Subgroups — #28293324

Order 13568.

7498 conjugacy classes of subgroups.

The subgroup lattice has 2122 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289072	C₂	1	1	yes	maximal, characteristic, complemented
2	#20289069	C₂	1	2	yes	maximal, complemented
3	#20289045	C₂	1	2	yes	maximal, complemented
4	#20289042	C₂	1	2	yes	maximal, complemented
5	#20289038	C₂	1	4	yes	maximal, complemented
6	#20289030	C₂	1	4	yes	maximal, complemented
7	#20289028	C₂	1	4	yes	maximal, complemented
8	#20289027	C₂	1	4	yes	maximal, complemented
9	#20288908	C₂	1	4	yes	maximal, complemented
10	#20288897	C₂	1	4	yes	maximal, complemented
11	#20288891	C₂	1	2	yes	maximal, complemented
12	#20288880	C₂	1	2	yes	maximal, complemented
13	#20288878	C₂	1	4	yes	maximal, complemented
14	#20288872	C₂	1	2	yes	maximal, complemented
15	#20288871	C₂	1	2	yes	maximal, complemented
16	#20288866	C₂	1	4	yes	maximal, complemented
17	#20288407	C₂	1	2	yes	maximal, complemented
18	#20288399	C₂	1	4	yes	maximal, complemented
19	#20288358	C₂	1	2	yes	maximal, complemented
20	#20288345	C₂	1	4	yes	maximal, complemented
21	C₂×#16811191	C₂	1	1	yes	maximal, characteristic, complemented
22	#534×D₅₃	C₂	1	2	yes	maximal, complemented
23	C₅₃×#3545	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13133263	C₂²	1	2	yes	complemented
25	C₂²×#11719949	C₂²	1	1	yes	characteristic, complemented
26	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
27	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
28	#16811373	C₂²	1	1	yes	characteristic, complemented
29	#16811372	C₂²	1	2	yes	complemented
30	#16811370	C₂²	1	4	yes	complemented
31	#16811369	C₂²	1	4	yes	complemented
32	#16811369	C₂²	1	4	yes	complemented
33	#16811369	C₂²	1	4	yes	complemented
34	#16811367	C₂²	1	4	yes	complemented
35	#16811367	C₂²	1	2	yes	complemented
36	#16811365	C₂²	1	1	yes	characteristic, complemented
37	#16811365	C₂²	1	2	yes	complemented
38	#16811364	C₂²	1	4	yes	complemented
39	#16811364	C₂²	1	4	yes	complemented
40	#16811364	C₂²	1	4	yes	complemented
41	#16811363	C₂²	1	2	yes	complemented
42	#16811363	C₂²	1	4	yes	complemented
43	#16811362	C₂²	1	2	yes	complemented
44	#16811362	C₂²	1	4	yes	complemented
45	#16811361	C₂²	1	4	yes	complemented
46	#16811361	C₂²	1	4	yes	complemented
47	#16811358	C₂²	1	2	yes	complemented
48	#16811357	C₂²	1	2	yes	complemented
49	#16811339	C₂²	1	2	yes	complemented
50	#16811335	C₂²	1	2	yes	complemented
51	#16811335	C₂²	1	2	yes	complemented
52	#16811324	C₂²	1	4	yes	complemented
53	#16811323	C₂²	1	4	yes	complemented
54	#16811318	C₂²	1	4	yes	complemented
55	#16811317	C₂²	1	4	yes	complemented
56	#16811314	C₂²	1	4	yes	complemented
57	#16811312	C₂²	1	4	yes	complemented
58	#16811309	C₂²	1	4	yes	complemented
59	#16811305	C₂²	1	4	yes	complemented
60	#16811303	C₂²	1	2	yes	complemented
61	#16811303	C₂²	1	4	yes	complemented
62	#16811302	C₂²	1	4	yes	complemented
63	#16811300	C₂²	1	4	yes	complemented
64	#16811300	C₂²	1	4	yes	complemented
65	#16811299	C₂²	1	4	yes	complemented
66	#16811298	C₂²	1	4	yes	complemented
67	#16811298	C₂²	1	4	yes	complemented
68	#16811298	C₂²	1	4	yes	complemented
69	#16811297	C₂²	1	4	yes	complemented
70	#16811297	C₂²	1	4	yes	complemented
71	#16811297	C₂²	1	4	yes	complemented
72	#16811296	C₂²	1	4	yes	complemented
73	#16811295	C₂²	1	2	yes	complemented
74	#16811294	C₂²	1	2	yes	complemented
75	#16811291	C₂²	1	4	yes	complemented
76	#16811276	C₂²	1	4	yes	complemented
77	#16811276	C₂²	1	4	yes	complemented
78	#16811275	C₂²	1	4	yes	complemented
79	#16811275	C₂²	1	4	yes	complemented
80	#16811269	C₂²	1	4	yes	complemented
81	#16811269	C₂²	1	4	yes	complemented
82	#16811268	C₂²	1	4	yes	complemented
83	#16811266	C₂²	1	4	yes	complemented
84	#16811266	C₂²	1	4	yes	complemented
85	#16811266	C₂²	1	4	yes	complemented
86	#16811266	C₂²	1	4	yes	complemented
87	#16811266	C₂²	1	4	yes	complemented
88	#16811265	C₂²	1	4	yes	complemented
89	#16811265	C₂²	1	4	yes	complemented
90	#16811265	C₂²	1	4	yes	complemented
91	#16811265	C₂²	1	4	yes	complemented
92	#16811264	C₂²	1	4	yes	complemented
93	#16811264	C₂²	1	4	yes	complemented
94	#16811264	C₂²	1	4	yes	complemented
95	#16811264	C₂²	1	4	yes	complemented
96	#16811263	C₂²	1	4	yes	complemented
97	#16811263	C₂²	1	4	yes	complemented
98	#16811263	C₂²	1	4	yes	complemented
99	#16811263	C₂²	1	4	yes	complemented
100	#16811262	C₂²	1	4	yes	complemented
101	#16811261	C₂²	1	4	yes	complemented
102	#16811260	C₂²	1	4	yes	complemented
103	D₄×D₂₁₂	C₂²	1	4	yes	complemented
104	D₄×D₂₁₂	C₂²	1	2	yes	complemented
105	D₄×D₂₁₂	C₂²	1	4	yes	complemented
106	#16811257	C₂²	1	4	yes	complemented
107	#16811257	C₂²	1	4	yes	complemented
108	#16811257	C₂²	1	4	yes	complemented
109	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
110	#16811255	C₂²	1	2	yes	complemented
111	#16811255	C₂²	1	4	yes	complemented
112	#16811255	C₂²	1	4	yes	complemented
113	#16811248	C₂²	1	2	yes	complemented
114	#16811247	C₂²	1	4	yes	complemented
115	#16811243	C₂²	1	4	yes	complemented
116	#16811237	C₂²	1	4	yes	complemented
117	#16811229	C₂²	1	4	yes	complemented
118	#16811228	C₂²	1	4	yes	complemented
119	#16811228	C₂²	1	4	yes	complemented
120	#16811225	C₂²	1	4	yes	complemented
121	#16811225	C₂²	1	4	yes	complemented
122	#16811224	C₂²	1	4	yes	complemented
123	#16811223	C₂²	1	4	yes	complemented
124	#16811223	C₂²	1	4	yes	complemented
125	#16811222	C₂²	1	2	yes	complemented
126	#16811219	C₂²	1	4	yes	complemented
127	#16811218	C₂²	1	2	yes	complemented
128	#16811215	C₂²	1	4	yes	complemented
129	#16811214	C₂²	1	4	yes	complemented
130	#16811213	C₂²	1	4	yes	complemented
131	#16811212	C₂²	1	4	yes	complemented
132	#16811212	C₂²	1	4	yes	complemented
133	#16811212	C₂²	1	4	yes	complemented
134	#16811211	C₂²	1	4	yes	complemented
135	#16811209	C₂²	1	4	yes	complemented
136	#16811209	C₂²	1	4	yes	complemented
137	#16811207	C₂²	1	4	yes	complemented
138	#16811207	C₂²	1	4	yes	complemented
139	#16811207	C₂²	1	4	yes	complemented
140	#16811207	C₂²	1	4	yes	complemented
141	#16811207	C₂²	1	4	yes	complemented
142	#16811206	C₂²	1	4	yes	complemented
143	#16811203	C₂²	1	4	yes	complemented
144	#16811202	C₂²	1	4	yes	complemented
145	#16811197	C₂²	1	2	yes	complemented
146	#16811192	C₂²	1	4	yes	complemented
147	#16811191	C₂²	1	2	yes	complemented
148	#16811191	C₂²	1	2	yes	complemented
149	#16811191	C₂²	1	4	yes	complemented
150	#16811191	C₂²	1	4	yes	complemented
151	#16811191	C₂²	1	2	yes	complemented
152	#16811191	C₂²	1	2	yes	complemented
153	#16811191	C₂²	1	4	yes	complemented
154	#16811191	C₂²	1	4	yes	complemented
155	#16811189	C₂²	1	4	yes	complemented
156	#16811189	C₂²	1	4	yes	complemented
157	#16811188	C₂²	1	4	yes	complemented
158	#16811185	C₂²	1	2	yes	complemented
159	#16811184	C₂²	1	2	yes	complemented
160	#16811184	C₂²	1	2	yes	complemented
161	#16811184	C₂²	1	4	yes	complemented
162	#16811184	C₂²	1	4	yes	complemented
163	#16811184	C₂²	1	4	yes	complemented
164	#16811184	C₂²	1	4	yes	complemented
165	#16811184	C₂²	1	4	yes	complemented
166	#16811183	C₂²	1	2	yes	complemented
167	#16811183	C₂²	1	4	yes	complemented
168	#16811183	C₂²	1	2	yes	complemented
169	#16811183	C₂²	1	4	yes	complemented
170	#16811182	C₂²	1	2	yes	complemented
171	#16811182	C₂²	1	2	yes	complemented
172	#16811181	C₂²	1	2	yes	—
173	#16811181	C₂²	1	4	yes	complemented
174	#16811181	C₂²	1	4	yes	complemented
175	#16811181	C₂²	1	4	yes	complemented
176	C₂×#13133214	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13133213	C₂²	1	1	yes	characteristic, complemented
178	#16811157	C₂²	1	2	yes	complemented
179	#16811150	C₂²	1	4	yes	complemented
180	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
181	#16811136	C₂²	1	4	yes	complemented
182	#16811136	C₂²	1	4	yes	complemented
183	#16811135	C₂²	1	4	yes	complemented
184	#16811135	C₂²	1	2	yes	complemented
185	#16811132	C₂²	1	4	yes	complemented
186	#16811132	C₂²	1	4	yes	complemented
187	#16811131	C₂²	1	4	yes	complemented
188	#16811130	C₂²	1	2	yes	complemented
189	#123×D₅₃	C₂²	1	2	yes	complemented
190	#123×D₅₃	C₂²	1	2	yes	complemented
191	#123×D₅₃	C₂²	1	4	yes	complemented
192	#123×D₅₃	C₂²	1	4	yes	complemented
193	C₂×#13133190	C₂²	1	4	yes	complemented
194	#121×D₅₃	C₂²	1	4	yes	complemented
195	#121×D₅₃	C₂²	1	4	yes	complemented
196	C₂×#13133187	C₂²	1	4	yes	complemented
197	C₂×#13133187	C₂²	1	4	yes	complemented
198	#120×D₅₃	C₂²	1	4	yes	complemented
199	#120×D₅₃	C₂²	1	2	yes	complemented
200	#120×D₅₃	C₂²	1	4	yes	complemented
201	#120×D₅₃	C₂²	1	2	yes	complemented
202	#16811097	C₂²	1	2	yes	complemented
203	#16811095	C₂²	1	4	yes	complemented
204	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
205	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
206	C₅₃×#563	C₂²	1	1	yes	characteristic, complemented
207	C₅₃×#562	C₂²	1	2	yes	complemented
208	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
209	C₅₃×#555	C₂²	1	2	yes	complemented
210	C₅₃×#551	C₂²	1	2	yes	complemented
211	C₅₃×#551	C₂²	1	4	yes	complemented
212	C₅₃×#546	C₂²	1	4	yes	complemented
213	C₅₃×#542	C₂²	1	4	yes	complemented
214	C₅₃×#538	C₂²	1	4	yes	complemented
215	C₅₃×#536	C₂²	1	2	yes	complemented
216	C₅₃×#534	C₂²	1	2	yes	complemented
217	C₅₃×#529	C₂²	1	2	yes	complemented
218	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₅₃	C₂³	1	2	yes	—
220	C₂⁴×D₅₃	C₂³	1	2	yes	complemented
221	#13133263	—	4	8	no	—
222	C₂×#11719949	—	4	4	no	—
223	C₂×#11719949	C₂³	1	4	yes	—
224	C₂×#11719949	C₂³	1	2	yes	complemented
225	C₂×#11719949	C₂³	1	4	yes	complemented
226	C₂×#11719949	C₂³	1	2	yes	complemented
227	C₂×#11719949	C₂³	1	4	yes	complemented
228	C₂×#11719945	C₂³	1	2	yes	—
229	C₂×#11719945	C₂³	1	4	yes	—
230	C₂×#11719945	C₂³	1	4	yes	complemented
231	C₂×#11719945	C₂³	1	4	yes	complemented
232	C₂×#11719947	C₂³	1	4	yes	complemented
233	C₂²×D₂₁₂	C₂³	1	2	yes	—
234	C₂²×D₂₁₂	C₂³	1	4	yes	—
235	C₂²×D₂₁₂	C₂³	1	2	yes	—
236	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
237	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
238	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
239	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
240	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
241	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
242	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
243	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
244	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
245	C₂×D₄×D₅₃	—	4	4	no	—
246	C₂×D₄×D₅₃	—	4	8	no	—
247	C₂×D₄×D₅₃	C₂³	1	4	yes	—
248	C₂×D₄×D₅₃	C₂³	1	4	yes	—
249	C₂×D₄×D₅₃	C₂³	1	4	yes	—
250	C₂×D₄×D₅₃	C₂³	1	2	yes	—
251	C₂×D₄×D₅₃	C₂³	1	2	yes	—
252	C₂×D₄×D₅₃	C₂³	1	2	yes	—
253	C₂×D₄×D₅₃	C₂³	1	2	yes	—
254	C₂×D₄×D₅₃	C₂³	1	4	yes	—
255	C₂×D₄×D₅₃	C₂³	1	4	yes	—
256	C₂×D₄×D₅₃	C₂³	1	4	yes	—
257	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
258	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
259	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
260	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
261	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
262	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
263	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
264	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
265	#13133215	C₂³	1	2	yes	complemented
266	#13133215	C₂³	1	2	yes	complemented
267	#13133214	C₂³	1	2	yes	—
268	#13133214	C₂³	1	2	yes	complemented
269	#13133214	C₂³	1	4	yes	complemented
270	#13133214	C₂³	1	2	yes	complemented
271	#13133214	C₂³	1	2	yes	complemented
272	#13133213	C₂³	1	2	yes	—
273	#13133213	C₂³	1	2	yes	complemented
274	#13133213	C₂³	1	4	yes	complemented
275	#13133213	C₂³	1	4	yes	complemented
276	#13133213	C₂³	1	4	yes	complemented
277	#13133213	C₂³	1	4	yes	complemented
278	#13133212	C₂³	1	4	yes	complemented
279	#13133212	C₂³	1	4	yes	complemented
280	#13133212	C₂³	1	4	yes	complemented
281	#13133212	C₂³	1	4	yes	complemented
282	#13133212	C₂³	1	4	yes	complemented
283	#13133211	C₂³	1	4	yes	complemented
284	#13133211	C₂³	1	4	yes	complemented
285	#13133211	C₂³	1	4	yes	complemented
286	#13133210	C₂³	1	4	yes	complemented
287	#13133210	C₂³	1	4	yes	complemented
288	#13133210	C₂³	1	4	yes	complemented
289	#13133210	C₂³	1	4	yes	complemented
290	#13133210	C₂³	1	4	yes	complemented
291	#13133209	C₂³	1	2	yes	complemented
292	#13133209	C₂³	1	4	yes	complemented
293	#13133208	C₂³	1	4	yes	complemented
294	#13133207	C₂³	1	4	yes	complemented
295	#13133207	C₂³	1	4	yes	complemented
296	#13133207	C₂³	1	4	yes	complemented
297	#13133206	C₂³	1	2	yes	—
298	#13133206	C₂³	1	2	yes	complemented
299	#13133206	C₂³	1	2	yes	complemented
300	#13133206	C₂³	1	4	yes	complemented
301	#13133206	C₂³	1	4	yes	complemented
302	#13133206	C₂³	1	2	yes	complemented
303	#13133206	C₂³	1	2	yes	complemented
304	#13133206	C₂³	1	2	yes	complemented
305	#13133205	C₂³	1	4	yes	complemented
306	#13133205	C₂³	1	4	yes	complemented
307	#13133205	C₂³	1	2	yes	complemented
308	#13133203	C₂³	1	4	yes	complemented
309	#13133203	C₂³	1	4	yes	complemented
310	#13133203	C₂³	1	4	yes	complemented
311	#13133203	C₂³	1	4	yes	complemented
312	#13133203	C₂³	1	4	yes	complemented
313	#13133203	C₂³	1	4	yes	complemented
314	#13133203	C₂³	1	4	yes	complemented
315	#13133202	C₂³	1	4	yes	—
316	#13133202	C₂³	1	4	yes	—
317	#13133202	C₂³	1	4	yes	—
318	#13133202	C₂³	1	4	yes	—
319	#13133202	C₂³	1	4	yes	complemented
320	#13133202	C₂³	1	4	yes	complemented
321	#13133202	C₂³	1	4	yes	complemented
322	#13133202	C₂³	1	4	yes	complemented
323	#13133202	C₂³	1	4	yes	complemented
324	#13133202	C₂³	1	4	yes	complemented
325	#13133202	C₂³	1	4	yes	complemented
326	#13133202	C₂³	1	4	yes	complemented
327	#13133202	C₂³	1	4	yes	complemented
328	#13133202	C₂³	1	4	yes	complemented
329	#13133202	C₂³	1	4	yes	complemented
330	#13133202	C₂³	1	4	yes	complemented
331	#13133202	C₂³	1	4	yes	complemented
332	#13133202	C₂³	1	4	yes	complemented
333	#13133202	C₂³	1	4	yes	complemented
334	#13133201	C₂³	1	2	yes	—
335	#13133201	C₂³	1	4	yes	complemented
336	#13133201	C₂³	1	4	yes	complemented
337	#13133201	C₂³	1	4	yes	complemented
338	#13133201	C₂³	1	2	yes	complemented
339	#13133201	C₂³	1	4	yes	complemented
340	#13133200	C₂³	1	2	yes	—
341	#13133200	C₂³	1	4	yes	complemented
342	#13133200	C₂³	1	4	yes	complemented
343	#13133200	C₂³	1	4	yes	complemented
344	#13133200	C₂³	1	2	yes	complemented
345	#13133200	C₂³	1	4	yes	complemented
346	#13133200	C₂³	1	4	yes	complemented
347	#13133199	C₂³	1	4	yes	—
348	#13133199	C₂³	1	4	yes	—
349	#13133199	C₂³	1	4	yes	—
350	#13133199	C₂³	1	4	yes	—
351	#13133199	C₂³	1	4	yes	complemented
352	#13133199	C₂³	1	4	yes	complemented
353	#13133199	C₂³	1	4	yes	complemented
354	#13133199	C₂³	1	4	yes	complemented
355	#13133199	C₂³	1	4	yes	complemented
356	#13133199	C₂³	1	4	yes	complemented
357	#13133199	C₂³	1	4	yes	complemented
358	#13133199	C₂³	1	4	yes	complemented
359	#13133199	C₂³	1	4	yes	complemented
360	#13133198	C₂³	1	2	yes	—
361	#13133198	C₂³	1	4	yes	complemented
362	#13133198	C₂³	1	4	yes	complemented
363	#13133198	C₂³	1	2	yes	complemented
364	#13133197	C₂³	1	4	yes	complemented
365	#13133197	C₂³	1	4	yes	complemented
366	#13133197	C₂³	1	4	yes	complemented
367	#13133196	C₂³	1	2	yes	complemented
368	#13133196	C₂³	1	4	yes	complemented
369	#13133195	C₂³	1	4	yes	complemented
370	#13133195	C₂³	1	4	yes	complemented
371	#13133195	C₂³	1	4	yes	complemented
372	#13133195	C₂³	1	4	yes	complemented
373	#13133195	C₂³	1	4	yes	complemented
374	#13133194	C₂³	1	4	yes	complemented
375	#13133194	C₂³	1	4	yes	complemented
376	#13133194	C₂³	1	4	yes	complemented
377	#13133194	C₂³	1	4	yes	complemented
378	#13133193	C₂³	1	4	yes	complemented
379	#13133193	C₂³	1	4	yes	complemented
380	#13133193	C₂³	1	4	yes	complemented
381	#13133193	C₂³	1	4	yes	complemented
382	#13133193	C₂³	1	4	yes	complemented
383	#13133193	C₂³	1	4	yes	complemented
384	#13133192	C₂³	1	4	yes	—
385	#13133192	C₂³	1	4	yes	—
386	#13133192	C₂³	1	4	yes	—
387	#13133192	C₂³	1	4	yes	complemented
388	#13133192	C₂³	1	4	yes	complemented
389	#13133192	C₂³	1	4	yes	complemented
390	#13133192	C₂³	1	4	yes	complemented
391	#13133192	C₂³	1	4	yes	complemented
392	#13133192	C₂³	1	4	yes	complemented
393	#13133192	C₂³	1	4	yes	complemented
394	#13133192	C₂³	1	4	yes	complemented
395	#13133192	C₂³	1	4	yes	complemented
396	#13133192	C₂³	1	4	yes	complemented
397	#13133192	C₂³	1	4	yes	complemented
398	#13133191	C₂³	1	4	yes	—
399	#13133191	C₂³	1	2	yes	—
400	#13133191	C₂³	1	4	yes	complemented
401	#13133191	C₂³	1	4	yes	complemented
402	#13133191	C₂³	1	4	yes	complemented
403	#13133191	C₂³	1	4	yes	complemented
404	#13133191	C₂³	1	4	yes	complemented
405	#13133191	C₂³	1	4	yes	complemented
406	#13133190	C₂³	1	4	yes	—
407	#13133190	C₂³	1	4	yes	—
408	#13133190	C₂³	1	4	yes	—
409	#13133190	C₂³	1	4	yes	—
410	#13133190	C₂³	1	4	yes	—
411	#13133190	C₂³	1	4	yes	—
412	#13133190	C₂³	1	4	yes	complemented
413	#13133190	C₂³	1	4	yes	complemented
414	#13133190	C₂³	1	4	yes	complemented
415	#13133190	C₂³	1	4	yes	complemented
416	#13133190	C₂³	1	4	yes	complemented
417	#13133190	C₂³	1	4	yes	complemented
418	#13133190	C₂³	1	4	yes	complemented
419	#13133190	C₂³	1	4	yes	complemented
420	#13133190	C₂³	1	4	yes	complemented
421	#13133190	C₂³	1	4	yes	complemented
422	#13133190	C₂³	1	4	yes	complemented
423	#13133190	C₂³	1	4	yes	complemented
424	#13133190	C₂³	1	4	yes	complemented
425	#13133190	C₂³	1	4	yes	complemented
426	#13133190	C₂³	1	4	yes	complemented
427	#13133190	C₂³	1	4	yes	complemented
428	#13133190	C₂³	1	4	yes	complemented
429	#13133190	C₂³	1	4	yes	complemented
430	#13133190	C₂³	1	4	yes	complemented
431	#13133190	C₂³	1	4	yes	complemented
432	#13133190	C₂³	1	4	yes	complemented
433	#13133189	C₂³	1	4	yes	—
434	#13133189	C₂³	1	4	yes	—
435	#13133189	C₂³	1	4	yes	—
436	#13133189	C₂³	1	4	yes	complemented
437	#13133189	C₂³	1	4	yes	complemented
438	#13133189	C₂³	1	4	yes	complemented
439	#13133189	C₂³	1	4	yes	complemented
440	#13133189	C₂³	1	4	yes	complemented
441	#13133189	C₂³	1	4	yes	complemented
442	#13133189	C₂³	1	4	yes	complemented
443	#13133188	C₂³	1	4	yes	—
444	#13133188	C₂³	1	4	yes	complemented
445	#13133188	C₂³	1	4	yes	complemented
446	#13133188	C₂³	1	4	yes	complemented
447	#13133188	C₂³	1	4	yes	complemented
448	#13133187	C₂³	1	4	yes	—
449	#13133187	C₂³	1	4	yes	—
450	#13133187	C₂³	1	4	yes	—
451	#13133187	C₂³	1	4	yes	—
452	#13133187	C₂³	1	4	yes	—
453	#13133187	C₂³	1	4	yes	—
454	#13133187	C₂³	1	4	yes	—
455	#13133187	C₂³	1	4	yes	—
456	#13133187	C₂³	1	4	yes	—
457	#13133187	C₂³	1	2	yes	—
458	#13133187	C₂³	1	4	yes	complemented
459	#13133187	C₂³	1	4	yes	complemented
460	#13133187	C₂³	1	4	yes	complemented
461	#13133187	C₂³	1	4	yes	complemented
462	#13133187	C₂³	1	4	yes	complemented
463	#13133187	C₂³	1	4	yes	complemented
464	#13133187	C₂³	1	4	yes	complemented
465	#13133187	C₂³	1	4	yes	complemented
466	#13133187	C₂³	1	2	yes	complemented
467	#13133187	C₂³	1	4	yes	complemented
468	#13133187	C₂³	1	4	yes	complemented
469	#13133187	C₂³	1	4	yes	complemented
470	#13133187	C₂³	1	4	yes	complemented
471	#13133187	C₂³	1	4	yes	complemented
472	#13133187	C₂³	1	4	yes	complemented
473	#13133187	C₂³	1	4	yes	complemented
474	#13133187	C₂³	1	4	yes	complemented
475	#13133187	C₂³	1	4	yes	complemented
476	#13133186	C₂³	1	4	yes	—
477	#13133186	C₂³	1	2	yes	—
478	#13133186	C₂³	1	2	yes	complemented
479	#13133186	C₂³	1	4	yes	complemented
480	#13133185	C₂³	1	4	yes	—
481	#13133185	C₂³	1	4	yes	—
482	#13133185	C₂³	1	2	yes	—
483	#13133185	C₂³	1	4	yes	—
484	#13133185	C₂³	1	4	yes	—
485	#13133185	C₂³	1	4	yes	—
486	#13133185	C₂³	1	4	yes	complemented
487	#13133185	C₂³	1	4	yes	complemented
488	#13133185	C₂³	1	4	yes	complemented
489	#13133185	C₂³	1	4	yes	complemented
490	#13133185	C₂³	1	4	yes	complemented
491	#13133185	C₂³	1	2	yes	complemented
492	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
493	#13133182	C₂³	1	4	yes	complemented
494	C₄×D₂₁₂	C₂³	1	4	yes	—
495	C₄×D₂₁₂	C₂³	1	4	yes	complemented
496	C₄×D₂₁₂	C₂³	1	4	yes	complemented
497	C₄×D₂₁₂	C₂³	1	4	yes	complemented
498	C₄×D₂₁₂	C₂³	1	4	yes	complemented
499	C₄×D₂₁₂	C₂³	1	4	yes	complemented
500	C₄×D₂₁₂	C₂³	1	4	yes	complemented
501	C₄×D₂₁₂	C₂³	1	4	yes	complemented
502	C₄×D₂₁₂	C₂³	1	2	yes	complemented
503	D₄×Dic₅₃	C₂³	1	4	yes	complemented
504	#13133179	C₂³	1	4	yes	—
505	#13133179	C₂³	1	4	yes	complemented
506	#13133179	C₂³	1	4	yes	complemented
507	#13133179	C₂³	1	4	yes	complemented
508	#13133179	C₂³	1	4	yes	complemented
509	#13133179	C₂³	1	4	yes	complemented
510	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
511	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
512	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
513	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
514	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
515	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
516	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
517	#13133177	C₂³	1	4	yes	—
518	#13133177	C₂³	1	4	yes	complemented
519	#13133177	C₂³	1	4	yes	complemented
520	#13133177	C₂³	1	4	yes	complemented
521	#13133177	C₂³	1	4	yes	complemented
522	#13133177	C₂³	1	4	yes	complemented
523	#13133177	C₂³	1	4	yes	complemented
524	#13133177	C₂³	1	4	yes	complemented
525	#13133176	C₂³	1	2	yes	complemented
526	#13133175	C₂³	1	4	yes	complemented
527	#13133175	C₂³	1	4	yes	complemented
528	#13133175	C₂³	1	4	yes	complemented
529	#13133174	C₂³	1	2	yes	complemented
530	#13133174	C₂³	1	4	yes	complemented
531	#13133174	C₂³	1	4	yes	complemented
532	#13133174	C₂³	1	4	yes	complemented
533	#13133174	C₂³	1	2	yes	complemented
534	#13133174	C₂³	1	4	yes	complemented
535	#13133173	C₂³	1	4	yes	complemented
536	#13133173	C₂³	1	4	yes	complemented
537	C₂×#11719919	C₂³	1	2	yes	complemented
538	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
539	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
540	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
541	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
542	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
543	C₂×#11719921	C₂³	1	4	yes	—
544	C₂×#11719921	C₂³	1	2	yes	—
545	C₂×#11719921	C₂³	1	4	yes	complemented
546	C₂×#11719921	C₂³	1	4	yes	complemented
547	C₂×#11719921	C₂³	1	4	yes	complemented
548	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
549	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
550	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
551	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
552	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
553	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
554	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
555	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
556	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
557	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
558	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
559	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
560	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
561	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
562	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
563	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
564	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
565	C₂×#41×C₅₃	C₂³	1	2	yes	—
566	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
567	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
568	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
569	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
570	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
571	#126×C₅₃	C₂³	1	4	yes	complemented
572	#126×C₅₃	C₂³	1	4	yes	complemented
573	#126×C₅₃	C₂³	1	4	yes	complemented
574	#125×C₅₃	C₂³	1	2	yes	complemented
575	#124×C₅₃	C₂³	1	1	yes	characteristic
576	#124×C₅₃	C₂³	1	1	yes	characteristic
577	#124×C₅₃	C₂³	1	2	yes	complemented
578	#124×C₅₃	C₂³	1	2	yes	complemented
579	#124×C₅₃	C₂³	1	4	yes	complemented
580	#124×C₅₃	C₂³	1	4	yes	complemented
581	#124×C₅₃	C₂³	1	2	yes	complemented
582	#124×C₅₃	C₂³	1	4	yes	complemented
583	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
584	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
585	#123×C₅₃	C₂³	1	2	yes	—
586	#123×C₅₃	C₂³	1	4	yes	complemented
587	#123×C₅₃	C₂³	1	4	yes	complemented
588	#123×C₅₃	C₂³	1	4	yes	complemented
589	#123×C₅₃	C₂³	1	4	yes	complemented
590	#123×C₅₃	C₂³	1	4	yes	complemented
591	#123×C₅₃	C₂³	1	2	yes	complemented
592	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
593	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
594	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
595	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
596	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
597	#121×C₅₃	C₂³	1	2	yes	—
598	#121×C₅₃	C₂³	1	4	yes	—
599	#121×C₅₃	C₂³	1	4	yes	complemented
600	#121×C₅₃	C₂³	1	4	yes	complemented
601	#121×C₅₃	C₂³	1	4	yes	complemented
602	#120×C₅₃	C₂³	1	4	yes	—
603	#120×C₅₃	C₂³	1	2	yes	—
604	#120×C₅₃	C₂³	1	2	yes	complemented
605	#120×C₅₃	C₂³	1	4	yes	complemented
606	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
607	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
608	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
609	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
610	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
611	#117×C₅₃	C₂³	1	2	yes	complemented
612	#117×C₅₃	C₂³	1	4	yes	complemented
613	#117×C₅₃	C₂³	1	4	yes	complemented
614	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
615	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
616	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
617	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
618	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
619	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
620	C₂³×D₅₃	—	2	8	no	—
621	C₂³×D₅₃	—	4	4	no	—
622	C₂³×D₅₃	—	8	4	no	—
623	C₂³×D₅₃	—	8	4	no	—
624	C₂³×D₅₃	C₂⁴	1	2	yes	—
625	C₂³×D₅₃	C₂⁴	1	2	yes	—
626	C₂³×D₅₃	C₂⁴	1	4	yes	—
627	C₂³×D₅₃	C₂⁴	1	2	yes	—
628	C₂³×D₅₃	C₂⁴	1	2	yes	—
629	C₂³×D₅₃	C₂⁴	1	2	yes	—
630	C₂³×D₅₃	C₂⁴	1	2	yes	—
631	C₂³×D₅₃	C₂⁴	1	2	yes	—
632	C₂³×D₅₃	C₂⁴	1	4	yes	—
633	C₂³×D₅₃	C₂⁴	1	4	yes	—
634	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
635	#41×C₅₃	—	4	4	no	—
636	C₂×Q₈×C₅₃	—	4	2	no	—
637	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
638	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
639	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
640	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
641	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
642	C₂×D₄×C₅₃	—	4	2	no	—
643	C₂×D₄×C₅₃	—	4	4	no	—
644	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
645	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
646	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
647	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
648	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
649	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
650	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
651	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
652	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
653	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
654	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
655	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
656	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
657	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
658	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
659	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
660	C₂×C₂²⋊D₅₃	—	4	4	no	—
661	C₂×C₂²⋊D₅₃	—	4	4	no	—
662	C₂×C₂²⋊D₅₃	—	4	4	no	—
663	C₂×C₂²⋊D₅₃	—	8	4	no	—
664	C₂×C₂²⋊D₅₃	—	8	4	no	—
665	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
666	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
667	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
668	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
669	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
670	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
671	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
672	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
673	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
674	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
675	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
676	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
677	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
678	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
679	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
680	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
681	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
682	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
683	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
684	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
685	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
686	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
687	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
688	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
689	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
690	#11719949	—	4	4	no	—
691	#11719949	—	4	8	no	—
692	#11719949	—	4	4	no	—
693	#11719949	—	4	8	no	—
694	#11719949	—	8	4	no	—
695	#11719947	—	8	4	no	—
696	D₄×D₅₃	—	2	16	no	—
697	D₄×D₅₃	—	4	4	no	—
698	D₄×D₅₃	—	4	4	no	—
699	D₄×D₅₃	—	4	4	no	—
700	D₄×D₅₃	—	4	4	no	—
701	D₄×D₅₃	—	4	8	no	—
702	D₄×D₅₃	—	4	8	no	—
703	D₄×D₅₃	—	4	8	no	—
704	D₄×D₅₃	—	4	8	no	—
705	D₄×D₅₃	—	4	8	no	—
706	D₄×D₅₃	—	8	4	no	—
707	D₄×D₅₃	—	8	4	no	—
708	D₄×D₅₃	—	8	4	no	—
709	D₄×D₅₃	—	8	4	no	—
710	#11719945	—	4	8	no	—
711	#11719945	—	4	4	no	—
712	#11719945	—	8	4	no	—
713	#11719945	—	8	4	no	—
714	C₂×D₂₁₂	—	2	8	no	—
715	C₂×D₂₁₂	—	4	4	no	—
716	C₂×D₂₁₂	—	4	8	no	—
717	C₂×D₂₁₂	—	4	2	no	—
718	C₂×D₂₁₂	—	4	2	no	—
719	C₂×D₂₁₂	—	8	4	no	—
720	C₂×D₂₁₂	—	8	4	no	—
721	C₂×D₂₁₂	C₂⁴	1	4	yes	—
722	C₂×D₂₁₂	C₂⁴	1	4	yes	—
723	C₂×D₂₁₂	C₂⁴	1	4	yes	—
724	C₂×D₂₁₂	C₂⁴	1	4	yes	—
725	C₂×D₂₁₂	C₂⁴	1	4	yes	—
726	C₂×D₂₁₂	C₂⁴	1	4	yes	—
727	C₂×D₂₁₂	C₂⁴	1	4	yes	—
728	C₂×D₂₁₂	C₂⁴	1	2	yes	—
729	C₂×D₂₁₂	C₂⁴	1	4	yes	—
730	C₂×D₂₁₂	C₂⁴	1	4	yes	—
731	C₂×D₂₁₂	C₂⁴	1	4	yes	—
732	C₂×D₂₁₂	C₂⁴	1	4	yes	—
733	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
734	C₂×D₂₁₂	C₂⁴	1	2	yes	—
735	C₂×D₂₁₂	C₂⁴	1	2	yes	—
736	C₂×D₂₁₂	C₂⁴	1	2	yes	—
737	C₂×D₂₁₂	C₂⁴	1	2	yes	—
738	C₂×D₂₁₂	C₂⁴	1	4	yes	—
739	C₂×D₂₁₂	C₂⁴	1	4	yes	—
740	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
741	C₂×C₄×D₅₃	—	2	4	no	—
742	C₂×C₄×D₅₃	—	4	4	no	—
743	C₂×C₄×D₅₃	—	4	4	no	—
744	C₂×C₄×D₅₃	—	8	4	no	—
745	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
746	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
747	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
748	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
749	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
750	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
751	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
752	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
753	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
754	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
755	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
756	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
757	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
758	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
759	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
760	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
761	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
762	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
763	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
764	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
765	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
766	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
767	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
768	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
769	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
770	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
771	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
772	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
773	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
774	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
777	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
778	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
779	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
780	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
781	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
782	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
783	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
784	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
785	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
786	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
787	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
788	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
789	C₄²×C₅₃	C₂⁴	1	2	yes	—
790	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
791	C₄²×C₅₃	C₂⁴	1	2	yes	—
792	C₄²×C₅₃	C₂⁴	1	4	yes	—
793	C₄²×C₅₃	C₂⁴	1	2	yes	—
794	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
795	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
796	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
797	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
798	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
799	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
800	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
801	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
802	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
803	#11719921	C₂⁴	1	4	yes	—
804	#11719921	C₂⁴	1	4	yes	—
805	#11719921	C₂⁴	1	4	yes	—
806	#11719921	C₂⁴	1	4	yes	—
807	#11719921	C₂⁴	1	4	yes	—
808	#11719921	C₂⁴	1	4	yes	—
809	#11719921	C₂⁴	1	4	yes	—
810	#11719921	C₂⁴	1	4	yes	—
811	#11719921	C₂⁴	1	4	yes	—
812	#11719921	C₂⁴	1	4	yes	—
813	#11719921	C₂⁴	1	4	yes	—
814	#11719921	C₂⁴	1	4	yes	—
815	#11719921	C₂⁴	1	4	yes	—
816	#11719921	C₂⁴	1	4	yes	—
817	#11719921	C₂⁴	1	4	yes	—
818	#11719921	C₂⁴	1	4	yes	—
819	#11719921	C₂⁴	1	4	yes	—
820	#11719921	C₂⁴	1	4	yes	—
821	#11719921	C₂⁴	1	4	yes	—
822	#11719921	C₂⁴	1	4	yes	—
823	#11719921	C₂⁴	1	4	yes	—
824	#11719921	C₂⁴	1	4	yes	—
825	#11719921	C₂⁴	1	4	yes	—
826	#11719921	C₂⁴	1	4	yes	—
827	#11719921	C₂⁴	1	4	yes	—
828	#11719921	C₂⁴	1	4	yes	—
829	#11719921	C₂⁴	1	4	yes	—
830	#11719921	C₂⁴	1	4	yes	—
831	#11719921	C₂⁴	1	4	yes	—
832	#11719921	C₂⁴	1	4	yes	—
833	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
834	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
835	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
836	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
837	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
838	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
839	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
840	#11719919	C₂⁴	1	4	yes	—
841	#11719919	C₂⁴	1	4	yes	—
842	#11719919	C₂⁴	1	4	yes	—
843	#11719919	C₂⁴	1	4	yes	—
844	#11719919	C₂⁴	1	4	yes	—
845	#11719919	C₂⁴	1	4	yes	—
846	#11719919	C₂⁴	1	4	yes	—
847	#11719919	C₂⁴	1	4	yes	—
848	#11719919	C₂⁴	1	4	yes	—
849	#11719919	C₂⁴	1	4	yes	—
850	#11719919	C₂⁴	1	4	yes	—
851	#11719919	C₂⁴	1	4	yes	—
852	#11719919	C₂⁴	1	4	yes	—
853	#11719919	C₂⁴	1	4	yes	—
854	C₄×Dic₅₃	C₂⁴	1	2	yes	—
855	C₄×Dic₅₃	C₂⁴	1	2	yes	—
856	C₄×Dic₅₃	C₂⁴	1	2	yes	—
857	C₄×Dic₅₃	C₂⁴	1	4	yes	—
858	C₄×Dic₅₃	C₂⁴	1	4	yes	—
859	C₄×Dic₅₃	C₂⁴	1	4	yes	—
860	C₄×Dic₅₃	C₂⁴	1	2	yes	—
861	C₂³×C₅₃	—	2	4	no	—
862	C₂³×C₅₃	—	4	2	no	—
863	C₂³×C₅₃	—	4	4	no	—
864	C₂³×C₅₃	—	4	4	no	—
865	C₂³×C₅₃	C₂⁵	1	2	yes	—
866	C₂³×C₅₃	C₂⁵	1	4	yes	—
867	C₂³×C₅₃	C₂⁵	1	2	yes	—
868	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
869	C₂²×D₅₃	—	2	4	no	—
870	C₂²×D₅₃	—	2	4	no	—
871	C₂²×D₅₃	—	2	4	no	—
872	C₂²×D₅₃	—	2	4	no	—
873	C₂²×D₅₃	—	2	8	no	—
874	C₂²×D₅₃	—	2	4	no	—
875	C₂²×D₅₃	—	2	4	no	—
876	C₂²×D₅₃	—	4	4	no	—
877	C₂²×D₅₃	—	4	2	no	—
878	C₂²×D₅₃	—	4	4	no	—
879	C₂²×D₅₃	—	4	2	no	—
880	C₂²×D₅₃	—	4	4	no	—
881	C₂²×D₅₃	—	4	4	no	—
882	C₂²×D₅₃	—	4	4	no	—
883	C₂²×D₅₃	—	4	4	no	—
884	C₂²×D₅₃	—	4	4	no	—
885	C₂²×D₅₃	—	4	4	no	—
886	C₂²×D₅₃	—	4	4	no	—
887	C₂²×D₅₃	—	4	4	no	—
888	C₂²×D₅₃	—	4	4	no	—
889	C₂²×D₅₃	—	4	4	no	—
890	C₂²×D₅₃	—	4	4	no	—
891	C₂²×D₅₃	—	4	4	no	—
892	C₂²×D₅₃	—	4	4	no	—
893	C₂²×D₅₃	—	8	16	no	—
894	C₂²×D₅₃	—	8	16	no	—
895	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	—
896	C₂²×D₅₃	C₂⁵	1	4	yes	—
897	C₂²×D₅₃	C₂⁵	1	2	yes	—
898	C₂²×D₅₃	C₂⁵	1	4	yes	—
899	C₂²×D₅₃	C₂⁵	1	2	yes	—
900	C₂²×D₅₃	C₂⁵	1	2	yes	—
901	Q₈×C₅₃	—	4	1	no	—
902	Q₈×C₅₃	—	4	2	no	—
903	Q₈×C₅₃	—	4	1	no	—
904	Q₈×C₅₃	—	4	2	no	—
905	Q₈×C₅₃	—	4	2	no	—
906	D₄×C₅₃	—	2	8	no	—
907	D₄×C₅₃	—	4	1	no	—
908	D₄×C₅₃	—	4	2	no	—
909	D₄×C₅₃	—	4	1	no	—
910	D₄×C₅₃	—	4	4	no	—
911	D₄×C₅₃	—	4	2	no	—
912	D₄×C₅₃	—	4	4	no	—
913	D₄×C₅₃	—	4	2	no	—
914	D₄×C₅₃	—	4	4	no	—
915	C₂×C₄×C₅₃	—	2	2	no	—
916	C₂×C₄×C₅₃	—	2	4	no	—
917	C₂×C₄×C₅₃	—	4	2	no	—
918	C₂×C₄×C₅₃	—	4	4	no	—
919	C₂×C₄×C₅₃	—	4	4	no	—
920	C₂×C₄×C₅₃	—	4	2	no	—
921	C₂×C₄×C₅₃	—	4	4	no	—
922	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
923	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
924	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
925	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
926	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
927	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
928	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
929	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
930	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
931	C₂²⋊D₅₃	—	2	8	no	—
932	C₂²⋊D₅₃	—	2	8	no	—
933	C₂²⋊D₅₃	—	4	4	no	—
934	C₂²⋊D₅₃	—	4	4	no	—
935	C₂²⋊D₅₃	—	4	4	no	—
936	C₂²⋊D₅₃	—	4	4	no	—
937	C₂²⋊D₅₃	—	4	4	no	—
938	C₂²⋊D₅₃	—	4	4	no	—
939	C₂²⋊D₅₃	—	4	4	no	—
940	C₂²⋊D₅₃	—	4	2	no	—
941	C₂²⋊D₅₃	—	4	2	no	—
942	C₂²⋊D₅₃	—	4	2	no	—
943	C₂²⋊D₅₃	—	4	2	no	—
944	C₂²⋊D₅₃	—	4	4	no	—
945	C₂²⋊D₅₃	—	4	4	no	—
946	C₂²⋊D₅₃	—	4	4	no	—
947	C₂²⋊D₅₃	—	4	4	no	—
948	C₂²⋊D₅₃	—	4	4	no	—
949	C₂²⋊D₅₃	—	4	4	no	—
950	C₂²⋊D₅₃	—	4	4	no	—
951	C₂×Dic₅₃	—	2	2	no	—
952	C₂×Dic₅₃	—	4	2	no	—
953	C₂×Dic₅₃	—	4	4	no	—
954	C₂×Dic₅₃	—	4	4	no	—
955	C₂×Dic₅₃	—	4	2	no	—
956	C₂×Dic₅₃	C₂⁵	1	4	yes	—
957	C₂×Dic₅₃	C₂⁵	1	4	yes	—
958	C₂×Dic₅₃	C₂⁵	1	4	yes	—
959	C₂×Dic₅₃	C₂⁵	1	4	yes	—
960	C₂×Dic₅₃	C₂⁵	1	2	yes	—
961	D₂₁₂	—	2	8	no	—
962	D₂₁₂	—	2	8	no	—
963	D₂₁₂	—	2	8	no	—
964	D₂₁₂	—	4	2	no	—
965	D₂₁₂	—	4	1	no	—
966	D₂₁₂	—	4	2	no	—
967	D₂₁₂	—	4	1	no	—
968	D₂₁₂	—	4	4	no	—
969	D₂₁₂	—	4	4	no	—
970	D₂₁₂	—	4	2	no	—
971	D₂₁₂	—	4	2	no	—
972	D₂₁₂	—	4	4	no	—
973	D₂₁₂	—	4	2	no	—
974	D₂₁₂	—	4	4	no	—
975	D₂₁₂	—	4	4	no	—
976	D₂₁₂	—	4	4	no	—
977	D₂₁₂	—	4	4	no	—
978	D₂₁₂	—	4	4	no	—
979	D₂₁₂	—	4	4	no	—
980	D₂₁₂	—	4	4	no	—
981	C₄×D₅₃	—	2	4	no	—
982	C₄×D₅₃	—	2	4	no	—
983	C₄×D₅₃	—	2	8	no	—
984	C₄×D₅₃	—	4	4	no	—
985	C₄×D₅₃	—	4	4	no	—
986	C₄×D₅₃	—	4	4	no	—
987	C₄×D₅₃	—	4	4	no	—
988	C₄×D₅₃	—	4	4	no	—
989	C₄×D₅₃	—	4	4	no	—
990	C₄×D₅₃	—	4	4	no	—
991	C₄×D₅₃	—	4	4	no	—
992	C₄×D₅₃	—	4	4	no	—
993	C₄×D₅₃	—	4	4	no	—
994	C₄×D₅₃	—	4	4	no	—
995	C₄×D₅₃	—	4	4	no	—
996	C₄×D₅₃	—	4	4	no	—
997	Dic₁₀₆	—	4	2	no	—
998	Dic₁₀₆	—	4	2	no	—
999	Dic₁₀₆	—	4	4	no	—
1000	#62862	—	53	1	no	maximal, Sylow
1001	C₂²×C₅₃	—	2	2	no	—
1002	C₂²×C₅₃	—	2	2	no	—
1003	C₂²×C₅₃	—	2	4	no	—
1004	C₂²×C₅₃	—	2	2	no	—
1005	C₂²×C₅₃	—	2	4	no	—
1006	C₂²×C₅₃	—	2	4	no	—
1007	C₂²×C₅₃	—	2	4	no	—
1008	C₂²×C₅₃	—	2	4	no	—
1009	C₂²×C₅₃	—	8	4	no	—
1010	C₂²×C₅₃	—	8	4	no	—
1011	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1012	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1013	C₂×D₅₃	—	2	4	no	—
1014	C₂×D₅₃	—	2	4	no	—
1015	C₂×D₅₃	—	2	2	no	—
1016	C₂×D₅₃	—	2	4	no	—
1017	C₂×D₅₃	—	2	2	no	—
1018	C₂×D₅₃	—	2	4	no	—
1019	C₂×D₅₃	—	2	4	no	—
1020	C₂×D₅₃	—	2	4	no	—
1021	C₂×D₅₃	—	2	4	no	—
1022	C₂×D₅₃	—	2	4	no	—
1023	C₂×D₅₃	—	2	4	no	—
1024	C₂×D₅₃	—	4	4	no	—
1025	C₂×D₅₃	—	4	8	no	—
1026	C₂×D₅₃	—	4	8	no	—
1027	C₂×D₅₃	—	8	4	no	—
1028	C₂×D₅₃	—	8	4	no	—
1029	C₂×D₅₃	—	8	8	no	—
1030	C₂×D₅₃	—	8	4	no	—
1031	C₂×D₅₃	—	8	4	no	—
1032	C₂×D₅₃	—	8	8	no	—
1033	C₂×D₅₃	—	8	4	no	—
1034	C₂×D₅₃	—	16	4	no	—
1035	C₂×D₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1036	C₄×C₅₃	—	2	2	no	—
1037	C₄×C₅₃	—	2	1	no	—
1038	C₄×C₅₃	—	2	1	no	—
1039	C₄×C₅₃	—	2	4	no	—
1040	C₄×C₅₃	—	2	2	no	—
1041	C₄×C₅₃	—	2	4	no	—
1042	C₄×C₅₃	—	2	2	no	—
1043	C₄×C₅₃	—	2	4	no	—
1044	C₄×C₅₃	—	2	2	no	—
1045	Dic₅₃	—	2	4	no	—
1046	Dic₅₃	—	2	2	no	—
1047	Dic₅₃	—	2	4	no	—
1048	Dic₅₃	—	2	4	no	—
1049	Dic₅₃	—	2	4	no	—
1050	#3545	—	53	2	no	—
1051	#3545	—	53	1	no	—
1052	#3545	D₅₃	1	1	yes	characteristic, complemented
1053	#3543	—	53	2	no	—
1054	#3543	—	53	2	no	—
1055	#3542	—	53	4	no	—
1056	#3542	—	53	4	no	—
1057	#3542	—	53	4	no	—
1058	#3542	—	53	4	no	—
1059	#3534	—	53	4	no	—
1060	#3534	—	53	4	no	—
1061	#3533	—	53	2	no	—
1062	#3533	—	53	2	no	—
1063	#3533	—	53	4	no	—
1064	#3532	—	53	2	no	—
1065	#3532	—	53	2	no	—
1066	#3532	—	53	4	no	—
1067	#3491	—	53	2	no	—
1068	#3490	—	53	4	no	—
1069	#3485	—	53	2	no	—
1070	#3484	—	53	4	no	—
1071	C₂×#535	—	53	1	no	—
1072	C₂×#534	—	53	2	no	—
1073	C₂×C₅₃	—	2	2	no	—
1074	C₂×C₅₃	—	4	2	no	—
1075	C₂×C₅₃	—	4	2	no	—
1076	C₂×C₅₃	—	4	4	no	—
1077	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1078	C₂×C₅₃	H(7,𝔽₂)	1	2	yes	—
1079	D₅₃	—	2	4	no	—
1080	D₅₃	—	4	2	no	—
1081	D₅₃	—	4	2	no	—
1082	D₅₃	—	4	4	no	—
1083	D₅₃	—	4	4	no	—
1084	C₂×H(5,𝔽₂)	—	53	2	no	—
1085	C₂²×#41	—	53	1	no	—
1086	C₂³×D₄	—	53	1	no	—
1087	C₂³×D₄	—	53	2	no	—
1088	#563	—	53	2	no	—
1089	#563	—	53	1	no	—
1090	#563	C₂×D₅₃	1	1	yes	characteristic, complemented
1091	#562	—	53	4	no	—
1092	#562	—	53	2	no	—
1093	#562	—	53	4	no	—
1094	#562	—	53	4	no	—
1095	#562	—	53	4	no	—
1096	#562	—	53	4	no	—
1097	#562	C₂×D₅₃	1	2	yes	complemented
1098	H(3,𝔽₄)	—	53	1	no	—
1099	H(3,𝔽₄)	—	53	2	no	—
1100	H(3,𝔽₄)	C₂×D₅₃	1	1	yes	characteristic, complemented
1101	#560	—	53	4	no	—
1102	#560	—	53	4	no	—
1103	#560	—	53	4	no	—
1104	#560	—	53	2	no	—
1105	#560	—	53	4	no	—
1106	#560	—	53	4	no	—
1107	#560	—	53	4	no	—
1108	#560	—	53	2	no	—
1109	#560	—	53	4	no	—
1110	#559	—	53	2	no	—
1111	#559	—	53	2	no	—
1112	#555	—	53	2	no	—
1113	#555	—	53	2	no	—
1114	#555	—	53	2	no	—
1115	#555	C₂×D₅₃	1	2	yes	complemented
1116	#553	—	53	4	no	—
1117	#553	—	53	4	no	—
1118	#553	—	53	4	no	—
1119	#553	—	53	4	no	—
1120	#552	—	53	4	no	—
1121	#552	—	53	4	no	—
1122	#552	—	53	4	no	—
1123	#552	—	53	4	no	—
1124	#551	—	53	4	no	—
1125	#551	—	53	4	no	—
1126	#551	—	53	4	no	—
1127	#551	—	53	2	no	—
1128	#551	—	53	4	no	—
1129	#551	—	53	4	no	—
1130	#551	—	53	4	no	—
1131	#551	—	53	4	no	—
1132	#551	—	53	4	no	—
1133	#551	—	53	4	no	—
1134	#551	—	53	4	no	—
1135	#551	—	53	4	no	—
1136	#551	—	53	4	no	—
1137	#551	C₂×D₅₃	1	2	yes	complemented
1138	#551	C₂×D₅₃	1	4	yes	complemented
1139	#550	—	53	4	no	—
1140	#550	—	53	2	no	—
1141	#550	—	53	2	no	—
1142	#547	—	53	4	no	—
1143	#547	—	53	4	no	—
1144	#547	—	53	4	no	—
1145	#547	—	53	4	no	—
1146	#546	—	53	4	no	—
1147	#546	—	53	4	no	—
1148	#546	—	53	4	no	—
1149	#546	—	53	4	no	—
1150	#546	—	53	4	no	—
1151	#546	—	53	4	no	—
1152	#546	—	53	4	no	—
1153	#546	—	53	4	no	—
1154	#546	—	53	4	no	—
1155	#546	—	53	4	no	—
1156	#546	—	53	4	no	—
1157	#546	—	53	4	no	—
1158	#546	—	53	4	no	—
1159	#546	—	53	4	no	—
1160	#546	—	53	4	no	—
1161	#546	—	53	4	no	—
1162	#546	—	53	4	no	—
1163	#546	—	53	4	no	—
1164	#546	—	53	4	no	—
1165	#546	—	53	4	no	—
1166	#546	—	53	4	no	—
1167	#546	—	53	4	no	—
1168	#546	—	53	4	no	—
1169	#546	C₂×D₅₃	1	4	yes	complemented
1170	D₄²	—	53	4	no	—
1171	D₄²	—	53	4	no	—
1172	D₄²	—	53	4	no	—
1173	D₄²	—	53	4	no	—
1174	D₄²	—	53	4	no	—
1175	D₄²	—	53	2	no	—
1176	D₄²	—	53	4	no	—
1177	D₄²	—	53	4	no	—
1178	D₄²	—	53	4	no	—
1179	D₄²	—	53	2	no	—
1180	#543	—	53	2	no	—
1181	#542	—	53	4	no	—
1182	#542	—	53	4	no	—
1183	#542	—	53	4	no	—
1184	#542	C₂×D₅₃	1	4	yes	complemented
1185	#540	—	53	4	no	—
1186	#540	—	53	4	no	—
1187	#540	—	53	4	no	—
1188	#540	—	53	4	no	—
1189	#540	—	53	4	no	—
1190	#540	—	53	4	no	—
1191	#540	—	53	4	no	—
1192	#540	—	53	4	no	—
1193	#539	—	53	4	no	—
1194	#539	—	53	2	no	—
1195	#539	—	53	4	no	—
1196	#539	—	53	2	no	—
1197	#539	—	53	4	no	—
1198	#538	—	53	4	no	—
1199	#538	—	53	4	no	—
1200	#538	—	53	4	no	—
1201	#538	—	53	4	no	—
1202	#538	—	53	4	no	—
1203	#538	—	53	4	no	—
1204	#538	—	53	4	no	—
1205	#538	—	53	4	no	—
1206	#538	—	53	4	no	—
1207	#538	—	53	4	no	—
1208	#538	—	53	4	no	—
1209	#538	—	53	4	no	—
1210	#538	—	53	4	no	—
1211	#538	C₂×D₅₃	1	4	yes	complemented
1212	#537	—	53	4	no	—
1213	#537	—	53	4	no	—
1214	#536	—	53	2	no	—
1215	#536	C₂×D₅₃	1	2	yes	complemented
1216	#535	—	53	2	no	—
1217	#535	—	53	2	no	—
1218	#535	—	53	4	no	—
1219	#535	—	53	2	no	—
1220	#535	—	53	2	no	—
1221	#535	—	53	4	no	—
1222	#535	—	53	4	no	—
1223	#535	—	53	4	no	—
1224	#535	—	53	4	no	—
1225	#535	—	53	4	no	—
1226	#535	—	53	4	no	—
1227	#535	—	53	4	no	—
1228	#534	—	53	2	no	—
1229	#534	—	53	2	no	—
1230	#534	—	53	2	no	—
1231	#534	—	53	2	no	—
1232	#534	—	53	4	no	—
1233	#534	—	53	4	no	—
1234	#534	—	53	4	no	—
1235	#534	—	53	4	no	—
1236	#534	—	53	4	no	—
1237	#534	—	53	4	no	—
1238	#534	—	53	2	no	—
1239	#534	—	53	4	no	—
1240	#534	—	53	4	no	—
1241	#534	—	53	2	no	—
1242	#534	—	53	4	no	—
1243	#534	—	53	2	no	—
1244	#534	—	53	4	no	—
1245	#534	—	53	2	no	—
1246	#534	C₂×D₅₃	1	2	yes	complemented
1247	C₂×#127	—	53	1	no	—
1248	C₂×#127	—	53	1	no	—
1249	#529	—	53	4	no	—
1250	#529	—	53	2	no	—
1251	#529	C₂×D₅₃	1	2	yes	complemented
1252	C₂×#124	—	53	1	no	—
1253	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1254	#525	—	53	2	no	—
1255	#525	—	53	4	no	—
1256	#525	—	53	4	no	—
1257	#525	—	53	4	no	—
1258	#525	—	53	4	no	—
1259	#525	—	53	4	no	—
1260	#525	—	53	2	no	—
1261	#525	—	53	4	no	—
1262	C₂×#123	—	53	2	no	—
1263	C₂×#123	—	53	4	no	—
1264	C₂×#123	—	53	2	no	—
1265	C₂×#123	—	53	4	no	—
1266	C₂×#121	—	53	4	no	—
1267	C₂×#121	—	53	4	no	—
1268	C₂×#121	—	53	4	no	—
1269	C₂×#120	—	53	4	no	—
1270	C₂×#120	—	53	2	no	—
1271	C₂×#120	—	53	2	no	—
1272	C₂×#120	—	53	4	no	—
1273	C₂×#120	—	53	4	no	—
1274	C₂×#120	—	53	4	no	—
1275	#518	—	53	4	no	—
1276	#518	—	53	2	no	—
1277	C₂×#117	—	53	1	no	—
1278	C₂²×C₂²⋊C₄	—	53	2	no	—
1279	C₅₃	#62862	1	1	yes	characteristic, complemented, Sylow
1280	C₂⁵	—	53	2	no	—
1281	C₂⁵	—	53	2	no	—
1282	H(5,𝔽₂)	—	212	8	no	—
1283	C₂×#41	—	53	4	no	—
1284	C₂×#41	—	53	4	no	—
1285	C₂×#41	—	53	2	no	—
1286	C₂×#41	—	53	4	no	—
1287	C₂×#41	—	53	2	no	—
1288	C₂×#41	—	53	4	no	—
1289	C₂×#41	—	53	4	no	—
1290	C₂×#41	—	53	4	no	—
1291	C₂×#41	—	53	4	no	—
1292	C₂×#41	—	53	2	no	—
1293	C₂×#41	—	212	4	no	—
1294	C₂×#41	C₂²×D₅₃	1	2	yes	—
1295	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1296	C₂²×D₄	—	53	4	no	—
1297	C₂²×D₄	—	53	4	no	—
1298	C₂²×D₄	—	53	2	no	—
1299	C₂²×D₄	—	53	2	no	—
1300	C₂²×D₄	—	53	2	no	—
1301	C₂²×D₄	—	53	4	no	—
1302	C₂²×D₄	—	53	4	no	—
1303	C₂²×D₄	—	53	4	no	—
1304	C₂²×D₄	—	53	4	no	—
1305	C₂²×D₄	—	53	4	no	—
1306	C₂²×D₄	—	53	2	no	—
1307	C₂²×D₄	—	53	2	no	—
1308	C₂²×D₄	—	53	4	no	—
1309	C₂²×D₄	—	53	2	no	—
1310	C₂²×D₄	—	53	2	no	—
1311	C₂²×D₄	—	53	4	no	—
1312	C₂²×D₄	—	53	4	no	—
1313	C₂²×D₄	—	53	4	no	—
1314	C₂²×D₄	—	53	4	no	—
1315	C₂²×D₄	—	53	2	no	—
1316	C₂²×D₄	—	53	4	no	—
1317	C₂²×D₄	—	53	4	no	—
1318	C₂²×D₄	—	53	4	no	—
1319	C₂²×D₄	—	53	1	no	—
1320	C₂²×D₄	—	53	1	no	—
1321	C₂²×D₄	—	53	2	no	—
1322	C₂²×D₄	—	212	4	no	—
1323	C₂²×D₄	—	212	8	no	—
1324	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1325	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1326	C₂³×C₄	—	53	1	no	—
1327	C₂³×C₄	—	53	4	no	—
1328	C₂³×C₄	—	53	2	no	—
1329	C₂³×C₄	—	53	2	no	—
1330	C₄⋊Q₈	—	53	2	no	—
1331	C₄⋊Q₈	—	53	2	no	—
1332	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1333	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1334	#127	—	53	4	no	—
1335	#127	—	53	2	no	—
1336	#127	—	53	2	no	—
1337	#127	—	53	4	no	—
1338	#127	—	53	4	no	—
1339	#127	—	53	4	no	—
1340	#127	—	53	2	no	—
1341	#127	—	53	2	no	—
1342	#127	—	53	2	no	—
1343	#127	—	53	2	no	—
1344	#127	—	53	4	no	—
1345	#126	—	53	4	no	—
1346	#126	—	53	4	no	—
1347	#126	—	53	4	no	—
1348	#126	—	53	4	no	—
1349	#126	—	53	4	no	—
1350	#126	—	53	4	no	—
1351	#126	—	53	4	no	—
1352	#126	—	53	4	no	—
1353	#126	—	53	4	no	—
1354	#126	—	53	4	no	—
1355	#126	—	53	4	no	—
1356	#126	—	53	4	no	—
1357	#126	—	53	4	no	—
1358	#126	C₂²×D₅₃	1	4	yes	complemented
1359	#126	C₂²×D₅₃	1	4	yes	complemented
1360	#126	C₂²×D₅₃	1	4	yes	complemented
1361	#125	—	53	4	no	—
1362	#125	—	53	4	no	—
1363	#125	—	53	4	no	—
1364	#125	—	53	4	no	—
1365	#125	—	53	2	no	—
1366	#125	—	53	4	no	—
1367	#125	C₂²×D₅₃	1	2	yes	complemented
1368	#124	—	53	2	no	—
1369	#124	—	53	2	no	—
1370	#124	—	53	2	no	—
1371	#124	—	53	2	no	—
1372	#124	—	53	4	no	—
1373	#124	—	53	4	no	—
1374	#124	—	53	2	no	—
1375	#124	—	53	2	no	—
1376	#124	—	53	4	no	—
1377	#124	—	53	4	no	—
1378	#124	—	53	4	no	—
1379	#124	—	53	4	no	—
1380	#124	—	53	4	no	—
1381	#124	—	53	4	no	—
1382	#124	—	53	4	no	—
1383	#124	—	53	2	no	—
1384	#124	—	53	4	no	—
1385	#124	—	53	4	no	—
1386	#124	C₂²×D₅₃	1	1	yes	characteristic
1387	#124	C₂²×D₅₃	1	1	yes	characteristic
1388	#124	C₂²×D₅₃	1	4	yes	complemented
1389	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1390	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1391	#124	C₂²×D₅₃	1	2	yes	complemented
1392	#124	C₂²×D₅₃	1	4	yes	complemented
1393	#124	C₂²×D₅₃	1	2	yes	complemented
1394	#124	C₂²×D₅₃	1	2	yes	complemented
1395	#124	C₂²×D₅₃	1	4	yes	complemented
1396	#123	—	53	4	no	—
1397	#123	—	53	2	no	—
1398	#123	—	53	2	no	—
1399	#123	—	53	4	no	—
1400	#123	—	53	4	no	—
1401	#123	—	53	2	no	—
1402	#123	—	53	2	no	—
1403	#123	—	53	4	no	—
1404	#123	—	53	4	no	—
1405	#123	—	53	4	no	—
1406	#123	—	53	4	no	—
1407	#123	—	53	4	no	—
1408	#123	—	53	4	no	—
1409	#123	—	53	4	no	—
1410	#123	—	53	4	no	—
1411	#123	—	53	4	no	—
1412	#123	—	53	4	no	—
1413	#123	—	53	4	no	—
1414	#123	—	53	4	no	—
1415	#123	—	53	4	no	—
1416	#123	—	53	4	no	—
1417	#123	—	53	4	no	—
1418	#123	—	53	4	no	—
1419	#123	—	53	4	no	—
1420	#123	—	53	4	no	—
1421	#123	—	53	4	no	—
1422	#123	—	53	4	no	—
1423	#123	—	53	4	no	—
1424	#123	—	53	4	no	—
1425	#123	—	53	4	no	—
1426	#123	—	53	4	no	—
1427	#123	—	53	4	no	—
1428	#123	—	53	2	no	—
1429	#123	—	53	4	no	—
1430	#123	—	53	4	no	—
1431	#123	—	53	4	no	—
1432	#123	—	53	2	no	—
1433	#123	—	53	4	no	—
1434	#123	—	53	4	no	—
1435	#123	—	53	4	no	—
1436	#123	—	53	4	no	—
1437	#123	—	53	4	no	—
1438	#123	—	53	4	no	—
1439	#123	—	53	4	no	—
1440	#123	—	53	4	no	—
1441	#123	—	53	4	no	—
1442	#123	—	53	4	no	—
1443	#123	—	53	4	no	—
1444	#123	—	53	4	no	—
1445	#123	C₂²×D₅₃	1	2	yes	—
1446	#123	C₂²×D₅₃	1	4	yes	complemented
1447	#123	C₂²×D₅₃	1	2	yes	complemented
1448	#123	C₂²×D₅₃	1	4	yes	complemented
1449	#123	C₂²×D₅₃	1	4	yes	complemented
1450	#123	C₂²×D₅₃	1	4	yes	complemented
1451	#123	C₂²×D₅₃	1	4	yes	complemented
1452	C₂²⋊Q₈	—	53	4	no	—
1453	C₂²⋊Q₈	—	53	4	no	—
1454	C₂²⋊Q₈	—	53	4	no	—
1455	C₂²⋊Q₈	—	53	4	no	—
1456	C₂²⋊Q₈	—	53	4	no	—
1457	C₂²⋊Q₈	—	53	4	no	—
1458	C₂²⋊Q₈	—	53	2	no	—
1459	C₂²⋊Q₈	—	53	4	no	—
1460	C₂²⋊Q₈	—	53	4	no	—
1461	C₂²⋊Q₈	—	53	4	no	—
1462	C₂²⋊Q₈	—	53	4	no	—
1463	C₂²⋊Q₈	—	53	4	no	—
1464	C₂²⋊Q₈	—	53	4	no	—
1465	C₂²⋊Q₈	—	53	4	no	—
1466	C₂²⋊Q₈	—	53	4	no	—
1467	C₂²⋊Q₈	—	53	4	no	—
1468	C₂²⋊Q₈	—	53	4	no	—
1469	C₂²⋊Q₈	—	53	4	no	—
1470	C₂²⋊Q₈	—	53	4	no	—
1471	C₂²⋊Q₈	—	53	4	no	—
1472	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1473	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1474	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1475	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1476	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1477	#121	—	53	4	no	—
1478	#121	—	53	4	no	—
1479	#121	—	53	4	no	—
1480	#121	—	53	4	no	—
1481	#121	—	53	4	no	—
1482	#121	—	53	4	no	—
1483	#121	—	53	4	no	—
1484	#121	—	53	4	no	—
1485	#121	—	53	4	no	—
1486	#121	—	53	4	no	—
1487	#121	—	53	4	no	—
1488	#121	—	53	4	no	—
1489	#121	—	53	4	no	—
1490	#121	—	53	4	no	—
1491	#121	—	53	4	no	—
1492	#121	—	53	4	no	—
1493	#121	—	53	4	no	—
1494	#121	—	53	4	no	—
1495	#121	—	53	4	no	—
1496	#121	—	53	2	no	—
1497	#121	—	53	4	no	—
1498	#121	—	53	4	no	—
1499	#121	—	53	4	no	—
1500	#121	—	53	4	no	—
1501	#121	—	53	4	no	—
1502	#121	—	53	4	no	—
1503	#121	—	53	4	no	—
1504	#121	—	53	4	no	—
1505	#121	—	53	4	no	—
1506	#121	—	53	4	no	—
1507	#121	—	53	4	no	—
1508	#121	—	53	4	no	—
1509	#121	—	53	4	no	—
1510	#121	—	53	4	no	—
1511	#121	—	53	4	no	—
1512	#121	—	53	4	no	—
1513	#121	—	53	4	no	—
1514	#121	—	53	4	no	—
1515	#121	—	53	4	no	—
1516	#121	—	53	4	no	—
1517	#121	—	53	4	no	—
1518	#121	—	53	4	no	—
1519	#121	—	53	4	no	—
1520	#121	—	53	4	no	—
1521	#121	—	53	4	no	—
1522	#121	—	53	4	no	—
1523	#121	—	53	4	no	—
1524	#121	—	53	4	no	—
1525	#121	—	53	4	no	—
1526	#121	—	53	4	no	—
1527	#121	—	53	4	no	—
1528	#121	—	53	4	no	—
1529	#121	—	53	4	no	—
1530	#121	—	53	4	no	—
1531	#121	—	53	4	no	—
1532	#121	—	53	4	no	—
1533	#121	—	53	4	no	—
1534	#121	—	53	4	no	—
1535	#121	—	53	4	no	—
1536	#121	—	53	4	no	—
1537	#121	—	53	4	no	—
1538	#121	—	53	4	no	—
1539	#121	—	53	4	no	—
1540	#121	—	53	4	no	—
1541	#121	C₂²×D₅₃	1	4	yes	—
1542	#121	C₂²×D₅₃	1	2	yes	—
1543	#121	C₂²×D₅₃	1	4	yes	complemented
1544	#121	C₂²×D₅₃	1	4	yes	complemented
1545	#121	C₂²×D₅₃	1	4	yes	complemented
1546	#120	—	53	2	no	—
1547	#120	—	53	4	no	—
1548	#120	—	53	2	no	—
1549	#120	—	53	4	no	—
1550	#120	—	53	4	no	—
1551	#120	—	53	4	no	—
1552	#120	—	53	4	no	—
1553	#120	—	53	2	no	—
1554	#120	—	53	4	no	—
1555	#120	—	53	2	no	—
1556	#120	—	53	4	no	—
1557	#120	—	53	4	no	—
1558	#120	—	53	4	no	—
1559	#120	—	53	4	no	—
1560	#120	—	53	4	no	—
1561	#120	—	53	4	no	—
1562	#120	—	53	4	no	—
1563	#120	—	53	4	no	—
1564	#120	—	53	4	no	—
1565	#120	—	53	4	no	—
1566	#120	—	53	4	no	—
1567	#120	—	53	4	no	—
1568	#120	—	53	2	no	—
1569	#120	—	53	4	no	—
1570	#120	—	53	4	no	—
1571	#120	—	53	4	no	—
1572	#120	—	53	2	no	—
1573	#120	—	53	4	no	—
1574	#120	—	53	4	no	—
1575	#120	—	53	4	no	—
1576	#120	—	53	4	no	—
1577	#120	—	53	4	no	—
1578	#120	—	53	4	no	—
1579	#120	—	53	4	no	—
1580	#120	—	53	4	no	—
1581	#120	—	53	4	no	—
1582	#120	—	53	4	no	—
1583	#120	—	53	4	no	—
1584	#120	—	53	4	no	—
1585	#120	—	53	4	no	—
1586	#120	—	53	4	no	—
1587	#120	—	53	4	no	—
1588	#120	—	53	4	no	—
1589	#120	—	53	4	no	—
1590	#120	C₂²×D₅₃	1	4	yes	—
1591	#120	C₂²×D₅₃	1	2	yes	—
1592	#120	C₂²×D₅₃	1	2	yes	complemented
1593	#120	C₂²×D₅₃	1	4	yes	complemented
1594	C₄×Q₈	—	53	4	no	—
1595	C₄×Q₈	—	53	2	no	—
1596	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1597	C₄×D₄	—	53	4	no	—
1598	C₄×D₄	—	53	4	no	—
1599	C₄×D₄	—	53	4	no	—
1600	C₄×D₄	—	53	4	no	—
1601	C₄×D₄	—	53	4	no	—
1602	C₄×D₄	—	53	4	no	—
1603	C₄×D₄	—	53	4	no	—
1604	C₄×D₄	—	53	4	no	—
1605	C₄×D₄	—	53	4	no	—
1606	C₄×D₄	—	53	4	no	—
1607	C₄×D₄	—	53	4	no	—
1608	C₄×D₄	—	53	4	no	—
1609	C₄×D₄	—	53	4	no	—
1610	C₄×D₄	—	53	4	no	—
1611	C₄×D₄	—	53	4	no	—
1612	C₄×D₄	—	53	4	no	—
1613	C₄×D₄	—	53	4	no	—
1614	C₄×D₄	—	53	4	no	—
1615	C₄×D₄	—	53	4	no	—
1616	C₄×D₄	—	53	4	no	—
1617	C₄×D₄	—	53	4	no	—
1618	C₄×D₄	—	53	4	no	—
1619	C₄×D₄	—	53	4	no	—
1620	C₄×D₄	—	53	4	no	—
1621	C₄×D₄	—	53	4	no	—
1622	C₄×D₄	—	53	4	no	—
1623	C₄×D₄	—	53	4	no	—
1624	C₄×D₄	—	53	4	no	—
1625	C₄×D₄	—	53	4	no	—
1626	C₄×D₄	—	53	4	no	—
1627	C₄×D₄	—	53	2	no	—
1628	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1629	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1630	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1631	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1632	#117	—	53	2	no	—
1633	#117	—	53	4	no	—
1634	#117	—	53	4	no	—
1635	#117	—	53	4	no	—
1636	#117	—	53	4	no	—
1637	#117	—	53	4	no	—
1638	#117	—	53	4	no	—
1639	#117	—	53	2	no	—
1640	#117	—	53	2	no	—
1641	#117	—	53	4	no	—
1642	#117	—	53	4	no	—
1643	#117	—	53	4	no	—
1644	#117	C₂²×D₅₃	1	2	yes	complemented
1645	#117	C₂²×D₅₃	1	4	yes	complemented
1646	#117	C₂²×D₅₃	1	4	yes	complemented
1647	C₂×C₄⋊C₄	—	53	2	no	—
1648	C₂×C₄⋊C₄	—	53	4	no	—
1649	C₂×C₄⋊C₄	—	53	4	no	—
1650	C₂×C₄⋊C₄	—	53	4	no	—
1651	C₂×C₄⋊C₄	—	53	4	no	—
1652	C₂×C₂²⋊C₄	—	53	2	no	—
1653	C₂×C₂²⋊C₄	—	53	4	no	—
1654	C₂×C₂²⋊C₄	—	53	2	no	—
1655	C₂×C₂²⋊C₄	—	53	4	no	—
1656	C₂×C₂²⋊C₄	—	53	4	no	—
1657	C₂×C₂²⋊C₄	—	53	4	no	—
1658	C₂×C₂²⋊C₄	—	53	4	no	—
1659	C₂×C₂²⋊C₄	—	53	2	no	—
1660	C₂×C₂²⋊C₄	—	53	2	no	—
1661	C₂×C₂²⋊C₄	—	53	2	no	—
1662	C₂×C₂²⋊C₄	—	53	2	no	—
1663	C₂×C₂²⋊C₄	—	53	4	no	—
1664	C₂×C₂²⋊C₄	—	53	4	no	—
1665	C₂×C₂²⋊C₄	—	53	4	no	—
1666	C₂×C₂²⋊C₄	—	53	4	no	—
1667	C₂×C₂²⋊C₄	—	53	4	no	—
1668	C₂×C₂²⋊C₄	—	53	4	no	—
1669	C₂×C₂²⋊C₄	—	53	4	no	—
1670	C₂×C₂²⋊C₄	—	53	4	no	—
1671	C₂×C₂²⋊C₄	—	53	4	no	—
1672	C₂×C₂²⋊C₄	—	53	4	no	—
1673	C₂×C₂²⋊C₄	—	53	4	no	—
1674	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1675	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1676	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1677	C₂×C₄²	—	53	1	no	—
1678	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1679	C₂⁴	—	53	1	no	—
1680	C₂⁴	—	53	2	no	—
1681	C₂⁴	—	53	4	no	—
1682	C₂⁴	—	53	2	no	—
1683	C₂⁴	—	53	2	no	—
1684	C₂⁴	—	53	2	no	—
1685	C₂⁴	—	53	2	no	—
1686	C₂⁴	—	53	2	no	—
1687	C₂⁴	—	53	4	no	—
1688	C₂⁴	—	53	2	no	—
1689	C₂⁴	—	53	4	no	—
1690	C₂⁴	—	106	8	no	—
1691	C₂⁴	—	424	4	no	—
1692	C₂⁴	—	424	4	no	—
1693	C₂⁴	—	212	4	no	—
1694	C₂⁴	C₂³×D₅₃	1	2	yes	—
1695	C₂⁴	C₂³×D₅₃	1	2	yes	—
1696	#41	—	4	4	no	—
1697	#41	—	424	4	no	—
1698	#41	—	424	4	no	—
1699	#41	—	424	4	no	—
1700	#41	—	424	4	no	—
1701	#41	—	212	4	no	—
1702	#41	—	212	8	no	—
1703	#41	—	212	4	no	—
1704	#41	—	212	8	no	—
1705	#41	—	212	4	no	—
1706	#41	—	212	8	no	—
1707	C₂×Q₈	—	4	2	no	—
1708	C₂×Q₈	—	53	4	no	—
1709	C₂×Q₈	—	53	2	no	—
1710	C₂×Q₈	—	53	2	no	—
1711	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1712	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1713	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1714	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1715	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1716	C₂×D₄	—	4	2	no	—
1717	C₂×D₄	—	4	4	no	—
1718	C₂×D₄	—	53	4	no	—
1719	C₂×D₄	—	53	4	no	—
1720	C₂×D₄	—	53	4	no	—
1721	C₂×D₄	—	53	4	no	—
1722	C₂×D₄	—	53	4	no	—
1723	C₂×D₄	—	53	4	no	—
1724	C₂×D₄	—	53	4	no	—
1725	C₂×D₄	—	53	4	no	—
1726	C₂×D₄	—	53	4	no	—
1727	C₂×D₄	—	53	4	no	—
1728	C₂×D₄	—	53	4	no	—
1729	C₂×D₄	—	53	4	no	—
1730	C₂×D₄	—	53	4	no	—
1731	C₂×D₄	—	53	2	no	—
1732	C₂×D₄	—	53	2	no	—
1733	C₂×D₄	—	53	2	no	—
1734	C₂×D₄	—	53	4	no	—
1735	C₂×D₄	—	53	4	no	—
1736	C₂×D₄	—	53	4	no	—
1737	C₂×D₄	—	53	2	no	—
1738	C₂×D₄	—	53	4	no	—
1739	C₂×D₄	—	53	4	no	—
1740	C₂×D₄	—	53	4	no	—
1741	C₂×D₄	—	53	4	no	—
1742	C₂×D₄	—	53	4	no	—
1743	C₂×D₄	—	53	4	no	—
1744	C₂×D₄	—	53	4	no	—
1745	C₂×D₄	—	53	2	no	—
1746	C₂×D₄	—	53	4	no	—
1747	C₂×D₄	—	53	4	no	—
1748	C₂×D₄	—	53	4	no	—
1749	C₂×D₄	—	53	4	no	—
1750	C₂×D₄	—	53	2	no	—
1751	C₂×D₄	—	53	1	no	—
1752	C₂×D₄	—	53	4	no	—
1753	C₂×D₄	—	53	2	no	—
1754	C₂×D₄	—	53	2	no	—
1755	C₂×D₄	—	53	2	no	—
1756	C₂×D₄	—	53	4	no	—
1757	C₂×D₄	—	53	1	no	—
1758	C₂×D₄	—	106	8	no	—
1759	C₂×D₄	—	106	16	no	—
1760	C₂×D₄	—	424	4	no	—
1761	C₂×D₄	—	424	4	no	—
1762	C₂×D₄	—	424	4	no	—
1763	C₂×D₄	—	424	4	no	—
1764	C₂×D₄	—	424	4	no	—
1765	C₂×D₄	—	424	4	no	—
1766	C₂×D₄	—	424	4	no	—
1767	C₂×D₄	—	424	4	no	—
1768	C₂×D₄	—	212	2	no	—
1769	C₂×D₄	—	212	2	no	—
1770	C₂×D₄	—	212	4	no	—
1771	C₂×D₄	—	212	8	no	—
1772	C₂×D₄	—	212	4	no	—
1773	C₂×D₄	—	212	4	no	—
1774	C₂×D₄	—	212	4	no	—
1775	C₂×D₄	—	212	4	no	—
1776	C₂×D₄	—	212	8	no	—
1777	C₂×D₄	—	212	4	no	—
1778	C₂×D₄	—	212	8	no	—
1779	C₂×D₄	—	212	8	no	—
1780	C₂×D₄	—	212	8	no	—
1781	C₂×D₄	—	212	8	no	—
1782	C₂×D₄	—	212	4	no	—
1783	C₂×D₄	—	212	4	no	—
1784	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1785	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1786	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1787	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1788	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1789	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1790	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1791	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1792	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1793	C₂²×C₄	—	53	1	no	—
1794	C₂²×C₄	—	53	2	no	—
1795	C₂²×C₄	—	53	4	no	—
1796	C₂²×C₄	—	53	4	no	—
1797	C₂²×C₄	—	53	2	no	—
1798	C₂²×C₄	—	53	4	no	—
1799	C₂²×C₄	—	53	2	no	—
1800	C₂²×C₄	—	53	2	no	—
1801	C₂²×C₄	—	53	4	no	—
1802	C₂²×C₄	—	53	4	no	—
1803	C₂²×C₄	—	53	4	no	—
1804	C₂²×C₄	—	53	4	no	—
1805	C₂²×C₄	—	53	4	no	—
1806	C₂²×C₄	—	53	4	no	—
1807	C₂²×C₄	—	53	4	no	—
1808	C₂²×C₄	—	53	4	no	—
1809	C₂²×C₄	—	53	4	no	—
1810	C₂²×C₄	—	53	4	no	—
1811	C₂²×C₄	—	53	4	no	—
1812	C₂²×C₄	—	53	4	no	—
1813	C₂²×C₄	—	53	4	no	—
1814	C₂²×C₄	—	106	4	no	—
1815	C₂²×C₄	—	424	4	no	—
1816	C₂²×C₄	—	212	4	no	—
1817	C₂²×C₄	—	212	4	no	—
1818	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1819	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1820	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1821	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1822	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1823	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1824	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1825	C₄⋊C₄	—	53	4	no	—
1826	C₄⋊C₄	—	53	4	no	—
1827	C₄⋊C₄	—	53	4	no	—
1828	C₄⋊C₄	—	53	4	no	—
1829	C₄⋊C₄	—	53	4	no	—
1830	C₄⋊C₄	—	53	4	no	—
1831	C₄⋊C₄	—	53	4	no	—
1832	C₄⋊C₄	—	53	4	no	—
1833	C₄⋊C₄	—	53	4	no	—
1834	C₄⋊C₄	—	53	4	no	—
1835	C₄⋊C₄	—	53	4	no	—
1836	C₄⋊C₄	—	53	4	no	—
1837	C₄⋊C₄	—	53	4	no	—
1838	C₄⋊C₄	—	53	4	no	—
1839	C₄⋊C₄	—	53	4	no	—
1840	C₄⋊C₄	—	53	4	no	—
1841	C₄⋊C₄	—	53	4	no	—
1842	C₄⋊C₄	—	53	4	no	—
1843	C₄⋊C₄	—	53	2	no	—
1844	C₄⋊C₄	—	53	4	no	—
1845	C₄⋊C₄	—	53	2	no	—
1846	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1847	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1848	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1849	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1850	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1851	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1852	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1853	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1854	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1855	C₂²⋊C₄	—	53	4	no	—
1856	C₂²⋊C₄	—	53	2	no	—
1857	C₂²⋊C₄	—	53	2	no	—
1858	C₂²⋊C₄	—	53	4	no	—
1859	C₂²⋊C₄	—	53	4	no	—
1860	C₂²⋊C₄	—	53	4	no	—
1861	C₂²⋊C₄	—	53	4	no	—
1862	C₂²⋊C₄	—	53	4	no	—
1863	C₂²⋊C₄	—	53	4	no	—
1864	C₂²⋊C₄	—	53	4	no	—
1865	C₂²⋊C₄	—	53	4	no	—
1866	C₂²⋊C₄	—	53	4	no	—
1867	C₂²⋊C₄	—	53	4	no	—
1868	C₂²⋊C₄	—	53	4	no	—
1869	C₂²⋊C₄	—	53	4	no	—
1870	C₂²⋊C₄	—	53	4	no	—
1871	C₂²⋊C₄	—	53	4	no	—
1872	C₂²⋊C₄	—	53	4	no	—
1873	C₂²⋊C₄	—	53	4	no	—
1874	C₂²⋊C₄	—	53	4	no	—
1875	C₂²⋊C₄	—	53	4	no	—
1876	C₂²⋊C₄	—	53	4	no	—
1877	C₂²⋊C₄	—	53	4	no	—
1878	C₂²⋊C₄	—	53	4	no	—
1879	C₂²⋊C₄	—	53	4	no	—
1880	C₂²⋊C₄	—	53	4	no	—
1881	C₂²⋊C₄	—	53	4	no	—
1882	C₂²⋊C₄	—	53	4	no	—
1883	C₂²⋊C₄	—	53	4	no	—
1884	C₂²⋊C₄	—	53	4	no	—
1885	C₂²⋊C₄	—	53	4	no	—
1886	C₂²⋊C₄	—	53	4	no	—
1887	C₂²⋊C₄	—	53	4	no	—
1888	C₂²⋊C₄	—	53	4	no	—
1889	C₂²⋊C₄	—	53	4	no	—
1890	C₂²⋊C₄	—	53	4	no	—
1891	C₂²⋊C₄	—	53	4	no	—
1892	C₂²⋊C₄	—	53	4	no	—
1893	C₂²⋊C₄	—	53	4	no	—
1894	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1895	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
1896	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
1897	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1898	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1899	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1900	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1901	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1902	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1903	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1904	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1905	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1906	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1907	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1908	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1909	C₄²	—	53	2	no	—
1910	C₄²	—	53	2	no	—
1911	C₄²	—	53	2	no	—
1912	C₄²	—	53	2	no	—
1913	C₄²	—	53	4	no	—
1914	C₄²	—	53	4	no	—
1915	C₄²	—	53	4	no	—
1916	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1917	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1918	C₄²	C₂³×D₅₃	1	2	yes	—
1919	C₄²	C₂³×D₅₃	1	2	yes	—
1920	C₄²	C₂³×D₅₃	1	4	yes	—
1921	C₄²	C₂³×D₅₃	1	2	yes	—
1922	C₂³	—	2	4	no	—
1923	C₂³	—	4	2	no	—
1924	C₂³	—	4	4	no	—
1925	C₂³	—	4	4	no	—
1926	C₂³	—	53	2	no	—
1927	C₂³	—	53	4	no	—
1928	C₂³	—	53	2	no	—
1929	C₂³	—	53	4	no	—
1930	C₂³	—	53	2	no	—
1931	C₂³	—	53	4	no	—
1932	C₂³	—	106	8	no	—
1933	C₂³	—	106	4	no	—
1934	C₂³	—	106	4	no	—
1935	C₂³	—	106	4	no	—
1936	C₂³	—	106	4	no	—
1937	C₂³	—	106	4	no	—
1938	C₂³	—	106	4	no	—
1939	C₂³	—	424	16	no	—
1940	C₂³	—	424	16	no	—
1941	C₂³	—	212	4	no	—
1942	C₂³	—	212	4	no	—
1943	C₂³	—	212	4	no	—
1944	C₂³	—	212	4	no	—
1945	C₂³	—	212	4	no	—
1946	C₂³	—	212	4	no	—
1947	C₂³	—	212	4	no	—
1948	C₂³	—	212	4	no	—
1949	C₂³	—	212	4	no	—
1950	C₂³	—	212	4	no	—
1951	C₂³	—	212	4	no	—
1952	C₂³	—	212	4	no	—
1953	C₂³	—	212	2	no	—
1954	C₂³	—	212	4	no	—
1955	C₂³	—	212	4	no	—
1956	C₂³	—	212	2	no	—
1957	C₂³	—	212	4	no	—
1958	C₂³	C₂⁴×D₅₃	1	2	yes	—
1959	C₂³	C₂⁴×D₅₃	1	4	yes	—
1960	C₂³	C₂⁴×D₅₃	1	2	yes	—
1961	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1962	Q₈	—	4	1	no	—
1963	Q₈	—	4	2	no	—
1964	Q₈	—	4	1	no	—
1965	Q₈	—	4	2	no	—
1966	Q₈	—	4	2	no	—
1967	Q₈	—	212	2	no	—
1968	Q₈	—	212	4	no	—
1969	Q₈	—	212	2	no	—
1970	D₄	—	2	8	no	—
1971	D₄	—	4	1	no	—
1972	D₄	—	4	2	no	—
1973	D₄	—	4	1	no	—
1974	D₄	—	4	4	no	—
1975	D₄	—	4	4	no	—
1976	D₄	—	4	2	no	—
1977	D₄	—	4	4	no	—
1978	D₄	—	4	2	no	—
1979	D₄	—	106	8	no	—
1980	D₄	—	106	8	no	—
1981	D₄	—	106	8	no	—
1982	D₄	—	106	8	no	—
1983	D₄	—	106	8	no	—
1984	D₄	—	212	4	no	—
1985	D₄	—	212	2	no	—
1986	D₄	—	212	4	no	—
1987	D₄	—	212	4	no	—
1988	D₄	—	212	4	no	—
1989	D₄	—	212	4	no	—
1990	D₄	—	212	4	no	—
1991	D₄	—	212	4	no	—
1992	D₄	—	212	4	no	—
1993	D₄	—	212	1	no	—
1994	D₄	—	212	2	no	—
1995	D₄	—	212	1	no	—
1996	D₄	—	212	4	no	—
1997	D₄	—	212	2	no	—
1998	D₄	—	212	4	no	—
1999	D₄	—	212	2	no	—
2000	D₄	—	212	2	no	—
2001	D₄	—	212	4	no	—
2002	D₄	—	212	4	no	—
2003	D₄	—	212	4	no	—
2004	D₄	—	212	4	no	—
2005	D₄	—	212	4	no	—
2006	D₄	—	212	4	no	—
2007	D₄	—	212	4	no	—
2008	D₄	—	212	4	no	—
2009	D₄	—	212	4	no	—
2010	D₄	—	212	4	no	—
2011	D₄	—	212	4	no	—
2012	D₄	—	212	2	no	—
2013	D₄	—	212	2	no	—
2014	D₄	—	212	2	no	—
2015	D₄	—	212	2	no	—
2016	D₄	—	212	4	no	—
2017	D₄	—	212	4	no	—
2018	D₄	—	212	4	no	—
2019	C₂×C₄	—	2	2	no	—
2020	C₂×C₄	—	2	4	no	—
2021	C₂×C₄	—	4	4	no	—
2022	C₂×C₄	—	4	2	no	—
2023	C₂×C₄	—	4	2	no	—
2024	C₂×C₄	—	4	4	no	—
2025	C₂×C₄	—	4	4	no	—
2026	C₂×C₄	—	53	4	no	—
2027	C₂×C₄	—	53	4	no	—
2028	C₂×C₄	—	53	4	no	—
2029	C₂×C₄	—	53	4	no	—
2030	C₂×C₄	—	53	2	no	—
2031	C₂×C₄	—	106	4	no	—
2032	C₂×C₄	—	106	4	no	—
2033	C₂×C₄	—	106	8	no	—
2034	C₂×C₄	—	106	2	no	—
2035	C₂×C₄	—	212	4	no	—
2036	C₂×C₄	—	212	4	no	—
2037	C₂×C₄	—	212	4	no	—
2038	C₂×C₄	—	212	4	no	—
2039	C₂×C₄	—	212	4	no	—
2040	C₂×C₄	—	212	4	no	—
2041	C₂×C₄	—	212	4	no	—
2042	C₂×C₄	—	212	4	no	—
2043	C₂×C₄	—	212	4	no	—
2044	C₂×C₄	—	212	4	no	—
2045	C₂×C₄	—	212	4	no	—
2046	C₂×C₄	—	212	4	no	—
2047	C₂×C₄	—	212	4	no	—
2048	C₂×C₄	—	212	4	no	—
2049	C₂×C₄	—	212	2	no	—
2050	C₂×C₄	—	212	2	no	—
2051	C₂×C₄	—	212	4	no	—
2052	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2053	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2054	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2055	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2056	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2057	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2058	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2059	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2060	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2061	C₂²	—	2	2	no	—
2062	C₂²	—	2	2	no	—
2063	C₂²	—	2	4	no	—
2064	C₂²	—	2	2	no	—
2065	C₂²	—	2	4	no	—
2066	C₂²	—	2	4	no	—
2067	C₂²	—	2	4	no	—
2068	C₂²	—	2	4	no	—
2069	C₂²	—	8	4	no	—
2070	C₂²	—	8	4	no	—
2071	C₂²	—	53	4	no	—
2072	C₂²	—	848	4	no	—
2073	C₂²	—	106	4	no	—
2074	C₂²	—	106	4	no	—
2075	C₂²	—	106	2	no	—
2076	C₂²	—	106	4	no	—
2077	C₂²	—	106	2	no	—
2078	C₂²	—	106	4	no	—
2079	C₂²	—	106	4	no	—
2080	C₂²	—	106	4	no	—
2081	C₂²	—	106	4	no	—
2082	C₂²	—	106	4	no	—
2083	C₂²	—	106	4	no	—
2084	C₂²	—	424	4	no	—
2085	C₂²	—	424	4	no	—
2086	C₂²	—	424	4	no	—
2087	C₂²	—	424	8	no	—
2088	C₂²	—	424	4	no	—
2089	C₂²	—	424	4	no	—
2090	C₂²	—	424	8	no	—
2091	C₂²	—	212	4	no	—
2092	C₂²	—	212	8	no	—
2093	C₂²	—	212	8	no	—
2094	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2095	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2096	C₄	—	2	2	no	—
2097	C₄	—	2	1	no	—
2098	C₄	—	2	1	no	—
2099	C₄	—	2	2	no	—
2100	C₄	—	2	4	no	—
2101	C₄	—	2	2	no	—
2102	C₄	—	2	4	no	—
2103	C₄	—	2	4	no	—
2104	C₄	—	2	2	no	—
2105	C₄	—	106	2	no	—
2106	C₄	—	106	4	no	—
2107	C₄	—	106	4	no	—
2108	C₄	—	106	4	no	—
2109	C₄	—	106	4	no	—
2110	C₂	—	2	2	no	—
2111	C₂	—	4	2	no	—
2112	C₂	—	4	4	no	—
2113	C₂	—	4	2	no	—
2114	C₂	—	106	4	no	—
2115	C₂	—	212	4	no	—
2116	C₂	—	212	4	no	—
2117	C₂	—	212	2	no	—
2118	C₂	—	212	2	no	—
2119	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2120	C₂	#20289526	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3545	C₂
hypercenter	#3545	D₅₃
hypocenter	C₅₃	#62862
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3545

Complements

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

N	H ≅ G/N	type
1. #20289072	C₂	semidirect
2. #20289069	C₂	semidirect
3. #20289045	C₂	semidirect
4. #20289042	C₂	semidirect
5. #20289038	C₂	semidirect
6. #20289030	C₂	semidirect
7. #20289028	C₂	semidirect
8. #20289027	C₂	semidirect
9. #20288908	C₂	semidirect
10. #20288897	C₂	semidirect
11. #20288891	C₂	semidirect
12. #20288880	C₂	semidirect
13. #20288878	C₂	semidirect
14. #20288872	C₂	semidirect
15. #20288871	C₂	semidirect
16. #20288866	C₂	semidirect
17. #20288407	C₂	semidirect
18. #20288399	C₂	semidirect
19. #20288358	C₂	semidirect
20. #20288345	C₂	semidirect
21. C₂×#16811191	C₂	semidirect
22. #534×D₅₃	C₂	semidirect
23. C₅₃×#3545	C₂	semidirect
24. C₂×#13133263	C₂²	semidirect
25. C₂²×#11719949	C₂²	semidirect
26. C₂²×D₄×D₅₃	C₂²	semidirect
27. C₂²×D₄×D₅₃	C₂²	semidirect
28. #16811373	C₂²	semidirect
29. #16811372	C₂²	semidirect
30. #16811370	C₂²	semidirect
31. #16811369	C₂²	semidirect
32. #16811369	C₂²	semidirect
33. #16811369	C₂²	semidirect
34. #16811367	C₂²	semidirect
35. #16811367	C₂²	semidirect
36. #16811365	C₂²	semidirect
37. #16811365	C₂²	semidirect
38. #16811364	C₂²	semidirect
39. #16811364	C₂²	semidirect
40. #16811364	C₂²	semidirect
41. #16811363	C₂²	semidirect
42. #16811363	C₂²	semidirect
43. #16811362	C₂²	semidirect
44. #16811362	C₂²	semidirect
45. #16811361	C₂²	semidirect
46. #16811361	C₂²	semidirect
47. #16811358	C₂²	semidirect
48. #16811357	C₂²	semidirect
49. #16811339	C₂²	semidirect
50. #16811335	C₂²	semidirect
51. #16811335	C₂²	semidirect
52. #16811324	C₂²	semidirect
53. #16811323	C₂²	semidirect
54. #16811318	C₂²	semidirect
55. #16811317	C₂²	semidirect
56. #16811314	C₂²	semidirect
57. #16811312	C₂²	semidirect
58. #16811309	C₂²	semidirect
59. #16811305	C₂²	semidirect
60. #16811303	C₂²	semidirect
61. #16811303	C₂²	semidirect
62. #16811302	C₂²	semidirect
63. #16811300	C₂²	semidirect
64. #16811300	C₂²	semidirect
65. #16811299	C₂²	semidirect
66. #16811298	C₂²	semidirect
67. #16811298	C₂²	semidirect
68. #16811298	C₂²	semidirect
69. #16811297	C₂²	semidirect
70. #16811297	C₂²	semidirect
71. #16811297	C₂²	semidirect
72. #16811296	C₂²	semidirect
73. #16811295	C₂²	semidirect
74. #16811294	C₂²	semidirect
75. #16811291	C₂²	semidirect
76. #16811276	C₂²	semidirect
77. #16811276	C₂²	semidirect
78. #16811275	C₂²	semidirect
79. #16811275	C₂²	semidirect
80. #16811269	C₂²	semidirect
81. #16811269	C₂²	semidirect
82. #16811268	C₂²	semidirect
83. #16811266	C₂²	semidirect
84. #16811266	C₂²	semidirect
85. #16811266	C₂²	semidirect
86. #16811266	C₂²	semidirect
87. #16811266	C₂²	semidirect
88. #16811265	C₂²	semidirect
89. #16811265	C₂²	semidirect
90. #16811265	C₂²	semidirect
91. #16811265	C₂²	semidirect
92. #16811264	C₂²	semidirect
93. #16811264	C₂²	semidirect
94. #16811264	C₂²	semidirect
95. #16811264	C₂²	semidirect
96. #16811263	C₂²	semidirect
97. #16811263	C₂²	semidirect
98. #16811263	C₂²	semidirect
99. #16811263	C₂²	semidirect
100. #16811262	C₂²	semidirect
101. #16811261	C₂²	semidirect
102. #16811260	C₂²	semidirect
103. D₄×D₂₁₂	C₂²	semidirect
104. D₄×D₂₁₂	C₂²	semidirect
105. D₄×D₂₁₂	C₂²	semidirect
106. #16811257	C₂²	semidirect
107. #16811257	C₂²	semidirect
108. #16811257	C₂²	semidirect
109. D₄×C₂²⋊D₅₃	C₂²	semidirect
110. #16811255	C₂²	semidirect
111. #16811255	C₂²	semidirect
112. #16811255	C₂²	semidirect
113. #16811248	C₂²	semidirect
114. #16811247	C₂²	semidirect
115. #16811243	C₂²	semidirect
116. #16811237	C₂²	semidirect
117. #16811229	C₂²	semidirect
118. #16811228	C₂²	semidirect
119. #16811228	C₂²	semidirect
120. #16811225	C₂²	semidirect
121. #16811225	C₂²	semidirect
122. #16811224	C₂²	semidirect
123. #16811223	C₂²	semidirect
124. #16811223	C₂²	semidirect
125. #16811222	C₂²	semidirect
126. #16811219	C₂²	semidirect
127. #16811218	C₂²	semidirect
128. #16811215	C₂²	semidirect
129. #16811214	C₂²	semidirect
130. #16811213	C₂²	semidirect
131. #16811212	C₂²	semidirect
132. #16811212	C₂²	semidirect
133. #16811212	C₂²	semidirect
134. #16811211	C₂²	semidirect
135. #16811209	C₂²	semidirect
136. #16811209	C₂²	semidirect
137. #16811207	C₂²	semidirect
138. #16811207	C₂²	semidirect
139. #16811207	C₂²	semidirect
140. #16811207	C₂²	semidirect
141. #16811207	C₂²	semidirect
142. #16811206	C₂²	semidirect
143. #16811203	C₂²	semidirect
144. #16811202	C₂²	semidirect
145. #16811197	C₂²	semidirect
146. #16811192	C₂²	semidirect
147. #16811191	C₂²	semidirect
148. #16811191	C₂²	semidirect
149. #16811191	C₂²	semidirect
150. #16811191	C₂²	semidirect
151. #16811191	C₂²	semidirect
152. #16811191	C₂²	semidirect
153. #16811191	C₂²	semidirect
154. #16811191	C₂²	semidirect
155. #16811189	C₂²	semidirect
156. #16811189	C₂²	semidirect
157. #16811188	C₂²	semidirect
158. #16811185	C₂²	semidirect
159. #16811184	C₂²	semidirect
160. #16811184	C₂²	semidirect
161. #16811184	C₂²	semidirect
162. #16811184	C₂²	semidirect
163. #16811184	C₂²	semidirect
164. #16811184	C₂²	semidirect
165. #16811184	C₂²	semidirect
166. #16811183	C₂²	semidirect
167. #16811183	C₂²	semidirect
168. #16811183	C₂²	semidirect
169. #16811183	C₂²	semidirect
170. #16811182	C₂²	semidirect
171. #16811182	C₂²	semidirect
173. #16811181	C₂²	semidirect
174. #16811181	C₂²	semidirect
175. #16811181	C₂²	semidirect
176. C₂×#13133214	C₂²	semidirect
177. C₂×#13133213	C₂²	semidirect
178. #16811157	C₂²	semidirect
179. #16811150	C₂²	semidirect
180. C₂×#13133206	C₂²	semidirect
181. #16811136	C₂²	semidirect
182. #16811136	C₂²	semidirect
183. #16811135	C₂²	semidirect
184. #16811135	C₂²	semidirect
185. #16811132	C₂²	semidirect
186. #16811132	C₂²	semidirect
187. #16811131	C₂²	semidirect
188. #16811130	C₂²	semidirect
189. #123×D₅₃	C₂²	semidirect
190. #123×D₅₃	C₂²	semidirect
191. #123×D₅₃	C₂²	semidirect
192. #123×D₅₃	C₂²	semidirect
193. C₂×#13133190	C₂²	semidirect
194. #121×D₅₃	C₂²	semidirect
195. #121×D₅₃	C₂²	semidirect
196. C₂×#13133187	C₂²	semidirect
197. C₂×#13133187	C₂²	semidirect
198. #120×D₅₃	C₂²	semidirect
199. #120×D₅₃	C₂²	semidirect
200. #120×D₅₃	C₂²	semidirect
201. #120×D₅₃	C₂²	semidirect
202. #16811097	C₂²	semidirect
203. #16811095	C₂²	semidirect
204. C₂×#13133174	C₂²	semidirect
205. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
206. C₅₃×#563	C₂²	semidirect
207. C₅₃×#562	C₂²	semidirect
208. C₅₃×H(3,𝔽₄)	C₂²	semidirect
209. C₅₃×#555	C₂²	semidirect
210. C₅₃×#551	C₂²	semidirect
211. C₅₃×#551	C₂²	semidirect
212. C₅₃×#546	C₂²	semidirect
213. C₅₃×#542	C₂²	semidirect
214. C₅₃×#538	C₂²	semidirect
215. C₅₃×#536	C₂²	semidirect
216. C₅₃×#534	C₂²	semidirect
217. C₅₃×#529	C₂²	semidirect
218. C₂×#124×C₅₃	C₂²	semidirect
220. C₂⁴×D₅₃	C₂³	semidirect
224. C₂×#11719949	C₂³	semidirect
225. C₂×#11719949	C₂³	semidirect
226. C₂×#11719949	C₂³	semidirect
227. C₂×#11719949	C₂³	semidirect
230. C₂×#11719945	C₂³	semidirect
231. C₂×#11719945	C₂³	semidirect
232. C₂×#11719947	C₂³	semidirect
237. C₂²×D₂₁₂	C₂³	semidirect
238. C₂²×D₂₁₂	C₂³	semidirect
239. C₂²×D₂₁₂	C₂³	semidirect
242. C₂²×C₂²⋊D₅₃	C₂³	semidirect
243. C₂²×C₂²⋊D₅₃	C₂³	semidirect
244. C₂²×C₂²⋊D₅₃	C₂³	semidirect
257. C₂×D₄×D₅₃	C₂³	semidirect
258. C₂×D₄×D₅₃	C₂³	semidirect
259. C₂×D₄×D₅₃	C₂³	semidirect
260. C₂×D₄×D₅₃	C₂³	semidirect
262. C₂²×C₄×D₅₃	C₂³	semidirect
263. C₂²×C₄×D₅₃	C₂³	semidirect
264. C₂²×C₄×D₅₃	C₂³	semidirect
265. #13133215	C₂³	semidirect
266. #13133215	C₂³	semidirect
268. #13133214	C₂³	semidirect
269. #13133214	C₂³	semidirect
270. #13133214	C₂³	semidirect
271. #13133214	C₂³	semidirect
273. #13133213	C₂³	semidirect
274. #13133213	C₂³	semidirect
275. #13133213	C₂³	semidirect
276. #13133213	C₂³	semidirect
277. #13133213	C₂³	semidirect
278. #13133212	C₂³	semidirect
279. #13133212	C₂³	semidirect
280. #13133212	C₂³	semidirect
281. #13133212	C₂³	semidirect
282. #13133212	C₂³	semidirect
283. #13133211	C₂³	semidirect
284. #13133211	C₂³	semidirect
285. #13133211	C₂³	semidirect
286. #13133210	C₂³	semidirect
287. #13133210	C₂³	semidirect
288. #13133210	C₂³	semidirect
289. #13133210	C₂³	semidirect
290. #13133210	C₂³	semidirect
291. #13133209	C₂³	semidirect
292. #13133209	C₂³	semidirect
293. #13133208	C₂³	semidirect
294. #13133207	C₂³	semidirect
295. #13133207	C₂³	semidirect
296. #13133207	C₂³	semidirect
298. #13133206	C₂³	semidirect
299. #13133206	C₂³	semidirect
300. #13133206	C₂³	semidirect
301. #13133206	C₂³	semidirect
302. #13133206	C₂³	semidirect
303. #13133206	C₂³	semidirect
304. #13133206	C₂³	semidirect
305. #13133205	C₂³	semidirect
306. #13133205	C₂³	semidirect
307. #13133205	C₂³	semidirect
308. #13133203	C₂³	semidirect
309. #13133203	C₂³	semidirect
310. #13133203	C₂³	semidirect
311. #13133203	C₂³	semidirect
312. #13133203	C₂³	semidirect
313. #13133203	C₂³	semidirect
314. #13133203	C₂³	semidirect
319. #13133202	C₂³	semidirect
320. #13133202	C₂³	semidirect
321. #13133202	C₂³	semidirect
322. #13133202	C₂³	semidirect
323. #13133202	C₂³	semidirect
324. #13133202	C₂³	semidirect
325. #13133202	C₂³	semidirect
326. #13133202	C₂³	semidirect
327. #13133202	C₂³	semidirect
328. #13133202	C₂³	semidirect
329. #13133202	C₂³	semidirect
330. #13133202	C₂³	semidirect
331. #13133202	C₂³	semidirect
332. #13133202	C₂³	semidirect
333. #13133202	C₂³	semidirect
335. #13133201	C₂³	semidirect
336. #13133201	C₂³	semidirect
337. #13133201	C₂³	semidirect
338. #13133201	C₂³	semidirect
339. #13133201	C₂³	semidirect
341. #13133200	C₂³	semidirect
342. #13133200	C₂³	semidirect
343. #13133200	C₂³	semidirect
344. #13133200	C₂³	semidirect
345. #13133200	C₂³	semidirect
346. #13133200	C₂³	semidirect
351. #13133199	C₂³	semidirect
352. #13133199	C₂³	semidirect
353. #13133199	C₂³	semidirect
354. #13133199	C₂³	semidirect
355. #13133199	C₂³	semidirect
356. #13133199	C₂³	semidirect
357. #13133199	C₂³	semidirect
358. #13133199	C₂³	semidirect
359. #13133199	C₂³	semidirect
361. #13133198	C₂³	semidirect
362. #13133198	C₂³	semidirect
363. #13133198	C₂³	semidirect
364. #13133197	C₂³	semidirect
365. #13133197	C₂³	semidirect
366. #13133197	C₂³	semidirect
367. #13133196	C₂³	semidirect
368. #13133196	C₂³	semidirect
369. #13133195	C₂³	semidirect
370. #13133195	C₂³	semidirect
371. #13133195	C₂³	semidirect
372. #13133195	C₂³	semidirect
373. #13133195	C₂³	semidirect
374. #13133194	C₂³	semidirect
375. #13133194	C₂³	semidirect
376. #13133194	C₂³	semidirect
377. #13133194	C₂³	semidirect
378. #13133193	C₂³	semidirect
379. #13133193	C₂³	semidirect
380. #13133193	C₂³	semidirect
381. #13133193	C₂³	semidirect
382. #13133193	C₂³	semidirect
383. #13133193	C₂³	semidirect
387. #13133192	C₂³	semidirect
388. #13133192	C₂³	semidirect
389. #13133192	C₂³	semidirect
390. #13133192	C₂³	semidirect
391. #13133192	C₂³	semidirect
392. #13133192	C₂³	semidirect
393. #13133192	C₂³	semidirect
394. #13133192	C₂³	semidirect
395. #13133192	C₂³	semidirect
396. #13133192	C₂³	semidirect
397. #13133192	C₂³	semidirect
400. #13133191	C₂³	semidirect
401. #13133191	C₂³	semidirect
402. #13133191	C₂³	semidirect
403. #13133191	C₂³	semidirect
404. #13133191	C₂³	semidirect
405. #13133191	C₂³	semidirect
412. #13133190	C₂³	semidirect
413. #13133190	C₂³	semidirect
414. #13133190	C₂³	semidirect
415. #13133190	C₂³	semidirect
416. #13133190	C₂³	semidirect
417. #13133190	C₂³	semidirect
418. #13133190	C₂³	semidirect
419. #13133190	C₂³	semidirect
420. #13133190	C₂³	semidirect
421. #13133190	C₂³	semidirect
422. #13133190	C₂³	semidirect
423. #13133190	C₂³	semidirect
424. #13133190	C₂³	semidirect
425. #13133190	C₂³	semidirect
426. #13133190	C₂³	semidirect
427. #13133190	C₂³	semidirect
428. #13133190	C₂³	semidirect
429. #13133190	C₂³	semidirect
430. #13133190	C₂³	semidirect
431. #13133190	C₂³	semidirect
432. #13133190	C₂³	semidirect
436. #13133189	C₂³	semidirect
437. #13133189	C₂³	semidirect
438. #13133189	C₂³	semidirect
439. #13133189	C₂³	semidirect
440. #13133189	C₂³	semidirect
441. #13133189	C₂³	semidirect
442. #13133189	C₂³	semidirect
444. #13133188	C₂³	semidirect
445. #13133188	C₂³	semidirect
446. #13133188	C₂³	semidirect
447. #13133188	C₂³	semidirect
458. #13133187	C₂³	semidirect
459. #13133187	C₂³	semidirect
460. #13133187	C₂³	semidirect
461. #13133187	C₂³	semidirect
462. #13133187	C₂³	semidirect
463. #13133187	C₂³	semidirect
464. #13133187	C₂³	semidirect
465. #13133187	C₂³	semidirect
466. #13133187	C₂³	semidirect
467. #13133187	C₂³	semidirect
468. #13133187	C₂³	semidirect
469. #13133187	C₂³	semidirect
470. #13133187	C₂³	semidirect
471. #13133187	C₂³	semidirect
472. #13133187	C₂³	semidirect
473. #13133187	C₂³	semidirect
474. #13133187	C₂³	semidirect
475. #13133187	C₂³	semidirect
478. #13133186	C₂³	semidirect
479. #13133186	C₂³	semidirect
486. #13133185	C₂³	semidirect
487. #13133185	C₂³	semidirect
488. #13133185	C₂³	semidirect
489. #13133185	C₂³	semidirect
490. #13133185	C₂³	semidirect
491. #13133185	C₂³	semidirect
492. C₄×Dic₁₀₆	C₂³	semidirect
493. #13133182	C₂³	semidirect
495. C₄×D₂₁₂	C₂³	semidirect
496. C₄×D₂₁₂	C₂³	semidirect
497. C₄×D₂₁₂	C₂³	semidirect
498. C₄×D₂₁₂	C₂³	semidirect
499. C₄×D₂₁₂	C₂³	semidirect
500. C₄×D₂₁₂	C₂³	semidirect
501. C₄×D₂₁₂	C₂³	semidirect
502. C₄×D₂₁₂	C₂³	semidirect
503. D₄×Dic₅₃	C₂³	semidirect
505. #13133179	C₂³	semidirect
506. #13133179	C₂³	semidirect
507. #13133179	C₂³	semidirect
508. #13133179	C₂³	semidirect
509. #13133179	C₂³	semidirect
511. C₄×C₂²⋊D₅₃	C₂³	semidirect
512. C₄×C₂²⋊D₅₃	C₂³	semidirect
513. C₄×C₂²⋊D₅₃	C₂³	semidirect
514. C₄×C₂²⋊D₅₃	C₂³	semidirect
515. C₄×C₂²⋊D₅₃	C₂³	semidirect
516. C₄×C₂²⋊D₅₃	C₂³	semidirect
518. #13133177	C₂³	semidirect
519. #13133177	C₂³	semidirect
520. #13133177	C₂³	semidirect
521. #13133177	C₂³	semidirect
522. #13133177	C₂³	semidirect
523. #13133177	C₂³	semidirect
524. #13133177	C₂³	semidirect
525. #13133176	C₂³	semidirect
526. #13133175	C₂³	semidirect
527. #13133175	C₂³	semidirect
528. #13133175	C₂³	semidirect
529. #13133174	C₂³	semidirect
530. #13133174	C₂³	semidirect
531. #13133174	C₂³	semidirect
532. #13133174	C₂³	semidirect
533. #13133174	C₂³	semidirect
534. #13133174	C₂³	semidirect
535. #13133173	C₂³	semidirect
536. #13133173	C₂³	semidirect
537. C₂×#11719919	C₂³	semidirect
538. C₄⋊C₄×D₅₃	C₂³	semidirect
539. C₄⋊C₄×D₅₃	C₂³	semidirect
540. C₄⋊C₄×D₅₃	C₂³	semidirect
541. C₄⋊C₄×D₅₃	C₂³	semidirect
542. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
545. C₂×#11719921	C₂³	semidirect
546. C₂×#11719921	C₂³	semidirect
547. C₂×#11719921	C₂³	semidirect
553. C₂²⋊C₄×D₅₃	C₂³	semidirect
554. C₂²⋊C₄×D₅₃	C₂³	semidirect
555. C₂²⋊C₄×D₅₃	C₂³	semidirect
556. C₂²⋊C₄×D₅₃	C₂³	semidirect
557. C₂²⋊C₄×D₅₃	C₂³	semidirect
558. C₂²⋊C₄×D₅₃	C₂³	semidirect
559. C₂²⋊C₄×D₅₃	C₂³	semidirect
560. C₂²⋊C₄×D₅₃	C₂³	semidirect
561. C₂²⋊C₄×D₅₃	C₂³	semidirect
562. C₂²⋊C₄×D₅₃	C₂³	semidirect
563. C₂²⋊C₄×D₅₃	C₂³	semidirect
564. C₂×C₄×Dic₅₃	C₂³	semidirect
566. C₂²×Q₈×C₅₃	C₂³	semidirect
568. C₂²×D₄×C₅₃	C₂³	semidirect
569. C₄⋊Q₈×C₅₃	C₂³	semidirect
570. C₄⋊Q₈×C₅₃	C₂³	semidirect
571. #126×C₅₃	C₂³	semidirect
572. #126×C₅₃	C₂³	semidirect
573. #126×C₅₃	C₂³	semidirect
574. #125×C₅₃	C₂³	semidirect
577. #124×C₅₃	C₂³	semidirect
578. #124×C₅₃	C₂³	semidirect
579. #124×C₅₃	C₂³	semidirect
580. #124×C₅₃	C₂³	semidirect
581. #124×C₅₃	C₂³	semidirect
582. #124×C₅₃	C₂³	semidirect
583. #124×C₅₃	C₂³	semidirect
584. #124×C₅₃	C₂³	semidirect
586. #123×C₅₃	C₂³	semidirect
587. #123×C₅₃	C₂³	semidirect
588. #123×C₅₃	C₂³	semidirect
589. #123×C₅₃	C₂³	semidirect
590. #123×C₅₃	C₂³	semidirect
591. #123×C₅₃	C₂³	semidirect
592. C₂²⋊Q₈×C₅₃	C₂³	semidirect
593. C₂²⋊Q₈×C₅₃	C₂³	semidirect
594. C₂²⋊Q₈×C₅₃	C₂³	semidirect
595. C₂²⋊Q₈×C₅₃	C₂³	semidirect
596. C₂²⋊Q₈×C₅₃	C₂³	semidirect
599. #121×C₅₃	C₂³	semidirect
600. #121×C₅₃	C₂³	semidirect
601. #121×C₅₃	C₂³	semidirect
604. #120×C₅₃	C₂³	semidirect
605. #120×C₅₃	C₂³	semidirect
606. C₄×Q₈×C₅₃	C₂³	semidirect
607. C₄×D₄×C₅₃	C₂³	semidirect
608. C₄×D₄×C₅₃	C₂³	semidirect
609. C₄×D₄×C₅₃	C₂³	semidirect
610. C₄×D₄×C₅₃	C₂³	semidirect
611. #117×C₅₃	C₂³	semidirect
612. #117×C₅₃	C₂³	semidirect
613. #117×C₅₃	C₂³	semidirect
614. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
615. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
616. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
617. C₂×C₄²×C₅₃	C₂³	semidirect
1052. #3545	D₅₃	semidirect
1090. #563	C₂×D₅₃	semidirect
1097. #562	C₂×D₅₃	semidirect
1100. H(3,𝔽₄)	C₂×D₅₃	semidirect
1115. #555	C₂×D₅₃	semidirect
1137. #551	C₂×D₅₃	semidirect
1138. #551	C₂×D₅₃	semidirect
1169. #546	C₂×D₅₃	semidirect
1184. #542	C₂×D₅₃	semidirect
1211. #538	C₂×D₅₃	semidirect
1215. #536	C₂×D₅₃	semidirect
1246. #534	C₂×D₅₃	semidirect
1251. #529	C₂×D₅₃	semidirect
1253. C₂×#124	C₂×D₅₃	semidirect
1279. C₅₃	#62862	semidirect
1295. C₂²×Q₈	C₂²×D₅₃	semidirect
1325. C₂²×D₄	C₂²×D₅₃	semidirect
1332. C₄⋊Q₈	C₂²×D₅₃	semidirect
1333. C₄⋊Q₈	C₂²×D₅₃	semidirect
1358. #126	C₂²×D₅₃	semidirect
1359. #126	C₂²×D₅₃	semidirect
1360. #126	C₂²×D₅₃	semidirect
1367. #125	C₂²×D₅₃	semidirect
1388. #124	C₂²×D₅₃	semidirect
1389. #124	C₂²×D₅₃	semidirect
1390. #124	C₂²×D₅₃	semidirect
1391. #124	C₂²×D₅₃	semidirect
1392. #124	C₂²×D₅₃	semidirect
1393. #124	C₂²×D₅₃	semidirect
1394. #124	C₂²×D₅₃	semidirect
1395. #124	C₂²×D₅₃	semidirect
1446. #123	C₂²×D₅₃	semidirect
1447. #123	C₂²×D₅₃	semidirect
1448. #123	C₂²×D₅₃	semidirect
1449. #123	C₂²×D₅₃	semidirect
1450. #123	C₂²×D₅₃	semidirect
1451. #123	C₂²×D₅₃	semidirect
1472. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1473. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1474. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1475. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1476. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1543. #121	C₂²×D₅₃	semidirect
1544. #121	C₂²×D₅₃	semidirect
1545. #121	C₂²×D₅₃	semidirect
1592. #120	C₂²×D₅₃	semidirect
1593. #120	C₂²×D₅₃	semidirect
1596. C₄×Q₈	C₂²×D₅₃	semidirect
1628. C₄×D₄	C₂²×D₅₃	semidirect
1629. C₄×D₄	C₂²×D₅₃	semidirect
1630. C₄×D₄	C₂²×D₅₃	semidirect
1631. C₄×D₄	C₂²×D₅₃	semidirect
1644. #117	C₂²×D₅₃	semidirect
1645. #117	C₂²×D₅₃	semidirect
1646. #117	C₂²×D₅₃	semidirect
1674. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1675. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1676. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1678. C₂×C₄²	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20289072	2
#20289069	2
#20289045	2
#20289042	2
#20289038	2
#20289030	2
#20289028	2
#20289027	2
#20288908	2
#20288897	2
#20288891	2
#20288880	2
#20288878	2
#20288872	2
#20288871	2
#20288866	2
#20288407	2
#20288399	2
#20288358	2
#20288345	2
C₂×#16811191	2
#534×D₅₃	2
C₅₃×#3545	2
#62862	53