₃	—	2	4	no	—
920	Dic₅₃	—	2	1	no	—
921	Dic₅₃	—	2	4	no	—
922	Dic₅₃	—	2	1	no	—
923	Dic₅₃	C₂²×#41	1	2	yes	—
924	Dic₅₃	C₂²×#41	1	2	yes	—
925	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
926	#3506	—	53	4	no	—
927	#3506	—	53	2	no	—
928	#3506	—	53	2	no	—
929	#3506	—	53	4	no	—
930	#3506	—	53	2	no	—
931	#3506	—	53	2	no	—
932	#3506	—	53	4	no	—
933	#3506	—	53	2	no	—
934	#3506	—	53	1	no	—
935	#3506	—	53	1	no	—
936	#3506	—	53	4	no	—
937	#3506	—	53	2	no	—
938	#3506	—	53	1	no	—
939	#3506	D₅₃	1	1	yes	characteristic, direct product factor
940	C₂×#559	—	53	4	no	—
941	C₂×#556	—	53	2	no	—
942	C₂×#555	—	53	2	no	—
943	C₂×#553	—	53	4	no	—
944	C₂×#550	—	53	2	no	—
945	C₂×#547	—	53	2	no	—
946	C₂×#538	—	53	4	no	—
947	C₂×#535	—	53	2	no	—
948	C₂×#533	—	53	1	no	—
949	C₂×#532	—	53	1	no	—
950	C₂×#525	—	53	4	no	—
951	C₂×#520	—	53	2	no	—
952	C₂²×C₄×D₄	—	53	1	no	—
953	C₂×C₅₃	—	2	2	no	—
954	C₂×C₅₃	—	4	4	no	—
955	C₂×C₅₃	—	4	4	no	—
956	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
957	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
958	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
959	D₅₃	—	2	2	no	—
960	D₅₃	—	4	4	no	—
961	D₅₃	—	4	4	no	—
962	D₅₃	#3506	1	4	yes	direct product factor
963	C₂²×#41	—	53	2	no	—
964	C₂²×#41	—	53	4	no	—
965	C₂³×D₄	—	53	1	no	—
966	C₂⁴×C₄	—	53	2	no	—
967	#559	—	53	4	no	—
968	#559	—	53	4	no	—
969	#559	—	53	4	no	—
970	#559	—	53	8	no	—
971	#559	—	53	8	no	—
972	#559	—	53	8	no	—
973	#559	—	53	4	no	—
974	#559	—	53	4	no	—
975	#559	—	53	4	no	—
976	#559	—	53	8	no	—
977	#559	—	53	4	no	—
978	#559	C₂×D₅₃	1	4	yes	complemented
979	#556	—	53	2	no	—
980	#556	—	53	8	no	—
981	#556	—	53	4	no	—
982	#556	—	53	4	no	—
983	#556	—	53	4	no	—
984	#556	—	53	2	no	—
985	#556	—	53	2	no	—
986	#556	—	53	4	no	—
987	#556	C₂×D₅₃	1	2	yes	complemented
988	#555	—	53	2	no	—
989	#555	—	53	8	no	—
990	#555	—	53	4	no	—
991	#555	—	53	4	no	—
992	#555	—	53	2	no	—
993	#555	—	53	2	no	—
994	#555	—	53	4	no	—
995	#555	—	53	4	no	—
996	#555	C₂×D₅₃	1	2	yes	complemented
997	#553	—	53	8	no	—
998	#553	—	53	4	no	—
999	#553	—	53	8	no	—
1000	#553	—	53	4	no	—
1001	#553	—	53	4	no	—
1002	#553	—	53	8	no	—
1003	#553	—	53	4	no	—
1004	#553	—	53	4	no	—
1005	#553	—	53	8	no	—
1006	#553	—	53	4	no	—
1007	#553	—	53	4	no	—
1008	#553	C₂×D₅₃	1	4	yes	complemented
1009	#550	—	53	4	no	—
1010	#550	—	53	4	no	—
1011	#550	—	53	2	no	—
1012	#550	—	53	4	no	—
1013	#550	—	53	8	no	—
1014	#550	—	53	2	no	—
1015	#550	—	53	2	no	—
1016	#550	—	53	4	no	—
1017	#550	C₂×D₅₃	1	2	yes	complemented
1018	#547	—	53	4	no	—
1019	#547	—	53	2	no	—
1020	#547	—	53	8	no	—
1021	#547	—	53	4	no	—
1022	#547	—	53	4	no	—
1023	#547	—	53	2	no	—
1024	#547	—	53	2	no	—
1025	#547	—	53	4	no	—
1026	#547	C₂×D₅₃	1	2	yes	complemented
1027	#538	—	53	8	no	—
1028	#538	—	53	8	no	—
1029	#538	—	53	8	no	—
1030	#538	—	53	4	no	—
1031	#538	—	53	4	no	—
1032	#538	—	53	8	no	—
1033	#538	—	53	8	no	—
1034	#538	—	53	8	no	—
1035	#538	—	53	4	no	—
1036	#538	C₂×D₅₃	1	4	yes	complemented
1037	#535	—	53	2	no	—
1038	#535	—	53	2	no	—
1039	#535	—	53	4	no	—
1040	#535	—	53	4	no	—
1041	#535	—	53	4	no	—
1042	#535	—	53	4	no	—
1043	#535	—	53	8	no	—
1044	#535	—	53	2	no	—
1045	#535	C₂×D₅₃	1	2	yes	complemented
1046	#533	—	53	1	no	—
1047	#533	—	53	1	no	—
1048	#533	—	53	2	no	—
1049	#533	—	53	2	no	—
1050	#533	—	53	2	no	—
1051	#533	—	53	2	no	—
1052	#533	—	53	2	no	—
1053	#533	—	53	2	no	—
1054	#533	—	53	1	no	—
1055	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1056	#532	—	53	2	no	—
1057	#532	—	53	1	no	—
1058	#532	—	53	1	no	—
1059	#532	—	53	2	no	—
1060	#532	—	53	2	no	—
1061	#532	—	53	2	no	—
1062	#532	—	53	2	no	—
1063	#532	—	53	2	no	—
1064	#532	—	53	1	no	—
1065	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1066	C₂×C₄⋊Q₈	—	53	1	no	—
1067	C₂×C₄⋊Q₈	—	53	1	no	—
1068	C₂×C₄⋊Q₈	—	53	1	no	—
1069	C₂×#127	—	53	4	no	—
1070	C₂×#127	—	53	1	no	—
1071	C₂×#126	—	53	8	no	—
1072	C₂×#125	—	53	2	no	—
1073	C₂×#124	—	53	4	no	—
1074	C₂×#124	—	53	2	no	—
1075	C₂×#124	—	53	8	no	—
1076	#525	—	53	4	no	—
1077	#525	—	53	4	no	—
1078	#525	—	53	8	no	—
1079	#525	—	53	4	no	—
1080	#525	—	53	4	no	—
1081	#525	—	53	4	no	—
1082	#525	—	53	4	no	—
1083	#525	—	53	8	no	—
1084	#525	—	53	8	no	—
1085	#525	—	53	8	no	—
1086	#525	—	53	4	no	—
1087	#525	C₂×D₅₃	1	4	yes	complemented
1088	C₂×#123	—	53	8	no	—
1089	C₂×#123	—	53	8	no	—
1090	C₂×C₂²⋊Q₈	—	53	2	no	—
1091	C₂×C₂²⋊Q₈	—	53	2	no	—
1092	C₂×C₂²⋊Q₈	—	53	4	no	—
1093	C₂×#121	—	53	2	no	—
1094	C₂×#121	—	53	2	no	—
1095	C₂×#121	—	53	4	no	—
1096	C₂×#121	—	53	4	no	—
1097	C₂×#121	—	53	4	no	—
1098	C₂×#121	—	53	8	no	—
1099	C₂×#120	—	53	8	no	—
1100	#520	—	53	2	no	—
1101	#520	—	53	4	no	—
1102	#520	—	53	8	no	—
1103	#520	—	53	4	no	—
1104	#520	—	53	2	no	—
1105	#520	—	53	4	no	—
1106	#520	—	53	2	no	—
1107	#520	—	53	4	no	—
1108	#520	C₂×D₅₃	1	2	yes	complemented
1109	C₂×C₄×Q₈	—	53	4	no	—
1110	C₂×C₄×Q₈	—	53	2	no	—
1111	C₂×C₄×Q₈	—	53	2	no	—
1112	C₂×C₄×D₄	—	53	1	no	—
1113	C₂×C₄×D₄	—	53	2	no	—
1114	C₂×C₄×D₄	—	53	2	no	—
1115	C₂×C₄×D₄	—	53	2	no	—
1116	C₂×C₄×D₄	—	53	2	no	—
1117	C₂×C₄×D₄	—	53	2	no	—
1118	C₂×C₄×D₄	—	53	8	no	—
1119	C₂×C₄×D₄	—	53	2	no	—
1120	C₂×C₄×D₄	—	53	2	no	—
1121	C₂×C₄×D₄	—	53	2	no	—
1122	C₂×C₄×D₄	—	53	2	no	—
1123	C₂×C₄×D₄	—	53	4	no	—
1124	C₂×C₄×D₄	—	53	8	no	—
1125	C₂×C₄×D₄	—	53	2	no	—
1126	C₂×C₄×D₄	—	53	2	no	—
1127	C₂×C₄×D₄	—	53	1	no	—
1128	C₂×C₄×D₄	—	53	2	no	—
1129	C₂×C₄×D₄	—	53	1	no	—
1130	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1131	C₂×#117	—	53	2	no	—
1132	C₂×#117	—	53	4	no	—
1133	C₂×#117	—	53	4	no	—
1134	C₂²×C₄⋊C₄	—	53	1	no	—
1135	C₂²×C₄⋊C₄	—	53	4	no	—
1136	C₂²×C₂²⋊C₄	—	53	2	no	—
1137	C₂²×C₄²	—	53	1	no	—
1138	C₅₃	C₂×#3506	1	1	yes	characteristic, complemented, Sylow
1139	C₂⁵	—	53	2	no	—
1140	C₂×#41	—	53	2	no	—
1141	C₂×#41	—	53	4	no	—
1142	C₂×#41	—	53	4	no	—
1143	C₂×#41	—	53	2	no	—
1144	C₂×#41	—	53	8	no	—
1145	C₂×#41	—	53	4	no	—
1146	C₂×#41	—	53	4	no	—
1147	C₂×#41	—	53	2	no	—
1148	C₂×#41	—	53	8	no	—
1149	C₂×#41	—	53	4	no	—
1150	C₂×#41	—	106	16	no	—
1151	C₂×#41	—	212	16	no	—
1152	C₂×#41	C₂²×D₅₃	1	2	yes	—
1153	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
1154	C₂²×Q₈	—	53	2	no	—
1155	C₂²×Q₈	—	53	2	no	—
1156	C₂²×Q₈	—	53	2	no	—
1157	C₂²×D₄	—	53	2	no	—
1158	C₂²×D₄	—	53	4	no	—
1159	C₂²×D₄	—	53	2	no	—
1160	C₂²×D₄	—	53	2	no	—
1161	C₂²×D₄	—	53	2	no	—
1162	C₂²×D₄	—	53	2	no	—
1163	C₂²×D₄	—	53	2	no	—
1164	C₂²×D₄	—	53	2	no	—
1165	C₂²×D₄	—	53	8	no	—
1166	C₂²×D₄	—	53	2	no	—
1167	C₂²×D₄	—	53	8	no	—
1168	C₂²×D₄	—	53	1	no	—
1169	C₂²×D₄	—	106	8	no	—
1170	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1171	C₂³×C₄	—	53	1	no	—
1172	C₂³×C₄	—	53	2	no	—
1173	C₂³×C₄	—	53	4	no	—
1174	C₂³×C₄	—	53	4	no	—
1175	C₂³×C₄	—	53	1	no	—
1176	C₂³×C₄	—	53	1	no	—
1177	C₂³×C₄	—	53	2	no	—
1178	C₂³×C₄	—	53	8	no	—
1179	C₂³×C₄	—	53	4	no	—
1180	C₂³×C₄	—	53	2	no	—
1181	C₂³×C₄	—	53	4	no	—
1182	C₂³×C₄	—	53	2	no	—
1183	C₂³×C₄	—	53	4	no	—
1184	C₂³×C₄	—	212	8	no	—
1185	C₂³×C₄	C₂²×D₅₃	1	2	yes	—
1186	C₄⋊Q₈	—	53	2	no	—
1187	C₄⋊Q₈	—	53	2	no	—
1188	C₄⋊Q₈	—	53	2	no	—
1189	C₄⋊Q₈	—	53	2	no	—
1190	C₄⋊Q₈	—	53	2	no	—
1191	C₄⋊Q₈	—	53	2	no	—
1192	C₄⋊Q₈	—	53	2	no	—
1193	C₄⋊Q₈	—	53	2	no	—
1194	C₄⋊Q₈	—	53	2	no	—
1195	C₄⋊Q₈	—	53	1	no	—
1196	C₄⋊Q₈	—	53	1	no	—
1197	C₄⋊Q₈	—	53	1	no	—
1198	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1199	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1200	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1201	#127	—	53	2	no	—
1202	#127	—	53	2	no	—
1203	#127	—	53	2	no	—
1204	#127	—	53	8	no	—
1205	#127	—	53	8	no	—
1206	#127	—	53	4	no	—
1207	#127	—	53	4	no	—
1208	#127	—	53	1	no	—
1209	#127	—	53	4	no	—
1210	#127	C₂²×D₅₃	1	4	yes	—
1211	#127	C₂²×D₅₃	1	1	yes	characteristic, complemented
1212	#126	—	53	8	no	—
1213	#126	—	53	8	no	—
1214	#126	—	53	8	no	—
1215	#126	—	53	8	no	—
1216	#126	—	53	8	no	—
1217	#126	—	53	8	no	—
1218	#126	—	53	8	no	—
1219	#126	C₂²×D₅₃	1	8	yes	complemented
1220	#125	—	53	4	no	—
1221	#125	—	53	4	no	—
1222	#125	—	53	2	no	—
1223	#125	—	53	2	no	—
1224	#125	—	53	2	no	—
1225	#125	C₂²×D₅₃	1	2	yes	complemented
1226	#124	—	53	2	no	—
1227	#124	—	53	4	no	—
1228	#124	—	53	8	no	—
1229	#124	—	53	2	no	—
1230	#124	—	53	4	no	—
1231	#124	—	53	8	no	—
1232	#124	—	53	4	no	—
1233	#124	—	53	4	no	—
1234	#124	—	53	8	no	—
1235	#124	—	53	8	no	—
1236	#124	—	53	8	no	—
1237	#124	—	53	8	no	—
1238	#124	—	53	8	no	—
1239	#124	—	53	8	no	—
1240	#124	—	53	2	no	—
1241	#124	—	53	4	no	—
1242	#124	—	53	8	no	—
1243	#124	C₂²×D₅₃	1	4	yes	—
1244	#124	C₂²×D₅₃	1	2	yes	complemented
1245	#124	C₂²×D₅₃	1	8	yes	complemented
1246	#123	—	53	8	no	—
1247	#123	—	53	8	no	—
1248	#123	—	53	8	no	—
1249	#123	—	53	8	no	—
1250	#123	—	53	8	no	—
1251	#123	—	53	8	no	—
1252	#123	—	53	8	no	—
1253	#123	—	53	8	no	—
1254	#123	—	53	8	no	—
1255	#123	—	53	8	no	—
1256	#123	—	53	8	no	—
1257	#123	—	53	8	no	—
1258	#123	—	53	8	no	—
1259	#123	—	53	8	no	—
1260	#123	C₂²×D₅₃	1	8	yes	complemented
1261	#123	C₂²×D₅₃	1	8	yes	complemented
1262	C₂²⋊Q₈	—	53	2	no	—
1263	C₂²⋊Q₈	—	53	4	no	—
1264	C₂²⋊Q₈	—	53	2	no	—
1265	C₂²⋊Q₈	—	53	2	no	—
1266	C₂²⋊Q₈	—	53	4	no	—
1267	C₂²⋊Q₈	—	53	2	no	—
1268	C₂²⋊Q₈	—	53	4	no	—
1269	C₂²⋊Q₈	—	53	2	no	—
1270	C₂²⋊Q₈	—	53	8	no	—
1271	C₂²⋊Q₈	—	53	4	no	—
1272	C₂²⋊Q₈	—	53	4	no	—
1273	C₂²⋊Q₈	—	53	2	no	—
1274	C₂²⋊Q₈	—	53	4	no	—
1275	C₂²⋊Q₈	—	53	8	no	—
1276	C₂²⋊Q₈	—	53	4	no	—
1277	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1278	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1279	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1280	#121	—	53	2	no	—
1281	#121	—	53	4	no	—
1282	#121	—	53	4	no	—
1283	#121	—	53	8	no	—
1284	#121	—	53	2	no	—
1285	#121	—	53	4	no	—
1286	#121	—	53	4	no	—
1287	#121	—	53	8	no	—
1288	#121	—	53	4	no	—
1289	#121	—	53	8	no	—
1290	#121	—	53	8	no	—
1291	#121	—	53	8	no	—
1292	#121	—	53	8	no	—
1293	#121	—	53	2	no	—
1294	#121	—	53	4	no	—
1295	#121	—	53	2	no	—
1296	#121	—	53	4	no	—
1297	#121	—	53	4	no	—
1298	#121	—	53	8	no	—
1299	#121	—	53	2	no	—
1300	#121	—	53	4	no	—
1301	#121	—	53	2	no	—
1302	#121	—	53	4	no	—
1303	#121	—	53	4	no	—
1304	#121	—	53	8	no	—
1305	#121	—	53	4	no	—
1306	#121	—	53	8	no	—
1307	#121	—	53	4	no	—
1308	#121	—	53	8	no	—
1309	#121	—	53	8	no	—
1310	#121	—	53	8	no	—
1311	#121	—	53	8	no	—
1312	#121	C₂²×D₅₃	1	2	yes	—
1313	#121	C₂²×D₅₃	1	2	yes	—
1314	#121	C₂²×D₅₃	1	4	yes	—
1315	#121	C₂²×D₅₃	1	4	yes	—
1316	#121	C₂²×D₅₃	1	4	yes	complemented
1317	#121	C₂²×D₅₃	1	8	yes	complemented
1318	#120	—	53	8	no	—
1319	#120	—	53	8	no	—
1320	#120	—	53	8	no	—
1321	#120	—	53	8	no	—
1322	#120	—	53	8	no	—
1323	#120	—	53	8	no	—
1324	#120	—	53	8	no	—
1325	#120	C₂²×D₅₃	1	8	yes	—
1326	C₄×Q₈	—	53	4	no	—
1327	C₄×Q₈	—	53	2	no	—
1328	C₄×Q₈	—	53	2	no	—
1329	C₄×Q₈	—	53	8	no	—
1330	C₄×Q₈	—	53	4	no	—
1331	C₄×Q₈	—	53	4	no	—
1332	C₄×Q₈	—	53	2	no	—
1333	C₄×Q₈	—	53	2	no	—
1334	C₄×Q₈	—	53	4	no	—
1335	C₄×Q₈	—	53	4	no	—
1336	C₄×Q₈	—	53	8	no	—
1337	C₄×Q₈	—	53	4	no	—
1338	C₄×Q₈	—	53	2	no	—
1339	C₄×Q₈	—	53	4	no	—
1340	C₄×Q₈	—	53	2	no	—
1341	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
1342	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1343	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1344	C₄×D₄	—	53	2	no	—
1345	C₄×D₄	—	53	2	no	—
1346	C₄×D₄	—	53	2	no	—
1347	C₄×D₄	—	53	2	no	—
1348	C₄×D₄	—	53	8	no	—
1349	C₄×D₄	—	53	4	no	—
1350	C₄×D₄	—	53	8	no	—
1351	C₄×D₄	—	53	2	no	—
1352	C₄×D₄	—	53	2	no	—
1353	C₄×D₄	—	53	4	no	—
1354	C₄×D₄	—	53	4	no	—
1355	C₄×D₄	—	53	4	no	—
1356	C₄×D₄	—	53	4	no	—
1357	C₄×D₄	—	53	8	no	—
1358	C₄×D₄	—	53	8	no	—
1359	C₄×D₄	—	53	8	no	—
1360	C₄×D₄	—	53	8	no	—
1361	C₄×D₄	—	53	8	no	—
1362	C₄×D₄	—	53	4	no	—
1363	C₄×D₄	—	53	4	no	—
1364	C₄×D₄	—	53	2	no	—
1365	C₄×D₄	—	53	2	no	—
1366	C₄×D₄	—	53	2	no	—
1367	C₄×D₄	—	53	2	no	—
1368	C₄×D₄	—	53	8	no	—
1369	C₄×D₄	—	53	4	no	—
1370	C₄×D₄	—	53	8	no	—
1371	C₄×D₄	—	53	2	no	—
1372	C₄×D₄	—	53	2	no	—
1373	C₄×D₄	—	53	4	no	—
1374	C₄×D₄	—	53	4	no	—
1375	C₄×D₄	—	53	4	no	—
1376	C₄×D₄	—	53	4	no	—
1377	C₄×D₄	—	53	8	no	—
1378	C₄×D₄	—	53	8	no	—
1379	C₄×D₄	—	53	8	no	—
1380	C₄×D₄	—	53	8	no	—
1381	C₄×D₄	—	53	8	no	—
1382	C₄×D₄	—	53	4	no	—
1383	C₄×D₄	—	53	4	no	—
1384	C₄×D₄	—	53	2	no	—
1385	C₄×D₄	—	53	2	no	—
1386	C₄×D₄	—	53	2	no	—
1387	C₄×D₄	—	53	2	no	—
1388	C₄×D₄	—	53	8	no	—
1389	C₄×D₄	—	53	4	no	—
1390	C₄×D₄	—	53	8	no	—
1391	C₄×D₄	—	53	2	no	—
1392	C₄×D₄	—	53	2	no	—
1393	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1394	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1395	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1396	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1397	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1398	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1399	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1400	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1401	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1402	#117	—	53	2	no	—
1403	#117	—	53	4	no	—
1404	#117	—	53	4	no	—
1405	#117	—	53	2	no	—
1406	#117	—	53	2	no	—
1407	#117	—	53	4	no	—
1408	#117	—	53	4	no	—
1409	#117	—	53	4	no	—
1410	#117	—	53	4	no	—
1411	#117	—	53	4	no	—
1412	#117	—	53	8	no	—
1413	#117	—	53	8	no	—
1414	#117	—	53	4	no	—
1415	#117	—	53	8	no	—
1416	#117	—	53	8	no	—
1417	#117	C₂²×D₅₃	1	2	yes	—
1418	#117	C₂²×D₅₃	1	4	yes	complemented
1419	#117	C₂²×D₅₃	1	4	yes	complemented
1420	C₂×C₄⋊C₄	—	53	2	no	—
1421	C₂×C₄⋊C₄	—	53	1	no	—
1422	C₂×C₄⋊C₄	—	53	8	no	—
1423	C₂×C₄⋊C₄	—	53	4	no	—
1424	C₂×C₄⋊C₄	—	53	2	no	—
1425	C₂×C₄⋊C₄	—	53	2	no	—
1426	C₂×C₄⋊C₄	—	53	2	no	—
1427	C₂×C₄⋊C₄	—	53	2	no	—
1428	C₂×C₄⋊C₄	—	53	2	no	—
1429	C₂×C₄⋊C₄	—	53	8	no	—
1430	C₂×C₄⋊C₄	—	53	8	no	—
1431	C₂×C₄⋊C₄	—	53	4	no	—
1432	C₂×C₄⋊C₄	—	53	4	no	—
1433	C₂×C₄⋊C₄	—	53	2	no	—
1434	C₂×C₄⋊C₄	—	53	2	no	—
1435	C₂×C₄⋊C₄	—	53	2	no	—
1436	C₂×C₄⋊C₄	—	53	4	no	—
1437	C₂×C₄⋊C₄	—	53	2	no	—
1438	C₂×C₄⋊C₄	—	53	4	no	—
1439	C₂×C₄⋊C₄	—	53	2	no	—
1440	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1441	C₂×C₄⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1442	C₂×C₂²⋊C₄	—	53	2	no	—
1443	C₂×C₂²⋊C₄	—	53	2	no	—
1444	C₂×C₂²⋊C₄	—	53	2	no	—
1445	C₂×C₂²⋊C₄	—	53	4	no	—
1446	C₂×C₂²⋊C₄	—	53	4	no	—
1447	C₂×C₂²⋊C₄	—	53	4	no	—
1448	C₂×C₂²⋊C₄	—	53	4	no	—
1449	C₂×C₂²⋊C₄	—	53	4	no	—
1450	C₂×C₂²⋊C₄	—	53	8	no	—
1451	C₂×C₂²⋊C₄	—	53	8	no	—
1452	C₂×C₂²⋊C₄	—	53	4	no	—
1453	C₂×C₂²⋊C₄	—	53	8	no	—
1454	C₂×C₂²⋊C₄	—	53	4	no	—
1455	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1456	C₂×C₄²	—	53	1	no	—
1457	C₂×C₄²	—	53	1	no	—
1458	C₂×C₄²	—	53	1	no	—
1459	C₂×C₄²	—	53	8	no	—
1460	C₂×C₄²	—	53	4	no	—
1461	C₂×C₄²	—	53	1	no	—
1462	C₂×C₄²	—	53	1	no	—
1463	C₂×C₄²	—	53	1	no	—
1464	C₂×C₄²	—	53	1	no	—
1465	C₂×C₄²	—	53	1	no	—
1466	C₂×C₄²	—	53	1	no	—
1467	C₂×C₄²	—	53	1	no	—
1468	C₂×C₄²	—	53	1	no	—
1469	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1470	C₂⁴	—	53	1	no	—
1471	C₂⁴	—	53	4	no	—
1472	C₂⁴	—	53	4	no	—
1473	C₂⁴	—	53	4	no	—
1474	C₂⁴	—	53	2	no	—
1475	C₂⁴	—	106	8	no	—
1476	C₂⁴	—	212	4	no	—
1477	C₂⁴	—	212	4	no	—
1478	C₂⁴	C₂³×D₅₃	1	2	yes	—
1479	#41	—	2	8	no	—
1480	#41	—	4	8	no	—
1481	#41	—	106	16	no	—
1482	#41	—	106	16	no	—
1483	#41	—	106	8	no	—
1484	#41	—	106	8	no	—
1485	#41	—	106	8	no	—
1486	#41	—	212	8	no	—
1487	#41	—	212	16	no	—
1488	#41	—	212	8	no	—
1489	#41	—	212	16	no	—
1490	#41	—	212	8	no	—
1491	C₂×Q₈	—	53	4	no	—
1492	C₂×Q₈	—	53	2	no	—
1493	C₂×Q₈	—	53	4	no	—
1494	C₂×Q₈	—	53	2	no	—
1495	C₂×Q₈	—	53	2	no	—
1496	C₂×Q₈	—	53	4	no	—
1497	C₂×Q₈	—	106	8	no	—
1498	C₂×Q₈	—	106	8	no	—
1499	C₂×Q₈	—	212	4	no	—
1500	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1501	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1502	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1503	C₂×D₄	—	2	4	no	—
1504	C₂×D₄	—	53	4	no	—
1505	C₂×D₄	—	53	4	no	—
1506	C₂×D₄	—	53	4	no	—
1507	C₂×D₄	—	53	4	no	—
1508	C₂×D₄	—	53	4	no	—
1509	C₂×D₄	—	53	4	no	—
1510	C₂×D₄	—	53	8	no	—
1511	C₂×D₄	—	53	8	no	—
1512	C₂×D₄	—	53	4	no	—
1513	C₂×D₄	—	53	8	no	—
1514	C₂×D₄	—	53	8	no	—
1515	C₂×D₄	—	53	4	no	—
1516	C₂×D₄	—	53	2	no	—
1517	C₂×D₄	—	53	2	no	—
1518	C₂×D₄	—	53	2	no	—
1519	C₂×D₄	—	53	2	no	—
1520	C₂×D₄	—	53	8	no	—
1521	C₂×D₄	—	53	2	no	—
1522	C₂×D₄	—	53	8	no	—
1523	C₂×D₄	—	106	8	no	—
1524	C₂×D₄	—	106	8	no	—
1525	C₂×D₄	—	106	8	no	—
1526	C₂×D₄	—	106	8	no	—
1527	C₂×D₄	—	106	8	no	—
1528	C₂×D₄	—	106	8	no	—
1529	C₂×D₄	—	106	8	no	—
1530	C₂×D₄	—	106	16	no	—
1531	C₂×D₄	—	106	4	no	—
1532	C₂×D₄	—	212	4	no	—
1533	C₂×D₄	—	212	16	no	—
1534	C₂×D₄	—	212	16	no	—
1535	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1536	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1537	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1538	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1539	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1540	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1541	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1542	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1543	C₂²×C₄	—	4	4	no	—
1544	C₂²×C₄	—	53	1	no	—
1545	C₂²×C₄	—	53	8	no	—
1546	C₂²×C₄	—	53	1	no	—
1547	C₂²×C₄	—	53	1	no	—
1548	C₂²×C₄	—	53	1	no	—
1549	C₂²×C₄	—	53	1	no	—
1550	C₂²×C₄	—	53	1	no	—
1551	C₂²×C₄	—	53	1	no	—
1552	C₂²×C₄	—	53	4	no	—
1553	C₂²×C₄	—	53	4	no	—
1554	C₂²×C₄	—	53	1	no	—
1555	C₂²×C₄	—	53	2	no	—
1556	C₂²×C₄	—	53	8	no	—
1557	C₂²×C₄	—	53	4	no	—
1558	C₂²×C₄	—	53	4	no	—
1559	C₂²×C₄	—	53	1	no	—
1560	C₂²×C₄	—	53	4	no	—
1561	C₂²×C₄	—	53	1	no	—
1562	C₂²×C₄	—	53	4	no	—
1563	C₂²×C₄	—	53	1	no	—
1564	C₂²×C₄	—	53	1	no	—
1565	C₂²×C₄	—	53	1	no	—
1566	C₂²×C₄	—	53	4	no	—
1567	C₂²×C₄	—	53	4	no	—
1568	C₂²×C₄	—	53	4	no	—
1569	C₂²×C₄	—	53	4	no	—
1570	C₂²×C₄	—	53	4	no	—
1571	C₂²×C₄	—	53	1	no	—
1572	C₂²×C₄	—	53	1	no	—
1573	C₂²×C₄	—	53	4	no	—
1574	C₂²×C₄	—	53	8	no	—
1575	C₂²×C₄	—	53	8	no	—
1576	C₂²×C₄	—	53	4	no	—
1577	C₂²×C₄	—	53	4	no	—
1578	C₂²×C₄	—	106	4	no	—
1579	C₂²×C₄	—	106	16	no	—
1580	C₂²×C₄	—	106	16	no	—
1581	C₂²×C₄	—	212	4	no	—
1582	C₂²×C₄	—	212	8	no	—
1583	C₂²×C₄	—	212	8	no	—
1584	C₂²×C₄	—	212	4	no	—
1585	C₂²×C₄	—	212	2	no	—
1586	C₂²×C₄	—	212	4	no	—
1587	C₂²×C₄	—	212	8	no	—
1588	C₂²×C₄	—	212	16	no	—
1589	C₂²×C₄	—	212	4	no	—
1590	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1591	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1592	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1593	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1594	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1595	C₂²×C₄	C₂³×D₅₃	1	8	yes	—
1596	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1597	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1598	C₄⋊C₄	—	53	4	no	—
1599	C₄⋊C₄	—	53	2	no	—
1600	C₄⋊C₄	—	53	4	no	—
1601	C₄⋊C₄	—	53	2	no	—
1602	C₄⋊C₄	—	53	4	no	—
1603	C₄⋊C₄	—	53	2	no	—
1604	C₄⋊C₄	—	53	8	no	—
1605	C₄⋊C₄	—	53	8	no	—
1606	C₄⋊C₄	—	53	8	no	—
1607	C₄⋊C₄	—	53	4	no	—
1608	C₄⋊C₄	—	53	2	no	—
1609	C₄⋊C₄	—	53	4	no	—
1610	C₄⋊C₄	—	53	2	no	—
1611	C₄⋊C₄	—	53	4	no	—
1612	C₄⋊C₄	—	53	2	no	—
1613	C₄⋊C₄	—	53	4	no	—
1614	C₄⋊C₄	—	53	4	no	—
1615	C₄⋊C₄	—	53	4	no	—
1616	C₄⋊C₄	—	53	4	no	—
1617	C₄⋊C₄	—	53	2	no	—
1618	C₄⋊C₄	—	53	4	no	—
1619	C₄⋊C₄	—	53	4	no	—
1620	C₄⋊C₄	—	53	4	no	—
1621	C₄⋊C₄	—	53	4	no	—
1622	C₄⋊C₄	—	53	2	no	—
1623	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1624	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1625	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1626	C₄⋊C₄	C₂³×D₅₃	1	8	yes	—
1627	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1628	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1629	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1630	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1631	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1632	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1633	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1634	C₂²⋊C₄	—	53	4	no	—
1635	C₂²⋊C₄	—	53	4	no	—
1636	C₂²⋊C₄	—	53	4	no	—
1637	C₂²⋊C₄	—	53	8	no	—
1638	C₂²⋊C₄	—	53	8	no	—
1639	C₂²⋊C₄	—	53	4	no	—
1640	C₂²⋊C₄	—	53	8	no	—
1641	C₂²⋊C₄	—	53	4	no	—
1642	C₂²⋊C₄	—	53	4	no	—
1643	C₂²⋊C₄	—	53	4	no	—
1644	C₂²⋊C₄	—	53	4	no	—
1645	C₂²⋊C₄	—	53	4	no	—
1646	C₂²⋊C₄	—	53	4	no	—
1647	C₂²⋊C₄	—	53	4	no	—
1648	C₂²⋊C₄	—	53	8	no	—
1649	C₂²⋊C₄	—	53	8	no	—
1650	C₂²⋊C₄	—	53	8	no	—
1651	C₂²⋊C₄	—	53	8	no	—
1652	C₂²⋊C₄	—	53	4	no	—
1653	C₂²⋊C₄	—	53	4	no	—
1654	C₂²⋊C₄	—	53	8	no	—
1655	C₂²⋊C₄	—	53	8	no	—
1656	C₂²⋊C₄	—	53	4	no	—
1657	C₂²⋊C₄	—	53	4	no	—
1658	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1659	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1660	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1661	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1662	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1663	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1664	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1665	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1666	C₄²	—	53	1	no	—
1667	C₄²	—	53	1	no	—
1668	C₄²	—	53	1	no	—
1669	C₄²	—	53	1	no	—
1670	C₄²	—	53	1	no	—
1671	C₄²	—	53	1	no	—
1672	C₄²	—	53	1	no	—
1673	C₄²	—	53	1	no	—
1674	C₄²	—	53	1	no	—
1675	C₄²	—	53	1	no	—
1676	C₄²	—	53	1	no	—
1677	C₄²	—	53	1	no	—
1678	C₄²	—	53	8	no	—
1679	C₄²	—	53	8	no	—
1680	C₄²	—	53	8	no	—
1681	C₄²	—	53	4	no	—
1682	C₄²	—	53	4	no	—
1683	C₄²	—	53	4	no	—
1684	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1685	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1686	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1687	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1688	C₄²	C₂³×D₅₃	1	8	yes	—
1689	C₄²	C₂³×D₅₃	1	4	yes	—
1690	C₂³	—	2	4	no	—
1691	C₂³	—	4	2	no	—
1692	C₂³	—	4	2	no	—
1693	C₂³	—	53	1	no	—
1694	C₂³	—	53	4	no	—
1695	C₂³	—	53	1	no	—
1696	C₂³	—	53	4	no	—
1697	C₂³	—	53	4	no	—
1698	C₂³	—	106	2	no	—
1699	C₂³	—	106	2	no	—
1700	C₂³	—	106	8	no	—
1701	C₂³	—	106	8	no	—
1702	C₂³	—	106	8	no	—
1703	C₂³	—	106	8	no	—
1704	C₂³	—	106	8	no	—
1705	C₂³	—	106	8	no	—
1706	C₂³	—	106	8	no	—
1707	C₂³	—	106	4	no	—
1708	C₂³	—	212	2	no	—
1709	C₂³	—	212	4	no	—
1710	C₂³	—	212	2	no	—
1711	C₂³	—	212	4	no	—
1712	C₂³	—	212	32	no	—
1713	C₂³	C₂⁴×D₅₃	1	4	yes	—
1714	C₂³	C₂⁴×D₅₃	1	4	yes	—
1715	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1716	Q₈	—	2	4	no	—
1717	Q₈	—	2	4	no	—
1718	Q₈	—	4	2	no	—
1719	Q₈	—	106	8	no	—
1720	Q₈	—	106	8	no	—
1721	Q₈	—	106	4	no	—
1722	Q₈	—	106	4	no	—
1723	Q₈	—	212	2	no	—
1724	Q₈	—	212	4	no	—
1725	D₄	—	2	8	no	—
1726	D₄	—	2	4	no	—
1727	D₄	—	2	4	no	—
1728	D₄	—	2	4	no	—
1729	D₄	—	2	4	no	—
1730	D₄	—	4	2	no	—
1731	D₄	—	4	8	no	—
1732	D₄	—	4	8	no	—
1733	D₄	—	106	8	no	—
1734	D₄	—	106	8	no	—
1735	D₄	—	106	8	no	—
1736	D₄	—	106	8	no	—
1737	D₄	—	106	8	no	—
1738	D₄	—	106	8	no	—
1739	D₄	—	106	8	no	—
1740	D₄	—	106	4	no	—
1741	D₄	—	106	4	no	—
1742	D₄	—	106	4	no	—
1743	D₄	—	106	4	no	—
1744	D₄	—	212	2	no	—
1745	D₄	—	212	8	no	—
1746	D₄	—	212	8	no	—
1747	D₄	—	212	4	no	—
1748	D₄	—	212	8	no	—
1749	D₄	—	212	8	no	—
1750	D₄	—	212	8	no	—
1751	D₄	—	212	8	no	—
1752	C₂×C₄	—	2	8	no	—
1753	C₂×C₄	—	2	2	no	—
1754	C₂×C₄	—	2	8	no	—
1755	C₂×C₄	—	4	2	no	—
1756	C₂×C₄	—	4	4	no	—
1757	C₂×C₄	—	4	1	no	—
1758	C₂×C₄	—	4	8	no	—
1759	C₂×C₄	—	53	4	no	—
1760	C₂×C₄	—	53	1	no	—
1761	C₂×C₄	—	53	1	no	—
1762	C₂×C₄	—	53	1	no	—
1763	C₂×C₄	—	53	4	no	—
1764	C₂×C₄	—	53	4	no	—
1765	C₂×C₄	—	53	4	no	—
1766	C₂×C₄	—	53	4	no	—
1767	C₂×C₄	—	53	4	no	—
1768	C₂×C₄	—	53	4	no	—
1769	C₂×C₄	—	53	1	no	—
1770	C₂×C₄	—	53	4	no	—
1771	C₂×C₄	—	53	1	no	—
1772	C₂×C₄	—	53	1	no	—
1773	C₂×C₄	—	53	4	no	—
1774	C₂×C₄	—	53	4	no	—
1775	C₂×C₄	—	106	2	no	—
1776	C₂×C₄	—	106	8	no	—
1777	C₂×C₄	—	106	8	no	—
1778	C₂×C₄	—	106	2	no	—
1779	C₂×C₄	—	106	8	no	—
1780	C₂×C₄	—	106	8	no	—
1781	C₂×C₄	—	106	8	no	—
1782	C₂×C₄	—	106	2	no	—
1783	C₂×C₄	—	106	2	no	—
1784	C₂×C₄	—	106	8	no	—
1785	C₂×C₄	—	106	2	no	—
1786	C₂×C₄	—	106	8	no	—
1787	C₂×C₄	—	106	8	no	—
1788	C₂×C₄	—	106	8	no	—
1789	C₂×C₄	—	106	2	no	—
1790	C₂×C₄	—	106	8	no	—
1791	C₂×C₄	—	212	1	no	—
1792	C₂×C₄	—	212	1	no	—
1793	C₂×C₄	—	212	4	no	—
1794	C₂×C₄	—	212	4	no	—
1795	C₂×C₄	—	212	4	no	—
1796	C₂×C₄	—	212	8	no	—
1797	C₂×C₄	—	212	8	no	—
1798	C₂×C₄	—	212	1	no	—
1799	C₂×C₄	—	212	2	no	—
1800	C₂×C₄	—	212	4	no	—
1801	C₂×C₄	—	212	8	no	—
1802	C₂×C₄	#41×D₅₃	1	4	yes	complemented
1803	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1804	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1805	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1806	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1807	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1808	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1809	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1810	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1811	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1812	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	4	no	—
1816	C₂²	—	2	4	no	—
1817	C₂²	—	2	4	no	—
1818	C₂²	—	2	4	no	—
1819	C₂²	—	2	4	no	—
1820	C₂²	—	2	4	no	—
1821	C₂²	—	4	8	no	—
1822	C₂²	—	53	2	no	—
1823	C₂²	—	53	2	no	—
1824	C₂²	—	53	2	no	—
1825	C₂²	—	53	2	no	—
1826	C₂²	—	106	8	no	—
1827	C₂²	—	106	1	no	—
1828	C₂²	—	106	1	no	—
1829	C₂²	—	106	4	no	—
1830	C₂²	—	106	4	no	—
1831	C₂²	—	106	4	no	—
1832	C₂²	—	106	4	no	—
1833	C₂²	—	106	4	no	—
1834	C₂²	—	106	4	no	—
1835	C₂²	—	212	8	no	—
1836	C₂²	—	212	16	no	—
1837	C₂²	—	212	16	no	—
1838	C₂²	—	212	16	no	—
1839	C₂²	C₂×#41×D₅₃	1	2	yes	—
1840	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1841	C₄	—	2	4	no	—
1842	C₄	—	2	1	no	—
1843	C₄	—	2	4	no	—
1844	C₄	—	2	4	no	—
1845	C₄	—	2	1	no	—
1846	C₄	—	2	1	no	—
1847	C₄	—	2	4	no	—
1848	C₄	—	53	2	no	—
1849	C₄	—	53	2	no	—
1850	C₄	—	53	2	no	—
1851	C₄	—	106	4	no	—
1852	C₄	—	106	1	no	—
1853	C₄	—	106	4	no	—
1854	C₄	—	106	4	no	—
1855	C₄	—	106	1	no	—
1856	C₄	—	106	1	no	—
1857	C₄	—	106	4	no	—
1858	C₄	C₂×#41×D₅₃	1	2	yes	—
1859	C₄	C₂×#41×D₅₃	1	2	yes	—
1860	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
1861	C₂	—	2	2	no	—
1862	C₂	—	4	4	no	—
1863	C₂	—	4	4	no	—
1864	C₂	—	53	4	no	—
1865	C₂	—	106	2	no	—
1866	C₂	—	212	4	no	—
1867	C₂	—	212	4	no	—
1868	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
1869	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1870	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3506	C₂
hypercenter	#3506	D₅₃
hypocenter	C₅₃	C₂×#3506
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3506

Complements

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

N	H ≅ G/N	type
1. #20288569	C₂	semidirect
2. #20288568	C₂	semidirect
3. #20288567	C₂	semidirect
4. #20288566	C₂	semidirect
5. #20288565	C₂	semidirect
6. #20288564	C₂	semidirect
7. #20288563	C₂	semidirect
8. #20288562	C₂	semidirect
9. #20288561	C₂	semidirect
10. #20288560	C₂	semidirect
11. #20288559	C₂	semidirect
12. #20288558	C₂	semidirect
13. #20288557	C₂	semidirect
14. #559×D₅₃	C₂	semidirect
15. #556×D₅₃	C₂	semidirect
16. #555×D₅₃	C₂	semidirect
17. #553×D₅₃	C₂	semidirect
18. #550×D₅₃	C₂	semidirect
19. #547×D₅₃	C₂	semidirect
20. #538×D₅₃	C₂	semidirect
21. #535×D₅₃	C₂	semidirect
22. #533×D₅₃	C₂	semidirect
23. #532×D₅₃	C₂	semidirect
24. #525×D₅₃	C₂	semidirect
25. #520×D₅₃	C₂	semidirect
26. C₂×C₄×D₄×D₅₃	C₂	semidirect
27. C₅₃×#3506	C₂	semidirect
29. C₂×#41×D₅₃	C₂²	semidirect
32. #16811359	C₂²	semidirect
33. #16811358	C₂²	semidirect
34. #16811358	C₂²	semidirect
35. #16811357	C₂²	semidirect
36. #16811357	C₂²	semidirect
37. #16811356	C₂²	semidirect
38. #16811356	C₂²	semidirect
39. #16811356	C₂²	semidirect
40. #16811355	C₂²	semidirect
41. #16811355	C₂²	semidirect
42. #16811355	C₂²	semidirect
43. #16811347	C₂²	semidirect
44. #16811346	C₂²	semidirect
45. #16811345	C₂²	semidirect
46. #16811344	C₂²	semidirect
47. #16811343	C₂²	semidirect
48. #16811342	C₂²	semidirect
49. #16811341	C₂²	semidirect
50. #16811340	C₂²	semidirect
51. #16811339	C₂²	semidirect
52. #16811338	C₂²	semidirect
53. #16811338	C₂²	semidirect
54. #16811337	C₂²	semidirect
55. #16811337	C₂²	semidirect
56. #16811336	C₂²	semidirect
57. #16811336	C₂²	semidirect
58. #16811335	C₂²	semidirect
59. #16811326	C₂²	semidirect
60. #16811325	C₂²	semidirect
61. #16811324	C₂²	semidirect
62. #16811323	C₂²	semidirect
63. #16811322	C₂²	semidirect
64. #16811321	C₂²	semidirect
65. #16811320	C₂²	semidirect
66. #16811319	C₂²	semidirect
67. #16811318	C₂²	semidirect
68. #16811317	C₂²	semidirect
69. #16811316	C₂²	semidirect
70. #16811295	C₂²	semidirect
71. #16811294	C₂²	semidirect
72. #16811294	C₂²	semidirect
73. #16811293	C₂²	semidirect
74. #16811293	C₂²	semidirect
75. #16811292	C₂²	semidirect
76. #16811291	C₂²	semidirect
77. #16811291	C₂²	semidirect
78. #16811278	C₂²	semidirect
79. #16811277	C₂²	semidirect
80. #16811276	C₂²	semidirect
81. #16811275	C₂²	semidirect
82. #16811274	C₂²	semidirect
83. #16811273	C₂²	semidirect
84. #16811272	C₂²	semidirect
85. #16811271	C₂²	semidirect
86. #16811213	C₂²	semidirect
87. #16811212	C₂²	semidirect
88. #16811211	C₂²	semidirect
89. #16811210	C₂²	semidirect
90. #16811209	C₂²	semidirect
91. #16811208	C₂²	semidirect
92. #16811207	C₂²	semidirect
93. #16811206	C₂²	semidirect
94. #16811205	C₂²	semidirect
95. #16811192	C₂²	semidirect
96. #16811191	C₂²	semidirect
97. #16811190	C₂²	semidirect
98. #16811189	C₂²	semidirect
99. #16811189	C₂²	semidirect
100. #16811188	C₂²	semidirect
101. #16811187	C₂²	semidirect
102. #16811186	C₂²	semidirect
103. #16811180	C₂²	semidirect
104. #16811179	C₂²	semidirect
105. #16811178	C₂²	semidirect
106. #16811178	C₂²	semidirect
107. #16811177	C₂²	semidirect
108. #16811177	C₂²	semidirect
109. #16811176	C₂²	semidirect
110. #16811175	C₂²	semidirect
111. #16811175	C₂²	semidirect
112. #16811174	C₂²	semidirect
113. #16811173	C₂²	semidirect
114. #16811172	C₂²	semidirect
115. #16811171	C₂²	semidirect
116. #16811170	C₂²	semidirect
117. #16811170	C₂²	semidirect
118. #16811169	C₂²	semidirect
119. #16811168	C₂²	semidirect
120. #16811168	C₂²	semidirect
121. C₄⋊Q₈×D₅₃	C₂²	semidirect
122. C₄⋊Q₈×D₅₃	C₂²	semidirect
123. C₄⋊Q₈×D₅₃	C₂²	semidirect
125. #127×D₅₃	C₂²	semidirect
126. #126×D₅₃	C₂²	semidirect
127. #125×D₅₃	C₂²	semidirect
129. #124×D₅₃	C₂²	semidirect
130. #124×D₅₃	C₂²	semidirect
131. #16811136	C₂²	semidirect
132. #16811136	C₂²	semidirect
133. #16811135	C₂²	semidirect
134. #16811134	C₂²	semidirect
135. #16811133	C₂²	semidirect
136. #16811133	C₂²	semidirect
137. #16811132	C₂²	semidirect
138. #16811132	C₂²	semidirect
139. #16811131	C₂²	semidirect
140. #16811130	C₂²	semidirect
141. #16811129	C₂²	semidirect
142. #123×D₅₃	C₂²	semidirect
143. #123×D₅₃	C₂²	semidirect
146. C₂²⋊Q₈×D₅₃	C₂²	semidirect
151. #121×D₅₃	C₂²	semidirect
152. #121×D₅₃	C₂²	semidirect
154. #16811106	C₂²	semidirect
155. #16811105	C₂²	semidirect
156. #16811104	C₂²	semidirect
157. #16811104	C₂²	semidirect
158. #16811103	C₂²	semidirect
159. #16811103	C₂²	semidirect
160. #16811102	C₂²	semidirect
161. #16811102	C₂²	semidirect
162. C₄×Q₈×D₅₃	C₂²	semidirect
163. C₄×Q₈×D₅₃	C₂²	semidirect
164. C₄×Q₈×D₅₃	C₂²	semidirect
165. C₂×C₄×D₂₁₂	C₂²	semidirect
166. C₂×D₄×Dic₅₃	C₂²	semidirect
167. C₂×#13133179	C₂²	semidirect
168. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
169. C₂×#13133177	C₂²	semidirect
175. C₄×D₄×D₅₃	C₂²	semidirect
176. C₄×D₄×D₅₃	C₂²	semidirect
177. C₄×D₄×D₅₃	C₂²	semidirect
178. C₄×D₄×D₅₃	C₂²	semidirect
179. C₄×D₄×D₅₃	C₂²	semidirect
180. C₄×D₄×D₅₃	C₂²	semidirect
181. C₄×D₄×D₅₃	C₂²	semidirect
182. C₄×D₄×D₅₃	C₂²	semidirect
184. #117×D₅₃	C₂²	semidirect
185. #117×D₅₃	C₂²	semidirect
187. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
190. C₅₃×#559	C₂²	semidirect
191. C₅₃×#556	C₂²	semidirect
192. C₅₃×#555	C₂²	semidirect
193. C₅₃×#553	C₂²	semidirect
194. C₅₃×#550	C₂²	semidirect
195. C₅₃×#547	C₂²	semidirect
196. C₅₃×#538	C₂²	semidirect
197. C₅₃×#535	C₂²	semidirect
198. C₅₃×#533	C₂²	semidirect
199. C₅₃×#532	C₂²	semidirect
200. C₅₃×#525	C₂²	semidirect
201. C₅₃×#520	C₂²	semidirect
202. C₂×C₄×D₄×C₅₃	C₂²	semidirect
205. C₂×#11719949	C₂³	semidirect
208. C₂×#11719945	C₂³	semidirect
209. C₂×#11719945	C₂³	semidirect
212. C₂×#11719947	C₂³	semidirect
213. C₂×#11719947	C₂³	semidirect
246. #13133217	C₂³	semidirect
247. #13133217	C₂³	semidirect
248. #13133217	C₂³	semidirect
249. #13133216	C₂³	semidirect
250. #13133216	C₂³	semidirect
251. #13133216	C₂³	semidirect
252. #13133216	C₂³	semidirect
253. #13133216	C₂³	semidirect
254. #13133216	C₂³	semidirect
255. #13133215	C₂³	semidirect
256. #13133215	C₂³	semidirect
257. #13133215	C₂³	semidirect
259. #13133214	C₂³	semidirect
264. #13133213	C₂³	semidirect
265. #13133213	C₂³	semidirect
266. #13133213	C₂³	semidirect
267. #13133212	C₂³	semidirect
268. #13133212	C₂³	semidirect
269. #13133212	C₂³	semidirect
270. #13133211	C₂³	semidirect
271. #13133210	C₂³	semidirect
272. #13133210	C₂³	semidirect
273. #13133210	C₂³	semidirect
274. #13133209	C₂³	semidirect
275. #13133208	C₂³	semidirect
276. #13133208	C₂³	semidirect
277. #13133207	C₂³	semidirect
278. #13133207	C₂³	semidirect
280. #13133206	C₂³	semidirect
281. #13133206	C₂³	semidirect
283. #13133205	C₂³	semidirect
284. #13133205	C₂³	semidirect
286. #13133204	C₂³	semidirect
287. #13133204	C₂³	semidirect
290. #13133203	C₂³	semidirect
291. #13133203	C₂³	semidirect
292. #13133203	C₂³	semidirect
293. #13133203	C₂³	semidirect
294. #13133203	C₂³	semidirect
295. #13133203	C₂³	semidirect
296. #13133202	C₂³	semidirect
297. #13133202	C₂³	semidirect
298. #13133202	C₂³	semidirect
299. #13133202	C₂³	semidirect
300. #13133201	C₂³	semidirect
301. #13133201	C₂³	semidirect
302. #13133200	C₂³	semidirect
303. #13133200	C₂³	semidirect
304. #13133199	C₂³	semidirect
305. #13133199	C₂³	semidirect
306. #13133199	C₂³	semidirect
307. #13133199	C₂³	semidirect
308. #13133198	C₂³	semidirect
309. #13133198	C₂³	semidirect
312. #13133197	C₂³	semidirect
315. #13133196	C₂³	semidirect
318. #13133195	C₂³	semidirect
321. #13133194	C₂³	semidirect
324. #13133193	C₂³	semidirect
329. #13133192	C₂³	semidirect
330. #13133192	C₂³	semidirect
335. #13133191	C₂³	semidirect
336. #13133191	C₂³	semidirect
341. #13133190	C₂³	semidirect
342. #13133190	C₂³	semidirect
343. #13133190	C₂³	semidirect
348. #13133189	C₂³	semidirect
349. #13133189	C₂³	semidirect
350. #13133189	C₂³	semidirect
355. #13133188	C₂³	semidirect
356. #13133188	C₂³	semidirect
364. Q₈×Dic₅₃	C₂³	semidirect
365. Q₈×Dic₅₃	C₂³	semidirect
366. Q₈×Dic₅₃	C₂³	semidirect
367. C₄×Dic₁₀₆	C₂³	semidirect
368. C₄×Dic₁₀₆	C₂³	semidirect
369. C₄×Dic₁₀₆	C₂³	semidirect
370. C₄×Dic₁₀₆	C₂³	semidirect
371. C₄×Dic₁₀₆	C₂³	semidirect
372. C₄×Dic₁₀₆	C₂³	semidirect
373. #13133182	C₂³	semidirect
374. #13133182	C₂³	semidirect
375. #13133182	C₂³	semidirect
376. #13133182	C₂³	semidirect
377. #13133182	C₂³	semidirect
378. #13133182	C₂³	semidirect
384. C₄×D₂₁₂	C₂³	semidirect
385. C₄×D₂₁₂	C₂³	semidirect
386. C₄×D₂₁₂	C₂³	semidirect
387. C₄×D₂₁₂	C₂³	semidirect
393. D₄×Dic₅₃	C₂³	semidirect
394. D₄×Dic₅₃	C₂³	semidirect
395. D₄×Dic₅₃	C₂³	semidirect
396. D₄×Dic₅₃	C₂³	semidirect
402. #13133179	C₂³	semidirect
403. #13133179	C₂³	semidirect
404. #13133179	C₂³	semidirect
405. #13133179	C₂³	semidirect
412. C₄×C₂²⋊D₅₃	C₂³	semidirect
413. C₄×C₂²⋊D₅₃	C₂³	semidirect
414. C₄×C₂²⋊D₅₃	C₂³	semidirect
415. C₄×C₂²⋊D₅₃	C₂³	semidirect
416. C₄×C₂²⋊D₅₃	C₂³	semidirect
423. #13133177	C₂³	semidirect
424. #13133177	C₂³	semidirect
425. #13133177	C₂³	semidirect
426. #13133177	C₂³	semidirect
427. #13133177	C₂³	semidirect
429. #13133176	C₂³	semidirect
430. #13133176	C₂³	semidirect
433. #13133175	C₂³	semidirect
434. #13133175	C₂³	semidirect
435. #13133175	C₂³	semidirect
436. #13133175	C₂³	semidirect
438. #13133174	C₂³	semidirect
439. #13133174	C₂³	semidirect
441. #13133173	C₂³	semidirect
442. #13133173	C₂³	semidirect
444. C₂×C₄⋊Dic₅₃	C₂³	semidirect
446. C₂×#11719919	C₂³	semidirect
460. C₄⋊C₄×D₅₃	C₂³	semidirect
461. C₄⋊C₄×D₅₃	C₂³	semidirect
462. C₄⋊C₄×D₅₃	C₂³	semidirect
490. C₂×#41×C₅₃	C₂³	semidirect
493. C₄⋊Q₈×C₅₃	C₂³	semidirect
494. C₄⋊Q₈×C₅₃	C₂³	semidirect
495. C₄⋊Q₈×C₅₃	C₂³	semidirect
497. #127×C₅₃	C₂³	semidirect
498. #126×C₅₃	C₂³	semidirect
499. #125×C₅₃	C₂³	semidirect
501. #124×C₅₃	C₂³	semidirect
502. #124×C₅₃	C₂³	semidirect
503. #123×C₅₃	C₂³	semidirect
504. #123×C₅₃	C₂³	semidirect
507. C₂²⋊Q₈×C₅₃	C₂³	semidirect
512. #121×C₅₃	C₂³	semidirect
513. #121×C₅₃	C₂³	semidirect
515. C₄×Q₈×C₅₃	C₂³	semidirect
516. C₄×Q₈×C₅₃	C₂³	semidirect
517. C₄×Q₈×C₅₃	C₂³	semidirect
523. C₄×D₄×C₅₃	C₂³	semidirect
524. C₄×D₄×C₅₃	C₂³	semidirect
525. C₄×D₄×C₅₃	C₂³	semidirect
526. C₄×D₄×C₅₃	C₂³	semidirect
528. #117×C₅₃	C₂³	semidirect
529. #117×C₅₃	C₂³	semidirect
531. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
630. C₂×C₄×D₅₃	#41	semidirect
798. C₂×C₄×C₅₃	C₂×#41	semidirect
827. C₂×Dic₅₃	C₂×#41	semidirect
868. C₄×D₅₃	C₂×#41	semidirect
869. C₄×D₅₃	C₂×#41	semidirect
939. #3506	D₅₃	direct (N × H)
962. D₅₃	#3506	direct (N × H)
978. #559	C₂×D₅₃	semidirect
987. #556	C₂×D₅₃	semidirect
996. #555	C₂×D₅₃	semidirect
1008. #553	C₂×D₅₃	semidirect
1017. #550	C₂×D₅₃	semidirect
1026. #547	C₂×D₅₃	semidirect
1036. #538	C₂×D₅₃	semidirect
1045. #535	C₂×D₅₃	semidirect
1055. #533	C₂×D₅₃	semidirect
1065. #532	C₂×D₅₃	semidirect
1087. #525	C₂×D₅₃	semidirect
1108. #520	C₂×D₅₃	semidirect
1130. C₂×C₄×D₄	C₂×D₅₃	semidirect
1138. C₅₃	C₂×#3506	semidirect
1153. C₂×#41	C₂²×D₅₃	semidirect
1198. C₄⋊Q₈	C₂²×D₅₃	semidirect
1199. C₄⋊Q₈	C₂²×D₅₃	semidirect
1200. C₄⋊Q₈	C₂²×D₅₃	semidirect
1211. #127	C₂²×D₅₃	semidirect
1219. #126	C₂²×D₅₃	semidirect
1225. #125	C₂²×D₅₃	semidirect
1244. #124	C₂²×D₅₃	semidirect
1245. #124	C₂²×D₅₃	semidirect
1260. #123	C₂²×D₅₃	semidirect
1261. #123	C₂²×D₅₃	semidirect
1279. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1316. #121	C₂²×D₅₃	semidirect
1317. #121	C₂²×D₅₃	semidirect
1341. C₄×Q₈	C₂²×D₅₃	semidirect
1342. C₄×Q₈	C₂²×D₅₃	semidirect
1343. C₄×Q₈	C₂²×D₅₃	semidirect
1398. C₄×D₄	C₂²×D₅₃	semidirect
1399. C₄×D₄	C₂²×D₅₃	semidirect
1400. C₄×D₄	C₂²×D₅₃	semidirect
1401. C₄×D₄	C₂²×D₅₃	semidirect
1418. #117	C₂²×D₅₃	semidirect
1419. #117	C₂²×D₅₃	semidirect
1441. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1802. C₂×C₄	#41×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288569	2
#20288568	2
#20288567	2
#20288566	2
#20288565	2
#20288564	2
#20288563	2
#20288562	2
#20288561	2
#20288560	2
#20288559	2
#20288558	2
#20288557	2
#559×D₅₃	2
#556×D₅₃	2
#555×D₅₃	2
#553×D₅₃	2
#550×D₅₃	2
#547×D₅₃	2
#538×D₅₃	2
#535×D₅₃	2
#533×D₅₃	2
#532×D₅₃	2
#525×D₅₃	2
#520×D₅₃	2
C₂×C₄×D₄×D₅₃	2
C₅₃×#3506	2
C₂×#3506	53

Subgroups — D53×#3506 #28292035

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3506 #28292035