Subgroups — C₂×#20288774 #28292213

Order 13568.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288774	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811340	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811340	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811328	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811318	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811316	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811313	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811306	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811305	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811296	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811273	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811262	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811262	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811241	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811232	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811218	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811214	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811210	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811205	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811154	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811153	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811151	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811150	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²×#13133212	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#126×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811102	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811095	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×#11719947	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11719947	C₂²	1	1	yes	characteristic
34	C₂²×#11719947	C₂²	1	1	yes	characteristic
35	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
36	#16811340	C₂²	1	16	yes	complemented
37	#16811340	C₂²	1	16	yes	complemented
38	#16811328	C₂²	1	16	yes	complemented
39	#16811318	C₂²	1	16	yes	complemented
40	#16811316	C₂²	1	16	yes	complemented
41	#16811313	C₂²	1	16	yes	complemented
42	#16811306	C₂²	1	16	yes	complemented
43	#16811305	C₂²	1	16	yes	complemented
44	#16811302	C₂²	1	16	yes	complemented
45	#16811302	C₂²	1	16	yes	complemented
46	#16811302	C₂²	1	16	yes	complemented
47	#16811296	C₂²	1	16	yes	complemented
48	#16811273	C₂²	1	16	yes	complemented
49	#16811262	C₂²	1	16	yes	complemented
50	#16811262	C₂²	1	16	yes	complemented
51	#16811241	C₂²	1	16	yes	complemented
52	#16811232	C₂²	1	16	yes	complemented
53	#16811218	C₂²	1	16	yes	complemented
54	#16811214	C₂²	1	16	yes	complemented
55	#16811210	C₂²	1	16	yes	complemented
56	#16811205	C₂²	1	16	yes	complemented
57	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
59	#16811154	C₂²	1	16	yes	complemented
60	#16811153	C₂²	1	16	yes	complemented
61	#16811151	C₂²	1	16	yes	complemented
62	#16811150	C₂²	1	16	yes	complemented
63	C₂×#13133212	C₂²	1	1	yes	characteristic
64	C₂×#13133212	C₂²	1	1	yes	characteristic
65	C₂×#13133212	C₂²	1	1	yes	characteristic
66	C₂×#13133212	C₂²	1	1	yes	characteristic
67	C₂×#13133212	C₂²	1	1	yes	characteristic
68	C₂×#13133212	C₂²	1	1	yes	characteristic
69	C₂×#13133212	C₂²	1	1	yes	characteristic
70	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
71	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
73	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
74	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13133212	C₂²	1	16	yes	complemented
76	C₂×#13133211	C₂²	1	1	yes	characteristic
77	C₂×#13133211	C₂²	1	1	yes	characteristic
78	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
84	#126×D₅₃	C₂²	1	16	yes	complemented
85	C₂×#13133209	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13133203	C₂²	1	1	yes	characteristic
95	C₂×#13133203	C₂²	1	1	yes	characteristic
96	C₂×#13133203	C₂²	1	1	yes	characteristic
97	C₂×#13133203	C₂²	1	1	yes	characteristic
98	C₂×#13133203	C₂²	1	1	yes	characteristic
99	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133202	C₂²	1	1	yes	characteristic
101	C₂×#13133202	C₂²	1	1	yes	characteristic
102	C₂×#13133201	C₂²	1	1	yes	characteristic
103	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13133200	C₂²	1	1	yes	characteristic
105	C₂×#13133200	C₂²	1	1	yes	characteristic
106	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13133198	C₂²	1	1	yes	characteristic
111	C₂×#13133198	C₂²	1	1	yes	characteristic
112	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
113	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
117	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
118	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
119	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
120	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13133195	C₂²	1	1	yes	characteristic
122	C₂×#13133195	C₂²	1	1	yes	characteristic
123	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
124	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
125	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
126	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
127	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13133190	C₂²	1	1	yes	characteristic
132	C₂×#13133190	C₂²	1	1	yes	characteristic
133	C₂×#13133189	C₂²	1	1	yes	characteristic
134	C₂×#13133189	C₂²	1	1	yes	characteristic
135	C₂×#13133189	C₂²	1	1	yes	characteristic
136	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
137	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
138	C₂×#13133185	C₂²	1	1	yes	characteristic
139	C₂×#13133185	C₂²	1	1	yes	characteristic
140	C₂×#13133185	C₂²	1	1	yes	characteristic
141	C₂×#13133185	C₂²	1	1	yes	characteristic
142	#16811102	C₂²	1	16	yes	complemented
143	#16811095	C₂²	1	16	yes	complemented
144	C₄×#11719947	C₂²	1	16	yes	complemented
145	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
147	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
148	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
149	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
150	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
151	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
152	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
153	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic
154	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
155	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
156	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
157	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
158	C₂×#13133179	C₂²	1	1	yes	characteristic
159	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
160	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
161	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
162	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
163	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
165	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
166	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
167	C₂×#13133177	C₂²	1	1	yes	characteristic
168	C₂×#13133177	C₂²	1	1	yes	characteristic
169	C₂×#13133177	C₂²	1	1	yes	characteristic
170	C₂×#13133177	C₂²	1	1	yes	characteristic
171	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
172	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
174	C₂×#13133175	C₂²	1	1	yes	characteristic
175	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133174	C₂²	1	1	yes	characteristic
177	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
178	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
180	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
181	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
182	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
183	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
184	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
185	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
186	C₂²×C₄⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
188	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
189	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
191	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
192	C₂²×#11719921	C₂²	1	1	yes	characteristic
193	C₂²×#11719921	C₂²	1	1	yes	characteristic
194	C₂²×#11719921	C₂²	1	1	yes	characteristic
195	C₂²×#11719921	C₂²	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
199	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
200	C₂²×C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
201	C₂²×C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₅₃×#553	C₂²	1	16	yes	complemented
204	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
205	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
206	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
207	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
208	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
209	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
210	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
211	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
212	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
214	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
217	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
218	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
220	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
221	C₂×#11719947	—	2	8	no	—
222	C₂×#11719947	—	2	8	no	—
223	C₂×#11719947	C₂³	1	8	yes	—
224	C₂×#11719947	C₂³	1	8	yes	—
225	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
226	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
227	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
228	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
229	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
230	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
231	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
232	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
239	C₂×D₄×D₅₃	—	2	8	no	—
240	C₂×D₄×D₅₃	C₂³	1	8	yes	—
241	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
242	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
243	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
244	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
245	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
246	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
247	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
248	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
250	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
251	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
252	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
253	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
254	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
255	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
256	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
257	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
258	#13133216	C₂³	1	8	yes	complemented
259	#13133216	C₂³	1	8	yes	complemented
260	#13133212	C₂³	1	8	yes	—
261	#13133212	C₂³	1	8	yes	—
262	#13133212	C₂³	1	8	yes	—
263	#13133212	C₂³	1	8	yes	—
264	#13133212	C₂³	1	8	yes	—
265	#13133212	C₂³	1	8	yes	—
266	#13133212	C₂³	1	8	yes	—
267	#13133212	C₂³	1	8	yes	complemented
268	#13133212	C₂³	1	8	yes	complemented
269	#13133212	C₂³	1	8	yes	complemented
270	#13133212	C₂³	1	8	yes	complemented
271	#13133212	C₂³	1	8	yes	complemented
272	#13133211	C₂³	1	8	yes	—
273	#13133211	C₂³	1	8	yes	—
274	#13133210	C₂³	1	8	yes	complemented
275	#13133210	C₂³	1	8	yes	complemented
276	#13133210	C₂³	1	8	yes	complemented
277	#13133210	C₂³	1	8	yes	complemented
278	#13133210	C₂³	1	8	yes	complemented
279	#13133210	C₂³	1	8	yes	complemented
280	#13133209	C₂³	1	8	yes	complemented
281	#13133208	C₂³	1	8	yes	complemented
282	#13133207	C₂³	1	8	yes	complemented
283	#13133207	C₂³	1	8	yes	complemented
284	#13133207	C₂³	1	8	yes	complemented
285	#13133207	C₂³	1	8	yes	complemented
286	#13133207	C₂³	1	8	yes	complemented
287	#13133207	C₂³	1	8	yes	complemented
288	#13133204	C₂³	1	8	yes	complemented
289	#13133203	C₂³	1	8	yes	—
290	#13133203	C₂³	1	8	yes	—
291	#13133203	C₂³	1	8	yes	—
292	#13133203	C₂³	1	8	yes	—
293	#13133203	C₂³	1	8	yes	—
294	#13133203	C₂³	1	8	yes	complemented
295	#13133202	C₂³	1	8	yes	—
296	#13133202	C₂³	1	8	yes	—
297	#13133201	C₂³	1	8	yes	—
298	#13133201	C₂³	1	8	yes	complemented
299	#13133200	C₂³	1	8	yes	—
300	#13133200	C₂³	1	8	yes	—
301	#13133199	C₂³	1	8	yes	complemented
302	#13133199	C₂³	1	8	yes	complemented
303	#13133199	C₂³	1	8	yes	complemented
304	#13133199	C₂³	1	8	yes	complemented
305	#13133198	C₂³	1	8	yes	—
306	#13133198	C₂³	1	8	yes	—
307	#13133198	C₂³	1	8	yes	complemented
308	#13133198	C₂³	1	8	yes	complemented
309	#13133198	C₂³	1	8	yes	complemented
310	#13133198	C₂³	1	8	yes	complemented
311	#13133197	C₂³	1	8	yes	complemented
312	#13133196	C₂³	1	8	yes	complemented
313	#13133196	C₂³	1	8	yes	complemented
314	#13133196	C₂³	1	8	yes	complemented
315	#13133196	C₂³	1	8	yes	complemented
316	#13133195	C₂³	1	8	yes	—
317	#13133195	C₂³	1	8	yes	—
318	#13133195	C₂³	1	8	yes	complemented
319	#13133195	C₂³	1	8	yes	complemented
320	#13133195	C₂³	1	8	yes	complemented
321	#13133195	C₂³	1	8	yes	complemented
322	#13133194	C₂³	1	8	yes	complemented
323	#13133194	C₂³	1	8	yes	complemented
324	#13133194	C₂³	1	8	yes	complemented
325	#13133194	C₂³	1	8	yes	complemented
326	#13133190	C₂³	1	8	yes	—
327	#13133190	C₂³	1	8	yes	—
328	#13133189	C₂³	1	8	yes	—
329	#13133189	C₂³	1	8	yes	—
330	#13133189	C₂³	1	8	yes	—
331	#13133189	C₂³	1	8	yes	complemented
332	#13133188	C₂³	1	8	yes	complemented
333	#13133185	C₂³	1	8	yes	—
334	#13133185	C₂³	1	8	yes	—
335	#13133185	C₂³	1	8	yes	—
336	#13133185	C₂³	1	8	yes	—
337	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
338	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
339	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
340	#13133182	C₂³	1	8	yes	complemented
341	#13133182	C₂³	1	8	yes	complemented
342	#13133182	C₂³	1	8	yes	complemented
343	#13133182	C₂³	1	8	yes	complemented
344	C₄×D₂₁₂	C₂³	1	8	yes	—
345	D₄×Dic₅₃	C₂³	1	8	yes	—
346	D₄×Dic₅₃	C₂³	1	8	yes	complemented
347	D₄×Dic₅₃	C₂³	1	8	yes	complemented
348	D₄×Dic₅₃	C₂³	1	8	yes	complemented
349	D₄×Dic₅₃	C₂³	1	8	yes	complemented
350	#13133179	C₂³	1	8	yes	—
351	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
352	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
353	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
354	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
355	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
356	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
357	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
358	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
359	#13133177	C₂³	1	8	yes	—
360	#13133177	C₂³	1	8	yes	—
361	#13133177	C₂³	1	8	yes	—
362	#13133177	C₂³	1	8	yes	—
363	#13133177	C₂³	1	8	yes	complemented
364	#13133177	C₂³	1	8	yes	complemented
365	#13133176	C₂³	1	8	yes	complemented
366	#13133175	C₂³	1	8	yes	—
367	#13133175	C₂³	1	8	yes	complemented
368	#13133174	C₂³	1	8	yes	—
369	#13133174	C₂³	1	8	yes	complemented
370	#13133174	C₂³	1	8	yes	complemented
371	#13133174	C₂³	1	8	yes	complemented
372	#13133173	C₂³	1	8	yes	complemented
373	#13133173	C₂³	1	8	yes	complemented
374	#13133173	C₂³	1	8	yes	complemented
375	#13133173	C₂³	1	8	yes	complemented
376	#13133173	C₂³	1	8	yes	complemented
377	#13133173	C₂³	1	8	yes	complemented
378	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
379	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
380	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
381	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
382	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₅₃	C₂³	1	8	yes	complemented
389	C₂×#11719919	C₂³	1	1	yes	characteristic
390	C₂×#11719919	C₂³	1	1	yes	characteristic
391	C₂×#11719919	C₂³	1	1	yes	characteristic
392	C₂×#11719919	C₂³	1	1	yes	characteristic
393	C₂×#11719919	C₂³	1	1	yes	characteristic
394	C₂×#11719919	C₂³	1	1	yes	characteristic
395	C₂×#11719919	C₂³	1	1	yes	characteristic
396	C₂×#11719919	C₂³	1	1	yes	characteristic
397	C₂×#11719919	C₂³	1	1	yes	characteristic
398	C₂×#11719919	C₂³	1	1	yes	characteristic
399	C₂×#11719919	C₂³	1	1	yes	characteristic
400	C₂×#11719919	C₂³	1	1	yes	characteristic
401	C₂×#11719919	C₂³	1	1	yes	characteristic
402	C₂×#11719919	C₂³	1	1	yes	characteristic
403	C₂×#11719919	C₂³	1	1	yes	characteristic
404	C₂×#11719919	C₂³	1	1	yes	characteristic
405	C₂×#11719919	C₂³	1	1	yes	characteristic
406	C₂×#11719919	C₂³	1	1	yes	characteristic
407	C₂×#11719919	C₂³	1	1	yes	characteristic
408	C₂×#11719919	C₂³	1	1	yes	characteristic
409	C₂×#11719919	C₂³	1	1	yes	characteristic
410	C₂×#11719919	C₂³	1	1	yes	characteristic
411	C₂×#11719919	C₂³	1	1	yes	characteristic
412	C₂×#11719919	C₂³	1	1	yes	characteristic
413	C₂×#11719919	C₂³	1	1	yes	characteristic
414	C₂×#11719919	C₂³	1	1	yes	characteristic
415	C₂×#11719919	C₂³	1	8	yes	complemented
416	C₂×#11719919	C₂³	1	8	yes	complemented
417	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
418	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
419	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
420	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
421	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
422	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
423	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
424	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
425	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
426	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
427	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
428	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
429	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
430	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
431	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
432	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
433	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
434	C₂×#11719921	C₂³	1	8	yes	—
435	C₂×#11719921	C₂³	1	8	yes	—
436	C₂×#11719921	C₂³	1	8	yes	—
437	C₂×#11719921	C₂³	1	1	yes	characteristic
438	C₂×#11719921	C₂³	1	1	yes	characteristic
439	C₂×#11719921	C₂³	1	1	yes	characteristic
440	C₂×#11719921	C₂³	1	1	yes	characteristic
441	C₂×#11719921	C₂³	1	1	yes	characteristic
442	C₂×#11719921	C₂³	1	1	yes	characteristic
443	C₂×#11719921	C₂³	1	1	yes	characteristic
444	C₂×#11719921	C₂³	1	1	yes	characteristic
445	C₂×#11719921	C₂³	1	1	yes	characteristic
446	C₂×#11719921	C₂³	1	1	yes	characteristic
447	C₂×#11719921	C₂³	1	1	yes	characteristic
448	C₂×#11719921	C₂³	1	1	yes	characteristic
449	C₂×#11719921	C₂³	1	1	yes	characteristic
450	C₂×#11719921	C₂³	1	1	yes	characteristic
451	C₂×#11719921	C₂³	1	8	yes	—
452	C₂×#11719921	C₂³	1	1	yes	characteristic
453	C₂×#11719921	C₂³	1	1	yes	characteristic
454	C₂×#11719921	C₂³	1	1	yes	characteristic
455	C₂×#11719921	C₂³	1	1	yes	characteristic
456	C₂×#11719921	C₂³	1	1	yes	characteristic
457	C₂×#11719921	C₂³	1	1	yes	characteristic
458	C₂×#11719921	C₂³	1	1	yes	characteristic
459	C₂×#11719921	C₂³	1	1	yes	characteristic
460	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
461	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
462	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
463	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
464	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
465	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
466	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
467	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
468	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
469	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
470	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
471	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
472	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
473	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
474	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
475	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
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	C₂×C₄×Dic₅₃	C₂³	1	8	yes	complemented
480	C₂×C₄×Dic₅₃	C₂³	1	8	yes	complemented
481	C₄²×D₅₃	C₂³	1	8	yes	complemented
482	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
483	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
484	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
485	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
486	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
487	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
488	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
489	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
490	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
491	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
492	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
493	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
494	#126×C₅₃	C₂³	1	8	yes	complemented
495	#126×C₅₃	C₂³	1	8	yes	complemented
496	#125×C₅₃	C₂³	1	8	yes	complemented
497	#123×C₅₃	C₂³	1	8	yes	complemented
498	#123×C₅₃	C₂³	1	8	yes	complemented
499	#121×C₅₃	C₂³	1	8	yes	—
500	#121×C₅₃	C₂³	1	8	yes	—
501	#121×C₅₃	C₂³	1	8	yes	complemented
502	#121×C₅₃	C₂³	1	8	yes	complemented
503	C₄×D₄×C₅₃	C₂³	1	8	yes	—
504	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
505	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
506	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
507	#117×C₅₃	C₂³	1	8	yes	complemented
508	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
510	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
511	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
512	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
513	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
514	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
515	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
516	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
517	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
518	C₂×C₄⋊C₄×C₅₃	C₂³	1	8	yes	complemented
519	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
520	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
521	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
522	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
523	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
524	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
525	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
526	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
527	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
528	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
529	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
530	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
531	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
532	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
533	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
534	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
535	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
536	C₂³×D₅₃	—	2	4	no	—
537	C₂³×D₅₃	—	2	4	no	—
538	C₂³×D₅₃	—	4	2	no	—
539	C₂³×D₅₃	—	4	2	no	—
540	C₂³×D₅₃	—	4	2	no	—
541	C₂³×D₅₃	—	4	2	no	—
542	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
543	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
544	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
545	C₂³×D₅₃	C₂⁴	1	4	yes	—
546	C₂³×D₅₃	C₂⁴	1	4	yes	—
547	C₂×D₄×C₅₃	—	2	4	no	—
548	C₂×D₄×C₅₃	—	2	4	no	—
549	C₂×D₄×C₅₃	—	2	4	no	—
550	C₂×D₄×C₅₃	—	4	2	no	—
551	C₂×D₄×C₅₃	—	4	2	no	—
552	C₂×D₄×C₅₃	—	4	2	no	—
553	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
554	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
555	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
556	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
557	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
558	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
559	C₂²×C₄×C₅₃	—	4	2	no	—
560	C₂²×C₄×C₅₃	—	4	2	no	—
561	C₂²×C₄×C₅₃	—	4	2	no	—
562	C₂²×C₄×C₅₃	—	4	2	no	—
563	C₂²×C₄×C₅₃	—	4	2	no	—
564	C₂²×C₄×C₅₃	—	4	2	no	—
565	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
577	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
578	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
579	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
580	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
581	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
582	C₂×C₂²⋊D₅₃	—	2	4	no	—
583	C₂×C₂²⋊D₅₃	—	2	4	no	—
584	C₂×C₂²⋊D₅₃	—	2	4	no	—
585	C₂×C₂²⋊D₅₃	—	4	2	no	—
586	C₂×C₂²⋊D₅₃	—	4	2	no	—
587	C₂×C₂²⋊D₅₃	—	4	2	no	—
588	C₂×C₂²⋊D₅₃	—	4	2	no	—
589	C₂×C₂²⋊D₅₃	#41	1	8	yes	—
590	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
591	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
592	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
593	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
594	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
595	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
596	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
597	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
598	C₂²×Dic₅₃	—	2	4	no	—
599	C₂²×Dic₅₃	—	2	4	no	—
600	C₂²×Dic₅₃	—	2	4	no	—
601	C₂²×Dic₅₃	—	2	4	no	—
602	C₂²×Dic₅₃	—	4	2	no	—
603	C₂²×Dic₅₃	—	4	2	no	—
604	C₂²×Dic₅₃	—	4	2	no	—
605	C₂²×Dic₅₃	—	4	2	no	—
606	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
607	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
611	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
612	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
613	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
614	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
615	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
617	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
618	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
619	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
620	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
621	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
622	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
623	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
624	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
625	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
626	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
627	#11719947	—	2	32	no	—
628	#11719947	—	2	32	no	—
629	D₄×D₅₃	—	2	32	no	—
630	C₂×D₂₁₂	—	2	4	no	—
631	C₂×D₂₁₂	C₂⁴	1	4	yes	—
632	C₂×C₄×D₅₃	—	2	4	no	—
633	C₂×C₄×D₅₃	—	2	4	no	—
634	C₂×C₄×D₅₃	—	2	4	no	—
635	C₂×C₄×D₅₃	—	4	2	no	—
636	C₂×C₄×D₅₃	—	4	2	no	—
637	C₂×C₄×D₅₃	—	4	2	no	—
638	C₂×C₄×D₅₃	—	4	2	no	—
639	C₂×C₄×D₅₃	—	4	2	no	—
640	C₂×C₄×D₅₃	—	4	2	no	—
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	4	yes	—
645	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
646	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
647	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
648	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
649	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
650	C₂×Dic₁₀₆	—	2	4	no	—
651	C₂×Dic₁₀₆	—	2	4	no	—
652	C₂×Dic₁₀₆	—	4	2	no	—
653	C₂×Dic₁₀₆	—	4	2	no	—
654	C₂×Dic₁₀₆	—	4	2	no	—
655	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
656	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
657	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
658	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
659	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
660	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
661	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
662	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
663	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
665	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
666	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
667	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
668	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
669	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
670	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
671	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
672	C₂²⋊C₄×C₅₃	C₂⁴	1	4	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	4	yes	—
677	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
678	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
679	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
680	C₄²×C₅₃	C₂⁴	1	4	yes	—
681	C₄²×C₅₃	C₂⁴	1	4	yes	—
682	C₄²×C₅₃	C₂⁴	1	4	yes	—
683	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
684	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
685	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
686	C₂²⋊Dic₅₃	C₂⁴	1	4	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	4	yes	—
691	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
692	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
693	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
694	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
695	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
696	C₂²⋊Dic₅₃	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	4	yes	—
702	#11719921	C₂⁴	1	4	yes	—
703	#11719921	C₂⁴	1	4	yes	—
704	#11719921	C₂⁴	1	4	yes	—
705	#11719921	C₂⁴	1	4	yes	—
706	#11719921	C₂⁴	1	4	yes	—
707	#11719921	C₂⁴	1	4	yes	—
708	#11719921	C₂⁴	1	4	yes	—
709	#11719921	C₂⁴	1	4	yes	—
710	#11719921	C₂⁴	1	4	yes	—
711	#11719921	C₂⁴	1	4	yes	—
712	#11719921	C₂⁴	1	4	yes	—
713	#11719921	C₂⁴	1	4	yes	—
714	#11719921	C₂⁴	1	4	yes	—
715	#11719921	C₂⁴	1	4	yes	—
716	#11719921	C₂⁴	1	4	yes	—
717	#11719921	C₂⁴	1	4	yes	—
718	#11719921	C₂⁴	1	4	yes	—
719	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
720	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
721	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
722	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
723	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
724	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
725	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
726	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
727	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
728	C₄⋊Dic₅₃	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	#11719919	C₂⁴	1	4	yes	—
737	#11719919	C₂⁴	1	4	yes	—
738	#11719919	C₂⁴	1	4	yes	—
739	#11719919	C₂⁴	1	4	yes	—
740	#11719919	C₂⁴	1	4	yes	—
741	#11719919	C₂⁴	1	4	yes	—
742	#11719919	C₂⁴	1	4	yes	—
743	#11719919	C₂⁴	1	4	yes	—
744	#11719919	C₂⁴	1	4	yes	—
745	#11719919	C₂⁴	1	4	yes	—
746	#11719919	C₂⁴	1	4	yes	—
747	#11719919	C₂⁴	1	4	yes	—
748	#11719919	C₂⁴	1	4	yes	—
749	#11719919	C₂⁴	1	4	yes	—
750	#11719919	C₂⁴	1	4	yes	—
751	#11719919	C₂⁴	1	4	yes	—
752	#11719919	C₂⁴	1	4	yes	—
753	#11719919	C₂⁴	1	4	yes	—
754	#11719919	C₂⁴	1	4	yes	—
755	C₄×Dic₅₃	C₂⁴	1	4	yes	—
756	C₄×Dic₅₃	C₂⁴	1	4	yes	—
757	C₄×Dic₅₃	C₂⁴	1	4	yes	—
758	C₄×Dic₅₃	C₂⁴	1	4	yes	—
759	C₄×Dic₅₃	C₂⁴	1	4	yes	—
760	C₄×Dic₅₃	C₂⁴	1	4	yes	—
761	C₄×Dic₅₃	C₂⁴	1	4	yes	—
762	C₄×Dic₅₃	C₂⁴	1	4	yes	—
763	C₄×Dic₅₃	C₂⁴	1	4	yes	—
764	C₄×Dic₅₃	C₂⁴	1	4	yes	—
765	C₄×Dic₅₃	C₂⁴	1	4	yes	—
766	C₄×Dic₅₃	C₂⁴	1	4	yes	—
767	C₄×Dic₅₃	C₂⁴	1	4	yes	—
768	C₄×Dic₅₃	C₂⁴	1	4	yes	—
769	C₄×Dic₅₃	C₂⁴	1	4	yes	—
770	C₂³×C₅₃	—	2	2	no	—
771	C₂³×C₅₃	—	2	2	no	—
772	C₂³×C₅₃	—	2	2	no	—
773	C₂³×C₅₃	—	2	2	no	—
774	C₂³×C₅₃	—	2	2	no	—
775	C₂³×C₅₃	—	2	2	no	—
776	C₂³×C₅₃	—	2	2	no	—
777	C₂³×C₅₃	—	2	2	no	—
778	C₂³×C₅₃	—	2	2	no	—
779	C₂³×C₅₃	—	2	2	no	—
780	C₂³×C₅₃	—	2	2	no	—
781	C₂³×C₅₃	C₂×#41	1	4	yes	—
782	C₂³×C₅₃	C₂⁵	1	2	yes	—
783	C₂³×C₅₃	C₂⁵	1	2	yes	—
784	C₂³×C₅₃	C₂⁵	1	2	yes	—
785	C₂³×C₅₃	C₂⁵	1	2	yes	—
786	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
787	C₂²×D₅₃	—	2	2	no	—
788	C₂²×D₅₃	—	2	2	no	—
789	C₂²×D₅₃	—	2	2	no	—
790	C₂²×D₅₃	—	2	2	no	—
791	C₂²×D₅₃	—	2	2	no	—
792	C₂²×D₅₃	—	2	2	no	—
793	C₂²×D₅₃	—	2	2	no	—
794	C₂²×D₅₃	—	2	2	no	—
795	C₂²×D₅₃	—	2	8	no	—
796	C₂²×D₅₃	—	2	8	no	—
797	C₂²×D₅₃	—	4	4	no	—
798	C₂²×D₅₃	—	4	4	no	—
799	C₂²×D₅₃	—	4	4	no	—
800	C₂²×D₅₃	—	4	4	no	—
801	C₂²×D₅₃	—	8	8	no	—
802	C₂²×D₅₃	—	8	8	no	—
803	C₂²×D₅₃	C₂×#41	1	4	yes	—
804	C₂²×D₅₃	C₂⁵	1	2	yes	—
805	C₂²×D₅₃	C₂⁵	1	2	yes	—
806	C₂²×D₅₃	C₂⁵	1	2	yes	—
807	D₄×C₅₃	—	2	8	no	—
808	D₄×C₅₃	—	2	8	no	—
809	D₄×C₅₃	—	2	8	no	—
810	D₄×C₅₃	—	4	4	no	—
811	D₄×C₅₃	—	4	4	no	—
812	D₄×C₅₃	—	4	4	no	—
813	C₂×C₄×C₅₃	—	2	2	no	—
814	C₂×C₄×C₅₃	—	2	2	no	—
815	C₂×C₄×C₅₃	—	2	2	no	—
816	C₂×C₄×C₅₃	—	2	2	no	—
817	C₂×C₄×C₅₃	—	2	2	no	—
818	C₂×C₄×C₅₃	—	2	2	no	—
819	C₂×C₄×C₅₃	—	2	2	no	—
820	C₂×C₄×C₅₃	—	2	2	no	—
821	C₂×C₄×C₅₃	—	2	2	no	—
822	C₂×C₄×C₅₃	—	2	2	no	—
823	C₂×C₄×C₅₃	—	2	2	no	—
824	C₂×C₄×C₅₃	—	4	4	no	—
825	C₂×C₄×C₅₃	—	4	4	no	—
826	C₂×C₄×C₅₃	—	4	4	no	—
827	C₂×C₄×C₅₃	—	4	4	no	—
828	C₂×C₄×C₅₃	—	4	4	no	—
829	C₂×C₄×C₅₃	—	4	4	no	—
830	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
831	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
832	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
833	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
834	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
835	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
836	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
837	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
838	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
839	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
840	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
841	C₂²⋊D₅₃	—	2	8	no	—
842	C₂²⋊D₅₃	—	2	8	no	—
843	C₂²⋊D₅₃	—	2	8	no	—
844	C₂²⋊D₅₃	—	4	4	no	—
845	C₂²⋊D₅₃	—	4	4	no	—
846	C₂²⋊D₅₃	—	4	4	no	—
847	C₂²⋊D₅₃	—	4	4	no	—
848	C₂²⋊D₅₃	C₂×#41	1	16	yes	—
849	C₂×Dic₅₃	—	2	2	no	—
850	C₂×Dic₅₃	—	2	2	no	—
851	C₂×Dic₅₃	—	2	2	no	—
852	C₂×Dic₅₃	—	2	2	no	—
853	C₂×Dic₅₃	—	2	8	no	—
854	C₂×Dic₅₃	—	2	8	no	—
855	C₂×Dic₅₃	—	2	2	no	—
856	C₂×Dic₅₃	—	2	2	no	—
857	C₂×Dic₅₃	—	2	2	no	—
858	C₂×Dic₅₃	—	2	2	no	—
859	C₂×Dic₅₃	—	2	2	no	—
860	C₂×Dic₅₃	—	2	2	no	—
861	C₂×Dic₅₃	—	2	2	no	—
862	C₂×Dic₅₃	—	2	2	no	—
863	C₂×Dic₅₃	—	2	8	no	—
864	C₂×Dic₅₃	—	2	8	no	—
865	C₂×Dic₅₃	—	4	4	no	—
866	C₂×Dic₅₃	—	4	4	no	—
867	C₂×Dic₅₃	—	4	4	no	—
868	C₂×Dic₅₃	—	4	4	no	—
869	C₂×Dic₅₃	C₂×#41	1	4	yes	—
870	C₂×Dic₅₃	C₂⁵	1	2	yes	—
871	C₂×Dic₅₃	C₂⁵	1	2	yes	—
872	C₂×Dic₅₃	C₂⁵	1	2	yes	—
873	C₂×Dic₅₃	C₂⁵	1	2	yes	—
874	C₂×Dic₅₃	C₂⁵	1	2	yes	—
875	C₂×Dic₅₃	C₂⁵	1	2	yes	—
876	C₂×Dic₅₃	C₂⁵	1	2	yes	—
877	C₂×Dic₅₃	C₂⁵	1	2	yes	—
878	C₂×Dic₅₃	C₂⁵	1	2	yes	—
879	C₂×Dic₅₃	C₂⁵	1	2	yes	—
880	C₂×Dic₅₃	C₂⁵	1	2	yes	—
881	C₂×Dic₅₃	C₂⁵	1	2	yes	—
882	C₂×Dic₅₃	C₂⁵	1	2	yes	—
883	D₂₁₂	—	2	8	no	—
884	C₄×D₅₃	—	2	8	no	—
885	C₄×D₅₃	—	2	8	no	—
886	C₄×D₅₃	—	2	8	no	—
887	C₄×D₅₃	—	4	4	no	—
888	C₄×D₅₃	—	4	4	no	—
889	C₄×D₅₃	—	4	4	no	—
890	C₄×D₅₃	—	4	4	no	—
891	C₄×D₅₃	—	4	4	no	—
892	C₄×D₅₃	—	4	4	no	—
893	Dic₁₀₆	—	2	8	no	—
894	Dic₁₀₆	—	2	8	no	—
895	Dic₁₀₆	—	4	4	no	—
896	Dic₁₀₆	—	4	4	no	—
897	Dic₁₀₆	—	4	4	no	—
898	C₂×#3521	—	53	1	no	maximal, Sylow
899	C₂²×C₅₃	—	2	2	no	—
900	C₂²×C₅₃	—	2	2	no	—
901	C₂²×C₅₃	—	2	8	no	—
902	C₂²×C₅₃	—	2	2	no	—
903	C₂²×C₅₃	—	2	2	no	—
904	C₂²×C₅₃	—	2	2	no	—
905	C₂²×C₅₃	—	2	2	no	—
906	C₂²×C₅₃	—	2	2	no	—
907	C₂²×C₅₃	—	2	2	no	—
908	C₂²×C₅₃	—	2	2	no	—
909	C₂²×C₅₃	—	2	2	no	—
910	C₂²×C₅₃	—	2	2	no	—
911	C₂²×C₅₃	—	4	4	no	—
912	C₂²×C₅₃	—	4	4	no	—
913	C₂²×C₅₃	—	4	4	no	—
914	C₂²×C₅₃	C₂²×#41	1	4	yes	—
915	C₂²×C₅₃	C₂²×#41	1	2	yes	—
916	C₂²×C₅₃	#585	1	2	yes	—
917	C₂²×C₅₃	#585	1	2	yes	—
918	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
919	C₂×D₅₃	—	2	2	no	—
920	C₂×D₅₃	—	2	2	no	—
921	C₂×D₅₃	—	2	8	no	—
922	C₂×D₅₃	—	2	2	no	—
923	C₂×D₅₃	—	2	2	no	—
924	C₂×D₅₃	—	2	2	no	—
925	C₂×D₅₃	—	2	2	no	—
926	C₂×D₅₃	—	2	2	no	—
927	C₂×D₅₃	—	2	2	no	—
928	C₂×D₅₃	—	4	4	no	—
929	C₂×D₅₃	—	4	4	no	—
930	C₂×D₅₃	—	8	8	no	—
931	C₂×D₅₃	—	8	8	no	—
932	C₂×D₅₃	C₂²×#41	1	4	yes	—
933	C₄×C₅₃	—	2	2	no	—
934	C₄×C₅₃	—	2	2	no	—
935	C₄×C₅₃	—	2	2	no	—
936	C₄×C₅₃	—	2	2	no	—
937	C₄×C₅₃	—	2	2	no	—
938	C₄×C₅₃	—	2	2	no	—
939	C₄×C₅₃	—	2	2	no	—
940	C₄×C₅₃	—	2	2	no	—
941	C₄×C₅₃	—	2	2	no	—
942	C₄×C₅₃	—	2	2	no	—
943	C₄×C₅₃	—	2	2	no	—
944	Dic₅₃	—	2	2	no	—
945	Dic₅₃	—	2	2	no	—
946	Dic₅₃	—	2	2	no	—
947	Dic₅₃	—	2	2	no	—
948	Dic₅₃	—	2	2	no	—
949	Dic₅₃	—	2	2	no	—
950	Dic₅₃	—	2	2	no	—
951	Dic₅₃	—	2	2	no	—
952	Dic₅₃	—	2	2	no	—
953	Dic₅₃	—	2	2	no	—
954	Dic₅₃	—	2	2	no	—
955	Dic₅₃	—	2	2	no	—
956	Dic₅₃	C₂²×#41	1	4	yes	—
957	#3521	—	53	32	no	—
958	C₂×#556	—	53	1	no	—
959	C₂×#556	—	53	1	no	—
960	C₂×#554	—	53	1	no	—
961	C₂×#553	—	53	1	no	—
962	C₂×#553	—	53	1	no	—
963	C₂×#553	D₅₃	1	1	yes	characteristic, complemented
964	C₂×#552	—	53	1	no	—
965	C₂×#552	—	53	1	no	—
966	C₂×#552	—	53	1	no	—
967	C₂×#551	—	53	1	no	—
968	C₂×#551	—	53	1	no	—
969	C₂×#551	—	53	1	no	—
970	C₂×#551	—	53	1	no	—
971	C₂×#547	—	53	1	no	—
972	C₂×#546	—	53	1	no	—
973	C₂×#546	—	53	1	no	—
974	C₂×#542	—	53	1	no	—
975	C₂×#541	—	53	1	no	—
976	C₂×#539	—	53	1	no	—
977	C₂×#539	—	53	1	no	—
978	C₂×#538	—	53	1	no	—
979	C₂×#538	—	53	1	no	—
980	C₂×#529	—	53	1	no	—
981	C₂×#529	—	53	1	no	—
982	C₂×#529	—	53	1	no	—
983	C₂×#529	—	53	1	no	—
984	C₂²×#126	—	53	1	no	—
985	C₂²×#126	—	53	1	no	—
986	C₂×#520	—	53	1	no	—
987	C₂×#518	—	53	1	no	—
988	C₂×C₄×#41	—	53	1	no	—
989	C₂×C₅₃	—	2	4	no	—
990	C₂×C₅₃	—	4	2	no	—
991	C₂×C₅₃	—	4	2	no	—
992	C₂×C₅₃	—	4	2	no	—
993	C₂×C₅₃	#3521	1	4	yes	complemented
994	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
995	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
996	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
997	D₅₃	—	2	4	no	—
998	D₅₃	—	4	2	no	—
999	D₅₃	—	4	2	no	—
1000	C₂²×#41	—	53	1	no	—
1001	C₂²×#41	—	53	1	no	—
1002	C₂³×D₄	—	53	1	no	—
1003	#556	—	53	16	no	—
1004	#556	—	53	16	no	—
1005	#554	—	53	16	no	—
1006	#553	—	53	16	no	—
1007	#553	—	53	16	no	—
1008	#553	C₂×D₅₃	1	16	yes	complemented
1009	#552	—	53	16	no	—
1010	#552	—	53	16	no	—
1011	#552	—	53	16	no	—
1012	#551	—	53	16	no	—
1013	#551	—	53	16	no	—
1014	#551	—	53	16	no	—
1015	#551	—	53	16	no	—
1016	#547	—	53	16	no	—
1017	#546	—	53	16	no	—
1018	#546	—	53	16	no	—
1019	#542	—	53	16	no	—
1020	#541	—	53	16	no	—
1021	#539	—	53	16	no	—
1022	#539	—	53	16	no	—
1023	#538	—	53	16	no	—
1024	#538	—	53	16	no	—
1025	C₂×C₄⋊Q₈	—	53	1	no	—
1026	C₂×C₄⋊Q₈	—	53	1	no	—
1027	#529	—	53	16	no	—
1028	#529	—	53	16	no	—
1029	#529	—	53	16	no	—
1030	#529	—	53	16	no	—
1031	C₂×#126	—	53	16	no	—
1032	C₂×#126	—	53	1	no	—
1033	C₂×#126	—	53	1	no	—
1034	C₂×#126	—	53	1	no	—
1035	C₂×#126	—	53	1	no	—
1036	C₂×#126	—	53	1	no	—
1037	C₂×#126	—	53	1	no	—
1038	C₂×#126	—	53	1	no	—
1039	C₂×#126	—	53	1	no	—
1040	C₂×#126	—	53	1	no	—
1041	C₂×#126	—	53	1	no	—
1042	C₂×#126	—	53	1	no	—
1043	C₂×#126	—	53	1	no	—
1044	C₂×#126	—	53	16	no	—
1045	C₂×#126	—	53	1	no	—
1046	C₂×#126	—	53	1	no	—
1047	C₂×#126	—	53	1	no	—
1048	C₂×#126	—	53	1	no	—
1049	C₂×#126	—	53	1	no	—
1050	C₂×#126	—	53	1	no	—
1051	C₂×#126	—	53	1	no	—
1052	C₂×#126	—	53	1	no	—
1053	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1054	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1055	C₂×#125	—	53	1	no	—
1056	C₂×#125	—	53	1	no	—
1057	C₂×#125	—	53	1	no	—
1058	C₂×#125	—	53	1	no	—
1059	C₂×#125	—	53	1	no	—
1060	C₂×#125	—	53	1	no	—
1061	C₂×#125	—	53	1	no	—
1062	C₂×#125	—	53	1	no	—
1063	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1064	C₂×#124	—	53	1	no	—
1065	C₂×#124	—	53	1	no	—
1066	C₂×#124	—	53	1	no	—
1067	C₂×#124	—	53	1	no	—
1068	C₂×#124	—	53	1	no	—
1069	C₂×#124	—	53	1	no	—
1070	C₂×#124	—	53	1	no	—
1071	C₂×#123	—	53	1	no	—
1072	C₂×#123	—	53	1	no	—
1073	C₂×#123	—	53	1	no	—
1074	C₂×#123	—	53	1	no	—
1075	C₂×#123	—	53	1	no	—
1076	C₂×#123	—	53	1	no	—
1077	C₂×#123	—	53	1	no	—
1078	C₂×#123	—	53	1	no	—
1079	C₂×#123	—	53	1	no	—
1080	C₂×#123	—	53	1	no	—
1081	C₂×#123	—	53	1	no	—
1082	C₂×#123	—	53	1	no	—
1083	C₂×#123	—	53	1	no	—
1084	C₂×#123	—	53	1	no	—
1085	C₂×#123	—	53	1	no	—
1086	C₂×#123	—	53	1	no	—
1087	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1088	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1089	C₂×C₂²⋊Q₈	—	53	1	no	—
1090	C₂×C₂²⋊Q₈	—	53	1	no	—
1091	C₂×C₂²⋊Q₈	—	53	1	no	—
1092	C₂×C₂²⋊Q₈	—	53	1	no	—
1093	C₂×C₂²⋊Q₈	—	53	1	no	—
1094	C₂×C₂²⋊Q₈	—	53	1	no	—
1095	C₂×C₂²⋊Q₈	—	53	1	no	—
1096	C₂×C₂²⋊Q₈	—	53	1	no	—
1097	C₂×C₂²⋊Q₈	—	53	1	no	—
1098	C₂×C₂²⋊Q₈	—	53	1	no	—
1099	C₂×C₂²⋊Q₈	—	53	1	no	—
1100	C₂×C₂²⋊Q₈	—	53	1	no	—
1101	C₂×C₂²⋊Q₈	—	53	1	no	—
1102	C₂×C₂²⋊Q₈	—	53	1	no	—
1103	C₂×C₂²⋊Q₈	—	53	1	no	—
1104	C₂×#121	—	53	1	no	—
1105	C₂×#121	—	53	1	no	—
1106	C₂×#121	—	53	1	no	—
1107	C₂×#121	—	53	1	no	—
1108	C₂×#121	—	53	1	no	—
1109	C₂×#121	—	53	1	no	—
1110	C₂×#121	—	53	1	no	—
1111	C₂×#121	C₂×D₅₃	1	1	yes	characteristic
1112	C₂×#121	C₂×D₅₃	1	1	yes	characteristic
1113	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1114	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1115	C₂×#120	—	53	1	no	—
1116	C₂×#120	—	53	1	no	—
1117	C₂×#120	—	53	1	no	—
1118	C₂×#120	—	53	1	no	—
1119	#520	—	53	16	no	—
1120	#518	—	53	16	no	—
1121	C₄×#41	—	53	16	no	—
1122	C₂×C₄×Q₈	—	53	1	no	—
1123	C₂×C₄×Q₈	—	53	1	no	—
1124	C₂×C₄×Q₈	—	53	1	no	—
1125	C₂×C₄×Q₈	—	53	1	no	—
1126	C₂×C₄×Q₈	—	53	1	no	—
1127	C₂×C₄×Q₈	—	53	1	no	—
1128	C₂×C₄×Q₈	—	53	1	no	—
1129	C₂×C₄×D₄	—	53	1	no	—
1130	C₂×C₄×D₄	—	53	1	no	—
1131	C₂×C₄×D₄	—	53	1	no	—
1132	C₂×C₄×D₄	—	53	1	no	—
1133	C₂×C₄×D₄	—	53	1	no	—
1134	C₂×C₄×D₄	—	53	1	no	—
1135	C₂×C₄×D₄	—	53	1	no	—
1136	C₂×C₄×D₄	—	53	1	no	—
1137	C₂×C₄×D₄	—	53	1	no	—
1138	C₂×C₄×D₄	—	53	1	no	—
1139	C₂×C₄×D₄	—	53	1	no	—
1140	C₂×C₄×D₄	—	53	1	no	—
1141	C₂×C₄×D₄	—	53	1	no	—
1142	C₂×C₄×D₄	—	53	1	no	—
1143	C₂×C₄×D₄	—	53	1	no	—
1144	C₂×C₄×D₄	—	53	1	no	—
1145	C₂×C₄×D₄	—	53	1	no	—
1146	C₂×C₄×D₄	—	53	1	no	—
1147	C₂×C₄×D₄	—	53	1	no	—
1148	C₂×C₄×D₄	—	53	1	no	—
1149	C₂×C₄×D₄	—	53	1	no	—
1150	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1151	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1152	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1153	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1154	C₂×#117	—	53	1	no	—
1155	C₂×#117	—	53	1	no	—
1156	C₂×#117	—	53	1	no	—
1157	C₂×#117	—	53	1	no	—
1158	C₂×#117	—	53	1	no	—
1159	C₂×#117	—	53	1	no	—
1160	C₂×#117	—	53	1	no	—
1161	C₂×#117	—	53	1	no	—
1162	C₂×#117	—	53	1	no	—
1163	C₂×#117	—	53	1	no	—
1164	C₂×#117	—	53	1	no	—
1165	C₂×#117	—	53	1	no	—
1166	C₂×#117	—	53	1	no	—
1167	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1168	C₂²×C₄⋊C₄	—	53	1	no	—
1169	C₂²×C₄⋊C₄	—	53	1	no	—
1170	C₂²×C₄⋊C₄	—	53	1	no	—
1171	C₂²×C₄⋊C₄	—	53	1	no	—
1172	C₂²×C₄⋊C₄	—	53	1	no	—
1173	C₂²×C₄⋊C₄	—	53	1	no	—
1174	C₂²×C₄⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1175	C₂²×C₂²⋊C₄	—	53	1	no	—
1176	C₂²×C₂²⋊C₄	—	53	1	no	—
1177	C₂²×C₂²⋊C₄	—	53	1	no	—
1178	C₂²×C₂²⋊C₄	—	53	1	no	—
1179	C₂²×C₂²⋊C₄	—	53	1	no	—
1180	C₂²×C₂²⋊C₄	—	53	1	no	—
1181	C₂²×C₂²⋊C₄	—	53	1	no	—
1182	C₂²×C₂²⋊C₄	—	53	1	no	—
1183	C₂²×C₄²	—	53	1	no	—
1184	C₂²×C₄²	—	53	1	no	—
1185	C₂²×C₄²	—	53	1	no	—
1186	C₅₃	C₂×#3521	1	1	yes	characteristic, complemented, Sylow
1187	C₂⁵	—	53	1	no	—
1188	C₂⁵	—	53	1	no	—
1189	C₂×#41	—	53	8	no	—
1190	C₂×#41	—	53	8	no	—
1191	C₂×#41	—	106	8	no	—
1192	C₂×#41	—	106	8	no	—
1193	C₂²×Q₈	—	53	1	no	—
1194	C₂²×Q₈	—	53	1	no	—
1195	C₂²×Q₈	—	53	1	no	—
1196	C₂²×Q₈	—	53	1	no	—
1197	C₂²×Q₈	—	53	1	no	—
1198	C₂²×D₄	—	53	1	no	—
1199	C₂²×D₄	—	53	1	no	—
1200	C₂²×D₄	—	53	1	no	—
1201	C₂²×D₄	—	53	1	no	—
1202	C₂²×D₄	—	53	1	no	—
1203	C₂²×D₄	—	53	1	no	—
1204	C₂²×D₄	—	53	1	no	—
1205	C₂²×D₄	—	53	1	no	—
1206	C₂²×D₄	—	53	8	no	—
1207	C₂²×D₄	—	53	1	no	—
1208	C₂²×D₄	—	106	8	no	—
1209	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1210	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1211	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1212	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1213	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1214	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1215	C₂³×C₄	—	53	1	no	—
1216	C₂³×C₄	—	53	1	no	—
1217	C₂³×C₄	—	53	1	no	—
1218	C₂³×C₄	—	53	1	no	—
1219	C₂³×C₄	—	53	1	no	—
1220	C₂³×C₄	—	53	1	no	—
1221	C₂³×C₄	—	53	1	no	—
1222	C₂³×C₄	—	53	1	no	—
1223	C₂³×C₄	—	53	1	no	—
1224	C₂³×C₄	—	53	1	no	—
1225	C₂³×C₄	—	53	1	no	—
1226	C₂³×C₄	—	53	1	no	—
1227	C₂³×C₄	—	53	1	no	—
1228	C₂³×C₄	—	53	1	no	—
1229	C₂³×C₄	—	53	1	no	—
1230	C₂³×C₄	—	53	1	no	—
1231	C₂³×C₄	—	53	1	no	—
1232	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1233	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1234	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1235	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1236	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1237	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1238	C₄⋊Q₈	—	53	8	no	—
1239	C₄⋊Q₈	—	53	8	no	—
1240	#126	—	53	8	no	—
1241	#126	—	53	8	no	—
1242	#126	—	53	8	no	—
1243	#126	—	53	8	no	—
1244	#126	—	53	8	no	—
1245	#126	—	53	8	no	—
1246	#126	—	53	8	no	—
1247	#126	—	53	8	no	—
1248	#126	—	53	8	no	—
1249	#126	—	53	8	no	—
1250	#126	—	53	8	no	—
1251	#126	—	53	8	no	—
1252	#126	—	53	8	no	—
1253	#126	—	53	8	no	—
1254	#126	—	53	8	no	—
1255	#126	—	53	8	no	—
1256	#126	—	53	8	no	—
1257	#126	—	53	8	no	—
1258	#126	—	53	8	no	—
1259	#126	—	53	8	no	—
1260	#126	C₂²×D₅₃	1	8	yes	complemented
1261	#126	C₂²×D₅₃	1	8	yes	complemented
1262	#125	—	53	8	no	—
1263	#125	—	53	8	no	—
1264	#125	—	53	8	no	—
1265	#125	—	53	8	no	—
1266	#125	—	53	8	no	—
1267	#125	—	53	8	no	—
1268	#125	—	53	8	no	—
1269	#125	—	53	8	no	—
1270	#125	C₂²×D₅₃	1	8	yes	complemented
1271	#124	—	53	8	no	—
1272	#124	—	53	8	no	—
1273	#124	—	53	8	no	—
1274	#124	—	53	8	no	—
1275	#124	—	53	8	no	—
1276	#124	—	53	8	no	—
1277	#124	—	53	8	no	—
1278	#123	—	53	8	no	—
1279	#123	—	53	8	no	—
1280	#123	—	53	8	no	—
1281	#123	—	53	8	no	—
1282	#123	—	53	8	no	—
1283	#123	—	53	8	no	—
1284	#123	—	53	8	no	—
1285	#123	—	53	8	no	—
1286	#123	—	53	8	no	—
1287	#123	—	53	8	no	—
1288	#123	—	53	8	no	—
1289	#123	—	53	8	no	—
1290	#123	—	53	8	no	—
1291	#123	—	53	8	no	—
1292	#123	—	53	8	no	—
1293	#123	—	53	8	no	—
1294	#123	C₂²×D₅₃	1	8	yes	complemented
1295	#123	C₂²×D₅₃	1	8	yes	complemented
1296	C₂²⋊Q₈	—	53	8	no	—
1297	C₂²⋊Q₈	—	53	8	no	—
1298	C₂²⋊Q₈	—	53	8	no	—
1299	C₂²⋊Q₈	—	53	8	no	—
1300	C₂²⋊Q₈	—	53	8	no	—
1301	C₂²⋊Q₈	—	53	8	no	—
1302	C₂²⋊Q₈	—	53	8	no	—
1303	C₂²⋊Q₈	—	53	8	no	—
1304	C₂²⋊Q₈	—	53	8	no	—
1305	C₂²⋊Q₈	—	53	8	no	—
1306	C₂²⋊Q₈	—	53	8	no	—
1307	C₂²⋊Q₈	—	53	8	no	—
1308	C₂²⋊Q₈	—	53	8	no	—
1309	C₂²⋊Q₈	—	53	8	no	—
1310	C₂²⋊Q₈	—	53	8	no	—
1311	#121	—	53	8	no	—
1312	#121	—	53	8	no	—
1313	#121	—	53	8	no	—
1314	#121	—	53	8	no	—
1315	#121	—	53	8	no	—
1316	#121	—	53	8	no	—
1317	#121	—	53	8	no	—
1318	#121	C₂²×D₅₃	1	8	yes	—
1319	#121	C₂²×D₅₃	1	8	yes	—
1320	#121	C₂²×D₅₃	1	8	yes	complemented
1321	#121	C₂²×D₅₃	1	8	yes	complemented
1322	#120	—	53	8	no	—
1323	#120	—	53	8	no	—
1324	#120	—	53	8	no	—
1325	#120	—	53	8	no	—
1326	C₄×Q₈	—	53	8	no	—
1327	C₄×Q₈	—	53	8	no	—
1328	C₄×Q₈	—	53	8	no	—
1329	C₄×Q₈	—	53	8	no	—
1330	C₄×Q₈	—	53	8	no	—
1331	C₄×Q₈	—	53	8	no	—
1332	C₄×Q₈	—	53	8	no	—
1333	C₄×D₄	—	53	8	no	—
1334	C₄×D₄	—	53	8	no	—
1335	C₄×D₄	—	53	8	no	—
1336	C₄×D₄	—	53	8	no	—
1337	C₄×D₄	—	53	8	no	—
1338	C₄×D₄	—	53	8	no	—
1339	C₄×D₄	—	53	8	no	—
1340	C₄×D₄	—	53	8	no	—
1341	C₄×D₄	—	53	8	no	—
1342	C₄×D₄	—	53	8	no	—
1343	C₄×D₄	—	53	8	no	—
1344	C₄×D₄	—	53	8	no	—
1345	C₄×D₄	—	53	8	no	—
1346	C₄×D₄	—	53	8	no	—
1347	C₄×D₄	—	53	8	no	—
1348	C₄×D₄	—	53	8	no	—
1349	C₄×D₄	—	53	8	no	—
1350	C₄×D₄	—	53	8	no	—
1351	C₄×D₄	—	53	8	no	—
1352	C₄×D₄	—	53	8	no	—
1353	C₄×D₄	—	53	8	no	—
1354	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1355	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1356	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1357	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1358	#117	—	53	8	no	—
1359	#117	—	53	8	no	—
1360	#117	—	53	8	no	—
1361	#117	—	53	8	no	—
1362	#117	—	53	8	no	—
1363	#117	—	53	8	no	—
1364	#117	—	53	8	no	—
1365	#117	—	53	8	no	—
1366	#117	—	53	8	no	—
1367	#117	—	53	8	no	—
1368	#117	—	53	8	no	—
1369	#117	—	53	8	no	—
1370	#117	—	53	8	no	—
1371	#117	C₂²×D₅₃	1	8	yes	complemented
1372	C₂×C₄⋊C₄	—	53	1	no	—
1373	C₂×C₄⋊C₄	—	53	1	no	—
1374	C₂×C₄⋊C₄	—	53	1	no	—
1375	C₂×C₄⋊C₄	—	53	1	no	—
1376	C₂×C₄⋊C₄	—	53	1	no	—
1377	C₂×C₄⋊C₄	—	53	1	no	—
1378	C₂×C₄⋊C₄	—	53	1	no	—
1379	C₂×C₄⋊C₄	—	53	1	no	—
1380	C₂×C₄⋊C₄	—	53	1	no	—
1381	C₂×C₄⋊C₄	—	53	1	no	—
1382	C₂×C₄⋊C₄	—	53	1	no	—
1383	C₂×C₄⋊C₄	—	53	1	no	—
1384	C₂×C₄⋊C₄	—	53	8	no	—
1385	C₂×C₄⋊C₄	—	53	8	no	—
1386	C₂×C₄⋊C₄	—	53	1	no	—
1387	C₂×C₄⋊C₄	—	53	1	no	—
1388	C₂×C₄⋊C₄	—	53	1	no	—
1389	C₂×C₄⋊C₄	—	53	1	no	—
1390	C₂×C₄⋊C₄	—	53	1	no	—
1391	C₂×C₄⋊C₄	—	53	8	no	—
1392	C₂×C₄⋊C₄	—	53	1	no	—
1393	C₂×C₄⋊C₄	—	53	1	no	—
1394	C₂×C₄⋊C₄	—	53	1	no	—
1395	C₂×C₄⋊C₄	—	53	1	no	—
1396	C₂×C₄⋊C₄	—	53	1	no	—
1397	C₂×C₄⋊C₄	—	53	1	no	—
1398	C₂×C₄⋊C₄	—	53	1	no	—
1399	C₂×C₄⋊C₄	—	53	1	no	—
1400	C₂×C₄⋊C₄	—	53	1	no	—
1401	C₂×C₄⋊C₄	—	53	1	no	—
1402	C₂×C₄⋊C₄	—	53	1	no	—
1403	C₂×C₄⋊C₄	—	53	1	no	—
1404	C₂×C₄⋊C₄	—	53	1	no	—
1405	C₂×C₄⋊C₄	—	53	1	no	—
1406	C₂×C₄⋊C₄	—	53	1	no	—
1407	C₂×C₄⋊C₄	—	53	1	no	—
1408	C₂×C₄⋊C₄	—	53	1	no	—
1409	C₂×C₄⋊C₄	—	53	1	no	—
1410	C₂×C₄⋊C₄	—	53	1	no	—
1411	C₂×C₄⋊C₄	—	53	8	no	—
1412	C₂×C₄⋊C₄	—	53	8	no	—
1413	C₂×C₄⋊C₄	—	53	8	no	—
1414	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1415	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1416	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1417	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1418	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1419	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1420	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1421	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1422	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1423	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1424	C₂×C₄⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1425	C₂×C₂²⋊C₄	—	53	1	no	—
1426	C₂×C₂²⋊C₄	—	53	1	no	—
1427	C₂×C₂²⋊C₄	—	53	1	no	—
1428	C₂×C₂²⋊C₄	—	53	1	no	—
1429	C₂×C₂²⋊C₄	—	53	1	no	—
1430	C₂×C₂²⋊C₄	—	53	1	no	—
1431	C₂×C₂²⋊C₄	—	53	1	no	—
1432	C₂×C₂²⋊C₄	—	53	1	no	—
1433	C₂×C₂²⋊C₄	—	53	1	no	—
1434	C₂×C₂²⋊C₄	—	53	1	no	—
1435	C₂×C₂²⋊C₄	—	53	1	no	—
1436	C₂×C₂²⋊C₄	—	53	1	no	—
1437	C₂×C₂²⋊C₄	—	53	1	no	—
1438	C₂×C₂²⋊C₄	—	53	1	no	—
1439	C₂×C₂²⋊C₄	—	53	1	no	—
1440	C₂×C₂²⋊C₄	—	53	1	no	—
1441	C₂×C₂²⋊C₄	—	53	1	no	—
1442	C₂×C₂²⋊C₄	—	53	1	no	—
1443	C₂×C₂²⋊C₄	—	53	1	no	—
1444	C₂×C₂²⋊C₄	—	53	1	no	—
1445	C₂×C₂²⋊C₄	—	53	1	no	—
1446	C₂×C₂²⋊C₄	—	53	1	no	—
1447	C₂×C₂²⋊C₄	—	53	1	no	—
1448	C₂×C₂²⋊C₄	—	53	1	no	—
1449	C₂×C₂²⋊C₄	—	53	1	no	—
1450	C₂×C₂²⋊C₄	—	53	1	no	—
1451	C₂×C₂²⋊C₄	—	53	8	no	—
1452	C₂×C₂²⋊C₄	—	53	8	no	—
1453	C₂×C₂²⋊C₄	—	53	1	no	—
1454	C₂×C₂²⋊C₄	—	53	1	no	—
1455	C₂×C₂²⋊C₄	—	53	1	no	—
1456	C₂×C₂²⋊C₄	—	53	1	no	—
1457	C₂×C₂²⋊C₄	—	53	1	no	—
1458	C₂×C₂²⋊C₄	—	53	1	no	—
1459	C₂×C₂²⋊C₄	—	53	8	no	—
1460	C₂×C₂²⋊C₄	—	53	8	no	—
1461	C₂×C₂²⋊C₄	—	53	1	no	—
1462	C₂×C₂²⋊C₄	—	53	1	no	—
1463	C₂×C₂²⋊C₄	—	53	1	no	—
1464	C₂×C₂²⋊C₄	—	53	1	no	—
1465	C₂×C₂²⋊C₄	—	53	8	no	—
1466	C₂×C₂²⋊C₄	—	53	8	no	—
1467	C₂×C₂²⋊C₄	—	53	8	no	—
1468	C₂×C₂²⋊C₄	—	53	8	no	—
1469	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1470	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1471	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1472	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1473	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1474	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1475	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1476	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1477	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1478	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1479	C₂×C₄²	—	53	1	no	—
1480	C₂×C₄²	—	53	1	no	—
1481	C₂×C₄²	—	53	1	no	—
1482	C₂×C₄²	—	53	1	no	—
1483	C₂×C₄²	—	53	1	no	—
1484	C₂×C₄²	—	53	1	no	—
1485	C₂×C₄²	—	53	1	no	—
1486	C₂×C₄²	—	53	1	no	—
1487	C₂×C₄²	—	53	1	no	—
1488	C₂×C₄²	—	53	1	no	—
1489	C₂×C₄²	—	53	1	no	—
1490	C₂×C₄²	—	53	1	no	—
1491	C₂×C₄²	—	53	1	no	—
1492	C₂×C₄²	—	53	1	no	—
1493	C₂×C₄²	—	53	8	no	—
1494	C₂×C₄²	—	53	8	no	—
1495	C₂×C₄²	—	53	1	no	—
1496	C₂×C₄²	—	53	8	no	—
1497	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1498	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1499	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1500	C₂⁴	—	53	1	no	—
1501	C₂⁴	—	53	1	no	—
1502	C₂⁴	—	53	1	no	—
1503	C₂⁴	—	53	4	no	—
1504	C₂⁴	—	53	4	no	—
1505	C₂⁴	—	106	4	no	—
1506	C₂⁴	—	106	4	no	—
1507	C₂⁴	—	212	2	no	—
1508	C₂⁴	—	212	2	no	—
1509	C₂⁴	—	212	2	no	—
1510	C₂⁴	—	212	2	no	—
1511	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1512	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1513	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1514	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1515	#41	—	106	32	no	—
1516	#41	—	106	32	no	—
1517	C₂×Q₈	—	53	4	no	—
1518	C₂×Q₈	—	53	4	no	—
1519	C₂×Q₈	—	53	4	no	—
1520	C₂×Q₈	—	53	4	no	—
1521	C₂×Q₈	—	53	4	no	—
1522	C₂×Q₈	—	106	4	no	—
1523	C₂×Q₈	—	106	4	no	—
1524	C₂×Q₈	—	212	2	no	—
1525	C₂×Q₈	—	212	2	no	—
1526	C₂×Q₈	—	212	2	no	—
1527	C₂×D₄	—	2	4	no	—
1528	C₂×D₄	—	2	4	no	—
1529	C₂×D₄	—	2	4	no	—
1530	C₂×D₄	—	4	2	no	—
1531	C₂×D₄	—	4	2	no	—
1532	C₂×D₄	—	4	2	no	—
1533	C₂×D₄	—	53	8	no	—
1534	C₂×D₄	—	53	4	no	—
1535	C₂×D₄	—	53	4	no	—
1536	C₂×D₄	—	53	4	no	—
1537	C₂×D₄	—	53	4	no	—
1538	C₂×D₄	—	53	4	no	—
1539	C₂×D₄	—	53	4	no	—
1540	C₂×D₄	—	53	4	no	—
1541	C₂×D₄	—	53	4	no	—
1542	C₂×D₄	—	53	4	no	—
1543	C₂×D₄	—	106	4	no	—
1544	C₂×D₄	—	106	4	no	—
1545	C₂×D₄	—	106	32	no	—
1546	C₂×D₄	—	106	4	no	—
1547	C₂×D₄	—	106	4	no	—
1548	C₂×D₄	—	212	2	no	—
1549	C₂×D₄	—	212	2	no	—
1550	C₂×D₄	—	212	2	no	—
1551	C₂×D₄	—	212	2	no	—
1552	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1553	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1554	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1555	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1556	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1557	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1558	C₂²×C₄	—	4	2	no	—
1559	C₂²×C₄	—	4	2	no	—
1560	C₂²×C₄	—	4	2	no	—
1561	C₂²×C₄	—	4	2	no	—
1562	C₂²×C₄	—	4	2	no	—
1563	C₂²×C₄	—	4	2	no	—
1564	C₂²×C₄	—	53	1	no	—
1565	C₂²×C₄	—	53	4	no	—
1566	C₂²×C₄	—	53	4	no	—
1567	C₂²×C₄	—	53	4	no	—
1568	C₂²×C₄	—	53	4	no	—
1569	C₂²×C₄	—	53	1	no	—
1570	C₂²×C₄	—	53	1	no	—
1571	C₂²×C₄	—	53	1	no	—
1572	C₂²×C₄	—	53	1	no	—
1573	C₂²×C₄	—	53	1	no	—
1574	C₂²×C₄	—	53	1	no	—
1575	C₂²×C₄	—	53	1	no	—
1576	C₂²×C₄	—	53	1	no	—
1577	C₂²×C₄	—	53	1	no	—
1578	C₂²×C₄	—	53	1	no	—
1579	C₂²×C₄	—	53	1	no	—
1580	C₂²×C₄	—	53	1	no	—
1581	C₂²×C₄	—	53	4	no	—
1582	C₂²×C₄	—	53	4	no	—
1583	C₂²×C₄	—	53	4	no	—
1584	C₂²×C₄	—	53	4	no	—
1585	C₂²×C₄	—	53	4	no	—
1586	C₂²×C₄	—	53	4	no	—
1587	C₂²×C₄	—	53	4	no	—
1588	C₂²×C₄	—	53	4	no	—
1589	C₂²×C₄	—	53	4	no	—
1590	C₂²×C₄	—	53	4	no	—
1591	C₂²×C₄	—	53	4	no	—
1592	C₂²×C₄	—	53	4	no	—
1593	C₂²×C₄	—	53	4	no	—
1594	C₂²×C₄	—	106	4	no	—
1595	C₂²×C₄	—	106	4	no	—
1596	C₂²×C₄	—	106	4	no	—
1597	C₂²×C₄	—	106	4	no	—
1598	C₂²×C₄	—	106	4	no	—
1599	C₂²×C₄	—	106	4	no	—
1600	C₂²×C₄	—	106	4	no	—
1601	C₂²×C₄	—	212	2	no	—
1602	C₂²×C₄	—	212	2	no	—
1603	C₂²×C₄	—	212	2	no	—
1604	C₂²×C₄	—	212	2	no	—
1605	C₂²×C₄	—	212	2	no	—
1606	C₂²×C₄	—	212	2	no	—
1607	C₂²×C₄	—	212	2	no	—
1608	C₂²×C₄	—	212	2	no	—
1609	C₂²×C₄	—	212	2	no	—
1610	C₂²×C₄	—	212	2	no	—
1611	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1612	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1613	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1614	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1615	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1616	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1617	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1618	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1619	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1620	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1621	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1622	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1623	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1624	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1625	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1626	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1627	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1628	C₄⋊C₄	—	53	4	no	—
1629	C₄⋊C₄	—	53	4	no	—
1630	C₄⋊C₄	—	53	4	no	—
1631	C₄⋊C₄	—	53	4	no	—
1632	C₄⋊C₄	—	53	4	no	—
1633	C₄⋊C₄	—	53	4	no	—
1634	C₄⋊C₄	—	53	4	no	—
1635	C₄⋊C₄	—	53	4	no	—
1636	C₄⋊C₄	—	53	4	no	—
1637	C₄⋊C₄	—	53	4	no	—
1638	C₄⋊C₄	—	53	4	no	—
1639	C₄⋊C₄	—	53	4	no	—
1640	C₄⋊C₄	—	53	4	no	—
1641	C₄⋊C₄	—	53	4	no	—
1642	C₄⋊C₄	—	53	4	no	—
1643	C₄⋊C₄	—	53	4	no	—
1644	C₄⋊C₄	—	53	4	no	—
1645	C₄⋊C₄	—	53	4	no	—
1646	C₄⋊C₄	—	53	4	no	—
1647	C₄⋊C₄	—	53	4	no	—
1648	C₄⋊C₄	—	53	4	no	—
1649	C₄⋊C₄	—	53	4	no	—
1650	C₄⋊C₄	—	53	4	no	—
1651	C₄⋊C₄	—	53	4	no	—
1652	C₄⋊C₄	—	53	4	no	—
1653	C₄⋊C₄	—	53	4	no	—
1654	C₄⋊C₄	—	53	4	no	—
1655	C₄⋊C₄	—	53	4	no	—
1656	C₄⋊C₄	—	53	4	no	—
1657	C₄⋊C₄	—	53	4	no	—
1658	C₄⋊C₄	—	53	4	no	—
1659	C₄⋊C₄	—	53	4	no	—
1660	C₄⋊C₄	—	53	4	no	—
1661	C₄⋊C₄	—	53	4	no	—
1662	C₄⋊C₄	—	53	4	no	—
1663	C₄⋊C₄	—	53	4	no	—
1664	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1665	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1666	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1667	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1668	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1669	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1670	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1671	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1672	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1673	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1674	C₂²⋊C₄	—	53	4	no	—
1675	C₂²⋊C₄	—	53	4	no	—
1676	C₂²⋊C₄	—	53	4	no	—
1677	C₂²⋊C₄	—	53	4	no	—
1678	C₂²⋊C₄	—	53	4	no	—
1679	C₂²⋊C₄	—	53	4	no	—
1680	C₂²⋊C₄	—	53	4	no	—
1681	C₂²⋊C₄	—	53	4	no	—
1682	C₂²⋊C₄	—	53	4	no	—
1683	C₂²⋊C₄	—	53	4	no	—
1684	C₂²⋊C₄	—	53	4	no	—
1685	C₂²⋊C₄	—	53	4	no	—
1686	C₂²⋊C₄	—	53	4	no	—
1687	C₂²⋊C₄	—	53	4	no	—
1688	C₂²⋊C₄	—	53	4	no	—
1689	C₂²⋊C₄	—	53	4	no	—
1690	C₂²⋊C₄	—	53	4	no	—
1691	C₂²⋊C₄	—	53	4	no	—
1692	C₂²⋊C₄	—	53	4	no	—
1693	C₂²⋊C₄	—	53	4	no	—
1694	C₂²⋊C₄	—	53	4	no	—
1695	C₂²⋊C₄	—	53	4	no	—
1696	C₂²⋊C₄	—	53	4	no	—
1697	C₂²⋊C₄	—	53	4	no	—
1698	C₂²⋊C₄	—	53	4	no	—
1699	C₂²⋊C₄	—	53	4	no	—
1700	C₂²⋊C₄	—	53	4	no	—
1701	C₂²⋊C₄	—	53	4	no	—
1702	C₂²⋊C₄	—	53	4	no	—
1703	C₂²⋊C₄	—	53	4	no	—
1704	C₂²⋊C₄	—	53	4	no	—
1705	C₂²⋊C₄	—	53	4	no	—
1706	C₂²⋊C₄	—	53	4	no	—
1707	C₂²⋊C₄	—	53	4	no	—
1708	C₂²⋊C₄	—	53	4	no	—
1709	C₂²⋊C₄	—	53	4	no	—
1710	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1711	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1712	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1713	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1714	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1715	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1716	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1717	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1718	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1719	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1720	C₄²	—	53	4	no	—
1721	C₄²	—	53	4	no	—
1722	C₄²	—	53	4	no	—
1723	C₄²	—	53	4	no	—
1724	C₄²	—	53	4	no	—
1725	C₄²	—	53	4	no	—
1726	C₄²	—	53	4	no	—
1727	C₄²	—	53	4	no	—
1728	C₄²	—	53	4	no	—
1729	C₄²	—	53	4	no	—
1730	C₄²	—	53	4	no	—
1731	C₄²	—	53	4	no	—
1732	C₄²	—	53	4	no	—
1733	C₄²	—	53	4	no	—
1734	C₄²	—	53	4	no	—
1735	C₄²	C₂³×D₅₃	1	4	yes	—
1736	C₄²	C₂³×D₅₃	1	4	yes	—
1737	C₄²	C₂³×D₅₃	1	4	yes	—
1738	C₂³	—	2	2	no	—
1739	C₂³	—	2	2	no	—
1740	C₂³	—	2	2	no	—
1741	C₂³	—	2	2	no	—
1742	C₂³	—	2	2	no	—
1743	C₂³	—	2	2	no	—
1744	C₂³	—	2	2	no	—
1745	C₂³	—	2	2	no	—
1746	C₂³	—	2	2	no	—
1747	C₂³	—	2	2	no	—
1748	C₂³	—	2	2	no	—
1749	C₂³	—	53	4	no	—
1750	C₂³	—	53	2	no	—
1751	C₂³	—	53	2	no	—
1752	C₂³	—	53	2	no	—
1753	C₂³	—	106	8	no	—
1754	C₂³	—	106	2	no	—
1755	C₂³	—	106	2	no	—
1756	C₂³	—	106	8	no	—
1757	C₂³	—	106	2	no	—
1758	C₂³	—	106	2	no	—
1759	C₂³	—	106	2	no	—
1760	C₂³	—	106	2	no	—
1761	C₂³	—	106	2	no	—
1762	C₂³	—	106	2	no	—
1763	C₂³	—	424	8	no	—
1764	C₂³	—	424	8	no	—
1765	C₂³	—	212	4	no	—
1766	C₂³	—	212	4	no	—
1767	C₂³	—	212	4	no	—
1768	C₂³	—	212	4	no	—
1769	C₂³	#41×D₅₃	1	4	yes	—
1770	C₂³	C₂⁴×D₅₃	1	2	yes	—
1771	C₂³	C₂⁴×D₅₃	1	2	yes	—
1772	C₂³	C₂⁴×D₅₃	1	2	yes	—
1773	C₂³	C₂⁴×D₅₃	1	2	yes	—
1774	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1775	Q₈	—	106	8	no	—
1776	Q₈	—	106	8	no	—
1777	Q₈	—	212	4	no	—
1778	Q₈	—	212	4	no	—
1779	Q₈	—	212	4	no	—
1780	D₄	—	2	8	no	—
1781	D₄	—	2	8	no	—
1782	D₄	—	2	8	no	—
1783	D₄	—	4	4	no	—
1784	D₄	—	4	4	no	—
1785	D₄	—	4	4	no	—
1786	D₄	—	53	16	no	—
1787	D₄	—	106	8	no	—
1788	D₄	—	106	8	no	—
1789	D₄	—	106	8	no	—
1790	D₄	—	106	8	no	—
1791	D₄	—	212	4	no	—
1792	D₄	—	212	4	no	—
1793	D₄	—	212	4	no	—
1794	D₄	—	212	4	no	—
1795	C₂×C₄	—	2	2	no	—
1796	C₂×C₄	—	2	2	no	—
1797	C₂×C₄	—	2	2	no	—
1798	C₂×C₄	—	2	2	no	—
1799	C₂×C₄	—	2	2	no	—
1800	C₂×C₄	—	2	2	no	—
1801	C₂×C₄	—	2	2	no	—
1802	C₂×C₄	—	2	2	no	—
1803	C₂×C₄	—	2	2	no	—
1804	C₂×C₄	—	2	2	no	—
1805	C₂×C₄	—	2	2	no	—
1806	C₂×C₄	—	4	4	no	—
1807	C₂×C₄	—	4	4	no	—
1808	C₂×C₄	—	4	4	no	—
1809	C₂×C₄	—	4	4	no	—
1810	C₂×C₄	—	4	4	no	—
1811	C₂×C₄	—	4	4	no	—
1812	C₂×C₄	—	53	4	no	—
1813	C₂×C₄	—	53	2	no	—
1814	C₂×C₄	—	53	2	no	—
1815	C₂×C₄	—	53	2	no	—
1816	C₂×C₄	—	53	2	no	—
1817	C₂×C₄	—	53	2	no	—
1818	C₂×C₄	—	53	2	no	—
1819	C₂×C₄	—	53	2	no	—
1820	C₂×C₄	—	53	2	no	—
1821	C₂×C₄	—	53	2	no	—
1822	C₂×C₄	—	53	2	no	—
1823	C₂×C₄	—	53	2	no	—
1824	C₂×C₄	—	53	2	no	—
1825	C₂×C₄	—	53	2	no	—
1826	C₂×C₄	—	106	8	no	—
1827	C₂×C₄	—	106	8	no	—
1828	C₂×C₄	—	106	8	no	—
1829	C₂×C₄	—	106	8	no	—
1830	C₂×C₄	—	106	8	no	—
1831	C₂×C₄	—	106	2	no	—
1832	C₂×C₄	—	106	2	no	—
1833	C₂×C₄	—	106	2	no	—
1834	C₂×C₄	—	106	2	no	—
1835	C₂×C₄	—	106	8	no	—
1836	C₂×C₄	—	106	8	no	—
1837	C₂×C₄	—	106	2	no	—
1838	C₂×C₄	—	106	2	no	—
1839	C₂×C₄	—	106	2	no	—
1840	C₂×C₄	—	106	2	no	—
1841	C₂×C₄	—	106	2	no	—
1842	C₂×C₄	—	106	2	no	—
1843	C₂×C₄	—	106	2	no	—
1844	C₂×C₄	—	106	2	no	—
1845	C₂×C₄	—	212	4	no	—
1846	C₂×C₄	—	212	4	no	—
1847	C₂×C₄	—	212	4	no	—
1848	C₂×C₄	—	212	4	no	—
1849	C₂×C₄	—	212	4	no	—
1850	C₂×C₄	—	212	4	no	—
1851	C₂×C₄	—	212	4	no	—
1852	C₂×C₄	—	212	4	no	—
1853	C₂×C₄	—	212	4	no	—
1854	C₂×C₄	—	212	4	no	—
1855	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1856	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1857	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1858	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1859	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1860	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1861	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1862	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1863	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1864	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1865	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1866	C₂²	—	2	8	no	—
1867	C₂²	—	2	2	no	—
1868	C₂²	—	2	2	no	—
1869	C₂²	—	2	2	no	—
1870	C₂²	—	2	2	no	—
1871	C₂²	—	2	2	no	—
1872	C₂²	—	2	2	no	—
1873	C₂²	—	2	2	no	—
1874	C₂²	—	2	2	no	—
1875	C₂²	—	2	2	no	—
1876	C₂²	—	2	2	no	—
1877	C₂²	—	2	2	no	—
1878	C₂²	—	4	4	no	—
1879	C₂²	—	4	4	no	—
1880	C₂²	—	4	4	no	—
1881	C₂²	—	53	4	no	—
1882	C₂²	—	106	8	no	—
1883	C₂²	—	106	2	no	—
1884	C₂²	—	106	2	no	—
1885	C₂²	—	106	2	no	—
1886	C₂²	—	106	2	no	—
1887	C₂²	—	106	2	no	—
1888	C₂²	—	106	2	no	—
1889	C₂²	—	106	2	no	—
1890	C₂²	—	106	2	no	—
1891	C₂²	—	424	8	no	—
1892	C₂²	—	424	8	no	—
1893	C₂²	—	212	4	no	—
1894	C₂²	—	212	4	no	—
1895	C₂²	C₂×#41×D₅₃	1	4	yes	—
1896	C₂²	C₂×#41×D₅₃	1	2	yes	—
1897	C₂²	#16811458	1	2	yes	—
1898	C₂²	#16811459	1	2	yes	—
1899	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1900	C₄	—	2	2	no	—
1901	C₄	—	2	2	no	—
1902	C₄	—	2	2	no	—
1903	C₄	—	2	2	no	—
1904	C₄	—	2	2	no	—
1905	C₄	—	2	2	no	—
1906	C₄	—	2	2	no	—
1907	C₄	—	2	2	no	—
1908	C₄	—	2	2	no	—
1909	C₄	—	2	2	no	—
1910	C₄	—	2	2	no	—
1911	C₄	—	53	4	no	—
1912	C₄	—	106	2	no	—
1913	C₄	—	106	2	no	—
1914	C₄	—	106	2	no	—
1915	C₄	—	106	2	no	—
1916	C₄	—	106	2	no	—
1917	C₄	—	106	2	no	—
1918	C₄	—	106	2	no	—
1919	C₄	—	106	2	no	—
1920	C₄	—	106	2	no	—
1921	C₄	—	106	2	no	—
1922	C₄	—	106	2	no	—
1923	C₄	—	106	2	no	—
1924	C₂	—	2	4	no	—
1925	C₂	—	4	2	no	—
1926	C₂	—	4	2	no	—
1927	C₂	—	4	2	no	—
1928	C₂	—	106	4	no	—
1929	C₂	—	212	2	no	—
1930	C₂	—	212	2	no	—
1931	C₂	#20288774	1	4	yes	direct product factor
1932	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
1933	C₂	C₂×#16811458	1	1	yes	characteristic
1934	C₂	C₂×#16811459	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#553	C₂
socle	C₂³×C₅₃	C₂⁵
hypercenter	C₂×#553	D₅₃
hypocenter	C₅₃	C₂×#3521
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #20288774	C₂	direct (N × H)
2. C₂×#16811340	C₂	semidirect
3. C₂×#16811340	C₂	semidirect
4. C₂×#16811328	C₂	semidirect
5. C₂×#16811318	C₂	semidirect
6. C₂×#16811316	C₂	semidirect
7. C₂×#16811313	C₂	semidirect
8. C₂×#16811306	C₂	semidirect
9. C₂×#16811305	C₂	semidirect
10. C₂×#16811302	C₂	semidirect
11. C₂×#16811302	C₂	semidirect
12. C₂×#16811302	C₂	semidirect
13. C₂×#16811296	C₂	semidirect
14. C₂×#16811273	C₂	semidirect
15. C₂×#16811262	C₂	semidirect
16. C₂×#16811262	C₂	semidirect
17. C₂×#16811241	C₂	semidirect
18. C₂×#16811232	C₂	semidirect
19. C₂×#16811218	C₂	semidirect
20. C₂×#16811214	C₂	semidirect
21. C₂×#16811210	C₂	semidirect
22. C₂×#16811205	C₂	semidirect
23. C₂×#16811154	C₂	semidirect
24. C₂×#16811153	C₂	semidirect
25. C₂×#16811151	C₂	semidirect
26. C₂×#16811150	C₂	semidirect
27. C₂²×#13133212	C₂	semidirect
28. C₂×#126×D₅₃	C₂	semidirect
29. C₂×#16811102	C₂	semidirect
30. C₂×#16811095	C₂	semidirect
31. C₂×C₄×#11719947	C₂	semidirect
32. C₂×C₅₃×#553	C₂	semidirect
36. #16811340	C₂²	semidirect
37. #16811340	C₂²	semidirect
38. #16811328	C₂²	semidirect
39. #16811318	C₂²	semidirect
40. #16811316	C₂²	semidirect
41. #16811313	C₂²	semidirect
42. #16811306	C₂²	semidirect
43. #16811305	C₂²	semidirect
44. #16811302	C₂²	semidirect
45. #16811302	C₂²	semidirect
46. #16811302	C₂²	semidirect
47. #16811296	C₂²	semidirect
48. #16811273	C₂²	semidirect
49. #16811262	C₂²	semidirect
50. #16811262	C₂²	semidirect
51. #16811241	C₂²	semidirect
52. #16811232	C₂²	semidirect
53. #16811218	C₂²	semidirect
54. #16811214	C₂²	semidirect
55. #16811210	C₂²	semidirect
56. #16811205	C₂²	semidirect
57. C₂×#13133216	C₂²	semidirect
58. C₂×#13133216	C₂²	semidirect
59. #16811154	C₂²	semidirect
60. #16811153	C₂²	semidirect
61. #16811151	C₂²	semidirect
62. #16811150	C₂²	semidirect
70. C₂×#13133212	C₂²	semidirect
71. C₂×#13133212	C₂²	semidirect
72. C₂×#13133212	C₂²	semidirect
73. C₂×#13133212	C₂²	semidirect
74. C₂×#13133212	C₂²	semidirect
75. C₂×#13133212	C₂²	semidirect
78. C₂×#13133210	C₂²	semidirect
79. C₂×#13133210	C₂²	semidirect
80. C₂×#13133210	C₂²	semidirect
81. C₂×#13133210	C₂²	semidirect
82. C₂×#13133210	C₂²	semidirect
83. C₂×#13133210	C₂²	semidirect
84. #126×D₅₃	C₂²	semidirect
85. C₂×#13133209	C₂²	semidirect
86. C₂×#13133208	C₂²	semidirect
87. C₂×#13133207	C₂²	semidirect
88. C₂×#13133207	C₂²	semidirect
89. C₂×#13133207	C₂²	semidirect
90. C₂×#13133207	C₂²	semidirect
91. C₂×#13133207	C₂²	semidirect
92. C₂×#13133207	C₂²	semidirect
93. C₂×#13133204	C₂²	semidirect
99. C₂×#13133203	C₂²	semidirect
103. C₂×#13133201	C₂²	semidirect
106. C₂×#13133199	C₂²	semidirect
107. C₂×#13133199	C₂²	semidirect
108. C₂×#13133199	C₂²	semidirect
109. C₂×#13133199	C₂²	semidirect
112. C₂×#13133198	C₂²	semidirect
113. C₂×#13133198	C₂²	semidirect
114. C₂×#13133198	C₂²	semidirect
115. C₂×#13133198	C₂²	semidirect
116. C₂×#13133197	C₂²	semidirect
117. C₂×#13133196	C₂²	semidirect
118. C₂×#13133196	C₂²	semidirect
119. C₂×#13133196	C₂²	semidirect
120. C₂×#13133196	C₂²	semidirect
123. C₂×#13133195	C₂²	semidirect
124. C₂×#13133195	C₂²	semidirect
125. C₂×#13133195	C₂²	semidirect
126. C₂×#13133195	C₂²	semidirect
127. C₂×#13133194	C₂²	semidirect
128. C₂×#13133194	C₂²	semidirect
129. C₂×#13133194	C₂²	semidirect
130. C₂×#13133194	C₂²	semidirect
136. C₂×#13133189	C₂²	semidirect
137. C₂×#13133188	C₂²	semidirect
142. #16811102	C₂²	semidirect
143. #16811095	C₂²	semidirect
144. C₄×#11719947	C₂²	semidirect
145. C₂×C₄×Dic₁₀₆	C₂²	semidirect
146. C₂×C₄×Dic₁₀₆	C₂²	semidirect
147. C₂×C₄×Dic₁₀₆	C₂²	semidirect
148. C₂×#13133182	C₂²	semidirect
149. C₂×#13133182	C₂²	semidirect
150. C₂×#13133182	C₂²	semidirect
151. C₂×#13133182	C₂²	semidirect
154. C₂×D₄×Dic₅₃	C₂²	semidirect
155. C₂×D₄×Dic₅₃	C₂²	semidirect
156. C₂×D₄×Dic₅₃	C₂²	semidirect
157. C₂×D₄×Dic₅₃	C₂²	semidirect
163. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
164. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
165. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
166. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
171. C₂×#13133177	C₂²	semidirect
172. C₂×#13133177	C₂²	semidirect
173. C₂×#13133176	C₂²	semidirect
175. C₂×#13133175	C₂²	semidirect
177. C₂×#13133174	C₂²	semidirect
178. C₂×#13133174	C₂²	semidirect
179. C₂×#13133174	C₂²	semidirect
180. C₂×#13133173	C₂²	semidirect
181. C₂×#13133173	C₂²	semidirect
182. C₂×#13133173	C₂²	semidirect
183. C₂×#13133173	C₂²	semidirect
184. C₂×#13133173	C₂²	semidirect
185. C₂×#13133173	C₂²	semidirect
186. C₂²×C₄⋊Dic₅₃	C₂²	semidirect
187. C₂²×#11719919	C₂²	semidirect
188. C₂²×#11719919	C₂²	semidirect
189. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
190. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
191. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
200. C₂²×C₄×Dic₅₃	C₂²	semidirect
201. C₂²×C₄×Dic₅₃	C₂²	semidirect
202. C₂×C₄²×D₅₃	C₂²	semidirect
203. C₅₃×#553	C₂²	semidirect
204. C₂×#126×C₅₃	C₂²	semidirect
205. C₂×#126×C₅₃	C₂²	semidirect
206. C₂×#125×C₅₃	C₂²	semidirect
207. C₂×#123×C₅₃	C₂²	semidirect
208. C₂×#123×C₅₃	C₂²	semidirect
211. C₂×#121×C₅₃	C₂²	semidirect
212. C₂×#121×C₅₃	C₂²	semidirect
214. C₂×C₄×D₄×C₅₃	C₂²	semidirect
215. C₂×C₄×D₄×C₅₃	C₂²	semidirect
216. C₂×C₄×D₄×C₅₃	C₂²	semidirect
217. C₂×#117×C₅₃	C₂²	semidirect
218. C₂²×C₄⋊C₄×C₅₃	C₂²	semidirect
258. #13133216	C₂³	semidirect
259. #13133216	C₂³	semidirect
267. #13133212	C₂³	semidirect
268. #13133212	C₂³	semidirect
269. #13133212	C₂³	semidirect
270. #13133212	C₂³	semidirect
271. #13133212	C₂³	semidirect
274. #13133210	C₂³	semidirect
275. #13133210	C₂³	semidirect
276. #13133210	C₂³	semidirect
277. #13133210	C₂³	semidirect
278. #13133210	C₂³	semidirect
279. #13133210	C₂³	semidirect
280. #13133209	C₂³	semidirect
281. #13133208	C₂³	semidirect
282. #13133207	C₂³	semidirect
283. #13133207	C₂³	semidirect
284. #13133207	C₂³	semidirect
285. #13133207	C₂³	semidirect
286. #13133207	C₂³	semidirect
287. #13133207	C₂³	semidirect
288. #13133204	C₂³	semidirect
294. #13133203	C₂³	semidirect
298. #13133201	C₂³	semidirect
301. #13133199	C₂³	semidirect
302. #13133199	C₂³	semidirect
303. #13133199	C₂³	semidirect
304. #13133199	C₂³	semidirect
307. #13133198	C₂³	semidirect
308. #13133198	C₂³	semidirect
309. #13133198	C₂³	semidirect
310. #13133198	C₂³	semidirect
311. #13133197	C₂³	semidirect
312. #13133196	C₂³	semidirect
313. #13133196	C₂³	semidirect
314. #13133196	C₂³	semidirect
315. #13133196	C₂³	semidirect
318. #13133195	C₂³	semidirect
319. #13133195	C₂³	semidirect
320. #13133195	C₂³	semidirect
321. #13133195	C₂³	semidirect
322. #13133194	C₂³	semidirect
323. #13133194	C₂³	semidirect
324. #13133194	C₂³	semidirect
325. #13133194	C₂³	semidirect
331. #13133189	C₂³	semidirect
332. #13133188	C₂³	semidirect
337. C₄×Dic₁₀₆	C₂³	semidirect
338. C₄×Dic₁₀₆	C₂³	semidirect
339. C₄×Dic₁₀₆	C₂³	semidirect
340. #13133182	C₂³	semidirect
341. #13133182	C₂³	semidirect
342. #13133182	C₂³	semidirect
343. #13133182	C₂³	semidirect
346. D₄×Dic₅₃	C₂³	semidirect
347. D₄×Dic₅₃	C₂³	semidirect
348. D₄×Dic₅₃	C₂³	semidirect
349. D₄×Dic₅₃	C₂³	semidirect
355. C₄×C₂²⋊D₅₃	C₂³	semidirect
356. C₄×C₂²⋊D₅₃	C₂³	semidirect
357. C₄×C₂²⋊D₅₃	C₂³	semidirect
358. C₄×C₂²⋊D₅₃	C₂³	semidirect
363. #13133177	C₂³	semidirect
364. #13133177	C₂³	semidirect
365. #13133176	C₂³	semidirect
367. #13133175	C₂³	semidirect
369. #13133174	C₂³	semidirect
370. #13133174	C₂³	semidirect
371. #13133174	C₂³	semidirect
372. #13133173	C₂³	semidirect
373. #13133173	C₂³	semidirect
374. #13133173	C₂³	semidirect
375. #13133173	C₂³	semidirect
376. #13133173	C₂³	semidirect
377. #13133173	C₂³	semidirect
388. C₂×C₄⋊Dic₅₃	C₂³	semidirect
415. C₂×#11719919	C₂³	semidirect
416. C₂×#11719919	C₂³	semidirect
417. C₄⋊C₄×D₅₃	C₂³	semidirect
418. C₄⋊C₄×D₅₃	C₂³	semidirect
419. C₄⋊C₄×D₅₃	C₂³	semidirect
479. C₂×C₄×Dic₅₃	C₂³	semidirect
480. C₂×C₄×Dic₅₃	C₂³	semidirect
481. C₄²×D₅₃	C₂³	semidirect
494. #126×C₅₃	C₂³	semidirect
495. #126×C₅₃	C₂³	semidirect
496. #125×C₅₃	C₂³	semidirect
497. #123×C₅₃	C₂³	semidirect
498. #123×C₅₃	C₂³	semidirect
501. #121×C₅₃	C₂³	semidirect
502. #121×C₅₃	C₂³	semidirect
504. C₄×D₄×C₅₃	C₂³	semidirect
505. C₄×D₄×C₅₃	C₂³	semidirect
506. C₄×D₄×C₅₃	C₂³	semidirect
507. #117×C₅₃	C₂³	semidirect
518. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
963. C₂×#553	D₅₃	semidirect
993. C₂×C₅₃	#3521	semidirect
1008. #553	C₂×D₅₃	semidirect
1053. C₂×#126	C₂×D₅₃	semidirect
1054. C₂×#126	C₂×D₅₃	semidirect
1063. C₂×#125	C₂×D₅₃	semidirect
1087. C₂×#123	C₂×D₅₃	semidirect
1088. C₂×#123	C₂×D₅₃	semidirect
1113. C₂×#121	C₂×D₅₃	semidirect
1114. C₂×#121	C₂×D₅₃	semidirect
1151. C₂×C₄×D₄	C₂×D₅₃	semidirect
1152. C₂×C₄×D₄	C₂×D₅₃	semidirect
1153. C₂×C₄×D₄	C₂×D₅₃	semidirect
1167. C₂×#117	C₂×D₅₃	semidirect
1174. C₂²×C₄⋊C₄	C₂×D₅₃	semidirect
1186. C₅₃	C₂×#3521	semidirect
1260. #126	C₂²×D₅₃	semidirect
1261. #126	C₂²×D₅₃	semidirect
1270. #125	C₂²×D₅₃	semidirect
1294. #123	C₂²×D₅₃	semidirect
1295. #123	C₂²×D₅₃	semidirect
1320. #121	C₂²×D₅₃	semidirect
1321. #121	C₂²×D₅₃	semidirect
1355. C₄×D₄	C₂²×D₅₃	semidirect
1356. C₄×D₄	C₂²×D₅₃	semidirect
1357. C₄×D₄	C₂²×D₅₃	semidirect
1371. #117	C₂²×D₅₃	semidirect
1424. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1931. C₂	#20288774	direct (N × H)

Maximal subgroups

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

subgroup	index
#20288774	2
C₂×#16811340	2
C₂×#16811328	2
C₂×#16811318	2
C₂×#16811316	2
C₂×#16811313	2
C₂×#16811306	2
C₂×#16811305	2
C₂×#16811302	2
C₂×#16811296	2
C₂×#16811273	2
C₂×#16811262	2
C₂×#16811241	2
C₂×#16811232	2
C₂×#16811218	2
C₂×#16811214	2
C₂×#16811210	2
C₂×#16811205	2
C₂×#16811154	2
C₂×#16811153	2
C₂×#16811151	2
C₂×#16811150	2
C₂²×#13133212	2
C₂×#126×D₅₃	2
C₂×#16811102	2
C₂×#16811095	2
C₂×C₄×#11719947	2
C₂×C₅₃×#553	2
C₂×#3521	53

Subgroups — C2×#20288774 #28292213

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20288774 #28292213