Subgroups — C₅×#60576 #11983296

Order 1280.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1182 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3460	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×C₅×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3126	C₂	1	2	yes	maximal, complemented
4	C₅×#3124	C₂	1	2	yes	maximal, complemented
5	C₅×#3121	C₂	1	2	yes	maximal, complemented
6	C₅×#3119	C₂	1	2	yes	maximal, complemented
7	C₅×#3117	C₂	1	2	yes	maximal, complemented
8	C₅×#3115	C₂	1	2	yes	maximal, complemented
9	C₅×#3112	C₂	1	2	yes	maximal, complemented
10	C₅×#3111	C₂	1	2	yes	maximal, complemented
11	C₅×#3098	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#3096	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#3083	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#3082	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#3045	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3043	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#3013	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#3010	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×C₅×#137	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₅×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2943	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₅×#440	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#2923	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₅×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂×C₅×#137	C₂²	1	1	yes	characteristic
26	C₂×C₅×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
27	C₂×C₅×#135	C₂²	1	1	yes	characteristic
28	C₂²×C₅×SD₁₆	C₂²	1	1	yes	characteristic
29	C₅×#544	C₂²	1	1	yes	characteristic
30	C₅×#542	—	2	1	no	—
31	C₅×#542	C₂²	1	2	yes	—
32	C₅×#540	—	2	1	no	—
33	C₅×#540	C₂²	1	2	yes	—
34	C₅×#538	—	2	2	no	—
35	C₅×#537	C₂²	1	1	yes	characteristic
36	C₅×#535	C₂²	1	1	yes	characteristic
37	C₅×#535	C₂²	1	1	yes	characteristic
38	C₅×#532	—	2	1	no	—
39	C₅×#532	C₂²	1	2	yes	—
40	C₅×#529	—	2	1	no	—
41	C₅×#529	C₂²	1	2	yes	—
42	C₅×#525	—	2	2	no	—
43	C₅×#520	—	2	2	no	—
44	C₅×#520	—	2	1	no	—
45	C₅×#520	C₂²	1	1	yes	characteristic
46	C₅×#520	C₂²	1	1	yes	characteristic
47	C₅×#520	C₂²	1	2	yes	complemented
48	C₅×#519	—	2	1	no	—
49	C₅×#519	C₂²	1	1	yes	characteristic
50	C₅×#519	C₂²	1	2	yes	complemented
51	C₄×C₅×#41	—	2	2	no	—
52	C₄×C₅×#41	—	2	1	no	—
53	C₄×C₅×#41	C₂²	1	1	yes	characteristic
54	C₄×C₅×#41	C₂²	1	1	yes	characteristic
55	C₄×C₅×#41	C₂²	1	1	yes	characteristic
56	C₄×C₅×#41	C₂²	1	2	yes	complemented
57	C₂×C₄×C₅×Q₈	—	2	1	no	—
58	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₅×Q₈	C₂²	1	2	yes	complemented
60	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
61	C₅×#485	C₂²	1	2	yes	complemented
62	C₅×#484	C₂²	1	2	yes	complemented
63	C₅×#482	C₂²	1	2	yes	—
64	C₅×#482	C₂²	1	2	yes	—
65	C₅×#482	C₂²	1	2	yes	complemented
66	C₅×#481	C₂²	1	2	yes	—
67	C₅×#480	C₂²	1	2	yes	—
68	C₅×#480	C₂²	1	2	yes	complemented
69	C₅×#479	C₂²	1	2	yes	complemented
70	C₅×#479	C₂²	1	2	yes	complemented
71	C₅×#479	C₂²	1	2	yes	complemented
72	C₅×#478	C₂²	1	2	yes	complemented
73	C₅×#477	C₂²	1	2	yes	complemented
74	C₅×#477	C₂²	1	2	yes	complemented
75	C₅×#475	C₂²	1	2	yes	complemented
76	C₅×#474	C₂²	1	2	yes	complemented
77	C₅×#464	C₂²	1	2	yes	—
78	C₅×#464	C₂²	1	2	yes	—
79	C₅×#464	C₂²	1	2	yes	—
80	C₅×#463	C₂²	1	2	yes	—
81	C₅×#460	C₂²	1	2	yes	—
82	C₅×#460	C₂²	1	2	yes	—
83	C₅×#460	C₂²	1	2	yes	—
84	C₅×#459	C₂²	1	2	yes	—
85	C₅×#452	C₂²	1	2	yes	complemented
86	C₅×#451	C₂²	1	2	yes	complemented
87	C₅×#449	C₂²	1	2	yes	—
88	C₅×#449	C₂²	1	2	yes	—
89	C₅×#449	C₂²	1	2	yes	complemented
90	C₅×#448	C₂²	1	2	yes	—
91	C₅×#448	C₂²	1	2	yes	—
92	C₅×#448	C₂²	1	2	yes	complemented
93	C₅×#442	C₂²	1	2	yes	—
94	C₅×#442	C₂²	1	1	yes	characteristic, complemented
95	C₅×#442	C₂²	1	1	yes	characteristic, complemented
96	C₅×#441	C₂²	1	2	yes	complemented
97	C₅×#441	C₂²	1	1	yes	characteristic, complemented
98	C₅×#441	C₂²	1	1	yes	characteristic, complemented
99	C₅×#440	C₂²	1	2	yes	—
100	C₅×#440	C₂²	1	2	yes	—
101	C₅×#440	C₂²	1	2	yes	—
102	C₅×#440	C₂²	1	2	yes	—
103	C₅×#440	C₂²	1	2	yes	—
104	C₅×#440	C₂²	1	1	yes	characteristic, complemented
105	C₅×#440	C₂²	1	1	yes	characteristic, complemented
106	C₅×#440	C₂²	1	2	yes	complemented
107	C₅×#440	C₂²	1	1	yes	characteristic, complemented
108	C₅×#440	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
110	C₄×C₅×SD₁₆	C₂²	1	2	yes	—
111	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
112	C₄×C₅×D₈	C₂²	1	2	yes	—
113	C₅×#433	C₂²	1	2	yes	complemented
114	C₅×#433	C₂²	1	2	yes	complemented
115	C₅×#432	C₂²	1	2	yes	complemented
116	C₅×#432	C₂²	1	2	yes	complemented
117	C₅×#428	C₂²	1	1	yes	characteristic
118	C₅×#428	C₂²	1	1	yes	characteristic
119	C₅×#427	C₂²	1	1	yes	characteristic
120	C₂×C₅×#107	C₂²	1	1	yes	characteristic
121	C₅×#424	C₂²	1	1	yes	characteristic
122	C₅×#424	C₂²	1	1	yes	characteristic
123	C₅×#419	C₂²	1	1	yes	characteristic
124	C₅×#418	C₂²	1	1	yes	characteristic
125	C₅×#417	C₂²	1	1	yes	characteristic
126	C₅×#417	C₂²	1	1	yes	characteristic
127	C₅×#416	C₂²	1	1	yes	characteristic
128	C₅×#416	C₂²	1	1	yes	characteristic
129	C₂×C₅×#103	C₂²	1	1	yes	characteristic
130	C₂×C₅×#102	C₂²	1	1	yes	characteristic
131	C₅×#408	C₂²	1	1	yes	characteristic
132	C₅×#408	C₂²	1	1	yes	characteristic
133	C₄×C₅×M₁₆	C₂²	1	1	yes	characteristic
134	C₂×C₅×#97	C₂²	1	1	yes	characteristic
135	#60576	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₅×2₋¹⁺⁴	—	2	4	no	—
137	C₅×2₋¹⁺⁴	—	2	4	no	—
138	C₂×C₅×#41	—	2	2	no	—
139	C₂×C₅×#41	—	2	1	no	—
140	C₂×C₅×#41	—	2	2	no	—
141	C₂×C₅×#41	C₂³	1	1	yes	characteristic
142	C₂×C₅×#41	C₂³	1	2	yes	—
143	C₂×C₅×#41	C₂³	1	1	yes	characteristic
144	C₂×C₅×#41	C₂³	1	1	yes	characteristic
145	C₂²×C₅×Q₈	—	2	1	no	—
146	C₂²×C₅×Q₈	C₂³	1	2	yes	—
147	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
148	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₅	—	2	1	no	—
150	C₅×#137	—	2	4	no	—
151	C₅×AGL(1,ℤ/8)	—	2	4	no	—
152	C₅×#135	—	2	4	no	—
153	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₅×SD₁₆	—	2	4	no	—
156	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
162	C₂×C₅×D₈	C₂³	1	2	yes	—
163	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
164	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
165	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
166	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
167	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
168	C₅×C₄⋊Q₈	—	2	1	no	—
169	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
170	C₅×#127	—	2	1	no	—
171	C₅×#127	C₂³	1	2	yes	—
172	C₅×#126	—	2	2	no	—
173	C₅×#126	—	2	2	no	—
174	C₅×#125	—	2	1	no	—
175	C₅×#125	C₂³	1	2	yes	—
176	C₅×#124	—	2	1	no	—
177	C₅×#124	—	2	2	no	—
178	C₅×#124	—	2	2	no	—
179	C₅×#124	C₂³	1	2	yes	—
180	C₅×#123	—	2	2	no	—
181	C₅×#123	—	2	2	no	—
182	C₅×#123	—	2	2	no	—
183	C₅×#123	—	2	2	no	—
184	C₅×C₂²⋊Q₈	—	2	1	no	—
185	C₅×C₂²⋊Q₈	—	2	2	no	—
186	C₅×C₂²⋊Q₈	—	2	2	no	—
187	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
188	C₅×#121	—	2	2	no	—
189	C₅×#121	—	2	1	no	—
190	C₅×#121	—	2	2	no	—
191	C₅×#121	—	2	1	no	—
192	C₅×#121	—	2	1	no	—
193	C₅×#121	—	2	2	no	—
194	C₅×#121	—	2	2	no	—
195	C₅×#121	C₂³	1	2	yes	—
196	C₅×#121	C₂³	1	2	yes	—
197	C₅×#121	C₂³	1	2	yes	—
198	C₅×#120	—	2	2	no	—
199	C₅×#120	—	2	2	no	—
200	C₄×C₅×Q₈	—	2	1	no	—
201	C₄×C₅×Q₈	—	2	1	no	—
202	C₄×C₅×Q₈	—	2	2	no	—
203	C₄×C₅×Q₈	—	2	1	no	—
204	C₄×C₅×Q₈	—	2	2	no	—
205	C₄×C₅×Q₈	—	2	1	no	—
206	C₄×C₅×Q₈	—	2	2	no	—
207	C₄×C₅×Q₈	—	2	1	no	—
208	C₄×C₅×Q₈	—	2	2	no	—
209	C₄×C₅×Q₈	D₄	1	1	yes	characteristic
210	C₄×C₅×Q₈	D₄	1	1	yes	characteristic
211	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
212	C₄×C₅×Q₈	C₂³	1	2	yes	—
213	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
214	C₄×C₅×Q₈	C₂³	1	2	yes	—
215	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
216	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
217	C₄×C₅×Q₈	C₂³	1	2	yes	—
218	C₄×C₅×Q₈	C₂³	1	2	yes	—
219	C₄×C₅×Q₈	C₂³	1	2	yes	—
220	C₄×C₅×D₄	—	2	2	no	—
221	C₄×C₅×D₄	—	2	1	no	—
222	C₄×C₅×D₄	—	2	1	no	—
223	C₄×C₅×D₄	—	2	2	no	—
224	C₄×C₅×D₄	—	2	1	no	—
225	C₄×C₅×D₄	—	2	1	no	—
226	C₄×C₅×D₄	—	2	1	no	—
227	C₄×C₅×D₄	—	2	2	no	—
228	C₄×C₅×D₄	—	2	2	no	—
229	C₄×C₅×D₄	—	2	2	no	—
230	C₄×C₅×D₄	—	2	2	no	—
231	C₄×C₅×D₄	—	2	2	no	—
232	C₄×C₅×D₄	—	2	1	no	—
233	C₄×C₅×D₄	—	2	1	no	—
234	C₄×C₅×D₄	—	2	2	no	—
235	C₄×C₅×D₄	D₄	1	2	yes	—
236	C₄×C₅×D₄	D₄	1	1	yes	characteristic
237	C₄×C₅×D₄	D₄	1	2	yes	—
238	C₄×C₅×D₄	D₄	1	1	yes	characteristic
239	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	C₂³	1	2	yes	—
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₄×C₅×D₄	C₂³	1	2	yes	—
243	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
244	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
245	C₄×C₅×D₄	C₂³	1	2	yes	—
246	C₅×#117	—	2	1	no	—
247	C₅×#117	—	2	2	no	—
248	C₅×#117	—	2	2	no	—
249	C₅×#117	—	2	2	no	—
250	C₅×#117	—	2	2	no	—
251	C₅×#117	—	2	1	no	—
252	C₅×#117	—	2	1	no	—
253	C₅×#117	—	2	2	no	—
254	C₅×#117	—	2	2	no	—
255	C₅×#117	C₂³	1	1	yes	characteristic
256	C₅×#117	C₂³	1	1	yes	characteristic
257	C₅×#117	C₂³	1	2	yes	—
258	C₅×#117	C₂³	1	1	yes	characteristic
259	C₅×#117	C₂³	1	2	yes	—
260	C₂×C₅×C₄⋊C₄	—	2	1	no	—
261	C₂×C₅×C₄⋊C₄	—	2	2	no	—
262	C₂×C₅×C₄⋊C₄	—	2	1	no	—
263	C₂×C₅×C₄⋊C₄	—	2	2	no	—
264	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
268	C₂×C₄²×C₅	—	2	1	no	—
269	C₂×C₄²×C₅	—	2	2	no	—
270	C₂×C₄²×C₅	—	2	1	no	—
271	C₂×C₄²×C₅	—	2	2	no	—
272	C₂×C₄²×C₅	—	2	1	no	—
273	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
274	C₂×C₄²×C₅	C₂³	1	2	yes	—
275	C₅×#107	C₂³	1	2	yes	—
276	C₅×#107	C₂³	1	2	yes	—
277	C₅×#107	C₂³	1	1	yes	characteristic
278	C₅×#107	C₂³	1	1	yes	characteristic
279	C₅×#107	C₂³	1	2	yes	—
280	C₅×#107	C₂³	1	2	yes	—
281	C₅×#106	C₂³	1	1	yes	characteristic
282	C₅×#106	C₂³	1	1	yes	characteristic
283	C₅×#106	C₂³	1	2	yes	—
284	C₅×#106	C₂³	1	2	yes	—
285	C₅×C₄⋊C₈	C₂³	1	2	yes	—
286	C₅×C₄⋊C₈	C₂³	1	2	yes	—
287	C₅×C₄⋊C₈	C₂³	1	2	yes	—
288	C₅×C₄⋊C₈	C₂³	1	2	yes	—
289	C₅×#103	C₂³	1	2	yes	—
290	C₅×#103	C₂³	1	2	yes	—
291	C₅×#103	C₂³	1	1	yes	characteristic
292	C₅×#103	C₂³	1	1	yes	characteristic
293	C₅×#103	C₂³	1	1	yes	characteristic
294	C₅×#103	C₂³	1	1	yes	characteristic
295	C₅×#103	C₂³	1	2	yes	—
296	C₅×#103	C₂³	1	2	yes	—
297	C₅×#103	C₂³	1	2	yes	—
298	C₅×#103	C₂³	1	2	yes	—
299	C₅×#102	C₂³	1	2	yes	—
300	C₅×#102	C₂³	1	2	yes	—
301	C₅×#102	C₂³	1	1	yes	characteristic
302	C₅×#102	C₂³	1	1	yes	characteristic
303	C₅×#102	C₂³	1	1	yes	characteristic
304	C₅×#102	C₂³	1	1	yes	characteristic
305	C₅×#102	C₂³	1	2	yes	—
306	C₅×#102	C₂³	1	2	yes	—
307	C₅×#102	C₂³	1	2	yes	—
308	C₅×#102	C₂³	1	2	yes	—
309	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₅×#97	C₂³	1	1	yes	characteristic
314	C₅×#97	C₂³	1	1	yes	characteristic
315	C₅×#97	C₂³	1	1	yes	characteristic
316	C₅×#97	C₂³	1	1	yes	characteristic
317	C₅×#97	C₂³	1	2	yes	—
318	C₄×C₅×C₈	C₂³	1	2	yes	—
319	#3460	C₂×C₅	1	1	yes	characteristic, complemented
320	C₄×2₋¹⁺⁴	C₂×C₅	1	1	yes	characteristic, complemented
321	#3126	C₂×C₅	1	2	yes	complemented
322	#3124	C₂×C₅	1	2	yes	complemented
323	#3121	C₂×C₅	1	2	yes	complemented
324	#3119	C₂×C₅	1	2	yes	complemented
325	#3117	C₂×C₅	1	2	yes	complemented
326	#3115	C₂×C₅	1	2	yes	complemented
327	#3112	C₂×C₅	1	2	yes	complemented
328	#3111	C₂×C₅	1	2	yes	complemented
329	#3098	C₂×C₅	1	1	yes	characteristic, complemented
330	#3096	C₂×C₅	1	1	yes	characteristic, complemented
331	#3083	C₂×C₅	1	1	yes	characteristic, complemented
332	#3082	C₂×C₅	1	1	yes	characteristic, complemented
333	#3045	C₂×C₅	1	1	yes	characteristic, complemented
334	#3043	C₂×C₅	1	1	yes	characteristic, complemented
335	#3013	C₂×C₅	1	1	yes	characteristic, complemented
336	#3010	C₂×C₅	1	1	yes	characteristic, complemented
337	C₄×#137	C₂×C₅	1	1	yes	characteristic, complemented
338	C₄×AGL(1,ℤ/8)	C₂×C₅	1	1	yes	characteristic, complemented
339	#2943	C₂×C₅	1	1	yes	characteristic, complemented
340	C₂×#440	C₂×C₅	1	1	yes	characteristic, complemented
341	#2923	C₂×C₅	1	1	yes	characteristic, complemented
342	C₂⁴×C₅	—	2	1	no	—
343	C₅×#41	—	2	16	no	—
344	C₅×#41	—	2	8	no	—
345	C₅×#41	—	2	4	no	—
346	C₅×#41	—	2	4	no	—
347	C₅×#41	—	2	2	no	—
348	C₅×#41	—	2	2	no	—
349	C₅×#41	—	2	2	no	—
350	C₅×#41	—	2	2	no	—
351	C₅×#41	—	2	2	no	—
352	C₅×#41	—	8	4	no	—
353	C₅×#41	#41	1	4	yes	complemented
354	C₂×C₅×Q₈	—	2	8	no	—
355	C₂×C₅×Q₈	—	2	4	no	—
356	C₂×C₅×Q₈	—	2	4	no	—
357	C₂×C₅×Q₈	—	2	2	no	—
358	C₂×C₅×Q₈	—	2	1	no	—
359	C₂×C₅×Q₈	—	2	2	no	—
360	C₂×C₅×Q₈	—	2	2	no	—
361	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
362	C₂×C₅×Q₈	#41	1	4	yes	complemented
363	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
364	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
365	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
366	C₂×C₅×D₄	—	2	2	no	—
367	C₂×C₅×D₄	—	2	1	no	—
368	C₂×C₅×D₄	—	2	1	no	—
369	C₂×C₅×D₄	—	2	2	no	—
370	C₂×C₅×D₄	—	2	2	no	—
371	C₂×C₅×D₄	—	2	2	no	—
372	C₂×C₅×D₄	—	2	1	no	—
373	C₂×C₅×D₄	—	2	2	no	—
374	C₂×C₅×D₄	—	2	2	no	—
375	C₂×C₅×D₄	—	2	2	no	—
376	C₂×C₅×D₄	—	2	2	no	—
377	C₂×C₅×D₄	C₂×D₄	1	2	yes	—
378	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
379	C₂×C₅×D₄	C₂⁴	1	2	yes	—
380	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
381	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₅	—	2	2	no	—
383	C₂²×C₄×C₅	—	2	1	no	—
384	C₂²×C₄×C₅	—	2	2	no	—
385	C₂²×C₄×C₅	—	2	1	no	—
386	C₂²×C₄×C₅	—	2	2	no	—
387	C₂²×C₄×C₅	—	2	1	no	—
388	C₂²×C₄×C₅	—	2	1	no	—
389	C₂²×C₄×C₅	—	2	1	no	—
390	C₂²×C₄×C₅	—	2	1	no	—
391	C₂²×C₄×C₅	—	2	1	no	—
392	C₂²×C₄×C₅	—	2	2	no	—
393	C₂²×C₄×C₅	—	2	1	no	—
394	C₂²×C₄×C₅	—	2	2	no	—
395	C₂²×C₄×C₅	—	2	1	no	—
396	C₂²×C₄×C₅	—	2	2	no	—
397	C₂²×C₄×C₅	—	8	2	no	—
398	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
400	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
401	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
402	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
403	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₅×Q₁₆	—	2	2	no	—
405	C₅×Q₁₆	—	2	4	no	—
406	C₅×SD₁₆	—	2	4	no	—
407	C₅×SD₁₆	—	2	4	no	—
408	C₅×SD₁₆	—	2	2	no	—
409	C₅×SD₁₆	—	2	4	no	—
410	C₅×SD₁₆	—	2	4	no	—
411	C₅×SD₁₆	—	2	2	no	—
412	C₅×D₈	—	2	2	no	—
413	C₅×D₈	—	2	4	no	—
414	C₅×M₁₆	—	2	2	no	—
415	C₅×M₁₆	—	2	2	no	—
416	C₂×C₅×C₈	—	2	2	no	—
417	C₂×C₅×C₈	—	2	2	no	—
418	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
419	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
420	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
421	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
422	C₂×C₅×C₈	C₂⁴	1	2	yes	—
423	C₂×C₅×C₈	C₂⁴	1	2	yes	—
424	C₅×C₄⋊C₄	—	2	2	no	—
425	C₅×C₄⋊C₄	—	2	1	no	—
426	C₅×C₄⋊C₄	—	2	2	no	—
427	C₅×C₄⋊C₄	—	2	2	no	—
428	C₅×C₄⋊C₄	—	2	2	no	—
429	C₅×C₄⋊C₄	—	2	2	no	—
430	C₅×C₄⋊C₄	—	2	1	no	—
431	C₅×C₄⋊C₄	—	2	1	no	—
432	C₅×C₄⋊C₄	—	2	1	no	—
433	C₅×C₄⋊C₄	—	2	2	no	—
434	C₅×C₄⋊C₄	—	2	1	no	—
435	C₅×C₄⋊C₄	—	2	1	no	—
436	C₅×C₄⋊C₄	—	2	2	no	—
437	C₅×C₄⋊C₄	—	2	2	no	—
438	C₅×C₄⋊C₄	—	2	2	no	—
439	C₅×C₄⋊C₄	—	2	2	no	—
440	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
442	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
444	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
445	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
446	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
447	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
449	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₅×C₂²⋊C₄	—	2	2	no	—
451	C₅×C₂²⋊C₄	—	2	1	no	—
452	C₅×C₂²⋊C₄	—	2	1	no	—
453	C₅×C₂²⋊C₄	—	2	2	no	—
454	C₅×C₂²⋊C₄	—	2	2	no	—
455	C₅×C₂²⋊C₄	—	2	2	no	—
456	C₅×C₂²⋊C₄	—	2	1	no	—
457	C₅×C₂²⋊C₄	—	2	1	no	—
458	C₅×C₂²⋊C₄	—	2	2	no	—
459	C₅×C₂²⋊C₄	—	2	1	no	—
460	C₅×C₂²⋊C₄	—	2	1	no	—
461	C₅×C₂²⋊C₄	—	2	2	no	—
462	C₅×C₂²⋊C₄	—	2	2	no	—
463	C₅×C₂²⋊C₄	—	2	2	no	—
464	C₅×C₂²⋊C₄	—	2	2	no	—
465	C₅×C₂²⋊C₄	—	2	2	no	—
466	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
467	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
468	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
469	C₄²×C₅	—	2	2	no	—
470	C₄²×C₅	—	2	1	no	—
471	C₄²×C₅	—	2	1	no	—
472	C₄²×C₅	—	2	1	no	—
473	C₄²×C₅	—	2	2	no	—
474	C₄²×C₅	—	2	2	no	—
475	C₄²×C₅	—	2	2	no	—
476	C₄²×C₅	—	2	2	no	—
477	C₄²×C₅	—	2	2	no	—
478	C₄²×C₅	—	2	1	no	—
479	C₄²×C₅	—	2	1	no	—
480	C₄²×C₅	—	2	1	no	—
481	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
482	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
483	C₄²×C₅	C₂×D₄	1	2	yes	—
484	C₄²×C₅	C₂×D₄	1	2	yes	—
485	C₄²×C₅	C₂⁴	1	1	yes	characteristic
486	C₄²×C₅	C₂⁴	1	1	yes	characteristic
487	C₄²×C₅	C₂⁴	1	2	yes	—
488	C₂×2₋¹⁺⁴	C₂²×C₅	1	1	yes	characteristic
489	C₂×#137	C₂²×C₅	1	1	yes	characteristic
490	C₂×AGL(1,ℤ/8)	C₂²×C₅	1	1	yes	characteristic
491	C₂×#135	C₂²×C₅	1	1	yes	characteristic
492	C₂²×SD₁₆	C₂²×C₅	1	1	yes	characteristic
493	#544	C₂²×C₅	1	1	yes	characteristic
494	#542	—	2	1	no	—
495	#542	C₂²×C₅	1	2	yes	—
496	#540	—	2	1	no	—
497	#540	C₂²×C₅	1	2	yes	—
498	#538	—	2	2	no	—
499	#537	C₂²×C₅	1	1	yes	characteristic
500	#535	C₂²×C₅	1	1	yes	characteristic
501	#535	C₂²×C₅	1	1	yes	characteristic
502	#532	—	2	1	no	—
503	#532	C₂²×C₅	1	2	yes	—
504	#529	—	2	1	no	—
505	#529	C₂²×C₅	1	2	yes	—
506	#525	—	2	2	no	—
507	#520	—	2	2	no	—
508	#520	—	2	1	no	—
509	#520	C₂²×C₅	1	1	yes	characteristic
510	#520	C₂²×C₅	1	1	yes	characteristic
511	#520	C₂²×C₅	1	2	yes	complemented
512	#519	—	2	1	no	—
513	#519	C₂²×C₅	1	1	yes	characteristic
514	#519	C₂²×C₅	1	2	yes	complemented
515	C₄×#41	—	2	2	no	—
516	C₄×#41	—	2	1	no	—
517	C₄×#41	C₂²×C₅	1	1	yes	characteristic
518	C₄×#41	C₂²×C₅	1	1	yes	characteristic
519	C₄×#41	C₂²×C₅	1	1	yes	characteristic
520	C₄×#41	C₂²×C₅	1	2	yes	complemented
521	C₂×C₄×Q₈	—	2	1	no	—
522	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
523	C₂×C₄×Q₈	C₂²×C₅	1	2	yes	complemented
524	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
525	#485	C₂²×C₅	1	2	yes	complemented
526	#484	C₂²×C₅	1	2	yes	complemented
527	#482	C₂²×C₅	1	2	yes	—
528	#482	C₂²×C₅	1	2	yes	—
529	#482	C₂²×C₅	1	2	yes	complemented
530	#481	C₂²×C₅	1	2	yes	—
531	#480	C₂²×C₅	1	2	yes	—
532	#480	C₂²×C₅	1	2	yes	complemented
533	#479	C₂²×C₅	1	2	yes	complemented
534	#479	C₂²×C₅	1	2	yes	complemented
535	#479	C₂²×C₅	1	2	yes	complemented
536	#478	C₂²×C₅	1	2	yes	complemented
537	#477	C₂²×C₅	1	2	yes	complemented
538	#477	C₂²×C₅	1	2	yes	complemented
539	#475	C₂²×C₅	1	2	yes	complemented
540	#474	C₂²×C₅	1	2	yes	complemented
541	#464	C₂²×C₅	1	2	yes	—
542	#464	C₂²×C₅	1	2	yes	—
543	#464	C₂²×C₅	1	2	yes	—
544	#463	C₂²×C₅	1	2	yes	—
545	#460	C₂²×C₅	1	2	yes	—
546	#460	C₂²×C₅	1	2	yes	—
547	#460	C₂²×C₅	1	2	yes	—
548	#459	C₂²×C₅	1	2	yes	—
549	#452	C₂²×C₅	1	2	yes	complemented
550	#451	C₂²×C₅	1	2	yes	complemented
551	#449	C₂²×C₅	1	2	yes	—
552	#449	C₂²×C₅	1	2	yes	—
553	#449	C₂²×C₅	1	2	yes	complemented
554	#448	C₂²×C₅	1	2	yes	—
555	#448	C₂²×C₅	1	2	yes	—
556	#448	C₂²×C₅	1	2	yes	complemented
557	#442	C₂²×C₅	1	2	yes	—
558	#442	C₂²×C₅	1	1	yes	characteristic, complemented
559	#442	C₂²×C₅	1	1	yes	characteristic, complemented
560	#441	C₂²×C₅	1	2	yes	complemented
561	#441	C₂²×C₅	1	1	yes	characteristic, complemented
562	#441	C₂²×C₅	1	1	yes	characteristic, complemented
563	#440	C₂²×C₅	1	2	yes	—
564	#440	C₂²×C₅	1	2	yes	—
565	#440	C₂²×C₅	1	2	yes	—
566	#440	C₂²×C₅	1	2	yes	—
567	#440	C₂²×C₅	1	2	yes	—
568	#440	C₂²×C₅	1	1	yes	characteristic, complemented
569	#440	C₂²×C₅	1	1	yes	characteristic, complemented
570	#440	C₂²×C₅	1	2	yes	complemented
571	#440	C₂²×C₅	1	1	yes	characteristic, complemented
572	#440	C₂²×C₅	1	1	yes	characteristic, complemented
573	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
574	C₄×SD₁₆	C₂²×C₅	1	2	yes	—
575	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
576	C₄×D₈	C₂²×C₅	1	2	yes	—
577	#433	C₂²×C₅	1	2	yes	complemented
578	#433	C₂²×C₅	1	2	yes	complemented
579	#432	C₂²×C₅	1	2	yes	complemented
580	#432	C₂²×C₅	1	2	yes	complemented
581	#428	C₂²×C₅	1	1	yes	characteristic
582	#428	C₂²×C₅	1	1	yes	characteristic
583	#427	C₂²×C₅	1	1	yes	characteristic
584	C₂×#107	C₂²×C₅	1	1	yes	characteristic
585	#424	C₂²×C₅	1	1	yes	characteristic
586	#424	C₂²×C₅	1	1	yes	characteristic
587	#419	C₂²×C₅	1	1	yes	characteristic
588	#418	C₂²×C₅	1	1	yes	characteristic
589	#417	C₂²×C₅	1	1	yes	characteristic
590	#417	C₂²×C₅	1	1	yes	characteristic
591	#416	C₂²×C₅	1	1	yes	characteristic
592	#416	C₂²×C₅	1	1	yes	characteristic
593	C₂×#103	C₂²×C₅	1	1	yes	characteristic
594	C₂×#102	C₂²×C₅	1	1	yes	characteristic
595	#408	C₂²×C₅	1	1	yes	characteristic
596	#408	C₂²×C₅	1	1	yes	characteristic
597	C₄×M₁₆	C₂²×C₅	1	1	yes	characteristic
598	C₂×#97	C₂²×C₅	1	1	yes	characteristic
599	C₂³×C₅	—	2	1	no	—
600	C₂³×C₅	—	2	2	no	—
601	C₂³×C₅	—	2	1	no	—
602	C₂³×C₅	—	4	2	no	—
603	C₂³×C₅	—	8	1	no	—
604	C₂³×C₅	—	8	1	no	—
605	C₂³×C₅	C₂²×D₄	1	2	yes	—
606	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
607	C₅×Q₈	—	2	8	no	—
608	C₅×Q₈	—	2	2	no	—
609	C₅×Q₈	—	2	4	no	—
610	C₅×Q₈	—	2	1	no	—
611	C₅×Q₈	—	2	2	no	—
612	C₅×Q₈	—	2	1	no	—
613	C₅×Q₈	—	2	1	no	—
614	C₅×Q₈	—	8	2	no	—
615	C₅×Q₈	C₂×#41	1	2	yes	—
616	C₅×Q₈	C₂×#41	1	4	yes	—
617	C₅×D₄	—	2	8	no	—
618	C₅×D₄	—	2	4	no	—
619	C₅×D₄	—	2	4	no	—
620	C₅×D₄	—	2	2	no	—
621	C₅×D₄	—	2	1	no	—
622	C₅×D₄	—	2	2	no	—
623	C₅×D₄	—	2	1	no	—
624	C₅×D₄	—	2	2	no	—
625	C₅×D₄	—	2	1	no	—
626	C₅×D₄	—	4	2	no	—
627	C₅×D₄	—	4	2	no	—
628	C₅×D₄	—	8	2	no	—
629	C₅×D₄	—	8	2	no	—
630	C₅×D₄	—	8	2	no	—
631	C₅×D₄	—	8	2	no	—
632	C₅×D₄	—	8	2	no	—
633	C₅×D₄	C₂×#41	1	2	yes	—
634	C₂×C₄×C₅	—	2	8	no	—
635	C₂×C₄×C₅	—	2	8	no	—
636	C₂×C₄×C₅	—	2	4	no	—
637	C₂×C₄×C₅	—	2	2	no	—
638	C₂×C₄×C₅	—	2	1	no	—
639	C₂×C₄×C₅	—	2	4	no	—
640	C₂×C₄×C₅	—	2	2	no	—
641	C₂×C₄×C₅	—	2	2	no	—
642	C₂×C₄×C₅	—	2	1	no	—
643	C₂×C₄×C₅	—	2	2	no	—
644	C₂×C₄×C₅	—	2	1	no	—
645	C₂×C₄×C₅	—	2	1	no	—
646	C₂×C₄×C₅	—	2	1	no	—
647	C₂×C₄×C₅	—	2	1	no	—
648	C₂×C₄×C₅	—	2	2	no	—
649	C₂×C₄×C₅	—	4	1	no	—
650	C₂×C₄×C₅	—	4	1	no	—
651	C₂×C₄×C₅	—	4	2	no	—
652	C₂×C₄×C₅	—	4	2	no	—
653	C₂×C₄×C₅	—	4	2	no	—
654	C₂×C₄×C₅	—	4	4	no	—
655	C₂×C₄×C₅	—	4	2	no	—
656	C₂×C₄×C₅	—	4	2	no	—
657	C₂×C₄×C₅	—	8	1	no	—
658	C₂×C₄×C₅	—	8	2	no	—
659	C₂×C₄×C₅	—	8	1	no	—
660	C₂×C₄×C₅	—	8	2	no	—
661	C₂×C₄×C₅	—	8	1	no	—
662	C₂×C₄×C₅	—	8	2	no	—
663	C₂×C₄×C₅	—	8	1	no	—
664	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
665	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
666	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
667	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
668	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
669	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
670	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
671	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
672	C₂×C₄×C₅	C₂×#41	1	2	yes	—
673	C₂×C₄×C₅	C₂×#41	1	2	yes	—
674	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
675	C₅×C₈	—	2	1	no	—
676	C₅×C₈	—	2	1	no	—
677	C₅×C₈	—	2	1	no	—
678	C₅×C₈	—	2	1	no	—
679	C₅×C₈	—	2	2	no	—
680	C₅×C₈	—	2	2	no	—
681	2₋¹⁺⁴	—	2	4	no	—
682	2₋¹⁺⁴	—	2	4	no	—
683	C₂×#41	—	2	2	no	—
684	C₂×#41	—	2	1	no	—
685	C₂×#41	—	2	2	no	—
686	C₂×#41	C₂³×C₅	1	1	yes	characteristic
687	C₂×#41	C₂³×C₅	1	2	yes	—
688	C₂×#41	C₂³×C₅	1	1	yes	characteristic
689	C₂×#41	C₂³×C₅	1	1	yes	characteristic
690	C₂²×Q₈	—	2	1	no	—
691	C₂²×Q₈	C₂³×C₅	1	2	yes	—
692	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
693	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
694	C₂³×C₄	—	2	1	no	—
695	#137	—	2	4	no	—
696	AGL(1,ℤ/8)	—	2	4	no	—
697	#135	—	2	4	no	—
698	C₂×Q₁₆	C₂³×C₅	1	1	yes	characteristic
699	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
700	C₂×SD₁₆	—	2	4	no	—
701	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
704	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
707	C₂×D₈	C₂³×C₅	1	1	yes	characteristic
708	C₂×D₈	C₂³×C₅	1	2	yes	—
709	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
710	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
711	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
712	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
715	#127	—	2	1	no	—
716	#127	C₂³×C₅	1	2	yes	—
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#125	—	2	1	no	—
720	#125	C₂³×C₅	1	2	yes	—
721	#124	—	2	1	no	—
722	#124	—	2	2	no	—
723	#124	—	2	2	no	—
724	#124	C₂³×C₅	1	2	yes	—
725	#123	—	2	2	no	—
726	#123	—	2	2	no	—
727	#123	—	2	2	no	—
728	#123	—	2	2	no	—
729	C₂²⋊Q₈	—	2	1	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
733	#121	—	2	2	no	—
734	#121	—	2	1	no	—
735	#121	—	2	2	no	—
736	#121	—	2	1	no	—
737	#121	—	2	1	no	—
738	#121	—	2	2	no	—
739	#121	—	2	2	no	—
740	#121	C₂³×C₅	1	2	yes	—
741	#121	C₂³×C₅	1	2	yes	—
742	#121	C₂³×C₅	1	2	yes	—
743	#120	—	2	2	no	—
744	#120	—	2	2	no	—
745	C₄×Q₈	—	2	1	no	—
746	C₄×Q₈	—	2	1	no	—
747	C₄×Q₈	—	2	2	no	—
748	C₄×Q₈	—	2	1	no	—
749	C₄×Q₈	—	2	2	no	—
750	C₄×Q₈	—	2	1	no	—
751	C₄×Q₈	—	2	2	no	—
752	C₄×Q₈	—	2	1	no	—
753	C₄×Q₈	—	2	2	no	—
754	C₄×Q₈	C₅×D₄	1	1	yes	characteristic
755	C₄×Q₈	C₅×D₄	1	1	yes	characteristic
756	C₄×Q₈	C₂³×C₅	1	2	yes	—
757	C₄×Q₈	C₂³×C₅	1	2	yes	—
758	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
759	C₄×Q₈	C₂³×C₅	1	2	yes	—
760	C₄×Q₈	C₂³×C₅	1	2	yes	—
761	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
762	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
763	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
764	C₄×Q₈	C₂³×C₅	1	2	yes	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	—	2	2	no	—
769	C₄×D₄	—	2	1	no	—
770	C₄×D₄	—	2	1	no	—
771	C₄×D₄	—	2	1	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	2	no	—
774	C₄×D₄	—	2	2	no	—
775	C₄×D₄	—	2	2	no	—
776	C₄×D₄	—	2	2	no	—
777	C₄×D₄	—	2	1	no	—
778	C₄×D₄	—	2	1	no	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	C₅×D₄	1	2	yes	—
781	C₄×D₄	C₅×D₄	1	1	yes	characteristic
782	C₄×D₄	C₅×D₄	1	2	yes	—
783	C₄×D₄	C₅×D₄	1	1	yes	characteristic
784	C₄×D₄	C₂³×C₅	1	2	yes	—
785	C₄×D₄	C₂³×C₅	1	2	yes	—
786	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
787	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
788	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
789	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
790	C₄×D₄	C₂³×C₅	1	2	yes	—
791	#117	—	2	1	no	—
792	#117	—	2	2	no	—
793	#117	—	2	2	no	—
794	#117	—	2	2	no	—
795	#117	—	2	2	no	—
796	#117	—	2	1	no	—
797	#117	—	2	1	no	—
798	#117	—	2	2	no	—
799	#117	—	2	2	no	—
800	#117	C₂³×C₅	1	1	yes	characteristic
801	#117	C₂³×C₅	1	1	yes	characteristic
802	#117	C₂³×C₅	1	2	yes	—
803	#117	C₂³×C₅	1	1	yes	characteristic
804	#117	C₂³×C₅	1	2	yes	—
805	C₂×C₄⋊C₄	—	2	1	no	—
806	C₂×C₄⋊C₄	—	2	2	no	—
807	C₂×C₄⋊C₄	—	2	1	no	—
808	C₂×C₄⋊C₄	—	2	2	no	—
809	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
812	C₂×C₂²⋊C₄	—	2	1	no	—
813	C₂×C₄²	—	2	1	no	—
814	C₂×C₄²	—	2	2	no	—
815	C₂×C₄²	—	2	1	no	—
816	C₂×C₄²	—	2	2	no	—
817	C₂×C₄²	—	2	1	no	—
818	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
819	C₂×C₄²	C₂³×C₅	1	2	yes	—
820	#107	C₂³×C₅	1	2	yes	—
821	#107	C₂³×C₅	1	2	yes	—
822	#107	C₂³×C₅	1	1	yes	characteristic
823	#107	C₂³×C₅	1	1	yes	characteristic
824	#107	C₂³×C₅	1	2	yes	—
825	#107	C₂³×C₅	1	2	yes	—
826	#106	C₂³×C₅	1	1	yes	characteristic
827	#106	C₂³×C₅	1	1	yes	characteristic
828	#106	C₂³×C₅	1	2	yes	—
829	#106	C₂³×C₅	1	2	yes	—
830	C₄⋊C₈	C₂³×C₅	1	2	yes	—
831	C₄⋊C₈	C₂³×C₅	1	2	yes	—
832	C₄⋊C₈	C₂³×C₅	1	2	yes	—
833	C₄⋊C₈	C₂³×C₅	1	2	yes	—
834	#103	C₂³×C₅	1	2	yes	—
835	#103	C₂³×C₅	1	2	yes	—
836	#103	C₂³×C₅	1	1	yes	characteristic
837	#103	C₂³×C₅	1	1	yes	characteristic
838	#103	C₂³×C₅	1	1	yes	characteristic
839	#103	C₂³×C₅	1	1	yes	characteristic
840	#103	C₂³×C₅	1	2	yes	—
841	#103	C₂³×C₅	1	2	yes	—
842	#103	C₂³×C₅	1	2	yes	—
843	#103	C₂³×C₅	1	2	yes	—
844	#102	C₂³×C₅	1	2	yes	—
845	#102	C₂³×C₅	1	2	yes	—
846	#102	C₂³×C₅	1	1	yes	characteristic
847	#102	C₂³×C₅	1	1	yes	characteristic
848	#102	C₂³×C₅	1	1	yes	characteristic
849	#102	C₂³×C₅	1	1	yes	characteristic
850	#102	C₂³×C₅	1	2	yes	—
851	#102	C₂³×C₅	1	2	yes	—
852	#102	C₂³×C₅	1	2	yes	—
853	#102	C₂³×C₅	1	2	yes	—
854	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
855	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
856	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
857	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
858	#97	C₂³×C₅	1	1	yes	characteristic
859	#97	C₂³×C₅	1	1	yes	characteristic
860	#97	C₂³×C₅	1	1	yes	characteristic
861	#97	C₂³×C₅	1	1	yes	characteristic
862	#97	C₂³×C₅	1	2	yes	—
863	C₄×C₈	C₂³×C₅	1	2	yes	—
864	C₂²×C₅	—	2	1	no	—
865	C₂²×C₅	—	2	1	no	—
866	C₂²×C₅	—	2	2	no	—
867	C₂²×C₅	—	2	2	no	—
868	C₂²×C₅	—	2	2	no	—
869	C₂²×C₅	—	2	2	no	—
870	C₂²×C₅	—	4	1	no	—
871	C₂²×C₅	—	4	1	no	—
872	C₂²×C₅	—	4	2	no	—
873	C₂²×C₅	—	4	1	no	—
874	C₂²×C₅	—	4	1	no	—
875	C₂²×C₅	—	4	2	no	—
876	C₂²×C₅	—	4	1	no	—
877	C₂²×C₅	—	4	2	no	—
878	C₂²×C₅	—	8	4	no	—
879	C₂²×C₅	#525	1	2	yes	—
880	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
881	C₄×C₅	—	2	1	no	—
882	C₄×C₅	—	2	1	no	—
883	C₄×C₅	—	2	2	no	—
884	C₄×C₅	—	2	1	no	—
885	C₄×C₅	—	2	1	no	—
886	C₄×C₅	—	2	2	no	—
887	C₄×C₅	—	2	4	no	—
888	C₄×C₅	—	2	2	no	—
889	C₄×C₅	—	2	2	no	—
890	C₄×C₅	—	4	2	no	—
891	C₄×C₅	—	4	1	no	—
892	C₄×C₅	—	4	1	no	—
893	C₄×C₅	—	4	2	no	—
894	C₄×C₅	—	4	1	no	—
895	C₄×C₅	—	4	1	no	—
896	C₄×C₅	—	4	1	no	—
897	C₄×C₅	#525	1	2	yes	—
898	C₄×C₅	C₂²×#41	1	1	yes	characteristic
899	C₄×C₅	C₂²×#41	1	1	yes	characteristic
900	C₂⁴	—	2	1	no	—
901	#41	—	2	16	no	—
902	#41	—	2	8	no	—
903	#41	—	2	4	no	—
904	#41	—	2	4	no	—
905	#41	—	2	2	no	—
906	#41	—	2	2	no	—
907	#41	—	2	2	no	—
908	#41	—	2	2	no	—
909	#41	—	2	2	no	—
910	#41	—	8	4	no	—
911	#41	C₅×#41	1	4	yes	complemented
912	C₂×Q₈	—	2	8	no	—
913	C₂×Q₈	—	2	4	no	—
914	C₂×Q₈	—	2	4	no	—
915	C₂×Q₈	—	2	2	no	—
916	C₂×Q₈	—	2	1	no	—
917	C₂×Q₈	—	2	2	no	—
918	C₂×Q₈	—	2	2	no	—
919	C₂×Q₈	C₂×C₅×D₄	1	1	yes	characteristic
920	C₂×Q₈	C₅×#41	1	4	yes	complemented
921	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
922	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
923	C₂×Q₈	C₂⁴×C₅	1	2	yes	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	1	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	2	no	—
935	C₂×D₄	C₂×C₅×D₄	1	2	yes	—
936	C₂×D₄	C₂×C₅×D₄	1	1	yes	characteristic
937	C₂×D₄	C₂⁴×C₅	1	2	yes	—
938	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
939	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	1	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	1	no	—
948	C₂²×C₄	—	2	1	no	—
949	C₂²×C₄	—	2	1	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	2	no	—
955	C₂²×C₄	—	8	2	no	—
956	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
957	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
958	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
959	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
960	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
961	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
962	Q₁₆	—	2	2	no	—
963	Q₁₆	—	2	4	no	—
964	SD₁₆	—	2	4	no	—
965	SD₁₆	—	2	4	no	—
966	SD₁₆	—	2	2	no	—
967	SD₁₆	—	2	4	no	—
968	SD₁₆	—	2	4	no	—
969	SD₁₆	—	2	2	no	—
970	D₈	—	2	2	no	—
971	D₈	—	2	4	no	—
972	M₁₆	—	2	2	no	—
973	M₁₆	—	2	2	no	—
974	C₂×C₈	—	2	2	no	—
975	C₂×C₈	—	2	2	no	—
976	C₂×C₈	C₂⁴×C₅	1	2	yes	—
977	C₂×C₈	C₂⁴×C₅	1	2	yes	—
978	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
979	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
980	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
981	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
999	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1000	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1001	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1002	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1003	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1004	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1005	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1006	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1007	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	1	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1025	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1026	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1027	C₄²	—	2	2	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	2	no	—
1033	C₄²	—	2	2	no	—
1034	C₄²	—	2	2	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	2	1	no	—
1039	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
1040	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
1041	C₄²	C₂×C₅×D₄	1	2	yes	—
1042	C₄²	C₂×C₅×D₄	1	2	yes	—
1043	C₄²	C₂⁴×C₅	1	1	yes	characteristic
1044	C₄²	C₂⁴×C₅	1	1	yes	characteristic
1045	C₄²	C₂⁴×C₅	1	2	yes	—
1046	C₂×C₅	—	2	2	no	—
1047	C₂×C₅	—	4	2	no	—
1048	C₂×C₅	—	4	2	no	—
1049	C₂×C₅	—	8	1	no	—
1050	C₂×C₅	—	8	2	no	—
1051	C₂×C₅	C₂×#525	1	1	yes	characteristic
1052	C₂×C₅	#3585	1	1	yes	characteristic
1053	C₂×C₅	#3586	1	1	yes	characteristic
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	1	no	—
1057	C₂³	—	4	2	no	—
1058	C₂³	—	8	1	no	—
1059	C₂³	—	8	1	no	—
1060	C₂³	C₂²×C₅×D₄	1	2	yes	—
1061	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1062	Q₈	—	2	8	no	—
1063	Q₈	—	2	2	no	—
1064	Q₈	—	2	4	no	—
1065	Q₈	—	2	1	no	—
1066	Q₈	—	2	2	no	—
1067	Q₈	—	2	1	no	—
1068	Q₈	—	2	1	no	—
1069	Q₈	—	8	2	no	—
1070	Q₈	C₂×C₅×#41	1	2	yes	—
1071	Q₈	C₂×C₅×#41	1	4	yes	—
1072	D₄	—	2	8	no	—
1073	D₄	—	2	4	no	—
1074	D₄	—	2	4	no	—
1075	D₄	—	2	2	no	—
1076	D₄	—	2	1	no	—
1077	D₄	—	2	2	no	—
1078	D₄	—	2	1	no	—
1079	D₄	—	2	2	no	—
1080	D₄	—	2	1	no	—
1081	D₄	—	4	2	no	—
1082	D₄	—	4	2	no	—
1083	D₄	—	8	2	no	—
1084	D₄	—	8	2	no	—
1085	D₄	—	8	2	no	—
1086	D₄	—	8	2	no	—
1087	D₄	—	8	2	no	—
1088	D₄	C₂×C₅×#41	1	2	yes	—
1089	C₂×C₄	—	2	8	no	—
1090	C₂×C₄	—	2	8	no	—
1091	C₂×C₄	—	2	4	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	4	1	no	—
1105	C₂×C₄	—	4	2	no	—
1106	C₂×C₄	—	4	1	no	—
1107	C₂×C₄	—	4	2	no	—
1108	C₂×C₄	—	4	4	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	4	2	no	—
1112	C₂×C₄	—	8	2	no	—
1113	C₂×C₄	—	8	1	no	—
1114	C₂×C₄	—	8	2	no	—
1115	C₂×C₄	—	8	1	no	—
1116	C₂×C₄	—	8	1	no	—
1117	C₂×C₄	—	8	1	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1120	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1121	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1122	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1123	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1124	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1125	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1126	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1127	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1128	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1129	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
1130	C₈	—	2	1	no	—
1131	C₈	—	2	1	no	—
1132	C₈	—	2	1	no	—
1133	C₈	—	2	1	no	—
1134	C₈	—	2	2	no	—
1135	C₈	—	2	2	no	—
1136	C₅	#60576	1	1	yes	characteristic, direct product factor, Sylow
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	2	no	—
1140	C₂²	—	2	2	no	—
1141	C₂²	—	2	2	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	4	1	no	—
1144	C₂²	—	4	1	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	8	4	no	—
1152	C₂²	C₅×#525	1	2	yes	—
1153	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1154	C₄	—	2	4	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	2	2	no	—
1157	C₄	—	2	1	no	—
1158	C₄	—	2	1	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	1	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	4	1	no	—
1164	C₄	—	4	2	no	—
1165	C₄	—	4	1	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	4	2	no	—
1168	C₄	—	4	1	no	—
1169	C₄	—	4	1	no	—
1170	C₄	C₅×#525	1	2	yes	—
1171	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1172	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1173	C₂	—	2	2	no	—
1174	C₂	—	4	2	no	—
1175	C₂	—	4	2	no	—
1176	C₂	—	8	2	no	—
1177	C₂	—	8	1	no	—
1178	C₂	C₂×C₅×#525	1	1	yes	characteristic
1179	C₂	C₅×#3585	1	1	yes	characteristic
1180	C₂	C₅×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅ ◁ C₄×C₅×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#3460	C₂	semidirect
2. C₄×C₅×2₋¹⁺⁴	C₂	semidirect
3. C₅×#3126	C₂	semidirect
4. C₅×#3124	C₂	semidirect
5. C₅×#3121	C₂	semidirect
6. C₅×#3119	C₂	semidirect
7. C₅×#3117	C₂	semidirect
8. C₅×#3115	C₂	semidirect
9. C₅×#3112	C₂	semidirect
10. C₅×#3111	C₂	semidirect
11. C₅×#3098	C₂	semidirect
12. C₅×#3096	C₂	semidirect
13. C₅×#3083	C₂	semidirect
14. C₅×#3082	C₂	semidirect
15. C₅×#3045	C₂	semidirect
16. C₅×#3043	C₂	semidirect
17. C₅×#3013	C₂	semidirect
18. C₅×#3010	C₂	semidirect
19. C₄×C₅×#137	C₂	semidirect
20. C₄×C₅×AGL(1,ℤ/8)	C₂	semidirect
21. C₅×#2943	C₂	semidirect
22. C₂×C₅×#440	C₂	semidirect
23. C₅×#2923	C₂	semidirect
47. C₅×#520	C₂²	semidirect
50. C₅×#519	C₂²	semidirect
56. C₄×C₅×#41	C₂²	semidirect
59. C₂×C₄×C₅×Q₈	C₂²	semidirect
61. C₅×#485	C₂²	semidirect
62. C₅×#484	C₂²	semidirect
65. C₅×#482	C₂²	semidirect
68. C₅×#480	C₂²	semidirect
69. C₅×#479	C₂²	semidirect
70. C₅×#479	C₂²	semidirect
71. C₅×#479	C₂²	semidirect
72. C₅×#478	C₂²	semidirect
73. C₅×#477	C₂²	semidirect
74. C₅×#477	C₂²	semidirect
75. C₅×#475	C₂²	semidirect
76. C₅×#474	C₂²	semidirect
85. C₅×#452	C₂²	semidirect
86. C₅×#451	C₂²	semidirect
89. C₅×#449	C₂²	semidirect
92. C₅×#448	C₂²	semidirect
94. C₅×#442	C₂²	semidirect
95. C₅×#442	C₂²	semidirect
96. C₅×#441	C₂²	semidirect
97. C₅×#441	C₂²	semidirect
98. C₅×#441	C₂²	semidirect
104. C₅×#440	C₂²	semidirect
105. C₅×#440	C₂²	semidirect
106. C₅×#440	C₂²	semidirect
107. C₅×#440	C₂²	semidirect
108. C₅×#440	C₂²	semidirect
109. C₄×C₅×Q₁₆	C₂²	semidirect
111. C₄×C₅×SD₁₆	C₂²	semidirect
113. C₅×#433	C₂²	semidirect
114. C₅×#433	C₂²	semidirect
115. C₅×#432	C₂²	semidirect
116. C₅×#432	C₂²	semidirect
135. #60576	C₅	direct (N × H)
319. #3460	C₂×C₅	semidirect
320. C₄×2₋¹⁺⁴	C₂×C₅	semidirect
321. #3126	C₂×C₅	semidirect
322. #3124	C₂×C₅	semidirect
323. #3121	C₂×C₅	semidirect
324. #3119	C₂×C₅	semidirect
325. #3117	C₂×C₅	semidirect
326. #3115	C₂×C₅	semidirect
327. #3112	C₂×C₅	semidirect
328. #3111	C₂×C₅	semidirect
329. #3098	C₂×C₅	semidirect
330. #3096	C₂×C₅	semidirect
331. #3083	C₂×C₅	semidirect
332. #3082	C₂×C₅	semidirect
333. #3045	C₂×C₅	semidirect
334. #3043	C₂×C₅	semidirect
335. #3013	C₂×C₅	semidirect
336. #3010	C₂×C₅	semidirect
337. C₄×#137	C₂×C₅	semidirect
338. C₄×AGL(1,ℤ/8)	C₂×C₅	semidirect
339. #2943	C₂×C₅	semidirect
340. C₂×#440	C₂×C₅	semidirect
341. #2923	C₂×C₅	semidirect
353. C₅×#41	#41	semidirect
362. C₂×C₅×Q₈	#41	semidirect
511. #520	C₂²×C₅	semidirect
514. #519	C₂²×C₅	semidirect
520. C₄×#41	C₂²×C₅	semidirect
523. C₂×C₄×Q₈	C₂²×C₅	semidirect
525. #485	C₂²×C₅	semidirect
526. #484	C₂²×C₅	semidirect
529. #482	C₂²×C₅	semidirect
532. #480	C₂²×C₅	semidirect
533. #479	C₂²×C₅	semidirect
534. #479	C₂²×C₅	semidirect
535. #479	C₂²×C₅	semidirect
536. #478	C₂²×C₅	semidirect
537. #477	C₂²×C₅	semidirect
538. #477	C₂²×C₅	semidirect
539. #475	C₂²×C₅	semidirect
540. #474	C₂²×C₅	semidirect
549. #452	C₂²×C₅	semidirect
550. #451	C₂²×C₅	semidirect
553. #449	C₂²×C₅	semidirect
556. #448	C₂²×C₅	semidirect
558. #442	C₂²×C₅	semidirect
559. #442	C₂²×C₅	semidirect
560. #441	C₂²×C₅	semidirect
561. #441	C₂²×C₅	semidirect
562. #441	C₂²×C₅	semidirect
568. #440	C₂²×C₅	semidirect
569. #440	C₂²×C₅	semidirect
570. #440	C₂²×C₅	semidirect
571. #440	C₂²×C₅	semidirect
572. #440	C₂²×C₅	semidirect
573. C₄×Q₁₆	C₂²×C₅	semidirect
575. C₄×SD₁₆	C₂²×C₅	semidirect
577. #433	C₂²×C₅	semidirect
578. #433	C₂²×C₅	semidirect
579. #432	C₂²×C₅	semidirect
580. #432	C₂²×C₅	semidirect
911. #41	C₅×#41	semidirect
920. C₂×Q₈	C₅×#41	semidirect
1136. C₅	#60576	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅×#3460	2
C₄×C₅×2₋¹⁺⁴	2
C₅×#3126	2
C₅×#3124	2
C₅×#3121	2
C₅×#3119	2
C₅×#3117	2
C₅×#3115	2
C₅×#3112	2
C₅×#3111	2
C₅×#3098	2
C₅×#3096	2
C₅×#3083	2
C₅×#3082	2
C₅×#3045	2
C₅×#3043	2
C₅×#3013	2
C₅×#3010	2
C₄×C₅×#137	2
C₄×C₅×AGL(1,ℤ/8)	2
C₅×#2943	2
C₂×C₅×#440	2
C₅×#2923	2
#60576	5

Subgroups — C5×#60576 #11983296

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#60576 #11983296