Subgroups — #12272370

Order 1280.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2589	C₂	1	1	yes	maximal, characteristic, complemented
2	#10610094	C₂	1	1	yes	maximal, characteristic, complemented
3	#10609882	C₂	1	1	yes	maximal, characteristic, complemented
4	#10609841	C₂	1	1	yes	maximal, characteristic
5	#10609751	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609696	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609475	C₂	1	1	yes	maximal, characteristic, complemented
8	#10608602	C₂	1	1	yes	maximal, characteristic
9	#10608524	C₂	1	1	yes	maximal, characteristic, complemented
10	#10608395	C₂	1	1	yes	maximal, characteristic, complemented
11	#10608343	C₂	1	1	yes	maximal, characteristic, complemented
12	#10608285	C₂	1	1	yes	maximal, characteristic, complemented
13	#10608248	C₂	1	1	yes	maximal, characteristic, complemented
14	#10608019	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607820	C₂	1	1	yes	maximal, characteristic, complemented
16	#10607556	C₂	1	1	yes	maximal, characteristic
17	#10607556	C₂	1	1	yes	maximal, characteristic
18	#10607281	C₂	1	1	yes	maximal, characteristic, complemented
19	#10607231	C₂	1	1	yes	maximal, characteristic, complemented
20	#10607031	C₂	1	1	yes	maximal, characteristic, complemented
21	#10606831	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606713	C₂	1	1	yes	maximal, characteristic, complemented
23	#10606672	C₂	1	1	yes	maximal, characteristic, complemented
24	#10606386	C₂	1	1	yes	maximal, characteristic
25	#10606386	C₂	1	1	yes	maximal, characteristic
26	#10606222	C₂	1	1	yes	maximal, characteristic, complemented
27	#10606221	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605542	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4042	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
31	#10605280	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
33	C₂×#4092	C₂²	1	1	yes	characteristic
34	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
35	C₂×#4043	C₂²	1	1	yes	characteristic
36	C₂×#4042	C₂²	1	1	yes	characteristic
37	C₂×#4042	C₂²	1	1	yes	characteristic
38	C₂×#4042	C₂²	1	1	yes	characteristic
39	C₂×#4042	C₂²	1	1	yes	characteristic
40	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×#4024	C₂²	1	1	yes	characteristic
45	C₂×#4024	C₂²	1	1	yes	characteristic
46	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
47	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
48	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
49	C₅×#400	C₂²	1	1	yes	characteristic, complemented
50	C₅×#399	C₂²	1	1	yes	characteristic
51	C₅×#398	C₂²	1	1	yes	characteristic, complemented
52	C₅×#393	C₂²	1	1	yes	characteristic
53	C₅×#391	C₂²	1	1	yes	characteristic, complemented
54	C₅×#391	C₂²	1	1	yes	characteristic, complemented
55	C₅×#389	C₂²	1	1	yes	characteristic, complemented
56	C₅×#388	C₂²	1	1	yes	characteristic
57	C₅×#388	C₂²	1	1	yes	characteristic
58	C₅×#387	C₂²	1	1	yes	characteristic, complemented
59	C₅×#387	C₂²	1	1	yes	characteristic, complemented
60	C₅×#385	C₂²	1	1	yes	characteristic
61	C₅×#385	C₂²	1	1	yes	characteristic
62	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
63	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	#65520	C₂²	1	1	yes	characteristic
65	#65519	C₂²	1	1	yes	characteristic, complemented
66	#65499	C₂²	1	1	yes	characteristic
67	#65499	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
69	#65283	C₂²	1	1	yes	characteristic
70	#65283	C₂²	1	1	yes	characteristic
71	#65281	C₂²	1	1	yes	characteristic
72	#65279	C₂²	1	1	yes	characteristic
73	#65279	C₂²	1	1	yes	characteristic
74	#65278	C₂²	1	1	yes	characteristic
75	#65278	C₂²	1	1	yes	characteristic
76	#65278	C₂²	1	1	yes	characteristic
77	#65278	C₂²	1	1	yes	characteristic
78	#65278	C₂²	1	1	yes	characteristic
79	#65278	C₂²	1	1	yes	characteristic
80	#65276	C₂²	1	1	yes	characteristic
81	#65276	C₂²	1	1	yes	characteristic
82	#65275	C₂²	1	1	yes	characteristic, complemented
83	#65273	C₂²	1	1	yes	characteristic, complemented
84	#65273	C₂²	1	1	yes	characteristic, complemented
85	#65272	C₂²	1	1	yes	characteristic, complemented
86	#65271	C₂²	1	1	yes	characteristic, complemented
87	#65270	C₂²	1	1	yes	characteristic, complemented
88	#65270	C₂²	1	1	yes	characteristic, complemented
89	#65269	C₂²	1	1	yes	characteristic, complemented
90	#65265	C₂²	1	1	yes	characteristic, complemented
91	#65265	C₂²	1	1	yes	characteristic, complemented
92	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
93	#65262	C₂²	1	1	yes	characteristic, complemented
94	#65261	C₂²	1	1	yes	characteristic, complemented
95	#65261	C₂²	1	1	yes	characteristic, complemented
96	#65261	C₂²	1	1	yes	characteristic, complemented
97	#65261	C₂²	1	1	yes	characteristic, complemented
98	#65244	C₂²	1	1	yes	characteristic
99	#65244	C₂²	1	1	yes	characteristic
100	#65244	C₂²	1	1	yes	characteristic
101	#65244	C₂²	1	1	yes	characteristic
102	#65240	C₂²	1	1	yes	characteristic
103	#65240	C₂²	1	1	yes	characteristic
104	#65238	C₂²	1	1	yes	characteristic
105	#65237	C₂²	1	1	yes	characteristic
106	#65237	C₂²	1	1	yes	characteristic
107	#65237	C₂²	1	1	yes	characteristic
108	#65237	C₂²	1	1	yes	characteristic
109	#65236	C₂²	1	1	yes	characteristic
110	#65234	C₂²	1	1	yes	characteristic
111	#65234	C₂²	1	1	yes	characteristic
112	#65233	C₂²	1	1	yes	characteristic
113	#65233	C₂²	1	1	yes	characteristic
114	#65231	C₂²	1	1	yes	characteristic
115	#65231	C₂²	1	1	yes	characteristic
116	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
117	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
118	#65229	C₂²	1	1	yes	characteristic
119	#65229	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	#65222	C₂²	1	1	yes	characteristic, complemented
125	#65222	C₂²	1	1	yes	characteristic, complemented
126	C₄×#683	C₂²	1	1	yes	characteristic, complemented
127	C₄×#683	C₂²	1	1	yes	characteristic, complemented
128	#65218	C₂²	1	1	yes	characteristic, complemented
129	#65217	C₂²	1	1	yes	characteristic, complemented
130	#65217	C₂²	1	1	yes	characteristic, complemented
131	#64966	C₂²	1	1	yes	characteristic
132	#64965	C₂²	1	1	yes	characteristic
133	#64965	C₂²	1	1	yes	characteristic
134	#64962	C₂²	1	1	yes	characteristic
135	#64959	C₂²	1	1	yes	characteristic
136	#64959	C₂²	1	1	yes	characteristic
137	#64958	C₂²	1	1	yes	characteristic
138	#64958	C₂²	1	1	yes	characteristic
139	#64957	C₂²	1	1	yes	characteristic
140	#64957	C₂²	1	1	yes	characteristic
141	#64957	C₂²	1	1	yes	characteristic
142	#64957	C₂²	1	1	yes	characteristic
143	#64957	C₂²	1	1	yes	characteristic
144	#64957	C₂²	1	1	yes	characteristic
145	#64956	C₂²	1	1	yes	characteristic
146	#64956	C₂²	1	1	yes	characteristic
147	#64956	C₂²	1	1	yes	characteristic
148	#64956	C₂²	1	1	yes	characteristic
149	#64956	C₂²	1	1	yes	characteristic
150	#64956	C₂²	1	1	yes	characteristic
151	#64956	C₂²	1	1	yes	characteristic
152	#64956	C₂²	1	1	yes	characteristic
153	#64955	C₂²	1	1	yes	characteristic
154	#64955	C₂²	1	1	yes	characteristic
155	#64955	C₂²	1	1	yes	characteristic
156	#64955	C₂²	1	1	yes	characteristic
157	D₅×#95	C₂²	1	1	yes	characteristic
158	D₅×#95	C₂²	1	1	yes	characteristic
159	#64950	C₂²	1	1	yes	characteristic, complemented
160	#64949	C₂²	1	1	yes	characteristic, complemented
161	#64949	C₂²	1	1	yes	characteristic, complemented
162	#64948	C₂²	1	1	yes	characteristic, complemented
163	#64947	C₂²	1	1	yes	characteristic, complemented
164	#64947	C₂²	1	1	yes	characteristic, complemented
165	#64946	C₂²	1	1	yes	characteristic, complemented
166	#64946	C₂²	1	1	yes	characteristic, complemented
167	#64943	C₂²	1	1	yes	characteristic, complemented
168	#64943	C₂²	1	1	yes	characteristic, complemented
169	#64942	C₂²	1	1	yes	characteristic, complemented
170	#64942	C₂²	1	1	yes	characteristic, complemented
171	#64941	C₂²	1	1	yes	characteristic, complemented
172	#64941	C₂²	1	1	yes	characteristic, complemented
173	#64938	C₂²	1	1	yes	characteristic, complemented
174	#64938	C₂²	1	1	yes	characteristic, complemented
175	#64936	C₂²	1	1	yes	characteristic, complemented
176	#64936	C₂²	1	1	yes	characteristic, complemented
177	#64936	C₂²	1	1	yes	characteristic, complemented
178	#64936	C₂²	1	1	yes	characteristic, complemented
179	#64936	C₂²	1	1	yes	characteristic, complemented
180	#64936	C₂²	1	1	yes	characteristic, complemented
181	#64935	C₂²	1	1	yes	characteristic, complemented
182	#64935	C₂²	1	1	yes	characteristic, complemented
183	#64935	C₂²	1	1	yes	characteristic, complemented
184	#64935	C₂²	1	1	yes	characteristic, complemented
185	#64935	C₂²	1	1	yes	characteristic, complemented
186	#64935	C₂²	1	1	yes	characteristic, complemented
187	#35014	—	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×Dic₅	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₅	—	2	4	no	—
193	C₂²×C₄×D₅	—	4	2	no	—
194	C₂²×C₄×D₅	—	4	2	no	—
195	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
203	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
204	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
205	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
231	#4092	—	2	4	no	—
232	#4090	—	4	2	no	—
233	C₂×#685	C₂³	1	1	yes	characteristic
234	C₂×#685	C₂³	1	1	yes	characteristic
235	C₂×#685	C₂³	1	1	yes	characteristic
236	C₂×#685	C₂³	1	1	yes	characteristic
237	C₂×#685	C₂³	1	1	yes	characteristic
238	C₂×#685	C₂³	1	1	yes	characteristic
239	C₂×#685	C₂³	1	1	yes	characteristic
240	C₂×#685	C₂³	1	1	yes	characteristic
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×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
262	C₂×#683	C₂³	1	1	yes	characteristic
263	C₂×#683	C₂³	1	1	yes	characteristic
264	C₂×#683	C₂³	1	1	yes	characteristic
265	C₂×#683	C₂³	1	1	yes	characteristic
266	C₂×#683	C₂³	1	1	yes	characteristic
267	C₂×#683	C₂³	1	1	yes	characteristic
268	C₂×#683	C₂³	1	1	yes	characteristic
269	C₂×#683	C₂³	1	1	yes	characteristic
270	C₂×#683	C₂³	1	1	yes	characteristic
271	C₂×#683	C₂³	1	1	yes	characteristic
272	C₂×#683	C₂³	1	1	yes	characteristic
273	C₂×#683	C₂³	1	1	yes	characteristic
274	C₂×#683	C₂³	1	1	yes	characteristic
275	C₂×#683	C₂³	1	1	yes	characteristic
276	C₂×#683	C₂³	1	1	yes	characteristic
277	C₂×#683	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×C₄×Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
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	#4043	—	2	4	no	—
301	#4042	—	2	4	no	—
302	#4042	—	2	4	no	—
303	#4042	—	4	2	no	—
304	#4042	—	4	2	no	—
305	#4034	—	4	2	no	—
306	#4033	—	4	2	no	—
307	D₅×C₂²⋊C₄	—	2	4	no	—
308	D₅×C₂²⋊C₄	Q₈	1	8	yes	complemented
309	#4024	—	4	2	no	—
310	#4024	—	4	2	no	—
311	C₄²×D₅	—	4	2	no	—
312	C₄²×D₅	—	4	2	no	—
313	C₄×Dic₁₀	—	4	2	no	—
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	C₅×#95	C₂³	1	1	yes	characteristic
323	C₅×#95	C₂³	1	1	yes	characteristic
324	C₅×#95	C₂³	1	1	yes	characteristic
325	C₅×#95	C₂³	1	1	yes	characteristic
326	C₅×#95	C₂³	1	1	yes	characteristic
327	C₅×#95	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	#2857	—	5	1	no	—
363	#2857	—	5	1	no	—
364	#2848	—	5	1	no	—
365	#2848	—	5	1	no	—
366	#2646	—	5	1	no	—
367	#2646	—	5	1	no	—
368	#2626	—	5	1	no	—
369	#2626	—	5	1	no	—
370	#2589	—	5	1	no	—
371	#2589	—	5	1	no	—
372	#2589	—	5	1	no	—
373	#2589	D₅	1	1	yes	characteristic, complemented
374	#2587	—	5	1	no	—
375	#2587	—	5	1	no	—
376	#2587	—	5	1	no	—
377	#2587	—	5	1	no	—
378	#2497	—	5	1	no	—
379	#2497	—	5	1	no	—
380	#2492	—	5	1	no	—
381	#2492	—	5	1	no	—
382	#2429	—	5	1	no	—
383	#2429	—	5	1	no	—
384	#2423	—	5	1	no	—
385	#2423	—	5	1	no	—
386	#2329	—	5	1	no	—
387	#2329	—	5	1	no	—
388	#2312	—	5	1	no	—
389	#2312	—	5	1	no	—
390	C₄×C₂²⋊Q₈	—	5	1	no	—
391	C₄×C₂²⋊Q₈	—	5	1	no	—
392	C₂×C₄×C₂²⋊C₄	—	5	1	no	—
393	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
394	C₂³×D₅	—	2	2	no	—
395	C₂³×D₅	—	2	2	no	—
396	C₂³×D₅	—	4	1	no	—
397	C₂³×D₅	—	4	1	no	—
398	C₂³×D₅	—	4	1	no	—
399	C₂³×D₅	—	4	1	no	—
400	C₂³×D₅	C₂×Q₈	1	4	yes	—
401	C₂³×D₅	C₂⁴	1	1	yes	characteristic
402	C₂³×D₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₅×Q₈	—	2	2	no	—
404	C₂×C₅×Q₈	—	4	1	no	—
405	C₂×C₅×Q₈	—	4	1	no	—
406	C₂²×C₄×C₅	—	2	2	no	—
407	C₂²×C₄×C₅	—	4	1	no	—
408	C₂²×C₄×C₅	—	4	1	no	—
409	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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×Dic₅	—	2	2	no	—
424	C₂²×Dic₅	—	2	2	no	—
425	C₂²×Dic₅	—	2	2	no	—
426	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
440	C₂×C₄×D₅	—	2	2	no	—
441	C₂×C₄×D₅	—	2	2	no	—
442	C₂×C₄×D₅	—	2	2	no	—
443	C₂×C₄×D₅	—	2	2	no	—
444	C₂×C₄×D₅	—	2	2	no	—
445	C₂×C₄×D₅	—	2	2	no	—
446	C₂×C₄×D₅	—	2	2	no	—
447	C₂×C₄×D₅	—	2	2	no	—
448	C₂×C₄×D₅	—	4	16	no	—
449	C₂×C₄×D₅	—	4	1	no	—
450	C₂×C₄×D₅	—	4	1	no	—
451	C₂×C₄×D₅	—	4	1	no	—
452	C₂×C₄×D₅	—	4	1	no	—
453	C₂×C₄×D₅	—	4	1	no	—
454	C₂×C₄×D₅	—	4	1	no	—
455	C₂×C₄×D₅	—	4	1	no	—
456	C₂×C₄×D₅	—	4	1	no	—
457	C₂×C₄×D₅	—	4	1	no	—
458	C₂×C₄×D₅	—	4	1	no	—
459	C₂×C₄×D₅	—	4	1	no	—
460	C₂×C₄×D₅	—	4	1	no	—
461	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
462	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
463	C₂×C₄×D₅	#41	1	4	yes	—
464	C₂×C₄×D₅	#41	1	4	yes	—
465	C₂×Dic₁₀	—	2	2	no	—
466	C₂×Dic₁₀	—	2	2	no	—
467	C₂×Dic₁₀	—	2	2	no	—
468	C₂×Dic₁₀	—	2	2	no	—
469	C₂×Dic₁₀	—	2	2	no	—
470	C₂×Dic₁₀	—	2	2	no	—
471	C₂×Dic₁₀	—	2	2	no	—
472	C₂×Dic₁₀	—	4	1	no	—
473	C₂×Dic₁₀	—	4	1	no	—
474	C₅×C₄⋊C₄	—	2	2	no	—
475	C₅×C₄⋊C₄	—	2	2	no	—
476	C₅×C₄⋊C₄	—	2	2	no	—
477	C₅×C₄⋊C₄	—	4	1	no	—
478	C₅×C₄⋊C₄	—	4	1	no	—
479	C₅×C₄⋊C₄	—	4	1	no	—
480	C₅×C₄⋊C₄	—	4	1	no	—
481	C₅×C₄⋊C₄	—	4	1	no	—
482	C₅×C₄⋊C₄	—	4	1	no	—
483	C₅×C₂²⋊C₄	—	2	2	no	—
484	C₅×C₂²⋊C₄	—	4	1	no	—
485	C₅×C₂²⋊C₄	—	4	1	no	—
486	C₅×C₂²⋊C₄	—	4	1	no	—
487	C₅×C₂²⋊C₄	—	4	1	no	—
488	C₅×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
489	C₄²×C₅	—	4	1	no	—
490	C₄²×C₅	—	4	1	no	—
491	C₄²×C₅	—	4	1	no	—
492	C₄²×C₅	—	4	1	no	—
493	C₂²⋊Dic₅	—	2	2	no	—
494	C₂²⋊Dic₅	—	4	1	no	—
495	C₂²⋊Dic₅	—	4	1	no	—
496	C₂²⋊Dic₅	—	4	1	no	—
497	C₂²⋊Dic₅	—	4	1	no	—
498	C₂²⋊Dic₅	C₂×Q₈	1	4	yes	—
499	#685	—	2	2	no	—
500	#685	—	2	2	no	—
501	#685	—	2	2	no	—
502	#685	—	2	2	no	—
503	#685	—	2	2	no	—
504	#685	—	2	2	no	—
505	#685	—	2	2	no	—
506	#685	—	2	2	no	—
507	#685	—	2	2	no	—
508	#685	—	2	2	no	—
509	#685	—	4	1	no	—
510	#685	—	4	1	no	—
511	#685	—	4	1	no	—
512	#685	—	4	1	no	—
513	#685	—	4	1	no	—
514	#685	—	4	1	no	—
515	#685	—	4	1	no	—
516	#685	—	4	1	no	—
517	#685	C₂×Q₈	1	4	yes	—
518	#685	C₂×Q₈	1	4	yes	—
519	C₄⋊Dic₅	—	2	2	no	—
520	C₄⋊Dic₅	—	2	2	no	—
521	C₄⋊Dic₅	—	2	2	no	—
522	C₄⋊Dic₅	—	4	1	no	—
523	C₄⋊Dic₅	—	4	1	no	—
524	C₄⋊Dic₅	—	4	1	no	—
525	C₄⋊Dic₅	—	4	1	no	—
526	C₄⋊Dic₅	—	4	1	no	—
527	C₄⋊Dic₅	—	4	1	no	—
528	#683	—	2	2	no	—
529	#683	—	2	2	no	—
530	#683	—	2	2	no	—
531	#683	—	2	2	no	—
532	#683	—	2	2	no	—
533	#683	—	2	2	no	—
534	#683	—	2	2	no	—
535	#683	—	2	2	no	—
536	#683	—	2	2	no	—
537	#683	—	2	2	no	—
538	#683	—	4	1	no	—
539	#683	—	4	1	no	—
540	#683	—	4	1	no	—
541	#683	—	4	1	no	—
542	#683	—	4	1	no	—
543	#683	—	4	1	no	—
544	#683	—	4	1	no	—
545	#683	—	4	1	no	—
546	#683	—	4	1	no	—
547	#683	—	4	1	no	—
548	#683	—	4	1	no	—
549	#683	—	4	1	no	—
550	#683	—	4	1	no	—
551	#683	—	4	1	no	—
552	#683	—	4	1	no	—
553	#683	—	4	1	no	—
554	C₄×Dic₅	—	2	2	no	—
555	C₄×Dic₅	—	2	2	no	—
556	C₄×Dic₅	—	2	2	no	—
557	C₄×Dic₅	—	2	2	no	—
558	C₄×Dic₅	—	4	1	no	—
559	C₄×Dic₅	—	4	1	no	—
560	C₄×Dic₅	—	4	1	no	—
561	C₄×Dic₅	—	4	1	no	—
562	C₄×Dic₅	—	4	1	no	—
563	C₄×Dic₅	—	4	1	no	—
564	C₄×Dic₅	—	4	1	no	—
565	C₄×Dic₅	—	4	1	no	—
566	C₂⁴×C₄	—	5	1	no	—
567	C₂×C₄⋊Q₈	—	5	1	no	—
568	C₂×C₄⋊Q₈	—	5	1	no	—
569	C₂×C₂²⋊Q₈	—	5	1	no	—
570	C₂×C₂²⋊Q₈	—	5	1	no	—
571	C₂×C₂²⋊Q₈	—	5	1	no	—
572	C₂×C₂²⋊Q₈	—	5	1	no	—
573	C₂×C₂²⋊Q₈	—	5	1	no	—
574	C₂×C₂²⋊Q₈	—	5	1	no	—
575	C₂×C₂²⋊Q₈	—	5	1	no	—
576	C₂×C₂²⋊Q₈	—	5	1	no	—
577	C₂×C₄×Q₈	—	5	1	no	—
578	C₂×C₄×Q₈	—	5	1	no	—
579	C₂²×C₂²⋊C₄	—	5	1	no	—
580	C₂²×C₂²⋊C₄	—	5	1	no	—
581	C₂²×C₄²	—	5	1	no	—
582	C₂²×C₄²	—	5	1	no	—
583	#400	—	5	1	no	—
584	#400	—	5	1	no	—
585	#400	—	5	1	no	—
586	#400	—	5	1	no	—
587	#400	—	5	1	no	—
588	#400	—	5	1	no	—
589	#400	—	5	1	no	—
590	#400	C₂×D₅	1	1	yes	characteristic, complemented
591	#399	—	5	1	no	—
592	#399	—	5	1	no	—
593	#399	—	5	1	no	—
594	#399	C₂×D₅	1	1	yes	characteristic
595	#398	—	5	1	no	—
596	#398	—	5	1	no	—
597	#398	—	5	1	no	—
598	#398	—	5	1	no	—
599	#398	—	5	1	no	—
600	#398	—	5	1	no	—
601	#398	—	5	1	no	—
602	#398	C₂×D₅	1	1	yes	characteristic, complemented
603	#396	—	5	1	no	—
604	#396	—	5	1	no	—
605	#396	—	5	1	no	—
606	#396	—	5	1	no	—
607	#396	—	5	1	no	—
608	#396	—	5	1	no	—
609	#396	—	5	1	no	—
610	#396	—	5	1	no	—
611	#393	—	5	1	no	—
612	#393	—	5	1	no	—
613	#393	—	5	1	no	—
614	#393	C₂×D₅	1	1	yes	characteristic
615	#391	—	5	1	no	—
616	#391	—	5	1	no	—
617	#391	—	5	1	no	—
618	#391	—	5	1	no	—
619	#391	—	5	1	no	—
620	#391	—	5	1	no	—
621	#391	—	5	1	no	—
622	#391	—	5	1	no	—
623	#391	C₂×D₅	1	1	yes	characteristic, complemented
624	#391	C₂×D₅	1	1	yes	characteristic, complemented
625	#389	—	5	1	no	—
626	#389	—	5	1	no	—
627	#389	—	5	1	no	—
628	#389	—	5	1	no	—
629	#389	—	5	1	no	—
630	#389	—	5	1	no	—
631	#389	—	5	1	no	—
632	#389	—	5	1	no	—
633	#389	—	5	1	no	—
634	#389	—	5	1	no	—
635	#389	—	5	1	no	—
636	#389	—	5	1	no	—
637	#389	—	5	1	no	—
638	#389	C₂×D₅	1	1	yes	characteristic, complemented
639	#388	—	5	1	no	—
640	#388	—	5	1	no	—
641	#388	—	5	1	no	—
642	#388	—	5	1	no	—
643	#388	—	5	1	no	—
644	#388	—	5	1	no	—
645	#388	—	5	1	no	—
646	#388	—	5	1	no	—
647	#388	—	5	1	no	—
648	#388	—	5	1	no	—
649	#388	—	5	1	no	—
650	#388	—	5	1	no	—
651	#388	—	5	1	no	—
652	#388	—	5	1	no	—
653	#388	C₂×D₅	1	1	yes	characteristic
654	#388	C₂×D₅	1	1	yes	characteristic
655	#387	—	5	1	no	—
656	#387	—	5	1	no	—
657	#387	—	5	1	no	—
658	#387	—	5	1	no	—
659	#387	—	5	1	no	—
660	#387	—	5	1	no	—
661	#387	—	5	1	no	—
662	#387	—	5	1	no	—
663	#387	—	5	1	no	—
664	#387	—	5	1	no	—
665	#387	C₂×D₅	1	1	yes	characteristic, complemented
666	#387	C₂×D₅	1	1	yes	characteristic, complemented
667	#385	—	5	1	no	—
668	#385	—	5	1	no	—
669	#385	—	5	1	no	—
670	#385	—	5	1	no	—
671	#385	—	5	1	no	—
672	#385	—	5	1	no	—
673	#385	—	5	1	no	—
674	#385	—	5	1	no	—
675	#385	—	5	1	no	—
676	#385	—	5	1	no	—
677	#385	—	5	1	no	—
678	#385	—	5	1	no	—
679	#385	—	5	1	no	—
680	#385	—	5	1	no	—
681	#385	C₂×D₅	1	1	yes	characteristic
682	#385	C₂×D₅	1	1	yes	characteristic
683	#384	—	5	1	no	—
684	#384	—	5	1	no	—
685	#380	—	5	1	no	—
686	#380	—	5	1	no	—
687	#380	—	5	1	no	—
688	#380	—	5	1	no	—
689	#380	—	5	1	no	—
690	#380	—	5	1	no	—
691	#380	—	5	1	no	—
692	#380	—	5	1	no	—
693	#380	—	5	1	no	—
694	#380	—	5	1	no	—
695	#380	—	5	1	no	—
696	#380	—	5	1	no	—
697	#379	—	5	1	no	—
698	#379	—	5	1	no	—
699	#379	—	5	1	no	—
700	#379	—	5	1	no	—
701	C₄×C₄⋊C₄	—	5	1	no	—
702	C₄×C₄⋊C₄	—	5	1	no	—
703	C₄×C₄⋊C₄	—	5	1	no	—
704	C₄×C₄⋊C₄	—	5	1	no	—
705	C₄×C₄⋊C₄	—	5	1	no	—
706	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×#95	—	5	1	no	—
720	C₂×#95	—	5	1	no	—
721	C₂³×C₅	—	2	1	no	—
722	C₂³×C₅	—	2	1	no	—
723	C₂³×C₅	—	2	1	no	—
724	C₂³×C₅	—	2	1	no	—
725	C₂³×C₅	—	2	1	no	—
726	C₂³×C₅	—	2	1	no	—
727	C₂³×C₅	C₂²×Q₈	1	2	yes	—
728	C₂³×C₅	C₂⁵	1	1	yes	characteristic
729	C₂²×D₅	—	2	1	no	—
730	C₂²×D₅	—	2	1	no	—
731	C₂²×D₅	—	2	1	no	—
732	C₂²×D₅	—	2	1	no	—
733	C₂²×D₅	—	2	1	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	8	no	—
740	C₂²×D₅	—	4	4	no	—
741	C₂²×D₅	—	4	4	no	—
742	C₂²×D₅	—	4	4	no	—
743	C₂²×D₅	—	4	4	no	—
744	C₂²×D₅	—	4	4	no	—
745	C₂²×D₅	—	4	4	no	—
746	C₂²×D₅	C₂²×Q₈	1	2	yes	—
747	C₂²×D₅	C₂²×Q₈	1	2	yes	—
748	C₂²×D₅	C₂×#41	1	2	yes	—
749	C₂²×D₅	C₂×#41	1	2	yes	—
750	C₅×Q₈	—	8	2	no	—
751	C₂×C₄×C₅	—	2	1	no	—
752	C₂×C₄×C₅	—	2	1	no	—
753	C₂×C₄×C₅	—	2	1	no	—
754	C₂×C₄×C₅	—	2	1	no	—
755	C₂×C₄×C₅	—	2	1	no	—
756	C₂×C₄×C₅	—	2	1	no	—
757	C₂×C₄×C₅	—	2	1	no	—
758	C₂×C₄×C₅	—	2	1	no	—
759	C₂×C₄×C₅	—	2	1	no	—
760	C₂×C₄×C₅	—	2	1	no	—
761	C₂×C₄×C₅	—	2	1	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	1	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	—	4	4	no	—
790	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
791	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
792	C₂×C₄×C₅	C₂×#41	1	2	yes	—
793	C₂×C₄×C₅	C₂×#41	1	2	yes	—
794	C₂×Dic₅	—	2	1	no	—
795	C₂×Dic₅	—	2	1	no	—
796	C₂×Dic₅	—	2	1	no	—
797	C₂×Dic₅	—	2	1	no	—
798	C₂×Dic₅	—	2	1	no	—
799	C₂×Dic₅	—	2	1	no	—
800	C₂×Dic₅	—	2	1	no	—
801	C₂×Dic₅	—	2	1	no	—
802	C₂×Dic₅	—	2	1	no	—
803	C₂×Dic₅	—	2	1	no	—
804	C₂×Dic₅	—	2	1	no	—
805	C₂×Dic₅	—	2	1	no	—
806	C₂×Dic₅	—	2	1	no	—
807	C₂×Dic₅	—	2	1	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	—	4	4	no	—
831	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
832	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
833	C₂×Dic₅	C₂×#41	1	2	yes	—
834	C₂×Dic₅	C₂×#41	1	2	yes	—
835	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
836	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
837	C₄×D₅	—	2	8	no	—
838	C₄×D₅	—	4	4	no	—
839	C₄×D₅	—	4	4	no	—
840	C₄×D₅	—	4	4	no	—
841	C₄×D₅	—	4	4	no	—
842	C₄×D₅	—	4	4	no	—
843	C₄×D₅	—	4	4	no	—
844	C₄×D₅	—	4	4	no	—
845	Dic₁₀	—	4	4	no	—
846	Dic₁₀	—	4	4	no	—
847	Dic₁₀	—	8	2	no	—
848	C₂⁵	—	5	1	no	—
849	C₂²×Q₈	—	5	1	no	—
850	C₂²×Q₈	—	5	1	no	—
851	C₂²×Q₈	—	5	1	no	—
852	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
853	C₂³×C₄	—	5	1	no	—
854	C₂³×C₄	—	5	1	no	—
855	C₂³×C₄	—	5	1	no	—
856	C₂³×C₄	—	5	1	no	—
857	C₂³×C₄	—	5	1	no	—
858	C₂³×C₄	—	5	1	no	—
859	C₂³×C₄	—	5	1	no	—
860	C₂³×C₄	—	5	1	no	—
861	C₂³×C₄	—	5	1	no	—
862	C₂³×C₄	—	10	4	no	—
863	C₂³×C₄	—	20	2	no	—
864	C₂³×C₄	—	20	2	no	—
865	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
866	C₄⋊Q₈	—	20	2	no	—
867	C₄⋊Q₈	—	20	2	no	—
868	C₂²⋊Q₈	—	10	4	no	—
869	C₂²⋊Q₈	—	10	4	no	—
870	C₂²⋊Q₈	—	10	4	no	—
871	C₂²⋊Q₈	—	10	4	no	—
872	C₂²⋊Q₈	—	20	2	no	—
873	C₂²⋊Q₈	—	20	2	no	—
874	C₂²⋊Q₈	—	20	2	no	—
875	C₂²⋊Q₈	—	20	2	no	—
876	C₄×Q₈	—	20	2	no	—
877	C₄×Q₈	—	20	2	no	—
878	C₂×C₄⋊C₄	—	5	1	no	—
879	C₂×C₄⋊C₄	—	5	1	no	—
880	C₂×C₄⋊C₄	—	5	1	no	—
881	C₂×C₄⋊C₄	—	5	1	no	—
882	C₂×C₄⋊C₄	—	5	1	no	—
883	C₂×C₄⋊C₄	—	5	1	no	—
884	C₂×C₄⋊C₄	—	5	1	no	—
885	C₂×C₄⋊C₄	—	5	1	no	—
886	C₂×C₄⋊C₄	—	5	1	no	—
887	C₂×C₄⋊C₄	—	5	1	no	—
888	C₂×C₄⋊C₄	—	5	1	no	—
889	C₂×C₄⋊C₄	—	5	1	no	—
890	C₂×C₄⋊C₄	—	5	1	no	—
891	C₂×C₄⋊C₄	—	5	1	no	—
892	C₂×C₄⋊C₄	—	5	1	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	—	5	1	no	—
911	C₂×C₄⋊C₄	—	5	1	no	—
912	C₂×C₄⋊C₄	—	5	1	no	—
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×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	8	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	—	10	4	no	—
950	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
951	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
952	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
955	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
956	C₂×C₄²	—	5	1	no	—
957	C₂×C₄²	—	5	1	no	—
958	C₂×C₄²	—	5	1	no	—
959	C₂×C₄²	—	5	1	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	—	20	2	no	—
969	C₂×C₄²	—	20	2	no	—
970	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
971	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
973	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
974	#95	—	5	1	no	—
975	#95	—	5	1	no	—
976	#95	—	5	1	no	—
977	#95	—	5	1	no	—
978	#95	—	5	1	no	—
979	#95	—	5	1	no	—
980	#95	—	5	1	no	—
981	#95	—	5	1	no	—
982	#95	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1009	#95	C₂²×D₅	1	1	yes	characteristic
1010	#95	C₂²×D₅	1	1	yes	characteristic
1011	#95	C₂²×D₅	1	1	yes	characteristic
1012	#95	C₂²×D₅	1	1	yes	characteristic
1013	#95	C₂²×D₅	1	1	yes	characteristic
1014	#95	C₂²×D₅	1	1	yes	characteristic
1015	#95	C₂²×D₅	1	1	yes	characteristic
1016	#95	C₂²×D₅	1	1	yes	characteristic
1017	#95	C₂²×D₅	1	1	yes	characteristic
1018	#95	C₂²×D₅	1	1	yes	characteristic
1019	#95	C₂²×D₅	1	1	yes	characteristic
1020	#95	C₂²×D₅	1	1	yes	characteristic
1021	#95	C₂²×D₅	1	1	yes	characteristic
1022	C₂²×C₅	—	2	2	no	—
1023	C₂²×C₅	—	2	2	no	—
1024	C₂²×C₅	—	2	2	no	—
1025	C₂²×C₅	—	4	1	no	—
1026	C₂²×C₅	—	4	1	no	—
1027	C₂²×C₅	—	4	1	no	—
1028	C₂²×C₅	—	4	1	no	—
1029	C₂²×C₅	C₂³×Q₈	1	1	yes	characteristic
1030	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1031	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1032	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1033	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1034	C₂²×C₅	#585	1	1	yes	characteristic
1035	C₂²×C₅	#585	1	1	yes	characteristic
1036	C₂×D₅	—	2	2	no	—
1037	C₂×D₅	—	2	2	no	—
1038	C₂×D₅	—	2	2	no	—
1039	C₂×D₅	—	2	2	no	—
1040	C₂×D₅	—	2	2	no	—
1041	C₂×D₅	—	2	2	no	—
1042	C₂×D₅	—	2	2	no	—
1043	C₂×D₅	—	2	2	no	—
1044	C₂×D₅	—	2	2	no	—
1045	C₂×D₅	—	4	16	no	—
1046	C₂×D₅	—	4	1	no	—
1047	C₂×D₅	—	4	1	no	—
1048	C₂×D₅	—	4	1	no	—
1049	C₂×D₅	—	4	1	no	—
1050	C₂×D₅	#533	1	4	yes	—
1051	C₄×C₅	—	2	2	no	—
1052	C₄×C₅	—	2	2	no	—
1053	C₄×C₅	—	2	2	no	—
1054	C₄×C₅	—	2	2	no	—
1055	C₄×C₅	—	4	1	no	—
1056	C₄×C₅	—	4	1	no	—
1057	C₄×C₅	—	4	1	no	—
1058	C₄×C₅	—	4	1	no	—
1059	C₄×C₅	—	4	1	no	—
1060	C₄×C₅	—	4	1	no	—
1061	C₄×C₅	—	4	1	no	—
1062	C₄×C₅	—	4	1	no	—
1063	C₄×C₅	—	4	1	no	—
1064	C₄×C₅	—	4	1	no	—
1065	Dic₅	—	2	2	no	—
1066	Dic₅	—	2	2	no	—
1067	Dic₅	—	2	2	no	—
1068	Dic₅	—	4	1	no	—
1069	Dic₅	—	4	1	no	—
1070	Dic₅	—	4	1	no	—
1071	Dic₅	—	4	1	no	—
1072	Dic₅	—	4	1	no	—
1073	Dic₅	—	4	1	no	—
1074	Dic₅	—	4	1	no	—
1075	Dic₅	—	4	1	no	—
1076	Dic₅	—	4	1	no	—
1077	Dic₅	—	4	1	no	—
1078	Dic₅	#538	1	4	yes	—
1079	C₂⁴	—	5	1	no	—
1080	C₂⁴	—	5	1	no	—
1081	C₂⁴	—	5	4	no	—
1082	C₂⁴	—	10	2	no	—
1083	C₂⁴	—	10	2	no	—
1084	C₂⁴	—	20	1	no	—
1085	C₂⁴	—	20	1	no	—
1086	C₂⁴	—	20	1	no	—
1087	C₂⁴	—	20	1	no	—
1088	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1089	C₂×Q₈	—	2	2	no	—
1090	C₂×Q₈	—	4	1	no	—
1091	C₂×Q₈	—	4	1	no	—
1092	C₂×Q₈	—	10	2	no	—
1093	C₂×Q₈	—	10	2	no	—
1094	C₂×Q₈	—	10	2	no	—
1095	C₂×Q₈	—	10	2	no	—
1096	C₂×Q₈	—	10	2	no	—
1097	C₂×Q₈	—	10	2	no	—
1098	C₂×Q₈	—	10	2	no	—
1099	C₂×Q₈	—	20	1	no	—
1100	C₂×Q₈	—	20	1	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	4	1	no	—
1103	C₂²×C₄	—	4	1	no	—
1104	C₂²×C₄	—	5	1	no	—
1105	C₂²×C₄	—	5	1	no	—
1106	C₂²×C₄	—	5	1	no	—
1107	C₂²×C₄	—	5	1	no	—
1108	C₂²×C₄	—	5	4	no	—
1109	C₂²×C₄	—	5	4	no	—
1110	C₂²×C₄	—	5	4	no	—
1111	C₂²×C₄	—	5	4	no	—
1112	C₂²×C₄	—	5	1	no	—
1113	C₂²×C₄	—	5	1	no	—
1114	C₂²×C₄	—	5	1	no	—
1115	C₂²×C₄	—	5	1	no	—
1116	C₂²×C₄	—	5	1	no	—
1117	C₂²×C₄	—	5	1	no	—
1118	C₂²×C₄	—	5	1	no	—
1119	C₂²×C₄	—	5	1	no	—
1120	C₂²×C₄	—	5	1	no	—
1121	C₂²×C₄	—	5	1	no	—
1122	C₂²×C₄	—	10	2	no	—
1123	C₂²×C₄	—	10	2	no	—
1124	C₂²×C₄	—	10	2	no	—
1125	C₂²×C₄	—	10	2	no	—
1126	C₂²×C₄	—	10	2	no	—
1127	C₂²×C₄	—	10	2	no	—
1128	C₂²×C₄	—	10	2	no	—
1129	C₂²×C₄	—	10	2	no	—
1130	C₂²×C₄	—	10	2	no	—
1131	C₂²×C₄	—	10	2	no	—
1132	C₂²×C₄	—	10	2	no	—
1133	C₂²×C₄	—	20	1	no	—
1134	C₂²×C₄	—	20	1	no	—
1135	C₂²×C₄	—	20	1	no	—
1136	C₂²×C₄	—	20	1	no	—
1137	C₂²×C₄	—	20	1	no	—
1138	C₂²×C₄	—	20	1	no	—
1139	C₂²×C₄	—	20	1	no	—
1140	C₂²×C₄	—	20	1	no	—
1141	C₂²×C₄	—	20	1	no	—
1142	C₂²×C₄	—	20	1	no	—
1143	C₂²×C₄	—	20	1	no	—
1144	C₂²×C₄	—	20	1	no	—
1145	C₂²×C₄	—	20	16	no	—
1146	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	10	2	no	—
1170	C₄⋊C₄	—	10	2	no	—
1171	C₄⋊C₄	—	10	2	no	—
1172	C₄⋊C₄	—	10	2	no	—
1173	C₄⋊C₄	—	10	2	no	—
1174	C₄⋊C₄	—	10	2	no	—
1175	C₄⋊C₄	—	10	2	no	—
1176	C₄⋊C₄	—	10	2	no	—
1177	C₄⋊C₄	—	10	2	no	—
1178	C₄⋊C₄	—	10	2	no	—
1179	C₄⋊C₄	—	10	2	no	—
1180	C₄⋊C₄	—	10	2	no	—
1181	C₄⋊C₄	—	10	2	no	—
1182	C₄⋊C₄	—	20	1	no	—
1183	C₄⋊C₄	—	20	1	no	—
1184	C₄⋊C₄	—	20	1	no	—
1185	C₄⋊C₄	—	20	1	no	—
1186	C₄⋊C₄	—	20	1	no	—
1187	C₄⋊C₄	—	20	1	no	—
1188	C₄⋊C₄	—	20	1	no	—
1189	C₄⋊C₄	—	20	1	no	—
1190	C₄⋊C₄	—	20	1	no	—
1191	C₄⋊C₄	—	20	1	no	—
1192	C₄⋊C₄	—	20	1	no	—
1193	C₄⋊C₄	—	20	1	no	—
1194	C₄⋊C₄	—	20	1	no	—
1195	C₄⋊C₄	—	20	1	no	—
1196	C₄⋊C₄	—	20	1	no	—
1197	C₄⋊C₄	—	20	1	no	—
1198	C₄⋊C₄	—	20	1	no	—
1199	C₄⋊C₄	—	20	1	no	—
1200	C₄⋊C₄	—	20	1	no	—
1201	C₄⋊C₄	—	20	1	no	—
1202	C₄⋊C₄	—	20	1	no	—
1203	C₄⋊C₄	—	20	1	no	—
1204	C₂²⋊C₄	—	2	2	no	—
1205	C₂²⋊C₄	—	4	1	no	—
1206	C₂²⋊C₄	—	4	1	no	—
1207	C₂²⋊C₄	—	4	1	no	—
1208	C₂²⋊C₄	—	4	1	no	—
1209	C₂²⋊C₄	—	5	4	no	—
1210	C₂²⋊C₄	—	5	4	no	—
1211	C₂²⋊C₄	—	5	4	no	—
1212	C₂²⋊C₄	—	10	2	no	—
1213	C₂²⋊C₄	—	10	2	no	—
1214	C₂²⋊C₄	—	10	2	no	—
1215	C₂²⋊C₄	—	10	2	no	—
1216	C₂²⋊C₄	—	10	2	no	—
1217	C₂²⋊C₄	—	10	2	no	—
1218	C₂²⋊C₄	—	10	2	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	—	20	1	no	—
1224	C₂²⋊C₄	—	20	1	no	—
1225	C₂²⋊C₄	—	20	1	no	—
1226	C₂²⋊C₄	—	20	1	no	—
1227	C₂²⋊C₄	—	20	1	no	—
1228	C₂²⋊C₄	—	20	1	no	—
1229	C₂²⋊C₄	—	20	1	no	—
1230	C₂²⋊C₄	—	20	1	no	—
1231	C₂²⋊C₄	—	20	1	no	—
1232	C₂²⋊C₄	—	20	1	no	—
1233	C₂²⋊C₄	—	20	1	no	—
1234	C₂²⋊C₄	—	20	1	no	—
1235	C₂²⋊C₄	Q₈×D₅	1	4	yes	—
1236	C₄²	—	4	1	no	—
1237	C₄²	—	4	1	no	—
1238	C₄²	—	4	1	no	—
1239	C₄²	—	4	1	no	—
1240	C₄²	—	10	2	no	—
1241	C₄²	—	10	2	no	—
1242	C₄²	—	10	2	no	—
1243	C₄²	—	10	2	no	—
1244	C₄²	—	20	1	no	—
1245	C₄²	—	20	1	no	—
1246	C₄²	—	20	1	no	—
1247	C₄²	—	20	1	no	—
1248	C₄²	—	20	1	no	—
1249	C₄²	—	20	1	no	—
1250	C₄²	—	20	1	no	—
1251	C₄²	—	20	1	no	—
1252	C₂×C₅	—	4	2	no	—
1253	C₂×C₅	C₂×#533	1	1	yes	characteristic
1254	C₂×C₅	C₂×#538	1	1	yes	characteristic
1255	C₂×C₅	#3455	1	1	yes	characteristic
1256	C₂×C₅	#3501	1	1	yes	characteristic
1257	C₂×C₅	#3501	1	1	yes	characteristic
1258	C₂×C₅	#3505	1	1	yes	characteristic
1259	C₂×C₅	#3506	1	1	yes	characteristic
1260	D₅	—	2	4	no	—
1261	D₅	—	4	2	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	5	2	no	—
1269	C₂³	—	5	2	no	—
1270	C₂³	—	5	2	no	—
1271	C₂³	—	5	2	no	—
1272	C₂³	—	10	8	no	—
1273	C₂³	—	10	1	no	—
1274	C₂³	—	10	1	no	—
1275	C₂³	—	10	1	no	—
1276	C₂³	—	10	1	no	—
1277	C₂³	—	10	1	no	—
1278	C₂³	—	10	1	no	—
1279	C₂³	—	10	1	no	—
1280	C₂³	—	10	1	no	—
1281	C₂³	—	10	1	no	—
1282	C₂³	—	10	1	no	—
1283	C₂³	—	20	4	no	—
1284	C₂³	—	20	4	no	—
1285	C₂³	—	20	4	no	—
1286	C₂³	—	20	4	no	—
1287	C₂³	—	20	4	no	—
1288	C₂³	—	20	4	no	—
1289	C₂³	C₂×Q₈×D₅	1	2	yes	—
1290	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1291	Q₈	—	8	2	no	—
1292	Q₈	—	20	4	no	—
1293	Q₈	—	20	4	no	—
1294	Q₈	—	40	2	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	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	1	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	5	2	no	—
1335	C₂×C₄	—	5	2	no	—
1336	C₂×C₄	—	5	2	no	—
1337	C₂×C₄	—	5	2	no	—
1338	C₂×C₄	—	5	2	no	—
1339	C₂×C₄	—	5	2	no	—
1340	C₂×C₄	—	10	8	no	—
1341	C₂×C₄	—	10	1	no	—
1342	C₂×C₄	—	10	1	no	—
1343	C₂×C₄	—	10	1	no	—
1344	C₂×C₄	—	10	1	no	—
1345	C₂×C₄	—	10	1	no	—
1346	C₂×C₄	—	10	1	no	—
1347	C₂×C₄	—	10	1	no	—
1348	C₂×C₄	—	10	1	no	—
1349	C₂×C₄	—	10	1	no	—
1350	C₂×C₄	—	10	1	no	—
1351	C₂×C₄	—	10	1	no	—
1352	C₂×C₄	—	10	1	no	—
1353	C₂×C₄	—	10	1	no	—
1354	C₂×C₄	—	10	1	no	—
1355	C₂×C₄	—	10	1	no	—
1356	C₂×C₄	—	10	1	no	—
1357	C₂×C₄	—	10	1	no	—
1358	C₂×C₄	—	10	1	no	—
1359	C₂×C₄	—	10	1	no	—
1360	C₂×C₄	—	10	1	no	—
1361	C₂×C₄	—	10	1	no	—
1362	C₂×C₄	—	10	1	no	—
1363	C₂×C₄	—	10	1	no	—
1364	C₂×C₄	—	10	1	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	1	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	—	20	4	no	—
1378	C₂×C₄	—	20	4	no	—
1379	C₂×C₄	—	20	4	no	—
1380	C₂×C₄	—	20	4	no	—
1381	C₂×C₄	—	20	4	no	—
1382	C₂×C₄	—	20	4	no	—
1383	C₂×C₄	—	20	4	no	—
1384	C₂×C₄	—	20	4	no	—
1385	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1386	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1387	C₂×C₄	D₅×#41	1	2	yes	—
1388	C₂×C₄	D₅×#41	1	2	yes	—
1389	C₅	#35014	1	1	yes	characteristic, complemented, Sylow
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	5	4	no	—
1398	C₂²	—	10	2	no	—
1399	C₂²	—	10	2	no	—
1400	C₂²	—	10	2	no	—
1401	C₂²	—	10	2	no	—
1402	C₂²	—	10	2	no	—
1403	C₂²	—	10	2	no	—
1404	C₂²	—	10	2	no	—
1405	C₂²	—	10	2	no	—
1406	C₂²	—	10	2	no	—
1407	C₂²	—	20	16	no	—
1408	C₂²	—	20	1	no	—
1409	C₂²	—	20	1	no	—
1410	C₂²	—	20	1	no	—
1411	C₂²	—	20	1	no	—
1412	C₂²	C₂²×Q₈×D₅	1	1	yes	characteristic
1413	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1414	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1415	C₂²	#66283	1	1	yes	characteristic
1416	C₂²	#66283	1	1	yes	characteristic
1417	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1418	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	5	4	no	—
1434	C₄	—	10	2	no	—
1435	C₄	—	10	2	no	—
1436	C₄	—	10	2	no	—
1437	C₄	—	20	1	no	—
1438	C₄	—	20	1	no	—
1439	C₄	—	20	1	no	—
1440	C₄	—	20	1	no	—
1441	C₄	—	20	1	no	—
1442	C₄	—	20	1	no	—
1443	C₄	—	20	1	no	—
1444	C₄	—	20	1	no	—
1445	C₄	—	20	1	no	—
1446	C₄	—	20	1	no	—
1447	C₂	—	4	2	no	—
1448	C₂	—	10	4	no	—
1449	C₂	—	20	2	no	—
1450	C₂	#10618047	1	1	yes	characteristic
1451	C₂	D₅×#533	1	1	yes	characteristic
1452	C₂	D₅×#538	1	1	yes	characteristic
1453	C₂	#10618718	1	1	yes	characteristic
1454	C₂	#10618850	1	1	yes	characteristic
1455	C₂	#10618850	1	1	yes	characteristic
1456	C₂	#10618964	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2589	C₂
prime radical	C₂⁴×D₅	C₂³
hypercenter	#2589	D₅
hypocenter	C₅	#35014
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2589

Complements

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

N	H ≅ G/N	type
1. C₅×#2589	C₂	semidirect
2. #10610094	C₂	semidirect
3. #10609882	C₂	semidirect
5. #10609751	C₂	semidirect
6. #10609696	C₂	semidirect
7. #10609475	C₂	semidirect
9. #10608524	C₂	semidirect
10. #10608395	C₂	semidirect
11. #10608343	C₂	semidirect
12. #10608285	C₂	semidirect
13. #10608248	C₂	semidirect
14. #10608019	C₂	semidirect
15. #10607820	C₂	semidirect
18. #10607281	C₂	semidirect
19. #10607231	C₂	semidirect
20. #10607031	C₂	semidirect
21. #10606831	C₂	semidirect
22. #10606713	C₂	semidirect
23. #10606672	C₂	semidirect
26. #10606222	C₂	semidirect
27. #10606221	C₂	semidirect
28. #10605542	C₂	semidirect
29. C₄×#4042	C₂	semidirect
31. #10605280	C₂	semidirect
34. C₂×#4090	C₂²	semidirect
40. C₂×#4034	C₂²	semidirect
41. C₂×#4033	C₂²	semidirect
48. C₂×C₄×Dic₁₀	C₂²	semidirect
49. C₅×#400	C₂²	semidirect
51. C₅×#398	C₂²	semidirect
53. C₅×#391	C₂²	semidirect
54. C₅×#391	C₂²	semidirect
55. C₅×#389	C₂²	semidirect
58. C₅×#387	C₂²	semidirect
59. C₅×#387	C₂²	semidirect
62. C₄×C₅×C₄⋊C₄	C₂²	semidirect
65. #65519	C₂²	semidirect
82. #65275	C₂²	semidirect
83. #65273	C₂²	semidirect
84. #65273	C₂²	semidirect
85. #65272	C₂²	semidirect
86. #65271	C₂²	semidirect
87. #65270	C₂²	semidirect
88. #65270	C₂²	semidirect
89. #65269	C₂²	semidirect
90. #65265	C₂²	semidirect
91. #65265	C₂²	semidirect
92. C₄⋊C₄×Dic₅	C₂²	semidirect
93. #65262	C₂²	semidirect
94. #65261	C₂²	semidirect
95. #65261	C₂²	semidirect
96. #65261	C₂²	semidirect
97. #65261	C₂²	semidirect
124. #65222	C₂²	semidirect
125. #65222	C₂²	semidirect
126. C₄×#683	C₂²	semidirect
127. C₄×#683	C₂²	semidirect
128. #65218	C₂²	semidirect
129. #65217	C₂²	semidirect
130. #65217	C₂²	semidirect
159. #64950	C₂²	semidirect
160. #64949	C₂²	semidirect
161. #64949	C₂²	semidirect
162. #64948	C₂²	semidirect
163. #64947	C₂²	semidirect
164. #64947	C₂²	semidirect
165. #64946	C₂²	semidirect
166. #64946	C₂²	semidirect
167. #64943	C₂²	semidirect
168. #64943	C₂²	semidirect
169. #64942	C₂²	semidirect
170. #64942	C₂²	semidirect
171. #64941	C₂²	semidirect
172. #64941	C₂²	semidirect
173. #64938	C₂²	semidirect
174. #64938	C₂²	semidirect
175. #64936	C₂²	semidirect
176. #64936	C₂²	semidirect
177. #64936	C₂²	semidirect
178. #64936	C₂²	semidirect
179. #64936	C₂²	semidirect
180. #64936	C₂²	semidirect
181. #64935	C₂²	semidirect
182. #64935	C₂²	semidirect
183. #64935	C₂²	semidirect
184. #64935	C₂²	semidirect
185. #64935	C₂²	semidirect
186. #64935	C₂²	semidirect
308. D₅×C₂²⋊C₄	Q₈	semidirect
373. #2589	D₅	semidirect
590. #400	C₂×D₅	semidirect
602. #398	C₂×D₅	semidirect
623. #391	C₂×D₅	semidirect
624. #391	C₂×D₅	semidirect
638. #389	C₂×D₅	semidirect
665. #387	C₂×D₅	semidirect
666. #387	C₂×D₅	semidirect
706. C₄×C₄⋊C₄	C₂×D₅	semidirect
1389. C₅	#35014	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2589	2
#10610094	2
#10609882	2
#10609841	2
#10609751	2
#10609696	2
#10609475	2
#10608602	2
#10608524	2
#10608395	2
#10608343	2
#10608285	2
#10608248	2
#10608019	2
#10607820	2
#10607556	2
#10607281	2
#10607231	2
#10607031	2
#10606831	2
#10606713	2
#10606672	2
#10606386	2
#10606222	2
#10606221	2
#10605542	2
C₄×#4042	2
C₄×D₅×C₂²⋊C₄	2
#10605280	2
#35014	5