Subgroups — #13044352

Order 1280.

2140 conjugacy classes of subgroups.

The subgroup lattice has 2086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#553	C₂	1	1	yes	maximal, characteristic
2	#10617360	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	#10617347	C₂	1	1	yes	maximal, characteristic, complemented
7	#10617345	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617307	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617306	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
11	AGL(1,𝔽₅)×#123	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617256	C₂	1	1	yes	maximal, characteristic, complemented
13	#10617256	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617256	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617254	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617252	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617252	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617251	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617250	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617182	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617181	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617180	C₂	1	1	yes	maximal, characteristic, complemented
23	#10617180	C₂	1	1	yes	maximal, characteristic, complemented
24	#10617176	C₂	1	1	yes	maximal, characteristic, complemented
25	#10617175	C₂	1	1	yes	maximal, characteristic, complemented
26	#10617173	C₂	1	1	yes	maximal, characteristic, complemented
27	#10617173	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617132	C₂	1	1	yes	maximal, characteristic, complemented
29	#10617130	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617103	C₂	1	1	yes	maximal, characteristic, complemented
31	#10617101	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₄×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	C₂×#4130	C₂²	1	1	yes	characteristic
37	C₂²×C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
38	C₅×#553	C₄	1	1	yes	characteristic, complemented
39	#66043	C₄	1	1	yes	characteristic, complemented
40	#66043	C₄	1	1	yes	characteristic, complemented
41	D₅×#126	C₂²	1	1	yes	characteristic
42	D₅×#126	C₂²	1	1	yes	characteristic
43	#66029	C₄	1	1	yes	characteristic, complemented
44	D₅×#125	C₂²	1	1	yes	characteristic
45	#65995	C₄	1	1	yes	characteristic, complemented
46	#65995	C₄	1	1	yes	characteristic, complemented
47	D₅×#123	C₂²	1	1	yes	characteristic
48	D₅×#123	C₂²	1	1	yes	characteristic
49	#65952	C₄	1	1	yes	characteristic, complemented
50	#65948	C₄	1	1	yes	characteristic, complemented
51	D₅×#121	C₂²	1	1	yes	characteristic
52	D₅×#121	C₂²	1	1	yes	characteristic
53	D₅×#121	C₂²	1	1	yes	characteristic
54	D₅×#121	C₂²	1	1	yes	characteristic
55	#65935	C₄	1	1	yes	characteristic, complemented
56	#65935	C₄	1	1	yes	characteristic, complemented
57	#65899	C₄	1	1	yes	characteristic, complemented
58	#65892	C₄	1	1	yes	characteristic, complemented
59	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
60	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
61	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
62	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
63	#65874	C₄	1	1	yes	characteristic, complemented
64	#65874	C₄	1	1	yes	characteristic, complemented
65	#65864	C₄	1	1	yes	characteristic, complemented
66	D₅×#117	C₂²	1	1	yes	characteristic
67	#65848	C₄	1	1	yes	characteristic, complemented
68	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	#65780	C₂²	1	1	yes	characteristic
70	#65780	C₂²	1	1	yes	characteristic
71	#65780	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	#65779	C₂²	1	1	yes	characteristic
84	#65779	C₂²	1	1	yes	characteristic
85	#65779	C₂²	1	1	yes	characteristic
86	#65779	C₂²	1	1	yes	characteristic
87	#65779	C₂²	1	1	yes	characteristic
88	#65779	C₂²	1	1	yes	characteristic
89	#65779	C₂²	1	1	yes	characteristic
90	#65779	C₂²	1	1	yes	characteristic
91	#65765	C₂²	1	1	yes	characteristic
92	#65765	C₂²	1	1	yes	characteristic
93	#65765	C₂²	1	1	yes	characteristic
94	#65765	C₂²	1	1	yes	characteristic
95	#65765	C₂²	1	1	yes	characteristic
96	#65765	C₂²	1	1	yes	characteristic
97	#65764	C₂²	1	1	yes	characteristic
98	#65764	C₂²	1	1	yes	characteristic
99	#65764	C₂²	1	1	yes	characteristic
100	#65764	C₂²	1	1	yes	characteristic
101	#65764	C₂²	1	1	yes	characteristic
102	#65764	C₂²	1	1	yes	characteristic
103	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
104	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
105	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
106	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
107	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
108	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
109	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
110	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
111	#65712	C₂²	1	1	yes	characteristic
112	#65712	C₂²	1	1	yes	characteristic
113	#65712	C₂²	1	1	yes	characteristic
114	#65712	C₂²	1	1	yes	characteristic
115	#65712	C₂²	1	1	yes	characteristic
116	#65712	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	#65711	C₂²	1	1	yes	characteristic
142	#65711	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	#65700	C₂²	1	1	yes	characteristic
152	#65700	C₂²	1	1	yes	characteristic
153	#65700	C₂²	1	1	yes	characteristic
154	#65700	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	#65699	C₂²	1	1	yes	characteristic
174	#65699	C₂²	1	1	yes	characteristic
175	#65699	C₂²	1	1	yes	characteristic
176	#65699	C₂²	1	1	yes	characteristic
177	#65699	C₂²	1	1	yes	characteristic
178	#65699	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	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
184	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
185	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
186	C₂²⋊C₄×AGL(1,𝔽₅)	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	#65690	C₂²	1	1	yes	characteristic
192	#65690	C₂²	1	1	yes	characteristic
193	#65689	C₂²	1	1	yes	characteristic
194	#65689	C₂²	1	1	yes	characteristic
195	#65688	C₂²	1	1	yes	characteristic
196	C₄×C₄⋊AGL(1,𝔽₅)	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	#65686	C₂²	1	1	yes	characteristic
201	#65686	C₂²	1	1	yes	characteristic
202	#65686	C₂²	1	1	yes	characteristic
203	#34509	—	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	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
209	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₅	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	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	D₄×AGL(1,𝔽₅)	—	4	2	no	—
249	D₄×AGL(1,𝔽₅)	—	4	2	no	—
250	#4130	—	4	2	no	—
251	#4130	—	4	2	no	—
252	#4130	—	4	2	no	—
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	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)	—	4	2	no	—
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	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
292	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
293	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
294	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
295	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
296	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
297	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
298	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
299	C₅×#121	C₂×C₄	1	1	yes	characteristic
300	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
301	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
302	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
303	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
304	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
305	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
306	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
307	C₅×#117	C₂×C₄	1	1	yes	characteristic, complemented
308	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
309	#4085	C₂×C₄	1	1	yes	characteristic
310	#4085	C₂×C₄	1	1	yes	characteristic
311	#4085	C₂×C₄	1	1	yes	characteristic, complemented
312	#4085	C₂×C₄	1	1	yes	characteristic, complemented
313	#4085	C₂×C₄	1	1	yes	characteristic, complemented
314	#4085	C₂×C₄	1	1	yes	characteristic, complemented
315	#4085	C₂×C₄	1	1	yes	characteristic, complemented
316	#4085	C₂×C₄	1	1	yes	characteristic, complemented
317	#4084	C₂×C₄	1	1	yes	characteristic
318	#4084	C₂×C₄	1	1	yes	characteristic, complemented
319	#4084	C₂×C₄	1	1	yes	characteristic, complemented
320	#4084	C₂×C₄	1	1	yes	characteristic, complemented
321	#4081	C₂×C₄	1	1	yes	characteristic, complemented
322	#4081	C₂×C₄	1	1	yes	characteristic, complemented
323	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
324	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
325	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
326	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
327	#4076	C₂×C₄	1	1	yes	characteristic
328	#4076	C₂×C₄	1	1	yes	characteristic, complemented
329	#4076	C₂×C₄	1	1	yes	characteristic, complemented
330	#4076	C₂×C₄	1	1	yes	characteristic, complemented
331	#4075	C₂×C₄	1	1	yes	characteristic, complemented
332	#4075	C₂×C₄	1	1	yes	characteristic, complemented
333	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
334	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
335	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
336	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
337	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
338	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
339	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
340	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
341	#4072	C₂×C₄	1	1	yes	characteristic, complemented
342	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
343	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
344	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
345	#4044	C₂×C₄	1	1	yes	characteristic, complemented
346	#4044	C₂×C₄	1	1	yes	characteristic, complemented
347	#4044	C₂×C₄	1	1	yes	characteristic, complemented
348	#4044	C₂×C₄	1	1	yes	characteristic, complemented
349	#4044	C₂×C₄	1	1	yes	characteristic, complemented
350	#4044	C₂×C₄	1	1	yes	characteristic, complemented
351	#4041	C₂×C₄	1	1	yes	characteristic
352	#4041	C₂×C₄	1	1	yes	characteristic, complemented
353	#4041	C₂×C₄	1	1	yes	characteristic, complemented
354	#4041	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	#4040	C₂×C₄	1	1	yes	characteristic, complemented
358	#4040	C₂×C₄	1	1	yes	characteristic, complemented
359	#4039	C₂×C₄	1	1	yes	characteristic, complemented
360	#4039	C₂×C₄	1	1	yes	characteristic, complemented
361	#4039	C₂×C₄	1	1	yes	characteristic, complemented
362	#4039	C₂×C₄	1	1	yes	characteristic, complemented
363	#4038	C₂×C₄	1	1	yes	characteristic, complemented
364	#4038	C₂×C₄	1	1	yes	characteristic, complemented
365	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
366	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
367	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
368	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
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	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
378	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	#4032	C₂×C₄	1	1	yes	characteristic, complemented
386	#4032	C₂×C₄	1	1	yes	characteristic, complemented
387	#4030	C₂×C₄	1	1	yes	characteristic
388	#4030	C₂×C₄	1	1	yes	characteristic
389	#4030	C₂×C₄	1	1	yes	characteristic, complemented
390	#4030	C₂×C₄	1	1	yes	characteristic, complemented
391	#4030	C₂×C₄	1	1	yes	characteristic, complemented
392	#4030	C₂×C₄	1	1	yes	characteristic, complemented
393	#4030	C₂×C₄	1	1	yes	characteristic, complemented
394	#4030	C₂×C₄	1	1	yes	characteristic, complemented
395	#4029	C₂×C₄	1	1	yes	characteristic, complemented
396	#4029	C₂×C₄	1	1	yes	characteristic, complemented
397	#4029	C₂×C₄	1	1	yes	characteristic, complemented
398	#4029	C₂×C₄	1	1	yes	characteristic, complemented
399	#4027	C₂×C₄	1	1	yes	characteristic, complemented
400	#4027	C₂×C₄	1	1	yes	characteristic, complemented
401	#4027	C₂×C₄	1	1	yes	characteristic, complemented
402	#4027	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	#4023	C₂×C₄	1	1	yes	characteristic, complemented
424	#4023	C₂×C₄	1	1	yes	characteristic, complemented
425	#4022	C₂×C₄	1	1	yes	characteristic, complemented
426	#4022	C₂×C₄	1	1	yes	characteristic, complemented
427	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
428	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
429	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
430	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
431	#4018	C₂×C₄	1	1	yes	characteristic, complemented
432	#4018	C₂×C₄	1	1	yes	characteristic, complemented
433	C₄²×D₅	C₂³	1	1	yes	characteristic
434	C₄²×D₅	C₂³	1	1	yes	characteristic
435	C₄²×D₅	C₂³	1	1	yes	characteristic
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×#553	—	5	1	no	—
486	#2383	—	5	1	no	—
487	#2377	—	5	1	no	—
488	#2377	—	5	1	no	—
489	#2377	—	5	1	no	—
490	#2374	—	5	1	no	—
491	#2373	—	5	1	no	—
492	#2371	—	5	1	no	—
493	#2363	—	5	1	no	—
494	#2359	—	5	1	no	—
495	#2357	—	5	1	no	—
496	#2354	—	5	1	no	—
497	#2353	—	5	1	no	—
498	#2353	—	5	1	no	—
499	#2344	—	5	1	no	—
500	#2343	—	5	1	no	—
501	#2336	—	5	1	no	—
502	#2335	—	5	1	no	—
503	#2334	—	5	1	no	—
504	#2334	—	5	1	no	—
505	#2333	—	5	1	no	—
506	#2333	—	5	1	no	—
507	#2325	—	5	1	no	—
508	#2324	—	5	1	no	—
509	#2319	—	5	1	no	—
510	#2318	—	5	1	no	—
511	#2314	—	5	1	no	—
512	#2313	—	5	1	no	—
513	C₄×#123	—	5	1	no	—
514	#2290	—	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	C₂³×D₅	C₂⁴	1	1	yes	characteristic
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)	—	4	1	no	—
532	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
533	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
534	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
535	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
536	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
537	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
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	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
548	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
549	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
550	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
551	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
552	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
553	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
554	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
560	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
561	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
562	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
563	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
564	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
565	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
572	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
578	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
579	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
580	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
581	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
582	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
583	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
584	D₄×D₅	—	4	1	no	—
585	D₄×D₅	—	4	1	no	—
586	D₄×D₅	—	4	1	no	—
587	D₄×D₅	—	4	1	no	—
588	D₄×D₅	—	4	1	no	—
589	D₄×D₅	—	4	1	no	—
590	D₄×D₅	—	4	1	no	—
591	D₄×D₅	—	4	1	no	—
592	D₄×D₅	—	4	1	no	—
593	D₄×D₅	—	4	1	no	—
594	D₄×D₅	—	4	1	no	—
595	D₄×D₅	—	4	1	no	—
596	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
597	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
598	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
599	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
600	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
601	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₄×D₅	—	4	1	no	—
603	C₂×C₄×D₅	—	4	1	no	—
604	C₂×C₄×D₅	—	4	1	no	—
605	C₂×C₄×D₅	—	4	1	no	—
606	C₂×C₄×D₅	—	4	1	no	—
607	C₂×C₄×D₅	—	4	1	no	—
608	C₂×C₄×D₅	—	4	1	no	—
609	C₂×C₄×D₅	—	4	1	no	—
610	C₂×C₄×D₅	—	4	1	no	—
611	C₂×C₄×D₅	—	4	1	no	—
612	C₂×C₄×D₅	—	4	1	no	—
613	C₂×C₄×D₅	—	4	1	no	—
614	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
618	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
619	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
620	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
621	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
622	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
623	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
624	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
632	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
635	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
637	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
638	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
639	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
640	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
641	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
642	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
643	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
644	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
645	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
646	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
647	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
648	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
649	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
650	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
651	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
652	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
653	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
654	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
655	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
656	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
657	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
658	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
659	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
660	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
661	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
662	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
663	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
664	C₄⋊AGL(1,𝔽₅)	—	2	2	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	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
682	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
683	C₄×AGL(1,𝔽₅)	—	2	2	no	—
684	C₄×AGL(1,𝔽₅)	—	2	2	no	—
685	C₄×AGL(1,𝔽₅)	—	2	2	no	—
686	C₄×AGL(1,𝔽₅)	—	4	1	no	—
687	C₄×AGL(1,𝔽₅)	—	4	1	no	—
688	C₄×AGL(1,𝔽₅)	—	4	1	no	—
689	C₄×AGL(1,𝔽₅)	—	4	1	no	—
690	C₄×AGL(1,𝔽₅)	—	4	1	no	—
691	C₄×AGL(1,𝔽₅)	—	4	1	no	—
692	C₄×AGL(1,𝔽₅)	—	4	1	no	—
693	C₄×AGL(1,𝔽₅)	—	4	1	no	—
694	C₄×AGL(1,𝔽₅)	—	4	1	no	—
695	C₄×AGL(1,𝔽₅)	—	4	1	no	—
696	C₄×AGL(1,𝔽₅)	—	4	1	no	—
697	C₄×AGL(1,𝔽₅)	—	4	1	no	—
698	C₄×AGL(1,𝔽₅)	—	4	1	no	—
699	C₄×AGL(1,𝔽₅)	—	4	1	no	—
700	C₄×AGL(1,𝔽₅)	—	4	1	no	—
701	C₄×AGL(1,𝔽₅)	—	4	1	no	—
702	C₄×AGL(1,𝔽₅)	—	4	1	no	—
703	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
712	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
713	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
714	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
715	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
716	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
717	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
718	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
719	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
720	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
721	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
722	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
723	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
724	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
725	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
726	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
727	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
728	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
729	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
730	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
731	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
732	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
733	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
734	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
735	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
736	#685	C₂²×C₄	1	1	yes	characteristic
737	#685	C₂²×C₄	1	1	yes	characteristic
738	#685	C₂²×C₄	1	1	yes	characteristic
739	#685	C₂²×C₄	1	1	yes	characteristic
740	#685	C₂²×C₄	1	1	yes	characteristic
741	#685	C₂²×C₄	1	1	yes	characteristic
742	#685	C₂²×C₄	1	1	yes	characteristic
743	#685	C₂²×C₄	1	1	yes	characteristic
744	#685	C₂²×C₄	1	1	yes	characteristic
745	#685	C₂²×C₄	1	1	yes	characteristic
746	#685	C₂²×C₄	1	1	yes	characteristic
747	#685	C₂²×C₄	1	1	yes	characteristic
748	#685	C₂²×C₄	1	1	yes	characteristic
749	#685	C₂²×C₄	1	1	yes	characteristic
750	#685	C₂²×C₄	1	1	yes	characteristic
751	#685	C₂²×C₄	1	1	yes	characteristic
752	#685	C₂²×C₄	1	1	yes	characteristic
753	#685	C₂²×C₄	1	1	yes	characteristic
754	#685	C₂²×C₄	1	1	yes	characteristic
755	#685	C₂²×C₄	1	1	yes	characteristic
756	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
757	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
758	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
759	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
760	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
761	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
762	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
763	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
764	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
765	C₄⋊Dic₅	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	#683	C₂²×C₄	1	1	yes	characteristic
780	#683	C₂²×C₄	1	1	yes	characteristic
781	#683	C₂²×C₄	1	1	yes	characteristic
782	#683	C₂²×C₄	1	1	yes	characteristic
783	#683	C₂²×C₄	1	1	yes	characteristic
784	#683	C₂²×C₄	1	1	yes	characteristic
785	#683	C₂²×C₄	1	1	yes	characteristic
786	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
787	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
788	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
789	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
790	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
791	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
792	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
793	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
794	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
795	#553	—	5	1	no	—
796	#553	—	5	1	no	—
797	#553	—	5	1	no	—
798	#553	—	5	1	no	—
799	#553	—	5	1	no	—
800	#553	—	5	1	no	—
801	#553	—	5	1	no	—
802	#553	—	5	1	no	—
803	#553	—	5	1	no	—
804	#553	—	5	1	no	—
805	#553	—	5	1	no	—
806	#553	—	5	1	no	—
807	#553	—	5	1	no	—
808	#553	—	5	1	no	—
809	#553	—	5	1	no	—
810	#553	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
811	C₂×#126	—	5	1	no	—
812	C₂×#126	—	5	1	no	—
813	C₂×#125	—	5	1	no	—
814	C₂×#123	—	5	1	no	—
815	C₂×#123	—	5	1	no	—
816	C₂×#121	—	5	1	no	—
817	C₂×#121	—	5	1	no	—
818	C₂×#121	—	5	1	no	—
819	C₂×#121	—	5	1	no	—
820	C₂×C₄×D₄	—	5	1	no	—
821	C₂×C₄×D₄	—	5	1	no	—
822	C₂×C₄×D₄	—	5	1	no	—
823	C₂×C₄×D₄	—	5	1	no	—
824	C₂×C₄×D₄	—	5	1	no	—
825	C₂×C₄×D₄	—	5	1	no	—
826	C₂×#117	—	5	1	no	—
827	C₂×#117	—	5	1	no	—
828	C₂×#117	—	5	1	no	—
829	C₂×#117	—	5	1	no	—
830	C₂²×C₄⋊C₄	—	5	1	no	—
831	C₂²×C₄²	—	5	1	no	—
832	#390	—	5	1	no	—
833	#390	—	5	1	no	—
834	#390	—	5	1	no	—
835	#390	—	5	1	no	—
836	#390	—	5	1	no	—
837	#390	—	5	1	no	—
838	#390	—	5	1	no	—
839	#390	—	5	1	no	—
840	#389	—	5	1	no	—
841	#389	—	5	1	no	—
842	#389	—	5	1	no	—
843	#389	—	5	1	no	—
844	#389	—	5	1	no	—
845	#389	—	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	#386	—	5	1	no	—
895	#386	—	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	#386	—	5	1	no	—
903	#386	—	5	1	no	—
904	#386	—	5	1	no	—
905	#386	—	5	1	no	—
906	#386	—	5	1	no	—
907	#386	—	5	1	no	—
908	#385	—	5	1	no	—
909	#385	—	5	1	no	—
910	#385	—	5	1	no	—
911	#385	—	5	1	no	—
912	#385	—	5	1	no	—
913	#385	—	5	1	no	—
914	#385	—	5	1	no	—
915	#385	—	5	1	no	—
916	#385	—	5	1	no	—
917	#385	—	5	1	no	—
918	#384	—	5	1	no	—
919	#383	—	5	1	no	—
920	#383	—	5	1	no	—
921	#382	—	5	1	no	—
922	#382	—	5	1	no	—
923	#381	—	5	1	no	—
924	#381	—	5	1	no	—
925	#381	—	5	1	no	—
926	#381	—	5	1	no	—
927	#381	—	5	1	no	—
928	#381	—	5	1	no	—
929	#380	—	5	1	no	—
930	#380	—	5	1	no	—
931	#380	—	5	1	no	—
932	#380	—	5	1	no	—
933	#380	—	5	1	no	—
934	#380	—	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×C₄⋊C₄	—	5	1	no	—
941	C₄×C₄⋊C₄	—	5	1	no	—
942	C₄×C₄⋊C₄	—	5	1	no	—
943	C₄×C₄⋊C₄	—	5	1	no	—
944	C₄×C₄⋊C₄	—	5	1	no	—
945	C₄×C₄⋊C₄	—	5	1	no	—
946	C₄×C₄⋊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	C₄×C₂²⋊C₄	—	5	1	no	—
955	C₄×C₂²⋊C₄	—	5	1	no	—
956	C₄×C₂²⋊C₄	—	5	1	no	—
957	C₄×C₂²⋊C₄	—	5	1	no	—
958	C₄×C₂²⋊C₄	—	5	1	no	—
959	C₄×C₂²⋊C₄	—	5	1	no	—
960	C₄×C₂²⋊C₄	—	5	1	no	—
961	#376	—	5	1	no	—
962	#376	—	5	1	no	—
963	#376	—	5	1	no	—
964	C₂×#95	—	5	1	no	—
965	C₂×#95	—	5	1	no	—
966	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
967	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
968	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
969	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	no	—
978	C₂²×D₅	—	2	1	no	—
979	C₂²×D₅	—	2	1	no	—
980	C₂²×D₅	—	2	1	no	—
981	C₂²×D₅	—	2	1	no	—
982	C₂²×D₅	—	2	1	no	—
983	C₂²×D₅	—	2	1	no	—
984	C₂²×D₅	—	2	1	no	—
985	C₂²×D₅	—	2	1	no	—
986	C₂²×D₅	—	2	1	no	—
987	C₂²×D₅	—	2	1	no	—
988	C₂²×D₅	—	2	1	no	—
989	C₂²×D₅	—	2	1	no	—
990	C₂²×D₅	—	2	1	no	—
991	C₂²×D₅	—	2	1	no	—
992	C₂²×D₅	—	2	1	no	—
993	C₂²×D₅	—	2	1	no	—
994	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
995	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
996	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
997	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
998	C₂²×D₅	C₂⁵	1	1	yes	characteristic
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)	—	2	1	no	—
1028	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1029	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1030	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1031	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1032	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1033	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1034	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1035	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1036	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1037	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1038	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1039	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1040	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1041	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1042	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1043	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1044	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1045	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1046	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1047	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1048	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1049	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1050	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1051	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1052	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1053	C₅×D₄	—	4	1	no	—
1054	C₅×D₄	—	4	1	no	—
1055	C₅×D₄	—	4	1	no	—
1056	C₅×D₄	—	4	1	no	—
1057	C₅×D₄	—	4	1	no	—
1058	C₅×D₄	—	4	1	no	—
1059	C₂×C₄×C₅	—	4	1	no	—
1060	C₂×C₄×C₅	—	4	1	no	—
1061	C₂×C₄×C₅	—	4	1	no	—
1062	C₂×C₄×C₅	—	4	1	no	—
1063	C₂×C₄×C₅	—	4	1	no	—
1064	C₂×C₄×C₅	—	4	1	no	—
1065	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1066	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1067	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1068	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1069	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1070	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1071	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1072	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1073	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1074	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1075	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1076	C₂²⋊D₅	—	4	1	no	—
1077	C₂²⋊D₅	—	4	1	no	—
1078	C₂²⋊D₅	—	4	1	no	—
1079	C₂²⋊D₅	—	4	1	no	—
1080	C₂²⋊D₅	—	4	1	no	—
1081	C₂²⋊D₅	—	4	1	no	—
1082	C₂²⋊D₅	—	4	1	no	—
1083	C₂²⋊D₅	—	4	1	no	—
1084	C₂²⋊D₅	—	4	1	no	—
1085	C₂²⋊D₅	—	4	1	no	—
1086	C₂²⋊D₅	—	4	1	no	—
1087	C₂²⋊D₅	—	4	1	no	—
1088	C₂×Dic₅	—	4	1	no	—
1089	C₂×Dic₅	—	4	1	no	—
1090	C₂×Dic₅	—	4	1	no	—
1091	C₂×Dic₅	—	4	1	no	—
1092	C₂×Dic₅	—	4	1	no	—
1093	C₂×Dic₅	—	4	1	no	—
1094	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1095	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1096	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1097	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1098	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1099	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1100	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1101	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1102	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1103	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1104	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1105	D₂₀	—	4	1	no	—
1106	D₂₀	—	4	1	no	—
1107	D₂₀	—	4	1	no	—
1108	D₂₀	—	4	1	no	—
1109	D₂₀	—	4	1	no	—
1110	D₂₀	—	4	1	no	—
1111	C₄×D₅	—	2	1	no	—
1112	C₄×D₅	—	2	1	no	—
1113	C₄×D₅	—	2	1	no	—
1114	C₄×D₅	—	2	1	no	—
1115	C₄×D₅	—	2	1	no	—
1116	C₄×D₅	—	2	1	no	—
1117	C₄×D₅	—	2	1	no	—
1118	C₄×D₅	—	2	1	no	—
1119	C₄×D₅	—	2	1	no	—
1120	C₄×D₅	—	2	1	no	—
1121	C₄×D₅	—	2	1	no	—
1122	C₄×D₅	—	2	1	no	—
1123	C₄×D₅	—	2	1	no	—
1124	C₄×D₅	—	2	1	no	—
1125	C₄×D₅	—	2	1	no	—
1126	C₄×D₅	—	2	1	no	—
1127	C₄×D₅	—	2	1	no	—
1128	C₄×D₅	—	2	1	no	—
1129	C₄×D₅	—	2	1	no	—
1130	C₄×D₅	—	2	1	no	—
1131	C₄×D₅	—	2	1	no	—
1132	C₄×D₅	—	2	1	no	—
1133	C₄×D₅	—	4	1	no	—
1134	C₄×D₅	—	4	1	no	—
1135	C₄×D₅	—	4	1	no	—
1136	C₄×D₅	—	4	1	no	—
1137	C₄×D₅	—	4	1	no	—
1138	C₄×D₅	—	4	1	no	—
1139	C₄×D₅	—	4	1	no	—
1140	C₄×D₅	—	4	1	no	—
1141	C₄×D₅	—	4	1	no	—
1142	C₄×D₅	—	4	1	no	—
1143	C₄×D₅	—	4	1	no	—
1144	C₄×D₅	—	4	1	no	—
1145	C₂²×D₄	—	5	1	no	—
1146	C₂²×D₄	—	5	1	no	—
1147	C₂²×D₄	—	5	1	no	—
1148	C₂²×D₄	—	5	1	no	—
1149	C₂²×D₄	—	5	1	no	—
1150	C₂²×D₄	—	5	1	no	—
1151	C₂³×C₄	—	5	1	no	—
1152	C₂³×C₄	—	5	1	no	—
1153	C₂³×C₄	—	5	1	no	—
1154	C₂³×C₄	—	5	1	no	—
1155	C₂³×C₄	—	5	1	no	—
1156	C₂³×C₄	—	5	1	no	—
1157	C₂³×C₄	—	5	1	no	—
1158	C₂³×C₄	—	5	1	no	—
1159	C₂³×C₄	—	5	1	no	—
1160	C₂³×C₄	—	5	1	no	—
1161	C₂³×C₄	—	5	1	no	—
1162	C₂³×C₄	—	5	1	no	—
1163	#126	—	5	1	no	—
1164	#126	—	5	1	no	—
1165	#126	—	5	1	no	—
1166	#126	—	5	1	no	—
1167	#126	—	5	1	no	—
1168	#126	—	5	1	no	—
1169	#126	—	5	1	no	—
1170	#126	—	5	1	no	—
1171	#126	—	5	1	no	—
1172	#126	—	5	1	no	—
1173	#126	—	5	1	no	—
1174	#126	—	5	1	no	—
1175	#126	—	5	1	no	—
1176	#126	—	5	1	no	—
1177	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1178	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1179	#125	—	5	1	no	—
1180	#125	—	5	1	no	—
1181	#125	—	5	1	no	—
1182	#125	—	5	1	no	—
1183	#125	—	5	1	no	—
1184	#125	—	5	1	no	—
1185	#125	—	5	1	no	—
1186	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1187	#123	—	5	1	no	—
1188	#123	—	5	1	no	—
1189	#123	—	5	1	no	—
1190	#123	—	5	1	no	—
1191	#123	—	5	1	no	—
1192	#123	—	5	1	no	—
1193	#123	—	5	1	no	—
1194	#123	—	5	1	no	—
1195	#123	—	5	1	no	—
1196	#123	—	5	1	no	—
1197	#123	—	5	1	no	—
1198	#123	—	5	1	no	—
1199	#123	—	5	1	no	—
1200	#123	—	5	1	no	—
1201	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1202	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1203	#121	—	5	1	no	—
1204	#121	—	5	1	no	—
1205	#121	—	5	1	no	—
1206	#121	—	5	1	no	—
1207	#121	—	5	1	no	—
1208	#121	—	5	1	no	—
1209	#121	—	5	1	no	—
1210	#121	—	5	1	no	—
1211	#121	—	5	1	no	—
1212	#121	—	5	1	no	—
1213	#121	—	5	1	no	—
1214	#121	—	5	1	no	—
1215	#121	—	5	1	no	—
1216	#121	—	5	1	no	—
1217	#121	—	5	1	no	—
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	—	5	1	no	—
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	5	1	no	—
1231	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1232	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1233	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1234	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1242	C₄×D₄	—	5	1	no	—
1243	C₄×D₄	—	5	1	no	—
1244	C₄×D₄	—	5	1	no	—
1245	C₄×D₄	—	5	1	no	—
1246	C₄×D₄	—	5	1	no	—
1247	C₄×D₄	—	5	1	no	—
1248	C₄×D₄	—	5	1	no	—
1249	C₄×D₄	—	5	1	no	—
1250	C₄×D₄	—	5	1	no	—
1251	C₄×D₄	—	5	1	no	—
1252	C₄×D₄	—	5	1	no	—
1253	C₄×D₄	—	5	1	no	—
1254	C₄×D₄	—	5	1	no	—
1255	C₄×D₄	—	5	1	no	—
1256	C₄×D₄	—	5	1	no	—
1257	C₄×D₄	—	5	1	no	—
1258	C₄×D₄	—	5	1	no	—
1259	C₄×D₄	—	5	1	no	—
1260	C₄×D₄	—	5	1	no	—
1261	C₄×D₄	—	5	1	no	—
1262	C₄×D₄	—	5	1	no	—
1263	C₄×D₄	—	20	2	no	—
1264	C₄×D₄	—	20	2	no	—
1265	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1266	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1267	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1268	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1269	#117	—	5	1	no	—
1270	#117	—	5	1	no	—
1271	#117	—	5	1	no	—
1272	#117	—	5	1	no	—
1273	#117	—	5	1	no	—
1274	#117	—	5	1	no	—
1275	#117	—	5	1	no	—
1276	#117	—	20	2	no	—
1277	#117	—	20	2	no	—
1278	#117	—	20	2	no	—
1279	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1292	C₂×C₄⋊C₄	—	5	1	no	—
1293	C₂×C₄⋊C₄	—	5	1	no	—
1294	C₂×C₄⋊C₄	—	5	1	no	—
1295	C₂×C₄⋊C₄	—	5	1	no	—
1296	C₂×C₄⋊C₄	—	5	1	no	—
1297	C₂×C₄⋊C₄	—	5	1	no	—
1298	C₂×C₄⋊C₄	—	5	1	no	—
1299	C₂×C₄⋊C₄	—	5	1	no	—
1300	C₂×C₄⋊C₄	—	5	1	no	—
1301	C₂×C₄⋊C₄	—	5	1	no	—
1302	C₂×C₄⋊C₄	—	5	1	no	—
1303	C₂×C₄⋊C₄	—	5	1	no	—
1304	C₂×C₄⋊C₄	—	5	1	no	—
1305	C₂×C₄⋊C₄	—	5	1	no	—
1306	C₂×C₄⋊C₄	—	5	1	no	—
1307	C₂×C₄⋊C₄	—	5	1	no	—
1308	C₂×C₄⋊C₄	—	5	1	no	—
1309	C₂×C₄⋊C₄	—	5	1	no	—
1310	C₂×C₄⋊C₄	—	5	1	no	—
1311	C₂×C₄⋊C₄	—	5	1	no	—
1312	C₂×C₄⋊C₄	—	5	1	no	—
1313	C₂×C₄⋊C₄	—	5	1	no	—
1314	C₂×C₄⋊C₄	—	5	1	no	—
1315	C₂×C₄⋊C₄	—	5	1	no	—
1316	C₂×C₄⋊C₄	—	5	1	no	—
1317	C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
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×C₂²⋊C₄	—	5	1	no	—
1324	C₂×C₂²⋊C₄	—	5	1	no	—
1325	C₂×C₂²⋊C₄	—	5	1	no	—
1326	C₂×C₂²⋊C₄	—	5	1	no	—
1327	C₂×C₂²⋊C₄	—	5	1	no	—
1328	C₂×C₂²⋊C₄	—	5	1	no	—
1329	C₂×C₂²⋊C₄	—	5	1	no	—
1330	C₂×C₂²⋊C₄	—	5	1	no	—
1331	C₂×C₂²⋊C₄	—	5	1	no	—
1332	C₂×C₂²⋊C₄	—	5	1	no	—
1333	C₂×C₂²⋊C₄	—	5	1	no	—
1334	C₂×C₂²⋊C₄	—	5	1	no	—
1335	C₂×C₂²⋊C₄	—	5	1	no	—
1336	C₂×C₂²⋊C₄	—	5	1	no	—
1337	C₂×C₂²⋊C₄	—	5	1	no	—
1338	C₂×C₂²⋊C₄	—	5	1	no	—
1339	C₂×C₂²⋊C₄	—	5	1	no	—
1340	C₂×C₂²⋊C₄	—	5	1	no	—
1341	C₂×C₂²⋊C₄	—	5	1	no	—
1342	C₂×C₂²⋊C₄	—	5	1	no	—
1343	C₂×C₂²⋊C₄	—	5	1	no	—
1344	C₂×C₂²⋊C₄	—	5	1	no	—
1345	C₂×C₂²⋊C₄	—	5	1	no	—
1346	C₂×C₂²⋊C₄	—	5	1	no	—
1347	C₂×C₂²⋊C₄	—	5	1	no	—
1348	C₂×C₂²⋊C₄	—	5	1	no	—
1349	C₂×C₂²⋊C₄	—	5	1	no	—
1350	C₂×C₂²⋊C₄	—	5	1	no	—
1351	C₂×C₂²⋊C₄	—	5	1	no	—
1352	C₂×C₂²⋊C₄	—	5	1	no	—
1353	C₂×C₂²⋊C₄	—	5	1	no	—
1354	C₂×C₄²	—	5	1	no	—
1355	C₂×C₄²	—	5	1	no	—
1356	C₂×C₄²	—	5	1	no	—
1357	C₂×C₄²	—	5	1	no	—
1358	C₂×C₄²	—	5	1	no	—
1359	C₂×C₄²	—	5	1	no	—
1360	C₂×C₄²	—	5	1	no	—
1361	C₂×C₄²	—	5	1	no	—
1362	C₂×C₄²	—	5	1	no	—
1363	C₂×C₄²	—	5	1	no	—
1364	C₂×C₄²	—	5	1	no	—
1365	C₂×C₄²	—	5	1	no	—
1366	C₂×C₄²	—	5	1	no	—
1367	C₂×C₄²	—	5	1	no	—
1368	C₂×C₄²	—	5	1	no	—
1369	C₂×C₄²	—	5	1	no	—
1370	C₂×C₄²	—	5	1	no	—
1371	C₂×C₄²	—	5	1	no	—
1372	C₂×C₄²	—	5	1	no	—
1373	C₂×C₄²	—	5	1	no	—
1374	C₂×C₄²	—	5	1	no	—
1375	C₂×C₄²	—	5	1	no	—
1376	C₂×C₄²	—	5	1	no	—
1377	C₂×C₄²	—	20	2	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	#95	—	5	1	no	—
1399	#95	—	5	1	no	—
1400	#95	—	5	1	no	—
1401	#95	—	5	1	no	—
1402	#95	—	5	1	no	—
1403	#95	—	5	1	no	—
1404	#95	—	5	1	no	—
1405	#95	—	5	1	no	—
1406	#95	—	5	1	no	—
1407	#95	—	5	1	no	—
1408	#95	—	5	1	no	—
1409	#95	—	5	1	no	—
1410	#95	—	5	1	no	—
1411	#95	—	5	1	no	—
1412	#95	—	5	1	no	—
1413	#95	—	5	1	no	—
1414	#95	—	5	1	no	—
1415	#95	—	5	1	no	—
1416	#95	—	5	1	no	—
1417	#95	—	5	1	no	—
1418	#95	—	5	1	no	—
1419	#95	—	5	1	no	—
1420	#95	—	5	1	no	—
1421	#95	—	5	1	no	—
1422	#95	—	5	1	no	—
1423	#95	—	5	1	no	—
1424	#95	—	5	1	no	—
1425	#95	—	5	1	no	—
1426	C₂²×C₅	—	2	1	no	—
1427	C₂²×C₅	—	2	1	no	—
1428	C₂²×C₅	—	2	1	no	—
1429	C₂²×C₅	—	2	1	no	—
1430	C₂²×C₅	—	2	1	no	—
1431	C₂²×C₅	—	2	1	no	—
1432	C₂²×C₅	—	2	1	no	—
1433	C₂²×C₅	—	2	1	no	—
1434	C₂²×C₅	—	2	1	no	—
1435	C₂²×C₅	—	2	1	no	—
1436	C₂²×C₅	—	2	1	no	—
1437	C₂²×C₅	—	2	1	no	—
1438	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1439	C₂×D₅	—	2	1	no	—
1440	C₂×D₅	—	2	1	no	—
1441	C₂×D₅	—	2	1	no	—
1442	C₂×D₅	—	2	1	no	—
1443	C₂×D₅	—	2	1	no	—
1444	C₂×D₅	—	2	1	no	—
1445	C₂×D₅	—	2	1	no	—
1446	C₂×D₅	—	2	1	no	—
1447	C₂×D₅	—	2	1	no	—
1448	C₂×D₅	—	2	1	no	—
1449	C₂×D₅	—	2	1	no	—
1450	C₂×D₅	—	2	1	no	—
1451	C₂×D₅	—	4	1	no	—
1452	C₂×D₅	—	4	1	no	—
1453	C₂×D₅	—	4	1	no	—
1454	C₂×D₅	—	4	1	no	—
1455	C₂×D₅	—	4	1	no	—
1456	C₂×D₅	—	4	1	no	—
1457	C₂×D₅	—	4	1	no	—
1458	C₂×D₅	—	4	1	no	—
1459	C₂×D₅	—	4	1	no	—
1460	C₂×D₅	—	4	1	no	—
1461	C₂×D₅	—	4	1	no	—
1462	C₂×D₅	—	4	1	no	—
1463	C₂×D₅	—	4	1	no	—
1464	C₂×D₅	—	4	1	no	—
1465	C₂×D₅	—	4	1	no	—
1466	C₂×D₅	—	4	1	no	—
1467	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1468	C₂×D₅	#585	1	1	yes	characteristic
1469	C₂×D₅	#585	1	1	yes	characteristic
1470	C₂×D₅	#585	1	1	yes	characteristic
1471	C₂×D₅	#585	1	1	yes	characteristic
1472	C₂×D₅	#585	1	1	yes	characteristic
1473	AGL(1,𝔽₅)	—	2	2	no	—
1474	AGL(1,𝔽₅)	—	4	1	no	—
1475	AGL(1,𝔽₅)	—	4	1	no	—
1476	AGL(1,𝔽₅)	—	4	1	no	—
1477	AGL(1,𝔽₅)	—	4	1	no	—
1478	AGL(1,𝔽₅)	—	4	1	no	—
1479	AGL(1,𝔽₅)	—	4	1	no	—
1480	AGL(1,𝔽₅)	—	4	1	no	—
1481	AGL(1,𝔽₅)	—	4	1	no	—
1482	AGL(1,𝔽₅)	—	4	1	no	—
1483	AGL(1,𝔽₅)	—	4	1	no	—
1484	AGL(1,𝔽₅)	—	4	1	no	—
1485	AGL(1,𝔽₅)	—	4	1	no	—
1486	AGL(1,𝔽₅)	—	4	1	no	—
1487	AGL(1,𝔽₅)	—	4	1	no	—
1488	AGL(1,𝔽₅)	—	4	1	no	—
1489	C₄×C₅	—	2	1	no	—
1490	C₄×C₅	—	2	1	no	—
1491	C₄×C₅	—	2	1	no	—
1492	C₄×C₅	—	2	1	no	—
1493	C₄×C₅	—	2	1	no	—
1494	C₄×C₅	—	2	1	no	—
1495	C₄×C₅	—	2	1	no	—
1496	C₄×C₅	—	2	1	no	—
1497	C₄×C₅	—	2	1	no	—
1498	C₄×C₅	—	2	1	no	—
1499	C₄×C₅	—	2	1	no	—
1500	Dic₅	—	2	1	no	—
1501	Dic₅	—	2	1	no	—
1502	Dic₅	—	2	1	no	—
1503	Dic₅	—	2	1	no	—
1504	Dic₅	—	2	1	no	—
1505	Dic₅	—	2	1	no	—
1506	Dic₅	—	2	1	no	—
1507	Dic₅	—	2	1	no	—
1508	Dic₅	—	2	1	no	—
1509	Dic₅	—	2	1	no	—
1510	Dic₅	—	2	1	no	—
1511	C₂⁴	—	5	1	no	—
1512	C₂⁴	—	5	1	no	—
1513	C₂⁴	—	5	1	no	—
1514	C₂⁴	—	5	1	no	—
1515	C₂×D₄	—	5	1	no	—
1516	C₂×D₄	—	5	1	no	—
1517	C₂×D₄	—	5	1	no	—
1518	C₂×D₄	—	5	1	no	—
1519	C₂×D₄	—	5	1	no	—
1520	C₂×D₄	—	5	1	no	—
1521	C₂×D₄	—	5	1	no	—
1522	C₂×D₄	—	5	1	no	—
1523	C₂×D₄	—	5	1	no	—
1524	C₂×D₄	—	5	1	no	—
1525	C₂×D₄	—	5	1	no	—
1526	C₂×D₄	—	5	1	no	—
1527	C₂×D₄	—	5	1	no	—
1528	C₂×D₄	—	5	1	no	—
1529	C₂×D₄	—	5	1	no	—
1530	C₂×D₄	—	5	1	no	—
1531	C₂×D₄	—	5	1	no	—
1532	C₂×D₄	—	5	1	no	—
1533	C₂×D₄	—	20	1	no	—
1534	C₂×D₄	—	20	1	no	—
1535	C₂×D₄	—	20	1	no	—
1536	C₂×D₄	—	20	1	no	—
1537	C₂×D₄	—	20	1	no	—
1538	C₂×D₄	—	20	1	no	—
1539	C₂×D₄	—	20	1	no	—
1540	C₂×D₄	—	20	1	no	—
1541	C₂×D₄	—	20	1	no	—
1542	C₂×D₄	—	20	1	no	—
1543	C₂×D₄	—	20	1	no	—
1544	C₂×D₄	—	20	1	no	—
1545	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1546	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1547	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1548	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1549	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1550	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
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	—	5	1	no	—
1565	C₂²×C₄	—	5	1	no	—
1566	C₂²×C₄	—	5	1	no	—
1567	C₂²×C₄	—	5	1	no	—
1568	C₂²×C₄	—	5	1	no	—
1569	C₂²×C₄	—	5	1	no	—
1570	C₂²×C₄	—	5	1	no	—
1571	C₂²×C₄	—	5	1	no	—
1572	C₂²×C₄	—	5	1	no	—
1573	C₂²×C₄	—	5	1	no	—
1574	C₂²×C₄	—	5	1	no	—
1575	C₂²×C₄	—	5	1	no	—
1576	C₂²×C₄	—	5	1	no	—
1577	C₂²×C₄	—	5	1	no	—
1578	C₂²×C₄	—	5	1	no	—
1579	C₂²×C₄	—	5	1	no	—
1580	C₂²×C₄	—	5	1	no	—
1581	C₂²×C₄	—	5	1	no	—
1582	C₂²×C₄	—	5	1	no	—
1583	C₂²×C₄	—	5	1	no	—
1584	C₂²×C₄	—	5	1	no	—
1585	C₂²×C₄	—	5	1	no	—
1586	C₂²×C₄	—	5	1	no	—
1587	C₂²×C₄	—	5	1	no	—
1588	C₂²×C₄	—	5	1	no	—
1589	C₂²×C₄	—	5	1	no	—
1590	C₂²×C₄	—	5	1	no	—
1591	C₂²×C₄	—	5	1	no	—
1592	C₂²×C₄	—	5	1	no	—
1593	C₂²×C₄	—	5	1	no	—
1594	C₂²×C₄	—	5	1	no	—
1595	C₂²×C₄	—	5	1	no	—
1596	C₂²×C₄	—	10	2	no	—
1597	C₂²×C₄	—	10	2	no	—
1598	C₂²×C₄	—	20	1	no	—
1599	C₂²×C₄	—	20	1	no	—
1600	C₂²×C₄	—	20	1	no	—
1601	C₂²×C₄	—	20	1	no	—
1602	C₂²×C₄	—	20	1	no	—
1603	C₂²×C₄	—	20	1	no	—
1604	C₂²×C₄	—	20	1	no	—
1605	C₂²×C₄	—	20	1	no	—
1606	C₂²×C₄	—	20	1	no	—
1607	C₂²×C₄	—	20	1	no	—
1608	C₂²×C₄	—	20	1	no	—
1609	C₂²×C₄	—	20	1	no	—
1610	C₂²×C₄	—	20	1	no	—
1611	C₂²×C₄	—	20	1	no	—
1612	C₂²×C₄	—	20	1	no	—
1613	C₂²×C₄	—	20	1	no	—
1614	C₂²×C₄	—	20	1	no	—
1615	C₂²×C₄	—	20	1	no	—
1616	C₂²×C₄	—	20	1	no	—
1617	C₂²×C₄	—	20	1	no	—
1618	C₂²×C₄	—	20	1	no	—
1619	C₂²×C₄	—	20	1	no	—
1620	C₂²×C₄	—	20	1	no	—
1621	C₂²×C₄	—	20	1	no	—
1622	C₂²×C₄	—	20	1	no	—
1623	C₂²×C₄	—	20	1	no	—
1624	C₂²×C₄	—	20	1	no	—
1625	C₂²×C₄	—	20	1	no	—
1626	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1627	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1628	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1629	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1630	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1631	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1632	C₄⋊C₄	—	5	1	no	—
1633	C₄⋊C₄	—	5	1	no	—
1634	C₄⋊C₄	—	5	1	no	—
1635	C₄⋊C₄	—	5	1	no	—
1636	C₄⋊C₄	—	5	1	no	—
1637	C₄⋊C₄	—	5	1	no	—
1638	C₄⋊C₄	—	5	1	no	—
1639	C₄⋊C₄	—	5	1	no	—
1640	C₄⋊C₄	—	5	1	no	—
1641	C₄⋊C₄	—	5	1	no	—
1642	C₄⋊C₄	—	5	1	no	—
1643	C₄⋊C₄	—	5	1	no	—
1644	C₄⋊C₄	—	5	1	no	—
1645	C₄⋊C₄	—	5	1	no	—
1646	C₄⋊C₄	—	5	1	no	—
1647	C₄⋊C₄	—	5	1	no	—
1648	C₄⋊C₄	—	5	1	no	—
1649	C₄⋊C₄	—	5	1	no	—
1650	C₄⋊C₄	—	5	1	no	—
1651	C₄⋊C₄	—	5	1	no	—
1652	C₄⋊C₄	—	5	1	no	—
1653	C₄⋊C₄	—	5	1	no	—
1654	C₄⋊C₄	—	5	1	no	—
1655	C₄⋊C₄	—	5	1	no	—
1656	C₄⋊C₄	—	5	1	no	—
1657	C₄⋊C₄	—	5	1	no	—
1658	C₄⋊C₄	—	5	1	no	—
1659	C₄⋊C₄	—	5	1	no	—
1660	C₄⋊C₄	—	5	1	no	—
1661	C₄⋊C₄	—	5	1	no	—
1662	C₄⋊C₄	—	10	2	no	—
1663	C₄⋊C₄	—	10	2	no	—
1664	C₄⋊C₄	—	20	1	no	—
1665	C₄⋊C₄	—	20	1	no	—
1666	C₄⋊C₄	—	20	1	no	—
1667	C₄⋊C₄	—	20	1	no	—
1668	C₄⋊C₄	—	20	1	no	—
1669	C₄⋊C₄	—	20	1	no	—
1670	C₄⋊C₄	—	20	1	no	—
1671	C₄⋊C₄	—	20	1	no	—
1672	C₄⋊C₄	—	20	1	no	—
1673	C₄⋊C₄	—	20	1	no	—
1674	C₄⋊C₄	—	20	1	no	—
1675	C₄⋊C₄	—	20	1	no	—
1676	C₄⋊C₄	—	20	1	no	—
1677	C₄⋊C₄	—	20	1	no	—
1678	C₄⋊C₄	—	20	1	no	—
1679	C₄⋊C₄	—	20	1	no	—
1680	C₄⋊C₄	—	20	1	no	—
1681	C₄⋊C₄	—	20	1	no	—
1682	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1683	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1684	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1685	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1686	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1687	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1688	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1689	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1690	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1691	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1692	C₂²⋊C₄	—	5	1	no	—
1693	C₂²⋊C₄	—	5	1	no	—
1694	C₂²⋊C₄	—	5	1	no	—
1695	C₂²⋊C₄	—	5	1	no	—
1696	C₂²⋊C₄	—	5	1	no	—
1697	C₂²⋊C₄	—	5	1	no	—
1698	C₂²⋊C₄	—	5	1	no	—
1699	C₂²⋊C₄	—	5	1	no	—
1700	C₂²⋊C₄	—	5	1	no	—
1701	C₂²⋊C₄	—	5	1	no	—
1702	C₂²⋊C₄	—	5	1	no	—
1703	C₂²⋊C₄	—	5	1	no	—
1704	C₂²⋊C₄	—	5	1	no	—
1705	C₂²⋊C₄	—	5	1	no	—
1706	C₂²⋊C₄	—	5	1	no	—
1707	C₂²⋊C₄	—	5	1	no	—
1708	C₂²⋊C₄	—	5	1	no	—
1709	C₂²⋊C₄	—	5	1	no	—
1710	C₂²⋊C₄	—	5	1	no	—
1711	C₂²⋊C₄	—	5	1	no	—
1712	C₂²⋊C₄	—	5	1	no	—
1713	C₂²⋊C₄	—	5	1	no	—
1714	C₂²⋊C₄	—	5	1	no	—
1715	C₂²⋊C₄	—	5	1	no	—
1716	C₂²⋊C₄	—	5	1	no	—
1717	C₂²⋊C₄	—	5	1	no	—
1718	C₂²⋊C₄	—	5	1	no	—
1719	C₂²⋊C₄	—	5	1	no	—
1720	C₂²⋊C₄	—	5	1	no	—
1721	C₂²⋊C₄	—	5	1	no	—
1722	C₂²⋊C₄	—	10	2	no	—
1723	C₂²⋊C₄	—	10	2	no	—
1724	C₂²⋊C₄	—	20	1	no	—
1725	C₂²⋊C₄	—	20	1	no	—
1726	C₂²⋊C₄	—	20	1	no	—
1727	C₂²⋊C₄	—	20	1	no	—
1728	C₂²⋊C₄	—	20	1	no	—
1729	C₂²⋊C₄	—	20	1	no	—
1730	C₂²⋊C₄	—	20	1	no	—
1731	C₂²⋊C₄	—	20	1	no	—
1732	C₂²⋊C₄	—	20	1	no	—
1733	C₂²⋊C₄	—	20	1	no	—
1734	C₂²⋊C₄	—	20	1	no	—
1735	C₂²⋊C₄	—	20	1	no	—
1736	C₂²⋊C₄	—	20	1	no	—
1737	C₂²⋊C₄	—	20	1	no	—
1738	C₂²⋊C₄	—	20	1	no	—
1739	C₂²⋊C₄	—	20	1	no	—
1740	C₂²⋊C₄	—	20	1	no	—
1741	C₂²⋊C₄	—	20	1	no	—
1742	C₂²⋊C₄	—	20	1	no	—
1743	C₂²⋊C₄	—	20	1	no	—
1744	C₂²⋊C₄	—	20	1	no	—
1745	C₂²⋊C₄	—	20	1	no	—
1746	C₂²⋊C₄	—	20	1	no	—
1747	C₂²⋊C₄	—	20	1	no	—
1748	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1749	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1750	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1751	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1752	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1753	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1754	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1755	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1756	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1757	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1758	C₄²	—	5	1	no	—
1759	C₄²	—	5	1	no	—
1760	C₄²	—	5	1	no	—
1761	C₄²	—	5	1	no	—
1762	C₄²	—	5	1	no	—
1763	C₄²	—	5	1	no	—
1764	C₄²	—	5	1	no	—
1765	C₄²	—	5	1	no	—
1766	C₄²	—	5	1	no	—
1767	C₄²	—	10	2	no	—
1768	C₄²	—	10	2	no	—
1769	C₄²	—	10	2	no	—
1770	C₄²	—	20	1	no	—
1771	C₄²	—	20	1	no	—
1772	C₄²	—	20	1	no	—
1773	C₄²	—	20	1	no	—
1774	C₄²	—	20	1	no	—
1775	C₄²	—	20	1	no	—
1776	C₄²	—	20	1	no	—
1777	C₄²	—	20	1	no	—
1778	C₄²	—	20	1	no	—
1779	C₄²	—	20	1	no	—
1780	C₄²	—	20	1	no	—
1781	C₄²	—	20	1	no	—
1782	C₄²	—	20	1	no	—
1783	C₄²	—	20	1	no	—
1784	C₄²	—	20	1	no	—
1785	C₄²	—	20	1	no	—
1786	C₄²	—	20	1	no	—
1787	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1788	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1789	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1790	C₂×C₅	—	4	1	no	—
1791	C₂×C₅	—	4	1	no	—
1792	C₂×C₅	—	4	1	no	—
1793	C₂×C₅	—	4	1	no	—
1794	C₂×C₅	#3428	1	1	yes	characteristic
1795	C₂×C₅	#3428	1	1	yes	characteristic
1796	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1797	D₅	—	4	1	no	—
1798	D₅	—	4	1	no	—
1799	D₅	—	4	1	no	—
1800	D₅	—	4	1	no	—
1801	D₅	#3533	1	1	yes	characteristic
1802	D₅	#3539	1	1	yes	characteristic
1803	D₅	#3566	1	1	yes	characteristic
1804	D₅	#3566	1	1	yes	characteristic
1805	C₂³	—	5	1	no	—
1806	C₂³	—	5	1	no	—
1807	C₂³	—	5	1	no	—
1808	C₂³	—	5	1	no	—
1809	C₂³	—	5	1	no	—
1810	C₂³	—	10	1	no	—
1811	C₂³	—	10	1	no	—
1812	C₂³	—	10	1	no	—
1813	C₂³	—	10	1	no	—
1814	C₂³	—	10	1	no	—
1815	C₂³	—	10	1	no	—
1816	C₂³	—	10	1	no	—
1817	C₂³	—	10	1	no	—
1818	C₂³	—	10	1	no	—
1819	C₂³	—	10	1	no	—
1820	C₂³	—	10	1	no	—
1821	C₂³	—	10	1	no	—
1822	C₂³	—	10	1	no	—
1823	C₂³	—	10	1	no	—
1824	C₂³	—	10	1	no	—
1825	C₂³	—	10	1	no	—
1826	C₂³	—	10	1	no	—
1827	C₂³	—	10	1	no	—
1828	C₂³	—	10	1	no	—
1829	C₂³	—	10	1	no	—
1830	C₂³	—	10	1	no	—
1831	C₂³	—	10	1	no	—
1832	C₂³	—	10	1	no	—
1833	C₂³	—	10	1	no	—
1834	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1835	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1836	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1837	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1838	D₄	—	4	1	no	—
1839	D₄	—	4	1	no	—
1840	D₄	—	4	1	no	—
1841	D₄	—	4	1	no	—
1842	D₄	—	4	1	no	—
1843	D₄	—	4	1	no	—
1844	D₄	—	20	1	no	—
1845	D₄	—	20	1	no	—
1846	D₄	—	20	1	no	—
1847	D₄	—	20	1	no	—
1848	D₄	—	20	1	no	—
1849	D₄	—	20	1	no	—
1850	D₄	—	20	1	no	—
1851	D₄	—	20	1	no	—
1852	D₄	—	20	1	no	—
1853	D₄	—	20	1	no	—
1854	D₄	—	20	1	no	—
1855	D₄	—	20	1	no	—
1856	D₄	—	20	1	no	—
1857	D₄	—	20	1	no	—
1858	D₄	—	20	1	no	—
1859	D₄	—	20	1	no	—
1860	D₄	—	20	1	no	—
1861	D₄	—	20	1	no	—
1862	C₂×C₄	—	4	1	no	—
1863	C₂×C₄	—	4	1	no	—
1864	C₂×C₄	—	4	1	no	—
1865	C₂×C₄	—	4	1	no	—
1866	C₂×C₄	—	4	1	no	—
1867	C₂×C₄	—	4	1	no	—
1868	C₂×C₄	—	5	2	no	—
1869	C₂×C₄	—	5	1	no	—
1870	C₂×C₄	—	5	1	no	—
1871	C₂×C₄	—	5	1	no	—
1872	C₂×C₄	—	5	1	no	—
1873	C₂×C₄	—	5	1	no	—
1874	C₂×C₄	—	5	1	no	—
1875	C₂×C₄	—	5	1	no	—
1876	C₂×C₄	—	5	1	no	—
1877	C₂×C₄	—	5	1	no	—
1878	C₂×C₄	—	5	1	no	—
1879	C₂×C₄	—	5	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	—	10	1	no	—
1888	C₂×C₄	—	10	1	no	—
1889	C₂×C₄	—	10	1	no	—
1890	C₂×C₄	—	10	1	no	—
1891	C₂×C₄	—	10	1	no	—
1892	C₂×C₄	—	10	1	no	—
1893	C₂×C₄	—	10	1	no	—
1894	C₂×C₄	—	10	1	no	—
1895	C₂×C₄	—	10	1	no	—
1896	C₂×C₄	—	10	1	no	—
1897	C₂×C₄	—	10	1	no	—
1898	C₂×C₄	—	10	1	no	—
1899	C₂×C₄	—	10	1	no	—
1900	C₂×C₄	—	10	1	no	—
1901	C₂×C₄	—	10	1	no	—
1902	C₂×C₄	—	10	1	no	—
1903	C₂×C₄	—	10	1	no	—
1904	C₂×C₄	—	10	1	no	—
1905	C₂×C₄	—	10	1	no	—
1906	C₂×C₄	—	10	1	no	—
1907	C₂×C₄	—	10	1	no	—
1908	C₂×C₄	—	10	1	no	—
1909	C₂×C₄	—	10	1	no	—
1910	C₂×C₄	—	10	1	no	—
1911	C₂×C₄	—	10	1	no	—
1912	C₂×C₄	—	10	1	no	—
1913	C₂×C₄	—	10	1	no	—
1914	C₂×C₄	—	10	1	no	—
1915	C₂×C₄	—	10	1	no	—
1916	C₂×C₄	—	10	1	no	—
1917	C₂×C₄	—	10	1	no	—
1918	C₂×C₄	—	10	1	no	—
1919	C₂×C₄	—	10	1	no	—
1920	C₂×C₄	—	10	1	no	—
1921	C₂×C₄	—	10	1	no	—
1922	C₂×C₄	—	10	1	no	—
1923	C₂×C₄	—	10	1	no	—
1924	C₂×C₄	—	10	1	no	—
1925	C₂×C₄	—	10	1	no	—
1926	C₂×C₄	—	10	1	no	—
1927	C₂×C₄	—	10	1	no	—
1928	C₂×C₄	—	10	1	no	—
1929	C₂×C₄	—	10	1	no	—
1930	C₂×C₄	—	10	1	no	—
1931	C₂×C₄	—	10	1	no	—
1932	C₂×C₄	—	10	1	no	—
1933	C₂×C₄	—	10	1	no	—
1934	C₂×C₄	—	10	1	no	—
1935	C₂×C₄	—	10	1	no	—
1936	C₂×C₄	—	10	1	no	—
1937	C₂×C₄	—	10	1	no	—
1938	C₂×C₄	—	10	1	no	—
1939	C₂×C₄	—	10	1	no	—
1940	C₂×C₄	—	10	1	no	—
1941	C₂×C₄	—	10	1	no	—
1942	C₂×C₄	—	10	1	no	—
1943	C₂×C₄	—	10	1	no	—
1944	C₂×C₄	—	10	1	no	—
1945	C₂×C₄	—	10	1	no	—
1946	C₂×C₄	—	10	1	no	—
1947	C₂×C₄	—	10	1	no	—
1948	C₂×C₄	—	10	1	no	—
1949	C₂×C₄	—	20	1	no	—
1950	C₂×C₄	—	20	1	no	—
1951	C₂×C₄	—	20	1	no	—
1952	C₂×C₄	—	20	1	no	—
1953	C₂×C₄	—	20	1	no	—
1954	C₂×C₄	—	20	1	no	—
1955	C₂×C₄	—	20	1	no	—
1956	C₂×C₄	—	20	1	no	—
1957	C₂×C₄	—	20	1	no	—
1958	C₂×C₄	—	20	1	no	—
1959	C₂×C₄	—	20	1	no	—
1960	C₂×C₄	—	20	1	no	—
1961	C₂×C₄	—	20	1	no	—
1962	C₂×C₄	—	20	1	no	—
1963	C₂×C₄	—	20	1	no	—
1964	C₂×C₄	—	20	1	no	—
1965	C₂×C₄	—	20	1	no	—
1966	C₂×C₄	—	20	1	no	—
1967	C₂×C₄	—	20	4	no	—
1968	C₂×C₄	—	20	4	no	—
1969	C₂×C₄	—	40	2	no	—
1970	C₂×C₄	—	40	2	no	—
1971	C₂×C₄	—	40	2	no	—
1972	C₂×C₄	—	40	2	no	—
1973	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1974	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1975	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1976	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1977	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1978	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1979	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1980	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1981	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1982	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1983	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1984	C₅	#34509	1	1	yes	characteristic, complemented, Sylow
1985	C₂²	—	2	1	no	—
1986	C₂²	—	2	1	no	—
1987	C₂²	—	2	1	no	—
1988	C₂²	—	2	1	no	—
1989	C₂²	—	2	1	no	—
1990	C₂²	—	2	1	no	—
1991	C₂²	—	2	1	no	—
1992	C₂²	—	2	1	no	—
1993	C₂²	—	2	1	no	—
1994	C₂²	—	2	1	no	—
1995	C₂²	—	2	1	no	—
1996	C₂²	—	2	1	no	—
1997	C₂²	—	5	1	no	—
1998	C₂²	—	5	1	no	—
1999	C₂²	—	5	1	no	—
2000	C₂²	—	5	1	no	—
2001	C₂²	—	5	1	no	—
2002	C₂²	—	5	1	no	—
2003	C₂²	—	10	1	no	—
2004	C₂²	—	10	1	no	—
2005	C₂²	—	10	1	no	—
2006	C₂²	—	10	1	no	—
2007	C₂²	—	10	1	no	—
2008	C₂²	—	10	1	no	—
2009	C₂²	—	10	1	no	—
2010	C₂²	—	10	1	no	—
2011	C₂²	—	10	1	no	—
2012	C₂²	—	10	1	no	—
2013	C₂²	—	10	1	no	—
2014	C₂²	—	10	1	no	—
2015	C₂²	—	20	1	no	—
2016	C₂²	—	20	1	no	—
2017	C₂²	—	20	1	no	—
2018	C₂²	—	20	1	no	—
2019	C₂²	—	20	1	no	—
2020	C₂²	—	20	1	no	—
2021	C₂²	—	20	1	no	—
2022	C₂²	—	20	1	no	—
2023	C₂²	—	20	1	no	—
2024	C₂²	—	20	1	no	—
2025	C₂²	—	20	1	no	—
2026	C₂²	—	20	1	no	—
2027	C₂²	—	20	1	no	—
2028	C₂²	—	20	1	no	—
2029	C₂²	—	20	1	no	—
2030	C₂²	—	20	1	no	—
2031	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
2032	C₄	—	2	1	no	—
2033	C₄	—	2	1	no	—
2034	C₄	—	2	1	no	—
2035	C₄	—	2	1	no	—
2036	C₄	—	2	1	no	—
2037	C₄	—	2	1	no	—
2038	C₄	—	2	1	no	—
2039	C₄	—	2	1	no	—
2040	C₄	—	2	1	no	—
2041	C₄	—	2	1	no	—
2042	C₄	—	2	1	no	—
2043	C₄	—	10	2	no	—
2044	C₄	—	10	1	no	—
2045	C₄	—	10	1	no	—
2046	C₄	—	10	1	no	—
2047	C₄	—	10	1	no	—
2048	C₄	—	10	1	no	—
2049	C₄	—	10	1	no	—
2050	C₄	—	10	1	no	—
2051	C₄	—	10	1	no	—
2052	C₄	—	10	1	no	—
2053	C₄	—	10	1	no	—
2054	C₄	—	10	1	no	—
2055	C₄	—	20	1	no	—
2056	C₄	—	20	1	no	—
2057	C₄	—	20	1	no	—
2058	C₄	—	20	1	no	—
2059	C₄	—	20	1	no	—
2060	C₄	—	20	1	no	—
2061	C₄	—	20	1	no	—
2062	C₄	—	20	1	no	—
2063	C₄	—	20	1	no	—
2064	C₄	—	20	1	no	—
2065	C₄	—	20	1	no	—
2066	C₄	—	20	1	no	—
2067	C₄	—	20	1	no	—
2068	C₄	—	20	1	no	—
2069	C₄	—	20	1	no	—
2070	C₂	—	4	1	no	—
2071	C₂	—	4	1	no	—
2072	C₂	—	4	1	no	—
2073	C₂	—	4	1	no	—
2074	C₂	—	5	1	no	—
2075	C₂	—	5	1	no	—
2076	C₂	—	5	1	no	—
2077	C₂	—	5	1	no	—
2078	C₂	—	20	1	no	—
2079	C₂	—	20	1	no	—
2080	C₂	—	20	1	no	—
2081	C₂	—	20	1	no	—
2082	C₂	#10619412	1	1	yes	characteristic
2083	C₂	#10619412	1	1	yes	characteristic
2084	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×AGL(1,𝔽₅)
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#553	C₄
prime radical	D₅×#553	C₂
cosocle	C₂²×D₅	C₂⁵
hypercenter	#553	AGL(1,𝔽₅)
hypocenter	C₅	#34509
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #553

Complements

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

N	H ≅ G/N	type
2. #10617360	C₂	semidirect
3. #10617359	C₂	semidirect
4. #10617358	C₂	semidirect
5. #10617358	C₂	semidirect
6. #10617347	C₂	semidirect
7. #10617345	C₂	semidirect
8. #10617307	C₂	semidirect
9. #10617306	C₂	semidirect
10. #10617305	C₂	semidirect
11. AGL(1,𝔽₅)×#123	C₂	semidirect
12. #10617256	C₂	semidirect
13. #10617256	C₂	semidirect
14. #10617256	C₂	semidirect
15. #10617254	C₂	semidirect
16. #10617252	C₂	semidirect
17. #10617252	C₂	semidirect
18. #10617251	C₂	semidirect
19. #10617250	C₂	semidirect
20. #10617182	C₂	semidirect
21. #10617181	C₂	semidirect
22. #10617180	C₂	semidirect
23. #10617180	C₂	semidirect
24. #10617176	C₂	semidirect
25. #10617175	C₂	semidirect
26. #10617173	C₂	semidirect
27. #10617173	C₂	semidirect
28. #10617132	C₂	semidirect
29. #10617130	C₂	semidirect
30. #10617103	C₂	semidirect
31. #10617101	C₂	semidirect
38. C₅×#553	C₄	semidirect
39. #66043	C₄	semidirect
40. #66043	C₄	semidirect
43. #66029	C₄	semidirect
45. #65995	C₄	semidirect
46. #65995	C₄	semidirect
49. #65952	C₄	semidirect
50. #65948	C₄	semidirect
55. #65935	C₄	semidirect
56. #65935	C₄	semidirect
57. #65899	C₄	semidirect
58. #65892	C₄	semidirect
63. #65874	C₄	semidirect
64. #65874	C₄	semidirect
65. #65864	C₄	semidirect
67. #65848	C₄	semidirect
294. C₅×#126	C₂×C₄	semidirect
295. C₅×#126	C₂×C₄	semidirect
296. C₅×#125	C₂×C₄	semidirect
297. C₅×#123	C₂×C₄	semidirect
298. C₅×#123	C₂×C₄	semidirect
300. C₅×#121	C₂×C₄	semidirect
301. C₅×#121	C₂×C₄	semidirect
302. C₅×#121	C₂×C₄	semidirect
303. C₄×C₅×D₄	C₂×C₄	semidirect
304. C₄×C₅×D₄	C₂×C₄	semidirect
305. C₄×C₅×D₄	C₂×C₄	semidirect
306. C₄×C₅×D₄	C₂×C₄	semidirect
307. C₅×#117	C₂×C₄	semidirect
308. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
311. #4085	C₂×C₄	semidirect
312. #4085	C₂×C₄	semidirect
313. #4085	C₂×C₄	semidirect
314. #4085	C₂×C₄	semidirect
315. #4085	C₂×C₄	semidirect
316. #4085	C₂×C₄	semidirect
318. #4084	C₂×C₄	semidirect
319. #4084	C₂×C₄	semidirect
320. #4084	C₂×C₄	semidirect
321. #4081	C₂×C₄	semidirect
322. #4081	C₂×C₄	semidirect
323. D₄×Dic₅	C₂×C₄	semidirect
324. D₄×Dic₅	C₂×C₄	semidirect
325. D₄×Dic₅	C₂×C₄	semidirect
326. D₄×Dic₅	C₂×C₄	semidirect
328. #4076	C₂×C₄	semidirect
329. #4076	C₂×C₄	semidirect
330. #4076	C₂×C₄	semidirect
331. #4075	C₂×C₄	semidirect
332. #4075	C₂×C₄	semidirect
333. C₄×C₂²⋊D₅	C₂×C₄	semidirect
334. C₄×C₂²⋊D₅	C₂×C₄	semidirect
335. C₄×C₂²⋊D₅	C₂×C₄	semidirect
336. C₄×C₂²⋊D₅	C₂×C₄	semidirect
337. C₄×C₂²⋊D₅	C₂×C₄	semidirect
338. C₄×C₂²⋊D₅	C₂×C₄	semidirect
339. C₄×C₂²⋊D₅	C₂×C₄	semidirect
340. C₄×C₂²⋊D₅	C₂×C₄	semidirect
341. #4072	C₂×C₄	semidirect
342. C₂×C₄⋊Dic₅	C₂×C₄	semidirect
343. C₂×#683	C₂×C₄	semidirect
344. C₂×#683	C₂×C₄	semidirect
345. #4044	C₂×C₄	semidirect
346. #4044	C₂×C₄	semidirect
347. #4044	C₂×C₄	semidirect
348. #4044	C₂×C₄	semidirect
349. #4044	C₂×C₄	semidirect
350. #4044	C₂×C₄	semidirect
352. #4041	C₂×C₄	semidirect
353. #4041	C₂×C₄	semidirect
354. #4041	C₂×C₄	semidirect
355. #4040	C₂×C₄	semidirect
356. #4040	C₂×C₄	semidirect
357. #4040	C₂×C₄	semidirect
358. #4040	C₂×C₄	semidirect
359. #4039	C₂×C₄	semidirect
360. #4039	C₂×C₄	semidirect
361. #4039	C₂×C₄	semidirect
362. #4039	C₂×C₄	semidirect
363. #4038	C₂×C₄	semidirect
364. #4038	C₂×C₄	semidirect
365. D₅×C₄⋊C₄	C₂×C₄	semidirect
366. D₅×C₄⋊C₄	C₂×C₄	semidirect
367. D₅×C₄⋊C₄	C₂×C₄	semidirect
368. D₅×C₄⋊C₄	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. #4032	C₂×C₄	semidirect
386. #4032	C₂×C₄	semidirect
389. #4030	C₂×C₄	semidirect
390. #4030	C₂×C₄	semidirect
391. #4030	C₂×C₄	semidirect
392. #4030	C₂×C₄	semidirect
393. #4030	C₂×C₄	semidirect
394. #4030	C₂×C₄	semidirect
395. #4029	C₂×C₄	semidirect
396. #4029	C₂×C₄	semidirect
397. #4029	C₂×C₄	semidirect
398. #4029	C₂×C₄	semidirect
399. #4027	C₂×C₄	semidirect
400. #4027	C₂×C₄	semidirect
401. #4027	C₂×C₄	semidirect
402. #4027	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. #4023	C₂×C₄	semidirect
424. #4023	C₂×C₄	semidirect
425. #4022	C₂×C₄	semidirect
426. #4022	C₂×C₄	semidirect
427. C₄×D₂₀	C₂×C₄	semidirect
428. C₄×D₂₀	C₂×C₄	semidirect
429. C₄×D₂₀	C₂×C₄	semidirect
430. C₄×D₂₀	C₂×C₄	semidirect
431. #4018	C₂×C₄	semidirect
432. #4018	C₂×C₄	semidirect
436. #4016	C₂×C₄	semidirect
810. #553	AGL(1,𝔽₅)	semidirect
1177. #126	C₂×AGL(1,𝔽₅)	semidirect
1178. #126	C₂×AGL(1,𝔽₅)	semidirect
1186. #125	C₂×AGL(1,𝔽₅)	semidirect
1201. #123	C₂×AGL(1,𝔽₅)	semidirect
1202. #123	C₂×AGL(1,𝔽₅)	semidirect
1232. #121	C₂×AGL(1,𝔽₅)	semidirect
1233. #121	C₂×AGL(1,𝔽₅)	semidirect
1234. #121	C₂×AGL(1,𝔽₅)	semidirect
1265. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1266. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1267. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1268. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1279. #117	C₂×AGL(1,𝔽₅)	semidirect
1317. C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	semidirect
1984. C₅	#34509	semidirect

Maximal subgroups

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

subgroup	index
D₅×#553	2
#10617360	2
#10617359	2
#10617358	2
#10617347	2
#10617345	2
#10617307	2
#10617306	2
#10617305	2
AGL(1,𝔽₅)×#123	2
#10617256	2
#10617254	2
#10617252	2
#10617251	2
#10617250	2
#10617182	2
#10617181	2
#10617180	2
#10617176	2
#10617175	2
#10617173	2
#10617132	2
#10617130	2
#10617103	2
#10617101	2
#34509	5