Subgroups — #12272467

Order 1280.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×C₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
2	#10614516	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614515	C₂	1	1	yes	maximal, characteristic
4	#10614229	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614203	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#65222	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄²×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic
8	#10608376	C₂	1	1	yes	maximal, characteristic, complemented
9	#10608293	C₂	1	1	yes	maximal, characteristic, complemented
10	#10607987	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607840	C₂	1	1	yes	maximal, characteristic, complemented
12	#10607179	C₂	1	1	yes	maximal, characteristic, complemented
13	#10607176	C₂	1	1	yes	maximal, characteristic, complemented
14	#10607023	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607022	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606193	C₂	1	1	yes	maximal, characteristic, complemented
17	#10606171	C₂	1	1	yes	maximal, characteristic, complemented
18	#10606154	C₂	1	1	yes	maximal, characteristic
19	#10606152	C₂	1	1	yes	maximal, characteristic
20	#10605680	C₂	1	1	yes	maximal, characteristic
21	#10605669	C₂	1	1	yes	maximal, characteristic, complemented
22	#10605543	C₂	1	1	yes	maximal, characteristic, complemented
23	#10605542	C₂	1	1	yes	maximal, characteristic, complemented
24	#10605528	C₂	1	1	yes	maximal, characteristic, complemented
25	#10605464	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605462	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605432	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605299	C₂	1	1	yes	maximal, characteristic
29	#10605299	C₂	1	1	yes	maximal, characteristic
30	#10605178	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605178	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
34	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
35	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	C₂²×#683	C₂²	1	1	yes	characteristic
39	C₂²×#683	C₂²	1	1	yes	characteristic
40	C₂×#4042	C₂²	1	1	yes	characteristic
41	C₂×#4035	C₂²	1	1	yes	characteristic
42	C₂×#4024	C₂²	1	1	yes	characteristic
43	C₂×#4024	C₂²	1	1	yes	characteristic
44	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
45	C₅×#391	C₂²	1	1	yes	characteristic
46	C₅×#389	C₂²	1	1	yes	characteristic
47	C₅×#387	C₂²	1	1	yes	characteristic
48	C₅×#387	C₂²	1	1	yes	characteristic
49	C₅×#385	C₂²	1	1	yes	characteristic
50	C₅×#385	C₂²	1	1	yes	characteristic
51	C₅×#380	C₂²	1	1	yes	characteristic
52	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
53	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
54	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	#65520	C₂²	1	1	yes	characteristic
58	#65518	C₂²	1	1	yes	characteristic
59	#65518	C₂²	1	1	yes	characteristic
60	#65518	C₂²	1	1	yes	characteristic
61	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
62	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
63	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
64	C₂×#3963	C₂²	1	1	yes	characteristic
65	C₂×#3963	C₂²	1	1	yes	characteristic
66	C₂×#3963	C₂²	1	1	yes	characteristic
67	C₂×#3963	C₂²	1	1	yes	characteristic
68	#65283	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	#65281	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	#65273	C₂²	1	1	yes	characteristic
77	#65273	C₂²	1	1	yes	characteristic
78	#65273	C₂²	1	1	yes	characteristic
79	#65272	C₂²	1	1	yes	characteristic
80	#65272	C₂²	1	1	yes	characteristic
81	#65272	C₂²	1	1	yes	characteristic
82	#65271	C₂²	1	1	yes	characteristic
83	#65271	C₂²	1	1	yes	characteristic
84	#65270	C₂²	1	1	yes	characteristic
85	#65270	C₂²	1	1	yes	characteristic
86	#65269	C₂²	1	1	yes	characteristic
87	#65269	C₂²	1	1	yes	characteristic
88	#65269	C₂²	1	1	yes	characteristic
89	#65269	C₂²	1	1	yes	characteristic
90	#65268	C₂²	1	1	yes	characteristic
91	#65268	C₂²	1	1	yes	characteristic
92	#65268	C₂²	1	1	yes	characteristic
93	#65267	C₂²	1	1	yes	characteristic
94	#65267	C₂²	1	1	yes	characteristic
95	#65267	C₂²	1	1	yes	characteristic
96	#65261	C₂²	1	1	yes	characteristic
97	#65261	C₂²	1	1	yes	characteristic
98	#65261	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	#65247	C₂²	1	1	yes	characteristic
103	#65247	C₂²	1	1	yes	characteristic
104	#65247	C₂²	1	1	yes	characteristic
105	#65247	C₂²	1	1	yes	characteristic
106	#65239	C₂²	1	1	yes	characteristic
107	#65239	C₂²	1	1	yes	characteristic
108	#65235	C₂²	1	1	yes	characteristic
109	#65235	C₂²	1	1	yes	characteristic
110	#65235	C₂²	1	1	yes	characteristic
111	#65235	C₂²	1	1	yes	characteristic
112	#65235	C₂²	1	1	yes	characteristic
113	#65235	C₂²	1	1	yes	characteristic
114	#65231	C₂²	1	1	yes	characteristic
115	#65231	C₂²	1	1	yes	characteristic
116	#65229	C₂²	1	1	yes	characteristic
117	#65229	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	#65222	C₂²	1	1	yes	characteristic
124	#65222	C₂²	1	1	yes	characteristic
125	#65222	C₂²	1	1	yes	characteristic
126	#65222	C₂²	1	1	yes	characteristic
127	#65222	C₂²	1	1	yes	characteristic
128	#65222	C₂²	1	1	yes	characteristic
129	#65222	C₂²	1	1	yes	characteristic
130	#65222	C₂²	1	1	yes	characteristic
131	#65222	C₂²	1	1	yes	characteristic
132	#65222	C₂²	1	1	yes	characteristic
133	#65222	C₂²	1	1	yes	characteristic
134	#65222	C₂²	1	1	yes	characteristic
135	#65222	C₂²	1	1	yes	characteristic
136	#65222	C₂²	1	1	yes	characteristic
137	#65222	C₂²	1	1	yes	characteristic
138	#65222	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	C₄²×Dic₅	C₂²	1	1	yes	characteristic
143	#65218	C₂²	1	1	yes	characteristic
144	#65218	C₂²	1	1	yes	characteristic
145	#65217	C₂²	1	1	yes	characteristic
146	#65217	C₂²	1	1	yes	characteristic
147	#64965	C₂²	1	1	yes	characteristic
148	#64962	C₂²	1	1	yes	characteristic
149	#64957	C₂²	1	1	yes	characteristic
150	#64957	C₂²	1	1	yes	characteristic
151	#64957	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	#64953	C₂²	1	1	yes	characteristic
156	#64953	C₂²	1	1	yes	characteristic
157	#64948	C₂²	1	1	yes	characteristic
158	#64947	C₂²	1	1	yes	characteristic
159	#64947	C₂²	1	1	yes	characteristic
160	#64947	C₂²	1	1	yes	characteristic
161	#64946	C₂²	1	1	yes	characteristic
162	#64946	C₂²	1	1	yes	characteristic
163	#64944	C₂²	1	1	yes	characteristic
164	#64944	C₂²	1	1	yes	characteristic
165	#64943	C₂²	1	1	yes	characteristic
166	#64943	C₂²	1	1	yes	characteristic
167	#64942	C₂²	1	1	yes	characteristic
168	#64942	C₂²	1	1	yes	characteristic
169	#64942	C₂²	1	1	yes	characteristic
170	#64941	C₂²	1	1	yes	characteristic
171	#64941	C₂²	1	1	yes	characteristic
172	#64940	C₂²	1	1	yes	characteristic
173	#64940	C₂²	1	1	yes	characteristic
174	#64939	C₂²	1	1	yes	characteristic
175	#64939	C₂²	1	1	yes	characteristic
176	#64939	C₂²	1	1	yes	characteristic
177	#64936	C₂²	1	1	yes	characteristic
178	#64936	C₂²	1	1	yes	characteristic
179	#64936	C₂²	1	1	yes	characteristic
180	#64936	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	#35018	—	5	1	no	maximal, Sylow
188	C₂²×C₅×Q₈	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	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
193	C₂³×Dic₅	C₂³	1	1	yes	characteristic
194	C₂³×Dic₅	C₂³	1	1	yes	characteristic
195	C₂³×Dic₅	C₂³	1	1	yes	characteristic
196	C₂³×Dic₅	C₂³	1	1	yes	characteristic
197	C₂²×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	C₅×C₂²⋊Q₈	—	2	4	no	—
203	C₄×C₅×Q₈	—	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₂²⋊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×C₄²×C₅	—	4	2	no	—
218	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₅	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×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	C₄×C₂²⋊D₅	—	2	4	no	—
230	C₄×C₂²⋊D₅	—	2	4	no	—
231	C₄×C₂²⋊D₅	Q₈	1	8	yes	complemented
232	C₂×#685	C₂³	1	1	yes	characteristic
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×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×#683	—	2	4	no	—
250	C₂×#683	—	4	2	no	—
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×#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×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	#4042	—	4	2	no	—
292	#4035	—	4	2	no	—
293	#4024	—	2	4	no	—
294	#4024	—	2	4	no	—
295	C₄²×D₅	—	4	2	no	—
296	C₅×#95	C₂³	1	1	yes	characteristic
297	C₅×#95	C₂³	1	1	yes	characteristic
298	C₅×#95	C₂³	1	1	yes	characteristic
299	C₅×#95	C₂³	1	1	yes	characteristic
300	C₅×#95	C₂³	1	1	yes	characteristic
301	C₅×#95	C₂³	1	1	yes	characteristic
302	C₅×#95	C₂³	1	1	yes	characteristic
303	C₅×#95	C₂³	1	1	yes	characteristic
304	C₅×#95	C₂³	1	1	yes	characteristic
305	C₅×#95	C₂³	1	1	yes	characteristic
306	#3963	C₂³	1	1	yes	characteristic
307	#3963	C₂³	1	1	yes	characteristic
308	#3963	C₂³	1	1	yes	characteristic
309	#3963	C₂³	1	1	yes	characteristic
310	#3963	C₂³	1	1	yes	characteristic
311	#3963	C₂³	1	1	yes	characteristic
312	#3963	C₂³	1	1	yes	characteristic
313	#3963	C₂³	1	1	yes	characteristic
314	#3963	C₂³	1	1	yes	characteristic
315	#3963	C₂³	1	1	yes	characteristic
316	#3963	C₂³	1	1	yes	characteristic
317	#3963	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	#2864	—	5	1	no	—
357	#2863	—	5	1	no	—
358	#2855	—	5	1	no	—
359	#2851	—	5	1	no	—
360	#2667	—	5	1	no	—
361	#2666	—	5	1	no	—
362	#2666	—	5	1	no	—
363	#2665	—	5	1	no	—
364	#2590	—	5	1	no	—
365	#2589	—	5	1	no	—
366	#2588	—	5	1	no	—
367	#2587	—	5	1	no	—
368	#2583	—	5	1	no	—
369	#2579	—	5	1	no	—
370	#2564	—	5	1	no	—
371	#2549	—	5	1	no	—
372	#2522	—	5	1	no	—
373	#2520	—	5	1	no	—
374	#2505	—	5	1	no	—
375	#2473	—	5	1	no	—
376	#2465	—	5	1	no	—
377	#2462	—	5	1	no	—
378	#2450	—	5	1	no	—
379	#2449	—	5	1	no	—
380	#2329	—	5	1	no	—
381	#2329	—	5	1	no	—
382	#2318	—	5	1	no	—
383	#2318	—	5	1	no	—
384	C₄×C₂²⋊Q₈	D₅	1	1	yes	characteristic, complemented
385	C₂×#387	—	5	1	no	—
386	C₄²×D₄	—	5	1	no	—
387	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
388	C₂³×D₅	C₂⁴	1	1	yes	characteristic
389	C₂×C₅×Q₈	—	2	2	no	—
390	C₂×C₅×Q₈	—	4	1	no	—
391	C₂×C₅×Q₈	—	4	1	no	—
392	C₂²×C₄×C₅	—	2	2	no	—
393	C₂²×C₄×C₅	—	2	2	no	—
394	C₂²×C₄×C₅	—	4	1	no	—
395	C₂²×C₄×C₅	—	4	1	no	—
396	C₂²×C₄×C₅	—	4	1	no	—
397	C₂²×C₄×C₅	—	4	1	no	—
398	C₂²×C₄×C₅	—	4	1	no	—
399	C₂²×C₄×C₅	C₂×Q₈	1	4	yes	—
400	C₂²×C₄×C₅	#41	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	—	4	1	no	—
423	C₂²×Dic₅	—	4	1	no	—
424	C₂²×Dic₅	—	4	1	no	—
425	C₂²×Dic₅	—	4	1	no	—
426	C₂²×Dic₅	—	4	1	no	—
427	C₂²×Dic₅	—	4	1	no	—
428	C₂²×Dic₅	—	4	1	no	—
429	C₂²×Dic₅	—	4	1	no	—
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	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	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	1	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	C₂×Q₈	1	4	yes	—
454	C₂×Dic₁₀	—	2	2	no	—
455	C₂×Dic₁₀	—	2	2	no	—
456	C₂×Dic₁₀	—	4	1	no	—
457	C₂×Dic₁₀	—	4	1	no	—
458	C₂×Dic₁₀	—	4	1	no	—
459	C₂×Dic₁₀	—	4	1	no	—
460	C₅×C₄⋊C₄	—	2	2	no	—
461	C₅×C₄⋊C₄	—	2	2	no	—
462	C₅×C₄⋊C₄	—	2	2	no	—
463	C₅×C₄⋊C₄	—	2	2	no	—
464	C₅×C₄⋊C₄	—	2	2	no	—
465	C₅×C₄⋊C₄	—	4	1	no	—
466	C₅×C₄⋊C₄	—	4	1	no	—
467	C₅×C₄⋊C₄	—	4	1	no	—
468	C₅×C₄⋊C₄	—	4	1	no	—
469	C₅×C₂²⋊C₄	—	2	2	no	—
470	C₅×C₂²⋊C₄	—	2	2	no	—
471	C₅×C₂²⋊C₄	—	2	2	no	—
472	C₅×C₂²⋊C₄	—	2	2	no	—
473	C₄²×C₅	—	2	2	no	—
474	C₄²×C₅	—	2	2	no	—
475	C₄²×C₅	—	4	1	no	—
476	C₄²×C₅	—	4	1	no	—
477	C₄²×C₅	—	4	1	no	—
478	C₄²×C₅	—	4	1	no	—
479	C₄²×C₅	—	4	1	no	—
480	C₄²×C₅	—	4	1	no	—
481	C₂²⋊Dic₅	—	2	2	no	—
482	C₂²⋊Dic₅	C₂×Q₈	1	4	yes	—
483	C₂²⋊Dic₅	#41	1	4	yes	—
484	#685	—	2	2	no	—
485	#685	—	2	2	no	—
486	#685	—	4	1	no	—
487	#685	—	4	1	no	—
488	#685	—	4	1	no	—
489	#685	—	4	1	no	—
490	#685	—	4	1	no	—
491	#685	—	4	1	no	—
492	#685	—	4	1	no	—
493	#685	—	4	1	no	—
494	#685	C₂×Q₈	1	4	yes	—
495	C₄⋊Dic₅	—	2	2	no	—
496	C₄⋊Dic₅	—	2	2	no	—
497	C₄⋊Dic₅	—	4	1	no	—
498	C₄⋊Dic₅	—	4	1	no	—
499	C₄⋊Dic₅	—	4	1	no	—
500	C₄⋊Dic₅	—	4	1	no	—
501	#683	—	2	2	no	—
502	#683	—	2	2	no	—
503	#683	—	2	2	no	—
504	#683	—	2	2	no	—
505	#683	—	2	2	no	—
506	#683	—	2	2	no	—
507	#683	—	2	2	no	—
508	#683	—	2	2	no	—
509	#683	—	2	2	no	—
510	#683	—	2	2	no	—
511	#683	—	2	2	no	—
512	#683	—	2	2	no	—
513	#683	—	4	1	no	—
514	#683	—	4	1	no	—
515	#683	—	4	1	no	—
516	#683	—	4	1	no	—
517	#683	—	4	1	no	—
518	#683	—	4	1	no	—
519	#683	—	4	1	no	—
520	#683	—	4	1	no	—
521	#683	—	4	1	no	—
522	#683	—	4	1	no	—
523	#683	—	4	1	no	—
524	#683	—	4	1	no	—
525	#683	—	4	1	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	C₂×Q₈	1	4	yes	—
532	C₄×Dic₅	—	2	2	no	—
533	C₄×Dic₅	—	2	2	no	—
534	C₄×Dic₅	—	2	2	no	—
535	C₄×Dic₅	—	4	1	no	—
536	C₄×Dic₅	—	4	1	no	—
537	C₄×Dic₅	—	4	1	no	—
538	C₄×Dic₅	—	4	1	no	—
539	C₄×Dic₅	—	4	1	no	—
540	C₄×Dic₅	C₂×Q₈	1	4	yes	—
541	C₂×#125	—	5	1	no	—
542	C₂×C₂²⋊Q₈	—	5	1	no	—
543	C₂×C₂²⋊Q₈	—	5	1	no	—
544	C₂×C₂²⋊Q₈	—	5	1	no	—
545	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
546	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
547	C₂×C₄×D₄	—	5	1	no	—
548	C₂×C₄×D₄	—	5	1	no	—
549	C₂×C₄×D₄	—	5	1	no	—
550	C₂²×C₄⋊C₄	—	5	1	no	—
551	C₂²×C₄⋊C₄	—	5	1	no	—
552	C₂²×C₄²	—	5	1	no	—
553	C₂²×C₄²	C₂×D₅	1	1	yes	characteristic
554	#400	—	5	1	no	—
555	#400	—	5	1	no	—
556	#400	—	5	1	no	—
557	#400	—	5	1	no	—
558	#400	—	5	1	no	—
559	#400	—	5	1	no	—
560	#399	—	5	1	no	—
561	#399	—	5	1	no	—
562	#398	—	5	1	no	—
563	#398	—	5	1	no	—
564	#398	—	5	1	no	—
565	#398	—	5	1	no	—
566	#398	—	5	1	no	—
567	#398	—	5	1	no	—
568	#398	—	5	1	no	—
569	#398	—	5	1	no	—
570	#398	—	5	1	no	—
571	#398	—	5	1	no	—
572	#398	—	5	1	no	—
573	#398	—	5	1	no	—
574	#396	—	5	1	no	—
575	#396	—	5	1	no	—
576	#396	—	5	1	no	—
577	#396	—	5	1	no	—
578	#395	—	5	1	no	—
579	#395	—	5	1	no	—
580	#395	—	5	1	no	—
581	#395	—	5	1	no	—
582	#395	—	5	1	no	—
583	#395	—	5	1	no	—
584	#393	—	5	1	no	—
585	#393	—	5	1	no	—
586	#391	—	5	1	no	—
587	#391	—	5	1	no	—
588	#391	—	5	1	no	—
589	#391	—	5	1	no	—
590	#391	—	5	1	no	—
591	#391	—	5	1	no	—
592	#391	—	5	1	no	—
593	#391	C₂×D₅	1	1	yes	characteristic
594	#389	—	5	1	no	—
595	#389	—	5	1	no	—
596	#389	—	5	1	no	—
597	#389	—	5	1	no	—
598	#389	—	5	1	no	—
599	#389	—	5	1	no	—
600	#389	—	5	1	no	—
601	#389	—	5	1	no	—
602	#389	—	5	1	no	—
603	#389	—	5	1	no	—
604	#389	—	5	1	no	—
605	#389	—	5	1	no	—
606	#389	—	5	1	no	—
607	#389	C₂×D₅	1	1	yes	characteristic
608	#388	—	5	1	no	—
609	#388	—	5	1	no	—
610	#388	—	5	1	no	—
611	#388	—	5	1	no	—
612	#387	—	5	1	no	—
613	#387	—	5	1	no	—
614	#387	—	5	1	no	—
615	#387	—	5	1	no	—
616	#387	—	5	1	no	—
617	#387	—	5	1	no	—
618	#387	—	5	1	no	—
619	#387	—	5	1	no	—
620	#387	—	5	1	no	—
621	#387	—	5	1	no	—
622	#387	—	5	1	no	—
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	—	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	C₂×D₅	1	1	yes	characteristic
643	#387	C₂×D₅	1	1	yes	characteristic
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	#385	—	5	1	no	—
661	#385	—	5	1	no	—
662	#385	C₂×D₅	1	1	yes	characteristic
663	#385	C₂×D₅	1	1	yes	characteristic
664	#383	—	5	1	no	—
665	#383	—	5	1	no	—
666	#382	—	5	1	no	—
667	#382	—	5	1	no	—
668	#382	—	5	1	no	—
669	#381	—	5	1	no	—
670	#381	—	5	1	no	—
671	#380	—	5	1	no	—
672	#380	—	5	1	no	—
673	#380	—	5	1	no	—
674	#380	—	5	1	no	—
675	#380	—	5	1	no	—
676	#380	C₂×D₅	1	1	yes	characteristic
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	C₂×D₅	1	1	yes	characteristic
681	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
682	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
683	C₄×C₂²⋊C₄	—	5	1	no	—
684	C₄×C₂²⋊C₄	—	5	1	no	—
685	C₄×C₂²⋊C₄	—	5	1	no	—
686	C₄×C₂²⋊C₄	—	5	1	no	—
687	C₄×C₂²⋊C₄	—	5	1	no	—
688	C₄×C₂²⋊C₄	—	5	1	no	—
689	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
690	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
691	C₂×#95	—	5	1	no	—
692	C₂×#95	—	5	1	no	—
693	C₂×#95	—	5	1	no	—
694	C₂×#95	—	5	1	no	—
695	C₄³	—	5	1	no	—
696	C₂³×C₅	—	2	1	no	—
697	C₂³×C₅	—	2	1	no	—
698	C₂³×C₅	—	2	1	no	—
699	C₂³×C₅	—	2	1	no	—
700	C₂³×C₅	C₂²×Q₈	1	2	yes	—
701	C₂³×C₅	C₂×#41	1	2	yes	—
702	C₂³×C₅	C₂×#41	1	2	yes	—
703	C₂³×C₅	C₂⁵	1	1	yes	characteristic
704	C₂²×D₅	—	2	1	no	—
705	C₂²×D₅	—	2	1	no	—
706	C₂²×D₅	—	2	1	no	—
707	C₂²×D₅	—	2	1	no	—
708	C₂²×D₅	—	2	1	no	—
709	C₂²×D₅	—	2	1	no	—
710	C₂²×D₅	C₂²×Q₈	1	2	yes	—
711	C₅×Q₈	—	4	4	no	—
712	C₂×C₄×C₅	—	2	1	no	—
713	C₂×C₄×C₅	—	2	1	no	—
714	C₂×C₄×C₅	—	2	1	no	—
715	C₂×C₄×C₅	—	2	1	no	—
716	C₂×C₄×C₅	—	2	1	no	—
717	C₂×C₄×C₅	—	2	1	no	—
718	C₂×C₄×C₅	—	2	1	no	—
719	C₂×C₄×C₅	—	2	1	no	—
720	C₂×C₄×C₅	—	2	1	no	—
721	C₂×C₄×C₅	—	2	1	no	—
722	C₂×C₄×C₅	—	2	1	no	—
723	C₂×C₄×C₅	—	2	1	no	—
724	C₂×C₄×C₅	—	2	1	no	—
725	C₂×C₄×C₅	—	2	1	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	1	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	—	4	4	no	—
750	C₂×C₄×C₅	—	4	4	no	—
751	C₂×C₄×C₅	—	4	4	no	—
752	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
753	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
754	C₂×C₄×C₅	C₂×#41	1	2	yes	—
755	C₂×C₄×C₅	C₂×#41	1	2	yes	—
756	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
757	C₂²⋊D₅	—	2	8	no	—
758	C₂×Dic₅	—	2	1	no	—
759	C₂×Dic₅	—	2	1	no	—
760	C₂×Dic₅	—	2	1	no	—
761	C₂×Dic₅	—	2	1	no	—
762	C₂×Dic₅	—	2	1	no	—
763	C₂×Dic₅	—	2	1	no	—
764	C₂×Dic₅	—	2	1	no	—
765	C₂×Dic₅	—	2	1	no	—
766	C₂×Dic₅	—	2	1	no	—
767	C₂×Dic₅	—	2	1	no	—
768	C₂×Dic₅	—	2	1	no	—
769	C₂×Dic₅	—	2	1	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	—	4	4	no	—
799	C₂×Dic₅	—	4	4	no	—
800	C₂×Dic₅	—	8	2	no	—
801	C₂×Dic₅	—	8	2	no	—
802	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
803	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
804	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
805	C₂×Dic₅	C₂×#41	1	2	yes	—
806	C₂×Dic₅	C₂×#41	1	2	yes	—
807	C₄×D₅	—	4	4	no	—
808	C₄×D₅	—	4	4	no	—
809	C₄×D₅	—	4	4	no	—
810	Dic₁₀	—	8	2	no	—
811	Dic₁₀	—	8	2	no	—
812	C₂²×Q₈	—	5	1	no	—
813	C₂²×Q₈	—	5	1	no	—
814	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
815	C₂²×D₄	—	5	1	no	—
816	C₂³×C₄	—	5	1	no	—
817	C₂³×C₄	—	5	1	no	—
818	C₂³×C₄	—	5	1	no	—
819	C₂³×C₄	—	5	1	no	—
820	C₂³×C₄	—	5	1	no	—
821	C₂³×C₄	—	5	1	no	—
822	C₂³×C₄	—	5	1	no	—
823	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
824	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
825	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
826	#125	—	20	2	no	—
827	C₂²⋊Q₈	—	2	4	no	—
828	C₂²⋊Q₈	—	10	4	no	—
829	C₂²⋊Q₈	—	10	4	no	—
830	C₂²⋊Q₈	—	20	2	no	—
831	C₄×Q₈	—	4	2	no	—
832	C₄×D₄	—	5	8	no	—
833	C₄×D₄	—	10	4	no	—
834	C₄×D₄	—	10	4	no	—
835	C₂×C₄⋊C₄	—	5	1	no	—
836	C₂×C₄⋊C₄	—	5	1	no	—
837	C₂×C₄⋊C₄	—	5	1	no	—
838	C₂×C₄⋊C₄	—	5	1	no	—
839	C₂×C₄⋊C₄	—	5	1	no	—
840	C₂×C₄⋊C₄	—	5	1	no	—
841	C₂×C₄⋊C₄	—	5	1	no	—
842	C₂×C₄⋊C₄	—	5	1	no	—
843	C₂×C₄⋊C₄	—	5	1	no	—
844	C₂×C₄⋊C₄	—	5	1	no	—
845	C₂×C₄⋊C₄	—	5	1	no	—
846	C₂×C₄⋊C₄	—	5	1	no	—
847	C₂×C₄⋊C₄	—	5	1	no	—
848	C₂×C₄⋊C₄	—	5	1	no	—
849	C₂×C₄⋊C₄	—	5	1	no	—
850	C₂×C₄⋊C₄	—	5	1	no	—
851	C₂×C₄⋊C₄	—	5	1	no	—
852	C₂×C₄⋊C₄	—	5	1	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	—	10	4	no	—
873	C₂×C₄⋊C₄	—	20	2	no	—
874	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	—	5	1	no	—
884	C₂×C₂²⋊C₄	—	5	1	no	—
885	C₂×C₂²⋊C₄	—	5	1	no	—
886	C₂×C₂²⋊C₄	—	5	1	no	—
887	C₂×C₂²⋊C₄	—	5	1	no	—
888	C₂×C₂²⋊C₄	—	5	1	no	—
889	C₂×C₂²⋊C₄	—	5	1	no	—
890	C₂×C₂²⋊C₄	—	5	1	no	—
891	C₂×C₂²⋊C₄	—	5	1	no	—
892	C₂×C₂²⋊C₄	—	5	1	no	—
893	C₂×C₂²⋊C₄	—	5	1	no	—
894	C₂×C₂²⋊C₄	—	5	1	no	—
895	C₂×C₂²⋊C₄	—	5	1	no	—
896	C₂×C₂²⋊C₄	—	5	1	no	—
897	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
901	C₂×C₄²	—	4	2	no	—
902	C₂×C₄²	—	5	1	no	—
903	C₂×C₄²	—	5	1	no	—
904	C₂×C₄²	—	5	1	no	—
905	C₂×C₄²	—	5	1	no	—
906	C₂×C₄²	—	5	1	no	—
907	C₂×C₄²	—	5	1	no	—
908	C₂×C₄²	—	5	1	no	—
909	C₂×C₄²	—	5	1	no	—
910	C₂×C₄²	—	5	1	no	—
911	C₂×C₄²	—	20	2	no	—
912	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
913	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
914	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
915	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
916	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
917	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
918	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
919	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
920	#95	—	5	1	no	—
921	#95	—	5	1	no	—
922	#95	—	5	1	no	—
923	#95	—	5	1	no	—
924	#95	—	5	1	no	—
925	#95	—	5	1	no	—
926	#95	—	5	1	no	—
927	#95	—	5	1	no	—
928	#95	—	5	1	no	—
929	#95	—	5	1	no	—
930	#95	—	5	1	no	—
931	#95	—	5	1	no	—
932	#95	—	5	1	no	—
933	#95	—	5	1	no	—
934	#95	—	5	1	no	—
935	#95	—	5	1	no	—
936	#95	—	5	1	no	—
937	#95	—	5	1	no	—
938	#95	—	5	1	no	—
939	#95	—	5	1	no	—
940	#95	—	5	1	no	—
941	#95	—	5	1	no	—
942	#95	—	5	1	no	—
943	#95	—	5	1	no	—
944	#95	—	5	1	no	—
945	#95	—	5	1	no	—
946	#95	—	5	1	no	—
947	#95	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
971	#95	C₂²×D₅	1	1	yes	characteristic
972	#95	C₂²×D₅	1	1	yes	characteristic
973	#95	C₂²×D₅	1	1	yes	characteristic
974	#95	C₂²×D₅	1	1	yes	characteristic
975	#95	C₂²×D₅	1	1	yes	characteristic
976	#95	C₂²×D₅	1	1	yes	characteristic
977	#95	C₂²×D₅	1	1	yes	characteristic
978	#95	C₂²×D₅	1	1	yes	characteristic
979	#95	C₂²×D₅	1	1	yes	characteristic
980	C₂²×C₅	—	2	2	no	—
981	C₂²×C₅	—	2	2	no	—
982	C₂²×C₅	—	2	2	no	—
983	C₂²×C₅	—	2	2	no	—
984	C₂²×C₅	—	2	2	no	—
985	C₂²×C₅	—	2	2	no	—
986	C₂²×C₅	#533	1	4	yes	—
987	C₂²×C₅	C₂³×Q₈	1	1	yes	characteristic
988	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
989	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
990	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
991	C₂²×C₅	#585	1	1	yes	characteristic
992	C₂²×C₅	#585	1	1	yes	characteristic
993	C₂²×C₅	#585	1	1	yes	characteristic
994	C₂×D₅	—	2	2	no	—
995	C₂×D₅	—	2	2	no	—
996	C₂×D₅	—	2	2	no	—
997	C₂×D₅	—	4	1	no	—
998	C₂×D₅	—	4	1	no	—
999	C₂×D₅	—	4	1	no	—
1000	C₂×D₅	—	4	1	no	—
1001	C₄×C₅	—	2	2	no	—
1002	C₄×C₅	—	2	2	no	—
1003	C₄×C₅	—	2	2	no	—
1004	C₄×C₅	—	2	2	no	—
1005	C₄×C₅	—	2	2	no	—
1006	C₄×C₅	—	4	1	no	—
1007	C₄×C₅	—	4	1	no	—
1008	C₄×C₅	—	4	1	no	—
1009	C₄×C₅	—	4	1	no	—
1010	C₄×C₅	—	4	1	no	—
1011	C₄×C₅	—	4	1	no	—
1012	C₄×C₅	—	4	1	no	—
1013	C₄×C₅	—	4	1	no	—
1014	C₄×C₅	—	4	1	no	—
1015	Dic₅	—	2	2	no	—
1016	Dic₅	—	2	2	no	—
1017	Dic₅	—	2	2	no	—
1018	Dic₅	—	2	2	no	—
1019	Dic₅	—	2	2	no	—
1020	Dic₅	—	4	1	no	—
1021	Dic₅	—	4	1	no	—
1022	Dic₅	—	4	1	no	—
1023	Dic₅	—	4	1	no	—
1024	Dic₅	—	4	1	no	—
1025	Dic₅	—	4	1	no	—
1026	Dic₅	—	4	1	no	—
1027	Dic₅	—	4	1	no	—
1028	Dic₅	—	4	1	no	—
1029	Dic₅	—	4	1	no	—
1030	C₂⁴	—	5	1	no	—
1031	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1032	C₂×Q₈	—	2	2	no	—
1033	C₂×Q₈	—	4	1	no	—
1034	C₂×Q₈	—	4	1	no	—
1035	C₂×Q₈	—	10	2	no	—
1036	C₂×Q₈	—	10	2	no	—
1037	C₂×Q₈	—	20	1	no	—
1038	C₂×Q₈	—	20	1	no	—
1039	C₂×Q₈	—	20	1	no	—
1040	C₂×Q₈	—	20	1	no	—
1041	C₂×D₄	—	5	4	no	—
1042	C₂×D₄	—	10	2	no	—
1043	C₂×D₄	—	10	2	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	5	1	no	—
1052	C₂²×C₄	—	5	1	no	—
1053	C₂²×C₄	—	5	1	no	—
1054	C₂²×C₄	—	5	1	no	—
1055	C₂²×C₄	—	5	1	no	—
1056	C₂²×C₄	—	5	4	no	—
1057	C₂²×C₄	—	5	1	no	—
1058	C₂²×C₄	—	5	1	no	—
1059	C₂²×C₄	—	5	1	no	—
1060	C₂²×C₄	—	5	1	no	—
1061	C₂²×C₄	—	5	1	no	—
1062	C₂²×C₄	—	5	1	no	—
1063	C₂²×C₄	—	5	1	no	—
1064	C₂²×C₄	—	5	1	no	—
1065	C₂²×C₄	—	5	1	no	—
1066	C₂²×C₄	—	5	1	no	—
1067	C₂²×C₄	—	10	2	no	—
1068	C₂²×C₄	—	10	2	no	—
1069	C₂²×C₄	—	10	2	no	—
1070	C₂²×C₄	—	10	2	no	—
1071	C₂²×C₄	—	10	2	no	—
1072	C₂²×C₄	—	10	2	no	—
1073	C₂²×C₄	—	10	2	no	—
1074	C₂²×C₄	—	20	1	no	—
1075	C₂²×C₄	—	20	1	no	—
1076	C₂²×C₄	—	20	1	no	—
1077	C₂²×C₄	—	20	1	no	—
1078	C₂²×C₄	—	20	1	no	—
1079	C₂²×C₄	—	20	1	no	—
1080	C₂²×C₄	—	20	1	no	—
1081	C₂²×C₄	—	20	1	no	—
1082	C₂²×C₄	—	20	1	no	—
1083	C₂²×C₄	—	20	1	no	—
1084	C₂²×C₄	—	20	1	no	—
1085	C₂²×C₄	—	20	1	no	—
1086	C₂²×C₄	—	20	1	no	—
1087	C₂²×C₄	#709	1	4	yes	—
1088	C₂²×C₄	Q₈×D₅	1	4	yes	—
1089	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1093	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1098	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1103	C₄⋊C₄	—	2	2	no	—
1104	C₄⋊C₄	—	2	2	no	—
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	—	2	2	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	5	4	no	—
1113	C₄⋊C₄	—	10	2	no	—
1114	C₄⋊C₄	—	10	2	no	—
1115	C₄⋊C₄	—	10	2	no	—
1116	C₄⋊C₄	—	10	2	no	—
1117	C₄⋊C₄	—	10	2	no	—
1118	C₄⋊C₄	—	10	2	no	—
1119	C₄⋊C₄	—	10	2	no	—
1120	C₄⋊C₄	—	10	2	no	—
1121	C₄⋊C₄	—	10	2	no	—
1122	C₄⋊C₄	—	10	2	no	—
1123	C₄⋊C₄	—	10	2	no	—
1124	C₄⋊C₄	—	10	2	no	—
1125	C₄⋊C₄	—	10	2	no	—
1126	C₄⋊C₄	—	10	2	no	—
1127	C₄⋊C₄	—	20	1	no	—
1128	C₄⋊C₄	—	20	1	no	—
1129	C₄⋊C₄	—	20	1	no	—
1130	C₄⋊C₄	—	20	1	no	—
1131	C₄⋊C₄	—	20	1	no	—
1132	C₄⋊C₄	—	20	1	no	—
1133	C₄⋊C₄	—	20	1	no	—
1134	C₄⋊C₄	—	20	1	no	—
1135	C₄⋊C₄	—	20	1	no	—
1136	C₄⋊C₄	—	20	1	no	—
1137	C₄⋊C₄	—	20	1	no	—
1138	C₄⋊C₄	—	20	1	no	—
1139	C₄⋊C₄	—	20	1	no	—
1140	C₄⋊C₄	—	20	1	no	—
1141	C₄⋊C₄	—	20	1	no	—
1142	C₄⋊C₄	—	20	1	no	—
1143	C₄⋊C₄	—	20	1	no	—
1144	C₄⋊C₄	—	20	1	no	—
1145	C₄⋊C₄	—	20	1	no	—
1146	C₄⋊C₄	—	20	1	no	—
1147	C₄⋊C₄	—	20	1	no	—
1148	C₄⋊C₄	—	20	1	no	—
1149	C₂²⋊C₄	—	2	2	no	—
1150	C₂²⋊C₄	—	2	2	no	—
1151	C₂²⋊C₄	—	2	2	no	—
1152	C₂²⋊C₄	—	2	2	no	—
1153	C₂²⋊C₄	—	5	4	no	—
1154	C₂²⋊C₄	—	5	4	no	—
1155	C₂²⋊C₄	—	5	4	no	—
1156	C₂²⋊C₄	—	10	2	no	—
1157	C₂²⋊C₄	—	10	2	no	—
1158	C₂²⋊C₄	—	10	2	no	—
1159	C₂²⋊C₄	—	20	1	no	—
1160	C₂²⋊C₄	—	20	1	no	—
1161	C₂²⋊C₄	—	20	1	no	—
1162	C₂²⋊C₄	—	20	1	no	—
1163	C₂²⋊C₄	—	20	1	no	—
1164	C₂²⋊C₄	—	20	1	no	—
1165	C₂²⋊C₄	—	20	1	no	—
1166	C₂²⋊C₄	—	20	1	no	—
1167	C₄²	—	2	2	no	—
1168	C₄²	—	2	2	no	—
1169	C₄²	—	4	1	no	—
1170	C₄²	—	4	1	no	—
1171	C₄²	—	4	1	no	—
1172	C₄²	—	4	1	no	—
1173	C₄²	—	4	1	no	—
1174	C₄²	—	4	1	no	—
1175	C₄²	—	5	4	no	—
1176	C₄²	—	10	2	no	—
1177	C₄²	—	10	2	no	—
1178	C₄²	—	10	2	no	—
1179	C₄²	—	20	1	no	—
1180	C₄²	—	20	1	no	—
1181	C₄²	—	20	1	no	—
1182	C₄²	—	20	1	no	—
1183	C₄²	—	20	1	no	—
1184	C₂×C₅	—	2	4	no	—
1185	C₂×C₅	C₂×#533	1	1	yes	characteristic
1186	C₂×C₅	#3455	1	1	yes	characteristic
1187	C₂×C₅	#3459	1	1	yes	characteristic
1188	C₂×C₅	#3501	1	1	yes	characteristic
1189	C₂×C₅	#3504	1	1	yes	characteristic
1190	C₂×C₅	#3513	1	1	yes	characteristic
1191	C₂×C₅	#3521	1	1	yes	characteristic
1192	D₅	—	4	2	no	—
1193	C₂³	—	2	1	no	—
1194	C₂³	—	2	1	no	—
1195	C₂³	—	2	1	no	—
1196	C₂³	—	2	1	no	—
1197	C₂³	—	5	2	no	—
1198	C₂³	—	10	1	no	—
1199	C₂³	—	10	1	no	—
1200	C₂³	—	10	1	no	—
1201	C₂³	—	10	1	no	—
1202	C₂³	—	10	1	no	—
1203	C₂³	—	10	1	no	—
1204	C₂³	C₂×#709	1	2	yes	—
1205	C₂³	C₂×Q₈×D₅	1	2	yes	—
1206	C₂³	D₅×#41	1	2	yes	—
1207	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1208	Q₈	—	4	4	no	—
1209	Q₈	—	40	2	no	—
1210	Q₈	—	40	2	no	—
1211	D₄	—	10	8	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	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	1	no	—
1249	C₂×C₄	—	4	4	no	—
1250	C₂×C₄	—	4	4	no	—
1251	C₂×C₄	—	4	4	no	—
1252	C₂×C₄	—	5	2	no	—
1253	C₂×C₄	—	5	2	no	—
1254	C₂×C₄	—	5	2	no	—
1255	C₂×C₄	—	5	2	no	—
1256	C₂×C₄	—	5	2	no	—
1257	C₂×C₄	—	10	1	no	—
1258	C₂×C₄	—	10	1	no	—
1259	C₂×C₄	—	10	1	no	—
1260	C₂×C₄	—	10	1	no	—
1261	C₂×C₄	—	10	1	no	—
1262	C₂×C₄	—	10	1	no	—
1263	C₂×C₄	—	10	1	no	—
1264	C₂×C₄	—	10	1	no	—
1265	C₂×C₄	—	10	1	no	—
1266	C₂×C₄	—	10	1	no	—
1267	C₂×C₄	—	10	1	no	—
1268	C₂×C₄	—	10	1	no	—
1269	C₂×C₄	—	10	1	no	—
1270	C₂×C₄	—	10	1	no	—
1271	C₂×C₄	—	10	1	no	—
1272	C₂×C₄	—	10	1	no	—
1273	C₂×C₄	—	10	1	no	—
1274	C₂×C₄	—	10	1	no	—
1275	C₂×C₄	—	10	1	no	—
1276	C₂×C₄	—	10	1	no	—
1277	C₂×C₄	—	10	1	no	—
1278	C₂×C₄	—	10	1	no	—
1279	C₂×C₄	—	10	1	no	—
1280	C₂×C₄	—	10	1	no	—
1281	C₂×C₄	—	10	1	no	—
1282	C₂×C₄	—	10	1	no	—
1283	C₂×C₄	—	10	1	no	—
1284	C₂×C₄	—	10	1	no	—
1285	C₂×C₄	—	10	1	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	—	20	4	no	—
1298	C₂×C₄	—	20	4	no	—
1299	C₂×C₄	—	20	4	no	—
1300	C₂×C₄	—	20	4	no	—
1301	C₂×C₄	—	20	4	no	—
1302	C₂×C₄	—	40	2	no	—
1303	C₂×C₄	—	40	2	no	—
1304	C₂×C₄	C₂×#709	1	2	yes	—
1305	C₂×C₄	C₂×#709	1	2	yes	—
1306	C₂×C₄	#4144	1	2	yes	—
1307	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1308	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1309	C₅	#35018	1	1	yes	characteristic, complemented, Sylow
1310	C₂²	—	2	2	no	—
1311	C₂²	—	2	2	no	—
1312	C₂²	—	2	2	no	—
1313	C₂²	—	2	2	no	—
1314	C₂²	—	2	2	no	—
1315	C₂²	—	2	2	no	—
1316	C₂²	—	10	2	no	—
1317	C₂²	—	10	2	no	—
1318	C₂²	—	10	2	no	—
1319	C₂²	—	20	1	no	—
1320	C₂²	—	20	1	no	—
1321	C₂²	—	20	1	no	—
1322	C₂²	—	20	1	no	—
1323	C₂²	#65912	1	4	yes	—
1324	C₂²	C₂²×#709	1	1	yes	characteristic
1325	C₂²	C₂×#4144	1	1	yes	characteristic
1326	C₂²	C₂²×Q₈×D₅	1	1	yes	characteristic
1327	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1328	C₂²	#66283	1	1	yes	characteristic
1329	C₂²	#66283	1	1	yes	characteristic
1330	C₂²	#66283	1	1	yes	characteristic
1331	C₄	—	2	2	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	2	no	—
1335	C₄	—	2	2	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	—	4	1	no	—
1342	C₄	—	4	1	no	—
1343	C₄	—	4	1	no	—
1344	C₄	—	4	1	no	—
1345	C₄	—	10	2	no	—
1346	C₄	—	10	2	no	—
1347	C₄	—	10	2	no	—
1348	C₄	—	10	2	no	—
1349	C₄	—	10	2	no	—
1350	C₄	—	20	1	no	—
1351	C₄	—	20	1	no	—
1352	C₄	—	20	1	no	—
1353	C₄	—	20	1	no	—
1354	C₄	—	20	1	no	—
1355	C₄	—	20	1	no	—
1356	C₄	—	20	1	no	—
1357	C₄	—	20	1	no	—
1358	C₄	—	20	1	no	—
1359	C₄	—	20	1	no	—
1360	C₂	—	2	4	no	—
1361	C₂	—	20	2	no	—
1362	C₂	#10617677	1	1	yes	characteristic
1363	C₂	C₂×#65912	1	1	yes	characteristic
1364	C₂	#10617738	1	1	yes	characteristic
1365	C₂	#10617887	1	1	yes	characteristic
1366	C₂	#10617946	1	1	yes	characteristic
1367	C₂	#10618069	1	1	yes	characteristic
1368	C₂	#10618183	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₄×C₅×C₂²⋊Q₈	C₂
prime radical	C₂²×C₂²⋊D₅	C₂³
hypercenter	C₄×C₂²⋊Q₈	D₅
hypocenter	C₅	#35018
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
1. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
2. #10614516	C₂	semidirect
4. #10614229	C₂	semidirect
5. #10614203	C₂	semidirect
6. C₂×#65222	C₂	semidirect
8. #10608376	C₂	semidirect
9. #10608293	C₂	semidirect
10. #10607987	C₂	semidirect
11. #10607840	C₂	semidirect
12. #10607179	C₂	semidirect
13. #10607176	C₂	semidirect
14. #10607023	C₂	semidirect
15. #10607022	C₂	semidirect
16. #10606193	C₂	semidirect
17. #10606171	C₂	semidirect
21. #10605669	C₂	semidirect
22. #10605543	C₂	semidirect
23. #10605542	C₂	semidirect
24. #10605528	C₂	semidirect
25. #10605464	C₂	semidirect
26. #10605462	C₂	semidirect
27. #10605432	C₂	semidirect
30. #10605178	C₂	semidirect
31. #10605178	C₂	semidirect
231. C₄×C₂²⋊D₅	Q₈	semidirect
384. C₄×C₂²⋊Q₈	D₅	semidirect
1309. C₅	#35018	semidirect

Maximal subgroups

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

subgroup	index
C₄×C₅×C₂²⋊Q₈	2
#10614516	2
#10614515	2
#10614229	2
#10614203	2
C₂×#65222	2
C₄²×C₂²⋊D₅	2
#10608376	2
#10608293	2
#10607987	2
#10607840	2
#10607179	2
#10607176	2
#10607023	2
#10607022	2
#10606193	2
#10606171	2
#10606154	2
#10606152	2
#10605680	2
#10605669	2
#10605543	2
#10605542	2
#10605528	2
#10605464	2
#10605462	2
#10605432	2
#10605299	2
#10605178	2
#35018	5