Subgroups — #13044125

Order 1280.

2306 conjugacy classes of subgroups.

The subgroup lattice has 2046 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	AGL(1,𝔽₅)×#126	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617347	C₂	1	1	yes	maximal, characteristic, complemented
7	#10617346	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617345	C₂	1	1	yes	maximal, characteristic, complemented
9	AGL(1,𝔽₅)×#125	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617307	C₂	1	1	yes	maximal, characteristic, complemented
11	#10617306	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617306	C₂	1	1	yes	maximal, characteristic, complemented
13	#10617306	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617306	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617306	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
17	AGL(1,𝔽₅)×#123	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617287	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617287	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	#10617255	C₂	1	1	yes	maximal, characteristic
25	#10617253	C₂	1	1	yes	maximal, characteristic
26	#10617175	C₂	1	1	yes	maximal, characteristic, complemented
27	#10617173	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617172	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₄×AGL(1,𝔽₅)	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#65711	C₂	1	1	yes	maximal, characteristic, complemented
31	#10617098	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×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
35	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
36	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
37	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
38	C₂×#4130	C₂²	1	1	yes	characteristic
39	C₂×#4130	C₂²	1	1	yes	characteristic
40	C₂×#4130	C₂²	1	1	yes	characteristic
41	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
42	C₂²×C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
43	C₂²×C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
44	C₅×#539	C₄	1	1	yes	characteristic, complemented
45	#66041	C₄	1	1	yes	characteristic, complemented
46	#66041	C₄	1	1	yes	characteristic, complemented
47	D₅×#126	C₂²	1	1	yes	characteristic
48	D₅×#126	C₂²	1	1	yes	characteristic
49	#66026	C₄	1	1	yes	characteristic, complemented
50	#66026	C₄	1	1	yes	characteristic, complemented
51	D₅×#125	C₂²	1	1	yes	characteristic
52	D₅×#125	C₂²	1	1	yes	characteristic
53	#65999	C₄	1	1	yes	characteristic, complemented
54	#65999	C₄	1	1	yes	characteristic, complemented
55	#65994	C₄	1	1	yes	characteristic, complemented
56	#65994	C₄	1	1	yes	characteristic, complemented
57	D₅×#123	C₂²	1	1	yes	characteristic
58	D₅×#123	C₂²	1	1	yes	characteristic
59	D₅×#123	C₂²	1	1	yes	characteristic
60	D₅×#123	C₂²	1	1	yes	characteristic
61	#65979	C₄	1	1	yes	characteristic, complemented
62	#65972	C₄	1	1	yes	characteristic, complemented
63	#65972	C₄	1	1	yes	characteristic, complemented
64	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	D₅×#121	C₂²	1	1	yes	characteristic
68	#65936	C₄	1	1	yes	characteristic, complemented
69	#65898	C₄	1	1	yes	characteristic, complemented
70	#65898	C₄	1	1	yes	characteristic, complemented
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
73	#65849	C₄	1	1	yes	characteristic, complemented
74	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
75	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
76	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
77	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
78	#65780	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	#65765	C₂²	1	1	yes	characteristic
86	#65764	C₂²	1	1	yes	characteristic
87	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
88	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
89	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
90	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
91	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
92	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
93	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
94	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
95	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
96	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
97	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
98	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	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	#65711	C₂²	1	1	yes	characteristic
108	#65711	C₂²	1	1	yes	characteristic
109	#65711	C₂²	1	1	yes	characteristic
110	#65711	C₂²	1	1	yes	characteristic
111	#65711	C₂²	1	1	yes	characteristic
112	#65711	C₂²	1	1	yes	characteristic
113	#65711	C₂²	1	1	yes	characteristic
114	#65711	C₂²	1	1	yes	characteristic
115	#65711	C₂²	1	1	yes	characteristic
116	#65711	C₂²	1	1	yes	characteristic
117	#65711	C₂²	1	1	yes	characteristic
118	#65711	C₂²	1	1	yes	characteristic
119	#65711	C₂²	1	1	yes	characteristic
120	#65711	C₂²	1	1	yes	characteristic
121	#65711	C₂²	1	1	yes	characteristic
122	#65711	C₂²	1	1	yes	characteristic
123	#65711	C₂²	1	1	yes	characteristic
124	#65711	C₂²	1	1	yes	characteristic
125	#65711	C₂²	1	1	yes	characteristic
126	#65711	C₂²	1	1	yes	characteristic
127	#65711	C₂²	1	1	yes	characteristic
128	#65711	C₂²	1	1	yes	characteristic
129	#65711	C₂²	1	1	yes	characteristic
130	#65711	C₂²	1	1	yes	characteristic
131	#65711	C₂²	1	1	yes	characteristic
132	#65711	C₂²	1	1	yes	characteristic
133	#65711	C₂²	1	1	yes	characteristic
134	#65711	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
140	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
151	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
152	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
153	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
155	#65700	C₂²	1	1	yes	characteristic
156	#65700	C₂²	1	1	yes	characteristic
157	#65700	C₂²	1	1	yes	characteristic
158	#65700	C₂²	1	1	yes	characteristic
159	#65700	C₂²	1	1	yes	characteristic
160	#65700	C₂²	1	1	yes	characteristic
161	#65700	C₂²	1	1	yes	characteristic
162	#65700	C₂²	1	1	yes	characteristic
163	#65700	C₂²	1	1	yes	characteristic
164	#65700	C₂²	1	1	yes	characteristic
165	#65700	C₂²	1	1	yes	characteristic
166	#65700	C₂²	1	1	yes	characteristic
167	#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	#65699	C₂²	1	1	yes	characteristic
172	#65699	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	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
182	C₂²⋊C₄×AGL(1,𝔽₅)	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	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	#65690	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	#65686	C₂²	1	1	yes	characteristic
201	#65686	C₂²	1	1	yes	characteristic
202	C₄²×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
203	#34282	—	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	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
211	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
212	C₂×Q₈×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	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)	—	2	4	no	—
239	D₄×AGL(1,𝔽₅)	—	2	4	no	—
240	D₄×AGL(1,𝔽₅)	—	2	4	no	—
241	D₄×AGL(1,𝔽₅)	—	2	4	no	—
242	D₄×AGL(1,𝔽₅)	—	4	2	no	—
243	#4130	—	2	4	no	—
244	#4130	—	2	4	no	—
245	#4130	—	4	2	no	—
246	C₂×C₄⋊AGL(1,𝔽₅)	—	4	2	no	—
247	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
267	C₂×C₄×AGL(1,𝔽₅)	—	4	2	no	—
268	C₂×C₄×AGL(1,𝔽₅)	—	4	2	no	—
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	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	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
295	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
296	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
297	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
298	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
299	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
300	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
301	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
302	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
303	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
304	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
305	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
306	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
307	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
308	C₅×#121	C₂×C₄	1	1	yes	characteristic
309	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
310	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
311	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
312	#4092	C₂×C₄	1	1	yes	characteristic, complemented
313	#4092	C₂×C₄	1	1	yes	characteristic, complemented
314	#4092	C₂×C₄	1	1	yes	characteristic, complemented
315	#4085	C₂×C₄	1	1	yes	characteristic
316	#4085	C₂×C₄	1	1	yes	characteristic
317	#4084	C₂×C₄	1	1	yes	characteristic
318	#4081	C₂×C₄	1	1	yes	characteristic, complemented
319	#4081	C₂×C₄	1	1	yes	characteristic, complemented
320	#4081	C₂×C₄	1	1	yes	characteristic, complemented
321	#4081	C₂×C₄	1	1	yes	characteristic, complemented
322	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
323	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
324	#4076	C₂×C₄	1	1	yes	characteristic
325	#4075	C₂×C₄	1	1	yes	characteristic, complemented
326	#4075	C₂×C₄	1	1	yes	characteristic, complemented
327	#4075	C₂×C₄	1	1	yes	characteristic, complemented
328	#4075	C₂×C₄	1	1	yes	characteristic, complemented
329	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
330	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
331	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
332	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
333	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
334	#4070	C₂×C₄	1	1	yes	characteristic, complemented
335	#4070	C₂×C₄	1	1	yes	characteristic, complemented
336	#4070	C₂×C₄	1	1	yes	characteristic, complemented
337	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
338	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
339	#4044	C₂×C₄	1	1	yes	characteristic, complemented
340	#4044	C₂×C₄	1	1	yes	characteristic, complemented
341	#4044	C₂×C₄	1	1	yes	characteristic, complemented
342	#4044	C₂×C₄	1	1	yes	characteristic, complemented
343	#4044	C₂×C₄	1	1	yes	characteristic, complemented
344	#4044	C₂×C₄	1	1	yes	characteristic, complemented
345	#4043	C₂×C₄	1	1	yes	characteristic, complemented
346	#4043	C₂×C₄	1	1	yes	characteristic, complemented
347	#4043	C₂×C₄	1	1	yes	characteristic, complemented
348	#4042	C₂×C₄	1	1	yes	characteristic, complemented
349	#4042	C₂×C₄	1	1	yes	characteristic, complemented
350	#4042	C₂×C₄	1	1	yes	characteristic, complemented
351	#4042	C₂×C₄	1	1	yes	characteristic, complemented
352	#4042	C₂×C₄	1	1	yes	characteristic, complemented
353	#4042	C₂×C₄	1	1	yes	characteristic, complemented
354	#4041	C₂×C₄	1	1	yes	characteristic
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	#4040	C₂×C₄	1	1	yes	characteristic, complemented
360	#4040	C₂×C₄	1	1	yes	characteristic, complemented
361	#4040	C₂×C₄	1	1	yes	characteristic, complemented
362	#4040	C₂×C₄	1	1	yes	characteristic, complemented
363	#4039	C₂×C₄	1	1	yes	characteristic, complemented
364	#4039	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	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
380	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
381	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
382	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
383	#4036	C₂×C₄	1	1	yes	characteristic, complemented
384	#4036	C₂×C₄	1	1	yes	characteristic, complemented
385	#4036	C₂×C₄	1	1	yes	characteristic, complemented
386	#4036	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	#4035	C₂×C₄	1	1	yes	characteristic, complemented
390	#4035	C₂×C₄	1	1	yes	characteristic, complemented
391	#4035	C₂×C₄	1	1	yes	characteristic, complemented
392	#4035	C₂×C₄	1	1	yes	characteristic, complemented
393	#4035	C₂×C₄	1	1	yes	characteristic, complemented
394	#4035	C₂×C₄	1	1	yes	characteristic, complemented
395	#4032	C₂×C₄	1	1	yes	characteristic, complemented
396	#4032	C₂×C₄	1	1	yes	characteristic, complemented
397	#4032	C₂×C₄	1	1	yes	characteristic, complemented
398	#4032	C₂×C₄	1	1	yes	characteristic, complemented
399	#4030	C₂×C₄	1	1	yes	characteristic
400	#4030	C₂×C₄	1	1	yes	characteristic
401	#4029	C₂×C₄	1	1	yes	characteristic, complemented
402	#4029	C₂×C₄	1	1	yes	characteristic, complemented
403	#4029	C₂×C₄	1	1	yes	characteristic, complemented
404	#4029	C₂×C₄	1	1	yes	characteristic, complemented
405	#4029	C₂×C₄	1	1	yes	characteristic, complemented
406	#4029	C₂×C₄	1	1	yes	characteristic, complemented
407	#4029	C₂×C₄	1	1	yes	characteristic, complemented
408	#4029	C₂×C₄	1	1	yes	characteristic, complemented
409	#4027	C₂×C₄	1	1	yes	characteristic, complemented
410	#4027	C₂×C₄	1	1	yes	characteristic, complemented
411	#4027	C₂×C₄	1	1	yes	characteristic, complemented
412	#4027	C₂×C₄	1	1	yes	characteristic, complemented
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	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
418	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
419	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
420	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
421	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
422	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
423	#4025	C₂×C₄	1	1	yes	characteristic, complemented
424	#4025	C₂×C₄	1	1	yes	characteristic, complemented
425	#4025	C₂×C₄	1	1	yes	characteristic, complemented
426	#4025	C₂×C₄	1	1	yes	characteristic, complemented
427	#4025	C₂×C₄	1	1	yes	characteristic, complemented
428	#4025	C₂×C₄	1	1	yes	characteristic, complemented
429	#4024	C₂×C₄	1	1	yes	characteristic, complemented
430	#4024	C₂×C₄	1	1	yes	characteristic, complemented
431	#4024	C₂×C₄	1	1	yes	characteristic, complemented
432	#4024	C₂×C₄	1	1	yes	characteristic, complemented
433	#4024	C₂×C₄	1	1	yes	characteristic, complemented
434	#4024	C₂×C₄	1	1	yes	characteristic, complemented
435	#4022	C₂×C₄	1	1	yes	characteristic, complemented
436	#4022	C₂×C₄	1	1	yes	characteristic, complemented
437	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
438	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
439	C₄²×D₅	C₂³	1	1	yes	characteristic
440	C₄²×D₅	C₂³	1	1	yes	characteristic
441	#4016	C₂×C₄	1	1	yes	characteristic, complemented
442	#4016	C₂×C₄	1	1	yes	characteristic, complemented
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×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
486	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
487	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
488	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
489	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
490	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
491	C₂×#539	—	5	1	no	—
492	#2374	—	5	1	no	—
493	#2373	—	5	1	no	—
494	#2373	—	5	1	no	—
495	#2371	—	5	1	no	—
496	#2370	—	5	1	no	—
497	#2368	—	5	1	no	—
498	#2368	—	5	1	no	—
499	#2364	—	5	1	no	—
500	#2362	—	5	1	no	—
501	#2361	—	5	1	no	—
502	#2360	—	5	1	no	—
503	#2359	—	5	1	no	—
504	#2359	—	5	1	no	—
505	#2359	—	5	1	no	—
506	#2359	—	5	1	no	—
507	#2359	—	5	1	no	—
508	#2336	—	5	1	no	—
509	#2335	—	5	1	no	—
510	#2334	—	5	1	no	—
511	#2332	—	5	1	no	—
512	#2318	—	5	1	no	—
513	C₄×#125	—	5	1	no	—
514	C₄×#126	—	5	1	no	—
515	C₄×C₂²⋊Q₈	—	5	1	no	—
516	C₄×#123	—	5	1	no	—
517	#2290	—	5	1	no	—
518	C₂×#387	—	5	1	no	—
519	#2275	—	5	1	no	—
520	#2274	—	5	1	no	—
521	C₄²×D₄	—	5	1	no	—
522	C₂³×D₅	C₂⁴	1	1	yes	characteristic
523	C₂³×D₅	C₂⁴	1	1	yes	characteristic
524	C₂³×D₅	C₂⁴	1	1	yes	characteristic
525	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
526	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
527	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
528	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
529	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
530	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
531	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
532	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
533	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
534	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
535	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
536	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
537	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
538	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
539	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
540	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
541	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
542	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
543	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
544	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
545	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
546	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
547	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
548	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
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	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
555	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
556	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
557	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
558	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
559	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
560	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
561	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
562	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
563	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
564	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
565	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
569	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
570	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
571	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
572	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
573	C₂²×C₄×C₅	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	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₂²⋊D₅	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	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
585	Q₈×D₅	—	4	1	no	—
586	Q₈×D₅	—	4	1	no	—
587	D₄×D₅	—	2	2	no	—
588	D₄×D₅	—	2	2	no	—
589	D₄×D₅	—	2	2	no	—
590	D₄×D₅	—	2	2	no	—
591	D₄×D₅	—	4	1	no	—
592	D₄×D₅	—	4	1	no	—
593	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
594	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
595	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄×D₅	—	2	2	no	—
597	C₂×C₄×D₅	—	2	2	no	—
598	C₂×C₄×D₅	—	4	1	no	—
599	C₂×C₄×D₅	—	4	1	no	—
600	C₂×C₄×D₅	—	4	1	no	—
601	C₂×C₄×D₅	—	4	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
617	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
618	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
619	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
620	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
621	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
622	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
623	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
624	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
625	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
628	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
629	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
630	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
631	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
632	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
633	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
634	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
635	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
636	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
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)	#41	1	4	yes	—
646	C₂²⋊AGL(1,𝔽₅)	#41	1	4	yes	—
647	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
648	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
649	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
650	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
651	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
652	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
653	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
654	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
655	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
656	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
657	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
658	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
659	C₄⋊AGL(1,𝔽₅)	—	4	1	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)	—	2	2	no	—
668	C₄×AGL(1,𝔽₅)	—	2	2	no	—
669	C₄×AGL(1,𝔽₅)	—	2	2	no	—
670	C₄×AGL(1,𝔽₅)	—	2	2	no	—
671	C₄×AGL(1,𝔽₅)	—	2	2	no	—
672	C₄×AGL(1,𝔽₅)	—	2	2	no	—
673	C₄×AGL(1,𝔽₅)	—	2	2	no	—
674	C₄×AGL(1,𝔽₅)	—	2	2	no	—
675	C₄×AGL(1,𝔽₅)	—	2	2	no	—
676	C₄×AGL(1,𝔽₅)	—	2	2	no	—
677	C₄×AGL(1,𝔽₅)	—	2	2	no	—
678	C₄×AGL(1,𝔽₅)	—	2	2	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)	—	4	1	no	—
684	C₄×AGL(1,𝔽₅)	—	4	1	no	—
685	C₄×AGL(1,𝔽₅)	—	4	1	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	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
712	C₅×C₂²⋊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	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
720	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
721	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
722	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
723	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
724	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
725	C₂²⋊Dic₅	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	#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	#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	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
752	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
753	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
754	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
755	C₄⋊Dic₅	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	#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	#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	#683	C₂²×C₄	1	1	yes	characteristic
787	#683	C₂²×C₄	1	1	yes	characteristic
788	#683	C₂²×C₄	1	1	yes	characteristic
789	#683	C₂²×C₄	1	1	yes	characteristic
790	#683	C₂²×C₄	1	1	yes	characteristic
791	#683	C₂²×C₄	1	1	yes	characteristic
792	#683	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	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
796	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
797	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
798	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
799	#539	—	5	1	no	—
800	#539	—	5	1	no	—
801	#539	—	5	1	no	—
802	#539	—	5	1	no	—
803	#539	—	5	1	no	—
804	#539	—	5	1	no	—
805	#539	—	5	1	no	—
806	#539	—	5	1	no	—
807	#539	—	5	1	no	—
808	#539	—	5	1	no	—
809	#539	—	5	1	no	—
810	#539	—	5	1	no	—
811	#539	—	5	1	no	—
812	#539	—	5	1	no	—
813	#539	—	5	1	no	—
814	#539	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
815	C₂×#126	—	5	1	no	—
816	C₂×#126	—	5	1	no	—
817	C₂×#125	—	5	1	no	—
818	C₂×#125	—	5	1	no	—
819	C₂×#123	—	5	1	no	—
820	C₂×#123	—	5	1	no	—
821	C₂×#123	—	5	1	no	—
822	C₂×#123	—	5	1	no	—
823	C₂×C₂²⋊Q₈	—	5	1	no	—
824	C₂×C₂²⋊Q₈	—	5	1	no	—
825	C₂×C₂²⋊Q₈	—	5	1	no	—
826	C₂×#121	—	5	1	no	—
827	C₂×C₄×Q₈	—	5	1	no	—
828	C₂×C₄×D₄	—	5	1	no	—
829	C₂×C₄×D₄	—	5	1	no	—
830	C₂×C₄×D₄	—	5	1	no	—
831	C₂×C₄×D₄	—	5	1	no	—
832	C₂×C₄×D₄	—	5	1	no	—
833	C₂×C₄×D₄	—	5	1	no	—
834	C₂×C₄×D₄	—	5	1	no	—
835	C₂×#117	—	5	1	no	—
836	C₂×#117	—	5	1	no	—
837	C₂×#117	—	5	1	no	—
838	C₂²×C₄⋊C₄	—	5	1	no	—
839	C₂²×C₄⋊C₄	—	5	1	no	—
840	C₂²×C₄²	—	5	1	no	—
841	C₂²×C₄²	—	5	1	no	—
842	#391	—	5	1	no	—
843	#391	—	5	1	no	—
844	#391	—	5	1	no	—
845	#390	—	5	1	no	—
846	#389	—	5	1	no	—
847	#389	—	5	1	no	—
848	#389	—	5	1	no	—
849	#389	—	5	1	no	—
850	#389	—	5	1	no	—
851	#389	—	5	1	no	—
852	#389	—	5	1	no	—
853	#389	—	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	#388	—	5	1	no	—
869	#388	—	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	#387	—	5	1	no	—
897	#387	—	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	#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	#385	—	5	1	no	—
911	#385	—	5	1	no	—
912	#385	—	5	1	no	—
913	#385	—	5	1	no	—
914	#383	—	5	1	no	—
915	#382	—	5	1	no	—
916	#381	—	5	1	no	—
917	#380	—	5	1	no	—
918	C₄×C₄⋊C₄	—	5	1	no	—
919	C₄×C₄⋊C₄	—	5	1	no	—
920	C₄×C₄⋊C₄	—	5	1	no	—
921	C₄×C₄⋊C₄	—	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×C₄⋊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	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	C₄×C₂²⋊C₄	—	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	C₂×#95	—	5	1	no	—
967	C₂×#95	—	5	1	no	—
968	C₂×#95	—	5	1	no	—
969	C₄³	—	5	1	no	—
970	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
971	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
972	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
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	C₂³×C₄	1	1	yes	characteristic
990	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
991	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
992	C₂²×D₅	C₂×#41	1	2	yes	—
993	C₂²×D₅	C₂×#41	1	2	yes	—
994	C₂²×D₅	C₂⁵	1	1	yes	characteristic
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)	—	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)	—	4	4	no	—
1038	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1039	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1040	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1041	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1042	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1043	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1044	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1045	C₂×AGL(1,𝔽₅)	C₂×#41	1	2	yes	—
1046	C₂×AGL(1,𝔽₅)	C₂×#41	1	2	yes	—
1047	C₂×AGL(1,𝔽₅)	C₂×#41	1	2	yes	—
1048	C₂×AGL(1,𝔽₅)	C₂×#41	1	2	yes	—
1049	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1050	C₂×AGL(1,𝔽₅)	2₋¹⁺⁴	1	2	yes	—
1051	C₅×Q₈	—	4	1	no	—
1052	C₅×D₄	—	2	2	no	—
1053	C₅×D₄	—	2	2	no	—
1054	C₅×D₄	—	4	1	no	—
1055	C₂×C₄×C₅	—	2	2	no	—
1056	C₂×C₄×C₅	—	4	1	no	—
1057	C₂×C₄×C₅	—	4	1	no	—
1058	C₂×C₄×C₅	—	4	1	no	—
1059	C₂×C₄×C₅	—	4	1	no	—
1060	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1061	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1062	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1063	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1064	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
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	C₂²⋊D₅	—	2	2	no	—
1073	C₂²⋊D₅	—	2	2	no	—
1074	C₂²⋊D₅	—	2	2	no	—
1075	C₂²⋊D₅	—	2	2	no	—
1076	C₂²⋊D₅	—	4	1	no	—
1077	C₂²⋊D₅	—	4	1	no	—
1078	C₂×Dic₅	—	2	2	no	—
1079	C₂×Dic₅	—	4	1	no	—
1080	C₂×Dic₅	—	4	1	no	—
1081	C₂×Dic₅	—	4	1	no	—
1082	C₂×Dic₅	—	4	1	no	—
1083	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1084	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1085	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1086	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1087	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1088	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1089	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1090	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1091	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1092	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1093	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1094	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1095	D₂₀	—	2	2	no	—
1096	D₂₀	—	2	2	no	—
1097	D₂₀	—	4	1	no	—
1098	C₄×D₅	—	2	2	no	—
1099	C₄×D₅	—	2	2	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	—	2	1	no	—
1105	C₄×D₅	—	2	1	no	—
1106	C₄×D₅	—	2	1	no	—
1107	C₄×D₅	—	2	1	no	—
1108	C₄×D₅	—	2	1	no	—
1109	C₄×D₅	—	2	1	no	—
1110	C₄×D₅	—	2	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	—	4	1	no	—
1125	C₄×D₅	—	4	1	no	—
1126	C₄×D₅	—	4	1	no	—
1127	C₄×D₅	—	4	1	no	—
1128	C₄×D₅	—	4	1	no	—
1129	C₄×D₅	—	4	1	no	—
1130	C₄×D₅	—	4	1	no	—
1131	C₄×D₅	—	4	1	no	—
1132	Dic₁₀	—	4	1	no	—
1133	Dic₁₀	—	4	1	no	—
1134	Dic₁₀	—	4	1	no	—
1135	C₂²×Q₈	—	5	1	no	—
1136	C₂²×D₄	—	5	1	no	—
1137	C₂²×D₄	—	5	1	no	—
1138	C₂²×D₄	—	5	1	no	—
1139	C₂³×C₄	—	5	1	no	—
1140	C₂³×C₄	—	5	1	no	—
1141	C₂³×C₄	—	5	1	no	—
1142	C₂³×C₄	—	5	1	no	—
1143	C₂³×C₄	—	5	1	no	—
1144	C₂³×C₄	—	5	1	no	—
1145	C₂³×C₄	—	5	1	no	—
1146	C₂³×C₄	—	5	1	no	—
1147	C₂³×C₄	—	5	1	no	—
1148	C₂³×C₄	—	5	1	no	—
1149	C₂³×C₄	—	5	1	no	—
1150	C₂³×C₄	—	5	1	no	—
1151	C₂³×C₄	—	5	1	no	—
1152	#126	—	5	1	no	—
1153	#126	—	5	1	no	—
1154	#126	—	5	1	no	—
1155	#126	—	5	1	no	—
1156	#126	—	5	1	no	—
1157	#126	—	5	1	no	—
1158	#126	—	5	1	no	—
1159	#126	—	5	1	no	—
1160	#126	—	5	1	no	—
1161	#126	—	5	1	no	—
1162	#126	—	5	1	no	—
1163	#126	—	5	1	no	—
1164	#126	—	5	1	no	—
1165	#126	—	5	1	no	—
1166	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1167	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1168	#125	—	5	1	no	—
1169	#125	—	5	1	no	—
1170	#125	—	5	1	no	—
1171	#125	—	5	1	no	—
1172	#125	—	5	1	no	—
1173	#125	—	5	1	no	—
1174	#125	—	5	1	no	—
1175	#125	—	5	1	no	—
1176	#125	—	5	1	no	—
1177	#125	—	5	1	no	—
1178	#125	—	5	1	no	—
1179	#125	—	5	1	no	—
1180	#125	—	5	1	no	—
1181	#125	—	5	1	no	—
1182	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1183	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
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	—	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	—	5	1	no	—
1202	#123	—	5	1	no	—
1203	#123	—	5	1	no	—
1204	#123	—	5	1	no	—
1205	#123	—	5	1	no	—
1206	#123	—	5	1	no	—
1207	#123	—	5	1	no	—
1208	#123	—	5	1	no	—
1209	#123	—	5	1	no	—
1210	#123	—	5	1	no	—
1211	#123	—	5	1	no	—
1212	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1213	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1214	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1215	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1216	C₂²⋊Q₈	—	5	1	no	—
1217	C₂²⋊Q₈	—	5	1	no	—
1218	C₂²⋊Q₈	—	5	1	no	—
1219	C₂²⋊Q₈	—	5	1	no	—
1220	C₂²⋊Q₈	—	5	1	no	—
1221	C₂²⋊Q₈	—	5	1	no	—
1222	C₂²⋊Q₈	—	5	1	no	—
1223	C₂²⋊Q₈	—	5	1	no	—
1224	C₂²⋊Q₈	—	5	1	no	—
1225	C₂²⋊Q₈	—	5	1	no	—
1226	C₂²⋊Q₈	—	5	1	no	—
1227	C₂²⋊Q₈	—	5	1	no	—
1228	C₂²⋊Q₈	—	5	1	no	—
1229	C₂²⋊Q₈	—	5	1	no	—
1230	C₂²⋊Q₈	—	5	1	no	—
1231	C₂²⋊Q₈	—	5	1	no	—
1232	C₂²⋊Q₈	—	5	1	no	—
1233	C₂²⋊Q₈	—	5	1	no	—
1234	C₂²⋊Q₈	—	5	1	no	—
1235	C₂²⋊Q₈	—	5	1	no	—
1236	C₂²⋊Q₈	—	5	1	no	—
1237	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1238	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1239	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1240	#121	—	5	1	no	—
1241	#121	—	5	1	no	—
1242	#121	—	5	1	no	—
1243	#121	—	5	1	no	—
1244	#121	—	5	1	no	—
1245	#121	—	5	1	no	—
1246	#121	—	5	1	no	—
1247	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1248	C₄×Q₈	—	20	2	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	—	10	4	no	—
1264	C₄×D₄	—	10	4	no	—
1265	C₄×D₄	—	10	4	no	—
1266	C₄×D₄	—	10	4	no	—
1267	C₄×D₄	—	20	2	no	—
1268	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1269	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1270	#117	—	10	4	no	—
1271	#117	—	10	4	no	—
1272	#117	—	20	2	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	—	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	—	20	2	no	—
1315	C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
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×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×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	—	5	1	no	—
1350	C₂×C₄²	—	5	1	no	—
1351	C₂×C₄²	—	5	1	no	—
1352	C₂×C₄²	—	5	1	no	—
1353	C₂×C₄²	—	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	—	20	2	no	—
1373	C₂×C₄²	—	20	2	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	#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	C₂²×C₅	—	2	1	no	—
1423	C₂²×C₅	—	2	1	no	—
1424	C₂²×C₅	—	2	1	no	—
1425	C₂²×C₅	—	2	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	C₄×#41	1	2	yes	—
1431	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1432	C₂×D₅	—	2	1	no	—
1433	C₂×D₅	—	2	1	no	—
1434	C₂×D₅	—	2	2	no	—
1435	C₂×D₅	—	2	2	no	—
1436	C₂×D₅	—	2	2	no	—
1437	C₂×D₅	—	2	2	no	—
1438	C₂×D₅	—	2	1	no	—
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	—	4	1	no	—
1445	C₂×D₅	—	4	1	no	—
1446	C₂×D₅	—	4	1	no	—
1447	C₂×D₅	—	4	1	no	—
1448	C₂×D₅	—	4	1	no	—
1449	C₂×D₅	—	4	1	no	—
1450	C₂×D₅	—	4	1	no	—
1451	C₂×D₅	—	4	1	no	—
1452	C₂×D₅	C₄×#41	1	2	yes	—
1453	C₂×D₅	C₂²×#41	1	1	yes	characteristic
1454	C₂×D₅	C₂²×#41	1	1	yes	characteristic
1455	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1456	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1457	C₂×D₅	#585	1	1	yes	characteristic
1458	C₂×D₅	#585	1	1	yes	characteristic
1459	AGL(1,𝔽₅)	—	2	2	no	—
1460	AGL(1,𝔽₅)	—	2	2	no	—
1461	AGL(1,𝔽₅)	—	2	2	no	—
1462	AGL(1,𝔽₅)	—	2	2	no	—
1463	AGL(1,𝔽₅)	—	2	2	no	—
1464	AGL(1,𝔽₅)	—	2	2	no	—
1465	AGL(1,𝔽₅)	—	4	1	no	—
1466	AGL(1,𝔽₅)	—	4	1	no	—
1467	AGL(1,𝔽₅)	—	4	1	no	—
1468	AGL(1,𝔽₅)	—	4	1	no	—
1469	AGL(1,𝔽₅)	—	4	1	no	—
1470	AGL(1,𝔽₅)	—	4	1	no	—
1471	AGL(1,𝔽₅)	—	4	1	no	—
1472	AGL(1,𝔽₅)	—	4	1	no	—
1473	AGL(1,𝔽₅)	—	4	1	no	—
1474	AGL(1,𝔽₅)	—	4	1	no	—
1475	C₄×C₅	—	2	1	no	—
1476	C₄×C₅	—	2	1	no	—
1477	C₄×C₅	—	2	1	no	—
1478	C₄×C₅	—	2	1	no	—
1479	C₄×C₅	—	2	1	no	—
1480	C₄×C₅	—	2	1	no	—
1481	C₄×C₅	—	2	1	no	—
1482	C₄×C₅	—	2	1	no	—
1483	C₄×C₅	—	2	1	no	—
1484	C₄×C₅	—	2	1	no	—
1485	C₄×C₅	—	2	1	no	—
1486	C₄×C₅	—	2	1	no	—
1487	Dic₅	—	2	1	no	—
1488	Dic₅	—	2	1	no	—
1489	Dic₅	—	2	1	no	—
1490	Dic₅	—	2	1	no	—
1491	Dic₅	—	2	1	no	—
1492	Dic₅	—	2	1	no	—
1493	Dic₅	—	2	1	no	—
1494	Dic₅	—	2	1	no	—
1495	Dic₅	—	2	1	no	—
1496	Dic₅	—	2	1	no	—
1497	Dic₅	—	2	1	no	—
1498	Dic₅	—	2	1	no	—
1499	C₂⁴	—	5	1	no	—
1500	C₂⁴	—	5	1	no	—
1501	C₂⁴	—	5	1	no	—
1502	C₂×Q₈	—	5	1	no	—
1503	C₂×Q₈	—	5	1	no	—
1504	C₂×Q₈	—	5	1	no	—
1505	C₂×Q₈	—	20	1	no	—
1506	C₂×Q₈	—	20	1	no	—
1507	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1508	C₂×D₄	—	5	1	no	—
1509	C₂×D₄	—	5	1	no	—
1510	C₂×D₄	—	5	1	no	—
1511	C₂×D₄	—	5	1	no	—
1512	C₂×D₄	—	5	1	no	—
1513	C₂×D₄	—	5	1	no	—
1514	C₂×D₄	—	5	1	no	—
1515	C₂×D₄	—	5	1	no	—
1516	C₂×D₄	—	5	1	no	—
1517	C₂×D₄	—	10	2	no	—
1518	C₂×D₄	—	10	2	no	—
1519	C₂×D₄	—	10	2	no	—
1520	C₂×D₄	—	10	2	no	—
1521	C₂×D₄	—	20	1	no	—
1522	C₂×D₄	—	20	1	no	—
1523	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1524	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1525	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
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	—	5	1	no	—
1546	C₂²×C₄	—	5	1	no	—
1547	C₂²×C₄	—	5	1	no	—
1548	C₂²×C₄	—	5	1	no	—
1549	C₂²×C₄	—	5	1	no	—
1550	C₂²×C₄	—	5	1	no	—
1551	C₂²×C₄	—	5	1	no	—
1552	C₂²×C₄	—	5	1	no	—
1553	C₂²×C₄	—	5	1	no	—
1554	C₂²×C₄	—	5	1	no	—
1555	C₂²×C₄	—	5	1	no	—
1556	C₂²×C₄	—	5	1	no	—
1557	C₂²×C₄	—	5	1	no	—
1558	C₂²×C₄	—	5	1	no	—
1559	C₂²×C₄	—	5	1	no	—
1560	C₂²×C₄	—	5	1	no	—
1561	C₂²×C₄	—	5	1	no	—
1562	C₂²×C₄	—	5	1	no	—
1563	C₂²×C₄	—	5	1	no	—
1564	C₂²×C₄	—	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	—	10	2	no	—
1570	C₂²×C₄	—	10	2	no	—
1571	C₂²×C₄	—	10	2	no	—
1572	C₂²×C₄	—	10	2	no	—
1573	C₂²×C₄	—	10	2	no	—
1574	C₂²×C₄	—	10	2	no	—
1575	C₂²×C₄	—	10	2	no	—
1576	C₂²×C₄	—	10	2	no	—
1577	C₂²×C₄	—	10	2	no	—
1578	C₂²×C₄	—	10	2	no	—
1579	C₂²×C₄	—	10	2	no	—
1580	C₂²×C₄	—	10	2	no	—
1581	C₂²×C₄	—	10	2	no	—
1582	C₂²×C₄	—	10	2	no	—
1583	C₂²×C₄	—	20	1	no	—
1584	C₂²×C₄	—	20	1	no	—
1585	C₂²×C₄	—	20	1	no	—
1586	C₂²×C₄	—	20	1	no	—
1587	C₂²×C₄	—	20	1	no	—
1588	C₂²×C₄	—	20	1	no	—
1589	C₂²×C₄	—	20	1	no	—
1590	C₂²×C₄	—	20	1	no	—
1591	C₂²×C₄	—	20	1	no	—
1592	C₂²×C₄	—	20	1	no	—
1593	C₂²×C₄	—	20	1	no	—
1594	C₂²×C₄	—	20	1	no	—
1595	C₂²×C₄	—	20	1	no	—
1596	C₂²×C₄	—	20	1	no	—
1597	C₂²×C₄	—	20	1	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	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1604	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1605	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1606	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1607	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
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	—	5	1	no	—
1615	C₄⋊C₄	—	5	1	no	—
1616	C₄⋊C₄	—	5	1	no	—
1617	C₄⋊C₄	—	5	1	no	—
1618	C₄⋊C₄	—	5	1	no	—
1619	C₄⋊C₄	—	5	1	no	—
1620	C₄⋊C₄	—	5	1	no	—
1621	C₄⋊C₄	—	5	1	no	—
1622	C₄⋊C₄	—	5	1	no	—
1623	C₄⋊C₄	—	5	1	no	—
1624	C₄⋊C₄	—	5	1	no	—
1625	C₄⋊C₄	—	5	1	no	—
1626	C₄⋊C₄	—	5	1	no	—
1627	C₄⋊C₄	—	5	1	no	—
1628	C₄⋊C₄	—	5	1	no	—
1629	C₄⋊C₄	—	5	1	no	—
1630	C₄⋊C₄	—	5	1	no	—
1631	C₄⋊C₄	—	5	1	no	—
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	—	10	2	no	—
1651	C₄⋊C₄	—	10	2	no	—
1652	C₄⋊C₄	—	10	2	no	—
1653	C₄⋊C₄	—	10	2	no	—
1654	C₄⋊C₄	—	10	2	no	—
1655	C₄⋊C₄	—	10	2	no	—
1656	C₄⋊C₄	—	10	2	no	—
1657	C₄⋊C₄	—	10	2	no	—
1658	C₄⋊C₄	—	10	2	no	—
1659	C₄⋊C₄	—	10	2	no	—
1660	C₄⋊C₄	—	10	2	no	—
1661	C₄⋊C₄	—	10	2	no	—
1662	C₄⋊C₄	—	20	1	no	—
1663	C₄⋊C₄	—	20	1	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	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1671	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1672	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1673	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1674	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1675	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1676	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1677	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1678	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1679	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1680	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1681	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1682	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1683	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1684	C₂²⋊C₄	—	5	4	no	—
1685	C₂²⋊C₄	—	5	4	no	—
1686	C₂²⋊C₄	—	5	1	no	—
1687	C₂²⋊C₄	—	5	1	no	—
1688	C₂²⋊C₄	—	5	1	no	—
1689	C₂²⋊C₄	—	5	1	no	—
1690	C₂²⋊C₄	—	5	1	no	—
1691	C₂²⋊C₄	—	5	1	no	—
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	—	10	2	no	—
1717	C₂²⋊C₄	—	10	2	no	—
1718	C₂²⋊C₄	—	10	2	no	—
1719	C₂²⋊C₄	—	10	2	no	—
1720	C₂²⋊C₄	—	10	2	no	—
1721	C₂²⋊C₄	—	10	2	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	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1731	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1732	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1733	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1734	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1735	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1736	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1737	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1738	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1739	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1740	C₄²	—	5	1	no	—
1741	C₄²	—	5	1	no	—
1742	C₄²	—	5	1	no	—
1743	C₄²	—	5	1	no	—
1744	C₄²	—	5	1	no	—
1745	C₄²	—	5	1	no	—
1746	C₄²	—	10	2	no	—
1747	C₄²	—	10	2	no	—
1748	C₄²	—	10	2	no	—
1749	C₄²	—	10	2	no	—
1750	C₄²	—	10	2	no	—
1751	C₄²	—	10	2	no	—
1752	C₄²	—	10	2	no	—
1753	C₄²	—	10	2	no	—
1754	C₄²	—	10	2	no	—
1755	C₄²	—	10	2	no	—
1756	C₄²	—	10	2	no	—
1757	C₄²	—	10	2	no	—
1758	C₄²	—	20	1	no	—
1759	C₄²	—	20	1	no	—
1760	C₄²	—	20	1	no	—
1761	C₄²	—	20	1	no	—
1762	C₄²	—	20	1	no	—
1763	C₄²	—	20	1	no	—
1764	C₄²	—	20	1	no	—
1765	C₄²	—	20	1	no	—
1766	C₄²	—	20	1	no	—
1767	C₄²	—	20	1	no	—
1768	C₄²	—	20	1	no	—
1769	C₄²	—	20	1	no	—
1770	C₄²	—	20	1	no	—
1771	C₄²	—	20	1	no	—
1772	C₄²	—	20	1	no	—
1773	C₄²	—	20	1	no	—
1774	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1775	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1776	C₂×C₅	—	2	2	no	—
1777	C₂×C₅	—	4	1	no	—
1778	C₂×C₅	—	4	1	no	—
1779	C₂×C₅	C₂×C₄×#41	1	1	yes	characteristic
1780	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1781	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1782	D₅	—	2	2	no	—
1783	D₅	—	4	1	no	—
1784	D₅	—	4	1	no	—
1785	D₅	#3513	1	1	yes	characteristic
1786	D₅	#3515	1	1	yes	characteristic
1787	D₅	#3520	1	1	yes	characteristic
1788	D₅	#3521	1	1	yes	characteristic
1789	C₂³	—	5	1	no	—
1790	C₂³	—	5	2	no	—
1791	C₂³	—	5	2	no	—
1792	C₂³	—	5	1	no	—
1793	C₂³	—	5	1	no	—
1794	C₂³	—	5	1	no	—
1795	C₂³	—	10	1	no	—
1796	C₂³	—	10	1	no	—
1797	C₂³	—	10	1	no	—
1798	C₂³	—	10	1	no	—
1799	C₂³	—	10	1	no	—
1800	C₂³	—	10	1	no	—
1801	C₂³	—	10	1	no	—
1802	C₂³	—	10	1	no	—
1803	C₂³	—	10	1	no	—
1804	C₂³	—	10	1	no	—
1805	C₂³	—	10	1	no	—
1806	C₂³	—	10	1	no	—
1807	C₂³	—	10	1	no	—
1808	C₂³	—	10	1	no	—
1809	C₂³	—	10	1	no	—
1810	C₂³	—	10	1	no	—
1811	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1812	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1813	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1814	Q₈	—	4	1	no	—
1815	Q₈	—	20	1	no	—
1816	Q₈	—	20	1	no	—
1817	Q₈	—	20	1	no	—
1818	D₄	—	2	2	no	—
1819	D₄	—	2	2	no	—
1820	D₄	—	4	1	no	—
1821	D₄	—	10	2	no	—
1822	D₄	—	10	2	no	—
1823	D₄	—	10	2	no	—
1824	D₄	—	10	2	no	—
1825	D₄	—	10	2	no	—
1826	D₄	—	10	2	no	—
1827	D₄	—	20	1	no	—
1828	D₄	—	20	1	no	—
1829	D₄	—	20	1	no	—
1830	C₂×C₄	—	2	2	no	—
1831	C₂×C₄	—	4	1	no	—
1832	C₂×C₄	—	4	1	no	—
1833	C₂×C₄	—	4	1	no	—
1834	C₂×C₄	—	4	1	no	—
1835	C₂×C₄	—	5	2	no	—
1836	C₂×C₄	—	5	2	no	—
1837	C₂×C₄	—	5	2	no	—
1838	C₂×C₄	—	5	2	no	—
1839	C₂×C₄	—	5	2	no	—
1840	C₂×C₄	—	5	2	no	—
1841	C₂×C₄	—	5	1	no	—
1842	C₂×C₄	—	5	1	no	—
1843	C₂×C₄	—	5	1	no	—
1844	C₂×C₄	—	5	1	no	—
1845	C₂×C₄	—	5	1	no	—
1846	C₂×C₄	—	5	1	no	—
1847	C₂×C₄	—	5	1	no	—
1848	C₂×C₄	—	5	1	no	—
1849	C₂×C₄	—	5	1	no	—
1850	C₂×C₄	—	5	1	no	—
1851	C₂×C₄	—	5	1	no	—
1852	C₂×C₄	—	5	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	2	no	—
1878	C₂×C₄	—	10	2	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	—	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	2	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	—	20	1	no	—
1923	C₂×C₄	—	20	1	no	—
1924	C₂×C₄	—	20	1	no	—
1925	C₂×C₄	—	20	1	no	—
1926	C₂×C₄	—	20	1	no	—
1927	C₂×C₄	—	20	1	no	—
1928	C₂×C₄	—	20	1	no	—
1929	C₂×C₄	—	20	1	no	—
1930	C₂×C₄	—	20	1	no	—
1931	C₂×C₄	—	20	1	no	—
1932	C₂×C₄	—	20	1	no	—
1933	C₂×C₄	—	20	1	no	—
1934	C₂×C₄	—	20	4	no	—
1935	C₂×C₄	—	20	4	no	—
1936	C₂×C₄	—	20	4	no	—
1937	C₂×C₄	—	20	4	no	—
1938	C₂×C₄	—	40	2	no	—
1939	C₂×C₄	—	40	2	no	—
1940	C₂×C₄	—	40	2	no	—
1941	C₂×C₄	—	40	2	no	—
1942	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1943	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1944	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1945	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1946	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1947	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1948	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1949	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1950	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1951	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1952	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1953	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1954	C₅	#34282	1	1	yes	characteristic, complemented, Sylow
1955	C₂²	—	2	1	no	—
1956	C₂²	—	2	1	no	—
1957	C₂²	—	2	1	no	—
1958	C₂²	—	2	1	no	—
1959	C₂²	—	2	1	no	—
1960	C₂²	—	2	1	no	—
1961	C₂²	—	2	1	no	—
1962	C₂²	—	2	1	no	—
1963	C₂²	—	5	1	no	—
1964	C₂²	—	5	1	no	—
1965	C₂²	—	5	1	no	—
1966	C₂²	—	5	1	no	—
1967	C₂²	—	5	1	no	—
1968	C₂²	—	5	1	no	—
1969	C₂²	—	5	2	no	—
1970	C₂²	—	10	2	no	—
1971	C₂²	—	10	2	no	—
1972	C₂²	—	10	2	no	—
1973	C₂²	—	10	2	no	—
1974	C₂²	—	10	1	no	—
1975	C₂²	—	10	1	no	—
1976	C₂²	—	10	1	no	—
1977	C₂²	—	10	1	no	—
1978	C₂²	—	10	1	no	—
1979	C₂²	—	10	1	no	—
1980	C₂²	—	10	1	no	—
1981	C₂²	—	10	1	no	—
1982	C₂²	—	20	1	no	—
1983	C₂²	—	20	1	no	—
1984	C₂²	—	20	1	no	—
1985	C₂²	—	20	1	no	—
1986	C₂²	—	20	1	no	—
1987	C₂²	—	20	1	no	—
1988	C₂²	—	20	1	no	—
1989	C₂²	—	20	1	no	—
1990	C₂²	#41×AGL(1,𝔽₅)	1	2	yes	—
1991	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
1992	C₄	—	2	1	no	—
1993	C₄	—	2	1	no	—
1994	C₄	—	2	1	no	—
1995	C₄	—	2	1	no	—
1996	C₄	—	2	1	no	—
1997	C₄	—	2	1	no	—
1998	C₄	—	2	1	no	—
1999	C₄	—	2	1	no	—
2000	C₄	—	2	1	no	—
2001	C₄	—	2	1	no	—
2002	C₄	—	2	1	no	—
2003	C₄	—	2	1	no	—
2004	C₄	—	10	2	no	—
2005	C₄	—	10	2	no	—
2006	C₄	—	10	2	no	—
2007	C₄	—	10	2	no	—
2008	C₄	—	10	2	no	—
2009	C₄	—	10	2	no	—
2010	C₄	—	10	1	no	—
2011	C₄	—	10	1	no	—
2012	C₄	—	10	1	no	—
2013	C₄	—	10	1	no	—
2014	C₄	—	10	1	no	—
2015	C₄	—	10	1	no	—
2016	C₄	—	10	1	no	—
2017	C₄	—	10	1	no	—
2018	C₄	—	10	1	no	—
2019	C₄	—	10	1	no	—
2020	C₄	—	10	1	no	—
2021	C₄	—	10	1	no	—
2022	C₄	—	20	1	no	—
2023	C₄	—	20	1	no	—
2024	C₄	—	20	1	no	—
2025	C₄	—	20	1	no	—
2026	C₄	—	20	1	no	—
2027	C₄	—	20	1	no	—
2028	C₄	—	20	1	no	—
2029	C₄	—	20	1	no	—
2030	C₄	—	20	1	no	—
2031	C₄	—	20	1	no	—
2032	C₂	—	2	2	no	—
2033	C₂	—	4	1	no	—
2034	C₂	—	4	1	no	—
2035	C₂	—	5	1	no	—
2036	C₂	—	5	1	no	—
2037	C₂	—	5	1	no	—
2038	C₂	—	5	1	no	—
2039	C₂	—	10	2	no	—
2040	C₂	—	20	1	no	—
2041	C₂	—	20	1	no	—
2042	C₂	C₂×#41×AGL(1,𝔽₅)	1	1	yes	characteristic
2043	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic
2044	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	#34282
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. AGL(1,𝔽₅)×#126	C₂	semidirect
6. #10617347	C₂	semidirect
7. #10617346	C₂	semidirect
8. #10617345	C₂	semidirect
9. AGL(1,𝔽₅)×#125	C₂	semidirect
10. #10617307	C₂	semidirect
11. #10617306	C₂	semidirect
12. #10617306	C₂	semidirect
13. #10617306	C₂	semidirect
14. #10617306	C₂	semidirect
15. #10617306	C₂	semidirect
16. #10617305	C₂	semidirect
17. AGL(1,𝔽₅)×#123	C₂	semidirect
18. #10617287	C₂	semidirect
19. #10617287	C₂	semidirect
20. #10617286	C₂	semidirect
21. #10617285	C₂	semidirect
22. #10617284	C₂	semidirect
23. AGL(1,𝔽₅)×C₂²⋊Q₈	C₂	semidirect
26. #10617175	C₂	semidirect
27. #10617173	C₂	semidirect
28. #10617172	C₂	semidirect
29. C₄×D₄×AGL(1,𝔽₅)	C₂	semidirect
30. C₂×#65711	C₂	semidirect
31. #10617098	C₂	semidirect
44. C₅×#539	C₄	semidirect
45. #66041	C₄	semidirect
46. #66041	C₄	semidirect
49. #66026	C₄	semidirect
50. #66026	C₄	semidirect
53. #65999	C₄	semidirect
54. #65999	C₄	semidirect
55. #65994	C₄	semidirect
56. #65994	C₄	semidirect
61. #65979	C₄	semidirect
62. #65972	C₄	semidirect
63. #65972	C₄	semidirect
68. #65936	C₄	semidirect
69. #65898	C₄	semidirect
70. #65898	C₄	semidirect
73. #65849	C₄	semidirect
297. C₅×#126	C₂×C₄	semidirect
298. C₅×#126	C₂×C₄	semidirect
299. C₅×#125	C₂×C₄	semidirect
300. C₅×#125	C₂×C₄	semidirect
301. C₅×#123	C₂×C₄	semidirect
302. C₅×#123	C₂×C₄	semidirect
303. C₅×#123	C₂×C₄	semidirect
304. C₅×#123	C₂×C₄	semidirect
305. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
306. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
307. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
309. C₄×C₅×D₄	C₂×C₄	semidirect
310. C₄×C₅×D₄	C₂×C₄	semidirect
311. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
312. #4092	C₂×C₄	semidirect
313. #4092	C₂×C₄	semidirect
314. #4092	C₂×C₄	semidirect
318. #4081	C₂×C₄	semidirect
319. #4081	C₂×C₄	semidirect
320. #4081	C₂×C₄	semidirect
321. #4081	C₂×C₄	semidirect
322. D₄×Dic₅	C₂×C₄	semidirect
323. D₄×Dic₅	C₂×C₄	semidirect
325. #4075	C₂×C₄	semidirect
326. #4075	C₂×C₄	semidirect
327. #4075	C₂×C₄	semidirect
328. #4075	C₂×C₄	semidirect
329. C₄×C₂²⋊D₅	C₂×C₄	semidirect
330. C₄×C₂²⋊D₅	C₂×C₄	semidirect
331. C₄×C₂²⋊D₅	C₂×C₄	semidirect
332. C₄×C₂²⋊D₅	C₂×C₄	semidirect
333. C₂×C₄⋊Dic₅	C₂×C₄	semidirect
334. #4070	C₂×C₄	semidirect
335. #4070	C₂×C₄	semidirect
336. #4070	C₂×C₄	semidirect
337. C₂×#683	C₂×C₄	semidirect
338. C₂×#683	C₂×C₄	semidirect
339. #4044	C₂×C₄	semidirect
340. #4044	C₂×C₄	semidirect
341. #4044	C₂×C₄	semidirect
342. #4044	C₂×C₄	semidirect
343. #4044	C₂×C₄	semidirect
344. #4044	C₂×C₄	semidirect
345. #4043	C₂×C₄	semidirect
346. #4043	C₂×C₄	semidirect
347. #4043	C₂×C₄	semidirect
348. #4042	C₂×C₄	semidirect
349. #4042	C₂×C₄	semidirect
350. #4042	C₂×C₄	semidirect
351. #4042	C₂×C₄	semidirect
352. #4042	C₂×C₄	semidirect
353. #4042	C₂×C₄	semidirect
355. #4040	C₂×C₄	semidirect
356. #4040	C₂×C₄	semidirect
357. #4040	C₂×C₄	semidirect
358. #4040	C₂×C₄	semidirect
359. #4040	C₂×C₄	semidirect
360. #4040	C₂×C₄	semidirect
361. #4040	C₂×C₄	semidirect
362. #4040	C₂×C₄	semidirect
363. #4039	C₂×C₄	semidirect
364. #4039	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
383. #4036	C₂×C₄	semidirect
384. #4036	C₂×C₄	semidirect
385. #4036	C₂×C₄	semidirect
386. #4036	C₂×C₄	semidirect
387. #4035	C₂×C₄	semidirect
388. #4035	C₂×C₄	semidirect
389. #4035	C₂×C₄	semidirect
390. #4035	C₂×C₄	semidirect
391. #4035	C₂×C₄	semidirect
392. #4035	C₂×C₄	semidirect
393. #4035	C₂×C₄	semidirect
394. #4035	C₂×C₄	semidirect
395. #4032	C₂×C₄	semidirect
396. #4032	C₂×C₄	semidirect
397. #4032	C₂×C₄	semidirect
398. #4032	C₂×C₄	semidirect
401. #4029	C₂×C₄	semidirect
402. #4029	C₂×C₄	semidirect
403. #4029	C₂×C₄	semidirect
404. #4029	C₂×C₄	semidirect
405. #4029	C₂×C₄	semidirect
406. #4029	C₂×C₄	semidirect
407. #4029	C₂×C₄	semidirect
408. #4029	C₂×C₄	semidirect
409. #4027	C₂×C₄	semidirect
410. #4027	C₂×C₄	semidirect
411. #4027	C₂×C₄	semidirect
412. #4027	C₂×C₄	semidirect
423. #4025	C₂×C₄	semidirect
424. #4025	C₂×C₄	semidirect
425. #4025	C₂×C₄	semidirect
426. #4025	C₂×C₄	semidirect
427. #4025	C₂×C₄	semidirect
428. #4025	C₂×C₄	semidirect
429. #4024	C₂×C₄	semidirect
430. #4024	C₂×C₄	semidirect
431. #4024	C₂×C₄	semidirect
432. #4024	C₂×C₄	semidirect
433. #4024	C₂×C₄	semidirect
434. #4024	C₂×C₄	semidirect
435. #4022	C₂×C₄	semidirect
436. #4022	C₂×C₄	semidirect
437. C₄×D₂₀	C₂×C₄	semidirect
438. C₄×D₂₀	C₂×C₄	semidirect
441. #4016	C₂×C₄	semidirect
442. #4016	C₂×C₄	semidirect
814. #539	AGL(1,𝔽₅)	semidirect
1166. #126	C₂×AGL(1,𝔽₅)	semidirect
1167. #126	C₂×AGL(1,𝔽₅)	semidirect
1182. #125	C₂×AGL(1,𝔽₅)	semidirect
1183. #125	C₂×AGL(1,𝔽₅)	semidirect
1212. #123	C₂×AGL(1,𝔽₅)	semidirect
1213. #123	C₂×AGL(1,𝔽₅)	semidirect
1214. #123	C₂×AGL(1,𝔽₅)	semidirect
1215. #123	C₂×AGL(1,𝔽₅)	semidirect
1237. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1238. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1239. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1268. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1269. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1315. C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	semidirect
1954. C₅	#34282	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
AGL(1,𝔽₅)×#126	2
#10617347	2
#10617346	2
#10617345	2
AGL(1,𝔽₅)×#125	2
#10617307	2
#10617306	2
#10617305	2
AGL(1,𝔽₅)×#123	2
#10617287	2
#10617286	2
#10617285	2
#10617284	2
AGL(1,𝔽₅)×C₂²⋊Q₈	2
#10617255	2
#10617253	2
#10617175	2
#10617173	2
#10617172	2
C₄×D₄×AGL(1,𝔽₅)	2
C₂×#65711	2
#10617098	2
#34282	5