Subgroups — C₂×#20289132 #28291559

Order 13568.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289132	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811375	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811374	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811363	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811362	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811338	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811335	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811324	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811322	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811310	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811309	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811299	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811298	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811283	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811281	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811263	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811260	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811226	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811224	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811223	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811208	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811207	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811205	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811202	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811200	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811193	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16811188	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811168	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811153	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16811150	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11719945	C₂²	1	1	yes	characteristic
34	C₂²×#11719947	C₂²	1	1	yes	characteristic
35	C₂²×#11719947	C₂²	1	1	yes	characteristic
36	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
37	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
38	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
39	#16811375	C₂²	1	16	yes	complemented
40	#16811374	C₂²	1	16	yes	complemented
41	#16811363	C₂²	1	16	yes	complemented
42	#16811362	C₂²	1	16	yes	complemented
43	#16811338	C₂²	1	16	yes	complemented
44	#16811335	C₂²	1	16	yes	complemented
45	#16811324	C₂²	1	16	yes	complemented
46	#16811322	C₂²	1	16	yes	complemented
47	#16811310	C₂²	1	16	yes	complemented
48	#16811309	C₂²	1	16	yes	complemented
49	#16811299	C₂²	1	16	yes	complemented
50	#16811298	C₂²	1	16	yes	complemented
51	#16811283	C₂²	1	16	yes	complemented
52	#16811281	C₂²	1	16	yes	complemented
53	#16811263	C₂²	1	16	yes	complemented
54	#16811260	C₂²	1	16	yes	complemented
55	#16811226	C₂²	1	16	yes	complemented
56	#16811225	C₂²	1	16	yes	complemented
57	#16811224	C₂²	1	16	yes	complemented
58	#16811223	C₂²	1	16	yes	complemented
59	#16811208	C₂²	1	16	yes	complemented
60	#16811207	C₂²	1	16	yes	complemented
61	#16811205	C₂²	1	16	yes	complemented
62	#16811202	C₂²	1	16	yes	complemented
63	#16811200	C₂²	1	16	yes	complemented
64	#16811193	C₂²	1	16	yes	complemented
65	#16811188	C₂²	1	16	yes	complemented
66	#16811168	C₂²	1	16	yes	complemented
67	C₂×#13133217	C₂²	1	1	yes	characteristic, complemented
68	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
69	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13133213	C₂²	1	1	yes	characteristic
71	C₂×#13133213	C₂²	1	1	yes	characteristic
72	C₂×#13133213	C₂²	1	1	yes	characteristic
73	#16811153	C₂²	1	16	yes	complemented
74	#16811150	C₂²	1	16	yes	complemented
75	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133210	C₂²	1	1	yes	characteristic
80	C₂×#13133210	C₂²	1	1	yes	characteristic
81	C₂×#13133210	C₂²	1	1	yes	characteristic
82	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133204	C₂²	1	1	yes	characteristic
93	C₂×#13133203	C₂²	1	1	yes	characteristic
94	C₂×#13133203	C₂²	1	1	yes	characteristic
95	C₂×#13133203	C₂²	1	1	yes	characteristic
96	C₂×#13133203	C₂²	1	1	yes	characteristic
97	C₂×#13133203	C₂²	1	1	yes	characteristic
98	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
101	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13133201	C₂²	1	1	yes	characteristic
104	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13133200	C₂²	1	1	yes	characteristic
107	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13133199	C₂²	1	1	yes	characteristic
110	C₂×#13133199	C₂²	1	1	yes	characteristic
111	C₂×#13133199	C₂²	1	1	yes	characteristic
112	C₂×#13133199	C₂²	1	1	yes	characteristic
113	C₂×#13133199	C₂²	1	1	yes	characteristic
114	C₂×#13133199	C₂²	1	1	yes	characteristic
115	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
117	C₂×#13133198	C₂²	1	1	yes	characteristic
118	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
119	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
120	C₂×#13133196	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×#13133194	C₂²	1	1	yes	characteristic
125	C₂×#13133194	C₂²	1	1	yes	characteristic
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, complemented
132	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
133	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
134	C₂×#13133191	C₂²	1	1	yes	characteristic
135	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
136	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
137	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
138	C₂×#13133190	C₂²	1	1	yes	characteristic
139	C₂×#13133190	C₂²	1	1	yes	characteristic
140	C₂×#13133190	C₂²	1	1	yes	characteristic
141	C₂×#13133190	C₂²	1	1	yes	characteristic
142	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
144	C₂×#13133190	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×#13133189	C₂²	1	1	yes	characteristic
149	C₂×#13133189	C₂²	1	1	yes	characteristic
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, complemented
154	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
155	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
156	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
157	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
158	C₂×#13133188	C₂²	1	1	yes	characteristic
159	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
160	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
161	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
162	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
163	C₂×#13133187	C₂²	1	1	yes	characteristic
164	C₂×#13133187	C₂²	1	1	yes	characteristic
165	C₂×#13133186	C₂²	1	1	yes	characteristic
166	C₂×#13133186	C₂²	1	1	yes	characteristic
167	C₂×#13133185	C₂²	1	1	yes	characteristic
168	C₂×#13133185	C₂²	1	1	yes	characteristic
169	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
173	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic
174	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
178	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
180	C₂×#13133177	C₂²	1	1	yes	characteristic
181	C₂×#13133177	C₂²	1	1	yes	characteristic
182	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
183	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
184	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
185	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
186	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
187	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
188	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
189	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
190	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
191	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
192	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
193	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
194	C₂×#13133173	C₂²	1	1	yes	characteristic
195	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
196	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
197	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
199	C₂²×C₂²⋊Dic₅₃	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	C₂²×C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₅₃×#538	C₂²	1	16	yes	complemented
204	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic
205	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
206	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
207	C₂×#124×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×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
211	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
212	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
214	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
215	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
216	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
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	C₂³	1	8	yes	—
222	C₂×#11719947	—	4	4	no	—
223	C₂×#11719947	—	4	4	no	—
224	C₂×#11719947	—	4	4	no	—
225	C₂×#11719947	C₂³	1	8	yes	—
226	C₂×#11719947	C₂³	1	8	yes	—
227	C₂×#11719947	C₂³	1	8	yes	complemented
228	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
229	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
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	C₂×Q₈×D₅₃	—	4	4	no	—
234	C₂×Q₈×D₅₃	C₂³	1	8	yes	complemented
235	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
236	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
237	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
238	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
239	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
240	C₂²×C₂²⋊D₅₃	—	4	4	no	—
241	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
242	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
243	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
244	C₂²×C₂²⋊D₅₃	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	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	8	yes	—
260	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
261	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
262	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
263	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
264	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
265	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
266	C₂³×Dic₅₃	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	#13133217	C₂³	1	8	yes	complemented
278	#13133216	C₂³	1	8	yes	complemented
279	#13133215	C₂³	1	8	yes	complemented
280	#13133213	C₂³	1	8	yes	—
281	#13133213	C₂³	1	8	yes	—
282	#13133213	C₂³	1	8	yes	—
283	#13133212	C₂³	1	8	yes	complemented
284	#13133212	C₂³	1	8	yes	complemented
285	#13133212	C₂³	1	8	yes	complemented
286	#13133211	C₂³	1	8	yes	complemented
287	#13133210	C₂³	1	8	yes	—
288	#13133210	C₂³	1	8	yes	—
289	#13133210	C₂³	1	8	yes	—
290	#13133210	C₂³	1	8	yes	complemented
291	#13133210	C₂³	1	8	yes	complemented
292	#13133210	C₂³	1	8	yes	complemented
293	#13133208	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	#13133207	C₂³	1	8	yes	complemented
299	#13133206	C₂³	1	8	yes	complemented
300	#13133204	C₂³	1	8	yes	—
301	#13133203	C₂³	1	8	yes	—
302	#13133203	C₂³	1	8	yes	—
303	#13133203	C₂³	1	8	yes	—
304	#13133203	C₂³	1	8	yes	—
305	#13133203	C₂³	1	8	yes	—
306	#13133203	C₂³	1	8	yes	complemented
307	#13133203	C₂³	1	8	yes	complemented
308	#13133203	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	—
312	#13133201	C₂³	1	8	yes	complemented
313	#13133201	C₂³	1	8	yes	complemented
314	#13133200	C₂³	1	8	yes	—
315	#13133200	C₂³	1	8	yes	complemented
316	#13133200	C₂³	1	8	yes	complemented
317	#13133199	C₂³	1	8	yes	—
318	#13133199	C₂³	1	8	yes	—
319	#13133199	C₂³	1	8	yes	—
320	#13133199	C₂³	1	8	yes	—
321	#13133199	C₂³	1	8	yes	—
322	#13133199	C₂³	1	8	yes	—
323	#13133199	C₂³	1	8	yes	complemented
324	#13133199	C₂³	1	8	yes	complemented
325	#13133198	C₂³	1	8	yes	—
326	#13133198	C₂³	1	8	yes	complemented
327	#13133197	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	#13133194	C₂³	1	8	yes	—
333	#13133194	C₂³	1	8	yes	—
334	#13133194	C₂³	1	8	yes	complemented
335	#13133194	C₂³	1	8	yes	complemented
336	#13133194	C₂³	1	8	yes	complemented
337	#13133194	C₂³	1	8	yes	complemented
338	#13133194	C₂³	1	8	yes	complemented
339	#13133193	C₂³	1	8	yes	complemented
340	#13133192	C₂³	1	8	yes	complemented
341	#13133192	C₂³	1	8	yes	complemented
342	#13133191	C₂³	1	8	yes	—
343	#13133191	C₂³	1	8	yes	complemented
344	#13133191	C₂³	1	8	yes	complemented
345	#13133191	C₂³	1	8	yes	complemented
346	#13133190	C₂³	1	8	yes	—
347	#13133190	C₂³	1	8	yes	—
348	#13133190	C₂³	1	8	yes	—
349	#13133190	C₂³	1	8	yes	—
350	#13133190	C₂³	1	8	yes	complemented
351	#13133190	C₂³	1	8	yes	complemented
352	#13133190	C₂³	1	8	yes	complemented
353	#13133190	C₂³	1	8	yes	complemented
354	#13133190	C₂³	1	8	yes	complemented
355	#13133190	C₂³	1	8	yes	complemented
356	#13133189	C₂³	1	8	yes	—
357	#13133189	C₂³	1	8	yes	—
358	#13133189	C₂³	1	8	yes	—
359	#13133189	C₂³	1	8	yes	—
360	#13133189	C₂³	1	8	yes	—
361	#13133189	C₂³	1	8	yes	complemented
362	#13133189	C₂³	1	8	yes	complemented
363	#13133189	C₂³	1	8	yes	complemented
364	#13133189	C₂³	1	8	yes	complemented
365	#13133189	C₂³	1	8	yes	complemented
366	#13133188	C₂³	1	8	yes	—
367	#13133188	C₂³	1	8	yes	complemented
368	#13133188	C₂³	1	8	yes	complemented
369	#13133188	C₂³	1	8	yes	complemented
370	#13133188	C₂³	1	8	yes	complemented
371	#13133187	C₂³	1	8	yes	—
372	#13133187	C₂³	1	8	yes	—
373	#13133186	C₂³	1	8	yes	—
374	#13133186	C₂³	1	8	yes	—
375	#13133185	C₂³	1	8	yes	—
376	#13133185	C₂³	1	8	yes	—
377	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
378	#13133182	C₂³	1	8	yes	complemented
379	C₄×D₂₁₂	C₂³	1	8	yes	complemented
380	C₄×D₂₁₂	C₂³	1	8	yes	complemented
381	D₄×Dic₅₃	C₂³	1	8	yes	—
382	D₄×Dic₅₃	C₂³	1	8	yes	complemented
383	#13133179	C₂³	1	8	yes	complemented
384	#13133179	C₂³	1	8	yes	complemented
385	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
386	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
387	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
388	#13133177	C₂³	1	8	yes	—
389	#13133177	C₂³	1	8	yes	—
390	#13133177	C₂³	1	8	yes	complemented
391	#13133177	C₂³	1	8	yes	complemented
392	#13133177	C₂³	1	8	yes	complemented
393	#13133177	C₂³	1	8	yes	complemented
394	#13133177	C₂³	1	8	yes	complemented
395	#13133176	C₂³	1	8	yes	complemented
396	#13133176	C₂³	1	8	yes	complemented
397	#13133175	C₂³	1	8	yes	complemented
398	#13133175	C₂³	1	8	yes	complemented
399	#13133174	C₂³	1	8	yes	complemented
400	#13133174	C₂³	1	8	yes	complemented
401	#13133174	C₂³	1	8	yes	complemented
402	#13133173	C₂³	1	8	yes	—
403	#13133173	C₂³	1	8	yes	complemented
404	#13133173	C₂³	1	8	yes	complemented
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	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	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	8	yes	complemented
436	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
437	C₂×C₂²⋊Dic₅₃	C₂³	1	8	yes	—
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×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
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×#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	C₂×#11719921	C₂³	1	1	yes	characteristic
472	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
473	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
474	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
475	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
476	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
478	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
479	C₂×C₄×Dic₅₃	C₂³	1	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	8	yes	complemented
485	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
486	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
487	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
488	C₂²×D₄×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	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
493	C₂²×D₄×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	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
498	#126×C₅₃	C₂³	1	8	yes	—
499	#126×C₅₃	C₂³	1	8	yes	complemented
500	#124×C₅₃	C₂³	1	8	yes	—
501	#124×C₅₃	C₂³	1	8	yes	complemented
502	#123×C₅₃	C₂³	1	8	yes	—
503	#123×C₅₃	C₂³	1	8	yes	complemented
504	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
505	#121×C₅₃	C₂³	1	8	yes	—
506	#121×C₅₃	C₂³	1	8	yes	complemented
507	#121×C₅₃	C₂³	1	8	yes	complemented
508	#120×C₅₃	C₂³	1	8	yes	—
509	#120×C₅₃	C₂³	1	8	yes	—
510	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
511	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
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×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	—
519	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
520	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
521	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
522	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
523	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
524	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
525	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
526	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
527	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
528	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
529	C₂×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×C₄²×C₅₃	C₂³	1	1	yes	characteristic
534	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
535	C₂⁴×C₅₃	—	4	2	no	—
536	C₂⁴×C₅₃	—	4	2	no	—
537	C₂⁴×C₅₃	—	4	2	no	—
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	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
542	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
543	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
544	C₂³×D₅₃	—	4	2	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	1	yes	characteristic
550	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
551	C₂³×D₅₃	C₂⁴	1	4	yes	—
552	C₂×Q₈×C₅₃	—	4	2	no	—
553	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
554	C₂×D₄×C₅₃	—	4	2	no	—
555	C₂×D₄×C₅₃	—	4	2	no	—
556	C₂×D₄×C₅₃	—	4	2	no	—
557	C₂×D₄×C₅₃	—	4	2	no	—
558	C₂×D₄×C₅₃	—	4	2	no	—
559	C₂×D₄×C₅₃	—	4	2	no	—
560	C₂×D₄×C₅₃	—	4	2	no	—
561	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
562	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
563	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
564	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
565	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
566	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
567	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
568	C₂²×C₄×C₅₃	—	4	2	no	—
569	C₂²×C₄×C₅₃	—	4	2	no	—
570	C₂²×C₄×C₅₃	—	4	2	no	—
571	C₂²×C₄×C₅₃	—	4	2	no	—
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	1	yes	characteristic
579	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
583	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
584	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
585	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
586	C₂×C₂²⋊D₅₃	—	2	4	no	—
587	C₂×C₂²⋊D₅₃	—	2	4	no	—
588	C₂×C₂²⋊D₅₃	—	4	16	no	—
589	C₂×C₂²⋊D₅₃	—	4	2	no	—
590	C₂×C₂²⋊D₅₃	—	4	2	no	—
591	C₂×C₂²⋊D₅₃	—	4	2	no	—
592	C₂×C₂²⋊D₅₃	—	4	2	no	—
593	C₂×C₂²⋊D₅₃	—	4	2	no	—
594	C₂×C₂²⋊D₅₃	—	4	2	no	—
595	C₂×C₂²⋊D₅₃	—	4	2	no	—
596	C₂×C₂²⋊D₅₃	—	4	2	no	—
597	C₂×C₂²⋊D₅₃	—	4	2	no	—
598	C₂×C₂²⋊D₅₃	—	4	2	no	—
599	C₂×C₂²⋊D₅₃	—	4	2	no	—
600	C₂×C₂²⋊D₅₃	—	4	2	no	—
601	C₂×C₂²⋊D₅₃	—	4	2	no	—
602	C₂×C₂²⋊D₅₃	—	4	2	no	—
603	C₂×C₂²⋊D₅₃	—	4	2	no	—
604	C₂×C₂²⋊D₅₃	—	4	2	no	—
605	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
606	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
607	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
608	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
609	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
610	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
611	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
612	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
613	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
614	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
615	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
616	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
617	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
618	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
619	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
620	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
621	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
622	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
623	C₂²×Dic₅₃	—	2	4	no	—
624	C₂²×Dic₅₃	—	2	4	no	—
625	C₂²×Dic₅₃	—	2	4	no	—
626	C₂²×Dic₅₃	—	4	2	no	—
627	C₂²×Dic₅₃	—	4	2	no	—
628	C₂²×Dic₅₃	—	4	2	no	—
629	C₂²×Dic₅₃	—	4	2	no	—
630	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
631	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
632	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
633	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
634	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
635	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
636	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
637	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
638	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
639	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
640	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
641	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
642	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
643	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
644	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
645	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
646	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
647	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
648	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
649	Q₈×D₅₃	—	4	16	no	—
650	#11719947	—	4	16	no	—
651	#11719947	—	4	16	no	—
652	#11719947	—	4	16	no	—
653	#11719945	—	4	16	no	—
654	C₂×D₂₁₂	—	4	2	no	—
655	C₂×D₂₁₂	—	4	2	no	—
656	C₂×D₂₁₂	—	4	2	no	—
657	C₂×D₂₁₂	—	4	2	no	—
658	C₂×D₂₁₂	—	4	2	no	—
659	C₂×D₂₁₂	C₂⁴	1	4	yes	—
660	C₂×D₂₁₂	C₂⁴	1	4	yes	—
661	C₂×D₂₁₂	C₂⁴	1	4	yes	—
662	C₂×D₂₁₂	C₂⁴	1	4	yes	—
663	C₂×D₂₁₂	C₂⁴	1	4	yes	—
664	C₂×C₄×D₅₃	—	2	4	no	—
665	C₂×C₄×D₅₃	—	2	4	no	—
666	C₂×C₄×D₅₃	—	4	2	no	—
667	C₂×C₄×D₅₃	—	4	2	no	—
668	C₂×C₄×D₅₃	—	4	2	no	—
669	C₂×C₄×D₅₃	—	4	2	no	—
670	C₂×C₄×D₅₃	—	4	2	no	—
671	C₂×C₄×D₅₃	—	4	2	no	—
672	C₂×C₄×D₅₃	—	4	2	no	—
673	C₂×C₄×D₅₃	—	4	2	no	—
674	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
675	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
676	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
677	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
678	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
679	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
680	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
681	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
682	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
683	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
684	C₂×Dic₁₀₆	—	2	4	no	—
685	C₂×Dic₁₀₆	—	2	4	no	—
686	C₂×Dic₁₀₆	—	4	2	no	—
687	C₂×Dic₁₀₆	—	4	2	no	—
688	C₂×Dic₁₀₆	—	4	2	no	—
689	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
690	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
691	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
692	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
693	C₂×Dic₁₀₆	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	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
701	C₂²⋊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	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
713	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
714	C₄²×C₅₃	C₂⁴	1	4	yes	—
715	C₄²×C₅₃	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	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
723	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
724	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
725	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
726	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
727	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
728	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
729	C₂²⋊Dic₅₃	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	#11719921	C₂⁴	1	4	yes	—
747	#11719921	C₂⁴	1	4	yes	—
748	#11719921	C₂⁴	1	4	yes	—
749	#11719921	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	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
755	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
756	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
757	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
758	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
759	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
760	#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	#11719919	C₂⁴	1	4	yes	—
779	#11719919	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	—	2	2	no	—
799	C₂³×C₅₃	—	2	2	no	—
800	C₂³×C₅₃	—	2	2	no	—
801	C₂³×C₅₃	—	2	2	no	—
802	C₂³×C₅₃	—	2	2	no	—
803	C₂³×C₅₃	—	2	2	no	—
804	C₂³×C₅₃	—	2	2	no	—
805	C₂³×C₅₃	—	4	4	no	—
806	C₂³×C₅₃	—	4	4	no	—
807	C₂³×C₅₃	—	4	4	no	—
808	C₂³×C₅₃	—	8	8	no	—
809	C₂³×C₅₃	C₂⁵	1	2	yes	—
810	C₂³×C₅₃	C₂⁵	1	2	yes	—
811	C₂³×C₅₃	C₂⁵	1	2	yes	—
812	C₂³×C₅₃	C₂⁵	1	2	yes	—
813	C₂³×C₅₃	C₂⁵	1	2	yes	—
814	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
815	C₂²×D₅₃	—	2	2	no	—
816	C₂²×D₅₃	—	2	2	no	—
817	C₂²×D₅₃	—	2	2	no	—
818	C₂²×D₅₃	—	2	2	no	—
819	C₂²×D₅₃	—	2	2	no	—
820	C₂²×D₅₃	—	2	2	no	—
821	C₂²×D₅₃	—	2	2	no	—
822	C₂²×D₅₃	—	2	2	no	—
823	C₂²×D₅₃	—	2	2	no	—
824	C₂²×D₅₃	—	2	2	no	—
825	C₂²×D₅₃	—	2	2	no	—
826	C₂²×D₅₃	—	2	2	no	—
827	C₂²×D₅₃	—	4	4	no	—
828	C₂²×D₅₃	—	4	4	no	—
829	C₂²×D₅₃	—	4	4	no	—
830	C₂²×D₅₃	—	8	8	no	—
831	C₂²×D₅₃	C₂⁵	1	2	yes	—
832	C₂²×D₅₃	C₂⁵	1	2	yes	—
833	C₂²×D₅₃	C₂⁵	1	2	yes	—
834	C₂²×D₅₃	C₂⁵	1	2	yes	—
835	Q₈×C₅₃	—	4	4	no	—
836	D₄×C₅₃	—	4	4	no	—
837	D₄×C₅₃	—	4	4	no	—
838	D₄×C₅₃	—	4	4	no	—
839	D₄×C₅₃	—	4	4	no	—
840	D₄×C₅₃	—	4	4	no	—
841	D₄×C₅₃	—	4	4	no	—
842	D₄×C₅₃	—	4	4	no	—
843	C₂×C₄×C₅₃	—	2	2	no	—
844	C₂×C₄×C₅₃	—	2	2	no	—
845	C₂×C₄×C₅₃	—	2	2	no	—
846	C₂×C₄×C₅₃	—	2	2	no	—
847	C₂×C₄×C₅₃	—	2	2	no	—
848	C₂×C₄×C₅₃	—	2	2	no	—
849	C₂×C₄×C₅₃	—	2	2	no	—
850	C₂×C₄×C₅₃	—	2	2	no	—
851	C₂×C₄×C₅₃	—	2	2	no	—
852	C₂×C₄×C₅₃	—	2	2	no	—
853	C₂×C₄×C₅₃	—	4	4	no	—
854	C₂×C₄×C₅₃	—	4	4	no	—
855	C₂×C₄×C₅₃	—	4	4	no	—
856	C₂×C₄×C₅₃	—	4	4	no	—
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	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
861	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
862	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
863	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
864	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
865	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
866	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
867	C₂²⋊D₅₃	—	2	8	no	—
868	C₂²⋊D₅₃	—	2	8	no	—
869	C₂²⋊D₅₃	—	4	4	no	—
870	C₂²⋊D₅₃	—	4	4	no	—
871	C₂²⋊D₅₃	—	4	4	no	—
872	C₂²⋊D₅₃	—	4	4	no	—
873	C₂²⋊D₅₃	—	4	4	no	—
874	C₂²⋊D₅₃	—	4	4	no	—
875	C₂²⋊D₅₃	—	4	4	no	—
876	C₂²⋊D₅₃	—	4	4	no	—
877	C₂²⋊D₅₃	—	4	4	no	—
878	C₂²⋊D₅₃	—	4	4	no	—
879	C₂²⋊D₅₃	—	4	4	no	—
880	C₂²⋊D₅₃	—	4	4	no	—
881	C₂²⋊D₅₃	—	4	4	no	—
882	C₂²⋊D₅₃	—	4	4	no	—
883	C₂²⋊D₅₃	—	4	4	no	—
884	C₂²⋊D₅₃	—	4	4	no	—
885	C₂×Dic₅₃	—	2	2	no	—
886	C₂×Dic₅₃	—	2	2	no	—
887	C₂×Dic₅₃	—	2	2	no	—
888	C₂×Dic₅₃	—	2	2	no	—
889	C₂×Dic₅₃	—	2	2	no	—
890	C₂×Dic₅₃	—	2	2	no	—
891	C₂×Dic₅₃	—	2	2	no	—
892	C₂×Dic₅₃	—	2	2	no	—
893	C₂×Dic₅₃	—	2	2	no	—
894	C₂×Dic₅₃	—	2	2	no	—
895	C₂×Dic₅₃	—	2	2	no	—
896	C₂×Dic₅₃	—	2	8	no	—
897	C₂×Dic₅₃	—	2	8	no	—
898	C₂×Dic₅₃	—	2	8	no	—
899	C₂×Dic₅₃	—	4	4	no	—
900	C₂×Dic₅₃	—	4	4	no	—
901	C₂×Dic₅₃	—	4	4	no	—
902	C₂×Dic₅₃	—	4	4	no	—
903	C₂×Dic₅₃	H(5,𝔽₂)	1	4	yes	—
904	C₂×Dic₅₃	C₂⁵	1	2	yes	—
905	C₂×Dic₅₃	C₂⁵	1	2	yes	—
906	C₂×Dic₅₃	C₂⁵	1	2	yes	—
907	C₂×Dic₅₃	C₂⁵	1	2	yes	—
908	C₂×Dic₅₃	C₂⁵	1	2	yes	—
909	C₂×Dic₅₃	C₂⁵	1	2	yes	—
910	C₂×Dic₅₃	C₂⁵	1	2	yes	—
911	C₂×Dic₅₃	C₂⁵	1	2	yes	—
912	C₂×Dic₅₃	C₂⁵	1	2	yes	—
913	C₂×Dic₅₃	C₂⁵	1	2	yes	—
914	C₂×Dic₅₃	C₂⁵	1	2	yes	—
915	C₂×Dic₅₃	C₂⁵	1	2	yes	—
916	D₂₁₂	—	4	4	no	—
917	D₂₁₂	—	4	4	no	—
918	D₂₁₂	—	4	4	no	—
919	D₂₁₂	—	4	4	no	—
920	D₂₁₂	—	4	4	no	—
921	C₄×D₅₃	—	2	8	no	—
922	C₄×D₅₃	—	2	8	no	—
923	C₄×D₅₃	—	4	4	no	—
924	C₄×D₅₃	—	4	4	no	—
925	C₄×D₅₃	—	4	4	no	—
926	C₄×D₅₃	—	4	4	no	—
927	C₄×D₅₃	—	4	4	no	—
928	C₄×D₅₃	—	4	4	no	—
929	C₄×D₅₃	—	4	4	no	—
930	C₄×D₅₃	—	4	4	no	—
931	Dic₁₀₆	—	2	8	no	—
932	Dic₁₀₆	—	2	8	no	—
933	Dic₁₀₆	—	4	4	no	—
934	Dic₁₀₆	—	4	4	no	—
935	Dic₁₀₆	—	4	4	no	—
936	C₂×#3551	—	53	1	no	maximal, Sylow
937	C₂²×C₅₃	—	2	2	no	—
938	C₂²×C₅₃	—	2	2	no	—
939	C₂²×C₅₃	—	2	2	no	—
940	C₂²×C₅₃	—	2	2	no	—
941	C₂²×C₅₃	—	2	2	no	—
942	C₂²×C₅₃	—	2	2	no	—
943	C₂²×C₅₃	—	2	2	no	—
944	C₂²×C₅₃	—	2	2	no	—
945	C₂²×C₅₃	—	2	2	no	—
946	C₂²×C₅₃	—	2	2	no	—
947	C₂²×C₅₃	—	2	2	no	—
948	C₂²×C₅₃	—	2	2	no	—
949	C₂²×C₅₃	—	2	2	no	—
950	C₂²×C₅₃	—	2	2	no	—
951	C₂²×C₅₃	—	2	2	no	—
952	C₂²×C₅₃	—	4	4	no	—
953	C₂²×C₅₃	—	4	4	no	—
954	C₂²×C₅₃	—	4	4	no	—
955	C₂²×C₅₃	—	4	4	no	—
956	C₂²×C₅₃	—	4	4	no	—
957	C₂²×C₅₃	—	8	8	no	—
958	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
959	C₂²×C₅₃	#585	1	2	yes	—
960	C₂²×C₅₃	#585	1	2	yes	—
961	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
962	C₂×D₅₃	—	2	2	no	—
963	C₂×D₅₃	—	2	2	no	—
964	C₂×D₅₃	—	2	2	no	—
965	C₂×D₅₃	—	2	2	no	—
966	C₂×D₅₃	—	2	2	no	—
967	C₂×D₅₃	—	2	2	no	—
968	C₂×D₅₃	—	2	2	no	—
969	C₂×D₅₃	—	2	2	no	—
970	C₂×D₅₃	—	2	2	no	—
971	C₂×D₅₃	—	2	2	no	—
972	C₂×D₅₃	—	2	2	no	—
973	C₂×D₅₃	—	2	2	no	—
974	C₂×D₅₃	—	4	4	no	—
975	C₂×D₅₃	—	4	4	no	—
976	C₂×D₅₃	—	4	4	no	—
977	C₂×D₅₃	—	4	4	no	—
978	C₂×D₅₃	—	8	8	no	—
979	C₄×C₅₃	—	2	2	no	—
980	C₄×C₅₃	—	2	2	no	—
981	C₄×C₅₃	—	2	2	no	—
982	C₄×C₅₃	—	2	2	no	—
983	C₄×C₅₃	—	2	2	no	—
984	C₄×C₅₃	—	2	2	no	—
985	C₄×C₅₃	—	2	2	no	—
986	C₄×C₅₃	—	2	2	no	—
987	C₄×C₅₃	—	2	2	no	—
988	C₄×C₅₃	—	2	2	no	—
989	Dic₅₃	—	2	2	no	—
990	Dic₅₃	—	2	2	no	—
991	Dic₅₃	—	2	2	no	—
992	Dic₅₃	—	2	2	no	—
993	Dic₅₃	—	2	2	no	—
994	Dic₅₃	—	2	2	no	—
995	Dic₅₃	—	2	2	no	—
996	Dic₅₃	—	2	2	no	—
997	Dic₅₃	—	2	2	no	—
998	Dic₅₃	—	2	2	no	—
999	Dic₅₃	—	2	2	no	—
1000	Dic₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1001	#3551	—	53	32	no	—
1002	C₂×#563	—	53	1	no	—
1003	C₂×#563	—	53	1	no	—
1004	C₂×#560	—	53	1	no	—
1005	C₂×#560	—	53	1	no	—
1006	C₂×#555	—	53	1	no	—
1007	C₂×#555	—	53	1	no	—
1008	C₂×#553	—	53	1	no	—
1009	C₂×#553	—	53	1	no	—
1010	C₂×#552	—	53	1	no	—
1011	C₂×#552	—	53	1	no	—
1012	C₂×#551	—	53	1	no	—
1013	C₂×#551	—	53	1	no	—
1014	C₂×#548	—	53	1	no	—
1015	C₂×#548	—	53	1	no	—
1016	C₂×#546	—	53	1	no	—
1017	C₂×#546	—	53	1	no	—
1018	C₂×#540	—	53	1	no	—
1019	C₂×#540	—	53	1	no	—
1020	C₂×#540	—	53	1	no	—
1021	C₂×#540	—	53	1	no	—
1022	C₂×#538	—	53	1	no	—
1023	C₂×#538	—	53	1	no	—
1024	C₂×#538	—	53	1	no	—
1025	C₂×#538	D₅₃	1	1	yes	characteristic, complemented
1026	C₂×#537	—	53	1	no	—
1027	C₂×#537	—	53	1	no	—
1028	C₂×#536	—	53	1	no	—
1029	C₂×#535	—	53	1	no	—
1030	C₂×#532	—	53	1	no	—
1031	C₂×#529	—	53	1	no	—
1032	C₂×#529	—	53	1	no	—
1033	C₂×C₅₃	—	4	2	no	—
1034	C₂×C₅₃	—	4	2	no	—
1035	C₂×C₅₃	—	4	2	no	—
1036	C₂×C₅₃	—	4	2	no	—
1037	C₂×C₅₃	—	4	2	no	—
1038	C₂×C₅₃	#3551	1	4	yes	complemented
1039	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1040	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1041	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1042	D₅₃	—	4	2	no	—
1043	D₅₃	—	4	2	no	—
1044	D₅₃	—	4	2	no	—
1045	D₅₃	—	4	2	no	—
1046	C₂²×#41	—	53	1	no	—
1047	C₂²×#41	—	53	1	no	—
1048	C₂²×#41	—	53	1	no	—
1049	C₂²×#41	—	53	1	no	—
1050	C₂³×Q₈	—	53	1	no	—
1051	C₂³×D₄	—	53	1	no	—
1052	#563	—	53	16	no	—
1053	#563	—	53	16	no	—
1054	#560	—	53	16	no	—
1055	#560	—	53	16	no	—
1056	#555	—	53	16	no	—
1057	#555	—	53	16	no	—
1058	#553	—	53	16	no	—
1059	#553	—	53	16	no	—
1060	#552	—	53	16	no	—
1061	#552	—	53	16	no	—
1062	#551	—	53	16	no	—
1063	#551	—	53	16	no	—
1064	#548	—	53	16	no	—
1065	#548	—	53	16	no	—
1066	#546	—	53	16	no	—
1067	#546	—	53	16	no	—
1068	#540	—	53	16	no	—
1069	#540	—	53	16	no	—
1070	#540	—	53	16	no	—
1071	#540	—	53	16	no	—
1072	#538	—	53	16	no	—
1073	#538	—	53	16	no	—
1074	#538	—	53	16	no	—
1075	#538	C₂×D₅₃	1	16	yes	complemented
1076	#537	—	53	16	no	—
1077	#537	—	53	16	no	—
1078	#536	—	53	16	no	—
1079	#535	—	53	16	no	—
1080	#532	—	53	16	no	—
1081	C₂×C₄⋊Q₈	—	53	1	no	—
1082	C₂×C₄⋊Q₈	—	53	1	no	—
1083	C₂×C₄⋊Q₈	—	53	1	no	—
1084	C₂×#127	—	53	1	no	—
1085	C₂×#127	—	53	1	no	—
1086	C₂×#127	—	53	1	no	—
1087	#529	—	53	16	no	—
1088	#529	—	53	16	no	—
1089	C₂×#126	—	53	1	no	—
1090	C₂×#126	—	53	1	no	—
1091	C₂×#126	—	53	1	no	—
1092	C₂×#126	—	53	1	no	—
1093	C₂×#126	—	53	1	no	—
1094	C₂×#126	—	53	1	no	—
1095	C₂×#126	—	53	1	no	—
1096	C₂×#126	—	53	1	no	—
1097	C₂×#126	—	53	1	no	—
1098	C₂×#126	—	53	1	no	—
1099	C₂×#126	C₂×D₅₃	1	1	yes	characteristic
1100	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1101	C₂×#125	—	53	1	no	—
1102	C₂×#125	—	53	1	no	—
1103	C₂×#125	—	53	1	no	—
1104	C₂×#125	—	53	1	no	—
1105	C₂×#125	—	53	1	no	—
1106	C₂×#125	—	53	1	no	—
1107	C₂×#124	—	53	1	no	—
1108	C₂×#124	—	53	1	no	—
1109	C₂×#124	—	53	1	no	—
1110	C₂×#124	—	53	1	no	—
1111	C₂×#124	—	53	1	no	—
1112	C₂×#124	—	53	1	no	—
1113	C₂×#124	—	53	1	no	—
1114	C₂×#124	—	53	1	no	—
1115	C₂×#124	—	53	1	no	—
1116	C₂×#124	—	53	1	no	—
1117	C₂×#124	C₂×D₅₃	1	1	yes	characteristic
1118	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1119	C₂×#123	—	53	1	no	—
1120	C₂×#123	—	53	1	no	—
1121	C₂×#123	—	53	1	no	—
1122	C₂×#123	—	53	1	no	—
1123	C₂×#123	—	53	1	no	—
1124	C₂×#123	—	53	1	no	—
1125	C₂×#123	—	53	1	no	—
1126	C₂×#123	—	53	1	no	—
1127	C₂×#123	—	53	1	no	—
1128	C₂×#123	—	53	1	no	—
1129	C₂×#123	—	53	1	no	—
1130	C₂×#123	—	53	1	no	—
1131	C₂×#123	—	53	1	no	—
1132	C₂×#123	—	53	1	no	—
1133	C₂×#123	—	53	1	no	—
1134	C₂×#123	—	53	1	no	—
1135	C₂×#123	—	53	1	no	—
1136	C₂×#123	—	53	1	no	—
1137	C₂×#123	C₂×D₅₃	1	1	yes	characteristic
1138	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1139	C₂×C₂²⋊Q₈	—	53	1	no	—
1140	C₂×C₂²⋊Q₈	—	53	1	no	—
1141	C₂×C₂²⋊Q₈	—	53	1	no	—
1142	C₂×C₂²⋊Q₈	—	53	1	no	—
1143	C₂×C₂²⋊Q₈	—	53	1	no	—
1144	C₂×C₂²⋊Q₈	—	53	1	no	—
1145	C₂×C₂²⋊Q₈	—	53	1	no	—
1146	C₂×C₂²⋊Q₈	—	53	1	no	—
1147	C₂×C₂²⋊Q₈	—	53	1	no	—
1148	C₂×C₂²⋊Q₈	—	53	1	no	—
1149	C₂×C₂²⋊Q₈	—	53	1	no	—
1150	C₂×C₂²⋊Q₈	—	53	1	no	—
1151	C₂×C₂²⋊Q₈	—	53	1	no	—
1152	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1153	C₂×#121	—	53	1	no	—
1154	C₂×#121	—	53	1	no	—
1155	C₂×#121	—	53	1	no	—
1156	C₂×#121	—	53	1	no	—
1157	C₂×#121	—	53	1	no	—
1158	C₂×#121	—	53	1	no	—
1159	C₂×#121	—	53	1	no	—
1160	C₂×#121	—	53	1	no	—
1161	C₂×#121	—	53	1	no	—
1162	C₂×#121	—	53	1	no	—
1163	C₂×#121	—	53	1	no	—
1164	C₂×#121	—	53	1	no	—
1165	C₂×#121	—	53	1	no	—
1166	C₂×#121	—	53	1	no	—
1167	C₂×#121	—	53	1	no	—
1168	C₂×#121	—	53	1	no	—
1169	C₂×#121	—	53	1	no	—
1170	C₂×#121	—	53	1	no	—
1171	C₂×#121	—	53	1	no	—
1172	C₂×#121	—	53	1	no	—
1173	C₂×#121	—	53	1	no	—
1174	C₂×#121	—	53	1	no	—
1175	C₂×#121	—	53	1	no	—
1176	C₂×#121	—	53	1	no	—
1177	C₂×#121	—	53	1	no	—
1178	C₂×#121	—	53	1	no	—
1179	C₂×#121	—	53	1	no	—
1180	C₂×#121	—	53	1	no	—
1181	C₂×#121	—	53	1	no	—
1182	C₂×#121	—	53	1	no	—
1183	C₂×#121	—	53	1	no	—
1184	C₂×#121	C₂×D₅₃	1	1	yes	characteristic
1185	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1186	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1187	C₂×#120	—	53	1	no	—
1188	C₂×#120	—	53	1	no	—
1189	C₂×#120	—	53	1	no	—
1190	C₂×#120	—	53	1	no	—
1191	C₂×#120	—	53	1	no	—
1192	C₂×#120	—	53	1	no	—
1193	C₂×#120	C₂×D₅₃	1	1	yes	characteristic
1194	C₂×#120	C₂×D₅₃	1	1	yes	characteristic
1195	C₂×C₄×Q₈	—	53	1	no	—
1196	C₂×C₄×Q₈	—	53	1	no	—
1197	C₂×C₄×D₄	—	53	1	no	—
1198	C₂×C₄×D₄	—	53	1	no	—
1199	C₂×C₄×D₄	—	53	1	no	—
1200	C₂×C₄×D₄	—	53	1	no	—
1201	C₂×C₄×D₄	—	53	1	no	—
1202	C₂×C₄×D₄	—	53	1	no	—
1203	C₂×C₄×D₄	—	53	1	no	—
1204	C₂×C₄×D₄	—	53	1	no	—
1205	C₂×C₄×D₄	—	53	1	no	—
1206	C₂×C₄×D₄	—	53	1	no	—
1207	C₂×C₄×D₄	—	53	1	no	—
1208	C₂×C₄×D₄	—	53	1	no	—
1209	C₂×C₄×D₄	—	53	1	no	—
1210	C₂×C₄×D₄	—	53	1	no	—
1211	C₂×C₄×D₄	—	53	1	no	—
1212	C₂×C₄×D₄	—	53	1	no	—
1213	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1214	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1215	C₂×#117	—	53	1	no	—
1216	C₂×#117	—	53	1	no	—
1217	C₂×#117	—	53	1	no	—
1218	C₂×#117	—	53	1	no	—
1219	C₂×#117	—	53	1	no	—
1220	C₂×#117	—	53	1	no	—
1221	C₂×#117	—	53	1	no	—
1222	C₂×#117	—	53	1	no	—
1223	C₂×#117	—	53	1	no	—
1224	C₂×#117	—	53	1	no	—
1225	C₂²×C₄⋊C₄	—	53	1	no	—
1226	C₂²×C₄⋊C₄	—	53	1	no	—
1227	C₂²×C₂²⋊C₄	—	53	1	no	—
1228	C₂²×C₂²⋊C₄	—	53	1	no	—
1229	C₂²×C₂²⋊C₄	—	53	1	no	—
1230	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic
1231	C₂²×C₄²	—	53	1	no	—
1232	C₅₃	C₂×#3551	1	1	yes	characteristic, complemented, Sylow
1233	C₂⁵	—	53	1	no	—
1234	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1235	C₂×#41	—	53	8	no	—
1236	C₂×#41	—	53	8	no	—
1237	C₂×#41	—	53	8	no	—
1238	C₂×#41	—	53	8	no	—
1239	C₂×#41	—	212	4	no	—
1240	C₂×#41	—	212	4	no	—
1241	C₂×#41	—	212	4	no	—
1242	C₂×#41	—	212	4	no	—
1243	C₂²×Q₈	—	53	8	no	—
1244	C₂²×Q₈	—	53	1	no	—
1245	C₂²×Q₈	—	53	1	no	—
1246	C₂²×Q₈	—	53	1	no	—
1247	C₂²×Q₈	—	53	1	no	—
1248	C₂²×Q₈	—	53	1	no	—
1249	C₂²×Q₈	—	212	4	no	—
1250	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1251	C₂²×D₄	—	53	1	no	—
1252	C₂²×D₄	—	53	1	no	—
1253	C₂²×D₄	—	53	1	no	—
1254	C₂²×D₄	—	53	1	no	—
1255	C₂²×D₄	—	53	1	no	—
1256	C₂²×D₄	—	53	1	no	—
1257	C₂²×D₄	—	53	1	no	—
1258	C₂²×D₄	—	53	1	no	—
1259	C₂²×D₄	—	53	1	no	—
1260	C₂²×D₄	—	53	1	no	—
1261	C₂²×D₄	—	53	1	no	—
1262	C₂²×D₄	—	53	1	no	—
1263	C₂²×D₄	—	53	1	no	—
1264	C₂²×D₄	—	53	1	no	—
1265	C₂²×D₄	—	53	1	no	—
1266	C₂²×D₄	—	53	1	no	—
1267	C₂²×D₄	—	53	1	no	—
1268	C₂²×D₄	—	53	1	no	—
1269	C₂²×D₄	—	53	8	no	—
1270	C₂²×D₄	—	53	1	no	—
1271	C₂²×D₄	—	53	1	no	—
1272	C₂²×D₄	—	53	1	no	—
1273	C₂²×D₄	—	53	1	no	—
1274	C₂²×D₄	—	53	1	no	—
1275	C₂²×D₄	—	212	4	no	—
1276	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1277	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1278	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1279	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1280	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1281	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1282	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1283	C₂³×C₄	—	53	1	no	—
1284	C₂³×C₄	—	53	1	no	—
1285	C₂³×C₄	—	53	1	no	—
1286	C₂³×C₄	—	53	1	no	—
1287	C₂³×C₄	—	53	1	no	—
1288	C₂³×C₄	—	53	1	no	—
1289	C₂³×C₄	—	53	1	no	—
1290	C₂³×C₄	—	53	1	no	—
1291	C₂³×C₄	—	53	1	no	—
1292	C₂³×C₄	—	53	1	no	—
1293	C₂³×C₄	—	53	1	no	—
1294	C₂³×C₄	—	53	1	no	—
1295	C₂³×C₄	—	53	1	no	—
1296	C₂³×C₄	—	53	1	no	—
1297	C₂³×C₄	—	53	1	no	—
1298	C₂³×C₄	—	53	1	no	—
1299	C₂³×C₄	—	53	1	no	—
1300	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1301	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1302	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1303	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1304	C₄⋊Q₈	—	53	8	no	—
1305	C₄⋊Q₈	—	53	8	no	—
1306	C₄⋊Q₈	—	53	8	no	—
1307	#127	—	53	8	no	—
1308	#127	—	53	8	no	—
1309	#127	—	53	8	no	—
1310	#126	—	53	8	no	—
1311	#126	—	53	8	no	—
1312	#126	—	53	8	no	—
1313	#126	—	53	8	no	—
1314	#126	—	53	8	no	—
1315	#126	—	53	8	no	—
1316	#126	—	53	8	no	—
1317	#126	—	53	8	no	—
1318	#126	—	53	8	no	—
1319	#126	—	53	8	no	—
1320	#126	C₂²×D₅₃	1	8	yes	—
1321	#126	C₂²×D₅₃	1	8	yes	complemented
1322	#125	—	53	8	no	—
1323	#125	—	53	8	no	—
1324	#125	—	53	8	no	—
1325	#125	—	53	8	no	—
1326	#125	—	53	8	no	—
1327	#125	—	53	8	no	—
1328	#124	—	53	8	no	—
1329	#124	—	53	8	no	—
1330	#124	—	53	8	no	—
1331	#124	—	53	8	no	—
1332	#124	—	53	8	no	—
1333	#124	—	53	8	no	—
1334	#124	—	53	8	no	—
1335	#124	—	53	8	no	—
1336	#124	—	53	8	no	—
1337	#124	—	53	8	no	—
1338	#124	C₂²×D₅₃	1	8	yes	—
1339	#124	C₂²×D₅₃	1	8	yes	complemented
1340	#123	—	53	8	no	—
1341	#123	—	53	8	no	—
1342	#123	—	53	8	no	—
1343	#123	—	53	8	no	—
1344	#123	—	53	8	no	—
1345	#123	—	53	8	no	—
1346	#123	—	53	8	no	—
1347	#123	—	53	8	no	—
1348	#123	—	53	8	no	—
1349	#123	—	53	8	no	—
1350	#123	—	53	8	no	—
1351	#123	—	53	8	no	—
1352	#123	—	53	8	no	—
1353	#123	—	53	8	no	—
1354	#123	—	53	8	no	—
1355	#123	—	53	8	no	—
1356	#123	—	53	8	no	—
1357	#123	—	53	8	no	—
1358	#123	C₂²×D₅₃	1	8	yes	—
1359	#123	C₂²×D₅₃	1	8	yes	complemented
1360	C₂²⋊Q₈	—	53	8	no	—
1361	C₂²⋊Q₈	—	53	8	no	—
1362	C₂²⋊Q₈	—	53	8	no	—
1363	C₂²⋊Q₈	—	53	8	no	—
1364	C₂²⋊Q₈	—	53	8	no	—
1365	C₂²⋊Q₈	—	53	8	no	—
1366	C₂²⋊Q₈	—	53	8	no	—
1367	C₂²⋊Q₈	—	53	8	no	—
1368	C₂²⋊Q₈	—	53	8	no	—
1369	C₂²⋊Q₈	—	53	8	no	—
1370	C₂²⋊Q₈	—	53	8	no	—
1371	C₂²⋊Q₈	—	53	8	no	—
1372	C₂²⋊Q₈	—	53	8	no	—
1373	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1374	#121	—	53	8	no	—
1375	#121	—	53	8	no	—
1376	#121	—	53	8	no	—
1377	#121	—	53	8	no	—
1378	#121	—	53	8	no	—
1379	#121	—	53	8	no	—
1380	#121	—	53	8	no	—
1381	#121	—	53	8	no	—
1382	#121	—	53	8	no	—
1383	#121	—	53	8	no	—
1384	#121	—	53	8	no	—
1385	#121	—	53	8	no	—
1386	#121	—	53	8	no	—
1387	#121	—	53	8	no	—
1388	#121	—	53	8	no	—
1389	#121	—	53	8	no	—
1390	#121	—	53	8	no	—
1391	#121	—	53	8	no	—
1392	#121	—	53	8	no	—
1393	#121	—	53	8	no	—
1394	#121	—	53	8	no	—
1395	#121	—	53	8	no	—
1396	#121	—	53	8	no	—
1397	#121	—	53	8	no	—
1398	#121	—	53	8	no	—
1399	#121	—	53	8	no	—
1400	#121	—	53	8	no	—
1401	#121	—	53	8	no	—
1402	#121	—	53	8	no	—
1403	#121	—	53	8	no	—
1404	#121	—	53	8	no	—
1405	#121	C₂²×D₅₃	1	8	yes	—
1406	#121	C₂²×D₅₃	1	8	yes	complemented
1407	#121	C₂²×D₅₃	1	8	yes	complemented
1408	#120	—	53	8	no	—
1409	#120	—	53	8	no	—
1410	#120	—	53	8	no	—
1411	#120	—	53	8	no	—
1412	#120	—	53	8	no	—
1413	#120	—	53	8	no	—
1414	#120	C₂²×D₅₃	1	8	yes	—
1415	#120	C₂²×D₅₃	1	8	yes	—
1416	C₄×Q₈	—	53	8	no	—
1417	C₄×Q₈	—	53	8	no	—
1418	C₄×D₄	—	53	8	no	—
1419	C₄×D₄	—	53	8	no	—
1420	C₄×D₄	—	53	8	no	—
1421	C₄×D₄	—	53	8	no	—
1422	C₄×D₄	—	53	8	no	—
1423	C₄×D₄	—	53	8	no	—
1424	C₄×D₄	—	53	8	no	—
1425	C₄×D₄	—	53	8	no	—
1426	C₄×D₄	—	53	8	no	—
1427	C₄×D₄	—	53	8	no	—
1428	C₄×D₄	—	53	8	no	—
1429	C₄×D₄	—	53	8	no	—
1430	C₄×D₄	—	53	8	no	—
1431	C₄×D₄	—	53	8	no	—
1432	C₄×D₄	—	53	8	no	—
1433	C₄×D₄	—	53	8	no	—
1434	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1435	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1436	#117	—	53	8	no	—
1437	#117	—	53	8	no	—
1438	#117	—	53	8	no	—
1439	#117	—	53	8	no	—
1440	#117	—	53	8	no	—
1441	#117	—	53	8	no	—
1442	#117	—	53	8	no	—
1443	#117	—	53	8	no	—
1444	#117	—	53	8	no	—
1445	#117	—	53	8	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	1	no	—
1452	C₂×C₄⋊C₄	—	53	1	no	—
1453	C₂×C₄⋊C₄	—	53	8	no	—
1454	C₂×C₄⋊C₄	—	53	1	no	—
1455	C₂×C₄⋊C₄	—	53	1	no	—
1456	C₂×C₄⋊C₄	—	53	1	no	—
1457	C₂×C₄⋊C₄	—	53	1	no	—
1458	C₂×C₄⋊C₄	—	53	1	no	—
1459	C₂×C₄⋊C₄	—	53	1	no	—
1460	C₂×C₄⋊C₄	—	53	1	no	—
1461	C₂×C₄⋊C₄	—	53	1	no	—
1462	C₂×C₄⋊C₄	—	53	1	no	—
1463	C₂×C₄⋊C₄	—	53	1	no	—
1464	C₂×C₄⋊C₄	—	53	1	no	—
1465	C₂×C₄⋊C₄	—	53	1	no	—
1466	C₂×C₄⋊C₄	—	53	1	no	—
1467	C₂×C₄⋊C₄	—	53	1	no	—
1468	C₂×C₄⋊C₄	—	53	1	no	—
1469	C₂×C₄⋊C₄	—	53	1	no	—
1470	C₂×C₄⋊C₄	—	53	1	no	—
1471	C₂×C₄⋊C₄	—	53	1	no	—
1472	C₂×C₄⋊C₄	—	53	1	no	—
1473	C₂×C₄⋊C₄	—	53	1	no	—
1474	C₂×C₄⋊C₄	—	53	1	no	—
1475	C₂×C₄⋊C₄	—	53	1	no	—
1476	C₂×C₄⋊C₄	—	53	1	no	—
1477	C₂×C₄⋊C₄	—	53	8	no	—
1478	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1479	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1480	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1481	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1482	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1483	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
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	8	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	1	no	—
1494	C₂×C₂²⋊C₄	—	53	1	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	1	no	—
1506	C₂×C₂²⋊C₄	—	53	1	no	—
1507	C₂×C₂²⋊C₄	—	53	1	no	—
1508	C₂×C₂²⋊C₄	—	53	1	no	—
1509	C₂×C₂²⋊C₄	—	53	1	no	—
1510	C₂×C₂²⋊C₄	—	53	1	no	—
1511	C₂×C₂²⋊C₄	—	53	1	no	—
1512	C₂×C₂²⋊C₄	—	53	1	no	—
1513	C₂×C₂²⋊C₄	—	53	1	no	—
1514	C₂×C₂²⋊C₄	—	53	1	no	—
1515	C₂×C₂²⋊C₄	—	53	1	no	—
1516	C₂×C₂²⋊C₄	—	53	1	no	—
1517	C₂×C₂²⋊C₄	—	53	1	no	—
1518	C₂×C₂²⋊C₄	—	53	1	no	—
1519	C₂×C₂²⋊C₄	—	53	8	no	—
1520	C₂×C₂²⋊C₄	—	53	8	no	—
1521	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1522	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1523	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1524	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1525	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1526	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	—
1527	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1528	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1529	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1530	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1531	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1532	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1533	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1534	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1535	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1536	C₂×C₄²	—	53	1	no	—
1537	C₂×C₄²	—	53	1	no	—
1538	C₂×C₄²	—	53	1	no	—
1539	C₂×C₄²	—	53	1	no	—
1540	C₂×C₄²	—	53	1	no	—
1541	C₂×C₄²	—	53	1	no	—
1542	C₂×C₄²	—	53	1	no	—
1543	C₂×C₄²	—	53	1	no	—
1544	C₂×C₄²	—	53	1	no	—
1545	C₂×C₄²	—	53	1	no	—
1546	C₂×C₄²	—	53	8	no	—
1547	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1548	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1549	C₂⁴	—	4	2	no	—
1550	C₂⁴	—	4	2	no	—
1551	C₂⁴	—	4	2	no	—
1552	C₂⁴	—	53	1	no	—
1553	C₂⁴	—	53	1	no	—
1554	C₂⁴	—	53	1	no	—
1555	C₂⁴	—	53	1	no	—
1556	C₂⁴	—	53	4	no	—
1557	C₂⁴	—	212	2	no	—
1558	C₂⁴	—	212	2	no	—
1559	C₂⁴	—	212	2	no	—
1560	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1561	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1562	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1563	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1564	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1565	C₂⁴	C₂³×D₅₃	1	4	yes	—
1566	#41	—	212	16	no	—
1567	#41	—	212	16	no	—
1568	#41	—	212	16	no	—
1569	#41	—	212	16	no	—
1570	C₂×Q₈	—	4	2	no	—
1571	C₂×Q₈	—	53	4	no	—
1572	C₂×Q₈	—	53	4	no	—
1573	C₂×Q₈	—	53	4	no	—
1574	C₂×Q₈	—	53	4	no	—
1575	C₂×Q₈	—	53	4	no	—
1576	C₂×Q₈	—	106	4	no	—
1577	C₂×Q₈	—	106	4	no	—
1578	C₂×Q₈	—	212	2	no	—
1579	C₂×Q₈	—	212	2	no	—
1580	C₂×Q₈	—	212	2	no	—
1581	C₂×Q₈	—	212	16	no	—
1582	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1583	C₂×D₄	—	4	2	no	—
1584	C₂×D₄	—	4	2	no	—
1585	C₂×D₄	—	4	2	no	—
1586	C₂×D₄	—	4	2	no	—
1587	C₂×D₄	—	4	2	no	—
1588	C₂×D₄	—	4	2	no	—
1589	C₂×D₄	—	4	2	no	—
1590	C₂×D₄	—	53	4	no	—
1591	C₂×D₄	—	53	4	no	—
1592	C₂×D₄	—	53	4	no	—
1593	C₂×D₄	—	53	4	no	—
1594	C₂×D₄	—	53	4	no	—
1595	C₂×D₄	—	53	4	no	—
1596	C₂×D₄	—	53	4	no	—
1597	C₂×D₄	—	53	4	no	—
1598	C₂×D₄	—	53	4	no	—
1599	C₂×D₄	—	53	4	no	—
1600	C₂×D₄	—	53	4	no	—
1601	C₂×D₄	—	53	4	no	—
1602	C₂×D₄	—	53	4	no	—
1603	C₂×D₄	—	53	4	no	—
1604	C₂×D₄	—	53	4	no	—
1605	C₂×D₄	—	53	4	no	—
1606	C₂×D₄	—	53	4	no	—
1607	C₂×D₄	—	53	4	no	—
1608	C₂×D₄	—	53	4	no	—
1609	C₂×D₄	—	53	4	no	—
1610	C₂×D₄	—	53	4	no	—
1611	C₂×D₄	—	53	4	no	—
1612	C₂×D₄	—	53	4	no	—
1613	C₂×D₄	—	106	4	no	—
1614	C₂×D₄	—	106	4	no	—
1615	C₂×D₄	—	212	2	no	—
1616	C₂×D₄	—	212	2	no	—
1617	C₂×D₄	—	212	2	no	—
1618	C₂×D₄	—	212	2	no	—
1619	C₂×D₄	—	212	2	no	—
1620	C₂×D₄	—	212	16	no	—
1621	C₂×D₄	—	212	2	no	—
1622	C₂×D₄	—	212	2	no	—
1623	C₂×D₄	—	212	2	no	—
1624	C₂×D₄	—	212	2	no	—
1625	C₂×D₄	—	212	2	no	—
1626	C₂×D₄	—	212	2	no	—
1627	C₂×D₄	—	212	2	no	—
1628	C₂×D₄	—	212	2	no	—
1629	C₂×D₄	—	212	2	no	—
1630	C₂×D₄	—	212	2	no	—
1631	C₂×D₄	—	212	2	no	—
1632	C₂×D₄	—	212	2	no	—
1633	C₂×D₄	—	212	2	no	—
1634	C₂×D₄	—	212	2	no	—
1635	C₂×D₄	—	212	2	no	—
1636	C₂×D₄	—	212	2	no	—
1637	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1638	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1639	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1640	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1641	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1642	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1643	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1644	C₂²×C₄	—	4	2	no	—
1645	C₂²×C₄	—	4	2	no	—
1646	C₂²×C₄	—	4	2	no	—
1647	C₂²×C₄	—	4	2	no	—
1648	C₂²×C₄	—	53	1	no	—
1649	C₂²×C₄	—	53	4	no	—
1650	C₂²×C₄	—	53	4	no	—
1651	C₂²×C₄	—	53	4	no	—
1652	C₂²×C₄	—	53	1	no	—
1653	C₂²×C₄	—	53	1	no	—
1654	C₂²×C₄	—	53	1	no	—
1655	C₂²×C₄	—	53	1	no	—
1656	C₂²×C₄	—	53	1	no	—
1657	C₂²×C₄	—	53	1	no	—
1658	C₂²×C₄	—	53	1	no	—
1659	C₂²×C₄	—	53	1	no	—
1660	C₂²×C₄	—	53	1	no	—
1661	C₂²×C₄	—	53	1	no	—
1662	C₂²×C₄	—	53	1	no	—
1663	C₂²×C₄	—	53	4	no	—
1664	C₂²×C₄	—	53	4	no	—
1665	C₂²×C₄	—	53	4	no	—
1666	C₂²×C₄	—	53	4	no	—
1667	C₂²×C₄	—	53	4	no	—
1668	C₂²×C₄	—	53	4	no	—
1669	C₂²×C₄	—	53	4	no	—
1670	C₂²×C₄	—	53	4	no	—
1671	C₂²×C₄	—	53	4	no	—
1672	C₂²×C₄	—	53	4	no	—
1673	C₂²×C₄	—	53	4	no	—
1674	C₂²×C₄	—	53	4	no	—
1675	C₂²×C₄	—	53	4	no	—
1676	C₂²×C₄	—	53	4	no	—
1677	C₂²×C₄	—	106	4	no	—
1678	C₂²×C₄	—	106	4	no	—
1679	C₂²×C₄	—	106	4	no	—
1680	C₂²×C₄	—	106	4	no	—
1681	C₂²×C₄	—	106	4	no	—
1682	C₂²×C₄	—	212	2	no	—
1683	C₂²×C₄	—	212	2	no	—
1684	C₂²×C₄	—	212	2	no	—
1685	C₂²×C₄	—	212	2	no	—
1686	C₂²×C₄	—	212	2	no	—
1687	C₂²×C₄	—	212	2	no	—
1688	C₂²×C₄	—	212	2	no	—
1689	C₂²×C₄	—	212	2	no	—
1690	C₂²×C₄	—	212	2	no	—
1691	C₂²×C₄	—	212	2	no	—
1692	C₂²×C₄	—	212	2	no	—
1693	C₂²×C₄	—	212	2	no	—
1694	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1695	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1696	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1697	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1698	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1699	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1700	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1701	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1702	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1703	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1704	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1705	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1706	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1707	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
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	—	53	4	no	—
1717	C₄⋊C₄	—	53	4	no	—
1718	C₄⋊C₄	—	53	4	no	—
1719	C₄⋊C₄	—	53	4	no	—
1720	C₄⋊C₄	—	53	4	no	—
1721	C₄⋊C₄	—	53	4	no	—
1722	C₄⋊C₄	—	53	4	no	—
1723	C₄⋊C₄	—	53	4	no	—
1724	C₄⋊C₄	—	53	4	no	—
1725	C₄⋊C₄	—	53	4	no	—
1726	C₄⋊C₄	—	53	4	no	—
1727	C₄⋊C₄	—	53	4	no	—
1728	C₄⋊C₄	—	53	4	no	—
1729	C₄⋊C₄	—	53	4	no	—
1730	C₄⋊C₄	—	53	4	no	—
1731	C₄⋊C₄	—	53	4	no	—
1732	C₄⋊C₄	—	53	4	no	—
1733	C₄⋊C₄	—	53	4	no	—
1734	C₄⋊C₄	—	53	4	no	—
1735	C₄⋊C₄	—	53	4	no	—
1736	C₄⋊C₄	—	53	4	no	—
1737	C₄⋊C₄	—	53	4	no	—
1738	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1739	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1740	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1741	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1742	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1743	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
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	—	53	4	no	—
1763	C₂²⋊C₄	—	53	4	no	—
1764	C₂²⋊C₄	—	53	4	no	—
1765	C₂²⋊C₄	—	53	4	no	—
1766	C₂²⋊C₄	—	53	4	no	—
1767	C₂²⋊C₄	—	53	4	no	—
1768	C₂²⋊C₄	—	53	4	no	—
1769	C₂²⋊C₄	—	53	4	no	—
1770	C₂²⋊C₄	—	53	4	no	—
1771	C₂²⋊C₄	—	53	4	no	—
1772	C₂²⋊C₄	—	53	4	no	—
1773	C₂²⋊C₄	—	53	4	no	—
1774	C₂²⋊C₄	—	53	4	no	—
1775	C₂²⋊C₄	—	53	4	no	—
1776	C₂²⋊C₄	—	53	4	no	—
1777	C₂²⋊C₄	—	53	4	no	—
1778	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1779	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1780	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1781	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1782	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1783	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1784	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1785	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1786	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1787	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1788	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1789	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1790	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1791	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1792	C₄²	—	53	4	no	—
1793	C₄²	—	53	4	no	—
1794	C₄²	—	53	4	no	—
1795	C₄²	—	53	4	no	—
1796	C₄²	—	53	4	no	—
1797	C₄²	—	53	4	no	—
1798	C₄²	—	53	4	no	—
1799	C₄²	—	53	4	no	—
1800	C₄²	—	53	4	no	—
1801	C₄²	—	53	4	no	—
1802	C₄²	C₂³×D₅₃	1	4	yes	—
1803	C₄²	C₂³×D₅₃	1	4	yes	—
1804	C₂³	—	2	2	no	—
1805	C₂³	—	2	2	no	—
1806	C₂³	—	2	2	no	—
1807	C₂³	—	2	2	no	—
1808	C₂³	—	2	2	no	—
1809	C₂³	—	2	2	no	—
1810	C₂³	—	2	2	no	—
1811	C₂³	—	2	2	no	—
1812	C₂³	—	2	2	no	—
1813	C₂³	—	2	2	no	—
1814	C₂³	—	2	2	no	—
1815	C₂³	—	2	2	no	—
1816	C₂³	—	2	2	no	—
1817	C₂³	—	2	2	no	—
1818	C₂³	—	2	2	no	—
1819	C₂³	—	4	4	no	—
1820	C₂³	—	4	4	no	—
1821	C₂³	—	4	4	no	—
1822	C₂³	—	8	8	no	—
1823	C₂³	—	53	2	no	—
1824	C₂³	—	53	2	no	—
1825	C₂³	—	53	2	no	—
1826	C₂³	—	53	2	no	—
1827	C₂³	—	106	2	no	—
1828	C₂³	—	106	2	no	—
1829	C₂³	—	106	2	no	—
1830	C₂³	—	106	2	no	—
1831	C₂³	—	106	2	no	—
1832	C₂³	—	106	2	no	—
1833	C₂³	—	106	2	no	—
1834	C₂³	—	106	2	no	—
1835	C₂³	—	106	2	no	—
1836	C₂³	—	106	2	no	—
1837	C₂³	—	106	2	no	—
1838	C₂³	—	106	2	no	—
1839	C₂³	—	424	8	no	—
1840	C₂³	—	212	4	no	—
1841	C₂³	—	212	4	no	—
1842	C₂³	—	212	4	no	—
1843	C₂³	C₂⁴×D₅₃	1	2	yes	—
1844	C₂³	C₂⁴×D₅₃	1	2	yes	—
1845	C₂³	C₂⁴×D₅₃	1	2	yes	—
1846	C₂³	C₂⁴×D₅₃	1	2	yes	—
1847	C₂³	C₂⁴×D₅₃	1	2	yes	—
1848	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1849	Q₈	—	4	4	no	—
1850	Q₈	—	106	8	no	—
1851	Q₈	—	106	8	no	—
1852	Q₈	—	212	4	no	—
1853	Q₈	—	212	4	no	—
1854	Q₈	—	212	4	no	—
1855	D₄	—	4	4	no	—
1856	D₄	—	4	4	no	—
1857	D₄	—	4	4	no	—
1858	D₄	—	4	4	no	—
1859	D₄	—	4	4	no	—
1860	D₄	—	4	4	no	—
1861	D₄	—	4	4	no	—
1862	D₄	—	106	8	no	—
1863	D₄	—	106	8	no	—
1864	D₄	—	212	4	no	—
1865	D₄	—	212	4	no	—
1866	D₄	—	212	4	no	—
1867	D₄	—	212	4	no	—
1868	D₄	—	212	4	no	—
1869	D₄	—	212	4	no	—
1870	D₄	—	212	4	no	—
1871	D₄	—	212	4	no	—
1872	D₄	—	212	4	no	—
1873	D₄	—	212	4	no	—
1874	D₄	—	212	4	no	—
1875	D₄	—	212	4	no	—
1876	D₄	—	212	4	no	—
1877	D₄	—	212	4	no	—
1878	D₄	—	212	4	no	—
1879	D₄	—	212	4	no	—
1880	D₄	—	212	4	no	—
1881	D₄	—	212	4	no	—
1882	D₄	—	212	4	no	—
1883	D₄	—	212	4	no	—
1884	D₄	—	212	4	no	—
1885	C₂×C₄	—	2	2	no	—
1886	C₂×C₄	—	2	2	no	—
1887	C₂×C₄	—	2	2	no	—
1888	C₂×C₄	—	2	2	no	—
1889	C₂×C₄	—	2	2	no	—
1890	C₂×C₄	—	2	2	no	—
1891	C₂×C₄	—	2	2	no	—
1892	C₂×C₄	—	2	2	no	—
1893	C₂×C₄	—	2	2	no	—
1894	C₂×C₄	—	2	2	no	—
1895	C₂×C₄	—	4	4	no	—
1896	C₂×C₄	—	4	4	no	—
1897	C₂×C₄	—	4	4	no	—
1898	C₂×C₄	—	4	4	no	—
1899	C₂×C₄	—	53	4	no	—
1900	C₂×C₄	—	53	2	no	—
1901	C₂×C₄	—	53	2	no	—
1902	C₂×C₄	—	53	2	no	—
1903	C₂×C₄	—	53	2	no	—
1904	C₂×C₄	—	53	2	no	—
1905	C₂×C₄	—	53	2	no	—
1906	C₂×C₄	—	53	2	no	—
1907	C₂×C₄	—	53	2	no	—
1908	C₂×C₄	—	53	2	no	—
1909	C₂×C₄	—	53	2	no	—
1910	C₂×C₄	—	53	2	no	—
1911	C₂×C₄	—	53	2	no	—
1912	C₂×C₄	—	106	8	no	—
1913	C₂×C₄	—	106	8	no	—
1914	C₂×C₄	—	106	8	no	—
1915	C₂×C₄	—	106	8	no	—
1916	C₂×C₄	—	106	8	no	—
1917	C₂×C₄	—	106	2	no	—
1918	C₂×C₄	—	106	2	no	—
1919	C₂×C₄	—	106	2	no	—
1920	C₂×C₄	—	106	2	no	—
1921	C₂×C₄	—	106	2	no	—
1922	C₂×C₄	—	106	2	no	—
1923	C₂×C₄	—	106	2	no	—
1924	C₂×C₄	—	106	2	no	—
1925	C₂×C₄	—	106	2	no	—
1926	C₂×C₄	—	106	2	no	—
1927	C₂×C₄	—	106	2	no	—
1928	C₂×C₄	—	212	4	no	—
1929	C₂×C₄	—	212	4	no	—
1930	C₂×C₄	—	212	4	no	—
1931	C₂×C₄	—	212	4	no	—
1932	C₂×C₄	—	212	4	no	—
1933	C₂×C₄	—	212	4	no	—
1934	C₂×C₄	—	212	4	no	—
1935	C₂×C₄	—	212	4	no	—
1936	C₂×C₄	—	212	4	no	—
1937	C₂×C₄	—	212	4	no	—
1938	C₂×C₄	—	212	4	no	—
1939	C₂×C₄	—	212	4	no	—
1940	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1941	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1942	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1943	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1944	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1945	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1946	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1947	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1948	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1949	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1950	C₂²	—	2	2	no	—
1951	C₂²	—	2	2	no	—
1952	C₂²	—	2	2	no	—
1953	C₂²	—	2	2	no	—
1954	C₂²	—	2	2	no	—
1955	C₂²	—	2	2	no	—
1956	C₂²	—	2	2	no	—
1957	C₂²	—	2	2	no	—
1958	C₂²	—	2	2	no	—
1959	C₂²	—	2	2	no	—
1960	C₂²	—	2	2	no	—
1961	C₂²	—	2	2	no	—
1962	C₂²	—	2	2	no	—
1963	C₂²	—	2	2	no	—
1964	C₂²	—	2	2	no	—
1965	C₂²	—	4	4	no	—
1966	C₂²	—	4	4	no	—
1967	C₂²	—	4	4	no	—
1968	C₂²	—	4	4	no	—
1969	C₂²	—	4	4	no	—
1970	C₂²	—	8	8	no	—
1971	C₂²	—	106	2	no	—
1972	C₂²	—	106	2	no	—
1973	C₂²	—	106	2	no	—
1974	C₂²	—	106	2	no	—
1975	C₂²	—	106	2	no	—
1976	C₂²	—	106	2	no	—
1977	C₂²	—	106	2	no	—
1978	C₂²	—	106	2	no	—
1979	C₂²	—	106	2	no	—
1980	C₂²	—	106	2	no	—
1981	C₂²	—	106	2	no	—
1982	C₂²	—	106	2	no	—
1983	C₂²	—	424	8	no	—
1984	C₂²	—	212	4	no	—
1985	C₂²	—	212	4	no	—
1986	C₂²	—	212	4	no	—
1987	C₂²	—	212	4	no	—
1988	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
1989	C₂²	#16811458	1	2	yes	—
1990	C₂²	#16811459	1	2	yes	—
1991	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1992	C₄	—	2	2	no	—
1993	C₄	—	2	2	no	—
1994	C₄	—	2	2	no	—
1995	C₄	—	2	2	no	—
1996	C₄	—	2	2	no	—
1997	C₄	—	2	2	no	—
1998	C₄	—	2	2	no	—
1999	C₄	—	2	2	no	—
2000	C₄	—	2	2	no	—
2001	C₄	—	2	2	no	—
2002	C₄	—	53	4	no	—
2003	C₄	—	106	2	no	—
2004	C₄	—	106	2	no	—
2005	C₄	—	106	2	no	—
2006	C₄	—	106	2	no	—
2007	C₄	—	106	2	no	—
2008	C₄	—	106	2	no	—
2009	C₄	—	106	2	no	—
2010	C₄	—	106	2	no	—
2011	C₄	—	106	2	no	—
2012	C₄	—	106	2	no	—
2013	C₄	—	106	2	no	—
2014	C₂	—	4	2	no	—
2015	C₂	—	4	2	no	—
2016	C₂	—	4	2	no	—
2017	C₂	—	4	2	no	—
2018	C₂	—	4	2	no	—
2019	C₂	—	212	2	no	—
2020	C₂	—	212	2	no	—
2021	C₂	—	212	2	no	—
2022	C₂	—	212	2	no	—
2023	C₂	#20289132	1	4	yes	direct product factor
2024	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2025	C₂	C₂×#16811458	1	1	yes	characteristic
2026	C₂	C₂×#16811459	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#538	C₂
socle	C₂³×C₅₃	C₂⁵
hypercenter	C₂×#538	D₅₃
hypocenter	C₅₃	C₂×#3551
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#538

Complements

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

N	H ≅ G/N	type
1. #20289132	C₂	direct (N × H)
2. C₂×#16811375	C₂	semidirect
3. C₂×#16811374	C₂	semidirect
4. C₂×#16811363	C₂	semidirect
5. C₂×#16811362	C₂	semidirect
6. C₂×#16811338	C₂	semidirect
7. C₂×#16811335	C₂	semidirect
8. C₂×#16811324	C₂	semidirect
9. C₂×#16811322	C₂	semidirect
10. C₂×#16811310	C₂	semidirect
11. C₂×#16811309	C₂	semidirect
12. C₂×#16811299	C₂	semidirect
13. C₂×#16811298	C₂	semidirect
14. C₂×#16811283	C₂	semidirect
15. C₂×#16811281	C₂	semidirect
16. C₂×#16811263	C₂	semidirect
17. C₂×#16811260	C₂	semidirect
18. C₂×#16811226	C₂	semidirect
19. C₂×#16811225	C₂	semidirect
20. C₂×#16811224	C₂	semidirect
21. C₂×#16811223	C₂	semidirect
22. C₂×#16811208	C₂	semidirect
23. C₂×#16811207	C₂	semidirect
24. C₂×#16811205	C₂	semidirect
25. C₂×#16811202	C₂	semidirect
26. C₂×#16811200	C₂	semidirect
27. C₂×#16811193	C₂	semidirect
28. C₂×#16811188	C₂	semidirect
29. C₂×#16811168	C₂	semidirect
30. C₂×#16811153	C₂	semidirect
31. C₂×#16811150	C₂	semidirect
32. C₂×C₅₃×#538	C₂	semidirect
36. C₂²×#11719947	C₂²	semidirect
37. C₂²×Q₈×D₅₃	C₂²	semidirect
39. #16811375	C₂²	semidirect
40. #16811374	C₂²	semidirect
41. #16811363	C₂²	semidirect
42. #16811362	C₂²	semidirect
43. #16811338	C₂²	semidirect
44. #16811335	C₂²	semidirect
45. #16811324	C₂²	semidirect
46. #16811322	C₂²	semidirect
47. #16811310	C₂²	semidirect
48. #16811309	C₂²	semidirect
49. #16811299	C₂²	semidirect
50. #16811298	C₂²	semidirect
51. #16811283	C₂²	semidirect
52. #16811281	C₂²	semidirect
53. #16811263	C₂²	semidirect
54. #16811260	C₂²	semidirect
55. #16811226	C₂²	semidirect
56. #16811225	C₂²	semidirect
57. #16811224	C₂²	semidirect
58. #16811223	C₂²	semidirect
59. #16811208	C₂²	semidirect
60. #16811207	C₂²	semidirect
61. #16811205	C₂²	semidirect
62. #16811202	C₂²	semidirect
63. #16811200	C₂²	semidirect
64. #16811193	C₂²	semidirect
65. #16811188	C₂²	semidirect
66. #16811168	C₂²	semidirect
67. C₂×#13133217	C₂²	semidirect
68. C₂×#13133216	C₂²	semidirect
69. C₂×#13133215	C₂²	semidirect
73. #16811153	C₂²	semidirect
74. #16811150	C₂²	semidirect
75. C₂×#13133212	C₂²	semidirect
76. C₂×#13133212	C₂²	semidirect
77. C₂×#13133212	C₂²	semidirect
78. C₂×#13133211	C₂²	semidirect
82. C₂×#13133210	C₂²	semidirect
83. C₂×#13133210	C₂²	semidirect
84. C₂×#13133210	C₂²	semidirect
85. C₂×#13133208	C₂²	semidirect
86. C₂×#13133208	C₂²	semidirect
87. C₂×#13133207	C₂²	semidirect
88. C₂×#13133207	C₂²	semidirect
89. C₂×#13133207	C₂²	semidirect
90. C₂×#13133207	C₂²	semidirect
91. C₂×#13133206	C₂²	semidirect
98. C₂×#13133203	C₂²	semidirect
99. C₂×#13133203	C₂²	semidirect
100. C₂×#13133203	C₂²	semidirect
101. C₂×#13133202	C₂²	semidirect
102. C₂×#13133202	C₂²	semidirect
104. C₂×#13133201	C₂²	semidirect
105. C₂×#13133201	C₂²	semidirect
107. C₂×#13133200	C₂²	semidirect
108. C₂×#13133200	C₂²	semidirect
115. C₂×#13133199	C₂²	semidirect
116. C₂×#13133199	C₂²	semidirect
118. C₂×#13133198	C₂²	semidirect
119. C₂×#13133197	C₂²	semidirect
120. C₂×#13133196	C₂²	semidirect
121. C₂×#13133195	C₂²	semidirect
122. C₂×#13133195	C₂²	semidirect
123. C₂×#13133195	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
131. C₂×#13133193	C₂²	semidirect
132. C₂×#13133192	C₂²	semidirect
133. C₂×#13133192	C₂²	semidirect
135. C₂×#13133191	C₂²	semidirect
136. C₂×#13133191	C₂²	semidirect
137. C₂×#13133191	C₂²	semidirect
142. C₂×#13133190	C₂²	semidirect
143. C₂×#13133190	C₂²	semidirect
144. C₂×#13133190	C₂²	semidirect
145. C₂×#13133190	C₂²	semidirect
146. C₂×#13133190	C₂²	semidirect
147. C₂×#13133190	C₂²	semidirect
153. C₂×#13133189	C₂²	semidirect
154. C₂×#13133189	C₂²	semidirect
155. C₂×#13133189	C₂²	semidirect
156. C₂×#13133189	C₂²	semidirect
157. C₂×#13133189	C₂²	semidirect
159. C₂×#13133188	C₂²	semidirect
160. C₂×#13133188	C₂²	semidirect
161. C₂×#13133188	C₂²	semidirect
162. C₂×#13133188	C₂²	semidirect
169. C₂×C₄×Dic₁₀₆	C₂²	semidirect
170. C₂×#13133182	C₂²	semidirect
171. C₂×C₄×D₂₁₂	C₂²	semidirect
172. C₂×C₄×D₂₁₂	C₂²	semidirect
174. C₂×D₄×Dic₅₃	C₂²	semidirect
175. C₂×#13133179	C₂²	semidirect
176. C₂×#13133179	C₂²	semidirect
178. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
179. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
182. C₂×#13133177	C₂²	semidirect
183. C₂×#13133177	C₂²	semidirect
184. C₂×#13133177	C₂²	semidirect
185. C₂×#13133177	C₂²	semidirect
186. C₂×#13133177	C₂²	semidirect
187. C₂×#13133176	C₂²	semidirect
188. C₂×#13133176	C₂²	semidirect
189. C₂×#13133175	C₂²	semidirect
190. C₂×#13133175	C₂²	semidirect
191. C₂×#13133174	C₂²	semidirect
192. C₂×#13133174	C₂²	semidirect
193. C₂×#13133174	C₂²	semidirect
195. C₂×#13133173	C₂²	semidirect
196. C₂×#13133173	C₂²	semidirect
197. C₂²×#11719919	C₂²	semidirect
198. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
202. C₂²×C₄×Dic₅₃	C₂²	semidirect
203. C₅₃×#538	C₂²	semidirect
205. C₂×#126×C₅₃	C₂²	semidirect
207. C₂×#124×C₅₃	C₂²	semidirect
209. C₂×#123×C₅₃	C₂²	semidirect
210. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
212. C₂×#121×C₅₃	C₂²	semidirect
213. C₂×#121×C₅₃	C₂²	semidirect
216. C₂×C₄×D₄×C₅₃	C₂²	semidirect
217. C₂×C₄×D₄×C₅₃	C₂²	semidirect
227. C₂×#11719947	C₂³	semidirect
234. C₂×Q₈×D₅₃	C₂³	semidirect
277. #13133217	C₂³	semidirect
278. #13133216	C₂³	semidirect
279. #13133215	C₂³	semidirect
283. #13133212	C₂³	semidirect
284. #13133212	C₂³	semidirect
285. #13133212	C₂³	semidirect
286. #13133211	C₂³	semidirect
290. #13133210	C₂³	semidirect
291. #13133210	C₂³	semidirect
292. #13133210	C₂³	semidirect
293. #13133208	C₂³	semidirect
294. #13133208	C₂³	semidirect
295. #13133207	C₂³	semidirect
296. #13133207	C₂³	semidirect
297. #13133207	C₂³	semidirect
298. #13133207	C₂³	semidirect
299. #13133206	C₂³	semidirect
306. #13133203	C₂³	semidirect
307. #13133203	C₂³	semidirect
308. #13133203	C₂³	semidirect
309. #13133202	C₂³	semidirect
310. #13133202	C₂³	semidirect
312. #13133201	C₂³	semidirect
313. #13133201	C₂³	semidirect
315. #13133200	C₂³	semidirect
316. #13133200	C₂³	semidirect
323. #13133199	C₂³	semidirect
324. #13133199	C₂³	semidirect
326. #13133198	C₂³	semidirect
327. #13133197	C₂³	semidirect
328. #13133196	C₂³	semidirect
329. #13133195	C₂³	semidirect
330. #13133195	C₂³	semidirect
331. #13133195	C₂³	semidirect
334. #13133194	C₂³	semidirect
335. #13133194	C₂³	semidirect
336. #13133194	C₂³	semidirect
337. #13133194	C₂³	semidirect
338. #13133194	C₂³	semidirect
339. #13133193	C₂³	semidirect
340. #13133192	C₂³	semidirect
341. #13133192	C₂³	semidirect
343. #13133191	C₂³	semidirect
344. #13133191	C₂³	semidirect
345. #13133191	C₂³	semidirect
350. #13133190	C₂³	semidirect
351. #13133190	C₂³	semidirect
352. #13133190	C₂³	semidirect
353. #13133190	C₂³	semidirect
354. #13133190	C₂³	semidirect
355. #13133190	C₂³	semidirect
361. #13133189	C₂³	semidirect
362. #13133189	C₂³	semidirect
363. #13133189	C₂³	semidirect
364. #13133189	C₂³	semidirect
365. #13133189	C₂³	semidirect
367. #13133188	C₂³	semidirect
368. #13133188	C₂³	semidirect
369. #13133188	C₂³	semidirect
370. #13133188	C₂³	semidirect
377. C₄×Dic₁₀₆	C₂³	semidirect
378. #13133182	C₂³	semidirect
379. C₄×D₂₁₂	C₂³	semidirect
380. C₄×D₂₁₂	C₂³	semidirect
382. D₄×Dic₅₃	C₂³	semidirect
383. #13133179	C₂³	semidirect
384. #13133179	C₂³	semidirect
386. C₄×C₂²⋊D₅₃	C₂³	semidirect
387. C₄×C₂²⋊D₅₃	C₂³	semidirect
390. #13133177	C₂³	semidirect
391. #13133177	C₂³	semidirect
392. #13133177	C₂³	semidirect
393. #13133177	C₂³	semidirect
394. #13133177	C₂³	semidirect
395. #13133176	C₂³	semidirect
396. #13133176	C₂³	semidirect
397. #13133175	C₂³	semidirect
398. #13133175	C₂³	semidirect
399. #13133174	C₂³	semidirect
400. #13133174	C₂³	semidirect
401. #13133174	C₂³	semidirect
403. #13133173	C₂³	semidirect
404. #13133173	C₂³	semidirect
435. C₂×#11719919	C₂³	semidirect
436. C₄⋊C₄×D₅₃	C₂³	semidirect
484. C₂×C₄×Dic₅₃	C₂³	semidirect
499. #126×C₅₃	C₂³	semidirect
501. #124×C₅₃	C₂³	semidirect
503. #123×C₅₃	C₂³	semidirect
504. C₂²⋊Q₈×C₅₃	C₂³	semidirect
506. #121×C₅₃	C₂³	semidirect
507. #121×C₅₃	C₂³	semidirect
510. C₄×D₄×C₅₃	C₂³	semidirect
511. C₄×D₄×C₅₃	C₂³	semidirect
1025. C₂×#538	D₅₃	semidirect
1038. C₂×C₅₃	#3551	semidirect
1075. #538	C₂×D₅₃	semidirect
1100. C₂×#126	C₂×D₅₃	semidirect
1118. C₂×#124	C₂×D₅₃	semidirect
1138. C₂×#123	C₂×D₅₃	semidirect
1152. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1185. C₂×#121	C₂×D₅₃	semidirect
1186. C₂×#121	C₂×D₅₃	semidirect
1213. C₂×C₄×D₄	C₂×D₅₃	semidirect
1214. C₂×C₄×D₄	C₂×D₅₃	semidirect
1232. C₅₃	C₂×#3551	semidirect
1321. #126	C₂²×D₅₃	semidirect
1339. #124	C₂²×D₅₃	semidirect
1359. #123	C₂²×D₅₃	semidirect
1373. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1406. #121	C₂²×D₅₃	semidirect
1407. #121	C₂²×D₅₃	semidirect
1434. C₄×D₄	C₂²×D₅₃	semidirect
1435. C₄×D₄	C₂²×D₅₃	semidirect
2023. C₂	#20289132	direct (N × H)

Maximal subgroups

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

subgroup	index
#20289132	2
C₂×#16811375	2
C₂×#16811374	2
C₂×#16811363	2
C₂×#16811362	2
C₂×#16811338	2
C₂×#16811335	2
C₂×#16811324	2
C₂×#16811322	2
C₂×#16811310	2
C₂×#16811309	2
C₂×#16811299	2
C₂×#16811298	2
C₂×#16811283	2
C₂×#16811281	2
C₂×#16811263	2
C₂×#16811260	2
C₂×#16811226	2
C₂×#16811225	2
C₂×#16811224	2
C₂×#16811223	2
C₂×#16811208	2
C₂×#16811207	2
C₂×#16811205	2
C₂×#16811202	2
C₂×#16811200	2
C₂×#16811193	2
C₂×#16811188	2
C₂×#16811168	2
C₂×#16811153	2
C₂×#16811150	2
C₂×C₅₃×#538	2
C₂×#3551	53

Subgroups — C2×#20289132 #28291559

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20289132 #28291559