Subgroups — C₅×#60595 #11983315

Order 1280.

2014 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×C₅×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3125	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×#3121	C₂	1	2	yes	maximal, complemented
7	C₅×#3117	C₂	1	2	yes	maximal, complemented
8	C₅×#3111	C₂	1	2	yes	maximal, complemented
9	C₅×#3108	C₂	1	2	yes	maximal, complemented
10	C₅×#3102	C₂	1	2	yes	maximal, complemented
11	C₅×#3097	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#3096	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#3078	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#3076	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#3040	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₅×#464	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#3011	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#3010	C₂	1	1	yes	maximal, characteristic
19	C₅×#2950	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2949	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#2925	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	C₂²×C₅×Q₁₆	C₂²	1	1	yes	characteristic
28	C₂²×C₅×SD₁₆	C₂²	1	1	yes	characteristic
29	C₅×#559	—	2	1	no	—
30	C₅×#559	—	2	1	no	—
31	C₅×#556	—	2	1	no	—
32	C₅×#556	—	2	1	no	—
33	C₅×#551	—	2	2	no	—
34	C₅×#551	—	2	2	no	—
35	C₅×#542	C₂²	1	2	yes	—
36	C₅×#542	C₂²	1	2	yes	—
37	C₅×#536	C₂²	1	1	yes	characteristic
38	C₅×#535	C₂²	1	1	yes	characteristic
39	C₅×#533	C₂²	1	1	yes	characteristic
40	C₅×#529	C₂²	1	2	yes	—
41	C₅×#529	C₂²	1	2	yes	—
42	C₂×C₅×#124	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
51	C₅×#519	C₂²	1	2	yes	complemented
52	C₅×#518	C₂²	1	1	yes	characteristic
53	C₄×C₅×#41	—	2	2	no	—
54	C₄×C₅×#41	—	2	1	no	—
55	C₄×C₅×#41	C₂²	1	1	yes	characteristic
56	C₄×C₅×#41	C₂²	1	1	yes	characteristic
57	C₄×C₅×#41	C₂²	1	2	yes	complemented
58	C₂×C₄×C₅×Q₈	—	2	1	no	—
59	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₅×Q₈	C₂²	1	2	yes	complemented
61	C₅×#485	C₂²	1	2	yes	complemented
62	C₅×#485	C₂²	1	2	yes	complemented
63	C₅×#484	C₂²	1	2	yes	complemented
64	C₅×#483	C₂²	1	2	yes	complemented
65	C₅×#482	C₂²	1	2	yes	—
66	C₅×#482	C₂²	1	2	yes	—
67	C₅×#481	C₂²	1	2	yes	—
68	C₅×#480	C₂²	1	2	yes	—
69	C₅×#479	C₂²	1	1	yes	characteristic, complemented
70	C₅×#479	C₂²	1	1	yes	characteristic, complemented
71	C₅×#479	C₂²	1	2	yes	complemented
72	C₅×#479	C₂²	1	2	yes	complemented
73	C₅×#478	C₂²	1	1	yes	characteristic, complemented
74	C₅×#478	C₂²	1	1	yes	characteristic, complemented
75	C₅×#477	C₂²	1	1	yes	characteristic, complemented
76	C₅×#477	C₂²	1	2	yes	complemented
77	C₅×#476	C₂²	1	1	yes	characteristic, complemented
78	C₅×#475	C₂²	1	1	yes	characteristic, complemented
79	C₅×#475	C₂²	1	2	yes	complemented
80	C₅×#474	C₂²	1	1	yes	characteristic, complemented
81	C₅×#464	C₂²	1	2	yes	—
82	C₅×#464	C₂²	1	2	yes	—
83	C₅×#464	C₂²	1	2	yes	—
84	C₅×#464	C₂²	1	2	yes	—
85	C₅×#464	C₂²	1	2	yes	—
86	C₅×#464	C₂²	1	2	yes	—
87	C₅×#463	C₂²	1	2	yes	—
88	C₅×#463	C₂²	1	2	yes	—
89	C₅×#452	C₂²	1	2	yes	complemented
90	C₅×#452	C₂²	1	2	yes	complemented
91	C₅×#451	C₂²	1	2	yes	complemented
92	C₅×#451	C₂²	1	2	yes	complemented
93	C₅×#449	C₂²	1	2	yes	—
94	C₅×#449	C₂²	1	2	yes	—
95	C₅×#448	C₂²	1	2	yes	—
96	C₅×#448	C₂²	1	2	yes	—
97	C₅×#442	C₂²	1	2	yes	—
98	C₅×#441	C₂²	1	2	yes	complemented
99	C₅×#441	C₂²	1	2	yes	complemented
100	C₅×#441	C₂²	1	2	yes	complemented
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	2	yes	complemented
105	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
106	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
107	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
108	C₄×C₅×SD₁₆	C₂²	1	2	yes	—
109	C₄×C₅×SD₁₆	C₂²	1	2	yes	—
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×#431	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	C₅×#427	C₂²	1	1	yes	characteristic
121	C₅×#423	C₂²	1	1	yes	characteristic
122	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
123	C₅×#419	C₂²	1	1	yes	characteristic
124	C₅×#419	C₂²	1	1	yes	characteristic
125	C₅×#419	C₂²	1	1	yes	characteristic
126	C₅×#418	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	C₅×#405	C₂²	1	1	yes	characteristic
134	C₅×#405	C₂²	1	1	yes	characteristic
135	#60595	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	C₂³	1	2	yes	—
141	C₂×C₅×#41	C₂³	1	1	yes	characteristic
142	C₂×C₅×#41	C₂³	1	1	yes	characteristic
143	C₂²×C₅×Q₈	—	2	1	no	—
144	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
145	C₂²×C₅×Q₈	C₂³	1	2	yes	—
146	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
147	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
148	C₅×#137	—	2	4	no	—
149	C₅×AGL(1,ℤ/8)	—	2	4	no	—
150	C₂×C₅×Q₁₆	—	2	4	no	—
151	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₅×SD₁₆	—	2	4	no	—
155	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
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×D₈	C₂³	1	2	yes	—
160	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
162	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
163	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
164	C₅×C₄⋊Q₈	—	2	1	no	—
165	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₅×#127	—	2	1	no	—
168	C₅×#126	—	2	2	no	—
169	C₅×#126	—	2	2	no	—
170	C₅×#126	—	2	2	no	—
171	C₅×#126	—	2	2	no	—
172	C₅×#125	C₂³	1	1	yes	characteristic
173	C₅×#125	C₂³	1	1	yes	characteristic
174	C₅×#124	—	2	1	no	—
175	C₅×#124	—	2	1	no	—
176	C₅×#124	—	2	2	no	—
177	C₅×#124	—	2	2	no	—
178	C₅×#124	—	2	1	no	—
179	C₅×#124	—	2	1	no	—
180	C₅×#124	C₂³	1	2	yes	—
181	C₅×#124	C₂³	1	2	yes	—
182	C₅×#123	—	2	2	no	—
183	C₅×#123	—	2	2	no	—
184	C₅×#123	—	2	2	no	—
185	C₅×#123	—	2	2	no	—
186	C₅×#123	—	2	2	no	—
187	C₅×C₂²⋊Q₈	—	2	1	no	—
188	C₅×C₂²⋊Q₈	—	2	1	no	—
189	C₅×C₂²⋊Q₈	—	2	2	no	—
190	C₅×C₂²⋊Q₈	—	2	2	no	—
191	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
192	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
193	C₅×#121	C₂³	1	2	yes	—
194	C₅×#121	C₂³	1	2	yes	—
195	C₅×#120	—	2	2	no	—
196	C₄×C₅×Q₈	—	2	1	no	—
197	C₄×C₅×Q₈	—	2	1	no	—
198	C₄×C₅×Q₈	—	2	2	no	—
199	C₄×C₅×Q₈	—	2	1	no	—
200	C₄×C₅×Q₈	—	2	2	no	—
201	C₄×C₅×Q₈	—	2	1	no	—
202	C₄×C₅×Q₈	—	2	1	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	1	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	2	yes	—
212	C₄×C₅×Q₈	C₂³	1	2	yes	—
213	C₄×C₅×Q₈	C₂³	1	2	yes	—
214	C₄×C₅×Q₈	C₂³	1	2	yes	—
215	C₄×C₅×Q₈	C₂³	1	2	yes	—
216	C₄×C₅×Q₈	C₂³	1	2	yes	—
217	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
218	C₄×C₅×Q₈	C₂³	1	2	yes	—
219	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
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	2	no	—
226	C₄×C₅×D₄	—	2	2	no	—
227	C₄×C₅×D₄	—	2	2	no	—
228	C₄×C₅×D₄	—	2	1	no	—
229	C₄×C₅×D₄	—	2	1	no	—
230	C₄×C₅×D₄	—	2	2	no	—
231	C₄×C₅×D₄	—	2	2	no	—
232	C₄×C₅×D₄	—	2	2	no	—
233	C₄×C₅×D₄	D₄	1	2	yes	—
234	C₄×C₅×D₄	D₄	1	1	yes	characteristic
235	C₄×C₅×D₄	D₄	1	2	yes	—
236	C₄×C₅×D₄	D₄	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	2	yes	—
238	C₄×C₅×D₄	C₂³	1	2	yes	—
239	C₄×C₅×D₄	C₂³	1	2	yes	—
240	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₅×#117	—	2	1	no	—
243	C₅×#117	—	2	2	no	—
244	C₅×#117	—	2	2	no	—
245	C₅×#117	—	2	2	no	—
246	C₅×#117	—	2	2	no	—
247	C₅×#117	—	2	2	no	—
248	C₅×#117	—	2	1	no	—
249	C₅×#117	—	2	2	no	—
250	C₅×#117	—	2	2	no	—
251	C₅×#117	—	2	2	no	—
252	C₅×#117	C₂³	1	1	yes	characteristic
253	C₅×#117	C₂³	1	1	yes	characteristic
254	C₅×#117	C₂³	1	1	yes	characteristic
255	C₅×#117	C₂³	1	2	yes	—
256	C₅×#117	C₂³	1	1	yes	characteristic
257	C₅×#117	C₂³	1	2	yes	—
258	C₂×C₅×C₄⋊C₄	—	2	1	no	—
259	C₂×C₅×C₄⋊C₄	—	2	2	no	—
260	C₂×C₅×C₄⋊C₄	—	2	1	no	—
261	C₂×C₅×C₄⋊C₄	—	2	2	no	—
262	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₄²×C₅	—	2	1	no	—
268	C₂×C₄²×C₅	—	2	2	no	—
269	C₂×C₄²×C₅	—	2	1	no	—
270	C₂×C₄²×C₅	—	2	2	no	—
271	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
272	C₂×C₄²×C₅	C₂³	1	2	yes	—
273	C₅×#107	C₂³	1	1	yes	characteristic
274	C₅×#107	C₂³	1	1	yes	characteristic
275	C₅×#107	C₂³	1	1	yes	characteristic
276	C₅×#107	C₂³	1	1	yes	characteristic
277	C₅×#107	C₂³	1	2	yes	—
278	C₅×#107	C₂³	1	2	yes	—
279	C₅×#106	C₂³	1	1	yes	characteristic
280	C₅×#106	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
286	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₅×C₄⋊C₈	C₂³	1	2	yes	—
290	C₅×C₄⋊C₈	C₂³	1	2	yes	—
291	C₅×#103	C₂³	1	2	yes	—
292	C₅×#103	C₂³	1	2	yes	—
293	C₅×#103	C₂³	1	1	yes	characteristic
294	C₅×#103	C₂³	1	1	yes	characteristic
295	C₅×#103	C₂³	1	1	yes	characteristic
296	C₅×#103	C₂³	1	1	yes	characteristic
297	C₅×#103	C₂³	1	2	yes	—
298	C₅×#103	C₂³	1	2	yes	—
299	C₅×#103	C₂³	1	2	yes	—
300	C₅×#103	C₂³	1	2	yes	—
301	C₅×#103	C₂³	1	2	yes	—
302	C₅×#103	C₂³	1	2	yes	—
303	C₅×#102	C₂³	1	2	yes	—
304	C₅×#102	C₂³	1	2	yes	—
305	C₅×#102	C₂³	1	1	yes	characteristic
306	C₅×#102	C₂³	1	1	yes	characteristic
307	C₅×#102	C₂³	1	1	yes	characteristic
308	C₅×#102	C₂³	1	1	yes	characteristic
309	C₅×#102	C₂³	1	2	yes	—
310	C₅×#102	C₂³	1	2	yes	—
311	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
314	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
315	C₅×#97	C₂³	1	2	yes	—
316	C₅×#97	C₂³	1	2	yes	—
317	C₄×C₅×C₈	C₂³	1	2	yes	—
318	C₄×C₅×C₈	C₂³	1	2	yes	—
319	#3510	C₂×C₅	1	1	yes	characteristic, complemented
320	C₄×2₋¹⁺⁴	C₂×C₅	1	1	yes	characteristic, complemented
321	#3125	C₂×C₅	1	2	yes	complemented
322	#3124	C₂×C₅	1	2	yes	complemented
323	#3121	C₂×C₅	1	2	yes	complemented
324	#3121	C₂×C₅	1	2	yes	complemented
325	#3117	C₂×C₅	1	2	yes	complemented
326	#3111	C₂×C₅	1	2	yes	complemented
327	#3108	C₂×C₅	1	2	yes	complemented
328	#3102	C₂×C₅	1	2	yes	complemented
329	#3097	C₂×C₅	1	1	yes	characteristic, complemented
330	#3096	C₂×C₅	1	1	yes	characteristic, complemented
331	#3078	C₂×C₅	1	1	yes	characteristic, complemented
332	#3076	C₂×C₅	1	1	yes	characteristic, complemented
333	#3040	C₂×C₅	1	1	yes	characteristic, complemented
334	C₂×#464	C₂×C₅	1	1	yes	characteristic, complemented
335	#3011	C₂×C₅	1	1	yes	characteristic, complemented
336	#3010	C₂×C₅	1	1	yes	characteristic
337	#2950	C₂×C₅	1	1	yes	characteristic, complemented
338	#2949	C₂×C₅	1	1	yes	characteristic, complemented
339	#2947	C₂×C₅	1	1	yes	characteristic, complemented
340	#2946	C₂×C₅	1	1	yes	characteristic, complemented
341	#2925	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	#41	1	4	yes	—
351	C₂×C₅×Q₈	—	2	8	no	—
352	C₂×C₅×Q₈	—	2	4	no	—
353	C₂×C₅×Q₈	—	2	4	no	—
354	C₂×C₅×Q₈	—	2	2	no	—
355	C₂×C₅×Q₈	—	2	1	no	—
356	C₂×C₅×Q₈	—	2	1	no	—
357	C₂×C₅×Q₈	—	2	1	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	—	2	2	no	—
362	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
363	C₂×C₅×Q₈	#41	1	4	yes	—
364	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
365	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
366	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
367	C₂×C₅×D₄	—	2	2	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	1	no	—
372	C₂×C₅×D₄	—	2	2	no	—
373	C₂×C₅×D₄	—	2	2	no	—
374	C₂×C₅×D₄	C₂×D₄	1	2	yes	—
375	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
376	C₂×C₅×D₄	C₂⁴	1	2	yes	—
377	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₅	—	2	2	no	—
379	C₂²×C₄×C₅	—	2	1	no	—
380	C₂²×C₄×C₅	—	2	2	no	—
381	C₂²×C₄×C₅	—	2	1	no	—
382	C₂²×C₄×C₅	—	2	1	no	—
383	C₂²×C₄×C₅	—	2	2	no	—
384	C₂²×C₄×C₅	—	2	1	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	2	no	—
389	C₂²×C₄×C₅	—	2	2	no	—
390	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
392	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
394	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₅×Q₁₆	—	2	4	no	—
397	C₅×Q₁₆	—	2	4	no	—
398	C₅×Q₁₆	—	2	4	no	—
399	C₅×SD₁₆	—	2	4	no	—
400	C₅×SD₁₆	—	2	4	no	—
401	C₅×SD₁₆	—	2	4	no	—
402	C₅×SD₁₆	—	2	4	no	—
403	C₅×D₈	—	2	4	no	—
404	C₅×M₁₆	—	2	2	no	—
405	C₅×M₁₆	—	2	2	no	—
406	C₂×C₅×C₈	—	2	2	no	—
407	C₂×C₅×C₈	—	2	2	no	—
408	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
409	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
410	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
411	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
412	C₂×C₅×C₈	C₂⁴	1	2	yes	—
413	C₂×C₅×C₈	C₂⁴	1	2	yes	—
414	C₅×C₄⋊C₄	—	2	2	no	—
415	C₅×C₄⋊C₄	—	2	2	no	—
416	C₅×C₄⋊C₄	—	2	2	no	—
417	C₅×C₄⋊C₄	—	2	2	no	—
418	C₅×C₄⋊C₄	—	2	1	no	—
419	C₅×C₄⋊C₄	—	2	2	no	—
420	C₅×C₄⋊C₄	—	2	1	no	—
421	C₅×C₄⋊C₄	—	2	2	no	—
422	C₅×C₄⋊C₄	—	2	1	no	—
423	C₅×C₄⋊C₄	—	2	1	no	—
424	C₅×C₄⋊C₄	—	2	1	no	—
425	C₅×C₄⋊C₄	—	2	2	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	1	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	C₂×D₄	1	1	yes	characteristic
434	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
435	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
436	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
437	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
438	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
439	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
440	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
441	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
442	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
443	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
444	C₅×C₂²⋊C₄	—	2	1	no	—
445	C₅×C₂²⋊C₄	—	2	2	no	—
446	C₅×C₂²⋊C₄	—	2	1	no	—
447	C₅×C₂²⋊C₄	—	2	1	no	—
448	C₅×C₂²⋊C₄	—	2	2	no	—
449	C₅×C₂²⋊C₄	—	2	2	no	—
450	C₅×C₂²⋊C₄	—	2	2	no	—
451	C₅×C₂²⋊C₄	—	2	2	no	—
452	C₅×C₂²⋊C₄	—	2	2	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	2	no	—
458	C₅×C₂²⋊C₄	—	2	1	no	—
459	C₅×C₂²⋊C₄	—	2	2	no	—
460	C₅×C₂²⋊C₄	—	2	2	no	—
461	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
462	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
463	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
464	C₄²×C₅	—	2	2	no	—
465	C₄²×C₅	—	2	1	no	—
466	C₄²×C₅	—	2	2	no	—
467	C₄²×C₅	—	2	1	no	—
468	C₄²×C₅	—	2	2	no	—
469	C₄²×C₅	—	2	2	no	—
470	C₄²×C₅	—	2	2	no	—
471	C₄²×C₅	—	2	2	no	—
472	C₄²×C₅	—	2	1	no	—
473	C₄²×C₅	—	2	2	no	—
474	C₄²×C₅	—	2	2	no	—
475	C₄²×C₅	—	2	1	no	—
476	C₄²×C₅	—	2	1	no	—
477	C₄²×C₅	C₂×D₄	1	2	yes	—
478	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
479	C₄²×C₅	C₂×D₄	1	2	yes	—
480	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
481	C₄²×C₅	C₂⁴	1	1	yes	characteristic
482	C₄²×C₅	C₂⁴	1	2	yes	—
483	C₄²×C₅	C₂⁴	1	1	yes	characteristic
484	C₂×2₋¹⁺⁴	C₂²×C₅	1	1	yes	characteristic
485	C₂×#137	C₂²×C₅	1	1	yes	characteristic
486	C₂×AGL(1,ℤ/8)	C₂²×C₅	1	1	yes	characteristic
487	C₂²×Q₁₆	C₂²×C₅	1	1	yes	characteristic
488	C₂²×SD₁₆	C₂²×C₅	1	1	yes	characteristic
489	#559	—	2	1	no	—
490	#559	—	2	1	no	—
491	#556	—	2	1	no	—
492	#556	—	2	1	no	—
493	#551	—	2	2	no	—
494	#551	—	2	2	no	—
495	#542	C₂²×C₅	1	2	yes	—
496	#542	C₂²×C₅	1	2	yes	—
497	#536	C₂²×C₅	1	1	yes	characteristic
498	#535	C₂²×C₅	1	1	yes	characteristic
499	#533	C₂²×C₅	1	1	yes	characteristic
500	#529	C₂²×C₅	1	2	yes	—
501	#529	C₂²×C₅	1	2	yes	—
502	C₂×#124	C₂²×C₅	1	1	yes	characteristic
503	#520	—	2	2	no	—
504	#520	—	2	1	no	—
505	#520	C₂²×C₅	1	1	yes	characteristic
506	#520	C₂²×C₅	1	1	yes	characteristic
507	#520	C₂²×C₅	1	2	yes	complemented
508	#519	—	2	1	no	—
509	#519	C₂²×C₅	1	1	yes	characteristic
510	#519	C₂²×C₅	1	1	yes	characteristic
511	#519	C₂²×C₅	1	2	yes	complemented
512	#518	C₂²×C₅	1	1	yes	characteristic
513	C₄×#41	—	2	2	no	—
514	C₄×#41	—	2	1	no	—
515	C₄×#41	C₂²×C₅	1	1	yes	characteristic
516	C₄×#41	C₂²×C₅	1	1	yes	characteristic
517	C₄×#41	C₂²×C₅	1	2	yes	complemented
518	C₂×C₄×Q₈	—	2	1	no	—
519	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
520	C₂×C₄×Q₈	C₂²×C₅	1	2	yes	complemented
521	#485	C₂²×C₅	1	2	yes	complemented
522	#485	C₂²×C₅	1	2	yes	complemented
523	#484	C₂²×C₅	1	2	yes	complemented
524	#483	C₂²×C₅	1	2	yes	complemented
525	#482	C₂²×C₅	1	2	yes	—
526	#482	C₂²×C₅	1	2	yes	—
527	#481	C₂²×C₅	1	2	yes	—
528	#480	C₂²×C₅	1	2	yes	—
529	#479	C₂²×C₅	1	1	yes	characteristic, complemented
530	#479	C₂²×C₅	1	1	yes	characteristic, complemented
531	#479	C₂²×C₅	1	2	yes	complemented
532	#479	C₂²×C₅	1	2	yes	complemented
533	#478	C₂²×C₅	1	1	yes	characteristic, complemented
534	#478	C₂²×C₅	1	1	yes	characteristic, complemented
535	#477	C₂²×C₅	1	1	yes	characteristic, complemented
536	#477	C₂²×C₅	1	2	yes	complemented
537	#476	C₂²×C₅	1	1	yes	characteristic, complemented
538	#475	C₂²×C₅	1	1	yes	characteristic, complemented
539	#475	C₂²×C₅	1	2	yes	complemented
540	#474	C₂²×C₅	1	1	yes	characteristic, complemented
541	#464	C₂²×C₅	1	2	yes	—
542	#464	C₂²×C₅	1	2	yes	—
543	#464	C₂²×C₅	1	2	yes	—
544	#464	C₂²×C₅	1	2	yes	—
545	#464	C₂²×C₅	1	2	yes	—
546	#464	C₂²×C₅	1	2	yes	—
547	#463	C₂²×C₅	1	2	yes	—
548	#463	C₂²×C₅	1	2	yes	—
549	#452	C₂²×C₅	1	2	yes	complemented
550	#452	C₂²×C₅	1	2	yes	complemented
551	#451	C₂²×C₅	1	2	yes	complemented
552	#451	C₂²×C₅	1	2	yes	complemented
553	#449	C₂²×C₅	1	2	yes	—
554	#449	C₂²×C₅	1	2	yes	—
555	#448	C₂²×C₅	1	2	yes	—
556	#448	C₂²×C₅	1	2	yes	—
557	#442	C₂²×C₅	1	2	yes	—
558	#441	C₂²×C₅	1	2	yes	complemented
559	#441	C₂²×C₅	1	2	yes	complemented
560	#441	C₂²×C₅	1	2	yes	complemented
561	#440	C₂²×C₅	1	2	yes	—
562	#440	C₂²×C₅	1	2	yes	—
563	#440	C₂²×C₅	1	2	yes	—
564	#440	C₂²×C₅	1	2	yes	complemented
565	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
566	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
567	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
568	C₄×SD₁₆	C₂²×C₅	1	2	yes	—
569	C₄×SD₁₆	C₂²×C₅	1	2	yes	—
570	C₄×SD₁₆	C₂²×C₅	1	2	yes	—
571	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
572	C₄×D₈	C₂²×C₅	1	2	yes	—
573	#433	C₂²×C₅	1	2	yes	complemented
574	#433	C₂²×C₅	1	2	yes	complemented
575	#432	C₂²×C₅	1	2	yes	complemented
576	#431	C₂²×C₅	1	2	yes	complemented
577	#428	C₂²×C₅	1	1	yes	characteristic
578	#428	C₂²×C₅	1	1	yes	characteristic
579	#427	C₂²×C₅	1	1	yes	characteristic
580	#427	C₂²×C₅	1	1	yes	characteristic
581	#423	C₂²×C₅	1	1	yes	characteristic
582	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
583	#419	C₂²×C₅	1	1	yes	characteristic
584	#419	C₂²×C₅	1	1	yes	characteristic
585	#419	C₂²×C₅	1	1	yes	characteristic
586	#418	C₂²×C₅	1	1	yes	characteristic
587	#416	C₂²×C₅	1	1	yes	characteristic
588	#416	C₂²×C₅	1	1	yes	characteristic
589	C₂×#103	C₂²×C₅	1	1	yes	characteristic
590	C₂×#102	C₂²×C₅	1	1	yes	characteristic
591	#408	C₂²×C₅	1	1	yes	characteristic
592	#408	C₂²×C₅	1	1	yes	characteristic
593	#405	C₂²×C₅	1	1	yes	characteristic
594	#405	C₂²×C₅	1	1	yes	characteristic
595	C₂³×C₅	—	2	1	no	—
596	C₂³×C₅	—	2	2	no	—
597	C₂³×C₅	—	4	2	no	—
598	C₂³×C₅	—	8	1	no	—
599	C₂³×C₅	—	8	1	no	—
600	C₂³×C₅	C₂²×D₄	1	2	yes	—
601	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
602	C₅×Q₈	—	2	8	no	—
603	C₅×Q₈	—	2	2	no	—
604	C₅×Q₈	—	2	4	no	—
605	C₅×Q₈	—	2	1	no	—
606	C₅×Q₈	—	2	2	no	—
607	C₅×Q₈	—	2	2	no	—
608	C₅×Q₈	—	2	2	no	—
609	C₅×Q₈	—	4	2	no	—
610	C₅×Q₈	—	8	1	no	—
611	C₅×Q₈	—	8	1	no	—
612	C₅×Q₈	C₂×#41	1	2	yes	—
613	C₅×Q₈	C₂×#41	1	4	yes	—
614	C₅×D₄	—	2	8	no	—
615	C₅×D₄	—	2	4	no	—
616	C₅×D₄	—	2	4	no	—
617	C₅×D₄	—	2	2	no	—
618	C₅×D₄	—	2	1	no	—
619	C₅×D₄	—	2	2	no	—
620	C₅×D₄	—	2	2	no	—
621	C₅×D₄	—	4	2	no	—
622	C₅×D₄	—	8	2	no	—
623	C₅×D₄	—	8	2	no	—
624	C₅×D₄	C₂×#41	1	2	yes	—
625	C₂×C₄×C₅	—	2	8	no	—
626	C₂×C₄×C₅	—	2	8	no	—
627	C₂×C₄×C₅	—	2	4	no	—
628	C₂×C₄×C₅	—	2	2	no	—
629	C₂×C₄×C₅	—	2	1	no	—
630	C₂×C₄×C₅	—	2	4	no	—
631	C₂×C₄×C₅	—	2	2	no	—
632	C₂×C₄×C₅	—	2	2	no	—
633	C₂×C₄×C₅	—	2	1	no	—
634	C₂×C₄×C₅	—	2	2	no	—
635	C₂×C₄×C₅	—	2	1	no	—
636	C₂×C₄×C₅	—	2	1	no	—
637	C₂×C₄×C₅	—	2	1	no	—
638	C₂×C₄×C₅	—	2	2	no	—
639	C₂×C₄×C₅	—	2	1	no	—
640	C₂×C₄×C₅	—	2	1	no	—
641	C₂×C₄×C₅	—	4	2	no	—
642	C₂×C₄×C₅	—	4	1	no	—
643	C₂×C₄×C₅	—	4	2	no	—
644	C₂×C₄×C₅	—	4	1	no	—
645	C₂×C₄×C₅	—	4	2	no	—
646	C₂×C₄×C₅	—	4	2	no	—
647	C₂×C₄×C₅	—	8	2	no	—
648	C₂×C₄×C₅	—	8	2	no	—
649	C₂×C₄×C₅	—	8	1	no	—
650	C₂×C₄×C₅	—	8	2	no	—
651	C₂×C₄×C₅	—	8	1	no	—
652	C₂×C₄×C₅	—	8	2	no	—
653	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
654	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
655	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
656	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
657	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
658	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
659	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
661	C₂×C₄×C₅	C₂×#41	1	2	yes	—
662	C₂×C₄×C₅	C₂×#41	1	2	yes	—
663	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
664	C₅×C₈	—	2	1	no	—
665	C₅×C₈	—	2	1	no	—
666	C₅×C₈	—	2	1	no	—
667	C₅×C₈	—	2	1	no	—
668	C₅×C₈	—	2	2	no	—
669	C₅×C₈	—	2	2	no	—
670	2₋¹⁺⁴	—	2	4	no	—
671	2₋¹⁺⁴	—	2	4	no	—
672	C₂×#41	—	2	2	no	—
673	C₂×#41	—	2	1	no	—
674	C₂×#41	C₂³×C₅	1	2	yes	—
675	C₂×#41	C₂³×C₅	1	1	yes	characteristic
676	C₂×#41	C₂³×C₅	1	1	yes	characteristic
677	C₂²×Q₈	—	2	1	no	—
678	C₂²×Q₈	C₂³×C₅	1	2	yes	—
679	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
680	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
681	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
682	#137	—	2	4	no	—
683	AGL(1,ℤ/8)	—	2	4	no	—
684	C₂×Q₁₆	—	2	4	no	—
685	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
686	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
687	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
688	C₂×SD₁₆	—	2	4	no	—
689	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
690	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
691	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
692	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
693	C₂×D₈	C₂³×C₅	1	2	yes	—
694	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
695	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
696	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
697	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
698	C₄⋊Q₈	—	2	1	no	—
699	C₄⋊Q₈	C₂³×C₅	1	1	yes	characteristic
700	C₄⋊Q₈	C₂³×C₅	1	1	yes	characteristic
701	#127	—	2	1	no	—
702	#126	—	2	2	no	—
703	#126	—	2	2	no	—
704	#126	—	2	2	no	—
705	#126	—	2	2	no	—
706	#125	C₂³×C₅	1	1	yes	characteristic
707	#125	C₂³×C₅	1	1	yes	characteristic
708	#124	—	2	1	no	—
709	#124	—	2	1	no	—
710	#124	—	2	2	no	—
711	#124	—	2	2	no	—
712	#124	—	2	1	no	—
713	#124	—	2	1	no	—
714	#124	C₂³×C₅	1	2	yes	—
715	#124	C₂³×C₅	1	2	yes	—
716	#123	—	2	2	no	—
717	#123	—	2	2	no	—
718	#123	—	2	2	no	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	C₂²⋊Q₈	—	2	1	no	—
722	C₂²⋊Q₈	—	2	1	no	—
723	C₂²⋊Q₈	—	2	2	no	—
724	C₂²⋊Q₈	—	2	2	no	—
725	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
726	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
727	#121	C₂³×C₅	1	2	yes	—
728	#121	C₂³×C₅	1	2	yes	—
729	#120	—	2	2	no	—
730	C₄×Q₈	—	2	1	no	—
731	C₄×Q₈	—	2	1	no	—
732	C₄×Q₈	—	2	2	no	—
733	C₄×Q₈	—	2	1	no	—
734	C₄×Q₈	—	2	2	no	—
735	C₄×Q₈	—	2	1	no	—
736	C₄×Q₈	—	2	1	no	—
737	C₄×Q₈	—	2	1	no	—
738	C₄×Q₈	—	2	2	no	—
739	C₄×Q₈	—	2	1	no	—
740	C₄×Q₈	—	2	2	no	—
741	C₄×Q₈	—	2	1	no	—
742	C₄×Q₈	—	2	1	no	—
743	C₄×Q₈	C₅×D₄	1	1	yes	characteristic
744	C₄×Q₈	C₅×D₄	1	1	yes	characteristic
745	C₄×Q₈	C₂³×C₅	1	2	yes	—
746	C₄×Q₈	C₂³×C₅	1	2	yes	—
747	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
748	C₄×Q₈	C₂³×C₅	1	2	yes	—
749	C₄×Q₈	C₂³×C₅	1	2	yes	—
750	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
751	C₄×Q₈	C₂³×C₅	1	2	yes	—
752	C₄×Q₈	C₂³×C₅	1	2	yes	—
753	C₄×Q₈	C₂³×C₅	1	2	yes	—
754	C₄×D₄	—	2	2	no	—
755	C₄×D₄	—	2	1	no	—
756	C₄×D₄	—	2	1	no	—
757	C₄×D₄	—	2	2	no	—
758	C₄×D₄	—	2	1	no	—
759	C₄×D₄	—	2	2	no	—
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	1	no	—
763	C₄×D₄	—	2	1	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	2	no	—
767	C₄×D₄	C₅×D₄	1	2	yes	—
768	C₄×D₄	C₅×D₄	1	1	yes	characteristic
769	C₄×D₄	C₅×D₄	1	2	yes	—
770	C₄×D₄	C₅×D₄	1	1	yes	characteristic
771	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
772	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
773	C₄×D₄	C₂³×C₅	1	2	yes	—
774	C₄×D₄	C₂³×C₅	1	2	yes	—
775	C₄×D₄	C₂³×C₅	1	2	yes	—
776	#117	—	2	1	no	—
777	#117	—	2	2	no	—
778	#117	—	2	2	no	—
779	#117	—	2	2	no	—
780	#117	—	2	2	no	—
781	#117	—	2	2	no	—
782	#117	—	2	1	no	—
783	#117	—	2	2	no	—
784	#117	—	2	2	no	—
785	#117	—	2	2	no	—
786	#117	C₂³×C₅	1	1	yes	characteristic
787	#117	C₂³×C₅	1	2	yes	—
788	#117	C₂³×C₅	1	1	yes	characteristic
789	#117	C₂³×C₅	1	1	yes	characteristic
790	#117	C₂³×C₅	1	1	yes	characteristic
791	#117	C₂³×C₅	1	2	yes	—
792	C₂×C₄⋊C₄	—	2	1	no	—
793	C₂×C₄⋊C₄	—	2	2	no	—
794	C₂×C₄⋊C₄	—	2	1	no	—
795	C₂×C₄⋊C₄	—	2	2	no	—
796	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
798	C₂×C₂²⋊C₄	—	2	1	no	—
799	C₂×C₂²⋊C₄	—	2	1	no	—
800	C₂×C₂²⋊C₄	—	2	2	no	—
801	C₂×C₄²	—	2	1	no	—
802	C₂×C₄²	—	2	2	no	—
803	C₂×C₄²	—	2	1	no	—
804	C₂×C₄²	—	2	2	no	—
805	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
806	C₂×C₄²	C₂³×C₅	1	2	yes	—
807	#107	C₂³×C₅	1	1	yes	characteristic
808	#107	C₂³×C₅	1	1	yes	characteristic
809	#107	C₂³×C₅	1	1	yes	characteristic
810	#107	C₂³×C₅	1	1	yes	characteristic
811	#107	C₂³×C₅	1	2	yes	—
812	#107	C₂³×C₅	1	2	yes	—
813	#106	C₂³×C₅	1	1	yes	characteristic
814	#106	C₂³×C₅	1	1	yes	characteristic
815	#106	C₂³×C₅	1	1	yes	characteristic
816	#106	C₂³×C₅	1	1	yes	characteristic
817	#106	C₂³×C₅	1	2	yes	—
818	#106	C₂³×C₅	1	2	yes	—
819	C₄⋊C₈	C₂³×C₅	1	1	yes	characteristic
820	C₄⋊C₈	C₂³×C₅	1	1	yes	characteristic
821	C₄⋊C₈	C₂³×C₅	1	1	yes	characteristic
822	C₄⋊C₈	C₂³×C₅	1	1	yes	characteristic
823	C₄⋊C₈	C₂³×C₅	1	2	yes	—
824	C₄⋊C₈	C₂³×C₅	1	2	yes	—
825	#103	C₂³×C₅	1	2	yes	—
826	#103	C₂³×C₅	1	2	yes	—
827	#103	C₂³×C₅	1	1	yes	characteristic
828	#103	C₂³×C₅	1	1	yes	characteristic
829	#103	C₂³×C₅	1	1	yes	characteristic
830	#103	C₂³×C₅	1	1	yes	characteristic
831	#103	C₂³×C₅	1	2	yes	—
832	#103	C₂³×C₅	1	2	yes	—
833	#103	C₂³×C₅	1	2	yes	—
834	#103	C₂³×C₅	1	2	yes	—
835	#103	C₂³×C₅	1	2	yes	—
836	#103	C₂³×C₅	1	2	yes	—
837	#102	C₂³×C₅	1	2	yes	—
838	#102	C₂³×C₅	1	2	yes	—
839	#102	C₂³×C₅	1	1	yes	characteristic
840	#102	C₂³×C₅	1	1	yes	characteristic
841	#102	C₂³×C₅	1	1	yes	characteristic
842	#102	C₂³×C₅	1	1	yes	characteristic
843	#102	C₂³×C₅	1	2	yes	—
844	#102	C₂³×C₅	1	2	yes	—
845	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
846	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
847	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
848	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
849	#97	C₂³×C₅	1	2	yes	—
850	#97	C₂³×C₅	1	2	yes	—
851	C₄×C₈	C₂³×C₅	1	2	yes	—
852	C₄×C₈	C₂³×C₅	1	2	yes	—
853	C₂²×C₅	—	2	1	no	—
854	C₂²×C₅	—	2	1	no	—
855	C₂²×C₅	—	2	2	no	—
856	C₂²×C₅	—	2	2	no	—
857	C₂²×C₅	—	2	2	no	—
858	C₂²×C₅	—	2	2	no	—
859	C₂²×C₅	—	4	1	no	—
860	C₂²×C₅	—	4	1	no	—
861	C₂²×C₅	—	4	2	no	—
862	C₂²×C₅	—	4	2	no	—
863	C₂²×C₅	—	4	2	no	—
864	C₂²×C₅	—	16	2	no	—
865	C₂²×C₅	#525	1	2	yes	—
866	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
867	C₄×C₅	—	2	1	no	—
868	C₄×C₅	—	2	2	no	—
869	C₄×C₅	—	2	1	no	—
870	C₄×C₅	—	2	1	no	—
871	C₄×C₅	—	2	2	no	—
872	C₄×C₅	—	2	1	no	—
873	C₄×C₅	—	2	4	no	—
874	C₄×C₅	—	2	2	no	—
875	C₄×C₅	—	2	2	no	—
876	C₄×C₅	—	4	2	no	—
877	C₄×C₅	—	4	1	no	—
878	C₄×C₅	—	4	1	no	—
879	C₄×C₅	—	4	1	no	—
880	C₄×C₅	—	4	1	no	—
881	C₄×C₅	—	4	1	no	—
882	C₄×C₅	—	4	1	no	—
883	C₄×C₅	—	4	2	no	—
884	C₄×C₅	#525	1	2	yes	—
885	C₄×C₅	C₂²×#41	1	1	yes	characteristic
886	C₄×C₅	C₂²×#41	1	1	yes	characteristic
887	C₂⁴	—	2	1	no	—
888	#41	—	2	16	no	—
889	#41	—	2	8	no	—
890	#41	—	2	4	no	—
891	#41	—	2	4	no	—
892	#41	—	2	2	no	—
893	#41	—	2	2	no	—
894	#41	—	2	2	no	—
895	#41	C₅×#41	1	4	yes	—
896	C₂×Q₈	—	2	8	no	—
897	C₂×Q₈	—	2	4	no	—
898	C₂×Q₈	—	2	4	no	—
899	C₂×Q₈	—	2	2	no	—
900	C₂×Q₈	—	2	1	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	1	no	—
903	C₂×Q₈	—	2	1	no	—
904	C₂×Q₈	—	2	2	no	—
905	C₂×Q₈	—	2	2	no	—
906	C₂×Q₈	—	2	2	no	—
907	C₂×Q₈	C₂×C₅×D₄	1	1	yes	characteristic
908	C₂×Q₈	C₅×#41	1	4	yes	—
909	C₂×Q₈	C₂⁴×C₅	1	2	yes	—
910	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
911	C₂×Q₈	C₂⁴×C₅	1	2	yes	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	1	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	C₂×C₅×D₄	1	2	yes	—
920	C₂×D₄	C₂×C₅×D₄	1	1	yes	characteristic
921	C₂×D₄	C₂⁴×C₅	1	2	yes	—
922	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	1	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
936	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
937	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
938	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
939	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
940	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
941	Q₁₆	—	2	4	no	—
942	Q₁₆	—	2	4	no	—
943	Q₁₆	—	2	4	no	—
944	SD₁₆	—	2	4	no	—
945	SD₁₆	—	2	4	no	—
946	SD₁₆	—	2	4	no	—
947	SD₁₆	—	2	4	no	—
948	D₈	—	2	4	no	—
949	M₁₆	—	2	2	no	—
950	M₁₆	—	2	2	no	—
951	C₂×C₈	—	2	2	no	—
952	C₂×C₈	—	2	2	no	—
953	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
954	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
955	C₂×C₈	C₂⁴×C₅	1	2	yes	—
956	C₂×C₈	C₂⁴×C₅	1	2	yes	—
957	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
958	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
979	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
980	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
981	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
982	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
983	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
986	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1007	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	2	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	1	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	C₂×C₅×D₄	1	2	yes	—
1023	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
1024	C₄²	C₂×C₅×D₄	1	2	yes	—
1025	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
1026	C₄²	C₂⁴×C₅	1	2	yes	—
1027	C₄²	C₂⁴×C₅	1	1	yes	characteristic
1028	C₄²	C₂⁴×C₅	1	1	yes	characteristic
1029	C₂×C₅	—	2	2	no	—
1030	C₂×C₅	—	4	2	no	—
1031	C₂×C₅	—	4	2	no	—
1032	C₂×C₅	—	8	2	no	—
1033	C₂×C₅	C₂×#525	1	1	yes	characteristic
1034	C₂×C₅	#3584	1	1	yes	characteristic
1035	C₂×C₅	#3586	1	1	yes	characteristic
1036	C₂³	—	2	1	no	—
1037	C₂³	—	2	2	no	—
1038	C₂³	—	4	2	no	—
1039	C₂³	—	8	1	no	—
1040	C₂³	—	8	1	no	—
1041	C₂³	C₂²×C₅×D₄	1	2	yes	—
1042	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1043	Q₈	—	2	8	no	—
1044	Q₈	—	2	2	no	—
1045	Q₈	—	2	4	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	2	2	no	—
1048	Q₈	—	2	2	no	—
1049	Q₈	—	2	2	no	—
1050	Q₈	—	4	2	no	—
1051	Q₈	—	8	1	no	—
1052	Q₈	—	8	1	no	—
1053	Q₈	C₂×C₅×#41	1	2	yes	—
1054	Q₈	C₂×C₅×#41	1	4	yes	—
1055	D₄	—	2	8	no	—
1056	D₄	—	2	4	no	—
1057	D₄	—	2	4	no	—
1058	D₄	—	2	2	no	—
1059	D₄	—	2	1	no	—
1060	D₄	—	2	2	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	4	2	no	—
1063	D₄	—	8	2	no	—
1064	D₄	—	8	2	no	—
1065	D₄	C₂×C₅×#41	1	2	yes	—
1066	C₂×C₄	—	2	8	no	—
1067	C₂×C₄	—	2	8	no	—
1068	C₂×C₄	—	2	4	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	4	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	4	2	no	—
1083	C₂×C₄	—	4	1	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	1	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	4	2	no	—
1088	C₂×C₄	—	8	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	1	no	—
1091	C₂×C₄	—	8	2	no	—
1092	C₂×C₄	—	8	1	no	—
1093	C₂×C₄	—	8	2	no	—
1094	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1095	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1096	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1097	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1098	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1099	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1100	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1101	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1102	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1103	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1104	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
1105	C₈	—	2	1	no	—
1106	C₈	—	2	1	no	—
1107	C₈	—	2	1	no	—
1108	C₈	—	2	1	no	—
1109	C₈	—	2	2	no	—
1110	C₈	—	2	2	no	—
1111	C₅	#60595	1	1	yes	characteristic, direct product factor, Sylow
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	16	2	no	—
1124	C₂²	C₅×#525	1	2	yes	—
1125	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1126	C₄	—	2	4	no	—
1127	C₄	—	2	2	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	1	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	2	1	no	—
1132	C₄	—	2	1	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	C₅×#525	1	2	yes	—
1144	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1145	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1146	C₂	—	2	2	no	—
1147	C₂	—	4	2	no	—
1148	C₂	—	4	2	no	—
1149	C₂	—	8	2	no	—
1150	C₂	C₂×C₅×#525	1	1	yes	characteristic
1151	C₂	C₅×#3584	1	1	yes	characteristic
1152	C₂	C₅×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅
prime radical	C₅×#3010	C₂
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×#3510	C₂	semidirect
2. C₄×C₅×2₋¹⁺⁴	C₂	semidirect
3. C₅×#3125	C₂	semidirect
4. C₅×#3124	C₂	semidirect
5. C₅×#3121	C₂	semidirect
6. C₅×#3121	C₂	semidirect
7. C₅×#3117	C₂	semidirect
8. C₅×#3111	C₂	semidirect
9. C₅×#3108	C₂	semidirect
10. C₅×#3102	C₂	semidirect
11. C₅×#3097	C₂	semidirect
12. C₅×#3096	C₂	semidirect
13. C₅×#3078	C₂	semidirect
14. C₅×#3076	C₂	semidirect
15. C₅×#3040	C₂	semidirect
16. C₂×C₅×#464	C₂	semidirect
17. C₅×#3011	C₂	semidirect
19. C₅×#2950	C₂	semidirect
20. C₅×#2949	C₂	semidirect
21. C₅×#2947	C₂	semidirect
22. C₅×#2946	C₂	semidirect
23. C₅×#2925	C₂	semidirect
47. C₅×#520	C₂²	semidirect
51. C₅×#519	C₂²	semidirect
57. C₄×C₅×#41	C₂²	semidirect
60. C₂×C₄×C₅×Q₈	C₂²	semidirect
61. C₅×#485	C₂²	semidirect
62. C₅×#485	C₂²	semidirect
63. C₅×#484	C₂²	semidirect
64. C₅×#483	C₂²	semidirect
69. C₅×#479	C₂²	semidirect
70. C₅×#479	C₂²	semidirect
71. C₅×#479	C₂²	semidirect
72. C₅×#479	C₂²	semidirect
73. C₅×#478	C₂²	semidirect
74. C₅×#478	C₂²	semidirect
75. C₅×#477	C₂²	semidirect
76. C₅×#477	C₂²	semidirect
77. C₅×#476	C₂²	semidirect
78. C₅×#475	C₂²	semidirect
79. C₅×#475	C₂²	semidirect
80. C₅×#474	C₂²	semidirect
89. C₅×#452	C₂²	semidirect
90. C₅×#452	C₂²	semidirect
91. C₅×#451	C₂²	semidirect
92. C₅×#451	C₂²	semidirect
98. C₅×#441	C₂²	semidirect
99. C₅×#441	C₂²	semidirect
100. C₅×#441	C₂²	semidirect
104. C₅×#440	C₂²	semidirect
105. C₄×C₅×Q₁₆	C₂²	semidirect
106. C₄×C₅×Q₁₆	C₂²	semidirect
107. 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×#431	C₂²	semidirect
135. #60595	C₅	direct (N × H)
319. #3510	C₂×C₅	semidirect
320. C₄×2₋¹⁺⁴	C₂×C₅	semidirect
321. #3125	C₂×C₅	semidirect
322. #3124	C₂×C₅	semidirect
323. #3121	C₂×C₅	semidirect
324. #3121	C₂×C₅	semidirect
325. #3117	C₂×C₅	semidirect
326. #3111	C₂×C₅	semidirect
327. #3108	C₂×C₅	semidirect
328. #3102	C₂×C₅	semidirect
329. #3097	C₂×C₅	semidirect
330. #3096	C₂×C₅	semidirect
331. #3078	C₂×C₅	semidirect
332. #3076	C₂×C₅	semidirect
333. #3040	C₂×C₅	semidirect
334. C₂×#464	C₂×C₅	semidirect
335. #3011	C₂×C₅	semidirect
337. #2950	C₂×C₅	semidirect
338. #2949	C₂×C₅	semidirect
339. #2947	C₂×C₅	semidirect
340. #2946	C₂×C₅	semidirect
341. #2925	C₂×C₅	semidirect
507. #520	C₂²×C₅	semidirect
511. #519	C₂²×C₅	semidirect
517. C₄×#41	C₂²×C₅	semidirect
520. C₂×C₄×Q₈	C₂²×C₅	semidirect
521. #485	C₂²×C₅	semidirect
522. #485	C₂²×C₅	semidirect
523. #484	C₂²×C₅	semidirect
524. #483	C₂²×C₅	semidirect
529. #479	C₂²×C₅	semidirect
530. #479	C₂²×C₅	semidirect
531. #479	C₂²×C₅	semidirect
532. #479	C₂²×C₅	semidirect
533. #478	C₂²×C₅	semidirect
534. #478	C₂²×C₅	semidirect
535. #477	C₂²×C₅	semidirect
536. #477	C₂²×C₅	semidirect
537. #476	C₂²×C₅	semidirect
538. #475	C₂²×C₅	semidirect
539. #475	C₂²×C₅	semidirect
540. #474	C₂²×C₅	semidirect
549. #452	C₂²×C₅	semidirect
550. #452	C₂²×C₅	semidirect
551. #451	C₂²×C₅	semidirect
552. #451	C₂²×C₅	semidirect
558. #441	C₂²×C₅	semidirect
559. #441	C₂²×C₅	semidirect
560. #441	C₂²×C₅	semidirect
564. #440	C₂²×C₅	semidirect
565. C₄×Q₁₆	C₂²×C₅	semidirect
566. C₄×Q₁₆	C₂²×C₅	semidirect
567. C₄×Q₁₆	C₂²×C₅	semidirect
571. C₄×SD₁₆	C₂²×C₅	semidirect
573. #433	C₂²×C₅	semidirect
574. #433	C₂²×C₅	semidirect
575. #432	C₂²×C₅	semidirect
576. #431	C₂²×C₅	semidirect
1111. C₅	#60595	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×#3510	2
C₄×C₅×2₋¹⁺⁴	2
C₅×#3125	2
C₅×#3124	2
C₅×#3121	2
C₅×#3117	2
C₅×#3111	2
C₅×#3108	2
C₅×#3102	2
C₅×#3097	2
C₅×#3096	2
C₅×#3078	2
C₅×#3076	2
C₅×#3040	2
C₂×C₅×#464	2
C₅×#3011	2
C₅×#3010	2
C₅×#2950	2
C₅×#2949	2
C₅×#2947	2
C₅×#2946	2
C₅×#2925	2
#60595	5

Subgroups — C5×#60595 #11983315

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#60595 #11983315