Subgroups — #28329753

Order 13568.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291555	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291554	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291550	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291549	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291545	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291543	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291542	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291541	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291533	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291533	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291531	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291530	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291530	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291529	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291520	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291519	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291512	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291503	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291453	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291449	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291447	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291432	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291430	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811650	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291413	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291407	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291404	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#13133304	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291275	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811587	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288270	C₂	1	1	yes	maximal, characteristic
32	C₂×#13133304	C₂²	1	1	yes	characteristic
33	C₂×#13133304	C₂²	1	1	yes	characteristic
34	C₂×D₅₃⋊M₁₆	C₂²	1	1	yes	characteristic
35	C₂²×#11719940	C₂²	1	1	yes	characteristic
36	C₂²×D₅₃⋊C₈	C₂²	1	1	yes	characteristic
37	C₂³×#88324	C₂²	1	1	yes	characteristic
38	#16811675	C₂²	1	1	yes	characteristic, complemented
39	#16811675	C₂²	1	1	yes	characteristic, complemented
40	#16811675	C₂²	1	1	yes	characteristic, complemented
41	#16811675	C₂²	1	1	yes	characteristic, complemented
42	#16811675	C₂²	1	1	yes	characteristic, complemented
43	#16811675	C₂²	1	1	yes	characteristic, complemented
44	#16811674	C₂²	1	1	yes	characteristic, complemented
45	#16811674	C₂²	1	1	yes	characteristic, complemented
46	#16811674	C₂²	1	1	yes	characteristic, complemented
47	#16811673	C₂²	1	1	yes	characteristic, complemented
48	#16811672	C₂²	1	1	yes	characteristic, complemented
49	#16811672	C₂²	1	1	yes	characteristic, complemented
50	#16811672	C₂²	1	1	yes	characteristic, complemented
51	#16811672	C₂²	1	1	yes	characteristic, complemented
52	#16811672	C₂²	1	1	yes	characteristic, complemented
53	Q₈×#88324	C₂²	1	1	yes	characteristic, complemented
54	#16811658	C₂²	1	1	yes	characteristic, complemented
55	#16811657	C₂²	1	1	yes	characteristic, complemented
56	#16811656	C₂²	1	1	yes	characteristic
57	#16811656	C₂²	1	1	yes	characteristic
58	#16811656	C₂²	1	1	yes	characteristic, complemented
59	#16811656	C₂²	1	1	yes	characteristic, complemented
60	#16811655	C₂²	1	1	yes	characteristic
61	#16811655	C₂²	1	1	yes	characteristic
62	#16811655	C₂²	1	1	yes	characteristic, complemented
63	#16811655	C₂²	1	1	yes	characteristic, complemented
64	#16811655	C₂²	1	1	yes	characteristic, complemented
65	#16811655	C₂²	1	1	yes	characteristic, complemented
66	#16811654	C₂²	1	1	yes	characteristic, complemented
67	#16811654	C₂²	1	1	yes	characteristic, complemented
68	#16811654	C₂²	1	1	yes	characteristic, complemented
69	#16811654	C₂²	1	1	yes	characteristic, complemented
70	#16811653	C₂²	1	1	yes	characteristic, complemented
71	#16811653	C₂²	1	1	yes	characteristic, complemented
72	#16811653	C₂²	1	1	yes	characteristic, complemented
73	#16811653	C₂²	1	1	yes	characteristic, complemented
74	#16811652	C₂²	1	1	yes	characteristic
75	#16811652	C₂²	1	1	yes	characteristic
76	#16811652	C₂²	1	1	yes	characteristic, complemented
77	#16811652	C₂²	1	1	yes	characteristic, complemented
78	#16811652	C₂²	1	1	yes	characteristic, complemented
79	#16811652	C₂²	1	1	yes	characteristic, complemented
80	#16811651	C₂²	1	1	yes	characteristic, complemented
81	#16811651	C₂²	1	1	yes	characteristic, complemented
82	#16811651	C₂²	1	1	yes	characteristic, complemented
83	#16811650	C₂²	1	1	yes	characteristic
84	#16811650	C₂²	1	1	yes	characteristic
85	#16811650	C₂²	1	1	yes	characteristic
86	#16811650	C₂²	1	1	yes	characteristic
87	#16811650	C₂²	1	1	yes	characteristic
88	#16811650	C₂²	1	1	yes	characteristic
89	#16811650	C₂²	1	1	yes	characteristic
90	#16811650	C₂²	1	1	yes	characteristic
91	#16811650	C₂²	1	1	yes	characteristic
92	#16811650	C₂²	1	1	yes	characteristic
93	#16811650	C₂²	1	1	yes	characteristic, complemented
94	#16811650	C₂²	1	1	yes	characteristic, complemented
95	#16811650	C₂²	1	1	yes	characteristic, complemented
96	#16811650	C₂²	1	1	yes	characteristic, complemented
97	#16811650	C₂²	1	1	yes	characteristic, complemented
98	#16811650	C₂²	1	1	yes	characteristic, complemented
99	D₄×#88324	C₂²	1	1	yes	characteristic, complemented
100	D₄×#88324	C₂²	1	1	yes	characteristic, complemented
101	D₄×#88324	C₂²	1	1	yes	characteristic, complemented
102	#16811648	C₂²	1	1	yes	characteristic, complemented
103	#16811648	C₂²	1	1	yes	characteristic, complemented
104	#16811648	C₂²	1	1	yes	characteristic, complemented
105	#16811648	C₂²	1	1	yes	characteristic, complemented
106	#16811648	C₂²	1	1	yes	characteristic, complemented
107	#16811648	C₂²	1	1	yes	characteristic, complemented
108	#16811647	C₂²	1	1	yes	characteristic, complemented
109	#16811647	C₂²	1	1	yes	characteristic, complemented
110	#16811647	C₂²	1	1	yes	characteristic, complemented
111	#16811647	C₂²	1	1	yes	characteristic, complemented
112	#16811647	C₂²	1	1	yes	characteristic, complemented
113	#16811647	C₂²	1	1	yes	characteristic, complemented
114	#16811646	C₂²	1	1	yes	characteristic, complemented
115	#16811646	C₂²	1	1	yes	characteristic, complemented
116	#16811645	C₂²	1	1	yes	characteristic, complemented
117	#16811644	C₂²	1	1	yes	characteristic, complemented
118	#16811643	C₂²	1	1	yes	characteristic, complemented
119	#16811643	C₂²	1	1	yes	characteristic, complemented
120	#16811642	C₂²	1	1	yes	characteristic, complemented
121	#16811641	C₂²	1	1	yes	characteristic, complemented
122	#16811641	C₂²	1	1	yes	characteristic, complemented
123	#16811640	C₂²	1	1	yes	characteristic, complemented
124	#16811640	C₂²	1	1	yes	characteristic, complemented
125	#16811639	C₂²	1	1	yes	characteristic, complemented
126	#16811629	C₂²	1	1	yes	characteristic
127	#16811629	C₂²	1	1	yes	characteristic
128	#16811629	C₂²	1	1	yes	characteristic
129	#16811629	C₂²	1	1	yes	characteristic
130	#16811626	C₂²	1	1	yes	characteristic
131	C₂×#13133284	C₂²	1	1	yes	characteristic
132	#16811596	C₂²	1	1	yes	characteristic
133	#16811596	C₂²	1	1	yes	characteristic
134	#16811595	C₂²	1	1	yes	characteristic
135	#16811593	C₂²	1	1	yes	characteristic
136	C₂×#13133274	C₂²	1	1	yes	characteristic
137	C₂×C₂²⋊#88324	C₂²	1	1	yes	characteristic
138	#16811588	C₂²	1	1	yes	characteristic, complemented
139	#16811588	C₂²	1	1	yes	characteristic, complemented
140	#16811588	C₂²	1	1	yes	characteristic, complemented
141	#16811588	C₂²	1	1	yes	characteristic, complemented
142	#16811588	C₂²	1	1	yes	characteristic, complemented
143	#16811588	C₂²	1	1	yes	characteristic, complemented
144	#16811587	C₂²	1	1	yes	characteristic
145	#16811587	C₂²	1	1	yes	characteristic
146	#16811587	C₂²	1	1	yes	characteristic
147	#16811587	C₂²	1	1	yes	characteristic
148	#16811587	C₂²	1	1	yes	characteristic
149	#16811587	C₂²	1	1	yes	characteristic
150	#16811587	C₂²	1	1	yes	characteristic
151	#16811587	C₂²	1	1	yes	characteristic
152	#16811587	C₂²	1	1	yes	characteristic, complemented
153	#16811587	C₂²	1	1	yes	characteristic, complemented
154	#16811587	C₂²	1	1	yes	characteristic, complemented
155	#16811587	C₂²	1	1	yes	characteristic, complemented
156	#16811587	C₂²	1	1	yes	characteristic, complemented
157	#16811587	C₂²	1	1	yes	characteristic, complemented
158	C₄×#11719936	C₂²	1	1	yes	characteristic, complemented
159	C₄×#11719940	C₂²	1	1	yes	characteristic
160	C₄×#11719940	C₂²	1	1	yes	characteristic, complemented
161	#16811582	C₂²	1	1	yes	characteristic, complemented
162	#16811582	C₂²	1	1	yes	characteristic, complemented
163	C₂×#13133272	C₂²	1	1	yes	characteristic, complemented
164	C₂×#13133272	C₂²	1	1	yes	characteristic, complemented
165	C₄×D₅₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	C₄×D₅₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	C₄×D₅₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×#88324	C₂²	1	1	yes	characteristic
169	C₂×C₄×#88324	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₄×#88324	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₄×#88324	C₂²	1	1	yes	characteristic, complemented
172	#16811340	C₄	1	1	yes	characteristic
173	#16811335	C₄	1	1	yes	characteristic
174	#16811327	C₄	1	1	yes	characteristic
175	#16811322	C₄	1	1	yes	characteristic
176	#16811318	C₄	1	1	yes	characteristic
177	#16811310	C₄	1	1	yes	characteristic
178	#16811309	C₄	1	1	yes	characteristic
179	#16811306	C₄	1	1	yes	characteristic
180	#16811306	C₄	1	1	yes	characteristic
181	#16811302	C₄	1	1	yes	characteristic
182	#16811300	C₄	1	1	yes	characteristic
183	#16811299	C₄	1	1	yes	characteristic
184	#16811271	C₄	1	1	yes	characteristic
185	#16811263	C₄	1	1	yes	characteristic
186	#16811260	C₄	1	1	yes	characteristic
187	#16811175	C₂²	1	1	yes	characteristic
188	#16811159	C₂²	1	1	yes	characteristic
189	#16811156	C₂²	1	1	yes	characteristic
190	#16811156	C₂²	1	1	yes	characteristic
191	#16811152	C₂²	1	1	yes	characteristic
192	#16811150	C₂²	1	1	yes	characteristic
193	#16811150	C₂²	1	1	yes	characteristic
194	#16811131	C₂²	1	1	yes	characteristic
195	#16811129	C₂²	1	1	yes	characteristic
196	#16811091	C₂²	1	1	yes	characteristic
197	C₄×#11719947	C₂²	1	1	yes	characteristic
198	C₄×#11719947	C₂²	1	1	yes	characteristic
199	C₂×#13133177	C₂²	1	1	yes	characteristic
200	C₂×#13133173	C₂²	1	1	yes	characteristic
201	#117×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#551	C₄	1	1	yes	characteristic
203	#13133304	—	2	4	no	—
204	#13133304	—	2	4	no	—
205	C₂×#11719936	C₂³	1	1	yes	characteristic
206	C₂×#11719936	C₂³	1	1	yes	characteristic
207	C₂×#11719936	C₂³	1	1	yes	characteristic
208	C₂×#11719936	C₂³	1	1	yes	characteristic
209	D₅₃⋊M₁₆	—	2	4	no	—
210	C₂×#11719940	—	2	4	no	—
211	C₂×#11719940	C₂³	1	1	yes	characteristic
212	C₂×#11719940	C₂³	1	1	yes	characteristic
213	C₂×#11719940	C₂³	1	1	yes	characteristic
214	C₂×#11719940	C₂³	1	1	yes	characteristic
215	C₂×#11719940	C₂³	1	1	yes	characteristic
216	C₂×#11719940	C₂³	1	1	yes	characteristic
217	C₂×#11719940	C₂³	1	1	yes	characteristic
218	C₂×#11719940	C₂³	1	1	yes	characteristic
219	C₂×D₅₃⋊C₈	—	2	4	no	—
220	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
221	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
222	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
223	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
224	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
225	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
226	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
227	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
228	C₂²×#88324	—	2	4	no	—
229	C₂²×#88324	C₂³	1	1	yes	characteristic
230	C₂²×#88324	C₂³	1	1	yes	characteristic
231	C₂²×#88324	C₂³	1	1	yes	characteristic
232	C₂²×#88324	C₂³	1	1	yes	characteristic
233	C₂²×#88324	C₂³	1	1	yes	characteristic
234	C₂²×#88324	C₂³	1	1	yes	characteristic
235	C₂²×#88324	C₂³	1	1	yes	characteristic
236	C₂²×#88324	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	#13133284	C₂³	1	1	yes	characteristic
242	#13133284	C₂³	1	1	yes	characteristic
243	#13133284	C₂³	1	1	yes	characteristic
244	#13133284	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	C₄⋊#88324	C₂³	1	1	yes	characteristic
256	C₄⋊#88324	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	#13133274	C₂³	1	1	yes	characteristic
266	#13133274	C₂³	1	1	yes	characteristic
267	#13133274	C₂³	1	1	yes	characteristic
268	#13133274	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	C₂²⋊#88324	C₂³	1	1	yes	characteristic
278	C₂²⋊#88324	C₂³	1	1	yes	characteristic
279	C₂²⋊#88324	C₂³	1	1	yes	characteristic
280	C₂²⋊#88324	C₂³	1	1	yes	characteristic
281	C₂²⋊#88324	C₂³	1	1	yes	characteristic
282	C₂²⋊#88324	C₂³	1	1	yes	characteristic
283	C₂²⋊#88324	C₂³	1	1	yes	characteristic
284	C₂²⋊#88324	C₂³	1	1	yes	characteristic
285	C₂²⋊#88324	C₂³	1	1	yes	characteristic
286	C₂²⋊#88324	C₂³	1	1	yes	characteristic
287	C₂²⋊#88324	C₂³	1	1	yes	characteristic
288	C₂²⋊#88324	C₂³	1	1	yes	characteristic
289	#13133272	C₂³	1	1	yes	characteristic
290	#13133272	C₂³	1	1	yes	characteristic
291	#13133272	C₂³	1	1	yes	characteristic
292	#13133272	C₂³	1	1	yes	characteristic
293	#13133272	C₂³	1	1	yes	characteristic
294	#13133272	C₂³	1	1	yes	characteristic
295	#13133272	C₂³	1	1	yes	characteristic
296	#13133272	C₂³	1	1	yes	characteristic
297	#13133272	C₂³	1	1	yes	characteristic
298	#13133272	C₂³	1	1	yes	characteristic
299	#13133272	C₂³	1	1	yes	characteristic
300	#13133272	C₂³	1	1	yes	characteristic
301	#13133272	C₂³	1	1	yes	characteristic
302	#13133272	C₂³	1	1	yes	characteristic
303	#13133272	C₂³	1	1	yes	characteristic
304	#13133272	C₂³	1	1	yes	characteristic
305	#13133272	C₂³	1	1	yes	characteristic
306	#13133272	C₂³	1	1	yes	characteristic
307	C₄×#88324	C₂³	1	1	yes	characteristic
308	C₄×#88324	C₂³	1	1	yes	characteristic
309	C₄×#88324	C₂³	1	1	yes	characteristic
310	C₄×#88324	C₂³	1	1	yes	characteristic
311	C₄×#88324	C₂³	1	1	yes	characteristic
312	C₄×#88324	C₂³	1	1	yes	characteristic
313	C₄×#88324	C₂³	1	1	yes	characteristic
314	C₄×#88324	C₂³	1	1	yes	characteristic
315	C₄×#88324	C₂³	1	1	yes	characteristic
316	C₄×#88324	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×#11719945	C₂×C₄	1	1	yes	characteristic
330	C₂×#11719947	C₂×C₄	1	1	yes	characteristic
331	C₂×#11719947	C₂³	1	1	yes	characteristic
332	C₂²×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
333	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
335	#13133216	C₂×C₄	1	1	yes	characteristic
336	#13133215	C₂×C₄	1	1	yes	characteristic
337	#13133212	C₂×C₄	1	1	yes	characteristic
338	#13133212	C₂×C₄	1	1	yes	characteristic
339	#13133212	C₂×C₄	1	1	yes	characteristic
340	#13133212	C₂×C₄	1	1	yes	characteristic
341	#13133211	C₂×C₄	1	1	yes	characteristic
342	#13133211	C₂×C₄	1	1	yes	characteristic
343	#13133210	C₂×C₄	1	1	yes	characteristic
344	#13133210	C₂×C₄	1	1	yes	characteristic
345	#13133210	C₂×C₄	1	1	yes	characteristic
346	#13133210	C₂×C₄	1	1	yes	characteristic
347	#13133209	C₂×C₄	1	1	yes	characteristic
348	#13133208	C₂×C₄	1	1	yes	characteristic
349	#13133207	C₂×C₄	1	1	yes	characteristic
350	#13133207	C₂×C₄	1	1	yes	characteristic
351	#13133207	C₂×C₄	1	1	yes	characteristic
352	#13133207	C₂×C₄	1	1	yes	characteristic
353	#13133207	C₂×C₄	1	1	yes	characteristic
354	#13133207	C₂×C₄	1	1	yes	characteristic
355	#13133206	C₂×C₄	1	1	yes	characteristic
356	#13133203	C₂×C₄	1	1	yes	characteristic
357	#13133203	C₂×C₄	1	1	yes	characteristic
358	#13133203	C₂×C₄	1	1	yes	characteristic
359	#13133203	C₂×C₄	1	1	yes	characteristic
360	#13133202	C₂×C₄	1	1	yes	characteristic
361	#13133202	C₂×C₄	1	1	yes	characteristic
362	#13133201	C₂×C₄	1	1	yes	characteristic
363	#13133201	C₂×C₄	1	1	yes	characteristic
364	#13133201	C₂×C₄	1	1	yes	characteristic
365	#13133200	C₂×C₄	1	1	yes	characteristic
366	#13133200	C₂×C₄	1	1	yes	characteristic
367	#13133200	C₂×C₄	1	1	yes	characteristic
368	#13133199	C₂×C₄	1	1	yes	characteristic
369	#13133199	C₂×C₄	1	1	yes	characteristic
370	#13133199	C₂×C₄	1	1	yes	characteristic
371	#13133199	C₂×C₄	1	1	yes	characteristic
372	#13133198	C₂×C₄	1	1	yes	characteristic
373	#13133196	C₂×C₄	1	1	yes	characteristic
374	#13133195	C₂×C₄	1	1	yes	characteristic
375	#13133195	C₂×C₄	1	1	yes	characteristic
376	#13133195	C₂×C₄	1	1	yes	characteristic
377	#13133195	C₂×C₄	1	1	yes	characteristic
378	#13133194	C₂×C₄	1	1	yes	characteristic
379	#13133194	C₂×C₄	1	1	yes	characteristic
380	#13133194	C₂×C₄	1	1	yes	characteristic
381	#13133194	C₂×C₄	1	1	yes	characteristic
382	#13133194	C₂×C₄	1	1	yes	characteristic
383	#13133194	C₂×C₄	1	1	yes	characteristic
384	#13133193	C₂×C₄	1	1	yes	characteristic
385	#13133191	C₂×C₄	1	1	yes	characteristic
386	#13133190	C₂×C₄	1	1	yes	characteristic
387	#13133190	C₂×C₄	1	1	yes	characteristic
388	#13133190	C₂×C₄	1	1	yes	characteristic
389	#13133190	C₂×C₄	1	1	yes	characteristic
390	#13133189	C₂×C₄	1	1	yes	characteristic
391	#13133189	C₂×C₄	1	1	yes	characteristic
392	#13133189	C₂×C₄	1	1	yes	characteristic
393	#13133189	C₂×C₄	1	1	yes	characteristic
394	#13133188	C₂×C₄	1	1	yes	characteristic
395	#13133187	C₂×C₄	1	1	yes	characteristic
396	#13133186	C₂×C₄	1	1	yes	characteristic
397	#13133185	C₂×C₄	1	1	yes	characteristic
398	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
400	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
401	#13133182	C₂×C₄	1	1	yes	characteristic
402	#13133182	C₂×C₄	1	1	yes	characteristic
403	#13133182	C₂³	1	1	yes	characteristic
404	#13133182	C₂³	1	1	yes	characteristic
405	#13133182	C₂³	1	1	yes	characteristic
406	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
407	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
408	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
409	#13133179	C₂×C₄	1	1	yes	characteristic
410	#13133179	C₂³	1	1	yes	characteristic
411	#13133179	C₂³	1	1	yes	characteristic
412	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
413	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
414	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
415	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
416	#13133177	C₂×C₄	1	1	yes	characteristic
417	#13133177	C₂×C₄	1	1	yes	characteristic
418	#13133177	C₂×C₄	1	1	yes	characteristic
419	#13133177	C₂×C₄	1	1	yes	characteristic
420	#13133177	C₂×C₄	1	1	yes	characteristic
421	#13133177	C₂×C₄	1	1	yes	characteristic
422	#13133177	C₂×C₄	1	1	yes	characteristic
423	#13133177	C₂×C₄	1	1	yes	characteristic
424	#13133177	C₂³	1	1	yes	characteristic
425	#13133177	C₂³	1	1	yes	characteristic
426	#13133177	C₂³	1	1	yes	characteristic
427	#13133177	C₂³	1	1	yes	characteristic
428	#13133177	C₂³	1	1	yes	characteristic
429	#13133177	C₂³	1	1	yes	characteristic
430	#13133177	C₂³	1	1	yes	characteristic
431	#13133177	C₂³	1	1	yes	characteristic
432	#13133176	C₂×C₄	1	1	yes	characteristic
433	#13133175	C₂×C₄	1	1	yes	characteristic
434	#13133175	C₂³	1	1	yes	characteristic
435	#13133175	C₂³	1	1	yes	characteristic
436	#13133175	C₂³	1	1	yes	characteristic
437	#13133174	C₂×C₄	1	1	yes	characteristic
438	#13133174	C₂×C₄	1	1	yes	characteristic
439	#13133174	C₂×C₄	1	1	yes	characteristic
440	#13133174	C₂×C₄	1	1	yes	characteristic
441	#13133173	C₂×C₄	1	1	yes	characteristic
442	#13133173	C₂×C₄	1	1	yes	characteristic
443	#13133173	C₂×C₄	1	1	yes	characteristic
444	#13133173	C₂×C₄	1	1	yes	characteristic
445	#13133173	C₂×C₄	1	1	yes	characteristic
446	#13133173	C₂×C₄	1	1	yes	characteristic
447	#13133173	C₂³	1	1	yes	characteristic
448	#13133173	C₂³	1	1	yes	characteristic
449	#13133173	C₂³	1	1	yes	characteristic
450	#13133173	C₂³	1	1	yes	characteristic
451	#13133173	C₂³	1	1	yes	characteristic
452	#13133173	C₂³	1	1	yes	characteristic
453	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
454	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
455	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
456	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
457	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
458	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic
459	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
460	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
461	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
462	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
463	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
464	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
465	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
466	C₄²×D₅₃	C₂³	1	1	yes	characteristic
467	C₄²×D₅₃	C₂³	1	1	yes	characteristic
468	C₄²×D₅₃	C₂³	1	1	yes	characteristic
469	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
470	#126×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	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
476	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
477	#120×C₅₃	C₂×C₄	1	1	yes	characteristic
478	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
479	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
480	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
481	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
482	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic
483	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic
484	C₂⁴×C₅₃	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×D₄×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	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
493	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
494	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
495	C₂×C₂²⋊D₅₃	—	2	4	no	—
496	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₂²⋊D₅₃	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	C₂²×Dic₅₃	—	2	2	no	—
507	C₂²×Dic₅₃	—	2	2	no	—
508	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
509	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
510	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
511	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
512	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
513	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
514	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
515	C₂²×Dic₅₃	C₂⁴	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	#11719947	—	2	4	no	—
520	#11719947	—	2	2	no	—
521	#11719947	—	2	2	no	—
522	#11719945	—	2	4	no	—
523	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
524	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₄×D₅₃	—	2	2	no	—
526	C₂×C₄×D₅₃	—	2	2	no	—
527	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
536	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
538	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
539	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
540	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
541	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
542	#11719940	—	2	2	no	—
543	#11719940	—	2	2	no	—
544	#11719940	—	2	2	no	—
545	#11719940	—	2	2	no	—
546	#11719940	—	2	2	no	—
547	#11719940	—	2	2	no	—
548	#11719940	—	2	2	no	—
549	#11719940	#41	1	4	yes	complemented
550	C₂×#88324	—	2	2	no	—
551	C₂×#88324	—	2	2	no	—
552	C₂×#88324	—	2	2	no	—
553	C₂×#88324	—	2	2	no	—
554	C₂×#88324	—	2	2	no	—
555	C₂×#88324	—	2	2	no	—
556	C₂×#88324	—	2	2	no	—
557	C₂×#88324	—	2	2	no	—
558	C₂×#88324	—	2	2	no	—
559	C₂×#88324	—	2	2	no	—
560	C₂×#88324	—	2	2	no	—
561	C₂×#88324	#41	1	4	yes	complemented
562	C₂×#88324	C₂⁴	1	1	yes	characteristic
563	C₂×#88324	C₂⁴	1	1	yes	characteristic
564	C₂×#88324	C₂⁴	1	1	yes	characteristic
565	C₂×#88324	C₂⁴	1	1	yes	characteristic
566	C₂×#88324	C₂⁴	1	1	yes	characteristic
567	C₂×#88324	C₂⁴	1	1	yes	characteristic
568	C₂×#88324	C₂⁴	1	1	yes	characteristic
569	C₂×#88324	C₂⁴	1	1	yes	characteristic
570	C₂×#88324	C₂⁴	1	1	yes	characteristic
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	#11719936	—	2	2	no	—
579	#11719936	—	2	2	no	—
580	#11719936	—	2	2	no	—
581	#11719936	—	2	2	no	—
582	D₅₃⋊C₈	—	2	2	no	—
583	D₅₃⋊C₈	—	2	2	no	—
584	D₅₃⋊C₈	—	2	2	no	—
585	D₅₃⋊C₈	—	2	2	no	—
586	D₅₃⋊C₈	—	2	2	no	—
587	D₅₃⋊C₈	—	2	2	no	—
588	D₅₃⋊C₈	—	2	2	no	—
589	D₅₃⋊C₈	—	2	2	no	—
590	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
594	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
595	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
596	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
597	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
598	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
599	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
600	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
601	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
602	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
603	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
604	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
605	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
606	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
607	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
608	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
609	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
610	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
611	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
612	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
613	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
614	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
615	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
616	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
617	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
622	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
623	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
625	#11719921	C₂²×C₄	1	1	yes	characteristic
626	#11719921	C₂²×C₄	1	1	yes	characteristic
627	#11719921	C₂²×C₄	1	1	yes	characteristic
628	#11719921	C₂²×C₄	1	1	yes	characteristic
629	#11719921	C₂²×C₄	1	1	yes	characteristic
630	#11719921	C₂²×C₄	1	1	yes	characteristic
631	#11719921	C₂²×C₄	1	1	yes	characteristic
632	#11719921	C₂²×C₄	1	1	yes	characteristic
633	#11719921	C₂²×C₄	1	1	yes	characteristic
634	#11719921	C₂²×C₄	1	1	yes	characteristic
635	#11719921	C₂²×C₄	1	1	yes	characteristic
636	#11719921	C₂²×C₄	1	1	yes	characteristic
637	#11719921	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	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
644	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
645	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
647	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
648	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
649	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
650	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
651	#11719919	C₂²×C₄	1	1	yes	characteristic
652	#11719919	C₂²×C₄	1	1	yes	characteristic
653	#11719919	C₂²×C₄	1	1	yes	characteristic
654	#11719919	C₂²×C₄	1	1	yes	characteristic
655	#11719919	C₂²×C₄	1	1	yes	characteristic
656	#11719919	C₂²×C₄	1	1	yes	characteristic
657	#11719919	C₂²×C₄	1	1	yes	characteristic
658	#11719919	C₂²×C₄	1	1	yes	characteristic
659	#11719919	C₂²×C₄	1	1	yes	characteristic
660	#11719919	C₂²×C₄	1	1	yes	characteristic
661	#11719919	C₂²×C₄	1	1	yes	characteristic
662	#11719919	C₂²×C₄	1	1	yes	characteristic
663	#11719919	C₂²×C₄	1	1	yes	characteristic
664	#11719919	C₂²×C₄	1	1	yes	characteristic
665	#11719919	C₂²×C₄	1	1	yes	characteristic
666	#11719919	C₂²×C₄	1	1	yes	characteristic
667	#11719919	C₂²×C₄	1	1	yes	characteristic
668	#11719919	C₂²×C₄	1	1	yes	characteristic
669	#11719919	C₂²×C₄	1	1	yes	characteristic
670	#11719919	C₂²×C₄	1	1	yes	characteristic
671	#11719919	C₂²×C₄	1	1	yes	characteristic
672	#11719919	C₂²×C₄	1	1	yes	characteristic
673	#11719919	C₂²×C₄	1	1	yes	characteristic
674	#11719919	C₂²×C₄	1	1	yes	characteristic
675	#11719919	C₂²×C₄	1	1	yes	characteristic
676	#11719919	C₂²×C₄	1	1	yes	characteristic
677	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
678	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
679	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
680	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
681	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
682	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
683	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
684	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
686	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
687	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
688	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
692	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
695	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
696	C₂³×C₅₃	—	2	2	no	—
697	C₂³×C₅₃	—	2	2	no	—
698	C₂³×C₅₃	—	4	1	no	—
699	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
700	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
701	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
702	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
703	C₂²×D₅₃	—	2	2	no	—
704	C₂²×D₅₃	—	2	2	no	—
705	C₂²×D₅₃	—	4	1	no	—
706	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
707	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
708	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
709	Q₈×C₅₃	—	4	1	no	—
710	D₄×C₅₃	—	2	2	no	—
711	D₄×C₅₃	—	2	2	no	—
712	D₄×C₅₃	—	4	1	no	—
713	C₂×C₄×C₅₃	—	2	2	no	—
714	C₂×C₄×C₅₃	—	2	2	no	—
715	C₂×C₄×C₅₃	—	4	1	no	—
716	C₂×C₄×C₅₃	—	4	1	no	—
717	C₂×C₄×C₅₃	—	4	1	no	—
718	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
723	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
724	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
725	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
726	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
727	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
728	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
729	C₂²⋊D₅₃	—	2	2	no	—
730	C₂²⋊D₅₃	—	2	2	no	—
731	C₂²⋊D₅₃	—	2	2	no	—
732	C₂²⋊D₅₃	—	2	2	no	—
733	C₂²⋊D₅₃	—	2	2	no	—
734	C₂²⋊D₅₃	—	2	2	no	—
735	C₂²⋊D₅₃	—	2	2	no	—
736	C₂²⋊D₅₃	—	4	1	no	—
737	C₂²⋊D₅₃	—	4	1	no	—
738	C₂²⋊D₅₃	#131	1	4	yes	complemented
739	C₂×Dic₅₃	—	2	2	no	—
740	C₂×Dic₅₃	—	2	2	no	—
741	C₂×Dic₅₃	—	2	2	no	—
742	C₂×Dic₅₃	—	2	2	no	—
743	C₂×Dic₅₃	—	2	2	no	—
744	C₂×Dic₅₃	—	2	2	no	—
745	C₂×Dic₅₃	—	2	1	no	—
746	C₂×Dic₅₃	—	2	1	no	—
747	C₂×Dic₅₃	—	2	1	no	—
748	C₂×Dic₅₃	—	2	1	no	—
749	C₂×Dic₅₃	—	2	1	no	—
750	C₂×Dic₅₃	—	2	1	no	—
751	C₂×Dic₅₃	—	4	1	no	—
752	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
753	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
754	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
755	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
756	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
757	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
758	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
759	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
760	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
761	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
762	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
763	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
764	C₂×Dic₅₃	C₂×#41	1	2	yes	—
765	C₂×Dic₅₃	C₂×#41	1	2	yes	—
766	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
767	D₂₁₂	—	2	2	no	—
768	D₂₁₂	—	4	1	no	—
769	C₄×D₅₃	—	2	2	no	—
770	C₄×D₅₃	—	2	2	no	—
771	C₄×D₅₃	—	2	2	no	—
772	C₄×D₅₃	—	2	2	no	—
773	C₄×D₅₃	—	2	2	no	—
774	C₄×D₅₃	—	2	1	no	—
775	C₄×D₅₃	—	2	1	no	—
776	C₄×D₅₃	—	2	1	no	—
777	C₄×D₅₃	—	2	1	no	—
778	C₄×D₅₃	—	2	1	no	—
779	C₄×D₅₃	—	2	1	no	—
780	C₄×D₅₃	—	4	1	no	—
781	C₄×D₅₃	—	4	1	no	—
782	C₄×D₅₃	—	4	1	no	—
783	Dic₁₀₆	—	2	2	no	—
784	Dic₁₀₆	—	2	2	no	—
785	Dic₁₀₆	—	2	2	no	—
786	Dic₁₀₆	—	4	1	no	—
787	#88324	—	2	1	no	—
788	#88324	—	2	1	no	—
789	#88324	—	2	1	no	—
790	#88324	—	2	1	no	—
791	#88324	—	2	1	no	—
792	#88324	—	2	1	no	—
793	#88324	—	2	1	no	—
794	#88324	—	2	1	no	—
795	#88324	—	2	1	no	—
796	#88324	—	2	1	no	—
797	#88324	—	2	1	no	—
798	#88324	—	2	1	no	—
799	#88324	C₂×#41	1	2	yes	—
800	#88324	C₂×#41	1	2	yes	—
801	#88324	C₂×#41	1	2	yes	—
802	#88324	C₂×#41	1	2	yes	—
803	#60215	—	53	1	no	maximal, Sylow
804	C₂²×C₅₃	—	2	1	no	—
805	C₂²×C₅₃	—	2	1	no	—
806	C₂²×C₅₃	—	2	1	no	—
807	C₂²×C₅₃	—	2	1	no	—
808	C₂²×C₅₃	—	2	1	no	—
809	C₂²×C₅₃	—	2	1	no	—
810	C₂²×C₅₃	—	2	1	no	—
811	C₂²×C₅₃	—	2	1	no	—
812	C₂²×C₅₃	—	2	1	no	—
813	C₂²×C₅₃	—	2	1	no	—
814	C₂²×C₅₃	—	4	4	no	—
815	C₂²×C₅₃	C₄×#41	1	2	yes	—
816	C₂²×C₅₃	C₂×#131	1	2	yes	—
817	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
818	C₂×D₅₃	—	2	1	no	—
819	C₂×D₅₃	—	2	1	no	—
820	C₂×D₅₃	—	2	1	no	—
821	C₂×D₅₃	—	2	1	no	—
822	C₂×D₅₃	—	2	1	no	—
823	C₂×D₅₃	—	2	1	no	—
824	C₂×D₅₃	—	2	1	no	—
825	C₂×D₅₃	—	2	1	no	—
826	C₂×D₅₃	—	4	4	no	—
827	C₂×D₅₃	C₂×#131	1	2	yes	—
828	C₄×C₅₃	—	2	1	no	—
829	C₄×C₅₃	—	2	1	no	—
830	C₄×C₅₃	—	2	1	no	—
831	C₄×C₅₃	—	2	1	no	—
832	C₄×C₅₃	—	2	1	no	—
833	C₄×C₅₃	—	2	1	no	—
834	C₄×C₅₃	—	2	1	no	—
835	C₄×C₅₃	—	2	1	no	—
836	C₄×C₅₃	—	2	1	no	—
837	C₄×C₅₃	—	2	1	no	—
838	C₄×C₅₃	—	2	1	no	—
839	Dic₅₃	—	2	1	no	—
840	Dic₅₃	—	2	1	no	—
841	Dic₅₃	—	2	1	no	—
842	Dic₅₃	—	2	1	no	—
843	Dic₅₃	—	2	1	no	—
844	Dic₅₃	—	2	1	no	—
845	Dic₅₃	—	2	1	no	—
846	Dic₅₃	—	2	1	no	—
847	Dic₅₃	—	2	1	no	—
848	Dic₅₃	—	2	1	no	—
849	Dic₅₃	C₄×#41	1	2	yes	—
850	Dic₅₃	C₂×#131	1	2	yes	—
851	Dic₅₃	C₂²×#41	1	1	yes	characteristic
852	Dic₅₃	C₂²×#41	1	1	yes	characteristic
853	#3475	—	53	1	no	—
854	#2970	—	53	1	no	—
855	#2970	—	53	1	no	—
856	#2969	—	53	1	no	—
857	#2969	—	53	1	no	—
858	#2968	—	53	1	no	—
859	#2968	—	53	1	no	—
860	#2968	—	53	1	no	—
861	#2968	—	53	1	no	—
862	#2966	—	53	1	no	—
863	#2966	—	53	1	no	—
864	#2966	—	53	1	no	—
865	#2966	—	53	1	no	—
866	#2966	—	53	1	no	—
867	#2966	—	53	1	no	—
868	C₈×#41	—	53	1	no	—
869	C₈×#41	—	53	1	no	—
870	#2962	—	53	1	no	—
871	#2960	—	53	1	no	—
872	D₄×M₁₆	—	53	1	no	—
873	#2933	—	53	1	no	—
874	#2933	—	53	1	no	—
875	#2929	—	53	1	no	—
876	#2929	—	53	1	no	—
877	C₂×C₈×D₄	—	53	1	no	—
878	#2925	—	53	1	no	—
879	#2924	—	53	1	no	—
880	#2924	—	53	1	no	—
881	C₄×#131	—	53	1	no	—
882	C₂×#405	—	53	1	no	—
883	C₂×#405	—	53	1	no	—
884	C₂×C₅₃	—	2	2	no	—
885	C₂×C₅₃	—	2	2	no	—
886	C₂×C₅₃	—	4	1	no	—
887	C₂×C₅₃	—	4	1	no	—
888	C₂×C₅₃	C₂×C₄×#41	1	1	yes	characteristic
889	C₂×C₅₃	C₂²×#131	1	1	yes	characteristic
890	C₂×C₅₃	#3573	1	1	yes	characteristic
891	D₅₃	—	2	2	no	—
892	D₅₃	—	4	1	no	—
893	D₅₃	—	4	1	no	—
894	C₂×#131	—	53	1	no	—
895	C₂×#131	—	53	1	no	—
896	C₂²×M₁₆	—	53	1	no	—
897	C₂²×M₁₆	—	53	1	no	—
898	C₂³×C₈	—	53	1	no	—
899	C₂³×C₈	—	53	1	no	—
900	#556	—	53	1	no	—
901	#555	—	53	1	no	—
902	#554	—	53	1	no	—
903	#553	—	53	1	no	—
904	#553	—	53	1	no	—
905	#552	—	53	1	no	—
906	#552	—	53	1	no	—
907	#552	—	53	1	no	—
908	#552	—	53	1	no	—
909	#551	—	53	1	no	—
910	#551	—	53	1	no	—
911	#551	—	53	1	no	—
912	#551	#6157	1	1	yes	characteristic
913	#547	—	53	1	no	—
914	#546	—	53	1	no	—
915	#546	—	53	1	no	—
916	#533	—	53	1	no	—
917	#529	—	53	1	no	—
918	#529	—	53	1	no	—
919	#529	—	53	1	no	—
920	#529	—	53	1	no	—
921	#529	—	53	1	no	—
922	#529	—	53	1	no	—
923	#525	—	53	1	no	—
924	#525	—	53	1	no	—
925	C₄×#41	—	53	1	no	—
926	C₄×#41	—	53	1	no	—
927	C₄×#41	—	53	1	no	—
928	C₂×C₄×D₄	—	53	1	no	—
929	C₂×#117	—	53	1	no	—
930	C₂×#117	—	53	1	no	—
931	#446	—	53	1	no	—
932	#446	—	53	1	no	—
933	#446	—	53	1	no	—
934	#446	—	53	1	no	—
935	#446	—	53	1	no	—
936	#446	—	53	1	no	—
937	#446	—	53	1	no	—
938	#446	—	53	1	no	—
939	#446	—	53	1	no	—
940	#446	—	53	1	no	—
941	C₈×Q₈	—	53	1	no	—
942	C₈×Q₈	—	53	1	no	—
943	C₈×Q₈	—	53	1	no	—
944	C₈×Q₈	—	53	1	no	—
945	C₈×Q₈	—	53	1	no	—
946	C₈×Q₈	—	53	1	no	—
947	#436	—	53	1	no	—
948	#436	—	53	1	no	—
949	#436	—	53	1	no	—
950	#436	—	53	1	no	—
951	#436	—	53	1	no	—
952	#436	—	53	1	no	—
953	#435	—	53	1	no	—
954	#435	—	53	1	no	—
955	#435	—	53	1	no	—
956	#435	—	53	1	no	—
957	#435	—	53	1	no	—
958	#435	—	53	1	no	—
959	#435	—	53	1	no	—
960	#435	—	53	1	no	—
961	#435	—	53	1	no	—
962	#435	—	53	1	no	—
963	#435	—	53	1	no	—
964	#435	—	53	1	no	—
965	#435	—	53	1	no	—
966	#435	—	53	1	no	—
967	#435	—	53	1	no	—
968	#435	—	53	1	no	—
969	#435	—	53	1	no	—
970	#435	—	53	1	no	—
971	#435	—	53	1	no	—
972	#435	—	53	1	no	—
973	C₈×D₄	—	53	1	no	—
974	C₈×D₄	—	53	1	no	—
975	C₈×D₄	—	53	1	no	—
976	C₈×D₄	—	53	1	no	—
977	C₈×D₄	—	53	1	no	—
978	C₈×D₄	—	53	1	no	—
979	C₈×D₄	—	53	1	no	—
980	C₈×D₄	—	53	1	no	—
981	C₈×D₄	—	53	1	no	—
982	C₈×D₄	—	53	1	no	—
983	C₈×D₄	—	53	1	no	—
984	C₈×D₄	—	53	1	no	—
985	C₈×D₄	—	53	1	no	—
986	C₈×D₄	—	53	1	no	—
987	C₈×D₄	—	53	1	no	—
988	C₈×D₄	—	53	1	no	—
989	C₈×D₄	—	53	1	no	—
990	C₈×D₄	—	53	1	no	—
991	C₈×D₄	—	53	1	no	—
992	C₈×D₄	—	53	1	no	—
993	C₈×D₄	—	53	1	no	—
994	C₈×D₄	—	53	1	no	—
995	#433	—	53	1	no	—
996	#433	—	53	1	no	—
997	#433	—	53	1	no	—
998	#433	—	53	1	no	—
999	#433	—	53	1	no	—
1000	#433	—	53	1	no	—
1001	#433	—	53	1	no	—
1002	#433	—	53	1	no	—
1003	#433	—	53	1	no	—
1004	#433	—	53	1	no	—
1005	#433	—	53	1	no	—
1006	#433	—	53	1	no	—
1007	#432	—	53	1	no	—
1008	#432	—	53	1	no	—
1009	#432	—	53	1	no	—
1010	#432	—	53	1	no	—
1011	#432	—	53	1	no	—
1012	#432	—	53	1	no	—
1013	#431	—	53	1	no	—
1014	#431	—	53	1	no	—
1015	#431	—	53	1	no	—
1016	#431	—	53	1	no	—
1017	#431	—	53	1	no	—
1018	#431	—	53	1	no	—
1019	#424	—	53	1	no	—
1020	#424	—	53	1	no	—
1021	#424	—	53	1	no	—
1022	#424	—	53	1	no	—
1023	#423	—	53	1	no	—
1024	C₂×C₄⋊C₈	—	53	1	no	—
1025	#408	—	53	1	no	—
1026	#408	—	53	1	no	—
1027	#407	—	53	1	no	—
1028	#407	—	53	1	no	—
1029	C₂×C₂²⋊C₈	—	53	1	no	—
1030	C₂×C₂²⋊C₈	—	53	1	no	—
1031	#405	—	53	1	no	—
1032	#405	—	53	1	no	—
1033	#405	—	53	1	no	—
1034	#405	—	53	1	no	—
1035	#405	—	53	1	no	—
1036	#405	—	53	1	no	—
1037	#405	—	53	1	no	—
1038	#405	—	53	1	no	—
1039	#405	—	53	1	no	—
1040	#405	—	53	1	no	—
1041	#405	—	53	1	no	—
1042	#405	—	53	1	no	—
1043	#405	—	53	1	no	—
1044	#405	—	53	1	no	—
1045	#405	—	53	1	no	—
1046	#405	—	53	1	no	—
1047	#405	—	53	1	no	—
1048	#405	—	53	1	no	—
1049	#405	—	53	1	no	—
1050	#405	—	53	1	no	—
1051	C₄×M₁₆	—	53	1	no	—
1052	C₄×M₁₆	—	53	1	no	—
1053	C₄×M₁₆	—	53	1	no	—
1054	C₂×#97	—	53	1	no	—
1055	C₂×#97	—	53	1	no	—
1056	C₂×#97	—	53	1	no	—
1057	C₂×#97	—	53	1	no	—
1058	C₂×C₄×C₈	—	53	1	no	—
1059	C₂×C₄×C₈	—	53	1	no	—
1060	C₂×C₄×C₈	—	53	1	no	—
1061	C₂×C₄×C₈	—	53	1	no	—
1062	C₂×C₄×C₈	—	53	1	no	—
1063	C₂×C₄×C₈	—	53	1	no	—
1064	C₂×C₄×C₈	—	53	1	no	—
1065	C₅₃	#60215	1	1	yes	characteristic, complemented, Sylow
1066	C₂×#41	—	53	1	no	—
1067	C₂×#41	—	53	1	no	—
1068	C₂×#41	—	53	1	no	—
1069	C₂²×D₄	—	53	1	no	—
1070	C₂³×C₄	—	53	1	no	—
1071	C₂³×C₄	—	53	1	no	—
1072	#131	—	106	4	no	—
1073	#131	—	106	4	no	—
1074	C₂×M₁₆	—	53	1	no	—
1075	C₂×M₁₆	—	53	1	no	—
1076	C₂×M₁₆	—	53	1	no	—
1077	C₂×M₁₆	—	53	1	no	—
1078	C₂×M₁₆	—	53	1	no	—
1079	C₂×M₁₆	—	53	1	no	—
1080	C₂×M₁₆	—	53	1	no	—
1081	C₂×M₁₆	—	53	1	no	—
1082	C₂×M₁₆	—	53	1	no	—
1083	C₂×M₁₆	—	53	1	no	—
1084	C₂×M₁₆	—	53	1	no	—
1085	C₂×M₁₆	—	53	1	no	—
1086	C₂×M₁₆	—	106	4	no	—
1087	C₂×M₁₆	—	106	4	no	—
1088	C₂²×C₈	—	53	1	no	—
1089	C₂²×C₈	—	53	1	no	—
1090	C₂²×C₈	—	53	1	no	—
1091	C₂²×C₈	—	53	1	no	—
1092	C₂²×C₈	—	53	1	no	—
1093	C₂²×C₈	—	53	1	no	—
1094	C₂²×C₈	—	53	1	no	—
1095	C₂²×C₈	—	53	1	no	—
1096	C₂²×C₈	—	53	1	no	—
1097	C₂²×C₈	—	53	1	no	—
1098	C₂²×C₈	—	53	1	no	—
1099	C₂²×C₈	—	53	1	no	—
1100	C₂²×C₈	—	53	1	no	—
1101	C₂²×C₈	—	53	1	no	—
1102	C₂²×C₈	—	53	1	no	—
1103	C₂²×C₈	—	53	1	no	—
1104	C₂²×C₈	—	53	1	no	—
1105	C₂²×C₈	—	53	1	no	—
1106	C₂²×C₈	—	53	1	no	—
1107	C₂²×C₈	—	53	1	no	—
1108	C₂²×C₈	—	106	4	no	—
1109	C₂²×C₈	—	106	4	no	—
1110	C₄⋊Q₈	—	53	1	no	—
1111	C₄⋊Q₈	—	53	1	no	—
1112	#126	—	53	1	no	—
1113	#126	—	53	1	no	—
1114	#126	—	53	1	no	—
1115	#126	—	53	1	no	—
1116	#126	—	53	1	no	—
1117	#126	—	53	1	no	—
1118	#126	—	53	1	no	—
1119	#126	—	53	1	no	—
1120	#126	—	53	1	no	—
1121	#126	—	53	1	no	—
1122	#126	C₂×#6157	1	1	yes	characteristic
1123	#126	C₂×#6157	1	1	yes	characteristic
1124	#125	—	53	1	no	—
1125	#125	—	53	1	no	—
1126	#125	—	53	1	no	—
1127	#125	—	53	1	no	—
1128	#125	—	53	1	no	—
1129	#125	—	53	1	no	—
1130	#125	—	53	1	no	—
1131	#125	—	53	1	no	—
1132	#124	—	53	1	no	—
1133	#124	—	53	1	no	—
1134	#124	—	53	1	no	—
1135	#124	—	53	1	no	—
1136	#124	—	53	1	no	—
1137	#124	C₂×#6157	1	1	yes	characteristic
1138	#123	—	53	1	no	—
1139	#123	—	53	1	no	—
1140	#123	—	53	1	no	—
1141	#123	—	53	1	no	—
1142	#123	—	53	1	no	—
1143	#123	—	53	1	no	—
1144	#123	—	53	1	no	—
1145	#123	—	53	1	no	—
1146	#123	—	53	1	no	—
1147	#123	—	53	1	no	—
1148	#123	—	53	1	no	—
1149	#123	—	53	1	no	—
1150	#123	—	53	1	no	—
1151	#123	C₂×#6157	1	1	yes	characteristic
1152	#123	C₂×#6157	1	1	yes	characteristic
1153	#123	C₂×#6157	1	1	yes	characteristic
1154	C₂²⋊Q₈	—	53	1	no	—
1155	C₂²⋊Q₈	—	53	1	no	—
1156	C₂²⋊Q₈	—	53	1	no	—
1157	C₂²⋊Q₈	—	53	1	no	—
1158	C₂²⋊Q₈	—	53	1	no	—
1159	C₂²⋊Q₈	—	53	1	no	—
1160	C₂²⋊Q₈	—	53	1	no	—
1161	C₂²⋊Q₈	—	53	1	no	—
1162	C₂²⋊Q₈	—	53	1	no	—
1163	C₂²⋊Q₈	—	53	1	no	—
1164	C₂²⋊Q₈	—	53	1	no	—
1165	C₂²⋊Q₈	—	53	1	no	—
1166	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1167	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1168	#121	—	53	1	no	—
1169	#121	—	53	1	no	—
1170	#121	—	53	1	no	—
1171	#121	—	53	1	no	—
1172	#121	—	53	1	no	—
1173	#121	—	53	1	no	—
1174	#121	—	53	1	no	—
1175	#121	—	53	1	no	—
1176	#121	—	53	1	no	—
1177	#121	—	53	1	no	—
1178	#120	—	53	1	no	—
1179	#120	—	53	1	no	—
1180	#120	—	53	1	no	—
1181	#120	C₂×#6157	1	1	yes	characteristic
1182	C₄×Q₈	—	53	1	no	—
1183	C₄×Q₈	—	53	1	no	—
1184	C₄×Q₈	—	53	1	no	—
1185	C₄×Q₈	—	53	1	no	—
1186	C₄×Q₈	—	53	1	no	—
1187	C₄×Q₈	—	53	1	no	—
1188	C₄×Q₈	—	53	1	no	—
1189	C₄×Q₈	—	53	1	no	—
1190	C₄×D₄	—	53	1	no	—
1191	C₄×D₄	—	53	1	no	—
1192	C₄×D₄	—	53	1	no	—
1193	C₄×D₄	—	53	1	no	—
1194	C₄×D₄	—	53	1	no	—
1195	C₄×D₄	—	53	1	no	—
1196	C₄×D₄	—	53	1	no	—
1197	C₄×D₄	—	53	1	no	—
1198	C₄×D₄	—	53	1	no	—
1199	C₄×D₄	—	53	1	no	—
1200	C₄×D₄	—	53	1	no	—
1201	C₄×D₄	—	53	1	no	—
1202	C₄×D₄	—	53	1	no	—
1203	C₄×D₄	—	53	1	no	—
1204	C₄×D₄	—	53	1	no	—
1205	C₄×D₄	—	53	1	no	—
1206	C₄×D₄	—	53	1	no	—
1207	C₄×D₄	—	53	1	no	—
1208	C₄×D₄	—	53	1	no	—
1209	C₄×D₄	—	53	1	no	—
1210	C₄×D₄	—	53	1	no	—
1211	C₄×D₄	—	53	1	no	—
1212	C₄×D₄	—	53	1	no	—
1213	C₄×D₄	—	53	1	no	—
1214	C₄×D₄	—	53	1	no	—
1215	C₄×D₄	—	53	1	no	—
1216	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1217	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1218	#117	—	53	1	no	—
1219	#117	—	53	1	no	—
1220	#117	—	53	1	no	—
1221	#117	—	53	1	no	—
1222	#117	—	53	1	no	—
1223	#117	—	53	1	no	—
1224	#117	—	53	1	no	—
1225	#117	—	53	1	no	—
1226	#117	—	53	1	no	—
1227	#117	—	53	1	no	—
1228	#117	—	53	1	no	—
1229	#117	—	53	1	no	—
1230	#117	—	53	1	no	—
1231	#117	—	53	1	no	—
1232	#117	—	53	1	no	—
1233	#117	—	53	1	no	—
1234	#117	—	53	1	no	—
1235	#117	—	53	1	no	—
1236	#117	—	53	1	no	—
1237	#117	—	53	1	no	—
1238	#117	—	53	1	no	—
1239	#117	C₂×#6157	1	1	yes	characteristic
1240	#117	C₂×#6157	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	53	1	no	—
1242	C₂×C₄⋊C₄	—	53	1	no	—
1243	C₂×C₄⋊C₄	—	53	1	no	—
1244	C₂×C₄⋊C₄	—	53	1	no	—
1245	C₂×C₄⋊C₄	—	53	1	no	—
1246	C₂×C₂²⋊C₄	—	53	1	no	—
1247	C₂×C₂²⋊C₄	—	53	1	no	—
1248	C₂×C₂²⋊C₄	—	53	1	no	—
1249	C₂×C₂²⋊C₄	—	53	1	no	—
1250	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic
1251	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic
1252	C₂×C₄²	—	53	1	no	—
1253	C₂×C₄²	—	53	1	no	—
1254	C₂×C₄²	—	53	1	no	—
1255	C₂×C₄²	—	53	1	no	—
1256	C₂×C₄²	—	53	1	no	—
1257	C₂×C₄²	—	53	1	no	—
1258	C₂×C₄²	—	53	1	no	—
1259	C₄⋊C₈	—	53	1	no	—
1260	C₄⋊C₈	—	53	1	no	—
1261	C₄⋊C₈	—	53	1	no	—
1262	C₄⋊C₈	—	53	1	no	—
1263	C₄⋊C₈	—	53	1	no	—
1264	C₄⋊C₈	—	53	1	no	—
1265	C₄⋊C₈	—	53	1	no	—
1266	C₄⋊C₈	—	53	1	no	—
1267	C₄⋊C₈	—	53	1	no	—
1268	C₄⋊C₈	—	53	1	no	—
1269	C₄⋊C₈	—	53	1	no	—
1270	C₄⋊C₈	—	53	1	no	—
1271	C₄⋊C₈	—	53	1	no	—
1272	C₄⋊C₈	—	53	1	no	—
1273	C₄⋊C₈	—	53	1	no	—
1274	C₄⋊C₈	—	53	1	no	—
1275	C₄⋊C₈	—	53	1	no	—
1276	C₄⋊C₈	—	53	1	no	—
1277	C₄⋊C₈	—	53	1	no	—
1278	C₄⋊C₈	—	53	1	no	—
1279	C₄⋊C₈	—	53	1	no	—
1280	C₄⋊C₈	—	53	1	no	—
1281	C₄⋊C₈	—	53	1	no	—
1282	C₄⋊C₈	—	53	1	no	—
1283	C₂²⋊C₈	—	53	1	no	—
1284	C₂²⋊C₈	—	53	1	no	—
1285	C₂²⋊C₈	—	53	1	no	—
1286	C₂²⋊C₈	—	53	1	no	—
1287	C₂²⋊C₈	—	53	1	no	—
1288	C₂²⋊C₈	—	53	1	no	—
1289	C₂²⋊C₈	—	53	1	no	—
1290	C₂²⋊C₈	—	53	1	no	—
1291	C₂²⋊C₈	—	53	1	no	—
1292	C₂²⋊C₈	—	53	1	no	—
1293	C₂²⋊C₈	—	53	1	no	—
1294	C₂²⋊C₈	—	53	1	no	—
1295	C₂²⋊C₈	—	53	1	no	—
1296	C₂²⋊C₈	—	53	1	no	—
1297	C₂²⋊C₈	—	53	1	no	—
1298	C₂²⋊C₈	—	53	1	no	—
1299	C₂²⋊C₈	—	53	1	no	—
1300	C₂²⋊C₈	—	53	1	no	—
1301	C₂²⋊C₈	—	53	1	no	—
1302	C₂²⋊C₈	—	53	1	no	—
1303	C₂²⋊C₈	—	53	1	no	—
1304	C₂²⋊C₈	—	53	1	no	—
1305	C₂²⋊C₈	—	53	1	no	—
1306	C₂²⋊C₈	—	53	1	no	—
1307	#97	—	53	1	no	—
1308	#97	—	53	1	no	—
1309	#97	—	53	1	no	—
1310	#97	—	53	1	no	—
1311	#97	—	53	1	no	—
1312	#97	—	53	1	no	—
1313	#97	—	53	1	no	—
1314	#97	—	53	1	no	—
1315	#97	—	53	1	no	—
1316	#97	—	53	1	no	—
1317	#97	—	53	1	no	—
1318	#97	—	53	1	no	—
1319	#97	—	53	1	no	—
1320	#97	—	53	1	no	—
1321	#97	—	53	1	no	—
1322	#97	—	53	1	no	—
1323	#97	—	53	1	no	—
1324	#97	—	53	1	no	—
1325	C₄×C₈	—	53	1	no	—
1326	C₄×C₈	—	53	1	no	—
1327	C₄×C₈	—	53	1	no	—
1328	C₄×C₈	—	53	1	no	—
1329	C₄×C₈	—	53	1	no	—
1330	C₄×C₈	—	53	1	no	—
1331	C₄×C₈	—	53	1	no	—
1332	C₄×C₈	—	53	1	no	—
1333	C₄×C₈	—	53	1	no	—
1334	C₄×C₈	—	53	1	no	—
1335	C₄×C₈	—	53	1	no	—
1336	C₄×C₈	—	53	1	no	—
1337	C₄×C₈	—	53	1	no	—
1338	C₄×C₈	—	53	1	no	—
1339	C₄×C₈	—	53	1	no	—
1340	C₄×C₈	—	53	1	no	—
1341	C₄×C₈	—	53	1	no	—
1342	C₄×C₈	—	53	1	no	—
1343	C₄×C₈	—	53	1	no	—
1344	C₄×C₈	—	53	1	no	—
1345	C₄×C₈	—	53	1	no	—
1346	C₄×C₈	—	53	1	no	—
1347	C₂⁴	—	53	1	no	—
1348	C₂⁴	C₂²×#6157	1	1	yes	characteristic
1349	#41	—	106	4	no	—
1350	#41	—	106	2	no	—
1351	#41	—	106	2	no	—
1352	#41	—	106	4	no	—
1353	C₂×Q₈	—	53	1	no	—
1354	C₂×Q₈	—	53	1	no	—
1355	C₂×Q₈	—	53	1	no	—
1356	C₂×Q₈	—	53	1	no	—
1357	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1358	C₂×D₄	—	53	1	no	—
1359	C₂×D₄	—	53	1	no	—
1360	C₂×D₄	—	53	1	no	—
1361	C₂×D₄	—	53	1	no	—
1362	C₂×D₄	—	53	1	no	—
1363	C₂×D₄	—	53	1	no	—
1364	C₂×D₄	—	53	1	no	—
1365	C₂×D₄	—	53	1	no	—
1366	C₂×D₄	—	53	1	no	—
1367	C₂×D₄	—	53	1	no	—
1368	C₂×D₄	—	53	1	no	—
1369	C₂×D₄	—	53	1	no	—
1370	C₂×D₄	—	106	4	no	—
1371	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1372	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1373	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1374	C₂²×C₄	—	53	1	no	—
1375	C₂²×C₄	—	53	1	no	—
1376	C₂²×C₄	—	53	1	no	—
1377	C₂²×C₄	—	53	1	no	—
1378	C₂²×C₄	—	53	1	no	—
1379	C₂²×C₄	—	53	1	no	—
1380	C₂²×C₄	—	53	1	no	—
1381	C₂²×C₄	—	53	1	no	—
1382	C₂²×C₄	—	53	1	no	—
1383	C₂²×C₄	—	53	1	no	—
1384	C₂²×C₄	—	53	1	no	—
1385	C₂²×C₄	—	53	1	no	—
1386	C₂²×C₄	—	53	1	no	—
1387	C₂²×C₄	—	53	1	no	—
1388	C₂²×C₄	—	53	1	no	—
1389	C₂²×C₄	—	53	1	no	—
1390	C₂²×C₄	—	53	1	no	—
1391	C₂²×C₄	—	53	1	no	—
1392	C₂²×C₄	—	53	1	no	—
1393	C₂²×C₄	—	53	1	no	—
1394	C₂²×C₄	—	53	1	no	—
1395	C₂²×C₄	—	53	1	no	—
1396	C₂²×C₄	—	106	2	no	—
1397	C₂²×C₄	—	106	2	no	—
1398	C₂²×C₄	—	106	2	no	—
1399	C₂²×C₄	—	106	2	no	—
1400	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1401	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1402	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1403	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1404	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1405	M₁₆	—	53	4	no	—
1406	M₁₆	—	106	2	no	—
1407	M₁₆	—	106	2	no	—
1408	M₁₆	—	106	2	no	—
1409	M₁₆	—	106	2	no	—
1410	M₁₆	—	106	2	no	—
1411	M₁₆	—	106	2	no	—
1412	M₁₆	—	106	2	no	—
1413	M₁₆	—	106	2	no	—
1414	M₁₆	—	106	2	no	—
1415	M₁₆	—	106	2	no	—
1416	M₁₆	—	106	2	no	—
1417	C₂×C₈	—	53	4	no	—
1418	C₂×C₈	—	53	1	no	—
1419	C₂×C₈	—	53	1	no	—
1420	C₂×C₈	—	53	1	no	—
1421	C₂×C₈	—	53	1	no	—
1422	C₂×C₈	—	53	1	no	—
1423	C₂×C₈	—	53	1	no	—
1424	C₂×C₈	—	53	1	no	—
1425	C₂×C₈	—	53	1	no	—
1426	C₂×C₈	—	53	1	no	—
1427	C₂×C₈	—	53	1	no	—
1428	C₂×C₈	—	53	1	no	—
1429	C₂×C₈	—	53	1	no	—
1430	C₂×C₈	—	53	1	no	—
1431	C₂×C₈	—	53	1	no	—
1432	C₂×C₈	—	53	1	no	—
1433	C₂×C₈	—	53	1	no	—
1434	C₂×C₈	—	106	2	no	—
1435	C₂×C₈	—	106	2	no	—
1436	C₂×C₈	—	106	2	no	—
1437	C₂×C₈	—	106	2	no	—
1438	C₂×C₈	—	106	2	no	—
1439	C₂×C₈	—	106	2	no	—
1440	C₂×C₈	—	106	2	no	—
1441	C₂×C₈	—	106	2	no	—
1442	C₂×C₈	—	106	2	no	—
1443	C₂×C₈	—	106	2	no	—
1444	C₂×C₈	—	106	2	no	—
1445	C₂×C₈	—	106	2	no	—
1446	C₂×C₈	—	106	2	no	—
1447	C₂×C₈	—	106	2	no	—
1448	C₂×C₈	—	106	2	no	—
1449	C₂×C₈	—	106	2	no	—
1450	C₂×C₈	—	106	2	no	—
1451	C₂×C₈	—	106	2	no	—
1452	C₂×C₈	—	106	2	no	—
1453	C₄⋊C₄	—	53	1	no	—
1454	C₄⋊C₄	—	53	1	no	—
1455	C₄⋊C₄	—	53	1	no	—
1456	C₄⋊C₄	—	53	1	no	—
1457	C₄⋊C₄	—	53	1	no	—
1458	C₄⋊C₄	—	53	1	no	—
1459	C₄⋊C₄	—	53	1	no	—
1460	C₄⋊C₄	—	53	1	no	—
1461	C₄⋊C₄	—	53	1	no	—
1462	C₄⋊C₄	—	53	1	no	—
1463	C₄⋊C₄	—	53	1	no	—
1464	C₄⋊C₄	—	53	1	no	—
1465	C₄⋊C₄	—	53	1	no	—
1466	C₄⋊C₄	—	53	1	no	—
1467	C₄⋊C₄	—	53	1	no	—
1468	C₄⋊C₄	—	53	1	no	—
1469	C₄⋊C₄	—	53	1	no	—
1470	C₄⋊C₄	—	53	1	no	—
1471	C₄⋊C₄	—	53	1	no	—
1472	C₄⋊C₄	—	53	1	no	—
1473	C₄⋊C₄	—	53	1	no	—
1474	C₄⋊C₄	—	53	1	no	—
1475	C₄⋊C₄	—	53	1	no	—
1476	C₄⋊C₄	—	53	1	no	—
1477	C₄⋊C₄	—	53	1	no	—
1478	C₄⋊C₄	—	53	1	no	—
1479	C₄⋊C₄	—	53	1	no	—
1480	C₄⋊C₄	—	53	1	no	—
1481	C₄⋊C₄	—	53	1	no	—
1482	C₄⋊C₄	—	53	1	no	—
1483	C₄⋊C₄	—	53	1	no	—
1484	C₄⋊C₄	—	53	1	no	—
1485	C₄⋊C₄	—	53	1	no	—
1486	C₄⋊C₄	—	53	1	no	—
1487	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1488	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1489	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1490	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1491	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1492	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1493	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1494	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1495	C₂²⋊C₄	—	53	1	no	—
1496	C₂²⋊C₄	—	53	1	no	—
1497	C₂²⋊C₄	—	53	1	no	—
1498	C₂²⋊C₄	—	53	1	no	—
1499	C₂²⋊C₄	—	53	1	no	—
1500	C₂²⋊C₄	—	53	1	no	—
1501	C₂²⋊C₄	—	53	1	no	—
1502	C₂²⋊C₄	—	53	1	no	—
1503	C₂²⋊C₄	—	53	1	no	—
1504	C₂²⋊C₄	—	53	1	no	—
1505	C₂²⋊C₄	—	53	1	no	—
1506	C₂²⋊C₄	—	53	1	no	—
1507	C₂²⋊C₄	—	53	1	no	—
1508	C₂²⋊C₄	—	53	1	no	—
1509	C₂²⋊C₄	—	53	1	no	—
1510	C₂²⋊C₄	—	53	1	no	—
1511	C₂²⋊C₄	—	53	1	no	—
1512	C₂²⋊C₄	—	53	1	no	—
1513	C₂²⋊C₄	—	53	1	no	—
1514	C₂²⋊C₄	—	53	1	no	—
1515	C₂²⋊C₄	—	53	1	no	—
1516	C₂²⋊C₄	—	53	1	no	—
1517	C₂²⋊C₄	—	53	1	no	—
1518	C₂²⋊C₄	—	53	1	no	—
1519	C₂²⋊C₄	—	53	1	no	—
1520	C₂²⋊C₄	—	53	1	no	—
1521	C₂²⋊C₄	—	53	1	no	—
1522	C₂²⋊C₄	—	53	1	no	—
1523	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1528	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1529	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1530	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1531	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1532	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1533	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1534	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1535	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1536	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1537	C₄²	—	53	1	no	—
1538	C₄²	—	53	1	no	—
1539	C₄²	—	53	1	no	—
1540	C₄²	—	53	1	no	—
1541	C₄²	—	53	1	no	—
1542	C₄²	—	53	1	no	—
1543	C₄²	—	53	1	no	—
1544	C₄²	—	53	1	no	—
1545	C₄²	—	53	1	no	—
1546	C₄²	—	53	1	no	—
1547	C₄²	—	53	1	no	—
1548	C₄²	—	53	1	no	—
1549	C₄²	—	53	1	no	—
1550	C₄²	—	53	1	no	—
1551	C₄²	—	53	1	no	—
1552	C₄²	—	53	1	no	—
1553	C₄²	—	53	1	no	—
1554	C₄²	—	53	1	no	—
1555	C₄²	—	53	1	no	—
1556	C₄²	C₂²×#6157	1	1	yes	characteristic
1557	C₄²	C₂²×#6157	1	1	yes	characteristic
1558	C₄²	C₂²×#6157	1	1	yes	characteristic
1559	C₂³	—	2	2	no	—
1560	C₂³	—	2	2	no	—
1561	C₂³	—	4	1	no	—
1562	C₂³	—	53	1	no	—
1563	C₂³	—	53	1	no	—
1564	C₂³	—	53	1	no	—
1565	C₂³	—	106	2	no	—
1566	C₂³	—	106	2	no	—
1567	C₂³	—	212	1	no	—
1568	C₂³	C₂³×#6157	1	1	yes	characteristic
1569	C₂³	C₂³×#6157	1	1	yes	characteristic
1570	C₂³	C₂³×#6157	1	1	yes	characteristic
1571	C₂³	C₂³×#6157	1	1	yes	characteristic
1572	Q₈	—	4	1	no	—
1573	Q₈	—	106	2	no	—
1574	Q₈	—	106	2	no	—
1575	Q₈	—	106	2	no	—
1576	Q₈	—	212	1	no	—
1577	D₄	—	2	2	no	—
1578	D₄	—	2	2	no	—
1579	D₄	—	4	1	no	—
1580	D₄	—	53	4	no	—
1581	D₄	—	106	2	no	—
1582	D₄	—	106	2	no	—
1583	D₄	—	106	2	no	—
1584	D₄	—	106	2	no	—
1585	D₄	—	106	2	no	—
1586	D₄	—	106	2	no	—
1587	D₄	—	106	2	no	—
1588	D₄	—	106	2	no	—
1589	D₄	—	212	1	no	—
1590	D₄	—	212	1	no	—
1591	D₄	—	212	1	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	1	no	—
1597	C₂×C₄	—	53	2	no	—
1598	C₂×C₄	—	53	2	no	—
1599	C₂×C₄	—	53	1	no	—
1600	C₂×C₄	—	53	1	no	—
1601	C₂×C₄	—	53	1	no	—
1602	C₂×C₄	—	53	1	no	—
1603	C₂×C₄	—	53	1	no	—
1604	C₂×C₄	—	53	1	no	—
1605	C₂×C₄	—	53	1	no	—
1606	C₂×C₄	—	53	1	no	—
1607	C₂×C₄	—	53	1	no	—
1608	C₂×C₄	—	53	1	no	—
1609	C₂×C₄	—	53	1	no	—
1610	C₂×C₄	—	53	1	no	—
1611	C₂×C₄	—	53	1	no	—
1612	C₂×C₄	—	106	1	no	—
1613	C₂×C₄	—	106	1	no	—
1614	C₂×C₄	—	106	1	no	—
1615	C₂×C₄	—	106	1	no	—
1616	C₂×C₄	—	106	1	no	—
1617	C₂×C₄	—	106	1	no	—
1618	C₂×C₄	—	106	2	no	—
1619	C₂×C₄	—	106	2	no	—
1620	C₂×C₄	—	106	2	no	—
1621	C₂×C₄	—	106	2	no	—
1622	C₂×C₄	—	106	2	no	—
1623	C₂×C₄	—	106	1	no	—
1624	C₂×C₄	—	106	1	no	—
1625	C₂×C₄	—	106	1	no	—
1626	C₂×C₄	—	106	1	no	—
1627	C₂×C₄	—	106	1	no	—
1628	C₂×C₄	—	106	1	no	—
1629	C₂×C₄	—	106	2	no	—
1630	C₂×C₄	—	106	2	no	—
1631	C₂×C₄	—	106	2	no	—
1632	C₂×C₄	—	106	2	no	—
1633	C₂×C₄	—	106	2	no	—
1634	C₂×C₄	—	106	2	no	—
1635	C₂×C₄	—	212	1	no	—
1636	C₂×C₄	—	212	1	no	—
1637	C₂×C₄	—	212	1	no	—
1638	C₂×C₄	—	212	1	no	—
1639	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1640	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1641	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1642	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1643	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1644	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1645	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1646	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1647	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1648	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1649	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1650	C₈	—	53	2	no	—
1651	C₈	—	53	2	no	—
1652	C₈	—	53	2	no	—
1653	C₈	—	53	2	no	—
1654	C₈	—	106	1	no	—
1655	C₈	—	106	1	no	—
1656	C₈	—	106	1	no	—
1657	C₈	—	106	1	no	—
1658	C₈	—	106	1	no	—
1659	C₈	—	106	1	no	—
1660	C₈	—	106	1	no	—
1661	C₈	—	106	1	no	—
1662	C₈	—	106	1	no	—
1663	C₈	—	106	1	no	—
1664	C₈	—	106	1	no	—
1665	C₈	—	106	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	1	no	—
1675	C₂²	—	2	1	no	—
1676	C₂²	—	4	4	no	—
1677	C₂²	—	53	2	no	—
1678	C₂²	—	106	1	no	—
1679	C₂²	—	106	1	no	—
1680	C₂²	—	106	1	no	—
1681	C₂²	—	106	1	no	—
1682	C₂²	—	106	1	no	—
1683	C₂²	—	106	1	no	—
1684	C₂²	—	106	1	no	—
1685	C₂²	—	106	1	no	—
1686	C₂²	—	212	4	no	—
1687	C₂²	#41×#6157	1	2	yes	—
1688	C₂²	D₅₃⋊#131	1	2	yes	—
1689	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	1	no	—
1701	C₄	—	53	1	no	—
1702	C₄	—	53	1	no	—
1703	C₄	—	53	2	no	—
1704	C₄	—	53	2	no	—
1705	C₄	—	106	1	no	—
1706	C₄	—	106	1	no	—
1707	C₄	—	106	1	no	—
1708	C₄	—	106	1	no	—
1709	C₄	—	106	1	no	—
1710	C₄	—	106	1	no	—
1711	C₄	—	106	1	no	—
1712	C₄	—	106	1	no	—
1713	C₄	—	106	1	no	—
1714	C₄	—	106	1	no	—
1715	C₂	—	2	2	no	—
1716	C₂	—	2	2	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	4	1	no	—
1719	C₂	—	106	2	no	—
1720	C₂	—	212	1	no	—
1721	C₂	—	212	1	no	—
1722	C₂	C₂×#41×#6157	1	1	yes	characteristic
1723	C₂	C₂×D₅₃⋊#131	1	1	yes	characteristic
1724	C₂	#20291710	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#551	C₄
prime radical	#20288270	C₂
cosocle	C₂×Dic₅₃	C₂⁵
hypercenter	#551	#6157
hypocenter	C₅₃	#60215
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #551

Complements

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

N	H ≅ G/N	type
1. #20291555	C₂	semidirect
2. #20291554	C₂	semidirect
3. #20291550	C₂	semidirect
4. #20291549	C₂	semidirect
5. #20291545	C₂	semidirect
6. #20291543	C₂	semidirect
7. #20291542	C₂	semidirect
8. #20291541	C₂	semidirect
9. #20291533	C₂	semidirect
10. #20291533	C₂	semidirect
11. #20291531	C₂	semidirect
12. #20291530	C₂	semidirect
13. #20291530	C₂	semidirect
14. #20291529	C₂	semidirect
15. #20291520	C₂	semidirect
16. #20291519	C₂	semidirect
17. #20291512	C₂	semidirect
18. #20291503	C₂	semidirect
19. #20291453	C₂	semidirect
20. #20291449	C₂	semidirect
21. #20291447	C₂	semidirect
22. #20291432	C₂	semidirect
23. #20291430	C₂	semidirect
24. C₂×#16811650	C₂	semidirect
25. #20291413	C₂	semidirect
26. #20291407	C₂	semidirect
27. #20291404	C₂	semidirect
28. C₄×#13133304	C₂	semidirect
29. #20291275	C₂	semidirect
30. C₂×#16811587	C₂	semidirect
38. #16811675	C₂²	semidirect
39. #16811675	C₂²	semidirect
40. #16811675	C₂²	semidirect
41. #16811675	C₂²	semidirect
42. #16811675	C₂²	semidirect
43. #16811675	C₂²	semidirect
44. #16811674	C₂²	semidirect
45. #16811674	C₂²	semidirect
46. #16811674	C₂²	semidirect
47. #16811673	C₂²	semidirect
48. #16811672	C₂²	semidirect
49. #16811672	C₂²	semidirect
50. #16811672	C₂²	semidirect
51. #16811672	C₂²	semidirect
52. #16811672	C₂²	semidirect
53. Q₈×#88324	C₂²	semidirect
54. #16811658	C₂²	semidirect
55. #16811657	C₂²	semidirect
58. #16811656	C₂²	semidirect
59. #16811656	C₂²	semidirect
62. #16811655	C₂²	semidirect
63. #16811655	C₂²	semidirect
64. #16811655	C₂²	semidirect
65. #16811655	C₂²	semidirect
66. #16811654	C₂²	semidirect
67. #16811654	C₂²	semidirect
68. #16811654	C₂²	semidirect
69. #16811654	C₂²	semidirect
70. #16811653	C₂²	semidirect
71. #16811653	C₂²	semidirect
72. #16811653	C₂²	semidirect
73. #16811653	C₂²	semidirect
76. #16811652	C₂²	semidirect
77. #16811652	C₂²	semidirect
78. #16811652	C₂²	semidirect
79. #16811652	C₂²	semidirect
80. #16811651	C₂²	semidirect
81. #16811651	C₂²	semidirect
82. #16811651	C₂²	semidirect
93. #16811650	C₂²	semidirect
94. #16811650	C₂²	semidirect
95. #16811650	C₂²	semidirect
96. #16811650	C₂²	semidirect
97. #16811650	C₂²	semidirect
98. #16811650	C₂²	semidirect
99. D₄×#88324	C₂²	semidirect
100. D₄×#88324	C₂²	semidirect
101. D₄×#88324	C₂²	semidirect
102. #16811648	C₂²	semidirect
103. #16811648	C₂²	semidirect
104. #16811648	C₂²	semidirect
105. #16811648	C₂²	semidirect
106. #16811648	C₂²	semidirect
107. #16811648	C₂²	semidirect
108. #16811647	C₂²	semidirect
109. #16811647	C₂²	semidirect
110. #16811647	C₂²	semidirect
111. #16811647	C₂²	semidirect
112. #16811647	C₂²	semidirect
113. #16811647	C₂²	semidirect
114. #16811646	C₂²	semidirect
115. #16811646	C₂²	semidirect
116. #16811645	C₂²	semidirect
117. #16811644	C₂²	semidirect
118. #16811643	C₂²	semidirect
119. #16811643	C₂²	semidirect
120. #16811642	C₂²	semidirect
121. #16811641	C₂²	semidirect
122. #16811641	C₂²	semidirect
123. #16811640	C₂²	semidirect
124. #16811640	C₂²	semidirect
125. #16811639	C₂²	semidirect
138. #16811588	C₂²	semidirect
139. #16811588	C₂²	semidirect
140. #16811588	C₂²	semidirect
141. #16811588	C₂²	semidirect
142. #16811588	C₂²	semidirect
143. #16811588	C₂²	semidirect
152. #16811587	C₂²	semidirect
153. #16811587	C₂²	semidirect
154. #16811587	C₂²	semidirect
155. #16811587	C₂²	semidirect
156. #16811587	C₂²	semidirect
157. #16811587	C₂²	semidirect
158. C₄×#11719936	C₂²	semidirect
160. C₄×#11719940	C₂²	semidirect
161. #16811582	C₂²	semidirect
162. #16811582	C₂²	semidirect
163. C₂×#13133272	C₂²	semidirect
164. C₂×#13133272	C₂²	semidirect
165. C₄×D₅₃⋊C₈	C₂²	semidirect
166. C₄×D₅₃⋊C₈	C₂²	semidirect
167. C₄×D₅₃⋊C₈	C₂²	semidirect
169. C₂×C₄×#88324	C₂²	semidirect
170. C₂×C₄×#88324	C₂²	semidirect
171. C₂×C₄×#88324	C₂²	semidirect
549. #11719940	#41	semidirect
561. C₂×#88324	#41	semidirect
738. C₂²⋊D₅₃	#131	semidirect
1065. C₅₃	#60215	semidirect

Maximal subgroups

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

subgroup	index
#20291555	2
#20291554	2
#20291550	2
#20291549	2
#20291545	2
#20291543	2
#20291542	2
#20291541	2
#20291533	2
#20291531	2
#20291530	2
#20291529	2
#20291520	2
#20291519	2
#20291512	2
#20291503	2
#20291453	2
#20291449	2
#20291447	2
#20291432	2
#20291430	2
C₂×#16811650	2
#20291413	2
#20291407	2
#20291404	2
C₄×#13133304	2
#20291275	2
C₂×#16811587	2
#20288270	2
#60215	53