Subgroups — C₅×#60571 #11983291

Order 1280.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1184 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3461	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×C₅×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3125	C₂	1	2	yes	maximal, complemented
4	C₅×#3123	C₂	1	2	yes	maximal, complemented
5	C₅×#3120	C₂	1	2	yes	maximal, complemented
6	C₅×#3118	C₂	1	2	yes	maximal, complemented
7	C₅×#3107	C₂	1	2	yes	maximal, complemented
8	C₅×#3105	C₂	1	2	yes	maximal, complemented
9	C₅×#3102	C₂	1	2	yes	maximal, complemented
10	C₅×#3101	C₂	1	2	yes	maximal, complemented
11	C₅×#3099	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#3097	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#3084	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#3081	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#3046	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3042	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#3012	C₂	1	1	yes	maximal, characteristic
18	C₅×#3009	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	C₄×C₅×#135	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×C₅×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#2922	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₅×H(5,𝔽₂)	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, complemented
30	C₅×#542	—	2	1	no	—
31	C₅×#542	C₂²	1	2	yes	complemented
32	C₅×#541	—	2	1	no	—
33	C₅×#541	C₂²	1	2	yes	complemented
34	C₅×#539	—	2	2	no	—
35	C₅×#537	C₂²	1	1	yes	characteristic
36	C₅×#536	C₂²	1	1	yes	characteristic
37	C₅×#536	C₂²	1	1	yes	characteristic, complemented
38	C₅×#533	—	2	1	no	—
39	C₅×#533	C₂²	1	2	yes	complemented
40	C₅×#529	—	2	2	no	—
41	C₅×#529	—	2	1	no	—
42	C₅×#529	C₂²	1	2	yes	complemented
43	C₅×#520	—	2	1	no	—
44	C₅×#520	C₂²	1	1	yes	characteristic
45	C₅×#520	C₂²	1	2	yes	—
46	C₅×#520	C₂²	1	1	yes	characteristic
47	C₅×#518	—	2	2	no	—
48	C₅×#518	—	2	1	no	—
49	C₅×#518	C₂²	1	1	yes	characteristic
50	C₅×#518	C₂²	1	2	yes	—
51	C₄×C₅×#41	—	2	1	no	—
52	C₄×C₅×#41	C₂²	1	2	yes	—
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, complemented
56	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×C₅×D₄	—	2	1	no	—
58	C₂×C₄×C₅×D₄	—	2	2	no	—
59	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
60	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
61	C₅×#485	C₂²	1	2	yes	complemented
62	C₅×#485	C₂²	1	2	yes	complemented
63	C₅×#485	C₂²	1	2	yes	complemented
64	C₅×#484	C₂²	1	2	yes	complemented
65	C₅×#483	C₂²	1	2	yes	complemented
66	C₅×#483	C₂²	1	2	yes	complemented
67	C₅×#482	C₂²	1	2	yes	complemented
68	C₅×#481	C₂²	1	2	yes	complemented
69	C₅×#479	C₂²	1	2	yes	complemented
70	C₅×#478	C₂²	1	2	yes	complemented
71	C₅×#478	C₂²	1	2	yes	complemented
72	C₅×#478	C₂²	1	2	yes	complemented
73	C₅×#476	C₂²	1	2	yes	complemented
74	C₅×#476	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	complemented
78	C₅×#463	C₂²	1	2	yes	complemented
79	C₅×#463	C₂²	1	2	yes	complemented
80	C₅×#463	C₂²	1	2	yes	complemented
81	C₅×#462	C₂²	1	2	yes	complemented
82	C₅×#461	C₂²	1	2	yes	complemented
83	C₅×#461	C₂²	1	2	yes	complemented
84	C₅×#461	C₂²	1	2	yes	complemented
85	C₅×#452	C₂²	1	2	yes	—
86	C₅×#452	C₂²	1	2	yes	—
87	C₅×#452	C₂²	1	2	yes	—
88	C₅×#450	C₂²	1	2	yes	—
89	C₅×#450	C₂²	1	2	yes	—
90	C₅×#450	C₂²	1	2	yes	—
91	C₅×#449	C₂²	1	2	yes	—
92	C₅×#447	C₂²	1	2	yes	—
93	C₅×#442	C₂²	1	2	yes	complemented
94	C₅×#441	C₂²	1	2	yes	complemented
95	C₅×#440	C₂²	1	2	yes	complemented
96	C₅×#440	C₂²	1	2	yes	complemented
97	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
98	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
99	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
100	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
101	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
102	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
103	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
104	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
105	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
106	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
107	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
109	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₅×D₈	C₂²	1	2	yes	complemented
111	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
113	C₅×#433	C₂²	1	2	yes	complemented
114	C₅×#433	C₂²	1	2	yes	complemented
115	C₅×#431	C₂²	1	2	yes	complemented
116	C₅×#431	C₂²	1	2	yes	complemented
117	C₅×#428	C₂²	1	1	yes	characteristic, complemented
118	C₅×#428	C₂²	1	1	yes	characteristic, complemented
119	C₅×#427	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₅×#106	C₂²	1	1	yes	characteristic, complemented
121	C₅×#424	C₂²	1	1	yes	characteristic, complemented
122	C₅×#424	C₂²	1	1	yes	characteristic, complemented
123	C₅×#419	C₂²	1	1	yes	characteristic, complemented
124	C₅×#418	C₂²	1	1	yes	characteristic
125	C₅×#417	C₂²	1	1	yes	characteristic
126	C₅×#417	C₂²	1	1	yes	characteristic, complemented
127	C₅×#416	C₂²	1	1	yes	characteristic
128	C₅×#416	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₅×#103	C₂²	1	1	yes	characteristic, complemented
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, complemented
134	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic, complemented
135	#60571	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₅×H(5,𝔽₂)	—	2	4	no	—
137	C₅×H(5,𝔽₂)	—	2	4	no	—
138	C₂×C₅×#41	—	2	1	no	—
139	C₂×C₅×#41	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
144	C₂²×C₅×D₄	—	2	2	no	—
145	C₂²×C₅×D₄	—	2	1	no	—
146	C₂²×C₅×D₄	C₂³	1	2	yes	—
147	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₅	—	2	1	no	—
149	C₂³×C₄×C₅	—	2	2	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	1	yes	characteristic
154	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₅×SD₁₆	—	2	4	no	—
156	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
157	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
158	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
163	C₂×C₅×D₈	C₂³	1	2	yes	—
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	—	2	1	no	—
170	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₅×#126	—	2	2	no	—
173	C₅×#126	—	2	2	no	—
174	C₅×#126	—	2	2	no	—
175	C₅×#126	—	2	2	no	—
176	C₅×#125	—	2	2	no	—
177	C₅×#125	—	2	1	no	—
178	C₅×#125	—	2	2	no	—
179	C₅×#125	—	2	2	no	—
180	C₅×#125	C₂³	1	2	yes	—
181	C₅×#124	—	2	1	no	—
182	C₅×#124	—	2	2	no	—
183	C₅×#124	C₂³	1	2	yes	—
184	C₅×#123	—	2	2	no	—
185	C₅×#123	—	2	2	no	—
186	C₅×#123	—	2	2	no	—
187	C₅×#123	—	2	2	no	—
188	C₅×C₂²⋊Q₈	—	2	1	no	—
189	C₅×C₂²⋊Q₈	—	2	2	no	—
190	C₅×C₂²⋊Q₈	—	2	1	no	—
191	C₅×C₂²⋊Q₈	—	2	1	no	—
192	C₅×C₂²⋊Q₈	—	2	2	no	—
193	C₅×C₂²⋊Q₈	—	2	2	no	—
194	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
195	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₅×#121	—	2	2	no	—
198	C₅×#121	—	2	1	no	—
199	C₅×#121	C₂³	1	2	yes	—
200	C₄×C₅×Q₈	—	2	1	no	—
201	C₄×C₅×Q₈	—	2	1	no	—
202	C₄×C₅×Q₈	—	2	1	no	—
203	C₄×C₅×Q₈	—	2	2	no	—
204	C₄×C₅×Q₈	D₄	1	1	yes	characteristic
205	C₄×C₅×Q₈	D₄	1	1	yes	characteristic
206	C₄×C₅×Q₈	C₂³	1	2	yes	—
207	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
208	C₄×C₅×Q₈	C₂³	1	2	yes	—
209	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
210	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
211	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
212	C₄×C₅×Q₈	C₂³	1	2	yes	—
213	C₄×C₅×D₄	—	2	2	no	—
214	C₄×C₅×D₄	—	2	1	no	—
215	C₄×C₅×D₄	—	2	1	no	—
216	C₄×C₅×D₄	—	2	2	no	—
217	C₄×C₅×D₄	—	2	1	no	—
218	C₄×C₅×D₄	—	2	2	no	—
219	C₄×C₅×D₄	—	2	1	no	—
220	C₄×C₅×D₄	—	2	1	no	—
221	C₄×C₅×D₄	—	2	2	no	—
222	C₄×C₅×D₄	—	2	1	no	—
223	C₄×C₅×D₄	—	2	2	no	—
224	C₄×C₅×D₄	—	2	2	no	—
225	C₄×C₅×D₄	—	2	1	no	—
226	C₄×C₅×D₄	—	2	2	no	—
227	C₄×C₅×D₄	—	2	2	no	—
228	C₄×C₅×D₄	—	2	2	no	—
229	C₄×C₅×D₄	—	2	1	no	—
230	C₄×C₅×D₄	—	2	2	no	—
231	C₄×C₅×D₄	—	2	1	no	—
232	C₄×C₅×D₄	—	2	2	no	—
233	C₄×C₅×D₄	D₄	1	1	yes	characteristic
234	C₄×C₅×D₄	D₄	1	2	yes	—
235	C₄×C₅×D₄	D₄	1	2	yes	—
236	C₄×C₅×D₄	D₄	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₄×C₅×D₄	C₂³	1	2	yes	—
239	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₄×C₅×D₄	C₂³	1	2	yes	—
243	C₄×C₅×D₄	C₂³	1	2	yes	—
244	C₄×C₅×D₄	C₂³	1	2	yes	—
245	C₄×C₅×D₄	C₂³	1	2	yes	—
246	C₅×#117	—	2	2	no	—
247	C₅×#117	—	2	2	no	—
248	C₅×#117	—	2	1	no	—
249	C₅×#117	—	2	1	no	—
250	C₅×#117	—	2	2	no	—
251	C₅×#117	—	2	1	no	—
252	C₅×#117	—	2	2	no	—
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	1	no	—
260	C₂×C₅×C₄⋊C₄	—	2	2	no	—
261	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	no	—
266	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
269	C₂×C₄²×C₅	—	2	1	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	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	2	yes	—
280	C₅×#106	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	2	yes	—
314	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
315	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
316	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
317	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
318	C₄×C₅×C₈	C₂³	1	2	yes	—
319	#3461	C₂×C₅	1	1	yes	characteristic, complemented
320	C₄×H(5,𝔽₂)	C₂×C₅	1	1	yes	characteristic, complemented
321	#3125	C₂×C₅	1	2	yes	complemented
322	#3123	C₂×C₅	1	2	yes	complemented
323	#3120	C₂×C₅	1	2	yes	complemented
324	#3118	C₂×C₅	1	2	yes	complemented
325	#3107	C₂×C₅	1	2	yes	complemented
326	#3105	C₂×C₅	1	2	yes	complemented
327	#3102	C₂×C₅	1	2	yes	complemented
328	#3101	C₂×C₅	1	2	yes	complemented
329	#3099	C₂×C₅	1	1	yes	characteristic, complemented
330	#3097	C₂×C₅	1	1	yes	characteristic, complemented
331	#3084	C₂×C₅	1	1	yes	characteristic, complemented
332	#3081	C₂×C₅	1	1	yes	characteristic, complemented
333	#3046	C₂×C₅	1	1	yes	characteristic, complemented
334	#3042	C₂×C₅	1	1	yes	characteristic, complemented
335	#3012	C₂×C₅	1	1	yes	characteristic
336	#3009	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	C₄×#135	C₂×C₅	1	1	yes	characteristic, complemented
340	C₂×C₄×SD₁₆	C₂×C₅	1	1	yes	characteristic, complemented
341	#2922	C₂×C₅	1	1	yes	characteristic, complemented
342	C₂⁴×C₅	—	2	2	no	—
343	C₂⁴×C₅	—	2	1	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	#41	1	4	yes	—
353	C₂×C₅×Q₈	—	2	1	no	—
354	C₂×C₅×Q₈	—	2	2	no	—
355	C₂×C₅×Q₈	—	2	2	no	—
356	C₂×C₅×Q₈	—	2	2	no	—
357	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
358	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
359	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
360	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
361	C₂×C₅×D₄	—	2	16	no	—
362	C₂×C₅×D₄	—	2	8	no	—
363	C₂×C₅×D₄	—	2	2	no	—
364	C₂×C₅×D₄	—	2	1	no	—
365	C₂×C₅×D₄	—	2	4	no	—
366	C₂×C₅×D₄	—	2	4	no	—
367	C₂×C₅×D₄	—	2	1	no	—
368	C₂×C₅×D₄	—	2	2	no	—
369	C₂×C₅×D₄	—	2	2	no	—
370	C₂×C₅×D₄	—	2	1	no	—
371	C₂×C₅×D₄	—	2	2	no	—
372	C₂×C₅×D₄	C₂×D₄	1	2	yes	—
373	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
374	C₂×C₅×D₄	#41	1	4	yes	—
375	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
376	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
377	C₂×C₅×D₄	C₂⁴	1	2	yes	—
378	C₂²×C₄×C₅	—	2	2	no	—
379	C₂²×C₄×C₅	—	2	1	no	—
380	C₂²×C₄×C₅	—	2	1	no	—
381	C₂²×C₄×C₅	—	2	1	no	—
382	C₂²×C₄×C₅	—	2	2	no	—
383	C₂²×C₄×C₅	—	2	1	no	—
384	C₂²×C₄×C₅	—	2	1	no	—
385	C₂²×C₄×C₅	—	2	1	no	—
386	C₂²×C₄×C₅	—	2	1	no	—
387	C₂²×C₄×C₅	—	2	2	no	—
388	C₂²×C₄×C₅	—	2	1	no	—
389	C₂²×C₄×C₅	—	2	2	no	—
390	C₂²×C₄×C₅	—	2	1	no	—
391	C₂²×C₄×C₅	—	2	2	no	—
392	C₂²×C₄×C₅	—	2	2	no	—
393	C₂²×C₄×C₅	—	2	2	no	—
394	C₂²×C₄×C₅	—	8	2	no	—
395	C₂²×C₄×C₅	—	8	4	no	—
396	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
398	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
400	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
401	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
402	C₅×Q₁₆	—	2	2	no	—
403	C₅×Q₁₆	—	2	4	no	—
404	C₅×SD₁₆	—	2	2	no	—
405	C₅×SD₁₆	—	2	4	no	—
406	C₅×SD₁₆	—	2	4	no	—
407	C₅×SD₁₆	—	2	2	no	—
408	C₅×SD₁₆	—	2	4	no	—
409	C₅×SD₁₆	—	2	4	no	—
410	C₅×D₈	—	2	2	no	—
411	C₅×D₈	—	2	4	no	—
412	C₅×M₁₆	—	2	2	no	—
413	C₅×M₁₆	—	2	2	no	—
414	C₂×C₅×C₈	—	2	2	no	—
415	C₂×C₅×C₈	—	2	2	no	—
416	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
417	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
418	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
419	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
420	C₂×C₅×C₈	C₂⁴	1	2	yes	—
421	C₂×C₅×C₈	C₂⁴	1	2	yes	—
422	C₅×C₄⋊C₄	—	2	1	no	—
423	C₅×C₄⋊C₄	—	2	2	no	—
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	1	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	2	no	—
433	C₅×C₄⋊C₄	—	2	2	no	—
434	C₅×C₄⋊C₄	—	2	2	no	—
435	C₅×C₄⋊C₄	—	2	2	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	2	yes	—
443	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	2	no	—
453	C₅×C₂²⋊C₄	—	2	2	no	—
454	C₅×C₂²⋊C₄	—	2	1	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	2	no	—
459	C₅×C₂²⋊C₄	—	2	2	no	—
460	C₅×C₂²⋊C₄	—	2	2	no	—
461	C₅×C₂²⋊C₄	—	2	2	no	—
462	C₅×C₂²⋊C₄	—	2	1	no	—
463	C₅×C₂²⋊C₄	—	2	1	no	—
464	C₅×C₂²⋊C₄	—	2	1	no	—
465	C₅×C₂²⋊C₄	—	2	2	no	—
466	C₅×C₂²⋊C₄	—	2	2	no	—
467	C₅×C₂²⋊C₄	—	2	2	no	—
468	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
469	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
470	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
471	C₄²×C₅	—	2	1	no	—
472	C₄²×C₅	—	2	2	no	—
473	C₄²×C₅	—	2	2	no	—
474	C₄²×C₅	—	2	1	no	—
475	C₄²×C₅	—	2	1	no	—
476	C₄²×C₅	—	2	1	no	—
477	C₄²×C₅	—	2	2	no	—
478	C₄²×C₅	—	2	1	no	—
479	C₄²×C₅	—	2	2	no	—
480	C₄²×C₅	—	2	1	no	—
481	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
482	C₄²×C₅	C₂×D₄	1	2	yes	—
483	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
484	C₄²×C₅	C₂×D₄	1	2	yes	—
485	C₄²×C₅	C₂⁴	1	1	yes	characteristic
486	C₄²×C₅	C₂⁴	1	2	yes	—
487	C₄²×C₅	C₂⁴	1	1	yes	characteristic
488	C₂×H(5,𝔽₂)	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, complemented
494	#542	—	2	1	no	—
495	#542	C₂²×C₅	1	2	yes	complemented
496	#541	—	2	1	no	—
497	#541	C₂²×C₅	1	2	yes	complemented
498	#539	—	2	2	no	—
499	#537	C₂²×C₅	1	1	yes	characteristic
500	#536	C₂²×C₅	1	1	yes	characteristic
501	#536	C₂²×C₅	1	1	yes	characteristic, complemented
502	#533	—	2	1	no	—
503	#533	C₂²×C₅	1	2	yes	complemented
504	#529	—	2	2	no	—
505	#529	—	2	1	no	—
506	#529	C₂²×C₅	1	2	yes	complemented
507	#520	—	2	1	no	—
508	#520	C₂²×C₅	1	1	yes	characteristic
509	#520	C₂²×C₅	1	2	yes	—
510	#520	C₂²×C₅	1	1	yes	characteristic
511	#518	—	2	2	no	—
512	#518	—	2	1	no	—
513	#518	C₂²×C₅	1	1	yes	characteristic
514	#518	C₂²×C₅	1	2	yes	—
515	C₄×#41	—	2	1	no	—
516	C₄×#41	C₂²×C₅	1	2	yes	—
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, complemented
520	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
521	C₂×C₄×D₄	—	2	1	no	—
522	C₂×C₄×D₄	—	2	2	no	—
523	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
524	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
525	#485	C₂²×C₅	1	2	yes	complemented
526	#485	C₂²×C₅	1	2	yes	complemented
527	#485	C₂²×C₅	1	2	yes	complemented
528	#484	C₂²×C₅	1	2	yes	complemented
529	#483	C₂²×C₅	1	2	yes	complemented
530	#483	C₂²×C₅	1	2	yes	complemented
531	#482	C₂²×C₅	1	2	yes	complemented
532	#481	C₂²×C₅	1	2	yes	complemented
533	#479	C₂²×C₅	1	2	yes	complemented
534	#478	C₂²×C₅	1	2	yes	complemented
535	#478	C₂²×C₅	1	2	yes	complemented
536	#478	C₂²×C₅	1	2	yes	complemented
537	#476	C₂²×C₅	1	2	yes	complemented
538	#476	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	complemented
542	#463	C₂²×C₅	1	2	yes	complemented
543	#463	C₂²×C₅	1	2	yes	complemented
544	#463	C₂²×C₅	1	2	yes	complemented
545	#462	C₂²×C₅	1	2	yes	complemented
546	#461	C₂²×C₅	1	2	yes	complemented
547	#461	C₂²×C₅	1	2	yes	complemented
548	#461	C₂²×C₅	1	2	yes	complemented
549	#452	C₂²×C₅	1	2	yes	—
550	#452	C₂²×C₅	1	2	yes	—
551	#452	C₂²×C₅	1	2	yes	—
552	#450	C₂²×C₅	1	2	yes	—
553	#450	C₂²×C₅	1	2	yes	—
554	#450	C₂²×C₅	1	2	yes	—
555	#449	C₂²×C₅	1	2	yes	—
556	#447	C₂²×C₅	1	2	yes	—
557	#442	C₂²×C₅	1	2	yes	complemented
558	#441	C₂²×C₅	1	2	yes	complemented
559	#440	C₂²×C₅	1	2	yes	complemented
560	#440	C₂²×C₅	1	2	yes	complemented
561	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
562	C₄×Q₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
563	C₄×Q₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
564	C₄×SD₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
565	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
566	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
567	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
568	C₄×SD₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
569	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
570	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
571	C₄×SD₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
572	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
573	C₄×SD₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
574	C₄×D₈	C₂²×C₅	1	2	yes	complemented
575	C₄×D₈	C₂²×C₅	1	1	yes	characteristic, complemented
576	C₄×D₈	C₂²×C₅	1	1	yes	characteristic, complemented
577	#433	C₂²×C₅	1	2	yes	complemented
578	#433	C₂²×C₅	1	2	yes	complemented
579	#431	C₂²×C₅	1	2	yes	complemented
580	#431	C₂²×C₅	1	2	yes	complemented
581	#428	C₂²×C₅	1	1	yes	characteristic, complemented
582	#428	C₂²×C₅	1	1	yes	characteristic, complemented
583	#427	C₂²×C₅	1	1	yes	characteristic, complemented
584	C₂×#106	C₂²×C₅	1	1	yes	characteristic, complemented
585	#424	C₂²×C₅	1	1	yes	characteristic, complemented
586	#424	C₂²×C₅	1	1	yes	characteristic, complemented
587	#419	C₂²×C₅	1	1	yes	characteristic, complemented
588	#418	C₂²×C₅	1	1	yes	characteristic
589	#417	C₂²×C₅	1	1	yes	characteristic
590	#417	C₂²×C₅	1	1	yes	characteristic, complemented
591	#416	C₂²×C₅	1	1	yes	characteristic
592	#416	C₂²×C₅	1	1	yes	characteristic, complemented
593	C₂×#103	C₂²×C₅	1	1	yes	characteristic, complemented
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, complemented
598	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic, complemented
599	C₂³×C₅	—	2	8	no	—
600	C₂³×C₅	—	2	2	no	—
601	C₂³×C₅	—	2	1	no	—
602	C₂³×C₅	—	2	4	no	—
603	C₂³×C₅	—	2	1	no	—
604	C₂³×C₅	—	8	1	no	—
605	C₂³×C₅	—	8	2	no	—
606	C₂³×C₅	—	8	1	no	—
607	C₂³×C₅	—	8	2	no	—
608	C₂³×C₅	C₂²×D₄	1	2	yes	—
609	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
610	C₅×Q₈	—	2	2	no	—
611	C₅×Q₈	—	2	1	no	—
612	C₅×Q₈	—	2	2	no	—
613	C₅×Q₈	—	2	1	no	—
614	C₅×Q₈	—	2	2	no	—
615	C₅×Q₈	—	2	1	no	—
616	C₅×Q₈	—	4	2	no	—
617	C₅×Q₈	—	8	2	no	—
618	C₅×Q₈	C₂×#41	1	2	yes	—
619	C₅×D₄	—	2	8	no	—
620	C₅×D₄	—	2	8	no	—
621	C₅×D₄	—	2	4	no	—
622	C₅×D₄	—	2	4	no	—
623	C₅×D₄	—	2	2	no	—
624	C₅×D₄	—	2	4	no	—
625	C₅×D₄	—	2	2	no	—
626	C₅×D₄	—	2	1	no	—
627	C₅×D₄	—	2	1	no	—
628	C₅×D₄	—	2	1	no	—
629	C₅×D₄	—	4	2	no	—
630	C₅×D₄	—	8	2	no	—
631	C₅×D₄	C₂×#41	1	2	yes	—
632	C₅×D₄	C₂×#41	1	4	yes	—
633	C₂×C₄×C₅	—	2	8	no	—
634	C₂×C₄×C₅	—	2	1	no	—
635	C₂×C₄×C₅	—	2	4	no	—
636	C₂×C₄×C₅	—	2	2	no	—
637	C₂×C₄×C₅	—	2	4	no	—
638	C₂×C₄×C₅	—	2	2	no	—
639	C₂×C₄×C₅	—	2	2	no	—
640	C₂×C₄×C₅	—	2	1	no	—
641	C₂×C₄×C₅	—	2	1	no	—
642	C₂×C₄×C₅	—	2	2	no	—
643	C₂×C₄×C₅	—	2	1	no	—
644	C₂×C₄×C₅	—	2	1	no	—
645	C₂×C₄×C₅	—	2	2	no	—
646	C₂×C₄×C₅	—	2	1	no	—
647	C₂×C₄×C₅	—	2	2	no	—
648	C₂×C₄×C₅	—	4	1	no	—
649	C₂×C₄×C₅	—	4	2	no	—
650	C₂×C₄×C₅	—	4	2	no	—
651	C₂×C₄×C₅	—	4	2	no	—
652	C₂×C₄×C₅	—	4	2	no	—
653	C₂×C₄×C₅	—	4	4	no	—
654	C₂×C₄×C₅	—	4	2	no	—
655	C₂×C₄×C₅	—	8	1	no	—
656	C₂×C₄×C₅	—	8	1	no	—
657	C₂×C₄×C₅	—	8	2	no	—
658	C₂×C₄×C₅	—	8	2	no	—
659	C₂×C₄×C₅	—	8	2	no	—
660	C₂×C₄×C₅	—	8	2	no	—
661	C₂×C₄×C₅	—	8	1	no	—
662	C₂×C₄×C₅	—	8	1	no	—
663	C₂×C₄×C₅	—	8	2	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	2	yes	—
668	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
669	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
670	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	H(5,𝔽₂)	—	2	4	no	—
682	H(5,𝔽₂)	—	2	4	no	—
683	C₂×#41	—	2	1	no	—
684	C₂×#41	C₂³×C₅	1	2	yes	—
685	C₂×#41	C₂³×C₅	1	1	yes	characteristic
686	C₂×#41	C₂³×C₅	1	1	yes	characteristic
687	C₂×#41	C₂³×C₅	1	1	yes	characteristic
688	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
689	C₂²×D₄	—	2	2	no	—
690	C₂²×D₄	—	2	1	no	—
691	C₂²×D₄	C₂³×C₅	1	2	yes	—
692	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
693	C₂³×C₄	—	2	1	no	—
694	C₂³×C₄	—	2	2	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	—	2	1	no	—
715	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
716	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#125	—	2	2	no	—
722	#125	—	2	1	no	—
723	#125	—	2	2	no	—
724	#125	—	2	2	no	—
725	#125	C₂³×C₅	1	2	yes	—
726	#124	—	2	1	no	—
727	#124	—	2	2	no	—
728	#124	C₂³×C₅	1	2	yes	—
729	#123	—	2	2	no	—
730	#123	—	2	2	no	—
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	C₂²⋊Q₈	—	2	1	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	1	no	—
736	C₂²⋊Q₈	—	2	1	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
740	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
741	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
742	#121	—	2	2	no	—
743	#121	—	2	1	no	—
744	#121	C₂³×C₅	1	2	yes	—
745	C₄×Q₈	—	2	1	no	—
746	C₄×Q₈	—	2	1	no	—
747	C₄×Q₈	—	2	1	no	—
748	C₄×Q₈	—	2	2	no	—
749	C₄×Q₈	C₅×D₄	1	1	yes	characteristic
750	C₄×Q₈	C₅×D₄	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	1	yes	characteristic
754	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
755	C₄×Q₈	C₂³×C₅	1	2	yes	—
756	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
757	C₄×Q₈	C₂³×C₅	1	1	yes	characteristic
758	C₄×D₄	—	2	2	no	—
759	C₄×D₄	—	2	1	no	—
760	C₄×D₄	—	2	1	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	1	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	1	no	—
765	C₄×D₄	—	2	1	no	—
766	C₄×D₄	—	2	2	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	—	2	2	no	—
769	C₄×D₄	—	2	2	no	—
770	C₄×D₄	—	2	1	no	—
771	C₄×D₄	—	2	2	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	2	no	—
774	C₄×D₄	—	2	1	no	—
775	C₄×D₄	—	2	2	no	—
776	C₄×D₄	—	2	1	no	—
777	C₄×D₄	—	2	2	no	—
778	C₄×D₄	C₅×D₄	1	1	yes	characteristic
779	C₄×D₄	C₅×D₄	1	2	yes	—
780	C₄×D₄	C₅×D₄	1	2	yes	—
781	C₄×D₄	C₅×D₄	1	1	yes	characteristic
782	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
783	C₄×D₄	C₂³×C₅	1	2	yes	—
784	C₄×D₄	C₂³×C₅	1	2	yes	—
785	C₄×D₄	C₂³×C₅	1	2	yes	—
786	C₄×D₄	C₂³×C₅	1	2	yes	—
787	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
788	C₄×D₄	C₂³×C₅	1	2	yes	—
789	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
790	C₄×D₄	C₂³×C₅	1	1	yes	characteristic
791	#117	—	2	2	no	—
792	#117	—	2	2	no	—
793	#117	—	2	1	no	—
794	#117	—	2	1	no	—
795	#117	—	2	2	no	—
796	#117	—	2	1	no	—
797	#117	—	2	2	no	—
798	#117	C₂³×C₅	1	1	yes	characteristic
799	#117	C₂³×C₅	1	2	yes	—
800	#117	C₂³×C₅	1	1	yes	characteristic
801	#117	C₂³×C₅	1	1	yes	characteristic
802	#117	C₂³×C₅	1	2	yes	—
803	C₂×C₄⋊C₄	—	2	1	no	—
804	C₂×C₄⋊C₄	—	2	1	no	—
805	C₂×C₄⋊C₄	—	2	2	no	—
806	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
808	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	—	2	1	no	—
810	C₂×C₂²⋊C₄	—	2	2	no	—
811	C₂×C₂²⋊C₄	—	2	2	no	—
812	C₂×C₂²⋊C₄	—	2	2	no	—
813	C₂×C₂²⋊C₄	—	2	2	no	—
814	C₂×C₄²	—	2	1	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	1	yes	characteristic
821	#107	C₂³×C₅	1	1	yes	characteristic
822	#107	C₂³×C₅	1	2	yes	—
823	#107	C₂³×C₅	1	2	yes	—
824	#106	C₂³×C₅	1	2	yes	—
825	#106	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	2	yes	—
859	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
860	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
861	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
862	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
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	4	no	—
869	C₂²×C₅	—	2	2	no	—
870	C₂²×C₅	—	2	2	no	—
871	C₂²×C₅	—	4	2	no	—
872	C₂²×C₅	—	4	1	no	—
873	C₂²×C₅	—	4	2	no	—
874	C₂²×C₅	—	4	1	no	—
875	C₂²×C₅	—	4	1	no	—
876	C₂²×C₅	—	4	1	no	—
877	C₂²×C₅	—	4	1	no	—
878	C₂²×C₅	—	8	4	no	—
879	C₂²×C₅	—	8	8	no	—
880	C₂²×C₅	#525	1	2	yes	—
881	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
882	C₄×C₅	—	2	1	no	—
883	C₄×C₅	—	2	1	no	—
884	C₄×C₅	—	2	2	no	—
885	C₄×C₅	—	2	2	no	—
886	C₄×C₅	—	2	2	no	—
887	C₄×C₅	—	2	1	no	—
888	C₄×C₅	—	2	2	no	—
889	C₄×C₅	—	4	1	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	2	no	—
896	C₄×C₅	—	4	1	no	—
897	C₄×C₅	#525	1	2	yes	—
898	C₄×C₅	#577	1	2	yes	—
899	C₄×C₅	C₂²×#41	1	1	yes	characteristic
900	C₄×C₅	C₂²×#41	1	1	yes	characteristic
901	C₂⁴	—	2	2	no	—
902	C₂⁴	—	2	1	no	—
903	#41	—	2	8	no	—
904	#41	—	2	4	no	—
905	#41	—	2	4	no	—
906	#41	—	2	2	no	—
907	#41	—	2	2	no	—
908	#41	—	2	2	no	—
909	#41	—	2	2	no	—
910	#41	—	2	2	no	—
911	#41	C₅×#41	1	4	yes	—
912	C₂×Q₈	—	2	1	no	—
913	C₂×Q₈	—	2	2	no	—
914	C₂×Q₈	—	2	2	no	—
915	C₂×Q₈	—	2	2	no	—
916	C₂×Q₈	C₂×C₅×D₄	1	1	yes	characteristic
917	C₂×Q₈	C₂⁴×C₅	1	2	yes	—
918	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
919	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
920	C₂×D₄	—	2	16	no	—
921	C₂×D₄	—	2	8	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	1	no	—
924	C₂×D₄	—	2	4	no	—
925	C₂×D₄	—	2	4	no	—
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	1	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	C₂×C₅×D₄	1	2	yes	—
932	C₂×D₄	C₂×C₅×D₄	1	1	yes	characteristic
933	C₂×D₄	C₅×#41	1	4	yes	—
934	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
935	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
936	C₂×D₄	C₂⁴×C₅	1	2	yes	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	2	1	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	1	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	8	2	no	—
954	C₂²×C₄	—	8	4	no	—
955	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
956	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
957	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
958	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
959	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
960	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
961	Q₁₆	—	2	2	no	—
962	Q₁₆	—	2	4	no	—
963	SD₁₆	—	2	2	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	D₈	—	2	2	no	—
970	D₈	—	2	4	no	—
971	M₁₆	—	2	2	no	—
972	M₁₆	—	2	2	no	—
973	C₂×C₈	—	2	2	no	—
974	C₂×C₈	—	2	2	no	—
975	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
976	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
977	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
978	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
979	C₂×C₈	C₂⁴×C₅	1	2	yes	—
980	C₂×C₈	C₂⁴×C₅	1	2	yes	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	1	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	2	no	—
993	C₄⋊C₄	—	2	2	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	—	2	2	no	—
999	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1000	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1001	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1002	C₄⋊C₄	C₂×C₅×D₄	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	1	yes	characteristic
1007	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1008	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	1	no	—
1022	C₂²⋊C₄	—	2	1	no	—
1023	C₂²⋊C₄	—	2	1	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1028	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1029	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	2	no	—
1033	C₄²	—	2	2	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	2	1	no	—
1039	C₄²	—	2	2	no	—
1040	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
1041	C₄²	C₂×C₅×D₄	1	2	yes	—
1042	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
1043	C₄²	C₂×C₅×D₄	1	2	yes	—
1044	C₄²	C₂⁴×C₅	1	1	yes	characteristic
1045	C₄²	C₂⁴×C₅	1	1	yes	characteristic
1046	C₄²	C₂⁴×C₅	1	2	yes	—
1047	C₂×C₅	—	2	2	no	—
1048	C₂×C₅	—	4	2	no	—
1049	C₂×C₅	—	4	4	no	—
1050	C₂×C₅	—	4	2	no	—
1051	C₂×C₅	—	8	1	no	—
1052	C₂×C₅	C₂×#525	1	1	yes	characteristic
1053	C₂×C₅	C₂×#577	1	1	yes	characteristic
1054	C₂×C₅	#3584	1	1	yes	characteristic
1055	C₂³	—	2	8	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	4	no	—
1059	C₂³	—	2	1	no	—
1060	C₂³	—	8	1	no	—
1061	C₂³	—	8	2	no	—
1062	C₂³	—	8	1	no	—
1063	C₂³	—	8	2	no	—
1064	C₂³	C₂²×C₅×D₄	1	2	yes	—
1065	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1066	Q₈	—	2	2	no	—
1067	Q₈	—	2	1	no	—
1068	Q₈	—	2	2	no	—
1069	Q₈	—	2	1	no	—
1070	Q₈	—	2	2	no	—
1071	Q₈	—	2	1	no	—
1072	Q₈	—	4	2	no	—
1073	Q₈	—	8	2	no	—
1074	Q₈	C₂×C₅×#41	1	2	yes	—
1075	D₄	—	2	8	no	—
1076	D₄	—	2	8	no	—
1077	D₄	—	2	4	no	—
1078	D₄	—	2	4	no	—
1079	D₄	—	2	2	no	—
1080	D₄	—	2	4	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	2	1	no	—
1084	D₄	—	2	1	no	—
1085	D₄	—	4	2	no	—
1086	D₄	—	8	2	no	—
1087	D₄	C₂×C₅×#41	1	2	yes	—
1088	D₄	C₂×C₅×#41	1	4	yes	—
1089	C₂×C₄	—	2	8	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	4	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	4	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	1	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	2	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	2	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	—	8	2	no	—
1112	C₂×C₄	—	8	2	no	—
1113	C₂×C₄	—	8	2	no	—
1114	C₂×C₄	—	8	1	no	—
1115	C₂×C₄	—	8	1	no	—
1116	C₂×C₄	—	8	2	no	—
1117	C₂×C₄	—	8	1	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	1	no	—
1120	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1121	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1122	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
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	C₂²×C₅×D₄	1	1	yes	characteristic
1128	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1129	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1130	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
1131	C₈	—	2	1	no	—
1132	C₈	—	2	1	no	—
1133	C₈	—	2	1	no	—
1134	C₈	—	2	1	no	—
1135	C₈	—	2	2	no	—
1136	C₈	—	2	2	no	—
1137	C₅	#60571	1	1	yes	characteristic, direct product factor, Sylow
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	2	2	no	—
1141	C₂²	—	2	4	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	2	no	—
1145	C₂²	—	4	2	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	8	4	no	—
1153	C₂²	—	8	8	no	—
1154	C₂²	C₅×#525	1	2	yes	—
1155	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1156	C₄	—	2	2	no	—
1157	C₄	—	2	2	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	2	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	4	1	no	—
1168	C₄	—	4	1	no	—
1169	C₄	—	4	2	no	—
1170	C₄	—	4	1	no	—
1171	C₄	C₅×#525	1	2	yes	—
1172	C₄	C₅×#577	1	2	yes	—
1173	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1174	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1175	C₂	—	2	2	no	—
1176	C₂	—	4	2	no	—
1177	C₂	—	4	4	no	—
1178	C₂	—	4	2	no	—
1179	C₂	—	8	1	no	—
1180	C₂	C₂×C₅×#525	1	1	yes	characteristic
1181	C₂	C₂×C₅×#577	1	1	yes	characteristic
1182	C₂	C₅×#3584	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₅	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅
socle	C₂²×C₅	C₂³×D₄
prime radical	C₅×#3012	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₅ ◁ C₄×C₅×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#3461	C₂	semidirect
2. C₄×C₅×H(5,𝔽₂)	C₂	semidirect
3. C₅×#3125	C₂	semidirect
4. C₅×#3123	C₂	semidirect
5. C₅×#3120	C₂	semidirect
6. C₅×#3118	C₂	semidirect
7. C₅×#3107	C₂	semidirect
8. C₅×#3105	C₂	semidirect
9. C₅×#3102	C₂	semidirect
10. C₅×#3101	C₂	semidirect
11. C₅×#3099	C₂	semidirect
12. C₅×#3097	C₂	semidirect
13. C₅×#3084	C₂	semidirect
14. C₅×#3081	C₂	semidirect
15. C₅×#3046	C₂	semidirect
16. C₅×#3042	C₂	semidirect
18. C₅×#3009	C₂	semidirect
19. C₄×C₅×#137	C₂	semidirect
20. C₄×C₅×AGL(1,ℤ/8)	C₂	semidirect
21. C₄×C₅×#135	C₂	semidirect
22. C₂×C₄×C₅×SD₁₆	C₂	semidirect
23. C₅×#2922	C₂	semidirect
29. C₅×#544	C₂²	semidirect
31. C₅×#542	C₂²	semidirect
33. C₅×#541	C₂²	semidirect
37. C₅×#536	C₂²	semidirect
39. C₅×#533	C₂²	semidirect
42. C₅×#529	C₂²	semidirect
55. C₄×C₅×#41	C₂²	semidirect
56. C₂×C₄×C₅×Q₈	C₂²	semidirect
61. C₅×#485	C₂²	semidirect
62. C₅×#485	C₂²	semidirect
63. C₅×#485	C₂²	semidirect
64. C₅×#484	C₂²	semidirect
65. C₅×#483	C₂²	semidirect
66. C₅×#483	C₂²	semidirect
67. C₅×#482	C₂²	semidirect
68. C₅×#481	C₂²	semidirect
69. C₅×#479	C₂²	semidirect
70. C₅×#478	C₂²	semidirect
71. C₅×#478	C₂²	semidirect
72. C₅×#478	C₂²	semidirect
73. C₅×#476	C₂²	semidirect
74. C₅×#476	C₂²	semidirect
75. C₅×#475	C₂²	semidirect
76. C₅×#474	C₂²	semidirect
77. C₅×#464	C₂²	semidirect
78. C₅×#463	C₂²	semidirect
79. C₅×#463	C₂²	semidirect
80. C₅×#463	C₂²	semidirect
81. C₅×#462	C₂²	semidirect
82. C₅×#461	C₂²	semidirect
83. C₅×#461	C₂²	semidirect
84. C₅×#461	C₂²	semidirect
93. C₅×#442	C₂²	semidirect
94. C₅×#441	C₂²	semidirect
95. C₅×#440	C₂²	semidirect
96. C₅×#440	C₂²	semidirect
97. C₄×C₅×Q₁₆	C₂²	semidirect
98. C₄×C₅×Q₁₆	C₂²	semidirect
99. C₄×C₅×Q₁₆	C₂²	semidirect
100. C₄×C₅×SD₁₆	C₂²	semidirect
101. C₄×C₅×SD₁₆	C₂²	semidirect
102. C₄×C₅×SD₁₆	C₂²	semidirect
103. C₄×C₅×SD₁₆	C₂²	semidirect
104. C₄×C₅×SD₁₆	C₂²	semidirect
105. C₄×C₅×SD₁₆	C₂²	semidirect
106. C₄×C₅×SD₁₆	C₂²	semidirect
107. C₄×C₅×SD₁₆	C₂²	semidirect
108. C₄×C₅×SD₁₆	C₂²	semidirect
109. C₄×C₅×SD₁₆	C₂²	semidirect
110. C₄×C₅×D₈	C₂²	semidirect
111. C₄×C₅×D₈	C₂²	semidirect
112. C₄×C₅×D₈	C₂²	semidirect
113. C₅×#433	C₂²	semidirect
114. C₅×#433	C₂²	semidirect
115. C₅×#431	C₂²	semidirect
116. C₅×#431	C₂²	semidirect
117. C₅×#428	C₂²	semidirect
118. C₅×#428	C₂²	semidirect
119. C₅×#427	C₂²	semidirect
120. C₂×C₅×#106	C₂²	semidirect
121. C₅×#424	C₂²	semidirect
122. C₅×#424	C₂²	semidirect
123. C₅×#419	C₂²	semidirect
126. C₅×#417	C₂²	semidirect
128. C₅×#416	C₂²	semidirect
129. C₂×C₅×#103	C₂²	semidirect
133. C₄×C₅×M₁₆	C₂²	semidirect
134. C₂×C₄×C₅×C₈	C₂²	semidirect
135. #60571	C₅	direct (N × H)
319. #3461	C₂×C₅	semidirect
320. C₄×H(5,𝔽₂)	C₂×C₅	semidirect
321. #3125	C₂×C₅	semidirect
322. #3123	C₂×C₅	semidirect
323. #3120	C₂×C₅	semidirect
324. #3118	C₂×C₅	semidirect
325. #3107	C₂×C₅	semidirect
326. #3105	C₂×C₅	semidirect
327. #3102	C₂×C₅	semidirect
328. #3101	C₂×C₅	semidirect
329. #3099	C₂×C₅	semidirect
330. #3097	C₂×C₅	semidirect
331. #3084	C₂×C₅	semidirect
332. #3081	C₂×C₅	semidirect
333. #3046	C₂×C₅	semidirect
334. #3042	C₂×C₅	semidirect
336. #3009	C₂×C₅	semidirect
337. C₄×#137	C₂×C₅	semidirect
338. C₄×AGL(1,ℤ/8)	C₂×C₅	semidirect
339. C₄×#135	C₂×C₅	semidirect
340. C₂×C₄×SD₁₆	C₂×C₅	semidirect
341. #2922	C₂×C₅	semidirect
493. #544	C₂²×C₅	semidirect
495. #542	C₂²×C₅	semidirect
497. #541	C₂²×C₅	semidirect
501. #536	C₂²×C₅	semidirect
503. #533	C₂²×C₅	semidirect
506. #529	C₂²×C₅	semidirect
519. C₄×#41	C₂²×C₅	semidirect
520. C₂×C₄×Q₈	C₂²×C₅	semidirect
525. #485	C₂²×C₅	semidirect
526. #485	C₂²×C₅	semidirect
527. #485	C₂²×C₅	semidirect
528. #484	C₂²×C₅	semidirect
529. #483	C₂²×C₅	semidirect
530. #483	C₂²×C₅	semidirect
531. #482	C₂²×C₅	semidirect
532. #481	C₂²×C₅	semidirect
533. #479	C₂²×C₅	semidirect
534. #478	C₂²×C₅	semidirect
535. #478	C₂²×C₅	semidirect
536. #478	C₂²×C₅	semidirect
537. #476	C₂²×C₅	semidirect
538. #476	C₂²×C₅	semidirect
539. #475	C₂²×C₅	semidirect
540. #474	C₂²×C₅	semidirect
541. #464	C₂²×C₅	semidirect
542. #463	C₂²×C₅	semidirect
543. #463	C₂²×C₅	semidirect
544. #463	C₂²×C₅	semidirect
545. #462	C₂²×C₅	semidirect
546. #461	C₂²×C₅	semidirect
547. #461	C₂²×C₅	semidirect
548. #461	C₂²×C₅	semidirect
557. #442	C₂²×C₅	semidirect
558. #441	C₂²×C₅	semidirect
559. #440	C₂²×C₅	semidirect
560. #440	C₂²×C₅	semidirect
561. C₄×Q₁₆	C₂²×C₅	semidirect
562. C₄×Q₁₆	C₂²×C₅	semidirect
563. C₄×Q₁₆	C₂²×C₅	semidirect
564. C₄×SD₁₆	C₂²×C₅	semidirect
565. C₄×SD₁₆	C₂²×C₅	semidirect
566. C₄×SD₁₆	C₂²×C₅	semidirect
567. C₄×SD₁₆	C₂²×C₅	semidirect
568. C₄×SD₁₆	C₂²×C₅	semidirect
569. C₄×SD₁₆	C₂²×C₅	semidirect
570. C₄×SD₁₆	C₂²×C₅	semidirect
571. C₄×SD₁₆	C₂²×C₅	semidirect
572. C₄×SD₁₆	C₂²×C₅	semidirect
573. C₄×SD₁₆	C₂²×C₅	semidirect
574. C₄×D₈	C₂²×C₅	semidirect
575. C₄×D₈	C₂²×C₅	semidirect
576. C₄×D₈	C₂²×C₅	semidirect
577. #433	C₂²×C₅	semidirect
578. #433	C₂²×C₅	semidirect
579. #431	C₂²×C₅	semidirect
580. #431	C₂²×C₅	semidirect
581. #428	C₂²×C₅	semidirect
582. #428	C₂²×C₅	semidirect
583. #427	C₂²×C₅	semidirect
584. C₂×#106	C₂²×C₅	semidirect
585. #424	C₂²×C₅	semidirect
586. #424	C₂²×C₅	semidirect
587. #419	C₂²×C₅	semidirect
590. #417	C₂²×C₅	semidirect
592. #416	C₂²×C₅	semidirect
593. C₂×#103	C₂²×C₅	semidirect
597. C₄×M₁₆	C₂²×C₅	semidirect
598. C₂×C₄×C₈	C₂²×C₅	semidirect
1137. C₅	#60571	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×#3461	2
C₄×C₅×H(5,𝔽₂)	2
C₅×#3125	2
C₅×#3123	2
C₅×#3120	2
C₅×#3118	2
C₅×#3107	2
C₅×#3105	2
C₅×#3102	2
C₅×#3101	2
C₅×#3099	2
C₅×#3097	2
C₅×#3084	2
C₅×#3081	2
C₅×#3046	2
C₅×#3042	2
C₅×#3012	2
C₅×#3009	2
C₄×C₅×#137	2
C₄×C₅×AGL(1,ℤ/8)	2
C₄×C₅×#135	2
C₂×C₄×C₅×SD₁₆	2
C₅×#2922	2
#60571	5

Subgroups — C5×#60571 #11983291

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#60571 #11983291