Subgroups — #27592347

Order 13568.

1574 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20283050	C₂	1	1	yes	maximal, characteristic, complemented
2	#20283019	C₂	1	1	yes	maximal, characteristic, complemented
3	#20282581	C₂	1	1	yes	maximal, characteristic, complemented
4	#20282573	C₂	1	1	yes	maximal, characteristic, complemented
5	#20282340	C₂	1	1	yes	maximal, characteristic, complemented
6	#20282340	C₂	1	1	yes	maximal, characteristic, complemented
7	#20282259	C₂	1	1	yes	maximal, characteristic, complemented
8	#20282122	C₂	1	1	yes	maximal, characteristic, complemented
9	#20282058	C₂	1	1	yes	maximal, characteristic, complemented
10	#20281978	C₂	1	1	yes	maximal, characteristic, complemented
11	#20281960	C₂	1	1	yes	maximal, characteristic, complemented
12	#20281902	C₂	1	1	yes	maximal, characteristic, complemented
13	#20281812	C₂	1	1	yes	maximal, characteristic, complemented
14	#20281716	C₂	1	1	yes	maximal, characteristic, complemented
15	#20281629	C₂	1	1	yes	maximal, characteristic, complemented
16	#20281528	C₂	1	1	yes	maximal, characteristic, complemented
17	#20281485	C₂	1	1	yes	maximal, characteristic, complemented
18	#20280641	C₂	1	1	yes	maximal, characteristic, complemented
19	#20280608	C₂	1	1	yes	maximal, characteristic
20	#20280249	C₂	1	1	yes	maximal, characteristic, complemented
21	#20280216	C₂	1	1	yes	maximal, characteristic, complemented
22	#20280044	C₂	1	1	yes	maximal, characteristic, complemented
23	#20280017	C₂	1	1	yes	maximal, characteristic, complemented
24	#20279545	C₂	1	1	yes	maximal, characteristic, complemented
25	#20279505	C₂	1	1	yes	maximal, characteristic, complemented
26	#20278939	C₂	1	1	yes	maximal, characteristic, complemented
27	#20278875	C₂	1	1	yes	maximal, characteristic, complemented
28	#20277479	C₂	1	1	yes	maximal, characteristic, complemented
29	#20277470	C₂	1	1	yes	maximal, characteristic, complemented
30	#20277153	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2789	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13133212	C₂²	1	1	yes	characteristic
33	C₂×#13133206	C₂²	1	1	yes	characteristic
34	C₂×#13133205	C₂²	1	1	yes	characteristic
35	C₂×#13133195	C₂²	1	1	yes	characteristic
36	C₂×#13133193	C₂²	1	1	yes	characteristic
37	C₂×#13133192	C₂²	1	1	yes	characteristic
38	C₂×#13133179	C₂²	1	1	yes	characteristic
39	C₂×#13133175	C₂²	1	1	yes	characteristic
40	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
41	C₅₃⋊#401	C₂²	1	1	yes	characteristic
42	#16810564	C₂²	1	1	yes	characteristic
43	#16810564	C₂²	1	1	yes	characteristic
44	#16810564	C₂²	1	1	yes	characteristic
45	#16810564	C₂²	1	1	yes	characteristic
46	#16810564	C₂²	1	1	yes	characteristic
47	#16810558	C₂²	1	1	yes	characteristic
48	#16810558	C₂²	1	1	yes	characteristic
49	#16810558	C₂²	1	1	yes	characteristic
50	#16810558	C₂²	1	1	yes	characteristic
51	#16810557	C₂²	1	1	yes	characteristic
52	#16810553	C₂²	1	1	yes	characteristic
53	#16810552	C₂²	1	1	yes	characteristic
54	#16810552	C₂²	1	1	yes	characteristic
55	#16810552	C₂²	1	1	yes	characteristic
56	#16810552	C₂²	1	1	yes	characteristic
57	#16810552	C₂²	1	1	yes	characteristic
58	#16810550	C₂²	1	1	yes	characteristic
59	#16810550	C₂²	1	1	yes	characteristic
60	#16810550	C₂²	1	1	yes	characteristic
61	#16810550	C₂²	1	1	yes	characteristic
62	#16810549	C₂²	1	1	yes	characteristic
63	#16810549	C₂²	1	1	yes	characteristic
64	#16810549	C₂²	1	1	yes	characteristic
65	#16810547	C₂²	1	1	yes	characteristic
66	#16810545	C₂²	1	1	yes	characteristic
67	#16810545	C₂²	1	1	yes	characteristic
68	#16810544	C₂²	1	1	yes	characteristic
69	#16810541	C₂²	1	1	yes	characteristic
70	#16810541	C₂²	1	1	yes	characteristic
71	#16810541	C₂²	1	1	yes	characteristic
72	#16810541	C₂²	1	1	yes	characteristic
73	#16810541	C₂²	1	1	yes	characteristic
74	#16810541	C₂²	1	1	yes	characteristic
75	#16810540	C₂²	1	1	yes	characteristic
76	#16810540	C₂²	1	1	yes	characteristic
77	#16810540	C₂²	1	1	yes	characteristic
78	#16810536	C₂²	1	1	yes	characteristic
79	#16810534	C₂²	1	1	yes	characteristic
80	#16810533	C₂²	1	1	yes	characteristic
81	#16810533	C₂²	1	1	yes	characteristic
82	#16810533	C₂²	1	1	yes	characteristic
83	#16810530	C₂²	1	1	yes	characteristic
84	#16810527	C₂²	1	1	yes	characteristic
85	#16810527	C₂²	1	1	yes	characteristic
86	#16810527	C₂²	1	1	yes	characteristic
87	#16810525	C₂²	1	1	yes	characteristic
88	#16810525	C₂²	1	1	yes	characteristic
89	#16810524	C₂²	1	1	yes	characteristic
90	#16810524	C₂²	1	1	yes	characteristic
91	#16810520	C₂²	1	1	yes	characteristic
92	#16810520	C₂²	1	1	yes	characteristic
93	#16810518	C₂²	1	1	yes	characteristic
94	#16810518	C₂²	1	1	yes	characteristic
95	#16810515	C₂²	1	1	yes	characteristic
96	#16810515	C₂²	1	1	yes	characteristic
97	#16810515	C₂²	1	1	yes	characteristic
98	#16810514	C₂²	1	1	yes	characteristic
99	#16810514	C₂²	1	1	yes	characteristic
100	#16810514	C₂²	1	1	yes	characteristic
101	#16810514	C₂²	1	1	yes	characteristic
102	#16810513	C₂²	1	1	yes	characteristic
103	#16810513	C₂²	1	1	yes	characteristic
104	#16810513	C₂²	1	1	yes	characteristic
105	#16810512	C₂²	1	1	yes	characteristic
106	#16810512	C₂²	1	1	yes	characteristic
107	#16810512	C₂²	1	1	yes	characteristic
108	#16810512	C₂²	1	1	yes	characteristic
109	#16810512	C₂²	1	1	yes	characteristic
110	#16810512	C₂²	1	1	yes	characteristic
111	#16810512	C₂²	1	1	yes	characteristic
112	#16810512	C₂²	1	1	yes	characteristic
113	#16810512	C₂²	1	1	yes	characteristic
114	#16810512	C₂²	1	1	yes	characteristic
115	#16810512	C₂²	1	1	yes	characteristic
116	#16810512	C₂²	1	1	yes	characteristic
117	#16810512	C₂²	1	1	yes	characteristic
118	#16810510	C₂²	1	1	yes	characteristic
119	#16810509	C₂²	1	1	yes	characteristic
120	#16810509	C₂²	1	1	yes	characteristic
121	#16810508	C₂²	1	1	yes	characteristic
122	#16810508	C₂²	1	1	yes	characteristic
123	#16810508	C₂²	1	1	yes	characteristic
124	#16810508	C₂²	1	1	yes	characteristic
125	#16810507	C₂²	1	1	yes	characteristic
126	#16810507	C₂²	1	1	yes	characteristic
127	#16810506	C₂²	1	1	yes	characteristic
128	#16810506	C₂²	1	1	yes	characteristic
129	#16810505	C₂²	1	1	yes	characteristic
130	#16810505	C₂²	1	1	yes	characteristic
131	#16810504	C₂²	1	1	yes	characteristic
132	#16810504	C₂²	1	1	yes	characteristic
133	#16810501	C₂²	1	1	yes	characteristic
134	#16810501	C₂²	1	1	yes	characteristic
135	#16810501	C₂²	1	1	yes	characteristic
136	#16810501	C₂²	1	1	yes	characteristic
137	#16810501	C₂²	1	1	yes	characteristic
138	#16810501	C₂²	1	1	yes	characteristic
139	#16810501	C₂²	1	1	yes	characteristic
140	#16810501	C₂²	1	1	yes	characteristic
141	#16810501	C₂²	1	1	yes	characteristic
142	#16810501	C₂²	1	1	yes	characteristic
143	#16810501	C₂²	1	1	yes	characteristic
144	#16810501	C₂²	1	1	yes	characteristic
145	#16810501	C₂²	1	1	yes	characteristic
146	#16810501	C₂²	1	1	yes	characteristic
147	#16810497	C₂²	1	1	yes	characteristic
148	#16810497	C₂²	1	1	yes	characteristic
149	#16810497	C₂²	1	1	yes	characteristic
150	#16810494	C₂²	1	1	yes	characteristic
151	#16810494	C₂²	1	1	yes	characteristic
152	#16810494	C₂²	1	1	yes	characteristic
153	#16810494	C₂²	1	1	yes	characteristic
154	#16810494	C₂²	1	1	yes	characteristic
155	#16810490	C₂²	1	1	yes	characteristic
156	#16810488	C₂²	1	1	yes	characteristic
157	#16810485	C₂²	1	1	yes	characteristic
158	#16810485	C₂²	1	1	yes	characteristic
159	#16810485	C₂²	1	1	yes	characteristic
160	#16810485	C₂²	1	1	yes	characteristic
161	#16810482	C₂²	1	1	yes	characteristic
162	#16810482	C₂²	1	1	yes	characteristic
163	#16810480	C₂²	1	1	yes	characteristic
164	C₄×#11719919	C₂²	1	1	yes	characteristic
165	#16810474	C₂²	1	1	yes	characteristic
166	#16810474	C₂²	1	1	yes	characteristic
167	C₄×#11719921	C₂²	1	1	yes	characteristic
168	#16810470	C₂²	1	1	yes	characteristic
169	#16810470	C₂²	1	1	yes	characteristic
170	#16810470	C₂²	1	1	yes	characteristic
171	#16810468	C₂²	1	1	yes	characteristic
172	C₅₃×#401	C₂²	1	1	yes	characteristic
173	C₅₃×#401	C₂²	1	1	yes	characteristic
174	C₅₃×#400	C₂²	1	1	yes	characteristic
175	C₅₃×#400	C₂²	1	1	yes	characteristic
176	C₅₃×#398	C₂²	1	1	yes	characteristic
177	C₅₃×#395	C₂²	1	1	yes	characteristic
178	C₅₃×#391	C₂²	1	1	yes	characteristic
179	C₅₃×#391	C₂²	1	1	yes	characteristic
180	C₅₃×#387	C₂²	1	1	yes	characteristic
181	C₅₃×#387	C₂²	1	1	yes	characteristic
182	C₅₃×#387	C₂²	1	1	yes	characteristic
183	C₅₃×#387	C₂²	1	1	yes	characteristic
184	C₅₃×#387	C₂²	1	1	yes	characteristic
185	C₅₃×#387	C₂²	1	1	yes	characteristic
186	C₅₃×#382	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
188	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
189	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
190	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
191	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
192	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
193	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
200	#13133212	—	4	2	no	—
201	#13133206	—	4	2	no	—
202	#13133205	—	4	2	no	—
203	#13133195	—	4	2	no	—
204	#13133193	—	2	4	no	—
205	#13133192	—	2	4	no	—
206	#13133179	—	2	4	no	—
207	#13133175	—	4	2	no	—
208	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
213	C₂×#11719919	C₂³	1	1	yes	characteristic
214	C₂×#11719919	C₂³	1	1	yes	characteristic
215	C₂×#11719919	C₂³	1	1	yes	characteristic
216	C₂×#11719919	C₂³	1	1	yes	characteristic
217	C₂×#11719919	C₂³	1	1	yes	characteristic
218	C₂×#11719919	C₂³	1	1	yes	characteristic
219	C₂×#11719919	C₂³	1	1	yes	characteristic
220	C₂×#11719919	C₂³	1	1	yes	characteristic
221	C₂×#11719919	C₂³	1	1	yes	characteristic
222	C₂×#11719919	C₂³	1	1	yes	characteristic
223	C₂×#11719919	C₂³	1	1	yes	characteristic
224	C₂×#11719919	C₂³	1	1	yes	characteristic
225	C₂×#11719919	C₂³	1	1	yes	characteristic
226	C₂×#11719919	C₂³	1	1	yes	characteristic
227	C₂×#11719919	C₂³	1	1	yes	characteristic
228	C₂×#11719919	C₂³	1	1	yes	characteristic
229	C₂×#11719921	C₂³	1	1	yes	characteristic
230	C₂×#11719921	C₂³	1	1	yes	characteristic
231	C₂×#11719921	C₂³	1	1	yes	characteristic
232	C₂×#11719921	C₂³	1	1	yes	characteristic
233	C₂×#11719921	C₂³	1	1	yes	characteristic
234	C₂×#11719921	C₂³	1	1	yes	characteristic
235	C₂×#11719921	C₂³	1	1	yes	characteristic
236	C₂×#11719921	C₂³	1	1	yes	characteristic
237	C₂×#11719921	C₂³	1	1	yes	characteristic
238	C₂×#11719921	C₂³	1	1	yes	characteristic
239	C₂×#11719921	C₂³	1	1	yes	characteristic
240	C₂×#11719921	C₂³	1	1	yes	characteristic
241	C₂×#11719921	C₂³	1	1	yes	characteristic
242	C₂×#11719921	C₂³	1	1	yes	characteristic
243	C₂×#11719921	C₂³	1	1	yes	characteristic
244	C₂×#11719921	C₂³	1	1	yes	characteristic
245	C₂×#11719921	C₂³	1	1	yes	characteristic
246	C₂×#11719921	C₂³	1	1	yes	characteristic
247	C₂×#11719921	C₂³	1	1	yes	characteristic
248	C₂×#11719921	C₂³	1	1	yes	characteristic
249	C₂×#11719921	C₂³	1	1	yes	characteristic
250	C₂×#11719921	C₂³	1	1	yes	characteristic
251	C₂×#11719921	C₂³	1	1	yes	characteristic
252	C₂×#11719921	C₂³	1	1	yes	characteristic
253	C₂×#11719921	C₂³	1	1	yes	characteristic
254	C₂×#11719921	C₂³	1	1	yes	characteristic
255	C₂×#11719921	C₂³	1	1	yes	characteristic
256	C₂×#11719921	C₂³	1	1	yes	characteristic
257	C₂×#11719921	C₂³	1	1	yes	characteristic
258	C₂×#11719921	C₂³	1	1	yes	characteristic
259	C₂×#11719921	C₂³	1	1	yes	characteristic
260	C₂×#11719921	C₂³	1	1	yes	characteristic
261	C₂×#11719921	C₂³	1	1	yes	characteristic
262	C₂×#11719921	C₂³	1	1	yes	characteristic
263	C₂×#11719921	C₂³	1	1	yes	characteristic
264	C₂×#11719921	C₂³	1	1	yes	characteristic
265	C₂×#11719921	C₂³	1	1	yes	characteristic
266	C₂×#11719921	C₂³	1	1	yes	characteristic
267	C₂×#11719921	C₂³	1	1	yes	characteristic
268	C₂×#11719921	C₂³	1	1	yes	characteristic
269	C₂×#11719921	C₂³	1	1	yes	characteristic
270	C₂×#11719921	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
281	C₄²×D₅₃	—	4	2	no	—
282	#13133124	C₂³	1	1	yes	characteristic
283	#13133124	C₂³	1	1	yes	characteristic
284	#13133124	C₂³	1	1	yes	characteristic
285	#13133124	C₂³	1	1	yes	characteristic
286	#13133124	C₂³	1	1	yes	characteristic
287	#13133124	C₂³	1	1	yes	characteristic
288	#13133124	C₂³	1	1	yes	characteristic
289	#13133124	C₂³	1	1	yes	characteristic
290	#13133124	C₂³	1	1	yes	characteristic
291	#13133124	C₂³	1	1	yes	characteristic
292	#13133124	C₂³	1	1	yes	characteristic
293	#13133124	C₂³	1	1	yes	characteristic
294	#13133124	C₂³	1	1	yes	characteristic
295	#13133124	C₂³	1	1	yes	characteristic
296	#13133124	C₂³	1	1	yes	characteristic
297	#13133124	C₂³	1	1	yes	characteristic
298	#13133124	C₂³	1	1	yes	characteristic
299	#13133124	C₂³	1	1	yes	characteristic
300	#13133124	C₂³	1	1	yes	characteristic
301	#13133124	C₂³	1	1	yes	characteristic
302	#13133124	C₂³	1	1	yes	characteristic
303	#13133124	C₂³	1	1	yes	characteristic
304	#13133124	C₂³	1	1	yes	characteristic
305	#13133124	C₂³	1	1	yes	characteristic
306	#13133124	C₂³	1	1	yes	characteristic
307	#13133124	C₂³	1	1	yes	characteristic
308	#13133124	C₂³	1	1	yes	characteristic
309	#13133124	C₂³	1	1	yes	characteristic
310	#13133124	C₂³	1	1	yes	characteristic
311	#13133124	C₂³	1	1	yes	characteristic
312	#13133124	C₂³	1	1	yes	characteristic
313	#13133124	C₂³	1	1	yes	characteristic
314	#13133124	C₂³	1	1	yes	characteristic
315	#13133124	C₂³	1	1	yes	characteristic
316	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
329	#95×C₅₃	C₂³	1	1	yes	characteristic
330	#95×C₅₃	C₂³	1	1	yes	characteristic
331	#95×C₅₃	C₂³	1	1	yes	characteristic
332	#95×C₅₃	C₂³	1	1	yes	characteristic
333	#95×C₅₃	C₂³	1	1	yes	characteristic
334	#95×C₅₃	C₂³	1	1	yes	characteristic
335	#95×C₅₃	C₂³	1	1	yes	characteristic
336	#95×C₅₃	C₂³	1	1	yes	characteristic
337	#95×C₅₃	C₂³	1	1	yes	characteristic
338	#95×C₅₃	C₂³	1	1	yes	characteristic
339	#95×C₅₃	C₂³	1	1	yes	characteristic
340	#95×C₅₃	C₂³	1	1	yes	characteristic
341	#95×C₅₃	C₂³	1	1	yes	characteristic
342	#95×C₅₃	C₂³	1	1	yes	characteristic
343	#95×C₅₃	C₂³	1	1	yes	characteristic
344	#95×C₅₃	C₂³	1	1	yes	characteristic
345	#95×C₅₃	C₂³	1	1	yes	characteristic
346	#95×C₅₃	C₂³	1	1	yes	characteristic
347	#95×C₅₃	C₂³	1	1	yes	characteristic
348	#95×C₅₃	C₂³	1	1	yes	characteristic
349	#95×C₅₃	C₂³	1	1	yes	characteristic
350	#95×C₅₃	C₂³	1	1	yes	characteristic
351	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
352	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
353	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
354	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
355	C₂×Q₈×C₅₃	—	2	2	no	—
356	C₂×Q₈×C₅₃	—	4	1	no	—
357	C₂×Q₈×C₅₃	—	4	1	no	—
358	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
385	C₂×D₂₁₂	—	2	2	no	—
386	C₂×D₂₁₂	—	2	2	no	—
387	C₂×D₂₁₂	—	2	2	no	—
388	C₂×D₂₁₂	—	2	2	no	—
389	C₂×D₂₁₂	—	4	1	no	—
390	C₂×D₂₁₂	—	4	1	no	—
391	C₂×D₂₁₂	—	4	1	no	—
392	C₂×D₂₁₂	—	4	1	no	—
393	C₂×D₂₁₂	—	4	1	no	—
394	C₂×D₂₁₂	—	4	1	no	—
395	C₂×D₂₁₂	—	4	1	no	—
396	C₂×D₂₁₂	—	4	1	no	—
397	C₂×D₂₁₂	—	4	1	no	—
398	C₂×D₂₁₂	—	4	1	no	—
399	C₂×D₂₁₂	—	4	1	no	—
400	C₂×D₂₁₂	—	4	1	no	—
401	C₂×D₂₁₂	—	4	1	no	—
402	C₂×D₂₁₂	—	4	1	no	—
403	C₂×C₄×D₅₃	—	2	2	no	—
404	C₂×C₄×D₅₃	—	2	2	no	—
405	C₂×C₄×D₅₃	—	4	1	no	—
406	C₂×C₄×D₅₃	—	4	1	no	—
407	C₂×C₄×D₅₃	—	4	1	no	—
408	C₂×C₄×D₅₃	—	4	1	no	—
409	C₂×C₄×D₅₃	—	4	1	no	—
410	C₂×C₄×D₅₃	—	4	1	no	—
411	C₂×C₄×D₅₃	—	4	1	no	—
412	C₂×C₄×D₅₃	—	4	1	no	—
413	C₂×C₄×D₅₃	—	4	1	no	—
414	C₂×C₄×D₅₃	—	4	1	no	—
415	C₂×C₄×D₅₃	—	4	1	no	—
416	C₂×C₄×D₅₃	—	4	1	no	—
417	C₂×C₄×D₅₃	—	4	1	no	—
418	C₂×C₄×D₅₃	—	4	1	no	—
419	C₂×C₄×D₅₃	—	4	1	no	—
420	C₂×C₄×D₅₃	#41	1	4	yes	—
421	C₂×Dic₁₀₆	—	2	2	no	—
422	C₂×Dic₁₀₆	—	4	1	no	—
423	C₂×Dic₁₀₆	—	4	1	no	—
424	C₄⋊C₄×C₅₃	—	2	2	no	—
425	C₄⋊C₄×C₅₃	—	2	2	no	—
426	C₄⋊C₄×C₅₃	—	4	1	no	—
427	C₄⋊C₄×C₅₃	—	4	1	no	—
428	C₄⋊C₄×C₅₃	—	4	1	no	—
429	C₄⋊C₄×C₅₃	—	4	1	no	—
430	C₄⋊C₄×C₅₃	—	4	1	no	—
431	C₄⋊C₄×C₅₃	—	4	1	no	—
432	C₄⋊C₄×C₅₃	—	4	1	no	—
433	C₄²×C₅₃	—	4	1	no	—
434	C₄²×C₅₃	—	4	1	no	—
435	C₄²×C₅₃	—	4	1	no	—
436	#11719921	—	2	2	no	—
437	#11719921	—	2	2	no	—
438	#11719921	—	2	2	no	—
439	#11719921	—	2	2	no	—
440	#11719921	—	2	2	no	—
441	#11719921	—	2	2	no	—
442	#11719921	—	2	2	no	—
443	#11719921	—	2	2	no	—
444	#11719921	—	2	2	no	—
445	#11719921	—	4	1	no	—
446	#11719921	—	4	1	no	—
447	#11719921	—	4	1	no	—
448	#11719921	—	4	1	no	—
449	#11719921	—	4	1	no	—
450	#11719921	—	4	1	no	—
451	#11719921	—	4	1	no	—
452	#11719921	—	4	1	no	—
453	#11719921	—	4	1	no	—
454	#11719921	—	4	1	no	—
455	#11719921	—	4	1	no	—
456	#11719921	—	4	1	no	—
457	#11719921	—	4	1	no	—
458	#11719921	—	4	1	no	—
459	#11719921	—	4	1	no	—
460	#11719921	—	4	1	no	—
461	#11719921	—	4	1	no	—
462	#11719921	—	4	1	no	—
463	#11719921	—	4	1	no	—
464	#11719921	—	4	1	no	—
465	#11719921	—	4	1	no	—
466	#11719921	—	4	1	no	—
467	#11719921	—	4	1	no	—
468	#11719921	—	4	1	no	—
469	#11719921	—	4	1	no	—
470	#11719921	—	4	1	no	—
471	#11719921	—	4	1	no	—
472	#11719921	—	4	1	no	—
473	#11719921	—	4	1	no	—
474	#11719921	—	4	1	no	—
475	#11719921	—	4	1	no	—
476	#11719921	—	4	1	no	—
477	#11719921	—	4	1	no	—
478	C₄⋊Dic₅₃	—	2	2	no	—
479	C₄⋊Dic₅₃	—	2	2	no	—
480	C₄⋊Dic₅₃	—	4	1	no	—
481	C₄⋊Dic₅₃	—	4	1	no	—
482	C₄⋊Dic₅₃	—	4	1	no	—
483	#11719919	—	2	2	no	—
484	#11719919	—	2	2	no	—
485	#11719919	—	2	2	no	—
486	#11719919	—	4	1	no	—
487	#11719919	—	4	1	no	—
488	#11719919	—	4	1	no	—
489	#11719919	—	4	1	no	—
490	#11719919	—	4	1	no	—
491	#11719919	—	4	1	no	—
492	#11719919	—	4	1	no	—
493	#11719919	—	4	1	no	—
494	#11719919	—	4	1	no	—
495	#11719919	—	4	1	no	—
496	#11719919	—	4	1	no	—
497	#11719919	—	4	1	no	—
498	#11719919	—	4	1	no	—
499	C₄×Dic₅₃	—	2	2	no	—
500	C₄×Dic₅₃	—	2	2	no	—
501	C₄×Dic₅₃	—	2	2	no	—
502	C₄×Dic₅₃	—	4	1	no	—
503	C₄×Dic₅₃	—	4	1	no	—
504	C₄×Dic₅₃	—	4	1	no	—
505	C₄×Dic₅₃	—	4	1	no	—
506	C₄×Dic₅₃	—	4	1	no	—
507	C₄×Dic₅₃	—	4	1	no	—
508	C₄×Dic₅₃	—	4	1	no	—
509	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
510	C₂²×D₅₃	—	2	1	no	—
511	C₂²×D₅₃	—	2	1	no	—
512	C₂²×D₅₃	—	2	1	no	—
513	C₂²×D₅₃	—	2	1	no	—
514	C₂²×D₅₃	—	2	1	no	—
515	C₂²×D₅₃	—	2	1	no	—
516	C₂²×D₅₃	—	2	1	no	—
517	C₂²×D₅₃	—	2	1	no	—
518	C₂²×D₅₃	—	2	1	no	—
519	C₂²×D₅₃	—	2	1	no	—
520	C₂²×D₅₃	—	2	1	no	—
521	C₂²×D₅₃	—	2	1	no	—
522	C₂²×D₅₃	—	2	1	no	—
523	C₂²×D₅₃	—	2	1	no	—
524	C₂²×D₅₃	—	2	1	no	—
525	C₂²×D₅₃	—	2	1	no	—
526	C₂²×D₅₃	—	2	1	no	—
527	C₂²×D₅₃	—	2	1	no	—
528	C₂²×D₅₃	—	2	1	no	—
529	C₂²×D₅₃	—	2	1	no	—
530	C₂²×D₅₃	—	2	1	no	—
531	C₂²×D₅₃	—	2	1	no	—
532	C₂²×D₅₃	—	2	1	no	—
533	C₂²×D₅₃	—	2	1	no	—
534	C₂²×D₅₃	—	2	1	no	—
535	C₂²×D₅₃	—	2	1	no	—
536	C₂²×D₅₃	—	2	1	no	—
537	C₂²×D₅₃	C₂×#41	1	2	yes	—
538	Q₈×C₅₃	—	8	2	no	—
539	C₂×C₄×C₅₃	—	2	1	no	—
540	C₂×C₄×C₅₃	—	2	1	no	—
541	C₂×C₄×C₅₃	—	2	1	no	—
542	C₂×C₄×C₅₃	—	2	1	no	—
543	C₂×C₄×C₅₃	—	2	1	no	—
544	C₂×C₄×C₅₃	—	2	1	no	—
545	C₂×C₄×C₅₃	—	2	1	no	—
546	C₂×C₄×C₅₃	—	2	1	no	—
547	C₂×C₄×C₅₃	—	2	1	no	—
548	C₂×C₄×C₅₃	—	2	1	no	—
549	C₂×C₄×C₅₃	—	2	1	no	—
550	C₂×C₄×C₅₃	—	2	1	no	—
551	C₂×C₄×C₅₃	—	2	1	no	—
552	C₂×C₄×C₅₃	—	2	1	no	—
553	C₂×C₄×C₅₃	—	2	1	no	—
554	C₂×C₄×C₅₃	—	2	1	no	—
555	C₂×C₄×C₅₃	—	2	1	no	—
556	C₂×C₄×C₅₃	—	2	1	no	—
557	C₂×C₄×C₅₃	—	2	1	no	—
558	C₂×C₄×C₅₃	—	2	1	no	—
559	C₂×C₄×C₅₃	—	2	1	no	—
560	C₂×C₄×C₅₃	—	2	1	no	—
561	C₂×C₄×C₅₃	—	2	1	no	—
562	C₂×C₄×C₅₃	—	2	1	no	—
563	C₂×C₄×C₅₃	—	2	1	no	—
564	C₂×C₄×C₅₃	—	2	1	no	—
565	C₂×C₄×C₅₃	—	2	1	no	—
566	C₂×C₄×C₅₃	—	2	1	no	—
567	C₂×C₄×C₅₃	—	2	1	no	—
568	C₂×C₄×C₅₃	—	2	1	no	—
569	C₂×C₄×C₅₃	—	2	1	no	—
570	C₂×C₄×C₅₃	—	2	1	no	—
571	C₂×C₄×C₅₃	—	2	1	no	—
572	C₂×C₄×C₅₃	—	2	1	no	—
573	C₂×C₄×C₅₃	—	2	1	no	—
574	C₂×C₄×C₅₃	—	2	1	no	—
575	C₂×C₄×C₅₃	—	2	1	no	—
576	C₂×C₄×C₅₃	—	2	1	no	—
577	C₂×C₄×C₅₃	—	2	1	no	—
578	C₂×C₄×C₅₃	—	2	1	no	—
579	C₂×C₄×C₅₃	—	2	1	no	—
580	C₂×C₄×C₅₃	—	2	1	no	—
581	C₂×C₄×C₅₃	—	2	1	no	—
582	C₂×C₄×C₅₃	—	2	1	no	—
583	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
584	C₂×Dic₅₃	—	2	1	no	—
585	C₂×Dic₅₃	—	2	1	no	—
586	C₂×Dic₅₃	—	2	1	no	—
587	C₂×Dic₅₃	—	2	1	no	—
588	C₂×Dic₅₃	—	2	1	no	—
589	C₂×Dic₅₃	—	2	1	no	—
590	C₂×Dic₅₃	—	2	1	no	—
591	C₂×Dic₅₃	—	2	1	no	—
592	C₂×Dic₅₃	—	2	1	no	—
593	C₂×Dic₅₃	—	2	1	no	—
594	C₂×Dic₅₃	—	2	1	no	—
595	C₂×Dic₅₃	—	2	1	no	—
596	C₂×Dic₅₃	—	2	1	no	—
597	C₂×Dic₅₃	—	2	1	no	—
598	C₂×Dic₅₃	—	2	1	no	—
599	C₂×Dic₅₃	—	2	1	no	—
600	C₂×Dic₅₃	—	2	1	no	—
601	C₂×Dic₅₃	—	2	1	no	—
602	C₂×Dic₅₃	—	2	1	no	—
603	C₂×Dic₅₃	—	2	1	no	—
604	C₂×Dic₅₃	—	2	1	no	—
605	C₂×Dic₅₃	—	2	1	no	—
606	C₂×Dic₅₃	—	2	1	no	—
607	C₂×Dic₅₃	—	2	1	no	—
608	C₂×Dic₅₃	—	2	1	no	—
609	C₂×Dic₅₃	—	2	1	no	—
610	C₂×Dic₅₃	—	2	1	no	—
611	C₂×Dic₅₃	—	2	1	no	—
612	C₂×Dic₅₃	—	2	1	no	—
613	C₂×Dic₅₃	—	2	1	no	—
614	C₂×Dic₅₃	—	2	1	no	—
615	C₂×Dic₅₃	—	2	1	no	—
616	C₂×Dic₅₃	—	2	1	no	—
617	C₂×Dic₅₃	—	2	1	no	—
618	C₂×Dic₅₃	C₂×#41	1	2	yes	—
619	C₂×Dic₅₃	H(5,𝔽₂)	1	2	yes	—
620	D₂₁₂	—	4	4	no	—
621	D₂₁₂	—	8	2	no	—
622	D₂₁₂	—	8	2	no	—
623	D₂₁₂	—	8	2	no	—
624	D₂₁₂	—	8	2	no	—
625	D₂₁₂	—	8	2	no	—
626	C₄×D₅₃	—	4	4	no	—
627	C₄×D₅₃	—	4	4	no	—
628	C₄×D₅₃	—	4	4	no	—
629	C₄×D₅₃	—	4	4	no	—
630	C₄×D₅₃	—	8	2	no	—
631	C₄×D₅₃	—	8	2	no	—
632	Dic₁₀₆	—	8	2	no	—
633	#36773	—	53	1	no	maximal, Sylow
634	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
635	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
636	C₂²×C₅₃	#585	1	1	yes	characteristic
637	C₂²×C₅₃	#585	1	1	yes	characteristic
638	C₂²×C₅₃	#585	1	1	yes	characteristic
639	C₂²×C₅₃	#585	1	1	yes	characteristic
640	C₂²×C₅₃	#585	1	1	yes	characteristic
641	C₂×D₅₃	—	2	2	no	—
642	C₂×D₅₃	—	2	2	no	—
643	C₂×D₅₃	—	2	2	no	—
644	C₂×D₅₃	—	4	1	no	—
645	C₂×D₅₃	—	4	1	no	—
646	C₂×D₅₃	—	4	1	no	—
647	C₂×D₅₃	—	4	1	no	—
648	C₂×D₅₃	—	4	1	no	—
649	C₂×D₅₃	—	4	1	no	—
650	C₂×D₅₃	—	4	1	no	—
651	C₂×D₅₃	—	4	1	no	—
652	C₂×D₅₃	—	4	1	no	—
653	C₂×D₅₃	—	4	1	no	—
654	C₂×D₅₃	—	4	1	no	—
655	C₂×D₅₃	—	4	1	no	—
656	C₂×D₅₃	—	4	1	no	—
657	C₂×D₅₃	—	4	1	no	—
658	C₂×D₅₃	—	4	1	no	—
659	C₂×D₅₃	—	4	1	no	—
660	C₂×D₅₃	—	4	1	no	—
661	C₂×D₅₃	—	4	1	no	—
662	C₂×D₅₃	—	4	1	no	—
663	C₂×D₅₃	—	4	1	no	—
664	C₂×D₅₃	—	4	1	no	—
665	C₂×D₅₃	—	4	1	no	—
666	C₂×D₅₃	—	4	1	no	—
667	C₂×D₅₃	—	4	1	no	—
668	C₂×D₅₃	—	4	1	no	—
669	C₄×C₅₃	—	2	2	no	—
670	C₄×C₅₃	—	4	1	no	—
671	C₄×C₅₃	—	4	1	no	—
672	C₄×C₅₃	—	4	1	no	—
673	C₄×C₅₃	—	4	1	no	—
674	C₄×C₅₃	—	4	1	no	—
675	C₄×C₅₃	—	4	1	no	—
676	C₄×C₅₃	—	4	1	no	—
677	C₄×C₅₃	—	4	1	no	—
678	C₄×C₅₃	—	4	1	no	—
679	C₄×C₅₃	—	4	1	no	—
680	C₄×C₅₃	—	4	1	no	—
681	C₄×C₅₃	—	4	1	no	—
682	C₄×C₅₃	—	4	1	no	—
683	C₄×C₅₃	—	4	1	no	—
684	Dic₅₃	—	2	2	no	—
685	Dic₅₃	—	2	2	no	—
686	Dic₅₃	—	4	1	no	—
687	Dic₅₃	—	4	1	no	—
688	Dic₅₃	—	4	1	no	—
689	Dic₅₃	—	4	1	no	—
690	Dic₅₃	—	4	1	no	—
691	Dic₅₃	—	4	1	no	—
692	Dic₅₃	—	4	1	no	—
693	Dic₅₃	—	4	1	no	—
694	Dic₅₃	—	4	1	no	—
695	Dic₅₃	—	4	1	no	—
696	#2855	—	53	1	no	—
697	#2850	—	53	1	no	—
698	#2798	—	53	1	no	—
699	#2797	—	53	1	no	—
700	#2789	D₅₃	1	1	yes	characteristic, complemented
701	#2778	—	53	1	no	—
702	#2778	—	53	1	no	—
703	#2773	—	53	1	no	—
704	#2762	—	53	1	no	—
705	#2757	—	53	1	no	—
706	#2752	—	53	1	no	—
707	#2750	—	53	1	no	—
708	#2746	—	53	1	no	—
709	#2740	—	53	1	no	—
710	#2730	—	53	1	no	—
711	#2723	—	53	1	no	—
712	#2715	—	53	1	no	—
713	#2712	—	53	1	no	—
714	#2638	—	53	1	no	—
715	#2635	—	53	1	no	—
716	#2596	—	53	1	no	—
717	#2594	—	53	1	no	—
718	#2578	—	53	1	no	—
719	#2576	—	53	1	no	—
720	#2530	—	53	1	no	—
721	#2527	—	53	1	no	—
722	#2479	—	53	1	no	—
723	#2474	—	53	1	no	—
724	#2333	—	53	1	no	—
725	#2332	—	53	1	no	—
726	#2290	—	53	1	no	—
727	C₂×C₅₃	#3455	1	1	yes	characteristic
728	C₂×C₅₃	#3505	1	1	yes	characteristic
729	C₂×C₅₃	#3510	1	1	yes	characteristic
730	C₂×C₅₃	#3533	1	1	yes	characteristic
731	C₂×C₅₃	#3539	1	1	yes	characteristic
732	C₂×C₅₃	#3566	1	1	yes	characteristic
733	C₂×C₅₃	#3568	1	1	yes	characteristic
734	D₅₃	—	4	2	no	—
735	D₅₃	—	8	1	no	—
736	D₅₃	—	8	1	no	—
737	D₅₃	—	8	1	no	—
738	C₂×#126	—	53	1	no	—
739	C₂×#124	—	53	1	no	—
740	C₂×#124	—	53	1	no	—
741	C₂×C₂²⋊Q₈	—	53	1	no	—
742	C₂×C₂²⋊Q₈	—	53	1	no	—
743	C₂×#121	—	53	1	no	—
744	C₂×C₄×D₄	—	53	1	no	—
745	C₂×#117	—	53	1	no	—
746	C₂²×C₄²	—	53	1	no	—
747	#401	—	53	1	no	—
748	#401	C₂×D₅₃	1	1	yes	characteristic
749	#401	C₂×D₅₃	1	1	yes	characteristic
750	#400	—	53	1	no	—
751	#400	—	53	1	no	—
752	#400	—	53	1	no	—
753	#400	—	53	1	no	—
754	#400	—	53	1	no	—
755	#400	C₂×D₅₃	1	1	yes	characteristic
756	#400	C₂×D₅₃	1	1	yes	characteristic
757	#399	—	53	1	no	—
758	#399	—	53	1	no	—
759	#399	—	53	1	no	—
760	#399	—	53	1	no	—
761	#398	—	53	1	no	—
762	#398	—	53	1	no	—
763	#398	C₂×D₅₃	1	1	yes	characteristic
764	#397	—	53	1	no	—
765	#397	—	53	1	no	—
766	#397	—	53	1	no	—
767	#397	—	53	1	no	—
768	#397	—	53	1	no	—
769	#397	—	53	1	no	—
770	#397	—	53	1	no	—
771	#397	—	53	1	no	—
772	#397	—	53	1	no	—
773	#397	—	53	1	no	—
774	#397	—	53	1	no	—
775	#397	—	53	1	no	—
776	#396	—	53	1	no	—
777	#396	—	53	1	no	—
778	#396	—	53	1	no	—
779	#395	—	53	1	no	—
780	#395	C₂×D₅₃	1	1	yes	characteristic
781	#394	—	53	1	no	—
782	#394	—	53	1	no	—
783	#394	—	53	1	no	—
784	#394	—	53	1	no	—
785	#394	—	53	1	no	—
786	#394	—	53	1	no	—
787	#394	—	53	1	no	—
788	#394	—	53	1	no	—
789	#394	—	53	1	no	—
790	#393	—	53	1	no	—
791	#393	—	53	1	no	—
792	#392	—	53	1	no	—
793	#392	—	53	1	no	—
794	#392	—	53	1	no	—
795	#391	—	53	1	no	—
796	#391	—	53	1	no	—
797	#391	—	53	1	no	—
798	#391	—	53	1	no	—
799	#391	C₂×D₅₃	1	1	yes	characteristic
800	#391	C₂×D₅₃	1	1	yes	characteristic
801	#390	—	53	1	no	—
802	#390	—	53	1	no	—
803	#390	—	53	1	no	—
804	#390	—	53	1	no	—
805	#389	—	53	1	no	—
806	#389	—	53	1	no	—
807	#389	—	53	1	no	—
808	#389	—	53	1	no	—
809	#388	—	53	1	no	—
810	#388	—	53	1	no	—
811	#388	—	53	1	no	—
812	#388	—	53	1	no	—
813	#388	—	53	1	no	—
814	#388	—	53	1	no	—
815	#388	—	53	1	no	—
816	#388	—	53	1	no	—
817	#388	—	53	1	no	—
818	#388	—	53	1	no	—
819	#388	—	53	1	no	—
820	#388	—	53	1	no	—
821	#388	—	53	1	no	—
822	#388	—	53	1	no	—
823	#388	—	53	1	no	—
824	#388	—	53	1	no	—
825	#388	—	53	1	no	—
826	#388	—	53	1	no	—
827	#388	—	53	1	no	—
828	#388	—	53	1	no	—
829	#388	—	53	1	no	—
830	#388	—	53	1	no	—
831	#388	—	53	1	no	—
832	#387	—	53	1	no	—
833	#387	—	53	1	no	—
834	#387	—	53	1	no	—
835	#387	—	53	1	no	—
836	#387	—	53	1	no	—
837	#387	—	53	1	no	—
838	#387	—	53	1	no	—
839	#387	—	53	1	no	—
840	#387	—	53	1	no	—
841	#387	—	53	1	no	—
842	#387	—	53	1	no	—
843	#387	—	53	1	no	—
844	#387	—	53	1	no	—
845	#387	—	53	1	no	—
846	#387	—	53	1	no	—
847	#387	C₂×D₅₃	1	1	yes	characteristic
848	#387	C₂×D₅₃	1	1	yes	characteristic
849	#387	C₂×D₅₃	1	1	yes	characteristic
850	#387	C₂×D₅₃	1	1	yes	characteristic
851	#387	C₂×D₅₃	1	1	yes	characteristic
852	#387	C₂×D₅₃	1	1	yes	characteristic
853	#386	—	53	1	no	—
854	#386	—	53	1	no	—
855	#386	—	53	1	no	—
856	#386	—	53	1	no	—
857	#386	—	53	1	no	—
858	#386	—	53	1	no	—
859	#386	—	53	1	no	—
860	#386	—	53	1	no	—
861	#386	—	53	1	no	—
862	#386	—	53	1	no	—
863	#386	—	53	1	no	—
864	#386	—	53	1	no	—
865	#386	—	53	1	no	—
866	#386	—	53	1	no	—
867	#385	—	53	1	no	—
868	#385	—	53	1	no	—
869	#385	—	53	1	no	—
870	#385	—	53	1	no	—
871	#385	—	53	1	no	—
872	#385	—	53	1	no	—
873	#385	—	53	1	no	—
874	#385	—	53	1	no	—
875	#383	—	53	1	no	—
876	#382	—	53	1	no	—
877	#382	C₂×D₅₃	1	1	yes	characteristic
878	#381	—	53	1	no	—
879	#381	—	53	1	no	—
880	#381	—	53	1	no	—
881	#381	—	53	1	no	—
882	#380	—	53	1	no	—
883	#380	—	53	1	no	—
884	#380	—	53	1	no	—
885	C₄×C₄⋊C₄	—	53	1	no	—
886	C₄×C₄⋊C₄	—	53	1	no	—
887	C₄×C₄⋊C₄	—	53	1	no	—
888	C₄×C₂²⋊C₄	—	53	1	no	—
889	C₄×C₂²⋊C₄	—	53	1	no	—
890	C₄×C₂²⋊C₄	—	53	1	no	—
891	C₄×C₂²⋊C₄	—	53	1	no	—
892	#376	—	53	1	no	—
893	C₅₃	#36773	1	1	yes	characteristic, complemented, Sylow
894	C₂²×Q₈	—	53	1	no	—
895	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
896	C₂²×D₄	—	53	1	no	—
897	C₂²×D₄	—	53	1	no	—
898	C₂²×D₄	—	53	1	no	—
899	C₂²×D₄	—	53	1	no	—
900	C₂²×D₄	—	53	1	no	—
901	C₂²×D₄	—	53	1	no	—
902	C₂³×C₄	—	53	1	no	—
903	C₂³×C₄	—	53	1	no	—
904	C₂³×C₄	—	53	1	no	—
905	C₂³×C₄	—	53	1	no	—
906	C₂³×C₄	—	53	1	no	—
907	C₂³×C₄	—	53	1	no	—
908	#126	—	212	2	no	—
909	#124	—	212	2	no	—
910	#124	—	212	2	no	—
911	C₂²⋊Q₈	—	106	4	no	—
912	C₂²⋊Q₈	—	212	2	no	—
913	#121	—	106	4	no	—
914	C₄×D₄	—	106	4	no	—
915	#117	—	212	2	no	—
916	C₂×C₄⋊C₄	—	53	1	no	—
917	C₂×C₄⋊C₄	—	53	1	no	—
918	C₂×C₄⋊C₄	—	53	1	no	—
919	C₂×C₄⋊C₄	—	53	1	no	—
920	C₂×C₄⋊C₄	—	53	1	no	—
921	C₂×C₄⋊C₄	—	53	1	no	—
922	C₂×C₄⋊C₄	—	53	1	no	—
923	C₂×C₄⋊C₄	—	53	1	no	—
924	C₂×C₄⋊C₄	—	53	1	no	—
925	C₂×C₄⋊C₄	—	53	1	no	—
926	C₂×C₄⋊C₄	—	53	1	no	—
927	C₂×C₄⋊C₄	—	53	1	no	—
928	C₂×C₄⋊C₄	—	53	1	no	—
929	C₂×C₄⋊C₄	—	53	1	no	—
930	C₂×C₄⋊C₄	—	53	1	no	—
931	C₂×C₄⋊C₄	—	53	1	no	—
932	C₂×C₄⋊C₄	—	53	1	no	—
933	C₂×C₄⋊C₄	—	53	1	no	—
934	C₂×C₄⋊C₄	—	53	1	no	—
935	C₂×C₄⋊C₄	—	53	1	no	—
936	C₂×C₄⋊C₄	—	53	1	no	—
937	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	—	53	1	no	—
947	C₂×C₂²⋊C₄	—	53	1	no	—
948	C₂×C₂²⋊C₄	—	53	1	no	—
949	C₂×C₂²⋊C₄	—	53	1	no	—
950	C₂×C₂²⋊C₄	—	53	1	no	—
951	C₂×C₂²⋊C₄	—	53	1	no	—
952	C₂×C₂²⋊C₄	—	53	1	no	—
953	C₂×C₂²⋊C₄	—	53	1	no	—
954	C₂×C₂²⋊C₄	—	53	1	no	—
955	C₂×C₂²⋊C₄	—	53	1	no	—
956	C₂×C₂²⋊C₄	—	53	1	no	—
957	C₂×C₂²⋊C₄	—	53	1	no	—
958	C₂×C₂²⋊C₄	—	53	1	no	—
959	C₂×C₂²⋊C₄	—	53	1	no	—
960	C₂×C₂²⋊C₄	—	53	1	no	—
961	C₂×C₂²⋊C₄	—	53	1	no	—
962	C₂×C₂²⋊C₄	—	53	1	no	—
963	C₂×C₂²⋊C₄	—	53	1	no	—
964	C₂×C₂²⋊C₄	—	53	1	no	—
965	C₂×C₂²⋊C₄	—	53	1	no	—
966	C₂×C₂²⋊C₄	—	53	1	no	—
967	C₂×C₂²⋊C₄	—	53	1	no	—
968	C₂×C₂²⋊C₄	—	53	1	no	—
969	C₂×C₂²⋊C₄	—	53	1	no	—
970	C₂×C₂²⋊C₄	—	53	1	no	—
971	C₂×C₂²⋊C₄	—	53	1	no	—
972	C₂×C₂²⋊C₄	—	53	1	no	—
973	C₂×C₂²⋊C₄	—	53	1	no	—
974	C₂×C₂²⋊C₄	—	53	1	no	—
975	C₂×C₂²⋊C₄	—	53	1	no	—
976	C₂×C₂²⋊C₄	—	53	1	no	—
977	C₂×C₂²⋊C₄	—	53	1	no	—
978	C₂×C₂²⋊C₄	—	53	1	no	—
979	C₂×C₂²⋊C₄	—	53	1	no	—
980	C₂×C₂²⋊C₄	—	53	1	no	—
981	C₂×C₂²⋊C₄	—	53	1	no	—
982	C₂×C₂²⋊C₄	—	53	1	no	—
983	C₂×C₂²⋊C₄	—	53	1	no	—
984	C₂×C₂²⋊C₄	—	53	1	no	—
985	C₂×C₂²⋊C₄	—	53	1	no	—
986	C₂×C₂²⋊C₄	—	53	1	no	—
987	C₂×C₂²⋊C₄	—	53	1	no	—
988	C₂×C₄²	—	53	1	no	—
989	C₂×C₄²	—	53	1	no	—
990	C₂×C₄²	—	53	1	no	—
991	C₂×C₄²	—	53	1	no	—
992	C₂×C₄²	—	53	1	no	—
993	C₂×C₄²	—	53	1	no	—
994	C₂×C₄²	—	53	1	no	—
995	C₂×C₄²	—	53	1	no	—
996	C₂×C₄²	—	53	1	no	—
997	C₂×C₄²	—	53	1	no	—
998	C₂×C₄²	—	212	2	no	—
999	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1000	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1001	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1002	#95	—	53	1	no	—
1003	#95	—	53	1	no	—
1004	#95	—	53	1	no	—
1005	#95	—	53	1	no	—
1006	#95	—	53	1	no	—
1007	#95	—	53	1	no	—
1008	#95	—	53	1	no	—
1009	#95	—	53	1	no	—
1010	#95	—	53	1	no	—
1011	#95	—	53	1	no	—
1012	#95	—	53	1	no	—
1013	#95	—	53	1	no	—
1014	#95	—	53	1	no	—
1015	#95	—	53	1	no	—
1016	#95	—	53	1	no	—
1017	#95	—	53	1	no	—
1018	#95	—	53	1	no	—
1019	#95	—	53	1	no	—
1020	#95	—	53	1	no	—
1021	#95	—	53	1	no	—
1022	#95	—	53	1	no	—
1023	#95	—	53	1	no	—
1024	#95	—	53	1	no	—
1025	#95	—	53	1	no	—
1026	#95	—	53	1	no	—
1027	#95	—	53	1	no	—
1028	#95	—	53	1	no	—
1029	#95	—	53	1	no	—
1030	#95	—	53	1	no	—
1031	#95	—	53	1	no	—
1032	#95	—	53	1	no	—
1033	#95	—	53	1	no	—
1034	#95	—	53	1	no	—
1035	#95	—	53	1	no	—
1036	#95	C₂²×D₅₃	1	1	yes	characteristic
1037	#95	C₂²×D₅₃	1	1	yes	characteristic
1038	#95	C₂²×D₅₃	1	1	yes	characteristic
1039	#95	C₂²×D₅₃	1	1	yes	characteristic
1040	#95	C₂²×D₅₃	1	1	yes	characteristic
1041	#95	C₂²×D₅₃	1	1	yes	characteristic
1042	#95	C₂²×D₅₃	1	1	yes	characteristic
1043	#95	C₂²×D₅₃	1	1	yes	characteristic
1044	#95	C₂²×D₅₃	1	1	yes	characteristic
1045	#95	C₂²×D₅₃	1	1	yes	characteristic
1046	#95	C₂²×D₅₃	1	1	yes	characteristic
1047	#95	C₂²×D₅₃	1	1	yes	characteristic
1048	#95	C₂²×D₅₃	1	1	yes	characteristic
1049	#95	C₂²×D₅₃	1	1	yes	characteristic
1050	#95	C₂²×D₅₃	1	1	yes	characteristic
1051	#95	C₂²×D₅₃	1	1	yes	characteristic
1052	#95	C₂²×D₅₃	1	1	yes	characteristic
1053	#95	C₂²×D₅₃	1	1	yes	characteristic
1054	#95	C₂²×D₅₃	1	1	yes	characteristic
1055	#95	C₂²×D₅₃	1	1	yes	characteristic
1056	#95	C₂²×D₅₃	1	1	yes	characteristic
1057	#95	C₂²×D₅₃	1	1	yes	characteristic
1058	C₂⁴	—	53	1	no	—
1059	C₂⁴	—	53	1	no	—
1060	C₂⁴	—	53	1	no	—
1061	C₂⁴	—	53	1	no	—
1062	C₂×Q₈	—	2	2	no	—
1063	C₂×Q₈	—	4	1	no	—
1064	C₂×Q₈	—	4	1	no	—
1065	C₂×Q₈	—	106	2	no	—
1066	C₂×Q₈	—	212	1	no	—
1067	C₂×Q₈	—	212	1	no	—
1068	C₂×D₄	—	106	2	no	—
1069	C₂×D₄	—	106	2	no	—
1070	C₂×D₄	—	106	2	no	—
1071	C₂×D₄	—	106	2	no	—
1072	C₂×D₄	—	212	1	no	—
1073	C₂×D₄	—	212	1	no	—
1074	C₂×D₄	—	212	1	no	—
1075	C₂×D₄	—	212	1	no	—
1076	C₂×D₄	—	212	1	no	—
1077	C₂×D₄	—	212	1	no	—
1078	C₂×D₄	—	212	1	no	—
1079	C₂×D₄	—	212	1	no	—
1080	C₂×D₄	—	212	1	no	—
1081	C₂×D₄	—	212	1	no	—
1082	C₂×D₄	—	212	1	no	—
1083	C₂×D₄	—	212	1	no	—
1084	C₂×D₄	—	212	1	no	—
1085	C₂×D₄	—	212	1	no	—
1086	C₂²×C₄	—	53	1	no	—
1087	C₂²×C₄	—	53	1	no	—
1088	C₂²×C₄	—	53	4	no	—
1089	C₂²×C₄	—	53	1	no	—
1090	C₂²×C₄	—	53	1	no	—
1091	C₂²×C₄	—	53	1	no	—
1092	C₂²×C₄	—	53	1	no	—
1093	C₂²×C₄	—	53	1	no	—
1094	C₂²×C₄	—	53	1	no	—
1095	C₂²×C₄	—	53	1	no	—
1096	C₂²×C₄	—	53	1	no	—
1097	C₂²×C₄	—	53	1	no	—
1098	C₂²×C₄	—	53	1	no	—
1099	C₂²×C₄	—	106	2	no	—
1100	C₂²×C₄	—	106	2	no	—
1101	C₂²×C₄	—	212	1	no	—
1102	C₂²×C₄	—	212	1	no	—
1103	C₂²×C₄	—	212	1	no	—
1104	C₂²×C₄	—	212	1	no	—
1105	C₂²×C₄	—	212	1	no	—
1106	C₂²×C₄	—	212	1	no	—
1107	C₂²×C₄	—	212	1	no	—
1108	C₂²×C₄	—	212	1	no	—
1109	C₂²×C₄	—	212	1	no	—
1110	C₂²×C₄	—	212	1	no	—
1111	C₂²×C₄	—	212	1	no	—
1112	C₂²×C₄	—	212	1	no	—
1113	C₂²×C₄	—	212	1	no	—
1114	C₂²×C₄	—	212	1	no	—
1115	C₂²×C₄	—	212	1	no	—
1116	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1131	C₄⋊C₄	—	2	2	no	—
1132	C₄⋊C₄	—	2	2	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	4	1	no	—
1138	C₄⋊C₄	—	4	1	no	—
1139	C₄⋊C₄	—	4	1	no	—
1140	C₄⋊C₄	—	106	2	no	—
1141	C₄⋊C₄	—	106	2	no	—
1142	C₄⋊C₄	—	106	2	no	—
1143	C₄⋊C₄	—	106	2	no	—
1144	C₄⋊C₄	—	106	2	no	—
1145	C₄⋊C₄	—	212	1	no	—
1146	C₄⋊C₄	—	212	1	no	—
1147	C₄⋊C₄	—	212	1	no	—
1148	C₄⋊C₄	—	212	1	no	—
1149	C₄⋊C₄	—	212	1	no	—
1150	C₄⋊C₄	—	212	1	no	—
1151	C₄⋊C₄	—	212	1	no	—
1152	C₄⋊C₄	—	212	1	no	—
1153	C₄⋊C₄	—	212	1	no	—
1154	C₄⋊C₄	—	212	1	no	—
1155	C₄⋊C₄	—	212	1	no	—
1156	C₄⋊C₄	—	212	1	no	—
1157	C₄⋊C₄	—	212	1	no	—
1158	C₄⋊C₄	—	212	1	no	—
1159	C₄⋊C₄	—	212	1	no	—
1160	C₄⋊C₄	—	212	1	no	—
1161	C₂²⋊C₄	—	106	2	no	—
1162	C₂²⋊C₄	—	106	2	no	—
1163	C₂²⋊C₄	—	106	2	no	—
1164	C₂²⋊C₄	—	106	2	no	—
1165	C₂²⋊C₄	—	106	2	no	—
1166	C₂²⋊C₄	—	106	2	no	—
1167	C₂²⋊C₄	—	106	2	no	—
1168	C₂²⋊C₄	—	106	2	no	—
1169	C₂²⋊C₄	—	106	2	no	—
1170	C₂²⋊C₄	—	212	1	no	—
1171	C₂²⋊C₄	—	212	1	no	—
1172	C₂²⋊C₄	—	212	1	no	—
1173	C₂²⋊C₄	—	212	1	no	—
1174	C₂²⋊C₄	—	212	1	no	—
1175	C₂²⋊C₄	—	212	1	no	—
1176	C₂²⋊C₄	—	212	1	no	—
1177	C₂²⋊C₄	—	212	1	no	—
1178	C₂²⋊C₄	—	212	1	no	—
1179	C₂²⋊C₄	—	212	1	no	—
1180	C₂²⋊C₄	—	212	1	no	—
1181	C₂²⋊C₄	—	212	1	no	—
1182	C₂²⋊C₄	—	212	1	no	—
1183	C₂²⋊C₄	—	212	1	no	—
1184	C₂²⋊C₄	—	212	1	no	—
1185	C₂²⋊C₄	—	212	1	no	—
1186	C₂²⋊C₄	—	212	1	no	—
1187	C₂²⋊C₄	—	212	1	no	—
1188	C₂²⋊C₄	—	212	1	no	—
1189	C₂²⋊C₄	—	212	1	no	—
1190	C₂²⋊C₄	—	212	1	no	—
1191	C₂²⋊C₄	—	212	1	no	—
1192	C₂²⋊C₄	—	212	1	no	—
1193	C₂²⋊C₄	—	212	1	no	—
1194	C₂²⋊C₄	—	212	1	no	—
1195	C₂²⋊C₄	—	212	1	no	—
1196	C₂²⋊C₄	—	212	1	no	—
1197	C₂²⋊C₄	—	212	1	no	—
1198	C₂²⋊C₄	—	212	1	no	—
1199	C₂²⋊C₄	—	212	1	no	—
1200	C₂²⋊C₄	—	212	1	no	—
1201	C₂²⋊C₄	—	212	1	no	—
1202	C₂²⋊C₄	—	212	1	no	—
1203	C₄²	—	4	1	no	—
1204	C₄²	—	4	1	no	—
1205	C₄²	—	4	1	no	—
1206	C₄²	—	106	2	no	—
1207	C₄²	—	106	2	no	—
1208	C₄²	—	106	2	no	—
1209	C₄²	—	212	1	no	—
1210	C₄²	—	212	1	no	—
1211	C₄²	—	212	1	no	—
1212	C₄²	—	212	1	no	—
1213	C₄²	—	212	1	no	—
1214	C₄²	—	212	1	no	—
1215	C₄²	—	212	1	no	—
1216	C₂³	—	53	2	no	—
1217	C₂³	—	106	1	no	—
1218	C₂³	—	106	1	no	—
1219	C₂³	—	106	1	no	—
1220	C₂³	—	106	1	no	—
1221	C₂³	—	106	1	no	—
1222	C₂³	—	106	1	no	—
1223	C₂³	—	106	1	no	—
1224	C₂³	—	106	1	no	—
1225	C₂³	—	106	1	no	—
1226	C₂³	—	106	1	no	—
1227	C₂³	—	106	1	no	—
1228	C₂³	—	106	1	no	—
1229	C₂³	—	106	1	no	—
1230	C₂³	—	106	1	no	—
1231	C₂³	—	106	1	no	—
1232	C₂³	—	106	1	no	—
1233	C₂³	—	106	1	no	—
1234	C₂³	—	106	1	no	—
1235	C₂³	—	106	1	no	—
1236	C₂³	—	106	1	no	—
1237	C₂³	—	106	1	no	—
1238	C₂³	—	106	1	no	—
1239	C₂³	—	106	1	no	—
1240	C₂³	—	106	1	no	—
1241	C₂³	—	106	1	no	—
1242	C₂³	—	106	1	no	—
1243	C₂³	—	106	1	no	—
1244	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1245	Q₈	—	8	2	no	—
1246	Q₈	—	424	2	no	—
1247	D₄	—	424	2	no	—
1248	D₄	—	424	2	no	—
1249	D₄	—	424	2	no	—
1250	D₄	—	424	2	no	—
1251	D₄	—	424	2	no	—
1252	D₄	—	212	4	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	53	2	no	—
1298	C₂×C₄	—	53	2	no	—
1299	C₂×C₄	—	106	1	no	—
1300	C₂×C₄	—	106	1	no	—
1301	C₂×C₄	—	106	1	no	—
1302	C₂×C₄	—	106	1	no	—
1303	C₂×C₄	—	106	1	no	—
1304	C₂×C₄	—	106	1	no	—
1305	C₂×C₄	—	106	1	no	—
1306	C₂×C₄	—	106	1	no	—
1307	C₂×C₄	—	106	1	no	—
1308	C₂×C₄	—	106	1	no	—
1309	C₂×C₄	—	106	1	no	—
1310	C₂×C₄	—	106	1	no	—
1311	C₂×C₄	—	106	1	no	—
1312	C₂×C₄	—	106	1	no	—
1313	C₂×C₄	—	106	1	no	—
1314	C₂×C₄	—	106	1	no	—
1315	C₂×C₄	—	106	1	no	—
1316	C₂×C₄	—	106	1	no	—
1317	C₂×C₄	—	106	1	no	—
1318	C₂×C₄	—	106	1	no	—
1319	C₂×C₄	—	106	1	no	—
1320	C₂×C₄	—	106	1	no	—
1321	C₂×C₄	—	106	1	no	—
1322	C₂×C₄	—	106	1	no	—
1323	C₂×C₄	—	106	1	no	—
1324	C₂×C₄	—	106	1	no	—
1325	C₂×C₄	—	106	1	no	—
1326	C₂×C₄	—	106	1	no	—
1327	C₂×C₄	—	106	1	no	—
1328	C₂×C₄	—	106	1	no	—
1329	C₂×C₄	—	106	1	no	—
1330	C₂×C₄	—	106	1	no	—
1331	C₂×C₄	—	106	1	no	—
1332	C₂×C₄	—	106	1	no	—
1333	C₂×C₄	—	424	2	no	—
1334	C₂×C₄	—	424	2	no	—
1335	C₂×C₄	—	212	4	no	—
1336	C₂×C₄	—	212	4	no	—
1337	C₂×C₄	—	212	4	no	—
1338	C₂×C₄	—	212	4	no	—
1339	C₂×C₄	#41×D₅₃	1	2	yes	—
1340	C₂²	—	106	2	no	—
1341	C₂²	—	106	2	no	—
1342	C₂²	—	106	2	no	—
1343	C₂²	—	212	1	no	—
1344	C₂²	—	212	1	no	—
1345	C₂²	—	212	1	no	—
1346	C₂²	—	212	1	no	—
1347	C₂²	—	212	1	no	—
1348	C₂²	—	212	1	no	—
1349	C₂²	—	212	1	no	—
1350	C₂²	—	212	1	no	—
1351	C₂²	—	212	1	no	—
1352	C₂²	—	212	1	no	—
1353	C₂²	—	212	1	no	—
1354	C₂²	—	212	1	no	—
1355	C₂²	—	212	1	no	—
1356	C₂²	—	212	1	no	—
1357	C₂²	—	212	1	no	—
1358	C₂²	—	212	1	no	—
1359	C₂²	—	212	1	no	—
1360	C₂²	—	212	1	no	—
1361	C₂²	—	212	1	no	—
1362	C₂²	—	212	1	no	—
1363	C₂²	—	212	1	no	—
1364	C₂²	—	212	1	no	—
1365	C₂²	—	212	1	no	—
1366	C₂²	—	212	1	no	—
1367	C₂²	—	212	1	no	—
1368	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1369	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1370	C₂²	#16811459	1	1	yes	characteristic
1371	C₂²	#16811459	1	1	yes	characteristic
1372	C₂²	#16811460	1	1	yes	characteristic
1373	C₂²	#16811460	1	1	yes	characteristic
1374	C₂²	#16811460	1	1	yes	characteristic
1375	C₄	—	2	2	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	4	1	no	—
1390	C₄	—	106	2	no	—
1391	C₄	—	106	2	no	—
1392	C₄	—	212	1	no	—
1393	C₄	—	212	1	no	—
1394	C₄	—	212	1	no	—
1395	C₄	—	212	1	no	—
1396	C₄	—	212	1	no	—
1397	C₄	—	212	1	no	—
1398	C₄	—	212	1	no	—
1399	C₄	—	212	1	no	—
1400	C₄	—	212	1	no	—
1401	C₄	—	212	1	no	—
1402	C₂	—	424	1	no	—
1403	C₂	—	424	1	no	—
1404	C₂	—	424	1	no	—
1405	C₂	—	212	2	no	—
1406	C₂	#20288106	1	1	yes	characteristic
1407	C₂	#20288546	1	1	yes	characteristic
1408	C₂	#20288605	1	1	yes	characteristic
1409	C₂	#20288891	1	1	yes	characteristic
1410	C₂	#20288973	1	1	yes	characteristic
1411	C₂	#20289378	1	1	yes	characteristic
1412	C₂	#20289410	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅₃
commutator, socle, cosocle	C₂³×C₅₃	C₂⁵
Fitting	C₅₃×#2789	C₂
prime radical	#20280608	C₂
hypercenter	#2789	D₅₃
hypocenter	C₅₃	#36773
LCS	G ▷ C₂³×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ #2789

Complements

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

N	H ≅ G/N	type
1. #20283050	C₂	semidirect
2. #20283019	C₂	semidirect
3. #20282581	C₂	semidirect
4. #20282573	C₂	semidirect
5. #20282340	C₂	semidirect
6. #20282340	C₂	semidirect
7. #20282259	C₂	semidirect
8. #20282122	C₂	semidirect
9. #20282058	C₂	semidirect
10. #20281978	C₂	semidirect
11. #20281960	C₂	semidirect
12. #20281902	C₂	semidirect
13. #20281812	C₂	semidirect
14. #20281716	C₂	semidirect
15. #20281629	C₂	semidirect
16. #20281528	C₂	semidirect
17. #20281485	C₂	semidirect
18. #20280641	C₂	semidirect
20. #20280249	C₂	semidirect
21. #20280216	C₂	semidirect
22. #20280044	C₂	semidirect
23. #20280017	C₂	semidirect
24. #20279545	C₂	semidirect
25. #20279505	C₂	semidirect
26. #20278939	C₂	semidirect
27. #20278875	C₂	semidirect
28. #20277479	C₂	semidirect
29. #20277470	C₂	semidirect
30. #20277153	C₂	semidirect
31. C₅₃×#2789	C₂	semidirect
700. #2789	D₅₃	semidirect
893. C₅₃	#36773	semidirect

Maximal subgroups

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

subgroup	index
#20283050	2
#20283019	2
#20282581	2
#20282573	2
#20282340	2
#20282259	2
#20282122	2
#20282058	2
#20281978	2
#20281960	2
#20281902	2
#20281812	2
#20281716	2
#20281629	2
#20281528	2
#20281485	2
#20280641	2
#20280608	2
#20280249	2
#20280216	2
#20280044	2
#20280017	2
#20279545	2
#20279505	2
#20278939	2
#20278875	2
#20277479	2
#20277470	2
#20277153	2
C₅₃×#2789	2
#36773	53