Subgroups — #12269802

Order 1280.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×C₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
2	#10614550	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614515	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614223	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614222	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄²×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄×#685	C₂	1	1	yes	maximal, characteristic, complemented
8	#10608369	C₂	1	1	yes	maximal, characteristic, complemented
9	#10608277	C₂	1	1	yes	maximal, characteristic, complemented
10	#10607977	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607976	C₂	1	1	yes	maximal, characteristic, complemented
12	#10607100	C₂	1	1	yes	maximal, characteristic, complemented
13	#10607098	C₂	1	1	yes	maximal, characteristic, complemented
14	#10607097	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607095	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606334	C₂	1	1	yes	maximal, characteristic
17	#10606189	C₂	1	1	yes	maximal, characteristic, complemented
18	#10606183	C₂	1	1	yes	maximal, characteristic, complemented
19	#10606139	C₂	1	1	yes	maximal, characteristic, complemented
20	#10605760	C₂	1	1	yes	maximal, characteristic
21	#10605676	C₂	1	1	yes	maximal, characteristic, complemented
22	#10605510	C₂	1	1	yes	maximal, characteristic, complemented
23	#10605508	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#4040	C₂	1	1	yes	maximal, characteristic, complemented
25	#10605485	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#4044	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605351	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#4028	C₂	1	1	yes	maximal, characteristic
29	#10605292	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#4032	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605168	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
33	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
39	C₂²×#685	C₂²	1	1	yes	characteristic
40	C₂²×#685	C₂²	1	1	yes	characteristic
41	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic
42	C₂×#4044	C₂²	1	1	yes	characteristic
43	C₂×#4040	C₂²	1	1	yes	characteristic
44	C₂×#4032	C₂²	1	1	yes	characteristic
45	C₂×#4028	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
48	C₂×#4018	C₂²	1	1	yes	characteristic
49	C₂×#4018	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
51	C₅×#391	C₂²	1	1	yes	characteristic, complemented
52	C₅×#389	C₂²	1	1	yes	characteristic, complemented
53	C₅×#387	C₂²	1	1	yes	characteristic, complemented
54	C₅×#387	C₂²	1	1	yes	characteristic, complemented
55	C₅×#385	C₂²	1	1	yes	characteristic
56	C₅×#385	C₂²	1	1	yes	characteristic
57	C₅×#380	C₂²	1	1	yes	characteristic
58	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
59	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
62	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	#65520	C₂²	1	1	yes	characteristic
64	#65520	C₂²	1	1	yes	characteristic
65	#65520	C₂²	1	1	yes	characteristic, complemented
66	#65518	C₂²	1	1	yes	characteristic, complemented
67	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
69	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
70	C₂×#3963	C₂²	1	1	yes	characteristic
71	C₂×#3963	C₂²	1	1	yes	characteristic
72	#65283	C₂²	1	1	yes	characteristic
73	#65283	C₂²	1	1	yes	characteristic
74	#65283	C₂²	1	1	yes	characteristic
75	#65282	C₂²	1	1	yes	characteristic
76	#65282	C₂²	1	1	yes	characteristic
77	#65282	C₂²	1	1	yes	characteristic
78	#65282	C₂²	1	1	yes	characteristic, complemented
79	#65281	C₂²	1	1	yes	characteristic
80	#65281	C₂²	1	1	yes	characteristic, complemented
81	#65280	C₂²	1	1	yes	characteristic
82	#65280	C₂²	1	1	yes	characteristic
83	#65280	C₂²	1	1	yes	characteristic
84	#65279	C₂²	1	1	yes	characteristic
85	#65279	C₂²	1	1	yes	characteristic
86	#65279	C₂²	1	1	yes	characteristic
87	#65279	C₂²	1	1	yes	characteristic
88	#65279	C₂²	1	1	yes	characteristic
89	#65279	C₂²	1	1	yes	characteristic
90	#65278	C₂²	1	1	yes	characteristic, complemented
91	#65278	C₂²	1	1	yes	characteristic, complemented
92	#65278	C₂²	1	1	yes	characteristic, complemented
93	#65275	C₂²	1	1	yes	characteristic, complemented
94	#65275	C₂²	1	1	yes	characteristic, complemented
95	#65275	C₂²	1	1	yes	characteristic, complemented
96	#65273	C₂²	1	1	yes	characteristic, complemented
97	#65273	C₂²	1	1	yes	characteristic, complemented
98	#65273	C₂²	1	1	yes	characteristic, complemented
99	#65271	C₂²	1	1	yes	characteristic, complemented
100	#65271	C₂²	1	1	yes	characteristic, complemented
101	#65270	C₂²	1	1	yes	characteristic, complemented
102	#65270	C₂²	1	1	yes	characteristic, complemented
103	#65267	C₂²	1	1	yes	characteristic, complemented
104	#65267	C₂²	1	1	yes	characteristic, complemented
105	#65267	C₂²	1	1	yes	characteristic, complemented
106	#65247	C₂²	1	1	yes	characteristic
107	#65247	C₂²	1	1	yes	characteristic
108	#65244	C₂²	1	1	yes	characteristic
109	#65244	C₂²	1	1	yes	characteristic
110	#65244	C₂²	1	1	yes	characteristic
111	#65239	C₂²	1	1	yes	characteristic
112	#65239	C₂²	1	1	yes	characteristic
113	#65232	C₂²	1	1	yes	characteristic
114	#65232	C₂²	1	1	yes	characteristic
115	#65232	C₂²	1	1	yes	characteristic
116	#65231	C₂²	1	1	yes	characteristic
117	#65231	C₂²	1	1	yes	characteristic
118	#65231	C₂²	1	1	yes	characteristic
119	#65231	C₂²	1	1	yes	characteristic
120	C₄×#685	C₂²	1	1	yes	characteristic
121	C₄×#685	C₂²	1	1	yes	characteristic
122	C₄×#685	C₂²	1	1	yes	characteristic
123	C₄×#685	C₂²	1	1	yes	characteristic
124	C₄×#685	C₂²	1	1	yes	characteristic
125	C₄×#685	C₂²	1	1	yes	characteristic
126	C₄×#685	C₂²	1	1	yes	characteristic
127	C₄×#685	C₂²	1	1	yes	characteristic
128	C₄×#685	C₂²	1	1	yes	characteristic
129	C₄×#685	C₂²	1	1	yes	characteristic
130	C₄×#685	C₂²	1	1	yes	characteristic
131	C₄×#685	C₂²	1	1	yes	characteristic
132	C₄×#685	C₂²	1	1	yes	characteristic, complemented
133	C₄×#685	C₂²	1	1	yes	characteristic, complemented
134	C₄×#685	C₂²	1	1	yes	characteristic, complemented
135	C₄×#685	C₂²	1	1	yes	characteristic, complemented
136	C₄×#685	C₂²	1	1	yes	characteristic, complemented
137	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
139	#65221	C₂²	1	1	yes	characteristic, complemented
140	#65221	C₂²	1	1	yes	characteristic, complemented
141	C₄×#683	C₂²	1	1	yes	characteristic, complemented
142	C₄×#683	C₂²	1	1	yes	characteristic, complemented
143	C₄×#683	C₂²	1	1	yes	characteristic, complemented
144	C₄×#683	C₂²	1	1	yes	characteristic, complemented
145	C₄×#683	C₂²	1	1	yes	characteristic, complemented
146	C₄²×Dic₅	C₂²	1	1	yes	characteristic, complemented
147	#64964	C₂²	1	1	yes	characteristic
148	#64964	C₂²	1	1	yes	characteristic
149	#64964	C₂²	1	1	yes	characteristic, complemented
150	#64963	C₂²	1	1	yes	characteristic
151	#64961	C₂²	1	1	yes	characteristic
152	#64959	C₂²	1	1	yes	characteristic
153	#64959	C₂²	1	1	yes	characteristic
154	#64959	C₂²	1	1	yes	characteristic
155	#64959	C₂²	1	1	yes	characteristic, complemented
156	#64959	C₂²	1	1	yes	characteristic, complemented
157	#64958	C₂²	1	1	yes	characteristic
158	#64958	C₂²	1	1	yes	characteristic
159	#64957	C₂²	1	1	yes	characteristic
160	#64957	C₂²	1	1	yes	characteristic
161	#64956	C₂²	1	1	yes	characteristic
162	#64956	C₂²	1	1	yes	characteristic
163	#64954	C₂²	1	1	yes	characteristic
164	#64954	C₂²	1	1	yes	characteristic
165	#64954	C₂²	1	1	yes	characteristic
166	#64954	C₂²	1	1	yes	characteristic
167	#64954	C₂²	1	1	yes	characteristic
168	#64953	C₂²	1	1	yes	characteristic
169	#64953	C₂²	1	1	yes	characteristic
170	#64953	C₂²	1	1	yes	characteristic, complemented
171	C₅⋊#401	C₂²	1	1	yes	characteristic, complemented
172	#64949	C₂²	1	1	yes	characteristic, complemented
173	#64949	C₂²	1	1	yes	characteristic, complemented
174	#64944	C₂²	1	1	yes	characteristic, complemented
175	#64944	C₂²	1	1	yes	characteristic, complemented
176	#64944	C₂²	1	1	yes	characteristic, complemented
177	#64943	C₂²	1	1	yes	characteristic, complemented
178	#64943	C₂²	1	1	yes	characteristic, complemented
179	#64943	C₂²	1	1	yes	characteristic, complemented
180	#64942	C₂²	1	1	yes	characteristic, complemented
181	#64942	C₂²	1	1	yes	characteristic, complemented
182	#64940	C₂²	1	1	yes	characteristic, complemented
183	#64940	C₂²	1	1	yes	characteristic, complemented
184	#64940	C₂²	1	1	yes	characteristic, complemented
185	#64939	C₂²	1	1	yes	characteristic, complemented
186	#64939	C₂²	1	1	yes	characteristic, complemented
187	#34849	—	5	1	no	maximal, Sylow
188	C₂⁴×D₅	C₂³	1	1	yes	characteristic
189	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
194	C₂³×Dic₅	C₂³	1	1	yes	characteristic
195	C₂³×Dic₅	C₂³	1	1	yes	characteristic
196	C₂³×Dic₅	C₂³	1	1	yes	characteristic
197	C₂²×D₂₀	C₂³	1	1	yes	characteristic
198	C₂²×D₂₀	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅	—	2	4	no	—
200	C₂²×C₄×D₅	—	2	4	no	—
201	C₂²×C₄×D₅	—	4	2	no	—
202	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₅×C₂²⋊Q₈	—	2	4	no	—
210	C₄×C₅×Q₈	—	4	2	no	—
211	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₅	—	4	2	no	—
225	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₄×C₂²⋊D₅	—	2	4	no	—
237	C₄×C₂²⋊D₅	—	2	4	no	—
238	C₄×C₂²⋊D₅	—	2	4	no	—
239	C₂×#685	—	2	4	no	—
240	C₂×#685	—	2	4	no	—
241	C₂×#685	C₂³	1	1	yes	characteristic
242	C₂×#685	C₂³	1	1	yes	characteristic
243	C₂×#685	C₂³	1	1	yes	characteristic
244	C₂×#685	C₂³	1	1	yes	characteristic
245	C₂×#685	C₂³	1	1	yes	characteristic
246	C₂×#685	C₂³	1	1	yes	characteristic
247	C₂×#685	C₂³	1	1	yes	characteristic
248	C₂×#685	C₂³	1	1	yes	characteristic
249	C₂×#685	C₂³	1	1	yes	characteristic
250	C₂×#685	C₂³	1	1	yes	characteristic
251	C₂×#685	C₂³	1	1	yes	characteristic
252	C₂×#685	C₂³	1	1	yes	characteristic
253	C₂×#685	C₂³	1	1	yes	characteristic
254	C₂×#685	C₂³	1	1	yes	characteristic
255	C₂×#685	C₂³	1	1	yes	characteristic
256	C₂×#685	C₂³	1	1	yes	characteristic
257	C₂×#685	C₂³	1	1	yes	characteristic
258	C₂×#685	C₂³	1	1	yes	characteristic
259	C₂×#685	C₂³	1	1	yes	characteristic
260	C₂×#685	C₂³	1	1	yes	characteristic
261	C₂×#685	C₂³	1	1	yes	characteristic
262	C₂×#685	C₂³	1	1	yes	characteristic
263	C₂×#685	C₂³	1	1	yes	characteristic
264	C₂×#685	C₂³	1	1	yes	characteristic
265	C₂×#685	C₂³	1	1	yes	characteristic
266	C₂×#685	C₂³	1	1	yes	characteristic
267	C₂×#685	C₂³	1	1	yes	characteristic
268	C₂×#685	C₂³	1	1	yes	characteristic
269	C₂×#685	C₂³	1	1	yes	characteristic
270	C₂×#685	C₂³	1	1	yes	characteristic
271	C₂×#685	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
278	C₂×#683	C₂³	1	1	yes	characteristic
279	C₂×#683	C₂³	1	1	yes	characteristic
280	C₂×#683	C₂³	1	1	yes	characteristic
281	C₂×#683	C₂³	1	1	yes	characteristic
282	C₂×#683	C₂³	1	1	yes	characteristic
283	C₂×#683	C₂³	1	1	yes	characteristic
284	C₂×#683	C₂³	1	1	yes	characteristic
285	C₂×#683	C₂³	1	1	yes	characteristic
286	C₂×#683	C₂³	1	1	yes	characteristic
287	C₂×#683	C₂³	1	1	yes	characteristic
288	C₂×#683	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅	—	2	4	no	—
290	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
303	#4044	—	2	4	no	—
304	#4040	—	2	4	no	—
305	#4032	—	2	4	no	—
306	#4028	—	2	4	no	—
307	C₄×D₂₀	—	2	4	no	—
308	C₄×D₂₀	—	4	2	no	—
309	#4018	—	2	4	no	—
310	#4018	—	4	2	no	—
311	C₄²×D₅	—	4	2	no	—
312	C₅×#95	C₂³	1	1	yes	characteristic
313	C₅×#95	C₂³	1	1	yes	characteristic
314	C₅×#95	C₂³	1	1	yes	characteristic
315	C₅×#95	C₂³	1	1	yes	characteristic
316	C₅×#95	C₂³	1	1	yes	characteristic
317	C₅×#95	C₂³	1	1	yes	characteristic
318	C₅×#95	C₂³	1	1	yes	characteristic
319	C₅×#95	C₂³	1	1	yes	characteristic
320	C₅×#95	C₂³	1	1	yes	characteristic
321	C₅×#95	C₂³	1	1	yes	characteristic
322	#3963	C₂³	1	1	yes	characteristic
323	#3963	C₂³	1	1	yes	characteristic
324	#3963	C₂³	1	1	yes	characteristic
325	#3963	C₂³	1	1	yes	characteristic
326	#3963	C₂³	1	1	yes	characteristic
327	#3963	C₂³	1	1	yes	characteristic
328	#3963	C₂³	1	1	yes	characteristic
329	#3963	C₂³	1	1	yes	characteristic
330	#3963	C₂³	1	1	yes	characteristic
331	#3963	C₂³	1	1	yes	characteristic
332	#3963	C₂³	1	1	yes	characteristic
333	#3963	C₂³	1	1	yes	characteristic
334	#3963	C₂³	1	1	yes	characteristic
335	#3963	C₂³	1	1	yes	characteristic
336	#3963	C₂³	1	1	yes	characteristic
337	#3963	C₂³	1	1	yes	characteristic
338	#3963	C₂³	1	1	yes	characteristic
339	#3963	C₂³	1	1	yes	characteristic
340	#3963	C₂³	1	1	yes	characteristic
341	#3963	C₂³	1	1	yes	characteristic
342	#3963	C₂³	1	1	yes	characteristic
343	#3963	C₂³	1	1	yes	characteristic
344	#3963	C₂³	1	1	yes	characteristic
345	#3963	C₂³	1	1	yes	characteristic
346	#3963	C₂³	1	1	yes	characteristic
347	#3963	C₂³	1	1	yes	characteristic
348	#3963	C₂³	1	1	yes	characteristic
349	#3963	C₂³	1	1	yes	characteristic
350	#3963	C₂³	1	1	yes	characteristic
351	#3963	C₂³	1	1	yes	characteristic
352	#3963	C₂³	1	1	yes	characteristic
353	#3963	C₂³	1	1	yes	characteristic
354	#3963	C₂³	1	1	yes	characteristic
355	#3963	C₂³	1	1	yes	characteristic
356	#3963	C₂³	1	1	yes	characteristic
357	#3963	C₂³	1	1	yes	characteristic
358	#3963	C₂³	1	1	yes	characteristic
359	#3963	C₂³	1	1	yes	characteristic
360	#3963	C₂³	1	1	yes	characteristic
361	#3963	C₂³	1	1	yes	characteristic
362	#3963	C₂³	1	1	yes	characteristic
363	#3963	C₂³	1	1	yes	characteristic
364	#2578	—	5	1	no	—
365	#2577	—	5	1	no	—
366	#2576	—	5	1	no	—
367	#2575	—	5	1	no	—
368	#2574	—	5	1	no	—
369	#2573	—	5	1	no	—
370	#2572	—	5	1	no	—
371	#2569	—	5	1	no	—
372	#2564	—	5	1	no	—
373	#2561	—	5	1	no	—
374	#2553	—	5	1	no	—
375	#2534	—	5	1	no	—
376	#2493	—	5	1	no	—
377	#2480	—	5	1	no	—
378	#2419	—	5	1	no	—
379	#2418	—	5	1	no	—
380	#2401	—	5	1	no	—
381	#2398	—	5	1	no	—
382	#2396	—	5	1	no	—
383	#2395	—	5	1	no	—
384	C₄×#126	—	5	1	no	—
385	C₄×C₂²⋊Q₈	D₅	1	1	yes	characteristic, complemented
386	C₄×#123	—	5	1	no	—
387	C₄×#123	—	5	1	no	—
388	C₄×#120	—	5	1	no	—
389	#2298	—	5	1	no	—
390	#2290	—	5	1	no	—
391	#2283	—	5	1	no	—
392	#2280	—	5	1	no	—
393	C₄²×D₄	—	5	1	no	—
394	C₂×C₄×C₂²⋊C₄	—	5	1	no	—
395	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
396	C₂³×D₅	—	2	2	no	—
397	C₂³×D₅	—	2	2	no	—
398	C₂³×D₅	—	2	2	no	—
399	C₂³×D₅	—	2	2	no	—
400	C₂³×D₅	—	2	2	no	—
401	C₂³×D₅	—	4	1	no	—
402	C₂³×D₅	—	4	1	no	—
403	C₂³×D₅	C₂⁴	1	1	yes	characteristic
404	C₂³×D₅	C₂⁴	1	1	yes	characteristic
405	C₂³×D₅	C₂⁴	1	1	yes	characteristic
406	C₂×C₅×Q₈	—	2	2	no	—
407	C₂×C₅×Q₈	—	4	1	no	—
408	C₂×C₅×Q₈	—	4	1	no	—
409	C₂²×C₄×C₅	—	2	2	no	—
410	C₂²×C₄×C₅	—	2	2	no	—
411	C₂²×C₄×C₅	—	2	2	no	—
412	C₂²×C₄×C₅	—	2	2	no	—
413	C₂²×C₄×C₅	—	4	1	no	—
414	C₂²×C₄×C₅	—	4	1	no	—
415	C₂²×C₄×C₅	—	4	1	no	—
416	C₂²×C₄×C₅	#41	1	4	yes	—
417	C₂²×C₄×C₅	#41	1	4	yes	—
418	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
432	C₂×C₂²⋊D₅	—	2	2	no	—
433	C₂×C₂²⋊D₅	—	2	2	no	—
434	C₂×C₂²⋊D₅	#41	1	4	yes	—
435	C₂²×Dic₅	—	2	2	no	—
436	C₂²×Dic₅	—	2	2	no	—
437	C₂²×Dic₅	—	2	2	no	—
438	C₂²×Dic₅	—	2	2	no	—
439	C₂²×Dic₅	—	2	2	no	—
440	C₂²×Dic₅	—	2	2	no	—
441	C₂²×Dic₅	—	2	2	no	—
442	C₂²×Dic₅	—	4	1	no	—
443	C₂²×Dic₅	—	4	1	no	—
444	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
457	C₂×D₂₀	—	2	2	no	—
458	C₂×D₂₀	—	2	2	no	—
459	C₂×D₂₀	—	2	2	no	—
460	C₂×D₂₀	—	2	2	no	—
461	C₂×D₂₀	—	4	1	no	—
462	C₂×D₂₀	—	4	1	no	—
463	C₂×C₄×D₅	—	2	2	no	—
464	C₂×C₄×D₅	—	2	2	no	—
465	C₂×C₄×D₅	—	2	2	no	—
466	C₂×C₄×D₅	—	2	2	no	—
467	C₂×C₄×D₅	—	2	2	no	—
468	C₂×C₄×D₅	—	2	2	no	—
469	C₂×C₄×D₅	—	2	2	no	—
470	C₂×C₄×D₅	—	2	2	no	—
471	C₂×C₄×D₅	—	2	2	no	—
472	C₂×C₄×D₅	—	2	2	no	—
473	C₂×C₄×D₅	—	2	2	no	—
474	C₂×C₄×D₅	—	2	2	no	—
475	C₂×C₄×D₅	—	2	2	no	—
476	C₂×C₄×D₅	—	2	2	no	—
477	C₂×C₄×D₅	—	2	2	no	—
478	C₂×C₄×D₅	—	4	16	no	—
479	C₂×C₄×D₅	—	4	1	no	—
480	C₂×C₄×D₅	—	4	1	no	—
481	C₂×C₄×D₅	—	4	1	no	—
482	C₂×C₄×D₅	—	4	1	no	—
483	C₂×C₄×D₅	—	4	1	no	—
484	C₂×C₄×D₅	#41	1	4	yes	—
485	C₅×C₄⋊C₄	—	2	2	no	—
486	C₅×C₄⋊C₄	—	2	2	no	—
487	C₅×C₄⋊C₄	—	2	2	no	—
488	C₅×C₄⋊C₄	—	2	2	no	—
489	C₅×C₄⋊C₄	—	2	2	no	—
490	C₅×C₄⋊C₄	—	4	1	no	—
491	C₅×C₄⋊C₄	—	4	1	no	—
492	C₅×C₄⋊C₄	—	4	1	no	—
493	C₅×C₄⋊C₄	—	4	1	no	—
494	C₅×C₂²⋊C₄	—	2	2	no	—
495	C₅×C₂²⋊C₄	—	2	2	no	—
496	C₅×C₂²⋊C₄	—	2	2	no	—
497	C₅×C₂²⋊C₄	—	2	2	no	—
498	C₄²×C₅	—	2	2	no	—
499	C₄²×C₅	—	2	2	no	—
500	C₄²×C₅	—	2	2	no	—
501	C₄²×C₅	—	2	2	no	—
502	C₄²×C₅	—	2	2	no	—
503	C₄²×C₅	—	2	2	no	—
504	C₄²×C₅	—	4	1	no	—
505	C₄²×C₅	—	4	1	no	—
506	C₂²⋊Dic₅	—	2	2	no	—
507	C₂²⋊Dic₅	—	2	2	no	—
508	C₂²⋊Dic₅	—	2	2	no	—
509	#685	—	2	2	no	—
510	#685	—	2	2	no	—
511	#685	—	2	2	no	—
512	#685	—	2	2	no	—
513	#685	—	2	2	no	—
514	#685	—	2	2	no	—
515	#685	—	2	2	no	—
516	#685	—	2	2	no	—
517	#685	—	2	2	no	—
518	#685	—	2	2	no	—
519	#685	—	2	2	no	—
520	#685	—	2	2	no	—
521	#685	—	2	2	no	—
522	#685	—	2	2	no	—
523	#685	—	2	2	no	—
524	#685	—	2	2	no	—
525	#685	—	2	2	no	—
526	#685	—	2	2	no	—
527	#685	—	2	2	no	—
528	#685	—	2	2	no	—
529	#685	—	2	2	no	—
530	#685	—	2	2	no	—
531	#685	—	4	1	no	—
532	#685	—	4	1	no	—
533	#685	—	4	1	no	—
534	#685	—	4	1	no	—
535	#685	—	4	1	no	—
536	#685	—	4	1	no	—
537	#685	—	4	1	no	—
538	#685	—	4	1	no	—
539	#685	#41	1	4	yes	—
540	C₄⋊Dic₅	—	2	2	no	—
541	C₄⋊Dic₅	—	2	2	no	—
542	C₄⋊Dic₅	—	2	2	no	—
543	C₄⋊Dic₅	—	2	2	no	—
544	C₄⋊Dic₅	—	4	1	no	—
545	C₄⋊Dic₅	—	4	1	no	—
546	#683	—	2	2	no	—
547	#683	—	2	2	no	—
548	#683	—	2	2	no	—
549	#683	—	2	2	no	—
550	#683	—	2	2	no	—
551	#683	—	2	2	no	—
552	#683	—	2	2	no	—
553	#683	—	4	1	no	—
554	#683	—	4	1	no	—
555	#683	—	4	1	no	—
556	#683	—	4	1	no	—
557	C₄×Dic₅	—	2	2	no	—
558	C₄×Dic₅	—	2	2	no	—
559	C₄×Dic₅	—	2	2	no	—
560	C₄×Dic₅	—	2	2	no	—
561	C₄×Dic₅	—	2	2	no	—
562	C₄×Dic₅	—	2	2	no	—
563	C₄×Dic₅	—	2	2	no	—
564	C₄×Dic₅	—	2	2	no	—
565	C₄×Dic₅	—	2	2	no	—
566	C₄×Dic₅	—	2	2	no	—
567	C₄×Dic₅	—	4	1	no	—
568	C₄×Dic₅	—	4	1	no	—
569	C₄×Dic₅	—	4	1	no	—
570	C₂⁴×C₄	—	5	1	no	—
571	C₂×#126	—	5	1	no	—
572	C₂×#123	—	5	1	no	—
573	C₂×#123	—	5	1	no	—
574	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
575	C₂×#120	—	5	1	no	—
576	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
577	C₂×C₄×D₄	—	5	1	no	—
578	C₂×C₄×D₄	—	5	1	no	—
579	C₂×C₄×D₄	—	5	1	no	—
580	C₂×C₄×D₄	—	5	1	no	—
581	C₂×C₄×D₄	—	5	1	no	—
582	C₂×#117	—	5	1	no	—
583	C₂×#117	—	5	1	no	—
584	C₂²×C₂²⋊C₄	—	5	1	no	—
585	C₂²×C₂²⋊C₄	—	5	1	no	—
586	C₂²×C₄²	—	5	1	no	—
587	C₂²×C₄²	—	5	1	no	—
588	C₂²×C₄²	C₂×D₅	1	1	yes	characteristic
589	#401	—	5	1	no	—
590	#400	—	5	1	no	—
591	#400	—	5	1	no	—
592	#400	—	5	1	no	—
593	#400	—	5	1	no	—
594	#400	—	5	1	no	—
595	#400	—	5	1	no	—
596	#400	—	5	1	no	—
597	#399	—	5	1	no	—
598	#399	—	5	1	no	—
599	#398	—	5	1	no	—
600	#398	—	5	1	no	—
601	#398	—	5	1	no	—
602	#397	—	5	1	no	—
603	#397	—	5	1	no	—
604	#397	—	5	1	no	—
605	#397	—	5	1	no	—
606	#397	—	5	1	no	—
607	#397	—	5	1	no	—
608	#397	—	5	1	no	—
609	#397	—	5	1	no	—
610	#396	—	5	1	no	—
611	#396	—	5	1	no	—
612	#396	—	5	1	no	—
613	#395	—	5	1	no	—
614	#394	—	5	1	no	—
615	#394	—	5	1	no	—
616	#394	—	5	1	no	—
617	#394	—	5	1	no	—
618	#393	—	5	1	no	—
619	#393	—	5	1	no	—
620	#393	—	5	1	no	—
621	#391	C₂×D₅	1	1	yes	characteristic, complemented
622	#389	C₂×D₅	1	1	yes	characteristic, complemented
623	#388	—	5	1	no	—
624	#388	—	5	1	no	—
625	#388	—	5	1	no	—
626	#388	—	5	1	no	—
627	#388	—	5	1	no	—
628	#388	—	5	1	no	—
629	#388	—	5	1	no	—
630	#388	—	5	1	no	—
631	#388	—	5	1	no	—
632	#388	—	5	1	no	—
633	#388	—	5	1	no	—
634	#388	—	5	1	no	—
635	#388	—	5	1	no	—
636	#387	—	5	1	no	—
637	#387	—	5	1	no	—
638	#387	—	5	1	no	—
639	#387	—	5	1	no	—
640	#387	—	5	1	no	—
641	#387	—	5	1	no	—
642	#387	—	5	1	no	—
643	#387	—	5	1	no	—
644	#387	—	5	1	no	—
645	#387	—	5	1	no	—
646	#387	—	5	1	no	—
647	#387	—	5	1	no	—
648	#387	—	5	1	no	—
649	#387	C₂×D₅	1	1	yes	characteristic, complemented
650	#387	C₂×D₅	1	1	yes	characteristic, complemented
651	#386	—	5	1	no	—
652	#386	—	5	1	no	—
653	#386	—	5	1	no	—
654	#386	—	5	1	no	—
655	#386	—	5	1	no	—
656	#386	—	5	1	no	—
657	#386	—	5	1	no	—
658	#385	—	5	1	no	—
659	#385	—	5	1	no	—
660	#385	—	5	1	no	—
661	#385	—	5	1	no	—
662	#385	—	5	1	no	—
663	#385	—	5	1	no	—
664	#385	—	5	1	no	—
665	#385	C₂×D₅	1	1	yes	characteristic
666	#385	C₂×D₅	1	1	yes	characteristic
667	#383	—	5	1	no	—
668	#383	—	5	1	no	—
669	#383	—	5	1	no	—
670	#382	—	5	1	no	—
671	#382	—	5	1	no	—
672	#381	—	5	1	no	—
673	#381	—	5	1	no	—
674	#381	—	5	1	no	—
675	#381	—	5	1	no	—
676	#381	—	5	1	no	—
677	#381	—	5	1	no	—
678	#380	—	5	1	no	—
679	#380	—	5	1	no	—
680	#380	—	5	1	no	—
681	#380	—	5	1	no	—
682	#380	—	5	1	no	—
683	#380	—	5	1	no	—
684	#380	C₂×D₅	1	1	yes	characteristic
685	#379	—	5	1	no	—
686	#379	—	5	1	no	—
687	#379	—	5	1	no	—
688	C₄×C₄⋊C₄	—	5	1	no	—
689	C₄×C₄⋊C₄	—	5	1	no	—
690	C₄×C₄⋊C₄	—	5	1	no	—
691	C₄×C₄⋊C₄	—	5	1	no	—
692	C₄×C₄⋊C₄	—	5	1	no	—
693	C₄×C₄⋊C₄	—	5	1	no	—
694	C₄×C₄⋊C₄	—	5	1	no	—
695	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
696	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
697	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
698	C₄×C₂²⋊C₄	—	5	1	no	—
699	C₄×C₂²⋊C₄	—	5	1	no	—
700	C₄×C₂²⋊C₄	—	5	1	no	—
701	C₄×C₂²⋊C₄	—	5	1	no	—
702	C₄×C₂²⋊C₄	—	5	1	no	—
703	C₄×C₂²⋊C₄	—	5	1	no	—
704	C₄×C₂²⋊C₄	—	5	1	no	—
705	C₄×C₂²⋊C₄	—	5	1	no	—
706	C₄×C₂²⋊C₄	—	5	1	no	—
707	C₄×C₂²⋊C₄	—	5	1	no	—
708	C₄×C₂²⋊C₄	—	5	1	no	—
709	C₄×C₂²⋊C₄	—	5	1	no	—
710	C₄×C₂²⋊C₄	—	5	1	no	—
711	C₄×C₂²⋊C₄	—	5	1	no	—
712	C₄×C₂²⋊C₄	—	5	1	no	—
713	C₄×C₂²⋊C₄	—	5	1	no	—
714	C₄×C₂²⋊C₄	—	5	1	no	—
715	C₄×C₂²⋊C₄	—	5	1	no	—
716	C₄×C₂²⋊C₄	—	5	1	no	—
717	C₄×C₂²⋊C₄	—	5	1	no	—
718	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
719	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
720	#376	—	5	1	no	—
721	#376	—	5	1	no	—
722	C₂×#95	—	5	1	no	—
723	C₂×#95	—	5	1	no	—
724	C₄³	—	5	1	no	—
725	C₂³×C₅	—	2	1	no	—
726	C₂³×C₅	—	2	1	no	—
727	C₂³×C₅	—	2	1	no	—
728	C₂³×C₅	—	2	1	no	—
729	C₂³×C₅	C₂×#41	1	2	yes	—
730	C₂³×C₅	C₂×#41	1	2	yes	—
731	C₂³×C₅	C₂×#41	1	2	yes	—
732	C₂³×C₅	C₂⁵	1	1	yes	characteristic
733	C₂²×D₅	—	2	8	no	—
734	C₂²×D₅	—	2	1	no	—
735	C₂²×D₅	—	2	1	no	—
736	C₂²×D₅	—	2	1	no	—
737	C₂²×D₅	—	2	1	no	—
738	C₂²×D₅	—	2	1	no	—
739	C₂²×D₅	—	2	1	no	—
740	C₂²×D₅	—	2	1	no	—
741	C₂²×D₅	—	2	1	no	—
742	C₂²×D₅	—	2	1	no	—
743	C₂²×D₅	—	2	1	no	—
744	C₂²×D₅	—	2	1	no	—
745	C₂²×D₅	—	2	1	no	—
746	C₂²×D₅	—	2	1	no	—
747	C₂²×D₅	—	2	1	no	—
748	C₂²×D₅	—	2	1	no	—
749	C₂²×D₅	—	2	1	no	—
750	C₂²×D₅	—	2	1	no	—
751	C₂²×D₅	—	2	1	no	—
752	C₂²×D₅	—	4	4	no	—
753	C₂²×D₅	—	4	4	no	—
754	C₂²×D₅	—	4	4	no	—
755	C₂²×D₅	—	4	4	no	—
756	C₂²×D₅	—	4	4	no	—
757	C₂²×D₅	—	4	4	no	—
758	C₂²×D₅	C₂×#41	1	2	yes	—
759	C₂²×D₅	C₂×#41	1	2	yes	—
760	C₂²×D₅	C₂×#41	1	2	yes	—
761	C₅×Q₈	—	4	4	no	—
762	C₂×C₄×C₅	—	2	1	no	—
763	C₂×C₄×C₅	—	2	1	no	—
764	C₂×C₄×C₅	—	2	1	no	—
765	C₂×C₄×C₅	—	2	1	no	—
766	C₂×C₄×C₅	—	2	1	no	—
767	C₂×C₄×C₅	—	2	1	no	—
768	C₂×C₄×C₅	—	2	1	no	—
769	C₂×C₄×C₅	—	2	1	no	—
770	C₂×C₄×C₅	—	2	8	no	—
771	C₂×C₄×C₅	—	2	1	no	—
772	C₂×C₄×C₅	—	2	1	no	—
773	C₂×C₄×C₅	—	2	1	no	—
774	C₂×C₄×C₅	—	2	1	no	—
775	C₂×C₄×C₅	—	2	1	no	—
776	C₂×C₄×C₅	—	2	1	no	—
777	C₂×C₄×C₅	—	2	1	no	—
778	C₂×C₄×C₅	—	2	1	no	—
779	C₂×C₄×C₅	—	2	1	no	—
780	C₂×C₄×C₅	—	2	1	no	—
781	C₂×C₄×C₅	—	2	1	no	—
782	C₂×C₄×C₅	—	2	1	no	—
783	C₂×C₄×C₅	—	2	1	no	—
784	C₂×C₄×C₅	—	2	1	no	—
785	C₂×C₄×C₅	—	2	1	no	—
786	C₂×C₄×C₅	—	2	1	no	—
787	C₂×C₄×C₅	—	2	1	no	—
788	C₂×C₄×C₅	—	2	1	no	—
789	C₂×C₄×C₅	—	2	1	no	—
790	C₂×C₄×C₅	—	2	1	no	—
791	C₂×C₄×C₅	—	2	1	no	—
792	C₂×C₄×C₅	—	2	1	no	—
793	C₂×C₄×C₅	—	2	1	no	—
794	C₂×C₄×C₅	—	2	1	no	—
795	C₂×C₄×C₅	—	2	1	no	—
796	C₂×C₄×C₅	—	2	1	no	—
797	C₂×C₄×C₅	—	2	1	no	—
798	C₂×C₄×C₅	—	4	4	no	—
799	C₂×C₄×C₅	—	4	4	no	—
800	C₂×C₄×C₅	C₂×#41	1	2	yes	—
801	C₂×C₄×C₅	C₂×#41	1	2	yes	—
802	C₂×C₄×C₅	C₂×#41	1	2	yes	—
803	C₂×C₄×C₅	C₂×#41	1	2	yes	—
804	C₂×C₄×C₅	C₂×#41	1	2	yes	—
805	C₂×C₄×C₅	C₂×#41	1	2	yes	—
806	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
807	C₂²⋊D₅	—	2	8	no	—
808	C₂×Dic₅	—	2	1	no	—
809	C₂×Dic₅	—	2	1	no	—
810	C₂×Dic₅	—	2	1	no	—
811	C₂×Dic₅	—	2	1	no	—
812	C₂×Dic₅	—	2	1	no	—
813	C₂×Dic₅	—	2	1	no	—
814	C₂×Dic₅	—	2	1	no	—
815	C₂×Dic₅	—	2	1	no	—
816	C₂×Dic₅	—	2	1	no	—
817	C₂×Dic₅	—	2	1	no	—
818	C₂×Dic₅	—	2	1	no	—
819	C₂×Dic₅	—	2	1	no	—
820	C₂×Dic₅	—	2	1	no	—
821	C₂×Dic₅	—	2	1	no	—
822	C₂×Dic₅	—	2	1	no	—
823	C₂×Dic₅	—	2	1	no	—
824	C₂×Dic₅	—	2	1	no	—
825	C₂×Dic₅	—	2	1	no	—
826	C₂×Dic₅	—	2	1	no	—
827	C₂×Dic₅	—	2	1	no	—
828	C₂×Dic₅	—	2	1	no	—
829	C₂×Dic₅	—	2	1	no	—
830	C₂×Dic₅	—	2	1	no	—
831	C₂×Dic₅	—	2	1	no	—
832	C₂×Dic₅	—	2	1	no	—
833	C₂×Dic₅	—	2	1	no	—
834	C₂×Dic₅	—	2	1	no	—
835	C₂×Dic₅	—	2	1	no	—
836	C₂×Dic₅	—	2	1	no	—
837	C₂×Dic₅	—	2	1	no	—
838	C₂×Dic₅	—	2	1	no	—
839	C₂×Dic₅	—	2	1	no	—
840	C₂×Dic₅	—	2	1	no	—
841	C₂×Dic₅	—	2	1	no	—
842	C₂×Dic₅	—	2	1	no	—
843	C₂×Dic₅	—	2	1	no	—
844	C₂×Dic₅	—	4	4	no	—
845	C₂×Dic₅	—	4	4	no	—
846	C₂×Dic₅	—	4	4	no	—
847	C₂×Dic₅	C₂×#41	1	2	yes	—
848	C₂×Dic₅	C₂×#41	1	2	yes	—
849	C₂×Dic₅	C₂×#41	1	2	yes	—
850	D₂₀	—	4	4	no	—
851	D₂₀	—	4	4	no	—
852	C₄×D₅	—	2	8	no	—
853	C₄×D₅	—	4	4	no	—
854	C₄×D₅	—	4	4	no	—
855	C₄×D₅	—	4	4	no	—
856	C₄×D₅	—	4	4	no	—
857	C₄×D₅	—	4	4	no	—
858	C₄×D₅	—	4	4	no	—
859	C₂⁵	—	5	1	no	—
860	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
861	C₂²×D₄	—	5	1	no	—
862	C₂²×D₄	—	5	1	no	—
863	C₂²×D₄	—	5	1	no	—
864	C₂³×C₄	—	5	1	no	—
865	C₂³×C₄	—	5	1	no	—
866	C₂³×C₄	—	5	1	no	—
867	C₂³×C₄	—	5	1	no	—
868	C₂³×C₄	—	5	1	no	—
869	C₂³×C₄	—	5	1	no	—
870	C₂³×C₄	—	5	1	no	—
871	C₂³×C₄	—	5	1	no	—
872	C₂³×C₄	—	5	1	no	—
873	C₂³×C₄	—	5	1	no	—
874	C₂³×C₄	—	10	4	no	—
875	C₂³×C₄	—	10	4	no	—
876	C₂³×C₄	—	20	2	no	—
877	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
878	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
879	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
880	#126	—	10	4	no	—
881	#123	—	10	4	no	—
882	#123	—	10	4	no	—
883	C₂²⋊Q₈	—	2	4	no	—
884	#120	—	10	4	no	—
885	C₄×Q₈	—	4	2	no	—
886	C₄×D₄	—	10	4	no	—
887	C₄×D₄	—	10	4	no	—
888	C₄×D₄	—	10	4	no	—
889	C₄×D₄	—	10	4	no	—
890	C₄×D₄	—	20	2	no	—
891	#117	—	10	4	no	—
892	#117	—	20	2	no	—
893	C₂×C₄⋊C₄	—	5	1	no	—
894	C₂×C₄⋊C₄	—	5	1	no	—
895	C₂×C₄⋊C₄	—	5	1	no	—
896	C₂×C₄⋊C₄	—	5	1	no	—
897	C₂×C₄⋊C₄	—	5	1	no	—
898	C₂×C₄⋊C₄	—	5	1	no	—
899	C₂×C₄⋊C₄	—	5	1	no	—
900	C₂×C₄⋊C₄	—	5	1	no	—
901	C₂×C₄⋊C₄	—	5	1	no	—
902	C₂×C₄⋊C₄	—	5	1	no	—
903	C₂×C₄⋊C₄	—	5	1	no	—
904	C₂×C₄⋊C₄	—	5	1	no	—
905	C₂×C₄⋊C₄	—	5	1	no	—
906	C₂×C₄⋊C₄	—	5	1	no	—
907	C₂×C₄⋊C₄	—	5	1	no	—
908	C₂×C₄⋊C₄	—	5	1	no	—
909	C₂×C₄⋊C₄	—	5	1	no	—
910	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	—	5	1	no	—
920	C₂×C₂²⋊C₄	—	5	1	no	—
921	C₂×C₂²⋊C₄	—	5	1	no	—
922	C₂×C₂²⋊C₄	—	5	1	no	—
923	C₂×C₂²⋊C₄	—	5	1	no	—
924	C₂×C₂²⋊C₄	—	5	1	no	—
925	C₂×C₂²⋊C₄	—	5	1	no	—
926	C₂×C₂²⋊C₄	—	5	1	no	—
927	C₂×C₂²⋊C₄	—	5	1	no	—
928	C₂×C₂²⋊C₄	—	5	1	no	—
929	C₂×C₂²⋊C₄	—	5	1	no	—
930	C₂×C₂²⋊C₄	—	5	1	no	—
931	C₂×C₂²⋊C₄	—	5	1	no	—
932	C₂×C₂²⋊C₄	—	5	1	no	—
933	C₂×C₂²⋊C₄	—	5	1	no	—
934	C₂×C₂²⋊C₄	—	5	1	no	—
935	C₂×C₂²⋊C₄	—	5	1	no	—
936	C₂×C₂²⋊C₄	—	5	1	no	—
937	C₂×C₂²⋊C₄	—	5	1	no	—
938	C₂×C₂²⋊C₄	—	5	1	no	—
939	C₂×C₂²⋊C₄	—	5	1	no	—
940	C₂×C₂²⋊C₄	—	5	1	no	—
941	C₂×C₂²⋊C₄	—	5	1	no	—
942	C₂×C₂²⋊C₄	—	5	1	no	—
943	C₂×C₂²⋊C₄	—	5	1	no	—
944	C₂×C₂²⋊C₄	—	5	1	no	—
945	C₂×C₂²⋊C₄	—	5	1	no	—
946	C₂×C₂²⋊C₄	—	5	1	no	—
947	C₂×C₂²⋊C₄	—	5	1	no	—
948	C₂×C₂²⋊C₄	—	5	1	no	—
949	C₂×C₂²⋊C₄	—	5	1	no	—
950	C₂×C₂²⋊C₄	—	5	1	no	—
951	C₂×C₂²⋊C₄	—	5	1	no	—
952	C₂×C₂²⋊C₄	—	5	1	no	—
953	C₂×C₂²⋊C₄	—	10	4	no	—
954	C₂×C₂²⋊C₄	—	10	4	no	—
955	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
959	C₂×C₄²	—	4	2	no	—
960	C₂×C₄²	—	5	1	no	—
961	C₂×C₄²	—	5	1	no	—
962	C₂×C₄²	—	5	1	no	—
963	C₂×C₄²	—	5	1	no	—
964	C₂×C₄²	—	5	1	no	—
965	C₂×C₄²	—	5	1	no	—
966	C₂×C₄²	—	5	1	no	—
967	C₂×C₄²	—	5	1	no	—
968	C₂×C₄²	—	5	1	no	—
969	C₂×C₄²	—	5	1	no	—
970	C₂×C₄²	—	5	1	no	—
971	C₂×C₄²	—	5	1	no	—
972	C₂×C₄²	—	5	1	no	—
973	C₂×C₄²	—	10	4	no	—
974	C₂×C₄²	—	20	2	no	—
975	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
976	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
977	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
978	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
979	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
980	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
981	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
982	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
983	#95	—	5	1	no	—
984	#95	—	5	1	no	—
985	#95	—	5	1	no	—
986	#95	—	5	1	no	—
987	#95	—	5	1	no	—
988	#95	—	5	1	no	—
989	#95	—	5	1	no	—
990	#95	—	5	1	no	—
991	#95	—	5	1	no	—
992	#95	—	5	1	no	—
993	#95	—	5	1	no	—
994	#95	—	5	1	no	—
995	#95	—	5	1	no	—
996	#95	—	5	1	no	—
997	#95	—	5	1	no	—
998	#95	—	5	1	no	—
999	#95	—	5	1	no	—
1000	#95	—	5	1	no	—
1001	#95	—	5	1	no	—
1002	#95	—	5	1	no	—
1003	#95	—	5	1	no	—
1004	#95	—	5	1	no	—
1005	#95	—	5	1	no	—
1006	#95	—	5	1	no	—
1007	#95	—	5	1	no	—
1008	#95	—	5	1	no	—
1009	#95	—	5	1	no	—
1010	#95	—	5	1	no	—
1011	#95	—	5	1	no	—
1012	#95	—	5	1	no	—
1013	#95	—	5	1	no	—
1014	#95	—	5	1	no	—
1015	#95	—	5	1	no	—
1016	#95	—	5	1	no	—
1017	#95	—	5	1	no	—
1018	#95	—	5	1	no	—
1019	#95	—	5	1	no	—
1020	#95	—	5	1	no	—
1021	#95	—	5	1	no	—
1022	#95	—	5	1	no	—
1023	#95	—	5	1	no	—
1024	#95	—	5	1	no	—
1025	#95	C₂²×D₅	1	1	yes	characteristic
1026	#95	C₂²×D₅	1	1	yes	characteristic
1027	#95	C₂²×D₅	1	1	yes	characteristic
1028	#95	C₂²×D₅	1	1	yes	characteristic
1029	#95	C₂²×D₅	1	1	yes	characteristic
1030	#95	C₂²×D₅	1	1	yes	characteristic
1031	#95	C₂²×D₅	1	1	yes	characteristic
1032	#95	C₂²×D₅	1	1	yes	characteristic
1033	#95	C₂²×D₅	1	1	yes	characteristic
1034	#95	C₂²×D₅	1	1	yes	characteristic
1035	C₂²×C₅	—	2	2	no	—
1036	C₂²×C₅	—	2	2	no	—
1037	C₂²×C₅	—	2	2	no	—
1038	C₂²×C₅	—	2	2	no	—
1039	C₂²×C₅	—	2	2	no	—
1040	C₂²×C₅	—	2	2	no	—
1041	C₂²×C₅	#529	1	4	yes	—
1042	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1043	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1044	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1045	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1046	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1047	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1048	C₂²×C₅	#585	1	1	yes	characteristic
1049	C₂×D₅	—	2	2	no	—
1050	C₂×D₅	—	2	2	no	—
1051	C₂×D₅	—	2	2	no	—
1052	C₂×D₅	—	2	2	no	—
1053	C₂×D₅	—	2	2	no	—
1054	C₂×D₅	—	2	2	no	—
1055	C₂×D₅	—	2	2	no	—
1056	C₂×D₅	—	2	2	no	—
1057	C₂×D₅	—	2	2	no	—
1058	C₂×D₅	—	4	16	no	—
1059	C₂×D₅	—	4	1	no	—
1060	C₂×D₅	—	4	1	no	—
1061	C₂×D₅	—	4	1	no	—
1062	C₂×D₅	—	4	1	no	—
1063	C₂×D₅	—	4	1	no	—
1064	C₂×D₅	—	4	1	no	—
1065	C₂×D₅	—	4	1	no	—
1066	C₂×D₅	—	4	1	no	—
1067	C₂×D₅	—	4	1	no	—
1068	C₂×D₅	—	4	1	no	—
1069	C₂×D₅	—	4	1	no	—
1070	C₂×D₅	—	4	1	no	—
1071	C₄×C₅	—	2	2	no	—
1072	C₄×C₅	—	2	2	no	—
1073	C₄×C₅	—	2	2	no	—
1074	C₄×C₅	—	2	2	no	—
1075	C₄×C₅	—	4	1	no	—
1076	C₄×C₅	—	4	1	no	—
1077	C₄×C₅	—	4	1	no	—
1078	C₄×C₅	—	4	1	no	—
1079	C₄×C₅	—	4	1	no	—
1080	C₄×C₅	—	4	1	no	—
1081	C₄×C₅	—	4	1	no	—
1082	C₄×C₅	—	4	1	no	—
1083	C₄×C₅	—	4	1	no	—
1084	C₄×C₅	#551	1	4	yes	—
1085	Dic₅	—	2	2	no	—
1086	Dic₅	—	2	2	no	—
1087	Dic₅	—	2	2	no	—
1088	Dic₅	—	4	1	no	—
1089	Dic₅	—	4	1	no	—
1090	Dic₅	—	4	1	no	—
1091	Dic₅	—	4	1	no	—
1092	Dic₅	—	4	1	no	—
1093	Dic₅	—	4	1	no	—
1094	Dic₅	—	4	1	no	—
1095	Dic₅	—	4	1	no	—
1096	Dic₅	—	4	1	no	—
1097	Dic₅	—	4	1	no	—
1098	C₂⁴	—	5	1	no	—
1099	C₂⁴	—	5	1	no	—
1100	C₂⁴	—	5	1	no	—
1101	C₂⁴	—	10	2	no	—
1102	C₂⁴	—	10	2	no	—
1103	C₂⁴	—	10	2	no	—
1104	C₂⁴	—	10	2	no	—
1105	C₂⁴	—	10	2	no	—
1106	C₂⁴	—	20	1	no	—
1107	C₂⁴	—	20	1	no	—
1108	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1109	C₂×Q₈	—	2	2	no	—
1110	C₂×Q₈	—	4	1	no	—
1111	C₂×Q₈	—	4	1	no	—
1112	C₂×D₄	—	5	4	no	—
1113	C₂×D₄	—	10	2	no	—
1114	C₂×D₄	—	10	2	no	—
1115	C₂×D₄	—	10	2	no	—
1116	C₂×D₄	—	10	2	no	—
1117	C₂×D₄	—	10	2	no	—
1118	C₂×D₄	—	10	2	no	—
1119	C₂×D₄	—	20	1	no	—
1120	C₂×D₄	—	20	1	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	2	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	—	4	1	no	—
1127	C₂²×C₄	—	4	1	no	—
1128	C₂²×C₄	—	5	1	no	—
1129	C₂²×C₄	—	5	1	no	—
1130	C₂²×C₄	—	5	1	no	—
1131	C₂²×C₄	—	5	4	no	—
1132	C₂²×C₄	—	5	1	no	—
1133	C₂²×C₄	—	5	1	no	—
1134	C₂²×C₄	—	5	1	no	—
1135	C₂²×C₄	—	5	1	no	—
1136	C₂²×C₄	—	5	1	no	—
1137	C₂²×C₄	—	5	1	no	—
1138	C₂²×C₄	—	5	1	no	—
1139	C₂²×C₄	—	5	1	no	—
1140	C₂²×C₄	—	5	1	no	—
1141	C₂²×C₄	—	5	1	no	—
1142	C₂²×C₄	—	10	2	no	—
1143	C₂²×C₄	—	10	2	no	—
1144	C₂²×C₄	—	10	2	no	—
1145	C₂²×C₄	—	10	2	no	—
1146	C₂²×C₄	—	10	2	no	—
1147	C₂²×C₄	—	10	2	no	—
1148	C₂²×C₄	—	10	2	no	—
1149	C₂²×C₄	—	10	2	no	—
1150	C₂²×C₄	—	10	2	no	—
1151	C₂²×C₄	—	10	2	no	—
1152	C₂²×C₄	—	10	2	no	—
1153	C₂²×C₄	—	10	2	no	—
1154	C₂²×C₄	—	10	2	no	—
1155	C₂²×C₄	—	10	2	no	—
1156	C₂²×C₄	—	10	2	no	—
1157	C₂²×C₄	—	10	2	no	—
1158	C₂²×C₄	—	10	2	no	—
1159	C₂²×C₄	—	10	2	no	—
1160	C₂²×C₄	—	10	2	no	—
1161	C₂²×C₄	—	10	2	no	—
1162	C₂²×C₄	—	10	2	no	—
1163	C₂²×C₄	—	10	2	no	—
1164	C₂²×C₄	—	20	1	no	—
1165	C₂²×C₄	—	20	1	no	—
1166	C₂²×C₄	—	20	1	no	—
1167	C₂²×C₄	—	20	1	no	—
1168	C₂²×C₄	—	20	1	no	—
1169	C₂²×C₄	—	20	16	no	—
1170	C₂²×C₄	—	20	1	no	—
1171	C₂²×C₄	—	20	1	no	—
1172	C₂²×C₄	#709	1	4	yes	—
1173	C₂²×C₄	#713	1	4	yes	—
1174	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1188	C₄⋊C₄	—	2	2	no	—
1189	C₄⋊C₄	—	2	2	no	—
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	10	2	no	—
1198	C₄⋊C₄	—	10	2	no	—
1199	C₄⋊C₄	—	10	2	no	—
1200	C₄⋊C₄	—	10	2	no	—
1201	C₄⋊C₄	—	10	2	no	—
1202	C₄⋊C₄	—	10	2	no	—
1203	C₄⋊C₄	—	10	2	no	—
1204	C₄⋊C₄	—	10	2	no	—
1205	C₄⋊C₄	—	10	2	no	—
1206	C₄⋊C₄	—	10	2	no	—
1207	C₄⋊C₄	—	10	2	no	—
1208	C₄⋊C₄	—	20	1	no	—
1209	C₄⋊C₄	—	20	1	no	—
1210	C₄⋊C₄	—	20	1	no	—
1211	C₄⋊C₄	—	20	1	no	—
1212	C₄⋊C₄	—	20	1	no	—
1213	C₄⋊C₄	—	20	1	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	5	4	no	—
1219	C₂²⋊C₄	—	10	2	no	—
1220	C₂²⋊C₄	—	10	2	no	—
1221	C₂²⋊C₄	—	10	2	no	—
1222	C₂²⋊C₄	—	10	2	no	—
1223	C₂²⋊C₄	—	10	2	no	—
1224	C₂²⋊C₄	—	10	2	no	—
1225	C₂²⋊C₄	—	10	2	no	—
1226	C₂²⋊C₄	—	10	2	no	—
1227	C₂²⋊C₄	—	10	2	no	—
1228	C₂²⋊C₄	—	10	2	no	—
1229	C₂²⋊C₄	—	10	2	no	—
1230	C₂²⋊C₄	—	10	2	no	—
1231	C₂²⋊C₄	—	10	2	no	—
1232	C₂²⋊C₄	—	10	2	no	—
1233	C₂²⋊C₄	—	10	2	no	—
1234	C₂²⋊C₄	—	10	2	no	—
1235	C₂²⋊C₄	—	10	2	no	—
1236	C₂²⋊C₄	—	10	2	no	—
1237	C₂²⋊C₄	—	10	2	no	—
1238	C₂²⋊C₄	—	10	2	no	—
1239	C₂²⋊C₄	—	10	2	no	—
1240	C₂²⋊C₄	—	10	2	no	—
1241	C₂²⋊C₄	—	10	2	no	—
1242	C₂²⋊C₄	—	10	2	no	—
1243	C₂²⋊C₄	—	10	2	no	—
1244	C₂²⋊C₄	—	20	1	no	—
1245	C₂²⋊C₄	—	20	1	no	—
1246	C₂²⋊C₄	—	20	1	no	—
1247	C₂²⋊C₄	—	20	1	no	—
1248	C₂²⋊C₄	—	20	1	no	—
1249	C₂²⋊C₄	—	20	1	no	—
1250	C₂²⋊C₄	—	20	1	no	—
1251	C₂²⋊C₄	—	20	1	no	—
1252	C₄²	—	2	2	no	—
1253	C₄²	—	2	2	no	—
1254	C₄²	—	2	2	no	—
1255	C₄²	—	2	2	no	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	2	2	no	—
1258	C₄²	—	4	1	no	—
1259	C₄²	—	4	1	no	—
1260	C₄²	—	10	2	no	—
1261	C₄²	—	10	2	no	—
1262	C₄²	—	10	2	no	—
1263	C₄²	—	10	2	no	—
1264	C₄²	—	10	2	no	—
1265	C₄²	—	10	2	no	—
1266	C₄²	—	10	2	no	—
1267	C₄²	—	10	2	no	—
1268	C₄²	—	10	2	no	—
1269	C₄²	—	10	2	no	—
1270	C₄²	—	20	1	no	—
1271	C₄²	—	20	1	no	—
1272	C₄²	—	20	1	no	—
1273	C₂×C₅	—	2	4	no	—
1274	C₂×C₅	C₂×#529	1	1	yes	characteristic
1275	C₂×C₅	#3444	1	1	yes	characteristic
1276	C₂×C₅	#3459	1	1	yes	characteristic
1277	C₂×C₅	C₂×#551	1	1	yes	characteristic
1278	C₂×C₅	#3475	1	1	yes	characteristic
1279	C₂×C₅	#3475	1	1	yes	characteristic
1280	C₂×C₅	#3481	1	1	yes	characteristic
1281	D₅	—	4	2	no	—
1282	D₅	—	4	2	no	—
1283	D₅	—	4	2	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	5	2	no	—
1289	C₂³	—	5	2	no	—
1290	C₂³	—	5	2	no	—
1291	C₂³	—	10	8	no	—
1292	C₂³	—	10	1	no	—
1293	C₂³	—	10	1	no	—
1294	C₂³	—	10	1	no	—
1295	C₂³	—	10	1	no	—
1296	C₂³	—	10	1	no	—
1297	C₂³	—	10	1	no	—
1298	C₂³	—	10	1	no	—
1299	C₂³	—	10	1	no	—
1300	C₂³	—	10	1	no	—
1301	C₂³	—	10	1	no	—
1302	C₂³	—	10	1	no	—
1303	C₂³	—	10	1	no	—
1304	C₂³	—	10	1	no	—
1305	C₂³	—	10	1	no	—
1306	C₂³	—	10	1	no	—
1307	C₂³	—	10	1	no	—
1308	C₂³	—	10	1	no	—
1309	C₂³	—	10	1	no	—
1310	C₂³	—	20	4	no	—
1311	C₂³	—	20	4	no	—
1312	C₂³	—	20	4	no	—
1313	C₂³	—	20	4	no	—
1314	C₂³	—	20	4	no	—
1315	C₂³	—	20	4	no	—
1316	C₂³	C₂×#709	1	2	yes	—
1317	C₂³	C₂×#713	1	2	yes	—
1318	C₂³	D₅×#41	1	2	yes	—
1319	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1320	Q₈	—	4	4	no	—
1321	D₄	—	10	8	no	—
1322	D₄	—	20	4	no	—
1323	D₄	—	20	4	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	8	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	4	no	—
1362	C₂×C₄	—	5	2	no	—
1363	C₂×C₄	—	5	2	no	—
1364	C₂×C₄	—	5	2	no	—
1365	C₂×C₄	—	10	1	no	—
1366	C₂×C₄	—	10	1	no	—
1367	C₂×C₄	—	10	1	no	—
1368	C₂×C₄	—	10	1	no	—
1369	C₂×C₄	—	10	1	no	—
1370	C₂×C₄	—	10	1	no	—
1371	C₂×C₄	—	10	8	no	—
1372	C₂×C₄	—	10	1	no	—
1373	C₂×C₄	—	10	1	no	—
1374	C₂×C₄	—	10	1	no	—
1375	C₂×C₄	—	10	1	no	—
1376	C₂×C₄	—	10	1	no	—
1377	C₂×C₄	—	10	1	no	—
1378	C₂×C₄	—	10	1	no	—
1379	C₂×C₄	—	10	1	no	—
1380	C₂×C₄	—	10	1	no	—
1381	C₂×C₄	—	10	1	no	—
1382	C₂×C₄	—	10	1	no	—
1383	C₂×C₄	—	10	1	no	—
1384	C₂×C₄	—	10	1	no	—
1385	C₂×C₄	—	10	1	no	—
1386	C₂×C₄	—	10	1	no	—
1387	C₂×C₄	—	10	1	no	—
1388	C₂×C₄	—	10	1	no	—
1389	C₂×C₄	—	10	1	no	—
1390	C₂×C₄	—	10	1	no	—
1391	C₂×C₄	—	10	1	no	—
1392	C₂×C₄	—	10	1	no	—
1393	C₂×C₄	—	10	1	no	—
1394	C₂×C₄	—	10	1	no	—
1395	C₂×C₄	—	10	1	no	—
1396	C₂×C₄	—	10	1	no	—
1397	C₂×C₄	—	10	1	no	—
1398	C₂×C₄	—	10	1	no	—
1399	C₂×C₄	—	10	1	no	—
1400	C₂×C₄	—	10	1	no	—
1401	C₂×C₄	—	10	1	no	—
1402	C₂×C₄	—	20	4	no	—
1403	C₂×C₄	—	20	4	no	—
1404	C₂×C₄	—	20	4	no	—
1405	C₂×C₄	—	20	4	no	—
1406	C₂×C₄	—	20	4	no	—
1407	C₂×C₄	—	20	4	no	—
1408	C₂×C₄	—	20	4	no	—
1409	C₂×C₄	—	20	4	no	—
1410	C₂×C₄	—	20	4	no	—
1411	C₂×C₄	C₂×#709	1	2	yes	—
1412	C₂×C₄	C₂×#709	1	2	yes	—
1413	C₂×C₄	#4144	1	2	yes	—
1414	C₂×C₄	C₂×#713	1	2	yes	—
1415	C₂×C₄	C₂×#713	1	2	yes	—
1416	C₂×C₄	D₅×#41	1	2	yes	—
1417	C₂×C₄	D₅×#41	1	2	yes	—
1418	C₅	#34849	1	1	yes	characteristic, complemented, Sylow
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	10	2	no	—
1426	C₂²	—	10	2	no	—
1427	C₂²	—	10	2	no	—
1428	C₂²	—	10	2	no	—
1429	C₂²	—	10	2	no	—
1430	C₂²	—	10	2	no	—
1431	C₂²	—	10	2	no	—
1432	C₂²	—	10	2	no	—
1433	C₂²	—	10	2	no	—
1434	C₂²	—	20	16	no	—
1435	C₂²	—	20	1	no	—
1436	C₂²	—	20	1	no	—
1437	C₂²	—	20	1	no	—
1438	C₂²	—	20	1	no	—
1439	C₂²	—	20	1	no	—
1440	C₂²	—	20	1	no	—
1441	C₂²	—	20	1	no	—
1442	C₂²	—	20	1	no	—
1443	C₂²	—	20	1	no	—
1444	C₂²	—	20	1	no	—
1445	C₂²	—	20	1	no	—
1446	C₂²	—	20	1	no	—
1447	C₂²	#65914	1	4	yes	—
1448	C₂²	C₂²×#709	1	1	yes	characteristic
1449	C₂²	C₂×#4144	1	1	yes	characteristic
1450	C₂²	C₂²×#713	1	1	yes	characteristic
1451	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1452	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1453	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1454	C₂²	#66283	1	1	yes	characteristic
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	2	2	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	10	2	no	—
1469	C₄	—	10	2	no	—
1470	C₄	—	10	2	no	—
1471	C₄	—	20	1	no	—
1472	C₄	—	20	1	no	—
1473	C₄	—	20	1	no	—
1474	C₄	—	20	1	no	—
1475	C₄	—	20	1	no	—
1476	C₄	—	20	1	no	—
1477	C₄	—	20	1	no	—
1478	C₄	—	20	1	no	—
1479	C₄	—	20	1	no	—
1480	C₄	—	20	1	no	—
1481	C₄	#65971	1	4	yes	—
1482	C₂	—	2	4	no	—
1483	C₂	—	20	2	no	—
1484	C₂	—	20	2	no	—
1485	C₂	—	20	2	no	—
1486	C₂	#10617677	1	1	yes	characteristic
1487	C₂	C₂×#65914	1	1	yes	characteristic
1488	C₂	#10617737	1	1	yes	characteristic
1489	C₂	C₂×#65971	1	1	yes	characteristic
1490	C₂	#10617939	1	1	yes	characteristic
1491	C₂	#10618051	1	1	yes	characteristic
1492	C₂	#10618177	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Frattini	C₂³	C₂⁴×D₅
Fitting	C₄×C₅×C₂²⋊Q₈	C₂
prime radical	C₂×#4028	C₂²
hypercenter	C₄×C₂²⋊Q₈	D₅
hypocenter	C₅	#34849
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
1. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
2. #10614550	C₂	semidirect
3. #10614515	C₂	semidirect
4. #10614223	C₂	semidirect
5. #10614222	C₂	semidirect
6. C₄²×C₂²⋊D₅	C₂	semidirect
7. C₂×C₄×#685	C₂	semidirect
8. #10608369	C₂	semidirect
9. #10608277	C₂	semidirect
10. #10607977	C₂	semidirect
11. #10607976	C₂	semidirect
12. #10607100	C₂	semidirect
13. #10607098	C₂	semidirect
14. #10607097	C₂	semidirect
15. #10607095	C₂	semidirect
17. #10606189	C₂	semidirect
18. #10606183	C₂	semidirect
19. #10606139	C₂	semidirect
21. #10605676	C₂	semidirect
22. #10605510	C₂	semidirect
23. #10605508	C₂	semidirect
24. C₄×#4040	C₂	semidirect
25. #10605485	C₂	semidirect
26. C₄×#4044	C₂	semidirect
27. #10605351	C₂	semidirect
29. #10605292	C₂	semidirect
30. C₄×#4032	C₂	semidirect
31. #10605168	C₂	semidirect
34. C₂×C₄×C₅×Q₈	C₂²	semidirect
50. C₂×C₄²×D₅	C₂²	semidirect
51. C₅×#391	C₂²	semidirect
52. C₅×#389	C₂²	semidirect
53. C₅×#387	C₂²	semidirect
54. C₅×#387	C₂²	semidirect
58. C₄×C₅×C₄⋊C₄	C₂²	semidirect
59. C₄×C₅×C₄⋊C₄	C₂²	semidirect
60. C₄×C₅×C₄⋊C₄	C₂²	semidirect
65. #65520	C₂²	semidirect
66. #65518	C₂²	semidirect
78. #65282	C₂²	semidirect
80. #65281	C₂²	semidirect
90. #65278	C₂²	semidirect
91. #65278	C₂²	semidirect
92. #65278	C₂²	semidirect
93. #65275	C₂²	semidirect
94. #65275	C₂²	semidirect
95. #65275	C₂²	semidirect
96. #65273	C₂²	semidirect
97. #65273	C₂²	semidirect
98. #65273	C₂²	semidirect
99. #65271	C₂²	semidirect
100. #65271	C₂²	semidirect
101. #65270	C₂²	semidirect
102. #65270	C₂²	semidirect
103. #65267	C₂²	semidirect
104. #65267	C₂²	semidirect
105. #65267	C₂²	semidirect
132. C₄×#685	C₂²	semidirect
133. C₄×#685	C₂²	semidirect
134. C₄×#685	C₂²	semidirect
135. C₄×#685	C₂²	semidirect
136. C₄×#685	C₂²	semidirect
137. C₄×C₄⋊Dic₅	C₂²	semidirect
138. C₄×C₄⋊Dic₅	C₂²	semidirect
139. #65221	C₂²	semidirect
140. #65221	C₂²	semidirect
141. C₄×#683	C₂²	semidirect
142. C₄×#683	C₂²	semidirect
143. C₄×#683	C₂²	semidirect
144. C₄×#683	C₂²	semidirect
145. C₄×#683	C₂²	semidirect
146. C₄²×Dic₅	C₂²	semidirect
149. #64964	C₂²	semidirect
155. #64959	C₂²	semidirect
156. #64959	C₂²	semidirect
170. #64953	C₂²	semidirect
171. C₅⋊#401	C₂²	semidirect
172. #64949	C₂²	semidirect
173. #64949	C₂²	semidirect
174. #64944	C₂²	semidirect
175. #64944	C₂²	semidirect
176. #64944	C₂²	semidirect
177. #64943	C₂²	semidirect
178. #64943	C₂²	semidirect
179. #64943	C₂²	semidirect
180. #64942	C₂²	semidirect
181. #64942	C₂²	semidirect
182. #64940	C₂²	semidirect
183. #64940	C₂²	semidirect
184. #64940	C₂²	semidirect
185. #64939	C₂²	semidirect
186. #64939	C₂²	semidirect
385. C₄×C₂²⋊Q₈	D₅	semidirect
576. C₂×C₄×Q₈	C₂×D₅	semidirect
621. #391	C₂×D₅	semidirect
622. #389	C₂×D₅	semidirect
649. #387	C₂×D₅	semidirect
650. #387	C₂×D₅	semidirect
695. C₄×C₄⋊C₄	C₂×D₅	semidirect
696. C₄×C₄⋊C₄	C₂×D₅	semidirect
697. C₄×C₄⋊C₄	C₂×D₅	semidirect
1418. C₅	#34849	semidirect

Maximal subgroups

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

subgroup	index
C₄×C₅×C₂²⋊Q₈	2
#10614550	2
#10614515	2
#10614223	2
#10614222	2
C₄²×C₂²⋊D₅	2
C₂×C₄×#685	2
#10608369	2
#10608277	2
#10607977	2
#10607976	2
#10607100	2
#10607098	2
#10607097	2
#10607095	2
#10606334	2
#10606189	2
#10606183	2
#10606139	2
#10605760	2
#10605676	2
#10605510	2
#10605508	2
C₄×#4040	2
#10605485	2
C₄×#4044	2
#10605351	2
C₄×#4028	2
#10605292	2
C₄×#4032	2
#10605168	2
#34849	5