Subgroups — #28292115

Order 13568.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288766	C₂	1	2	yes	maximal, complemented
2	#20288759	C₂	1	2	yes	maximal, complemented
3	#20288749	C₂	1	2	yes	maximal, complemented
4	#20288742	C₂	1	2	yes	maximal, complemented
5	#20288659	C₂	1	4	yes	maximal, complemented
6	#20288649	C₂	1	4	yes	maximal, complemented
7	#20288569	C₂	1	1	yes	maximal, characteristic, complemented
8	#20288564	C₂	1	1	yes	maximal, characteristic, complemented
9	#20288550	C₂	1	4	yes	maximal, complemented
10	#20288516	C₂	1	1	yes	maximal, characteristic, complemented
11	#20288477	C₂	1	1	yes	maximal, characteristic, complemented
12	#20288421	C₂	1	2	yes	maximal, complemented
13	#20288398	C₂	1	4	yes	maximal, complemented
14	#20288348	C₂	1	2	yes	maximal, complemented
15	#20288325	C₂	1	4	yes	maximal, complemented
16	#20288321	C₂	1	4	yes	maximal, complemented
17	#20288282	C₂	1	2	yes	maximal, complemented
18	#20288279	C₂	1	2	yes	maximal, complemented
19	#41×D₂₁₂	C₂	1	2	yes	maximal, complemented
20	#20288201	C₂	1	2	yes	maximal, complemented
21	#20288131	C₂	1	2	yes	maximal, complemented
22	#20288125	C₂	1	4	yes	maximal, complemented
23	#20288011	C₂	1	1	yes	maximal, characteristic, complemented
24	#525×D₅₃	C₂	1	4	yes	maximal, complemented
25	C₄×#13133263	C₂	1	2	yes	maximal, complemented
26	C₂²×C₄×D₂₁₂	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#13133263	C₂²	1	2	yes	—
29	C₂×#41×D₅₃	C₂²	1	4	yes	complemented
30	C₂³×D₂₁₂	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₅₃	C₂²	1	2	yes	complemented
32	#16811358	C₂²	1	4	yes	complemented
33	#16811355	C₂²	1	4	yes	complemented
34	#16811347	C₂²	1	2	yes	complemented
35	#16811346	C₂²	1	2	yes	complemented
36	#16811339	C₂²	1	2	yes	complemented
37	#16811338	C₂²	1	2	yes	complemented
38	#16811334	C₂²	1	2	yes	complemented
39	#16811333	C₂²	1	2	yes	complemented
40	#16811333	C₂²	1	4	yes	complemented
41	#16811331	C₂²	1	4	yes	complemented
42	#16811330	C₂²	1	4	yes	complemented
43	#16811329	C₂²	1	4	yes	complemented
44	#16811326	C₂²	1	4	yes	complemented
45	#16811326	C₂²	1	4	yes	complemented
46	#16811325	C₂²	1	4	yes	complemented
47	#16811324	C₂²	1	8	yes	complemented
48	#16811323	C₂²	1	4	yes	complemented
49	#16811319	C₂²	1	4	yes	complemented
50	#16811319	C₂²	1	4	yes	complemented
51	#16811317	C₂²	1	8	yes	complemented
52	#16811315	C₂²	1	4	yes	complemented
53	#16811314	C₂²	1	4	yes	complemented
54	#16811313	C₂²	1	4	yes	complemented
55	#16811311	C₂²	1	4	yes	complemented
56	#16811302	C₂²	1	8	yes	complemented
57	#16811300	C₂²	1	8	yes	complemented
58	#16811298	C₂²	1	8	yes	complemented
59	#16811297	C₂²	1	8	yes	complemented
60	#16811297	C₂²	1	8	yes	complemented
61	#16811296	C₂²	1	8	yes	complemented
62	#16811295	C₂²	1	2	yes	complemented
63	#16811293	C₂²	1	2	yes	complemented
64	Q₈×D₂₁₂	C₂²	1	2	yes	complemented
65	#16811288	C₂²	1	2	yes	complemented
66	#16811285	C₂²	1	4	yes	complemented
67	#16811281	C₂²	1	4	yes	complemented
68	#16811278	C₂²	1	2	yes	complemented
69	#16811277	C₂²	1	4	yes	complemented
70	#16811277	C₂²	1	2	yes	complemented
71	#16811276	C₂²	1	2	yes	complemented
72	#16811276	C₂²	1	2	yes	complemented
73	#16811273	C₂²	1	4	yes	complemented
74	#16811269	C₂²	1	4	yes	complemented
75	#16811269	C₂²	1	4	yes	complemented
76	#16811269	C₂²	1	4	yes	complemented
77	#16811268	C₂²	1	8	yes	complemented
78	#16811268	C₂²	1	4	yes	complemented
79	#16811266	C₂²	1	4	yes	complemented
80	#16811266	C₂²	1	4	yes	complemented
81	#16811265	C₂²	1	8	yes	complemented
82	#16811264	C₂²	1	4	yes	complemented
83	#16811264	C₂²	1	4	yes	complemented
84	#16811262	C₂²	1	8	yes	complemented
85	#16811261	C₂²	1	8	yes	complemented
86	D₄×D₂₁₂	C₂²	1	4	yes	complemented
87	D₄×D₂₁₂	C₂²	1	4	yes	complemented
88	D₄×D₂₁₂	C₂²	1	2	yes	complemented
89	#16811258	C₂²	1	2	yes	complemented
90	#16811257	C₂²	1	4	yes	complemented
91	#16811257	C₂²	1	4	yes	complemented
92	#16811251	C₂²	1	2	yes	complemented
93	#16811248	C₂²	1	4	yes	complemented
94	#16811245	C₂²	1	4	yes	complemented
95	#16811244	C₂²	1	4	yes	complemented
96	#16811228	C₂²	1	4	yes	complemented
97	#16811224	C₂²	1	4	yes	complemented
98	#16811221	C₂²	1	8	yes	complemented
99	#16811217	C₂²	1	8	yes	complemented
100	#16811214	C₂²	1	8	yes	complemented
101	#16811213	C₂²	1	4	yes	complemented
102	#16811212	C₂²	1	8	yes	complemented
103	#16811210	C₂²	1	4	yes	complemented
104	#16811207	C₂²	1	8	yes	complemented
105	#16811206	C₂²	1	8	yes	complemented
106	#16811201	C₂²	1	2	yes	complemented
107	#16811192	C₂²	1	2	yes	complemented
108	#16811187	C₂²	1	2	yes	complemented
109	#16811184	C₂²	1	8	yes	complemented
110	#16811181	C₂²	1	4	yes	complemented
111	#16811180	C₂²	1	1	yes	characteristic, complemented
112	#16811180	C₂²	1	1	yes	characteristic, complemented
113	#16811180	C₂²	1	1	yes	characteristic, complemented
114	#16811173	C₂²	1	1	yes	characteristic, complemented
115	#16811173	C₂²	1	1	yes	characteristic, complemented
116	#16811173	C₂²	1	1	yes	characteristic, complemented
117	#16811173	C₂²	1	4	yes	complemented
118	#16811170	C₂²	1	4	yes	complemented
119	#16811160	C₂²	1	8	yes	complemented
120	#16811160	C₂²	1	4	yes	complemented
121	#16811157	C₂²	1	2	yes	complemented
122	#16811157	C₂²	1	2	yes	complemented
123	#16811157	C₂²	1	2	yes	complemented
124	#16811157	C₂²	1	2	yes	complemented
125	#16811157	C₂²	1	2	yes	complemented
126	#16811157	C₂²	1	2	yes	complemented
127	#16811157	C₂²	1	4	yes	complemented
128	#16811151	C₂²	1	8	yes	complemented
129	#16811136	C₂²	1	4	yes	complemented
130	#16811136	C₂²	1	4	yes	complemented
131	#16811135	C₂²	1	4	yes	complemented
132	#16811135	C₂²	1	8	yes	complemented
133	#16811134	C₂²	1	2	yes	complemented
134	#16811134	C₂²	1	2	yes	complemented
135	#16811134	C₂²	1	2	yes	complemented
136	#16811133	C₂²	1	4	yes	complemented
137	#16811133	C₂²	1	4	yes	complemented
138	#16811132	C₂²	1	8	yes	complemented
139	#16811132	C₂²	1	8	yes	complemented
140	#16811132	C₂²	1	8	yes	complemented
141	#16811131	C₂²	1	8	yes	complemented
142	#16811130	C₂²	1	4	yes	complemented
143	#16811129	C₂²	1	8	yes	complemented
144	#123×D₅₃	C₂²	1	8	yes	complemented
145	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
146	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
147	#121×D₅₃	C₂²	1	4	yes	complemented
148	#121×D₅₃	C₂²	1	4	yes	complemented
149	#120×D₅₃	C₂²	1	8	yes	complemented
150	#16811106	C₂²	1	2	yes	complemented
151	#16811105	C₂²	1	4	yes	complemented
152	#16811103	C₂²	1	2	yes	complemented
153	#16811103	C₂²	1	4	yes	complemented
154	#16811097	C₂²	1	2	yes	—
155	#16811097	C₂²	1	4	yes	complemented
156	#16811095	C₂²	1	8	yes	complemented
157	#16811095	C₂²	1	4	yes	complemented
158	C₄×#11719949	C₂²	1	4	yes	complemented
159	C₄×#11719945	C₂²	1	2	yes	complemented
160	C₄×#11719945	C₂²	1	2	yes	complemented
161	C₄×#11719945	C₂²	1	2	yes	complemented
162	C₄×#11719945	C₂²	1	4	yes	complemented
163	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
164	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
165	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
166	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
167	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
168	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
169	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
170	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
171	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
172	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
174	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
175	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
176	C₂×C₄×D₂₁₂	C₂²	1	2	yes	complemented
177	C₂×C₄×D₂₁₂	C₂²	1	4	yes	complemented
178	C₄×D₄×D₅₃	C₂²	1	8	yes	complemented
179	C₄×D₄×D₅₃	C₂²	1	8	yes	complemented
180	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
181	#117×D₅₃	C₂²	1	4	yes	complemented
182	C₂²×C₄⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₂²×#11719921	C₂²	1	2	yes	complemented
184	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
186	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
187	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
188	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
189	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
190	C₅₃×#529	C₂²	1	2	yes	complemented
191	C₅₃×#529	C₂²	1	2	yes	complemented
192	C₅₃×#529	C₂²	1	2	yes	complemented
193	C₅₃×#529	C₂²	1	2	yes	complemented
194	C₅₃×#529	C₂²	1	2	yes	complemented
195	C₅₃×#529	C₂²	1	2	yes	complemented
196	C₅₃×#525	C₂²	1	2	yes	complemented
197	C₅₃×#525	C₂²	1	2	yes	complemented
198	C₅₃×#525	C₂²	1	2	yes	complemented
199	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
200	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
201	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
202	C₂²×C₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₅₃	C₂³	1	2	yes	—
204	#13133263	—	2	16	no	—
205	C₂×#11719949	C₂³	1	4	yes	—
206	C₂×#11719949	C₂³	1	4	yes	complemented
207	C₂×#11719945	C₂³	1	4	yes	—
208	C₂×#11719945	C₂³	1	2	yes	—
209	C₂×#11719945	C₂³	1	2	yes	—
210	C₂×#11719945	C₂³	1	2	yes	—
211	C₂×#11719945	C₂³	1	8	yes	complemented
212	C₂×#11719947	C₂³	1	8	yes	—
213	C₂×#11719947	C₂³	1	4	yes	complemented
214	#41×D₅₃	—	4	16	no	—
215	C₂×Q₈×D₅₃	C₂³	1	4	yes	complemented
216	C₂²×D₂₁₂	—	2	8	no	—
217	C₂²×D₂₁₂	C₂³	1	2	yes	—
218	C₂²×D₂₁₂	C₂³	1	2	yes	—
219	C₂²×D₂₁₂	C₂³	1	2	yes	—
220	C₂²×D₂₁₂	C₂³	1	2	yes	—
221	C₂²×D₂₁₂	C₂³	1	4	yes	—
222	C₂²×D₂₁₂	C₂³	1	2	yes	—
223	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
224	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₅₃	C₂³	1	4	yes	—
226	C₂×D₄×D₅₃	C₂³	1	8	yes	—
227	C₂×D₄×D₅₃	C₂³	1	8	yes	—
228	C₂×D₄×D₅₃	C₂³	1	8	yes	—
229	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
230	C₂³×Dic₅₃	C₂³	1	2	yes	—
231	C₂²×C₄×D₅₃	—	4	8	no	—
232	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
233	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
234	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
235	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
236	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
237	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
238	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
239	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
240	C₂²×C₄×D₅₃	C₂³	1	8	yes	complemented
241	#13133217	C₂³	1	1	yes	characteristic, complemented
242	#13133217	C₂³	1	4	yes	complemented
243	#13133217	C₂³	1	1	yes	characteristic, complemented
244	#13133217	C₂³	1	1	yes	characteristic, complemented
245	#13133216	C₂³	1	4	yes	complemented
246	#13133214	C₂³	1	4	yes	—
247	#13133214	C₂³	1	1	yes	characteristic, complemented
248	#13133213	C₂³	1	4	yes	—
249	#13133212	C₂³	1	8	yes	complemented
250	#13133212	C₂³	1	8	yes	complemented
251	#13133212	C₂³	1	8	yes	complemented
252	#13133212	C₂³	1	8	yes	complemented
253	#13133211	C₂³	1	4	yes	complemented
254	#13133211	C₂³	1	8	yes	complemented
255	#13133211	C₂³	1	4	yes	complemented
256	#13133210	C₂³	1	8	yes	complemented
257	#13133209	C₂³	1	4	yes	complemented
258	#13133209	C₂³	1	2	yes	complemented
259	#13133209	C₂³	1	2	yes	complemented
260	#13133209	C₂³	1	2	yes	complemented
261	#13133208	C₂³	1	8	yes	complemented
262	#13133208	C₂³	1	4	yes	complemented
263	#13133207	C₂³	1	8	yes	complemented
264	#13133206	C₂³	1	4	yes	—
265	#13133206	C₂³	1	8	yes	complemented
266	#13133205	C₂³	1	4	yes	—
267	#13133205	C₂³	1	2	yes	complemented
268	#13133205	C₂³	1	8	yes	complemented
269	#13133205	C₂³	1	2	yes	complemented
270	#13133205	C₂³	1	2	yes	complemented
271	#13133203	C₂³	1	8	yes	complemented
272	#13133203	C₂³	1	8	yes	complemented
273	#13133202	C₂³	1	8	yes	—
274	#13133202	C₂³	1	8	yes	—
275	#13133202	C₂³	1	8	yes	complemented
276	#13133202	C₂³	1	8	yes	complemented
277	#13133202	C₂³	1	8	yes	complemented
278	#13133202	C₂³	1	8	yes	complemented
279	#13133202	C₂³	1	8	yes	complemented
280	#13133201	C₂³	1	8	yes	—
281	#13133201	C₂³	1	8	yes	complemented
282	#13133201	C₂³	1	8	yes	complemented
283	#13133200	C₂³	1	4	yes	—
284	#13133200	C₂³	1	4	yes	—
285	#13133200	C₂³	1	4	yes	—
286	#13133200	C₂³	1	8	yes	complemented
287	#13133199	C₂³	1	8	yes	complemented
288	#13133199	C₂³	1	8	yes	complemented
289	#13133199	C₂³	1	8	yes	complemented
290	#13133199	C₂³	1	8	yes	complemented
291	#13133198	C₂³	1	8	yes	—
292	#13133197	C₂³	1	8	yes	complemented
293	#13133197	C₂³	1	4	yes	complemented
294	#13133197	C₂³	1	8	yes	complemented
295	#13133197	C₂³	1	4	yes	complemented
296	#13133196	C₂³	1	2	yes	—
297	#13133196	C₂³	1	2	yes	—
298	#13133196	C₂³	1	2	yes	—
299	#13133196	C₂³	1	2	yes	—
300	#13133196	C₂³	1	2	yes	—
301	#13133196	C₂³	1	2	yes	—
302	#13133196	C₂³	1	4	yes	complemented
303	#13133195	C₂³	1	8	yes	complemented
304	#13133195	C₂³	1	8	yes	complemented
305	#13133195	C₂³	1	8	yes	complemented
306	#13133195	C₂³	1	8	yes	complemented
307	#13133194	C₂³	1	8	yes	—
308	#13133194	C₂³	1	8	yes	—
309	#13133194	C₂³	1	8	yes	complemented
310	#13133193	C₂³	1	4	yes	complemented
311	#13133193	C₂³	1	4	yes	complemented
312	#13133193	C₂³	1	4	yes	complemented
313	#13133193	C₂³	1	8	yes	complemented
314	#13133192	C₂³	1	4	yes	—
315	#13133192	C₂³	1	8	yes	—
316	#13133192	C₂³	1	8	yes	—
317	#13133192	C₂³	1	4	yes	—
318	#13133192	C₂³	1	8	yes	complemented
319	#13133192	C₂³	1	4	yes	complemented
320	#13133192	C₂³	1	4	yes	complemented
321	#13133191	C₂³	1	2	yes	—
322	#13133191	C₂³	1	4	yes	—
323	#13133191	C₂³	1	4	yes	—
324	#13133191	C₂³	1	2	yes	—
325	#13133191	C₂³	1	2	yes	—
326	#13133191	C₂³	1	2	yes	—
327	#13133191	C₂³	1	2	yes	—
328	#13133191	C₂³	1	2	yes	—
329	#13133191	C₂³	1	8	yes	complemented
330	#13133191	C₂³	1	4	yes	complemented
331	#13133190	C₂³	1	8	yes	—
332	#13133190	C₂³	1	8	yes	—
333	#13133190	C₂³	1	8	yes	complemented
334	#13133190	C₂³	1	8	yes	complemented
335	#13133190	C₂³	1	8	yes	complemented
336	#13133189	C₂³	1	8	yes	—
337	#13133189	C₂³	1	8	yes	—
338	#13133189	C₂³	1	8	yes	complemented
339	#13133188	C₂³	1	4	yes	complemented
340	#13133188	C₂³	1	4	yes	complemented
341	#13133188	C₂³	1	4	yes	complemented
342	#13133187	C₂³	1	8	yes	—
343	#13133187	C₂³	1	8	yes	—
344	#13133187	C₂³	1	8	yes	—
345	#13133187	C₂³	1	8	yes	—
346	#13133187	C₂³	1	8	yes	—
347	#13133187	C₂³	1	8	yes	complemented
348	#13133186	C₂³	1	4	yes	—
349	#13133185	C₂³	1	8	yes	—
350	#13133185	C₂³	1	8	yes	—
351	#13133185	C₂³	1	8	yes	—
352	#13133185	C₂³	1	8	yes	complemented
353	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
354	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
355	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
356	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
357	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
358	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
359	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
360	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
361	C₄×D₂₁₂	C₂³	1	2	yes	—
362	C₄×D₂₁₂	C₂³	1	4	yes	—
363	C₄×D₂₁₂	C₂³	1	4	yes	—
364	C₄×D₂₁₂	C₂³	1	2	yes	—
365	C₄×D₂₁₂	C₂³	1	4	yes	—
366	C₄×D₂₁₂	C₂³	1	4	yes	—
367	C₄×D₂₁₂	C₂³	1	2	yes	—
368	C₄×D₂₁₂	C₂³	1	2	yes	—
369	C₄×D₂₁₂	C₂³	1	2	yes	—
370	C₄×D₂₁₂	C₂³	1	2	yes	—
371	C₄×D₂₁₂	C₂³	1	4	yes	—
372	C₄×D₂₁₂	C₂³	1	4	yes	—
373	C₄×D₂₁₂	C₂³	1	2	yes	—
374	C₄×D₂₁₂	C₂³	1	2	yes	—
375	C₄×D₂₁₂	C₂³	1	2	yes	—
376	C₄×D₂₁₂	C₂³	1	2	yes	—
377	C₄×D₂₁₂	C₂³	1	2	yes	—
378	C₄×D₂₁₂	C₂³	1	2	yes	—
379	C₄×D₂₁₂	C₂³	1	4	yes	—
380	C₄×D₂₁₂	C₂³	1	4	yes	—
381	C₄×D₂₁₂	C₂³	1	2	yes	—
382	C₄×D₂₁₂	C₂³	1	2	yes	—
383	C₄×D₂₁₂	C₂³	1	4	yes	—
384	C₄×D₂₁₂	C₂³	1	4	yes	—
385	C₄×D₂₁₂	C₂³	1	2	yes	—
386	C₄×D₂₁₂	C₂³	1	2	yes	—
387	C₄×D₂₁₂	C₂³	1	2	yes	complemented
388	C₄×D₂₁₂	C₂³	1	2	yes	complemented
389	C₄×D₂₁₂	C₂³	1	8	yes	complemented
390	C₄×D₂₁₂	C₂³	1	2	yes	complemented
391	C₄×D₂₁₂	C₂³	1	4	yes	complemented
392	C₄×D₂₁₂	C₂³	1	8	yes	complemented
393	C₄×D₂₁₂	C₂³	1	8	yes	complemented
394	C₄×D₂₁₂	C₂³	1	2	yes	complemented
395	C₄×D₂₁₂	C₂³	1	2	yes	complemented
396	C₄×D₂₁₂	C₂³	1	2	yes	complemented
397	D₄×Dic₅₃	C₂³	1	8	yes	—
398	D₄×Dic₅₃	C₂³	1	8	yes	—
399	D₄×Dic₅₃	C₂³	1	4	yes	complemented
400	#13133179	C₂³	1	4	yes	—
401	#13133179	C₂³	1	4	yes	—
402	#13133179	C₂³	1	8	yes	complemented
403	#13133179	C₂³	1	8	yes	complemented
404	#13133179	C₂³	1	8	yes	complemented
405	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
406	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
407	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
408	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
409	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
410	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
411	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
412	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
413	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
414	#13133177	C₂³	1	8	yes	—
415	#13133177	C₂³	1	8	yes	—
416	#13133177	C₂³	1	8	yes	complemented
417	#13133177	C₂³	1	8	yes	complemented
418	#13133177	C₂³	1	8	yes	complemented
419	#13133176	C₂³	1	2	yes	—
420	#13133176	C₂³	1	2	yes	—
421	#13133176	C₂³	1	2	yes	—
422	#13133176	C₂³	1	4	yes	complemented
423	#13133175	C₂³	1	8	yes	complemented
424	#13133175	C₂³	1	4	yes	complemented
425	#13133175	C₂³	1	4	yes	complemented
426	#13133175	C₂³	1	4	yes	complemented
427	#13133174	C₂³	1	8	yes	complemented
428	#13133174	C₂³	1	4	yes	complemented
429	#13133174	C₂³	1	8	yes	complemented
430	#13133174	C₂³	1	4	yes	complemented
431	#13133174	C₂³	1	4	yes	complemented
432	#13133173	C₂³	1	8	yes	—
433	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
434	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
435	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
436	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
437	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
438	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
439	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
440	C₂×C₄⋊Dic₅₃	C₂³	1	4	yes	complemented
441	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
442	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
443	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
444	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
445	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
446	C₂×#11719921	C₂³	1	4	yes	—
447	C₂×#11719921	C₂³	1	4	yes	—
448	C₂×#11719921	C₂³	1	4	yes	—
449	C₂×#11719921	C₂³	1	4	yes	—
450	C₂×#11719921	C₂³	1	2	yes	—
451	C₂×#11719921	C₂³	1	2	yes	—
452	C₂×#11719921	C₂³	1	2	yes	—
453	C₂×#11719921	C₂³	1	2	yes	—
454	C₂×#11719921	C₂³	1	8	yes	complemented
455	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
456	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
457	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
458	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
459	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
460	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
461	C₄²×D₅₃	C₂³	1	8	yes	complemented
462	C₄²×D₅₃	C₂³	1	4	yes	complemented
463	C₂×#41×C₅₃	C₂³	1	2	yes	—
464	C₂×#41×C₅₃	C₂³	1	2	yes	—
465	C₂×#41×C₅₃	C₂³	1	2	yes	—
466	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
467	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
468	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
469	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
470	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
471	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
472	#127×C₅₃	C₂³	1	1	yes	characteristic, complemented
473	#126×C₅₃	C₂³	1	4	yes	complemented
474	#126×C₅₃	C₂³	1	4	yes	complemented
475	#125×C₅₃	C₂³	1	2	yes	complemented
476	#125×C₅₃	C₂³	1	2	yes	complemented
477	#125×C₅₃	C₂³	1	2	yes	complemented
478	#124×C₅₃	C₂³	1	2	yes	complemented
479	#124×C₅₃	C₂³	1	2	yes	complemented
480	#124×C₅₃	C₂³	1	2	yes	complemented
481	#123×C₅₃	C₂³	1	4	yes	—
482	#123×C₅₃	C₂³	1	4	yes	—
483	#123×C₅₃	C₂³	1	4	yes	—
484	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
485	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
486	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
487	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
488	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
489	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
490	#121×C₅₃	C₂³	1	2	yes	—
491	#121×C₅₃	C₂³	1	2	yes	—
492	#121×C₅₃	C₂³	1	2	yes	—
493	#121×C₅₃	C₂³	1	2	yes	—
494	#121×C₅₃	C₂³	1	2	yes	—
495	#121×C₅₃	C₂³	1	2	yes	—
496	#120×C₅₃	C₂³	1	4	yes	—
497	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
498	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
499	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
500	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
501	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
502	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
503	C₄×D₄×C₅₃	C₂³	1	4	yes	—
504	C₄×D₄×C₅₃	C₂³	1	4	yes	—
505	C₄×D₄×C₅₃	C₂³	1	4	yes	—
506	C₄×D₄×C₅₃	C₂³	1	4	yes	—
507	C₄×D₄×C₅₃	C₂³	1	4	yes	—
508	C₄×D₄×C₅₃	C₂³	1	4	yes	—
509	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
510	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
511	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
512	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
513	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
514	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
515	#117×C₅₃	C₂³	1	2	yes	—
516	#117×C₅₃	C₂³	1	2	yes	—
517	#117×C₅₃	C₂³	1	2	yes	—
518	#117×C₅₃	C₂³	1	4	yes	complemented
519	#117×C₅₃	C₂³	1	4	yes	complemented
520	#117×C₅₃	C₂³	1	4	yes	complemented
521	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
529	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
530	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
531	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
532	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
533	C₂×C₄²×C₅₃	C₂³	1	4	yes	complemented
534	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
535	C₂³×D₅₃	—	2	8	no	—
536	C₂³×D₅₃	—	4	4	no	—
537	C₂³×D₅₃	—	4	4	no	—
538	C₂³×D₅₃	C₂⁴	1	4	yes	—
539	C₂³×D₅₃	C₂⁴	1	4	yes	—
540	C₂³×D₅₃	C₂⁴	1	8	yes	—
541	C₂³×D₅₃	C₂⁴	1	2	yes	—
542	C₂³×D₅₃	C₂⁴	1	2	yes	—
543	#41×C₅₃	—	2	8	no	—
544	#41×C₅₃	—	2	8	no	—
545	#41×C₅₃	—	4	4	no	—
546	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
548	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
549	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
550	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
551	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
552	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
553	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
554	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
555	C₂²×C₄×C₅₃	—	2	4	no	—
556	C₂²×C₄×C₅₃	—	2	4	no	—
557	C₂²×C₄×C₅₃	—	4	2	no	—
558	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
571	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
572	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
577	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
580	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
581	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
582	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
583	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
584	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
585	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
586	C₂²×Dic₅₃	—	4	4	no	—
587	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
588	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
589	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
590	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
591	C₂²×Dic₅₃	C₂⁴	1	8	yes	—
592	#11719949	—	2	16	no	—
593	#11719949	—	4	8	no	—
594	Q₈×D₅₃	—	4	8	no	—
595	#11719947	—	4	8	no	—
596	#11719947	—	4	16	no	—
597	D₄×D₅₃	—	2	32	no	—
598	D₄×D₅₃	—	2	16	no	—
599	D₄×D₅₃	—	4	8	no	—
600	D₄×D₅₃	—	4	16	no	—
601	D₄×D₅₃	—	4	16	no	—
602	#11719945	—	2	8	no	—
603	#11719945	—	2	8	no	—
604	#11719945	—	2	16	no	—
605	#11719945	—	4	16	no	—
606	#11719945	—	4	4	no	—
607	C₂×D₂₁₂	—	2	8	no	—
608	C₂×D₂₁₂	—	2	4	no	—
609	C₂×D₂₁₂	—	2	8	no	—
610	C₂×D₂₁₂	—	2	8	no	—
611	C₂×D₂₁₂	—	2	8	no	—
612	C₂×D₂₁₂	—	2	8	no	—
613	C₂×D₂₁₂	—	2	16	no	—
614	C₂×D₂₁₂	#41	1	8	yes	complemented
615	C₂×D₂₁₂	C₂⁴	1	8	yes	—
616	C₂×D₂₁₂	C₂⁴	1	4	yes	—
617	C₂×D₂₁₂	C₂⁴	1	4	yes	—
618	C₂×D₂₁₂	C₂⁴	1	2	yes	—
619	C₂×D₂₁₂	C₂⁴	1	2	yes	—
620	C₂×D₂₁₂	C₂⁴	1	2	yes	—
621	C₂×D₂₁₂	C₂⁴	1	2	yes	—
622	C₂×D₂₁₂	C₂⁴	1	8	yes	—
623	C₂×D₂₁₂	C₂⁴	1	2	yes	—
624	C₂×D₂₁₂	C₂⁴	1	8	yes	—
625	C₂×D₂₁₂	C₂⁴	1	2	yes	—
626	C₂×D₂₁₂	C₂⁴	1	2	yes	—
627	C₂×C₄×D₅₃	—	2	16	no	—
628	C₂×C₄×D₅₃	—	4	4	no	—
629	C₂×C₄×D₅₃	—	4	8	no	—
630	C₂×C₄×D₅₃	—	4	4	no	—
631	C₂×C₄×D₅₃	—	4	4	no	—
632	C₂×C₄×D₅₃	—	4	8	no	—
633	C₂×C₄×D₅₃	—	4	4	no	—
634	C₂×C₄×D₅₃	—	4	16	no	—
635	C₂×C₄×D₅₃	—	4	8	no	—
636	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
637	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
638	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
639	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
640	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
641	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
642	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
643	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
644	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
645	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
646	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
647	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
648	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
649	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
650	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
651	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
652	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
653	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
654	C₂×Dic₁₀₆	C₂⁴	1	8	yes	—
655	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
656	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
657	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
658	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
659	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
660	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
661	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
662	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
663	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
665	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
666	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
667	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
668	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
669	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
670	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
671	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
672	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
673	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
674	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
675	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
676	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
677	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
678	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
679	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
680	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
681	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
682	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
683	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
684	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
685	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
686	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
687	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
688	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
689	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
690	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
691	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
692	C₄²×C₅₃	C₂⁴	1	4	yes	—
693	C₄²×C₅₃	C₂⁴	1	4	yes	—
694	C₄²×C₅₃	C₂⁴	1	4	yes	—
695	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
696	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
697	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
698	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
699	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
700	#11719921	C₂⁴	1	8	yes	—
701	#11719921	C₂⁴	1	8	yes	—
702	#11719921	C₂⁴	1	8	yes	—
703	#11719921	C₂⁴	1	8	yes	—
704	#11719921	C₂⁴	1	8	yes	—
705	#11719921	C₂⁴	1	8	yes	—
706	#11719921	C₂⁴	1	4	yes	—
707	#11719921	C₂⁴	1	4	yes	—
708	#11719921	C₂⁴	1	4	yes	—
709	#11719921	C₂⁴	1	8	yes	—
710	#11719921	C₂⁴	1	8	yes	—
711	#11719921	C₂⁴	1	4	yes	—
712	#11719921	C₂⁴	1	4	yes	—
713	#11719921	C₂⁴	1	4	yes	—
714	#11719921	C₂⁴	1	4	yes	—
715	#11719921	C₂⁴	1	4	yes	—
716	#11719921	C₂⁴	1	4	yes	—
717	#11719921	C₂⁴	1	4	yes	—
718	#11719921	C₂⁴	1	4	yes	—
719	#11719921	C₂⁴	1	4	yes	—
720	#11719921	C₂⁴	1	4	yes	—
721	#11719921	C₂⁴	1	4	yes	—
722	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
723	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
724	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
725	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
726	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
727	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
728	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
729	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
730	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
731	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
732	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
733	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
734	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
735	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
736	#11719919	C₂⁴	1	8	yes	—
737	#11719919	C₂⁴	1	4	yes	—
738	#11719919	C₂⁴	1	4	yes	—
739	#11719919	C₂⁴	1	8	yes	—
740	#11719919	C₂⁴	1	8	yes	—
741	#11719919	C₂⁴	1	8	yes	—
742	#11719919	C₂⁴	1	4	yes	—
743	#11719919	C₂⁴	1	4	yes	—
744	#11719919	C₂⁴	1	4	yes	—
745	#11719919	C₂⁴	1	4	yes	—
746	C₄×Dic₅₃	C₂⁴	1	4	yes	—
747	C₄×Dic₅₃	C₂⁴	1	8	yes	—
748	C₄×Dic₅₃	C₂⁴	1	8	yes	—
749	C₄×Dic₅₃	C₂⁴	1	4	yes	—
750	C₄×Dic₅₃	C₂⁴	1	4	yes	—
751	C₂³×C₅₃	—	2	2	no	—
752	C₂³×C₅₃	—	2	2	no	—
753	C₂³×C₅₃	—	2	2	no	—
754	C₂³×C₅₃	C₂⁵	1	4	yes	—
755	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
756	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
757	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
758	C₂²×D₅₃	—	2	4	no	—
759	C₂²×D₅₃	—	2	8	no	—
760	C₂²×D₅₃	—	2	8	no	—
761	C₂²×D₅₃	—	2	8	no	—
762	C₂²×D₅₃	—	2	8	no	—
763	C₂²×D₅₃	—	2	16	no	—
764	C₂²×D₅₃	—	4	2	no	—
765	C₂²×D₅₃	—	4	4	no	—
766	C₂²×D₅₃	—	4	2	no	—
767	C₂²×D₅₃	—	4	2	no	—
768	C₂²×D₅₃	—	4	4	no	—
769	C₂²×D₅₃	—	4	2	no	—
770	C₂²×D₅₃	—	4	8	no	—
771	C₂²×D₅₃	—	4	8	no	—
772	C₂²×D₅₃	—	4	32	no	—
773	C₂²×D₅₃	C₂×#41	1	8	yes	complemented
774	C₂²×D₅₃	C₂⁵	1	4	yes	—
775	C₂²×D₅₃	C₂⁵	1	4	yes	—
776	C₂²×D₅₃	C₂⁵	1	4	yes	—
777	Q₈×C₅₃	—	2	4	no	—
778	Q₈×C₅₃	—	2	4	no	—
779	Q₈×C₅₃	—	4	2	no	—
780	D₄×C₅₃	—	2	8	no	—
781	D₄×C₅₃	—	2	8	no	—
782	D₄×C₅₃	—	2	8	no	—
783	D₄×C₅₃	—	2	4	no	—
784	D₄×C₅₃	—	2	4	no	—
785	D₄×C₅₃	—	4	2	no	—
786	C₂×C₄×C₅₃	—	2	2	no	—
787	C₂×C₄×C₅₃	—	2	2	no	—
788	C₂×C₄×C₅₃	—	2	2	no	—
789	C₂×C₄×C₅₃	—	2	2	no	—
790	C₂×C₄×C₅₃	—	2	2	no	—
791	C₂×C₄×C₅₃	—	2	2	no	—
792	C₂×C₄×C₅₃	—	2	2	no	—
793	C₂×C₄×C₅₃	—	2	2	no	—
794	C₂×C₄×C₅₃	—	2	8	no	—
795	C₂×C₄×C₅₃	—	2	2	no	—
796	C₂×C₄×C₅₃	—	2	2	no	—
797	C₂×C₄×C₅₃	—	2	2	no	—
798	C₂×C₄×C₅₃	—	2	2	no	—
799	C₂×C₄×C₅₃	—	2	8	no	—
800	C₂×C₄×C₅₃	—	4	1	no	—
801	C₂×C₄×C₅₃	—	4	1	no	—
802	C₂×C₄×C₅₃	—	4	1	no	—
803	C₂×C₄×C₅₃	—	4	1	no	—
804	C₂×C₄×C₅₃	—	4	4	no	—
805	C₂×C₄×C₅₃	C₂×#41	1	4	yes	complemented
806	C₂×C₄×C₅₃	H(5,𝔽₂)	1	4	yes	complemented
807	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
808	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
809	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
810	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
811	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
812	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
813	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
814	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
815	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
816	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
817	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
818	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
819	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
820	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
821	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
822	C₂²⋊D₅₃	—	2	8	no	—
823	C₂²⋊D₅₃	—	2	8	no	—
824	C₂²⋊D₅₃	—	2	8	no	—
825	C₂²⋊D₅₃	—	2	16	no	—
826	C₂²⋊D₅₃	—	4	8	no	—
827	C₂²⋊D₅₃	—	4	8	no	—
828	C₂²⋊D₅₃	—	4	8	no	—
829	C₂×Dic₅₃	—	2	8	no	—
830	C₂×Dic₅₃	—	4	2	no	—
831	C₂×Dic₅₃	—	4	4	no	—
832	C₂×Dic₅₃	—	4	2	no	—
833	C₂×Dic₅₃	—	4	8	no	—
834	C₂×Dic₅₃	C₂⁵	1	4	yes	—
835	C₂×Dic₅₃	C₂⁵	1	4	yes	—
836	C₂×Dic₅₃	C₂⁵	1	4	yes	—
837	C₂×Dic₅₃	C₂⁵	1	4	yes	—
838	C₂×Dic₅₃	C₂⁵	1	4	yes	—
839	D₂₁₂	—	2	8	no	—
840	D₂₁₂	—	2	8	no	—
841	D₂₁₂	—	2	16	no	—
842	D₂₁₂	—	2	4	no	—
843	D₂₁₂	—	2	4	no	—
844	D₂₁₂	—	2	4	no	—
845	D₂₁₂	—	2	4	no	—
846	D₂₁₂	—	4	2	no	—
847	D₂₁₂	—	4	8	no	—
848	D₂₁₂	—	4	8	no	—
849	D₂₁₂	C₂×#41	1	8	yes	complemented
850	D₂₁₂	C₂×#41	1	8	yes	complemented
851	C₄×D₅₃	—	2	16	no	—
852	C₄×D₅₃	—	2	8	no	—
853	C₄×D₅₃	—	2	8	no	—
854	C₄×D₅₃	—	2	8	no	—
855	C₄×D₅₃	—	2	8	no	—
856	C₄×D₅₃	—	2	8	no	—
857	C₄×D₅₃	—	2	8	no	—
858	C₄×D₅₃	—	4	4	no	—
859	C₄×D₅₃	—	4	4	no	—
860	C₄×D₅₃	—	4	4	no	—
861	C₄×D₅₃	—	4	4	no	—
862	C₄×D₅₃	—	4	8	no	—
863	C₄×D₅₃	—	4	8	no	—
864	C₄×D₅₃	—	4	4	no	—
865	C₄×D₅₃	—	4	8	no	—
866	Dic₁₀₆	—	2	4	no	—
867	Dic₁₀₆	—	2	4	no	—
868	Dic₁₀₆	—	4	2	no	—
869	Dic₁₀₆	—	4	8	no	—
870	#62773	—	53	1	no	maximal, Sylow
871	C₂²×C₅₃	—	2	8	no	—
872	C₂²×C₅₃	—	2	1	no	—
873	C₂²×C₅₃	—	2	1	no	—
874	C₂²×C₅₃	—	2	1	no	—
875	C₂²×C₅₃	—	2	1	no	—
876	C₂²×C₅₃	—	2	1	no	—
877	C₂²×C₅₃	—	2	1	no	—
878	C₂²×C₅₃	—	2	4	no	—
879	C₂²×C₅₃	—	2	4	no	—
880	C₂²×C₅₃	—	2	4	no	—
881	C₂²×C₅₃	C₂²×#41	1	2	yes	—
882	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
883	C₂²×C₅₃	#585	1	2	yes	—
884	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
885	C₂×D₅₃	—	2	4	no	—
886	C₂×D₅₃	—	2	4	no	—
887	C₂×D₅₃	—	2	4	no	—
888	C₂×D₅₃	—	2	4	no	—
889	C₂×D₅₃	—	2	4	no	—
890	C₂×D₅₃	—	2	4	no	—
891	C₂×D₅₃	—	2	4	no	—
892	C₂×D₅₃	—	2	4	no	—
893	C₂×D₅₃	—	4	8	no	—
894	C₂×D₅₃	—	4	16	no	—
895	C₂×D₅₃	—	4	16	no	—
896	C₂×D₅₃	—	4	8	no	—
897	C₂×D₅₃	—	8	16	no	—
898	C₂×D₅₃	C₂²×#41	1	8	yes	—
899	C₄×C₅₃	—	2	4	no	—
900	C₄×C₅₃	—	2	1	no	—
901	C₄×C₅₃	—	2	1	no	—
902	C₄×C₅₃	—	2	4	no	—
903	C₄×C₅₃	—	2	1	no	—
904	C₄×C₅₃	—	2	1	no	—
905	C₄×C₅₃	—	2	1	no	—
906	C₄×C₅₃	—	2	1	no	—
907	C₄×C₅₃	—	2	4	no	—
908	C₄×C₅₃	—	2	1	no	—
909	C₄×C₅₃	—	2	1	no	—
910	C₄×C₅₃	C₂²×#41	1	2	yes	—
911	C₄×C₅₃	C₂²×#41	1	2	yes	—
912	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
913	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
914	Dic₅₃	—	2	4	no	—
915	Dic₅₃	—	2	4	no	—
916	Dic₅₃	—	2	4	no	—
917	Dic₅₃	—	2	4	no	—
918	Dic₅₃	—	2	4	no	—
919	#3520	—	53	2	no	—
920	#3520	—	53	2	no	—
921	#3519	—	53	2	no	—
922	#3519	—	53	2	no	—
923	#3513	—	53	4	no	—
924	#3513	—	53	4	no	—
925	#3506	—	53	1	no	—
926	#3506	—	53	1	no	—
927	#3505	—	53	4	no	—
928	#3501	—	53	1	no	—
929	#3496	—	53	1	no	—
930	#3492	—	53	2	no	—
931	#3490	—	53	4	no	—
932	#3484	—	53	2	no	—
933	#3481	—	53	4	no	—
934	#3481	—	53	4	no	—
935	#3475	—	53	2	no	—
936	#3475	—	53	2	no	—
937	D₄×#41	—	53	2	no	—
938	D₄×#41	—	53	2	no	—
939	#3460	—	53	2	no	—
940	#3459	—	53	4	no	—
941	#3444	—	53	1	no	—
942	#3444	D₅₃	1	1	yes	characteristic, complemented
943	C₂×#525	—	53	4	no	—
944	C₄×H(5,𝔽₂)	—	53	2	no	—
945	C₂²×C₄×D₄	—	53	1	no	—
946	C₂×C₅₃	—	2	2	no	—
947	C₂×C₅₃	—	2	2	no	—
948	C₂×C₅₃	—	2	2	no	—
949	C₂×C₅₃	—	4	4	no	—
950	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
951	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
952	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
953	D₅₃	—	2	8	no	—
954	D₅₃	—	4	4	no	—
955	D₅₃	—	4	4	no	—
956	C₂×H(5,𝔽₂)	—	53	2	no	—
957	C₂²×#41	—	53	4	no	—
958	C₂³×D₄	—	53	1	no	—
959	C₂⁴×C₄	—	53	2	no	—
960	#559	—	53	4	no	—
961	#559	—	53	4	no	—
962	#556	—	53	2	no	—
963	#556	—	53	2	no	—
964	#555	—	53	2	no	—
965	#555	—	53	2	no	—
966	#554	—	53	2	no	—
967	#554	—	53	4	no	—
968	#554	—	53	4	no	—
969	#554	—	53	2	no	—
970	#554	—	53	4	no	—
971	#554	—	53	4	no	—
972	#553	—	53	8	no	—
973	#553	—	53	4	no	—
974	#553	—	53	4	no	—
975	#553	—	53	4	no	—
976	#553	—	53	4	no	—
977	#553	—	53	4	no	—
978	#553	—	53	4	no	—
979	#553	—	53	8	no	—
980	#552	—	53	4	no	—
981	#552	—	53	4	no	—
982	#552	—	53	4	no	—
983	#552	—	53	4	no	—
984	#551	—	53	8	no	—
985	#551	—	53	8	no	—
986	#551	—	53	8	no	—
987	#551	—	53	8	no	—
988	#551	—	53	8	no	—
989	#551	—	53	8	no	—
990	#550	—	53	2	no	—
991	#550	—	53	2	no	—
992	D₄×Q₈	—	53	2	no	—
993	D₄×Q₈	—	53	2	no	—
994	#548	—	53	4	no	—
995	#548	—	53	4	no	—
996	#547	—	53	2	no	—
997	#547	—	53	2	no	—
998	#547	—	53	4	no	—
999	#547	—	53	4	no	—
1000	#547	—	53	2	no	—
1001	#547	—	53	2	no	—
1002	#546	—	53	8	no	—
1003	#546	—	53	4	no	—
1004	#546	—	53	4	no	—
1005	#546	—	53	8	no	—
1006	#546	—	53	4	no	—
1007	#546	—	53	4	no	—
1008	#546	—	53	8	no	—
1009	#546	—	53	8	no	—
1010	#546	—	53	4	no	—
1011	#546	—	53	4	no	—
1012	#546	—	53	4	no	—
1013	#546	—	53	4	no	—
1014	D₄²	—	53	2	no	—
1015	D₄²	—	53	4	no	—
1016	D₄²	—	53	4	no	—
1017	D₄²	—	53	4	no	—
1018	D₄²	—	53	4	no	—
1019	D₄²	—	53	2	no	—
1020	#544	—	53	2	no	—
1021	#543	—	53	4	no	—
1022	#542	—	53	4	no	—
1023	#542	—	53	4	no	—
1024	#540	—	53	4	no	—
1025	#540	—	53	4	no	—
1026	#539	—	53	8	no	—
1027	#539	—	53	8	no	—
1028	#539	—	53	8	no	—
1029	#538	—	53	8	no	—
1030	#538	—	53	8	no	—
1031	#538	—	53	4	no	—
1032	#538	—	53	4	no	—
1033	#538	—	53	8	no	—
1034	#537	—	53	2	no	—
1035	#535	—	53	2	no	—
1036	#535	—	53	2	no	—
1037	#534	—	53	8	no	—
1038	#534	—	53	4	no	—
1039	#533	—	53	1	no	—
1040	#533	—	53	1	no	—
1041	#533	—	53	1	no	—
1042	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1043	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1044	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1045	#532	—	53	4	no	—
1046	#532	—	53	1	no	—
1047	#532	—	53	1	no	—
1048	#532	—	53	1	no	—
1049	#532	—	53	4	no	—
1050	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1051	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1052	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1053	#529	—	53	8	no	—
1054	#529	—	53	4	no	—
1055	#529	—	53	8	no	—
1056	#529	—	53	2	no	—
1057	#529	—	53	2	no	—
1058	#529	—	53	2	no	—
1059	#529	—	53	2	no	—
1060	#529	—	53	2	no	—
1061	#529	—	53	2	no	—
1062	#529	—	53	4	no	—
1063	#529	C₂×D₅₃	1	2	yes	complemented
1064	#529	C₂×D₅₃	1	2	yes	complemented
1065	#529	C₂×D₅₃	1	2	yes	complemented
1066	#529	C₂×D₅₃	1	2	yes	complemented
1067	#529	C₂×D₅₃	1	2	yes	complemented
1068	#529	C₂×D₅₃	1	2	yes	complemented
1069	#525	—	53	4	no	—
1070	#525	—	53	2	no	—
1071	#525	—	53	2	no	—
1072	#525	—	53	2	no	—
1073	#525	—	53	8	no	—
1074	#525	—	53	4	no	—
1075	#525	—	53	4	no	—
1076	#525	—	53	4	no	—
1077	#525	—	53	4	no	—
1078	#525	—	53	8	no	—
1079	#525	—	53	8	no	—
1080	#525	—	53	8	no	—
1081	#525	—	53	8	no	—
1082	#525	—	53	4	no	—
1083	#525	—	53	8	no	—
1084	#525	C₂×D₅₃	1	2	yes	complemented
1085	#525	C₂×D₅₃	1	2	yes	complemented
1086	#525	C₂×D₅₃	1	2	yes	complemented
1087	C₂×#123	—	53	8	no	—
1088	C₂×C₂²⋊Q₈	—	53	4	no	—
1089	C₂×C₂²⋊Q₈	—	53	4	no	—
1090	C₂×#121	—	53	4	no	—
1091	C₂×#121	—	53	4	no	—
1092	C₂×#120	—	53	8	no	—
1093	#520	—	53	2	no	—
1094	#520	—	53	4	no	—
1095	#520	—	53	2	no	—
1096	#520	—	53	4	no	—
1097	#518	—	53	8	no	—
1098	#518	—	53	4	no	—
1099	#518	—	53	2	no	—
1100	#518	—	53	4	no	—
1101	C₄×#41	—	53	4	no	—
1102	C₄×#41	—	53	2	no	—
1103	C₄×#41	—	53	2	no	—
1104	C₄×#41	—	53	2	no	—
1105	C₄×#41	—	53	4	no	—
1106	C₄×#41	C₂×D₅₃	1	2	yes	complemented
1107	C₄×#41	C₂×D₅₃	1	2	yes	complemented
1108	C₄×#41	C₂×D₅₃	1	2	yes	complemented
1109	C₂×C₄×D₄	—	53	8	no	—
1110	C₂×C₄×D₄	—	53	8	no	—
1111	C₂×C₄×D₄	—	53	4	no	—
1112	C₂×C₄×D₄	—	53	1	no	—
1113	C₂×C₄×D₄	—	53	1	no	—
1114	C₂×C₄×D₄	—	53	2	no	—
1115	C₂×C₄×D₄	—	53	1	no	—
1116	C₂×C₄×D₄	—	53	2	no	—
1117	C₂×C₄×D₄	—	53	2	no	—
1118	C₂×C₄×D₄	—	53	2	no	—
1119	C₂×C₄×D₄	—	53	2	no	—
1120	C₂×C₄×D₄	—	53	2	no	—
1121	C₂×C₄×D₄	—	53	1	no	—
1122	C₂×C₄×D₄	—	53	2	no	—
1123	C₂×C₄×D₄	—	53	2	no	—
1124	C₂×C₄×D₄	—	53	2	no	—
1125	C₂×C₄×D₄	—	53	2	no	—
1126	C₂×C₄×D₄	—	53	4	no	—
1127	C₂×#117	—	53	4	no	—
1128	C₂²×C₄⋊C₄	—	53	1	no	—
1129	C₂²×C₂²⋊C₄	—	53	2	no	—
1130	C₂²×C₄²	C₂×D₅₃	1	1	yes	characteristic, complemented
1131	C₅₃	#62773	1	1	yes	characteristic, complemented, Sylow
1132	C₂⁵	—	53	2	no	—
1133	H(5,𝔽₂)	—	106	16	no	—
1134	C₂×#41	—	53	4	no	—
1135	C₂×#41	—	53	4	no	—
1136	C₂×#41	—	53	8	no	—
1137	C₂×#41	—	53	4	no	—
1138	C₂×#41	—	53	2	no	—
1139	C₂×#41	—	53	4	no	—
1140	C₂×#41	—	53	2	no	—
1141	C₂×#41	—	53	2	no	—
1142	C₂×#41	—	53	8	no	—
1143	C₂×#41	—	212	16	no	—
1144	C₂×#41	C₂²×D₅₃	1	2	yes	—
1145	C₂×#41	C₂²×D₅₃	1	2	yes	—
1146	C₂×#41	C₂²×D₅₃	1	2	yes	—
1147	C₂²×Q₈	—	53	4	no	—
1148	C₂²×D₄	—	53	8	no	—
1149	C₂²×D₄	—	53	4	no	—
1150	C₂²×D₄	—	53	8	no	—
1151	C₂²×D₄	—	53	8	no	—
1152	C₂²×D₄	—	53	4	no	—
1153	C₂²×D₄	—	53	1	no	—
1154	C₂²×D₄	—	53	2	no	—
1155	C₂²×D₄	—	53	1	no	—
1156	C₂²×D₄	—	53	2	no	—
1157	C₂²×D₄	—	53	2	no	—
1158	C₂²×D₄	—	53	2	no	—
1159	C₂²×D₄	—	53	2	no	—
1160	C₂²×D₄	—	53	4	no	—
1161	C₂²×D₄	—	106	8	no	—
1162	C₂³×C₄	—	53	2	no	—
1163	C₂³×C₄	—	53	4	no	—
1164	C₂³×C₄	—	53	2	no	—
1165	C₂³×C₄	—	53	4	no	—
1166	C₂³×C₄	—	53	8	no	—
1167	C₂³×C₄	—	53	2	no	—
1168	C₂³×C₄	—	53	4	no	—
1169	C₂³×C₄	—	53	4	no	—
1170	C₂³×C₄	—	53	2	no	—
1171	C₂³×C₄	—	53	2	no	—
1172	C₂³×C₄	—	212	8	no	—
1173	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1174	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1175	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1176	C₄⋊Q₈	—	53	4	no	—
1177	C₄⋊Q₈	—	53	1	no	—
1178	C₄⋊Q₈	—	53	1	no	—
1179	C₄⋊Q₈	—	53	1	no	—
1180	C₄⋊Q₈	—	53	4	no	—
1181	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1182	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1183	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1184	#127	—	53	4	no	—
1185	#127	—	53	1	no	—
1186	#127	—	53	4	no	—
1187	#127	C₂²×D₅₃	1	1	yes	characteristic, complemented
1188	#126	—	53	8	no	—
1189	#126	—	53	8	no	—
1190	#126	—	53	8	no	—
1191	#126	—	53	8	no	—
1192	#126	—	53	8	no	—
1193	#126	—	53	4	no	—
1194	#126	—	53	4	no	—
1195	#126	—	53	8	no	—
1196	#126	C₂²×D₅₃	1	4	yes	complemented
1197	#126	C₂²×D₅₃	1	4	yes	complemented
1198	#125	—	53	8	no	—
1199	#125	—	53	8	no	—
1200	#125	—	53	4	no	—
1201	#125	—	53	2	no	—
1202	#125	—	53	2	no	—
1203	#125	—	53	2	no	—
1204	#125	—	53	4	no	—
1205	#125	C₂²×D₅₃	1	2	yes	complemented
1206	#125	C₂²×D₅₃	1	2	yes	complemented
1207	#125	C₂²×D₅₃	1	2	yes	complemented
1208	#124	—	53	4	no	—
1209	#124	—	53	8	no	—
1210	#124	—	53	8	no	—
1211	#124	—	53	8	no	—
1212	#124	—	53	2	no	—
1213	#124	—	53	2	no	—
1214	#124	—	53	2	no	—
1215	#124	—	53	4	no	—
1216	#124	—	53	8	no	—
1217	#124	C₂²×D₅₃	1	2	yes	complemented
1218	#124	C₂²×D₅₃	1	2	yes	complemented
1219	#124	C₂²×D₅₃	1	2	yes	complemented
1220	#123	—	53	8	no	—
1221	#123	—	53	4	no	—
1222	#123	—	53	4	no	—
1223	#123	—	53	4	no	—
1224	#123	—	53	8	no	—
1225	#123	—	53	8	no	—
1226	#123	—	53	8	no	—
1227	#123	—	53	8	no	—
1228	#123	—	53	8	no	—
1229	#123	—	53	8	no	—
1230	#123	—	53	8	no	—
1231	#123	—	53	8	no	—
1232	#123	—	53	8	no	—
1233	#123	—	53	8	no	—
1234	#123	—	53	8	no	—
1235	#123	—	53	8	no	—
1236	#123	—	53	8	no	—
1237	#123	—	53	8	no	—
1238	#123	—	53	8	no	—
1239	#123	C₂²×D₅₃	1	4	yes	—
1240	#123	C₂²×D₅₃	1	4	yes	—
1241	#123	C₂²×D₅₃	1	4	yes	—
1242	C₂²⋊Q₈	—	53	4	no	—
1243	C₂²⋊Q₈	—	53	4	no	—
1244	C₂²⋊Q₈	—	53	4	no	—
1245	C₂²⋊Q₈	—	53	8	no	—
1246	C₂²⋊Q₈	—	53	2	no	—
1247	C₂²⋊Q₈	—	53	2	no	—
1248	C₂²⋊Q₈	—	53	2	no	—
1249	C₂²⋊Q₈	—	53	2	no	—
1250	C₂²⋊Q₈	—	53	2	no	—
1251	C₂²⋊Q₈	—	53	2	no	—
1252	C₂²⋊Q₈	—	53	4	no	—
1253	C₂²⋊Q₈	—	53	8	no	—
1254	C₂²⋊Q₈	—	53	4	no	—
1255	C₂²⋊Q₈	—	53	4	no	—
1256	C₂²⋊Q₈	—	53	8	no	—
1257	C₂²⋊Q₈	—	53	8	no	—
1258	C₂²⋊Q₈	—	53	8	no	—
1259	C₂²⋊Q₈	—	53	8	no	—
1260	C₂²⋊Q₈	—	53	8	no	—
1261	C₂²⋊Q₈	—	53	8	no	—
1262	C₂²⋊Q₈	—	53	8	no	—
1263	C₂²⋊Q₈	—	53	8	no	—
1264	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1265	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1266	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1267	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1268	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1269	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1270	#121	—	53	8	no	—
1271	#121	—	53	4	no	—
1272	#121	—	53	8	no	—
1273	#121	—	53	4	no	—
1274	#121	—	53	8	no	—
1275	#121	—	53	4	no	—
1276	#121	—	53	2	no	—
1277	#121	—	53	2	no	—
1278	#121	—	53	2	no	—
1279	#121	—	53	2	no	—
1280	#121	—	53	2	no	—
1281	#121	—	53	2	no	—
1282	#121	—	53	4	no	—
1283	#121	—	53	4	no	—
1284	#121	—	53	4	no	—
1285	#121	—	53	8	no	—
1286	#121	—	53	4	no	—
1287	#121	—	53	4	no	—
1288	#121	—	53	8	no	—
1289	#121	—	53	8	no	—
1290	#121	—	53	8	no	—
1291	#121	—	53	4	no	—
1292	#121	—	53	4	no	—
1293	#121	—	53	8	no	—
1294	#121	—	53	8	no	—
1295	#121	—	53	8	no	—
1296	#121	—	53	8	no	—
1297	#121	—	53	8	no	—
1298	#121	C₂²×D₅₃	1	2	yes	—
1299	#121	C₂²×D₅₃	1	2	yes	—
1300	#121	C₂²×D₅₃	1	2	yes	—
1301	#121	C₂²×D₅₃	1	2	yes	—
1302	#121	C₂²×D₅₃	1	2	yes	—
1303	#121	C₂²×D₅₃	1	2	yes	—
1304	#120	—	53	4	no	—
1305	#120	—	53	8	no	—
1306	#120	—	53	8	no	—
1307	#120	—	53	8	no	—
1308	#120	—	53	8	no	—
1309	#120	—	53	8	no	—
1310	#120	—	53	8	no	—
1311	#120	—	53	8	no	—
1312	#120	—	53	8	no	—
1313	#120	—	53	8	no	—
1314	#120	—	53	8	no	—
1315	#120	C₂²×D₅₃	1	4	yes	—
1316	C₄×Q₈	—	53	4	no	—
1317	C₄×Q₈	—	53	2	no	—
1318	C₄×Q₈	—	53	2	no	—
1319	C₄×Q₈	—	53	4	no	—
1320	C₄×Q₈	—	53	2	no	—
1321	C₄×Q₈	—	53	2	no	—
1322	C₄×Q₈	—	53	2	no	—
1323	C₄×Q₈	—	53	2	no	—
1324	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1325	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1326	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1327	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1328	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1329	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1330	C₄×D₄	—	53	8	no	—
1331	C₄×D₄	—	53	4	no	—
1332	C₄×D₄	—	53	8	no	—
1333	C₄×D₄	—	53	4	no	—
1334	C₄×D₄	—	53	4	no	—
1335	C₄×D₄	—	53	8	no	—
1336	C₄×D₄	—	53	8	no	—
1337	C₄×D₄	—	53	4	no	—
1338	C₄×D₄	—	53	8	no	—
1339	C₄×D₄	—	53	4	no	—
1340	C₄×D₄	—	53	4	no	—
1341	C₄×D₄	—	53	4	no	—
1342	C₄×D₄	—	53	8	no	—
1343	C₄×D₄	—	53	4	no	—
1344	C₄×D₄	—	53	8	no	—
1345	C₄×D₄	—	53	4	no	—
1346	C₄×D₄	—	53	8	no	—
1347	C₄×D₄	—	53	8	no	—
1348	C₄×D₄	—	53	8	no	—
1349	C₄×D₄	—	53	8	no	—
1350	C₄×D₄	—	53	8	no	—
1351	C₄×D₄	—	53	8	no	—
1352	C₄×D₄	—	53	2	no	—
1353	C₄×D₄	—	53	2	no	—
1354	C₄×D₄	—	53	2	no	—
1355	C₄×D₄	—	53	2	no	—
1356	C₄×D₄	—	53	4	no	—
1357	C₄×D₄	—	53	4	no	—
1358	C₄×D₄	—	53	2	no	—
1359	C₄×D₄	—	53	2	no	—
1360	C₄×D₄	—	53	4	no	—
1361	C₄×D₄	—	53	4	no	—
1362	C₄×D₄	—	53	2	no	—
1363	C₄×D₄	—	53	2	no	—
1364	C₄×D₄	—	53	2	no	—
1365	C₄×D₄	—	53	2	no	—
1366	C₄×D₄	—	53	2	no	—
1367	C₄×D₄	—	53	2	no	—
1368	C₄×D₄	—	53	4	no	—
1369	C₄×D₄	—	53	4	no	—
1370	C₄×D₄	—	53	2	no	—
1371	C₄×D₄	—	53	2	no	—
1372	C₄×D₄	—	53	4	no	—
1373	C₄×D₄	—	53	4	no	—
1374	C₄×D₄	—	53	2	no	—
1375	C₄×D₄	—	53	2	no	—
1376	C₄×D₄	—	53	8	no	—
1377	C₄×D₄	—	53	2	no	—
1378	C₄×D₄	—	53	4	no	—
1379	C₄×D₄	—	53	8	no	—
1380	C₄×D₄	—	53	4	no	—
1381	C₄×D₄	—	53	8	no	—
1382	C₄×D₄	—	53	2	no	—
1383	C₄×D₄	—	53	4	no	—
1384	C₄×D₄	—	53	2	no	—
1385	C₄×D₄	—	53	2	no	—
1386	C₄×D₄	—	53	2	no	—
1387	C₄×D₄	—	53	2	no	—
1388	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1389	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1390	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1391	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1392	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1393	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1394	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1395	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1396	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1397	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1398	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1399	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1400	#117	—	53	2	no	—
1401	#117	—	53	2	no	—
1402	#117	—	53	4	no	—
1403	#117	—	53	2	no	—
1404	#117	—	53	4	no	—
1405	#117	—	53	4	no	—
1406	#117	—	53	8	no	—
1407	#117	—	53	4	no	—
1408	#117	—	53	8	no	—
1409	#117	—	53	8	no	—
1410	#117	—	53	4	no	—
1411	#117	—	53	8	no	—
1412	#117	—	53	4	no	—
1413	#117	—	53	4	no	—
1414	#117	C₂²×D₅₃	1	2	yes	—
1415	#117	C₂²×D₅₃	1	2	yes	—
1416	#117	C₂²×D₅₃	1	2	yes	—
1417	#117	C₂²×D₅₃	1	4	yes	complemented
1418	#117	C₂²×D₅₃	1	4	yes	complemented
1419	#117	C₂²×D₅₃	1	4	yes	complemented
1420	C₂×C₄⋊C₄	—	53	1	no	—
1421	C₂×C₄⋊C₄	—	53	1	no	—
1422	C₂×C₄⋊C₄	—	53	2	no	—
1423	C₂×C₄⋊C₄	—	53	2	no	—
1424	C₂×C₄⋊C₄	—	53	2	no	—
1425	C₂×C₄⋊C₄	—	53	2	no	—
1426	C₂×C₄⋊C₄	—	53	2	no	—
1427	C₂×C₄⋊C₄	—	53	4	no	—
1428	C₂×C₄⋊C₄	—	53	4	no	—
1429	C₂×C₄⋊C₄	—	53	4	no	—
1430	C₂×C₄⋊C₄	—	53	8	no	—
1431	C₂×C₄⋊C₄	—	53	4	no	—
1432	C₂×C₄⋊C₄	—	53	8	no	—
1433	C₂×C₂²⋊C₄	—	53	2	no	—
1434	C₂×C₂²⋊C₄	—	53	2	no	—
1435	C₂×C₂²⋊C₄	—	53	2	no	—
1436	C₂×C₂²⋊C₄	—	53	2	no	—
1437	C₂×C₂²⋊C₄	—	53	4	no	—
1438	C₂×C₂²⋊C₄	—	53	4	no	—
1439	C₂×C₂²⋊C₄	—	53	4	no	—
1440	C₂×C₂²⋊C₄	—	53	4	no	—
1441	C₂×C₂²⋊C₄	—	53	8	no	—
1442	C₂×C₂²⋊C₄	—	53	8	no	—
1443	C₂×C₂²⋊C₄	—	53	8	no	—
1444	C₂×C₂²⋊C₄	—	53	8	no	—
1445	C₂×C₂²⋊C₄	—	53	8	no	—
1446	C₂×C₂²⋊C₄	—	53	8	no	—
1447	C₂×C₂²⋊C₄	—	53	8	no	—
1448	C₂×C₄²	—	53	8	no	—
1449	C₂×C₄²	—	53	4	no	—
1450	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1451	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1452	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1453	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1454	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1455	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1456	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1457	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1458	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1459	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1460	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1461	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1462	C₂×C₄²	C₂²×D₅₃	1	4	yes	complemented
1463	C₂⁴	—	53	2	no	—
1464	C₂⁴	—	53	4	no	—
1465	C₂⁴	—	53	4	no	—
1466	C₂⁴	—	53	8	no	—
1467	C₂⁴	—	53	2	no	—
1468	C₂⁴	—	106	8	no	—
1469	C₂⁴	—	212	4	no	—
1470	C₂⁴	—	212	4	no	—
1471	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1472	#41	—	2	8	no	—
1473	#41	—	2	8	no	—
1474	#41	—	4	4	no	—
1475	#41	—	106	16	no	—
1476	#41	—	106	16	no	—
1477	#41	—	106	8	no	—
1478	#41	—	106	8	no	—
1479	#41	—	212	16	no	—
1480	#41	—	212	4	no	—
1481	#41	—	212	16	no	—
1482	#41	—	212	8	no	—
1483	#41	—	212	8	no	—
1484	C₂×Q₈	—	53	2	no	—
1485	C₂×Q₈	—	53	2	no	—
1486	C₂×Q₈	—	53	2	no	—
1487	C₂×Q₈	—	53	8	no	—
1488	C₂×Q₈	—	212	8	no	—
1489	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1490	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1491	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1492	C₂×D₄	—	53	8	no	—
1493	C₂×D₄	—	53	4	no	—
1494	C₂×D₄	—	53	4	no	—
1495	C₂×D₄	—	53	4	no	—
1496	C₂×D₄	—	53	8	no	—
1497	C₂×D₄	—	53	8	no	—
1498	C₂×D₄	—	53	8	no	—
1499	C₂×D₄	—	53	8	no	—
1500	C₂×D₄	—	53	2	no	—
1501	C₂×D₄	—	53	2	no	—
1502	C₂×D₄	—	53	8	no	—
1503	C₂×D₄	—	53	4	no	—
1504	C₂×D₄	—	53	4	no	—
1505	C₂×D₄	—	53	2	no	—
1506	C₂×D₄	—	53	2	no	—
1507	C₂×D₄	—	53	2	no	—
1508	C₂×D₄	—	53	2	no	—
1509	C₂×D₄	—	53	2	no	—
1510	C₂×D₄	—	53	8	no	—
1511	C₂×D₄	—	53	8	no	—
1512	C₂×D₄	—	106	8	no	—
1513	C₂×D₄	—	106	8	no	—
1514	C₂×D₄	—	106	8	no	—
1515	C₂×D₄	—	106	8	no	—
1516	C₂×D₄	—	106	16	no	—
1517	C₂×D₄	—	106	8	no	—
1518	C₂×D₄	—	106	16	no	—
1519	C₂×D₄	—	106	32	no	—
1520	C₂×D₄	—	106	4	no	—
1521	C₂×D₄	—	212	8	no	—
1522	C₂×D₄	—	212	16	no	—
1523	C₂×D₄	—	212	16	no	—
1524	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1525	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1526	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1527	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1528	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1529	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1530	C₂²×C₄	—	2	4	no	—
1531	C₂²×C₄	—	2	4	no	—
1532	C₂²×C₄	—	4	2	no	—
1533	C₂²×C₄	—	53	4	no	—
1534	C₂²×C₄	—	53	2	no	—
1535	C₂²×C₄	—	53	4	no	—
1536	C₂²×C₄	—	53	2	no	—
1537	C₂²×C₄	—	53	8	no	—
1538	C₂²×C₄	—	53	8	no	—
1539	C₂²×C₄	—	53	4	no	—
1540	C₂²×C₄	—	53	4	no	—
1541	C₂²×C₄	—	53	4	no	—
1542	C₂²×C₄	—	53	4	no	—
1543	C₂²×C₄	—	53	4	no	—
1544	C₂²×C₄	—	53	4	no	—
1545	C₂²×C₄	—	53	8	no	—
1546	C₂²×C₄	—	53	4	no	—
1547	C₂²×C₄	—	53	4	no	—
1548	C₂²×C₄	—	53	4	no	—
1549	C₂²×C₄	—	53	8	no	—
1550	C₂²×C₄	—	53	8	no	—
1551	C₂²×C₄	—	53	4	no	—
1552	C₂²×C₄	—	53	4	no	—
1553	C₂²×C₄	—	106	16	no	—
1554	C₂²×C₄	—	212	4	no	—
1555	C₂²×C₄	—	212	8	no	—
1556	C₂²×C₄	—	212	4	no	—
1557	C₂²×C₄	—	212	8	no	—
1558	C₂²×C₄	—	212	4	no	—
1559	C₂²×C₄	—	212	4	no	—
1560	C₂²×C₄	—	212	16	no	—
1561	C₂²×C₄	—	212	8	no	—
1562	C₂²×C₄	—	212	4	no	—
1563	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1564	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1565	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1566	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1567	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1568	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1569	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1570	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1574	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1575	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1576	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1577	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1578	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1579	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1580	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1581	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1582	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1583	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1584	C₄⋊C₄	—	53	2	no	—
1585	C₄⋊C₄	—	53	2	no	—
1586	C₄⋊C₄	—	53	2	no	—
1587	C₄⋊C₄	—	53	2	no	—
1588	C₄⋊C₄	—	53	4	no	—
1589	C₄⋊C₄	—	53	4	no	—
1590	C₄⋊C₄	—	53	2	no	—
1591	C₄⋊C₄	—	53	2	no	—
1592	C₄⋊C₄	—	53	2	no	—
1593	C₄⋊C₄	—	53	8	no	—
1594	C₄⋊C₄	—	53	4	no	—
1595	C₄⋊C₄	—	53	4	no	—
1596	C₄⋊C₄	—	53	8	no	—
1597	C₄⋊C₄	—	53	8	no	—
1598	C₄⋊C₄	—	53	8	no	—
1599	C₄⋊C₄	—	53	8	no	—
1600	C₄⋊C₄	—	53	8	no	—
1601	C₄⋊C₄	—	53	2	no	—
1602	C₄⋊C₄	—	53	4	no	—
1603	C₄⋊C₄	—	53	4	no	—
1604	C₄⋊C₄	—	53	4	no	—
1605	C₄⋊C₄	—	53	4	no	—
1606	C₄⋊C₄	—	53	2	no	—
1607	C₄⋊C₄	—	53	2	no	—
1608	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1609	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1610	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1611	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1612	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1613	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1614	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1615	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1616	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1617	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1618	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1619	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1620	C₂²⋊C₄	—	53	4	no	—
1621	C₂²⋊C₄	—	53	4	no	—
1622	C₂²⋊C₄	—	53	4	no	—
1623	C₂²⋊C₄	—	53	8	no	—
1624	C₂²⋊C₄	—	53	8	no	—
1625	C₂²⋊C₄	—	53	4	no	—
1626	C₂²⋊C₄	—	53	4	no	—
1627	C₂²⋊C₄	—	53	4	no	—
1628	C₂²⋊C₄	—	53	4	no	—
1629	C₂²⋊C₄	—	53	4	no	—
1630	C₂²⋊C₄	—	53	4	no	—
1631	C₂²⋊C₄	—	53	4	no	—
1632	C₂²⋊C₄	—	53	4	no	—
1633	C₂²⋊C₄	—	53	8	no	—
1634	C₂²⋊C₄	—	53	8	no	—
1635	C₂²⋊C₄	—	53	4	no	—
1636	C₂²⋊C₄	—	53	4	no	—
1637	C₂²⋊C₄	—	53	8	no	—
1638	C₂²⋊C₄	—	53	4	no	—
1639	C₂²⋊C₄	—	53	8	no	—
1640	C₂²⋊C₄	—	53	8	no	—
1641	C₂²⋊C₄	—	53	8	no	—
1642	C₂²⋊C₄	—	53	8	no	—
1643	C₂²⋊C₄	—	53	8	no	—
1644	C₂²⋊C₄	—	53	4	no	—
1645	C₂²⋊C₄	—	53	4	no	—
1646	C₂²⋊C₄	—	53	4	no	—
1647	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1648	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1649	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1650	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1651	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1652	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1653	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1654	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1655	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1656	C₄²	—	53	8	no	—
1657	C₄²	—	53	8	no	—
1658	C₄²	—	53	4	no	—
1659	C₄²	—	53	4	no	—
1660	C₄²	—	53	4	no	—
1661	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1662	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1663	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1664	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1665	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1666	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1667	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1668	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1669	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1670	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1671	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1672	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1673	C₄²	C₂³×D₅₃	1	4	yes	—
1674	C₄²	C₂³×D₅₃	1	4	yes	—
1675	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1676	C₄²	C₂³×D₅₃	1	4	yes	—
1677	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1678	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1679	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1680	C₂³	—	2	2	no	—
1681	C₂³	—	2	2	no	—
1682	C₂³	—	2	2	no	—
1683	C₂³	—	53	4	no	—
1684	C₂³	—	53	8	no	—
1685	C₂³	—	53	4	no	—
1686	C₂³	—	53	4	no	—
1687	C₂³	—	106	16	no	—
1688	C₂³	—	106	8	no	—
1689	C₂³	—	106	8	no	—
1690	C₂³	—	106	4	no	—
1691	C₂³	—	106	8	no	—
1692	C₂³	—	106	8	no	—
1693	C₂³	—	212	8	no	—
1694	C₂³	—	212	8	no	—
1695	C₂³	—	212	2	no	—
1696	C₂³	—	212	4	no	—
1697	C₂³	—	212	2	no	—
1698	C₂³	—	212	2	no	—
1699	C₂³	—	212	4	no	—
1700	C₂³	—	212	2	no	—
1701	C₂³	—	212	32	no	—
1702	C₂³	C₂⁴×D₅₃	1	4	yes	—
1703	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1704	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1705	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1706	Q₈	—	2	4	no	—
1707	Q₈	—	2	4	no	—
1708	Q₈	—	4	2	no	—
1709	Q₈	—	106	4	no	—
1710	Q₈	—	106	4	no	—
1711	Q₈	—	212	8	no	—
1712	Q₈	—	212	2	no	—
1713	D₄	—	2	8	no	—
1714	D₄	—	2	8	no	—
1715	D₄	—	2	8	no	—
1716	D₄	—	2	4	no	—
1717	D₄	—	2	4	no	—
1718	D₄	—	4	2	no	—
1719	D₄	—	53	8	no	—
1720	D₄	—	53	8	no	—
1721	D₄	—	106	8	no	—
1722	D₄	—	106	8	no	—
1723	D₄	—	106	16	no	—
1724	D₄	—	106	16	no	—
1725	D₄	—	106	8	no	—
1726	D₄	—	106	8	no	—
1727	D₄	—	106	8	no	—
1728	D₄	—	106	4	no	—
1729	D₄	—	106	4	no	—
1730	D₄	—	106	4	no	—
1731	D₄	—	106	4	no	—
1732	D₄	—	212	8	no	—
1733	D₄	—	212	8	no	—
1734	D₄	—	212	2	no	—
1735	D₄	—	212	8	no	—
1736	D₄	—	212	8	no	—
1737	D₄	—	212	8	no	—
1738	C₂×C₄	—	2	2	no	—
1739	C₂×C₄	—	2	2	no	—
1740	C₂×C₄	—	2	2	no	—
1741	C₂×C₄	—	2	2	no	—
1742	C₂×C₄	—	2	2	no	—
1743	C₂×C₄	—	2	2	no	—
1744	C₂×C₄	—	2	2	no	—
1745	C₂×C₄	—	2	2	no	—
1746	C₂×C₄	—	2	8	no	—
1747	C₂×C₄	—	2	2	no	—
1748	C₂×C₄	—	2	2	no	—
1749	C₂×C₄	—	2	2	no	—
1750	C₂×C₄	—	2	2	no	—
1751	C₂×C₄	—	2	8	no	—
1752	C₂×C₄	—	4	1	no	—
1753	C₂×C₄	—	4	1	no	—
1754	C₂×C₄	—	4	1	no	—
1755	C₂×C₄	—	4	1	no	—
1756	C₂×C₄	—	4	4	no	—
1757	C₂×C₄	—	53	4	no	—
1758	C₂×C₄	—	53	4	no	—
1759	C₂×C₄	—	53	4	no	—
1760	C₂×C₄	—	53	4	no	—
1761	C₂×C₄	—	53	4	no	—
1762	C₂×C₄	—	106	16	no	—
1763	C₂×C₄	—	106	8	no	—
1764	C₂×C₄	—	106	8	no	—
1765	C₂×C₄	—	106	8	no	—
1766	C₂×C₄	—	106	8	no	—
1767	C₂×C₄	—	106	8	no	—
1768	C₂×C₄	—	106	8	no	—
1769	C₂×C₄	—	106	8	no	—
1770	C₂×C₄	—	212	4	no	—
1771	C₂×C₄	—	212	4	no	—
1772	C₂×C₄	—	212	4	no	—
1773	C₂×C₄	—	212	4	no	—
1774	C₂×C₄	—	212	8	no	—
1775	C₂×C₄	—	212	8	no	—
1776	C₂×C₄	—	212	8	no	—
1777	C₂×C₄	—	212	4	no	—
1778	C₂×C₄	—	212	2	no	—
1779	C₂×C₄	—	212	4	no	—
1780	C₂×C₄	—	212	2	no	—
1781	C₂×C₄	—	212	8	no	—
1782	C₂×C₄	#41×D₅₃	1	4	yes	complemented
1783	C₂×C₄	#13133263	1	4	yes	complemented
1784	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1785	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1786	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1787	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1788	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1789	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1790	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1791	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1792	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1793	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1794	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1795	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1796	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1797	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1798	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1799	C₂²	—	2	8	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	4	no	—
1807	C₂²	—	2	4	no	—
1808	C₂²	—	2	4	no	—
1809	C₂²	—	53	8	no	—
1810	C₂²	—	106	4	no	—
1811	C₂²	—	106	4	no	—
1812	C₂²	—	106	4	no	—
1813	C₂²	—	106	4	no	—
1814	C₂²	—	106	4	no	—
1815	C₂²	—	106	4	no	—
1816	C₂²	—	106	4	no	—
1817	C₂²	—	106	4	no	—
1818	C₂²	—	424	16	no	—
1819	C₂²	—	212	8	no	—
1820	C₂²	—	212	16	no	—
1821	C₂²	—	212	16	no	—
1822	C₂²	—	212	8	no	—
1823	C₂²	C₂×#41×D₅₃	1	2	yes	—
1824	C₂²	C₂×#13133263	1	2	yes	—
1825	C₂²	#16811459	1	2	yes	—
1826	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1827	C₄	—	2	1	no	—
1828	C₄	—	2	1	no	—
1829	C₄	—	2	4	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	2	4	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	2	4	no	—
1838	C₄	—	106	4	no	—
1839	C₄	—	106	4	no	—
1840	C₄	—	106	4	no	—
1841	C₄	—	106	4	no	—
1842	C₄	—	106	4	no	—
1843	C₄	C₂×#41×D₅₃	1	2	yes	—
1844	C₄	C₂×#41×D₅₃	1	2	yes	—
1845	C₄	C₂×#13133263	1	2	yes	—
1846	C₄	C₂×#13133263	1	2	yes	—
1847	C₂	—	2	2	no	—
1848	C₂	—	2	2	no	—
1849	C₂	—	2	2	no	—
1850	C₂	—	4	4	no	—
1851	C₂	—	106	8	no	—
1852	C₂	—	212	4	no	—
1853	C₂	—	212	4	no	—
1854	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
1855	C₂	C₂²×#13133263	1	1	yes	characteristic
1856	C₂	C₂×#16811459	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₅₃×#3444	C₂
hypercenter	#3444	D₅₃
hypocenter	C₅₃	#62773
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #3444

Complements

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

N	H ≅ G/N	type
1. #20288766	C₂	semidirect
2. #20288759	C₂	semidirect
3. #20288749	C₂	semidirect
4. #20288742	C₂	semidirect
5. #20288659	C₂	semidirect
6. #20288649	C₂	semidirect
7. #20288569	C₂	semidirect
8. #20288564	C₂	semidirect
9. #20288550	C₂	semidirect
10. #20288516	C₂	semidirect
11. #20288477	C₂	semidirect
12. #20288421	C₂	semidirect
13. #20288398	C₂	semidirect
14. #20288348	C₂	semidirect
15. #20288325	C₂	semidirect
16. #20288321	C₂	semidirect
17. #20288282	C₂	semidirect
18. #20288279	C₂	semidirect
19. #41×D₂₁₂	C₂	semidirect
20. #20288201	C₂	semidirect
21. #20288131	C₂	semidirect
22. #20288125	C₂	semidirect
23. #20288011	C₂	semidirect
24. #525×D₅₃	C₂	semidirect
25. C₄×#13133263	C₂	semidirect
26. C₂²×C₄×D₂₁₂	C₂	semidirect
27. C₅₃×#3444	C₂	semidirect
29. C₂×#41×D₅₃	C₂²	semidirect
31. C₂³×C₄×D₅₃	C₂²	semidirect
32. #16811358	C₂²	semidirect
33. #16811355	C₂²	semidirect
34. #16811347	C₂²	semidirect
35. #16811346	C₂²	semidirect
36. #16811339	C₂²	semidirect
37. #16811338	C₂²	semidirect
38. #16811334	C₂²	semidirect
39. #16811333	C₂²	semidirect
40. #16811333	C₂²	semidirect
41. #16811331	C₂²	semidirect
42. #16811330	C₂²	semidirect
43. #16811329	C₂²	semidirect
44. #16811326	C₂²	semidirect
45. #16811326	C₂²	semidirect
46. #16811325	C₂²	semidirect
47. #16811324	C₂²	semidirect
48. #16811323	C₂²	semidirect
49. #16811319	C₂²	semidirect
50. #16811319	C₂²	semidirect
51. #16811317	C₂²	semidirect
52. #16811315	C₂²	semidirect
53. #16811314	C₂²	semidirect
54. #16811313	C₂²	semidirect
55. #16811311	C₂²	semidirect
56. #16811302	C₂²	semidirect
57. #16811300	C₂²	semidirect
58. #16811298	C₂²	semidirect
59. #16811297	C₂²	semidirect
60. #16811297	C₂²	semidirect
61. #16811296	C₂²	semidirect
62. #16811295	C₂²	semidirect
63. #16811293	C₂²	semidirect
64. Q₈×D₂₁₂	C₂²	semidirect
65. #16811288	C₂²	semidirect
66. #16811285	C₂²	semidirect
67. #16811281	C₂²	semidirect
68. #16811278	C₂²	semidirect
69. #16811277	C₂²	semidirect
70. #16811277	C₂²	semidirect
71. #16811276	C₂²	semidirect
72. #16811276	C₂²	semidirect
73. #16811273	C₂²	semidirect
74. #16811269	C₂²	semidirect
75. #16811269	C₂²	semidirect
76. #16811269	C₂²	semidirect
77. #16811268	C₂²	semidirect
78. #16811268	C₂²	semidirect
79. #16811266	C₂²	semidirect
80. #16811266	C₂²	semidirect
81. #16811265	C₂²	semidirect
82. #16811264	C₂²	semidirect
83. #16811264	C₂²	semidirect
84. #16811262	C₂²	semidirect
85. #16811261	C₂²	semidirect
86. D₄×D₂₁₂	C₂²	semidirect
87. D₄×D₂₁₂	C₂²	semidirect
88. D₄×D₂₁₂	C₂²	semidirect
89. #16811258	C₂²	semidirect
90. #16811257	C₂²	semidirect
91. #16811257	C₂²	semidirect
92. #16811251	C₂²	semidirect
93. #16811248	C₂²	semidirect
94. #16811245	C₂²	semidirect
95. #16811244	C₂²	semidirect
96. #16811228	C₂²	semidirect
97. #16811224	C₂²	semidirect
98. #16811221	C₂²	semidirect
99. #16811217	C₂²	semidirect
100. #16811214	C₂²	semidirect
101. #16811213	C₂²	semidirect
102. #16811212	C₂²	semidirect
103. #16811210	C₂²	semidirect
104. #16811207	C₂²	semidirect
105. #16811206	C₂²	semidirect
106. #16811201	C₂²	semidirect
107. #16811192	C₂²	semidirect
108. #16811187	C₂²	semidirect
109. #16811184	C₂²	semidirect
110. #16811181	C₂²	semidirect
111. #16811180	C₂²	semidirect
112. #16811180	C₂²	semidirect
113. #16811180	C₂²	semidirect
114. #16811173	C₂²	semidirect
115. #16811173	C₂²	semidirect
116. #16811173	C₂²	semidirect
117. #16811173	C₂²	semidirect
118. #16811170	C₂²	semidirect
119. #16811160	C₂²	semidirect
120. #16811160	C₂²	semidirect
121. #16811157	C₂²	semidirect
122. #16811157	C₂²	semidirect
123. #16811157	C₂²	semidirect
124. #16811157	C₂²	semidirect
125. #16811157	C₂²	semidirect
126. #16811157	C₂²	semidirect
127. #16811157	C₂²	semidirect
128. #16811151	C₂²	semidirect
129. #16811136	C₂²	semidirect
130. #16811136	C₂²	semidirect
131. #16811135	C₂²	semidirect
132. #16811135	C₂²	semidirect
133. #16811134	C₂²	semidirect
134. #16811134	C₂²	semidirect
135. #16811134	C₂²	semidirect
136. #16811133	C₂²	semidirect
137. #16811133	C₂²	semidirect
138. #16811132	C₂²	semidirect
139. #16811132	C₂²	semidirect
140. #16811132	C₂²	semidirect
141. #16811131	C₂²	semidirect
142. #16811130	C₂²	semidirect
143. #16811129	C₂²	semidirect
144. #123×D₅₃	C₂²	semidirect
145. C₂²⋊Q₈×D₅₃	C₂²	semidirect
146. C₂²⋊Q₈×D₅₃	C₂²	semidirect
147. #121×D₅₃	C₂²	semidirect
148. #121×D₅₃	C₂²	semidirect
149. #120×D₅₃	C₂²	semidirect
150. #16811106	C₂²	semidirect
151. #16811105	C₂²	semidirect
152. #16811103	C₂²	semidirect
153. #16811103	C₂²	semidirect
155. #16811097	C₂²	semidirect
156. #16811095	C₂²	semidirect
157. #16811095	C₂²	semidirect
158. C₄×#11719949	C₂²	semidirect
159. C₄×#11719945	C₂²	semidirect
160. C₄×#11719945	C₂²	semidirect
161. C₄×#11719945	C₂²	semidirect
162. C₄×#11719945	C₂²	semidirect
165. C₂×C₄×D₂₁₂	C₂²	semidirect
166. C₂×C₄×D₂₁₂	C₂²	semidirect
167. C₂×C₄×D₂₁₂	C₂²	semidirect
168. C₂×C₄×D₂₁₂	C₂²	semidirect
169. C₂×C₄×D₂₁₂	C₂²	semidirect
170. C₂×C₄×D₂₁₂	C₂²	semidirect
171. C₂×C₄×D₂₁₂	C₂²	semidirect
172. C₂×C₄×D₂₁₂	C₂²	semidirect
173. C₂×C₄×D₂₁₂	C₂²	semidirect
174. C₂×C₄×D₂₁₂	C₂²	semidirect
175. C₂×C₄×D₂₁₂	C₂²	semidirect
176. C₂×C₄×D₂₁₂	C₂²	semidirect
177. C₂×C₄×D₂₁₂	C₂²	semidirect
178. C₄×D₄×D₅₃	C₂²	semidirect
179. C₄×D₄×D₅₃	C₂²	semidirect
180. C₄×D₄×D₅₃	C₂²	semidirect
181. #117×D₅₃	C₂²	semidirect
182. C₂²×C₄⋊Dic₅₃	C₂²	semidirect
183. C₂²×#11719921	C₂²	semidirect
184. C₅₃×#533	C₂²	semidirect
185. C₅₃×#533	C₂²	semidirect
186. C₅₃×#533	C₂²	semidirect
187. C₅₃×#532	C₂²	semidirect
188. C₅₃×#532	C₂²	semidirect
189. C₅₃×#532	C₂²	semidirect
190. C₅₃×#529	C₂²	semidirect
191. C₅₃×#529	C₂²	semidirect
192. C₅₃×#529	C₂²	semidirect
193. C₅₃×#529	C₂²	semidirect
194. C₅₃×#529	C₂²	semidirect
195. C₅₃×#529	C₂²	semidirect
196. C₅₃×#525	C₂²	semidirect
197. C₅₃×#525	C₂²	semidirect
198. C₅₃×#525	C₂²	semidirect
199. C₄×#41×C₅₃	C₂²	semidirect
200. C₄×#41×C₅₃	C₂²	semidirect
201. C₄×#41×C₅₃	C₂²	semidirect
202. C₂²×C₄²×C₅₃	C₂²	semidirect
206. C₂×#11719949	C₂³	semidirect
211. C₂×#11719945	C₂³	semidirect
213. C₂×#11719947	C₂³	semidirect
215. C₂×Q₈×D₅₃	C₂³	semidirect
229. C₂×D₄×D₅₃	C₂³	semidirect
240. C₂²×C₄×D₅₃	C₂³	semidirect
241. #13133217	C₂³	semidirect
242. #13133217	C₂³	semidirect
243. #13133217	C₂³	semidirect
244. #13133217	C₂³	semidirect
245. #13133216	C₂³	semidirect
247. #13133214	C₂³	semidirect
249. #13133212	C₂³	semidirect
250. #13133212	C₂³	semidirect
251. #13133212	C₂³	semidirect
252. #13133212	C₂³	semidirect
253. #13133211	C₂³	semidirect
254. #13133211	C₂³	semidirect
255. #13133211	C₂³	semidirect
256. #13133210	C₂³	semidirect
257. #13133209	C₂³	semidirect
258. #13133209	C₂³	semidirect
259. #13133209	C₂³	semidirect
260. #13133209	C₂³	semidirect
261. #13133208	C₂³	semidirect
262. #13133208	C₂³	semidirect
263. #13133207	C₂³	semidirect
265. #13133206	C₂³	semidirect
267. #13133205	C₂³	semidirect
268. #13133205	C₂³	semidirect
269. #13133205	C₂³	semidirect
270. #13133205	C₂³	semidirect
271. #13133203	C₂³	semidirect
272. #13133203	C₂³	semidirect
275. #13133202	C₂³	semidirect
276. #13133202	C₂³	semidirect
277. #13133202	C₂³	semidirect
278. #13133202	C₂³	semidirect
279. #13133202	C₂³	semidirect
281. #13133201	C₂³	semidirect
282. #13133201	C₂³	semidirect
286. #13133200	C₂³	semidirect
287. #13133199	C₂³	semidirect
288. #13133199	C₂³	semidirect
289. #13133199	C₂³	semidirect
290. #13133199	C₂³	semidirect
292. #13133197	C₂³	semidirect
293. #13133197	C₂³	semidirect
294. #13133197	C₂³	semidirect
295. #13133197	C₂³	semidirect
302. #13133196	C₂³	semidirect
303. #13133195	C₂³	semidirect
304. #13133195	C₂³	semidirect
305. #13133195	C₂³	semidirect
306. #13133195	C₂³	semidirect
309. #13133194	C₂³	semidirect
310. #13133193	C₂³	semidirect
311. #13133193	C₂³	semidirect
312. #13133193	C₂³	semidirect
313. #13133193	C₂³	semidirect
318. #13133192	C₂³	semidirect
319. #13133192	C₂³	semidirect
320. #13133192	C₂³	semidirect
329. #13133191	C₂³	semidirect
330. #13133191	C₂³	semidirect
333. #13133190	C₂³	semidirect
334. #13133190	C₂³	semidirect
335. #13133190	C₂³	semidirect
338. #13133189	C₂³	semidirect
339. #13133188	C₂³	semidirect
340. #13133188	C₂³	semidirect
341. #13133188	C₂³	semidirect
347. #13133187	C₂³	semidirect
352. #13133185	C₂³	semidirect
353. Q₈×Dic₅₃	C₂³	semidirect
354. C₄×Dic₁₀₆	C₂³	semidirect
355. C₄×Dic₁₀₆	C₂³	semidirect
356. C₄×Dic₁₀₆	C₂³	semidirect
357. C₄×Dic₁₀₆	C₂³	semidirect
358. C₄×Dic₁₀₆	C₂³	semidirect
359. C₄×Dic₁₀₆	C₂³	semidirect
360. C₄×Dic₁₀₆	C₂³	semidirect
387. C₄×D₂₁₂	C₂³	semidirect
388. C₄×D₂₁₂	C₂³	semidirect
389. C₄×D₂₁₂	C₂³	semidirect
390. C₄×D₂₁₂	C₂³	semidirect
391. C₄×D₂₁₂	C₂³	semidirect
392. C₄×D₂₁₂	C₂³	semidirect
393. C₄×D₂₁₂	C₂³	semidirect
394. C₄×D₂₁₂	C₂³	semidirect
395. C₄×D₂₁₂	C₂³	semidirect
396. C₄×D₂₁₂	C₂³	semidirect
399. D₄×Dic₅₃	C₂³	semidirect
402. #13133179	C₂³	semidirect
403. #13133179	C₂³	semidirect
404. #13133179	C₂³	semidirect
411. C₄×C₂²⋊D₅₃	C₂³	semidirect
412. C₄×C₂²⋊D₅₃	C₂³	semidirect
413. C₄×C₂²⋊D₅₃	C₂³	semidirect
416. #13133177	C₂³	semidirect
417. #13133177	C₂³	semidirect
418. #13133177	C₂³	semidirect
422. #13133176	C₂³	semidirect
423. #13133175	C₂³	semidirect
424. #13133175	C₂³	semidirect
425. #13133175	C₂³	semidirect
426. #13133175	C₂³	semidirect
427. #13133174	C₂³	semidirect
428. #13133174	C₂³	semidirect
429. #13133174	C₂³	semidirect
430. #13133174	C₂³	semidirect
431. #13133174	C₂³	semidirect
440. C₂×C₄⋊Dic₅₃	C₂³	semidirect
441. C₄⋊C₄×D₅₃	C₂³	semidirect
442. C₄⋊C₄×D₅₃	C₂³	semidirect
443. C₄⋊C₄×D₅₃	C₂³	semidirect
444. C₄⋊C₄×D₅₃	C₂³	semidirect
445. C₄⋊C₄×D₅₃	C₂³	semidirect
454. C₂×#11719921	C₂³	semidirect
458. C₂²⋊C₄×D₅₃	C₂³	semidirect
459. C₂²⋊C₄×D₅₃	C₂³	semidirect
460. C₂²⋊C₄×D₅₃	C₂³	semidirect
461. C₄²×D₅₃	C₂³	semidirect
462. C₄²×D₅₃	C₂³	semidirect
469. C₄⋊Q₈×C₅₃	C₂³	semidirect
470. C₄⋊Q₈×C₅₃	C₂³	semidirect
471. C₄⋊Q₈×C₅₃	C₂³	semidirect
472. #127×C₅₃	C₂³	semidirect
473. #126×C₅₃	C₂³	semidirect
474. #126×C₅₃	C₂³	semidirect
475. #125×C₅₃	C₂³	semidirect
476. #125×C₅₃	C₂³	semidirect
477. #125×C₅₃	C₂³	semidirect
478. #124×C₅₃	C₂³	semidirect
479. #124×C₅₃	C₂³	semidirect
480. #124×C₅₃	C₂³	semidirect
497. C₄×Q₈×C₅₃	C₂³	semidirect
498. C₄×Q₈×C₅₃	C₂³	semidirect
499. C₄×Q₈×C₅₃	C₂³	semidirect
500. C₄×Q₈×C₅₃	C₂³	semidirect
501. C₄×Q₈×C₅₃	C₂³	semidirect
502. C₄×Q₈×C₅₃	C₂³	semidirect
509. C₄×D₄×C₅₃	C₂³	semidirect
510. C₄×D₄×C₅₃	C₂³	semidirect
511. C₄×D₄×C₅₃	C₂³	semidirect
512. C₄×D₄×C₅₃	C₂³	semidirect
513. C₄×D₄×C₅₃	C₂³	semidirect
514. C₄×D₄×C₅₃	C₂³	semidirect
518. #117×C₅₃	C₂³	semidirect
519. #117×C₅₃	C₂³	semidirect
520. #117×C₅₃	C₂³	semidirect
533. C₂×C₄²×C₅₃	C₂³	semidirect
614. C₂×D₂₁₂	#41	semidirect
773. C₂²×D₅₃	C₂×#41	semidirect
805. C₂×C₄×C₅₃	C₂×#41	semidirect
806. C₂×C₄×C₅₃	H(5,𝔽₂)	semidirect
849. D₂₁₂	C₂×#41	semidirect
850. D₂₁₂	C₂×#41	semidirect
942. #3444	D₅₃	semidirect
1042. #533	C₂×D₅₃	semidirect
1043. #533	C₂×D₅₃	semidirect
1044. #533	C₂×D₅₃	semidirect
1050. #532	C₂×D₅₃	semidirect
1051. #532	C₂×D₅₃	semidirect
1052. #532	C₂×D₅₃	semidirect
1063. #529	C₂×D₅₃	semidirect
1064. #529	C₂×D₅₃	semidirect
1065. #529	C₂×D₅₃	semidirect
1066. #529	C₂×D₅₃	semidirect
1067. #529	C₂×D₅₃	semidirect
1068. #529	C₂×D₅₃	semidirect
1084. #525	C₂×D₅₃	semidirect
1085. #525	C₂×D₅₃	semidirect
1086. #525	C₂×D₅₃	semidirect
1106. C₄×#41	C₂×D₅₃	semidirect
1107. C₄×#41	C₂×D₅₃	semidirect
1108. C₄×#41	C₂×D₅₃	semidirect
1130. C₂²×C₄²	C₂×D₅₃	semidirect
1131. C₅₃	#62773	semidirect
1181. C₄⋊Q₈	C₂²×D₅₃	semidirect
1182. C₄⋊Q₈	C₂²×D₅₃	semidirect
1183. C₄⋊Q₈	C₂²×D₅₃	semidirect
1187. #127	C₂²×D₅₃	semidirect
1196. #126	C₂²×D₅₃	semidirect
1197. #126	C₂²×D₅₃	semidirect
1205. #125	C₂²×D₅₃	semidirect
1206. #125	C₂²×D₅₃	semidirect
1207. #125	C₂²×D₅₃	semidirect
1217. #124	C₂²×D₅₃	semidirect
1218. #124	C₂²×D₅₃	semidirect
1219. #124	C₂²×D₅₃	semidirect
1324. C₄×Q₈	C₂²×D₅₃	semidirect
1325. C₄×Q₈	C₂²×D₅₃	semidirect
1326. C₄×Q₈	C₂²×D₅₃	semidirect
1327. C₄×Q₈	C₂²×D₅₃	semidirect
1328. C₄×Q₈	C₂²×D₅₃	semidirect
1329. C₄×Q₈	C₂²×D₅₃	semidirect
1394. C₄×D₄	C₂²×D₅₃	semidirect
1395. C₄×D₄	C₂²×D₅₃	semidirect
1396. C₄×D₄	C₂²×D₅₃	semidirect
1397. C₄×D₄	C₂²×D₅₃	semidirect
1398. C₄×D₄	C₂²×D₅₃	semidirect
1399. C₄×D₄	C₂²×D₅₃	semidirect
1417. #117	C₂²×D₅₃	semidirect
1418. #117	C₂²×D₅₃	semidirect
1419. #117	C₂²×D₅₃	semidirect
1462. C₂×C₄²	C₂²×D₅₃	semidirect
1782. C₂×C₄	#41×D₅₃	semidirect
1783. C₂×C₄	#13133263	semidirect

Maximal subgroups

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

subgroup	index
#20288766	2
#20288759	2
#20288749	2
#20288742	2
#20288659	2
#20288649	2
#20288569	2
#20288564	2
#20288550	2
#20288516	2
#20288477	2
#20288421	2
#20288398	2
#20288348	2
#20288325	2
#20288321	2
#20288282	2
#20288279	2
#41×D₂₁₂	2
#20288201	2
#20288131	2
#20288125	2
#20288011	2
#525×D₅₃	2
C₄×#13133263	2
C₂²×C₄×D₂₁₂	2
C₅₃×#3444	2
#62773	53