Subgroups — #12268565

Order 1280.

1944 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2396	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×#4092	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#4090	C₂	1	1	yes	maximal, characteristic, complemented
4	#10613999	C₂	1	1	yes	maximal, characteristic
5	#10613955	C₂	1	1	yes	maximal, characteristic, complemented
6	#10610085	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609889	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609766	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609760	C₂	1	1	yes	maximal, characteristic
10	#10609687	C₂	1	1	yes	maximal, characteristic, complemented
11	#10609505	C₂	1	1	yes	maximal, characteristic, complemented
12	#10609499	C₂	1	1	yes	maximal, characteristic, complemented
13	#10609496	C₂	1	1	yes	maximal, characteristic, complemented
14	#10609151	C₂	1	1	yes	maximal, characteristic
15	#10609041	C₂	1	1	yes	maximal, characteristic, complemented
16	#10609036	C₂	1	1	yes	maximal, characteristic, complemented
17	#10609016	C₂	1	1	yes	maximal, characteristic
18	#10608914	C₂	1	1	yes	maximal, characteristic, complemented
19	#10608905	C₂	1	1	yes	maximal, characteristic, complemented
20	#10608597	C₂	1	1	yes	maximal, characteristic
21	#10608524	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#4042	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#4042	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
25	#10605401	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605401	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605350	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605293	C₂	1	1	yes	maximal, characteristic
29	#10605211	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#4024	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4027	C₂	1	1	yes	maximal, characteristic
32	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₅×#117	C₂²	1	1	yes	characteristic
34	C₂×#4092	C₂²	1	1	yes	characteristic
35	C₂×#4090	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
37	C₂×#4072	C₂²	1	1	yes	characteristic
38	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic
39	C₂×#4042	C₂²	1	1	yes	characteristic
40	C₂×#4042	C₂²	1	1	yes	characteristic
41	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×#4027	C₂²	1	1	yes	characteristic
44	C₂×#4027	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×C₄²×D₅	C₂²	1	1	yes	characteristic
49	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
50	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
51	C₅×#400	C₂²	1	1	yes	characteristic
52	C₅×#399	C₂²	1	1	yes	characteristic
53	C₅×#398	C₂²	1	1	yes	characteristic
54	C₅×#398	C₂²	1	1	yes	characteristic
55	C₅×#396	C₂²	1	1	yes	characteristic
56	C₅×#396	C₂²	1	1	yes	characteristic
57	C₅×#395	C₂²	1	1	yes	characteristic
58	C₅×#393	C₂²	1	1	yes	characteristic
59	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
60	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	#65519	C₂²	1	1	yes	characteristic
65	#65519	C₂²	1	1	yes	characteristic
66	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
67	#65278	C₂²	1	1	yes	characteristic
68	#65278	C₂²	1	1	yes	characteristic
69	#65278	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	#65276	C₂²	1	1	yes	characteristic
74	#65273	C₂²	1	1	yes	characteristic
75	#65273	C₂²	1	1	yes	characteristic
76	#65272	C₂²	1	1	yes	characteristic
77	#65272	C₂²	1	1	yes	characteristic
78	#65271	C₂²	1	1	yes	characteristic
79	#65271	C₂²	1	1	yes	characteristic
80	#65270	C₂²	1	1	yes	characteristic
81	#65270	C₂²	1	1	yes	characteristic
82	#65269	C₂²	1	1	yes	characteristic
83	#65269	C₂²	1	1	yes	characteristic
84	#65267	C₂²	1	1	yes	characteristic
85	#65267	C₂²	1	1	yes	characteristic
86	#65267	C₂²	1	1	yes	characteristic
87	#65267	C₂²	1	1	yes	characteristic
88	#65267	C₂²	1	1	yes	characteristic
89	#65267	C₂²	1	1	yes	characteristic
90	#65266	C₂²	1	1	yes	characteristic
91	#65266	C₂²	1	1	yes	characteristic
92	#65265	C₂²	1	1	yes	characteristic
93	#65265	C₂²	1	1	yes	characteristic
94	#65265	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
96	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
97	#65263	C₂²	1	1	yes	characteristic
98	#65262	C₂²	1	1	yes	characteristic
99	#65261	C₂²	1	1	yes	characteristic
100	#65261	C₂²	1	1	yes	characteristic
101	#65261	C₂²	1	1	yes	characteristic
102	#65261	C₂²	1	1	yes	characteristic
103	#65261	C₂²	1	1	yes	characteristic
104	#65261	C₂²	1	1	yes	characteristic
105	#65261	C₂²	1	1	yes	characteristic
106	#65261	C₂²	1	1	yes	characteristic
107	#65245	C₂²	1	1	yes	characteristic
108	#65245	C₂²	1	1	yes	characteristic
109	#65245	C₂²	1	1	yes	characteristic
110	#65245	C₂²	1	1	yes	characteristic
111	#65239	C₂²	1	1	yes	characteristic
112	#65238	C₂²	1	1	yes	characteristic
113	#65237	C₂²	1	1	yes	characteristic
114	#65237	C₂²	1	1	yes	characteristic
115	#65236	C₂²	1	1	yes	characteristic
116	#65235	C₂²	1	1	yes	characteristic
117	#65234	C₂²	1	1	yes	characteristic
118	#65234	C₂²	1	1	yes	characteristic
119	#65233	C₂²	1	1	yes	characteristic
120	#65233	C₂²	1	1	yes	characteristic
121	#65231	C₂²	1	1	yes	characteristic
122	#65231	C₂²	1	1	yes	characteristic
123	#65231	C₂²	1	1	yes	characteristic
124	#65231	C₂²	1	1	yes	characteristic
125	#65231	C₂²	1	1	yes	characteristic
126	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
127	C₂²⋊C₄×Dic₅	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×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
132	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
133	#65221	C₂²	1	1	yes	characteristic
134	#65221	C₂²	1	1	yes	characteristic
135	C₄×#683	C₂²	1	1	yes	characteristic
136	C₄×#683	C₂²	1	1	yes	characteristic
137	C₄×#683	C₂²	1	1	yes	characteristic
138	C₄×#683	C₂²	1	1	yes	characteristic
139	C₄×#683	C₂²	1	1	yes	characteristic
140	C₄×#683	C₂²	1	1	yes	characteristic
141	C₄×#683	C₂²	1	1	yes	characteristic
142	C₄×#683	C₂²	1	1	yes	characteristic
143	C₄×#683	C₂²	1	1	yes	characteristic
144	C₄×#683	C₂²	1	1	yes	characteristic
145	C₄×#683	C₂²	1	1	yes	characteristic
146	C₄²×Dic₅	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	#64955	C₂²	1	1	yes	characteristic
154	#64955	C₂²	1	1	yes	characteristic
155	D₅×#95	C₂²	1	1	yes	characteristic
156	D₅×#95	C₂²	1	1	yes	characteristic
157	#64950	C₂²	1	1	yes	characteristic
158	#64949	C₂²	1	1	yes	characteristic
159	#64948	C₂²	1	1	yes	characteristic
160	#64948	C₂²	1	1	yes	characteristic
161	#64947	C₂²	1	1	yes	characteristic
162	#64947	C₂²	1	1	yes	characteristic
163	#64947	C₂²	1	1	yes	characteristic
164	#64947	C₂²	1	1	yes	characteristic
165	#64946	C₂²	1	1	yes	characteristic
166	#64946	C₂²	1	1	yes	characteristic
167	#64946	C₂²	1	1	yes	characteristic
168	#64945	C₂²	1	1	yes	characteristic
169	#64944	C₂²	1	1	yes	characteristic
170	#64944	C₂²	1	1	yes	characteristic
171	#64944	C₂²	1	1	yes	characteristic
172	#64943	C₂²	1	1	yes	characteristic
173	#64942	C₂²	1	1	yes	characteristic
174	#64942	C₂²	1	1	yes	characteristic
175	#64941	C₂²	1	1	yes	characteristic
176	#64941	C₂²	1	1	yes	characteristic
177	#64938	C₂²	1	1	yes	characteristic
178	#64938	C₂²	1	1	yes	characteristic
179	#64938	C₂²	1	1	yes	characteristic
180	#64938	C₂²	1	1	yes	characteristic
181	#64936	C₂²	1	1	yes	characteristic
182	#64935	C₂²	1	1	yes	characteristic
183	#64935	C₂²	1	1	yes	characteristic
184	#64935	C₂²	1	1	yes	characteristic
185	#64935	C₂²	1	1	yes	characteristic
186	#64935	C₂²	1	1	yes	characteristic
187	#34772	—	5	1	no	maximal, Sylow
188	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
191	C₂³×Dic₅	C₂³	1	1	yes	characteristic
192	C₂³×Dic₅	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
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×Dic₁₀	C₂³	1	1	yes	characteristic
201	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
202	C₄×C₅×Q₈	—	4	2	no	—
203	C₅×#117	—	4	2	no	—
204	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₅×C₄⋊C₄	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×C₄²×C₅	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₅	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	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
232	#4092	—	2	4	no	—
233	#4090	—	2	4	no	—
234	C₄×C₂²⋊D₅	Q₈	1	8	yes	complemented
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	#4072	—	4	2	no	—
243	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
251	C₂×#683	C₂³	1	1	yes	characteristic
252	C₂×#683	C₂³	1	1	yes	characteristic
253	C₂×#683	C₂³	1	1	yes	characteristic
254	C₂×#683	C₂³	1	1	yes	characteristic
255	C₂×#683	C₂³	1	1	yes	characteristic
256	C₂×#683	C₂³	1	1	yes	characteristic
257	C₂×#683	C₂³	1	1	yes	characteristic
258	C₂×#683	C₂³	1	1	yes	characteristic
259	C₂×#683	C₂³	1	1	yes	characteristic
260	C₂×#683	C₂³	1	1	yes	characteristic
261	C₂×#683	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×C₄×Dic₅	—	2	4	no	—
279	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₅	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	#4042	—	2	4	no	—
299	#4042	—	2	4	no	—
300	D₅×C₄⋊C₄	—	2	4	no	—
301	D₅×C₄⋊C₄	—	2	4	no	—
302	#4027	—	2	4	no	—
303	#4027	—	2	4	no	—
304	#4024	—	2	4	no	—
305	C₄²×D₅	—	2	4	no	—
306	C₄²×D₅	—	4	2	no	—
307	C₄²×D₅	—	4	2	no	—
308	C₄×Dic₁₀	—	2	4	no	—
309	C₄×Dic₁₀	—	4	2	no	—
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	C₅×#95	C₂³	1	1	yes	characteristic
319	C₅×#95	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	#2522	—	5	1	no	—
363	#2522	—	5	1	no	—
364	#2520	—	5	1	no	—
365	#2520	—	5	1	no	—
366	#2511	—	5	1	no	—
367	#2507	—	5	1	no	—
368	#2505	—	5	1	no	—
369	#2505	—	5	1	no	—
370	#2502	—	5	1	no	—
371	#2497	—	5	1	no	—
372	#2492	—	5	1	no	—
373	#2487	—	5	1	no	—
374	#2450	—	5	1	no	—
375	#2450	—	5	1	no	—
376	#2440	—	5	1	no	—
377	#2417	—	5	1	no	—
378	#2402	—	5	1	no	—
379	#2402	—	5	1	no	—
380	#2396	—	5	1	no	—
381	#2396	D₅	1	1	yes	characteristic, complemented
382	C₄×C₄⋊Q₈	—	5	1	no	—
383	C₄×C₂²⋊Q₈	—	5	1	no	—
384	C₄×C₂²⋊Q₈	—	5	1	no	—
385	C₄×C₂²⋊Q₈	—	5	1	no	—
386	C₄×C₂²⋊Q₈	—	5	1	no	—
387	#2295	—	5	1	no	—
388	#2290	—	5	1	no	—
389	#2290	—	5	1	no	—
390	#2285	—	5	1	no	—
391	C₄²×D₄	—	5	1	no	—
392	C₂×C₄×C₄⋊C₄	—	5	1	no	—
393	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
394	C₂³×D₅	C₂⁴	1	1	yes	characteristic
395	C₂×C₅×Q₈	—	2	2	no	—
396	C₂×C₅×Q₈	—	2	2	no	—
397	C₂×C₅×Q₈	—	4	1	no	—
398	C₂²×C₄×C₅	—	2	2	no	—
399	C₂²×C₄×C₅	—	2	2	no	—
400	C₂²×C₄×C₅	C₂×Q₈	1	4	yes	—
401	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₅	—	2	2	no	—
416	C₂×C₂²⋊D₅	—	2	2	no	—
417	C₂×C₂²⋊D₅	C₂×Q₈	1	4	yes	—
418	C₂²×Dic₅	—	2	2	no	—
419	C₂²×Dic₅	—	2	2	no	—
420	C₂²×Dic₅	—	2	2	no	—
421	C₂²×Dic₅	—	2	2	no	—
422	C₂²×Dic₅	—	2	2	no	—
423	C₂²×Dic₅	—	4	1	no	—
424	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₅	—	2	2	no	—
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	—	2	2	no	—
449	C₂×C₄×D₅	—	2	2	no	—
450	C₂×C₄×D₅	—	2	2	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	C₂×Q₈	1	4	yes	—
459	C₂×C₄×D₅	#41	1	4	yes	—
460	C₂×Dic₁₀	—	2	2	no	—
461	C₂×Dic₁₀	—	2	2	no	—
462	C₂×Dic₁₀	—	2	2	no	—
463	C₂×Dic₁₀	—	2	2	no	—
464	C₂×Dic₁₀	—	2	2	no	—
465	C₂×Dic₁₀	—	4	1	no	—
466	C₅×C₄⋊C₄	—	2	2	no	—
467	C₅×C₄⋊C₄	—	2	2	no	—
468	C₅×C₄⋊C₄	—	2	2	no	—
469	C₅×C₄⋊C₄	—	2	2	no	—
470	C₅×C₄⋊C₄	—	4	1	no	—
471	C₅×C₄⋊C₄	—	4	1	no	—
472	C₅×C₄⋊C₄	—	4	1	no	—
473	C₅×C₄⋊C₄	—	4	1	no	—
474	C₅×C₄⋊C₄	—	4	1	no	—
475	C₅×C₄⋊C₄	—	4	1	no	—
476	C₅×C₄⋊C₄	—	4	1	no	—
477	C₅×C₂²⋊C₄	—	2	2	no	—
478	C₅×C₂²⋊C₄	—	2	2	no	—
479	C₅×C₂²⋊C₄	—	2	2	no	—
480	C₅×C₂²⋊C₄	—	4	1	no	—
481	C₅×C₂²⋊C₄	—	4	1	no	—
482	C₅×C₂²⋊C₄	—	4	1	no	—
483	C₄²×C₅	—	2	2	no	—
484	C₄²×C₅	—	2	2	no	—
485	C₄²×C₅	—	2	2	no	—
486	C₄²×C₅	—	2	2	no	—
487	C₄²×C₅	—	2	2	no	—
488	C₄²×C₅	—	2	2	no	—
489	C₂²⋊Dic₅	—	2	2	no	—
490	C₂²⋊Dic₅	—	4	1	no	—
491	C₂²⋊Dic₅	—	4	1	no	—
492	C₂²⋊Dic₅	—	4	1	no	—
493	C₂²⋊Dic₅	C₂×Q₈	1	4	yes	—
494	#685	—	2	2	no	—
495	#685	—	2	2	no	—
496	#685	—	2	2	no	—
497	#685	—	2	2	no	—
498	#685	—	2	2	no	—
499	#685	C₂×Q₈	1	4	yes	—
500	#685	#41	1	4	yes	—
501	C₄⋊Dic₅	—	2	2	no	—
502	C₄⋊Dic₅	—	2	2	no	—
503	C₄⋊Dic₅	—	2	2	no	—
504	C₄⋊Dic₅	—	2	2	no	—
505	C₄⋊Dic₅	—	2	2	no	—
506	C₄⋊Dic₅	—	4	1	no	—
507	C₄⋊Dic₅	—	4	1	no	—
508	C₄⋊Dic₅	—	4	1	no	—
509	#683	—	2	2	no	—
510	#683	—	2	2	no	—
511	#683	—	2	2	no	—
512	#683	—	2	2	no	—
513	#683	—	2	2	no	—
514	#683	—	2	2	no	—
515	#683	—	2	2	no	—
516	#683	—	2	2	no	—
517	#683	—	2	2	no	—
518	#683	—	2	2	no	—
519	#683	—	2	2	no	—
520	#683	—	2	2	no	—
521	#683	—	2	2	no	—
522	#683	—	2	2	no	—
523	#683	—	2	2	no	—
524	#683	—	2	2	no	—
525	#683	—	2	2	no	—
526	#683	—	4	1	no	—
527	#683	—	4	1	no	—
528	#683	—	4	1	no	—
529	#683	—	4	1	no	—
530	#683	—	4	1	no	—
531	#683	—	4	1	no	—
532	#683	—	4	1	no	—
533	#683	—	4	1	no	—
534	#683	C₂×Q₈	1	4	yes	—
535	#683	#41	1	4	yes	—
536	C₄×Dic₅	—	2	2	no	—
537	C₄×Dic₅	—	2	2	no	—
538	C₄×Dic₅	—	2	2	no	—
539	C₄×Dic₅	—	2	2	no	—
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	—	2	2	no	—
545	C₄×Dic₅	—	2	2	no	—
546	C₄×Dic₅	—	2	2	no	—
547	C₄×Dic₅	—	2	2	no	—
548	C₄×Dic₅	—	4	1	no	—
549	C₄×Dic₅	—	4	1	no	—
550	C₄×Dic₅	—	4	1	no	—
551	C₄×Dic₅	—	4	1	no	—
552	C₄×Dic₅	—	4	1	no	—
553	C₄×Dic₅	C₂×Q₈	1	4	yes	—
554	C₄×Dic₅	#41	1	4	yes	—
555	C₂×C₄⋊Q₈	—	5	1	no	—
556	C₂×C₂²⋊Q₈	—	5	1	no	—
557	C₂×C₂²⋊Q₈	—	5	1	no	—
558	C₂×C₂²⋊Q₈	—	5	1	no	—
559	C₂×C₂²⋊Q₈	—	5	1	no	—
560	C₂×C₄×Q₈	—	5	1	no	—
561	C₂×C₄×Q₈	—	5	1	no	—
562	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
563	C₂×C₄×D₄	—	5	1	no	—
564	C₂×C₄×D₄	—	5	1	no	—
565	C₂×C₄×D₄	—	5	1	no	—
566	C₂×#117	—	5	1	no	—
567	C₂×#117	C₂×D₅	1	1	yes	characteristic
568	C₂²×C₄⋊C₄	—	5	1	no	—
569	C₂²×C₄⋊C₄	—	5	1	no	—
570	C₂²×C₄²	—	5	1	no	—
571	C₂²×C₄²	—	5	1	no	—
572	C₂²×C₄²	—	5	1	no	—
573	C₂²×C₄²	—	5	1	no	—
574	#400	—	5	1	no	—
575	#400	—	5	1	no	—
576	#400	—	5	1	no	—
577	#400	—	5	1	no	—
578	#400	—	5	1	no	—
579	#400	—	5	1	no	—
580	#400	—	5	1	no	—
581	#400	—	5	1	no	—
582	#400	—	5	1	no	—
583	#400	C₂×D₅	1	1	yes	characteristic
584	#399	—	5	1	no	—
585	#399	C₂×D₅	1	1	yes	characteristic
586	#398	—	5	1	no	—
587	#398	—	5	1	no	—
588	#398	—	5	1	no	—
589	#398	—	5	1	no	—
590	#398	—	5	1	no	—
591	#398	—	5	1	no	—
592	#398	—	5	1	no	—
593	#398	—	5	1	no	—
594	#398	—	5	1	no	—
595	#398	—	5	1	no	—
596	#398	C₂×D₅	1	1	yes	characteristic
597	#398	C₂×D₅	1	1	yes	characteristic
598	#396	—	5	1	no	—
599	#396	—	5	1	no	—
600	#396	C₂×D₅	1	1	yes	characteristic
601	#396	C₂×D₅	1	1	yes	characteristic
602	#395	—	5	1	no	—
603	#395	C₂×D₅	1	1	yes	characteristic
604	#393	—	5	1	no	—
605	#393	C₂×D₅	1	1	yes	characteristic
606	#391	—	5	1	no	—
607	#391	—	5	1	no	—
608	#391	—	5	1	no	—
609	#391	—	5	1	no	—
610	#391	—	5	1	no	—
611	#391	—	5	1	no	—
612	#391	—	5	1	no	—
613	#391	—	5	1	no	—
614	#389	—	5	1	no	—
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	—	5	1	no	—
623	#389	—	5	1	no	—
624	#388	—	5	1	no	—
625	#388	—	5	1	no	—
626	#388	—	5	1	no	—
627	#388	—	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	—	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	#386	—	5	1	no	—
645	#386	—	5	1	no	—
646	#386	—	5	1	no	—
647	#386	—	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	#384	—	5	1	no	—
661	#384	—	5	1	no	—
662	#384	—	5	1	no	—
663	#382	—	5	1	no	—
664	#382	—	5	1	no	—
665	#380	—	5	1	no	—
666	#380	—	5	1	no	—
667	#380	—	5	1	no	—
668	#380	—	5	1	no	—
669	#380	—	5	1	no	—
670	#380	—	5	1	no	—
671	#380	—	5	1	no	—
672	#380	—	5	1	no	—
673	C₄×C₄⋊C₄	—	5	1	no	—
674	C₄×C₄⋊C₄	—	5	1	no	—
675	C₄×C₄⋊C₄	—	5	1	no	—
676	C₄×C₄⋊C₄	—	5	1	no	—
677	C₄×C₄⋊C₄	—	5	1	no	—
678	C₄×C₄⋊C₄	—	5	1	no	—
679	C₄×C₄⋊C₄	—	5	1	no	—
680	C₄×C₄⋊C₄	—	5	1	no	—
681	C₄×C₄⋊C₄	—	5	1	no	—
682	C₄×C₄⋊C₄	—	5	1	no	—
683	C₄×C₄⋊C₄	—	5	1	no	—
684	C₄×C₄⋊C₄	—	5	1	no	—
685	C₄×C₄⋊C₄	—	5	1	no	—
686	C₄×C₄⋊C₄	—	5	1	no	—
687	C₄×C₄⋊C₄	—	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	C₂×D₅	1	1	yes	characteristic
693	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
694	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
695	C₄×C₂²⋊C₄	—	5	1	no	—
696	C₄×C₂²⋊C₄	—	5	1	no	—
697	C₄×C₂²⋊C₄	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic
704	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
705	#376	—	5	1	no	—
706	#376	—	5	1	no	—
707	C₂×#95	—	5	1	no	—
708	C₂×#95	—	5	1	no	—
709	C₄³	—	5	1	no	—
710	C₂³×C₅	—	2	1	no	—
711	C₂³×C₅	—	2	1	no	—
712	C₂³×C₅	—	2	1	no	—
713	C₂³×C₅	—	2	1	no	—
714	C₂³×C₅	—	2	1	no	—
715	C₂³×C₅	—	2	1	no	—
716	C₂³×C₅	C₂²×Q₈	1	2	yes	—
717	C₂³×C₅	C₂⁵	1	1	yes	characteristic
718	C₂²×D₅	—	2	1	no	—
719	C₂²×D₅	—	2	1	no	—
720	C₂²×D₅	—	2	1	no	—
721	C₂²×D₅	—	2	1	no	—
722	C₂²×D₅	C₂²×Q₈	1	2	yes	—
723	C₂²×D₅	C₂×#41	1	2	yes	—
724	C₂²×D₅	C₂×#41	1	2	yes	—
725	C₅×Q₈	—	4	4	no	—
726	C₂×C₄×C₅	—	2	1	no	—
727	C₂×C₄×C₅	—	2	1	no	—
728	C₂×C₄×C₅	—	2	1	no	—
729	C₂×C₄×C₅	—	2	1	no	—
730	C₂×C₄×C₅	—	2	1	no	—
731	C₂×C₄×C₅	—	2	1	no	—
732	C₂×C₄×C₅	—	2	1	no	—
733	C₂×C₄×C₅	—	2	1	no	—
734	C₂×C₄×C₅	—	2	8	no	—
735	C₂×C₄×C₅	—	2	1	no	—
736	C₂×C₄×C₅	—	2	1	no	—
737	C₂×C₄×C₅	—	2	1	no	—
738	C₂×C₄×C₅	—	2	1	no	—
739	C₂×C₄×C₅	—	2	1	no	—
740	C₂×C₄×C₅	—	2	1	no	—
741	C₂×C₄×C₅	—	2	1	no	—
742	C₂×C₄×C₅	—	2	1	no	—
743	C₂×C₄×C₅	—	2	1	no	—
744	C₂×C₄×C₅	—	2	1	no	—
745	C₂×C₄×C₅	—	2	1	no	—
746	C₂×C₄×C₅	—	2	1	no	—
747	C₂×C₄×C₅	—	2	1	no	—
748	C₂×C₄×C₅	—	2	1	no	—
749	C₂×C₄×C₅	—	2	1	no	—
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	C₂²×Q₈	1	2	yes	—
763	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
764	C₂×C₄×C₅	C₂×#41	1	2	yes	—
765	C₂×C₄×C₅	C₂×#41	1	2	yes	—
766	C₂×C₄×C₅	C₂×#41	1	2	yes	—
767	C₂×C₄×C₅	C₂×#41	1	2	yes	—
768	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
769	C₂²⋊D₅	—	2	8	no	—
770	C₂×Dic₅	—	2	1	no	—
771	C₂×Dic₅	—	2	1	no	—
772	C₂×Dic₅	—	2	1	no	—
773	C₂×Dic₅	—	2	1	no	—
774	C₂×Dic₅	—	2	1	no	—
775	C₂×Dic₅	—	2	1	no	—
776	C₂×Dic₅	—	2	1	no	—
777	C₂×Dic₅	—	2	1	no	—
778	C₂×Dic₅	—	2	1	no	—
779	C₂×Dic₅	—	2	1	no	—
780	C₂×Dic₅	—	2	1	no	—
781	C₂×Dic₅	—	2	1	no	—
782	C₂×Dic₅	—	2	1	no	—
783	C₂×Dic₅	—	2	1	no	—
784	C₂×Dic₅	—	2	1	no	—
785	C₂×Dic₅	—	2	1	no	—
786	C₂×Dic₅	—	2	1	no	—
787	C₂×Dic₅	—	2	1	no	—
788	C₂×Dic₅	—	2	1	no	—
789	C₂×Dic₅	—	2	1	no	—
790	C₂×Dic₅	—	2	1	no	—
791	C₂×Dic₅	—	2	1	no	—
792	C₂×Dic₅	—	2	1	no	—
793	C₂×Dic₅	—	2	1	no	—
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	—	4	4	no	—
807	C₂×Dic₅	—	4	4	no	—
808	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
809	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
810	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
811	C₂×Dic₅	C₂×#41	1	2	yes	—
812	C₂×Dic₅	C₂×#41	1	2	yes	—
813	C₂×Dic₅	C₂×#41	1	2	yes	—
814	C₂×Dic₅	C₂×#41	1	2	yes	—
815	C₂×Dic₅	C₂×#41	1	2	yes	—
816	C₂×Dic₅	C₂×#41	1	2	yes	—
817	C₄×D₅	—	2	8	no	—
818	C₄×D₅	—	2	8	no	—
819	C₄×D₅	—	4	4	no	—
820	C₄×D₅	—	4	4	no	—
821	C₄×D₅	—	4	4	no	—
822	C₄×D₅	—	4	4	no	—
823	C₄×D₅	—	4	4	no	—
824	Dic₁₀	—	4	4	no	—
825	Dic₁₀	—	4	4	no	—
826	C₂²×Q₈	—	5	1	no	—
827	C₂²×Q₈	—	5	1	no	—
828	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
829	C₂²×D₄	—	5	1	no	—
830	C₂³×C₄	—	5	1	no	—
831	C₂³×C₄	—	5	1	no	—
832	C₂³×C₄	—	5	1	no	—
833	C₂³×C₄	—	5	1	no	—
834	C₂³×C₄	—	5	1	no	—
835	C₂³×C₄	—	5	1	no	—
836	C₂³×C₄	—	5	1	no	—
837	C₂³×C₄	—	5	1	no	—
838	C₂³×C₄	—	5	1	no	—
839	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
840	C₄⋊Q₈	—	10	4	no	—
841	C₂²⋊Q₈	—	10	4	no	—
842	C₂²⋊Q₈	—	10	4	no	—
843	C₂²⋊Q₈	—	10	4	no	—
844	C₂²⋊Q₈	—	10	4	no	—
845	C₄×Q₈	—	4	2	no	—
846	C₄×Q₈	—	10	4	no	—
847	C₄×Q₈	—	20	2	no	—
848	C₄×D₄	—	5	8	no	—
849	C₄×D₄	—	10	4	no	—
850	C₄×D₄	—	10	4	no	—
851	#117	—	4	2	no	—
852	#117	—	20	2	no	—
853	C₂×C₄⋊C₄	—	5	1	no	—
854	C₂×C₄⋊C₄	—	5	1	no	—
855	C₂×C₄⋊C₄	—	5	1	no	—
856	C₂×C₄⋊C₄	—	5	1	no	—
857	C₂×C₄⋊C₄	—	5	1	no	—
858	C₂×C₄⋊C₄	—	5	1	no	—
859	C₂×C₄⋊C₄	—	5	1	no	—
860	C₂×C₄⋊C₄	—	5	1	no	—
861	C₂×C₄⋊C₄	—	5	1	no	—
862	C₂×C₄⋊C₄	—	5	1	no	—
863	C₂×C₄⋊C₄	—	5	1	no	—
864	C₂×C₄⋊C₄	—	5	1	no	—
865	C₂×C₄⋊C₄	—	5	1	no	—
866	C₂×C₄⋊C₄	—	5	1	no	—
867	C₂×C₄⋊C₄	—	5	1	no	—
868	C₂×C₄⋊C₄	—	5	1	no	—
869	C₂×C₄⋊C₄	—	5	1	no	—
870	C₂×C₄⋊C₄	—	5	1	no	—
871	C₂×C₄⋊C₄	—	5	1	no	—
872	C₂×C₄⋊C₄	—	5	1	no	—
873	C₂×C₄⋊C₄	—	5	1	no	—
874	C₂×C₄⋊C₄	—	5	1	no	—
875	C₂×C₄⋊C₄	—	5	1	no	—
876	C₂×C₄⋊C₄	—	5	1	no	—
877	C₂×C₄⋊C₄	—	5	1	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	—	10	4	no	—
889	C₂×C₄⋊C₄	—	10	4	no	—
890	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	—	5	1	no	—
902	C₂×C₂²⋊C₄	—	5	1	no	—
903	C₂×C₂²⋊C₄	—	5	1	no	—
904	C₂×C₂²⋊C₄	—	5	1	no	—
905	C₂×C₂²⋊C₄	—	5	1	no	—
906	C₂×C₂²⋊C₄	—	5	1	no	—
907	C₂×C₂²⋊C₄	—	5	1	no	—
908	C₂×C₂²⋊C₄	—	5	1	no	—
909	C₂×C₂²⋊C₄	—	5	1	no	—
910	C₂×C₂²⋊C₄	—	5	1	no	—
911	C₂×C₂²⋊C₄	—	5	1	no	—
912	C₂×C₂²⋊C₄	—	5	1	no	—
913	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
915	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
916	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
917	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
919	C₂×C₄²	—	5	1	no	—
920	C₂×C₄²	—	5	1	no	—
921	C₂×C₄²	—	5	1	no	—
922	C₂×C₄²	—	5	1	no	—
923	C₂×C₄²	—	5	1	no	—
924	C₂×C₄²	—	5	1	no	—
925	C₂×C₄²	—	5	1	no	—
926	C₂×C₄²	—	5	1	no	—
927	C₂×C₄²	—	5	1	no	—
928	C₂×C₄²	—	5	1	no	—
929	C₂×C₄²	—	5	1	no	—
930	C₂×C₄²	—	5	1	no	—
931	C₂×C₄²	—	5	1	no	—
932	C₂×C₄²	—	5	1	no	—
933	C₂×C₄²	—	5	1	no	—
934	C₂×C₄²	—	5	1	no	—
935	C₂×C₄²	—	5	1	no	—
936	C₂×C₄²	—	5	1	no	—
937	C₂×C₄²	—	5	1	no	—
938	C₂×C₄²	—	10	4	no	—
939	C₂×C₄²	—	10	4	no	—
940	C₂×C₄²	—	20	2	no	—
941	C₂×C₄²	—	20	2	no	—
942	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
943	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
944	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
945	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
946	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
947	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
948	#95	—	5	1	no	—
949	#95	—	5	1	no	—
950	#95	—	5	1	no	—
951	#95	—	5	1	no	—
952	#95	—	5	1	no	—
953	#95	—	5	1	no	—
954	#95	—	5	1	no	—
955	#95	—	5	1	no	—
956	#95	—	5	1	no	—
957	#95	—	5	1	no	—
958	#95	—	5	1	no	—
959	#95	—	5	1	no	—
960	#95	—	5	1	no	—
961	#95	—	5	1	no	—
962	#95	—	5	1	no	—
963	#95	—	5	1	no	—
964	#95	—	5	1	no	—
965	#95	—	5	1	no	—
966	#95	—	5	1	no	—
967	#95	—	5	1	no	—
968	#95	—	5	1	no	—
969	#95	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
991	#95	C₂²×D₅	1	1	yes	characteristic
992	#95	C₂²×D₅	1	1	yes	characteristic
993	#95	C₂²×D₅	1	1	yes	characteristic
994	#95	C₂²×D₅	1	1	yes	characteristic
995	#95	C₂²×D₅	1	1	yes	characteristic
996	#95	C₂²×D₅	1	1	yes	characteristic
997	#95	C₂²×D₅	1	1	yes	characteristic
998	#95	C₂²×D₅	1	1	yes	characteristic
999	#95	C₂²×D₅	1	1	yes	characteristic
1000	C₂²×C₅	—	2	2	no	—
1001	C₂²×C₅	—	2	2	no	—
1002	C₂²×C₅	—	2	2	no	—
1003	C₂²×C₅	—	4	1	no	—
1004	C₂²×C₅	—	4	1	no	—
1005	C₂²×C₅	—	4	1	no	—
1006	C₂²×C₅	—	4	1	no	—
1007	C₂²×C₅	C₂³×Q₈	1	1	yes	characteristic
1008	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1009	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1010	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1011	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1012	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1013	C₂²×C₅	#585	1	1	yes	characteristic
1014	C₂×D₅	—	2	2	no	—
1015	C₂×D₅	—	2	2	no	—
1016	C₂×D₅	—	2	2	no	—
1017	C₂×D₅	—	2	2	no	—
1018	C₂×D₅	—	2	2	no	—
1019	C₂×D₅	—	2	2	no	—
1020	C₂×D₅	#533	1	4	yes	—
1021	C₄×C₅	—	2	2	no	—
1022	C₄×C₅	—	2	2	no	—
1023	C₄×C₅	—	2	2	no	—
1024	C₄×C₅	—	2	2	no	—
1025	C₄×C₅	—	4	1	no	—
1026	C₄×C₅	—	4	1	no	—
1027	C₄×C₅	—	4	1	no	—
1028	C₄×C₅	—	4	1	no	—
1029	C₄×C₅	—	4	1	no	—
1030	C₄×C₅	—	4	1	no	—
1031	C₄×C₅	—	4	1	no	—
1032	C₄×C₅	—	4	1	no	—
1033	C₄×C₅	—	4	1	no	—
1034	C₄×C₅	#554	1	4	yes	—
1035	Dic₅	—	2	2	no	—
1036	Dic₅	—	2	2	no	—
1037	Dic₅	—	2	2	no	—
1038	Dic₅	—	2	2	no	—
1039	Dic₅	—	2	2	no	—
1040	Dic₅	—	2	2	no	—
1041	Dic₅	—	4	1	no	—
1042	Dic₅	—	4	1	no	—
1043	Dic₅	—	4	1	no	—
1044	Dic₅	—	4	1	no	—
1045	Dic₅	—	4	1	no	—
1046	Dic₅	—	4	1	no	—
1047	Dic₅	—	4	1	no	—
1048	Dic₅	—	4	1	no	—
1049	Dic₅	#529	1	4	yes	—
1050	C₂⁴	—	5	1	no	—
1051	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1052	C₂×Q₈	—	2	2	no	—
1053	C₂×Q₈	—	2	2	no	—
1054	C₂×Q₈	—	4	1	no	—
1055	C₂×Q₈	—	10	2	no	—
1056	C₂×Q₈	—	10	2	no	—
1057	C₂×Q₈	—	10	2	no	—
1058	C₂×Q₈	—	10	2	no	—
1059	C₂×Q₈	—	10	2	no	—
1060	C₂×Q₈	—	20	1	no	—
1061	C₂×D₄	—	5	4	no	—
1062	C₂×D₄	—	10	2	no	—
1063	C₂×D₄	—	10	2	no	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	—	2	2	no	—
1066	C₂²×C₄	—	5	1	no	—
1067	C₂²×C₄	—	5	1	no	—
1068	C₂²×C₄	—	5	1	no	—
1069	C₂²×C₄	—	5	1	no	—
1070	C₂²×C₄	—	5	1	no	—
1071	C₂²×C₄	—	5	1	no	—
1072	C₂²×C₄	—	5	1	no	—
1073	C₂²×C₄	—	5	4	no	—
1074	C₂²×C₄	—	5	4	no	—
1075	C₂²×C₄	—	5	1	no	—
1076	C₂²×C₄	—	5	1	no	—
1077	C₂²×C₄	—	5	1	no	—
1078	C₂²×C₄	—	5	1	no	—
1079	C₂²×C₄	—	5	1	no	—
1080	C₂²×C₄	—	5	1	no	—
1081	C₂²×C₄	—	5	1	no	—
1082	C₂²×C₄	—	5	1	no	—
1083	C₂²×C₄	—	10	2	no	—
1084	C₂²×C₄	—	10	2	no	—
1085	C₂²×C₄	—	10	2	no	—
1086	C₂²×C₄	—	10	2	no	—
1087	C₂²×C₄	—	10	2	no	—
1088	C₂²×C₄	—	10	2	no	—
1089	C₂²×C₄	—	10	2	no	—
1090	C₂²×C₄	—	10	2	no	—
1091	C₂²×C₄	—	10	2	no	—
1092	C₂²×C₄	—	10	2	no	—
1093	C₂²×C₄	—	10	2	no	—
1094	C₂²×C₄	—	10	2	no	—
1095	C₂²×C₄	—	10	2	no	—
1096	C₂²×C₄	—	10	2	no	—
1097	C₂²×C₄	—	10	2	no	—
1098	C₂²×C₄	—	10	2	no	—
1099	C₂²×C₄	—	10	2	no	—
1100	C₂²×C₄	—	20	1	no	—
1101	C₂²×C₄	—	20	1	no	—
1102	C₂²×C₄	—	20	1	no	—
1103	C₂²×C₄	—	20	1	no	—
1104	C₂²×C₄	—	20	1	no	—
1105	C₂²×C₄	—	20	1	no	—
1106	C₂²×C₄	—	20	1	no	—
1107	C₂²×C₄	—	20	1	no	—
1108	C₂²×C₄	Q₈×D₅	1	4	yes	—
1109	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	2	2	no	—
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	4	1	no	—
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	5	4	no	—
1135	C₄⋊C₄	—	5	4	no	—
1136	C₄⋊C₄	—	10	2	no	—
1137	C₄⋊C₄	—	10	2	no	—
1138	C₄⋊C₄	—	10	2	no	—
1139	C₄⋊C₄	—	10	2	no	—
1140	C₄⋊C₄	—	10	2	no	—
1141	C₄⋊C₄	—	10	2	no	—
1142	C₄⋊C₄	—	10	2	no	—
1143	C₄⋊C₄	—	10	2	no	—
1144	C₄⋊C₄	—	10	2	no	—
1145	C₄⋊C₄	—	10	2	no	—
1146	C₄⋊C₄	—	10	2	no	—
1147	C₄⋊C₄	—	10	2	no	—
1148	C₄⋊C₄	—	10	2	no	—
1149	C₄⋊C₄	—	10	2	no	—
1150	C₄⋊C₄	—	10	2	no	—
1151	C₄⋊C₄	—	10	2	no	—
1152	C₄⋊C₄	—	10	2	no	—
1153	C₄⋊C₄	—	10	2	no	—
1154	C₄⋊C₄	—	10	2	no	—
1155	C₄⋊C₄	—	10	2	no	—
1156	C₄⋊C₄	—	10	2	no	—
1157	C₄⋊C₄	—	10	2	no	—
1158	C₄⋊C₄	—	20	1	no	—
1159	C₄⋊C₄	—	20	1	no	—
1160	C₄⋊C₄	—	20	1	no	—
1161	C₄⋊C₄	—	20	1	no	—
1162	C₄⋊C₄	—	20	1	no	—
1163	C₄⋊C₄	—	20	1	no	—
1164	C₄⋊C₄	—	20	1	no	—
1165	C₄⋊C₄	—	20	1	no	—
1166	C₄⋊C₄	—	20	1	no	—
1167	C₄⋊C₄	—	20	1	no	—
1168	C₄⋊C₄	—	20	1	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	2	2	no	—
1171	C₂²⋊C₄	—	2	2	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	4	1	no	—
1175	C₂²⋊C₄	—	5	4	no	—
1176	C₂²⋊C₄	—	5	4	no	—
1177	C₂²⋊C₄	—	5	4	no	—
1178	C₂²⋊C₄	—	10	2	no	—
1179	C₂²⋊C₄	—	10	2	no	—
1180	C₂²⋊C₄	—	10	2	no	—
1181	C₂²⋊C₄	—	10	2	no	—
1182	C₂²⋊C₄	—	10	2	no	—
1183	C₂²⋊C₄	—	10	2	no	—
1184	C₂²⋊C₄	—	20	1	no	—
1185	C₂²⋊C₄	—	20	1	no	—
1186	C₂²⋊C₄	—	20	1	no	—
1187	C₄²	—	2	2	no	—
1188	C₄²	—	2	2	no	—
1189	C₄²	—	2	2	no	—
1190	C₄²	—	2	2	no	—
1191	C₄²	—	2	2	no	—
1192	C₄²	—	2	2	no	—
1193	C₄²	—	5	4	no	—
1194	C₄²	—	5	4	no	—
1195	C₄²	—	10	2	no	—
1196	C₄²	—	10	2	no	—
1197	C₄²	—	10	2	no	—
1198	C₄²	—	10	2	no	—
1199	C₄²	—	10	2	no	—
1200	C₄²	—	10	2	no	—
1201	C₄²	—	10	2	no	—
1202	C₄²	—	10	2	no	—
1203	C₄²	—	10	2	no	—
1204	C₄²	—	10	2	no	—
1205	C₄²	—	10	2	no	—
1206	C₄²	—	10	2	no	—
1207	C₄²	—	20	1	no	—
1208	C₄²	—	20	1	no	—
1209	C₄²	—	20	1	no	—
1210	C₄²	—	20	1	no	—
1211	C₄²	—	20	1	no	—
1212	C₂×C₅	—	4	2	no	—
1213	C₂×C₅	C₂×#529	1	1	yes	characteristic
1214	C₂×C₅	C₂×#533	1	1	yes	characteristic
1215	C₂×C₅	#3460	1	1	yes	characteristic
1216	C₂×C₅	C₂×#554	1	1	yes	characteristic
1217	C₂×C₅	#3475	1	1	yes	characteristic
1218	C₂×C₅	Q₈×#41	1	1	yes	characteristic
1219	C₂×C₅	#3481	1	1	yes	characteristic
1220	D₅	—	2	4	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	5	2	no	—
1228	C₂³	—	5	2	no	—
1229	C₂³	—	5	2	no	—
1230	C₂³	—	10	1	no	—
1231	C₂³	—	10	1	no	—
1232	C₂³	—	10	1	no	—
1233	C₂³	—	10	1	no	—
1234	C₂³	C₂×Q₈×D₅	1	2	yes	—
1235	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1236	Q₈	—	4	4	no	—
1237	Q₈	—	20	4	no	—
1238	Q₈	—	20	4	no	—
1239	D₄	—	10	8	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	8	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	5	2	no	—
1277	C₂×C₄	—	5	2	no	—
1278	C₂×C₄	—	5	2	no	—
1279	C₂×C₄	—	5	2	no	—
1280	C₂×C₄	—	5	2	no	—
1281	C₂×C₄	—	5	2	no	—
1282	C₂×C₄	—	5	2	no	—
1283	C₂×C₄	—	5	2	no	—
1284	C₂×C₄	—	5	2	no	—
1285	C₂×C₄	—	10	8	no	—
1286	C₂×C₄	—	10	1	no	—
1287	C₂×C₄	—	10	1	no	—
1288	C₂×C₄	—	10	1	no	—
1289	C₂×C₄	—	10	1	no	—
1290	C₂×C₄	—	10	1	no	—
1291	C₂×C₄	—	10	1	no	—
1292	C₂×C₄	—	10	1	no	—
1293	C₂×C₄	—	10	1	no	—
1294	C₂×C₄	—	10	1	no	—
1295	C₂×C₄	—	10	1	no	—
1296	C₂×C₄	—	10	1	no	—
1297	C₂×C₄	—	10	1	no	—
1298	C₂×C₄	—	10	8	no	—
1299	C₂×C₄	—	10	1	no	—
1300	C₂×C₄	—	10	1	no	—
1301	C₂×C₄	—	10	1	no	—
1302	C₂×C₄	—	10	1	no	—
1303	C₂×C₄	—	10	1	no	—
1304	C₂×C₄	—	10	1	no	—
1305	C₂×C₄	—	10	1	no	—
1306	C₂×C₄	—	10	1	no	—
1307	C₂×C₄	—	10	1	no	—
1308	C₂×C₄	—	10	1	no	—
1309	C₂×C₄	—	10	1	no	—
1310	C₂×C₄	—	10	1	no	—
1311	C₂×C₄	—	10	1	no	—
1312	C₂×C₄	—	10	1	no	—
1313	C₂×C₄	—	10	1	no	—
1314	C₂×C₄	—	10	1	no	—
1315	C₂×C₄	—	10	1	no	—
1316	C₂×C₄	—	10	1	no	—
1317	C₂×C₄	—	10	1	no	—
1318	C₂×C₄	—	10	1	no	—
1319	C₂×C₄	—	10	1	no	—
1320	C₂×C₄	—	10	1	no	—
1321	C₂×C₄	—	10	1	no	—
1322	C₂×C₄	—	10	1	no	—
1323	C₂×C₄	—	20	4	no	—
1324	C₂×C₄	—	20	4	no	—
1325	C₂×C₄	—	20	4	no	—
1326	C₂×C₄	—	20	4	no	—
1327	C₂×C₄	—	20	4	no	—
1328	C₂×C₄	—	20	4	no	—
1329	C₂×C₄	—	20	4	no	—
1330	C₂×C₄	#4144	1	2	yes	—
1331	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1332	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1333	C₂×C₄	D₅×#41	1	2	yes	—
1334	C₂×C₄	D₅×#41	1	2	yes	—
1335	C₂×C₄	D₅×#41	1	2	yes	—
1336	C₂×C₄	D₅×#41	1	2	yes	—
1337	C₅	#34772	1	1	yes	characteristic, complemented, Sylow
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	5	4	no	—
1346	C₂²	—	10	2	no	—
1347	C₂²	—	10	2	no	—
1348	C₂²	—	10	2	no	—
1349	C₂²	—	10	2	no	—
1350	C₂²	—	10	2	no	—
1351	C₂²	—	10	2	no	—
1352	C₂²	C₂×#4144	1	1	yes	characteristic
1353	C₂²	C₂²×Q₈×D₅	1	1	yes	characteristic
1354	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1355	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1356	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1357	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1358	C₂²	#66283	1	1	yes	characteristic
1359	C₄	—	2	2	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	5	4	no	—
1373	C₄	—	10	2	no	—
1374	C₄	—	10	2	no	—
1375	C₄	—	10	2	no	—
1376	C₄	—	10	2	no	—
1377	C₄	—	10	2	no	—
1378	C₄	—	10	2	no	—
1379	C₄	—	20	1	no	—
1380	C₄	—	20	1	no	—
1381	C₄	—	20	1	no	—
1382	C₄	—	20	1	no	—
1383	C₄	—	20	1	no	—
1384	C₄	—	20	1	no	—
1385	C₄	—	20	1	no	—
1386	C₄	—	20	1	no	—
1387	C₄	#65970	1	4	yes	—
1388	C₂	—	4	2	no	—
1389	C₂	—	10	4	no	—
1390	C₂	C₂×#65970	1	1	yes	characteristic
1391	C₂	#10617939	1	1	yes	characteristic
1392	C₂	D₅×#529	1	1	yes	characteristic
1393	C₂	#10618052	1	1	yes	characteristic
1394	C₂	#10618138	1	1	yes	characteristic
1395	C₂	D₅×#533	1	1	yes	characteristic
1396	C₂	#10618178	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Frattini	C₂³	C₂⁴×D₅
Fitting	C₅×#2396	C₂
prime radical	C₂²×C₂²⋊D₅	C₂³
hypercenter	#2396	D₅
hypocenter	C₅	#34772
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₄ ◁ #2396

Complements

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

N	H ≅ G/N	type
1. C₅×#2396	C₂	semidirect
2. C₄×#4092	C₂	semidirect
3. C₄×#4090	C₂	semidirect
5. #10613955	C₂	semidirect
6. #10610085	C₂	semidirect
7. #10609889	C₂	semidirect
8. #10609766	C₂	semidirect
10. #10609687	C₂	semidirect
11. #10609505	C₂	semidirect
12. #10609499	C₂	semidirect
13. #10609496	C₂	semidirect
15. #10609041	C₂	semidirect
16. #10609036	C₂	semidirect
18. #10608914	C₂	semidirect
19. #10608905	C₂	semidirect
21. #10608524	C₂	semidirect
22. C₄×#4042	C₂	semidirect
23. C₄×#4042	C₂	semidirect
24. C₄×D₅×C₄⋊C₄	C₂	semidirect
25. #10605401	C₂	semidirect
26. #10605401	C₂	semidirect
27. #10605350	C₂	semidirect
29. #10605211	C₂	semidirect
30. C₄×#4024	C₂	semidirect
234. C₄×C₂²⋊D₅	Q₈	semidirect
381. #2396	D₅	semidirect
1337. C₅	#34772	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2396	2
C₄×#4092	2
C₄×#4090	2
#10613999	2
#10613955	2
#10610085	2
#10609889	2
#10609766	2
#10609760	2
#10609687	2
#10609505	2
#10609499	2
#10609496	2
#10609151	2
#10609041	2
#10609036	2
#10609016	2
#10608914	2
#10608905	2
#10608597	2
#10608524	2
C₄×#4042	2
C₄×D₅×C₄⋊C₄	2
#10605401	2
#10605350	2
#10605293	2
#10605211	2
C₄×#4024	2
C₄×#4027	2
#34772	5