Subgroups — C₂×#20288756 #28292101

Order 13568.

7910 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288756	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811340	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811329	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811327	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811310	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811305	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811301	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811300	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811298	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811296	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811286	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811283	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811279	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811271	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811265	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811262	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811243	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811241	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811221	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811215	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811214	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811179	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811156	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811132	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811131	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²×#13133195	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×C₂²⋊Q₈×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811104	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11719945	C₂²	1	1	yes	characteristic
34	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11719947	C₂²	1	1	yes	characteristic
36	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
37	C₂³×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
38	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
41	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
42	#16811340	C₂²	1	16	yes	complemented
43	#16811329	C₂²	1	16	yes	complemented
44	#16811327	C₂²	1	16	yes	complemented
45	#16811310	C₂²	1	16	yes	complemented
46	#16811305	C₂²	1	16	yes	complemented
47	#16811301	C₂²	1	16	yes	complemented
48	#16811300	C₂²	1	16	yes	complemented
49	#16811298	C₂²	1	16	yes	complemented
50	#16811296	C₂²	1	16	yes	complemented
51	#16811286	C₂²	1	16	yes	complemented
52	#16811283	C₂²	1	16	yes	complemented
53	#16811279	C₂²	1	16	yes	complemented
54	#16811271	C₂²	1	16	yes	complemented
55	#16811271	C₂²	1	16	yes	complemented
56	#16811265	C₂²	1	16	yes	complemented
57	#16811262	C₂²	1	16	yes	complemented
58	#16811243	C₂²	1	16	yes	complemented
59	#16811241	C₂²	1	16	yes	complemented
60	#16811221	C₂²	1	16	yes	complemented
61	#16811215	C₂²	1	16	yes	complemented
62	#16811214	C₂²	1	16	yes	complemented
63	#16811179	C₂²	1	16	yes	complemented
64	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
65	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
68	#16811156	C₂²	1	16	yes	complemented
69	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
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×#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×#13133210	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13133209	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133203	C₂²	1	1	yes	characteristic
85	C₂×#13133203	C₂²	1	1	yes	characteristic
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	#16811132	C₂²	1	16	yes	complemented
90	#16811131	C₂²	1	16	yes	complemented
91	C₂×#13133202	C₂²	1	1	yes	characteristic
92	C₂×#13133202	C₂²	1	1	yes	characteristic
93	C₂×#13133202	C₂²	1	1	yes	characteristic
94	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133199	C₂²	1	1	yes	characteristic
101	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13133198	C₂²	1	1	yes	characteristic
105	C₂×#13133197	C₂²	1	1	yes	characteristic
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, complemented
109	C₂×#13133195	C₂²	1	1	yes	characteristic
110	C₂×#13133195	C₂²	1	1	yes	characteristic
111	C₂×#13133195	C₂²	1	1	yes	characteristic
112	C₂×#13133195	C₂²	1	1	yes	characteristic
113	C₂×#13133195	C₂²	1	1	yes	characteristic
114	C₂×#13133195	C₂²	1	1	yes	characteristic
115	C₂×#13133195	C₂²	1	1	yes	characteristic
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×#13133195	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
122	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
123	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
124	C₂×#13133195	C₂²	1	16	yes	complemented
125	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
126	C₂×#13133194	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×#13133193	C₂²	1	1	yes	characteristic
132	C₂²⋊Q₈×D₅₃	C₂²	1	16	yes	complemented
133	C₂×#13133192	C₂²	1	1	yes	characteristic
134	C₂×#13133190	C₂²	1	1	yes	characteristic
135	C₂×#13133190	C₂²	1	1	yes	characteristic
136	C₂×#13133190	C₂²	1	1	yes	characteristic
137	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
138	C₂×#13133189	C₂²	1	1	yes	characteristic
139	C₂×#13133189	C₂²	1	1	yes	characteristic
140	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
141	C₂×#13133187	C₂²	1	1	yes	characteristic
142	C₂×#13133187	C₂²	1	1	yes	characteristic
143	C₂×#13133185	C₂²	1	1	yes	characteristic
144	C₂×#13133185	C₂²	1	1	yes	characteristic
145	#16811104	C₂²	1	16	yes	complemented
146	#16811102	C₂²	1	16	yes	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×#13133182	C₂²	1	1	yes	characteristic, complemented
153	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
154	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
155	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
156	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic
157	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
158	C₂×#13133179	C₂²	1	1	yes	characteristic
159	C₂×#13133179	C₂²	1	1	yes	characteristic
160	C₂×#13133179	C₂²	1	1	yes	characteristic
161	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
162	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
163	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
164	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
165	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
166	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
167	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
169	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133177	C₂²	1	1	yes	characteristic
171	C₂×#13133177	C₂²	1	1	yes	characteristic
172	C₂×#13133177	C₂²	1	1	yes	characteristic
173	C₂×#13133177	C₂²	1	1	yes	characteristic
174	C₂×#13133177	C₂²	1	1	yes	characteristic
175	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
177	C₄×D₄×D₅₃	C₂²	1	16	yes	complemented
178	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13133175	C₂²	1	1	yes	characteristic
180	C₂×#13133175	C₂²	1	1	yes	characteristic
181	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
182	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
183	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
184	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
185	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
186	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
187	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
188	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
189	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
190	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
191	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
192	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
194	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
196	C₂²×#11719921	C₂²	1	1	yes	characteristic
197	C₂²×#11719921	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	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
203	C₅₃×#539	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×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
208	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
209	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
210	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
211	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
215	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
216	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
217	C₂×C₄×D₄×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×#11719945	—	2	8	no	—
222	C₂×#11719945	—	4	4	no	—
223	C₂×#11719945	C₂³	1	8	yes	—
224	C₂×#11719945	C₂³	1	8	yes	complemented
225	C₂×#11719947	—	2	8	no	—
226	C₂×#11719947	—	4	4	no	—
227	C₂×#11719947	C₂³	1	8	yes	—
228	C₂×#11719947	C₂³	1	8	yes	complemented
229	C₂²×Dic₁₀₆	—	4	4	no	—
230	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
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	8	yes	complemented
239	C₂×Q₈×D₅₃	—	4	4	no	—
240	C₂×Q₈×D₅₃	C₂³	1	8	yes	complemented
241	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
242	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
243	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
244	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
245	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
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	C₂×D₄×D₅₃	—	2	8	no	—
254	C₂×D₄×D₅₃	C₂³	1	8	yes	—
255	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
256	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
257	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
258	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
259	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
260	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
261	C₂²×C₄×D₅₃	—	4	4	no	—
262	C₂²×C₄×D₅₃	—	4	4	no	—
263	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
264	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
265	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
266	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
267	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
268	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
269	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
270	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
271	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
272	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
273	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
274	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
275	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
276	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
277	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₅₃	C₂³	1	8	yes	—
279	C₂²×C₄×D₅₃	C₂³	1	8	yes	—
280	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
281	#13133216	C₂³	1	8	yes	complemented
282	#13133216	C₂³	1	8	yes	complemented
283	#13133216	C₂³	1	8	yes	complemented
284	#13133215	C₂³	1	8	yes	complemented
285	#13133212	C₂³	1	8	yes	complemented
286	#13133212	C₂³	1	8	yes	complemented
287	#13133212	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	#13133210	C₂³	1	8	yes	complemented
293	#13133209	C₂³	1	8	yes	complemented
294	#13133208	C₂³	1	8	yes	complemented
295	#13133207	C₂³	1	8	yes	complemented
296	#13133207	C₂³	1	8	yes	complemented
297	#13133207	C₂³	1	8	yes	complemented
298	#13133206	C₂³	1	8	yes	complemented
299	#13133204	C₂³	1	8	yes	complemented
300	#13133203	C₂³	1	8	yes	—
301	#13133203	C₂³	1	8	yes	—
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	—
306	#13133202	C₂³	1	8	yes	—
307	#13133202	C₂³	1	8	yes	—
308	#13133202	C₂³	1	8	yes	complemented
309	#13133202	C₂³	1	8	yes	complemented
310	#13133202	C₂³	1	8	yes	complemented
311	#13133201	C₂³	1	8	yes	complemented
312	#13133201	C₂³	1	8	yes	complemented
313	#13133200	C₂³	1	8	yes	complemented
314	#13133199	C₂³	1	8	yes	—
315	#13133199	C₂³	1	8	yes	complemented
316	#13133199	C₂³	1	8	yes	complemented
317	#13133199	C₂³	1	8	yes	complemented
318	#13133198	C₂³	1	8	yes	—
319	#13133197	C₂³	1	8	yes	—
320	#13133197	C₂³	1	8	yes	complemented
321	#13133197	C₂³	1	8	yes	complemented
322	#13133196	C₂³	1	8	yes	complemented
323	#13133195	C₂³	1	8	yes	—
324	#13133195	C₂³	1	8	yes	—
325	#13133195	C₂³	1	8	yes	—
326	#13133195	C₂³	1	8	yes	—
327	#13133195	C₂³	1	8	yes	—
328	#13133195	C₂³	1	8	yes	—
329	#13133195	C₂³	1	8	yes	—
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	#13133195	C₂³	1	8	yes	complemented
336	#13133195	C₂³	1	8	yes	complemented
337	#13133195	C₂³	1	8	yes	complemented
338	#13133194	C₂³	1	8	yes	complemented
339	#13133194	C₂³	1	8	yes	complemented
340	#13133194	C₂³	1	8	yes	complemented
341	#13133194	C₂³	1	8	yes	complemented
342	#13133194	C₂³	1	8	yes	complemented
343	#13133194	C₂³	1	8	yes	complemented
344	#13133193	C₂³	1	8	yes	—
345	#13133192	C₂³	1	8	yes	—
346	#13133190	C₂³	1	8	yes	—
347	#13133190	C₂³	1	8	yes	—
348	#13133190	C₂³	1	8	yes	—
349	#13133190	C₂³	1	8	yes	complemented
350	#13133189	C₂³	1	8	yes	—
351	#13133189	C₂³	1	8	yes	—
352	#13133189	C₂³	1	8	yes	complemented
353	#13133187	C₂³	1	8	yes	—
354	#13133187	C₂³	1	8	yes	—
355	#13133185	C₂³	1	8	yes	—
356	#13133185	C₂³	1	8	yes	—
357	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
358	#13133182	C₂³	1	8	yes	complemented
359	#13133182	C₂³	1	8	yes	complemented
360	#13133182	C₂³	1	8	yes	complemented
361	#13133182	C₂³	1	8	yes	complemented
362	#13133182	C₂³	1	8	yes	complemented
363	#13133182	C₂³	1	8	yes	complemented
364	C₄×D₂₁₂	C₂³	1	8	yes	—
365	C₄×D₂₁₂	C₂³	1	8	yes	—
366	D₄×Dic₅₃	C₂³	1	8	yes	—
367	D₄×Dic₅₃	C₂³	1	8	yes	complemented
368	#13133179	C₂³	1	8	yes	—
369	#13133179	C₂³	1	8	yes	—
370	#13133179	C₂³	1	8	yes	—
371	#13133179	C₂³	1	8	yes	complemented
372	#13133179	C₂³	1	8	yes	complemented
373	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
374	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
375	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
376	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
377	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
378	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
379	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
380	#13133177	C₂³	1	8	yes	—
381	#13133177	C₂³	1	8	yes	—
382	#13133177	C₂³	1	8	yes	—
383	#13133177	C₂³	1	8	yes	—
384	#13133177	C₂³	1	8	yes	—
385	#13133177	C₂³	1	8	yes	complemented
386	#13133177	C₂³	1	8	yes	complemented
387	#13133176	C₂³	1	8	yes	complemented
388	#13133175	C₂³	1	8	yes	—
389	#13133175	C₂³	1	8	yes	—
390	#13133175	C₂³	1	8	yes	complemented
391	#13133175	C₂³	1	8	yes	complemented
392	#13133174	C₂³	1	8	yes	complemented
393	#13133174	C₂³	1	8	yes	complemented
394	#13133173	C₂³	1	8	yes	complemented
395	#13133173	C₂³	1	8	yes	complemented
396	#13133173	C₂³	1	8	yes	complemented
397	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
401	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
404	C₂×C₄⋊Dic₅₃	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	1	yes	characteristic
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	8	yes	complemented
430	C₂×#11719919	C₂³	1	8	yes	complemented
431	C₂×#11719919	C₂³	1	8	yes	complemented
432	C₄⋊C₄×D₅₃	C₂³	1	8	yes	—
433	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
434	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
435	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
436	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
437	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
438	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
439	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
440	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
441	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
442	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
443	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
444	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
445	C₂×#11719921	C₂³	1	8	yes	—
446	C₂×#11719921	C₂³	1	8	yes	—
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	1	yes	characteristic
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	C₂×#11719921	C₂³	1	1	yes	characteristic
461	C₂×#11719921	C₂³	1	1	yes	characteristic
462	C₂×#11719921	C₂³	1	1	yes	characteristic
463	C₂×#11719921	C₂³	1	1	yes	characteristic
464	C₂×#11719921	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	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
472	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
473	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
474	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
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	1	yes	characteristic
480	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
481	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
482	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
483	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
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	C₄²×D₅₃	C₂³	1	8	yes	—
488	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
489	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
490	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
491	C₂²×D₄×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	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
495	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
496	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
497	#126×C₅₃	C₂³	1	8	yes	complemented
498	#126×C₅₃	C₂³	1	8	yes	complemented
499	#125×C₅₃	C₂³	1	8	yes	complemented
500	#125×C₅₃	C₂³	1	8	yes	complemented
501	#123×C₅₃	C₂³	1	8	yes	—
502	#123×C₅₃	C₂³	1	8	yes	complemented
503	#123×C₅₃	C₂³	1	8	yes	complemented
504	#123×C₅₃	C₂³	1	8	yes	complemented
505	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
506	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
507	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
508	#121×C₅₃	C₂³	1	8	yes	—
509	C₄×D₄×C₅₃	C₂³	1	8	yes	—
510	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
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	1	yes	characteristic
519	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
520	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
521	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
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	8	yes	complemented
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	1	yes	characteristic
534	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
535	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
536	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
537	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
538	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
539	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
540	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
541	C₂³×D₅₃	—	2	4	no	—
542	C₂³×D₅₃	—	2	4	no	—
543	C₂³×D₅₃	—	2	4	no	—
544	C₂³×D₅₃	—	2	4	no	—
545	C₂³×D₅₃	—	4	2	no	—
546	C₂³×D₅₃	—	4	2	no	—
547	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
548	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
549	C₂³×D₅₃	C₂⁴	1	4	yes	—
550	C₂³×D₅₃	C₂⁴	1	4	yes	—
551	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
552	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
553	C₂×Q₈×C₅₃	—	4	2	no	—
554	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
555	C₂×D₄×C₅₃	—	2	4	no	—
556	C₂×D₄×C₅₃	—	2	4	no	—
557	C₂×D₄×C₅₃	—	4	2	no	—
558	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
559	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
560	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
561	C₂²×C₄×C₅₃	—	2	4	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	—	4	2	no	—
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	1	yes	characteristic
577	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
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	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
583	C₂×C₂²⋊D₅₃	—	2	4	no	—
584	C₂×C₂²⋊D₅₃	—	2	4	no	—
585	C₂×C₂²⋊D₅₃	—	2	4	no	—
586	C₂×C₂²⋊D₅₃	—	2	4	no	—
587	C₂×C₂²⋊D₅₃	—	2	4	no	—
588	C₂×C₂²⋊D₅₃	—	4	2	no	—
589	C₂×C₂²⋊D₅₃	—	4	2	no	—
590	C₂×C₂²⋊D₅₃	#41	1	8	yes	complemented
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	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
599	C₂²×Dic₅₃	—	2	4	no	—
600	C₂²×Dic₅₃	—	2	4	no	—
601	C₂²×Dic₅₃	—	2	4	no	—
602	C₂²×Dic₅₃	—	2	4	no	—
603	C₂²×Dic₅₃	—	4	2	no	—
604	C₂²×Dic₅₃	—	4	2	no	—
605	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
616	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
617	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
618	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
619	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
620	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
621	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
622	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
623	Q₈×D₅₃	—	4	16	no	—
624	#11719947	—	2	32	no	—
625	#11719947	—	4	16	no	—
626	D₄×D₅₃	—	2	32	no	—
627	#11719945	—	2	32	no	—
628	#11719945	—	4	16	no	—
629	C₂×D₂₁₂	—	2	4	no	—
630	C₂×D₂₁₂	—	2	4	no	—
631	C₂×D₂₁₂	—	2	4	no	—
632	C₂×D₂₁₂	—	4	2	no	—
633	C₂×D₂₁₂	C₂⁴	1	4	yes	—
634	C₂×D₂₁₂	C₂⁴	1	4	yes	—
635	C₂×D₂₁₂	C₂⁴	1	4	yes	—
636	C₂×D₂₁₂	C₂⁴	1	4	yes	—
637	C₂×C₄×D₅₃	—	2	4	no	—
638	C₂×C₄×D₅₃	—	2	4	no	—
639	C₂×C₄×D₅₃	—	2	4	no	—
640	C₂×C₄×D₅₃	—	2	4	no	—
641	C₂×C₄×D₅₃	—	2	4	no	—
642	C₂×C₄×D₅₃	—	2	4	no	—
643	C₂×C₄×D₅₃	—	2	4	no	—
644	C₂×C₄×D₅₃	—	2	4	no	—
645	C₂×C₄×D₅₃	—	4	16	no	—
646	C₂×C₄×D₅₃	—	4	16	no	—
647	C₂×C₄×D₅₃	—	4	2	no	—
648	C₂×C₄×D₅₃	—	4	2	no	—
649	C₂×C₄×D₅₃	—	4	2	no	—
650	C₂×C₄×D₅₃	—	4	2	no	—
651	C₂×C₄×D₅₃	—	4	2	no	—
652	C₂×C₄×D₅₃	—	4	2	no	—
653	C₂×C₄×D₅₃	—	4	2	no	—
654	C₂×C₄×D₅₃	—	4	2	no	—
655	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
656	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
657	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
658	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
659	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
660	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
661	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
662	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
663	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
664	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
665	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
666	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
667	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
668	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
669	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
670	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
671	C₂×Dic₁₀₆	—	2	4	no	—
672	C₂×Dic₁₀₆	—	2	4	no	—
673	C₂×Dic₁₀₆	—	2	4	no	—
674	C₂×Dic₁₀₆	—	2	4	no	—
675	C₂×Dic₁₀₆	—	2	4	no	—
676	C₂×Dic₁₀₆	—	4	16	no	—
677	C₂×Dic₁₀₆	—	4	2	no	—
678	C₂×Dic₁₀₆	—	4	2	no	—
679	C₂×Dic₁₀₆	—	4	2	no	—
680	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
681	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
682	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
683	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
684	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
685	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
686	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
687	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
688	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
689	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
690	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
691	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
692	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
693	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
694	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
695	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
696	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
697	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
698	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
699	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
700	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
701	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
702	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
703	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
704	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
705	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
706	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
707	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
708	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
709	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
710	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
711	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
712	C₄²×C₅₃	C₂⁴	1	4	yes	—
713	C₄²×C₅₃	C₂⁴	1	4	yes	—
714	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
715	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
716	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
717	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
718	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
719	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
720	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
721	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
722	#11719921	C₂⁴	1	4	yes	—
723	#11719921	C₂⁴	1	4	yes	—
724	#11719921	C₂⁴	1	4	yes	—
725	#11719921	C₂⁴	1	4	yes	—
726	#11719921	C₂⁴	1	4	yes	—
727	#11719921	C₂⁴	1	4	yes	—
728	#11719921	C₂⁴	1	4	yes	—
729	#11719921	C₂⁴	1	4	yes	—
730	#11719921	C₂⁴	1	4	yes	—
731	#11719921	C₂⁴	1	4	yes	—
732	#11719921	C₂⁴	1	4	yes	—
733	#11719921	C₂⁴	1	4	yes	—
734	#11719921	C₂⁴	1	4	yes	—
735	#11719921	C₂⁴	1	4	yes	—
736	#11719921	C₂⁴	1	4	yes	—
737	#11719921	C₂⁴	1	4	yes	—
738	#11719921	C₂⁴	1	4	yes	—
739	#11719921	C₂⁴	1	4	yes	—
740	#11719921	C₂⁴	1	4	yes	—
741	#11719921	C₂⁴	1	4	yes	—
742	#11719921	C₂⁴	1	4	yes	—
743	#11719921	C₂⁴	1	4	yes	—
744	#11719921	C₂⁴	1	4	yes	—
745	#11719921	C₂⁴	1	4	yes	—
746	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
747	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
748	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
749	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
750	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
751	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
752	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
753	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
754	#11719919	C₂⁴	1	4	yes	—
755	#11719919	C₂⁴	1	4	yes	—
756	#11719919	C₂⁴	1	4	yes	—
757	#11719919	C₂⁴	1	4	yes	—
758	#11719919	C₂⁴	1	4	yes	—
759	#11719919	C₂⁴	1	4	yes	—
760	#11719919	C₂⁴	1	4	yes	—
761	#11719919	C₂⁴	1	4	yes	—
762	#11719919	C₂⁴	1	4	yes	—
763	#11719919	C₂⁴	1	4	yes	—
764	#11719919	C₂⁴	1	4	yes	—
765	#11719919	C₂⁴	1	4	yes	—
766	#11719919	C₂⁴	1	4	yes	—
767	#11719919	C₂⁴	1	4	yes	—
768	#11719919	C₂⁴	1	4	yes	—
769	#11719919	C₂⁴	1	4	yes	—
770	#11719919	C₂⁴	1	4	yes	—
771	#11719919	C₂⁴	1	4	yes	—
772	#11719919	C₂⁴	1	4	yes	—
773	#11719919	C₂⁴	1	4	yes	—
774	#11719919	C₂⁴	1	4	yes	—
775	#11719919	C₂⁴	1	4	yes	—
776	#11719919	C₂⁴	1	4	yes	—
777	#11719919	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	C₄×Dic₅₃	C₂⁴	1	4	yes	—
782	C₄×Dic₅₃	C₂⁴	1	4	yes	—
783	C₄×Dic₅₃	C₂⁴	1	4	yes	—
784	C₄×Dic₅₃	C₂⁴	1	4	yes	—
785	C₄×Dic₅₃	C₂⁴	1	4	yes	—
786	C₄×Dic₅₃	C₂⁴	1	4	yes	—
787	C₄×Dic₅₃	C₂⁴	1	4	yes	—
788	C₄×Dic₅₃	C₂⁴	1	4	yes	—
789	C₄×Dic₅₃	C₂⁴	1	4	yes	—
790	C₂³×C₅₃	—	2	2	no	—
791	C₂³×C₅₃	—	2	2	no	—
792	C₂³×C₅₃	—	2	2	no	—
793	C₂³×C₅₃	—	2	2	no	—
794	C₂³×C₅₃	—	2	2	no	—
795	C₂³×C₅₃	—	2	2	no	—
796	C₂³×C₅₃	—	2	2	no	—
797	C₂³×C₅₃	—	2	2	no	—
798	C₂³×C₅₃	C₂×#41	1	4	yes	—
799	C₂³×C₅₃	C₂⁵	1	2	yes	—
800	C₂³×C₅₃	C₂⁵	1	2	yes	—
801	C₂³×C₅₃	C₂⁵	1	2	yes	—
802	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
803	C₂²×D₅₃	—	2	2	no	—
804	C₂²×D₅₃	—	2	2	no	—
805	C₂²×D₅₃	—	2	2	no	—
806	C₂²×D₅₃	—	2	2	no	—
807	C₂²×D₅₃	—	2	2	no	—
808	C₂²×D₅₃	—	2	2	no	—
809	C₂²×D₅₃	—	2	8	no	—
810	C₂²×D₅₃	—	2	2	no	—
811	C₂²×D₅₃	—	2	2	no	—
812	C₂²×D₅₃	—	2	2	no	—
813	C₂²×D₅₃	—	2	2	no	—
814	C₂²×D₅₃	—	2	8	no	—
815	C₂²×D₅₃	—	2	8	no	—
816	C₂²×D₅₃	—	2	8	no	—
817	C₂²×D₅₃	—	4	4	no	—
818	C₂²×D₅₃	—	4	4	no	—
819	C₂²×D₅₃	—	4	16	no	—
820	C₂²×D₅₃	—	4	16	no	—
821	C₂²×D₅₃	C₂×#41	1	4	yes	—
822	C₂²×D₅₃	2₋¹⁺⁴	1	4	yes	—
823	C₂²×D₅₃	C₂⁵	1	2	yes	—
824	C₂²×D₅₃	C₂⁵	1	2	yes	—
825	C₂²×D₅₃	C₂⁵	1	2	yes	—
826	C₂²×D₅₃	C₂⁵	1	2	yes	—
827	Q₈×C₅₃	—	4	4	no	—
828	D₄×C₅₃	—	2	8	no	—
829	D₄×C₅₃	—	2	8	no	—
830	D₄×C₅₃	—	4	4	no	—
831	C₂×C₄×C₅₃	—	2	2	no	—
832	C₂×C₄×C₅₃	—	2	2	no	—
833	C₂×C₄×C₅₃	—	2	2	no	—
834	C₂×C₄×C₅₃	—	2	2	no	—
835	C₂×C₄×C₅₃	—	2	8	no	—
836	C₂×C₄×C₅₃	—	2	2	no	—
837	C₂×C₄×C₅₃	—	2	2	no	—
838	C₂×C₄×C₅₃	—	2	2	no	—
839	C₂×C₄×C₅₃	—	2	2	no	—
840	C₂×C₄×C₅₃	—	2	2	no	—
841	C₂×C₄×C₅₃	—	2	2	no	—
842	C₂×C₄×C₅₃	—	2	2	no	—
843	C₂×C₄×C₅₃	—	2	2	no	—
844	C₂×C₄×C₅₃	—	4	4	no	—
845	C₂×C₄×C₅₃	—	4	4	no	—
846	C₂×C₄×C₅₃	—	4	4	no	—
847	C₂×C₄×C₅₃	—	4	4	no	—
848	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
849	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
850	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
851	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
852	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
853	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
854	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
855	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
856	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
857	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
858	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
859	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
860	C₂²⋊D₅₃	—	2	8	no	—
861	C₂²⋊D₅₃	—	2	8	no	—
862	C₂²⋊D₅₃	—	2	8	no	—
863	C₂²⋊D₅₃	—	2	8	no	—
864	C₂²⋊D₅₃	—	2	8	no	—
865	C₂²⋊D₅₃	—	4	4	no	—
866	C₂²⋊D₅₃	—	4	4	no	—
867	C₂²⋊D₅₃	C₂×#41	1	16	yes	complemented
868	C₂×Dic₅₃	—	2	2	no	—
869	C₂×Dic₅₃	—	2	2	no	—
870	C₂×Dic₅₃	—	2	2	no	—
871	C₂×Dic₅₃	—	2	8	no	—
872	C₂×Dic₅₃	—	2	2	no	—
873	C₂×Dic₅₃	—	2	2	no	—
874	C₂×Dic₅₃	—	2	2	no	—
875	C₂×Dic₅₃	—	2	2	no	—
876	C₂×Dic₅₃	—	2	2	no	—
877	C₂×Dic₅₃	—	2	2	no	—
878	C₂×Dic₅₃	—	2	2	no	—
879	C₂×Dic₅₃	—	2	8	no	—
880	C₂×Dic₅₃	—	2	8	no	—
881	C₂×Dic₅₃	—	2	8	no	—
882	C₂×Dic₅₃	—	4	4	no	—
883	C₂×Dic₅₃	—	4	4	no	—
884	C₂×Dic₅₃	C₂×#41	1	4	yes	—
885	C₂×Dic₅₃	H(5,𝔽₂)	1	4	yes	—
886	C₂×Dic₅₃	C₂⁵	1	2	yes	—
887	C₂×Dic₅₃	C₂⁵	1	2	yes	—
888	C₂×Dic₅₃	C₂⁵	1	2	yes	—
889	C₂×Dic₅₃	C₂⁵	1	2	yes	—
890	C₂×Dic₅₃	C₂⁵	1	2	yes	—
891	C₂×Dic₅₃	C₂⁵	1	2	yes	—
892	C₂×Dic₅₃	C₂⁵	1	2	yes	—
893	C₂×Dic₅₃	C₂⁵	1	2	yes	—
894	C₂×Dic₅₃	C₂⁵	1	2	yes	—
895	C₂×Dic₅₃	C₂⁵	1	2	yes	—
896	C₂×Dic₅₃	C₂⁵	1	2	yes	—
897	C₂×Dic₅₃	C₂⁵	1	2	yes	—
898	D₂₁₂	—	2	8	no	—
899	D₂₁₂	—	2	8	no	—
900	D₂₁₂	—	2	8	no	—
901	D₂₁₂	—	4	4	no	—
902	C₄×D₅₃	—	2	8	no	—
903	C₄×D₅₃	—	2	8	no	—
904	C₄×D₅₃	—	2	8	no	—
905	C₄×D₅₃	—	2	8	no	—
906	C₄×D₅₃	—	2	8	no	—
907	C₄×D₅₃	—	2	8	no	—
908	C₄×D₅₃	—	2	8	no	—
909	C₄×D₅₃	—	2	8	no	—
910	C₄×D₅₃	—	4	4	no	—
911	C₄×D₅₃	—	4	4	no	—
912	C₄×D₅₃	—	4	4	no	—
913	C₄×D₅₃	—	4	4	no	—
914	C₄×D₅₃	—	4	4	no	—
915	C₄×D₅₃	—	4	4	no	—
916	C₄×D₅₃	—	4	4	no	—
917	C₄×D₅₃	—	4	4	no	—
918	Dic₁₀₆	—	2	8	no	—
919	Dic₁₀₆	—	2	8	no	—
920	Dic₁₀₆	—	2	8	no	—
921	Dic₁₀₆	—	2	8	no	—
922	Dic₁₀₆	—	2	8	no	—
923	Dic₁₀₆	—	4	4	no	—
924	Dic₁₀₆	—	4	4	no	—
925	Dic₁₀₆	—	4	4	no	—
926	C₂×#3520	—	53	1	no	maximal, Sylow
927	C₂²×C₅₃	—	2	2	no	—
928	C₂²×C₅₃	—	2	2	no	—
929	C₂²×C₅₃	—	2	8	no	—
930	C₂²×C₅₃	—	2	2	no	—
931	C₂²×C₅₃	—	2	2	no	—
932	C₂²×C₅₃	—	2	2	no	—
933	C₂²×C₅₃	—	2	2	no	—
934	C₂²×C₅₃	—	2	2	no	—
935	C₂²×C₅₃	—	2	2	no	—
936	C₂²×C₅₃	—	4	4	no	—
937	C₂²×C₅₃	—	4	4	no	—
938	C₂²×C₅₃	C₂²×#41	1	4	yes	—
939	C₂²×C₅₃	C₂²×#41	1	2	yes	—
940	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
941	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
942	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
943	C₂×D₅₃	—	2	2	no	—
944	C₂×D₅₃	—	2	2	no	—
945	C₂×D₅₃	—	2	2	no	—
946	C₂×D₅₃	—	2	2	no	—
947	C₂×D₅₃	—	2	8	no	—
948	C₂×D₅₃	—	2	8	no	—
949	C₂×D₅₃	—	2	2	no	—
950	C₂×D₅₃	—	2	2	no	—
951	C₂×D₅₃	—	2	2	no	—
952	C₂×D₅₃	—	2	2	no	—
953	C₂×D₅₃	—	2	2	no	—
954	C₂×D₅₃	—	2	2	no	—
955	C₂×D₅₃	—	4	16	no	—
956	C₂×D₅₃	—	4	16	no	—
957	C₂×D₅₃	—	4	4	no	—
958	C₂×D₅₃	—	4	4	no	—
959	C₂×D₅₃	C₂²×#41	1	4	yes	—
960	C₂×D₅₃	C₂×2₋¹⁺⁴	1	4	yes	—
961	C₄×C₅₃	—	2	2	no	—
962	C₄×C₅₃	—	2	2	no	—
963	C₄×C₅₃	—	2	2	no	—
964	C₄×C₅₃	—	2	2	no	—
965	C₄×C₅₃	—	2	2	no	—
966	C₄×C₅₃	—	2	2	no	—
967	C₄×C₅₃	—	2	2	no	—
968	C₄×C₅₃	—	2	2	no	—
969	C₄×C₅₃	—	2	2	no	—
970	C₄×C₅₃	—	2	2	no	—
971	C₄×C₅₃	—	2	2	no	—
972	C₄×C₅₃	—	2	2	no	—
973	Dic₅₃	—	2	2	no	—
974	Dic₅₃	—	2	2	no	—
975	Dic₅₃	—	2	2	no	—
976	Dic₅₃	—	2	2	no	—
977	Dic₅₃	—	2	2	no	—
978	Dic₅₃	—	2	2	no	—
979	Dic₅₃	—	2	2	no	—
980	Dic₅₃	—	2	2	no	—
981	Dic₅₃	—	2	2	no	—
982	Dic₅₃	—	2	2	no	—
983	Dic₅₃	C₂²×#41	1	4	yes	—
984	Dic₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
985	#3520	—	53	32	no	—
986	C₂×#556	—	53	1	no	—
987	C₂×#554	—	53	1	no	—
988	C₂×#554	—	53	1	no	—
989	C₂×#552	—	53	1	no	—
990	C₂×#552	—	53	1	no	—
991	C₂×#551	—	53	1	no	—
992	C₂×#551	—	53	1	no	—
993	C₂×#551	—	53	1	no	—
994	C₂×#551	—	53	1	no	—
995	C₂×D₄×Q₈	—	53	1	no	—
996	C₂×#548	—	53	1	no	—
997	C₂×#548	—	53	1	no	—
998	C₂×#547	—	53	1	no	—
999	C₂×#547	—	53	1	no	—
1000	C₂×#546	—	53	1	no	—
1001	C₂×#546	—	53	1	no	—
1002	C₂×#542	—	53	1	no	—
1003	C₂×#542	—	53	1	no	—
1004	C₂×#539	—	53	1	no	—
1005	C₂×#539	—	53	1	no	—
1006	C₂×#539	—	53	1	no	—
1007	C₂×#539	D₅₃	1	1	yes	characteristic, complemented
1008	C₂×#533	—	53	1	no	—
1009	C₂×#529	—	53	1	no	—
1010	C₂×#525	—	53	1	no	—
1011	C₂×#525	—	53	1	no	—
1012	C₂²×C₂²⋊Q₈	—	53	1	no	—
1013	C₂²×C₂²⋊Q₈	—	53	1	no	—
1014	C₂×#520	—	53	1	no	—
1015	C₂×#520	—	53	1	no	—
1016	C₂²×C₄×D₄	—	53	1	no	—
1017	C₂×C₅₃	—	2	4	no	—
1018	C₂×C₅₃	—	4	2	no	—
1019	C₂×C₅₃	—	4	2	no	—
1020	C₂×C₅₃	#3520	1	4	yes	complemented
1021	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1022	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1023	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1024	D₅₃	—	2	4	no	—
1025	D₅₃	—	2	4	no	—
1026	D₅₃	—	4	2	no	—
1027	D₅₃	—	4	2	no	—
1028	C₂²×#41	—	53	1	no	—
1029	C₂²×#41	—	53	1	no	—
1030	C₂²×#41	—	53	1	no	—
1031	C₂²×#41	—	53	1	no	—
1032	C₂³×Q₈	—	53	1	no	—
1033	C₂³×Q₈	—	53	1	no	—
1034	C₂³×D₄	—	53	1	no	—
1035	C₂⁴×C₄	—	53	1	no	—
1036	C₂⁴×C₄	—	53	1	no	—
1037	#556	—	53	16	no	—
1038	#554	—	53	16	no	—
1039	#554	—	53	16	no	—
1040	#552	—	53	16	no	—
1041	#552	—	53	16	no	—
1042	#551	—	53	16	no	—
1043	#551	—	53	16	no	—
1044	#551	—	53	16	no	—
1045	#551	—	53	16	no	—
1046	D₄×Q₈	—	53	16	no	—
1047	#548	—	53	16	no	—
1048	#548	—	53	16	no	—
1049	#547	—	53	16	no	—
1050	#547	—	53	16	no	—
1051	#546	—	53	16	no	—
1052	#546	—	53	16	no	—
1053	#542	—	53	16	no	—
1054	#542	—	53	16	no	—
1055	#539	—	53	16	no	—
1056	#539	—	53	16	no	—
1057	#539	—	53	16	no	—
1058	#539	C₂×D₅₃	1	16	yes	complemented
1059	#533	—	53	16	no	—
1060	C₂×C₄⋊Q₈	—	53	1	no	—
1061	C₂×C₄⋊Q₈	—	53	1	no	—
1062	C₂×C₄⋊Q₈	—	53	1	no	—
1063	C₂×C₄⋊Q₈	—	53	1	no	—
1064	#529	—	53	16	no	—
1065	C₂×#126	—	53	1	no	—
1066	C₂×#126	—	53	1	no	—
1067	C₂×#126	—	53	1	no	—
1068	C₂×#126	—	53	1	no	—
1069	C₂×#126	—	53	1	no	—
1070	C₂×#126	—	53	1	no	—
1071	C₂×#126	—	53	1	no	—
1072	C₂×#126	—	53	1	no	—
1073	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1074	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1075	C₂×#125	—	53	1	no	—
1076	C₂×#125	—	53	1	no	—
1077	C₂×#125	—	53	1	no	—
1078	C₂×#125	—	53	1	no	—
1079	C₂×#125	—	53	1	no	—
1080	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1081	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1082	C₂×#124	—	53	1	no	—
1083	C₂×#124	—	53	1	no	—
1084	C₂×#124	—	53	1	no	—
1085	C₂×#124	—	53	1	no	—
1086	C₂×#124	—	53	1	no	—
1087	C₂×#124	—	53	1	no	—
1088	C₂×#124	—	53	1	no	—
1089	#525	—	53	16	no	—
1090	#525	—	53	16	no	—
1091	C₂×#123	—	53	1	no	—
1092	C₂×#123	—	53	1	no	—
1093	C₂×#123	—	53	1	no	—
1094	C₂×#123	—	53	1	no	—
1095	C₂×#123	—	53	1	no	—
1096	C₂×#123	—	53	1	no	—
1097	C₂×#123	—	53	1	no	—
1098	C₂×#123	—	53	1	no	—
1099	C₂×#123	—	53	1	no	—
1100	C₂×#123	—	53	1	no	—
1101	C₂×#123	—	53	1	no	—
1102	C₂×#123	—	53	1	no	—
1103	C₂×#123	—	53	1	no	—
1104	C₂×#123	—	53	1	no	—
1105	C₂×#123	C₂×D₅₃	1	1	yes	characteristic
1106	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1107	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1108	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1109	C₂×C₂²⋊Q₈	—	53	1	no	—
1110	C₂×C₂²⋊Q₈	—	53	1	no	—
1111	C₂×C₂²⋊Q₈	—	53	16	no	—
1112	C₂×C₂²⋊Q₈	—	53	1	no	—
1113	C₂×C₂²⋊Q₈	—	53	1	no	—
1114	C₂×C₂²⋊Q₈	—	53	1	no	—
1115	C₂×C₂²⋊Q₈	—	53	1	no	—
1116	C₂×C₂²⋊Q₈	—	53	1	no	—
1117	C₂×C₂²⋊Q₈	—	53	1	no	—
1118	C₂×C₂²⋊Q₈	—	53	1	no	—
1119	C₂×C₂²⋊Q₈	—	53	1	no	—
1120	C₂×C₂²⋊Q₈	—	53	1	no	—
1121	C₂×C₂²⋊Q₈	—	53	1	no	—
1122	C₂×C₂²⋊Q₈	—	53	1	no	—
1123	C₂×C₂²⋊Q₈	—	53	1	no	—
1124	C₂×C₂²⋊Q₈	—	53	1	no	—
1125	C₂×C₂²⋊Q₈	—	53	1	no	—
1126	C₂×C₂²⋊Q₈	—	53	1	no	—
1127	C₂×C₂²⋊Q₈	—	53	1	no	—
1128	C₂×C₂²⋊Q₈	—	53	1	no	—
1129	C₂×C₂²⋊Q₈	—	53	1	no	—
1130	C₂×C₂²⋊Q₈	—	53	16	no	—
1131	C₂×C₂²⋊Q₈	—	53	1	no	—
1132	C₂×C₂²⋊Q₈	—	53	1	no	—
1133	C₂×C₂²⋊Q₈	—	53	1	no	—
1134	C₂×C₂²⋊Q₈	—	53	1	no	—
1135	C₂×C₂²⋊Q₈	—	53	1	no	—
1136	C₂×C₂²⋊Q₈	—	53	1	no	—
1137	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1138	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1139	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1140	C₂×#121	—	53	1	no	—
1141	C₂×#121	—	53	1	no	—
1142	C₂×#121	—	53	1	no	—
1143	C₂×#121	—	53	1	no	—
1144	C₂×#121	—	53	1	no	—
1145	C₂×#121	—	53	1	no	—
1146	C₂×#121	—	53	1	no	—
1147	C₂×#121	—	53	1	no	—
1148	C₂×#121	C₂×D₅₃	1	1	yes	characteristic
1149	C₂×#120	—	53	1	no	—
1150	C₂×#120	—	53	1	no	—
1151	C₂×#120	—	53	1	no	—
1152	C₂×#120	—	53	1	no	—
1153	#520	—	53	16	no	—
1154	#520	—	53	16	no	—
1155	C₂×C₄×Q₈	—	53	1	no	—
1156	C₂×C₄×Q₈	—	53	1	no	—
1157	C₂×C₄×Q₈	—	53	1	no	—
1158	C₂×C₄×Q₈	—	53	1	no	—
1159	C₂×C₄×Q₈	—	53	1	no	—
1160	C₂×C₄×Q₈	—	53	1	no	—
1161	C₂×C₄×Q₈	—	53	1	no	—
1162	C₂×C₄×D₄	—	53	1	no	—
1163	C₂×C₄×D₄	—	53	1	no	—
1164	C₂×C₄×D₄	—	53	1	no	—
1165	C₂×C₄×D₄	—	53	1	no	—
1166	C₂×C₄×D₄	—	53	1	no	—
1167	C₂×C₄×D₄	—	53	1	no	—
1168	C₂×C₄×D₄	—	53	1	no	—
1169	C₂×C₄×D₄	—	53	1	no	—
1170	C₂×C₄×D₄	—	53	1	no	—
1171	C₂×C₄×D₄	—	53	16	no	—
1172	C₂×C₄×D₄	—	53	1	no	—
1173	C₂×C₄×D₄	—	53	1	no	—
1174	C₂×C₄×D₄	—	53	1	no	—
1175	C₂×C₄×D₄	—	53	1	no	—
1176	C₂×C₄×D₄	—	53	1	no	—
1177	C₂×C₄×D₄	—	53	1	no	—
1178	C₂×C₄×D₄	—	53	1	no	—
1179	C₂×C₄×D₄	—	53	1	no	—
1180	C₂×C₄×D₄	—	53	1	no	—
1181	C₂×C₄×D₄	—	53	1	no	—
1182	C₂×C₄×D₄	—	53	1	no	—
1183	C₂×C₄×D₄	—	53	1	no	—
1184	C₂×C₄×D₄	—	53	1	no	—
1185	C₂×C₄×D₄	—	53	1	no	—
1186	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1187	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1188	C₂×#117	—	53	1	no	—
1189	C₂×#117	—	53	1	no	—
1190	C₂×#117	—	53	1	no	—
1191	C₂×#117	—	53	1	no	—
1192	C₂×#117	—	53	1	no	—
1193	C₂×#117	—	53	1	no	—
1194	C₂×#117	—	53	1	no	—
1195	C₂×#117	—	53	1	no	—
1196	C₂×#117	—	53	1	no	—
1197	C₂×#117	—	53	1	no	—
1198	C₂²×C₄⋊C₄	—	53	1	no	—
1199	C₂²×C₄⋊C₄	—	53	1	no	—
1200	C₂²×C₄⋊C₄	—	53	1	no	—
1201	C₂²×C₄⋊C₄	—	53	1	no	—
1202	C₂²×C₄⋊C₄	—	53	1	no	—
1203	C₂²×C₄⋊C₄	—	53	1	no	—
1204	C₂²×C₄⋊C₄	—	53	1	no	—
1205	C₂²×C₄⋊C₄	—	53	1	no	—
1206	C₂²×C₄⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1207	C₂²×C₂²⋊C₄	—	53	1	no	—
1208	C₂²×C₂²⋊C₄	—	53	1	no	—
1209	C₂²×C₂²⋊C₄	—	53	1	no	—
1210	C₂²×C₂²⋊C₄	—	53	1	no	—
1211	C₂²×C₂²⋊C₄	—	53	1	no	—
1212	C₂²×C₂²⋊C₄	—	53	1	no	—
1213	C₂²×C₄²	—	53	1	no	—
1214	C₅₃	C₂×#3520	1	1	yes	characteristic, complemented, Sylow
1215	C₂⁵	—	53	1	no	—
1216	C₂⁵	—	53	1	no	—
1217	C₂×#41	—	53	8	no	—
1218	C₂×#41	—	53	8	no	—
1219	C₂×#41	—	53	8	no	—
1220	C₂×#41	—	53	8	no	—
1221	C₂×#41	—	106	8	no	—
1222	C₂×#41	—	106	8	no	—
1223	C₂×#41	—	212	4	no	—
1224	C₂×#41	—	212	4	no	—
1225	C₂²×Q₈	—	53	8	no	—
1226	C₂²×Q₈	—	53	1	no	—
1227	C₂²×Q₈	—	53	1	no	—
1228	C₂²×Q₈	—	53	1	no	—
1229	C₂²×Q₈	—	53	1	no	—
1230	C₂²×Q₈	—	53	1	no	—
1231	C₂²×Q₈	—	53	1	no	—
1232	C₂²×Q₈	—	53	1	no	—
1233	C₂²×Q₈	—	53	1	no	—
1234	C₂²×Q₈	—	53	8	no	—
1235	C₂²×Q₈	—	212	4	no	—
1236	C₂²×Q₈	—	212	4	no	—
1237	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1238	C₂²×D₄	—	53	1	no	—
1239	C₂²×D₄	—	53	1	no	—
1240	C₂²×D₄	—	53	1	no	—
1241	C₂²×D₄	—	53	1	no	—
1242	C₂²×D₄	—	53	1	no	—
1243	C₂²×D₄	—	53	1	no	—
1244	C₂²×D₄	—	53	1	no	—
1245	C₂²×D₄	—	53	1	no	—
1246	C₂²×D₄	—	53	8	no	—
1247	C₂²×D₄	—	53	1	no	—
1248	C₂²×D₄	—	53	1	no	—
1249	C₂²×D₄	—	53	1	no	—
1250	C₂²×D₄	—	53	1	no	—
1251	C₂²×D₄	—	106	8	no	—
1252	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1253	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1254	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1255	C₂³×C₄	—	53	1	no	—
1256	C₂³×C₄	—	53	1	no	—
1257	C₂³×C₄	—	53	1	no	—
1258	C₂³×C₄	—	53	1	no	—
1259	C₂³×C₄	—	53	1	no	—
1260	C₂³×C₄	—	53	1	no	—
1261	C₂³×C₄	—	53	1	no	—
1262	C₂³×C₄	—	53	1	no	—
1263	C₂³×C₄	—	53	1	no	—
1264	C₂³×C₄	—	53	1	no	—
1265	C₂³×C₄	—	53	1	no	—
1266	C₂³×C₄	—	53	1	no	—
1267	C₂³×C₄	—	53	1	no	—
1268	C₂³×C₄	—	53	1	no	—
1269	C₂³×C₄	—	53	1	no	—
1270	C₂³×C₄	—	53	1	no	—
1271	C₂³×C₄	—	53	1	no	—
1272	C₂³×C₄	—	53	1	no	—
1273	C₂³×C₄	—	53	1	no	—
1274	C₂³×C₄	—	53	1	no	—
1275	C₂³×C₄	—	53	1	no	—
1276	C₂³×C₄	—	53	1	no	—
1277	C₂³×C₄	—	53	8	no	—
1278	C₂³×C₄	—	53	8	no	—
1279	C₂³×C₄	—	212	4	no	—
1280	C₂³×C₄	—	212	4	no	—
1281	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1282	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1283	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1284	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1285	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1286	C₄⋊Q₈	—	53	8	no	—
1287	C₄⋊Q₈	—	53	8	no	—
1288	C₄⋊Q₈	—	53	8	no	—
1289	C₄⋊Q₈	—	53	8	no	—
1290	#126	—	53	8	no	—
1291	#126	—	53	8	no	—
1292	#126	—	53	8	no	—
1293	#126	—	53	8	no	—
1294	#126	—	53	8	no	—
1295	#126	—	53	8	no	—
1296	#126	—	53	8	no	—
1297	#126	—	53	8	no	—
1298	#126	C₂²×D₅₃	1	8	yes	complemented
1299	#126	C₂²×D₅₃	1	8	yes	complemented
1300	#125	—	53	8	no	—
1301	#125	—	53	8	no	—
1302	#125	—	53	8	no	—
1303	#125	—	53	8	no	—
1304	#125	—	53	8	no	—
1305	#125	C₂²×D₅₃	1	8	yes	complemented
1306	#125	C₂²×D₅₃	1	8	yes	complemented
1307	#124	—	53	8	no	—
1308	#124	—	53	8	no	—
1309	#124	—	53	8	no	—
1310	#124	—	53	8	no	—
1311	#124	—	53	8	no	—
1312	#124	—	53	8	no	—
1313	#124	—	53	8	no	—
1314	#123	—	53	8	no	—
1315	#123	—	53	8	no	—
1316	#123	—	53	8	no	—
1317	#123	—	53	8	no	—
1318	#123	—	53	8	no	—
1319	#123	—	53	8	no	—
1320	#123	—	53	8	no	—
1321	#123	—	53	8	no	—
1322	#123	—	53	8	no	—
1323	#123	—	53	8	no	—
1324	#123	—	53	8	no	—
1325	#123	—	53	8	no	—
1326	#123	—	53	8	no	—
1327	#123	—	53	8	no	—
1328	#123	C₂²×D₅₃	1	8	yes	—
1329	#123	C₂²×D₅₃	1	8	yes	complemented
1330	#123	C₂²×D₅₃	1	8	yes	complemented
1331	#123	C₂²×D₅₃	1	8	yes	complemented
1332	C₂²⋊Q₈	—	53	8	no	—
1333	C₂²⋊Q₈	—	53	8	no	—
1334	C₂²⋊Q₈	—	53	8	no	—
1335	C₂²⋊Q₈	—	53	8	no	—
1336	C₂²⋊Q₈	—	53	8	no	—
1337	C₂²⋊Q₈	—	53	8	no	—
1338	C₂²⋊Q₈	—	53	8	no	—
1339	C₂²⋊Q₈	—	53	8	no	—
1340	C₂²⋊Q₈	—	53	8	no	—
1341	C₂²⋊Q₈	—	53	8	no	—
1342	C₂²⋊Q₈	—	53	8	no	—
1343	C₂²⋊Q₈	—	53	8	no	—
1344	C₂²⋊Q₈	—	53	8	no	—
1345	C₂²⋊Q₈	—	53	8	no	—
1346	C₂²⋊Q₈	—	53	8	no	—
1347	C₂²⋊Q₈	—	53	8	no	—
1348	C₂²⋊Q₈	—	53	8	no	—
1349	C₂²⋊Q₈	—	53	8	no	—
1350	C₂²⋊Q₈	—	53	8	no	—
1351	C₂²⋊Q₈	—	53	8	no	—
1352	C₂²⋊Q₈	—	53	8	no	—
1353	C₂²⋊Q₈	—	53	8	no	—
1354	C₂²⋊Q₈	—	53	8	no	—
1355	C₂²⋊Q₈	—	53	8	no	—
1356	C₂²⋊Q₈	—	53	8	no	—
1357	C₂²⋊Q₈	—	53	8	no	—
1358	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1359	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1360	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1361	#121	—	53	8	no	—
1362	#121	—	53	8	no	—
1363	#121	—	53	8	no	—
1364	#121	—	53	8	no	—
1365	#121	—	53	8	no	—
1366	#121	—	53	8	no	—
1367	#121	—	53	8	no	—
1368	#121	—	53	8	no	—
1369	#121	C₂²×D₅₃	1	8	yes	—
1370	#120	—	53	8	no	—
1371	#120	—	53	8	no	—
1372	#120	—	53	8	no	—
1373	#120	—	53	8	no	—
1374	C₄×Q₈	—	53	8	no	—
1375	C₄×Q₈	—	53	8	no	—
1376	C₄×Q₈	—	53	8	no	—
1377	C₄×Q₈	—	53	8	no	—
1378	C₄×Q₈	—	53	8	no	—
1379	C₄×Q₈	—	53	8	no	—
1380	C₄×Q₈	—	53	8	no	—
1381	C₄×D₄	—	53	8	no	—
1382	C₄×D₄	—	53	8	no	—
1383	C₄×D₄	—	53	8	no	—
1384	C₄×D₄	—	53	8	no	—
1385	C₄×D₄	—	53	8	no	—
1386	C₄×D₄	—	53	8	no	—
1387	C₄×D₄	—	53	8	no	—
1388	C₄×D₄	—	53	8	no	—
1389	C₄×D₄	—	53	8	no	—
1390	C₄×D₄	—	53	8	no	—
1391	C₄×D₄	—	53	8	no	—
1392	C₄×D₄	—	53	8	no	—
1393	C₄×D₄	—	53	8	no	—
1394	C₄×D₄	—	53	8	no	—
1395	C₄×D₄	—	53	8	no	—
1396	C₄×D₄	—	53	8	no	—
1397	C₄×D₄	—	53	8	no	—
1398	C₄×D₄	—	53	8	no	—
1399	C₄×D₄	—	53	8	no	—
1400	C₄×D₄	—	53	8	no	—
1401	C₄×D₄	—	53	8	no	—
1402	C₄×D₄	—	53	8	no	—
1403	C₄×D₄	—	53	8	no	—
1404	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1405	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1406	#117	—	53	8	no	—
1407	#117	—	53	8	no	—
1408	#117	—	53	8	no	—
1409	#117	—	53	8	no	—
1410	#117	—	53	8	no	—
1411	#117	—	53	8	no	—
1412	#117	—	53	8	no	—
1413	#117	—	53	8	no	—
1414	#117	—	53	8	no	—
1415	#117	—	53	8	no	—
1416	C₂×C₄⋊C₄	—	53	1	no	—
1417	C₂×C₄⋊C₄	—	53	1	no	—
1418	C₂×C₄⋊C₄	—	53	1	no	—
1419	C₂×C₄⋊C₄	—	53	1	no	—
1420	C₂×C₄⋊C₄	—	53	1	no	—
1421	C₂×C₄⋊C₄	—	53	1	no	—
1422	C₂×C₄⋊C₄	—	53	1	no	—
1423	C₂×C₄⋊C₄	—	53	1	no	—
1424	C₂×C₄⋊C₄	—	53	1	no	—
1425	C₂×C₄⋊C₄	—	53	1	no	—
1426	C₂×C₄⋊C₄	—	53	1	no	—
1427	C₂×C₄⋊C₄	—	53	1	no	—
1428	C₂×C₄⋊C₄	—	53	1	no	—
1429	C₂×C₄⋊C₄	—	53	1	no	—
1430	C₂×C₄⋊C₄	—	53	1	no	—
1431	C₂×C₄⋊C₄	—	53	1	no	—
1432	C₂×C₄⋊C₄	—	53	1	no	—
1433	C₂×C₄⋊C₄	—	53	8	no	—
1434	C₂×C₄⋊C₄	—	53	8	no	—
1435	C₂×C₄⋊C₄	—	53	1	no	—
1436	C₂×C₄⋊C₄	—	53	1	no	—
1437	C₂×C₄⋊C₄	—	53	1	no	—
1438	C₂×C₄⋊C₄	—	53	8	no	—
1439	C₂×C₄⋊C₄	—	53	1	no	—
1440	C₂×C₄⋊C₄	—	53	1	no	—
1441	C₂×C₄⋊C₄	—	53	1	no	—
1442	C₂×C₄⋊C₄	—	53	1	no	—
1443	C₂×C₄⋊C₄	—	53	1	no	—
1444	C₂×C₄⋊C₄	—	53	1	no	—
1445	C₂×C₄⋊C₄	—	53	1	no	—
1446	C₂×C₄⋊C₄	—	53	1	no	—
1447	C₂×C₄⋊C₄	—	53	1	no	—
1448	C₂×C₄⋊C₄	—	53	1	no	—
1449	C₂×C₄⋊C₄	—	53	1	no	—
1450	C₂×C₄⋊C₄	—	53	1	no	—
1451	C₂×C₄⋊C₄	—	53	8	no	—
1452	C₂×C₄⋊C₄	—	53	8	no	—
1453	C₂×C₄⋊C₄	—	53	8	no	—
1454	C₂×C₄⋊C₄	—	53	8	no	—
1455	C₂×C₄⋊C₄	—	53	8	no	—
1456	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1457	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1458	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1459	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1460	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1461	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1462	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1463	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1464	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1465	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1466	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1467	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1468	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1469	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1470	C₂×C₄⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1471	C₂×C₂²⋊C₄	—	53	1	no	—
1472	C₂×C₂²⋊C₄	—	53	1	no	—
1473	C₂×C₂²⋊C₄	—	53	1	no	—
1474	C₂×C₂²⋊C₄	—	53	1	no	—
1475	C₂×C₂²⋊C₄	—	53	1	no	—
1476	C₂×C₂²⋊C₄	—	53	1	no	—
1477	C₂×C₂²⋊C₄	—	53	1	no	—
1478	C₂×C₂²⋊C₄	—	53	1	no	—
1479	C₂×C₂²⋊C₄	—	53	1	no	—
1480	C₂×C₂²⋊C₄	—	53	1	no	—
1481	C₂×C₂²⋊C₄	—	53	1	no	—
1482	C₂×C₂²⋊C₄	—	53	1	no	—
1483	C₂×C₂²⋊C₄	—	53	1	no	—
1484	C₂×C₂²⋊C₄	—	53	1	no	—
1485	C₂×C₂²⋊C₄	—	53	1	no	—
1486	C₂×C₂²⋊C₄	—	53	1	no	—
1487	C₂×C₂²⋊C₄	—	53	1	no	—
1488	C₂×C₂²⋊C₄	—	53	1	no	—
1489	C₂×C₂²⋊C₄	—	53	1	no	—
1490	C₂×C₂²⋊C₄	—	53	1	no	—
1491	C₂×C₂²⋊C₄	—	53	1	no	—
1492	C₂×C₂²⋊C₄	—	53	1	no	—
1493	C₂×C₂²⋊C₄	—	53	8	no	—
1494	C₂×C₂²⋊C₄	—	53	8	no	—
1495	C₂×C₂²⋊C₄	—	53	1	no	—
1496	C₂×C₂²⋊C₄	—	53	1	no	—
1497	C₂×C₂²⋊C₄	—	53	1	no	—
1498	C₂×C₂²⋊C₄	—	53	1	no	—
1499	C₂×C₂²⋊C₄	—	53	1	no	—
1500	C₂×C₂²⋊C₄	—	53	1	no	—
1501	C₂×C₂²⋊C₄	—	53	1	no	—
1502	C₂×C₂²⋊C₄	—	53	1	no	—
1503	C₂×C₂²⋊C₄	—	53	1	no	—
1504	C₂×C₂²⋊C₄	—	53	1	no	—
1505	C₂×C₂²⋊C₄	—	53	8	no	—
1506	C₂×C₂²⋊C₄	—	53	8	no	—
1507	C₂×C₂²⋊C₄	—	53	8	no	—
1508	C₂×C₂²⋊C₄	—	53	8	no	—
1509	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1510	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1511	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1512	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1513	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1514	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1515	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1516	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1517	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1518	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1519	C₂×C₄²	—	53	1	no	—
1520	C₂×C₄²	—	53	1	no	—
1521	C₂×C₄²	—	53	1	no	—
1522	C₂×C₄²	—	53	1	no	—
1523	C₂×C₄²	—	53	1	no	—
1524	C₂×C₄²	—	53	1	no	—
1525	C₂×C₄²	—	53	1	no	—
1526	C₂×C₄²	—	53	1	no	—
1527	C₂×C₄²	—	53	1	no	—
1528	C₂×C₄²	—	53	1	no	—
1529	C₂×C₄²	—	53	1	no	—
1530	C₂×C₄²	—	53	1	no	—
1531	C₂×C₄²	—	53	8	no	—
1532	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1533	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1534	C₂⁴	—	53	1	no	—
1535	C₂⁴	—	53	1	no	—
1536	C₂⁴	—	53	1	no	—
1537	C₂⁴	—	53	1	no	—
1538	C₂⁴	—	53	4	no	—
1539	C₂⁴	—	53	4	no	—
1540	C₂⁴	—	106	4	no	—
1541	C₂⁴	—	106	4	no	—
1542	C₂⁴	—	106	4	no	—
1543	C₂⁴	—	106	4	no	—
1544	C₂⁴	—	212	2	no	—
1545	C₂⁴	—	212	2	no	—
1546	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1547	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1548	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1549	#41	—	106	32	no	—
1550	#41	—	106	32	no	—
1551	#41	—	212	16	no	—
1552	#41	—	212	16	no	—
1553	C₂×Q₈	—	4	2	no	—
1554	C₂×Q₈	—	53	4	no	—
1555	C₂×Q₈	—	53	4	no	—
1556	C₂×Q₈	—	53	4	no	—
1557	C₂×Q₈	—	53	4	no	—
1558	C₂×Q₈	—	53	4	no	—
1559	C₂×Q₈	—	53	4	no	—
1560	C₂×Q₈	—	53	4	no	—
1561	C₂×Q₈	—	53	4	no	—
1562	C₂×Q₈	—	106	4	no	—
1563	C₂×Q₈	—	106	4	no	—
1564	C₂×Q₈	—	106	4	no	—
1565	C₂×Q₈	—	106	4	no	—
1566	C₂×Q₈	—	106	4	no	—
1567	C₂×Q₈	—	212	2	no	—
1568	C₂×Q₈	—	212	2	no	—
1569	C₂×Q₈	—	212	2	no	—
1570	C₂×Q₈	—	212	16	no	—
1571	C₂×Q₈	—	212	16	no	—
1572	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1573	C₂×D₄	—	2	4	no	—
1574	C₂×D₄	—	2	4	no	—
1575	C₂×D₄	—	4	2	no	—
1576	C₂×D₄	—	53	8	no	—
1577	C₂×D₄	—	53	4	no	—
1578	C₂×D₄	—	53	4	no	—
1579	C₂×D₄	—	53	4	no	—
1580	C₂×D₄	—	53	4	no	—
1581	C₂×D₄	—	53	4	no	—
1582	C₂×D₄	—	53	4	no	—
1583	C₂×D₄	—	53	4	no	—
1584	C₂×D₄	—	53	4	no	—
1585	C₂×D₄	—	53	4	no	—
1586	C₂×D₄	—	53	4	no	—
1587	C₂×D₄	—	53	4	no	—
1588	C₂×D₄	—	53	4	no	—
1589	C₂×D₄	—	106	4	no	—
1590	C₂×D₄	—	106	4	no	—
1591	C₂×D₄	—	106	4	no	—
1592	C₂×D₄	—	106	4	no	—
1593	C₂×D₄	—	106	4	no	—
1594	C₂×D₄	—	106	32	no	—
1595	C₂×D₄	—	106	4	no	—
1596	C₂×D₄	—	106	4	no	—
1597	C₂×D₄	—	106	4	no	—
1598	C₂×D₄	—	212	2	no	—
1599	C₂×D₄	—	212	2	no	—
1600	C₂×D₄	—	212	2	no	—
1601	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1602	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1603	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1604	C₂²×C₄	—	2	4	no	—
1605	C₂²×C₄	—	4	2	no	—
1606	C₂²×C₄	—	4	2	no	—
1607	C₂²×C₄	—	4	2	no	—
1608	C₂²×C₄	—	4	2	no	—
1609	C₂²×C₄	—	53	1	no	—
1610	C₂²×C₄	—	53	1	no	—
1611	C₂²×C₄	—	53	4	no	—
1612	C₂²×C₄	—	53	4	no	—
1613	C₂²×C₄	—	53	4	no	—
1614	C₂²×C₄	—	53	4	no	—
1615	C₂²×C₄	—	53	1	no	—
1616	C₂²×C₄	—	53	1	no	—
1617	C₂²×C₄	—	53	1	no	—
1618	C₂²×C₄	—	53	1	no	—
1619	C₂²×C₄	—	53	1	no	—
1620	C₂²×C₄	—	53	1	no	—
1621	C₂²×C₄	—	53	1	no	—
1622	C₂²×C₄	—	53	1	no	—
1623	C₂²×C₄	—	53	1	no	—
1624	C₂²×C₄	—	53	1	no	—
1625	C₂²×C₄	—	53	4	no	—
1626	C₂²×C₄	—	53	4	no	—
1627	C₂²×C₄	—	53	4	no	—
1628	C₂²×C₄	—	53	4	no	—
1629	C₂²×C₄	—	53	4	no	—
1630	C₂²×C₄	—	53	4	no	—
1631	C₂²×C₄	—	53	4	no	—
1632	C₂²×C₄	—	53	4	no	—
1633	C₂²×C₄	—	53	4	no	—
1634	C₂²×C₄	—	53	4	no	—
1635	C₂²×C₄	—	53	4	no	—
1636	C₂²×C₄	—	53	4	no	—
1637	C₂²×C₄	—	53	4	no	—
1638	C₂²×C₄	—	53	4	no	—
1639	C₂²×C₄	—	53	4	no	—
1640	C₂²×C₄	—	53	4	no	—
1641	C₂²×C₄	—	53	4	no	—
1642	C₂²×C₄	—	53	4	no	—
1643	C₂²×C₄	—	106	4	no	—
1644	C₂²×C₄	—	106	4	no	—
1645	C₂²×C₄	—	106	4	no	—
1646	C₂²×C₄	—	106	4	no	—
1647	C₂²×C₄	—	106	4	no	—
1648	C₂²×C₄	—	106	4	no	—
1649	C₂²×C₄	—	106	4	no	—
1650	C₂²×C₄	—	106	4	no	—
1651	C₂²×C₄	—	106	4	no	—
1652	C₂²×C₄	—	106	4	no	—
1653	C₂²×C₄	—	106	4	no	—
1654	C₂²×C₄	—	106	4	no	—
1655	C₂²×C₄	—	212	2	no	—
1656	C₂²×C₄	—	212	2	no	—
1657	C₂²×C₄	—	212	2	no	—
1658	C₂²×C₄	—	212	2	no	—
1659	C₂²×C₄	—	212	2	no	—
1660	C₂²×C₄	—	212	2	no	—
1661	C₂²×C₄	—	212	2	no	—
1662	C₂²×C₄	—	212	2	no	—
1663	C₂²×C₄	—	212	16	no	—
1664	C₂²×C₄	—	212	16	no	—
1665	C₂²×C₄	—	212	2	no	—
1666	C₂²×C₄	—	212	2	no	—
1667	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1668	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1669	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1670	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1671	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1672	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1673	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1674	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1675	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1676	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1677	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1678	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1679	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1680	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1681	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1682	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1683	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1684	C₄⋊C₄	—	53	4	no	—
1685	C₄⋊C₄	—	53	4	no	—
1686	C₄⋊C₄	—	53	4	no	—
1687	C₄⋊C₄	—	53	4	no	—
1688	C₄⋊C₄	—	53	4	no	—
1689	C₄⋊C₄	—	53	4	no	—
1690	C₄⋊C₄	—	53	4	no	—
1691	C₄⋊C₄	—	53	4	no	—
1692	C₄⋊C₄	—	53	4	no	—
1693	C₄⋊C₄	—	53	4	no	—
1694	C₄⋊C₄	—	53	4	no	—
1695	C₄⋊C₄	—	53	4	no	—
1696	C₄⋊C₄	—	53	4	no	—
1697	C₄⋊C₄	—	53	4	no	—
1698	C₄⋊C₄	—	53	4	no	—
1699	C₄⋊C₄	—	53	4	no	—
1700	C₄⋊C₄	—	53	4	no	—
1701	C₄⋊C₄	—	53	4	no	—
1702	C₄⋊C₄	—	53	4	no	—
1703	C₄⋊C₄	—	53	4	no	—
1704	C₄⋊C₄	—	53	4	no	—
1705	C₄⋊C₄	—	53	4	no	—
1706	C₄⋊C₄	—	53	4	no	—
1707	C₄⋊C₄	—	53	4	no	—
1708	C₄⋊C₄	—	53	4	no	—
1709	C₄⋊C₄	—	53	4	no	—
1710	C₄⋊C₄	—	53	4	no	—
1711	C₄⋊C₄	—	53	4	no	—
1712	C₄⋊C₄	—	53	4	no	—
1713	C₄⋊C₄	—	53	4	no	—
1714	C₄⋊C₄	—	53	4	no	—
1715	C₄⋊C₄	—	53	4	no	—
1716	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1717	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1718	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1719	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1720	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1721	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1722	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1723	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1724	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1725	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1726	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1727	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1728	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1729	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1730	C₂²⋊C₄	—	53	4	no	—
1731	C₂²⋊C₄	—	53	4	no	—
1732	C₂²⋊C₄	—	53	4	no	—
1733	C₂²⋊C₄	—	53	4	no	—
1734	C₂²⋊C₄	—	53	4	no	—
1735	C₂²⋊C₄	—	53	4	no	—
1736	C₂²⋊C₄	—	53	4	no	—
1737	C₂²⋊C₄	—	53	4	no	—
1738	C₂²⋊C₄	—	53	4	no	—
1739	C₂²⋊C₄	—	53	4	no	—
1740	C₂²⋊C₄	—	53	4	no	—
1741	C₂²⋊C₄	—	53	4	no	—
1742	C₂²⋊C₄	—	53	4	no	—
1743	C₂²⋊C₄	—	53	4	no	—
1744	C₂²⋊C₄	—	53	4	no	—
1745	C₂²⋊C₄	—	53	4	no	—
1746	C₂²⋊C₄	—	53	4	no	—
1747	C₂²⋊C₄	—	53	4	no	—
1748	C₂²⋊C₄	—	53	4	no	—
1749	C₂²⋊C₄	—	53	4	no	—
1750	C₂²⋊C₄	—	53	4	no	—
1751	C₂²⋊C₄	—	53	4	no	—
1752	C₂²⋊C₄	—	53	4	no	—
1753	C₂²⋊C₄	—	53	4	no	—
1754	C₂²⋊C₄	—	53	4	no	—
1755	C₂²⋊C₄	—	53	4	no	—
1756	C₂²⋊C₄	—	53	4	no	—
1757	C₂²⋊C₄	—	53	4	no	—
1758	C₂²⋊C₄	—	53	4	no	—
1759	C₂²⋊C₄	—	53	4	no	—
1760	C₂²⋊C₄	—	53	4	no	—
1761	C₂²⋊C₄	—	53	4	no	—
1762	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1763	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1764	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1765	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1766	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1767	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1768	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1769	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1770	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1771	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1772	C₄²	—	53	4	no	—
1773	C₄²	—	53	4	no	—
1774	C₄²	—	53	4	no	—
1775	C₄²	—	53	4	no	—
1776	C₄²	—	53	4	no	—
1777	C₄²	—	53	4	no	—
1778	C₄²	—	53	4	no	—
1779	C₄²	—	53	4	no	—
1780	C₄²	—	53	4	no	—
1781	C₄²	—	53	4	no	—
1782	C₄²	—	53	4	no	—
1783	C₄²	—	53	4	no	—
1784	C₄²	C₂³×D₅₃	1	4	yes	—
1785	C₄²	C₂³×D₅₃	1	4	yes	—
1786	C₂³	—	2	2	no	—
1787	C₂³	—	2	2	no	—
1788	C₂³	—	2	2	no	—
1789	C₂³	—	2	2	no	—
1790	C₂³	—	2	2	no	—
1791	C₂³	—	2	2	no	—
1792	C₂³	—	2	2	no	—
1793	C₂³	—	2	2	no	—
1794	C₂³	—	53	4	no	—
1795	C₂³	—	53	4	no	—
1796	C₂³	—	53	2	no	—
1797	C₂³	—	53	2	no	—
1798	C₂³	—	53	2	no	—
1799	C₂³	—	53	2	no	—
1800	C₂³	—	106	8	no	—
1801	C₂³	—	106	8	no	—
1802	C₂³	—	106	8	no	—
1803	C₂³	—	106	2	no	—
1804	C₂³	—	106	2	no	—
1805	C₂³	—	106	2	no	—
1806	C₂³	—	106	2	no	—
1807	C₂³	—	106	2	no	—
1808	C₂³	—	106	8	no	—
1809	C₂³	—	106	2	no	—
1810	C₂³	—	106	2	no	—
1811	C₂³	—	106	2	no	—
1812	C₂³	—	106	2	no	—
1813	C₂³	—	106	2	no	—
1814	C₂³	—	212	4	no	—
1815	C₂³	—	212	4	no	—
1816	C₂³	—	212	16	no	—
1817	C₂³	—	212	16	no	—
1818	C₂³	#41×D₅₃	1	4	yes	—
1819	C₂³	C₂⁴×D₅₃	1	2	yes	—
1820	C₂³	C₂⁴×D₅₃	1	2	yes	—
1821	C₂³	C₂⁴×D₅₃	1	2	yes	—
1822	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1823	Q₈	—	4	4	no	—
1824	Q₈	—	106	8	no	—
1825	Q₈	—	106	8	no	—
1826	Q₈	—	106	8	no	—
1827	Q₈	—	106	8	no	—
1828	Q₈	—	106	8	no	—
1829	Q₈	—	212	4	no	—
1830	Q₈	—	212	4	no	—
1831	Q₈	—	212	4	no	—
1832	D₄	—	2	8	no	—
1833	D₄	—	2	8	no	—
1834	D₄	—	4	4	no	—
1835	D₄	—	53	16	no	—
1836	D₄	—	106	8	no	—
1837	D₄	—	106	8	no	—
1838	D₄	—	106	8	no	—
1839	D₄	—	106	8	no	—
1840	D₄	—	106	8	no	—
1841	D₄	—	106	8	no	—
1842	D₄	—	106	8	no	—
1843	D₄	—	106	8	no	—
1844	D₄	—	212	4	no	—
1845	D₄	—	212	4	no	—
1846	D₄	—	212	4	no	—
1847	C₂×C₄	—	2	2	no	—
1848	C₂×C₄	—	2	2	no	—
1849	C₂×C₄	—	2	8	no	—
1850	C₂×C₄	—	2	2	no	—
1851	C₂×C₄	—	2	2	no	—
1852	C₂×C₄	—	2	2	no	—
1853	C₂×C₄	—	2	2	no	—
1854	C₂×C₄	—	2	2	no	—
1855	C₂×C₄	—	2	2	no	—
1856	C₂×C₄	—	2	2	no	—
1857	C₂×C₄	—	2	2	no	—
1858	C₂×C₄	—	2	2	no	—
1859	C₂×C₄	—	2	2	no	—
1860	C₂×C₄	—	4	4	no	—
1861	C₂×C₄	—	4	4	no	—
1862	C₂×C₄	—	4	4	no	—
1863	C₂×C₄	—	4	4	no	—
1864	C₂×C₄	—	53	4	no	—
1865	C₂×C₄	—	53	4	no	—
1866	C₂×C₄	—	53	2	no	—
1867	C₂×C₄	—	53	2	no	—
1868	C₂×C₄	—	53	2	no	—
1869	C₂×C₄	—	53	2	no	—
1870	C₂×C₄	—	53	2	no	—
1871	C₂×C₄	—	53	2	no	—
1872	C₂×C₄	—	53	2	no	—
1873	C₂×C₄	—	53	2	no	—
1874	C₂×C₄	—	53	2	no	—
1875	C₂×C₄	—	53	2	no	—
1876	C₂×C₄	—	53	2	no	—
1877	C₂×C₄	—	53	2	no	—
1878	C₂×C₄	—	106	8	no	—
1879	C₂×C₄	—	106	8	no	—
1880	C₂×C₄	—	106	8	no	—
1881	C₂×C₄	—	106	8	no	—
1882	C₂×C₄	—	106	8	no	—
1883	C₂×C₄	—	106	8	no	—
1884	C₂×C₄	—	106	8	no	—
1885	C₂×C₄	—	106	8	no	—
1886	C₂×C₄	—	106	8	no	—
1887	C₂×C₄	—	106	8	no	—
1888	C₂×C₄	—	106	8	no	—
1889	C₂×C₄	—	106	2	no	—
1890	C₂×C₄	—	106	2	no	—
1891	C₂×C₄	—	106	2	no	—
1892	C₂×C₄	—	106	8	no	—
1893	C₂×C₄	—	106	2	no	—
1894	C₂×C₄	—	106	2	no	—
1895	C₂×C₄	—	106	2	no	—
1896	C₂×C₄	—	106	2	no	—
1897	C₂×C₄	—	106	2	no	—
1898	C₂×C₄	—	106	2	no	—
1899	C₂×C₄	—	106	2	no	—
1900	C₂×C₄	—	212	4	no	—
1901	C₂×C₄	—	212	4	no	—
1902	C₂×C₄	—	212	4	no	—
1903	C₂×C₄	—	212	4	no	—
1904	C₂×C₄	—	212	4	no	—
1905	C₂×C₄	—	212	4	no	—
1906	C₂×C₄	—	212	4	no	—
1907	C₂×C₄	—	212	4	no	—
1908	C₂×C₄	—	212	4	no	—
1909	C₂×C₄	—	212	4	no	—
1910	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1911	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1912	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1913	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1914	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1915	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1916	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1917	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1918	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1919	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1920	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1921	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1922	C₂²	—	2	2	no	—
1923	C₂²	—	2	2	no	—
1924	C₂²	—	2	8	no	—
1925	C₂²	—	2	2	no	—
1926	C₂²	—	2	2	no	—
1927	C₂²	—	2	2	no	—
1928	C₂²	—	2	2	no	—
1929	C₂²	—	2	2	no	—
1930	C₂²	—	2	2	no	—
1931	C₂²	—	4	4	no	—
1932	C₂²	—	4	4	no	—
1933	C₂²	—	53	4	no	—
1934	C₂²	—	53	4	no	—
1935	C₂²	—	106	2	no	—
1936	C₂²	—	106	2	no	—
1937	C₂²	—	106	2	no	—
1938	C₂²	—	106	2	no	—
1939	C₂²	—	106	8	no	—
1940	C₂²	—	106	8	no	—
1941	C₂²	—	106	2	no	—
1942	C₂²	—	106	2	no	—
1943	C₂²	—	106	2	no	—
1944	C₂²	—	106	2	no	—
1945	C₂²	—	106	2	no	—
1946	C₂²	—	106	2	no	—
1947	C₂²	—	212	16	no	—
1948	C₂²	—	212	16	no	—
1949	C₂²	—	212	4	no	—
1950	C₂²	—	212	4	no	—
1951	C₂²	C₂×#41×D₅₃	1	4	yes	—
1952	C₂²	C₂×#41×D₅₃	1	2	yes	—
1953	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
1954	C₂²	2₋¹⁺⁴×D₅₃	1	2	yes	—
1955	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1956	C₄	—	2	2	no	—
1957	C₄	—	2	2	no	—
1958	C₄	—	2	2	no	—
1959	C₄	—	2	2	no	—
1960	C₄	—	2	2	no	—
1961	C₄	—	2	2	no	—
1962	C₄	—	2	2	no	—
1963	C₄	—	2	2	no	—
1964	C₄	—	2	2	no	—
1965	C₄	—	2	2	no	—
1966	C₄	—	2	2	no	—
1967	C₄	—	2	2	no	—
1968	C₄	—	53	4	no	—
1969	C₄	—	53	4	no	—
1970	C₄	—	106	2	no	—
1971	C₄	—	106	2	no	—
1972	C₄	—	106	2	no	—
1973	C₄	—	106	2	no	—
1974	C₄	—	106	2	no	—
1975	C₄	—	106	2	no	—
1976	C₄	—	106	2	no	—
1977	C₄	—	106	2	no	—
1978	C₄	—	106	2	no	—
1979	C₄	—	106	2	no	—
1980	C₂	—	2	4	no	—
1981	C₂	—	4	2	no	—
1982	C₂	—	4	2	no	—
1983	C₂	—	106	4	no	—
1984	C₂	—	106	4	no	—
1985	C₂	—	212	2	no	—
1986	C₂	—	212	2	no	—
1987	C₂	#20288756	1	4	yes	direct product factor
1988	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
1989	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1990	C₂	C₂×2₋¹⁺⁴×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#539	C₂
socle	C₂³×C₅₃	C₂⁵
hypercenter	C₂×#539	D₅₃
hypocenter	C₅₃	C₂×#3520
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#539

Complements

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

N	H ≅ G/N	type
1. #20288756	C₂	direct (N × H)
2. C₂×#16811340	C₂	semidirect
3. C₂×#16811329	C₂	semidirect
4. C₂×#16811327	C₂	semidirect
5. C₂×#16811310	C₂	semidirect
6. C₂×#16811305	C₂	semidirect
7. C₂×#16811301	C₂	semidirect
8. C₂×#16811300	C₂	semidirect
9. C₂×#16811298	C₂	semidirect
10. C₂×#16811296	C₂	semidirect
11. C₂×#16811286	C₂	semidirect
12. C₂×#16811283	C₂	semidirect
13. C₂×#16811279	C₂	semidirect
14. C₂×#16811271	C₂	semidirect
15. C₂×#16811271	C₂	semidirect
16. C₂×#16811265	C₂	semidirect
17. C₂×#16811262	C₂	semidirect
18. C₂×#16811243	C₂	semidirect
19. C₂×#16811241	C₂	semidirect
20. C₂×#16811221	C₂	semidirect
21. C₂×#16811215	C₂	semidirect
22. C₂×#16811214	C₂	semidirect
23. C₂×#16811179	C₂	semidirect
24. C₂×#16811156	C₂	semidirect
25. C₂×#16811132	C₂	semidirect
26. C₂×#16811131	C₂	semidirect
27. C₂²×#13133195	C₂	semidirect
28. C₂×C₂²⋊Q₈×D₅₃	C₂	semidirect
29. C₂×#16811104	C₂	semidirect
30. C₂×#16811102	C₂	semidirect
31. C₂×C₄×D₄×D₅₃	C₂	semidirect
32. C₂×C₅₃×#539	C₂	semidirect
34. C₂²×#11719945	C₂²	semidirect
36. C₂²×#11719947	C₂²	semidirect
37. C₂³×Dic₁₀₆	C₂²	semidirect
38. C₂²×Q₈×D₅₃	C₂²	semidirect
42. #16811340	C₂²	semidirect
43. #16811329	C₂²	semidirect
44. #16811327	C₂²	semidirect
45. #16811310	C₂²	semidirect
46. #16811305	C₂²	semidirect
47. #16811301	C₂²	semidirect
48. #16811300	C₂²	semidirect
49. #16811298	C₂²	semidirect
50. #16811296	C₂²	semidirect
51. #16811286	C₂²	semidirect
52. #16811283	C₂²	semidirect
53. #16811279	C₂²	semidirect
54. #16811271	C₂²	semidirect
55. #16811271	C₂²	semidirect
56. #16811265	C₂²	semidirect
57. #16811262	C₂²	semidirect
58. #16811243	C₂²	semidirect
59. #16811241	C₂²	semidirect
60. #16811221	C₂²	semidirect
61. #16811215	C₂²	semidirect
62. #16811214	C₂²	semidirect
63. #16811179	C₂²	semidirect
64. C₂×#13133216	C₂²	semidirect
65. C₂×#13133216	C₂²	semidirect
66. C₂×#13133216	C₂²	semidirect
67. C₂×#13133215	C₂²	semidirect
68. #16811156	C₂²	semidirect
69. C₂×#13133212	C₂²	semidirect
70. C₂×#13133212	C₂²	semidirect
71. C₂×#13133212	C₂²	semidirect
72. C₂×#13133212	C₂²	semidirect
73. C₂×#13133211	C₂²	semidirect
74. C₂×#13133210	C₂²	semidirect
75. C₂×#13133210	C₂²	semidirect
76. C₂×#13133210	C₂²	semidirect
77. C₂×#13133209	C₂²	semidirect
78. C₂×#13133208	C₂²	semidirect
79. C₂×#13133207	C₂²	semidirect
80. C₂×#13133207	C₂²	semidirect
81. C₂×#13133207	C₂²	semidirect
82. C₂×#13133206	C₂²	semidirect
83. C₂×#13133204	C₂²	semidirect
86. C₂×#13133203	C₂²	semidirect
87. C₂×#13133203	C₂²	semidirect
88. C₂×#13133203	C₂²	semidirect
89. #16811132	C₂²	semidirect
90. #16811131	C₂²	semidirect
94. C₂×#13133202	C₂²	semidirect
95. C₂×#13133202	C₂²	semidirect
96. C₂×#13133202	C₂²	semidirect
97. C₂×#13133201	C₂²	semidirect
98. C₂×#13133201	C₂²	semidirect
99. C₂×#13133200	C₂²	semidirect
101. C₂×#13133199	C₂²	semidirect
102. C₂×#13133199	C₂²	semidirect
103. C₂×#13133199	C₂²	semidirect
106. C₂×#13133197	C₂²	semidirect
107. C₂×#13133197	C₂²	semidirect
108. C₂×#13133196	C₂²	semidirect
116. C₂×#13133195	C₂²	semidirect
117. C₂×#13133195	C₂²	semidirect
118. C₂×#13133195	C₂²	semidirect
119. C₂×#13133195	C₂²	semidirect
120. C₂×#13133195	C₂²	semidirect
121. C₂×#13133195	C₂²	semidirect
122. C₂×#13133195	C₂²	semidirect
123. C₂×#13133195	C₂²	semidirect
124. C₂×#13133195	C₂²	semidirect
125. C₂×#13133194	C₂²	semidirect
126. C₂×#13133194	C₂²	semidirect
127. C₂×#13133194	C₂²	semidirect
128. C₂×#13133194	C₂²	semidirect
129. C₂×#13133194	C₂²	semidirect
130. C₂×#13133194	C₂²	semidirect
132. C₂²⋊Q₈×D₅₃	C₂²	semidirect
137. C₂×#13133190	C₂²	semidirect
140. C₂×#13133189	C₂²	semidirect
145. #16811104	C₂²	semidirect
146. #16811102	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
152. C₂×#13133182	C₂²	semidirect
153. C₂×#13133182	C₂²	semidirect
157. C₂×D₄×Dic₅₃	C₂²	semidirect
161. C₂×#13133179	C₂²	semidirect
162. C₂×#13133179	C₂²	semidirect
167. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
168. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
169. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
175. C₂×#13133177	C₂²	semidirect
176. C₂×#13133177	C₂²	semidirect
177. C₄×D₄×D₅₃	C₂²	semidirect
178. C₂×#13133176	C₂²	semidirect
181. C₂×#13133175	C₂²	semidirect
182. C₂×#13133175	C₂²	semidirect
183. C₂×#13133174	C₂²	semidirect
184. C₂×#13133174	C₂²	semidirect
185. C₂×#13133173	C₂²	semidirect
186. C₂×#13133173	C₂²	semidirect
187. C₂×#13133173	C₂²	semidirect
188. C₂²×#11719919	C₂²	semidirect
189. C₂²×#11719919	C₂²	semidirect
190. C₂²×#11719919	C₂²	semidirect
192. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
193. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
194. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
195. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
203. C₅₃×#539	C₂²	semidirect
204. C₂×#126×C₅₃	C₂²	semidirect
205. C₂×#126×C₅₃	C₂²	semidirect
206. C₂×#125×C₅₃	C₂²	semidirect
207. C₂×#125×C₅₃	C₂²	semidirect
209. C₂×#123×C₅₃	C₂²	semidirect
210. C₂×#123×C₅₃	C₂²	semidirect
211. C₂×#123×C₅₃	C₂²	semidirect
212. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
213. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
214. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
217. C₂×C₄×D₄×C₅₃	C₂²	semidirect
218. C₂²×C₄⋊C₄×C₅₃	C₂²	semidirect
224. C₂×#11719945	C₂³	semidirect
228. C₂×#11719947	C₂³	semidirect
238. C₂²×Dic₁₀₆	C₂³	semidirect
240. C₂×Q₈×D₅₃	C₂³	semidirect
281. #13133216	C₂³	semidirect
282. #13133216	C₂³	semidirect
283. #13133216	C₂³	semidirect
284. #13133215	C₂³	semidirect
285. #13133212	C₂³	semidirect
286. #13133212	C₂³	semidirect
287. #13133212	C₂³	semidirect
288. #13133212	C₂³	semidirect
289. #13133211	C₂³	semidirect
290. #13133210	C₂³	semidirect
291. #13133210	C₂³	semidirect
292. #13133210	C₂³	semidirect
293. #13133209	C₂³	semidirect
294. #13133208	C₂³	semidirect
295. #13133207	C₂³	semidirect
296. #13133207	C₂³	semidirect
297. #13133207	C₂³	semidirect
298. #13133206	C₂³	semidirect
299. #13133204	C₂³	semidirect
302. #13133203	C₂³	semidirect
303. #13133203	C₂³	semidirect
304. #13133203	C₂³	semidirect
308. #13133202	C₂³	semidirect
309. #13133202	C₂³	semidirect
310. #13133202	C₂³	semidirect
311. #13133201	C₂³	semidirect
312. #13133201	C₂³	semidirect
313. #13133200	C₂³	semidirect
315. #13133199	C₂³	semidirect
316. #13133199	C₂³	semidirect
317. #13133199	C₂³	semidirect
320. #13133197	C₂³	semidirect
321. #13133197	C₂³	semidirect
322. #13133196	C₂³	semidirect
330. #13133195	C₂³	semidirect
331. #13133195	C₂³	semidirect
332. #13133195	C₂³	semidirect
333. #13133195	C₂³	semidirect
334. #13133195	C₂³	semidirect
335. #13133195	C₂³	semidirect
336. #13133195	C₂³	semidirect
337. #13133195	C₂³	semidirect
338. #13133194	C₂³	semidirect
339. #13133194	C₂³	semidirect
340. #13133194	C₂³	semidirect
341. #13133194	C₂³	semidirect
342. #13133194	C₂³	semidirect
343. #13133194	C₂³	semidirect
349. #13133190	C₂³	semidirect
352. #13133189	C₂³	semidirect
357. C₄×Dic₁₀₆	C₂³	semidirect
358. #13133182	C₂³	semidirect
359. #13133182	C₂³	semidirect
360. #13133182	C₂³	semidirect
361. #13133182	C₂³	semidirect
362. #13133182	C₂³	semidirect
363. #13133182	C₂³	semidirect
367. D₄×Dic₅₃	C₂³	semidirect
371. #13133179	C₂³	semidirect
372. #13133179	C₂³	semidirect
377. C₄×C₂²⋊D₅₃	C₂³	semidirect
378. C₄×C₂²⋊D₅₃	C₂³	semidirect
379. C₄×C₂²⋊D₅₃	C₂³	semidirect
385. #13133177	C₂³	semidirect
386. #13133177	C₂³	semidirect
387. #13133176	C₂³	semidirect
390. #13133175	C₂³	semidirect
391. #13133175	C₂³	semidirect
392. #13133174	C₂³	semidirect
393. #13133174	C₂³	semidirect
394. #13133173	C₂³	semidirect
395. #13133173	C₂³	semidirect
396. #13133173	C₂³	semidirect
429. C₂×#11719919	C₂³	semidirect
430. C₂×#11719919	C₂³	semidirect
431. C₂×#11719919	C₂³	semidirect
433. C₄⋊C₄×D₅₃	C₂³	semidirect
434. C₄⋊C₄×D₅₃	C₂³	semidirect
435. C₄⋊C₄×D₅₃	C₂³	semidirect
436. C₄⋊C₄×D₅₃	C₂³	semidirect
497. #126×C₅₃	C₂³	semidirect
498. #126×C₅₃	C₂³	semidirect
499. #125×C₅₃	C₂³	semidirect
500. #125×C₅₃	C₂³	semidirect
502. #123×C₅₃	C₂³	semidirect
503. #123×C₅₃	C₂³	semidirect
504. #123×C₅₃	C₂³	semidirect
505. C₂²⋊Q₈×C₅₃	C₂³	semidirect
506. C₂²⋊Q₈×C₅₃	C₂³	semidirect
507. C₂²⋊Q₈×C₅₃	C₂³	semidirect
510. C₄×D₄×C₅₃	C₂³	semidirect
525. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
590. C₂×C₂²⋊D₅₃	#41	semidirect
867. C₂²⋊D₅₃	C₂×#41	semidirect
1007. C₂×#539	D₅₃	semidirect
1020. C₂×C₅₃	#3520	semidirect
1058. #539	C₂×D₅₃	semidirect
1073. C₂×#126	C₂×D₅₃	semidirect
1074. C₂×#126	C₂×D₅₃	semidirect
1080. C₂×#125	C₂×D₅₃	semidirect
1081. C₂×#125	C₂×D₅₃	semidirect
1106. C₂×#123	C₂×D₅₃	semidirect
1107. C₂×#123	C₂×D₅₃	semidirect
1108. C₂×#123	C₂×D₅₃	semidirect
1137. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1138. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1139. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1187. C₂×C₄×D₄	C₂×D₅₃	semidirect
1206. C₂²×C₄⋊C₄	C₂×D₅₃	semidirect
1214. C₅₃	C₂×#3520	semidirect
1298. #126	C₂²×D₅₃	semidirect
1299. #126	C₂²×D₅₃	semidirect
1305. #125	C₂²×D₅₃	semidirect
1306. #125	C₂²×D₅₃	semidirect
1329. #123	C₂²×D₅₃	semidirect
1330. #123	C₂²×D₅₃	semidirect
1331. #123	C₂²×D₅₃	semidirect
1358. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1359. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1360. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1405. C₄×D₄	C₂²×D₅₃	semidirect
1470. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1987. C₂	#20288756	direct (N × H)

Maximal subgroups

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

subgroup	index
#20288756	2
C₂×#16811340	2
C₂×#16811329	2
C₂×#16811327	2
C₂×#16811310	2
C₂×#16811305	2
C₂×#16811301	2
C₂×#16811300	2
C₂×#16811298	2
C₂×#16811296	2
C₂×#16811286	2
C₂×#16811283	2
C₂×#16811279	2
C₂×#16811271	2
C₂×#16811265	2
C₂×#16811262	2
C₂×#16811243	2
C₂×#16811241	2
C₂×#16811221	2
C₂×#16811215	2
C₂×#16811214	2
C₂×#16811179	2
C₂×#16811156	2
C₂×#16811132	2
C₂×#16811131	2
C₂²×#13133195	2
C₂×C₂²⋊Q₈×D₅₃	2
C₂×#16811104	2
C₂×#16811102	2
C₂×C₄×D₄×D₅₃	2
C₂×C₅₃×#539	2
C₂×#3520	53

Subgroups — C2×#20288756 #28292101

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20288756 #28292101