Subgroups — #13044292

Order 1280.

2074 conjugacy classes of subgroups.

The subgroup lattice has 2010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#539	C₂	1	1	yes	maximal, characteristic
2	#10617359	C₂	1	1	yes	maximal, characteristic, complemented
3	#10617359	C₂	1	1	yes	maximal, characteristic, complemented
4	#10617358	C₂	1	1	yes	maximal, characteristic, complemented
5	#10617358	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617348	C₂	1	1	yes	maximal, characteristic, complemented
7	#10617347	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617346	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617346	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617308	C₂	1	1	yes	maximal, characteristic, complemented
11	#10617307	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
13	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617304	C₂	1	1	yes	maximal, characteristic, complemented
17	AGL(1,𝔽₅)×#123	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617288	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617288	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617286	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617285	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617284	C₂	1	1	yes	maximal, characteristic, complemented
23	AGL(1,𝔽₅)×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	#10617252	C₂	1	1	yes	maximal, characteristic
25	#10617250	C₂	1	1	yes	maximal, characteristic
26	#10617182	C₂	1	1	yes	maximal, characteristic, complemented
27	#10617179	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617176	C₂	1	1	yes	maximal, characteristic, complemented
29	#10617173	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617104	C₂	1	1	yes	maximal, characteristic, complemented
31	#10617103	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×Q₈×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
33	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
34	C₂×#4130	C₂²	1	1	yes	characteristic
35	C₂×#4130	C₂²	1	1	yes	characteristic
36	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
37	C₂²×C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
38	C₅×#539	C₄	1	1	yes	characteristic, complemented
39	#66041	C₄	1	1	yes	characteristic, complemented
40	#66041	C₄	1	1	yes	characteristic, complemented
41	D₅×#126	C₂²	1	1	yes	characteristic
42	D₅×#126	C₂²	1	1	yes	characteristic
43	#66026	C₄	1	1	yes	characteristic, complemented
44	#66026	C₄	1	1	yes	characteristic, complemented
45	D₅×#125	C₂²	1	1	yes	characteristic
46	D₅×#125	C₂²	1	1	yes	characteristic
47	#65999	C₄	1	1	yes	characteristic, complemented
48	#65999	C₄	1	1	yes	characteristic, complemented
49	#65994	C₄	1	1	yes	characteristic, complemented
50	#65994	C₄	1	1	yes	characteristic, complemented
51	D₅×#123	C₂²	1	1	yes	characteristic
52	D₅×#123	C₂²	1	1	yes	characteristic
53	D₅×#123	C₂²	1	1	yes	characteristic
54	D₅×#123	C₂²	1	1	yes	characteristic
55	#65979	C₄	1	1	yes	characteristic, complemented
56	#65972	C₄	1	1	yes	characteristic, complemented
57	#65972	C₄	1	1	yes	characteristic, complemented
58	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	D₅×#121	C₂²	1	1	yes	characteristic
62	#65936	C₄	1	1	yes	characteristic, complemented
63	#65898	C₄	1	1	yes	characteristic, complemented
64	#65898	C₄	1	1	yes	characteristic, complemented
65	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
66	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
67	#65849	C₄	1	1	yes	characteristic, complemented
68	C₂×D₅×C₄⋊C₄	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	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
72	#65780	C₂²	1	1	yes	characteristic
73	#65780	C₂²	1	1	yes	characteristic
74	#65780	C₂²	1	1	yes	characteristic
75	#65780	C₂²	1	1	yes	characteristic
76	#65780	C₂²	1	1	yes	characteristic
77	#65779	C₂²	1	1	yes	characteristic
78	#65779	C₂²	1	1	yes	characteristic
79	#65779	C₂²	1	1	yes	characteristic
80	#65779	C₂²	1	1	yes	characteristic
81	#65779	C₂²	1	1	yes	characteristic
82	#65779	C₂²	1	1	yes	characteristic
83	#65765	C₂²	1	1	yes	characteristic
84	#65765	C₂²	1	1	yes	characteristic
85	#65765	C₂²	1	1	yes	characteristic
86	#65765	C₂²	1	1	yes	characteristic
87	#65765	C₂²	1	1	yes	characteristic
88	#65765	C₂²	1	1	yes	characteristic
89	#65764	C₂²	1	1	yes	characteristic
90	#65764	C₂²	1	1	yes	characteristic
91	#65764	C₂²	1	1	yes	characteristic
92	#65764	C₂²	1	1	yes	characteristic
93	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
94	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
95	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
96	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
97	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
98	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
99	#65712	C₂²	1	1	yes	characteristic
100	#65712	C₂²	1	1	yes	characteristic
101	#65712	C₂²	1	1	yes	characteristic
102	#65712	C₂²	1	1	yes	characteristic
103	#65712	C₂²	1	1	yes	characteristic
104	#65712	C₂²	1	1	yes	characteristic
105	#65712	C₂²	1	1	yes	characteristic
106	#65712	C₂²	1	1	yes	characteristic
107	#65712	C₂²	1	1	yes	characteristic
108	#65712	C₂²	1	1	yes	characteristic
109	#65712	C₂²	1	1	yes	characteristic
110	#65712	C₂²	1	1	yes	characteristic
111	#65712	C₂²	1	1	yes	characteristic
112	#65712	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	#65711	C₂²	1	1	yes	characteristic
138	#65711	C₂²	1	1	yes	characteristic
139	#65711	C₂²	1	1	yes	characteristic
140	#65711	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	#65700	C₂²	1	1	yes	characteristic
168	#65700	C₂²	1	1	yes	characteristic
169	#65700	C₂²	1	1	yes	characteristic
170	#65700	C₂²	1	1	yes	characteristic
171	#65700	C₂²	1	1	yes	characteristic
172	#65700	C₂²	1	1	yes	characteristic
173	#65700	C₂²	1	1	yes	characteristic
174	#65700	C₂²	1	1	yes	characteristic
175	#65700	C₂²	1	1	yes	characteristic
176	#65700	C₂²	1	1	yes	characteristic
177	#65700	C₂²	1	1	yes	characteristic
178	#65700	C₂²	1	1	yes	characteristic
179	#65699	C₂²	1	1	yes	characteristic
180	#65699	C₂²	1	1	yes	characteristic
181	#65699	C₂²	1	1	yes	characteristic
182	#65699	C₂²	1	1	yes	characteristic
183	#65699	C₂²	1	1	yes	characteristic
184	#65699	C₂²	1	1	yes	characteristic
185	#65699	C₂²	1	1	yes	characteristic
186	#65699	C₂²	1	1	yes	characteristic
187	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
188	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
189	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
190	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
191	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
192	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
193	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
194	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
195	#65689	C₂²	1	1	yes	characteristic
196	#65689	C₂²	1	1	yes	characteristic
197	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
198	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
199	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
200	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
201	#65686	C₂²	1	1	yes	characteristic
202	#65686	C₂²	1	1	yes	characteristic
203	#34449	—	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	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
207	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
237	Q₈×AGL(1,𝔽₅)	—	4	2	no	—
238	D₄×AGL(1,𝔽₅)	—	4	2	no	—
239	#4130	—	4	2	no	—
240	#4130	—	4	2	no	—
241	C₂×C₄⋊AGL(1,𝔽₅)	—	4	2	no	—
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)	—	4	2	no	—
267	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
268	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
269	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
270	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
271	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
272	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
273	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
274	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
275	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
276	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
277	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
278	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
279	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
280	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
281	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
282	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
283	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
284	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
285	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
286	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
287	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
288	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
289	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
290	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
291	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
292	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
293	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
294	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
295	C₅×#123	C₂×C₄	1	1	yes	characteristic
296	C₅×#123	C₂×C₄	1	1	yes	characteristic
297	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
298	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
299	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
300	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
301	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
302	C₅×#121	C₂×C₄	1	1	yes	characteristic
303	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
304	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
305	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
306	#4092	C₂×C₄	1	1	yes	characteristic, complemented
307	#4092	C₂×C₄	1	1	yes	characteristic, complemented
308	#4092	C₂×C₄	1	1	yes	characteristic, complemented
309	#4085	C₂×C₄	1	1	yes	characteristic
310	#4085	C₂×C₄	1	1	yes	characteristic
311	#4084	C₂×C₄	1	1	yes	characteristic
312	#4081	C₂×C₄	1	1	yes	characteristic
313	#4081	C₂×C₄	1	1	yes	characteristic
314	#4081	C₂×C₄	1	1	yes	characteristic, complemented
315	#4081	C₂×C₄	1	1	yes	characteristic, complemented
316	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
317	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
318	#4076	C₂×C₄	1	1	yes	characteristic
319	#4075	C₂×C₄	1	1	yes	characteristic
320	#4075	C₂×C₄	1	1	yes	characteristic
321	#4075	C₂×C₄	1	1	yes	characteristic, complemented
322	#4075	C₂×C₄	1	1	yes	characteristic, complemented
323	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
324	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
325	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
326	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
327	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
328	#4070	C₂×C₄	1	1	yes	characteristic, complemented
329	#4070	C₂×C₄	1	1	yes	characteristic, complemented
330	#4070	C₂×C₄	1	1	yes	characteristic, complemented
331	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
332	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
333	#4044	C₂×C₄	1	1	yes	characteristic, complemented
334	#4044	C₂×C₄	1	1	yes	characteristic, complemented
335	#4044	C₂×C₄	1	1	yes	characteristic, complemented
336	#4044	C₂×C₄	1	1	yes	characteristic, complemented
337	#4044	C₂×C₄	1	1	yes	characteristic, complemented
338	#4044	C₂×C₄	1	1	yes	characteristic, complemented
339	#4043	C₂×C₄	1	1	yes	characteristic, complemented
340	#4043	C₂×C₄	1	1	yes	characteristic, complemented
341	#4043	C₂×C₄	1	1	yes	characteristic, complemented
342	#4042	C₂×C₄	1	1	yes	characteristic, complemented
343	#4042	C₂×C₄	1	1	yes	characteristic, complemented
344	#4042	C₂×C₄	1	1	yes	characteristic, complemented
345	#4042	C₂×C₄	1	1	yes	characteristic, complemented
346	#4042	C₂×C₄	1	1	yes	characteristic, complemented
347	#4042	C₂×C₄	1	1	yes	characteristic, complemented
348	#4041	C₂×C₄	1	1	yes	characteristic
349	#4040	C₂×C₄	1	1	yes	characteristic
350	#4040	C₂×C₄	1	1	yes	characteristic
351	#4040	C₂×C₄	1	1	yes	characteristic
352	#4040	C₂×C₄	1	1	yes	characteristic
353	#4040	C₂×C₄	1	1	yes	characteristic, complemented
354	#4040	C₂×C₄	1	1	yes	characteristic, complemented
355	#4040	C₂×C₄	1	1	yes	characteristic, complemented
356	#4040	C₂×C₄	1	1	yes	characteristic, complemented
357	#4039	C₂×C₄	1	1	yes	characteristic, complemented
358	#4039	C₂×C₄	1	1	yes	characteristic, complemented
359	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
360	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
361	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
362	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
363	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
364	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
366	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
367	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
368	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
369	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
370	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
371	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
372	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
373	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
374	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
375	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
376	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
377	#4036	C₂×C₄	1	1	yes	characteristic, complemented
378	#4036	C₂×C₄	1	1	yes	characteristic, complemented
379	#4036	C₂×C₄	1	1	yes	characteristic, complemented
380	#4036	C₂×C₄	1	1	yes	characteristic, complemented
381	#4035	C₂×C₄	1	1	yes	characteristic, complemented
382	#4035	C₂×C₄	1	1	yes	characteristic, complemented
383	#4035	C₂×C₄	1	1	yes	characteristic, complemented
384	#4035	C₂×C₄	1	1	yes	characteristic, complemented
385	#4035	C₂×C₄	1	1	yes	characteristic, complemented
386	#4035	C₂×C₄	1	1	yes	characteristic, complemented
387	#4035	C₂×C₄	1	1	yes	characteristic, complemented
388	#4035	C₂×C₄	1	1	yes	characteristic, complemented
389	#4032	C₂×C₄	1	1	yes	characteristic
390	#4032	C₂×C₄	1	1	yes	characteristic
391	#4032	C₂×C₄	1	1	yes	characteristic, complemented
392	#4032	C₂×C₄	1	1	yes	characteristic, complemented
393	#4030	C₂×C₄	1	1	yes	characteristic
394	#4030	C₂×C₄	1	1	yes	characteristic
395	#4029	C₂×C₄	1	1	yes	characteristic
396	#4029	C₂×C₄	1	1	yes	characteristic
397	#4029	C₂×C₄	1	1	yes	characteristic
398	#4029	C₂×C₄	1	1	yes	characteristic
399	#4029	C₂×C₄	1	1	yes	characteristic, complemented
400	#4029	C₂×C₄	1	1	yes	characteristic, complemented
401	#4029	C₂×C₄	1	1	yes	characteristic, complemented
402	#4029	C₂×C₄	1	1	yes	characteristic, complemented
403	#4027	C₂×C₄	1	1	yes	characteristic, complemented
404	#4027	C₂×C₄	1	1	yes	characteristic, complemented
405	#4027	C₂×C₄	1	1	yes	characteristic, complemented
406	#4027	C₂×C₄	1	1	yes	characteristic, complemented
407	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
408	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
409	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
410	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
411	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
412	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
413	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
414	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
415	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
416	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
417	#4025	C₂×C₄	1	1	yes	characteristic, complemented
418	#4025	C₂×C₄	1	1	yes	characteristic, complemented
419	#4025	C₂×C₄	1	1	yes	characteristic, complemented
420	#4025	C₂×C₄	1	1	yes	characteristic, complemented
421	#4025	C₂×C₄	1	1	yes	characteristic, complemented
422	#4025	C₂×C₄	1	1	yes	characteristic, complemented
423	#4024	C₂×C₄	1	1	yes	characteristic, complemented
424	#4024	C₂×C₄	1	1	yes	characteristic, complemented
425	#4024	C₂×C₄	1	1	yes	characteristic, complemented
426	#4024	C₂×C₄	1	1	yes	characteristic, complemented
427	#4024	C₂×C₄	1	1	yes	characteristic, complemented
428	#4024	C₂×C₄	1	1	yes	characteristic, complemented
429	#4022	C₂×C₄	1	1	yes	characteristic, complemented
430	#4022	C₂×C₄	1	1	yes	characteristic, complemented
431	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
432	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
433	C₄²×D₅	C₂³	1	1	yes	characteristic
434	C₄²×D₅	C₂³	1	1	yes	characteristic
435	#4016	C₂×C₄	1	1	yes	characteristic, complemented
436	#4016	C₂×C₄	1	1	yes	characteristic, complemented
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×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
480	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
481	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
482	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
483	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
484	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
485	C₂×#539	—	5	1	no	—
486	#2382	—	5	1	no	—
487	#2378	—	5	1	no	—
488	#2378	—	5	1	no	—
489	#2376	—	5	1	no	—
490	#2374	—	5	1	no	—
491	#2373	—	5	1	no	—
492	#2373	—	5	1	no	—
493	#2371	—	5	1	no	—
494	#2370	—	5	1	no	—
495	#2370	—	5	1	no	—
496	#2362	—	5	1	no	—
497	#2360	—	5	1	no	—
498	#2357	—	5	1	no	—
499	#2352	—	5	1	no	—
500	#2345	—	5	1	no	—
501	#2344	—	5	1	no	—
502	#2335	—	5	1	no	—
503	#2335	—	5	1	no	—
504	#2335	—	5	1	no	—
505	#2335	—	5	1	no	—
506	#2334	—	5	1	no	—
507	#2334	—	5	1	no	—
508	#2333	—	5	1	no	—
509	#2332	—	5	1	no	—
510	#2324	—	5	1	no	—
511	#2322	—	5	1	no	—
512	#2319	—	5	1	no	—
513	C₄×C₂²⋊Q₈	—	5	1	no	—
514	C₄×#123	—	5	1	no	—
515	#2290	—	5	1	no	—
516	C₂³×D₅	C₂⁴	1	1	yes	characteristic
517	C₂³×D₅	C₂⁴	1	1	yes	characteristic
518	C₂³×D₅	C₂⁴	1	1	yes	characteristic
519	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
520	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
521	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
522	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
523	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
524	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
525	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
526	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
527	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
528	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
529	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
530	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
531	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
532	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
533	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
534	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
535	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
536	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
537	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
538	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
539	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
540	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
541	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
542	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
543	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
544	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
545	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
546	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
547	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
551	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
552	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
553	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
554	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
555	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
562	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
563	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
564	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
565	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
566	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
567	Q₈×D₅	—	4	1	no	—
568	Q₈×D₅	—	4	1	no	—
569	D₄×D₅	—	4	1	no	—
570	D₄×D₅	—	4	1	no	—
571	D₄×D₅	—	4	1	no	—
572	D₄×D₅	—	4	1	no	—
573	D₄×D₅	—	4	1	no	—
574	D₄×D₅	—	4	1	no	—
575	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
576	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
577	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₄×D₅	—	4	1	no	—
579	C₂×C₄×D₅	—	4	1	no	—
580	C₂×C₄×D₅	—	4	1	no	—
581	C₂×C₄×D₅	—	4	1	no	—
582	C₂×C₄×D₅	—	4	1	no	—
583	C₂×C₄×D₅	—	4	1	no	—
584	C₂×C₄×D₅	—	4	1	no	—
585	C₂×C₄×D₅	—	4	1	no	—
586	C₂×C₄×D₅	—	4	1	no	—
587	C₂×C₄×D₅	—	4	1	no	—
588	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
610	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
611	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
612	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
613	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
614	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
615	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
616	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
617	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
618	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
619	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
620	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
621	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
622	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
623	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
624	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
625	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
626	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
627	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
628	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
629	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
630	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
631	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
632	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
633	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
634	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
635	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
636	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
637	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
638	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
639	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
640	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
641	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
642	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
643	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
644	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
645	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
646	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
647	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
648	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
649	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
650	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
651	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
652	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
653	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
654	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
655	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
656	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
657	C₄×AGL(1,𝔽₅)	—	2	2	no	—
658	C₄×AGL(1,𝔽₅)	—	2	2	no	—
659	C₄×AGL(1,𝔽₅)	—	2	2	no	—
660	C₄×AGL(1,𝔽₅)	—	4	1	no	—
661	C₄×AGL(1,𝔽₅)	—	4	1	no	—
662	C₄×AGL(1,𝔽₅)	—	4	1	no	—
663	C₄×AGL(1,𝔽₅)	—	4	1	no	—
664	C₄×AGL(1,𝔽₅)	—	4	1	no	—
665	C₄×AGL(1,𝔽₅)	—	4	1	no	—
666	C₄×AGL(1,𝔽₅)	—	4	1	no	—
667	C₄×AGL(1,𝔽₅)	—	4	1	no	—
668	C₄×AGL(1,𝔽₅)	—	4	1	no	—
669	C₄×AGL(1,𝔽₅)	—	4	1	no	—
670	C₄×AGL(1,𝔽₅)	—	4	1	no	—
671	C₄×AGL(1,𝔽₅)	—	4	1	no	—
672	C₄×AGL(1,𝔽₅)	—	4	1	no	—
673	C₄×AGL(1,𝔽₅)	—	4	1	no	—
674	C₄×AGL(1,𝔽₅)	—	4	1	no	—
675	C₄×AGL(1,𝔽₅)	—	4	1	no	—
676	C₄×AGL(1,𝔽₅)	—	4	1	no	—
677	C₄×AGL(1,𝔽₅)	—	4	1	no	—
678	C₄×AGL(1,𝔽₅)	—	4	1	no	—
679	C₄×AGL(1,𝔽₅)	—	4	1	no	—
680	C₄×AGL(1,𝔽₅)	—	4	1	no	—
681	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
706	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
707	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
708	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
709	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
710	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
711	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
712	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
713	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
714	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
715	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
716	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
717	#685	C₂²×C₄	1	1	yes	characteristic
718	#685	C₂²×C₄	1	1	yes	characteristic
719	#685	C₂²×C₄	1	1	yes	characteristic
720	#685	C₂²×C₄	1	1	yes	characteristic
721	#685	C₂²×C₄	1	1	yes	characteristic
722	#685	C₂²×C₄	1	1	yes	characteristic
723	#685	C₂²×C₄	1	1	yes	characteristic
724	#685	C₂²×C₄	1	1	yes	characteristic
725	#685	C₂²×C₄	1	1	yes	characteristic
726	#685	C₂²×C₄	1	1	yes	characteristic
727	#685	C₂²×C₄	1	1	yes	characteristic
728	#685	C₂²×C₄	1	1	yes	characteristic
729	#685	C₂²×C₄	1	1	yes	characteristic
730	#685	C₂²×C₄	1	1	yes	characteristic
731	#685	C₂²×C₄	1	1	yes	characteristic
732	#685	C₂²×C₄	1	1	yes	characteristic
733	#685	C₂²×C₄	1	1	yes	characteristic
734	#685	C₂²×C₄	1	1	yes	characteristic
735	#685	C₂²×C₄	1	1	yes	characteristic
736	#685	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	#683	C₂²×C₄	1	1	yes	characteristic
752	#683	C₂²×C₄	1	1	yes	characteristic
753	#683	C₂²×C₄	1	1	yes	characteristic
754	#683	C₂²×C₄	1	1	yes	characteristic
755	#683	C₂²×C₄	1	1	yes	characteristic
756	#683	C₂²×C₄	1	1	yes	characteristic
757	#683	C₂²×C₄	1	1	yes	characteristic
758	#683	C₂²×C₄	1	1	yes	characteristic
759	#683	C₂²×C₄	1	1	yes	characteristic
760	#683	C₂²×C₄	1	1	yes	characteristic
761	#683	C₂²×C₄	1	1	yes	characteristic
762	#683	C₂²×C₄	1	1	yes	characteristic
763	#683	C₂²×C₄	1	1	yes	characteristic
764	#683	C₂²×C₄	1	1	yes	characteristic
765	#683	C₂²×C₄	1	1	yes	characteristic
766	#683	C₂²×C₄	1	1	yes	characteristic
767	#683	C₂²×C₄	1	1	yes	characteristic
768	#683	C₂²×C₄	1	1	yes	characteristic
769	#683	C₂²×C₄	1	1	yes	characteristic
770	#683	C₂²×C₄	1	1	yes	characteristic
771	#683	C₂²×C₄	1	1	yes	characteristic
772	#683	C₂²×C₄	1	1	yes	characteristic
773	#683	C₂²×C₄	1	1	yes	characteristic
774	#683	C₂²×C₄	1	1	yes	characteristic
775	#683	C₂²×C₄	1	1	yes	characteristic
776	#683	C₂²×C₄	1	1	yes	characteristic
777	#683	C₂²×C₄	1	1	yes	characteristic
778	#683	C₂²×C₄	1	1	yes	characteristic
779	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
780	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
781	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
782	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
783	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
784	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
785	#539	—	5	1	no	—
786	#539	—	5	1	no	—
787	#539	—	5	1	no	—
788	#539	—	5	1	no	—
789	#539	—	5	1	no	—
790	#539	—	5	1	no	—
791	#539	—	5	1	no	—
792	#539	—	5	1	no	—
793	#539	—	5	1	no	—
794	#539	—	5	1	no	—
795	#539	—	5	1	no	—
796	#539	—	5	1	no	—
797	#539	—	5	1	no	—
798	#539	—	5	1	no	—
799	#539	—	5	1	no	—
800	#539	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
801	C₂×#126	—	5	1	no	—
802	C₂×#126	—	5	1	no	—
803	C₂×#125	—	5	1	no	—
804	C₂×#125	—	5	1	no	—
805	C₂×#123	—	5	1	no	—
806	C₂×#123	—	5	1	no	—
807	C₂×#123	—	5	1	no	—
808	C₂×#123	—	5	1	no	—
809	C₂×C₂²⋊Q₈	—	5	1	no	—
810	C₂×C₂²⋊Q₈	—	5	1	no	—
811	C₂×C₂²⋊Q₈	—	5	1	no	—
812	C₂×#121	—	5	1	no	—
813	C₂×C₄×Q₈	—	5	1	no	—
814	C₂×C₄×D₄	—	5	1	no	—
815	C₂×C₄×D₄	—	5	1	no	—
816	C₂×C₄×D₄	—	5	1	no	—
817	C₂×#117	—	5	1	no	—
818	C₂×#117	—	5	1	no	—
819	C₂²×C₄⋊C₄	—	5	1	no	—
820	C₂²×C₄⋊C₄	—	5	1	no	—
821	C₂²×C₄²	—	5	1	no	—
822	#391	—	5	1	no	—
823	#391	—	5	1	no	—
824	#391	—	5	1	no	—
825	#390	—	5	1	no	—
826	#390	—	5	1	no	—
827	#390	—	5	1	no	—
828	#390	—	5	1	no	—
829	#390	—	5	1	no	—
830	#389	—	5	1	no	—
831	#389	—	5	1	no	—
832	#389	—	5	1	no	—
833	#389	—	5	1	no	—
834	#389	—	5	1	no	—
835	#389	—	5	1	no	—
836	#389	—	5	1	no	—
837	#389	—	5	1	no	—
838	#389	—	5	1	no	—
839	#389	—	5	1	no	—
840	#389	—	5	1	no	—
841	#389	—	5	1	no	—
842	#389	—	5	1	no	—
843	#389	—	5	1	no	—
844	#388	—	5	1	no	—
845	#388	—	5	1	no	—
846	#388	—	5	1	no	—
847	#388	—	5	1	no	—
848	#388	—	5	1	no	—
849	#388	—	5	1	no	—
850	#388	—	5	1	no	—
851	#388	—	5	1	no	—
852	#388	—	5	1	no	—
853	#388	—	5	1	no	—
854	#388	—	5	1	no	—
855	#388	—	5	1	no	—
856	#388	—	5	1	no	—
857	#388	—	5	1	no	—
858	#388	—	5	1	no	—
859	#388	—	5	1	no	—
860	#388	—	5	1	no	—
861	#388	—	5	1	no	—
862	#388	—	5	1	no	—
863	#388	—	5	1	no	—
864	#388	—	5	1	no	—
865	#388	—	5	1	no	—
866	#388	—	5	1	no	—
867	#388	—	5	1	no	—
868	#387	—	5	1	no	—
869	#387	—	5	1	no	—
870	#387	—	5	1	no	—
871	#387	—	5	1	no	—
872	#387	—	5	1	no	—
873	#387	—	5	1	no	—
874	#387	—	5	1	no	—
875	#387	—	5	1	no	—
876	#387	—	5	1	no	—
877	#387	—	5	1	no	—
878	#387	—	5	1	no	—
879	#387	—	5	1	no	—
880	#387	—	5	1	no	—
881	#387	—	5	1	no	—
882	#387	—	5	1	no	—
883	#387	—	5	1	no	—
884	#387	—	5	1	no	—
885	#387	—	5	1	no	—
886	#387	—	5	1	no	—
887	#387	—	5	1	no	—
888	#387	—	5	1	no	—
889	#387	—	5	1	no	—
890	#387	—	5	1	no	—
891	#387	—	5	1	no	—
892	#387	—	5	1	no	—
893	#387	—	5	1	no	—
894	#387	—	5	1	no	—
895	#387	—	5	1	no	—
896	#386	—	5	1	no	—
897	#386	—	5	1	no	—
898	#386	—	5	1	no	—
899	#386	—	5	1	no	—
900	#386	—	5	1	no	—
901	#386	—	5	1	no	—
902	#385	—	5	1	no	—
903	#385	—	5	1	no	—
904	#385	—	5	1	no	—
905	#385	—	5	1	no	—
906	#385	—	5	1	no	—
907	#385	—	5	1	no	—
908	#385	—	5	1	no	—
909	#385	—	5	1	no	—
910	#382	—	5	1	no	—
911	#382	—	5	1	no	—
912	#381	—	5	1	no	—
913	#381	—	5	1	no	—
914	#381	—	5	1	no	—
915	#381	—	5	1	no	—
916	#380	—	5	1	no	—
917	#380	—	5	1	no	—
918	#380	—	5	1	no	—
919	#380	—	5	1	no	—
920	#380	—	5	1	no	—
921	#380	—	5	1	no	—
922	C₄×C₄⋊C₄	—	5	1	no	—
923	C₄×C₄⋊C₄	—	5	1	no	—
924	C₄×C₄⋊C₄	—	5	1	no	—
925	C₄×C₄⋊C₄	—	5	1	no	—
926	C₄×C₄⋊C₄	—	5	1	no	—
927	C₄×C₄⋊C₄	—	5	1	no	—
928	C₄×C₄⋊C₄	—	5	1	no	—
929	C₄×C₄⋊C₄	—	5	1	no	—
930	C₄×C₄⋊C₄	—	5	1	no	—
931	C₄×C₄⋊C₄	—	5	1	no	—
932	C₄×C₄⋊C₄	—	5	1	no	—
933	C₄×C₄⋊C₄	—	5	1	no	—
934	C₄×C₄⋊C₄	—	5	1	no	—
935	C₄×C₄⋊C₄	—	5	1	no	—
936	C₄×C₄⋊C₄	—	5	1	no	—
937	C₄×C₄⋊C₄	—	5	1	no	—
938	C₄×C₄⋊C₄	—	5	1	no	—
939	C₄×C₄⋊C₄	—	5	1	no	—
940	C₄×C₂²⋊C₄	—	5	1	no	—
941	C₄×C₂²⋊C₄	—	5	1	no	—
942	C₄×C₂²⋊C₄	—	5	1	no	—
943	C₄×C₂²⋊C₄	—	5	1	no	—
944	C₄×C₂²⋊C₄	—	5	1	no	—
945	C₄×C₂²⋊C₄	—	5	1	no	—
946	C₄×C₂²⋊C₄	—	5	1	no	—
947	C₄×C₂²⋊C₄	—	5	1	no	—
948	C₄×C₂²⋊C₄	—	5	1	no	—
949	C₄×C₂²⋊C₄	—	5	1	no	—
950	C₄×C₂²⋊C₄	—	5	1	no	—
951	C₄×C₂²⋊C₄	—	5	1	no	—
952	C₄×C₂²⋊C₄	—	5	1	no	—
953	C₄×C₂²⋊C₄	—	5	1	no	—
954	#376	—	5	1	no	—
955	#376	—	5	1	no	—
956	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
957	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
958	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
959	C₂²×D₅	—	2	1	no	—
960	C₂²×D₅	—	2	1	no	—
961	C₂²×D₅	—	2	1	no	—
962	C₂²×D₅	—	2	1	no	—
963	C₂²×D₅	—	2	1	no	—
964	C₂²×D₅	—	2	1	no	—
965	C₂²×D₅	—	2	1	no	—
966	C₂²×D₅	—	2	1	no	—
967	C₂²×D₅	—	2	1	no	—
968	C₂²×D₅	—	2	1	no	—
969	C₂²×D₅	—	2	1	no	—
970	C₂²×D₅	—	2	1	no	—
971	C₂²×D₅	—	2	1	no	—
972	C₂²×D₅	—	2	1	no	—
973	C₂²×D₅	—	2	1	no	—
974	C₂²×D₅	—	2	1	no	—
975	C₂²×D₅	—	2	1	no	—
976	C₂²×D₅	—	2	1	no	—
977	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
978	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
979	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
980	C₂²×D₅	C₂⁵	1	1	yes	characteristic
981	C₂×AGL(1,𝔽₅)	—	2	1	no	—
982	C₂×AGL(1,𝔽₅)	—	2	1	no	—
983	C₂×AGL(1,𝔽₅)	—	2	1	no	—
984	C₂×AGL(1,𝔽₅)	—	2	1	no	—
985	C₂×AGL(1,𝔽₅)	—	2	1	no	—
986	C₂×AGL(1,𝔽₅)	—	2	1	no	—
987	C₂×AGL(1,𝔽₅)	—	2	1	no	—
988	C₂×AGL(1,𝔽₅)	—	2	1	no	—
989	C₂×AGL(1,𝔽₅)	—	2	1	no	—
990	C₂×AGL(1,𝔽₅)	—	2	1	no	—
991	C₂×AGL(1,𝔽₅)	—	2	1	no	—
992	C₂×AGL(1,𝔽₅)	—	2	1	no	—
993	C₂×AGL(1,𝔽₅)	—	2	1	no	—
994	C₂×AGL(1,𝔽₅)	—	2	1	no	—
995	C₂×AGL(1,𝔽₅)	—	2	1	no	—
996	C₂×AGL(1,𝔽₅)	—	2	1	no	—
997	C₂×AGL(1,𝔽₅)	—	2	1	no	—
998	C₂×AGL(1,𝔽₅)	—	2	1	no	—
999	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1000	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1001	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1002	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1003	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1004	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1005	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1006	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1007	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1008	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1009	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1010	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1011	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1012	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1013	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1014	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1015	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1016	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1017	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1018	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1019	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1020	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1021	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1022	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1023	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1024	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1025	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1026	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1027	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1028	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1029	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1030	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1031	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1032	C₂×AGL(1,𝔽₅)	2₋¹⁺⁴	1	2	yes	—
1033	C₅×Q₈	—	4	1	no	—
1034	C₅×D₄	—	4	1	no	—
1035	C₅×D₄	—	4	1	no	—
1036	C₅×D₄	—	4	1	no	—
1037	C₂×C₄×C₅	—	4	1	no	—
1038	C₂×C₄×C₅	—	4	1	no	—
1039	C₂×C₄×C₅	—	4	1	no	—
1040	C₂×C₄×C₅	—	4	1	no	—
1041	C₂×C₄×C₅	—	4	1	no	—
1042	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1043	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1044	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1045	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1046	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1047	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1048	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1049	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1050	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1051	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1052	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1053	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1054	C₂²⋊D₅	—	4	1	no	—
1055	C₂²⋊D₅	—	4	1	no	—
1056	C₂²⋊D₅	—	4	1	no	—
1057	C₂²⋊D₅	—	4	1	no	—
1058	C₂²⋊D₅	—	4	1	no	—
1059	C₂²⋊D₅	—	4	1	no	—
1060	C₂×Dic₅	—	4	1	no	—
1061	C₂×Dic₅	—	4	1	no	—
1062	C₂×Dic₅	—	4	1	no	—
1063	C₂×Dic₅	—	4	1	no	—
1064	C₂×Dic₅	—	4	1	no	—
1065	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1066	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1067	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1068	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1069	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1070	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1071	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1072	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1073	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1074	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1075	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1076	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1077	D₂₀	—	4	1	no	—
1078	D₂₀	—	4	1	no	—
1079	D₂₀	—	4	1	no	—
1080	C₄×D₅	—	2	1	no	—
1081	C₄×D₅	—	2	1	no	—
1082	C₄×D₅	—	2	1	no	—
1083	C₄×D₅	—	2	1	no	—
1084	C₄×D₅	—	2	1	no	—
1085	C₄×D₅	—	2	1	no	—
1086	C₄×D₅	—	2	1	no	—
1087	C₄×D₅	—	2	1	no	—
1088	C₄×D₅	—	2	1	no	—
1089	C₄×D₅	—	2	1	no	—
1090	C₄×D₅	—	2	1	no	—
1091	C₄×D₅	—	2	1	no	—
1092	C₄×D₅	—	2	1	no	—
1093	C₄×D₅	—	2	1	no	—
1094	C₄×D₅	—	2	1	no	—
1095	C₄×D₅	—	2	1	no	—
1096	C₄×D₅	—	2	1	no	—
1097	C₄×D₅	—	2	1	no	—
1098	C₄×D₅	—	2	1	no	—
1099	C₄×D₅	—	2	1	no	—
1100	C₄×D₅	—	2	1	no	—
1101	C₄×D₅	—	2	1	no	—
1102	C₄×D₅	—	2	1	no	—
1103	C₄×D₅	—	2	1	no	—
1104	C₄×D₅	—	4	1	no	—
1105	C₄×D₅	—	4	1	no	—
1106	C₄×D₅	—	4	1	no	—
1107	C₄×D₅	—	4	1	no	—
1108	C₄×D₅	—	4	1	no	—
1109	C₄×D₅	—	4	1	no	—
1110	C₄×D₅	—	4	1	no	—
1111	C₄×D₅	—	4	1	no	—
1112	C₄×D₅	—	4	1	no	—
1113	C₄×D₅	—	4	1	no	—
1114	Dic₁₀	—	4	1	no	—
1115	Dic₁₀	—	4	1	no	—
1116	Dic₁₀	—	4	1	no	—
1117	C₂²×Q₈	—	5	1	no	—
1118	C₂²×D₄	—	5	1	no	—
1119	C₂²×D₄	—	5	1	no	—
1120	C₂²×D₄	—	5	1	no	—
1121	C₂³×C₄	—	5	1	no	—
1122	C₂³×C₄	—	5	1	no	—
1123	C₂³×C₄	—	5	1	no	—
1124	C₂³×C₄	—	5	1	no	—
1125	C₂³×C₄	—	5	1	no	—
1126	C₂³×C₄	—	5	1	no	—
1127	C₂³×C₄	—	5	1	no	—
1128	C₂³×C₄	—	5	1	no	—
1129	C₂³×C₄	—	5	1	no	—
1130	#126	—	5	1	no	—
1131	#126	—	5	1	no	—
1132	#126	—	5	1	no	—
1133	#126	—	5	1	no	—
1134	#126	—	5	1	no	—
1135	#126	—	5	1	no	—
1136	#126	—	5	1	no	—
1137	#126	—	5	1	no	—
1138	#126	—	5	1	no	—
1139	#126	—	5	1	no	—
1140	#126	—	5	1	no	—
1141	#126	—	5	1	no	—
1142	#126	—	5	1	no	—
1143	#126	—	5	1	no	—
1144	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1145	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1146	#125	—	5	1	no	—
1147	#125	—	5	1	no	—
1148	#125	—	5	1	no	—
1149	#125	—	5	1	no	—
1150	#125	—	5	1	no	—
1151	#125	—	5	1	no	—
1152	#125	—	5	1	no	—
1153	#125	—	5	1	no	—
1154	#125	—	5	1	no	—
1155	#125	—	5	1	no	—
1156	#125	—	5	1	no	—
1157	#125	—	5	1	no	—
1158	#125	—	5	1	no	—
1159	#125	—	5	1	no	—
1160	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1161	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1162	#123	—	5	1	no	—
1163	#123	—	5	1	no	—
1164	#123	—	5	1	no	—
1165	#123	—	5	1	no	—
1166	#123	—	5	1	no	—
1167	#123	—	5	1	no	—
1168	#123	—	5	1	no	—
1169	#123	—	5	1	no	—
1170	#123	—	5	1	no	—
1171	#123	—	5	1	no	—
1172	#123	—	5	1	no	—
1173	#123	—	5	1	no	—
1174	#123	—	5	1	no	—
1175	#123	—	5	1	no	—
1176	#123	—	5	1	no	—
1177	#123	—	5	1	no	—
1178	#123	—	5	1	no	—
1179	#123	—	5	1	no	—
1180	#123	—	5	1	no	—
1181	#123	—	5	1	no	—
1182	#123	—	5	1	no	—
1183	#123	—	5	1	no	—
1184	#123	—	5	1	no	—
1185	#123	—	5	1	no	—
1186	#123	—	5	1	no	—
1187	#123	—	5	1	no	—
1188	#123	—	5	1	no	—
1189	#123	—	5	1	no	—
1190	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1191	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1192	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1193	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1194	C₂²⋊Q₈	—	5	1	no	—
1195	C₂²⋊Q₈	—	5	1	no	—
1196	C₂²⋊Q₈	—	5	1	no	—
1197	C₂²⋊Q₈	—	5	1	no	—
1198	C₂²⋊Q₈	—	5	1	no	—
1199	C₂²⋊Q₈	—	5	1	no	—
1200	C₂²⋊Q₈	—	5	1	no	—
1201	C₂²⋊Q₈	—	5	1	no	—
1202	C₂²⋊Q₈	—	5	1	no	—
1203	C₂²⋊Q₈	—	5	1	no	—
1204	C₂²⋊Q₈	—	5	1	no	—
1205	C₂²⋊Q₈	—	5	1	no	—
1206	C₂²⋊Q₈	—	5	1	no	—
1207	C₂²⋊Q₈	—	5	1	no	—
1208	C₂²⋊Q₈	—	5	1	no	—
1209	C₂²⋊Q₈	—	5	1	no	—
1210	C₂²⋊Q₈	—	5	1	no	—
1211	C₂²⋊Q₈	—	5	1	no	—
1212	C₂²⋊Q₈	—	5	1	no	—
1213	C₂²⋊Q₈	—	5	1	no	—
1214	C₂²⋊Q₈	—	5	1	no	—
1215	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1216	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1217	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1218	#121	—	5	1	no	—
1219	#121	—	5	1	no	—
1220	#121	—	5	1	no	—
1221	#121	—	5	1	no	—
1222	#121	—	5	1	no	—
1223	#121	—	5	1	no	—
1224	#121	—	5	1	no	—
1225	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1226	C₄×Q₈	—	20	2	no	—
1227	C₄×D₄	—	5	1	no	—
1228	C₄×D₄	—	5	1	no	—
1229	C₄×D₄	—	5	1	no	—
1230	C₄×D₄	—	5	1	no	—
1231	C₄×D₄	—	5	1	no	—
1232	C₄×D₄	—	5	1	no	—
1233	C₄×D₄	—	5	1	no	—
1234	C₄×D₄	—	5	1	no	—
1235	C₄×D₄	—	5	1	no	—
1236	C₄×D₄	—	5	1	no	—
1237	C₄×D₄	—	5	1	no	—
1238	C₄×D₄	—	5	1	no	—
1239	C₄×D₄	—	5	1	no	—
1240	C₄×D₄	—	5	1	no	—
1241	C₄×D₄	—	20	2	no	—
1242	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1243	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1244	#117	—	20	2	no	—
1245	#117	—	20	2	no	—
1246	C₂×C₄⋊C₄	—	5	1	no	—
1247	C₂×C₄⋊C₄	—	5	1	no	—
1248	C₂×C₄⋊C₄	—	5	1	no	—
1249	C₂×C₄⋊C₄	—	5	1	no	—
1250	C₂×C₄⋊C₄	—	5	1	no	—
1251	C₂×C₄⋊C₄	—	5	1	no	—
1252	C₂×C₄⋊C₄	—	5	1	no	—
1253	C₂×C₄⋊C₄	—	5	1	no	—
1254	C₂×C₄⋊C₄	—	5	1	no	—
1255	C₂×C₄⋊C₄	—	5	1	no	—
1256	C₂×C₄⋊C₄	—	5	1	no	—
1257	C₂×C₄⋊C₄	—	5	1	no	—
1258	C₂×C₄⋊C₄	—	5	1	no	—
1259	C₂×C₄⋊C₄	—	5	1	no	—
1260	C₂×C₄⋊C₄	—	5	1	no	—
1261	C₂×C₄⋊C₄	—	5	1	no	—
1262	C₂×C₄⋊C₄	—	5	1	no	—
1263	C₂×C₄⋊C₄	—	5	1	no	—
1264	C₂×C₄⋊C₄	—	5	1	no	—
1265	C₂×C₄⋊C₄	—	5	1	no	—
1266	C₂×C₄⋊C₄	—	5	1	no	—
1267	C₂×C₄⋊C₄	—	5	1	no	—
1268	C₂×C₄⋊C₄	—	5	1	no	—
1269	C₂×C₄⋊C₄	—	5	1	no	—
1270	C₂×C₄⋊C₄	—	5	1	no	—
1271	C₂×C₄⋊C₄	—	5	1	no	—
1272	C₂×C₄⋊C₄	—	5	1	no	—
1273	C₂×C₄⋊C₄	—	5	1	no	—
1274	C₂×C₄⋊C₄	—	5	1	no	—
1275	C₂×C₄⋊C₄	—	5	1	no	—
1276	C₂×C₄⋊C₄	—	5	1	no	—
1277	C₂×C₄⋊C₄	—	5	1	no	—
1278	C₂×C₄⋊C₄	—	5	1	no	—
1279	C₂×C₄⋊C₄	—	5	1	no	—
1280	C₂×C₄⋊C₄	—	5	1	no	—
1281	C₂×C₄⋊C₄	—	5	1	no	—
1282	C₂×C₄⋊C₄	—	5	1	no	—
1283	C₂×C₄⋊C₄	—	5	1	no	—
1284	C₂×C₄⋊C₄	—	5	1	no	—
1285	C₂×C₄⋊C₄	—	5	1	no	—
1286	C₂×C₄⋊C₄	—	5	1	no	—
1287	C₂×C₄⋊C₄	—	5	1	no	—
1288	C₂×C₄⋊C₄	—	5	1	no	—
1289	C₂×C₄⋊C₄	—	5	1	no	—
1290	C₂×C₄⋊C₄	—	5	1	no	—
1291	C₂×C₄⋊C₄	—	20	2	no	—
1292	C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1293	C₂×C₂²⋊C₄	—	5	1	no	—
1294	C₂×C₂²⋊C₄	—	5	1	no	—
1295	C₂×C₂²⋊C₄	—	5	1	no	—
1296	C₂×C₂²⋊C₄	—	5	1	no	—
1297	C₂×C₂²⋊C₄	—	5	1	no	—
1298	C₂×C₂²⋊C₄	—	5	1	no	—
1299	C₂×C₂²⋊C₄	—	5	1	no	—
1300	C₂×C₂²⋊C₄	—	5	1	no	—
1301	C₂×C₂²⋊C₄	—	5	1	no	—
1302	C₂×C₂²⋊C₄	—	5	1	no	—
1303	C₂×C₂²⋊C₄	—	5	1	no	—
1304	C₂×C₂²⋊C₄	—	5	1	no	—
1305	C₂×C₂²⋊C₄	—	5	1	no	—
1306	C₂×C₂²⋊C₄	—	5	1	no	—
1307	C₂×C₂²⋊C₄	—	5	1	no	—
1308	C₂×C₂²⋊C₄	—	5	1	no	—
1309	C₂×C₂²⋊C₄	—	5	1	no	—
1310	C₂×C₂²⋊C₄	—	5	1	no	—
1311	C₂×C₂²⋊C₄	—	5	1	no	—
1312	C₂×C₂²⋊C₄	—	5	1	no	—
1313	C₂×C₂²⋊C₄	—	5	1	no	—
1314	C₂×C₂²⋊C₄	—	5	1	no	—
1315	C₂×C₂²⋊C₄	—	5	1	no	—
1316	C₂×C₂²⋊C₄	—	5	1	no	—
1317	C₂×C₂²⋊C₄	—	5	1	no	—
1318	C₂×C₂²⋊C₄	—	5	1	no	—
1319	C₂×C₂²⋊C₄	—	5	1	no	—
1320	C₂×C₂²⋊C₄	—	5	1	no	—
1321	C₂×C₂²⋊C₄	—	5	1	no	—
1322	C₂×C₂²⋊C₄	—	5	1	no	—
1323	C₂×C₄²	—	5	1	no	—
1324	C₂×C₄²	—	5	1	no	—
1325	C₂×C₄²	—	5	1	no	—
1326	C₂×C₄²	—	5	1	no	—
1327	C₂×C₄²	—	5	1	no	—
1328	C₂×C₄²	—	5	1	no	—
1329	C₂×C₄²	—	5	1	no	—
1330	C₂×C₄²	—	5	1	no	—
1331	C₂×C₄²	—	5	1	no	—
1332	C₂×C₄²	—	5	1	no	—
1333	C₂×C₄²	—	5	1	no	—
1334	C₂×C₄²	—	5	1	no	—
1335	C₂×C₄²	—	5	1	no	—
1336	C₂×C₄²	—	5	1	no	—
1337	C₂×C₄²	—	5	1	no	—
1338	C₂×C₄²	—	5	1	no	—
1339	C₂×C₄²	—	5	1	no	—
1340	C₂×C₄²	—	5	1	no	—
1341	C₂×C₄²	—	5	1	no	—
1342	C₂×C₄²	—	5	1	no	—
1343	C₂×C₄²	—	5	1	no	—
1344	C₂×C₄²	—	5	1	no	—
1345	C₂×C₄²	—	5	1	no	—
1346	C₂×C₄²	—	5	1	no	—
1347	C₂×C₄²	—	5	1	no	—
1348	C₂×C₄²	—	5	1	no	—
1349	C₂×C₄²	—	20	2	no	—
1350	#95	—	5	1	no	—
1351	#95	—	5	1	no	—
1352	#95	—	5	1	no	—
1353	#95	—	5	1	no	—
1354	#95	—	5	1	no	—
1355	#95	—	5	1	no	—
1356	#95	—	5	1	no	—
1357	#95	—	5	1	no	—
1358	#95	—	5	1	no	—
1359	#95	—	5	1	no	—
1360	#95	—	5	1	no	—
1361	#95	—	5	1	no	—
1362	#95	—	5	1	no	—
1363	#95	—	5	1	no	—
1364	#95	—	5	1	no	—
1365	#95	—	5	1	no	—
1366	#95	—	5	1	no	—
1367	#95	—	5	1	no	—
1368	#95	—	5	1	no	—
1369	#95	—	5	1	no	—
1370	#95	—	5	1	no	—
1371	#95	—	5	1	no	—
1372	#95	—	5	1	no	—
1373	#95	—	5	1	no	—
1374	#95	—	5	1	no	—
1375	#95	—	5	1	no	—
1376	#95	—	5	1	no	—
1377	#95	—	5	1	no	—
1378	#95	—	5	1	no	—
1379	#95	—	5	1	no	—
1380	#95	—	5	1	no	—
1381	#95	—	5	1	no	—
1382	#95	—	5	1	no	—
1383	#95	—	5	1	no	—
1384	#95	—	5	1	no	—
1385	#95	—	5	1	no	—
1386	#95	—	5	1	no	—
1387	#95	—	5	1	no	—
1388	#95	—	5	1	no	—
1389	#95	—	5	1	no	—
1390	#95	—	5	1	no	—
1391	#95	—	5	1	no	—
1392	#95	—	5	1	no	—
1393	#95	—	5	1	no	—
1394	#95	—	5	1	no	—
1395	#95	—	5	1	no	—
1396	#95	—	5	1	no	—
1397	#95	—	5	1	no	—
1398	C₂²×C₅	—	2	1	no	—
1399	C₂²×C₅	—	2	1	no	—
1400	C₂²×C₅	—	2	1	no	—
1401	C₂²×C₅	—	2	1	no	—
1402	C₂²×C₅	—	2	1	no	—
1403	C₂²×C₅	—	2	1	no	—
1404	C₂²×C₅	—	2	1	no	—
1405	C₂²×C₅	—	2	1	no	—
1406	C₂²×C₅	—	2	1	no	—
1407	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1408	C₂×D₅	—	2	1	no	—
1409	C₂×D₅	—	2	1	no	—
1410	C₂×D₅	—	2	1	no	—
1411	C₂×D₅	—	2	1	no	—
1412	C₂×D₅	—	2	1	no	—
1413	C₂×D₅	—	2	1	no	—
1414	C₂×D₅	—	2	1	no	—
1415	C₂×D₅	—	2	1	no	—
1416	C₂×D₅	—	2	1	no	—
1417	C₂×D₅	—	4	1	no	—
1418	C₂×D₅	—	4	1	no	—
1419	C₂×D₅	—	4	1	no	—
1420	C₂×D₅	—	4	1	no	—
1421	C₂×D₅	—	4	1	no	—
1422	C₂×D₅	—	4	1	no	—
1423	C₂×D₅	—	4	1	no	—
1424	C₂×D₅	—	4	1	no	—
1425	C₂×D₅	—	4	1	no	—
1426	C₂×D₅	—	4	1	no	—
1427	C₂×D₅	—	4	1	no	—
1428	C₂×D₅	—	4	1	no	—
1429	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1430	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1431	C₂×D₅	#585	1	1	yes	characteristic
1432	C₂×D₅	#585	1	1	yes	characteristic
1433	C₂×D₅	#585	1	1	yes	characteristic
1434	C₂×D₅	#585	1	1	yes	characteristic
1435	AGL(1,𝔽₅)	—	2	2	no	—
1436	AGL(1,𝔽₅)	—	2	2	no	—
1437	AGL(1,𝔽₅)	—	4	1	no	—
1438	AGL(1,𝔽₅)	—	4	1	no	—
1439	AGL(1,𝔽₅)	—	4	1	no	—
1440	AGL(1,𝔽₅)	—	4	1	no	—
1441	AGL(1,𝔽₅)	—	4	1	no	—
1442	AGL(1,𝔽₅)	—	4	1	no	—
1443	AGL(1,𝔽₅)	—	4	1	no	—
1444	AGL(1,𝔽₅)	—	4	1	no	—
1445	AGL(1,𝔽₅)	—	4	1	no	—
1446	AGL(1,𝔽₅)	—	4	1	no	—
1447	AGL(1,𝔽₅)	—	4	1	no	—
1448	AGL(1,𝔽₅)	—	4	1	no	—
1449	AGL(1,𝔽₅)	—	4	1	no	—
1450	AGL(1,𝔽₅)	—	4	1	no	—
1451	C₄×C₅	—	2	1	no	—
1452	C₄×C₅	—	2	1	no	—
1453	C₄×C₅	—	2	1	no	—
1454	C₄×C₅	—	2	1	no	—
1455	C₄×C₅	—	2	1	no	—
1456	C₄×C₅	—	2	1	no	—
1457	C₄×C₅	—	2	1	no	—
1458	C₄×C₅	—	2	1	no	—
1459	C₄×C₅	—	2	1	no	—
1460	C₄×C₅	—	2	1	no	—
1461	C₄×C₅	—	2	1	no	—
1462	C₄×C₅	—	2	1	no	—
1463	Dic₅	—	2	1	no	—
1464	Dic₅	—	2	1	no	—
1465	Dic₅	—	2	1	no	—
1466	Dic₅	—	2	1	no	—
1467	Dic₅	—	2	1	no	—
1468	Dic₅	—	2	1	no	—
1469	Dic₅	—	2	1	no	—
1470	Dic₅	—	2	1	no	—
1471	Dic₅	—	2	1	no	—
1472	Dic₅	—	2	1	no	—
1473	Dic₅	—	2	1	no	—
1474	Dic₅	—	2	1	no	—
1475	C₂⁴	—	5	1	no	—
1476	C₂⁴	—	5	1	no	—
1477	C₂⁴	—	5	1	no	—
1478	C₂×Q₈	—	5	1	no	—
1479	C₂×Q₈	—	5	1	no	—
1480	C₂×Q₈	—	5	1	no	—
1481	C₂×Q₈	—	20	1	no	—
1482	C₂×Q₈	—	20	1	no	—
1483	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1484	C₂×D₄	—	5	1	no	—
1485	C₂×D₄	—	5	1	no	—
1486	C₂×D₄	—	5	1	no	—
1487	C₂×D₄	—	5	1	no	—
1488	C₂×D₄	—	5	1	no	—
1489	C₂×D₄	—	5	1	no	—
1490	C₂×D₄	—	5	1	no	—
1491	C₂×D₄	—	5	1	no	—
1492	C₂×D₄	—	5	1	no	—
1493	C₂×D₄	—	20	1	no	—
1494	C₂×D₄	—	20	1	no	—
1495	C₂×D₄	—	20	1	no	—
1496	C₂×D₄	—	20	1	no	—
1497	C₂×D₄	—	20	1	no	—
1498	C₂×D₄	—	20	1	no	—
1499	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1500	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1501	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1502	C₂²×C₄	—	5	1	no	—
1503	C₂²×C₄	—	5	1	no	—
1504	C₂²×C₄	—	5	1	no	—
1505	C₂²×C₄	—	5	1	no	—
1506	C₂²×C₄	—	5	1	no	—
1507	C₂²×C₄	—	5	1	no	—
1508	C₂²×C₄	—	5	1	no	—
1509	C₂²×C₄	—	5	1	no	—
1510	C₂²×C₄	—	5	1	no	—
1511	C₂²×C₄	—	5	1	no	—
1512	C₂²×C₄	—	5	1	no	—
1513	C₂²×C₄	—	5	1	no	—
1514	C₂²×C₄	—	5	1	no	—
1515	C₂²×C₄	—	5	1	no	—
1516	C₂²×C₄	—	5	1	no	—
1517	C₂²×C₄	—	5	1	no	—
1518	C₂²×C₄	—	5	1	no	—
1519	C₂²×C₄	—	5	1	no	—
1520	C₂²×C₄	—	5	1	no	—
1521	C₂²×C₄	—	5	1	no	—
1522	C₂²×C₄	—	5	1	no	—
1523	C₂²×C₄	—	5	1	no	—
1524	C₂²×C₄	—	5	1	no	—
1525	C₂²×C₄	—	5	1	no	—
1526	C₂²×C₄	—	5	1	no	—
1527	C₂²×C₄	—	5	1	no	—
1528	C₂²×C₄	—	5	1	no	—
1529	C₂²×C₄	—	5	1	no	—
1530	C₂²×C₄	—	5	1	no	—
1531	C₂²×C₄	—	5	1	no	—
1532	C₂²×C₄	—	5	1	no	—
1533	C₂²×C₄	—	5	1	no	—
1534	C₂²×C₄	—	5	1	no	—
1535	C₂²×C₄	—	5	1	no	—
1536	C₂²×C₄	—	5	1	no	—
1537	C₂²×C₄	—	5	1	no	—
1538	C₂²×C₄	—	5	1	no	—
1539	C₂²×C₄	—	5	1	no	—
1540	C₂²×C₄	—	5	1	no	—
1541	C₂²×C₄	—	5	1	no	—
1542	C₂²×C₄	—	5	1	no	—
1543	C₂²×C₄	—	5	1	no	—
1544	C₂²×C₄	—	5	1	no	—
1545	C₂²×C₄	—	10	2	no	—
1546	C₂²×C₄	—	10	2	no	—
1547	C₂²×C₄	—	10	2	no	—
1548	C₂²×C₄	—	20	1	no	—
1549	C₂²×C₄	—	20	1	no	—
1550	C₂²×C₄	—	20	1	no	—
1551	C₂²×C₄	—	20	1	no	—
1552	C₂²×C₄	—	20	1	no	—
1553	C₂²×C₄	—	20	1	no	—
1554	C₂²×C₄	—	20	1	no	—
1555	C₂²×C₄	—	20	1	no	—
1556	C₂²×C₄	—	20	1	no	—
1557	C₂²×C₄	—	20	1	no	—
1558	C₂²×C₄	—	20	1	no	—
1559	C₂²×C₄	—	20	1	no	—
1560	C₂²×C₄	—	20	1	no	—
1561	C₂²×C₄	—	20	1	no	—
1562	C₂²×C₄	—	20	1	no	—
1563	C₂²×C₄	—	20	1	no	—
1564	C₂²×C₄	—	20	1	no	—
1565	C₂²×C₄	—	20	1	no	—
1566	C₂²×C₄	—	20	1	no	—
1567	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1568	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1569	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1570	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1571	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	5	1	no	—
1576	C₄⋊C₄	—	5	1	no	—
1577	C₄⋊C₄	—	5	1	no	—
1578	C₄⋊C₄	—	5	1	no	—
1579	C₄⋊C₄	—	5	1	no	—
1580	C₄⋊C₄	—	5	1	no	—
1581	C₄⋊C₄	—	5	1	no	—
1582	C₄⋊C₄	—	5	1	no	—
1583	C₄⋊C₄	—	5	1	no	—
1584	C₄⋊C₄	—	5	1	no	—
1585	C₄⋊C₄	—	5	1	no	—
1586	C₄⋊C₄	—	5	1	no	—
1587	C₄⋊C₄	—	5	1	no	—
1588	C₄⋊C₄	—	5	1	no	—
1589	C₄⋊C₄	—	5	1	no	—
1590	C₄⋊C₄	—	5	1	no	—
1591	C₄⋊C₄	—	5	1	no	—
1592	C₄⋊C₄	—	5	1	no	—
1593	C₄⋊C₄	—	5	1	no	—
1594	C₄⋊C₄	—	5	1	no	—
1595	C₄⋊C₄	—	5	1	no	—
1596	C₄⋊C₄	—	5	1	no	—
1597	C₄⋊C₄	—	5	1	no	—
1598	C₄⋊C₄	—	5	1	no	—
1599	C₄⋊C₄	—	5	1	no	—
1600	C₄⋊C₄	—	5	1	no	—
1601	C₄⋊C₄	—	5	1	no	—
1602	C₄⋊C₄	—	5	1	no	—
1603	C₄⋊C₄	—	5	1	no	—
1604	C₄⋊C₄	—	5	1	no	—
1605	C₄⋊C₄	—	5	1	no	—
1606	C₄⋊C₄	—	5	1	no	—
1607	C₄⋊C₄	—	5	1	no	—
1608	C₄⋊C₄	—	5	1	no	—
1609	C₄⋊C₄	—	5	1	no	—
1610	C₄⋊C₄	—	5	1	no	—
1611	C₄⋊C₄	—	5	1	no	—
1612	C₄⋊C₄	—	5	1	no	—
1613	C₄⋊C₄	—	5	1	no	—
1614	C₄⋊C₄	—	10	2	no	—
1615	C₄⋊C₄	—	10	2	no	—
1616	C₄⋊C₄	—	10	2	no	—
1617	C₄⋊C₄	—	10	2	no	—
1618	C₄⋊C₄	—	10	2	no	—
1619	C₄⋊C₄	—	20	1	no	—
1620	C₄⋊C₄	—	20	1	no	—
1621	C₄⋊C₄	—	20	1	no	—
1622	C₄⋊C₄	—	20	1	no	—
1623	C₄⋊C₄	—	20	1	no	—
1624	C₄⋊C₄	—	20	1	no	—
1625	C₄⋊C₄	—	20	1	no	—
1626	C₄⋊C₄	—	20	1	no	—
1627	C₄⋊C₄	—	20	1	no	—
1628	C₄⋊C₄	—	20	1	no	—
1629	C₄⋊C₄	—	20	1	no	—
1630	C₄⋊C₄	—	20	1	no	—
1631	C₄⋊C₄	—	20	1	no	—
1632	C₄⋊C₄	—	20	1	no	—
1633	C₄⋊C₄	—	20	1	no	—
1634	C₄⋊C₄	—	20	1	no	—
1635	C₄⋊C₄	—	20	1	no	—
1636	C₄⋊C₄	—	20	1	no	—
1637	C₄⋊C₄	—	20	1	no	—
1638	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1639	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1640	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1641	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1642	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1643	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1644	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1645	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1646	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1647	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1648	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1649	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1650	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1651	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1652	C₂²⋊C₄	—	5	1	no	—
1653	C₂²⋊C₄	—	5	1	no	—
1654	C₂²⋊C₄	—	5	1	no	—
1655	C₂²⋊C₄	—	5	1	no	—
1656	C₂²⋊C₄	—	5	1	no	—
1657	C₂²⋊C₄	—	5	1	no	—
1658	C₂²⋊C₄	—	5	1	no	—
1659	C₂²⋊C₄	—	5	1	no	—
1660	C₂²⋊C₄	—	5	1	no	—
1661	C₂²⋊C₄	—	5	1	no	—
1662	C₂²⋊C₄	—	5	1	no	—
1663	C₂²⋊C₄	—	5	1	no	—
1664	C₂²⋊C₄	—	5	1	no	—
1665	C₂²⋊C₄	—	5	1	no	—
1666	C₂²⋊C₄	—	5	1	no	—
1667	C₂²⋊C₄	—	5	1	no	—
1668	C₂²⋊C₄	—	5	1	no	—
1669	C₂²⋊C₄	—	5	1	no	—
1670	C₂²⋊C₄	—	5	1	no	—
1671	C₂²⋊C₄	—	5	1	no	—
1672	C₂²⋊C₄	—	5	1	no	—
1673	C₂²⋊C₄	—	5	1	no	—
1674	C₂²⋊C₄	—	5	1	no	—
1675	C₂²⋊C₄	—	5	1	no	—
1676	C₂²⋊C₄	—	5	1	no	—
1677	C₂²⋊C₄	—	5	1	no	—
1678	C₂²⋊C₄	—	5	1	no	—
1679	C₂²⋊C₄	—	5	1	no	—
1680	C₂²⋊C₄	—	5	1	no	—
1681	C₂²⋊C₄	—	5	1	no	—
1682	C₂²⋊C₄	—	10	2	no	—
1683	C₂²⋊C₄	—	10	2	no	—
1684	C₂²⋊C₄	—	10	2	no	—
1685	C₂²⋊C₄	—	20	1	no	—
1686	C₂²⋊C₄	—	20	1	no	—
1687	C₂²⋊C₄	—	20	1	no	—
1688	C₂²⋊C₄	—	20	1	no	—
1689	C₂²⋊C₄	—	20	1	no	—
1690	C₂²⋊C₄	—	20	1	no	—
1691	C₂²⋊C₄	—	20	1	no	—
1692	C₂²⋊C₄	—	20	1	no	—
1693	C₂²⋊C₄	—	20	1	no	—
1694	C₂²⋊C₄	—	20	1	no	—
1695	C₂²⋊C₄	—	20	1	no	—
1696	C₂²⋊C₄	—	20	1	no	—
1697	C₂²⋊C₄	—	20	1	no	—
1698	C₂²⋊C₄	—	20	1	no	—
1699	C₂²⋊C₄	—	20	1	no	—
1700	C₂²⋊C₄	—	20	1	no	—
1701	C₂²⋊C₄	—	20	1	no	—
1702	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1703	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1704	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1705	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1709	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1710	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1711	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1712	C₄²	—	5	1	no	—
1713	C₄²	—	5	1	no	—
1714	C₄²	—	5	1	no	—
1715	C₄²	—	5	1	no	—
1716	C₄²	—	5	1	no	—
1717	C₄²	—	5	1	no	—
1718	C₄²	—	10	2	no	—
1719	C₄²	—	10	2	no	—
1720	C₄²	—	10	2	no	—
1721	C₄²	—	20	1	no	—
1722	C₄²	—	20	1	no	—
1723	C₄²	—	20	1	no	—
1724	C₄²	—	20	1	no	—
1725	C₄²	—	20	1	no	—
1726	C₄²	—	20	1	no	—
1727	C₄²	—	20	1	no	—
1728	C₄²	—	20	1	no	—
1729	C₄²	—	20	1	no	—
1730	C₄²	—	20	1	no	—
1731	C₄²	—	20	1	no	—
1732	C₄²	—	20	1	no	—
1733	C₄²	—	20	1	no	—
1734	C₄²	—	20	1	no	—
1735	C₄²	—	20	1	no	—
1736	C₄²	—	20	1	no	—
1737	C₄²	—	20	1	no	—
1738	C₄²	—	20	1	no	—
1739	C₄²	—	20	1	no	—
1740	C₄²	—	20	1	no	—
1741	C₄²	—	20	1	no	—
1742	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1743	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1744	C₂×C₅	—	4	1	no	—
1745	C₂×C₅	—	4	1	no	—
1746	C₂×C₅	—	4	1	no	—
1747	C₂×C₅	#3428	1	1	yes	characteristic
1748	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1749	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1750	D₅	—	4	1	no	—
1751	D₅	—	4	1	no	—
1752	D₅	—	4	1	no	—
1753	D₅	#3533	1	1	yes	characteristic
1754	D₅	#3541	1	1	yes	characteristic
1755	D₅	#3557	1	1	yes	characteristic
1756	D₅	#3567	1	1	yes	characteristic
1757	C₂³	—	5	1	no	—
1758	C₂³	—	5	1	no	—
1759	C₂³	—	5	1	no	—
1760	C₂³	—	5	1	no	—
1761	C₂³	—	10	1	no	—
1762	C₂³	—	10	1	no	—
1763	C₂³	—	10	1	no	—
1764	C₂³	—	10	1	no	—
1765	C₂³	—	10	1	no	—
1766	C₂³	—	10	1	no	—
1767	C₂³	—	10	1	no	—
1768	C₂³	—	10	1	no	—
1769	C₂³	—	10	1	no	—
1770	C₂³	—	10	1	no	—
1771	C₂³	—	10	1	no	—
1772	C₂³	—	10	1	no	—
1773	C₂³	—	10	1	no	—
1774	C₂³	—	10	1	no	—
1775	C₂³	—	10	1	no	—
1776	C₂³	—	10	1	no	—
1777	C₂³	—	10	1	no	—
1778	C₂³	—	10	1	no	—
1779	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1780	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1781	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1782	Q₈	—	4	1	no	—
1783	Q₈	—	20	1	no	—
1784	Q₈	—	20	1	no	—
1785	Q₈	—	20	1	no	—
1786	D₄	—	4	1	no	—
1787	D₄	—	4	1	no	—
1788	D₄	—	4	1	no	—
1789	D₄	—	20	1	no	—
1790	D₄	—	20	1	no	—
1791	D₄	—	20	1	no	—
1792	D₄	—	20	1	no	—
1793	D₄	—	20	1	no	—
1794	D₄	—	20	1	no	—
1795	D₄	—	20	1	no	—
1796	D₄	—	20	1	no	—
1797	D₄	—	20	1	no	—
1798	C₂×C₄	—	4	1	no	—
1799	C₂×C₄	—	4	1	no	—
1800	C₂×C₄	—	4	1	no	—
1801	C₂×C₄	—	4	1	no	—
1802	C₂×C₄	—	4	1	no	—
1803	C₂×C₄	—	5	2	no	—
1804	C₂×C₄	—	5	2	no	—
1805	C₂×C₄	—	5	1	no	—
1806	C₂×C₄	—	5	1	no	—
1807	C₂×C₄	—	5	1	no	—
1808	C₂×C₄	—	5	1	no	—
1809	C₂×C₄	—	5	1	no	—
1810	C₂×C₄	—	5	1	no	—
1811	C₂×C₄	—	5	1	no	—
1812	C₂×C₄	—	5	1	no	—
1813	C₂×C₄	—	5	1	no	—
1814	C₂×C₄	—	5	1	no	—
1815	C₂×C₄	—	5	1	no	—
1816	C₂×C₄	—	5	1	no	—
1817	C₂×C₄	—	10	1	no	—
1818	C₂×C₄	—	10	1	no	—
1819	C₂×C₄	—	10	1	no	—
1820	C₂×C₄	—	10	1	no	—
1821	C₂×C₄	—	10	1	no	—
1822	C₂×C₄	—	10	1	no	—
1823	C₂×C₄	—	10	1	no	—
1824	C₂×C₄	—	10	1	no	—
1825	C₂×C₄	—	10	1	no	—
1826	C₂×C₄	—	10	1	no	—
1827	C₂×C₄	—	10	1	no	—
1828	C₂×C₄	—	10	1	no	—
1829	C₂×C₄	—	10	1	no	—
1830	C₂×C₄	—	10	1	no	—
1831	C₂×C₄	—	10	1	no	—
1832	C₂×C₄	—	10	1	no	—
1833	C₂×C₄	—	10	1	no	—
1834	C₂×C₄	—	10	1	no	—
1835	C₂×C₄	—	10	1	no	—
1836	C₂×C₄	—	10	1	no	—
1837	C₂×C₄	—	10	1	no	—
1838	C₂×C₄	—	10	1	no	—
1839	C₂×C₄	—	10	1	no	—
1840	C₂×C₄	—	10	1	no	—
1841	C₂×C₄	—	10	1	no	—
1842	C₂×C₄	—	10	1	no	—
1843	C₂×C₄	—	10	1	no	—
1844	C₂×C₄	—	10	1	no	—
1845	C₂×C₄	—	10	1	no	—
1846	C₂×C₄	—	10	1	no	—
1847	C₂×C₄	—	10	1	no	—
1848	C₂×C₄	—	10	1	no	—
1849	C₂×C₄	—	10	1	no	—
1850	C₂×C₄	—	10	1	no	—
1851	C₂×C₄	—	10	1	no	—
1852	C₂×C₄	—	10	1	no	—
1853	C₂×C₄	—	10	1	no	—
1854	C₂×C₄	—	10	1	no	—
1855	C₂×C₄	—	10	1	no	—
1856	C₂×C₄	—	10	1	no	—
1857	C₂×C₄	—	10	1	no	—
1858	C₂×C₄	—	10	1	no	—
1859	C₂×C₄	—	10	1	no	—
1860	C₂×C₄	—	10	1	no	—
1861	C₂×C₄	—	10	1	no	—
1862	C₂×C₄	—	10	1	no	—
1863	C₂×C₄	—	10	1	no	—
1864	C₂×C₄	—	10	1	no	—
1865	C₂×C₄	—	10	1	no	—
1866	C₂×C₄	—	10	1	no	—
1867	C₂×C₄	—	10	1	no	—
1868	C₂×C₄	—	10	1	no	—
1869	C₂×C₄	—	10	1	no	—
1870	C₂×C₄	—	10	1	no	—
1871	C₂×C₄	—	10	1	no	—
1872	C₂×C₄	—	10	1	no	—
1873	C₂×C₄	—	10	1	no	—
1874	C₂×C₄	—	10	1	no	—
1875	C₂×C₄	—	10	1	no	—
1876	C₂×C₄	—	10	1	no	—
1877	C₂×C₄	—	10	1	no	—
1878	C₂×C₄	—	10	1	no	—
1879	C₂×C₄	—	10	1	no	—
1880	C₂×C₄	—	10	1	no	—
1881	C₂×C₄	—	10	1	no	—
1882	C₂×C₄	—	10	1	no	—
1883	C₂×C₄	—	10	1	no	—
1884	C₂×C₄	—	10	1	no	—
1885	C₂×C₄	—	10	1	no	—
1886	C₂×C₄	—	10	1	no	—
1887	C₂×C₄	—	20	1	no	—
1888	C₂×C₄	—	20	1	no	—
1889	C₂×C₄	—	20	1	no	—
1890	C₂×C₄	—	20	1	no	—
1891	C₂×C₄	—	20	1	no	—
1892	C₂×C₄	—	20	1	no	—
1893	C₂×C₄	—	20	1	no	—
1894	C₂×C₄	—	20	1	no	—
1895	C₂×C₄	—	20	1	no	—
1896	C₂×C₄	—	20	1	no	—
1897	C₂×C₄	—	20	1	no	—
1898	C₂×C₄	—	20	1	no	—
1899	C₂×C₄	—	20	1	no	—
1900	C₂×C₄	—	20	1	no	—
1901	C₂×C₄	—	20	1	no	—
1902	C₂×C₄	—	20	4	no	—
1903	C₂×C₄	—	20	4	no	—
1904	C₂×C₄	—	40	2	no	—
1905	C₂×C₄	—	40	2	no	—
1906	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1907	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1908	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1909	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1910	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1911	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1912	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1913	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1914	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1915	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1916	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1917	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1918	C₅	#34449	1	1	yes	characteristic, complemented, Sylow
1919	C₂²	—	2	1	no	—
1920	C₂²	—	2	1	no	—
1921	C₂²	—	2	1	no	—
1922	C₂²	—	2	1	no	—
1923	C₂²	—	2	1	no	—
1924	C₂²	—	2	1	no	—
1925	C₂²	—	2	1	no	—
1926	C₂²	—	2	1	no	—
1927	C₂²	—	2	1	no	—
1928	C₂²	—	5	1	no	—
1929	C₂²	—	5	1	no	—
1930	C₂²	—	5	1	no	—
1931	C₂²	—	5	1	no	—
1932	C₂²	—	5	1	no	—
1933	C₂²	—	5	1	no	—
1934	C₂²	—	10	1	no	—
1935	C₂²	—	10	1	no	—
1936	C₂²	—	10	1	no	—
1937	C₂²	—	10	1	no	—
1938	C₂²	—	10	1	no	—
1939	C₂²	—	10	1	no	—
1940	C₂²	—	10	1	no	—
1941	C₂²	—	10	1	no	—
1942	C₂²	—	10	1	no	—
1943	C₂²	—	20	1	no	—
1944	C₂²	—	20	1	no	—
1945	C₂²	—	20	1	no	—
1946	C₂²	—	20	1	no	—
1947	C₂²	—	20	1	no	—
1948	C₂²	—	20	1	no	—
1949	C₂²	—	20	1	no	—
1950	C₂²	—	20	1	no	—
1951	C₂²	—	20	1	no	—
1952	C₂²	—	20	1	no	—
1953	C₂²	—	20	1	no	—
1954	C₂²	—	20	1	no	—
1955	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
1956	C₄	—	2	1	no	—
1957	C₄	—	2	1	no	—
1958	C₄	—	2	1	no	—
1959	C₄	—	2	1	no	—
1960	C₄	—	2	1	no	—
1961	C₄	—	2	1	no	—
1962	C₄	—	2	1	no	—
1963	C₄	—	2	1	no	—
1964	C₄	—	2	1	no	—
1965	C₄	—	2	1	no	—
1966	C₄	—	2	1	no	—
1967	C₄	—	2	1	no	—
1968	C₄	—	10	2	no	—
1969	C₄	—	10	2	no	—
1970	C₄	—	10	1	no	—
1971	C₄	—	10	1	no	—
1972	C₄	—	10	1	no	—
1973	C₄	—	10	1	no	—
1974	C₄	—	10	1	no	—
1975	C₄	—	10	1	no	—
1976	C₄	—	10	1	no	—
1977	C₄	—	10	1	no	—
1978	C₄	—	10	1	no	—
1979	C₄	—	10	1	no	—
1980	C₄	—	10	1	no	—
1981	C₄	—	10	1	no	—
1982	C₄	—	20	1	no	—
1983	C₄	—	20	1	no	—
1984	C₄	—	20	1	no	—
1985	C₄	—	20	1	no	—
1986	C₄	—	20	1	no	—
1987	C₄	—	20	1	no	—
1988	C₄	—	20	1	no	—
1989	C₄	—	20	1	no	—
1990	C₄	—	20	1	no	—
1991	C₄	—	20	1	no	—
1992	C₄	—	20	1	no	—
1993	C₄	—	20	1	no	—
1994	C₄	—	20	1	no	—
1995	C₄	—	20	1	no	—
1996	C₂	—	4	1	no	—
1997	C₂	—	4	1	no	—
1998	C₂	—	4	1	no	—
1999	C₂	—	5	1	no	—
2000	C₂	—	5	1	no	—
2001	C₂	—	5	1	no	—
2002	C₂	—	5	1	no	—
2003	C₂	—	20	1	no	—
2004	C₂	—	20	1	no	—
2005	C₂	—	20	1	no	—
2006	C₂	#10619412	1	1	yes	characteristic
2007	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic
2008	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×#539	C₄
prime radical	D₅×#121	C₂²
cosocle	C₂²×D₅	C₂⁵
hypercenter	#539	AGL(1,𝔽₅)
hypocenter	C₅	#34449
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
2. #10617359	C₂	semidirect
3. #10617359	C₂	semidirect
4. #10617358	C₂	semidirect
5. #10617358	C₂	semidirect
6. #10617348	C₂	semidirect
7. #10617347	C₂	semidirect
8. #10617346	C₂	semidirect
9. #10617346	C₂	semidirect
10. #10617308	C₂	semidirect
11. #10617307	C₂	semidirect
12. #10617305	C₂	semidirect
13. #10617305	C₂	semidirect
14. #10617305	C₂	semidirect
15. #10617305	C₂	semidirect
16. #10617304	C₂	semidirect
17. AGL(1,𝔽₅)×#123	C₂	semidirect
18. #10617288	C₂	semidirect
19. #10617288	C₂	semidirect
20. #10617286	C₂	semidirect
21. #10617285	C₂	semidirect
22. #10617284	C₂	semidirect
23. AGL(1,𝔽₅)×C₂²⋊Q₈	C₂	semidirect
26. #10617182	C₂	semidirect
27. #10617179	C₂	semidirect
28. #10617176	C₂	semidirect
29. #10617173	C₂	semidirect
30. #10617104	C₂	semidirect
31. #10617103	C₂	semidirect
38. C₅×#539	C₄	semidirect
39. #66041	C₄	semidirect
40. #66041	C₄	semidirect
43. #66026	C₄	semidirect
44. #66026	C₄	semidirect
47. #65999	C₄	semidirect
48. #65999	C₄	semidirect
49. #65994	C₄	semidirect
50. #65994	C₄	semidirect
55. #65979	C₄	semidirect
56. #65972	C₄	semidirect
57. #65972	C₄	semidirect
62. #65936	C₄	semidirect
63. #65898	C₄	semidirect
64. #65898	C₄	semidirect
67. #65849	C₄	semidirect
291. C₅×#126	C₂×C₄	semidirect
292. C₅×#126	C₂×C₄	semidirect
293. C₅×#125	C₂×C₄	semidirect
294. C₅×#125	C₂×C₄	semidirect
297. C₅×#123	C₂×C₄	semidirect
298. C₅×#123	C₂×C₄	semidirect
299. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
300. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
301. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
303. C₄×C₅×D₄	C₂×C₄	semidirect
304. C₄×C₅×D₄	C₂×C₄	semidirect
305. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
306. #4092	C₂×C₄	semidirect
307. #4092	C₂×C₄	semidirect
308. #4092	C₂×C₄	semidirect
314. #4081	C₂×C₄	semidirect
315. #4081	C₂×C₄	semidirect
316. D₄×Dic₅	C₂×C₄	semidirect
317. D₄×Dic₅	C₂×C₄	semidirect
321. #4075	C₂×C₄	semidirect
322. #4075	C₂×C₄	semidirect
323. C₄×C₂²⋊D₅	C₂×C₄	semidirect
324. C₄×C₂²⋊D₅	C₂×C₄	semidirect
325. C₄×C₂²⋊D₅	C₂×C₄	semidirect
326. C₄×C₂²⋊D₅	C₂×C₄	semidirect
327. C₂×C₄⋊Dic₅	C₂×C₄	semidirect
328. #4070	C₂×C₄	semidirect
329. #4070	C₂×C₄	semidirect
330. #4070	C₂×C₄	semidirect
331. C₂×#683	C₂×C₄	semidirect
332. C₂×#683	C₂×C₄	semidirect
333. #4044	C₂×C₄	semidirect
334. #4044	C₂×C₄	semidirect
335. #4044	C₂×C₄	semidirect
336. #4044	C₂×C₄	semidirect
337. #4044	C₂×C₄	semidirect
338. #4044	C₂×C₄	semidirect
339. #4043	C₂×C₄	semidirect
340. #4043	C₂×C₄	semidirect
341. #4043	C₂×C₄	semidirect
342. #4042	C₂×C₄	semidirect
343. #4042	C₂×C₄	semidirect
344. #4042	C₂×C₄	semidirect
345. #4042	C₂×C₄	semidirect
346. #4042	C₂×C₄	semidirect
347. #4042	C₂×C₄	semidirect
353. #4040	C₂×C₄	semidirect
354. #4040	C₂×C₄	semidirect
355. #4040	C₂×C₄	semidirect
356. #4040	C₂×C₄	semidirect
357. #4039	C₂×C₄	semidirect
358. #4039	C₂×C₄	semidirect
359. D₅×C₄⋊C₄	C₂×C₄	semidirect
360. D₅×C₄⋊C₄	C₂×C₄	semidirect
361. D₅×C₄⋊C₄	C₂×C₄	semidirect
362. D₅×C₄⋊C₄	C₂×C₄	semidirect
377. #4036	C₂×C₄	semidirect
378. #4036	C₂×C₄	semidirect
379. #4036	C₂×C₄	semidirect
380. #4036	C₂×C₄	semidirect
381. #4035	C₂×C₄	semidirect
382. #4035	C₂×C₄	semidirect
383. #4035	C₂×C₄	semidirect
384. #4035	C₂×C₄	semidirect
385. #4035	C₂×C₄	semidirect
386. #4035	C₂×C₄	semidirect
387. #4035	C₂×C₄	semidirect
388. #4035	C₂×C₄	semidirect
391. #4032	C₂×C₄	semidirect
392. #4032	C₂×C₄	semidirect
399. #4029	C₂×C₄	semidirect
400. #4029	C₂×C₄	semidirect
401. #4029	C₂×C₄	semidirect
402. #4029	C₂×C₄	semidirect
403. #4027	C₂×C₄	semidirect
404. #4027	C₂×C₄	semidirect
405. #4027	C₂×C₄	semidirect
406. #4027	C₂×C₄	semidirect
417. #4025	C₂×C₄	semidirect
418. #4025	C₂×C₄	semidirect
419. #4025	C₂×C₄	semidirect
420. #4025	C₂×C₄	semidirect
421. #4025	C₂×C₄	semidirect
422. #4025	C₂×C₄	semidirect
423. #4024	C₂×C₄	semidirect
424. #4024	C₂×C₄	semidirect
425. #4024	C₂×C₄	semidirect
426. #4024	C₂×C₄	semidirect
427. #4024	C₂×C₄	semidirect
428. #4024	C₂×C₄	semidirect
429. #4022	C₂×C₄	semidirect
430. #4022	C₂×C₄	semidirect
431. C₄×D₂₀	C₂×C₄	semidirect
432. C₄×D₂₀	C₂×C₄	semidirect
435. #4016	C₂×C₄	semidirect
436. #4016	C₂×C₄	semidirect
800. #539	AGL(1,𝔽₅)	semidirect
1144. #126	C₂×AGL(1,𝔽₅)	semidirect
1145. #126	C₂×AGL(1,𝔽₅)	semidirect
1160. #125	C₂×AGL(1,𝔽₅)	semidirect
1161. #125	C₂×AGL(1,𝔽₅)	semidirect
1192. #123	C₂×AGL(1,𝔽₅)	semidirect
1193. #123	C₂×AGL(1,𝔽₅)	semidirect
1215. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1216. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1217. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1242. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1243. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1292. C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	semidirect
1918. C₅	#34449	semidirect

Maximal subgroups

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

subgroup	index
D₅×#539	2
#10617359	2
#10617358	2
#10617348	2
#10617347	2
#10617346	2
#10617308	2
#10617307	2
#10617305	2
#10617304	2
AGL(1,𝔽₅)×#123	2
#10617288	2
#10617286	2
#10617285	2
#10617284	2
AGL(1,𝔽₅)×C₂²⋊Q₈	2
#10617252	2
#10617250	2
#10617182	2
#10617179	2
#10617176	2
#10617173	2
#10617104	2
#10617103	2
#34449	5