Subgroups — #28330630

Order 13568.

1812 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291672	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291669	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291667	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291663	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291654	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291652	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291606	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291605	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291599	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291590	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291588	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291585	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291583	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291583	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291582	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291548	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291547	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291539	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291537	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291531	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291530	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291460	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291459	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291450	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291449	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291449	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291446	C₂	1	1	yes	maximal, characteristic, complemented
28	#20291438	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291435	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291433	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288852	C₂	1	1	yes	maximal, characteristic
32	C₂×#13133305	C₂²	1	1	yes	characteristic
33	C₂×#13133304	C₂²	1	1	yes	characteristic
34	C₂×#13133304	C₂²	1	1	yes	characteristic
35	C₂×#13133304	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₅₃⋊M₁₆	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₅₃⋊M₁₆	C₂²	1	1	yes	characteristic, complemented
38	#16811675	C₂²	1	1	yes	characteristic, complemented
39	#16811675	C₂²	1	1	yes	characteristic, complemented
40	#16811674	C₂²	1	1	yes	characteristic, complemented
41	#16811674	C₂²	1	1	yes	characteristic, complemented
42	#16811674	C₂²	1	1	yes	characteristic, complemented
43	#16811673	C₂²	1	1	yes	characteristic, complemented
44	#16811672	C₂²	1	1	yes	characteristic, complemented
45	Q₈×#88324	C₂²	1	1	yes	characteristic, complemented
46	#16811658	C₂²	1	1	yes	characteristic
47	#16811658	C₂²	1	1	yes	characteristic, complemented
48	#16811658	C₂²	1	1	yes	characteristic, complemented
49	#16811657	C₂²	1	1	yes	characteristic
50	#16811657	C₂²	1	1	yes	characteristic
51	#16811657	C₂²	1	1	yes	characteristic
52	#16811657	C₂²	1	1	yes	characteristic, complemented
53	#16811657	C₂²	1	1	yes	characteristic, complemented
54	#16811656	C₂²	1	1	yes	characteristic
55	#16811656	C₂²	1	1	yes	characteristic
56	#16811656	C₂²	1	1	yes	characteristic, complemented
57	#16811656	C₂²	1	1	yes	characteristic, complemented
58	#16811656	C₂²	1	1	yes	characteristic, complemented
59	#16811656	C₂²	1	1	yes	characteristic, complemented
60	#16811656	C₂²	1	1	yes	characteristic, complemented
61	#16811656	C₂²	1	1	yes	characteristic, complemented
62	#16811656	C₂²	1	1	yes	characteristic, complemented
63	#16811656	C₂²	1	1	yes	characteristic, complemented
64	#16811655	C₂²	1	1	yes	characteristic
65	#16811655	C₂²	1	1	yes	characteristic
66	#16811655	C₂²	1	1	yes	characteristic, complemented
67	#16811655	C₂²	1	1	yes	characteristic, complemented
68	#16811655	C₂²	1	1	yes	characteristic, complemented
69	#16811655	C₂²	1	1	yes	characteristic, complemented
70	#16811655	C₂²	1	1	yes	characteristic, complemented
71	#16811655	C₂²	1	1	yes	characteristic, complemented
72	#16811655	C₂²	1	1	yes	characteristic, complemented
73	#16811655	C₂²	1	1	yes	characteristic, complemented
74	#16811654	C₂²	1	1	yes	characteristic
75	#16811654	C₂²	1	1	yes	characteristic
76	#16811654	C₂²	1	1	yes	characteristic, complemented
77	#16811654	C₂²	1	1	yes	characteristic, complemented
78	#16811654	C₂²	1	1	yes	characteristic, complemented
79	#16811654	C₂²	1	1	yes	characteristic, complemented
80	#16811653	C₂²	1	1	yes	characteristic
81	#16811653	C₂²	1	1	yes	characteristic
82	#16811653	C₂²	1	1	yes	characteristic
83	#16811653	C₂²	1	1	yes	characteristic
84	#16811653	C₂²	1	1	yes	characteristic
85	#16811653	C₂²	1	1	yes	characteristic
86	#16811653	C₂²	1	1	yes	characteristic, complemented
87	#16811653	C₂²	1	1	yes	characteristic, complemented
88	#16811653	C₂²	1	1	yes	characteristic, complemented
89	#16811653	C₂²	1	1	yes	characteristic, complemented
90	#16811652	C₂²	1	1	yes	characteristic
91	#16811652	C₂²	1	1	yes	characteristic
92	#16811652	C₂²	1	1	yes	characteristic, complemented
93	#16811652	C₂²	1	1	yes	characteristic, complemented
94	#16811652	C₂²	1	1	yes	characteristic, complemented
95	#16811652	C₂²	1	1	yes	characteristic, complemented
96	#16811652	C₂²	1	1	yes	characteristic, complemented
97	#16811652	C₂²	1	1	yes	characteristic, complemented
98	#16811652	C₂²	1	1	yes	characteristic, complemented
99	#16811652	C₂²	1	1	yes	characteristic, complemented
100	#16811651	C₂²	1	1	yes	characteristic
101	#16811651	C₂²	1	1	yes	characteristic
102	#16811651	C₂²	1	1	yes	characteristic
103	#16811651	C₂²	1	1	yes	characteristic, complemented
104	#16811651	C₂²	1	1	yes	characteristic, complemented
105	#16811650	C₂²	1	1	yes	characteristic
106	#16811650	C₂²	1	1	yes	characteristic
107	#16811650	C₂²	1	1	yes	characteristic, complemented
108	#16811650	C₂²	1	1	yes	characteristic, complemented
109	#16811650	C₂²	1	1	yes	characteristic, complemented
110	#16811650	C₂²	1	1	yes	characteristic, complemented
111	#16811650	C₂²	1	1	yes	characteristic, complemented
112	#16811650	C₂²	1	1	yes	characteristic, complemented
113	#16811650	C₂²	1	1	yes	characteristic, complemented
114	#16811650	C₂²	1	1	yes	characteristic, complemented
115	D₄×#88324	C₂²	1	1	yes	characteristic
116	D₄×#88324	C₂²	1	1	yes	characteristic, complemented
117	D₄×#88324	C₂²	1	1	yes	characteristic, complemented
118	#16811648	C₂²	1	1	yes	characteristic, complemented
119	#16811648	C₂²	1	1	yes	characteristic, complemented
120	#16811648	C₂²	1	1	yes	characteristic, complemented
121	#16811648	C₂²	1	1	yes	characteristic, complemented
122	#16811648	C₂²	1	1	yes	characteristic, complemented
123	#16811648	C₂²	1	1	yes	characteristic, complemented
124	#16811648	C₂²	1	1	yes	characteristic, complemented
125	#16811648	C₂²	1	1	yes	characteristic, complemented
126	#16811647	C₂²	1	1	yes	characteristic, complemented
127	#16811647	C₂²	1	1	yes	characteristic, complemented
128	#16811647	C₂²	1	1	yes	characteristic, complemented
129	#16811647	C₂²	1	1	yes	characteristic, complemented
130	#16811646	C₂²	1	1	yes	characteristic, complemented
131	#16811644	C₂²	1	1	yes	characteristic, complemented
132	#16811644	C₂²	1	1	yes	characteristic, complemented
133	#16811643	C₂²	1	1	yes	characteristic, complemented
134	#16811642	C₂²	1	1	yes	characteristic, complemented
135	#16811639	C₂²	1	1	yes	characteristic, complemented
136	#16811630	C₂²	1	1	yes	characteristic, complemented
137	#16811630	C₂²	1	1	yes	characteristic, complemented
138	#16811630	C₂²	1	1	yes	characteristic, complemented
139	#16811630	C₂²	1	1	yes	characteristic, complemented
140	#16811629	C₂²	1	1	yes	characteristic, complemented
141	#16811629	C₂²	1	1	yes	characteristic, complemented
142	#16811626	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133284	C₂²	1	1	yes	characteristic, complemented
144	D₅₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
145	#16811598	C₂²	1	1	yes	characteristic
146	#16811598	C₂²	1	1	yes	characteristic
147	#16811598	C₂²	1	1	yes	characteristic
148	#16811597	C₂²	1	1	yes	characteristic
149	#16811597	C₂²	1	1	yes	characteristic
150	#16811597	C₂²	1	1	yes	characteristic, complemented
151	#16811596	C₂²	1	1	yes	characteristic
152	#16811596	C₂²	1	1	yes	characteristic
153	#16811596	C₂²	1	1	yes	characteristic
154	#16811596	C₂²	1	1	yes	characteristic
155	#16811596	C₂²	1	1	yes	characteristic, complemented
156	#16811596	C₂²	1	1	yes	characteristic, complemented
157	#16811594	C₂²	1	1	yes	characteristic, complemented
158	#16811594	C₂²	1	1	yes	characteristic, complemented
159	C₂×#13133274	C₂²	1	1	yes	characteristic, complemented
160	C₂×#13133274	C₂²	1	1	yes	characteristic, complemented
161	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
162	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
163	#16811588	C₂²	1	1	yes	characteristic, complemented
164	#16811588	C₂²	1	1	yes	characteristic, complemented
165	#16811588	C₂²	1	1	yes	characteristic, complemented
166	#16811588	C₂²	1	1	yes	characteristic, complemented
167	#16811587	C₂²	1	1	yes	characteristic, complemented
168	#16811587	C₂²	1	1	yes	characteristic, complemented
169	C₄×#11719936	C₂²	1	1	yes	characteristic, complemented
170	C₄×#11719940	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₄×#88324	C₂²	1	1	yes	characteristic, complemented
172	#16811377	C₄	1	1	yes	characteristic
173	#16811374	C₄	1	1	yes	characteristic
174	#16811374	C₄	1	1	yes	characteristic
175	#16811370	C₄	1	1	yes	characteristic
176	#16811370	C₄	1	1	yes	characteristic
177	#16811369	C₄	1	1	yes	characteristic
178	#16811369	C₄	1	1	yes	characteristic
179	#16811367	C₄	1	1	yes	characteristic
180	#16811365	C₄	1	1	yes	characteristic
181	#16811363	C₄	1	1	yes	characteristic
182	#16811363	C₄	1	1	yes	characteristic
183	#16811361	C₄	1	1	yes	characteristic
184	#16811361	C₄	1	1	yes	characteristic
185	#16811361	C₄	1	1	yes	characteristic
186	#16811361	C₄	1	1	yes	characteristic
187	#16811172	C₂²	1	1	yes	characteristic
188	#16811168	C₂²	1	1	yes	characteristic
189	#16811168	C₂²	1	1	yes	characteristic
190	#16811159	C₂²	1	1	yes	characteristic
191	#16811159	C₂²	1	1	yes	characteristic
192	#16811158	C₂²	1	1	yes	characteristic
193	#16811152	C₂²	1	1	yes	characteristic
194	#16811150	C₂²	1	1	yes	characteristic
195	#16811150	C₂²	1	1	yes	characteristic
196	#16811136	C₂²	1	1	yes	characteristic
197	#16811136	C₂²	1	1	yes	characteristic
198	#16811133	C₂²	1	1	yes	characteristic
199	#16811133	C₂²	1	1	yes	characteristic
200	#16811131	C₂²	1	1	yes	characteristic
201	#16811131	C₂²	1	1	yes	characteristic
202	C₅₃×#562	C₄	1	1	yes	characteristic
203	#13133305	—	4	2	no	—
204	#13133304	—	4	2	no	—
205	#13133304	—	4	2	no	—
206	#13133304	—	4	2	no	—
207	C₂×#11719936	C₂³	1	1	yes	characteristic
208	C₂×#11719936	C₂³	1	1	yes	characteristic
209	C₂×#11719936	C₂³	1	1	yes	characteristic
210	C₂×#11719936	C₂³	1	1	yes	characteristic
211	C₂×#11719936	C₂³	1	1	yes	characteristic
212	C₂×#11719936	C₂³	1	1	yes	characteristic
213	C₂×#11719936	C₂³	1	1	yes	characteristic
214	C₂×#11719936	C₂³	1	1	yes	characteristic
215	C₂×#11719936	C₂³	1	1	yes	characteristic
216	C₂×#11719936	C₂³	1	1	yes	characteristic
217	D₅₃⋊M₁₆	—	4	2	no	—
218	D₅₃⋊M₁₆	—	4	2	no	—
219	C₂×#11719940	C₂³	1	1	yes	characteristic
220	C₂×#11719940	C₂³	1	1	yes	characteristic
221	C₂×#11719940	C₂³	1	1	yes	characteristic
222	C₂×#11719940	C₂³	1	1	yes	characteristic
223	C₂×#11719940	C₂³	1	1	yes	characteristic
224	C₂×#11719940	C₂³	1	1	yes	characteristic
225	C₂×#11719940	C₂³	1	1	yes	characteristic
226	C₂×#11719940	C₂³	1	1	yes	characteristic
227	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
228	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
229	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
230	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
231	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
232	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
233	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
234	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
235	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
236	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
237	C₂²×#88324	C₂³	1	1	yes	characteristic
238	C₂²×#88324	C₂³	1	1	yes	characteristic
239	C₂²×#88324	C₂³	1	1	yes	characteristic
240	C₂²×#88324	C₂³	1	1	yes	characteristic
241	C₂²×#88324	C₂³	1	1	yes	characteristic
242	C₂²×#88324	C₂³	1	1	yes	characteristic
243	C₂²×#88324	C₂³	1	1	yes	characteristic
244	C₂²×#88324	C₂³	1	1	yes	characteristic
245	#13133284	C₂³	1	1	yes	characteristic
246	#13133284	C₂³	1	1	yes	characteristic
247	#13133284	C₂³	1	1	yes	characteristic
248	#13133284	C₂³	1	1	yes	characteristic
249	#13133284	C₂³	1	1	yes	characteristic
250	#13133284	C₂³	1	1	yes	characteristic
251	#13133284	C₂³	1	1	yes	characteristic
252	#13133284	C₂³	1	1	yes	characteristic
253	#13133284	C₂³	1	1	yes	characteristic
254	#13133284	C₂³	1	1	yes	characteristic
255	#13133284	C₂³	1	1	yes	characteristic
256	#13133284	C₂³	1	1	yes	characteristic
257	C₄⋊#88324	C₂³	1	1	yes	characteristic
258	C₄⋊#88324	C₂³	1	1	yes	characteristic
259	C₄⋊#88324	C₂³	1	1	yes	characteristic
260	C₄⋊#88324	C₂³	1	1	yes	characteristic
261	C₄⋊#88324	C₂³	1	1	yes	characteristic
262	C₄⋊#88324	C₂³	1	1	yes	characteristic
263	C₄⋊#88324	C₂³	1	1	yes	characteristic
264	C₄⋊#88324	C₂³	1	1	yes	characteristic
265	C₄⋊#88324	C₂³	1	1	yes	characteristic
266	C₄⋊#88324	C₂³	1	1	yes	characteristic
267	C₄⋊#88324	C₂³	1	1	yes	characteristic
268	C₄⋊#88324	C₂³	1	1	yes	characteristic
269	#13133274	C₂³	1	1	yes	characteristic
270	#13133274	C₂³	1	1	yes	characteristic
271	#13133274	C₂³	1	1	yes	characteristic
272	#13133274	C₂³	1	1	yes	characteristic
273	#13133274	C₂³	1	1	yes	characteristic
274	#13133274	C₂³	1	1	yes	characteristic
275	#13133274	C₂³	1	1	yes	characteristic
276	#13133274	C₂³	1	1	yes	characteristic
277	#13133274	C₂³	1	1	yes	characteristic
278	#13133274	C₂³	1	1	yes	characteristic
279	#13133274	C₂³	1	1	yes	characteristic
280	#13133274	C₂³	1	1	yes	characteristic
281	#13133274	C₂³	1	1	yes	characteristic
282	#13133274	C₂³	1	1	yes	characteristic
283	#13133274	C₂³	1	1	yes	characteristic
284	#13133274	C₂³	1	1	yes	characteristic
285	#13133274	C₂³	1	1	yes	characteristic
286	#13133274	C₂³	1	1	yes	characteristic
287	#13133274	C₂³	1	1	yes	characteristic
288	#13133274	C₂³	1	1	yes	characteristic
289	C₂²⋊#88324	C₂³	1	1	yes	characteristic
290	C₂²⋊#88324	C₂³	1	1	yes	characteristic
291	C₂²⋊#88324	C₂³	1	1	yes	characteristic
292	C₂²⋊#88324	C₂³	1	1	yes	characteristic
293	C₂²⋊#88324	C₂³	1	1	yes	characteristic
294	C₂²⋊#88324	C₂³	1	1	yes	characteristic
295	C₂²⋊#88324	C₂³	1	1	yes	characteristic
296	C₂²⋊#88324	C₂³	1	1	yes	characteristic
297	C₂²⋊#88324	C₂³	1	1	yes	characteristic
298	C₂²⋊#88324	C₂³	1	1	yes	characteristic
299	C₂²⋊#88324	C₂³	1	1	yes	characteristic
300	C₂²⋊#88324	C₂³	1	1	yes	characteristic
301	C₂²⋊#88324	C₂³	1	1	yes	characteristic
302	C₂²⋊#88324	C₂³	1	1	yes	characteristic
303	C₂²⋊#88324	C₂³	1	1	yes	characteristic
304	C₂²⋊#88324	C₂³	1	1	yes	characteristic
305	#13133272	C₂³	1	1	yes	characteristic
306	#13133272	C₂³	1	1	yes	characteristic
307	#13133272	C₂³	1	1	yes	characteristic
308	#13133272	C₂³	1	1	yes	characteristic
309	#13133272	C₂³	1	1	yes	characteristic
310	#13133272	C₂³	1	1	yes	characteristic
311	#13133272	C₂³	1	1	yes	characteristic
312	#13133272	C₂³	1	1	yes	characteristic
313	#13133272	C₂³	1	1	yes	characteristic
314	#13133272	C₂³	1	1	yes	characteristic
315	#13133272	C₂³	1	1	yes	characteristic
316	#13133272	C₂³	1	1	yes	characteristic
317	C₄×#88324	C₂³	1	1	yes	characteristic
318	C₄×#88324	C₂³	1	1	yes	characteristic
319	C₄×#88324	C₂³	1	1	yes	characteristic
320	C₄×#88324	C₂³	1	1	yes	characteristic
321	C₄×#88324	C₂³	1	1	yes	characteristic
322	C₄×#88324	C₂³	1	1	yes	characteristic
323	C₄×#88324	C₂³	1	1	yes	characteristic
324	C₄×#88324	C₂³	1	1	yes	characteristic
325	C₄×#88324	C₂³	1	1	yes	characteristic
326	C₄×#88324	C₂³	1	1	yes	characteristic
327	C₄×#88324	C₂³	1	1	yes	characteristic
328	C₄×#88324	C₂³	1	1	yes	characteristic
329	C₂×#11719949	C₂³	1	1	yes	characteristic
330	C₂×#11719947	C₂³	1	1	yes	characteristic
331	C₂×#11719947	C₂³	1	1	yes	characteristic
332	C₂×#11719947	C₂³	1	1	yes	characteristic
333	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
335	#13133216	C₂×C₄	1	1	yes	characteristic
336	#13133216	C₂×C₄	1	1	yes	characteristic
337	#13133215	C₂×C₄	1	1	yes	characteristic
338	#13133213	C₂×C₄	1	1	yes	characteristic
339	#13133213	C₂×C₄	1	1	yes	characteristic
340	#13133213	C₂×C₄	1	1	yes	characteristic
341	#13133212	C₂×C₄	1	1	yes	characteristic
342	#13133212	C₂×C₄	1	1	yes	characteristic
343	#13133212	C₂×C₄	1	1	yes	characteristic
344	#13133212	C₂×C₄	1	1	yes	characteristic
345	#13133212	C₂×C₄	1	1	yes	characteristic
346	#13133212	C₂×C₄	1	1	yes	characteristic
347	#13133212	C₂×C₄	1	1	yes	characteristic
348	#13133212	C₂×C₄	1	1	yes	characteristic
349	#13133210	C₂×C₄	1	1	yes	characteristic
350	#13133210	C₂×C₄	1	1	yes	characteristic
351	#13133210	C₂×C₄	1	1	yes	characteristic
352	#13133210	C₂×C₄	1	1	yes	characteristic
353	#13133209	C₂×C₄	1	1	yes	characteristic
354	#13133208	C₂×C₄	1	1	yes	characteristic
355	#13133208	C₂×C₄	1	1	yes	characteristic
356	#13133207	C₂×C₄	1	1	yes	characteristic
357	#13133207	C₂×C₄	1	1	yes	characteristic
358	#13133206	C₂×C₄	1	1	yes	characteristic
359	#13133206	C₂×C₄	1	1	yes	characteristic
360	#13133205	C₂×C₄	1	1	yes	characteristic
361	#13133205	C₂×C₄	1	1	yes	characteristic
362	#13133203	C₂×C₄	1	1	yes	characteristic
363	#13133203	C₂×C₄	1	1	yes	characteristic
364	#13133203	C₂×C₄	1	1	yes	characteristic
365	#13133203	C₂×C₄	1	1	yes	characteristic
366	#13133203	C₂×C₄	1	1	yes	characteristic
367	#13133203	C₂×C₄	1	1	yes	characteristic
368	#13133202	C₂×C₄	1	1	yes	characteristic
369	#13133202	C₂×C₄	1	1	yes	characteristic
370	#13133202	C₂×C₄	1	1	yes	characteristic
371	#13133202	C₂×C₄	1	1	yes	characteristic
372	#13133202	C₂×C₄	1	1	yes	characteristic
373	#13133202	C₂×C₄	1	1	yes	characteristic
374	#13133201	C₂×C₄	1	1	yes	characteristic
375	#13133201	C₂×C₄	1	1	yes	characteristic
376	#13133201	C₂×C₄	1	1	yes	characteristic
377	#13133201	C₂×C₄	1	1	yes	characteristic
378	#13133200	C₂×C₄	1	1	yes	characteristic
379	#13133200	C₂×C₄	1	1	yes	characteristic
380	#13133200	C₂×C₄	1	1	yes	characteristic
381	#13133200	C₂×C₄	1	1	yes	characteristic
382	#13133199	C₂×C₄	1	1	yes	characteristic
383	#13133199	C₂×C₄	1	1	yes	characteristic
384	#13133199	C₂×C₄	1	1	yes	characteristic
385	#13133199	C₂×C₄	1	1	yes	characteristic
386	#13133199	C₂×C₄	1	1	yes	characteristic
387	#13133199	C₂×C₄	1	1	yes	characteristic
388	#13133197	C₂×C₄	1	1	yes	characteristic
389	#13133197	C₂×C₄	1	1	yes	characteristic
390	#13133197	C₂×C₄	1	1	yes	characteristic
391	#13133196	C₂×C₄	1	1	yes	characteristic
392	#13133196	C₂×C₄	1	1	yes	characteristic
393	#13133195	C₂×C₄	1	1	yes	characteristic
394	#13133195	C₂×C₄	1	1	yes	characteristic
395	#13133195	C₂×C₄	1	1	yes	characteristic
396	#13133195	C₂×C₄	1	1	yes	characteristic
397	#13133194	C₂×C₄	1	1	yes	characteristic
398	#13133194	C₂×C₄	1	1	yes	characteristic
399	#13133193	C₂×C₄	1	1	yes	characteristic
400	#13133193	C₂×C₄	1	1	yes	characteristic
401	#13133193	C₂×C₄	1	1	yes	characteristic
402	#13133192	C₂×C₄	1	1	yes	characteristic
403	#13133192	C₂×C₄	1	1	yes	characteristic
404	#13133192	C₂×C₄	1	1	yes	characteristic
405	#13133191	C₂×C₄	1	1	yes	characteristic
406	#13133191	C₂×C₄	1	1	yes	characteristic
407	#13133191	C₂×C₄	1	1	yes	characteristic
408	#13133191	C₂×C₄	1	1	yes	characteristic
409	#13133191	C₂×C₄	1	1	yes	characteristic
410	#13133191	C₂×C₄	1	1	yes	characteristic
411	#13133190	C₂×C₄	1	1	yes	characteristic
412	#13133190	C₂×C₄	1	1	yes	characteristic
413	#13133190	C₂×C₄	1	1	yes	characteristic
414	#13133190	C₂×C₄	1	1	yes	characteristic
415	#13133190	C₂×C₄	1	1	yes	characteristic
416	#13133190	C₂×C₄	1	1	yes	characteristic
417	#13133190	C₂×C₄	1	1	yes	characteristic
418	#13133190	C₂×C₄	1	1	yes	characteristic
419	#13133189	C₂×C₄	1	1	yes	characteristic
420	#13133189	C₂×C₄	1	1	yes	characteristic
421	#13133189	C₂×C₄	1	1	yes	characteristic
422	#13133189	C₂×C₄	1	1	yes	characteristic
423	#13133189	C₂×C₄	1	1	yes	characteristic
424	#13133189	C₂×C₄	1	1	yes	characteristic
425	#13133188	C₂×C₄	1	1	yes	characteristic
426	#13133188	C₂×C₄	1	1	yes	characteristic
427	#13133188	C₂×C₄	1	1	yes	characteristic
428	#13133187	C₂×C₄	1	1	yes	characteristic
429	#13133187	C₂×C₄	1	1	yes	characteristic
430	#13133187	C₂×C₄	1	1	yes	characteristic
431	#13133187	C₂×C₄	1	1	yes	characteristic
432	#13133187	C₂×C₄	1	1	yes	characteristic
433	#13133187	C₂×C₄	1	1	yes	characteristic
434	#13133185	C₂×C₄	1	1	yes	characteristic
435	#13133185	C₂×C₄	1	1	yes	characteristic
436	#13133185	C₂×C₄	1	1	yes	characteristic
437	#13133185	C₂×C₄	1	1	yes	characteristic
438	#13133185	C₂×C₄	1	1	yes	characteristic
439	#13133185	C₂×C₄	1	1	yes	characteristic
440	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic
441	#13133182	C₂³	1	1	yes	characteristic
442	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
443	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
444	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
445	#13133179	C₂³	1	1	yes	characteristic
446	#13133179	C₂³	1	1	yes	characteristic
447	#13133179	C₂³	1	1	yes	characteristic
448	#13133179	C₂³	1	1	yes	characteristic
449	#13133179	C₂³	1	1	yes	characteristic
450	#13133177	C₂³	1	1	yes	characteristic
451	#13133177	C₂³	1	1	yes	characteristic
452	#13133177	C₂³	1	1	yes	characteristic
453	#13133177	C₂³	1	1	yes	characteristic
454	#13133177	C₂³	1	1	yes	characteristic
455	#13133177	C₂³	1	1	yes	characteristic
456	#13133177	C₂³	1	1	yes	characteristic
457	#13133177	C₂³	1	1	yes	characteristic
458	#13133177	C₂³	1	1	yes	characteristic
459	#13133177	C₂³	1	1	yes	characteristic
460	#13133175	C₂³	1	1	yes	characteristic
461	#13133175	C₂³	1	1	yes	characteristic
462	#13133175	C₂³	1	1	yes	characteristic
463	#13133175	C₂³	1	1	yes	characteristic
464	#13133173	C₂³	1	1	yes	characteristic
465	#13133173	C₂³	1	1	yes	characteristic
466	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
467	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
468	C₄²×D₅₃	C₂³	1	1	yes	characteristic
469	#125×C₅₃	C₂×C₄	1	1	yes	characteristic
470	#124×C₅₃	C₂×C₄	1	1	yes	characteristic
471	#124×C₅₃	C₂×C₄	1	1	yes	characteristic
472	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
473	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
474	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
475	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
476	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
477	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
478	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
479	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
480	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
481	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
482	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
483	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
484	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
485	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
493	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
494	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
495	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
496	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
497	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
514	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
515	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
516	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
518	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
519	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
520	#11719949	—	4	1	no	—
521	#11719949	—	4	1	no	—
522	#11719947	—	4	1	no	—
523	#11719947	—	4	1	no	—
524	#11719947	—	4	1	no	—
525	#11719947	—	4	1	no	—
526	#11719947	—	4	1	no	—
527	#11719947	—	4	1	no	—
528	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
529	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
530	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
531	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
532	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
533	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
534	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
535	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄×D₅₃	—	4	1	no	—
537	C₂×C₄×D₅₃	—	4	1	no	—
538	C₂×C₄×D₅₃	—	4	1	no	—
539	C₂×C₄×D₅₃	—	4	1	no	—
540	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
551	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
552	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
553	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
554	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
555	#11719940	—	2	2	no	—
556	#11719940	—	2	2	no	—
557	#11719940	—	2	2	no	—
558	#11719940	—	4	1	no	—
559	#11719940	—	4	1	no	—
560	#11719940	—	4	1	no	—
561	#11719940	—	4	1	no	—
562	#11719940	—	4	1	no	—
563	C₂×#88324	—	2	2	no	—
564	C₂×#88324	—	4	1	no	—
565	C₂×#88324	—	4	1	no	—
566	C₂×#88324	—	4	1	no	—
567	C₂×#88324	—	4	1	no	—
568	C₂×#88324	—	4	1	no	—
569	C₂×#88324	—	4	1	no	—
570	C₂×#88324	—	4	1	no	—
571	C₂×#88324	C₂⁴	1	1	yes	characteristic
572	C₂×#88324	C₂⁴	1	1	yes	characteristic
573	C₂×#88324	C₂⁴	1	1	yes	characteristic
574	C₂×#88324	C₂⁴	1	1	yes	characteristic
575	C₂×#88324	C₂⁴	1	1	yes	characteristic
576	C₂×#88324	C₂⁴	1	1	yes	characteristic
577	C₂×#88324	C₂⁴	1	1	yes	characteristic
578	C₂×#88324	C₂⁴	1	1	yes	characteristic
579	C₂×#88324	C₂⁴	1	1	yes	characteristic
580	C₂×#88324	C₂⁴	1	1	yes	characteristic
581	C₂×#88324	C₂⁴	1	1	yes	characteristic
582	C₂×#88324	C₂⁴	1	1	yes	characteristic
583	C₂×#88324	C₂⁴	1	1	yes	characteristic
584	C₂×#88324	C₂⁴	1	1	yes	characteristic
585	C₂×#88324	C₂⁴	1	1	yes	characteristic
586	C₂×#88324	C₂⁴	1	1	yes	characteristic
587	#11719936	—	2	2	no	—
588	#11719936	—	2	2	no	—
589	#11719936	—	2	2	no	—
590	#11719936	—	4	1	no	—
591	#11719936	—	4	1	no	—
592	#11719936	—	4	1	no	—
593	#11719936	—	4	1	no	—
594	#11719936	—	4	1	no	—
595	#11719936	—	4	1	no	—
596	#11719936	—	4	1	no	—
597	D₅₃⋊C₈	—	2	2	no	—
598	D₅₃⋊C₈	—	2	2	no	—
599	D₅₃⋊C₈	—	4	1	no	—
600	D₅₃⋊C₈	—	4	1	no	—
601	D₅₃⋊C₈	—	4	1	no	—
602	D₅₃⋊C₈	—	4	1	no	—
603	D₅₃⋊C₈	—	4	1	no	—
604	D₅₃⋊C₈	—	4	1	no	—
605	D₅₃⋊C₈	—	4	1	no	—
606	D₅₃⋊C₈	—	4	1	no	—
607	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
608	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
609	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
610	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
611	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
617	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
622	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
623	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
625	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
626	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
628	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
629	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
630	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
631	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
632	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
633	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
634	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
635	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
636	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
637	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
638	#11719921	C₂²×C₄	1	1	yes	characteristic
639	#11719921	C₂²×C₄	1	1	yes	characteristic
640	#11719921	C₂²×C₄	1	1	yes	characteristic
641	#11719921	C₂²×C₄	1	1	yes	characteristic
642	#11719921	C₂²×C₄	1	1	yes	characteristic
643	#11719921	C₂²×C₄	1	1	yes	characteristic
644	#11719921	C₂²×C₄	1	1	yes	characteristic
645	#11719921	C₂²×C₄	1	1	yes	characteristic
646	#11719921	C₂²×C₄	1	1	yes	characteristic
647	#11719921	C₂²×C₄	1	1	yes	characteristic
648	#11719921	C₂²×C₄	1	1	yes	characteristic
649	#11719921	C₂²×C₄	1	1	yes	characteristic
650	#11719921	C₂²×C₄	1	1	yes	characteristic
651	#11719921	C₂²×C₄	1	1	yes	characteristic
652	#11719921	C₂²×C₄	1	1	yes	characteristic
653	#11719921	C₂²×C₄	1	1	yes	characteristic
654	#11719921	C₂²×C₄	1	1	yes	characteristic
655	#11719921	C₂²×C₄	1	1	yes	characteristic
656	#11719921	C₂²×C₄	1	1	yes	characteristic
657	#11719921	C₂²×C₄	1	1	yes	characteristic
658	#11719921	C₂²×C₄	1	1	yes	characteristic
659	#11719921	C₂²×C₄	1	1	yes	characteristic
660	#11719921	C₂²×C₄	1	1	yes	characteristic
661	#11719921	C₂²×C₄	1	1	yes	characteristic
662	#11719921	C₂²×C₄	1	1	yes	characteristic
663	#11719921	C₂²×C₄	1	1	yes	characteristic
664	#11719921	C₂²×C₄	1	1	yes	characteristic
665	#11719921	C₂²×C₄	1	1	yes	characteristic
666	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
667	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
668	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
669	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
670	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
671	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
672	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
676	#11719919	C₂²×C₄	1	1	yes	characteristic
677	#11719919	C₂²×C₄	1	1	yes	characteristic
678	#11719919	C₂²×C₄	1	1	yes	characteristic
679	#11719919	C₂²×C₄	1	1	yes	characteristic
680	#11719919	C₂²×C₄	1	1	yes	characteristic
681	#11719919	C₂²×C₄	1	1	yes	characteristic
682	#11719919	C₂²×C₄	1	1	yes	characteristic
683	#11719919	C₂²×C₄	1	1	yes	characteristic
684	#11719919	C₂²×C₄	1	1	yes	characteristic
685	#11719919	C₂²×C₄	1	1	yes	characteristic
686	#11719919	C₂²×C₄	1	1	yes	characteristic
687	#11719919	C₂²×C₄	1	1	yes	characteristic
688	#11719919	C₂²×C₄	1	1	yes	characteristic
689	#11719919	C₂²×C₄	1	1	yes	characteristic
690	#11719919	C₂²×C₄	1	1	yes	characteristic
691	#11719919	C₂²×C₄	1	1	yes	characteristic
692	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
693	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
694	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
695	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
696	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
697	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
699	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
700	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
701	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
702	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
703	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
704	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
705	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
706	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
707	C₂²×D₅₃	—	4	1	no	—
708	C₂²×D₅₃	—	4	1	no	—
709	C₂²×D₅₃	—	4	1	no	—
710	C₂²×D₅₃	—	4	1	no	—
711	C₂²×D₅₃	—	4	1	no	—
712	C₂²×D₅₃	—	4	1	no	—
713	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
714	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
715	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
716	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
717	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
718	Q₈×C₅₃	—	4	1	no	—
719	Q₈×C₅₃	—	4	1	no	—
720	D₄×C₅₃	—	4	1	no	—
721	D₄×C₅₃	—	4	1	no	—
722	D₄×C₅₃	—	4	1	no	—
723	D₄×C₅₃	—	4	1	no	—
724	D₄×C₅₃	—	4	1	no	—
725	D₄×C₅₃	—	4	1	no	—
726	C₂×C₄×C₅₃	—	4	1	no	—
727	C₂×C₄×C₅₃	—	4	1	no	—
728	C₂×C₄×C₅₃	—	4	1	no	—
729	C₂×C₄×C₅₃	—	4	1	no	—
730	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
731	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
732	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
733	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
734	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
735	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
736	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
737	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
738	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
739	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
740	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
741	C₂²⋊D₅₃	—	4	1	no	—
742	C₂²⋊D₅₃	—	4	1	no	—
743	C₂²⋊D₅₃	—	4	1	no	—
744	C₂²⋊D₅₃	—	4	1	no	—
745	C₂²⋊D₅₃	—	4	1	no	—
746	C₂²⋊D₅₃	—	4	1	no	—
747	C₂²⋊D₅₃	—	4	1	no	—
748	C₂²⋊D₅₃	—	4	1	no	—
749	C₂²⋊D₅₃	—	4	1	no	—
750	C₂²⋊D₅₃	—	4	1	no	—
751	C₂²⋊D₅₃	—	4	1	no	—
752	C₂²⋊D₅₃	—	4	1	no	—
753	C₂²⋊D₅₃	—	4	1	no	—
754	C₂²⋊D₅₃	—	4	1	no	—
755	C₂²⋊D₅₃	—	4	1	no	—
756	C₂²⋊D₅₃	—	4	1	no	—
757	C₂×Dic₅₃	—	2	1	no	—
758	C₂×Dic₅₃	—	2	1	no	—
759	C₂×Dic₅₃	—	2	1	no	—
760	C₂×Dic₅₃	—	2	1	no	—
761	C₂×Dic₅₃	—	2	1	no	—
762	C₂×Dic₅₃	—	2	1	no	—
763	C₂×Dic₅₃	—	2	1	no	—
764	C₂×Dic₅₃	—	2	1	no	—
765	C₂×Dic₅₃	—	4	1	no	—
766	C₂×Dic₅₃	—	4	1	no	—
767	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
768	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
769	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
770	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
771	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
772	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
773	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
774	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
775	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
776	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
777	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
778	D₂₁₂	—	4	1	no	—
779	D₂₁₂	—	4	1	no	—
780	D₂₁₂	—	4	1	no	—
781	D₂₁₂	—	4	1	no	—
782	D₂₁₂	—	4	1	no	—
783	D₂₁₂	—	4	1	no	—
784	D₂₁₂	—	4	1	no	—
785	D₂₁₂	—	4	1	no	—
786	C₄×D₅₃	—	2	1	no	—
787	C₄×D₅₃	—	2	1	no	—
788	C₄×D₅₃	—	2	1	no	—
789	C₄×D₅₃	—	2	1	no	—
790	C₄×D₅₃	—	2	1	no	—
791	C₄×D₅₃	—	2	1	no	—
792	C₄×D₅₃	—	2	1	no	—
793	C₄×D₅₃	—	2	1	no	—
794	C₄×D₅₃	—	2	1	no	—
795	C₄×D₅₃	—	2	1	no	—
796	C₄×D₅₃	—	4	1	no	—
797	C₄×D₅₃	—	4	1	no	—
798	C₄×D₅₃	—	4	1	no	—
799	C₄×D₅₃	—	4	1	no	—
800	C₄×D₅₃	—	4	1	no	—
801	C₄×D₅₃	—	4	1	no	—
802	Dic₁₀₆	—	4	1	no	—
803	Dic₁₀₆	—	4	1	no	—
804	Dic₁₀₆	—	4	1	no	—
805	Dic₁₀₆	—	4	1	no	—
806	#88324	—	2	1	no	—
807	#88324	—	2	1	no	—
808	#88324	—	2	1	no	—
809	#88324	—	2	1	no	—
810	#88324	—	2	1	no	—
811	#88324	—	2	1	no	—
812	#88324	—	2	1	no	—
813	#88324	—	2	1	no	—
814	#88324	—	2	1	no	—
815	#88324	—	2	1	no	—
816	#88324	—	2	1	no	—
817	#88324	—	2	1	no	—
818	#88324	—	2	1	no	—
819	#88324	—	2	1	no	—
820	#88324	—	2	1	no	—
821	#88324	H(5,𝔽₂)	1	2	yes	—
822	#60327	—	53	1	no	maximal, Sylow
823	C₂²×C₅₃	—	2	1	no	—
824	C₂²×C₅₃	—	2	1	no	—
825	C₂²×C₅₃	—	2	1	no	—
826	C₂²×C₅₃	—	2	1	no	—
827	C₂²×C₅₃	—	2	1	no	—
828	C₂²×C₅₃	—	2	1	no	—
829	C₂²×C₅₃	—	2	1	no	—
830	C₂²×C₅₃	—	2	1	no	—
831	C₂²×C₅₃	—	2	1	no	—
832	C₂²×C₅₃	—	2	1	no	—
833	C₂²×C₅₃	—	2	1	no	—
834	C₂²×C₅₃	—	2	1	no	—
835	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
836	C₂×D₅₃	—	2	1	no	—
837	C₂×D₅₃	—	2	1	no	—
838	C₂×D₅₃	—	2	1	no	—
839	C₂×D₅₃	—	2	1	no	—
840	C₂×D₅₃	—	2	1	no	—
841	C₂×D₅₃	—	2	1	no	—
842	C₂×D₅₃	—	2	1	no	—
843	C₂×D₅₃	—	2	1	no	—
844	C₂×D₅₃	—	2	1	no	—
845	C₂×D₅₃	—	2	1	no	—
846	C₂×D₅₃	—	2	1	no	—
847	C₂×D₅₃	—	2	1	no	—
848	C₂×D₅₃	—	2	1	no	—
849	C₂×D₅₃	—	2	1	no	—
850	C₂×D₅₃	—	2	1	no	—
851	C₂×D₅₃	—	8	2	no	—
852	C₂×D₅₃	—	8	2	no	—
853	C₄×C₅₃	—	2	1	no	—
854	C₄×C₅₃	—	2	1	no	—
855	C₄×C₅₃	—	2	1	no	—
856	C₄×C₅₃	—	2	1	no	—
857	C₄×C₅₃	—	2	1	no	—
858	C₄×C₅₃	—	2	1	no	—
859	C₄×C₅₃	—	2	1	no	—
860	C₄×C₅₃	—	2	1	no	—
861	C₄×C₅₃	—	2	1	no	—
862	C₄×C₅₃	—	2	1	no	—
863	C₄×C₅₃	—	2	1	no	—
864	Dic₅₃	—	2	1	no	—
865	Dic₅₃	—	2	1	no	—
866	Dic₅₃	—	2	1	no	—
867	Dic₅₃	—	2	1	no	—
868	Dic₅₃	—	2	1	no	—
869	Dic₅₃	—	2	1	no	—
870	Dic₅₃	—	2	1	no	—
871	Dic₅₃	—	2	1	no	—
872	Dic₅₃	—	2	1	no	—
873	Dic₅₃	—	2	1	no	—
874	Dic₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
875	Dic₅₃	#585	1	1	yes	characteristic
876	#3529	—	53	1	no	—
877	#2995	—	53	1	no	—
878	#2995	—	53	1	no	—
879	#2994	—	53	1	no	—
880	#2994	—	53	1	no	—
881	#2992	—	53	1	no	—
882	#2992	—	53	1	no	—
883	#2981	—	53	1	no	—
884	#2981	—	53	1	no	—
885	#2980	—	53	1	no	—
886	#2977	—	53	1	no	—
887	#2977	—	53	1	no	—
888	#2976	—	53	1	no	—
889	#2976	—	53	1	no	—
890	#2976	—	53	1	no	—
891	#2976	—	53	1	no	—
892	#2969	—	53	1	no	—
893	#2969	—	53	1	no	—
894	#2967	—	53	1	no	—
895	#2967	—	53	1	no	—
896	#2966	—	53	1	no	—
897	#2966	—	53	1	no	—
898	#2935	—	53	1	no	—
899	#2935	—	53	1	no	—
900	#2933	—	53	1	no	—
901	#2933	—	53	1	no	—
902	#2933	—	53	1	no	—
903	#2933	—	53	1	no	—
904	#2931	—	53	1	no	—
905	#2930	—	53	1	no	—
906	#2930	—	53	1	no	—
907	C₂×C₅₃	—	4	1	no	—
908	C₂×C₅₃	—	4	1	no	—
909	C₂×C₅₃	—	4	1	no	—
910	C₂×C₅₃	—	4	1	no	—
911	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
912	C₂×C₅₃	#3573	1	1	yes	characteristic
913	C₂×C₅₃	#3573	1	1	yes	characteristic
914	D₅₃	—	4	1	no	—
915	D₅₃	—	4	1	no	—
916	D₅₃	—	4	1	no	—
917	D₅₃	—	4	1	no	—
918	D₅₃	—	4	1	no	—
919	C₂×#131	—	53	1	no	—
920	C₂×#131	—	53	1	no	—
921	C₂×#131	—	53	1	no	—
922	C₂×#131	—	53	1	no	—
923	C₂²×M₁₆	—	53	1	no	—
924	C₂²×M₁₆	—	53	1	no	—
925	#563	—	53	1	no	—
926	#563	—	53	1	no	—
927	#563	—	53	1	no	—
928	#562	—	53	1	no	—
929	#562	—	53	1	no	—
930	#562	—	53	1	no	—
931	#562	—	53	1	no	—
932	#562	—	53	1	no	—
933	#562	#6157	1	1	yes	characteristic
934	H(3,𝔽₄)	—	53	1	no	—
935	#560	—	53	1	no	—
936	#560	—	53	1	no	—
937	#560	—	53	1	no	—
938	#560	—	53	1	no	—
939	#560	—	53	1	no	—
940	#560	—	53	1	no	—
941	#532	—	53	1	no	—
942	#532	—	53	1	no	—
943	#532	—	53	1	no	—
944	#529	—	53	1	no	—
945	#529	—	53	1	no	—
946	#529	—	53	1	no	—
947	#529	—	53	1	no	—
948	#529	—	53	1	no	—
949	#529	—	53	1	no	—
950	#525	—	53	1	no	—
951	#525	—	53	1	no	—
952	#525	—	53	1	no	—
953	#525	—	53	1	no	—
954	#525	—	53	1	no	—
955	#525	—	53	1	no	—
956	#446	—	53	1	no	—
957	#446	—	53	1	no	—
958	#446	—	53	1	no	—
959	#446	—	53	1	no	—
960	#446	—	53	1	no	—
961	#446	—	53	1	no	—
962	C₈×Q₈	—	53	1	no	—
963	C₈×Q₈	—	53	1	no	—
964	#436	—	53	1	no	—
965	#436	—	53	1	no	—
966	#436	—	53	1	no	—
967	#436	—	53	1	no	—
968	#436	—	53	1	no	—
969	#436	—	53	1	no	—
970	#436	—	53	1	no	—
971	#436	—	53	1	no	—
972	#436	—	53	1	no	—
973	#436	—	53	1	no	—
974	#436	—	53	1	no	—
975	#436	—	53	1	no	—
976	#436	—	53	1	no	—
977	#436	—	53	1	no	—
978	#436	—	53	1	no	—
979	#436	—	53	1	no	—
980	#436	—	53	1	no	—
981	#436	—	53	1	no	—
982	#435	—	53	1	no	—
983	#435	—	53	1	no	—
984	#435	—	53	1	no	—
985	#435	—	53	1	no	—
986	#435	—	53	1	no	—
987	#435	—	53	1	no	—
988	#435	—	53	1	no	—
989	#435	—	53	1	no	—
990	#435	—	53	1	no	—
991	#435	—	53	1	no	—
992	#435	—	53	1	no	—
993	#435	—	53	1	no	—
994	#435	—	53	1	no	—
995	#435	—	53	1	no	—
996	#435	—	53	1	no	—
997	#435	—	53	1	no	—
998	#435	—	53	1	no	—
999	#435	—	53	1	no	—
1000	#435	—	53	1	no	—
1001	#435	—	53	1	no	—
1002	#435	—	53	1	no	—
1003	#435	—	53	1	no	—
1004	#435	—	53	1	no	—
1005	#435	—	53	1	no	—
1006	#435	—	53	1	no	—
1007	#435	—	53	1	no	—
1008	#435	—	53	1	no	—
1009	#435	—	53	1	no	—
1010	#435	—	53	1	no	—
1011	#435	—	53	1	no	—
1012	#435	—	53	1	no	—
1013	#435	—	53	1	no	—
1014	#435	—	53	1	no	—
1015	#435	—	53	1	no	—
1016	#435	—	53	1	no	—
1017	#435	—	53	1	no	—
1018	C₈×D₄	—	53	1	no	—
1019	C₈×D₄	—	53	1	no	—
1020	C₈×D₄	—	53	1	no	—
1021	C₈×D₄	—	53	1	no	—
1022	C₈×D₄	—	53	1	no	—
1023	C₈×D₄	—	53	1	no	—
1024	C₈×D₄	—	53	1	no	—
1025	C₈×D₄	—	53	1	no	—
1026	C₈×D₄	—	53	1	no	—
1027	C₈×D₄	—	53	1	no	—
1028	C₈×D₄	—	53	1	no	—
1029	C₈×D₄	—	53	1	no	—
1030	C₈×D₄	—	53	1	no	—
1031	C₈×D₄	—	53	1	no	—
1032	C₈×D₄	—	53	1	no	—
1033	C₈×D₄	—	53	1	no	—
1034	C₈×D₄	—	53	1	no	—
1035	C₈×D₄	—	53	1	no	—
1036	#433	—	53	1	no	—
1037	#433	—	53	1	no	—
1038	#433	—	53	1	no	—
1039	#433	—	53	1	no	—
1040	#433	—	53	1	no	—
1041	#433	—	53	1	no	—
1042	#433	—	53	1	no	—
1043	#433	—	53	1	no	—
1044	#433	—	53	1	no	—
1045	#433	—	53	1	no	—
1046	#433	—	53	1	no	—
1047	#433	—	53	1	no	—
1048	#432	—	53	1	no	—
1049	#432	—	53	1	no	—
1050	#432	—	53	1	no	—
1051	#432	—	53	1	no	—
1052	#431	—	53	1	no	—
1053	#431	—	53	1	no	—
1054	#424	—	53	1	no	—
1055	#424	—	53	1	no	—
1056	#424	—	53	1	no	—
1057	#424	—	53	1	no	—
1058	#424	—	53	1	no	—
1059	#424	—	53	1	no	—
1060	#423	—	53	1	no	—
1061	C₂×C₄⋊C₈	—	53	1	no	—
1062	C₂×C₄⋊C₈	—	53	1	no	—
1063	#408	—	53	1	no	—
1064	#408	—	53	1	no	—
1065	#408	—	53	1	no	—
1066	#408	—	53	1	no	—
1067	#408	—	53	1	no	—
1068	#408	—	53	1	no	—
1069	#408	—	53	1	no	—
1070	#408	—	53	1	no	—
1071	#408	—	53	1	no	—
1072	#408	—	53	1	no	—
1073	#408	—	53	1	no	—
1074	#408	—	53	1	no	—
1075	#407	—	53	1	no	—
1076	#407	—	53	1	no	—
1077	C₂×C₂²⋊C₈	—	53	1	no	—
1078	C₂×C₂²⋊C₈	—	53	1	no	—
1079	C₂×C₂²⋊C₈	—	53	1	no	—
1080	C₂×C₂²⋊C₈	—	53	1	no	—
1081	#405	—	53	1	no	—
1082	#405	—	53	1	no	—
1083	#405	—	53	1	no	—
1084	#405	—	53	1	no	—
1085	#405	—	53	1	no	—
1086	#405	—	53	1	no	—
1087	C₄×M₁₆	—	53	1	no	—
1088	C₄×M₁₆	—	53	1	no	—
1089	C₂×C₄×C₈	—	53	1	no	—
1090	C₅₃	#60327	1	1	yes	characteristic, complemented, Sylow
1091	C₂×#41	—	53	1	no	—
1092	C₂×#41	—	53	1	no	—
1093	C₂×#41	—	53	1	no	—
1094	C₂×#41	—	53	1	no	—
1095	C₂³×C₄	—	53	1	no	—
1096	C₂³×C₄	—	53	1	no	—
1097	#131	—	212	2	no	—
1098	#131	—	212	2	no	—
1099	#131	—	212	2	no	—
1100	#131	—	212	2	no	—
1101	C₂×M₁₆	—	53	1	no	—
1102	C₂×M₁₆	—	53	1	no	—
1103	C₂×M₁₆	—	53	1	no	—
1104	C₂×M₁₆	—	53	1	no	—
1105	C₂×M₁₆	—	53	1	no	—
1106	C₂×M₁₆	—	53	1	no	—
1107	C₂×M₁₆	—	53	1	no	—
1108	C₂×M₁₆	—	53	1	no	—
1109	C₂×M₁₆	—	53	1	no	—
1110	C₂×M₁₆	—	53	1	no	—
1111	C₂×M₁₆	—	53	1	no	—
1112	C₂×M₁₆	—	53	1	no	—
1113	C₂×M₁₆	—	53	1	no	—
1114	C₂×M₁₆	—	53	1	no	—
1115	C₂×M₁₆	—	53	1	no	—
1116	C₂×M₁₆	—	53	1	no	—
1117	C₂×M₁₆	—	53	1	no	—
1118	C₂×M₁₆	—	53	1	no	—
1119	C₂×M₁₆	—	212	2	no	—
1120	C₂×M₁₆	—	212	2	no	—
1121	C₂²×C₈	—	53	1	no	—
1122	C₂²×C₈	—	53	1	no	—
1123	C₂²×C₈	—	53	1	no	—
1124	C₂²×C₈	—	53	1	no	—
1125	C₂²×C₈	—	53	1	no	—
1126	C₂²×C₈	—	53	1	no	—
1127	C₂²×C₈	—	53	1	no	—
1128	C₂²×C₈	—	53	1	no	—
1129	C₂²×C₈	—	53	1	no	—
1130	C₂²×C₈	—	53	1	no	—
1131	C₂²×C₈	—	53	1	no	—
1132	C₂²×C₈	—	53	1	no	—
1133	C₂²×C₈	—	53	1	no	—
1134	C₂²×C₈	—	53	1	no	—
1135	C₂²×C₈	—	53	1	no	—
1136	C₂²×C₈	—	53	1	no	—
1137	C₂²×C₈	—	53	1	no	—
1138	C₂²×C₈	—	53	1	no	—
1139	C₄⋊Q₈	—	53	1	no	—
1140	C₄⋊Q₈	—	53	1	no	—
1141	C₄⋊Q₈	—	53	1	no	—
1142	#127	—	53	1	no	—
1143	#127	—	53	1	no	—
1144	#127	—	53	1	no	—
1145	#126	—	53	1	no	—
1146	#126	—	53	1	no	—
1147	#126	—	53	1	no	—
1148	#126	—	53	1	no	—
1149	#126	—	53	1	no	—
1150	#126	—	53	1	no	—
1151	#126	—	53	1	no	—
1152	#126	—	53	1	no	—
1153	#126	—	53	1	no	—
1154	#126	—	53	1	no	—
1155	#126	—	53	1	no	—
1156	#126	—	53	1	no	—
1157	#125	—	53	1	no	—
1158	#125	—	53	1	no	—
1159	#125	—	53	1	no	—
1160	#125	—	53	1	no	—
1161	#125	—	53	1	no	—
1162	#125	C₂×#6157	1	1	yes	characteristic
1163	#124	—	53	1	no	—
1164	#124	—	53	1	no	—
1165	#124	—	53	1	no	—
1166	#124	—	53	1	no	—
1167	#124	—	53	1	no	—
1168	#124	—	53	1	no	—
1169	#124	—	53	1	no	—
1170	#124	—	53	1	no	—
1171	#124	—	53	1	no	—
1172	#124	—	53	1	no	—
1173	#124	C₂×#6157	1	1	yes	characteristic
1174	#124	C₂×#6157	1	1	yes	characteristic
1175	#123	—	53	1	no	—
1176	#123	—	53	1	no	—
1177	#123	—	53	1	no	—
1178	#123	—	53	1	no	—
1179	#123	—	53	1	no	—
1180	#123	—	53	1	no	—
1181	#123	—	53	1	no	—
1182	#123	—	53	1	no	—
1183	#123	—	53	1	no	—
1184	#123	—	53	1	no	—
1185	#123	—	53	1	no	—
1186	#123	—	53	1	no	—
1187	#123	—	53	1	no	—
1188	#123	—	53	1	no	—
1189	#123	—	53	1	no	—
1190	#123	—	53	1	no	—
1191	#123	—	53	1	no	—
1192	#123	—	53	1	no	—
1193	#123	—	53	1	no	—
1194	#123	—	53	1	no	—
1195	#123	C₂×#6157	1	1	yes	characteristic
1196	#123	C₂×#6157	1	1	yes	characteristic
1197	#123	C₂×#6157	1	1	yes	characteristic
1198	#123	C₂×#6157	1	1	yes	characteristic
1199	C₂²⋊Q₈	—	53	1	no	—
1200	C₂²⋊Q₈	—	53	1	no	—
1201	C₂²⋊Q₈	—	53	1	no	—
1202	C₂²⋊Q₈	—	53	1	no	—
1203	C₂²⋊Q₈	—	53	1	no	—
1204	C₂²⋊Q₈	—	53	1	no	—
1205	C₂²⋊Q₈	—	53	1	no	—
1206	C₂²⋊Q₈	—	53	1	no	—
1207	C₂²⋊Q₈	—	53	1	no	—
1208	C₂²⋊Q₈	—	53	1	no	—
1209	C₂²⋊Q₈	—	53	1	no	—
1210	C₂²⋊Q₈	—	53	1	no	—
1211	C₂²⋊Q₈	—	53	1	no	—
1212	C₂²⋊Q₈	—	53	1	no	—
1213	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1214	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1215	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1216	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1217	#121	—	53	1	no	—
1218	#121	—	53	1	no	—
1219	#121	—	53	1	no	—
1220	#121	—	53	1	no	—
1221	#121	—	53	1	no	—
1222	#121	—	53	1	no	—
1223	#121	—	53	1	no	—
1224	#121	—	53	1	no	—
1225	#121	—	53	1	no	—
1226	#121	—	53	1	no	—
1227	#121	—	53	1	no	—
1228	#121	—	53	1	no	—
1229	#121	—	53	1	no	—
1230	#121	—	53	1	no	—
1231	#121	—	53	1	no	—
1232	#121	—	53	1	no	—
1233	#121	—	53	1	no	—
1234	#121	—	53	1	no	—
1235	#121	—	53	1	no	—
1236	#121	—	53	1	no	—
1237	#121	—	53	1	no	—
1238	#121	—	53	1	no	—
1239	#121	—	53	1	no	—
1240	#121	—	53	1	no	—
1241	#121	—	53	1	no	—
1242	#121	—	53	1	no	—
1243	#121	C₂×#6157	1	1	yes	characteristic
1244	#121	C₂×#6157	1	1	yes	characteristic
1245	#121	C₂×#6157	1	1	yes	characteristic
1246	#121	C₂×#6157	1	1	yes	characteristic
1247	#120	—	53	1	no	—
1248	#120	—	53	1	no	—
1249	#120	—	53	1	no	—
1250	#120	—	53	1	no	—
1251	#120	—	53	1	no	—
1252	#120	—	53	1	no	—
1253	#120	—	53	1	no	—
1254	#120	—	53	1	no	—
1255	#120	—	53	1	no	—
1256	#120	—	53	1	no	—
1257	#120	—	53	1	no	—
1258	#120	—	53	1	no	—
1259	C₄×Q₈	—	53	1	no	—
1260	C₄×Q₈	—	53	1	no	—
1261	C₄×D₄	—	53	1	no	—
1262	C₄×D₄	—	53	1	no	—
1263	C₄×D₄	—	53	1	no	—
1264	C₄×D₄	—	53	1	no	—
1265	C₄×D₄	—	53	1	no	—
1266	C₄×D₄	—	53	1	no	—
1267	C₄×D₄	—	53	1	no	—
1268	C₄×D₄	—	53	1	no	—
1269	C₄×D₄	—	53	1	no	—
1270	C₄×D₄	—	53	1	no	—
1271	C₄×D₄	—	53	1	no	—
1272	C₄×D₄	—	53	1	no	—
1273	C₄×D₄	—	53	1	no	—
1274	C₄×D₄	—	53	1	no	—
1275	C₄×D₄	—	53	1	no	—
1276	C₄×D₄	—	53	1	no	—
1277	C₄×D₄	—	53	1	no	—
1278	C₄×D₄	—	53	1	no	—
1279	#117	—	53	1	no	—
1280	#117	—	53	1	no	—
1281	#117	—	53	1	no	—
1282	#117	—	53	1	no	—
1283	#117	—	53	1	no	—
1284	#117	—	53	1	no	—
1285	C₂×C₄²	—	53	1	no	—
1286	C₂×C₄²	—	53	1	no	—
1287	C₂×C₄²	—	53	1	no	—
1288	C₄⋊C₈	—	53	1	no	—
1289	C₄⋊C₈	—	53	1	no	—
1290	C₄⋊C₈	—	53	1	no	—
1291	C₄⋊C₈	—	53	1	no	—
1292	C₄⋊C₈	—	53	1	no	—
1293	C₄⋊C₈	—	53	1	no	—
1294	C₄⋊C₈	—	53	1	no	—
1295	C₄⋊C₈	—	53	1	no	—
1296	C₄⋊C₈	—	53	1	no	—
1297	C₄⋊C₈	—	53	1	no	—
1298	C₄⋊C₈	—	53	1	no	—
1299	C₄⋊C₈	—	53	1	no	—
1300	C₄⋊C₈	—	53	1	no	—
1301	C₄⋊C₈	—	53	1	no	—
1302	C₄⋊C₈	—	53	1	no	—
1303	C₄⋊C₈	—	53	1	no	—
1304	C₄⋊C₈	—	53	1	no	—
1305	C₄⋊C₈	—	53	1	no	—
1306	C₄⋊C₈	—	53	1	no	—
1307	C₄⋊C₈	—	53	1	no	—
1308	C₄⋊C₈	—	53	1	no	—
1309	C₄⋊C₈	—	53	1	no	—
1310	C₄⋊C₈	—	53	1	no	—
1311	C₄⋊C₈	—	53	1	no	—
1312	C₂²⋊C₈	—	53	1	no	—
1313	C₂²⋊C₈	—	53	1	no	—
1314	C₂²⋊C₈	—	53	1	no	—
1315	C₂²⋊C₈	—	53	1	no	—
1316	C₂²⋊C₈	—	53	1	no	—
1317	C₂²⋊C₈	—	53	1	no	—
1318	C₂²⋊C₈	—	53	1	no	—
1319	C₂²⋊C₈	—	53	1	no	—
1320	C₂²⋊C₈	—	53	1	no	—
1321	C₂²⋊C₈	—	53	1	no	—
1322	C₂²⋊C₈	—	53	1	no	—
1323	C₂²⋊C₈	—	53	1	no	—
1324	C₂²⋊C₈	—	53	1	no	—
1325	C₂²⋊C₈	—	53	1	no	—
1326	C₂²⋊C₈	—	53	1	no	—
1327	C₂²⋊C₈	—	53	1	no	—
1328	C₂²⋊C₈	—	53	1	no	—
1329	C₂²⋊C₈	—	53	1	no	—
1330	C₂²⋊C₈	—	53	1	no	—
1331	C₂²⋊C₈	—	53	1	no	—
1332	C₂²⋊C₈	—	53	1	no	—
1333	C₂²⋊C₈	—	53	1	no	—
1334	C₂²⋊C₈	—	53	1	no	—
1335	C₂²⋊C₈	—	53	1	no	—
1336	C₂²⋊C₈	—	53	1	no	—
1337	C₂²⋊C₈	—	53	1	no	—
1338	C₂²⋊C₈	—	53	1	no	—
1339	C₂²⋊C₈	—	53	1	no	—
1340	C₂²⋊C₈	—	53	1	no	—
1341	C₂²⋊C₈	—	53	1	no	—
1342	C₂²⋊C₈	—	53	1	no	—
1343	C₂²⋊C₈	—	53	1	no	—
1344	C₂²⋊C₈	—	53	1	no	—
1345	C₂²⋊C₈	—	53	1	no	—
1346	C₂²⋊C₈	—	53	1	no	—
1347	C₂²⋊C₈	—	53	1	no	—
1348	#97	—	53	1	no	—
1349	#97	—	53	1	no	—
1350	#97	—	53	1	no	—
1351	#97	—	53	1	no	—
1352	#97	—	53	1	no	—
1353	#97	—	53	1	no	—
1354	#97	—	53	1	no	—
1355	#97	—	53	1	no	—
1356	#97	—	53	1	no	—
1357	#97	—	53	1	no	—
1358	#97	—	53	1	no	—
1359	#97	—	53	1	no	—
1360	C₄×C₈	—	53	1	no	—
1361	C₄×C₈	—	53	1	no	—
1362	C₄×C₈	—	53	1	no	—
1363	C₄×C₈	—	53	1	no	—
1364	C₄×C₈	—	53	1	no	—
1365	C₄×C₈	—	53	1	no	—
1366	C₄×C₈	—	53	1	no	—
1367	C₄×C₈	—	53	1	no	—
1368	C₄×C₈	—	53	1	no	—
1369	C₄×C₈	—	53	1	no	—
1370	C₄×C₈	—	53	1	no	—
1371	C₄×C₈	—	53	1	no	—
1372	C₂⁴	—	53	1	no	—
1373	C₂⁴	—	53	1	no	—
1374	#41	—	212	1	no	—
1375	#41	—	212	1	no	—
1376	#41	—	212	1	no	—
1377	#41	—	212	1	no	—
1378	#41	—	212	1	no	—
1379	#41	—	212	1	no	—
1380	#41	—	212	1	no	—
1381	#41	—	212	1	no	—
1382	C₂×Q₈	—	53	1	no	—
1383	C₂×Q₈	—	53	1	no	—
1384	C₂×Q₈	—	53	1	no	—
1385	C₂×Q₈	—	53	1	no	—
1386	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1387	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1388	C₂×D₄	—	53	1	no	—
1389	C₂×D₄	—	53	1	no	—
1390	C₂×D₄	—	53	1	no	—
1391	C₂×D₄	—	53	1	no	—
1392	C₂×D₄	—	53	1	no	—
1393	C₂×D₄	—	53	1	no	—
1394	C₂×D₄	—	53	1	no	—
1395	C₂×D₄	—	53	1	no	—
1396	C₂×D₄	—	53	1	no	—
1397	C₂×D₄	—	53	1	no	—
1398	C₂×D₄	—	53	1	no	—
1399	C₂×D₄	—	53	1	no	—
1400	C₂×D₄	—	53	1	no	—
1401	C₂×D₄	—	53	1	no	—
1402	C₂×D₄	—	53	1	no	—
1403	C₂×D₄	—	53	1	no	—
1404	C₂×D₄	—	53	1	no	—
1405	C₂×D₄	—	53	1	no	—
1406	C₂×D₄	—	53	1	no	—
1407	C₂×D₄	—	53	1	no	—
1408	C₂×D₄	—	53	1	no	—
1409	C₂×D₄	—	53	1	no	—
1410	C₂×D₄	—	53	1	no	—
1411	C₂×D₄	—	53	1	no	—
1412	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1413	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1414	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1415	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1416	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1417	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1418	C₂²×C₄	—	53	1	no	—
1419	C₂²×C₄	—	53	1	no	—
1420	C₂²×C₄	—	53	1	no	—
1421	C₂²×C₄	—	53	1	no	—
1422	C₂²×C₄	—	53	1	no	—
1423	C₂²×C₄	—	53	1	no	—
1424	C₂²×C₄	—	53	1	no	—
1425	C₂²×C₄	—	53	1	no	—
1426	C₂²×C₄	—	53	1	no	—
1427	C₂²×C₄	—	53	1	no	—
1428	C₂²×C₄	—	53	1	no	—
1429	C₂²×C₄	—	53	1	no	—
1430	C₂²×C₄	—	53	1	no	—
1431	C₂²×C₄	—	53	1	no	—
1432	C₂²×C₄	—	53	1	no	—
1433	C₂²×C₄	—	53	1	no	—
1434	C₂²×C₄	—	53	1	no	—
1435	C₂²×C₄	—	212	1	no	—
1436	C₂²×C₄	—	212	1	no	—
1437	C₂²×C₄	—	212	1	no	—
1438	C₂²×C₄	—	212	1	no	—
1439	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1440	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1441	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1442	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1443	M₁₆	—	106	2	no	—
1444	M₁₆	—	106	2	no	—
1445	M₁₆	—	106	2	no	—
1446	M₁₆	—	106	2	no	—
1447	M₁₆	—	106	2	no	—
1448	M₁₆	—	106	2	no	—
1449	M₁₆	—	212	1	no	—
1450	M₁₆	—	212	1	no	—
1451	M₁₆	—	212	1	no	—
1452	M₁₆	—	212	1	no	—
1453	M₁₆	—	212	1	no	—
1454	M₁₆	—	212	1	no	—
1455	M₁₆	—	212	1	no	—
1456	M₁₆	—	212	1	no	—
1457	M₁₆	—	212	1	no	—
1458	M₁₆	—	212	1	no	—
1459	M₁₆	—	212	1	no	—
1460	M₁₆	—	212	1	no	—
1461	C₂×C₈	—	53	1	no	—
1462	C₂×C₈	—	53	1	no	—
1463	C₂×C₈	—	53	1	no	—
1464	C₂×C₈	—	53	1	no	—
1465	C₂×C₈	—	53	1	no	—
1466	C₂×C₈	—	53	1	no	—
1467	C₂×C₈	—	53	1	no	—
1468	C₂×C₈	—	53	1	no	—
1469	C₂×C₈	—	53	1	no	—
1470	C₂×C₈	—	53	1	no	—
1471	C₂×C₈	—	53	1	no	—
1472	C₂×C₈	—	53	1	no	—
1473	C₂×C₈	—	53	1	no	—
1474	C₂×C₈	—	53	1	no	—
1475	C₂×C₈	—	53	1	no	—
1476	C₂×C₈	—	53	1	no	—
1477	C₂×C₈	—	106	2	no	—
1478	C₂×C₈	—	106	2	no	—
1479	C₂×C₈	—	106	2	no	—
1480	C₂×C₈	—	212	1	no	—
1481	C₂×C₈	—	212	1	no	—
1482	C₂×C₈	—	212	1	no	—
1483	C₂×C₈	—	212	1	no	—
1484	C₂×C₈	—	212	1	no	—
1485	C₂×C₈	—	212	1	no	—
1486	C₂×C₈	—	212	1	no	—
1487	C₂×C₈	—	212	1	no	—
1488	C₂×C₈	—	212	1	no	—
1489	C₂×C₈	—	212	1	no	—
1490	C₂×C₈	—	212	1	no	—
1491	C₂×C₈	—	212	1	no	—
1492	C₂×C₈	—	212	1	no	—
1493	C₂×C₈	—	212	1	no	—
1494	C₂×C₈	—	212	1	no	—
1495	C₄⋊C₄	—	53	1	no	—
1496	C₄⋊C₄	—	53	1	no	—
1497	C₄⋊C₄	—	53	1	no	—
1498	C₄⋊C₄	—	53	1	no	—
1499	C₄⋊C₄	—	53	1	no	—
1500	C₄⋊C₄	—	53	1	no	—
1501	C₄⋊C₄	—	53	1	no	—
1502	C₄⋊C₄	—	53	1	no	—
1503	C₄⋊C₄	—	53	1	no	—
1504	C₄⋊C₄	—	53	1	no	—
1505	C₄⋊C₄	—	53	1	no	—
1506	C₄⋊C₄	—	53	1	no	—
1507	C₄⋊C₄	—	53	1	no	—
1508	C₄⋊C₄	—	53	1	no	—
1509	C₄⋊C₄	—	53	1	no	—
1510	C₄⋊C₄	—	53	1	no	—
1511	C₄⋊C₄	—	53	1	no	—
1512	C₄⋊C₄	—	53	1	no	—
1513	C₄⋊C₄	—	53	1	no	—
1514	C₄⋊C₄	—	53	1	no	—
1515	C₄⋊C₄	—	53	1	no	—
1516	C₄⋊C₄	—	53	1	no	—
1517	C₄⋊C₄	—	53	1	no	—
1518	C₄⋊C₄	—	53	1	no	—
1519	C₄⋊C₄	—	53	1	no	—
1520	C₄⋊C₄	—	53	1	no	—
1521	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1522	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1523	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1524	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1525	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1526	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1527	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1528	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1529	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1530	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1531	C₂²⋊C₄	—	53	1	no	—
1532	C₂²⋊C₄	—	53	1	no	—
1533	C₂²⋊C₄	—	53	1	no	—
1534	C₂²⋊C₄	—	53	1	no	—
1535	C₂²⋊C₄	—	53	1	no	—
1536	C₂²⋊C₄	—	53	1	no	—
1537	C₂²⋊C₄	—	53	1	no	—
1538	C₂²⋊C₄	—	53	1	no	—
1539	C₂²⋊C₄	—	53	1	no	—
1540	C₂²⋊C₄	—	53	1	no	—
1541	C₂²⋊C₄	—	53	1	no	—
1542	C₂²⋊C₄	—	53	1	no	—
1543	C₂²⋊C₄	—	53	1	no	—
1544	C₂²⋊C₄	—	53	1	no	—
1545	C₂²⋊C₄	—	53	1	no	—
1546	C₂²⋊C₄	—	53	1	no	—
1547	C₂²⋊C₄	—	53	1	no	—
1548	C₂²⋊C₄	—	53	1	no	—
1549	C₂²⋊C₄	—	53	1	no	—
1550	C₂²⋊C₄	—	53	1	no	—
1551	C₂²⋊C₄	—	53	1	no	—
1552	C₂²⋊C₄	—	53	1	no	—
1553	C₂²⋊C₄	—	53	1	no	—
1554	C₂²⋊C₄	—	53	1	no	—
1555	C₂²⋊C₄	—	53	1	no	—
1556	C₂²⋊C₄	—	53	1	no	—
1557	C₂²⋊C₄	—	53	1	no	—
1558	C₂²⋊C₄	—	53	1	no	—
1559	C₂²⋊C₄	—	53	1	no	—
1560	C₂²⋊C₄	—	53	1	no	—
1561	C₂²⋊C₄	—	53	1	no	—
1562	C₂²⋊C₄	—	53	1	no	—
1563	C₂²⋊C₄	—	53	1	no	—
1564	C₂²⋊C₄	—	53	1	no	—
1565	C₂²⋊C₄	—	53	1	no	—
1566	C₂²⋊C₄	—	53	1	no	—
1567	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1576	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1579	C₄²	—	53	1	no	—
1580	C₄²	—	53	1	no	—
1581	C₄²	—	53	1	no	—
1582	C₄²	—	53	1	no	—
1583	C₄²	—	53	1	no	—
1584	C₄²	—	53	1	no	—
1585	C₄²	—	53	1	no	—
1586	C₄²	—	53	1	no	—
1587	C₄²	—	53	1	no	—
1588	C₄²	—	53	1	no	—
1589	C₄²	—	53	1	no	—
1590	C₄²	C₂²×#6157	1	1	yes	characteristic
1591	C₂³	—	53	1	no	—
1592	C₂³	—	53	1	no	—
1593	C₂³	—	53	1	no	—
1594	C₂³	—	53	1	no	—
1595	C₂³	—	53	1	no	—
1596	C₂³	—	212	1	no	—
1597	C₂³	—	212	1	no	—
1598	C₂³	—	212	1	no	—
1599	C₂³	—	212	1	no	—
1600	C₂³	—	212	1	no	—
1601	C₂³	—	212	1	no	—
1602	C₂³	C₂³×#6157	1	1	yes	characteristic
1603	C₂³	C₂³×#6157	1	1	yes	characteristic
1604	C₂³	C₂³×#6157	1	1	yes	characteristic
1605	C₂³	C₂³×#6157	1	1	yes	characteristic
1606	Q₈	—	4	1	no	—
1607	Q₈	—	4	1	no	—
1608	Q₈	—	212	1	no	—
1609	Q₈	—	212	1	no	—
1610	Q₈	—	212	1	no	—
1611	Q₈	—	212	1	no	—
1612	D₄	—	4	1	no	—
1613	D₄	—	4	1	no	—
1614	D₄	—	4	1	no	—
1615	D₄	—	4	1	no	—
1616	D₄	—	4	1	no	—
1617	D₄	—	4	1	no	—
1618	D₄	—	212	1	no	—
1619	D₄	—	212	1	no	—
1620	D₄	—	212	1	no	—
1621	D₄	—	212	1	no	—
1622	D₄	—	212	1	no	—
1623	D₄	—	212	1	no	—
1624	D₄	—	212	1	no	—
1625	D₄	—	212	1	no	—
1626	D₄	—	212	1	no	—
1627	D₄	—	212	1	no	—
1628	D₄	—	212	1	no	—
1629	D₄	—	212	1	no	—
1630	D₄	—	212	1	no	—
1631	D₄	—	212	1	no	—
1632	D₄	—	212	1	no	—
1633	D₄	—	212	1	no	—
1634	D₄	—	212	1	no	—
1635	D₄	—	212	1	no	—
1636	D₄	—	212	1	no	—
1637	D₄	—	212	1	no	—
1638	D₄	—	212	1	no	—
1639	D₄	—	212	1	no	—
1640	D₄	—	212	1	no	—
1641	D₄	—	212	1	no	—
1642	C₂×C₄	—	4	1	no	—
1643	C₂×C₄	—	4	1	no	—
1644	C₂×C₄	—	4	1	no	—
1645	C₂×C₄	—	4	1	no	—
1646	C₂×C₄	—	53	1	no	—
1647	C₂×C₄	—	53	1	no	—
1648	C₂×C₄	—	53	1	no	—
1649	C₂×C₄	—	53	1	no	—
1650	C₂×C₄	—	53	1	no	—
1651	C₂×C₄	—	53	1	no	—
1652	C₂×C₄	—	53	1	no	—
1653	C₂×C₄	—	53	1	no	—
1654	C₂×C₄	—	53	1	no	—
1655	C₂×C₄	—	53	1	no	—
1656	C₂×C₄	—	53	1	no	—
1657	C₂×C₄	—	106	1	no	—
1658	C₂×C₄	—	106	1	no	—
1659	C₂×C₄	—	106	1	no	—
1660	C₂×C₄	—	106	1	no	—
1661	C₂×C₄	—	106	1	no	—
1662	C₂×C₄	—	106	1	no	—
1663	C₂×C₄	—	106	1	no	—
1664	C₂×C₄	—	106	1	no	—
1665	C₂×C₄	—	106	1	no	—
1666	C₂×C₄	—	106	1	no	—
1667	C₂×C₄	—	106	1	no	—
1668	C₂×C₄	—	106	1	no	—
1669	C₂×C₄	—	106	1	no	—
1670	C₂×C₄	—	106	1	no	—
1671	C₂×C₄	—	106	1	no	—
1672	C₂×C₄	—	106	1	no	—
1673	C₂×C₄	—	106	1	no	—
1674	C₂×C₄	—	106	1	no	—
1675	C₂×C₄	—	212	1	no	—
1676	C₂×C₄	—	212	1	no	—
1677	C₂×C₄	—	212	1	no	—
1678	C₂×C₄	—	212	1	no	—
1679	C₂×C₄	—	212	1	no	—
1680	C₂×C₄	—	212	1	no	—
1681	C₂×C₄	—	212	1	no	—
1682	C₂×C₄	—	212	1	no	—
1683	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1684	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1685	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1686	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1687	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1688	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1689	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1690	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1691	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1692	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1693	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1694	C₈	—	53	2	no	—
1695	C₈	—	106	1	no	—
1696	C₈	—	106	1	no	—
1697	C₈	—	106	1	no	—
1698	C₈	—	106	1	no	—
1699	C₈	—	106	1	no	—
1700	C₈	—	106	1	no	—
1701	C₈	—	106	1	no	—
1702	C₈	—	106	1	no	—
1703	C₈	—	106	1	no	—
1704	C₈	—	106	1	no	—
1705	C₈	—	106	1	no	—
1706	C₈	—	106	1	no	—
1707	C₈	—	106	1	no	—
1708	C₈	—	106	1	no	—
1709	C₈	—	106	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	2	1	no	—
1719	C₂²	—	2	1	no	—
1720	C₂²	—	2	1	no	—
1721	C₂²	—	2	1	no	—
1722	C₂²	—	106	1	no	—
1723	C₂²	—	106	1	no	—
1724	C₂²	—	106	1	no	—
1725	C₂²	—	106	1	no	—
1726	C₂²	—	106	1	no	—
1727	C₂²	—	106	1	no	—
1728	C₂²	—	106	1	no	—
1729	C₂²	—	106	1	no	—
1730	C₂²	—	106	1	no	—
1731	C₂²	—	106	1	no	—
1732	C₂²	—	106	1	no	—
1733	C₂²	—	106	1	no	—
1734	C₂²	—	106	1	no	—
1735	C₂²	—	106	1	no	—
1736	C₂²	—	106	1	no	—
1737	C₂²	—	424	2	no	—
1738	C₂²	—	424	2	no	—
1739	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	2	1	no	—
1751	C₄	—	53	1	no	—
1752	C₄	—	53	1	no	—
1753	C₄	—	106	1	no	—
1754	C₄	—	106	1	no	—
1755	C₄	—	106	1	no	—
1756	C₄	—	106	1	no	—
1757	C₄	—	106	1	no	—
1758	C₄	—	106	1	no	—
1759	C₄	—	106	1	no	—
1760	C₄	—	106	1	no	—
1761	C₄	—	106	1	no	—
1762	C₄	—	106	1	no	—
1763	C₂	—	4	1	no	—
1764	C₂	—	4	1	no	—
1765	C₂	—	4	1	no	—
1766	C₂	—	4	1	no	—
1767	C₂	—	212	1	no	—
1768	C₂	—	212	1	no	—
1769	C₂	—	212	1	no	—
1770	C₂	—	212	1	no	—
1771	C₂	—	212	1	no	—
1772	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic
1773	C₂	#20291710	1	1	yes	characteristic
1774	C₂	#20291711	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#562	C₄
prime radical	#20288852	C₂
cosocle	C₂×Dic₅₃	C₂⁵
hypercenter	#562	#6157
hypocenter	C₅₃	#60327
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #562

Complements

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

N	H ≅ G/N	type
1. #20291672	C₂	semidirect
2. #20291669	C₂	semidirect
3. #20291667	C₂	semidirect
4. #20291663	C₂	semidirect
5. #20291654	C₂	semidirect
6. #20291652	C₂	semidirect
7. #20291606	C₂	semidirect
8. #20291605	C₂	semidirect
9. #20291599	C₂	semidirect
10. #20291590	C₂	semidirect
11. #20291588	C₂	semidirect
12. #20291585	C₂	semidirect
13. #20291583	C₂	semidirect
14. #20291583	C₂	semidirect
15. #20291582	C₂	semidirect
16. #20291548	C₂	semidirect
17. #20291547	C₂	semidirect
18. #20291539	C₂	semidirect
19. #20291537	C₂	semidirect
20. #20291531	C₂	semidirect
21. #20291530	C₂	semidirect
22. #20291460	C₂	semidirect
23. #20291459	C₂	semidirect
24. #20291450	C₂	semidirect
25. #20291449	C₂	semidirect
26. #20291449	C₂	semidirect
27. #20291446	C₂	semidirect
28. #20291438	C₂	semidirect
29. #20291435	C₂	semidirect
30. #20291433	C₂	semidirect
35. C₂×#13133304	C₂²	semidirect
36. C₂×D₅₃⋊M₁₆	C₂²	semidirect
37. C₂×D₅₃⋊M₁₆	C₂²	semidirect
38. #16811675	C₂²	semidirect
39. #16811675	C₂²	semidirect
40. #16811674	C₂²	semidirect
41. #16811674	C₂²	semidirect
42. #16811674	C₂²	semidirect
43. #16811673	C₂²	semidirect
44. #16811672	C₂²	semidirect
45. Q₈×#88324	C₂²	semidirect
47. #16811658	C₂²	semidirect
48. #16811658	C₂²	semidirect
52. #16811657	C₂²	semidirect
53. #16811657	C₂²	semidirect
56. #16811656	C₂²	semidirect
57. #16811656	C₂²	semidirect
58. #16811656	C₂²	semidirect
59. #16811656	C₂²	semidirect
60. #16811656	C₂²	semidirect
61. #16811656	C₂²	semidirect
62. #16811656	C₂²	semidirect
63. #16811656	C₂²	semidirect
66. #16811655	C₂²	semidirect
67. #16811655	C₂²	semidirect
68. #16811655	C₂²	semidirect
69. #16811655	C₂²	semidirect
70. #16811655	C₂²	semidirect
71. #16811655	C₂²	semidirect
72. #16811655	C₂²	semidirect
73. #16811655	C₂²	semidirect
76. #16811654	C₂²	semidirect
77. #16811654	C₂²	semidirect
78. #16811654	C₂²	semidirect
79. #16811654	C₂²	semidirect
86. #16811653	C₂²	semidirect
87. #16811653	C₂²	semidirect
88. #16811653	C₂²	semidirect
89. #16811653	C₂²	semidirect
92. #16811652	C₂²	semidirect
93. #16811652	C₂²	semidirect
94. #16811652	C₂²	semidirect
95. #16811652	C₂²	semidirect
96. #16811652	C₂²	semidirect
97. #16811652	C₂²	semidirect
98. #16811652	C₂²	semidirect
99. #16811652	C₂²	semidirect
103. #16811651	C₂²	semidirect
104. #16811651	C₂²	semidirect
107. #16811650	C₂²	semidirect
108. #16811650	C₂²	semidirect
109. #16811650	C₂²	semidirect
110. #16811650	C₂²	semidirect
111. #16811650	C₂²	semidirect
112. #16811650	C₂²	semidirect
113. #16811650	C₂²	semidirect
114. #16811650	C₂²	semidirect
116. D₄×#88324	C₂²	semidirect
117. D₄×#88324	C₂²	semidirect
118. #16811648	C₂²	semidirect
119. #16811648	C₂²	semidirect
120. #16811648	C₂²	semidirect
121. #16811648	C₂²	semidirect
122. #16811648	C₂²	semidirect
123. #16811648	C₂²	semidirect
124. #16811648	C₂²	semidirect
125. #16811648	C₂²	semidirect
126. #16811647	C₂²	semidirect
127. #16811647	C₂²	semidirect
128. #16811647	C₂²	semidirect
129. #16811647	C₂²	semidirect
130. #16811646	C₂²	semidirect
131. #16811644	C₂²	semidirect
132. #16811644	C₂²	semidirect
133. #16811643	C₂²	semidirect
134. #16811642	C₂²	semidirect
135. #16811639	C₂²	semidirect
136. #16811630	C₂²	semidirect
137. #16811630	C₂²	semidirect
138. #16811630	C₂²	semidirect
139. #16811630	C₂²	semidirect
140. #16811629	C₂²	semidirect
141. #16811629	C₂²	semidirect
142. #16811626	C₂²	semidirect
143. C₂×#13133284	C₂²	semidirect
144. D₅₃⋊(C₄⋊C₈)	C₂²	semidirect
150. #16811597	C₂²	semidirect
155. #16811596	C₂²	semidirect
156. #16811596	C₂²	semidirect
157. #16811594	C₂²	semidirect
158. #16811594	C₂²	semidirect
159. C₂×#13133274	C₂²	semidirect
160. C₂×#13133274	C₂²	semidirect
161. D₅₃⋊(C₂²⋊C₈)	C₂²	semidirect
162. D₅₃⋊(C₂²⋊C₈)	C₂²	semidirect
163. #16811588	C₂²	semidirect
164. #16811588	C₂²	semidirect
165. #16811588	C₂²	semidirect
166. #16811588	C₂²	semidirect
167. #16811587	C₂²	semidirect
168. #16811587	C₂²	semidirect
169. C₄×#11719936	C₂²	semidirect
170. C₄×#11719940	C₂²	semidirect
171. C₂×C₄×#88324	C₂²	semidirect
1090. C₅₃	#60327	semidirect

Maximal subgroups

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

subgroup	index
#20291672	2
#20291669	2
#20291667	2
#20291663	2
#20291654	2
#20291652	2
#20291606	2
#20291605	2
#20291599	2
#20291590	2
#20291588	2
#20291585	2
#20291583	2
#20291582	2
#20291548	2
#20291547	2
#20291539	2
#20291537	2
#20291531	2
#20291530	2
#20291460	2
#20291459	2
#20291450	2
#20291449	2
#20291446	2
#20291438	2
#20291435	2
#20291433	2
#20288852	2
#60327	53