Subgroups — C₂×#20288930 #28291311

Order 13568.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288930	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811370	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811368	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811368	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811367	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811332	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811327	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811282	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811279	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811272	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811271	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811267	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811263	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811263	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811260	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811260	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811249	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811248	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811241	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811237	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811217	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811215	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811208	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811206	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811202	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811201	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811200	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16811200	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811129	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂²×#13133194	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×#13133189	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
39	C₂³×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
40	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
41	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
42	C₂⁴×Dic₅₃	C₂²	1	1	yes	characteristic
43	#16811370	C₂²	1	16	yes	complemented
44	#16811368	C₂²	1	16	yes	complemented
45	#16811368	C₂²	1	16	yes	complemented
46	#16811367	C₂²	1	16	yes	complemented
47	#16811332	C₂²	1	16	yes	complemented
48	#16811327	C₂²	1	16	yes	complemented
49	#16811282	C₂²	1	16	yes	complemented
50	#16811279	C₂²	1	16	yes	complemented
51	#16811272	C₂²	1	16	yes	complemented
52	#16811271	C₂²	1	16	yes	complemented
53	#16811267	C₂²	1	16	yes	complemented
54	#16811263	C₂²	1	16	yes	complemented
55	#16811263	C₂²	1	16	yes	complemented
56	#16811260	C₂²	1	16	yes	complemented
57	#16811260	C₂²	1	16	yes	complemented
58	#16811249	C₂²	1	16	yes	complemented
59	#16811248	C₂²	1	16	yes	complemented
60	#16811241	C₂²	1	16	yes	complemented
61	#16811237	C₂²	1	16	yes	complemented
62	#16811217	C₂²	1	16	yes	complemented
63	#16811215	C₂²	1	16	yes	complemented
64	#16811208	C₂²	1	16	yes	complemented
65	#16811206	C₂²	1	16	yes	complemented
66	#16811202	C₂²	1	16	yes	complemented
67	#16811201	C₂²	1	16	yes	complemented
68	#16811200	C₂²	1	16	yes	complemented
69	#16811200	C₂²	1	16	yes	complemented
70	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
71	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
73	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
74	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13133209	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
89	#16811129	C₂²	1	16	yes	complemented
90	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
101	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13133196	C₂²	1	1	yes	characteristic
109	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
112	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
113	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
117	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
118	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
119	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
120	C₂×#13133194	C₂²	1	1	yes	characteristic
121	C₂×#13133194	C₂²	1	1	yes	characteristic
122	C₂×#13133194	C₂²	1	1	yes	characteristic
123	C₂×#13133194	C₂²	1	1	yes	characteristic
124	C₂×#13133194	C₂²	1	1	yes	characteristic
125	C₂×#13133194	C₂²	1	1	yes	characteristic
126	C₂×#13133194	C₂²	1	1	yes	characteristic
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×#13133194	C₂²	1	1	yes	characteristic, complemented
132	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
133	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
134	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
135	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
136	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
137	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
138	C₂×#13133194	C₂²	1	16	yes	complemented
139	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
140	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
141	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
142	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
144	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
145	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
146	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
147	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
148	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
149	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
150	C₂×#13133189	C₂²	1	1	yes	characteristic
151	C₂×#13133189	C₂²	1	1	yes	characteristic
152	C₂×#13133189	C₂²	1	1	yes	characteristic
153	C₂×#13133189	C₂²	1	1	yes	characteristic
154	C₂×#13133189	C₂²	1	1	yes	characteristic
155	C₂×#13133189	C₂²	1	1	yes	characteristic
156	C₂×#13133189	C₂²	1	1	yes	characteristic
157	C₂×#13133189	C₂²	1	1	yes	characteristic
158	C₂×#13133189	C₂²	1	1	yes	characteristic
159	C₂×#13133189	C₂²	1	16	yes	complemented
160	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
161	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
162	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
163	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
164	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
165	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
166	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
167	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
168	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
169	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
171	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
172	C₂×#13133187	C₂²	1	1	yes	characteristic
173	C₂×#13133186	C₂²	1	1	yes	characteristic
174	C₂×#13133186	C₂²	1	1	yes	characteristic
175	C₂×#13133185	C₂²	1	1	yes	characteristic
176	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
178	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic
179	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic
180	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
181	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
183	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
184	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
185	C₂×#13133177	C₂²	1	1	yes	characteristic
186	C₂×#13133177	C₂²	1	1	yes	characteristic
187	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
188	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
189	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
190	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
191	C₂²×C₄⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
192	C₂²×#11719919	C₂²	1	1	yes	characteristic
193	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
194	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
195	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
197	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic
198	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic
199	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic
200	C₂²×#11719921	C₂²	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
203	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
204	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic
205	C₅₃×#546	C₂²	1	16	yes	complemented
206	C₂×#124×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×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
210	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
211	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
212	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
214	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
215	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
216	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
217	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
218	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
219	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
220	C₂×#11719945	—	4	4	no	—
221	C₂×#11719945	—	4	4	no	—
222	C₂×#11719945	C₂³	1	8	yes	complemented
223	C₂×#11719945	C₂³	1	8	yes	complemented
224	C₂×#11719947	—	4	4	no	—
225	C₂×#11719947	—	4	4	no	—
226	C₂×#11719947	—	4	4	no	—
227	C₂×#11719947	—	4	4	no	—
228	C₂×#11719947	C₂³	1	8	yes	complemented
229	C₂×#11719947	C₂³	1	8	yes	complemented
230	C₂×#11719947	C₂³	1	8	yes	complemented
231	C₂×#11719947	C₂³	1	8	yes	complemented
232	C₂²×Dic₁₀₆	—	4	4	no	—
233	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
234	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
235	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
236	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
237	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
238	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
239	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
240	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
241	C₂²×Dic₁₀₆	C₂³	1	8	yes	complemented
242	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
243	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
244	C₂²×C₂²⋊D₅₃	—	4	4	no	—
245	C₂²×C₂²⋊D₅₃	—	4	4	no	—
246	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
248	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
253	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
254	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
255	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
256	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
257	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
258	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
259	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
260	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
261	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
262	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	—
263	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	—
264	C₂³×Dic₅₃	—	4	4	no	—
265	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
266	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
267	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
268	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
269	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
270	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
271	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
272	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
273	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
274	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
275	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
276	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
277	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
278	C₂³×Dic₅₃	C₂³	1	8	yes	—
279	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
280	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
281	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
282	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
283	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
284	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
285	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
286	#13133216	C₂³	1	8	yes	complemented
287	#13133215	C₂³	1	8	yes	complemented
288	#13133212	C₂³	1	8	yes	complemented
289	#13133211	C₂³	1	8	yes	complemented
290	#13133210	C₂³	1	8	yes	complemented
291	#13133210	C₂³	1	8	yes	complemented
292	#13133209	C₂³	1	8	yes	complemented
293	#13133208	C₂³	1	8	yes	complemented
294	#13133207	C₂³	1	8	yes	complemented
295	#13133207	C₂³	1	8	yes	complemented
296	#13133205	C₂³	1	8	yes	complemented
297	#13133204	C₂³	1	8	yes	complemented
298	#13133204	C₂³	1	8	yes	complemented
299	#13133203	C₂³	1	8	yes	complemented
300	#13133203	C₂³	1	8	yes	complemented
301	#13133203	C₂³	1	8	yes	complemented
302	#13133203	C₂³	1	8	yes	complemented
303	#13133203	C₂³	1	8	yes	complemented
304	#13133203	C₂³	1	8	yes	complemented
305	#13133202	C₂³	1	8	yes	complemented
306	#13133201	C₂³	1	8	yes	complemented
307	#13133201	C₂³	1	8	yes	complemented
308	#13133201	C₂³	1	8	yes	complemented
309	#13133200	C₂³	1	8	yes	complemented
310	#13133200	C₂³	1	8	yes	complemented
311	#13133200	C₂³	1	8	yes	complemented
312	#13133199	C₂³	1	8	yes	complemented
313	#13133199	C₂³	1	8	yes	complemented
314	#13133199	C₂³	1	8	yes	complemented
315	#13133199	C₂³	1	8	yes	complemented
316	#13133199	C₂³	1	8	yes	complemented
317	#13133198	C₂³	1	8	yes	complemented
318	#13133198	C₂³	1	8	yes	complemented
319	#13133198	C₂³	1	8	yes	complemented
320	#13133198	C₂³	1	8	yes	complemented
321	#13133197	C₂³	1	8	yes	complemented
322	#13133197	C₂³	1	8	yes	complemented
323	#13133196	C₂³	1	8	yes	—
324	#13133196	C₂³	1	8	yes	complemented
325	#13133196	C₂³	1	8	yes	complemented
326	#13133196	C₂³	1	8	yes	complemented
327	#13133196	C₂³	1	8	yes	complemented
328	#13133196	C₂³	1	8	yes	complemented
329	#13133195	C₂³	1	8	yes	complemented
330	#13133195	C₂³	1	8	yes	complemented
331	#13133195	C₂³	1	8	yes	complemented
332	#13133195	C₂³	1	8	yes	complemented
333	#13133195	C₂³	1	8	yes	complemented
334	#13133195	C₂³	1	8	yes	complemented
335	#13133194	C₂³	1	8	yes	—
336	#13133194	C₂³	1	8	yes	—
337	#13133194	C₂³	1	8	yes	—
338	#13133194	C₂³	1	8	yes	—
339	#13133194	C₂³	1	8	yes	—
340	#13133194	C₂³	1	8	yes	—
341	#13133194	C₂³	1	8	yes	—
342	#13133194	C₂³	1	8	yes	complemented
343	#13133194	C₂³	1	8	yes	complemented
344	#13133194	C₂³	1	8	yes	complemented
345	#13133194	C₂³	1	8	yes	complemented
346	#13133194	C₂³	1	8	yes	complemented
347	#13133194	C₂³	1	8	yes	complemented
348	#13133194	C₂³	1	8	yes	complemented
349	#13133194	C₂³	1	8	yes	complemented
350	#13133194	C₂³	1	8	yes	complemented
351	#13133194	C₂³	1	8	yes	complemented
352	#13133194	C₂³	1	8	yes	complemented
353	#13133193	C₂³	1	8	yes	complemented
354	#13133193	C₂³	1	8	yes	complemented
355	#13133193	C₂³	1	8	yes	complemented
356	#13133191	C₂³	1	8	yes	complemented
357	#13133191	C₂³	1	8	yes	complemented
358	#13133191	C₂³	1	8	yes	complemented
359	#13133190	C₂³	1	8	yes	complemented
360	#13133190	C₂³	1	8	yes	complemented
361	#13133190	C₂³	1	8	yes	complemented
362	#13133190	C₂³	1	8	yes	complemented
363	#13133190	C₂³	1	8	yes	complemented
364	#13133189	C₂³	1	8	yes	—
365	#13133189	C₂³	1	8	yes	—
366	#13133189	C₂³	1	8	yes	—
367	#13133189	C₂³	1	8	yes	—
368	#13133189	C₂³	1	8	yes	—
369	#13133189	C₂³	1	8	yes	—
370	#13133189	C₂³	1	8	yes	—
371	#13133189	C₂³	1	8	yes	—
372	#13133189	C₂³	1	8	yes	—
373	#13133189	C₂³	1	8	yes	complemented
374	#13133189	C₂³	1	8	yes	complemented
375	#13133189	C₂³	1	8	yes	complemented
376	#13133189	C₂³	1	8	yes	complemented
377	#13133189	C₂³	1	8	yes	complemented
378	#13133189	C₂³	1	8	yes	complemented
379	#13133189	C₂³	1	8	yes	complemented
380	#13133189	C₂³	1	8	yes	complemented
381	#13133188	C₂³	1	8	yes	complemented
382	#13133188	C₂³	1	8	yes	complemented
383	#13133188	C₂³	1	8	yes	complemented
384	#13133188	C₂³	1	8	yes	complemented
385	#13133187	C₂³	1	8	yes	—
386	#13133186	C₂³	1	8	yes	—
387	#13133186	C₂³	1	8	yes	—
388	#13133185	C₂³	1	8	yes	—
389	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
390	#13133182	C₂³	1	8	yes	complemented
391	D₄×Dic₅₃	C₂³	1	8	yes	—
392	D₄×Dic₅₃	C₂³	1	8	yes	—
393	D₄×Dic₅₃	C₂³	1	8	yes	complemented
394	D₄×Dic₅₃	C₂³	1	8	yes	complemented
395	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
396	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
397	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
398	#13133177	C₂³	1	8	yes	—
399	#13133177	C₂³	1	8	yes	—
400	#13133177	C₂³	1	8	yes	complemented
401	#13133177	C₂³	1	8	yes	complemented
402	#13133177	C₂³	1	8	yes	complemented
403	#13133173	C₂³	1	8	yes	complemented
404	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
405	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
406	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
407	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
408	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
410	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
411	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
412	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
413	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊Dic₅₃	C₂³	1	8	yes	complemented
415	C₂×#11719919	C₂³	1	8	yes	—
416	C₂×#11719919	C₂³	1	1	yes	characteristic
417	C₂×#11719919	C₂³	1	1	yes	characteristic
418	C₂×#11719919	C₂³	1	1	yes	characteristic
419	C₂×#11719919	C₂³	1	1	yes	characteristic
420	C₂×#11719919	C₂³	1	1	yes	characteristic
421	C₂×#11719919	C₂³	1	1	yes	characteristic
422	C₂×#11719919	C₂³	1	1	yes	characteristic
423	C₂×#11719919	C₂³	1	1	yes	characteristic
424	C₂×#11719919	C₂³	1	1	yes	characteristic
425	C₂×#11719919	C₂³	1	1	yes	characteristic
426	C₂×#11719919	C₂³	1	1	yes	characteristic
427	C₂×#11719919	C₂³	1	1	yes	characteristic
428	C₂×#11719919	C₂³	1	1	yes	characteristic
429	C₂×#11719919	C₂³	1	1	yes	characteristic
430	C₂×#11719919	C₂³	1	1	yes	characteristic
431	C₂×#11719919	C₂³	1	1	yes	characteristic
432	C₂×#11719919	C₂³	1	1	yes	characteristic
433	C₂×#11719919	C₂³	1	1	yes	characteristic
434	C₂×#11719919	C₂³	1	1	yes	characteristic
435	C₂×#11719919	C₂³	1	1	yes	characteristic
436	C₂×#11719919	C₂³	1	1	yes	characteristic
437	C₂×#11719919	C₂³	1	1	yes	characteristic
438	C₂×#11719919	C₂³	1	1	yes	characteristic
439	C₂×#11719919	C₂³	1	1	yes	characteristic
440	C₂×#11719919	C₂³	1	8	yes	complemented
441	C₂×#11719919	C₂³	1	8	yes	complemented
442	C₂×#11719919	C₂³	1	8	yes	complemented
443	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
444	C₂×C₂²⋊Dic₅₃	C₂³	1	8	yes	—
445	C₂×C₂²⋊Dic₅₃	C₂³	1	8	yes	—
446	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
447	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
448	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
449	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
450	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
451	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
452	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
453	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
454	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
455	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
456	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
457	C₂×C₂²⋊Dic₅₃	C₂³	1	8	yes	—
458	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
459	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
460	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
461	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
462	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
463	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
464	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
465	C₂×#11719921	C₂³	1	1	yes	characteristic
466	C₂×#11719921	C₂³	1	1	yes	characteristic
467	C₂×#11719921	C₂³	1	1	yes	characteristic
468	C₂×#11719921	C₂³	1	1	yes	characteristic
469	C₂×#11719921	C₂³	1	1	yes	characteristic
470	C₂×#11719921	C₂³	1	1	yes	characteristic
471	C₂×#11719921	C₂³	1	1	yes	characteristic
472	C₂×#11719921	C₂³	1	1	yes	characteristic
473	C₂×#11719921	C₂³	1	8	yes	—
474	C₂×#11719921	C₂³	1	1	yes	characteristic
475	C₂×#11719921	C₂³	1	1	yes	characteristic
476	C₂×#11719921	C₂³	1	1	yes	characteristic
477	C₂×#11719921	C₂³	1	1	yes	characteristic
478	C₂×#11719921	C₂³	1	1	yes	characteristic
479	C₂×#11719921	C₂³	1	1	yes	characteristic
480	C₂×#11719921	C₂³	1	1	yes	characteristic
481	C₂×#11719921	C₂³	1	1	yes	characteristic
482	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
483	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
484	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
485	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
486	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
487	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
488	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
489	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
490	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
491	C₂×#41×C₅₃	—	4	4	no	—
492	C₂×#41×C₅₃	C₂³	1	8	yes	complemented
493	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
494	C₂²×D₄×C₅₃	—	4	4	no	—
495	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
496	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
497	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
498	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
499	C₂²×D₄×C₅₃	C₂³	1	8	yes	—
500	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
501	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
502	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
503	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
504	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
505	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
506	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
507	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
508	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
509	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
510	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
511	#124×C₅₃	C₂³	1	8	yes	complemented
512	#123×C₅₃	C₂³	1	8	yes	complemented
513	#123×C₅₃	C₂³	1	8	yes	complemented
514	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	—
515	#121×C₅₃	C₂³	1	8	yes	complemented
516	#121×C₅₃	C₂³	1	8	yes	complemented
517	#121×C₅₃	C₂³	1	8	yes	complemented
518	#120×C₅₃	C₂³	1	8	yes	—
519	#120×C₅₃	C₂³	1	8	yes	—
520	C₄×D₄×C₅₃	C₂³	1	8	yes	—
521	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
522	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
523	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
524	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
525	C₂×C₄⋊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×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
530	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
531	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
532	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
533	C₂×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	—
534	C₂×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	—
535	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
536	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
537	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
538	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
539	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
540	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
541	C₂⁴×C₅₃	—	2	4	no	—
542	C₂⁴×C₅₃	—	2	4	no	—
543	C₂⁴×C₅₃	—	2	4	no	—
544	C₂⁴×C₅₃	—	4	2	no	—
545	C₂⁴×C₅₃	—	4	2	no	—
546	C₂⁴×C₅₃	—	4	2	no	—
547	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
548	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
549	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
550	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
551	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
552	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
554	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
555	C₂³×D₅₃	—	2	4	no	—
556	C₂³×D₅₃	—	4	2	no	—
557	C₂³×D₅₃	—	4	2	no	—
558	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
559	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
560	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
561	C₂³×D₅₃	C₂⁴	1	4	yes	—
562	#41×C₅₃	—	4	16	no	—
563	C₂×Q₈×C₅₃	—	4	2	no	—
564	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
565	C₂×D₄×C₅₃	—	2	4	no	—
566	C₂×D₄×C₅₃	—	2	4	no	—
567	C₂×D₄×C₅₃	—	2	4	no	—
568	C₂×D₄×C₅₃	—	2	4	no	—
569	C₂×D₄×C₅₃	—	4	2	no	—
570	C₂×D₄×C₅₃	—	4	2	no	—
571	C₂×D₄×C₅₃	—	4	2	no	—
572	C₂×D₄×C₅₃	—	4	2	no	—
573	C₂×D₄×C₅₃	—	4	2	no	—
574	C₂×D₄×C₅₃	—	4	16	no	—
575	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
576	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
577	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
578	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
579	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
580	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
581	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
582	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
583	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
584	C₂²×C₄×C₅₃	—	2	4	no	—
585	C₂²×C₄×C₅₃	—	4	2	no	—
586	C₂²×C₄×C₅₃	—	4	2	no	—
587	C₂²×C₄×C₅₃	—	4	2	no	—
588	C₂²×C₄×C₅₃	—	4	2	no	—
589	C₂²×C₄×C₅₃	—	4	2	no	—
590	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
593	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
594	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
595	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
596	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
597	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
598	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
599	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
600	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
601	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
602	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
603	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
604	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
605	C₂×C₂²⋊D₅₃	—	2	4	no	—
606	C₂×C₂²⋊D₅₃	—	2	4	no	—
607	C₂×C₂²⋊D₅₃	—	2	4	no	—
608	C₂×C₂²⋊D₅₃	—	2	4	no	—
609	C₂×C₂²⋊D₅₃	—	2	4	no	—
610	C₂×C₂²⋊D₅₃	—	2	4	no	—
611	C₂×C₂²⋊D₅₃	—	4	16	no	—
612	C₂×C₂²⋊D₅₃	—	4	2	no	—
613	C₂×C₂²⋊D₅₃	—	4	2	no	—
614	C₂×C₂²⋊D₅₃	—	4	2	no	—
615	C₂×C₂²⋊D₅₃	—	4	2	no	—
616	C₂×C₂²⋊D₅₃	—	4	2	no	—
617	C₂×C₂²⋊D₅₃	—	4	2	no	—
618	C₂×C₂²⋊D₅₃	—	4	2	no	—
619	C₂×C₂²⋊D₅₃	—	4	2	no	—
620	C₂×C₂²⋊D₅₃	—	4	2	no	—
621	C₂×C₂²⋊D₅₃	—	4	2	no	—
622	C₂×C₂²⋊D₅₃	—	4	16	no	—
623	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
624	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
625	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
626	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
627	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
628	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
629	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
630	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
631	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
632	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
633	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
634	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
635	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
636	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
637	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
638	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
639	C₂²×Dic₅₃	—	2	4	no	—
640	C₂²×Dic₅₃	—	2	4	no	—
641	C₂²×Dic₅₃	—	2	4	no	—
642	C₂²×Dic₅₃	—	2	4	no	—
643	C₂²×Dic₅₃	—	2	4	no	—
644	C₂²×Dic₅₃	—	4	16	no	—
645	C₂²×Dic₅₃	—	4	2	no	—
646	C₂²×Dic₅₃	—	4	2	no	—
647	C₂²×Dic₅₃	—	4	2	no	—
648	C₂²×Dic₅₃	—	4	2	no	—
649	C₂²×Dic₅₃	—	4	2	no	—
650	C₂²×Dic₅₃	—	4	2	no	—
651	C₂²×Dic₅₃	—	4	2	no	—
652	C₂²×Dic₅₃	—	4	2	no	—
653	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
654	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
655	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
656	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
657	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
658	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
659	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
660	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
661	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
662	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
663	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
664	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
665	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
666	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
667	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
668	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
669	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
670	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
671	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
672	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
673	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
674	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
675	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
676	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
677	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
678	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
679	#11719947	—	4	16	no	—
680	#11719947	—	4	16	no	—
681	#11719947	—	4	16	no	—
682	#11719947	—	4	16	no	—
683	#11719945	—	4	16	no	—
684	#11719945	—	4	16	no	—
685	C₂×D₂₁₂	—	4	2	no	—
686	C₂×D₂₁₂	—	4	2	no	—
687	C₂×D₂₁₂	C₂⁴	1	4	yes	—
688	C₂×D₂₁₂	C₂⁴	1	4	yes	—
689	C₂×C₄×D₅₃	—	2	4	no	—
690	C₂×C₄×D₅₃	—	4	2	no	—
691	C₂×C₄×D₅₃	—	4	2	no	—
692	C₂×C₄×D₅₃	—	4	2	no	—
693	C₂×C₄×D₅₃	—	4	2	no	—
694	C₂×C₄×D₅₃	—	4	2	no	—
695	C₂×C₄×D₅₃	—	4	2	no	—
696	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
697	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
698	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
699	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
700	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
701	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
702	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
703	C₂×Dic₁₀₆	—	2	4	no	—
704	C₂×Dic₁₀₆	—	2	4	no	—
705	C₂×Dic₁₀₆	—	4	16	no	—
706	C₂×Dic₁₀₆	—	4	2	no	—
707	C₂×Dic₁₀₆	—	4	2	no	—
708	C₂×Dic₁₀₆	—	4	2	no	—
709	C₂×Dic₁₀₆	—	4	2	no	—
710	C₂×Dic₁₀₆	—	4	2	no	—
711	C₂×Dic₁₀₆	—	4	2	no	—
712	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
713	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
714	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
715	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
716	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
717	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
718	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
719	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
720	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
721	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
722	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
723	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
724	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
725	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
726	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
727	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
728	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
729	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
730	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
731	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
732	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
733	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
734	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
735	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
736	C₄²×C₅₃	C₂⁴	1	4	yes	—
737	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
738	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
739	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
740	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
741	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
742	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
743	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
744	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
745	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
746	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
747	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
748	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
749	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
750	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
751	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
752	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
753	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
754	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
755	#11719921	C₂⁴	1	4	yes	—
756	#11719921	C₂⁴	1	4	yes	—
757	#11719921	C₂⁴	1	4	yes	—
758	#11719921	C₂⁴	1	4	yes	—
759	#11719921	C₂⁴	1	4	yes	—
760	#11719921	C₂⁴	1	4	yes	—
761	#11719921	C₂⁴	1	4	yes	—
762	#11719921	C₂⁴	1	4	yes	—
763	#11719921	C₂⁴	1	4	yes	—
764	#11719921	C₂⁴	1	4	yes	—
765	#11719921	C₂⁴	1	4	yes	—
766	#11719921	C₂⁴	1	4	yes	—
767	#11719921	C₂⁴	1	4	yes	—
768	#11719921	C₂⁴	1	4	yes	—
769	#11719921	C₂⁴	1	4	yes	—
770	#11719921	C₂⁴	1	4	yes	—
771	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
772	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
773	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
774	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
775	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
776	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
777	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
778	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
779	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
780	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
781	#11719919	C₂⁴	1	4	yes	—
782	#11719919	C₂⁴	1	4	yes	—
783	#11719919	C₂⁴	1	4	yes	—
784	#11719919	C₂⁴	1	4	yes	—
785	#11719919	C₂⁴	1	4	yes	—
786	#11719919	C₂⁴	1	4	yes	—
787	#11719919	C₂⁴	1	4	yes	—
788	#11719919	C₂⁴	1	4	yes	—
789	#11719919	C₂⁴	1	4	yes	—
790	#11719919	C₂⁴	1	4	yes	—
791	#11719919	C₂⁴	1	4	yes	—
792	#11719919	C₂⁴	1	4	yes	—
793	#11719919	C₂⁴	1	4	yes	—
794	#11719919	C₂⁴	1	4	yes	—
795	#11719919	C₂⁴	1	4	yes	—
796	#11719919	C₂⁴	1	4	yes	—
797	#11719919	C₂⁴	1	4	yes	—
798	#11719919	C₂⁴	1	4	yes	—
799	#11719919	C₂⁴	1	4	yes	—
800	#11719919	C₂⁴	1	4	yes	—
801	#11719919	C₂⁴	1	4	yes	—
802	#11719919	C₂⁴	1	4	yes	—
803	#11719919	C₂⁴	1	4	yes	—
804	#11719919	C₂⁴	1	4	yes	—
805	C₄×Dic₅₃	C₂⁴	1	4	yes	—
806	C₄×Dic₅₃	C₂⁴	1	4	yes	—
807	C₄×Dic₅₃	C₂⁴	1	4	yes	—
808	C₄×Dic₅₃	C₂⁴	1	4	yes	—
809	C₄×Dic₅₃	C₂⁴	1	4	yes	—
810	C₂³×C₅₃	—	2	2	no	—
811	C₂³×C₅₃	—	2	2	no	—
812	C₂³×C₅₃	—	2	2	no	—
813	C₂³×C₅₃	—	2	2	no	—
814	C₂³×C₅₃	—	2	2	no	—
815	C₂³×C₅₃	—	2	2	no	—
816	C₂³×C₅₃	—	2	2	no	—
817	C₂³×C₅₃	—	2	2	no	—
818	C₂³×C₅₃	—	2	2	no	—
819	C₂³×C₅₃	—	2	2	no	—
820	C₂³×C₅₃	—	2	8	no	—
821	C₂³×C₅₃	—	2	2	no	—
822	C₂³×C₅₃	—	2	2	no	—
823	C₂³×C₅₃	—	2	2	no	—
824	C₂³×C₅₃	—	2	8	no	—
825	C₂³×C₅₃	—	2	2	no	—
826	C₂³×C₅₃	—	2	2	no	—
827	C₂³×C₅₃	—	2	2	no	—
828	C₂³×C₅₃	—	2	8	no	—
829	C₂³×C₅₃	—	4	4	no	—
830	C₂³×C₅₃	—	4	4	no	—
831	C₂³×C₅₃	—	4	4	no	—
832	C₂³×C₅₃	—	4	16	no	—
833	C₂³×C₅₃	—	8	8	no	—
834	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	—
835	C₂³×C₅₃	2₋¹⁺⁴	1	4	yes	—
836	C₂³×C₅₃	C₂⁵	1	2	yes	—
837	C₂³×C₅₃	C₂⁵	1	2	yes	—
838	C₂³×C₅₃	C₂⁵	1	2	yes	—
839	C₂³×C₅₃	C₂⁵	1	2	yes	—
840	C₂³×C₅₃	C₂⁵	1	2	yes	—
841	C₂³×C₅₃	C₂⁵	1	2	yes	—
842	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
843	C₂²×D₅₃	—	2	2	no	—
844	C₂²×D₅₃	—	2	2	no	—
845	C₂²×D₅₃	—	2	2	no	—
846	C₂²×D₅₃	—	2	2	no	—
847	C₂²×D₅₃	—	2	2	no	—
848	C₂²×D₅₃	—	2	2	no	—
849	C₂²×D₅₃	—	2	2	no	—
850	C₂²×D₅₃	—	2	2	no	—
851	C₂²×D₅₃	—	2	2	no	—
852	C₂²×D₅₃	—	2	8	no	—
853	C₂²×D₅₃	—	4	4	no	—
854	C₂²×D₅₃	—	4	4	no	—
855	C₂²×D₅₃	—	8	8	no	—
856	C₂²×D₅₃	C₂⁵	1	2	yes	—
857	C₂²×D₅₃	C₂⁵	1	2	yes	—
858	C₂²×D₅₃	C₂⁵	1	2	yes	—
859	Q₈×C₅₃	—	4	4	no	—
860	D₄×C₅₃	—	2	8	no	—
861	D₄×C₅₃	—	2	8	no	—
862	D₄×C₅₃	—	2	8	no	—
863	D₄×C₅₃	—	2	8	no	—
864	D₄×C₅₃	—	4	4	no	—
865	D₄×C₅₃	—	4	4	no	—
866	D₄×C₅₃	—	4	4	no	—
867	D₄×C₅₃	—	4	4	no	—
868	D₄×C₅₃	—	4	4	no	—
869	C₂×C₄×C₅₃	—	2	2	no	—
870	C₂×C₄×C₅₃	—	2	2	no	—
871	C₂×C₄×C₅₃	—	2	2	no	—
872	C₂×C₄×C₅₃	—	2	2	no	—
873	C₂×C₄×C₅₃	—	2	2	no	—
874	C₂×C₄×C₅₃	—	2	2	no	—
875	C₂×C₄×C₅₃	—	2	2	no	—
876	C₂×C₄×C₅₃	—	2	8	no	—
877	C₂×C₄×C₅₃	—	2	2	no	—
878	C₂×C₄×C₅₃	—	2	2	no	—
879	C₂×C₄×C₅₃	—	4	4	no	—
880	C₂×C₄×C₅₃	—	4	4	no	—
881	C₂×C₄×C₅₃	—	4	4	no	—
882	C₂×C₄×C₅₃	—	4	4	no	—
883	C₂×C₄×C₅₃	—	4	4	no	—
884	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
885	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
886	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
887	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
888	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
889	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
890	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
891	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
892	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
893	C₂²⋊D₅₃	—	2	8	no	—
894	C₂²⋊D₅₃	—	2	8	no	—
895	C₂²⋊D₅₃	—	2	8	no	—
896	C₂²⋊D₅₃	—	2	8	no	—
897	C₂²⋊D₅₃	—	2	8	no	—
898	C₂²⋊D₅₃	—	2	8	no	—
899	C₂²⋊D₅₃	—	4	4	no	—
900	C₂²⋊D₅₃	—	4	4	no	—
901	C₂²⋊D₅₃	—	4	4	no	—
902	C₂²⋊D₅₃	—	4	4	no	—
903	C₂²⋊D₅₃	—	4	4	no	—
904	C₂²⋊D₅₃	—	4	4	no	—
905	C₂²⋊D₅₃	—	4	4	no	—
906	C₂²⋊D₅₃	—	4	4	no	—
907	C₂²⋊D₅₃	—	4	4	no	—
908	C₂²⋊D₅₃	—	4	4	no	—
909	C₂×Dic₅₃	—	2	2	no	—
910	C₂×Dic₅₃	—	2	2	no	—
911	C₂×Dic₅₃	—	2	2	no	—
912	C₂×Dic₅₃	—	2	2	no	—
913	C₂×Dic₅₃	—	2	2	no	—
914	C₂×Dic₅₃	—	2	2	no	—
915	C₂×Dic₅₃	—	2	2	no	—
916	C₂×Dic₅₃	—	2	2	no	—
917	C₂×Dic₅₃	—	2	2	no	—
918	C₂×Dic₅₃	—	2	2	no	—
919	C₂×Dic₅₃	—	2	8	no	—
920	C₂×Dic₅₃	—	2	2	no	—
921	C₂×Dic₅₃	—	2	2	no	—
922	C₂×Dic₅₃	—	2	8	no	—
923	C₂×Dic₅₃	—	2	8	no	—
924	C₂×Dic₅₃	—	2	8	no	—
925	C₂×Dic₅₃	—	2	8	no	—
926	C₂×Dic₅₃	—	4	4	no	—
927	C₂×Dic₅₃	—	4	4	no	—
928	C₂×Dic₅₃	—	4	4	no	—
929	C₂×Dic₅₃	—	4	4	no	—
930	C₂×Dic₅₃	—	4	4	no	—
931	C₂×Dic₅₃	—	4	4	no	—
932	C₂×Dic₅₃	—	4	4	no	—
933	C₂×Dic₅₃	—	4	4	no	—
934	C₂×Dic₅₃	H(5,𝔽₂)	1	4	yes	—
935	C₂×Dic₅₃	C₂⁵	1	2	yes	—
936	C₂×Dic₅₃	C₂⁵	1	2	yes	—
937	C₂×Dic₅₃	C₂⁵	1	2	yes	—
938	C₂×Dic₅₃	C₂⁵	1	2	yes	—
939	C₂×Dic₅₃	C₂⁵	1	2	yes	—
940	C₂×Dic₅₃	C₂⁵	1	2	yes	—
941	C₂×Dic₅₃	C₂⁵	1	2	yes	—
942	C₂×Dic₅₃	C₂⁵	1	2	yes	—
943	C₂×Dic₅₃	C₂⁵	1	2	yes	—
944	C₂×Dic₅₃	C₂⁵	1	2	yes	—
945	C₂×Dic₅₃	C₂⁵	1	2	yes	—
946	C₂×Dic₅₃	C₂⁵	1	2	yes	—
947	C₂×Dic₅₃	C₂⁵	1	2	yes	—
948	D₂₁₂	—	4	4	no	—
949	D₂₁₂	—	4	4	no	—
950	C₄×D₅₃	—	2	8	no	—
951	C₄×D₅₃	—	4	4	no	—
952	C₄×D₅₃	—	4	4	no	—
953	C₄×D₅₃	—	4	4	no	—
954	C₄×D₅₃	—	4	4	no	—
955	C₄×D₅₃	—	4	4	no	—
956	C₄×D₅₃	—	4	4	no	—
957	Dic₁₀₆	—	2	8	no	—
958	Dic₁₀₆	—	2	8	no	—
959	Dic₁₀₆	—	4	4	no	—
960	Dic₁₀₆	—	4	4	no	—
961	Dic₁₀₆	—	4	4	no	—
962	Dic₁₀₆	—	4	4	no	—
963	Dic₁₀₆	—	4	4	no	—
964	Dic₁₀₆	—	4	4	no	—
965	C₂×#3536	—	53	1	no	maximal, Sylow
966	C₂²×C₅₃	—	2	2	no	—
967	C₂²×C₅₃	—	2	2	no	—
968	C₂²×C₅₃	—	2	2	no	—
969	C₂²×C₅₃	—	2	2	no	—
970	C₂²×C₅₃	—	2	8	no	—
971	C₂²×C₅₃	—	2	8	no	—
972	C₂²×C₅₃	—	2	2	no	—
973	C₂²×C₅₃	—	2	2	no	—
974	C₂²×C₅₃	—	2	2	no	—
975	C₂²×C₅₃	—	2	2	no	—
976	C₂²×C₅₃	—	2	2	no	—
977	C₂²×C₅₃	—	2	2	no	—
978	C₂²×C₅₃	—	2	2	no	—
979	C₂²×C₅₃	—	2	2	no	—
980	C₂²×C₅₃	—	2	2	no	—
981	C₂²×C₅₃	—	2	2	no	—
982	C₂²×C₅₃	—	2	2	no	—
983	C₂²×C₅₃	—	2	2	no	—
984	C₂²×C₅₃	—	4	16	no	—
985	C₂²×C₅₃	—	4	4	no	—
986	C₂²×C₅₃	—	4	4	no	—
987	C₂²×C₅₃	—	4	4	no	—
988	C₂²×C₅₃	—	4	4	no	—
989	C₂²×C₅₃	—	8	8	no	—
990	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
991	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
992	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
993	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	4	yes	—
994	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
995	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
996	C₂×D₅₃	—	2	2	no	—
997	C₂×D₅₃	—	2	2	no	—
998	C₂×D₅₃	—	2	2	no	—
999	C₂×D₅₃	—	2	2	no	—
1000	C₂×D₅₃	—	2	2	no	—
1001	C₂×D₅₃	—	2	2	no	—
1002	C₂×D₅₃	—	2	2	no	—
1003	C₂×D₅₃	—	2	2	no	—
1004	C₂×D₅₃	—	2	2	no	—
1005	C₂×D₅₃	—	4	4	no	—
1006	C₂×D₅₃	—	4	4	no	—
1007	C₂×D₅₃	—	4	4	no	—
1008	C₂×D₅₃	—	8	8	no	—
1009	C₄×C₅₃	—	2	2	no	—
1010	C₄×C₅₃	—	2	2	no	—
1011	C₄×C₅₃	—	2	2	no	—
1012	C₄×C₅₃	—	2	2	no	—
1013	C₄×C₅₃	—	2	2	no	—
1014	C₄×C₅₃	—	2	2	no	—
1015	C₄×C₅₃	—	2	2	no	—
1016	C₄×C₅₃	—	2	2	no	—
1017	C₄×C₅₃	—	2	2	no	—
1018	Dic₅₃	—	2	2	no	—
1019	Dic₅₃	—	2	2	no	—
1020	Dic₅₃	—	2	2	no	—
1021	Dic₅₃	—	2	2	no	—
1022	Dic₅₃	—	2	2	no	—
1023	Dic₅₃	—	2	2	no	—
1024	Dic₅₃	—	2	2	no	—
1025	Dic₅₃	—	2	2	no	—
1026	Dic₅₃	—	2	2	no	—
1027	Dic₅₃	—	2	2	no	—
1028	Dic₅₃	—	2	2	no	—
1029	Dic₅₃	—	2	2	no	—
1030	Dic₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1031	#3536	—	53	32	no	—
1032	C₂×#562	—	53	1	no	—
1033	C₂×#562	—	53	1	no	—
1034	C₂×#562	—	53	1	no	—
1035	C₂×#562	—	53	1	no	—
1036	C₂×#554	—	53	1	no	—
1037	C₂×#554	—	53	1	no	—
1038	C₂×#548	—	53	1	no	—
1039	C₂×#548	—	53	1	no	—
1040	C₂×#547	—	53	1	no	—
1041	C₂×#547	—	53	1	no	—
1042	C₂×#546	—	53	1	no	—
1043	C₂×#546	—	53	1	no	—
1044	C₂×#546	—	53	1	no	—
1045	C₂×#546	—	53	1	no	—
1046	C₂×#546	—	53	1	no	—
1047	C₂×#546	D₅₃	1	1	yes	characteristic, complemented
1048	C₂×#543	—	53	1	no	—
1049	C₂×#543	—	53	1	no	—
1050	C₂×#542	—	53	1	no	—
1051	C₂×#542	—	53	1	no	—
1052	C₂×#539	—	53	1	no	—
1053	C₂×#539	—	53	1	no	—
1054	C₂×#538	—	53	1	no	—
1055	C₂×#538	—	53	1	no	—
1056	C₂×#537	—	53	1	no	—
1057	C₂×#537	—	53	1	no	—
1058	C₂×#537	—	53	1	no	—
1059	C₂×#537	—	53	1	no	—
1060	C₂×#525	—	53	1	no	—
1061	C₂²×C₂²⋊Q₈	—	53	1	no	—
1062	C₂²×#121	—	53	1	no	—
1063	C₂×C₅₃	—	2	4	no	—
1064	C₂×C₅₃	—	2	4	no	—
1065	C₂×C₅₃	—	4	2	no	—
1066	C₂×C₅₃	—	4	2	no	—
1067	C₂×C₅₃	—	4	2	no	—
1068	C₂×C₅₃	—	4	2	no	—
1069	C₂×C₅₃	#3536	1	4	yes	complemented
1070	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1071	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1072	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1073	D₅₃	—	4	2	no	—
1074	D₅₃	—	4	2	no	—
1075	D₅₃	—	4	2	no	—
1076	C₂²×#41	—	53	1	no	—
1077	C₂²×#41	—	53	1	no	—
1078	C₂²×#41	—	53	1	no	—
1079	C₂²×#41	—	53	1	no	—
1080	C₂²×#41	—	53	1	no	—
1081	C₂²×#41	—	53	1	no	—
1082	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1083	C₂³×Q₈	—	53	1	no	—
1084	C₂³×D₄	—	53	1	no	—
1085	C₂³×D₄	—	53	1	no	—
1086	C₂³×D₄	C₂×D₅₃	1	1	yes	characteristic
1087	C₂⁴×C₄	—	53	1	no	—
1088	#562	—	53	16	no	—
1089	#562	—	53	16	no	—
1090	#562	—	53	16	no	—
1091	#562	—	53	16	no	—
1092	#554	—	53	16	no	—
1093	#554	—	53	16	no	—
1094	#548	—	53	16	no	—
1095	#548	—	53	16	no	—
1096	#547	—	53	16	no	—
1097	#547	—	53	16	no	—
1098	#546	—	53	16	no	—
1099	#546	—	53	16	no	—
1100	#546	—	53	16	no	—
1101	#546	—	53	16	no	—
1102	#546	—	53	16	no	—
1103	#546	C₂×D₅₃	1	16	yes	complemented
1104	#543	—	53	16	no	—
1105	#543	—	53	16	no	—
1106	#542	—	53	16	no	—
1107	#542	—	53	16	no	—
1108	#539	—	53	16	no	—
1109	#539	—	53	16	no	—
1110	#538	—	53	16	no	—
1111	#538	—	53	16	no	—
1112	#537	—	53	16	no	—
1113	#537	—	53	16	no	—
1114	#537	—	53	16	no	—
1115	#537	—	53	16	no	—
1116	C₂×C₄⋊Q₈	—	53	1	no	—
1117	C₂×C₄⋊Q₈	—	53	1	no	—
1118	C₂×#126	—	53	1	no	—
1119	C₂×#126	—	53	1	no	—
1120	C₂×#126	—	53	1	no	—
1121	C₂×#126	—	53	1	no	—
1122	C₂×#125	—	53	1	no	—
1123	C₂×#125	—	53	1	no	—
1124	C₂×#125	—	53	1	no	—
1125	C₂×#125	—	53	1	no	—
1126	C₂×#124	—	53	1	no	—
1127	C₂×#124	—	53	1	no	—
1128	C₂×#124	—	53	1	no	—
1129	C₂×#124	—	53	1	no	—
1130	C₂×#124	—	53	1	no	—
1131	C₂×#124	—	53	1	no	—
1132	C₂×#124	—	53	1	no	—
1133	C₂×#124	—	53	1	no	—
1134	C₂×#124	—	53	1	no	—
1135	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1136	#525	—	53	16	no	—
1137	C₂×#123	—	53	1	no	—
1138	C₂×#123	—	53	1	no	—
1139	C₂×#123	—	53	1	no	—
1140	C₂×#123	—	53	1	no	—
1141	C₂×#123	—	53	1	no	—
1142	C₂×#123	—	53	1	no	—
1143	C₂×#123	—	53	1	no	—
1144	C₂×#123	—	53	1	no	—
1145	C₂×#123	—	53	1	no	—
1146	C₂×#123	—	53	1	no	—
1147	C₂×#123	—	53	1	no	—
1148	C₂×#123	—	53	1	no	—
1149	C₂×#123	—	53	1	no	—
1150	C₂×#123	—	53	1	no	—
1151	C₂×#123	—	53	1	no	—
1152	C₂×#123	—	53	1	no	—
1153	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1154	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1155	C₂×C₂²⋊Q₈	—	53	1	no	—
1156	C₂×C₂²⋊Q₈	—	53	1	no	—
1157	C₂×C₂²⋊Q₈	—	53	1	no	—
1158	C₂×C₂²⋊Q₈	—	53	1	no	—
1159	C₂×C₂²⋊Q₈	—	53	1	no	—
1160	C₂×C₂²⋊Q₈	—	53	1	no	—
1161	C₂×C₂²⋊Q₈	—	53	1	no	—
1162	C₂×C₂²⋊Q₈	—	53	1	no	—
1163	C₂×C₂²⋊Q₈	—	53	1	no	—
1164	C₂×C₂²⋊Q₈	—	53	1	no	—
1165	C₂×C₂²⋊Q₈	—	53	1	no	—
1166	C₂×C₂²⋊Q₈	—	53	1	no	—
1167	C₂×C₂²⋊Q₈	—	53	1	no	—
1168	C₂×C₂²⋊Q₈	—	53	1	no	—
1169	C₂×C₂²⋊Q₈	—	53	1	no	—
1170	C₂×C₂²⋊Q₈	—	53	1	no	—
1171	C₂×C₂²⋊Q₈	—	53	1	no	—
1172	C₂×C₂²⋊Q₈	—	53	1	no	—
1173	C₂×C₂²⋊Q₈	—	53	1	no	—
1174	C₂×C₂²⋊Q₈	—	53	1	no	—
1175	C₂×C₂²⋊Q₈	—	53	1	no	—
1176	C₂×C₂²⋊Q₈	—	53	1	no	—
1177	C₂×C₂²⋊Q₈	—	53	1	no	—
1178	C₂×C₂²⋊Q₈	—	53	1	no	—
1179	C₂×C₂²⋊Q₈	—	53	1	no	—
1180	C₂×C₂²⋊Q₈	—	53	16	no	—
1181	C₂×C₂²⋊Q₈	—	53	1	no	—
1182	C₂×C₂²⋊Q₈	—	53	1	no	—
1183	C₂×C₂²⋊Q₈	—	53	1	no	—
1184	C₂×C₂²⋊Q₈	—	53	1	no	—
1185	C₂×C₂²⋊Q₈	—	53	1	no	—
1186	C₂×C₂²⋊Q₈	—	53	1	no	—
1187	C₂×C₂²⋊Q₈	—	53	1	no	—
1188	C₂×C₂²⋊Q₈	—	53	1	no	—
1189	C₂×C₂²⋊Q₈	—	53	1	no	—
1190	C₂×C₂²⋊Q₈	—	53	1	no	—
1191	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic
1192	C₂×#121	—	53	1	no	—
1193	C₂×#121	—	53	1	no	—
1194	C₂×#121	—	53	1	no	—
1195	C₂×#121	—	53	1	no	—
1196	C₂×#121	—	53	1	no	—
1197	C₂×#121	—	53	1	no	—
1198	C₂×#121	—	53	1	no	—
1199	C₂×#121	—	53	1	no	—
1200	C₂×#121	—	53	16	no	—
1201	C₂×#121	—	53	1	no	—
1202	C₂×#121	—	53	1	no	—
1203	C₂×#121	—	53	1	no	—
1204	C₂×#121	—	53	1	no	—
1205	C₂×#121	—	53	1	no	—
1206	C₂×#121	—	53	1	no	—
1207	C₂×#121	—	53	1	no	—
1208	C₂×#121	—	53	1	no	—
1209	C₂×#121	—	53	1	no	—
1210	C₂×#121	—	53	1	no	—
1211	C₂×#121	—	53	1	no	—
1212	C₂×#121	—	53	1	no	—
1213	C₂×#121	—	53	1	no	—
1214	C₂×#121	—	53	1	no	—
1215	C₂×#121	—	53	1	no	—
1216	C₂×#121	—	53	1	no	—
1217	C₂×#121	—	53	1	no	—
1218	C₂×#121	—	53	1	no	—
1219	C₂×#121	—	53	1	no	—
1220	C₂×#121	—	53	1	no	—
1221	C₂×#121	—	53	1	no	—
1222	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1223	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1224	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1225	C₂×#120	—	53	1	no	—
1226	C₂×#120	—	53	1	no	—
1227	C₂×#120	—	53	1	no	—
1228	C₂×#120	—	53	1	no	—
1229	C₂×#120	C₂×D₅₃	1	1	yes	characteristic
1230	C₂×#120	C₂×D₅₃	1	1	yes	characteristic
1231	C₂×C₄×Q₈	—	53	1	no	—
1232	C₂×C₄×Q₈	—	53	1	no	—
1233	C₂×C₄×D₄	—	53	1	no	—
1234	C₂×C₄×D₄	—	53	1	no	—
1235	C₂×C₄×D₄	—	53	1	no	—
1236	C₂×C₄×D₄	—	53	1	no	—
1237	C₂×C₄×D₄	—	53	1	no	—
1238	C₂×C₄×D₄	—	53	1	no	—
1239	C₂×C₄×D₄	—	53	1	no	—
1240	C₂×C₄×D₄	—	53	1	no	—
1241	C₂×C₄×D₄	—	53	1	no	—
1242	C₂×C₄×D₄	—	53	1	no	—
1243	C₂×C₄×D₄	—	53	1	no	—
1244	C₂×C₄×D₄	—	53	1	no	—
1245	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1246	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1247	C₂×#117	—	53	1	no	—
1248	C₂²×C₄⋊C₄	—	53	1	no	—
1249	C₂²×C₄⋊C₄	—	53	1	no	—
1250	C₂²×C₄⋊C₄	—	53	1	no	—
1251	C₂²×C₄⋊C₄	—	53	1	no	—
1252	C₂²×C₄⋊C₄	—	53	1	no	—
1253	C₂²×C₄⋊C₄	—	53	1	no	—
1254	C₂²×C₂²⋊C₄	—	53	1	no	—
1255	C₂²×C₂²⋊C₄	—	53	1	no	—
1256	C₂²×C₂²⋊C₄	—	53	1	no	—
1257	C₂²×C₂²⋊C₄	—	53	1	no	—
1258	C₂²×C₂²⋊C₄	—	53	1	no	—
1259	C₂²×C₂²⋊C₄	—	53	1	no	—
1260	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic
1261	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic
1262	C₅₃	C₂×#3536	1	1	yes	characteristic, complemented, Sylow
1263	C₂⁵	—	53	1	no	—
1264	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1265	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1266	C₂×#41	—	4	4	no	—
1267	C₂×#41	—	53	8	no	—
1268	C₂×#41	—	53	8	no	—
1269	C₂×#41	—	53	8	no	—
1270	C₂×#41	—	53	8	no	—
1271	C₂×#41	—	53	8	no	—
1272	C₂×#41	—	53	8	no	—
1273	C₂×#41	—	212	4	no	—
1274	C₂×#41	—	212	4	no	—
1275	C₂×#41	—	212	4	no	—
1276	C₂×#41	—	212	4	no	—
1277	C₂×#41	—	212	4	no	—
1278	C₂×#41	—	212	4	no	—
1279	C₂×#41	C₂²×D₅₃	1	8	yes	complemented
1280	C₂²×Q₈	—	53	1	no	—
1281	C₂²×Q₈	—	53	1	no	—
1282	C₂²×Q₈	—	53	1	no	—
1283	C₂²×Q₈	—	53	1	no	—
1284	C₂²×Q₈	—	53	1	no	—
1285	C₂²×Q₈	—	53	1	no	—
1286	C₂²×Q₈	—	53	1	no	—
1287	C₂²×Q₈	—	53	1	no	—
1288	C₂²×Q₈	—	53	8	no	—
1289	C₂²×Q₈	—	212	4	no	—
1290	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1291	C₂²×D₄	—	4	4	no	—
1292	C₂²×D₄	—	53	1	no	—
1293	C₂²×D₄	—	53	1	no	—
1294	C₂²×D₄	—	53	1	no	—
1295	C₂²×D₄	—	53	1	no	—
1296	C₂²×D₄	—	53	1	no	—
1297	C₂²×D₄	—	53	1	no	—
1298	C₂²×D₄	—	53	1	no	—
1299	C₂²×D₄	—	53	1	no	—
1300	C₂²×D₄	—	53	1	no	—
1301	C₂²×D₄	—	53	1	no	—
1302	C₂²×D₄	—	53	1	no	—
1303	C₂²×D₄	—	53	1	no	—
1304	C₂²×D₄	—	53	1	no	—
1305	C₂²×D₄	—	53	1	no	—
1306	C₂²×D₄	—	53	1	no	—
1307	C₂²×D₄	—	53	1	no	—
1308	C₂²×D₄	—	53	8	no	—
1309	C₂²×D₄	—	53	8	no	—
1310	C₂²×D₄	—	53	1	no	—
1311	C₂²×D₄	—	53	1	no	—
1312	C₂²×D₄	—	212	4	no	—
1313	C₂²×D₄	—	212	4	no	—
1314	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1315	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1316	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1317	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1318	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1319	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1320	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1321	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1322	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1323	C₂²×D₄	C₂²×D₅₃	1	8	yes	—
1324	C₂³×C₄	—	53	1	no	—
1325	C₂³×C₄	—	53	1	no	—
1326	C₂³×C₄	—	53	1	no	—
1327	C₂³×C₄	—	53	1	no	—
1328	C₂³×C₄	—	53	1	no	—
1329	C₂³×C₄	—	53	1	no	—
1330	C₂³×C₄	—	53	1	no	—
1331	C₂³×C₄	—	53	1	no	—
1332	C₂³×C₄	—	53	1	no	—
1333	C₂³×C₄	—	53	1	no	—
1334	C₂³×C₄	—	53	1	no	—
1335	C₂³×C₄	—	53	1	no	—
1336	C₂³×C₄	—	53	1	no	—
1337	C₂³×C₄	—	53	8	no	—
1338	C₂³×C₄	—	53	1	no	—
1339	C₂³×C₄	—	53	1	no	—
1340	C₂³×C₄	—	53	1	no	—
1341	C₂³×C₄	—	53	1	no	—
1342	C₂³×C₄	—	53	1	no	—
1343	C₂³×C₄	—	53	1	no	—
1344	C₂³×C₄	—	53	1	no	—
1345	C₂³×C₄	—	212	4	no	—
1346	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1347	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1348	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1349	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1350	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1351	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1352	C₄⋊Q₈	—	53	8	no	—
1353	C₄⋊Q₈	—	53	8	no	—
1354	#126	—	53	8	no	—
1355	#126	—	53	8	no	—
1356	#126	—	53	8	no	—
1357	#126	—	53	8	no	—
1358	#125	—	53	8	no	—
1359	#125	—	53	8	no	—
1360	#125	—	53	8	no	—
1361	#125	—	53	8	no	—
1362	#124	—	53	8	no	—
1363	#124	—	53	8	no	—
1364	#124	—	53	8	no	—
1365	#124	—	53	8	no	—
1366	#124	—	53	8	no	—
1367	#124	—	53	8	no	—
1368	#124	—	53	8	no	—
1369	#124	—	53	8	no	—
1370	#124	—	53	8	no	—
1371	#124	C₂²×D₅₃	1	8	yes	complemented
1372	#123	—	53	8	no	—
1373	#123	—	53	8	no	—
1374	#123	—	53	8	no	—
1375	#123	—	53	8	no	—
1376	#123	—	53	8	no	—
1377	#123	—	53	8	no	—
1378	#123	—	53	8	no	—
1379	#123	—	53	8	no	—
1380	#123	—	53	8	no	—
1381	#123	—	53	8	no	—
1382	#123	—	53	8	no	—
1383	#123	—	53	8	no	—
1384	#123	—	53	8	no	—
1385	#123	—	53	8	no	—
1386	#123	—	53	8	no	—
1387	#123	—	53	8	no	—
1388	#123	C₂²×D₅₃	1	8	yes	complemented
1389	#123	C₂²×D₅₃	1	8	yes	complemented
1390	C₂²⋊Q₈	—	53	8	no	—
1391	C₂²⋊Q₈	—	53	8	no	—
1392	C₂²⋊Q₈	—	53	8	no	—
1393	C₂²⋊Q₈	—	53	8	no	—
1394	C₂²⋊Q₈	—	53	8	no	—
1395	C₂²⋊Q₈	—	53	8	no	—
1396	C₂²⋊Q₈	—	53	8	no	—
1397	C₂²⋊Q₈	—	53	8	no	—
1398	C₂²⋊Q₈	—	53	8	no	—
1399	C₂²⋊Q₈	—	53	8	no	—
1400	C₂²⋊Q₈	—	53	8	no	—
1401	C₂²⋊Q₈	—	53	8	no	—
1402	C₂²⋊Q₈	—	53	8	no	—
1403	C₂²⋊Q₈	—	53	8	no	—
1404	C₂²⋊Q₈	—	53	8	no	—
1405	C₂²⋊Q₈	—	53	8	no	—
1406	C₂²⋊Q₈	—	53	8	no	—
1407	C₂²⋊Q₈	—	53	8	no	—
1408	C₂²⋊Q₈	—	53	8	no	—
1409	C₂²⋊Q₈	—	53	8	no	—
1410	C₂²⋊Q₈	—	53	8	no	—
1411	C₂²⋊Q₈	—	53	8	no	—
1412	C₂²⋊Q₈	—	53	8	no	—
1413	C₂²⋊Q₈	—	53	8	no	—
1414	C₂²⋊Q₈	—	53	8	no	—
1415	C₂²⋊Q₈	—	53	8	no	—
1416	C₂²⋊Q₈	—	53	8	no	—
1417	C₂²⋊Q₈	—	53	8	no	—
1418	C₂²⋊Q₈	—	53	8	no	—
1419	C₂²⋊Q₈	—	53	8	no	—
1420	C₂²⋊Q₈	—	53	8	no	—
1421	C₂²⋊Q₈	—	53	8	no	—
1422	C₂²⋊Q₈	—	53	8	no	—
1423	C₂²⋊Q₈	—	53	8	no	—
1424	C₂²⋊Q₈	—	53	8	no	—
1425	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	—
1426	#121	—	53	8	no	—
1427	#121	—	53	8	no	—
1428	#121	—	53	8	no	—
1429	#121	—	53	8	no	—
1430	#121	—	53	8	no	—
1431	#121	—	53	8	no	—
1432	#121	—	53	8	no	—
1433	#121	—	53	8	no	—
1434	#121	—	53	8	no	—
1435	#121	—	53	8	no	—
1436	#121	—	53	8	no	—
1437	#121	—	53	8	no	—
1438	#121	—	53	8	no	—
1439	#121	—	53	8	no	—
1440	#121	—	53	8	no	—
1441	#121	—	53	8	no	—
1442	#121	—	53	8	no	—
1443	#121	—	53	8	no	—
1444	#121	—	53	8	no	—
1445	#121	—	53	8	no	—
1446	#121	—	53	8	no	—
1447	#121	—	53	8	no	—
1448	#121	—	53	8	no	—
1449	#121	—	53	8	no	—
1450	#121	—	53	8	no	—
1451	#121	—	53	8	no	—
1452	#121	—	53	8	no	—
1453	#121	—	53	8	no	—
1454	#121	—	53	8	no	—
1455	#121	C₂²×D₅₃	1	8	yes	complemented
1456	#121	C₂²×D₅₃	1	8	yes	complemented
1457	#121	C₂²×D₅₃	1	8	yes	complemented
1458	#120	—	53	8	no	—
1459	#120	—	53	8	no	—
1460	#120	—	53	8	no	—
1461	#120	—	53	8	no	—
1462	#120	C₂²×D₅₃	1	8	yes	—
1463	#120	C₂²×D₅₃	1	8	yes	—
1464	C₄×Q₈	—	53	8	no	—
1465	C₄×Q₈	—	53	8	no	—
1466	C₄×D₄	—	53	8	no	—
1467	C₄×D₄	—	53	8	no	—
1468	C₄×D₄	—	53	8	no	—
1469	C₄×D₄	—	53	8	no	—
1470	C₄×D₄	—	53	8	no	—
1471	C₄×D₄	—	53	8	no	—
1472	C₄×D₄	—	53	8	no	—
1473	C₄×D₄	—	53	8	no	—
1474	C₄×D₄	—	53	8	no	—
1475	C₄×D₄	—	53	8	no	—
1476	C₄×D₄	—	53	8	no	—
1477	C₄×D₄	—	53	8	no	—
1478	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1479	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1480	#117	—	53	8	no	—
1481	C₂×C₄⋊C₄	—	53	1	no	—
1482	C₂×C₄⋊C₄	—	53	1	no	—
1483	C₂×C₄⋊C₄	—	53	1	no	—
1484	C₂×C₄⋊C₄	—	53	1	no	—
1485	C₂×C₄⋊C₄	—	53	1	no	—
1486	C₂×C₄⋊C₄	—	53	1	no	—
1487	C₂×C₄⋊C₄	—	53	8	no	—
1488	C₂×C₄⋊C₄	—	53	1	no	—
1489	C₂×C₄⋊C₄	—	53	1	no	—
1490	C₂×C₄⋊C₄	—	53	1	no	—
1491	C₂×C₄⋊C₄	—	53	1	no	—
1492	C₂×C₄⋊C₄	—	53	1	no	—
1493	C₂×C₄⋊C₄	—	53	1	no	—
1494	C₂×C₄⋊C₄	—	53	1	no	—
1495	C₂×C₄⋊C₄	—	53	1	no	—
1496	C₂×C₄⋊C₄	—	53	1	no	—
1497	C₂×C₄⋊C₄	—	53	1	no	—
1498	C₂×C₄⋊C₄	—	53	1	no	—
1499	C₂×C₄⋊C₄	—	53	1	no	—
1500	C₂×C₄⋊C₄	—	53	1	no	—
1501	C₂×C₄⋊C₄	—	53	8	no	—
1502	C₂×C₄⋊C₄	—	53	8	no	—
1503	C₂×C₄⋊C₄	—	53	8	no	—
1504	C₂×C₄⋊C₄	—	53	8	no	—
1505	C₂×C₄⋊C₄	—	53	1	no	—
1506	C₂×C₄⋊C₄	—	53	1	no	—
1507	C₂×C₄⋊C₄	—	53	1	no	—
1508	C₂×C₄⋊C₄	—	53	1	no	—
1509	C₂×C₄⋊C₄	—	53	1	no	—
1510	C₂×C₄⋊C₄	—	53	1	no	—
1511	C₂×C₄⋊C₄	—	53	1	no	—
1512	C₂×C₄⋊C₄	—	53	1	no	—
1513	C₂×C₄⋊C₄	—	53	1	no	—
1514	C₂×C₄⋊C₄	—	53	1	no	—
1515	C₂×C₄⋊C₄	—	53	1	no	—
1516	C₂×C₄⋊C₄	—	53	1	no	—
1517	C₂×C₄⋊C₄	—	53	1	no	—
1518	C₂×C₄⋊C₄	—	53	1	no	—
1519	C₂×C₄⋊C₄	—	53	1	no	—
1520	C₂×C₄⋊C₄	—	53	8	no	—
1521	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1522	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1523	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1524	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1525	C₂×C₂²⋊C₄	—	53	1	no	—
1526	C₂×C₂²⋊C₄	—	53	1	no	—
1527	C₂×C₂²⋊C₄	—	53	1	no	—
1528	C₂×C₂²⋊C₄	—	53	1	no	—
1529	C₂×C₂²⋊C₄	—	53	1	no	—
1530	C₂×C₂²⋊C₄	—	53	1	no	—
1531	C₂×C₂²⋊C₄	—	53	1	no	—
1532	C₂×C₂²⋊C₄	—	53	1	no	—
1533	C₂×C₂²⋊C₄	—	53	1	no	—
1534	C₂×C₂²⋊C₄	—	53	1	no	—
1535	C₂×C₂²⋊C₄	—	53	1	no	—
1536	C₂×C₂²⋊C₄	—	53	8	no	—
1537	C₂×C₂²⋊C₄	—	53	8	no	—
1538	C₂×C₂²⋊C₄	—	53	8	no	—
1539	C₂×C₂²⋊C₄	—	53	1	no	—
1540	C₂×C₂²⋊C₄	—	53	1	no	—
1541	C₂×C₂²⋊C₄	—	53	1	no	—
1542	C₂×C₂²⋊C₄	—	53	1	no	—
1543	C₂×C₂²⋊C₄	—	53	1	no	—
1544	C₂×C₂²⋊C₄	—	53	1	no	—
1545	C₂×C₂²⋊C₄	—	53	1	no	—
1546	C₂×C₂²⋊C₄	—	53	1	no	—
1547	C₂×C₂²⋊C₄	—	53	1	no	—
1548	C₂×C₂²⋊C₄	—	53	1	no	—
1549	C₂×C₂²⋊C₄	—	53	1	no	—
1550	C₂×C₂²⋊C₄	—	53	1	no	—
1551	C₂×C₂²⋊C₄	—	53	1	no	—
1552	C₂×C₂²⋊C₄	—	53	1	no	—
1553	C₂×C₂²⋊C₄	—	53	1	no	—
1554	C₂×C₂²⋊C₄	—	53	8	no	—
1555	C₂×C₂²⋊C₄	—	53	1	no	—
1556	C₂×C₂²⋊C₄	—	53	1	no	—
1557	C₂×C₂²⋊C₄	—	53	1	no	—
1558	C₂×C₂²⋊C₄	—	53	1	no	—
1559	C₂×C₂²⋊C₄	—	53	1	no	—
1560	C₂×C₂²⋊C₄	—	53	1	no	—
1561	C₂×C₂²⋊C₄	—	53	1	no	—
1562	C₂×C₂²⋊C₄	—	53	1	no	—
1563	C₂×C₂²⋊C₄	—	53	8	no	—
1564	C₂×C₂²⋊C₄	—	53	8	no	—
1565	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1566	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1567	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1568	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1569	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1570	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1571	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1572	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	—
1573	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	—
1574	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1575	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1576	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1577	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1578	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1579	C₂×C₄²	—	53	1	no	—
1580	C₂×C₄²	—	53	1	no	—
1581	C₂×C₄²	—	53	1	no	—
1582	C₂×C₄²	—	53	1	no	—
1583	C₂×C₄²	—	53	1	no	—
1584	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1585	C₂⁴	—	2	4	no	—
1586	C₂⁴	—	2	4	no	—
1587	C₂⁴	—	2	4	no	—
1588	C₂⁴	—	4	2	no	—
1589	C₂⁴	—	4	2	no	—
1590	C₂⁴	—	4	2	no	—
1591	C₂⁴	—	53	1	no	—
1592	C₂⁴	—	53	1	no	—
1593	C₂⁴	—	53	1	no	—
1594	C₂⁴	—	53	4	no	—
1595	C₂⁴	—	106	4	no	—
1596	C₂⁴	—	212	2	no	—
1597	C₂⁴	—	212	2	no	—
1598	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1599	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1600	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1601	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1602	C₂⁴	C₂³×D₅₃	1	4	yes	—
1603	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1604	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1605	C₂⁴	C₂³×D₅₃	1	4	yes	—
1606	#41	—	4	16	no	—
1607	#41	—	212	16	no	—
1608	#41	—	212	16	no	—
1609	#41	—	212	16	no	—
1610	#41	—	212	16	no	—
1611	#41	—	212	16	no	—
1612	#41	—	212	16	no	—
1613	C₂×Q₈	—	4	2	no	—
1614	C₂×Q₈	—	53	4	no	—
1615	C₂×Q₈	—	53	4	no	—
1616	C₂×Q₈	—	53	4	no	—
1617	C₂×Q₈	—	53	4	no	—
1618	C₂×Q₈	—	53	4	no	—
1619	C₂×Q₈	—	53	4	no	—
1620	C₂×Q₈	—	53	4	no	—
1621	C₂×Q₈	—	53	4	no	—
1622	C₂×Q₈	—	106	4	no	—
1623	C₂×Q₈	—	106	4	no	—
1624	C₂×Q₈	—	212	2	no	—
1625	C₂×Q₈	—	212	2	no	—
1626	C₂×Q₈	—	212	2	no	—
1627	C₂×Q₈	—	212	2	no	—
1628	C₂×Q₈	—	212	2	no	—
1629	C₂×Q₈	—	212	2	no	—
1630	C₂×Q₈	—	212	16	no	—
1631	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1632	C₂×D₄	—	2	4	no	—
1633	C₂×D₄	—	2	4	no	—
1634	C₂×D₄	—	2	4	no	—
1635	C₂×D₄	—	2	4	no	—
1636	C₂×D₄	—	4	2	no	—
1637	C₂×D₄	—	4	2	no	—
1638	C₂×D₄	—	4	2	no	—
1639	C₂×D₄	—	4	2	no	—
1640	C₂×D₄	—	4	2	no	—
1641	C₂×D₄	—	4	16	no	—
1642	C₂×D₄	—	53	4	no	—
1643	C₂×D₄	—	53	4	no	—
1644	C₂×D₄	—	53	4	no	—
1645	C₂×D₄	—	53	4	no	—
1646	C₂×D₄	—	53	4	no	—
1647	C₂×D₄	—	53	4	no	—
1648	C₂×D₄	—	53	4	no	—
1649	C₂×D₄	—	53	4	no	—
1650	C₂×D₄	—	53	4	no	—
1651	C₂×D₄	—	53	4	no	—
1652	C₂×D₄	—	53	4	no	—
1653	C₂×D₄	—	53	4	no	—
1654	C₂×D₄	—	53	4	no	—
1655	C₂×D₄	—	53	4	no	—
1656	C₂×D₄	—	53	4	no	—
1657	C₂×D₄	—	53	4	no	—
1658	C₂×D₄	—	53	4	no	—
1659	C₂×D₄	—	53	4	no	—
1660	C₂×D₄	—	106	4	no	—
1661	C₂×D₄	—	106	4	no	—
1662	C₂×D₄	—	106	4	no	—
1663	C₂×D₄	—	106	4	no	—
1664	C₂×D₄	—	106	4	no	—
1665	C₂×D₄	—	106	4	no	—
1666	C₂×D₄	—	212	2	no	—
1667	C₂×D₄	—	212	2	no	—
1668	C₂×D₄	—	212	16	no	—
1669	C₂×D₄	—	212	2	no	—
1670	C₂×D₄	—	212	2	no	—
1671	C₂×D₄	—	212	2	no	—
1672	C₂×D₄	—	212	2	no	—
1673	C₂×D₄	—	212	2	no	—
1674	C₂×D₄	—	212	2	no	—
1675	C₂×D₄	—	212	2	no	—
1676	C₂×D₄	—	212	2	no	—
1677	C₂×D₄	—	212	2	no	—
1678	C₂×D₄	—	212	2	no	—
1679	C₂×D₄	—	212	16	no	—
1680	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1681	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1682	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1683	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1684	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1685	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1686	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1687	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1688	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1689	C₂²×C₄	—	2	4	no	—
1690	C₂²×C₄	—	4	2	no	—
1691	C₂²×C₄	—	4	2	no	—
1692	C₂²×C₄	—	4	2	no	—
1693	C₂²×C₄	—	4	2	no	—
1694	C₂²×C₄	—	4	2	no	—
1695	C₂²×C₄	—	53	1	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	1	no	—
1702	C₂²×C₄	—	53	1	no	—
1703	C₂²×C₄	—	53	1	no	—
1704	C₂²×C₄	—	53	1	no	—
1705	C₂²×C₄	—	53	1	no	—
1706	C₂²×C₄	—	53	1	no	—
1707	C₂²×C₄	—	53	1	no	—
1708	C₂²×C₄	—	53	1	no	—
1709	C₂²×C₄	—	53	1	no	—
1710	C₂²×C₄	—	53	1	no	—
1711	C₂²×C₄	—	53	1	no	—
1712	C₂²×C₄	—	53	1	no	—
1713	C₂²×C₄	—	53	4	no	—
1714	C₂²×C₄	—	53	4	no	—
1715	C₂²×C₄	—	53	4	no	—
1716	C₂²×C₄	—	53	4	no	—
1717	C₂²×C₄	—	53	4	no	—
1718	C₂²×C₄	—	53	4	no	—
1719	C₂²×C₄	—	53	4	no	—
1720	C₂²×C₄	—	53	4	no	—
1721	C₂²×C₄	—	53	4	no	—
1722	C₂²×C₄	—	53	4	no	—
1723	C₂²×C₄	—	53	4	no	—
1724	C₂²×C₄	—	53	4	no	—
1725	C₂²×C₄	—	53	4	no	—
1726	C₂²×C₄	—	53	4	no	—
1727	C₂²×C₄	—	53	4	no	—
1728	C₂²×C₄	—	106	4	no	—
1729	C₂²×C₄	—	106	4	no	—
1730	C₂²×C₄	—	106	4	no	—
1731	C₂²×C₄	—	106	4	no	—
1732	C₂²×C₄	—	106	4	no	—
1733	C₂²×C₄	—	106	4	no	—
1734	C₂²×C₄	—	212	2	no	—
1735	C₂²×C₄	—	212	2	no	—
1736	C₂²×C₄	—	212	2	no	—
1737	C₂²×C₄	—	212	2	no	—
1738	C₂²×C₄	—	212	2	no	—
1739	C₂²×C₄	—	212	2	no	—
1740	C₂²×C₄	—	212	16	no	—
1741	C₂²×C₄	—	212	2	no	—
1742	C₂²×C₄	—	212	2	no	—
1743	C₂²×C₄	—	212	2	no	—
1744	C₂²×C₄	—	212	2	no	—
1745	C₂²×C₄	—	212	2	no	—
1746	C₂²×C₄	—	212	2	no	—
1747	C₂²×C₄	—	212	2	no	—
1748	C₂²×C₄	—	212	2	no	—
1749	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1750	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1751	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1752	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1753	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1754	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1755	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1756	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1757	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1758	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1759	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1760	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1761	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1762	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1763	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1764	C₄⋊C₄	—	53	4	no	—
1765	C₄⋊C₄	—	53	4	no	—
1766	C₄⋊C₄	—	53	4	no	—
1767	C₄⋊C₄	—	53	4	no	—
1768	C₄⋊C₄	—	53	4	no	—
1769	C₄⋊C₄	—	53	4	no	—
1770	C₄⋊C₄	—	53	4	no	—
1771	C₄⋊C₄	—	53	4	no	—
1772	C₄⋊C₄	—	53	4	no	—
1773	C₄⋊C₄	—	53	4	no	—
1774	C₄⋊C₄	—	53	4	no	—
1775	C₄⋊C₄	—	53	4	no	—
1776	C₄⋊C₄	—	53	4	no	—
1777	C₄⋊C₄	—	53	4	no	—
1778	C₄⋊C₄	—	53	4	no	—
1779	C₄⋊C₄	—	53	4	no	—
1780	C₄⋊C₄	—	53	4	no	—
1781	C₄⋊C₄	—	53	4	no	—
1782	C₄⋊C₄	—	53	4	no	—
1783	C₄⋊C₄	—	53	4	no	—
1784	C₄⋊C₄	—	53	4	no	—
1785	C₄⋊C₄	—	53	4	no	—
1786	C₄⋊C₄	—	53	4	no	—
1787	C₄⋊C₄	—	53	4	no	—
1788	C₄⋊C₄	—	53	4	no	—
1789	C₄⋊C₄	—	53	4	no	—
1790	C₄⋊C₄	—	53	4	no	—
1791	C₄⋊C₄	—	53	4	no	—
1792	C₄⋊C₄	—	53	4	no	—
1793	C₄⋊C₄	—	53	4	no	—
1794	C₄⋊C₄	—	53	4	no	—
1795	C₄⋊C₄	—	53	4	no	—
1796	C₄⋊C₄	—	53	4	no	—
1797	C₄⋊C₄	—	53	4	no	—
1798	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1799	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1800	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1801	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1802	C₂²⋊C₄	—	53	4	no	—
1803	C₂²⋊C₄	—	53	4	no	—
1804	C₂²⋊C₄	—	53	4	no	—
1805	C₂²⋊C₄	—	53	4	no	—
1806	C₂²⋊C₄	—	53	4	no	—
1807	C₂²⋊C₄	—	53	4	no	—
1808	C₂²⋊C₄	—	53	4	no	—
1809	C₂²⋊C₄	—	53	4	no	—
1810	C₂²⋊C₄	—	53	4	no	—
1811	C₂²⋊C₄	—	53	4	no	—
1812	C₂²⋊C₄	—	53	4	no	—
1813	C₂²⋊C₄	—	53	4	no	—
1814	C₂²⋊C₄	—	53	4	no	—
1815	C₂²⋊C₄	—	53	4	no	—
1816	C₂²⋊C₄	—	53	4	no	—
1817	C₂²⋊C₄	—	53	4	no	—
1818	C₂²⋊C₄	—	53	4	no	—
1819	C₂²⋊C₄	—	53	4	no	—
1820	C₂²⋊C₄	—	53	4	no	—
1821	C₂²⋊C₄	—	53	4	no	—
1822	C₂²⋊C₄	—	53	4	no	—
1823	C₂²⋊C₄	—	53	4	no	—
1824	C₂²⋊C₄	—	53	4	no	—
1825	C₂²⋊C₄	—	53	4	no	—
1826	C₂²⋊C₄	—	53	4	no	—
1827	C₂²⋊C₄	—	53	4	no	—
1828	C₂²⋊C₄	—	53	4	no	—
1829	C₂²⋊C₄	—	53	4	no	—
1830	C₂²⋊C₄	—	53	4	no	—
1831	C₂²⋊C₄	—	53	4	no	—
1832	C₂²⋊C₄	—	53	4	no	—
1833	C₂²⋊C₄	—	53	4	no	—
1834	C₂²⋊C₄	—	53	4	no	—
1835	C₂²⋊C₄	—	53	4	no	—
1836	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1837	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1838	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1839	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1840	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1841	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1842	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1843	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1844	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1845	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1846	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1847	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1848	C₄²	—	53	4	no	—
1849	C₄²	—	53	4	no	—
1850	C₄²	—	53	4	no	—
1851	C₄²	—	53	4	no	—
1852	C₄²	—	53	4	no	—
1853	C₄²	C₂³×D₅₃	1	4	yes	—
1854	C₂³	—	2	2	no	—
1855	C₂³	—	2	2	no	—
1856	C₂³	—	2	2	no	—
1857	C₂³	—	2	2	no	—
1858	C₂³	—	2	2	no	—
1859	C₂³	—	2	2	no	—
1860	C₂³	—	2	2	no	—
1861	C₂³	—	2	2	no	—
1862	C₂³	—	2	2	no	—
1863	C₂³	—	2	2	no	—
1864	C₂³	—	2	2	no	—
1865	C₂³	—	2	8	no	—
1866	C₂³	—	2	2	no	—
1867	C₂³	—	2	2	no	—
1868	C₂³	—	2	8	no	—
1869	C₂³	—	2	2	no	—
1870	C₂³	—	2	2	no	—
1871	C₂³	—	2	2	no	—
1872	C₂³	—	2	8	no	—
1873	C₂³	—	4	4	no	—
1874	C₂³	—	4	4	no	—
1875	C₂³	—	4	4	no	—
1876	C₂³	—	4	16	no	—
1877	C₂³	—	8	8	no	—
1878	C₂³	—	53	2	no	—
1879	C₂³	—	53	2	no	—
1880	C₂³	—	53	2	no	—
1881	C₂³	—	106	8	no	—
1882	C₂³	—	106	2	no	—
1883	C₂³	—	106	2	no	—
1884	C₂³	—	106	2	no	—
1885	C₂³	—	106	2	no	—
1886	C₂³	—	106	2	no	—
1887	C₂³	—	106	2	no	—
1888	C₂³	—	106	2	no	—
1889	C₂³	—	106	2	no	—
1890	C₂³	—	106	2	no	—
1891	C₂³	—	424	8	no	—
1892	C₂³	—	212	4	no	—
1893	C₂³	—	212	4	no	—
1894	C₂³	#13133262	1	4	yes	—
1895	C₂³	#13133264	1	4	yes	—
1896	C₂³	C₂⁴×D₅₃	1	2	yes	—
1897	C₂³	C₂⁴×D₅₃	1	2	yes	—
1898	C₂³	C₂⁴×D₅₃	1	2	yes	—
1899	C₂³	C₂⁴×D₅₃	1	2	yes	—
1900	C₂³	C₂⁴×D₅₃	1	2	yes	—
1901	C₂³	C₂⁴×D₅₃	1	2	yes	—
1902	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1903	Q₈	—	4	4	no	—
1904	Q₈	—	106	8	no	—
1905	Q₈	—	106	8	no	—
1906	Q₈	—	212	4	no	—
1907	Q₈	—	212	4	no	—
1908	Q₈	—	212	4	no	—
1909	Q₈	—	212	4	no	—
1910	Q₈	—	212	4	no	—
1911	Q₈	—	212	4	no	—
1912	D₄	—	2	8	no	—
1913	D₄	—	2	8	no	—
1914	D₄	—	2	8	no	—
1915	D₄	—	2	8	no	—
1916	D₄	—	4	4	no	—
1917	D₄	—	4	4	no	—
1918	D₄	—	4	4	no	—
1919	D₄	—	4	4	no	—
1920	D₄	—	4	4	no	—
1921	D₄	—	106	8	no	—
1922	D₄	—	106	8	no	—
1923	D₄	—	106	8	no	—
1924	D₄	—	106	8	no	—
1925	D₄	—	106	8	no	—
1926	D₄	—	106	8	no	—
1927	D₄	—	212	4	no	—
1928	D₄	—	212	4	no	—
1929	D₄	—	212	4	no	—
1930	D₄	—	212	4	no	—
1931	D₄	—	212	4	no	—
1932	D₄	—	212	4	no	—
1933	D₄	—	212	4	no	—
1934	D₄	—	212	4	no	—
1935	D₄	—	212	4	no	—
1936	D₄	—	212	4	no	—
1937	D₄	—	212	4	no	—
1938	D₄	—	212	4	no	—
1939	C₂×C₄	—	2	2	no	—
1940	C₂×C₄	—	2	2	no	—
1941	C₂×C₄	—	2	2	no	—
1942	C₂×C₄	—	2	2	no	—
1943	C₂×C₄	—	2	2	no	—
1944	C₂×C₄	—	2	8	no	—
1945	C₂×C₄	—	2	2	no	—
1946	C₂×C₄	—	2	2	no	—
1947	C₂×C₄	—	2	2	no	—
1948	C₂×C₄	—	2	2	no	—
1949	C₂×C₄	—	4	4	no	—
1950	C₂×C₄	—	4	4	no	—
1951	C₂×C₄	—	4	4	no	—
1952	C₂×C₄	—	4	4	no	—
1953	C₂×C₄	—	4	4	no	—
1954	C₂×C₄	—	53	4	no	—
1955	C₂×C₄	—	53	2	no	—
1956	C₂×C₄	—	53	2	no	—
1957	C₂×C₄	—	53	2	no	—
1958	C₂×C₄	—	53	2	no	—
1959	C₂×C₄	—	53	2	no	—
1960	C₂×C₄	—	53	2	no	—
1961	C₂×C₄	—	53	2	no	—
1962	C₂×C₄	—	53	2	no	—
1963	C₂×C₄	—	53	2	no	—
1964	C₂×C₄	—	53	2	no	—
1965	C₂×C₄	—	53	2	no	—
1966	C₂×C₄	—	53	2	no	—
1967	C₂×C₄	—	53	2	no	—
1968	C₂×C₄	—	106	8	no	—
1969	C₂×C₄	—	106	8	no	—
1970	C₂×C₄	—	106	8	no	—
1971	C₂×C₄	—	106	8	no	—
1972	C₂×C₄	—	106	8	no	—
1973	C₂×C₄	—	106	2	no	—
1974	C₂×C₄	—	106	2	no	—
1975	C₂×C₄	—	106	2	no	—
1976	C₂×C₄	—	106	2	no	—
1977	C₂×C₄	—	106	2	no	—
1978	C₂×C₄	—	106	2	no	—
1979	C₂×C₄	—	106	2	no	—
1980	C₂×C₄	—	106	2	no	—
1981	C₂×C₄	—	106	8	no	—
1982	C₂×C₄	—	106	2	no	—
1983	C₂×C₄	—	106	2	no	—
1984	C₂×C₄	—	106	2	no	—
1985	C₂×C₄	—	106	2	no	—
1986	C₂×C₄	—	212	4	no	—
1987	C₂×C₄	—	212	4	no	—
1988	C₂×C₄	—	212	4	no	—
1989	C₂×C₄	—	212	4	no	—
1990	C₂×C₄	—	212	4	no	—
1991	C₂×C₄	—	212	4	no	—
1992	C₂×C₄	—	212	4	no	—
1993	C₂×C₄	—	212	4	no	—
1994	C₂×C₄	—	212	4	no	—
1995	C₂×C₄	—	212	4	no	—
1996	C₂×C₄	—	212	4	no	—
1997	C₂×C₄	—	212	4	no	—
1998	C₂×C₄	—	212	4	no	—
1999	C₂×C₄	—	212	4	no	—
2000	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2001	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2002	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2003	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2004	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2005	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2006	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2007	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2008	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2009	C₂²	—	2	8	no	—
2010	C₂²	—	2	8	no	—
2011	C₂²	—	2	2	no	—
2012	C₂²	—	2	2	no	—
2013	C₂²	—	2	2	no	—
2014	C₂²	—	2	2	no	—
2015	C₂²	—	2	2	no	—
2016	C₂²	—	2	2	no	—
2017	C₂²	—	2	2	no	—
2018	C₂²	—	2	2	no	—
2019	C₂²	—	2	2	no	—
2020	C₂²	—	2	2	no	—
2021	C₂²	—	2	2	no	—
2022	C₂²	—	2	2	no	—
2023	C₂²	—	2	2	no	—
2024	C₂²	—	2	2	no	—
2025	C₂²	—	2	2	no	—
2026	C₂²	—	2	2	no	—
2027	C₂²	—	4	16	no	—
2028	C₂²	—	4	4	no	—
2029	C₂²	—	4	4	no	—
2030	C₂²	—	4	4	no	—
2031	C₂²	—	4	4	no	—
2032	C₂²	—	8	8	no	—
2033	C₂²	—	106	2	no	—
2034	C₂²	—	106	2	no	—
2035	C₂²	—	106	2	no	—
2036	C₂²	—	106	2	no	—
2037	C₂²	—	106	2	no	—
2038	C₂²	—	106	2	no	—
2039	C₂²	—	106	2	no	—
2040	C₂²	—	106	2	no	—
2041	C₂²	—	106	2	no	—
2042	C₂²	—	424	8	no	—
2043	C₂²	—	212	4	no	—
2044	C₂²	—	212	4	no	—
2045	C₂²	—	212	4	no	—
2046	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2047	C₂²	C₂×#13133262	1	4	yes	—
2048	C₂²	C₂×#13133262	1	2	yes	—
2049	C₂²	C₂×#13133264	1	4	yes	—
2050	C₂²	C₂×#13133264	1	2	yes	—
2051	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2052	C₄	—	2	2	no	—
2053	C₄	—	2	2	no	—
2054	C₄	—	2	2	no	—
2055	C₄	—	2	2	no	—
2056	C₄	—	2	2	no	—
2057	C₄	—	2	2	no	—
2058	C₄	—	2	2	no	—
2059	C₄	—	2	2	no	—
2060	C₄	—	2	2	no	—
2061	C₄	—	53	4	no	—
2062	C₄	—	106	2	no	—
2063	C₄	—	106	2	no	—
2064	C₄	—	106	2	no	—
2065	C₄	—	106	2	no	—
2066	C₄	—	106	2	no	—
2067	C₄	—	106	2	no	—
2068	C₄	—	106	2	no	—
2069	C₄	—	106	2	no	—
2070	C₄	—	106	2	no	—
2071	C₄	—	106	2	no	—
2072	C₄	—	106	2	no	—
2073	C₄	—	106	2	no	—
2074	C₂	—	2	4	no	—
2075	C₂	—	2	4	no	—
2076	C₂	—	4	2	no	—
2077	C₂	—	4	2	no	—
2078	C₂	—	4	2	no	—
2079	C₂	—	4	2	no	—
2080	C₂	—	212	2	no	—
2081	C₂	—	212	2	no	—
2082	C₂	—	212	2	no	—
2083	C₂	#20288930	1	4	yes	direct product factor
2084	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2085	C₂	C₂²×#13133262	1	1	yes	characteristic
2086	C₂	C₂²×#13133264	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#546	C₂
socle	C₂³×C₅₃	C₂⁵
hypercenter	C₂×#546	D₅₃
hypocenter	C₅₃	C₂×#3536
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. #20288930	C₂	direct (N × H)
2. C₂×#16811370	C₂	semidirect
3. C₂×#16811368	C₂	semidirect
4. C₂×#16811368	C₂	semidirect
5. C₂×#16811367	C₂	semidirect
6. C₂×#16811332	C₂	semidirect
7. C₂×#16811327	C₂	semidirect
8. C₂×#16811282	C₂	semidirect
9. C₂×#16811279	C₂	semidirect
10. C₂×#16811272	C₂	semidirect
11. C₂×#16811271	C₂	semidirect
12. C₂×#16811267	C₂	semidirect
13. C₂×#16811263	C₂	semidirect
14. C₂×#16811263	C₂	semidirect
15. C₂×#16811260	C₂	semidirect
16. C₂×#16811260	C₂	semidirect
17. C₂×#16811249	C₂	semidirect
18. C₂×#16811248	C₂	semidirect
19. C₂×#16811241	C₂	semidirect
20. C₂×#16811237	C₂	semidirect
21. C₂×#16811217	C₂	semidirect
22. C₂×#16811215	C₂	semidirect
23. C₂×#16811208	C₂	semidirect
24. C₂×#16811206	C₂	semidirect
25. C₂×#16811202	C₂	semidirect
26. C₂×#16811201	C₂	semidirect
27. C₂×#16811200	C₂	semidirect
28. C₂×#16811200	C₂	semidirect
29. C₂×#16811129	C₂	semidirect
30. C₂²×#13133194	C₂	semidirect
31. C₂²×#13133189	C₂	semidirect
32. C₂×C₅₃×#546	C₂	semidirect
33. C₂²×#11719945	C₂²	semidirect
34. C₂²×#11719945	C₂²	semidirect
35. C₂²×#11719947	C₂²	semidirect
36. C₂²×#11719947	C₂²	semidirect
37. C₂²×#11719947	C₂²	semidirect
38. C₂²×#11719947	C₂²	semidirect
39. C₂³×Dic₁₀₆	C₂²	semidirect
43. #16811370	C₂²	semidirect
44. #16811368	C₂²	semidirect
45. #16811368	C₂²	semidirect
46. #16811367	C₂²	semidirect
47. #16811332	C₂²	semidirect
48. #16811327	C₂²	semidirect
49. #16811282	C₂²	semidirect
50. #16811279	C₂²	semidirect
51. #16811272	C₂²	semidirect
52. #16811271	C₂²	semidirect
53. #16811267	C₂²	semidirect
54. #16811263	C₂²	semidirect
55. #16811263	C₂²	semidirect
56. #16811260	C₂²	semidirect
57. #16811260	C₂²	semidirect
58. #16811249	C₂²	semidirect
59. #16811248	C₂²	semidirect
60. #16811241	C₂²	semidirect
61. #16811237	C₂²	semidirect
62. #16811217	C₂²	semidirect
63. #16811215	C₂²	semidirect
64. #16811208	C₂²	semidirect
65. #16811206	C₂²	semidirect
66. #16811202	C₂²	semidirect
67. #16811201	C₂²	semidirect
68. #16811200	C₂²	semidirect
69. #16811200	C₂²	semidirect
70. C₂×#13133216	C₂²	semidirect
71. C₂×#13133215	C₂²	semidirect
72. C₂×#13133212	C₂²	semidirect
73. C₂×#13133211	C₂²	semidirect
74. C₂×#13133210	C₂²	semidirect
75. C₂×#13133210	C₂²	semidirect
76. C₂×#13133209	C₂²	semidirect
77. C₂×#13133208	C₂²	semidirect
78. C₂×#13133207	C₂²	semidirect
79. C₂×#13133207	C₂²	semidirect
80. C₂×#13133205	C₂²	semidirect
81. C₂×#13133204	C₂²	semidirect
82. C₂×#13133204	C₂²	semidirect
83. C₂×#13133203	C₂²	semidirect
84. C₂×#13133203	C₂²	semidirect
85. C₂×#13133203	C₂²	semidirect
86. C₂×#13133203	C₂²	semidirect
87. C₂×#13133203	C₂²	semidirect
88. C₂×#13133203	C₂²	semidirect
89. #16811129	C₂²	semidirect
90. C₂×#13133202	C₂²	semidirect
91. C₂×#13133201	C₂²	semidirect
92. C₂×#13133201	C₂²	semidirect
93. C₂×#13133201	C₂²	semidirect
94. C₂×#13133200	C₂²	semidirect
95. C₂×#13133200	C₂²	semidirect
96. C₂×#13133200	C₂²	semidirect
97. C₂×#13133199	C₂²	semidirect
98. C₂×#13133199	C₂²	semidirect
99. C₂×#13133199	C₂²	semidirect
100. C₂×#13133199	C₂²	semidirect
101. C₂×#13133199	C₂²	semidirect
102. C₂×#13133198	C₂²	semidirect
103. C₂×#13133198	C₂²	semidirect
104. C₂×#13133198	C₂²	semidirect
105. C₂×#13133198	C₂²	semidirect
106. C₂×#13133197	C₂²	semidirect
107. C₂×#13133197	C₂²	semidirect
109. C₂×#13133196	C₂²	semidirect
110. C₂×#13133196	C₂²	semidirect
111. C₂×#13133196	C₂²	semidirect
112. C₂×#13133196	C₂²	semidirect
113. C₂×#13133196	C₂²	semidirect
114. C₂×#13133195	C₂²	semidirect
115. C₂×#13133195	C₂²	semidirect
116. C₂×#13133195	C₂²	semidirect
117. C₂×#13133195	C₂²	semidirect
118. C₂×#13133195	C₂²	semidirect
119. C₂×#13133195	C₂²	semidirect
127. C₂×#13133194	C₂²	semidirect
128. C₂×#13133194	C₂²	semidirect
129. C₂×#13133194	C₂²	semidirect
130. C₂×#13133194	C₂²	semidirect
131. C₂×#13133194	C₂²	semidirect
132. C₂×#13133194	C₂²	semidirect
133. C₂×#13133194	C₂²	semidirect
134. C₂×#13133194	C₂²	semidirect
135. C₂×#13133194	C₂²	semidirect
136. C₂×#13133194	C₂²	semidirect
137. C₂×#13133194	C₂²	semidirect
138. C₂×#13133194	C₂²	semidirect
139. C₂×#13133193	C₂²	semidirect
140. C₂×#13133193	C₂²	semidirect
141. C₂×#13133193	C₂²	semidirect
142. C₂×#13133191	C₂²	semidirect
143. C₂×#13133191	C₂²	semidirect
144. C₂×#13133191	C₂²	semidirect
145. C₂×#13133190	C₂²	semidirect
146. C₂×#13133190	C₂²	semidirect
147. C₂×#13133190	C₂²	semidirect
148. C₂×#13133190	C₂²	semidirect
149. C₂×#13133190	C₂²	semidirect
159. C₂×#13133189	C₂²	semidirect
160. C₂×#13133189	C₂²	semidirect
161. C₂×#13133189	C₂²	semidirect
162. C₂×#13133189	C₂²	semidirect
163. C₂×#13133189	C₂²	semidirect
164. C₂×#13133189	C₂²	semidirect
165. C₂×#13133189	C₂²	semidirect
166. C₂×#13133189	C₂²	semidirect
167. C₂×#13133189	C₂²	semidirect
168. C₂×#13133188	C₂²	semidirect
169. C₂×#13133188	C₂²	semidirect
170. C₂×#13133188	C₂²	semidirect
171. C₂×#13133188	C₂²	semidirect
176. C₂×C₄×Dic₁₀₆	C₂²	semidirect
177. C₂×#13133182	C₂²	semidirect
180. C₂×D₄×Dic₅₃	C₂²	semidirect
181. C₂×D₄×Dic₅₃	C₂²	semidirect
183. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
184. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
187. C₂×#13133177	C₂²	semidirect
188. C₂×#13133177	C₂²	semidirect
189. C₂×#13133177	C₂²	semidirect
190. C₂×#13133173	C₂²	semidirect
191. C₂²×C₄⋊Dic₅₃	C₂²	semidirect
193. C₂²×#11719919	C₂²	semidirect
194. C₂²×#11719919	C₂²	semidirect
195. C₂²×#11719919	C₂²	semidirect
196. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
203. C₂²×#41×C₅₃	C₂²	semidirect
205. C₅₃×#546	C₂²	semidirect
206. C₂×#124×C₅₃	C₂²	semidirect
207. C₂×#123×C₅₃	C₂²	semidirect
208. C₂×#123×C₅₃	C₂²	semidirect
210. C₂×#121×C₅₃	C₂²	semidirect
211. C₂×#121×C₅₃	C₂²	semidirect
212. C₂×#121×C₅₃	C₂²	semidirect
216. C₂×C₄×D₄×C₅₃	C₂²	semidirect
222. C₂×#11719945	C₂³	semidirect
223. C₂×#11719945	C₂³	semidirect
228. C₂×#11719947	C₂³	semidirect
229. C₂×#11719947	C₂³	semidirect
230. C₂×#11719947	C₂³	semidirect
231. C₂×#11719947	C₂³	semidirect
241. C₂²×Dic₁₀₆	C₂³	semidirect
286. #13133216	C₂³	semidirect
287. #13133215	C₂³	semidirect
288. #13133212	C₂³	semidirect
289. #13133211	C₂³	semidirect
290. #13133210	C₂³	semidirect
291. #13133210	C₂³	semidirect
292. #13133209	C₂³	semidirect
293. #13133208	C₂³	semidirect
294. #13133207	C₂³	semidirect
295. #13133207	C₂³	semidirect
296. #13133205	C₂³	semidirect
297. #13133204	C₂³	semidirect
298. #13133204	C₂³	semidirect
299. #13133203	C₂³	semidirect
300. #13133203	C₂³	semidirect
301. #13133203	C₂³	semidirect
302. #13133203	C₂³	semidirect
303. #13133203	C₂³	semidirect
304. #13133203	C₂³	semidirect
305. #13133202	C₂³	semidirect
306. #13133201	C₂³	semidirect
307. #13133201	C₂³	semidirect
308. #13133201	C₂³	semidirect
309. #13133200	C₂³	semidirect
310. #13133200	C₂³	semidirect
311. #13133200	C₂³	semidirect
312. #13133199	C₂³	semidirect
313. #13133199	C₂³	semidirect
314. #13133199	C₂³	semidirect
315. #13133199	C₂³	semidirect
316. #13133199	C₂³	semidirect
317. #13133198	C₂³	semidirect
318. #13133198	C₂³	semidirect
319. #13133198	C₂³	semidirect
320. #13133198	C₂³	semidirect
321. #13133197	C₂³	semidirect
322. #13133197	C₂³	semidirect
324. #13133196	C₂³	semidirect
325. #13133196	C₂³	semidirect
326. #13133196	C₂³	semidirect
327. #13133196	C₂³	semidirect
328. #13133196	C₂³	semidirect
329. #13133195	C₂³	semidirect
330. #13133195	C₂³	semidirect
331. #13133195	C₂³	semidirect
332. #13133195	C₂³	semidirect
333. #13133195	C₂³	semidirect
334. #13133195	C₂³	semidirect
342. #13133194	C₂³	semidirect
343. #13133194	C₂³	semidirect
344. #13133194	C₂³	semidirect
345. #13133194	C₂³	semidirect
346. #13133194	C₂³	semidirect
347. #13133194	C₂³	semidirect
348. #13133194	C₂³	semidirect
349. #13133194	C₂³	semidirect
350. #13133194	C₂³	semidirect
351. #13133194	C₂³	semidirect
352. #13133194	C₂³	semidirect
353. #13133193	C₂³	semidirect
354. #13133193	C₂³	semidirect
355. #13133193	C₂³	semidirect
356. #13133191	C₂³	semidirect
357. #13133191	C₂³	semidirect
358. #13133191	C₂³	semidirect
359. #13133190	C₂³	semidirect
360. #13133190	C₂³	semidirect
361. #13133190	C₂³	semidirect
362. #13133190	C₂³	semidirect
363. #13133190	C₂³	semidirect
373. #13133189	C₂³	semidirect
374. #13133189	C₂³	semidirect
375. #13133189	C₂³	semidirect
376. #13133189	C₂³	semidirect
377. #13133189	C₂³	semidirect
378. #13133189	C₂³	semidirect
379. #13133189	C₂³	semidirect
380. #13133189	C₂³	semidirect
381. #13133188	C₂³	semidirect
382. #13133188	C₂³	semidirect
383. #13133188	C₂³	semidirect
384. #13133188	C₂³	semidirect
389. C₄×Dic₁₀₆	C₂³	semidirect
390. #13133182	C₂³	semidirect
393. D₄×Dic₅₃	C₂³	semidirect
394. D₄×Dic₅₃	C₂³	semidirect
396. C₄×C₂²⋊D₅₃	C₂³	semidirect
397. C₄×C₂²⋊D₅₃	C₂³	semidirect
400. #13133177	C₂³	semidirect
401. #13133177	C₂³	semidirect
402. #13133177	C₂³	semidirect
403. #13133173	C₂³	semidirect
414. C₂×C₄⋊Dic₅₃	C₂³	semidirect
440. C₂×#11719919	C₂³	semidirect
441. C₂×#11719919	C₂³	semidirect
442. C₂×#11719919	C₂³	semidirect
443. C₄⋊C₄×D₅₃	C₂³	semidirect
492. C₂×#41×C₅₃	C₂³	semidirect
511. #124×C₅₃	C₂³	semidirect
512. #123×C₅₃	C₂³	semidirect
513. #123×C₅₃	C₂³	semidirect
515. #121×C₅₃	C₂³	semidirect
516. #121×C₅₃	C₂³	semidirect
517. #121×C₅₃	C₂³	semidirect
521. C₄×D₄×C₅₃	C₂³	semidirect
1047. C₂×#546	D₅₃	semidirect
1069. C₂×C₅₃	#3536	semidirect
1082. C₂²×#41	C₂×D₅₃	semidirect
1103. #546	C₂×D₅₃	semidirect
1135. C₂×#124	C₂×D₅₃	semidirect
1153. C₂×#123	C₂×D₅₃	semidirect
1154. C₂×#123	C₂×D₅₃	semidirect
1222. C₂×#121	C₂×D₅₃	semidirect
1223. C₂×#121	C₂×D₅₃	semidirect
1224. C₂×#121	C₂×D₅₃	semidirect
1246. C₂×C₄×D₄	C₂×D₅₃	semidirect
1262. C₅₃	C₂×#3536	semidirect
1279. C₂×#41	C₂²×D₅₃	semidirect
1371. #124	C₂²×D₅₃	semidirect
1388. #123	C₂²×D₅₃	semidirect
1389. #123	C₂²×D₅₃	semidirect
1455. #121	C₂²×D₅₃	semidirect
1456. #121	C₂²×D₅₃	semidirect
1457. #121	C₂²×D₅₃	semidirect
1479. C₄×D₄	C₂²×D₅₃	semidirect
2083. C₂	#20288930	direct (N × H)

Maximal subgroups

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

subgroup	index
#20288930	2
C₂×#16811370	2
C₂×#16811368	2
C₂×#16811367	2
C₂×#16811332	2
C₂×#16811327	2
C₂×#16811282	2
C₂×#16811279	2
C₂×#16811272	2
C₂×#16811271	2
C₂×#16811267	2
C₂×#16811263	2
C₂×#16811260	2
C₂×#16811249	2
C₂×#16811248	2
C₂×#16811241	2
C₂×#16811237	2
C₂×#16811217	2
C₂×#16811215	2
C₂×#16811208	2
C₂×#16811206	2
C₂×#16811202	2
C₂×#16811201	2
C₂×#16811200	2
C₂×#16811129	2
C₂²×#13133194	2
C₂²×#13133189	2
C₂×C₅₃×#546	2
C₂×#3536	53

Subgroups — C2×#20288930 #28291311

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20288930 #28291311