Subgroups — #28249017

Order 13568.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288198	C₂	1	1	yes	maximal, characteristic
2	#20283788	C₂	1	1	yes	maximal, characteristic, complemented
3	#20283787	C₂	1	1	yes	maximal, characteristic, complemented
4	#20283780	C₂	1	1	yes	maximal, characteristic, complemented
5	#20283779	C₂	1	1	yes	maximal, characteristic, complemented
6	#20283776	C₂	1	1	yes	maximal, characteristic, complemented
7	#20283772	C₂	1	1	yes	maximal, characteristic, complemented
8	#20283772	C₂	1	1	yes	maximal, characteristic, complemented
9	#20283764	C₂	1	1	yes	maximal, characteristic, complemented
10	#20283763	C₂	1	1	yes	maximal, characteristic, complemented
11	#20283762	C₂	1	1	yes	maximal, characteristic, complemented
12	#20283761	C₂	1	1	yes	maximal, characteristic, complemented
13	#20283754	C₂	1	1	yes	maximal, characteristic, complemented
14	#20283753	C₂	1	1	yes	maximal, characteristic, complemented
15	#20283751	C₂	1	1	yes	maximal, characteristic, complemented
16	#20283745	C₂	1	1	yes	maximal, characteristic, complemented
17	#20283456	C₂	1	1	yes	maximal, characteristic, complemented
18	#20283448	C₂	1	1	yes	maximal, characteristic, complemented
19	#20283444	C₂	1	1	yes	maximal, characteristic, complemented
20	#20283441	C₂	1	1	yes	maximal, characteristic, complemented
21	#20283424	C₂	1	1	yes	maximal, characteristic, complemented
22	#20283415	C₂	1	1	yes	maximal, characteristic, complemented
23	#20283413	C₂	1	1	yes	maximal, characteristic, complemented
24	#436×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#20283378	C₂	1	1	yes	maximal, characteristic, complemented
26	#20283356	C₂	1	1	yes	maximal, characteristic, complemented
27	#20283165	C₂	1	1	yes	maximal, characteristic, complemented
28	#20283163	C₂	1	1	yes	maximal, characteristic, complemented
29	#20283158	C₂	1	1	yes	maximal, characteristic, complemented
30	#20283157	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#11719945	C₂²	1	1	yes	characteristic
33	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
34	C₂×#13133225	C₂²	1	1	yes	characteristic, complemented
35	C₂×#13133225	C₂²	1	1	yes	characteristic, complemented
36	C₂×#13133225	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13133223	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#11719912	C₂²	1	1	yes	characteristic, complemented
39	C₂×M₁₆×D₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×M₁₆×D₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×M₁₆×D₅₃	C₂²	1	1	yes	characteristic, complemented
42	#16811291	C₄	1	1	yes	characteristic
43	#16811286	C₄	1	1	yes	characteristic
44	#16811283	C₄	1	1	yes	characteristic
45	#16811279	C₄	1	1	yes	characteristic
46	#16811275	C₄	1	1	yes	characteristic
47	#16811271	C₄	1	1	yes	characteristic
48	#16811271	C₄	1	1	yes	characteristic
49	#16811270	C₄	1	1	yes	characteristic
50	#16811265	C₄	1	1	yes	characteristic
51	#16811265	C₄	1	1	yes	characteristic
52	#16811264	C₄	1	1	yes	characteristic
53	#16811260	C₄	1	1	yes	characteristic
54	#16811260	C₄	1	1	yes	characteristic
55	#16811257	C₄	1	1	yes	characteristic
56	#16811255	C₄	1	1	yes	characteristic
57	#16811255	C₄	1	1	yes	characteristic
58	#16811170	C₂²	1	1	yes	characteristic
59	#16811170	C₂²	1	1	yes	characteristic
60	#16811169	C₂²	1	1	yes	characteristic
61	#16811135	C₂²	1	1	yes	characteristic
62	#16811132	C₂²	1	1	yes	characteristic
63	#16811132	C₂²	1	1	yes	characteristic
64	#16811132	C₂²	1	1	yes	characteristic
65	#16811132	C₂²	1	1	yes	characteristic
66	#16811091	C₂²	1	1	yes	characteristic
67	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
68	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
70	#16810702	C₂²	1	1	yes	characteristic, complemented
71	#16810702	C₂²	1	1	yes	characteristic, complemented
72	#16810702	C₂²	1	1	yes	characteristic, complemented
73	#16810701	C₂²	1	1	yes	characteristic, complemented
74	#16810701	C₂²	1	1	yes	characteristic, complemented
75	#16810700	C₂²	1	1	yes	characteristic, complemented
76	#16810700	C₂²	1	1	yes	characteristic, complemented
77	#16810700	C₂²	1	1	yes	characteristic, complemented
78	#16810699	C₂²	1	1	yes	characteristic
79	#16810699	C₂²	1	1	yes	characteristic
80	#16810699	C₂²	1	1	yes	characteristic, complemented
81	#16810699	C₂²	1	1	yes	characteristic, complemented
82	#16810699	C₂²	1	1	yes	characteristic, complemented
83	#16810699	C₂²	1	1	yes	characteristic, complemented
84	#16810699	C₂²	1	1	yes	characteristic, complemented
85	#16810699	C₂²	1	1	yes	characteristic, complemented
86	#16810699	C₂²	1	1	yes	characteristic, complemented
87	#16810698	C₂²	1	1	yes	characteristic
88	#16810698	C₂²	1	1	yes	characteristic
89	#16810698	C₂²	1	1	yes	characteristic, complemented
90	#16810698	C₂²	1	1	yes	characteristic, complemented
91	#16810698	C₂²	1	1	yes	characteristic, complemented
92	#16810698	C₂²	1	1	yes	characteristic, complemented
93	#16810698	C₂²	1	1	yes	characteristic, complemented
94	#16810697	C₂²	1	1	yes	characteristic, complemented
95	#16810696	C₂²	1	1	yes	characteristic, complemented
96	#16810696	C₂²	1	1	yes	characteristic, complemented
97	#16810696	C₂²	1	1	yes	characteristic, complemented
98	#16810696	C₂²	1	1	yes	characteristic, complemented
99	#16810695	C₂²	1	1	yes	characteristic, complemented
100	#16810695	C₂²	1	1	yes	characteristic, complemented
101	#16810695	C₂²	1	1	yes	characteristic, complemented
102	#16810695	C₂²	1	1	yes	characteristic, complemented
103	#16810694	C₂²	1	1	yes	characteristic, complemented
104	#16810693	C₂²	1	1	yes	characteristic, complemented
105	#16810693	C₂²	1	1	yes	characteristic, complemented
106	#16810693	C₂²	1	1	yes	characteristic, complemented
107	#16810693	C₂²	1	1	yes	characteristic, complemented
108	#16810692	C₂²	1	1	yes	characteristic, complemented
109	#16810692	C₂²	1	1	yes	characteristic, complemented
110	#16810692	C₂²	1	1	yes	characteristic, complemented
111	#16810691	C₂²	1	1	yes	characteristic, complemented
112	#16810691	C₂²	1	1	yes	characteristic, complemented
113	#16810691	C₂²	1	1	yes	characteristic, complemented
114	C₈×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
115	D₄×#88322	C₂²	1	1	yes	characteristic, complemented
116	D₄×#88322	C₂²	1	1	yes	characteristic, complemented
117	#16810688	C₂²	1	1	yes	characteristic, complemented
118	C₈×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
119	C₈×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
120	C₈×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
121	#16810686	C₂²	1	1	yes	characteristic, complemented
122	#16810686	C₂²	1	1	yes	characteristic, complemented
123	#16810686	C₂²	1	1	yes	characteristic, complemented
124	#16810686	C₂²	1	1	yes	characteristic, complemented
125	#16810686	C₂²	1	1	yes	characteristic, complemented
126	#16810685	C₂²	1	1	yes	characteristic, complemented
127	#16810684	C₂²	1	1	yes	characteristic, complemented
128	#16810684	C₂²	1	1	yes	characteristic, complemented
129	#16810683	C₂²	1	1	yes	characteristic, complemented
130	#16810683	C₂²	1	1	yes	characteristic, complemented
131	#16810682	C₂²	1	1	yes	characteristic, complemented
132	#16810678	C₂²	1	1	yes	characteristic, complemented
133	#16810677	C₂²	1	1	yes	characteristic, complemented
134	#16810675	C₂²	1	1	yes	characteristic, complemented
135	#16810675	C₂²	1	1	yes	characteristic, complemented
136	#16810674	C₂²	1	1	yes	characteristic, complemented
137	#16810673	C₂²	1	1	yes	characteristic, complemented
138	#16810673	C₂²	1	1	yes	characteristic, complemented
139	#16810673	C₂²	1	1	yes	characteristic, complemented
140	#16810648	C₂²	1	1	yes	characteristic, complemented
141	#16810648	C₂²	1	1	yes	characteristic, complemented
142	#16810645	C₂²	1	1	yes	characteristic, complemented
143	C₄⋊C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
144	#16810591	C₂²	1	1	yes	characteristic, complemented
145	#16810591	C₂²	1	1	yes	characteristic, complemented
146	#16810591	C₂²	1	1	yes	characteristic, complemented
147	#16810590	C₂²	1	1	yes	characteristic, complemented
148	#16810590	C₂²	1	1	yes	characteristic, complemented
149	#16810589	C₂²	1	1	yes	characteristic, complemented
150	#16810588	C₂²	1	1	yes	characteristic
151	#16810588	C₂²	1	1	yes	characteristic
152	#16810588	C₂²	1	1	yes	characteristic
153	#16810588	C₂²	1	1	yes	characteristic
154	#16810588	C₂²	1	1	yes	characteristic, complemented
155	#16810588	C₂²	1	1	yes	characteristic, complemented
156	#16810588	C₂²	1	1	yes	characteristic, complemented
157	#16810588	C₂²	1	1	yes	characteristic, complemented
158	#16810588	C₂²	1	1	yes	characteristic, complemented
159	#16810588	C₂²	1	1	yes	characteristic, complemented
160	#16810588	C₂²	1	1	yes	characteristic, complemented
161	#16810588	C₂²	1	1	yes	characteristic, complemented
162	#16810588	C₂²	1	1	yes	characteristic, complemented
163	#16810588	C₂²	1	1	yes	characteristic, complemented
164	#16810588	C₂²	1	1	yes	characteristic, complemented
165	#16810588	C₂²	1	1	yes	characteristic, complemented
166	#16810587	C₂²	1	1	yes	characteristic, complemented
167	#16810586	C₂²	1	1	yes	characteristic, complemented
168	#16810586	C₂²	1	1	yes	characteristic, complemented
169	#16810586	C₂²	1	1	yes	characteristic, complemented
170	#16810585	C₂²	1	1	yes	characteristic, complemented
171	#16810585	C₂²	1	1	yes	characteristic, complemented
172	#16810585	C₂²	1	1	yes	characteristic, complemented
173	#16810585	C₂²	1	1	yes	characteristic, complemented
174	#16810585	C₂²	1	1	yes	characteristic, complemented
175	#16810585	C₂²	1	1	yes	characteristic, complemented
176	#16810585	C₂²	1	1	yes	characteristic, complemented
177	#16810585	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₂²⋊#88322	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13133129	C₂²	1	1	yes	characteristic, complemented
180	C₂²⋊C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
181	C₂²⋊C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₂²⋊C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₂²⋊C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
184	#16810580	C₂²	1	1	yes	characteristic, complemented
185	#16810577	C₂²	1	1	yes	characteristic, complemented
186	#16810575	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
188	C₅₃×#525	C₂²	1	1	yes	characteristic
189	C₅₃×#436	C₂²	1	1	yes	characteristic, complemented
190	C₅₃×#436	C₂²	1	1	yes	characteristic, complemented
191	C₅₃×#436	C₂²	1	1	yes	characteristic, complemented
192	C₅₃×#436	C₂²	1	1	yes	characteristic, complemented
193	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
195	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
196	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#433	C₂²	1	1	yes	characteristic, complemented
198	C₅₃×#433	C₂²	1	1	yes	characteristic, complemented
199	C₅₃×#408	C₂²	1	1	yes	characteristic, complemented
200	C₅₃×#408	C₂²	1	1	yes	characteristic, complemented
201	C₅₃×#407	C₂²	1	1	yes	characteristic, complemented
202	C₅₃×#407	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11719949	C₂×C₄	1	1	yes	characteristic
204	C₂×#11719945	—	4	2	no	—
205	C₂×#11719945	—	4	2	no	—
206	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
207	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
208	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
209	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
210	C₂×#11719945	C₂³	1	1	yes	characteristic
211	C₂×#11719945	C₂³	1	1	yes	characteristic
212	C₂×#11719945	C₂³	1	1	yes	characteristic
213	C₂×#11719945	C₂³	1	1	yes	characteristic
214	C₂×#11719945	C₂³	1	1	yes	characteristic
215	C₂×#11719945	C₂³	1	1	yes	characteristic
216	C₂×#11719947	C₂×C₄	1	1	yes	characteristic
217	C₂×#11719947	C₂×C₄	1	1	yes	characteristic
218	C₂×#11719947	C₂×C₄	1	1	yes	characteristic
219	#41×D₅₃	—	4	2	no	—
220	#41×D₅₃	—	4	2	no	—
221	C₂²×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
222	C₂×Q₈×D₅₃	C₂×C₄	1	1	yes	characteristic
223	C₂²×D₂₁₂	C₂×C₄	1	1	yes	characteristic
224	C₂²×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
225	C₂²×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
226	C₂²×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
227	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
228	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
229	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
230	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
231	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
232	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
237	#13133225	—	4	2	no	—
238	#13133225	—	4	2	no	—
239	#13133225	—	4	2	no	—
240	#13133223	—	4	2	no	—
241	C₂×#11719917	C₂³	1	1	yes	characteristic
242	C₂×#11719917	C₂³	1	1	yes	characteristic
243	C₂×#11719917	C₂³	1	1	yes	characteristic
244	C₂×#11719917	C₂³	1	1	yes	characteristic
245	C₂×#11719912	—	4	2	no	—
246	C₂×#11719912	C₂³	1	1	yes	characteristic
247	C₂×#11719912	C₂³	1	1	yes	characteristic
248	C₂×#11719912	C₂³	1	1	yes	characteristic
249	C₂×#11719912	C₂³	1	1	yes	characteristic
250	C₂×#11719912	C₂³	1	1	yes	characteristic
251	C₂×#11719912	C₂³	1	1	yes	characteristic
252	C₂×#11719912	C₂³	1	1	yes	characteristic
253	C₂×#11719912	C₂³	1	1	yes	characteristic
254	C₂×#11719912	C₂³	1	1	yes	characteristic
255	C₂×#11719912	C₂³	1	1	yes	characteristic
256	C₂×#11719912	C₂³	1	1	yes	characteristic
257	C₂×#11719912	C₂³	1	1	yes	characteristic
258	C₂×#11719912	C₂³	1	1	yes	characteristic
259	C₂×#11719912	C₂³	1	1	yes	characteristic
260	M₁₆×D₅₃	—	4	2	no	—
261	M₁₆×D₅₃	—	4	2	no	—
262	M₁₆×D₅₃	—	4	2	no	—
263	C₂²×#88322	C₂³	1	1	yes	characteristic
264	C₂²×#88322	C₂³	1	1	yes	characteristic
265	C₂²×#88322	C₂³	1	1	yes	characteristic
266	C₂²×#88322	C₂³	1	1	yes	characteristic
267	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
268	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
269	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
270	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
271	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
272	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
277	#13133216	C₂×C₄	1	1	yes	characteristic
278	#13133216	C₂×C₄	1	1	yes	characteristic
279	#13133215	C₂×C₄	1	1	yes	characteristic
280	#13133213	C₂×C₄	1	1	yes	characteristic
281	#13133213	C₂×C₄	1	1	yes	characteristic
282	#13133213	C₂×C₄	1	1	yes	characteristic
283	#13133206	C₂×C₄	1	1	yes	characteristic
284	#13133204	C₂×C₄	1	1	yes	characteristic
285	#13133203	C₂×C₄	1	1	yes	characteristic
286	#13133203	C₂×C₄	1	1	yes	characteristic
287	#13133203	C₂×C₄	1	1	yes	characteristic
288	#13133203	C₂×C₄	1	1	yes	characteristic
289	#13133202	C₂×C₄	1	1	yes	characteristic
290	#13133202	C₂×C₄	1	1	yes	characteristic
291	#13133202	C₂×C₄	1	1	yes	characteristic
292	#13133202	C₂×C₄	1	1	yes	characteristic
293	#13133201	C₂×C₄	1	1	yes	characteristic
294	#13133201	C₂×C₄	1	1	yes	characteristic
295	#13133199	C₂×C₄	1	1	yes	characteristic
296	#13133199	C₂×C₄	1	1	yes	characteristic
297	#13133199	C₂×C₄	1	1	yes	characteristic
298	#13133199	C₂×C₄	1	1	yes	characteristic
299	#13133197	C₂×C₄	1	1	yes	characteristic
300	#13133197	C₂×C₄	1	1	yes	characteristic
301	#13133195	C₂×C₄	1	1	yes	characteristic
302	#13133195	C₂×C₄	1	1	yes	characteristic
303	#13133195	C₂×C₄	1	1	yes	characteristic
304	#13133195	C₂×C₄	1	1	yes	characteristic
305	#13133194	C₂×C₄	1	1	yes	characteristic
306	#13133194	C₂×C₄	1	1	yes	characteristic
307	#13133194	C₂×C₄	1	1	yes	characteristic
308	#13133194	C₂×C₄	1	1	yes	characteristic
309	#13133192	C₂×C₄	1	1	yes	characteristic
310	#13133192	C₂×C₄	1	1	yes	characteristic
311	#13133192	C₂×C₄	1	1	yes	characteristic
312	#13133192	C₂×C₄	1	1	yes	characteristic
313	#13133190	C₂×C₄	1	1	yes	characteristic
314	#13133190	C₂×C₄	1	1	yes	characteristic
315	#13133190	C₂×C₄	1	1	yes	characteristic
316	#13133190	C₂×C₄	1	1	yes	characteristic
317	#13133190	C₂×C₄	1	1	yes	characteristic
318	#13133190	C₂×C₄	1	1	yes	characteristic
319	#13133190	C₂×C₄	1	1	yes	characteristic
320	#13133190	C₂×C₄	1	1	yes	characteristic
321	#13133189	C₂×C₄	1	1	yes	characteristic
322	#13133189	C₂×C₄	1	1	yes	characteristic
323	#13133189	C₂×C₄	1	1	yes	characteristic
324	#13133189	C₂×C₄	1	1	yes	characteristic
325	#13133189	C₂×C₄	1	1	yes	characteristic
326	#13133189	C₂×C₄	1	1	yes	characteristic
327	#13133189	C₂×C₄	1	1	yes	characteristic
328	#13133189	C₂×C₄	1	1	yes	characteristic
329	#13133188	C₂×C₄	1	1	yes	characteristic
330	#13133188	C₂×C₄	1	1	yes	characteristic
331	#13133187	C₂×C₄	1	1	yes	characteristic
332	#13133187	C₂×C₄	1	1	yes	characteristic
333	#13133187	C₂×C₄	1	1	yes	characteristic
334	#13133187	C₂×C₄	1	1	yes	characteristic
335	#13133187	C₂×C₄	1	1	yes	characteristic
336	#13133187	C₂×C₄	1	1	yes	characteristic
337	#13133185	C₂×C₄	1	1	yes	characteristic
338	#13133185	C₂×C₄	1	1	yes	characteristic
339	#13133185	C₂×C₄	1	1	yes	characteristic
340	#13133185	C₂×C₄	1	1	yes	characteristic
341	#13133182	C₂×C₄	1	1	yes	characteristic
342	#13133182	C₂×C₄	1	1	yes	characteristic
343	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
344	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
345	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
346	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
347	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
348	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
349	#13133179	C₂×C₄	1	1	yes	characteristic
350	#13133179	C₂×C₄	1	1	yes	characteristic
351	#13133179	C₂×C₄	1	1	yes	characteristic
352	#13133179	C₂×C₄	1	1	yes	characteristic
353	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
354	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
355	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
356	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
357	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
358	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
359	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
360	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
361	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
362	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
363	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
364	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
365	#13133177	C₂×C₄	1	1	yes	characteristic
366	#13133177	C₂×C₄	1	1	yes	characteristic
367	#13133177	C₂×C₄	1	1	yes	characteristic
368	#13133177	C₂×C₄	1	1	yes	characteristic
369	#13133177	C₂×C₄	1	1	yes	characteristic
370	#13133177	C₂×C₄	1	1	yes	characteristic
371	#13133177	C₂×C₄	1	1	yes	characteristic
372	#13133177	C₂×C₄	1	1	yes	characteristic
373	#13133174	C₂³	1	1	yes	characteristic
374	#13133174	C₂³	1	1	yes	characteristic
375	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
376	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
377	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
378	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic
379	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
380	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
381	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
382	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
383	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
384	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
385	C₄²×D₅₃	C₂³	1	1	yes	characteristic
386	C₄²×D₅₃	C₂³	1	1	yes	characteristic
387	C₄⋊#88322	C₂³	1	1	yes	characteristic
388	C₄⋊#88322	C₂³	1	1	yes	characteristic
389	C₄⋊#88322	C₂³	1	1	yes	characteristic
390	C₄⋊#88322	C₂³	1	1	yes	characteristic
391	#13133146	C₂³	1	1	yes	characteristic
392	#13133146	C₂³	1	1	yes	characteristic
393	#13133146	C₂³	1	1	yes	characteristic
394	#13133146	C₂³	1	1	yes	characteristic
395	#13133146	C₂³	1	1	yes	characteristic
396	#13133146	C₂³	1	1	yes	characteristic
397	#13133146	C₂³	1	1	yes	characteristic
398	#13133146	C₂³	1	1	yes	characteristic
399	C₂²⋊#88322	C₂³	1	1	yes	characteristic
400	C₂²⋊#88322	C₂³	1	1	yes	characteristic
401	C₂²⋊#88322	C₂³	1	1	yes	characteristic
402	C₂²⋊#88322	C₂³	1	1	yes	characteristic
403	C₂²⋊#88322	C₂³	1	1	yes	characteristic
404	C₂²⋊#88322	C₂³	1	1	yes	characteristic
405	C₂²⋊#88322	C₂³	1	1	yes	characteristic
406	C₂²⋊#88322	C₂³	1	1	yes	characteristic
407	C₂²⋊#88322	C₂³	1	1	yes	characteristic
408	C₂²⋊#88322	C₂³	1	1	yes	characteristic
409	C₂²⋊#88322	C₂³	1	1	yes	characteristic
410	C₂²⋊#88322	C₂³	1	1	yes	characteristic
411	#13133129	C₂³	1	1	yes	characteristic
412	#13133129	C₂³	1	1	yes	characteristic
413	#13133129	C₂³	1	1	yes	characteristic
414	#13133129	C₂³	1	1	yes	characteristic
415	#13133129	C₂³	1	1	yes	characteristic
416	#13133129	C₂³	1	1	yes	characteristic
417	#13133129	C₂³	1	1	yes	characteristic
418	#13133129	C₂³	1	1	yes	characteristic
419	#13133129	C₂³	1	1	yes	characteristic
420	#13133129	C₂³	1	1	yes	characteristic
421	#13133129	C₂³	1	1	yes	characteristic
422	#13133129	C₂³	1	1	yes	characteristic
423	#13133129	C₂³	1	1	yes	characteristic
424	#13133129	C₂³	1	1	yes	characteristic
425	#13133129	C₂³	1	1	yes	characteristic
426	#13133129	C₂³	1	1	yes	characteristic
427	#13133129	C₂³	1	1	yes	characteristic
428	#13133129	C₂³	1	1	yes	characteristic
429	#13133129	C₂³	1	1	yes	characteristic
430	#13133129	C₂³	1	1	yes	characteristic
431	#13133129	C₂³	1	1	yes	characteristic
432	#13133129	C₂³	1	1	yes	characteristic
433	#13133129	C₂³	1	1	yes	characteristic
434	#13133129	C₂³	1	1	yes	characteristic
435	#13133128	C₂³	1	1	yes	characteristic
436	#13133128	C₂³	1	1	yes	characteristic
437	#13133127	C₂³	1	1	yes	characteristic
438	#13133127	C₂³	1	1	yes	characteristic
439	C₄×#88322	C₂³	1	1	yes	characteristic
440	C₄×#88322	C₂³	1	1	yes	characteristic
441	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
442	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
443	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
444	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
445	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
446	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
447	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
448	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
449	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
450	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
451	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
452	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
453	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
454	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
455	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
456	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
457	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
458	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
459	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
460	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
461	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
462	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
463	#120×C₅₃	C₂×C₄	1	1	yes	characteristic
464	#120×C₅₃	C₂×C₄	1	1	yes	characteristic
465	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
466	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
467	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
468	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
469	#117×C₅₃	C₂³	1	1	yes	characteristic
470	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
471	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
472	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
473	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
478	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
479	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
480	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
481	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
482	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
483	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
484	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
485	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
486	#97×C₅₃	C₂³	1	1	yes	characteristic
487	#97×C₅₃	C₂³	1	1	yes	characteristic
488	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
490	C₂⁴×C₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
493	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
494	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
495	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
496	#41×C₅₃	—	4	1	no	—
497	#41×C₅₃	—	4	1	no	—
498	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
499	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂²×C₄×C₅₃	—	4	1	no	—
507	C₂²×C₄×C₅₃	—	4	1	no	—
508	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
509	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
510	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
511	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
516	C₂×C₂²⋊D₅₃	—	4	2	no	—
517	C₂×C₂²⋊D₅₃	—	4	2	no	—
518	C₂×C₂²⋊D₅₃	—	4	2	no	—
519	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
539	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
540	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
541	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
542	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
543	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
544	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
546	#11719949	—	4	2	no	—
547	Q₈×D₅₃	—	4	2	no	—
548	#11719947	—	4	2	no	—
549	#11719947	—	4	2	no	—
550	#11719947	—	4	2	no	—
551	D₄×D₅₃	—	4	2	no	—
552	D₄×D₅₃	—	4	2	no	—
553	D₄×D₅₃	—	4	2	no	—
554	D₄×D₅₃	—	4	2	no	—
555	D₄×D₅₃	—	4	2	no	—
556	#11719945	—	2	2	no	—
557	#11719945	—	2	2	no	—
558	#11719945	—	2	2	no	—
559	#11719945	—	2	2	no	—
560	#11719945	—	2	2	no	—
561	#11719945	—	2	2	no	—
562	#11719945	—	4	2	no	—
563	#11719945	—	4	2	no	—
564	#11719945	—	4	1	no	—
565	#11719945	—	4	1	no	—
566	#11719945	—	4	1	no	—
567	#11719945	—	4	1	no	—
568	#11719945	—	4	1	no	—
569	#11719945	—	4	1	no	—
570	#11719945	—	4	2	no	—
571	#11719945	—	4	2	no	—
572	C₂×D₂₁₂	—	4	2	no	—
573	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
574	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
575	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
576	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
577	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
578	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
579	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
580	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
581	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
582	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄×D₅₃	—	2	2	no	—
584	C₂×C₄×D₅₃	—	2	2	no	—
585	C₂×C₄×D₅₃	—	2	2	no	—
586	C₂×C₄×D₅₃	—	2	2	no	—
587	C₂×C₄×D₅₃	—	4	1	no	—
588	C₂×C₄×D₅₃	—	4	1	no	—
589	C₂×C₄×D₅₃	—	4	1	no	—
590	C₂×C₄×D₅₃	—	4	1	no	—
591	C₂×C₄×D₅₃	—	4	1	no	—
592	C₂×C₄×D₅₃	—	4	1	no	—
593	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
606	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
613	C₂×Dic₁₀₆	—	4	2	no	—
614	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
615	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
616	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
617	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
618	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
619	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
620	M₁₆×C₅₃	—	4	1	no	—
621	M₁₆×C₅₃	—	4	1	no	—
622	M₁₆×C₅₃	—	4	1	no	—
623	M₁₆×C₅₃	—	4	1	no	—
624	M₁₆×C₅₃	—	4	1	no	—
625	M₁₆×C₅₃	—	4	1	no	—
626	C₂×C₈×C₅₃	—	4	1	no	—
627	C₂×C₈×C₅₃	—	4	1	no	—
628	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
629	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
630	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
631	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
632	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
636	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
637	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
638	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
639	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
640	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
641	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
650	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
651	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
652	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
653	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
654	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
655	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
656	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
657	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
658	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
659	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
660	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
661	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
662	#11719921	C₂²×C₄	1	1	yes	characteristic
663	#11719921	C₂²×C₄	1	1	yes	characteristic
664	#11719921	C₂²×C₄	1	1	yes	characteristic
665	#11719921	C₂²×C₄	1	1	yes	characteristic
666	#11719921	C₂²×C₄	1	1	yes	characteristic
667	#11719921	C₂²×C₄	1	1	yes	characteristic
668	#11719921	C₂²×C₄	1	1	yes	characteristic
669	#11719921	C₂²×C₄	1	1	yes	characteristic
670	#11719921	C₂²×C₄	1	1	yes	characteristic
671	#11719921	C₂²×C₄	1	1	yes	characteristic
672	#11719921	C₂²×C₄	1	1	yes	characteristic
673	#11719921	C₂²×C₄	1	1	yes	characteristic
674	#11719921	C₂²×C₄	1	1	yes	characteristic
675	#11719921	C₂²×C₄	1	1	yes	characteristic
676	#11719921	C₂²×C₄	1	1	yes	characteristic
677	#11719921	C₂²×C₄	1	1	yes	characteristic
678	#11719921	C₂²×C₄	1	1	yes	characteristic
679	#11719921	C₂²×C₄	1	1	yes	characteristic
680	#11719921	C₂²×C₄	1	1	yes	characteristic
681	#11719921	C₂²×C₄	1	1	yes	characteristic
682	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
683	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
684	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
686	#11719919	C₂²×C₄	1	1	yes	characteristic
687	#11719919	C₂²×C₄	1	1	yes	characteristic
688	#11719919	C₂²×C₄	1	1	yes	characteristic
689	#11719919	C₂²×C₄	1	1	yes	characteristic
690	#11719919	C₂²×C₄	1	1	yes	characteristic
691	#11719919	C₂²×C₄	1	1	yes	characteristic
692	#11719919	C₂²×C₄	1	1	yes	characteristic
693	#11719919	C₂²×C₄	1	1	yes	characteristic
694	#11719919	C₂²×C₄	1	1	yes	characteristic
695	#11719919	C₂²×C₄	1	1	yes	characteristic
696	#11719919	C₂²×C₄	1	1	yes	characteristic
697	#11719919	C₂²×C₄	1	1	yes	characteristic
698	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
699	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
700	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
701	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
702	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
703	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
704	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
705	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
706	#11719917	—	4	1	no	—
707	#11719917	—	4	1	no	—
708	#11719917	—	4	1	no	—
709	#11719917	—	4	1	no	—
710	C₂×#88322	—	4	1	no	—
711	C₂×#88322	—	4	1	no	—
712	C₂×#88322	—	4	1	no	—
713	C₂×#88322	—	4	1	no	—
714	C₂×#88322	C₂⁴	1	1	yes	characteristic
715	C₂×#88322	C₂⁴	1	1	yes	characteristic
716	C₂×#88322	C₂⁴	1	1	yes	characteristic
717	C₂×#88322	C₂⁴	1	1	yes	characteristic
718	C₂×#88322	C₂⁴	1	1	yes	characteristic
719	C₂×#88322	C₂⁴	1	1	yes	characteristic
720	C₂×#88322	C₂⁴	1	1	yes	characteristic
721	C₂×#88322	C₂⁴	1	1	yes	characteristic
722	#11719912	—	2	2	no	—
723	#11719912	—	2	2	no	—
724	#11719912	—	2	2	no	—
725	#11719912	—	2	2	no	—
726	#11719912	—	4	1	no	—
727	#11719912	—	4	1	no	—
728	#11719912	—	4	1	no	—
729	#11719912	—	4	1	no	—
730	#11719912	—	4	1	no	—
731	#11719912	—	4	1	no	—
732	#11719912	—	4	1	no	—
733	#11719912	—	4	1	no	—
734	#11719912	—	4	1	no	—
735	#11719912	—	4	1	no	—
736	C₈×D₅₃	—	2	2	no	—
737	C₈×D₅₃	—	2	2	no	—
738	C₈×D₅₃	—	2	2	no	—
739	C₈×D₅₃	—	2	2	no	—
740	C₈×D₅₃	—	4	1	no	—
741	C₈×D₅₃	—	4	1	no	—
742	C₈×D₅₃	—	4	1	no	—
743	C₈×D₅₃	—	4	1	no	—
744	C₈×D₅₃	—	4	1	no	—
745	C₈×D₅₃	—	4	1	no	—
746	C₂³×C₅₃	—	4	1	no	—
747	C₂³×C₅₃	—	4	1	no	—
748	C₂³×C₅₃	—	4	1	no	—
749	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
750	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
751	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
752	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
753	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
754	C₂²×D₅₃	—	2	2	no	—
755	C₂²×D₅₃	—	2	2	no	—
756	C₂²×D₅₃	—	4	1	no	—
757	C₂²×D₅₃	—	4	1	no	—
758	C₂²×D₅₃	—	4	1	no	—
759	C₂²×D₅₃	—	4	1	no	—
760	C₂²×D₅₃	—	4	1	no	—
761	C₂²×D₅₃	—	4	1	no	—
762	C₂²×D₅₃	—	4	1	no	—
763	C₂²×D₅₃	—	4	1	no	—
764	C₂²×D₅₃	—	4	1	no	—
765	C₂²×D₅₃	—	4	1	no	—
766	C₂²×D₅₃	—	4	1	no	—
767	C₂²×D₅₃	—	4	1	no	—
768	C₂²×D₅₃	—	4	1	no	—
769	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
770	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
771	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
772	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
773	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
774	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
775	Q₈×C₅₃	—	4	1	no	—
776	D₄×C₅₃	—	4	1	no	—
777	D₄×C₅₃	—	4	1	no	—
778	D₄×C₅₃	—	4	1	no	—
779	D₄×C₅₃	—	4	1	no	—
780	D₄×C₅₃	—	4	1	no	—
781	D₄×C₅₃	—	4	1	no	—
782	D₄×C₅₃	—	4	1	no	—
783	C₂×C₄×C₅₃	—	2	1	no	—
784	C₂×C₄×C₅₃	—	2	1	no	—
785	C₂×C₄×C₅₃	—	2	1	no	—
786	C₂×C₄×C₅₃	—	2	1	no	—
787	C₂×C₄×C₅₃	—	2	1	no	—
788	C₂×C₄×C₅₃	—	2	1	no	—
789	C₂×C₄×C₅₃	—	2	1	no	—
790	C₂×C₄×C₅₃	—	2	1	no	—
791	C₂×C₄×C₅₃	—	2	1	no	—
792	C₂×C₄×C₅₃	—	2	1	no	—
793	C₂×C₄×C₅₃	—	4	1	no	—
794	C₂×C₄×C₅₃	—	4	1	no	—
795	C₂×C₄×C₅₃	—	4	1	no	—
796	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
797	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
798	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
799	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
800	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
801	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
802	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
803	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
804	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
805	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
806	C₂²⋊D₅₃	—	2	2	no	—
807	C₂²⋊D₅₃	—	2	2	no	—
808	C₂²⋊D₅₃	—	2	2	no	—
809	C₂²⋊D₅₃	—	2	2	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	2	no	—
815	C₂²⋊D₅₃	—	2	2	no	—
816	C₂²⋊D₅₃	—	4	1	no	—
817	C₂²⋊D₅₃	—	4	1	no	—
818	C₂²⋊D₅₃	—	4	1	no	—
819	C₂²⋊D₅₃	—	4	1	no	—
820	C₂²⋊D₅₃	—	4	1	no	—
821	C₂²⋊D₅₃	—	4	1	no	—
822	C₂²⋊D₅₃	—	4	1	no	—
823	C₂²⋊D₅₃	—	4	1	no	—
824	C₂²⋊D₅₃	—	4	1	no	—
825	C₂²⋊D₅₃	—	4	1	no	—
826	C₂×Dic₅₃	—	2	2	no	—
827	C₂×Dic₅₃	—	2	2	no	—
828	C₂×Dic₅₃	—	2	2	no	—
829	C₂×Dic₅₃	—	4	1	no	—
830	C₂×Dic₅₃	—	4	1	no	—
831	C₂×Dic₅₃	—	4	1	no	—
832	C₂×Dic₅₃	—	4	1	no	—
833	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
834	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
835	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
836	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
837	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
838	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
839	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
840	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
841	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
842	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
843	D₂₁₂	—	2	2	no	—
844	D₂₁₂	—	2	2	no	—
845	D₂₁₂	—	2	2	no	—
846	D₂₁₂	—	4	1	no	—
847	D₂₁₂	—	4	1	no	—
848	D₂₁₂	—	4	1	no	—
849	D₂₁₂	—	4	1	no	—
850	D₂₁₂	—	4	1	no	—
851	D₂₁₂	—	4	1	no	—
852	D₂₁₂	—	4	1	no	—
853	C₄×D₅₃	—	2	2	no	—
854	C₄×D₅₃	—	2	2	no	—
855	C₄×D₅₃	—	2	1	no	—
856	C₄×D₅₃	—	2	1	no	—
857	C₄×D₅₃	—	2	1	no	—
858	C₄×D₅₃	—	2	1	no	—
859	C₄×D₅₃	—	2	1	no	—
860	C₄×D₅₃	—	2	1	no	—
861	C₄×D₅₃	—	2	1	no	—
862	C₄×D₅₃	—	2	1	no	—
863	C₄×D₅₃	—	2	1	no	—
864	C₄×D₅₃	—	2	1	no	—
865	C₄×D₅₃	—	2	2	no	—
866	C₄×D₅₃	—	2	2	no	—
867	C₄×D₅₃	—	2	2	no	—
868	C₄×D₅₃	—	2	2	no	—
869	C₄×D₅₃	—	4	1	no	—
870	C₄×D₅₃	—	4	1	no	—
871	C₄×D₅₃	—	4	1	no	—
872	C₄×D₅₃	—	4	1	no	—
873	C₄×D₅₃	—	4	1	no	—
874	C₄×D₅₃	—	4	1	no	—
875	C₄×D₅₃	—	4	1	no	—
876	C₄×D₅₃	—	4	1	no	—
877	C₄×D₅₃	H(5,𝔽₂)	1	2	yes	—
878	C₄×D₅₃	H(5,𝔽₂)	1	2	yes	—
879	Dic₁₀₆	—	2	2	no	—
880	Dic₁₀₆	—	2	2	no	—
881	Dic₁₀₆	—	2	2	no	—
882	Dic₁₀₆	—	4	1	no	—
883	Dic₁₀₆	—	4	1	no	—
884	Dic₁₀₆	—	4	1	no	—
885	C₈×C₅₃	—	2	1	no	—
886	C₈×C₅₃	—	2	1	no	—
887	C₈×C₅₃	—	2	1	no	—
888	C₈×C₅₃	—	2	1	no	—
889	C₈×C₅₃	—	2	1	no	—
890	C₈×C₅₃	—	2	1	no	—
891	C₈×C₅₃	—	2	1	no	—
892	C₈×C₅₃	—	2	1	no	—
893	#88322	—	2	1	no	—
894	#88322	—	2	1	no	—
895	#88322	—	2	1	no	—
896	#88322	—	2	1	no	—
897	#88322	—	2	1	no	—
898	#88322	—	2	1	no	—
899	#88322	—	2	1	no	—
900	#88322	—	2	1	no	—
901	#60241	—	53	1	no	maximal, Sylow
902	C₂²×C₅₃	—	2	1	no	—
903	C₂²×C₅₃	—	2	1	no	—
904	C₂²×C₅₃	—	2	1	no	—
905	C₂²×C₅₃	—	2	1	no	—
906	C₂²×C₅₃	—	2	1	no	—
907	C₂²×C₅₃	—	2	1	no	—
908	C₂²×C₅₃	—	2	1	no	—
909	C₂²×C₅₃	—	2	1	no	—
910	C₂²×C₅₃	—	2	1	no	—
911	C₂²×C₅₃	—	2	1	no	—
912	C₂²×C₅₃	—	2	1	no	—
913	C₂²×C₅₃	—	2	1	no	—
914	C₂²×C₅₃	—	2	1	no	—
915	C₂²×C₅₃	—	2	1	no	—
916	C₂²×C₅₃	—	2	1	no	—
917	C₂²×C₅₃	—	8	2	no	—
918	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
919	C₂×D₅₃	—	2	1	no	—
920	C₂×D₅₃	—	2	1	no	—
921	C₂×D₅₃	—	2	1	no	—
922	C₂×D₅₃	—	2	1	no	—
923	C₂×D₅₃	—	2	1	no	—
924	C₂×D₅₃	—	2	1	no	—
925	C₂×D₅₃	—	2	1	no	—
926	C₂×D₅₃	—	2	1	no	—
927	C₂×D₅₃	—	2	1	no	—
928	C₂×D₅₃	—	2	1	no	—
929	C₂×D₅₃	—	2	1	no	—
930	C₂×D₅₃	—	2	1	no	—
931	C₂×D₅₃	—	2	1	no	—
932	C₂×D₅₃	—	2	1	no	—
933	C₂×D₅₃	—	2	1	no	—
934	C₂×D₅₃	—	2	1	no	—
935	C₂×D₅₃	—	2	1	no	—
936	C₂×D₅₃	—	8	2	no	—
937	C₂×D₅₃	—	8	2	no	—
938	C₂×D₅₃	—	8	2	no	—
939	C₂×D₅₃	—	8	2	no	—
940	C₂×D₅₃	—	8	2	no	—
941	C₂×D₅₃	#518	1	2	yes	—
942	C₄×C₅₃	—	2	1	no	—
943	C₄×C₅₃	—	2	1	no	—
944	C₄×C₅₃	—	2	1	no	—
945	C₄×C₅₃	—	2	1	no	—
946	C₄×C₅₃	—	2	1	no	—
947	C₄×C₅₃	—	2	1	no	—
948	C₄×C₅₃	—	2	1	no	—
949	C₄×C₅₃	—	2	1	no	—
950	C₄×C₅₃	—	2	1	no	—
951	C₄×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
952	C₄×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
953	Dic₅₃	—	2	1	no	—
954	Dic₅₃	—	2	1	no	—
955	Dic₅₃	—	2	1	no	—
956	Dic₅₃	—	2	1	no	—
957	Dic₅₃	—	2	1	no	—
958	Dic₅₃	—	2	1	no	—
959	Dic₅₃	—	2	1	no	—
960	Dic₅₃	—	2	1	no	—
961	Dic₅₃	#518	1	2	yes	—
962	Dic₅₃	#568	1	2	yes	—
963	D₄×#41	—	53	1	no	—
964	#2981	—	53	1	no	—
965	#2981	—	53	1	no	—
966	#2979	—	53	1	no	—
967	#2979	—	53	1	no	—
968	#2978	—	53	1	no	—
969	#2978	—	53	1	no	—
970	#2978	—	53	1	no	—
971	#2978	D₅₃	1	1	yes	characteristic, complemented
972	#2976	—	53	1	no	—
973	#2976	—	53	1	no	—
974	#2976	—	53	1	no	—
975	#2976	—	53	1	no	—
976	#2975	—	53	1	no	—
977	#2975	—	53	1	no	—
978	#2974	—	53	1	no	—
979	#2974	—	53	1	no	—
980	#2935	—	53	1	no	—
981	D₄×M₁₆	—	53	1	no	—
982	#2933	—	53	1	no	—
983	#2933	—	53	1	no	—
984	#2931	—	53	1	no	—
985	#2930	—	53	1	no	—
986	#2930	—	53	1	no	—
987	C₂×#436	—	53	1	no	—
988	#2925	—	53	1	no	—
989	#2922	—	53	1	no	—
990	#2880	—	53	1	no	—
991	#2880	—	53	1	no	—
992	#2879	—	53	1	no	—
993	#2879	—	53	1	no	—
994	C₂×C₅₃	—	4	1	no	—
995	C₂×C₅₃	—	4	1	no	—
996	C₂×C₅₃	—	4	1	no	—
997	C₂×C₅₃	—	4	1	no	—
998	C₂×C₅₃	—	4	1	no	—
999	C₂×C₅₃	C₂×#518	1	1	yes	characteristic
1000	C₂×C₅₃	C₂×#568	1	1	yes	characteristic
1001	C₂×C₅₃	#3573	1	1	yes	characteristic
1002	D₅₃	—	2	2	no	—
1003	D₅₃	—	4	1	no	—
1004	D₅₃	—	4	1	no	—
1005	D₅₃	—	4	1	no	—
1006	D₅₃	—	4	1	no	—
1007	D₅₃	—	4	1	no	—
1008	C₂²×#41	—	53	1	no	—
1009	C₂²×#41	—	53	1	no	—
1010	C₂×#131	—	53	1	no	—
1011	C₂×#131	—	53	1	no	—
1012	C₂×#131	—	53	1	no	—
1013	C₂×#131	—	53	1	no	—
1014	C₂²×M₁₆	—	53	1	no	—
1015	C₂²×M₁₆	—	53	1	no	—
1016	C₂²×M₁₆	—	53	1	no	—
1017	C₂²×M₁₆	—	53	1	no	—
1018	#550	—	53	1	no	—
1019	D₄×Q₈	—	53	1	no	—
1020	#548	—	53	1	no	—
1021	#548	—	53	1	no	—
1022	#547	—	53	1	no	—
1023	#547	—	53	1	no	—
1024	#547	—	53	1	no	—
1025	#546	—	53	1	no	—
1026	#546	—	53	1	no	—
1027	#546	—	53	1	no	—
1028	#546	—	53	1	no	—
1029	#546	—	53	1	no	—
1030	#546	—	53	1	no	—
1031	D₄²	—	53	1	no	—
1032	D₄²	—	53	1	no	—
1033	D₄²	—	53	1	no	—
1034	#532	—	53	1	no	—
1035	#532	—	53	1	no	—
1036	#532	—	53	1	no	—
1037	#525	—	53	1	no	—
1038	#525	—	53	1	no	—
1039	#525	—	53	1	no	—
1040	#525	—	53	1	no	—
1041	#525	—	53	1	no	—
1042	#525	C₂×D₅₃	1	1	yes	characteristic
1043	C₄×#41	—	53	1	no	—
1044	C₂×C₄×D₄	—	53	1	no	—
1045	C₂×C₄×D₄	—	53	1	no	—
1046	C₂×C₄×D₄	—	53	1	no	—
1047	#436	—	53	1	no	—
1048	#436	—	53	1	no	—
1049	#436	—	53	1	no	—
1050	#436	—	53	1	no	—
1051	#436	—	53	1	no	—
1052	#436	—	53	1	no	—
1053	#436	—	53	1	no	—
1054	#436	—	53	1	no	—
1055	#436	—	53	1	no	—
1056	#436	—	53	1	no	—
1057	#436	—	53	1	no	—
1058	#436	—	53	1	no	—
1059	#436	—	53	1	no	—
1060	#436	—	53	1	no	—
1061	#436	—	53	1	no	—
1062	#436	—	53	1	no	—
1063	#436	—	53	1	no	—
1064	#436	—	53	1	no	—
1065	#436	—	53	1	no	—
1066	#436	—	53	1	no	—
1067	#436	—	53	1	no	—
1068	#436	—	53	1	no	—
1069	#436	—	53	1	no	—
1070	#436	—	53	1	no	—
1071	#436	C₂×D₅₃	1	1	yes	characteristic, complemented
1072	#436	C₂×D₅₃	1	1	yes	characteristic, complemented
1073	#436	C₂×D₅₃	1	1	yes	characteristic, complemented
1074	#436	C₂×D₅₃	1	1	yes	characteristic, complemented
1075	#435	—	53	1	no	—
1076	#435	—	53	1	no	—
1077	#435	—	53	1	no	—
1078	#435	—	53	1	no	—
1079	#435	—	53	1	no	—
1080	#435	—	53	1	no	—
1081	#435	—	53	1	no	—
1082	#435	—	53	1	no	—
1083	#435	—	53	1	no	—
1084	#435	—	53	1	no	—
1085	#435	—	53	1	no	—
1086	#435	—	53	1	no	—
1087	#435	—	53	1	no	—
1088	#435	—	53	1	no	—
1089	#435	—	53	1	no	—
1090	#435	—	53	1	no	—
1091	#435	—	53	1	no	—
1092	#435	—	53	1	no	—
1093	#435	—	53	1	no	—
1094	#435	—	53	1	no	—
1095	#435	C₂×D₅₃	1	1	yes	characteristic, complemented
1096	#435	C₂×D₅₃	1	1	yes	characteristic, complemented
1097	#435	C₂×D₅₃	1	1	yes	characteristic, complemented
1098	#435	C₂×D₅₃	1	1	yes	characteristic, complemented
1099	C₈×D₄	—	53	1	no	—
1100	C₈×D₄	—	53	1	no	—
1101	C₈×D₄	—	53	1	no	—
1102	C₈×D₄	—	53	1	no	—
1103	C₈×D₄	—	53	1	no	—
1104	C₈×D₄	—	53	1	no	—
1105	C₈×D₄	—	53	1	no	—
1106	C₈×D₄	—	53	1	no	—
1107	C₈×D₄	—	53	1	no	—
1108	C₈×D₄	—	53	1	no	—
1109	C₈×D₄	—	53	1	no	—
1110	C₈×D₄	—	53	1	no	—
1111	#433	—	53	1	no	—
1112	#433	—	53	1	no	—
1113	#433	—	53	1	no	—
1114	#433	—	53	1	no	—
1115	#433	—	53	1	no	—
1116	#433	—	53	1	no	—
1117	#433	C₂×D₅₃	1	1	yes	characteristic, complemented
1118	#433	C₂×D₅₃	1	1	yes	characteristic, complemented
1119	#432	—	53	1	no	—
1120	#432	—	53	1	no	—
1121	#431	—	53	1	no	—
1122	#431	—	53	1	no	—
1123	#431	—	53	1	no	—
1124	#431	—	53	1	no	—
1125	#431	—	53	1	no	—
1126	#431	—	53	1	no	—
1127	#424	—	53	1	no	—
1128	#424	—	53	1	no	—
1129	#423	—	53	1	no	—
1130	C₂×C₄⋊C₈	—	53	1	no	—
1131	#408	—	53	1	no	—
1132	#408	—	53	1	no	—
1133	#408	—	53	1	no	—
1134	#408	—	53	1	no	—
1135	#408	—	53	1	no	—
1136	#408	—	53	1	no	—
1137	#408	—	53	1	no	—
1138	#408	—	53	1	no	—
1139	#408	—	53	1	no	—
1140	#408	—	53	1	no	—
1141	#408	—	53	1	no	—
1142	#408	—	53	1	no	—
1143	#408	—	53	1	no	—
1144	#408	—	53	1	no	—
1145	#408	—	53	1	no	—
1146	#408	—	53	1	no	—
1147	#408	—	53	1	no	—
1148	#408	—	53	1	no	—
1149	#408	—	53	1	no	—
1150	#408	—	53	1	no	—
1151	#408	—	53	1	no	—
1152	#408	—	53	1	no	—
1153	#408	C₂×D₅₃	1	1	yes	characteristic, complemented
1154	#408	C₂×D₅₃	1	1	yes	characteristic, complemented
1155	#407	—	53	1	no	—
1156	#407	—	53	1	no	—
1157	#407	—	53	1	no	—
1158	#407	—	53	1	no	—
1159	#407	—	53	1	no	—
1160	#407	—	53	1	no	—
1161	#407	—	53	1	no	—
1162	#407	—	53	1	no	—
1163	#407	—	53	1	no	—
1164	#407	—	53	1	no	—
1165	#407	—	53	1	no	—
1166	#407	—	53	1	no	—
1167	#407	C₂×D₅₃	1	1	yes	characteristic, complemented
1168	#407	C₂×D₅₃	1	1	yes	characteristic, complemented
1169	C₂×C₂²⋊C₈	—	53	1	no	—
1170	C₂×C₂²⋊C₈	—	53	1	no	—
1171	C₂×C₂²⋊C₈	—	53	1	no	—
1172	C₂×C₂²⋊C₈	—	53	1	no	—
1173	C₂×C₂²⋊C₈	—	53	1	no	—
1174	C₂×C₂²⋊C₈	—	53	1	no	—
1175	#405	—	53	1	no	—
1176	#405	—	53	1	no	—
1177	C₄×M₁₆	—	53	1	no	—
1178	C₂×C₄×C₈	—	53	1	no	—
1179	C₅₃	#60241	1	1	yes	characteristic, complemented, Sylow
1180	C₂×#41	—	53	1	no	—
1181	C₂×#41	—	53	1	no	—
1182	C₂×#41	—	53	1	no	—
1183	C₂×#41	—	53	1	no	—
1184	C₂×#41	—	53	1	no	—
1185	C₂×#41	—	53	1	no	—
1186	C₂×#41	—	53	1	no	—
1187	C₂×#41	—	53	1	no	—
1188	C₂×#41	—	53	1	no	—
1189	C₂×#41	—	53	1	no	—
1190	C₂×#41	—	53	1	no	—
1191	C₂×#41	—	53	1	no	—
1192	C₂×#41	—	53	1	no	—
1193	C₂×#41	—	53	1	no	—
1194	C₂×#41	—	212	2	no	—
1195	C₂×#41	—	212	2	no	—
1196	C₂×#41	—	212	2	no	—
1197	C₂×#41	—	212	2	no	—
1198	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1199	C₂²×Q₈	—	53	1	no	—
1200	C₂²×Q₈	—	53	1	no	—
1201	C₂²×D₄	—	53	1	no	—
1202	C₂²×D₄	—	53	1	no	—
1203	C₂²×D₄	—	53	1	no	—
1204	C₂²×D₄	—	53	1	no	—
1205	C₂²×D₄	—	53	1	no	—
1206	C₂²×D₄	—	53	1	no	—
1207	C₂²×D₄	—	53	1	no	—
1208	C₂²×D₄	—	53	1	no	—
1209	C₂²×D₄	—	53	1	no	—
1210	C₂³×C₄	—	53	1	no	—
1211	C₂³×C₄	—	53	1	no	—
1212	C₂³×C₄	—	53	1	no	—
1213	C₂³×C₄	—	53	1	no	—
1214	C₂³×C₄	—	53	1	no	—
1215	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1216	#131	—	212	2	no	—
1217	#131	—	212	2	no	—
1218	#131	—	212	2	no	—
1219	#131	—	212	2	no	—
1220	C₂×M₁₆	—	53	1	no	—
1221	C₂×M₁₆	—	53	1	no	—
1222	C₂×M₁₆	—	53	1	no	—
1223	C₂×M₁₆	—	53	1	no	—
1224	C₂×M₁₆	—	53	1	no	—
1225	C₂×M₁₆	—	53	1	no	—
1226	C₂×M₁₆	—	53	1	no	—
1227	C₂×M₁₆	—	53	1	no	—
1228	C₂×M₁₆	—	53	1	no	—
1229	C₂×M₁₆	—	53	1	no	—
1230	C₂×M₁₆	—	53	1	no	—
1231	C₂×M₁₆	—	53	1	no	—
1232	C₂×M₁₆	—	53	1	no	—
1233	C₂×M₁₆	—	53	1	no	—
1234	C₂×M₁₆	—	53	1	no	—
1235	C₂×M₁₆	—	53	1	no	—
1236	C₂×M₁₆	—	53	1	no	—
1237	C₂×M₁₆	—	53	1	no	—
1238	C₂×M₁₆	—	212	2	no	—
1239	C₂×M₁₆	—	212	2	no	—
1240	C₂×M₁₆	—	212	2	no	—
1241	C₂×M₁₆	—	212	2	no	—
1242	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1243	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1244	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1245	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1246	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1247	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1248	C₂²×C₈	—	53	1	no	—
1249	C₂²×C₈	—	53	1	no	—
1250	C₂²×C₈	—	53	1	no	—
1251	C₂²×C₈	—	53	1	no	—
1252	C₂²×C₈	—	53	1	no	—
1253	C₂²×C₈	—	53	1	no	—
1254	C₂²×C₈	—	53	1	no	—
1255	C₂²×C₈	—	53	1	no	—
1256	C₂²×C₈	—	53	1	no	—
1257	C₂²×C₈	—	53	1	no	—
1258	C₂²×C₈	—	53	1	no	—
1259	C₂²×C₈	—	53	1	no	—
1260	C₂²×C₈	—	53	1	no	—
1261	C₂²×C₈	—	53	1	no	—
1262	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic
1263	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic
1264	C₄⋊Q₈	—	53	1	no	—
1265	C₄⋊Q₈	—	53	1	no	—
1266	C₄⋊Q₈	—	53	1	no	—
1267	#127	—	53	1	no	—
1268	#127	—	53	1	no	—
1269	#127	—	53	1	no	—
1270	#124	—	53	1	no	—
1271	#124	—	53	1	no	—
1272	#124	—	53	1	no	—
1273	#124	—	53	1	no	—
1274	#124	—	53	1	no	—
1275	#124	—	53	1	no	—
1276	#123	—	53	1	no	—
1277	#123	—	53	1	no	—
1278	#123	—	53	1	no	—
1279	#123	—	53	1	no	—
1280	#123	—	53	1	no	—
1281	#123	—	53	1	no	—
1282	#123	—	53	1	no	—
1283	#123	—	53	1	no	—
1284	#123	—	53	1	no	—
1285	#123	—	53	1	no	—
1286	#123	C₄×D₅₃	1	1	yes	characteristic
1287	#123	C₄×D₅₃	1	1	yes	characteristic
1288	C₂²⋊Q₈	—	53	1	no	—
1289	C₂²⋊Q₈	—	53	1	no	—
1290	C₂²⋊Q₈	—	53	1	no	—
1291	C₂²⋊Q₈	—	53	1	no	—
1292	C₂²⋊Q₈	—	53	1	no	—
1293	C₂²⋊Q₈	—	53	1	no	—
1294	C₂²⋊Q₈	—	53	1	no	—
1295	C₂²⋊Q₈	—	53	1	no	—
1296	C₂²⋊Q₈	—	53	1	no	—
1297	C₂²⋊Q₈	—	53	1	no	—
1298	C₂²⋊Q₈	C₄×D₅₃	1	1	yes	characteristic
1299	C₂²⋊Q₈	C₄×D₅₃	1	1	yes	characteristic
1300	#121	—	53	1	no	—
1301	#121	—	53	1	no	—
1302	#121	—	53	1	no	—
1303	#121	—	53	1	no	—
1304	#121	—	53	1	no	—
1305	#121	—	53	1	no	—
1306	#121	—	53	1	no	—
1307	#121	—	53	1	no	—
1308	#121	—	53	1	no	—
1309	#121	—	53	1	no	—
1310	#121	—	53	1	no	—
1311	#121	—	53	1	no	—
1312	#121	—	53	1	no	—
1313	#121	—	53	1	no	—
1314	#121	—	53	1	no	—
1315	#121	—	53	1	no	—
1316	#121	—	53	1	no	—
1317	#121	—	53	1	no	—
1318	#121	—	53	1	no	—
1319	#121	—	53	1	no	—
1320	#121	—	53	1	no	—
1321	#121	—	53	1	no	—
1322	#121	C₄×D₅₃	1	1	yes	characteristic
1323	#121	C₄×D₅₃	1	1	yes	characteristic
1324	#120	—	53	1	no	—
1325	#120	—	53	1	no	—
1326	#120	—	53	1	no	—
1327	#120	—	53	1	no	—
1328	#120	—	53	1	no	—
1329	#120	—	53	1	no	—
1330	#120	—	53	1	no	—
1331	#120	—	53	1	no	—
1332	#120	—	53	1	no	—
1333	#120	—	53	1	no	—
1334	#120	C₄×D₅₃	1	1	yes	characteristic
1335	#120	C₄×D₅₃	1	1	yes	characteristic
1336	C₄×Q₈	—	53	1	no	—
1337	C₄×Q₈	—	53	1	no	—
1338	C₄×D₄	—	53	1	no	—
1339	C₄×D₄	—	53	1	no	—
1340	C₄×D₄	—	53	1	no	—
1341	C₄×D₄	—	53	1	no	—
1342	C₄×D₄	—	53	1	no	—
1343	C₄×D₄	—	53	1	no	—
1344	C₄×D₄	—	53	1	no	—
1345	C₄×D₄	—	53	1	no	—
1346	C₄×D₄	—	53	1	no	—
1347	C₄×D₄	—	53	1	no	—
1348	C₄×D₄	—	53	1	no	—
1349	C₄×D₄	—	53	1	no	—
1350	C₄×D₄	—	53	1	no	—
1351	C₄×D₄	—	53	1	no	—
1352	C₄×D₄	—	53	1	no	—
1353	C₄×D₄	—	53	1	no	—
1354	C₄×D₄	—	53	1	no	—
1355	C₄×D₄	—	53	1	no	—
1356	C₄×D₄	—	53	1	no	—
1357	C₄×D₄	—	53	1	no	—
1358	C₄×D₄	—	53	1	no	—
1359	C₄×D₄	—	53	1	no	—
1360	C₄×D₄	—	53	1	no	—
1361	C₄×D₄	—	53	1	no	—
1362	C₄×D₄	—	53	1	no	—
1363	C₄×D₄	—	53	1	no	—
1364	C₄×D₄	—	53	1	no	—
1365	C₄×D₄	—	53	1	no	—
1366	C₄×D₄	—	53	1	no	—
1367	C₄×D₄	—	53	1	no	—
1368	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1369	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1370	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1371	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1372	#117	—	53	1	no	—
1373	#117	—	53	1	no	—
1374	#117	C₂²×D₅₃	1	1	yes	characteristic
1375	C₂×C₄⋊C₄	—	53	1	no	—
1376	C₂×C₄⋊C₄	—	53	1	no	—
1377	C₂×C₄⋊C₄	—	53	1	no	—
1378	C₂×C₂²⋊C₄	—	53	1	no	—
1379	C₂×C₂²⋊C₄	—	53	1	no	—
1380	C₂×C₂²⋊C₄	—	53	1	no	—
1381	C₂×C₂²⋊C₄	—	53	1	no	—
1382	C₂×C₂²⋊C₄	—	53	1	no	—
1383	C₂×C₂²⋊C₄	—	53	1	no	—
1384	C₂×C₄²	—	53	1	no	—
1385	C₂×C₄²	—	53	1	no	—
1386	C₂×C₄²	—	53	1	no	—
1387	C₄⋊C₈	—	53	1	no	—
1388	C₄⋊C₈	—	53	1	no	—
1389	C₄⋊C₈	—	53	1	no	—
1390	C₄⋊C₈	—	53	1	no	—
1391	C₄⋊C₈	—	53	1	no	—
1392	C₄⋊C₈	—	53	1	no	—
1393	C₄⋊C₈	—	53	1	no	—
1394	C₄⋊C₈	—	53	1	no	—
1395	C₄⋊C₈	—	53	1	no	—
1396	C₄⋊C₈	—	53	1	no	—
1397	C₄⋊C₈	—	53	1	no	—
1398	C₄⋊C₈	—	53	1	no	—
1399	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1400	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1401	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1402	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1403	C₂²⋊C₈	—	53	1	no	—
1404	C₂²⋊C₈	—	53	1	no	—
1405	C₂²⋊C₈	—	53	1	no	—
1406	C₂²⋊C₈	—	53	1	no	—
1407	C₂²⋊C₈	—	53	1	no	—
1408	C₂²⋊C₈	—	53	1	no	—
1409	C₂²⋊C₈	—	53	1	no	—
1410	C₂²⋊C₈	—	53	1	no	—
1411	C₂²⋊C₈	—	53	1	no	—
1412	C₂²⋊C₈	—	53	1	no	—
1413	C₂²⋊C₈	—	53	1	no	—
1414	C₂²⋊C₈	—	53	1	no	—
1415	C₂²⋊C₈	—	53	1	no	—
1416	C₂²⋊C₈	—	53	1	no	—
1417	C₂²⋊C₈	—	53	1	no	—
1418	C₂²⋊C₈	—	53	1	no	—
1419	C₂²⋊C₈	—	53	1	no	—
1420	C₂²⋊C₈	—	53	1	no	—
1421	C₂²⋊C₈	—	53	1	no	—
1422	C₂²⋊C₈	—	53	1	no	—
1423	C₂²⋊C₈	—	53	1	no	—
1424	C₂²⋊C₈	—	53	1	no	—
1425	C₂²⋊C₈	—	53	1	no	—
1426	C₂²⋊C₈	—	53	1	no	—
1427	C₂²⋊C₈	—	53	1	no	—
1428	C₂²⋊C₈	—	53	1	no	—
1429	C₂²⋊C₈	—	53	1	no	—
1430	C₂²⋊C₈	—	53	1	no	—
1431	C₂²⋊C₈	—	53	1	no	—
1432	C₂²⋊C₈	—	53	1	no	—
1433	C₂²⋊C₈	—	53	1	no	—
1434	C₂²⋊C₈	—	53	1	no	—
1435	C₂²⋊C₈	—	53	1	no	—
1436	C₂²⋊C₈	—	53	1	no	—
1437	C₂²⋊C₈	—	53	1	no	—
1438	C₂²⋊C₈	—	53	1	no	—
1439	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1440	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1441	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1442	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1443	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1444	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1445	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1446	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1447	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1448	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1449	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1450	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1451	#97	—	53	1	no	—
1452	#97	—	53	1	no	—
1453	#97	—	53	1	no	—
1454	#97	—	53	1	no	—
1455	#97	C₂²×D₅₃	1	1	yes	characteristic
1456	#97	C₂²×D₅₃	1	1	yes	characteristic
1457	C₄×C₈	—	53	1	no	—
1458	C₄×C₈	—	53	1	no	—
1459	C₄×C₈	—	53	1	no	—
1460	C₄×C₈	—	53	1	no	—
1461	C₄×C₈	—	53	1	no	—
1462	C₄×C₈	—	53	1	no	—
1463	C₄×C₈	—	53	1	no	—
1464	C₄×C₈	—	53	1	no	—
1465	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
1466	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
1467	C₂⁴	—	53	1	no	—
1468	C₂⁴	—	53	1	no	—
1469	C₂⁴	—	53	1	no	—
1470	C₂⁴	—	53	1	no	—
1471	C₂⁴	—	53	1	no	—
1472	C₂⁴	C₂×C₄×D₅₃	1	1	yes	characteristic
1473	#41	—	4	1	no	—
1474	#41	—	4	1	no	—
1475	#41	—	106	2	no	—
1476	#41	—	106	2	no	—
1477	#41	—	106	2	no	—
1478	#41	—	106	2	no	—
1479	#41	—	106	2	no	—
1480	#41	—	106	2	no	—
1481	#41	—	212	1	no	—
1482	#41	—	212	1	no	—
1483	#41	—	212	1	no	—
1484	#41	—	212	1	no	—
1485	#41	—	212	1	no	—
1486	#41	—	212	1	no	—
1487	#41	—	212	2	no	—
1488	#41	—	212	2	no	—
1489	#41	—	212	2	no	—
1490	#41	—	212	2	no	—
1491	#41	—	212	2	no	—
1492	#41	—	212	2	no	—
1493	#41	—	212	2	no	—
1494	#41	—	212	2	no	—
1495	C₂×Q₈	—	53	1	no	—
1496	C₂×Q₈	—	53	1	no	—
1497	C₂×Q₈	—	53	1	no	—
1498	C₂×Q₈	—	53	1	no	—
1499	C₂×Q₈	—	53	1	no	—
1500	C₂×Q₈	—	53	1	no	—
1501	C₂×Q₈	—	212	2	no	—
1502	C₂×Q₈	—	212	2	no	—
1503	C₂×Q₈	C₂×C₄×D₅₃	1	1	yes	characteristic
1504	C₂×D₄	—	53	1	no	—
1505	C₂×D₄	—	53	1	no	—
1506	C₂×D₄	—	53	1	no	—
1507	C₂×D₄	—	53	1	no	—
1508	C₂×D₄	—	53	1	no	—
1509	C₂×D₄	—	53	1	no	—
1510	C₂×D₄	—	53	1	no	—
1511	C₂×D₄	—	53	1	no	—
1512	C₂×D₄	—	53	1	no	—
1513	C₂×D₄	—	53	1	no	—
1514	C₂×D₄	—	53	1	no	—
1515	C₂×D₄	—	53	1	no	—
1516	C₂×D₄	—	53	1	no	—
1517	C₂×D₄	—	53	1	no	—
1518	C₂×D₄	—	53	1	no	—
1519	C₂×D₄	—	53	1	no	—
1520	C₂×D₄	—	53	1	no	—
1521	C₂×D₄	—	53	1	no	—
1522	C₂×D₄	—	53	1	no	—
1523	C₂×D₄	—	53	1	no	—
1524	C₂×D₄	—	53	1	no	—
1525	C₂×D₄	—	53	1	no	—
1526	C₂×D₄	—	53	1	no	—
1527	C₂×D₄	—	53	1	no	—
1528	C₂×D₄	—	53	1	no	—
1529	C₂×D₄	—	53	1	no	—
1530	C₂×D₄	—	53	1	no	—
1531	C₂×D₄	—	53	1	no	—
1532	C₂×D₄	—	53	1	no	—
1533	C₂×D₄	—	53	1	no	—
1534	C₂×D₄	—	212	2	no	—
1535	C₂×D₄	—	212	2	no	—
1536	C₂×D₄	—	212	2	no	—
1537	C₂×D₄	—	212	2	no	—
1538	C₂×D₄	—	212	2	no	—
1539	C₂×D₄	—	212	2	no	—
1540	C₂×D₄	—	212	2	no	—
1541	C₂×D₄	—	212	2	no	—
1542	C₂×D₄	—	212	2	no	—
1543	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1544	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1545	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1546	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1547	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1548	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1549	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1550	C₂²×C₄	—	4	1	no	—
1551	C₂²×C₄	—	4	1	no	—
1552	C₂²×C₄	—	53	1	no	—
1553	C₂²×C₄	—	53	1	no	—
1554	C₂²×C₄	—	53	1	no	—
1555	C₂²×C₄	—	53	1	no	—
1556	C₂²×C₄	—	53	1	no	—
1557	C₂²×C₄	—	53	1	no	—
1558	C₂²×C₄	—	53	1	no	—
1559	C₂²×C₄	—	53	1	no	—
1560	C₂²×C₄	—	53	1	no	—
1561	C₂²×C₄	—	53	1	no	—
1562	C₂²×C₄	—	53	1	no	—
1563	C₂²×C₄	—	53	1	no	—
1564	C₂²×C₄	—	53	1	no	—
1565	C₂²×C₄	—	53	1	no	—
1566	C₂²×C₄	—	53	1	no	—
1567	C₂²×C₄	—	53	1	no	—
1568	C₂²×C₄	—	53	1	no	—
1569	C₂²×C₄	—	53	1	no	—
1570	C₂²×C₄	—	53	1	no	—
1571	C₂²×C₄	—	53	1	no	—
1572	C₂²×C₄	—	53	1	no	—
1573	C₂²×C₄	—	53	1	no	—
1574	C₂²×C₄	—	53	1	no	—
1575	C₂²×C₄	—	53	1	no	—
1576	C₂²×C₄	—	53	1	no	—
1577	C₂²×C₄	—	53	1	no	—
1578	C₂²×C₄	—	53	1	no	—
1579	C₂²×C₄	—	106	2	no	—
1580	C₂²×C₄	—	106	2	no	—
1581	C₂²×C₄	—	106	2	no	—
1582	C₂²×C₄	—	106	2	no	—
1583	C₂²×C₄	—	212	1	no	—
1584	C₂²×C₄	—	212	1	no	—
1585	C₂²×C₄	—	212	1	no	—
1586	C₂²×C₄	—	212	1	no	—
1587	C₂²×C₄	—	212	1	no	—
1588	C₂²×C₄	—	212	1	no	—
1589	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1590	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1591	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1592	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1593	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1594	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1595	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1596	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1597	M₁₆	—	4	1	no	—
1598	M₁₆	—	4	1	no	—
1599	M₁₆	—	4	1	no	—
1600	M₁₆	—	4	1	no	—
1601	M₁₆	—	4	1	no	—
1602	M₁₆	—	4	1	no	—
1603	M₁₆	—	106	2	no	—
1604	M₁₆	—	106	2	no	—
1605	M₁₆	—	106	2	no	—
1606	M₁₆	—	106	2	no	—
1607	M₁₆	—	212	1	no	—
1608	M₁₆	—	212	1	no	—
1609	M₁₆	—	212	1	no	—
1610	M₁₆	—	212	1	no	—
1611	M₁₆	—	212	1	no	—
1612	M₁₆	—	212	1	no	—
1613	M₁₆	—	212	1	no	—
1614	M₁₆	—	212	1	no	—
1615	M₁₆	—	212	1	no	—
1616	M₁₆	—	212	1	no	—
1617	M₁₆	—	212	1	no	—
1618	M₁₆	—	212	1	no	—
1619	M₁₆	—	212	1	no	—
1620	M₁₆	—	212	1	no	—
1621	C₂×C₈	—	4	1	no	—
1622	C₂×C₈	—	4	1	no	—
1623	C₂×C₈	—	53	1	no	—
1624	C₂×C₈	—	53	1	no	—
1625	C₂×C₈	—	53	1	no	—
1626	C₂×C₈	—	53	1	no	—
1627	C₂×C₈	—	53	1	no	—
1628	C₂×C₈	—	53	1	no	—
1629	C₂×C₈	—	53	1	no	—
1630	C₂×C₈	—	53	1	no	—
1631	C₂×C₈	—	106	2	no	—
1632	C₂×C₈	—	106	2	no	—
1633	C₂×C₈	—	106	2	no	—
1634	C₂×C₈	—	106	2	no	—
1635	C₂×C₈	—	212	1	no	—
1636	C₂×C₈	—	212	1	no	—
1637	C₂×C₈	—	212	1	no	—
1638	C₂×C₈	—	212	1	no	—
1639	C₂×C₈	—	212	1	no	—
1640	C₂×C₈	—	212	1	no	—
1641	C₂×C₈	—	212	1	no	—
1642	C₂×C₈	—	212	1	no	—
1643	C₂×C₈	—	212	1	no	—
1644	C₂×C₈	—	212	1	no	—
1645	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1646	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1647	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1648	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1649	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1650	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1651	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1652	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1653	C₄⋊C₄	—	53	1	no	—
1654	C₄⋊C₄	—	53	1	no	—
1655	C₄⋊C₄	—	53	1	no	—
1656	C₄⋊C₄	—	53	1	no	—
1657	C₄⋊C₄	—	53	1	no	—
1658	C₄⋊C₄	—	53	1	no	—
1659	C₄⋊C₄	—	53	1	no	—
1660	C₄⋊C₄	—	53	1	no	—
1661	C₄⋊C₄	—	53	1	no	—
1662	C₄⋊C₄	—	53	1	no	—
1663	C₄⋊C₄	—	53	1	no	—
1664	C₄⋊C₄	—	53	1	no	—
1665	C₄⋊C₄	—	53	1	no	—
1666	C₄⋊C₄	—	53	1	no	—
1667	C₄⋊C₄	—	53	1	no	—
1668	C₄⋊C₄	—	53	1	no	—
1669	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1670	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1671	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1672	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1673	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1674	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1675	C₂²⋊C₄	—	53	1	no	—
1676	C₂²⋊C₄	—	53	1	no	—
1677	C₂²⋊C₄	—	53	1	no	—
1678	C₂²⋊C₄	—	53	1	no	—
1679	C₂²⋊C₄	—	53	1	no	—
1680	C₂²⋊C₄	—	53	1	no	—
1681	C₂²⋊C₄	—	53	1	no	—
1682	C₂²⋊C₄	—	53	1	no	—
1683	C₂²⋊C₄	—	53	1	no	—
1684	C₂²⋊C₄	—	53	1	no	—
1685	C₂²⋊C₄	—	53	1	no	—
1686	C₂²⋊C₄	—	53	1	no	—
1687	C₂²⋊C₄	—	53	1	no	—
1688	C₂²⋊C₄	—	53	1	no	—
1689	C₂²⋊C₄	—	53	1	no	—
1690	C₂²⋊C₄	—	53	1	no	—
1691	C₂²⋊C₄	—	53	1	no	—
1692	C₂²⋊C₄	—	53	1	no	—
1693	C₂²⋊C₄	—	53	1	no	—
1694	C₂²⋊C₄	—	53	1	no	—
1695	C₂²⋊C₄	—	53	1	no	—
1696	C₂²⋊C₄	—	53	1	no	—
1697	C₂²⋊C₄	—	53	1	no	—
1698	C₂²⋊C₄	—	53	1	no	—
1699	C₂²⋊C₄	—	53	1	no	—
1700	C₂²⋊C₄	—	53	1	no	—
1701	C₂²⋊C₄	—	53	1	no	—
1702	C₂²⋊C₄	—	53	1	no	—
1703	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1704	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1705	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1709	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1710	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1711	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1712	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1713	C₄²	—	53	1	no	—
1714	C₄²	—	53	1	no	—
1715	C₄²	—	53	1	no	—
1716	C₄²	—	53	1	no	—
1717	C₄²	—	53	1	no	—
1718	C₄²	—	53	1	no	—
1719	C₄²	—	53	1	no	—
1720	C₄²	—	53	1	no	—
1721	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1722	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1723	C₂³	—	4	1	no	—
1724	C₂³	—	4	1	no	—
1725	C₂³	—	4	1	no	—
1726	C₂³	—	53	1	no	—
1727	C₂³	—	53	1	no	—
1728	C₂³	—	53	1	no	—
1729	C₂³	—	53	1	no	—
1730	C₂³	—	53	1	no	—
1731	C₂³	—	53	1	no	—
1732	C₂³	—	106	2	no	—
1733	C₂³	—	106	2	no	—
1734	C₂³	—	212	1	no	—
1735	C₂³	—	212	1	no	—
1736	C₂³	—	212	1	no	—
1737	C₂³	—	212	1	no	—
1738	C₂³	—	212	1	no	—
1739	C₂³	—	212	1	no	—
1740	C₂³	—	212	1	no	—
1741	C₂³	—	212	1	no	—
1742	C₂³	—	212	1	no	—
1743	C₂³	—	212	1	no	—
1744	C₂³	—	212	1	no	—
1745	C₂³	—	212	1	no	—
1746	C₂³	—	212	1	no	—
1747	C₂³	C₂²×C₄×D₅₃	1	1	yes	characteristic
1748	C₂³	C₂²×C₄×D₅₃	1	1	yes	characteristic
1749	C₂³	C₂²×C₄×D₅₃	1	1	yes	characteristic
1750	C₂³	C₂²×C₄×D₅₃	1	1	yes	characteristic
1751	C₂³	C₂²×C₄×D₅₃	1	1	yes	characteristic
1752	Q₈	—	4	1	no	—
1753	Q₈	—	106	2	no	—
1754	Q₈	—	106	2	no	—
1755	Q₈	—	106	2	no	—
1756	Q₈	—	212	1	no	—
1757	Q₈	—	212	1	no	—
1758	Q₈	—	212	1	no	—
1759	D₄	—	4	1	no	—
1760	D₄	—	4	1	no	—
1761	D₄	—	4	1	no	—
1762	D₄	—	4	1	no	—
1763	D₄	—	4	1	no	—
1764	D₄	—	4	1	no	—
1765	D₄	—	4	1	no	—
1766	D₄	—	106	2	no	—
1767	D₄	—	106	2	no	—
1768	D₄	—	106	2	no	—
1769	D₄	—	106	2	no	—
1770	D₄	—	106	2	no	—
1771	D₄	—	106	2	no	—
1772	D₄	—	106	2	no	—
1773	D₄	—	106	2	no	—
1774	D₄	—	106	2	no	—
1775	D₄	—	106	2	no	—
1776	D₄	—	106	2	no	—
1777	D₄	—	106	2	no	—
1778	D₄	—	106	2	no	—
1779	D₄	—	212	1	no	—
1780	D₄	—	212	1	no	—
1781	D₄	—	212	1	no	—
1782	D₄	—	212	1	no	—
1783	D₄	—	212	1	no	—
1784	D₄	—	212	1	no	—
1785	D₄	—	212	1	no	—
1786	D₄	—	212	1	no	—
1787	D₄	—	212	1	no	—
1788	D₄	—	212	1	no	—
1789	D₄	—	212	1	no	—
1790	D₄	—	212	1	no	—
1791	D₄	—	212	1	no	—
1792	D₄	—	212	1	no	—
1793	D₄	—	212	1	no	—
1794	D₄	—	212	1	no	—
1795	D₄	—	212	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	4	1	no	—
1807	C₂×C₄	—	4	1	no	—
1808	C₂×C₄	—	4	1	no	—
1809	C₂×C₄	—	53	1	no	—
1810	C₂×C₄	—	53	1	no	—
1811	C₂×C₄	—	53	2	no	—
1812	C₂×C₄	—	53	2	no	—
1813	C₂×C₄	—	53	1	no	—
1814	C₂×C₄	—	53	1	no	—
1815	C₂×C₄	—	53	1	no	—
1816	C₂×C₄	—	53	1	no	—
1817	C₂×C₄	—	53	1	no	—
1818	C₂×C₄	—	53	1	no	—
1819	C₂×C₄	—	53	1	no	—
1820	C₂×C₄	—	53	1	no	—
1821	C₂×C₄	—	106	2	no	—
1822	C₂×C₄	—	106	2	no	—
1823	C₂×C₄	—	106	2	no	—
1824	C₂×C₄	—	106	2	no	—
1825	C₂×C₄	—	106	2	no	—
1826	C₂×C₄	—	106	2	no	—
1827	C₂×C₄	—	106	2	no	—
1828	C₂×C₄	—	106	2	no	—
1829	C₂×C₄	—	106	2	no	—
1830	C₂×C₄	—	106	1	no	—
1831	C₂×C₄	—	106	1	no	—
1832	C₂×C₄	—	106	1	no	—
1833	C₂×C₄	—	106	1	no	—
1834	C₂×C₄	—	106	1	no	—
1835	C₂×C₄	—	106	1	no	—
1836	C₂×C₄	—	106	1	no	—
1837	C₂×C₄	—	106	1	no	—
1838	C₂×C₄	—	106	1	no	—
1839	C₂×C₄	—	106	1	no	—
1840	C₂×C₄	—	212	1	no	—
1841	C₂×C₄	—	212	1	no	—
1842	C₂×C₄	—	212	1	no	—
1843	C₂×C₄	—	212	1	no	—
1844	C₂×C₄	—	212	1	no	—
1845	C₂×C₄	—	212	1	no	—
1846	C₂×C₄	—	212	1	no	—
1847	C₂×C₄	—	212	1	no	—
1848	C₂×C₄	—	212	1	no	—
1849	C₂×C₄	—	212	1	no	—
1850	C₂×C₄	—	212	1	no	—
1851	C₂×C₄	—	212	1	no	—
1852	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1853	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1854	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1855	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1856	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1857	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1858	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1859	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1860	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1861	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1862	C₈	—	2	1	no	—
1863	C₈	—	2	1	no	—
1864	C₈	—	2	1	no	—
1865	C₈	—	2	1	no	—
1866	C₈	—	2	1	no	—
1867	C₈	—	2	1	no	—
1868	C₈	—	2	1	no	—
1869	C₈	—	2	1	no	—
1870	C₈	—	106	1	no	—
1871	C₈	—	106	1	no	—
1872	C₈	—	106	1	no	—
1873	C₈	—	106	1	no	—
1874	C₈	—	106	1	no	—
1875	C₈	—	106	1	no	—
1876	C₈	—	106	1	no	—
1877	C₈	—	106	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	2	1	no	—
1883	C₂²	—	2	1	no	—
1884	C₂²	—	2	1	no	—
1885	C₂²	—	2	1	no	—
1886	C₂²	—	2	1	no	—
1887	C₂²	—	2	1	no	—
1888	C₂²	—	2	1	no	—
1889	C₂²	—	2	1	no	—
1890	C₂²	—	2	1	no	—
1891	C₂²	—	2	1	no	—
1892	C₂²	—	2	1	no	—
1893	C₂²	—	8	2	no	—
1894	C₂²	—	53	2	no	—
1895	C₂²	—	106	1	no	—
1896	C₂²	—	106	1	no	—
1897	C₂²	—	106	1	no	—
1898	C₂²	—	106	1	no	—
1899	C₂²	—	106	1	no	—
1900	C₂²	—	106	1	no	—
1901	C₂²	—	106	1	no	—
1902	C₂²	—	106	1	no	—
1903	C₂²	—	106	1	no	—
1904	C₂²	—	106	1	no	—
1905	C₂²	—	106	1	no	—
1906	C₂²	—	106	1	no	—
1907	C₂²	—	106	1	no	—
1908	C₂²	—	106	1	no	—
1909	C₂²	—	106	1	no	—
1910	C₂²	—	106	1	no	—
1911	C₂²	—	106	1	no	—
1912	C₂²	—	424	2	no	—
1913	C₂²	—	424	2	no	—
1914	C₂²	—	424	2	no	—
1915	C₂²	—	424	2	no	—
1916	C₂²	—	424	2	no	—
1917	C₂²	C₂³×C₄×D₅₃	1	1	yes	characteristic
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	1	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	2	1	no	—
1926	C₄	—	2	1	no	—
1927	C₄	—	53	2	no	—
1928	C₄	—	53	2	no	—
1929	C₄	—	106	1	no	—
1930	C₄	—	106	1	no	—
1931	C₄	—	106	1	no	—
1932	C₄	—	106	1	no	—
1933	C₄	—	106	1	no	—
1934	C₄	—	106	1	no	—
1935	C₄	—	106	1	no	—
1936	C₄	—	106	1	no	—
1937	C₄	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1938	C₄	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1939	C₂	—	4	1	no	—
1940	C₂	—	4	1	no	—
1941	C₂	—	4	1	no	—
1942	C₂	—	4	1	no	—
1943	C₂	—	4	1	no	—
1944	C₂	—	106	2	no	—
1945	C₂	—	212	1	no	—
1946	C₂	—	212	1	no	—
1947	C₂	—	212	1	no	—
1948	C₂	—	212	1	no	—
1949	C₂	—	212	1	no	—
1950	C₂	#518×D₅₃	1	1	yes	characteristic
1951	C₂	#568×D₅₃	1	1	yes	characteristic
1952	C₂	#20289428	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₅₃
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#2978	C₂
prime radical	#20288198	C₂
cosocle	C₂×C₄×C₅₃	C₂⁵
hypercenter	#2978	D₅₃
hypocenter	C₅₃	#60241
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #2978

Complements

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

N	H ≅ G/N	type
2. #20283788	C₂	semidirect
3. #20283787	C₂	semidirect
4. #20283780	C₂	semidirect
5. #20283779	C₂	semidirect
6. #20283776	C₂	semidirect
7. #20283772	C₂	semidirect
8. #20283772	C₂	semidirect
9. #20283764	C₂	semidirect
10. #20283763	C₂	semidirect
11. #20283762	C₂	semidirect
12. #20283761	C₂	semidirect
13. #20283754	C₂	semidirect
14. #20283753	C₂	semidirect
15. #20283751	C₂	semidirect
16. #20283745	C₂	semidirect
17. #20283456	C₂	semidirect
18. #20283448	C₂	semidirect
19. #20283444	C₂	semidirect
20. #20283441	C₂	semidirect
21. #20283424	C₂	semidirect
22. #20283415	C₂	semidirect
23. #20283413	C₂	semidirect
24. #436×D₅₃	C₂	semidirect
25. #20283378	C₂	semidirect
26. #20283356	C₂	semidirect
27. #20283165	C₂	semidirect
28. #20283163	C₂	semidirect
29. #20283158	C₂	semidirect
30. #20283157	C₂	semidirect
31. C₅₃×#2978	C₂	semidirect
34. C₂×#13133225	C₂²	semidirect
35. C₂×#13133225	C₂²	semidirect
36. C₂×#13133225	C₂²	semidirect
37. C₂×#13133223	C₂²	semidirect
38. C₂²×#11719912	C₂²	semidirect
39. C₂×M₁₆×D₅₃	C₂²	semidirect
40. C₂×M₁₆×D₅₃	C₂²	semidirect
41. C₂×M₁₆×D₅₃	C₂²	semidirect
70. #16810702	C₂²	semidirect
71. #16810702	C₂²	semidirect
72. #16810702	C₂²	semidirect
73. #16810701	C₂²	semidirect
74. #16810701	C₂²	semidirect
75. #16810700	C₂²	semidirect
76. #16810700	C₂²	semidirect
77. #16810700	C₂²	semidirect
80. #16810699	C₂²	semidirect
81. #16810699	C₂²	semidirect
82. #16810699	C₂²	semidirect
83. #16810699	C₂²	semidirect
84. #16810699	C₂²	semidirect
85. #16810699	C₂²	semidirect
86. #16810699	C₂²	semidirect
89. #16810698	C₂²	semidirect
90. #16810698	C₂²	semidirect
91. #16810698	C₂²	semidirect
92. #16810698	C₂²	semidirect
93. #16810698	C₂²	semidirect
94. #16810697	C₂²	semidirect
95. #16810696	C₂²	semidirect
96. #16810696	C₂²	semidirect
97. #16810696	C₂²	semidirect
98. #16810696	C₂²	semidirect
99. #16810695	C₂²	semidirect
100. #16810695	C₂²	semidirect
101. #16810695	C₂²	semidirect
102. #16810695	C₂²	semidirect
103. #16810694	C₂²	semidirect
104. #16810693	C₂²	semidirect
105. #16810693	C₂²	semidirect
106. #16810693	C₂²	semidirect
107. #16810693	C₂²	semidirect
108. #16810692	C₂²	semidirect
109. #16810692	C₂²	semidirect
110. #16810692	C₂²	semidirect
111. #16810691	C₂²	semidirect
112. #16810691	C₂²	semidirect
113. #16810691	C₂²	semidirect
114. C₈×D₂₁₂	C₂²	semidirect
115. D₄×#88322	C₂²	semidirect
116. D₄×#88322	C₂²	semidirect
117. #16810688	C₂²	semidirect
118. C₈×C₂²⋊D₅₃	C₂²	semidirect
119. C₈×C₂²⋊D₅₃	C₂²	semidirect
120. C₈×C₂²⋊D₅₃	C₂²	semidirect
121. #16810686	C₂²	semidirect
122. #16810686	C₂²	semidirect
123. #16810686	C₂²	semidirect
124. #16810686	C₂²	semidirect
125. #16810686	C₂²	semidirect
126. #16810685	C₂²	semidirect
127. #16810684	C₂²	semidirect
128. #16810684	C₂²	semidirect
129. #16810683	C₂²	semidirect
130. #16810683	C₂²	semidirect
131. #16810682	C₂²	semidirect
132. #16810678	C₂²	semidirect
133. #16810677	C₂²	semidirect
134. #16810675	C₂²	semidirect
135. #16810675	C₂²	semidirect
136. #16810674	C₂²	semidirect
137. #16810673	C₂²	semidirect
138. #16810673	C₂²	semidirect
139. #16810673	C₂²	semidirect
140. #16810648	C₂²	semidirect
141. #16810648	C₂²	semidirect
142. #16810645	C₂²	semidirect
143. C₄⋊C₈×D₅₃	C₂²	semidirect
144. #16810591	C₂²	semidirect
145. #16810591	C₂²	semidirect
146. #16810591	C₂²	semidirect
147. #16810590	C₂²	semidirect
148. #16810590	C₂²	semidirect
149. #16810589	C₂²	semidirect
154. #16810588	C₂²	semidirect
155. #16810588	C₂²	semidirect
156. #16810588	C₂²	semidirect
157. #16810588	C₂²	semidirect
158. #16810588	C₂²	semidirect
159. #16810588	C₂²	semidirect
160. #16810588	C₂²	semidirect
161. #16810588	C₂²	semidirect
162. #16810588	C₂²	semidirect
163. #16810588	C₂²	semidirect
164. #16810588	C₂²	semidirect
165. #16810588	C₂²	semidirect
166. #16810587	C₂²	semidirect
167. #16810586	C₂²	semidirect
168. #16810586	C₂²	semidirect
169. #16810586	C₂²	semidirect
170. #16810585	C₂²	semidirect
171. #16810585	C₂²	semidirect
172. #16810585	C₂²	semidirect
173. #16810585	C₂²	semidirect
174. #16810585	C₂²	semidirect
175. #16810585	C₂²	semidirect
176. #16810585	C₂²	semidirect
177. #16810585	C₂²	semidirect
178. C₂×C₂²⋊#88322	C₂²	semidirect
179. C₂×#13133129	C₂²	semidirect
180. C₂²⋊C₈×D₅₃	C₂²	semidirect
181. C₂²⋊C₈×D₅₃	C₂²	semidirect
182. C₂²⋊C₈×D₅₃	C₂²	semidirect
183. C₂²⋊C₈×D₅₃	C₂²	semidirect
184. #16810580	C₂²	semidirect
185. #16810577	C₂²	semidirect
186. #16810575	C₂²	semidirect
187. C₄×C₈×D₅₃	C₂²	semidirect
189. C₅₃×#436	C₂²	semidirect
190. C₅₃×#436	C₂²	semidirect
191. C₅₃×#436	C₂²	semidirect
192. C₅₃×#436	C₂²	semidirect
193. C₅₃×#435	C₂²	semidirect
194. C₅₃×#435	C₂²	semidirect
195. C₅₃×#435	C₂²	semidirect
196. C₅₃×#435	C₂²	semidirect
197. C₅₃×#433	C₂²	semidirect
198. C₅₃×#433	C₂²	semidirect
199. C₅₃×#408	C₂²	semidirect
200. C₅₃×#408	C₂²	semidirect
201. C₅₃×#407	C₂²	semidirect
202. C₅₃×#407	C₂²	semidirect
971. #2978	D₅₃	semidirect
1071. #436	C₂×D₅₃	semidirect
1072. #436	C₂×D₅₃	semidirect
1073. #436	C₂×D₅₃	semidirect
1074. #436	C₂×D₅₃	semidirect
1095. #435	C₂×D₅₃	semidirect
1096. #435	C₂×D₅₃	semidirect
1097. #435	C₂×D₅₃	semidirect
1098. #435	C₂×D₅₃	semidirect
1117. #433	C₂×D₅₃	semidirect
1118. #433	C₂×D₅₃	semidirect
1153. #408	C₂×D₅₃	semidirect
1154. #408	C₂×D₅₃	semidirect
1167. #407	C₂×D₅₃	semidirect
1168. #407	C₂×D₅₃	semidirect
1179. C₅₃	#60241	semidirect

Maximal subgroups

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

subgroup	index
#20288198	2
#20283788	2
#20283787	2
#20283780	2
#20283779	2
#20283776	2
#20283772	2
#20283764	2
#20283763	2
#20283762	2
#20283761	2
#20283754	2
#20283753	2
#20283751	2
#20283745	2
#20283456	2
#20283448	2
#20283444	2
#20283441	2
#20283424	2
#20283415	2
#20283413	2
#436×D₅₃	2
#20283378	2
#20283356	2
#20283165	2
#20283163	2
#20283158	2
#20283157	2
C₅₃×#2978	2
#60241	53