Subgroups — #13044298

Order 1280.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#541	C₂	1	1	yes	maximal, characteristic
2	#10617387	C₂	1	1	yes	maximal, characteristic, complemented
3	#10617387	C₂	1	1	yes	maximal, characteristic, complemented
4	#10617360	C₂	1	1	yes	maximal, characteristic
5	#10617359	C₂	1	1	yes	maximal, characteristic
6	#10617359	C₂	1	1	yes	maximal, characteristic
7	#10617359	C₂	1	1	yes	maximal, characteristic
8	#10617358	C₂	1	1	yes	maximal, characteristic
9	#10617358	C₂	1	1	yes	maximal, characteristic
10	#10617358	C₂	1	1	yes	maximal, characteristic
11	AGL(1,𝔽₅)×#126	C₂	1	1	yes	maximal, characteristic
12	#10617348	C₂	1	1	yes	maximal, characteristic, complemented
13	#10617348	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617347	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617347	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617346	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617346	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617345	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617345	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617344	C₂	1	1	yes	maximal, characteristic, complemented
21	AGL(1,𝔽₅)×#125	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617288	C₂	1	1	yes	maximal, characteristic
23	#10617287	C₂	1	1	yes	maximal, characteristic
24	#10617284	C₂	1	1	yes	maximal, characteristic
25	#10617283	C₂	1	1	yes	maximal, characteristic
26	#10617214	C₂	1	1	yes	maximal, characteristic, complemented
27	#10617213	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617210	C₂	1	1	yes	maximal, characteristic, complemented
29	#10617209	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617133	C₂	1	1	yes	maximal, characteristic
31	#10617132	C₂	1	1	yes	maximal, characteristic
32	C₅×#541	C₄	1	1	yes	characteristic, complemented
33	#66065	C₄	1	1	yes	characteristic, complemented
34	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
35	D₅×#126	C₂²	1	1	yes	characteristic
36	D₅×#126	C₂²	1	1	yes	characteristic
37	D₅×#126	C₂²	1	1	yes	characteristic
38	D₅×#126	C₂²	1	1	yes	characteristic
39	#66035	C₄	1	1	yes	characteristic, complemented
40	#66035	C₄	1	1	yes	characteristic, complemented
41	#66035	C₄	1	1	yes	characteristic, complemented
42	#66035	C₄	1	1	yes	characteristic, complemented
43	#66031	C₄	1	1	yes	characteristic, complemented
44	#66030	C₄	1	1	yes	characteristic, complemented
45	#66030	C₄	1	1	yes	characteristic, complemented
46	#66030	C₄	1	1	yes	characteristic, complemented
47	#66030	C₄	1	1	yes	characteristic, complemented
48	D₅×#125	C₂²	1	1	yes	characteristic
49	D₅×#125	C₂²	1	1	yes	characteristic
50	D₅×#125	C₂²	1	1	yes	characteristic
51	D₅×#125	C₂²	1	1	yes	characteristic
52	D₅×#125	C₂²	1	1	yes	characteristic
53	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
55	#65959	C₄	1	1	yes	characteristic, complemented
56	#65959	C₄	1	1	yes	characteristic, complemented
57	#65917	C₄	1	1	yes	characteristic, complemented
58	#65917	C₄	1	1	yes	characteristic, complemented
59	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
60	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
61	D₅×#117	C₂²	1	1	yes	characteristic
62	#65852	C₄	1	1	yes	characteristic, complemented
63	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
64	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
65	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
66	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
67	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
68	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
69	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
70	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
71	#65765	C₂²	1	1	yes	characteristic
72	#65764	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
74	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
75	#65712	C₂²	1	1	yes	characteristic
76	#65712	C₂²	1	1	yes	characteristic
77	#65712	C₂²	1	1	yes	characteristic
78	#65712	C₂²	1	1	yes	characteristic
79	#65712	C₂²	1	1	yes	characteristic
80	#65712	C₂²	1	1	yes	characteristic
81	#65712	C₂²	1	1	yes	characteristic
82	#65712	C₂²	1	1	yes	characteristic
83	#65712	C₂²	1	1	yes	characteristic
84	#65712	C₂²	1	1	yes	characteristic
85	#65712	C₂²	1	1	yes	characteristic
86	#65712	C₂²	1	1	yes	characteristic
87	#65712	C₂²	1	1	yes	characteristic
88	#65712	C₂²	1	1	yes	characteristic
89	#65712	C₂²	1	1	yes	characteristic
90	#65712	C₂²	1	1	yes	characteristic
91	#65712	C₂²	1	1	yes	characteristic
92	#65712	C₂²	1	1	yes	characteristic
93	#65711	C₂²	1	1	yes	characteristic
94	#65711	C₂²	1	1	yes	characteristic
95	#65711	C₂²	1	1	yes	characteristic
96	#65711	C₂²	1	1	yes	characteristic
97	#65711	C₂²	1	1	yes	characteristic
98	#65711	C₂²	1	1	yes	characteristic
99	#65711	C₂²	1	1	yes	characteristic
100	#65711	C₂²	1	1	yes	characteristic
101	#65711	C₂²	1	1	yes	characteristic
102	#65711	C₂²	1	1	yes	characteristic
103	#65711	C₂²	1	1	yes	characteristic
104	#65711	C₂²	1	1	yes	characteristic
105	#65711	C₂²	1	1	yes	characteristic
106	#65711	C₂²	1	1	yes	characteristic
107	#65711	C₂²	1	1	yes	characteristic
108	#65711	C₂²	1	1	yes	characteristic
109	#65711	C₂²	1	1	yes	characteristic
110	#65711	C₂²	1	1	yes	characteristic
111	#65711	C₂²	1	1	yes	characteristic
112	#65711	C₂²	1	1	yes	characteristic
113	#65711	C₂²	1	1	yes	characteristic
114	#65711	C₂²	1	1	yes	characteristic
115	#65711	C₂²	1	1	yes	characteristic
116	#65711	C₂²	1	1	yes	characteristic
117	#65711	C₂²	1	1	yes	characteristic
118	#65711	C₂²	1	1	yes	characteristic
119	#65711	C₂²	1	1	yes	characteristic
120	#65711	C₂²	1	1	yes	characteristic
121	#65711	C₂²	1	1	yes	characteristic
122	#65711	C₂²	1	1	yes	characteristic
123	#65711	C₂²	1	1	yes	characteristic
124	#65711	C₂²	1	1	yes	characteristic
125	#65711	C₂²	1	1	yes	characteristic
126	#65711	C₂²	1	1	yes	characteristic
127	#65711	C₂²	1	1	yes	characteristic
128	#65711	C₂²	1	1	yes	characteristic
129	#65711	C₂²	1	1	yes	characteristic
130	#65711	C₂²	1	1	yes	characteristic
131	#65711	C₂²	1	1	yes	characteristic
132	#65711	C₂²	1	1	yes	characteristic
133	#65711	C₂²	1	1	yes	characteristic
134	#65711	C₂²	1	1	yes	characteristic
135	#65711	C₂²	1	1	yes	characteristic
136	#65711	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
151	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
152	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
155	#65700	C₂²	1	1	yes	characteristic
156	#65700	C₂²	1	1	yes	characteristic
157	#65700	C₂²	1	1	yes	characteristic
158	#65700	C₂²	1	1	yes	characteristic
159	#65700	C₂²	1	1	yes	characteristic
160	#65700	C₂²	1	1	yes	characteristic
161	#65700	C₂²	1	1	yes	characteristic
162	#65700	C₂²	1	1	yes	characteristic
163	#65700	C₂²	1	1	yes	characteristic
164	#65700	C₂²	1	1	yes	characteristic
165	#65700	C₂²	1	1	yes	characteristic
166	#65700	C₂²	1	1	yes	characteristic
167	#65699	C₂²	1	1	yes	characteristic
168	#65699	C₂²	1	1	yes	characteristic
169	#65699	C₂²	1	1	yes	characteristic
170	#65699	C₂²	1	1	yes	characteristic
171	#65699	C₂²	1	1	yes	characteristic
172	#65699	C₂²	1	1	yes	characteristic
173	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
174	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
175	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
176	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
177	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
178	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
179	#65690	C₂²	1	1	yes	characteristic
180	#65690	C₂²	1	1	yes	characteristic
181	#65690	C₂²	1	1	yes	characteristic
182	#65689	C₂²	1	1	yes	characteristic
183	#65689	C₂²	1	1	yes	characteristic
184	#65689	C₂²	1	1	yes	characteristic
185	#65689	C₂²	1	1	yes	characteristic
186	#65689	C₂²	1	1	yes	characteristic
187	#65689	C₂²	1	1	yes	characteristic
188	#65688	C₂²	1	1	yes	characteristic
189	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
190	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
191	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
192	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
193	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
194	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
195	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
196	#65686	C₂²	1	1	yes	characteristic
197	#65686	C₂²	1	1	yes	characteristic
198	#65686	C₂²	1	1	yes	characteristic
199	#65686	C₂²	1	1	yes	characteristic
200	#65686	C₂²	1	1	yes	characteristic
201	#65686	C₂²	1	1	yes	characteristic
202	C₄²×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
203	#34455	—	5	1	no	maximal, Sylow
204	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
205	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
241	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
242	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
243	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
244	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
245	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
246	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
247	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
249	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
250	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
251	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
252	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
253	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
254	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
255	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
256	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
257	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
258	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
259	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
260	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
261	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
262	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
263	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
264	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
265	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
266	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
267	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
268	C₅×#126	C₂×C₄	1	1	yes	characteristic
269	C₅×#126	C₂×C₄	1	1	yes	characteristic
270	C₅×#126	C₂×C₄	1	1	yes	characteristic
271	C₅×#126	C₂×C₄	1	1	yes	characteristic
272	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
273	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
274	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
275	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
276	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
277	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
278	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
279	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
280	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
281	C₅×#117	C₂×C₄	1	1	yes	characteristic
282	#4092	C₂×C₄	1	1	yes	characteristic
283	#4092	C₂×C₄	1	1	yes	characteristic
284	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
285	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
286	#4090	C₂×C₄	1	1	yes	characteristic, complemented
287	#4090	C₂×C₄	1	1	yes	characteristic, complemented
288	#4072	C₂×C₄	1	1	yes	characteristic
289	#4070	C₂×C₄	1	1	yes	characteristic
290	#4070	C₂×C₄	1	1	yes	characteristic
291	#4044	C₂×C₄	1	1	yes	characteristic
292	#4044	C₂×C₄	1	1	yes	characteristic
293	#4044	C₂×C₄	1	1	yes	characteristic
294	#4044	C₂×C₄	1	1	yes	characteristic
295	#4044	C₂×C₄	1	1	yes	characteristic
296	#4044	C₂×C₄	1	1	yes	characteristic
297	#4044	C₂×C₄	1	1	yes	characteristic
298	#4044	C₂×C₄	1	1	yes	characteristic
299	#4044	C₂×C₄	1	1	yes	characteristic
300	#4044	C₂×C₄	1	1	yes	characteristic
301	#4044	C₂×C₄	1	1	yes	characteristic
302	#4044	C₂×C₄	1	1	yes	characteristic
303	#4043	C₂×C₄	1	1	yes	characteristic
304	#4043	C₂×C₄	1	1	yes	characteristic
305	#4042	C₂×C₄	1	1	yes	characteristic
306	#4042	C₂×C₄	1	1	yes	characteristic
307	#4042	C₂×C₄	1	1	yes	characteristic
308	#4042	C₂×C₄	1	1	yes	characteristic
309	#4038	C₂×C₄	1	1	yes	characteristic
310	#4038	C₂×C₄	1	1	yes	characteristic
311	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	#4036	C₂×C₄	1	1	yes	characteristic, complemented
332	#4036	C₂×C₄	1	1	yes	characteristic, complemented
333	#4036	C₂×C₄	1	1	yes	characteristic, complemented
334	#4036	C₂×C₄	1	1	yes	characteristic, complemented
335	#4036	C₂×C₄	1	1	yes	characteristic, complemented
336	#4036	C₂×C₄	1	1	yes	characteristic, complemented
337	#4036	C₂×C₄	1	1	yes	characteristic, complemented
338	#4036	C₂×C₄	1	1	yes	characteristic, complemented
339	#4036	C₂×C₄	1	1	yes	characteristic, complemented
340	#4036	C₂×C₄	1	1	yes	characteristic, complemented
341	#4035	C₂×C₄	1	1	yes	characteristic, complemented
342	#4035	C₂×C₄	1	1	yes	characteristic, complemented
343	#4035	C₂×C₄	1	1	yes	characteristic, complemented
344	#4035	C₂×C₄	1	1	yes	characteristic, complemented
345	#4035	C₂×C₄	1	1	yes	characteristic, complemented
346	#4035	C₂×C₄	1	1	yes	characteristic, complemented
347	#4035	C₂×C₄	1	1	yes	characteristic, complemented
348	#4035	C₂×C₄	1	1	yes	characteristic, complemented
349	#4035	C₂×C₄	1	1	yes	characteristic, complemented
350	#4035	C₂×C₄	1	1	yes	characteristic, complemented
351	#4035	C₂×C₄	1	1	yes	characteristic, complemented
352	#4035	C₂×C₄	1	1	yes	characteristic, complemented
353	#4035	C₂×C₄	1	1	yes	characteristic, complemented
354	#4035	C₂×C₄	1	1	yes	characteristic, complemented
355	#4035	C₂×C₄	1	1	yes	characteristic, complemented
356	#4035	C₂×C₄	1	1	yes	characteristic, complemented
357	#4035	C₂×C₄	1	1	yes	characteristic, complemented
358	#4035	C₂×C₄	1	1	yes	characteristic, complemented
359	#4035	C₂×C₄	1	1	yes	characteristic, complemented
360	#4035	C₂×C₄	1	1	yes	characteristic, complemented
361	#4034	C₂×C₄	1	1	yes	characteristic, complemented
362	#4034	C₂×C₄	1	1	yes	characteristic, complemented
363	#4034	C₂×C₄	1	1	yes	characteristic, complemented
364	#4034	C₂×C₄	1	1	yes	characteristic, complemented
365	#4033	C₂×C₄	1	1	yes	characteristic, complemented
366	#4033	C₂×C₄	1	1	yes	characteristic, complemented
367	#4033	C₂×C₄	1	1	yes	characteristic, complemented
368	#4033	C₂×C₄	1	1	yes	characteristic, complemented
369	#4033	C₂×C₄	1	1	yes	characteristic, complemented
370	#4033	C₂×C₄	1	1	yes	characteristic, complemented
371	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
372	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
373	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
374	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
375	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
376	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
377	#4025	C₂×C₄	1	1	yes	characteristic
378	#4025	C₂×C₄	1	1	yes	characteristic
379	#4025	C₂×C₄	1	1	yes	characteristic
380	#4025	C₂×C₄	1	1	yes	characteristic
381	#4025	C₂×C₄	1	1	yes	characteristic
382	#4025	C₂×C₄	1	1	yes	characteristic
383	#4025	C₂×C₄	1	1	yes	characteristic
384	#4025	C₂×C₄	1	1	yes	characteristic
385	#4025	C₂×C₄	1	1	yes	characteristic
386	#4025	C₂×C₄	1	1	yes	characteristic
387	#4025	C₂×C₄	1	1	yes	characteristic
388	#4025	C₂×C₄	1	1	yes	characteristic
389	#4024	C₂×C₄	1	1	yes	characteristic
390	#4024	C₂×C₄	1	1	yes	characteristic
391	#4024	C₂×C₄	1	1	yes	characteristic
392	#4024	C₂×C₄	1	1	yes	characteristic
393	#4023	C₂×C₄	1	1	yes	characteristic
394	#4023	C₂×C₄	1	1	yes	characteristic
395	#4022	C₂×C₄	1	1	yes	characteristic
396	#4022	C₂×C₄	1	1	yes	characteristic
397	#4022	C₂×C₄	1	1	yes	characteristic
398	#4022	C₂×C₄	1	1	yes	characteristic
399	#4018	C₂×C₄	1	1	yes	characteristic
400	#4018	C₂×C₄	1	1	yes	characteristic
401	C₄²×D₅	C₂³	1	1	yes	characteristic
402	C₄²×D₅	C₂³	1	1	yes	characteristic
403	C₄²×D₅	C₂³	1	1	yes	characteristic
404	C₄²×D₅	C₂³	1	1	yes	characteristic
405	C₄²×D₅	C₂³	1	1	yes	characteristic
406	C₄²×D₅	C₂³	1	1	yes	characteristic
407	#4016	C₂×C₄	1	1	yes	characteristic, complemented
408	#4016	C₂×C₄	1	1	yes	characteristic, complemented
409	#4016	C₂×C₄	1	1	yes	characteristic, complemented
410	#4016	C₂×C₄	1	1	yes	characteristic, complemented
411	#4016	C₂×C₄	1	1	yes	characteristic, complemented
412	#4015	C₂×C₄	1	1	yes	characteristic, complemented
413	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
414	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
415	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
416	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
417	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
418	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
419	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
420	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
421	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
422	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
423	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
424	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
425	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
426	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
427	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
428	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
429	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
430	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
431	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
432	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
433	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
434	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
435	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
436	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
437	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
438	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
439	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
440	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
441	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
442	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
443	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
444	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
445	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
446	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
447	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
448	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
449	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
450	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
451	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
452	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
453	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
454	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
455	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
456	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
457	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
458	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
459	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
460	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
461	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
462	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
463	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
464	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
465	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
466	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
467	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
468	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
469	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
470	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
471	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
472	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
473	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
474	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
475	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
476	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
477	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
478	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
479	C₂×#541	—	5	1	no	—
480	#2383	—	5	1	no	—
481	#2382	—	5	1	no	—
482	#2382	—	5	1	no	—
483	#2378	—	5	1	no	—
484	#2373	—	5	1	no	—
485	#2373	—	5	1	no	—
486	#2373	—	5	1	no	—
487	#2371	—	5	1	no	—
488	#2371	—	5	1	no	—
489	#2370	—	5	1	no	—
490	#2370	—	5	1	no	—
491	#2368	—	5	1	no	—
492	#2356	—	5	1	no	—
493	#2355	—	5	1	no	—
494	#2346	—	5	1	no	—
495	#2343	—	5	1	no	—
496	#2336	—	5	1	no	—
497	#2336	—	5	1	no	—
498	#2334	—	5	1	no	—
499	#2334	—	5	1	no	—
500	#2334	—	5	1	no	—
501	#2332	—	5	1	no	—
502	#2331	—	5	1	no	—
503	#2331	—	5	1	no	—
504	#2330	—	5	1	no	—
505	#2329	—	5	1	no	—
506	#2320	—	5	1	no	—
507	C₄×#125	—	5	1	no	—
508	C₄×#126	—	5	1	no	—
509	#2295	—	5	1	no	—
510	C₂³×D₅	C₂⁴	1	1	yes	characteristic
511	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
512	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
513	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
514	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
515	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
516	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
517	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
518	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
519	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
520	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
521	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
522	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
523	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
524	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
525	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
526	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
527	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
528	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
529	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
530	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
531	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
532	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
535	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
536	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
537	Q₈×D₅	—	4	1	no	—
538	Q₈×D₅	—	4	1	no	—
539	Q₈×D₅	—	4	1	no	—
540	Q₈×D₅	—	4	1	no	—
541	C₂×C₄×D₅	—	4	1	no	—
542	C₂×C₄×D₅	—	4	1	no	—
543	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
547	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
559	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
560	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
561	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
562	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
563	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
564	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
565	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
566	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
567	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
568	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
569	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
570	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
571	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
572	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
573	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
574	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
575	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
576	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
577	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
578	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
579	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
580	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
581	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
582	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
583	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
584	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
585	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
586	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
587	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
588	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
589	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
590	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
591	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
592	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
593	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
594	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
595	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
596	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
597	C₄×AGL(1,𝔽₅)	—	2	2	no	—
598	C₄×AGL(1,𝔽₅)	—	2	2	no	—
599	C₄×AGL(1,𝔽₅)	—	2	2	no	—
600	C₄×AGL(1,𝔽₅)	—	2	2	no	—
601	C₄×AGL(1,𝔽₅)	—	2	2	no	—
602	C₄×AGL(1,𝔽₅)	—	4	1	no	—
603	C₄×AGL(1,𝔽₅)	—	4	1	no	—
604	C₄×AGL(1,𝔽₅)	—	4	1	no	—
605	C₄×AGL(1,𝔽₅)	—	4	1	no	—
606	C₄×AGL(1,𝔽₅)	—	4	1	no	—
607	C₄×AGL(1,𝔽₅)	—	4	1	no	—
608	C₄×AGL(1,𝔽₅)	—	4	1	no	—
609	C₄×AGL(1,𝔽₅)	—	4	1	no	—
610	C₄×AGL(1,𝔽₅)	—	4	1	no	—
611	C₄×AGL(1,𝔽₅)	—	4	1	no	—
612	C₄×AGL(1,𝔽₅)	—	4	1	no	—
613	C₄×AGL(1,𝔽₅)	—	4	1	no	—
614	C₄×AGL(1,𝔽₅)	—	4	1	no	—
615	C₄×AGL(1,𝔽₅)	—	4	1	no	—
616	C₄×AGL(1,𝔽₅)	—	4	1	no	—
617	C₄×AGL(1,𝔽₅)	—	4	1	no	—
618	C₄×AGL(1,𝔽₅)	—	4	1	no	—
619	C₄×AGL(1,𝔽₅)	—	4	1	no	—
620	C₄×AGL(1,𝔽₅)	—	4	1	no	—
621	C₄×AGL(1,𝔽₅)	—	4	1	no	—
622	C₄×AGL(1,𝔽₅)	—	4	1	no	—
623	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
650	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
651	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
652	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
653	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
654	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
655	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
656	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
657	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
658	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
659	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
660	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
661	#685	C₂²×C₄	1	1	yes	characteristic
662	#685	C₂²×C₄	1	1	yes	characteristic
663	#685	C₂²×C₄	1	1	yes	characteristic
664	#685	C₂²×C₄	1	1	yes	characteristic
665	#685	C₂²×C₄	1	1	yes	characteristic
666	#685	C₂²×C₄	1	1	yes	characteristic
667	#685	C₂²×C₄	1	1	yes	characteristic
668	#685	C₂²×C₄	1	1	yes	characteristic
669	#685	C₂²×C₄	1	1	yes	characteristic
670	#685	C₂²×C₄	1	1	yes	characteristic
671	#685	C₂²×C₄	1	1	yes	characteristic
672	#685	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
681	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
682	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
683	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
684	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
685	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
686	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
687	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
688	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
689	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
691	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
692	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
693	#683	C₂²×C₄	1	1	yes	characteristic
694	#683	C₂²×C₄	1	1	yes	characteristic
695	#683	C₂²×C₄	1	1	yes	characteristic
696	#683	C₂²×C₄	1	1	yes	characteristic
697	#683	C₂²×C₄	1	1	yes	characteristic
698	#683	C₂²×C₄	1	1	yes	characteristic
699	#683	C₂²×C₄	1	1	yes	characteristic
700	#683	C₂²×C₄	1	1	yes	characteristic
701	#683	C₂²×C₄	1	1	yes	characteristic
702	#683	C₂²×C₄	1	1	yes	characteristic
703	#683	C₂²×C₄	1	1	yes	characteristic
704	#683	C₂²×C₄	1	1	yes	characteristic
705	#683	C₂²×C₄	1	1	yes	characteristic
706	#683	C₂²×C₄	1	1	yes	characteristic
707	#683	C₂²×C₄	1	1	yes	characteristic
708	#683	C₂²×C₄	1	1	yes	characteristic
709	#683	C₂²×C₄	1	1	yes	characteristic
710	#683	C₂²×C₄	1	1	yes	characteristic
711	#683	C₂²×C₄	1	1	yes	characteristic
712	#683	C₂²×C₄	1	1	yes	characteristic
713	#683	C₂²×C₄	1	1	yes	characteristic
714	#683	C₂²×C₄	1	1	yes	characteristic
715	#683	C₂²×C₄	1	1	yes	characteristic
716	#683	C₂²×C₄	1	1	yes	characteristic
717	#683	C₂²×C₄	1	1	yes	characteristic
718	#683	C₂²×C₄	1	1	yes	characteristic
719	#683	C₂²×C₄	1	1	yes	characteristic
720	#683	C₂²×C₄	1	1	yes	characteristic
721	#683	C₂²×C₄	1	1	yes	characteristic
722	#683	C₂²×C₄	1	1	yes	characteristic
723	#683	C₂²×C₄	1	1	yes	characteristic
724	#683	C₂²×C₄	1	1	yes	characteristic
725	#683	C₂²×C₄	1	1	yes	characteristic
726	#683	C₂²×C₄	1	1	yes	characteristic
727	#683	C₂²×C₄	1	1	yes	characteristic
728	#683	C₂²×C₄	1	1	yes	characteristic
729	#683	C₂²×C₄	1	1	yes	characteristic
730	#683	C₂²×C₄	1	1	yes	characteristic
731	#683	C₂²×C₄	1	1	yes	characteristic
732	#683	C₂²×C₄	1	1	yes	characteristic
733	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
734	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
735	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
736	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
737	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
738	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
739	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
740	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
741	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
742	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
743	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
744	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
745	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
746	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
747	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
748	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
749	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
750	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
751	#541	—	5	1	no	—
752	#541	—	5	1	no	—
753	#541	—	5	1	no	—
754	#541	—	5	1	no	—
755	#541	—	5	1	no	—
756	#541	—	5	1	no	—
757	#541	—	5	1	no	—
758	#541	—	5	1	no	—
759	#541	—	5	1	no	—
760	#541	—	5	1	no	—
761	#541	—	5	1	no	—
762	#541	—	5	1	no	—
763	#541	—	5	1	no	—
764	#541	—	5	1	no	—
765	#541	—	5	1	no	—
766	#541	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
767	C₂×C₄⋊Q₈	—	5	1	no	—
768	C₂×#126	—	5	1	no	—
769	C₂×#126	—	5	1	no	—
770	C₂×#126	—	5	1	no	—
771	C₂×#126	—	5	1	no	—
772	C₂×#125	—	5	1	no	—
773	C₂×#125	—	5	1	no	—
774	C₂×#125	—	5	1	no	—
775	C₂×#125	—	5	1	no	—
776	C₂×#125	—	5	1	no	—
777	C₂×C₂²⋊Q₈	—	5	1	no	—
778	C₂×C₂²⋊Q₈	—	5	1	no	—
779	C₂×C₄×Q₈	—	5	1	no	—
780	C₂×C₄×Q₈	—	5	1	no	—
781	C₂×#117	—	5	1	no	—
782	#391	—	5	1	no	—
783	#391	—	5	1	no	—
784	#391	—	5	1	no	—
785	#391	—	5	1	no	—
786	#391	—	5	1	no	—
787	#391	—	5	1	no	—
788	#391	—	5	1	no	—
789	#391	—	5	1	no	—
790	#389	—	5	1	no	—
791	#389	—	5	1	no	—
792	#389	—	5	1	no	—
793	#389	—	5	1	no	—
794	#389	—	5	1	no	—
795	#389	—	5	1	no	—
796	#389	—	5	1	no	—
797	#389	—	5	1	no	—
798	#389	—	5	1	no	—
799	#389	—	5	1	no	—
800	#389	—	5	1	no	—
801	#389	—	5	1	no	—
802	#389	—	5	1	no	—
803	#389	—	5	1	no	—
804	#389	—	5	1	no	—
805	#389	—	5	1	no	—
806	#389	—	5	1	no	—
807	#389	—	5	1	no	—
808	#388	—	5	1	no	—
809	#388	—	5	1	no	—
810	#388	—	5	1	no	—
811	#388	—	5	1	no	—
812	#388	—	5	1	no	—
813	#388	—	5	1	no	—
814	#388	—	5	1	no	—
815	#388	—	5	1	no	—
816	#388	—	5	1	no	—
817	#388	—	5	1	no	—
818	#388	—	5	1	no	—
819	#388	—	5	1	no	—
820	#387	—	5	1	no	—
821	#387	—	5	1	no	—
822	#387	—	5	1	no	—
823	#387	—	5	1	no	—
824	#387	—	5	1	no	—
825	#387	—	5	1	no	—
826	#387	—	5	1	no	—
827	#387	—	5	1	no	—
828	#387	—	5	1	no	—
829	#387	—	5	1	no	—
830	#387	—	5	1	no	—
831	#387	—	5	1	no	—
832	#387	—	5	1	no	—
833	#387	—	5	1	no	—
834	#387	—	5	1	no	—
835	#387	—	5	1	no	—
836	#387	—	5	1	no	—
837	#387	—	5	1	no	—
838	#387	—	5	1	no	—
839	#387	—	5	1	no	—
840	#387	—	5	1	no	—
841	#387	—	5	1	no	—
842	#387	—	5	1	no	—
843	#387	—	5	1	no	—
844	#387	—	5	1	no	—
845	#387	—	5	1	no	—
846	#387	—	5	1	no	—
847	#387	—	5	1	no	—
848	#387	—	5	1	no	—
849	#387	—	5	1	no	—
850	#387	—	5	1	no	—
851	#387	—	5	1	no	—
852	#387	—	5	1	no	—
853	#387	—	5	1	no	—
854	#387	—	5	1	no	—
855	#387	—	5	1	no	—
856	#387	—	5	1	no	—
857	#387	—	5	1	no	—
858	#387	—	5	1	no	—
859	#387	—	5	1	no	—
860	#387	—	5	1	no	—
861	#387	—	5	1	no	—
862	#387	—	5	1	no	—
863	#387	—	5	1	no	—
864	#385	—	5	1	no	—
865	#385	—	5	1	no	—
866	#385	—	5	1	no	—
867	#385	—	5	1	no	—
868	#385	—	5	1	no	—
869	#385	—	5	1	no	—
870	#384	—	5	1	no	—
871	#383	—	5	1	no	—
872	#383	—	5	1	no	—
873	#383	—	5	1	no	—
874	#382	—	5	1	no	—
875	#382	—	5	1	no	—
876	#382	—	5	1	no	—
877	#382	—	5	1	no	—
878	#382	—	5	1	no	—
879	#382	—	5	1	no	—
880	#381	—	5	1	no	—
881	#380	—	5	1	no	—
882	C₄×C₄⋊C₄	—	5	1	no	—
883	C₄×C₄⋊C₄	—	5	1	no	—
884	C₄×C₄⋊C₄	—	5	1	no	—
885	C₄×C₄⋊C₄	—	5	1	no	—
886	C₄×C₄⋊C₄	—	5	1	no	—
887	C₄×C₄⋊C₄	—	5	1	no	—
888	C₄×C₄⋊C₄	—	5	1	no	—
889	C₄×C₄⋊C₄	—	5	1	no	—
890	C₄×C₄⋊C₄	—	5	1	no	—
891	C₄×C₄⋊C₄	—	5	1	no	—
892	C₄×C₄⋊C₄	—	5	1	no	—
893	C₄×C₄⋊C₄	—	5	1	no	—
894	C₄×C₄⋊C₄	—	5	1	no	—
895	C₄×C₄⋊C₄	—	5	1	no	—
896	C₄×C₄⋊C₄	—	5	1	no	—
897	C₄×C₄⋊C₄	—	5	1	no	—
898	C₄×C₄⋊C₄	—	5	1	no	—
899	C₄×C₄⋊C₄	—	5	1	no	—
900	C₄×C₄⋊C₄	—	5	1	no	—
901	C₄×C₄⋊C₄	—	5	1	no	—
902	C₄×C₄⋊C₄	—	5	1	no	—
903	C₄×C₄⋊C₄	—	5	1	no	—
904	C₄×C₄⋊C₄	—	5	1	no	—
905	C₄×C₄⋊C₄	—	5	1	no	—
906	C₄×C₄⋊C₄	—	5	1	no	—
907	C₄×C₂²⋊C₄	—	5	1	no	—
908	C₄×C₂²⋊C₄	—	5	1	no	—
909	C₄×C₂²⋊C₄	—	5	1	no	—
910	C₄×C₂²⋊C₄	—	5	1	no	—
911	C₄×C₂²⋊C₄	—	5	1	no	—
912	C₄×C₂²⋊C₄	—	5	1	no	—
913	C₄×C₂²⋊C₄	—	5	1	no	—
914	#376	—	5	1	no	—
915	#376	—	5	1	no	—
916	#376	—	5	1	no	—
917	#376	—	5	1	no	—
918	#376	—	5	1	no	—
919	#376	—	5	1	no	—
920	C₂×#95	—	5	1	no	—
921	C₄³	—	5	1	no	—
922	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
923	C₂²×D₅	—	2	1	no	—
924	C₂²×D₅	—	2	1	no	—
925	C₂²×D₅	—	2	1	no	—
926	C₂²×D₅	—	2	1	no	—
927	C₂²×D₅	—	2	1	no	—
928	C₂²×D₅	—	2	1	no	—
929	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
930	C₂²×D₅	C₂⁵	1	1	yes	characteristic
931	C₂×AGL(1,𝔽₅)	—	2	1	no	—
932	C₂×AGL(1,𝔽₅)	—	2	1	no	—
933	C₂×AGL(1,𝔽₅)	—	2	1	no	—
934	C₂×AGL(1,𝔽₅)	—	2	1	no	—
935	C₂×AGL(1,𝔽₅)	—	2	1	no	—
936	C₂×AGL(1,𝔽₅)	—	2	1	no	—
937	C₂×AGL(1,𝔽₅)	—	2	1	no	—
938	C₂×AGL(1,𝔽₅)	—	2	1	no	—
939	C₂×AGL(1,𝔽₅)	—	2	1	no	—
940	C₂×AGL(1,𝔽₅)	—	2	1	no	—
941	C₂×AGL(1,𝔽₅)	—	2	1	no	—
942	C₂×AGL(1,𝔽₅)	—	2	1	no	—
943	C₂×AGL(1,𝔽₅)	—	2	1	no	—
944	C₂×AGL(1,𝔽₅)	—	2	1	no	—
945	C₂×AGL(1,𝔽₅)	—	2	1	no	—
946	C₂×AGL(1,𝔽₅)	—	2	1	no	—
947	C₂×AGL(1,𝔽₅)	—	2	1	no	—
948	C₂×AGL(1,𝔽₅)	—	2	1	no	—
949	C₂×AGL(1,𝔽₅)	—	2	1	no	—
950	C₂×AGL(1,𝔽₅)	—	2	1	no	—
951	C₂×AGL(1,𝔽₅)	—	2	1	no	—
952	C₂×AGL(1,𝔽₅)	—	2	1	no	—
953	C₂×AGL(1,𝔽₅)	—	2	1	no	—
954	C₂×AGL(1,𝔽₅)	—	2	1	no	—
955	C₂×AGL(1,𝔽₅)	—	2	1	no	—
956	C₂×AGL(1,𝔽₅)	—	2	1	no	—
957	C₂×AGL(1,𝔽₅)	—	2	1	no	—
958	C₂×AGL(1,𝔽₅)	—	2	1	no	—
959	C₂×AGL(1,𝔽₅)	—	2	1	no	—
960	C₂×AGL(1,𝔽₅)	—	2	1	no	—
961	C₂×AGL(1,𝔽₅)	—	2	1	no	—
962	C₂×AGL(1,𝔽₅)	—	2	1	no	—
963	C₂×AGL(1,𝔽₅)	—	2	1	no	—
964	C₂×AGL(1,𝔽₅)	—	2	1	no	—
965	C₂×AGL(1,𝔽₅)	—	2	1	no	—
966	C₂×AGL(1,𝔽₅)	—	2	1	no	—
967	C₂×AGL(1,𝔽₅)	—	2	1	no	—
968	C₂×AGL(1,𝔽₅)	—	2	1	no	—
969	C₂×AGL(1,𝔽₅)	—	2	1	no	—
970	C₂×AGL(1,𝔽₅)	—	2	1	no	—
971	C₂×AGL(1,𝔽₅)	—	2	1	no	—
972	C₂×AGL(1,𝔽₅)	—	2	1	no	—
973	C₂×AGL(1,𝔽₅)	—	2	1	no	—
974	C₂×AGL(1,𝔽₅)	—	2	1	no	—
975	C₂×AGL(1,𝔽₅)	—	2	1	no	—
976	C₂×AGL(1,𝔽₅)	—	2	1	no	—
977	C₂×AGL(1,𝔽₅)	—	8	2	no	—
978	C₂×AGL(1,𝔽₅)	—	8	2	no	—
979	C₂×AGL(1,𝔽₅)	2₋¹⁺⁴	1	2	yes	—
980	C₂×AGL(1,𝔽₅)	2₋¹⁺⁴	1	2	yes	—
981	C₅×Q₈	—	4	1	no	—
982	C₅×Q₈	—	4	1	no	—
983	C₂×C₄×C₅	—	4	1	no	—
984	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
985	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
986	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
987	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
988	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
989	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
990	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
991	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
992	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
993	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
994	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
995	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
996	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
997	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
998	C₂×Dic₅	—	4	1	no	—
999	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1000	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1001	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1002	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1003	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1004	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1005	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1006	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1007	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1008	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1009	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1010	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1011	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1012	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1013	C₄×D₅	—	2	1	no	—
1014	C₄×D₅	—	2	1	no	—
1015	C₄×D₅	—	2	1	no	—
1016	C₄×D₅	—	2	1	no	—
1017	C₄×D₅	—	2	1	no	—
1018	C₄×D₅	—	2	1	no	—
1019	C₄×D₅	—	2	1	no	—
1020	C₄×D₅	—	2	1	no	—
1021	C₄×D₅	—	2	1	no	—
1022	C₄×D₅	—	2	1	no	—
1023	C₄×D₅	—	2	1	no	—
1024	C₄×D₅	—	2	1	no	—
1025	C₄×D₅	—	2	1	no	—
1026	C₄×D₅	—	2	1	no	—
1027	C₄×D₅	—	2	1	no	—
1028	C₄×D₅	—	2	1	no	—
1029	C₄×D₅	—	2	1	no	—
1030	C₄×D₅	—	2	1	no	—
1031	C₄×D₅	—	2	1	no	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	2	1	no	—
1034	C₄×D₅	—	2	1	no	—
1035	C₄×D₅	—	2	1	no	—
1036	C₄×D₅	—	2	1	no	—
1037	C₄×D₅	—	2	1	no	—
1038	C₄×D₅	—	2	1	no	—
1039	C₄×D₅	—	2	1	no	—
1040	C₄×D₅	—	2	1	no	—
1041	C₄×D₅	—	4	1	no	—
1042	C₄×D₅	—	4	1	no	—
1043	Dic₁₀	—	4	1	no	—
1044	Dic₁₀	—	4	1	no	—
1045	Dic₁₀	—	4	1	no	—
1046	Dic₁₀	—	4	1	no	—
1047	Dic₁₀	—	4	1	no	—
1048	Dic₁₀	—	4	1	no	—
1049	C₂²×Q₈	—	5	1	no	—
1050	C₂²×Q₈	—	5	1	no	—
1051	C₂³×C₄	—	5	1	no	—
1052	C₂³×C₄	—	5	1	no	—
1053	C₂³×C₄	—	5	1	no	—
1054	C₄⋊Q₈	—	5	1	no	—
1055	C₄⋊Q₈	—	5	1	no	—
1056	C₄⋊Q₈	—	5	1	no	—
1057	C₄⋊Q₈	—	5	1	no	—
1058	C₄⋊Q₈	—	5	1	no	—
1059	C₄⋊Q₈	—	5	1	no	—
1060	C₄⋊Q₈	—	5	1	no	—
1061	C₄⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1062	#126	—	5	1	no	—
1063	#126	—	5	1	no	—
1064	#126	—	5	1	no	—
1065	#126	—	5	1	no	—
1066	#126	—	5	1	no	—
1067	#126	—	5	1	no	—
1068	#126	—	5	1	no	—
1069	#126	—	5	1	no	—
1070	#126	—	5	1	no	—
1071	#126	—	5	1	no	—
1072	#126	—	5	1	no	—
1073	#126	—	5	1	no	—
1074	#126	—	5	1	no	—
1075	#126	—	5	1	no	—
1076	#126	—	5	1	no	—
1077	#126	—	5	1	no	—
1078	#126	—	5	1	no	—
1079	#126	—	5	1	no	—
1080	#126	—	5	1	no	—
1081	#126	—	5	1	no	—
1082	#126	—	5	1	no	—
1083	#126	—	5	1	no	—
1084	#126	—	5	1	no	—
1085	#126	—	5	1	no	—
1086	#126	—	5	1	no	—
1087	#126	—	5	1	no	—
1088	#126	—	5	1	no	—
1089	#126	—	5	1	no	—
1090	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1091	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1092	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1093	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1094	#125	—	5	1	no	—
1095	#125	—	5	1	no	—
1096	#125	—	5	1	no	—
1097	#125	—	5	1	no	—
1098	#125	—	5	1	no	—
1099	#125	—	5	1	no	—
1100	#125	—	5	1	no	—
1101	#125	—	5	1	no	—
1102	#125	—	5	1	no	—
1103	#125	—	5	1	no	—
1104	#125	—	5	1	no	—
1105	#125	—	5	1	no	—
1106	#125	—	5	1	no	—
1107	#125	—	5	1	no	—
1108	#125	—	5	1	no	—
1109	#125	—	5	1	no	—
1110	#125	—	5	1	no	—
1111	#125	—	5	1	no	—
1112	#125	—	5	1	no	—
1113	#125	—	5	1	no	—
1114	#125	—	5	1	no	—
1115	#125	—	5	1	no	—
1116	#125	—	5	1	no	—
1117	#125	—	5	1	no	—
1118	#125	—	5	1	no	—
1119	#125	—	5	1	no	—
1120	#125	—	5	1	no	—
1121	#125	—	5	1	no	—
1122	#125	—	5	1	no	—
1123	#125	—	5	1	no	—
1124	#125	—	5	1	no	—
1125	#125	—	5	1	no	—
1126	#125	—	5	1	no	—
1127	#125	—	5	1	no	—
1128	#125	—	5	1	no	—
1129	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1130	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1131	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1132	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1133	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1134	C₂²⋊Q₈	—	5	1	no	—
1135	C₂²⋊Q₈	—	5	1	no	—
1136	C₂²⋊Q₈	—	5	1	no	—
1137	C₂²⋊Q₈	—	5	1	no	—
1138	C₂²⋊Q₈	—	5	1	no	—
1139	C₂²⋊Q₈	—	5	1	no	—
1140	C₂²⋊Q₈	—	5	1	no	—
1141	C₂²⋊Q₈	—	5	1	no	—
1142	C₂²⋊Q₈	—	5	1	no	—
1143	C₂²⋊Q₈	—	5	1	no	—
1144	C₂²⋊Q₈	—	5	1	no	—
1145	C₂²⋊Q₈	—	5	1	no	—
1146	C₂²⋊Q₈	—	5	1	no	—
1147	C₂²⋊Q₈	—	5	1	no	—
1148	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1150	C₄×Q₈	—	5	1	no	—
1151	C₄×Q₈	—	5	1	no	—
1152	C₄×Q₈	—	5	1	no	—
1153	C₄×Q₈	—	5	1	no	—
1154	C₄×Q₈	—	5	1	no	—
1155	C₄×Q₈	—	5	1	no	—
1156	C₄×Q₈	—	5	1	no	—
1157	C₄×Q₈	—	5	1	no	—
1158	C₄×Q₈	—	5	1	no	—
1159	C₄×Q₈	—	5	1	no	—
1160	C₄×Q₈	—	5	1	no	—
1161	C₄×Q₈	—	5	1	no	—
1162	C₄×Q₈	—	5	1	no	—
1163	C₄×Q₈	—	5	1	no	—
1164	C₄×Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1165	C₄×Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1166	#117	—	5	1	no	—
1167	#117	—	5	1	no	—
1168	#117	—	5	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	5	1	no	—
1173	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1174	C₂×C₄⋊C₄	—	5	1	no	—
1175	C₂×C₄⋊C₄	—	5	1	no	—
1176	C₂×C₄⋊C₄	—	5	1	no	—
1177	C₂×C₄⋊C₄	—	5	1	no	—
1178	C₂×C₄⋊C₄	—	5	1	no	—
1179	C₂×C₄⋊C₄	—	5	1	no	—
1180	C₂×C₄⋊C₄	—	5	1	no	—
1181	C₂×C₄⋊C₄	—	5	1	no	—
1182	C₂×C₄⋊C₄	—	5	1	no	—
1183	C₂×C₄⋊C₄	—	5	1	no	—
1184	C₂×C₄⋊C₄	—	5	1	no	—
1185	C₂×C₄⋊C₄	—	5	1	no	—
1186	C₂×C₄⋊C₄	—	5	1	no	—
1187	C₂×C₄⋊C₄	—	5	1	no	—
1188	C₂×C₄⋊C₄	—	5	1	no	—
1189	C₂×C₄⋊C₄	—	5	1	no	—
1190	C₂×C₄⋊C₄	—	5	1	no	—
1191	C₂×C₄⋊C₄	—	5	1	no	—
1192	C₂×C₄⋊C₄	—	5	1	no	—
1193	C₂×C₄⋊C₄	—	5	1	no	—
1194	C₂×C₄⋊C₄	—	5	1	no	—
1195	C₂×C₄⋊C₄	—	5	1	no	—
1196	C₂×C₄⋊C₄	—	5	1	no	—
1197	C₂×C₄⋊C₄	—	5	1	no	—
1198	C₂×C₄⋊C₄	—	5	1	no	—
1199	C₂×C₄⋊C₄	—	5	1	no	—
1200	C₂×C₄⋊C₄	—	5	1	no	—
1201	C₂×C₄⋊C₄	—	5	1	no	—
1202	C₂×C₄⋊C₄	—	5	1	no	—
1203	C₂×C₄⋊C₄	—	5	1	no	—
1204	C₂×C₄⋊C₄	—	5	1	no	—
1205	C₂×C₄⋊C₄	—	5	1	no	—
1206	C₂×C₄⋊C₄	—	5	1	no	—
1207	C₂×C₄⋊C₄	—	5	1	no	—
1208	C₂×C₄⋊C₄	—	5	1	no	—
1209	C₂×C₄⋊C₄	—	5	1	no	—
1210	C₂×C₄⋊C₄	—	5	1	no	—
1211	C₂×C₄⋊C₄	—	5	1	no	—
1212	C₂×C₄⋊C₄	—	5	1	no	—
1213	C₂×C₄⋊C₄	—	5	1	no	—
1214	C₂×C₄⋊C₄	—	5	1	no	—
1215	C₂×C₄⋊C₄	—	5	1	no	—
1216	C₂×C₄⋊C₄	—	5	1	no	—
1217	C₂×C₄⋊C₄	—	5	1	no	—
1218	C₂×C₄⋊C₄	—	5	1	no	—
1219	C₂×C₄⋊C₄	—	5	1	no	—
1220	C₂×C₂²⋊C₄	—	5	1	no	—
1221	C₂×C₂²⋊C₄	—	5	1	no	—
1222	C₂×C₂²⋊C₄	—	5	1	no	—
1223	C₂×C₂²⋊C₄	—	5	1	no	—
1224	C₂×C₂²⋊C₄	—	5	1	no	—
1225	C₂×C₂²⋊C₄	—	5	1	no	—
1226	C₂×C₂²⋊C₄	—	5	1	no	—
1227	C₂×C₂²⋊C₄	—	5	1	no	—
1228	C₂×C₂²⋊C₄	—	5	1	no	—
1229	C₂×C₂²⋊C₄	—	5	1	no	—
1230	C₂×C₂²⋊C₄	—	5	1	no	—
1231	C₂×C₂²⋊C₄	—	5	1	no	—
1232	C₂×C₄²	—	5	1	no	—
1233	C₂×C₄²	—	5	1	no	—
1234	C₂×C₄²	—	5	1	no	—
1235	C₂×C₄²	—	5	1	no	—
1236	C₂×C₄²	—	5	1	no	—
1237	C₂×C₄²	—	5	1	no	—
1238	C₂×C₄²	—	5	1	no	—
1239	C₂×C₄²	—	5	1	no	—
1240	C₂×C₄²	—	5	1	no	—
1241	C₂×C₄²	—	5	1	no	—
1242	C₂×C₄²	—	5	1	no	—
1243	C₂×C₄²	—	5	1	no	—
1244	C₂×C₄²	—	5	1	no	—
1245	C₂×C₄²	—	5	1	no	—
1246	C₂×C₄²	—	5	1	no	—
1247	C₂×C₄²	—	5	1	no	—
1248	C₂×C₄²	—	5	1	no	—
1249	C₂×C₄²	—	5	1	no	—
1250	C₂×C₄²	—	5	1	no	—
1251	C₂×C₄²	—	5	1	no	—
1252	C₂×C₄²	—	5	1	no	—
1253	C₂×C₄²	—	5	1	no	—
1254	C₂×C₄²	—	5	1	no	—
1255	C₂×C₄²	—	5	1	no	—
1256	C₂×C₄²	—	5	1	no	—
1257	C₂×C₄²	—	5	1	no	—
1258	C₂×C₄²	—	5	1	no	—
1259	C₂×C₄²	—	5	1	no	—
1260	C₂×C₄²	—	5	1	no	—
1261	C₂×C₄²	—	5	1	no	—
1262	C₂×C₄²	—	5	1	no	—
1263	C₂×C₄²	—	5	1	no	—
1264	#95	—	5	1	no	—
1265	#95	—	5	1	no	—
1266	#95	—	5	1	no	—
1267	#95	—	5	1	no	—
1268	#95	—	5	1	no	—
1269	#95	—	5	1	no	—
1270	#95	—	5	1	no	—
1271	#95	—	5	1	no	—
1272	#95	—	5	1	no	—
1273	#95	—	5	1	no	—
1274	#95	—	5	1	no	—
1275	#95	—	5	1	no	—
1276	#95	—	5	1	no	—
1277	#95	—	5	1	no	—
1278	#95	—	5	1	no	—
1279	#95	—	5	1	no	—
1280	#95	—	5	1	no	—
1281	#95	—	5	1	no	—
1282	#95	—	5	1	no	—
1283	#95	—	5	1	no	—
1284	#95	—	5	1	no	—
1285	#95	—	5	1	no	—
1286	#95	—	5	1	no	—
1287	#95	—	5	1	no	—
1288	#95	—	5	1	no	—
1289	#95	—	5	1	no	—
1290	#95	—	5	1	no	—
1291	#95	—	5	1	no	—
1292	#95	—	5	1	no	—
1293	#95	—	5	1	no	—
1294	#95	—	5	1	no	—
1295	#95	—	5	1	no	—
1296	#95	—	5	1	no	—
1297	#95	—	5	1	no	—
1298	#95	—	5	1	no	—
1299	#95	—	5	1	no	—
1300	#95	—	5	1	no	—
1301	#95	—	5	1	no	—
1302	#95	—	5	1	no	—
1303	#95	—	5	1	no	—
1304	#95	—	5	1	no	—
1305	#95	—	5	1	no	—
1306	#95	—	5	1	no	—
1307	#95	—	5	1	no	—
1308	#95	—	5	1	no	—
1309	#95	—	5	1	no	—
1310	#95	—	5	1	no	—
1311	#95	—	5	1	no	—
1312	#95	—	5	1	no	—
1313	#95	—	5	1	no	—
1314	#95	—	5	1	no	—
1315	#95	—	5	1	no	—
1316	#95	—	5	1	no	—
1317	#95	—	5	1	no	—
1318	#95	—	5	1	no	—
1319	#95	—	5	1	no	—
1320	#95	—	5	1	no	—
1321	#95	—	5	1	no	—
1322	#95	—	5	1	no	—
1323	#95	—	5	1	no	—
1324	C₂²×C₅	—	2	1	no	—
1325	C₂²×C₅	—	2	1	no	—
1326	C₂²×C₅	—	2	1	no	—
1327	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1328	C₂×D₅	—	2	1	no	—
1329	C₂×D₅	—	2	1	no	—
1330	C₂×D₅	—	2	1	no	—
1331	C₂×D₅	—	4	1	no	—
1332	C₂×D₅	—	4	1	no	—
1333	C₂×D₅	—	4	1	no	—
1334	C₂×D₅	—	4	1	no	—
1335	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1336	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1337	C₂×D₅	#585	1	1	yes	characteristic
1338	C₂×D₅	#585	1	1	yes	characteristic
1339	C₂×D₅	#585	1	1	yes	characteristic
1340	C₂×D₅	#585	1	1	yes	characteristic
1341	AGL(1,𝔽₅)	—	2	2	no	—
1342	AGL(1,𝔽₅)	—	2	2	no	—
1343	AGL(1,𝔽₅)	—	4	1	no	—
1344	AGL(1,𝔽₅)	—	4	1	no	—
1345	AGL(1,𝔽₅)	—	4	1	no	—
1346	AGL(1,𝔽₅)	—	4	1	no	—
1347	AGL(1,𝔽₅)	—	4	1	no	—
1348	AGL(1,𝔽₅)	—	4	1	no	—
1349	AGL(1,𝔽₅)	—	4	1	no	—
1350	AGL(1,𝔽₅)	—	4	1	no	—
1351	AGL(1,𝔽₅)	—	4	1	no	—
1352	AGL(1,𝔽₅)	—	4	1	no	—
1353	AGL(1,𝔽₅)	—	4	1	no	—
1354	AGL(1,𝔽₅)	—	4	1	no	—
1355	AGL(1,𝔽₅)	—	4	1	no	—
1356	AGL(1,𝔽₅)	—	4	1	no	—
1357	C₄×C₅	—	2	1	no	—
1358	C₄×C₅	—	2	1	no	—
1359	C₄×C₅	—	2	1	no	—
1360	C₄×C₅	—	2	1	no	—
1361	C₄×C₅	—	2	1	no	—
1362	C₄×C₅	—	2	1	no	—
1363	C₄×C₅	—	2	1	no	—
1364	C₄×C₅	—	2	1	no	—
1365	C₄×C₅	—	2	1	no	—
1366	C₄×C₅	—	2	1	no	—
1367	C₄×C₅	—	2	1	no	—
1368	C₄×C₅	—	2	1	no	—
1369	C₄×C₅	—	2	1	no	—
1370	C₄×C₅	—	2	1	no	—
1371	Dic₅	—	2	1	no	—
1372	Dic₅	—	2	1	no	—
1373	Dic₅	—	2	1	no	—
1374	Dic₅	—	2	1	no	—
1375	Dic₅	—	2	1	no	—
1376	Dic₅	—	2	1	no	—
1377	Dic₅	—	2	1	no	—
1378	Dic₅	—	2	1	no	—
1379	Dic₅	—	2	1	no	—
1380	Dic₅	—	2	1	no	—
1381	Dic₅	—	2	1	no	—
1382	Dic₅	—	2	1	no	—
1383	Dic₅	—	2	1	no	—
1384	Dic₅	—	2	1	no	—
1385	C₂⁴	—	5	1	no	—
1386	C₂×Q₈	—	5	1	no	—
1387	C₂×Q₈	—	5	1	no	—
1388	C₂×Q₈	—	5	1	no	—
1389	C₂×Q₈	—	5	1	no	—
1390	C₂×Q₈	—	5	1	no	—
1391	C₂×Q₈	—	5	1	no	—
1392	C₂×Q₈	—	20	1	no	—
1393	C₂×Q₈	—	20	1	no	—
1394	C₂×Q₈	—	20	1	no	—
1395	C₂×Q₈	—	20	1	no	—
1396	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1397	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1398	C₂²×C₄	—	5	1	no	—
1399	C₂²×C₄	—	5	1	no	—
1400	C₂²×C₄	—	5	1	no	—
1401	C₂²×C₄	—	5	1	no	—
1402	C₂²×C₄	—	5	1	no	—
1403	C₂²×C₄	—	5	1	no	—
1404	C₂²×C₄	—	5	1	no	—
1405	C₂²×C₄	—	5	1	no	—
1406	C₂²×C₄	—	5	1	no	—
1407	C₂²×C₄	—	5	1	no	—
1408	C₂²×C₄	—	5	1	no	—
1409	C₂²×C₄	—	5	1	no	—
1410	C₂²×C₄	—	5	1	no	—
1411	C₂²×C₄	—	5	1	no	—
1412	C₂²×C₄	—	5	1	no	—
1413	C₂²×C₄	—	5	1	no	—
1414	C₂²×C₄	—	5	1	no	—
1415	C₂²×C₄	—	5	1	no	—
1416	C₂²×C₄	—	5	1	no	—
1417	C₂²×C₄	—	5	1	no	—
1418	C₂²×C₄	—	5	1	no	—
1419	C₂²×C₄	—	5	1	no	—
1420	C₂²×C₄	—	5	1	no	—
1421	C₂²×C₄	—	5	1	no	—
1422	C₂²×C₄	—	5	1	no	—
1423	C₂²×C₄	—	5	1	no	—
1424	C₂²×C₄	—	5	1	no	—
1425	C₂²×C₄	—	5	1	no	—
1426	C₂²×C₄	—	5	1	no	—
1427	C₂²×C₄	—	5	1	no	—
1428	C₂²×C₄	—	5	1	no	—
1429	C₂²×C₄	—	5	1	no	—
1430	C₂²×C₄	—	5	1	no	—
1431	C₂²×C₄	—	10	2	no	—
1432	C₂²×C₄	—	20	1	no	—
1433	C₂²×C₄	—	20	1	no	—
1434	C₂²×C₄	—	20	1	no	—
1435	C₂²×C₄	—	20	1	no	—
1436	C₂²×C₄	—	20	1	no	—
1437	C₂²×C₄	—	20	1	no	—
1438	C₂²×C₄	—	20	1	no	—
1439	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1440	C₄⋊C₄	—	5	1	no	—
1441	C₄⋊C₄	—	5	1	no	—
1442	C₄⋊C₄	—	5	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	5	1	no	—
1446	C₄⋊C₄	—	5	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	5	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	5	1	no	—
1459	C₄⋊C₄	—	5	1	no	—
1460	C₄⋊C₄	—	5	1	no	—
1461	C₄⋊C₄	—	5	1	no	—
1462	C₄⋊C₄	—	5	1	no	—
1463	C₄⋊C₄	—	5	1	no	—
1464	C₄⋊C₄	—	5	1	no	—
1465	C₄⋊C₄	—	5	1	no	—
1466	C₄⋊C₄	—	5	1	no	—
1467	C₄⋊C₄	—	5	1	no	—
1468	C₄⋊C₄	—	5	1	no	—
1469	C₄⋊C₄	—	5	1	no	—
1470	C₄⋊C₄	—	5	1	no	—
1471	C₄⋊C₄	—	5	1	no	—
1472	C₄⋊C₄	—	5	1	no	—
1473	C₄⋊C₄	—	5	1	no	—
1474	C₄⋊C₄	—	5	1	no	—
1475	C₄⋊C₄	—	5	1	no	—
1476	C₄⋊C₄	—	5	1	no	—
1477	C₄⋊C₄	—	5	1	no	—
1478	C₄⋊C₄	—	5	1	no	—
1479	C₄⋊C₄	—	5	1	no	—
1480	C₄⋊C₄	—	5	1	no	—
1481	C₄⋊C₄	—	5	1	no	—
1482	C₄⋊C₄	—	5	1	no	—
1483	C₄⋊C₄	—	5	1	no	—
1484	C₄⋊C₄	—	5	1	no	—
1485	C₄⋊C₄	—	5	1	no	—
1486	C₄⋊C₄	—	5	1	no	—
1487	C₄⋊C₄	—	5	1	no	—
1488	C₄⋊C₄	—	5	1	no	—
1489	C₄⋊C₄	—	5	1	no	—
1490	C₄⋊C₄	—	5	1	no	—
1491	C₄⋊C₄	—	5	1	no	—
1492	C₄⋊C₄	—	5	1	no	—
1493	C₄⋊C₄	—	5	1	no	—
1494	C₄⋊C₄	—	5	1	no	—
1495	C₄⋊C₄	—	5	1	no	—
1496	C₄⋊C₄	—	5	1	no	—
1497	C₄⋊C₄	—	5	1	no	—
1498	C₄⋊C₄	—	5	1	no	—
1499	C₄⋊C₄	—	5	1	no	—
1500	C₄⋊C₄	—	10	2	no	—
1501	C₄⋊C₄	—	10	2	no	—
1502	C₄⋊C₄	—	10	2	no	—
1503	C₄⋊C₄	—	20	1	no	—
1504	C₄⋊C₄	—	20	1	no	—
1505	C₄⋊C₄	—	20	1	no	—
1506	C₄⋊C₄	—	20	1	no	—
1507	C₄⋊C₄	—	20	1	no	—
1508	C₄⋊C₄	—	20	1	no	—
1509	C₄⋊C₄	—	20	1	no	—
1510	C₄⋊C₄	—	20	1	no	—
1511	C₄⋊C₄	—	20	1	no	—
1512	C₄⋊C₄	—	20	1	no	—
1513	C₄⋊C₄	—	20	1	no	—
1514	C₄⋊C₄	—	20	1	no	—
1515	C₄⋊C₄	—	20	1	no	—
1516	C₄⋊C₄	—	20	1	no	—
1517	C₄⋊C₄	—	20	1	no	—
1518	C₄⋊C₄	—	20	1	no	—
1519	C₄⋊C₄	—	20	1	no	—
1520	C₄⋊C₄	—	20	1	no	—
1521	C₄⋊C₄	—	20	1	no	—
1522	C₄⋊C₄	—	20	1	no	—
1523	C₄⋊C₄	—	20	1	no	—
1524	C₄⋊C₄	—	20	1	no	—
1525	C₄⋊C₄	—	20	1	no	—
1526	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1527	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1528	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1529	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1530	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1531	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1532	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1533	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1534	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1535	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1536	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1537	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1538	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1539	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1540	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1541	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1542	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1543	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1544	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1545	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1546	C₂²⋊C₄	—	5	1	no	—
1547	C₂²⋊C₄	—	5	1	no	—
1548	C₂²⋊C₄	—	5	1	no	—
1549	C₂²⋊C₄	—	5	1	no	—
1550	C₂²⋊C₄	—	5	1	no	—
1551	C₂²⋊C₄	—	5	1	no	—
1552	C₂²⋊C₄	—	5	1	no	—
1553	C₂²⋊C₄	—	5	1	no	—
1554	C₂²⋊C₄	—	5	1	no	—
1555	C₂²⋊C₄	—	5	1	no	—
1556	C₂²⋊C₄	—	5	1	no	—
1557	C₂²⋊C₄	—	5	1	no	—
1558	C₂²⋊C₄	—	5	1	no	—
1559	C₂²⋊C₄	—	5	1	no	—
1560	C₂²⋊C₄	—	5	1	no	—
1561	C₂²⋊C₄	—	5	1	no	—
1562	C₂²⋊C₄	—	5	1	no	—
1563	C₂²⋊C₄	—	5	1	no	—
1564	C₂²⋊C₄	—	10	2	no	—
1565	C₂²⋊C₄	—	20	1	no	—
1566	C₂²⋊C₄	—	20	1	no	—
1567	C₂²⋊C₄	—	20	1	no	—
1568	C₂²⋊C₄	—	20	1	no	—
1569	C₂²⋊C₄	—	20	1	no	—
1570	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1576	C₄²	—	5	1	no	—
1577	C₄²	—	5	1	no	—
1578	C₄²	—	5	1	no	—
1579	C₄²	—	5	1	no	—
1580	C₄²	—	5	1	no	—
1581	C₄²	—	5	1	no	—
1582	C₄²	—	5	1	no	—
1583	C₄²	—	5	1	no	—
1584	C₄²	—	5	1	no	—
1585	C₄²	—	5	1	no	—
1586	C₄²	—	5	1	no	—
1587	C₄²	—	5	1	no	—
1588	C₄²	—	5	1	no	—
1589	C₄²	—	5	1	no	—
1590	C₄²	—	5	1	no	—
1591	C₄²	—	5	1	no	—
1592	C₄²	—	5	1	no	—
1593	C₄²	—	5	1	no	—
1594	C₄²	—	10	2	no	—
1595	C₄²	—	10	2	no	—
1596	C₄²	—	10	2	no	—
1597	C₄²	—	10	2	no	—
1598	C₄²	—	10	2	no	—
1599	C₄²	—	20	1	no	—
1600	C₄²	—	20	1	no	—
1601	C₄²	—	20	1	no	—
1602	C₄²	—	20	1	no	—
1603	C₄²	—	20	1	no	—
1604	C₄²	—	20	1	no	—
1605	C₄²	—	20	1	no	—
1606	C₄²	—	20	1	no	—
1607	C₄²	—	20	1	no	—
1608	C₄²	—	20	1	no	—
1609	C₄²	—	20	1	no	—
1610	C₄²	—	20	1	no	—
1611	C₄²	—	20	1	no	—
1612	C₄²	—	20	1	no	—
1613	C₄²	—	20	1	no	—
1614	C₄²	—	20	1	no	—
1615	C₄²	—	20	1	no	—
1616	C₄²	—	20	1	no	—
1617	C₄²	—	20	1	no	—
1618	C₄²	—	20	1	no	—
1619	C₄²	—	20	1	no	—
1620	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1621	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1622	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1623	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1624	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1625	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1626	C₂×C₅	—	4	1	no	—
1627	C₂×C₅	#3428	1	1	yes	characteristic
1628	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1629	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1630	D₅	—	4	1	no	—
1631	D₅	#3563	1	1	yes	characteristic
1632	D₅	#3564	1	1	yes	characteristic
1633	D₅	#3565	1	1	yes	characteristic
1634	D₅	#3566	1	1	yes	characteristic
1635	C₂³	—	5	1	no	—
1636	C₂³	—	5	1	no	—
1637	C₂³	—	10	1	no	—
1638	C₂³	—	10	1	no	—
1639	C₂³	—	10	1	no	—
1640	C₂³	—	10	1	no	—
1641	C₂³	—	10	1	no	—
1642	C₂³	—	10	1	no	—
1643	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1644	Q₈	—	4	1	no	—
1645	Q₈	—	4	1	no	—
1646	Q₈	—	20	1	no	—
1647	Q₈	—	20	1	no	—
1648	Q₈	—	20	1	no	—
1649	Q₈	—	20	1	no	—
1650	Q₈	—	20	1	no	—
1651	Q₈	—	20	1	no	—
1652	C₂×C₄	—	4	1	no	—
1653	C₂×C₄	—	5	2	no	—
1654	C₂×C₄	—	5	2	no	—
1655	C₂×C₄	—	5	1	no	—
1656	C₂×C₄	—	5	1	no	—
1657	C₂×C₄	—	5	1	no	—
1658	C₂×C₄	—	5	1	no	—
1659	C₂×C₄	—	5	1	no	—
1660	C₂×C₄	—	5	1	no	—
1661	C₂×C₄	—	5	1	no	—
1662	C₂×C₄	—	5	1	no	—
1663	C₂×C₄	—	5	1	no	—
1664	C₂×C₄	—	5	1	no	—
1665	C₂×C₄	—	5	1	no	—
1666	C₂×C₄	—	5	1	no	—
1667	C₂×C₄	—	5	1	no	—
1668	C₂×C₄	—	5	1	no	—
1669	C₂×C₄	—	10	1	no	—
1670	C₂×C₄	—	10	1	no	—
1671	C₂×C₄	—	10	1	no	—
1672	C₂×C₄	—	10	1	no	—
1673	C₂×C₄	—	10	1	no	—
1674	C₂×C₄	—	10	1	no	—
1675	C₂×C₄	—	10	1	no	—
1676	C₂×C₄	—	10	1	no	—
1677	C₂×C₄	—	10	1	no	—
1678	C₂×C₄	—	10	1	no	—
1679	C₂×C₄	—	10	1	no	—
1680	C₂×C₄	—	10	1	no	—
1681	C₂×C₄	—	10	1	no	—
1682	C₂×C₄	—	10	1	no	—
1683	C₂×C₄	—	10	1	no	—
1684	C₂×C₄	—	10	1	no	—
1685	C₂×C₄	—	10	1	no	—
1686	C₂×C₄	—	10	1	no	—
1687	C₂×C₄	—	10	1	no	—
1688	C₂×C₄	—	10	1	no	—
1689	C₂×C₄	—	10	1	no	—
1690	C₂×C₄	—	10	1	no	—
1691	C₂×C₄	—	10	1	no	—
1692	C₂×C₄	—	10	1	no	—
1693	C₂×C₄	—	10	1	no	—
1694	C₂×C₄	—	10	1	no	—
1695	C₂×C₄	—	10	1	no	—
1696	C₂×C₄	—	10	1	no	—
1697	C₂×C₄	—	10	1	no	—
1698	C₂×C₄	—	10	1	no	—
1699	C₂×C₄	—	10	1	no	—
1700	C₂×C₄	—	10	1	no	—
1701	C₂×C₄	—	10	1	no	—
1702	C₂×C₄	—	10	1	no	—
1703	C₂×C₄	—	10	1	no	—
1704	C₂×C₄	—	10	1	no	—
1705	C₂×C₄	—	10	1	no	—
1706	C₂×C₄	—	10	1	no	—
1707	C₂×C₄	—	10	1	no	—
1708	C₂×C₄	—	10	1	no	—
1709	C₂×C₄	—	10	1	no	—
1710	C₂×C₄	—	10	1	no	—
1711	C₂×C₄	—	10	1	no	—
1712	C₂×C₄	—	10	1	no	—
1713	C₂×C₄	—	10	1	no	—
1714	C₂×C₄	—	10	1	no	—
1715	C₂×C₄	—	10	1	no	—
1716	C₂×C₄	—	10	1	no	—
1717	C₂×C₄	—	10	1	no	—
1718	C₂×C₄	—	10	1	no	—
1719	C₂×C₄	—	10	1	no	—
1720	C₂×C₄	—	10	1	no	—
1721	C₂×C₄	—	10	1	no	—
1722	C₂×C₄	—	10	1	no	—
1723	C₂×C₄	—	10	1	no	—
1724	C₂×C₄	—	10	1	no	—
1725	C₂×C₄	—	10	1	no	—
1726	C₂×C₄	—	10	1	no	—
1727	C₂×C₄	—	10	1	no	—
1728	C₂×C₄	—	10	1	no	—
1729	C₂×C₄	—	10	1	no	—
1730	C₂×C₄	—	10	1	no	—
1731	C₂×C₄	—	10	1	no	—
1732	C₂×C₄	—	10	1	no	—
1733	C₂×C₄	—	10	1	no	—
1734	C₂×C₄	—	10	1	no	—
1735	C₂×C₄	—	10	1	no	—
1736	C₂×C₄	—	10	1	no	—
1737	C₂×C₄	—	10	1	no	—
1738	C₂×C₄	—	10	1	no	—
1739	C₂×C₄	—	10	1	no	—
1740	C₂×C₄	—	10	1	no	—
1741	C₂×C₄	—	10	1	no	—
1742	C₂×C₄	—	10	1	no	—
1743	C₂×C₄	—	20	1	no	—
1744	C₂×C₄	—	20	1	no	—
1745	C₂×C₄	—	20	1	no	—
1746	C₂×C₄	—	40	2	no	—
1747	C₂×C₄	—	40	2	no	—
1748	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1749	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1750	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1751	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1752	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1753	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1754	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1755	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1756	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1757	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1758	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1759	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1760	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1761	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1762	C₅	#34455	1	1	yes	characteristic, complemented, Sylow
1763	C₂²	—	2	1	no	—
1764	C₂²	—	2	1	no	—
1765	C₂²	—	2	1	no	—
1766	C₂²	—	5	1	no	—
1767	C₂²	—	5	1	no	—
1768	C₂²	—	5	1	no	—
1769	C₂²	—	5	1	no	—
1770	C₂²	—	5	1	no	—
1771	C₂²	—	5	1	no	—
1772	C₂²	—	10	1	no	—
1773	C₂²	—	10	1	no	—
1774	C₂²	—	10	1	no	—
1775	C₂²	—	20	1	no	—
1776	C₂²	—	20	1	no	—
1777	C₂²	—	20	1	no	—
1778	C₂²	—	20	1	no	—
1779	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
1780	C₄	—	2	1	no	—
1781	C₄	—	2	1	no	—
1782	C₄	—	2	1	no	—
1783	C₄	—	2	1	no	—
1784	C₄	—	2	1	no	—
1785	C₄	—	2	1	no	—
1786	C₄	—	2	1	no	—
1787	C₄	—	2	1	no	—
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	2	1	no	—
1794	C₄	—	10	2	no	—
1795	C₄	—	10	2	no	—
1796	C₄	—	10	1	no	—
1797	C₄	—	10	1	no	—
1798	C₄	—	10	1	no	—
1799	C₄	—	10	1	no	—
1800	C₄	—	10	1	no	—
1801	C₄	—	10	1	no	—
1802	C₄	—	10	1	no	—
1803	C₄	—	10	1	no	—
1804	C₄	—	10	1	no	—
1805	C₄	—	10	1	no	—
1806	C₄	—	10	1	no	—
1807	C₄	—	10	1	no	—
1808	C₄	—	10	1	no	—
1809	C₄	—	10	1	no	—
1810	C₄	—	20	1	no	—
1811	C₄	—	20	1	no	—
1812	C₄	—	20	1	no	—
1813	C₄	—	20	1	no	—
1814	C₄	—	20	1	no	—
1815	C₄	—	20	1	no	—
1816	C₄	—	20	1	no	—
1817	C₄	—	20	1	no	—
1818	C₄	—	20	1	no	—
1819	C₄	—	20	1	no	—
1820	C₄	—	20	1	no	—
1821	C₄	—	20	1	no	—
1822	C₄	—	20	1	no	—
1823	C₄	—	20	1	no	—
1824	C₂	—	4	1	no	—
1825	C₂	—	5	1	no	—
1826	C₂	—	5	1	no	—
1827	C₂	—	5	1	no	—
1828	C₂	—	5	1	no	—
1829	C₂	—	20	1	no	—
1830	C₂	#10619412	1	1	yes	characteristic
1831	C₂	AGL(1,𝔽₅)×2₋¹⁺⁴	1	1	yes	characteristic
1832	C₂	AGL(1,𝔽₅)×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×AGL(1,𝔽₅)
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#541	C₄
prime radical	C₂³×D₅	C₂⁴
cosocle	C₂²×D₅	C₂⁵
hypercenter	#541	AGL(1,𝔽₅)
hypocenter	C₅	#34455
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #541

Complements

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

N	H ≅ G/N	type
2. #10617387	C₂	semidirect
3. #10617387	C₂	semidirect
12. #10617348	C₂	semidirect
13. #10617348	C₂	semidirect
14. #10617347	C₂	semidirect
15. #10617347	C₂	semidirect
16. #10617346	C₂	semidirect
17. #10617346	C₂	semidirect
18. #10617345	C₂	semidirect
19. #10617345	C₂	semidirect
20. #10617344	C₂	semidirect
21. AGL(1,𝔽₅)×#125	C₂	semidirect
26. #10617214	C₂	semidirect
27. #10617213	C₂	semidirect
28. #10617210	C₂	semidirect
29. #10617209	C₂	semidirect
32. C₅×#541	C₄	semidirect
33. #66065	C₄	semidirect
39. #66035	C₄	semidirect
40. #66035	C₄	semidirect
41. #66035	C₄	semidirect
42. #66035	C₄	semidirect
43. #66031	C₄	semidirect
44. #66030	C₄	semidirect
45. #66030	C₄	semidirect
46. #66030	C₄	semidirect
47. #66030	C₄	semidirect
55. #65959	C₄	semidirect
56. #65959	C₄	semidirect
57. #65917	C₄	semidirect
58. #65917	C₄	semidirect
62. #65852	C₄	semidirect
267. C₅×C₄⋊Q₈	C₂×C₄	semidirect
272. C₅×#125	C₂×C₄	semidirect
273. C₅×#125	C₂×C₄	semidirect
274. C₅×#125	C₂×C₄	semidirect
275. C₅×#125	C₂×C₄	semidirect
276. C₅×#125	C₂×C₄	semidirect
279. C₄×C₅×Q₈	C₂×C₄	semidirect
280. C₄×C₅×Q₈	C₂×C₄	semidirect
284. Q₈×Dic₅	C₂×C₄	semidirect
285. Q₈×Dic₅	C₂×C₄	semidirect
286. #4090	C₂×C₄	semidirect
287. #4090	C₂×C₄	semidirect
331. #4036	C₂×C₄	semidirect
332. #4036	C₂×C₄	semidirect
333. #4036	C₂×C₄	semidirect
334. #4036	C₂×C₄	semidirect
335. #4036	C₂×C₄	semidirect
336. #4036	C₂×C₄	semidirect
337. #4036	C₂×C₄	semidirect
338. #4036	C₂×C₄	semidirect
339. #4036	C₂×C₄	semidirect
340. #4036	C₂×C₄	semidirect
341. #4035	C₂×C₄	semidirect
342. #4035	C₂×C₄	semidirect
343. #4035	C₂×C₄	semidirect
344. #4035	C₂×C₄	semidirect
345. #4035	C₂×C₄	semidirect
346. #4035	C₂×C₄	semidirect
347. #4035	C₂×C₄	semidirect
348. #4035	C₂×C₄	semidirect
349. #4035	C₂×C₄	semidirect
350. #4035	C₂×C₄	semidirect
351. #4035	C₂×C₄	semidirect
352. #4035	C₂×C₄	semidirect
353. #4035	C₂×C₄	semidirect
354. #4035	C₂×C₄	semidirect
355. #4035	C₂×C₄	semidirect
356. #4035	C₂×C₄	semidirect
357. #4035	C₂×C₄	semidirect
358. #4035	C₂×C₄	semidirect
359. #4035	C₂×C₄	semidirect
360. #4035	C₂×C₄	semidirect
361. #4034	C₂×C₄	semidirect
362. #4034	C₂×C₄	semidirect
363. #4034	C₂×C₄	semidirect
364. #4034	C₂×C₄	semidirect
365. #4033	C₂×C₄	semidirect
366. #4033	C₂×C₄	semidirect
367. #4033	C₂×C₄	semidirect
368. #4033	C₂×C₄	semidirect
369. #4033	C₂×C₄	semidirect
370. #4033	C₂×C₄	semidirect
407. #4016	C₂×C₄	semidirect
408. #4016	C₂×C₄	semidirect
409. #4016	C₂×C₄	semidirect
410. #4016	C₂×C₄	semidirect
411. #4016	C₂×C₄	semidirect
412. #4015	C₂×C₄	semidirect
413. C₄×Dic₁₀	C₂×C₄	semidirect
414. C₄×Dic₁₀	C₂×C₄	semidirect
415. C₄×Dic₁₀	C₂×C₄	semidirect
416. C₄×Dic₁₀	C₂×C₄	semidirect
417. C₄×Dic₁₀	C₂×C₄	semidirect
418. C₄×Dic₁₀	C₂×C₄	semidirect
766. #541	AGL(1,𝔽₅)	semidirect
1061. C₄⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1129. #125	C₂×AGL(1,𝔽₅)	semidirect
1130. #125	C₂×AGL(1,𝔽₅)	semidirect
1131. #125	C₂×AGL(1,𝔽₅)	semidirect
1132. #125	C₂×AGL(1,𝔽₅)	semidirect
1133. #125	C₂×AGL(1,𝔽₅)	semidirect
1164. C₄×Q₈	C₂×AGL(1,𝔽₅)	semidirect
1165. C₄×Q₈	C₂×AGL(1,𝔽₅)	semidirect
1762. C₅	#34455	semidirect

Maximal subgroups

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

subgroup	index
D₅×#541	2
#10617387	2
#10617360	2
#10617359	2
#10617358	2
AGL(1,𝔽₅)×#126	2
#10617348	2
#10617347	2
#10617346	2
#10617345	2
#10617344	2
AGL(1,𝔽₅)×#125	2
#10617288	2
#10617287	2
#10617284	2
#10617283	2
#10617214	2
#10617213	2
#10617210	2
#10617209	2
#10617133	2
#10617132	2
#34455	5