Subgroups — #12272035

Order 1280.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2473	C₂	1	1	yes	maximal, characteristic, complemented
2	#10614803	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614763	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#65278	C₂	1	1	yes	maximal, characteristic
5	#10613905	C₂	1	1	yes	maximal, characteristic, complemented
6	#10610094	C₂	1	1	yes	maximal, characteristic, complemented
7	#10610084	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609696	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609696	C₂	1	1	yes	maximal, characteristic, complemented
10	#10609696	C₂	1	1	yes	maximal, characteristic, complemented
11	#10609687	C₂	1	1	yes	maximal, characteristic, complemented
12	#10609489	C₂	1	1	yes	maximal, characteristic, complemented
13	#10609487	C₂	1	1	yes	maximal, characteristic, complemented
14	#10608016	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607754	C₂	1	1	yes	maximal, characteristic, complemented
16	#10607176	C₂	1	1	yes	maximal, characteristic, complemented
17	#10607176	C₂	1	1	yes	maximal, characteristic, complemented
18	#10607072	C₂	1	1	yes	maximal, characteristic, complemented
19	#10607071	C₂	1	1	yes	maximal, characteristic, complemented
20	#10606322	C₂	1	1	yes	maximal, characteristic
21	#10606322	C₂	1	1	yes	maximal, characteristic
22	#10606322	C₂	1	1	yes	maximal, characteristic
23	D₅×#385	C₂	1	1	yes	maximal, characteristic
24	#10606195	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606194	C₂	1	1	yes	maximal, characteristic, complemented
26	#10606193	C₂	1	1	yes	maximal, characteristic, complemented
27	#10606174	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605736	C₂	1	1	yes	maximal, characteristic
29	#10605639	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
31	#10605251	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
33	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂²×#685	C₂²	1	1	yes	characteristic
36	C₂²×#685	C₂²	1	1	yes	characteristic
37	C₂²×#683	C₂²	1	1	yes	characteristic
38	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
47	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
49	C₅×#400	C₂²	1	1	yes	characteristic, complemented
50	C₅×#398	C₂²	1	1	yes	characteristic, complemented
51	C₅×#398	C₂²	1	1	yes	characteristic, complemented
52	C₅×#398	C₂²	1	1	yes	characteristic, complemented
53	C₅×#389	C₂²	1	1	yes	characteristic, complemented
54	C₅×#387	C₂²	1	1	yes	characteristic, complemented
55	C₅×#387	C₂²	1	1	yes	characteristic, complemented
56	C₅×#385	C₂²	1	1	yes	characteristic
57	C₅×#385	C₂²	1	1	yes	characteristic
58	C₅×#385	C₂²	1	1	yes	characteristic
59	C₅×#385	C₂²	1	1	yes	characteristic
60	C₅×#380	C₂²	1	1	yes	characteristic
61	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
62	#65501	C₂²	1	1	yes	characteristic
63	#65499	C₂²	1	1	yes	characteristic
64	#65499	C₂²	1	1	yes	characteristic
65	#65499	C₂²	1	1	yes	characteristic
66	#65499	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
68	C₂×#3963	C₂²	1	1	yes	characteristic
69	C₂×#3963	C₂²	1	1	yes	characteristic
70	#65278	C₂²	1	1	yes	characteristic
71	#65278	C₂²	1	1	yes	characteristic
72	#65278	C₂²	1	1	yes	characteristic
73	#65278	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	#65278	C₂²	1	1	yes	characteristic
81	#65278	C₂²	1	1	yes	characteristic
82	#65278	C₂²	1	1	yes	characteristic
83	#65278	C₂²	1	1	yes	characteristic
84	#65278	C₂²	1	1	yes	characteristic
85	#65278	C₂²	1	1	yes	characteristic
86	#65278	C₂²	1	1	yes	characteristic
87	#65278	C₂²	1	1	yes	characteristic
88	#65278	C₂²	1	1	yes	characteristic
89	#65278	C₂²	1	1	yes	characteristic
90	#65276	C₂²	1	1	yes	characteristic
91	#65276	C₂²	1	1	yes	characteristic
92	#65276	C₂²	1	1	yes	characteristic
93	#65276	C₂²	1	1	yes	characteristic
94	#65276	C₂²	1	1	yes	characteristic
95	#65276	C₂²	1	1	yes	characteristic
96	#65275	C₂²	1	1	yes	characteristic, complemented
97	#65273	C₂²	1	1	yes	characteristic, complemented
98	#65273	C₂²	1	1	yes	characteristic, complemented
99	#65273	C₂²	1	1	yes	characteristic, complemented
100	#65273	C₂²	1	1	yes	characteristic, complemented
101	#65272	C₂²	1	1	yes	characteristic, complemented
102	#65272	C₂²	1	1	yes	characteristic, complemented
103	#65272	C₂²	1	1	yes	characteristic, complemented
104	#65271	C₂²	1	1	yes	characteristic, complemented
105	#65271	C₂²	1	1	yes	characteristic, complemented
106	#65271	C₂²	1	1	yes	characteristic, complemented
107	#65270	C₂²	1	1	yes	characteristic, complemented
108	#65270	C₂²	1	1	yes	characteristic, complemented
109	#65269	C₂²	1	1	yes	characteristic, complemented
110	#65269	C₂²	1	1	yes	characteristic, complemented
111	#65269	C₂²	1	1	yes	characteristic, complemented
112	#65267	C₂²	1	1	yes	characteristic, complemented
113	#65267	C₂²	1	1	yes	characteristic, complemented
114	#65267	C₂²	1	1	yes	characteristic, complemented
115	#65267	C₂²	1	1	yes	characteristic, complemented
116	#65266	C₂²	1	1	yes	characteristic, complemented
117	#65262	C₂²	1	1	yes	characteristic, complemented
118	#65262	C₂²	1	1	yes	characteristic, complemented
119	#65261	C₂²	1	1	yes	characteristic, complemented
120	#65261	C₂²	1	1	yes	characteristic, complemented
121	#65239	C₂²	1	1	yes	characteristic
122	#65239	C₂²	1	1	yes	characteristic
123	#65239	C₂²	1	1	yes	characteristic
124	#65239	C₂²	1	1	yes	characteristic
125	#65235	C₂²	1	1	yes	characteristic
126	#65235	C₂²	1	1	yes	characteristic
127	#65235	C₂²	1	1	yes	characteristic
128	#65235	C₂²	1	1	yes	characteristic
129	#65231	C₂²	1	1	yes	characteristic
130	#65231	C₂²	1	1	yes	characteristic
131	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
132	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
133	C₄×#685	C₂²	1	1	yes	characteristic
134	C₄×#685	C₂²	1	1	yes	characteristic
135	#65225	C₂²	1	1	yes	characteristic, complemented
136	#65222	C₂²	1	1	yes	characteristic, complemented
137	#65222	C₂²	1	1	yes	characteristic, complemented
138	#65217	C₂²	1	1	yes	characteristic, complemented
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	#64957	C₂²	1	1	yes	characteristic
146	#64957	C₂²	1	1	yes	characteristic
147	#64957	C₂²	1	1	yes	characteristic
148	#64957	C₂²	1	1	yes	characteristic
149	#64957	C₂²	1	1	yes	characteristic
150	#64957	C₂²	1	1	yes	characteristic
151	#64956	C₂²	1	1	yes	characteristic
152	#64956	C₂²	1	1	yes	characteristic
153	#64956	C₂²	1	1	yes	characteristic
154	#64956	C₂²	1	1	yes	characteristic
155	#64956	C₂²	1	1	yes	characteristic
156	#64956	C₂²	1	1	yes	characteristic
157	#64955	C₂²	1	1	yes	characteristic
158	#64955	C₂²	1	1	yes	characteristic
159	D₅×#95	C₂²	1	1	yes	characteristic
160	D₅×#95	C₂²	1	1	yes	characteristic
161	D₅×#95	C₂²	1	1	yes	characteristic
162	D₅×#95	C₂²	1	1	yes	characteristic
163	#64950	C₂²	1	1	yes	characteristic, complemented
164	#64949	C₂²	1	1	yes	characteristic, complemented
165	#64949	C₂²	1	1	yes	characteristic, complemented
166	#64949	C₂²	1	1	yes	characteristic, complemented
167	#64949	C₂²	1	1	yes	characteristic, complemented
168	#64949	C₂²	1	1	yes	characteristic, complemented
169	#64949	C₂²	1	1	yes	characteristic, complemented
170	#64948	C₂²	1	1	yes	characteristic, complemented
171	#64947	C₂²	1	1	yes	characteristic, complemented
172	#64947	C₂²	1	1	yes	characteristic, complemented
173	#64947	C₂²	1	1	yes	characteristic, complemented
174	#64947	C₂²	1	1	yes	characteristic, complemented
175	#64946	C₂²	1	1	yes	characteristic, complemented
176	#64946	C₂²	1	1	yes	characteristic, complemented
177	#64944	C₂²	1	1	yes	characteristic, complemented
178	#64944	C₂²	1	1	yes	characteristic, complemented
179	#64943	C₂²	1	1	yes	characteristic, complemented
180	#64943	C₂²	1	1	yes	characteristic, complemented
181	#64941	C₂²	1	1	yes	characteristic, complemented
182	#64941	C₂²	1	1	yes	characteristic, complemented
183	#64939	C₂²	1	1	yes	characteristic, complemented
184	#64939	C₂²	1	1	yes	characteristic, complemented
185	#64936	C₂²	1	1	yes	characteristic, complemented
186	#64936	C₂²	1	1	yes	characteristic, complemented
187	#34994	—	5	1	no	maximal, Sylow
188	C₂⁴×D₅	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₅	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×Dic₅	C₂³	1	1	yes	characteristic
193	C₂³×Dic₅	C₂³	1	1	yes	characteristic
194	C₂³×Dic₅	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₅	—	2	4	no	—
196	C₂²×C₄×D₅	—	4	2	no	—
197	C₂²×C₄×D₅	—	4	2	no	—
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×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	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₅×#125	—	4	2	no	—
211	C₂×C₅×C₄⋊C₄	—	4	2	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₅×C₂²⋊C₄	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×C₂²⋊Dic₅	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	C₂×#685	—	2	4	no	—
237	C₂×#685	—	2	4	no	—
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×#685	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×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
264	C₂×#683	—	4	2	no	—
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×#683	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	D₅×C₄⋊C₄	—	4	2	no	—
296	D₅×C₄⋊C₄	—	4	2	no	—
297	#4036	—	4	2	no	—
298	#4035	—	4	2	no	—
299	#4035	—	4	2	no	—
300	D₅×C₂²⋊C₄	—	2	4	no	—
301	D₅×C₂²⋊C₄	—	2	4	no	—
302	D₅×C₂²⋊C₄	—	2	4	no	—
303	D₅×C₂²⋊C₄	Q₈	1	8	yes	—
304	C₄²×D₅	—	4	2	no	—
305	C₄²×D₅	—	4	2	no	—
306	C₅×#95	C₂³	1	1	yes	characteristic
307	C₅×#95	C₂³	1	1	yes	characteristic
308	C₅×#95	C₂³	1	1	yes	characteristic
309	C₅×#95	C₂³	1	1	yes	characteristic
310	C₅×#95	C₂³	1	1	yes	characteristic
311	C₅×#95	C₂³	1	1	yes	characteristic
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	#3963	C₂³	1	1	yes	characteristic
319	#3963	C₂³	1	1	yes	characteristic
320	#3963	C₂³	1	1	yes	characteristic
321	#3963	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	#2851	—	5	1	no	—
363	#2851	—	5	1	no	—
364	#2851	—	5	1	no	—
365	#2851	—	5	1	no	—
366	#2646	—	5	1	no	—
367	#2646	—	5	1	no	—
368	#2646	—	5	1	no	—
369	#2646	—	5	1	no	—
370	#2505	—	5	1	no	—
371	#2505	—	5	1	no	—
372	#2505	—	5	1	no	—
373	#2505	—	5	1	no	—
374	#2505	—	5	1	no	—
375	#2505	—	5	1	no	—
376	#2505	—	5	1	no	—
377	#2505	—	5	1	no	—
378	#2473	—	5	1	no	—
379	#2473	—	5	1	no	—
380	#2473	—	5	1	no	—
381	#2473	—	5	1	no	—
382	#2473	—	5	1	no	—
383	#2473	—	5	1	no	—
384	#2473	—	5	1	no	—
385	#2473	D₅	1	1	yes	characteristic, complemented
386	#2315	—	5	1	no	—
387	#2315	—	5	1	no	—
388	#2315	—	5	1	no	—
389	#2315	—	5	1	no	—
390	C₂×#385	—	5	1	no	—
391	C₂×#385	—	5	1	no	—
392	C₂×C₄×C₂²⋊C₄	—	5	1	no	—
393	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
394	C₂³×D₅	—	4	1	no	—
395	C₂³×D₅	—	4	1	no	—
396	C₂³×D₅	—	4	1	no	—
397	C₂³×D₅	—	4	1	no	—
398	C₂³×D₅	C₂×Q₈	1	4	yes	—
399	C₂³×D₅	#41	1	4	yes	—
400	C₂³×D₅	#41	1	4	yes	—
401	C₂³×D₅	C₂⁴	1	1	yes	characteristic
402	C₂³×D₅	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅	—	2	2	no	—
404	C₂²×C₄×C₅	—	2	2	no	—
405	C₂²×C₄×C₅	—	2	2	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	—	4	1	no	—
410	C₂²×C₄×C₅	—	4	1	no	—
411	C₂²×C₄×C₅	—	4	1	no	—
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×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×Dic₅	—	2	2	no	—
427	C₂²×Dic₅	—	2	2	no	—
428	C₂²×Dic₅	—	2	2	no	—
429	C₂²×Dic₅	—	2	2	no	—
430	C₂²×Dic₅	—	4	1	no	—
431	C₂²×Dic₅	—	4	1	no	—
432	C₂²×Dic₅	—	4	1	no	—
433	C₂²×Dic₅	—	4	1	no	—
434	C₂²×Dic₅	—	4	1	no	—
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	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₅	—	2	2	no	—
450	C₂×C₄×D₅	—	2	2	no	—
451	C₂×C₄×D₅	—	2	2	no	—
452	C₂×C₄×D₅	—	2	2	no	—
453	C₂×C₄×D₅	—	2	2	no	—
454	C₂×C₄×D₅	—	2	2	no	—
455	C₂×C₄×D₅	—	2	2	no	—
456	C₂×C₄×D₅	—	2	2	no	—
457	C₂×C₄×D₅	—	2	2	no	—
458	C₂×C₄×D₅	—	2	2	no	—
459	C₂×C₄×D₅	—	2	2	no	—
460	C₂×C₄×D₅	—	2	2	no	—
461	C₂×C₄×D₅	—	2	2	no	—
462	C₂×C₄×D₅	—	2	2	no	—
463	C₂×C₄×D₅	—	4	16	no	—
464	C₂×C₄×D₅	—	4	1	no	—
465	C₂×C₄×D₅	—	4	1	no	—
466	C₂×C₄×D₅	—	4	1	no	—
467	C₂×C₄×D₅	—	4	1	no	—
468	C₂×C₄×D₅	—	4	1	no	—
469	C₂×C₄×D₅	—	4	1	no	—
470	C₂×C₄×D₅	—	4	1	no	—
471	C₂×C₄×D₅	—	4	1	no	—
472	C₂×C₄×D₅	—	4	1	no	—
473	C₂×C₄×D₅	—	4	1	no	—
474	C₂×C₄×D₅	—	4	1	no	—
475	C₂×C₄×D₅	—	4	1	no	—
476	C₂×C₄×D₅	—	4	1	no	—
477	C₂×C₄×D₅	—	4	1	no	—
478	C₂×C₄×D₅	—	4	1	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	C₂×Q₈	1	4	yes	—
485	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
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	—	4	1	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×C₄⋊C₄	—	4	1	no	—
495	C₅×C₄⋊C₄	—	4	1	no	—
496	C₅×C₄⋊C₄	—	4	1	no	—
497	C₅×C₄⋊C₄	—	4	1	no	—
498	C₅×C₄⋊C₄	—	4	1	no	—
499	C₅×C₄⋊C₄	—	4	1	no	—
500	C₅×C₂²⋊C₄	—	2	2	no	—
501	C₅×C₂²⋊C₄	—	2	2	no	—
502	C₅×C₂²⋊C₄	—	2	2	no	—
503	C₅×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
504	C₄²×C₅	—	2	2	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	C₂²⋊Dic₅	C₂×Q₈	1	4	yes	—
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	C₂×Q₈	1	4	yes	—
525	#685	C₂×Q₈	1	4	yes	—
526	C₄⋊Dic₅	—	2	2	no	—
527	C₄⋊Dic₅	—	4	1	no	—
528	C₄⋊Dic₅	—	4	1	no	—
529	C₄⋊Dic₅	—	4	1	no	—
530	C₄⋊Dic₅	—	4	1	no	—
531	C₄⋊Dic₅	—	4	1	no	—
532	C₄⋊Dic₅	—	4	1	no	—
533	C₄⋊Dic₅	—	4	1	no	—
534	C₄⋊Dic₅	—	4	1	no	—
535	C₄⋊Dic₅	—	4	1	no	—
536	#683	—	2	2	no	—
537	#683	—	2	2	no	—
538	#683	—	2	2	no	—
539	#683	—	2	2	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	#683	—	4	1	no	—
555	#683	—	4	1	no	—
556	#683	—	4	1	no	—
557	#683	—	4	1	no	—
558	#683	—	4	1	no	—
559	#683	—	4	1	no	—
560	C₄×Dic₅	—	2	2	no	—
561	C₄×Dic₅	—	2	2	no	—
562	C₄×Dic₅	—	2	2	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×#125	—	5	1	no	—
568	C₂×#125	—	5	1	no	—
569	C₂×#125	—	5	1	no	—
570	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
571	C₂²×C₄⋊C₄	—	5	1	no	—
572	C₂²×C₄⋊C₄	—	5	1	no	—
573	C₂²×C₄⋊C₄	—	5	1	no	—
574	C₂²×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
575	C₂²×C₂²⋊C₄	—	5	1	no	—
576	C₂²×C₂²⋊C₄	—	5	1	no	—
577	C₂²×C₂²⋊C₄	—	5	1	no	—
578	C₂²×C₂²⋊C₄	—	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	—	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	#400	—	5	1	no	—
598	#400	C₂×D₅	1	1	yes	characteristic, complemented
599	#398	—	5	1	no	—
600	#398	—	5	1	no	—
601	#398	—	5	1	no	—
602	#398	—	5	1	no	—
603	#398	—	5	1	no	—
604	#398	—	5	1	no	—
605	#398	—	5	1	no	—
606	#398	—	5	1	no	—
607	#398	—	5	1	no	—
608	#398	—	5	1	no	—
609	#398	—	5	1	no	—
610	#398	—	5	1	no	—
611	#398	—	5	1	no	—
612	#398	C₂×D₅	1	1	yes	characteristic, complemented
613	#398	C₂×D₅	1	1	yes	characteristic, complemented
614	#398	C₂×D₅	1	1	yes	characteristic, complemented
615	#389	—	5	1	no	—
616	#389	—	5	1	no	—
617	#389	—	5	1	no	—
618	#389	—	5	1	no	—
619	#389	—	5	1	no	—
620	#389	—	5	1	no	—
621	#389	—	5	1	no	—
622	#389	C₂×D₅	1	1	yes	characteristic, complemented
623	#387	—	5	1	no	—
624	#387	—	5	1	no	—
625	#387	—	5	1	no	—
626	#387	—	5	1	no	—
627	#387	—	5	1	no	—
628	#387	—	5	1	no	—
629	#387	—	5	1	no	—
630	#387	—	5	1	no	—
631	#387	—	5	1	no	—
632	#387	—	5	1	no	—
633	#387	—	5	1	no	—
634	#387	—	5	1	no	—
635	#387	—	5	1	no	—
636	#387	—	5	1	no	—
637	#387	C₂×D₅	1	1	yes	characteristic, complemented
638	#387	C₂×D₅	1	1	yes	characteristic, complemented
639	#385	—	5	1	no	—
640	#385	—	5	1	no	—
641	#385	—	5	1	no	—
642	#385	—	5	1	no	—
643	#385	—	5	1	no	—
644	#385	—	5	1	no	—
645	#385	—	5	1	no	—
646	#385	—	5	1	no	—
647	#385	—	5	1	no	—
648	#385	—	5	1	no	—
649	#385	—	5	1	no	—
650	#385	—	5	1	no	—
651	#385	—	5	1	no	—
652	#385	—	5	1	no	—
653	#385	—	5	1	no	—
654	#385	—	5	1	no	—
655	#385	—	5	1	no	—
656	#385	—	5	1	no	—
657	#385	—	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	—	5	1	no	—
666	#385	—	5	1	no	—
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	—	5	1	no	—
682	#385	—	5	1	no	—
683	#385	C₂×D₅	1	1	yes	characteristic
684	#385	C₂×D₅	1	1	yes	characteristic
685	#385	C₂×D₅	1	1	yes	characteristic
686	#385	C₂×D₅	1	1	yes	characteristic
687	#382	—	5	1	no	—
688	#382	—	5	1	no	—
689	#382	—	5	1	no	—
690	#382	—	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	#380	—	5	1	no	—
698	#380	—	5	1	no	—
699	#380	—	5	1	no	—
700	#380	—	5	1	no	—
701	#380	—	5	1	no	—
702	#380	—	5	1	no	—
703	#380	—	5	1	no	—
704	#380	—	5	1	no	—
705	#380	—	5	1	no	—
706	#380	C₂×D₅	1	1	yes	characteristic
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	C₂×D₅	1	1	yes	characteristic
715	C₂×#95	—	5	1	no	—
716	C₂×#95	—	5	1	no	—
717	C₂×#95	—	5	1	no	—
718	C₂×#95	—	5	1	no	—
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	C₂²×Q₈	1	2	yes	—
726	C₂³×C₅	C₂×#41	1	2	yes	—
727	C₂³×C₅	C₂×#41	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	—	4	4	no	—
738	C₂²×D₅	—	4	4	no	—
739	C₂²×D₅	—	4	4	no	—
740	C₂²×D₅	—	4	4	no	—
741	C₂²×D₅	—	4	4	no	—
742	C₂²×D₅	—	4	4	no	—
743	C₂²×D₅	#125	1	16	yes	complemented
744	C₂²×D₅	C₂²×Q₈	1	2	yes	—
745	C₂²×D₅	C₂²×Q₈	1	2	yes	—
746	C₂²×D₅	C₂×#41	1	2	yes	—
747	C₂²×D₅	C₂×#41	1	2	yes	—
748	C₂²×D₅	C₂×#41	1	2	yes	—
749	C₂²×D₅	C₂×#41	1	2	yes	—
750	C₂×C₄×C₅	—	2	1	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	—	4	4	no	—
791	C₂×C₄×C₅	—	8	2	no	—
792	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
793	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
794	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
831	C₂×Dic₅	—	2	1	no	—
832	C₂×Dic₅	—	2	1	no	—
833	C₂×Dic₅	—	2	1	no	—
834	C₂×Dic₅	—	4	4	no	—
835	C₂×Dic₅	—	4	4	no	—
836	C₂×Dic₅	—	8	2	no	—
837	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
838	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
839	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
840	C₄×D₅	—	2	8	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	C₄×D₅	—	4	4	no	—
846	C₄×D₅	—	4	4	no	—
847	C₄×D₅	—	4	4	no	—
848	C₄×D₅	—	4	4	no	—
849	C₄×D₅	—	4	4	no	—
850	C₄×D₅	—	8	2	no	—
851	C₄×D₅	—	8	2	no	—
852	C₂⁵	—	5	1	no	—
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	—	5	1	no	—
863	C₂³×C₄	—	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	—	10	4	no	—
869	C₂³×C₄	—	20	2	no	—
870	C₂³×C₄	—	20	2	no	—
871	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
872	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
873	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
874	#125	—	4	2	no	—
875	#125	—	20	2	no	—
876	#125	—	20	2	no	—
877	#125	—	20	2	no	—
878	C₂×C₄⋊C₄	—	4	2	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	—	20	2	no	—
914	C₂×C₄⋊C₄	—	20	2	no	—
915	C₂×C₄⋊C₄	—	20	2	no	—
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×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	8	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	—	10	4	no	—
952	C₂×C₂²⋊C₄	—	10	4	no	—
953	C₂×C₂²⋊C₄	—	10	4	no	—
954	C₂×C₂²⋊C₄	—	10	4	no	—
955	C₂×C₂²⋊C₄	—	10	4	no	—
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×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	—	20	2	no	—
967	C₂×C₄²	—	20	2	no	—
968	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
969	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
970	#95	—	5	1	no	—
971	#95	—	5	1	no	—
972	#95	—	5	1	no	—
973	#95	—	5	1	no	—
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	—	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	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	#95	C₂²×D₅	1	1	yes	characteristic
1023	#95	C₂²×D₅	1	1	yes	characteristic
1024	#95	C₂²×D₅	1	1	yes	characteristic
1025	#95	C₂²×D₅	1	1	yes	characteristic
1026	C₂²×C₅	—	2	2	no	—
1027	C₂²×C₅	—	2	2	no	—
1028	C₂²×C₅	—	2	2	no	—
1029	C₂²×C₅	—	2	2	no	—
1030	C₂²×C₅	—	2	2	no	—
1031	C₂²×C₅	—	2	2	no	—
1032	C₂²×C₅	C₂×#125	1	4	yes	—
1033	C₂²×C₅	C₂³×Q₈	1	1	yes	characteristic
1034	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1035	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1036	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1037	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1038	C₂²×C₅	#585	1	1	yes	characteristic
1039	C₂²×C₅	#585	1	1	yes	characteristic
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	—	2	2	no	—
1046	C₂×D₅	—	2	2	no	—
1047	C₂×D₅	—	2	2	no	—
1048	C₂×D₅	—	2	2	no	—
1049	C₂×D₅	—	2	2	no	—
1050	C₂×D₅	—	2	2	no	—
1051	C₂×D₅	—	2	2	no	—
1052	C₂×D₅	—	4	16	no	—
1053	C₂×D₅	C₂×#125	1	4	yes	—
1054	C₂×D₅	C₂×#125	1	4	yes	—
1055	C₄×C₅	—	2	2	no	—
1056	C₄×C₅	—	2	2	no	—
1057	C₄×C₅	—	2	2	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	C₄×C₅	—	4	1	no	—
1066	C₄×C₅	—	4	1	no	—
1067	C₄×C₅	—	4	1	no	—
1068	C₄×C₅	—	4	1	no	—
1069	Dic₅	—	2	2	no	—
1070	Dic₅	—	2	2	no	—
1071	Dic₅	—	2	2	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	—	4	1	no	—
1079	Dic₅	—	4	1	no	—
1080	Dic₅	—	4	1	no	—
1081	Dic₅	—	4	1	no	—
1082	Dic₅	—	4	1	no	—
1083	C₂⁴	—	5	1	no	—
1084	C₂⁴	—	5	1	no	—
1085	C₂⁴	—	5	4	no	—
1086	C₂⁴	—	5	4	no	—
1087	C₂⁴	—	5	4	no	—
1088	C₂⁴	—	20	1	no	—
1089	C₂⁴	—	20	1	no	—
1090	C₂⁴	—	20	1	no	—
1091	C₂⁴	—	20	1	no	—
1092	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	2	2	no	—
1095	C₂²×C₄	—	2	2	no	—
1096	C₂²×C₄	—	2	2	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	1	no	—
1100	C₂²×C₄	—	4	1	no	—
1101	C₂²×C₄	—	4	1	no	—
1102	C₂²×C₄	—	5	1	no	—
1103	C₂²×C₄	—	5	1	no	—
1104	C₂²×C₄	—	5	1	no	—
1105	C₂²×C₄	—	5	4	no	—
1106	C₂²×C₄	—	5	4	no	—
1107	C₂²×C₄	—	5	1	no	—
1108	C₂²×C₄	—	5	1	no	—
1109	C₂²×C₄	—	5	1	no	—
1110	C₂²×C₄	—	5	1	no	—
1111	C₂²×C₄	—	5	1	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	—	10	2	no	—
1119	C₂²×C₄	—	10	2	no	—
1120	C₂²×C₄	—	10	2	no	—
1121	C₂²×C₄	—	10	2	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	—	10	2	no	—
1134	C₂²×C₄	—	10	2	no	—
1135	C₂²×C₄	—	10	2	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	1	no	—
1146	C₂²×C₄	—	20	1	no	—
1147	C₂²×C₄	—	20	1	no	—
1148	C₂²×C₄	—	20	1	no	—
1149	C₂²×C₄	—	20	1	no	—
1150	C₂²×C₄	—	20	1	no	—
1151	C₂²×C₄	—	20	1	no	—
1152	C₂²×C₄	—	20	1	no	—
1153	C₂²×C₄	—	20	1	no	—
1154	C₂²×C₄	—	20	1	no	—
1155	C₂²×C₄	—	20	1	no	—
1156	C₂²×C₄	—	20	16	no	—
1157	C₂²×C₄	—	20	1	no	—
1158	C₂²×C₄	—	20	1	no	—
1159	C₂²×C₄	—	20	1	no	—
1160	C₂²×C₄	—	20	1	no	—
1161	C₂²×C₄	—	20	1	no	—
1162	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	2	2	no	—
1178	C₄⋊C₄	—	2	2	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	4	1	no	—
1184	C₄⋊C₄	—	4	1	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	10	2	no	—
1191	C₄⋊C₄	—	10	2	no	—
1192	C₄⋊C₄	—	10	2	no	—
1193	C₄⋊C₄	—	10	2	no	—
1194	C₄⋊C₄	—	10	2	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	C₄⋊C₄	—	20	1	no	—
1205	C₄⋊C₄	—	20	1	no	—
1206	C₄⋊C₄	—	20	1	no	—
1207	C₄⋊C₄	—	20	1	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	C₄⋊C₄	—	20	1	no	—
1215	C₄⋊C₄	—	20	1	no	—
1216	C₄⋊C₄	—	20	1	no	—
1217	C₄⋊C₄	—	20	1	no	—
1218	C₄⋊C₄	—	20	1	no	—
1219	C₄⋊C₄	—	20	1	no	—
1220	C₄⋊C₄	—	20	1	no	—
1221	C₄⋊C₄	—	20	1	no	—
1222	C₄⋊C₄	—	20	1	no	—
1223	C₄⋊C₄	—	20	1	no	—
1224	C₂²⋊C₄	—	2	2	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	5	4	no	—
1228	C₂²⋊C₄	—	5	4	no	—
1229	C₂²⋊C₄	—	5	4	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	—	10	2	no	—
1245	C₂²⋊C₄	—	10	2	no	—
1246	C₂²⋊C₄	—	10	2	no	—
1247	C₂²⋊C₄	Q₈×D₅	1	4	yes	—
1248	C₄²	—	2	2	no	—
1249	C₄²	—	4	1	no	—
1250	C₄²	—	10	2	no	—
1251	C₄²	—	10	2	no	—
1252	C₄²	—	10	2	no	—
1253	C₄²	—	20	1	no	—
1254	C₄²	—	20	1	no	—
1255	C₄²	—	20	1	no	—
1256	C₂×C₅	—	2	4	no	—
1257	C₂×C₅	C₂²×#125	1	1	yes	characteristic
1258	C₂×C₅	#3459	1	1	yes	characteristic
1259	C₂×C₅	#3459	1	1	yes	characteristic
1260	C₂×C₅	#3490	1	1	yes	characteristic
1261	C₂×C₅	#3491	1	1	yes	characteristic
1262	C₂×C₅	#3501	1	1	yes	characteristic
1263	C₂×C₅	#3501	1	1	yes	characteristic
1264	D₅	—	2	4	no	—
1265	D₅	—	2	4	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	5	2	no	—
1271	C₂³	—	5	2	no	—
1272	C₂³	—	5	2	no	—
1273	C₂³	—	5	2	no	—
1274	C₂³	—	5	2	no	—
1275	C₂³	—	5	2	no	—
1276	C₂³	—	5	16	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	—	10	1	no	—
1284	C₂³	—	10	1	no	—
1285	C₂³	—	20	4	no	—
1286	C₂³	—	20	4	no	—
1287	C₂³	—	20	4	no	—
1288	C₂³	—	20	4	no	—
1289	C₂³	—	20	4	no	—
1290	C₂³	—	20	4	no	—
1291	C₂³	C₂×Q₈×D₅	1	2	yes	—
1292	C₂³	D₅×#41	1	2	yes	—
1293	C₂³	D₅×#41	1	2	yes	—
1294	C₂³	C₂⁴×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	4	4	no	—
1336	C₂×C₄	—	5	2	no	—
1337	C₂×C₄	—	5	2	no	—
1338	C₂×C₄	—	5	2	no	—
1339	C₂×C₄	—	8	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	—	10	1	no	—
1378	C₂×C₄	—	10	1	no	—
1379	C₂×C₄	—	10	1	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	—	20	4	no	—
1386	C₂×C₄	—	20	4	no	—
1387	C₂×C₄	—	20	4	no	—
1388	C₂×C₄	—	20	4	no	—
1389	C₂×C₄	—	20	4	no	—
1390	C₂×C₄	—	20	4	no	—
1391	C₂×C₄	—	40	2	no	—
1392	C₂×C₄	—	40	2	no	—
1393	C₂×C₄	—	40	2	no	—
1394	C₂×C₄	#4144	1	2	yes	—
1395	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1396	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1397	C₅	#34994	1	1	yes	characteristic, complemented, Sylow
1398	C₂²	—	2	2	no	—
1399	C₂²	—	2	2	no	—
1400	C₂²	—	2	2	no	—
1401	C₂²	—	2	2	no	—
1402	C₂²	—	2	2	no	—
1403	C₂²	—	2	2	no	—
1404	C₂²	—	5	4	no	—
1405	C₂²	—	5	4	no	—
1406	C₂²	—	10	2	no	—
1407	C₂²	—	10	2	no	—
1408	C₂²	—	10	2	no	—
1409	C₂²	—	10	2	no	—
1410	C₂²	—	10	2	no	—
1411	C₂²	—	10	2	no	—
1412	C₂²	—	10	2	no	—
1413	C₂²	—	10	2	no	—
1414	C₂²	—	10	2	no	—
1415	C₂²	—	10	2	no	—
1416	C₂²	—	10	2	no	—
1417	C₂²	—	10	2	no	—
1418	C₂²	—	20	16	no	—
1419	C₂²	D₅×#125	1	4	yes	—
1420	C₂²	C₂×#4144	1	1	yes	characteristic
1421	C₂²	C₂²×Q₈×D₅	1	1	yes	characteristic
1422	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1423	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1424	C₂²	#66283	1	1	yes	characteristic
1425	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1426	C₂²	#66287	1	1	yes	characteristic
1427	C₄	—	2	2	no	—
1428	C₄	—	2	2	no	—
1429	C₄	—	2	2	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	4	1	no	—
1435	C₄	—	4	1	no	—
1436	C₄	—	4	1	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	4	1	no	—
1440	C₄	—	4	1	no	—
1441	C₄	—	10	2	no	—
1442	C₄	—	10	2	no	—
1443	C₄	—	10	2	no	—
1444	C₄	—	20	1	no	—
1445	C₄	—	20	1	no	—
1446	C₄	—	20	1	no	—
1447	C₄	—	20	1	no	—
1448	C₄	—	20	1	no	—
1449	C₄	—	20	1	no	—
1450	C₄	—	20	1	no	—
1451	C₄	—	20	1	no	—
1452	C₄	—	20	1	no	—
1453	C₄	—	20	1	no	—
1454	C₄	—	20	1	no	—
1455	C₂	—	2	4	no	—
1456	C₂	—	10	4	no	—
1457	C₂	—	10	4	no	—
1458	C₂	#10617937	1	1	yes	characteristic
1459	C₂	C₂×D₅×#125	1	1	yes	characteristic
1460	C₂	#10618329	1	1	yes	characteristic
1461	C₂	#10618565	1	1	yes	characteristic
1462	C₂	#10618662	1	1	yes	characteristic
1463	C₂	#10618760	1	1	yes	characteristic
1464	C₂	#10618850	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2473	C₂
prime radical	C₂⁴×D₅	C₂³
hypercenter	#2473	D₅
hypocenter	C₅	#34994
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2473

Complements

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

N	H ≅ G/N	type
1. C₅×#2473	C₂	semidirect
2. #10614803	C₂	semidirect
3. #10614763	C₂	semidirect
5. #10613905	C₂	semidirect
6. #10610094	C₂	semidirect
7. #10610084	C₂	semidirect
8. #10609696	C₂	semidirect
9. #10609696	C₂	semidirect
10. #10609696	C₂	semidirect
11. #10609687	C₂	semidirect
12. #10609489	C₂	semidirect
13. #10609487	C₂	semidirect
14. #10608016	C₂	semidirect
15. #10607754	C₂	semidirect
16. #10607176	C₂	semidirect
17. #10607176	C₂	semidirect
18. #10607072	C₂	semidirect
19. #10607071	C₂	semidirect
24. #10606195	C₂	semidirect
25. #10606194	C₂	semidirect
26. #10606193	C₂	semidirect
27. #10606174	C₂	semidirect
29. #10605639	C₂	semidirect
31. #10605251	C₂	semidirect
33. C₂×C₅×#125	C₂²	semidirect
40. C₂×#4036	C₂²	semidirect
41. C₂×#4035	C₂²	semidirect
42. C₂×#4035	C₂²	semidirect
49. C₅×#400	C₂²	semidirect
50. C₅×#398	C₂²	semidirect
51. C₅×#398	C₂²	semidirect
52. C₅×#398	C₂²	semidirect
53. C₅×#389	C₂²	semidirect
54. C₅×#387	C₂²	semidirect
55. C₅×#387	C₂²	semidirect
96. #65275	C₂²	semidirect
97. #65273	C₂²	semidirect
98. #65273	C₂²	semidirect
99. #65273	C₂²	semidirect
100. #65273	C₂²	semidirect
101. #65272	C₂²	semidirect
102. #65272	C₂²	semidirect
103. #65272	C₂²	semidirect
104. #65271	C₂²	semidirect
105. #65271	C₂²	semidirect
106. #65271	C₂²	semidirect
107. #65270	C₂²	semidirect
108. #65270	C₂²	semidirect
109. #65269	C₂²	semidirect
110. #65269	C₂²	semidirect
111. #65269	C₂²	semidirect
112. #65267	C₂²	semidirect
113. #65267	C₂²	semidirect
114. #65267	C₂²	semidirect
115. #65267	C₂²	semidirect
116. #65266	C₂²	semidirect
117. #65262	C₂²	semidirect
118. #65262	C₂²	semidirect
119. #65261	C₂²	semidirect
120. #65261	C₂²	semidirect
135. #65225	C₂²	semidirect
136. #65222	C₂²	semidirect
137. #65222	C₂²	semidirect
138. #65217	C₂²	semidirect
163. #64950	C₂²	semidirect
164. #64949	C₂²	semidirect
165. #64949	C₂²	semidirect
166. #64949	C₂²	semidirect
167. #64949	C₂²	semidirect
168. #64949	C₂²	semidirect
169. #64949	C₂²	semidirect
170. #64948	C₂²	semidirect
171. #64947	C₂²	semidirect
172. #64947	C₂²	semidirect
173. #64947	C₂²	semidirect
174. #64947	C₂²	semidirect
175. #64946	C₂²	semidirect
176. #64946	C₂²	semidirect
177. #64944	C₂²	semidirect
178. #64944	C₂²	semidirect
179. #64943	C₂²	semidirect
180. #64943	C₂²	semidirect
181. #64941	C₂²	semidirect
182. #64941	C₂²	semidirect
183. #64939	C₂²	semidirect
184. #64939	C₂²	semidirect
185. #64936	C₂²	semidirect
186. #64936	C₂²	semidirect
385. #2473	D₅	semidirect
570. C₂×#125	C₂×D₅	semidirect
598. #400	C₂×D₅	semidirect
612. #398	C₂×D₅	semidirect
613. #398	C₂×D₅	semidirect
614. #398	C₂×D₅	semidirect
622. #389	C₂×D₅	semidirect
637. #387	C₂×D₅	semidirect
638. #387	C₂×D₅	semidirect
743. C₂²×D₅	#125	semidirect
1397. C₅	#34994	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2473	2
#10614803	2
#10614763	2
C₂×#65278	2
#10613905	2
#10610094	2
#10610084	2
#10609696	2
#10609687	2
#10609489	2
#10609487	2
#10608016	2
#10607754	2
#10607176	2
#10607072	2
#10607071	2
#10606322	2
D₅×#385	2
#10606195	2
#10606194	2
#10606193	2
#10606174	2
#10605736	2
#10605639	2
C₄×D₅×C₂²⋊C₄	2
#10605251	2
#34994	5