Subgroups — #13044140

Order 1280.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#552	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	#10617347	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617346	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617345	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617345	C₂	1	1	yes	maximal, characteristic, complemented
11	AGL(1,𝔽₅)×#125	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617306	C₂	1	1	yes	maximal, characteristic
13	#10617306	C₂	1	1	yes	maximal, characteristic
14	#10617304	C₂	1	1	yes	maximal, characteristic
15	AGL(1,𝔽₅)×#123	C₂	1	1	yes	maximal, characteristic
16	#10617287	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617287	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617284	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617283	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617214	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617209	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617180	C₂	1	1	yes	maximal, characteristic
23	#10617172	C₂	1	1	yes	maximal, characteristic
24	#10617132	C₂	1	1	yes	maximal, characteristic, complemented
25	#10617132	C₂	1	1	yes	maximal, characteristic, complemented
26	#10617132	C₂	1	1	yes	maximal, characteristic, complemented
27	#10617129	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617127	C₂	1	1	yes	maximal, characteristic, complemented
29	AGL(1,𝔽₅)×#117	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617103	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65711	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	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
37	C₂²×C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
38	C₅×#552	C₄	1	1	yes	characteristic, complemented
39	#66042	C₄	1	1	yes	characteristic, complemented
40	#66042	C₄	1	1	yes	characteristic, complemented
41	D₅×#126	C₂²	1	1	yes	characteristic
42	D₅×#126	C₂²	1	1	yes	characteristic
43	#66028	C₄	1	1	yes	characteristic, complemented
44	#66027	C₄	1	1	yes	characteristic, complemented
45	#66027	C₄	1	1	yes	characteristic, complemented
46	D₅×#125	C₂²	1	1	yes	characteristic
47	D₅×#125	C₂²	1	1	yes	characteristic
48	D₅×#125	C₂²	1	1	yes	characteristic
49	D₅×#123	C₂²	1	1	yes	characteristic
50	D₅×#123	C₂²	1	1	yes	characteristic
51	#65984	C₄	1	1	yes	characteristic, complemented
52	#65984	C₄	1	1	yes	characteristic, complemented
53	#65976	C₄	1	1	yes	characteristic, complemented
54	#65973	C₄	1	1	yes	characteristic, complemented
55	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
56	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
57	#65915	C₄	1	1	yes	characteristic, complemented
58	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
59	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
60	#65875	C₄	1	1	yes	characteristic, complemented
61	#65865	C₄	1	1	yes	characteristic, complemented
62	#65865	C₄	1	1	yes	characteristic, complemented
63	#65863	C₄	1	1	yes	characteristic, complemented
64	D₅×#117	C₂²	1	1	yes	characteristic
65	D₅×#117	C₂²	1	1	yes	characteristic
66	D₅×#117	C₂²	1	1	yes	characteristic
67	#65847	C₄	1	1	yes	characteristic, complemented
68	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
70	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
71	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
72	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
73	#65779	C₂²	1	1	yes	characteristic
74	#65779	C₂²	1	1	yes	characteristic
75	#65765	C₂²	1	1	yes	characteristic
76	#65764	C₂²	1	1	yes	characteristic
77	#65764	C₂²	1	1	yes	characteristic
78	#65764	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
81	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
82	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
83	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
84	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
85	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
86	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
87	#65712	C₂²	1	1	yes	characteristic
88	#65712	C₂²	1	1	yes	characteristic
89	#65712	C₂²	1	1	yes	characteristic
90	#65712	C₂²	1	1	yes	characteristic
91	#65712	C₂²	1	1	yes	characteristic
92	#65712	C₂²	1	1	yes	characteristic
93	#65712	C₂²	1	1	yes	characteristic
94	#65712	C₂²	1	1	yes	characteristic
95	#65711	C₂²	1	1	yes	characteristic
96	#65711	C₂²	1	1	yes	characteristic
97	#65711	C₂²	1	1	yes	characteristic
98	#65711	C₂²	1	1	yes	characteristic
99	#65711	C₂²	1	1	yes	characteristic
100	#65711	C₂²	1	1	yes	characteristic
101	#65711	C₂²	1	1	yes	characteristic
102	#65711	C₂²	1	1	yes	characteristic
103	#65711	C₂²	1	1	yes	characteristic
104	#65711	C₂²	1	1	yes	characteristic
105	#65711	C₂²	1	1	yes	characteristic
106	#65711	C₂²	1	1	yes	characteristic
107	#65711	C₂²	1	1	yes	characteristic
108	#65711	C₂²	1	1	yes	characteristic
109	#65711	C₂²	1	1	yes	characteristic
110	#65711	C₂²	1	1	yes	characteristic
111	#65711	C₂²	1	1	yes	characteristic
112	#65711	C₂²	1	1	yes	characteristic
113	#65711	C₂²	1	1	yes	characteristic
114	#65711	C₂²	1	1	yes	characteristic
115	#65711	C₂²	1	1	yes	characteristic
116	#65711	C₂²	1	1	yes	characteristic
117	#65711	C₂²	1	1	yes	characteristic
118	#65711	C₂²	1	1	yes	characteristic
119	#65711	C₂²	1	1	yes	characteristic
120	#65711	C₂²	1	1	yes	characteristic
121	#65711	C₂²	1	1	yes	characteristic
122	#65711	C₂²	1	1	yes	characteristic
123	#65711	C₂²	1	1	yes	characteristic
124	#65711	C₂²	1	1	yes	characteristic
125	#65711	C₂²	1	1	yes	characteristic
126	#65711	C₂²	1	1	yes	characteristic
127	#65711	C₂²	1	1	yes	characteristic
128	#65711	C₂²	1	1	yes	characteristic
129	#65711	C₂²	1	1	yes	characteristic
130	#65711	C₂²	1	1	yes	characteristic
131	#65711	C₂²	1	1	yes	characteristic
132	#65711	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×AGL(1,𝔽₅)	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	#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	#65699	C₂²	1	1	yes	characteristic
162	#65699	C₂²	1	1	yes	characteristic
163	#65699	C₂²	1	1	yes	characteristic
164	#65699	C₂²	1	1	yes	characteristic
165	#65699	C₂²	1	1	yes	characteristic
166	#65699	C₂²	1	1	yes	characteristic
167	#65699	C₂²	1	1	yes	characteristic
168	#65699	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
170	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
171	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
172	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
173	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
174	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
175	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
176	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
177	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
178	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
179	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
180	C₂²⋊C₄×AGL(1,𝔽₅)	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	#65690	C₂²	1	1	yes	characteristic
184	#65690	C₂²	1	1	yes	characteristic
185	#65690	C₂²	1	1	yes	characteristic
186	#65689	C₂²	1	1	yes	characteristic
187	#65689	C₂²	1	1	yes	characteristic
188	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
189	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
190	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
191	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
192	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
193	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
194	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
195	#65686	C₂²	1	1	yes	characteristic
196	#65686	C₂²	1	1	yes	characteristic
197	#65686	C₂²	1	1	yes	characteristic
198	#65686	C₂²	1	1	yes	characteristic
199	#65686	C₂²	1	1	yes	characteristic
200	#65686	C₂²	1	1	yes	characteristic
201	C₄²×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
202	C₄²×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
203	#34297	—	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×Q₈×D₅	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
226	D₄×AGL(1,𝔽₅)	—	2	4	no	—
227	D₄×AGL(1,𝔽₅)	—	2	4	no	—
228	#4130	—	2	4	no	—
229	#4130	—	2	4	no	—
230	C₂×C₄⋊AGL(1,𝔽₅)	—	2	4	no	—
231	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
251	C₂×C₄×AGL(1,𝔽₅)	—	2	4	no	—
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)	C₂³	1	1	yes	characteristic
268	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
269	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
270	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
271	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
272	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
273	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
274	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
275	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
276	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
277	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
278	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
279	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
280	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
281	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
282	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
283	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
284	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
285	C₅×#123	C₂×C₄	1	1	yes	characteristic
286	C₅×#123	C₂×C₄	1	1	yes	characteristic
287	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
288	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
289	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
290	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
291	C₅×#117	C₂×C₄	1	1	yes	characteristic, complemented
292	C₅×#117	C₂×C₄	1	1	yes	characteristic, complemented
293	C₅×#117	C₂×C₄	1	1	yes	characteristic, complemented
294	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
295	#4092	C₂×C₄	1	1	yes	characteristic, complemented
296	#4092	C₂×C₄	1	1	yes	characteristic, complemented
297	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
298	#4081	C₂×C₄	1	1	yes	characteristic
299	#4081	C₂×C₄	1	1	yes	characteristic
300	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
301	#4075	C₂×C₄	1	1	yes	characteristic
302	#4075	C₂×C₄	1	1	yes	characteristic
303	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
304	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
305	#4072	C₂×C₄	1	1	yes	characteristic, complemented
306	#4072	C₂×C₄	1	1	yes	characteristic, complemented
307	#4072	C₂×C₄	1	1	yes	characteristic, complemented
308	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
309	#4070	C₂×C₄	1	1	yes	characteristic, complemented
310	#4070	C₂×C₄	1	1	yes	characteristic, complemented
311	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
312	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
313	#4044	C₂×C₄	1	1	yes	characteristic, complemented
314	#4044	C₂×C₄	1	1	yes	characteristic, complemented
315	#4044	C₂×C₄	1	1	yes	characteristic, complemented
316	#4044	C₂×C₄	1	1	yes	characteristic, complemented
317	#4044	C₂×C₄	1	1	yes	characteristic, complemented
318	#4044	C₂×C₄	1	1	yes	characteristic, complemented
319	#4043	C₂×C₄	1	1	yes	characteristic, complemented
320	#4043	C₂×C₄	1	1	yes	characteristic, complemented
321	#4042	C₂×C₄	1	1	yes	characteristic, complemented
322	#4042	C₂×C₄	1	1	yes	characteristic, complemented
323	#4042	C₂×C₄	1	1	yes	characteristic, complemented
324	#4042	C₂×C₄	1	1	yes	characteristic, complemented
325	#4040	C₂×C₄	1	1	yes	characteristic
326	#4040	C₂×C₄	1	1	yes	characteristic
327	#4040	C₂×C₄	1	1	yes	characteristic
328	#4040	C₂×C₄	1	1	yes	characteristic
329	#4039	C₂×C₄	1	1	yes	characteristic
330	#4038	C₂×C₄	1	1	yes	characteristic, complemented
331	#4038	C₂×C₄	1	1	yes	characteristic, complemented
332	#4038	C₂×C₄	1	1	yes	characteristic, complemented
333	#4038	C₂×C₄	1	1	yes	characteristic, complemented
334	#4038	C₂×C₄	1	1	yes	characteristic, complemented
335	#4038	C₂×C₄	1	1	yes	characteristic, complemented
336	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
337	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
338	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
339	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
340	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
341	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
342	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
343	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
346	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
347	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
348	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
349	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
350	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
351	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
352	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
353	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
354	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
355	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
356	#4036	C₂×C₄	1	1	yes	characteristic, complemented
357	#4036	C₂×C₄	1	1	yes	characteristic, complemented
358	#4036	C₂×C₄	1	1	yes	characteristic, complemented
359	#4036	C₂×C₄	1	1	yes	characteristic, complemented
360	#4036	C₂×C₄	1	1	yes	characteristic, complemented
361	#4036	C₂×C₄	1	1	yes	characteristic, complemented
362	#4035	C₂×C₄	1	1	yes	characteristic, complemented
363	#4035	C₂×C₄	1	1	yes	characteristic, complemented
364	#4035	C₂×C₄	1	1	yes	characteristic, complemented
365	#4035	C₂×C₄	1	1	yes	characteristic, complemented
366	#4035	C₂×C₄	1	1	yes	characteristic, complemented
367	#4035	C₂×C₄	1	1	yes	characteristic, complemented
368	#4035	C₂×C₄	1	1	yes	characteristic, complemented
369	#4035	C₂×C₄	1	1	yes	characteristic, complemented
370	#4035	C₂×C₄	1	1	yes	characteristic, complemented
371	#4035	C₂×C₄	1	1	yes	characteristic, complemented
372	#4035	C₂×C₄	1	1	yes	characteristic, complemented
373	#4035	C₂×C₄	1	1	yes	characteristic, complemented
374	#4033	C₂×C₄	1	1	yes	characteristic, complemented
375	#4033	C₂×C₄	1	1	yes	characteristic, complemented
376	#4033	C₂×C₄	1	1	yes	characteristic, complemented
377	#4032	C₂×C₄	1	1	yes	characteristic
378	#4032	C₂×C₄	1	1	yes	characteristic
379	#4029	C₂×C₄	1	1	yes	characteristic
380	#4029	C₂×C₄	1	1	yes	characteristic
381	#4029	C₂×C₄	1	1	yes	characteristic
382	#4029	C₂×C₄	1	1	yes	characteristic
383	#4027	C₂×C₄	1	1	yes	characteristic
384	#4027	C₂×C₄	1	1	yes	characteristic
385	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
386	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
387	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
388	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
389	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
390	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
391	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
392	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
393	#4025	C₂×C₄	1	1	yes	characteristic, complemented
394	#4025	C₂×C₄	1	1	yes	characteristic, complemented
395	#4025	C₂×C₄	1	1	yes	characteristic, complemented
396	#4025	C₂×C₄	1	1	yes	characteristic, complemented
397	#4025	C₂×C₄	1	1	yes	characteristic, complemented
398	#4025	C₂×C₄	1	1	yes	characteristic, complemented
399	#4024	C₂×C₄	1	1	yes	characteristic, complemented
400	#4024	C₂×C₄	1	1	yes	characteristic, complemented
401	#4024	C₂×C₄	1	1	yes	characteristic, complemented
402	#4024	C₂×C₄	1	1	yes	characteristic, complemented
403	#4023	C₂×C₄	1	1	yes	characteristic, complemented
404	#4023	C₂×C₄	1	1	yes	characteristic, complemented
405	#4023	C₂×C₄	1	1	yes	characteristic, complemented
406	#4023	C₂×C₄	1	1	yes	characteristic, complemented
407	#4023	C₂×C₄	1	1	yes	characteristic, complemented
408	#4023	C₂×C₄	1	1	yes	characteristic, complemented
409	#4022	C₂×C₄	1	1	yes	characteristic, complemented
410	#4022	C₂×C₄	1	1	yes	characteristic, complemented
411	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
412	#4018	C₂×C₄	1	1	yes	characteristic, complemented
413	#4018	C₂×C₄	1	1	yes	characteristic, complemented
414	#4018	C₂×C₄	1	1	yes	characteristic, complemented
415	#4018	C₂×C₄	1	1	yes	characteristic, complemented
416	#4018	C₂×C₄	1	1	yes	characteristic, complemented
417	#4018	C₂×C₄	1	1	yes	characteristic, complemented
418	C₄²×D₅	C₂³	1	1	yes	characteristic
419	C₄²×D₅	C₂³	1	1	yes	characteristic
420	C₄²×D₅	C₂³	1	1	yes	characteristic
421	C₄²×D₅	C₂³	1	1	yes	characteristic
422	C₄²×D₅	C₂³	1	1	yes	characteristic
423	#4016	C₂×C₄	1	1	yes	characteristic, complemented
424	#4016	C₂×C₄	1	1	yes	characteristic, complemented
425	#4016	C₂×C₄	1	1	yes	characteristic, complemented
426	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
427	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
428	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
429	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
430	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
431	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
432	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
433	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
434	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
435	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
436	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
437	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
438	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
439	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
440	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
441	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
442	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
443	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
444	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
445	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
446	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
447	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
448	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
449	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
450	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
451	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
452	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
453	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
454	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
455	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
456	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
457	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
458	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
459	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
460	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
461	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
462	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
463	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
464	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
465	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
466	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
467	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
468	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
469	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
470	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
471	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
472	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
473	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
474	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
475	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
476	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
477	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
478	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
479	(C₂×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×#552	—	5	1	no	—
486	#2373	—	5	1	no	—
487	#2373	—	5	1	no	—
488	#2371	—	5	1	no	—
489	#2371	—	5	1	no	—
490	#2370	—	5	1	no	—
491	#2368	—	5	1	no	—
492	#2368	—	5	1	no	—
493	#2359	—	5	1	no	—
494	#2359	—	5	1	no	—
495	#2356	—	5	1	no	—
496	#2353	—	5	1	no	—
497	#2344	—	5	1	no	—
498	#2343	—	5	1	no	—
499	#2343	—	5	1	no	—
500	#2343	—	5	1	no	—
501	#2336	—	5	1	no	—
502	#2336	—	5	1	no	—
503	#2334	—	5	1	no	—
504	#2332	—	5	1	no	—
505	#2329	—	5	1	no	—
506	#2322	—	5	1	no	—
507	C₄×#125	—	5	1	no	—
508	C₄×#126	—	5	1	no	—
509	C₄×#123	—	5	1	no	—
510	#2298	—	5	1	no	—
511	#2295	—	5	1	no	—
512	C₂×#387	—	5	1	no	—
513	#2275	—	5	1	no	—
514	#2274	—	5	1	no	—
515	C₄×#117	—	5	1	no	—
516	C₂³×D₅	C₂⁴	1	1	yes	characteristic
517	C₂³×D₅	C₂⁴	1	1	yes	characteristic
518	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
519	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
520	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
521	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
522	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
523	C₂²×AGL(1,𝔽₅)	—	2	2	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)	#41	1	4	yes	—
536	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
537	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
538	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
539	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
540	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
541	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
542	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
543	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
544	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
545	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
546	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
547	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	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
554	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
555	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
556	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
557	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
560	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
561	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
562	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
563	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
564	Q₈×D₅	—	4	1	no	—
565	Q₈×D₅	—	4	1	no	—
566	D₄×D₅	—	2	2	no	—
567	D₄×D₅	—	2	2	no	—
568	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₄×D₅	—	2	2	no	—
570	C₂×C₄×D₅	—	2	2	no	—
571	C₂×C₄×D₅	—	2	2	no	—
572	C₂×C₄×D₅	—	2	2	no	—
573	C₂×C₄×D₅	—	4	1	no	—
574	C₂×C₄×D₅	—	4	1	no	—
575	C₂×C₄×D₅	—	4	1	no	—
576	C₂×C₄×D₅	—	4	1	no	—
577	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
586	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
589	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
590	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
591	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
593	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
597	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
598	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
599	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
600	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
601	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
602	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
603	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
604	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
605	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
606	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
607	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
608	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
609	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
610	C₂²⋊AGL(1,𝔽₅)	#41	1	4	yes	—
611	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
612	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
613	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
614	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
615	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
616	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
617	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
618	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
619	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
620	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
621	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
622	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
623	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
624	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
625	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
626	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
627	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
628	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
629	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
630	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
631	C₄×AGL(1,𝔽₅)	—	2	2	no	—
632	C₄×AGL(1,𝔽₅)	—	2	2	no	—
633	C₄×AGL(1,𝔽₅)	—	2	2	no	—
634	C₄×AGL(1,𝔽₅)	—	2	2	no	—
635	C₄×AGL(1,𝔽₅)	—	2	2	no	—
636	C₄×AGL(1,𝔽₅)	—	2	2	no	—
637	C₄×AGL(1,𝔽₅)	—	2	2	no	—
638	C₄×AGL(1,𝔽₅)	—	2	2	no	—
639	C₄×AGL(1,𝔽₅)	—	2	2	no	—
640	C₄×AGL(1,𝔽₅)	—	2	2	no	—
641	C₄×AGL(1,𝔽₅)	—	2	2	no	—
642	C₄×AGL(1,𝔽₅)	—	2	2	no	—
643	C₄×AGL(1,𝔽₅)	—	4	1	no	—
644	C₄×AGL(1,𝔽₅)	—	4	1	no	—
645	C₄×AGL(1,𝔽₅)	—	4	1	no	—
646	C₄×AGL(1,𝔽₅)	—	4	1	no	—
647	C₄×AGL(1,𝔽₅)	—	4	1	no	—
648	C₄×AGL(1,𝔽₅)	—	4	1	no	—
649	C₄×AGL(1,𝔽₅)	—	4	1	no	—
650	C₄×AGL(1,𝔽₅)	—	4	1	no	—
651	C₄×AGL(1,𝔽₅)	—	4	1	no	—
652	C₄×AGL(1,𝔽₅)	—	4	1	no	—
653	C₄×AGL(1,𝔽₅)	—	4	1	no	—
654	C₄×AGL(1,𝔽₅)	—	4	1	no	—
655	C₄×AGL(1,𝔽₅)	—	4	1	no	—
656	C₄×AGL(1,𝔽₅)	—	4	1	no	—
657	C₄×AGL(1,𝔽₅)	—	4	1	no	—
658	C₄×AGL(1,𝔽₅)	—	4	1	no	—
659	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
684	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
685	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
686	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
687	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
688	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
690	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
691	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
692	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
693	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
694	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
696	#685	C₂²×C₄	1	1	yes	characteristic
697	#685	C₂²×C₄	1	1	yes	characteristic
698	#685	C₂²×C₄	1	1	yes	characteristic
699	#685	C₂²×C₄	1	1	yes	characteristic
700	#685	C₂²×C₄	1	1	yes	characteristic
701	#685	C₂²×C₄	1	1	yes	characteristic
702	#685	C₂²×C₄	1	1	yes	characteristic
703	#685	C₂²×C₄	1	1	yes	characteristic
704	#685	C₂²×C₄	1	1	yes	characteristic
705	#685	C₂²×C₄	1	1	yes	characteristic
706	#685	C₂²×C₄	1	1	yes	characteristic
707	#685	C₂²×C₄	1	1	yes	characteristic
708	#685	C₂²×C₄	1	1	yes	characteristic
709	#685	C₂²×C₄	1	1	yes	characteristic
710	#685	C₂²×C₄	1	1	yes	characteristic
711	#685	C₂²×C₄	1	1	yes	characteristic
712	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
713	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
714	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
715	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
716	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
717	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
718	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
719	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
720	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
721	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
722	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
723	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
724	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
725	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
726	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
727	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
728	#683	C₂²×C₄	1	1	yes	characteristic
729	#683	C₂²×C₄	1	1	yes	characteristic
730	#683	C₂²×C₄	1	1	yes	characteristic
731	#683	C₂²×C₄	1	1	yes	characteristic
732	#683	C₂²×C₄	1	1	yes	characteristic
733	#683	C₂²×C₄	1	1	yes	characteristic
734	#683	C₂²×C₄	1	1	yes	characteristic
735	#683	C₂²×C₄	1	1	yes	characteristic
736	#683	C₂²×C₄	1	1	yes	characteristic
737	#683	C₂²×C₄	1	1	yes	characteristic
738	#683	C₂²×C₄	1	1	yes	characteristic
739	#683	C₂²×C₄	1	1	yes	characteristic
740	#683	C₂²×C₄	1	1	yes	characteristic
741	#683	C₂²×C₄	1	1	yes	characteristic
742	#683	C₂²×C₄	1	1	yes	characteristic
743	#683	C₂²×C₄	1	1	yes	characteristic
744	#683	C₂²×C₄	1	1	yes	characteristic
745	#683	C₂²×C₄	1	1	yes	characteristic
746	#683	C₂²×C₄	1	1	yes	characteristic
747	#683	C₂²×C₄	1	1	yes	characteristic
748	#683	C₂²×C₄	1	1	yes	characteristic
749	#683	C₂²×C₄	1	1	yes	characteristic
750	#683	C₂²×C₄	1	1	yes	characteristic
751	#683	C₂²×C₄	1	1	yes	characteristic
752	#683	C₂²×C₄	1	1	yes	characteristic
753	#683	C₂²×C₄	1	1	yes	characteristic
754	#683	C₂²×C₄	1	1	yes	characteristic
755	#683	C₂²×C₄	1	1	yes	characteristic
756	#683	C₂²×C₄	1	1	yes	characteristic
757	#683	C₂²×C₄	1	1	yes	characteristic
758	#683	C₂²×C₄	1	1	yes	characteristic
759	#683	C₂²×C₄	1	1	yes	characteristic
760	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	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
767	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
768	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
769	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
770	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
771	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
772	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
773	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
774	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
775	#552	—	5	1	no	—
776	#552	—	5	1	no	—
777	#552	—	5	1	no	—
778	#552	—	5	1	no	—
779	#552	—	5	1	no	—
780	#552	—	5	1	no	—
781	#552	—	5	1	no	—
782	#552	—	5	1	no	—
783	#552	—	5	1	no	—
784	#552	—	5	1	no	—
785	#552	—	5	1	no	—
786	#552	—	5	1	no	—
787	#552	—	5	1	no	—
788	#552	—	5	1	no	—
789	#552	—	5	1	no	—
790	#552	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
791	C₂×#126	—	5	1	no	—
792	C₂×#126	—	5	1	no	—
793	C₂×#125	—	5	1	no	—
794	C₂×#125	—	5	1	no	—
795	C₂×#125	—	5	1	no	—
796	C₂×#123	—	5	1	no	—
797	C₂×#123	—	5	1	no	—
798	C₂×C₂²⋊Q₈	—	5	1	no	—
799	C₂×C₂²⋊Q₈	—	5	1	no	—
800	C₂×C₄×Q₈	—	5	1	no	—
801	C₂×C₄×D₄	—	5	1	no	—
802	C₂×C₄×D₄	—	5	1	no	—
803	C₂×C₄×D₄	—	5	1	no	—
804	C₂×#117	—	5	1	no	—
805	C₂×#117	—	5	1	no	—
806	C₂×#117	—	5	1	no	—
807	C₂×#117	—	5	1	no	—
808	C₂×#117	—	5	1	no	—
809	C₂²×C₄⋊C₄	—	5	1	no	—
810	C₂²×C₄⋊C₄	—	5	1	no	—
811	C₂²×C₄²	—	5	1	no	—
812	#391	—	5	1	no	—
813	#391	—	5	1	no	—
814	#391	—	5	1	no	—
815	#391	—	5	1	no	—
816	#389	—	5	1	no	—
817	#389	—	5	1	no	—
818	#389	—	5	1	no	—
819	#389	—	5	1	no	—
820	#389	—	5	1	no	—
821	#389	—	5	1	no	—
822	#389	—	5	1	no	—
823	#389	—	5	1	no	—
824	#388	—	5	1	no	—
825	#388	—	5	1	no	—
826	#388	—	5	1	no	—
827	#388	—	5	1	no	—
828	#388	—	5	1	no	—
829	#388	—	5	1	no	—
830	#388	—	5	1	no	—
831	#388	—	5	1	no	—
832	#388	—	5	1	no	—
833	#388	—	5	1	no	—
834	#387	—	5	1	no	—
835	#387	—	5	1	no	—
836	#387	—	5	1	no	—
837	#387	—	5	1	no	—
838	#387	—	5	1	no	—
839	#387	—	5	1	no	—
840	#387	—	5	1	no	—
841	#387	—	5	1	no	—
842	#387	—	5	1	no	—
843	#387	—	5	1	no	—
844	#387	—	5	1	no	—
845	#387	—	5	1	no	—
846	#387	—	5	1	no	—
847	#387	—	5	1	no	—
848	#387	—	5	1	no	—
849	#387	—	5	1	no	—
850	#387	—	5	1	no	—
851	#387	—	5	1	no	—
852	#387	—	5	1	no	—
853	#387	—	5	1	no	—
854	#387	—	5	1	no	—
855	#387	—	5	1	no	—
856	#387	—	5	1	no	—
857	#387	—	5	1	no	—
858	#387	—	5	1	no	—
859	#387	—	5	1	no	—
860	#387	—	5	1	no	—
861	#387	—	5	1	no	—
862	#387	—	5	1	no	—
863	#387	—	5	1	no	—
864	#387	—	5	1	no	—
865	#387	—	5	1	no	—
866	#387	—	5	1	no	—
867	#387	—	5	1	no	—
868	#387	—	5	1	no	—
869	#387	—	5	1	no	—
870	#387	—	5	1	no	—
871	#387	—	5	1	no	—
872	#386	—	5	1	no	—
873	#386	—	5	1	no	—
874	#385	—	5	1	no	—
875	#385	—	5	1	no	—
876	#385	—	5	1	no	—
877	#385	—	5	1	no	—
878	#385	—	5	1	no	—
879	#385	—	5	1	no	—
880	#385	—	5	1	no	—
881	#385	—	5	1	no	—
882	#383	—	5	1	no	—
883	#383	—	5	1	no	—
884	#383	—	5	1	no	—
885	#382	—	5	1	no	—
886	#382	—	5	1	no	—
887	#381	—	5	1	no	—
888	#381	—	5	1	no	—
889	#381	—	5	1	no	—
890	#380	—	5	1	no	—
891	C₄×C₄⋊C₄	—	5	1	no	—
892	C₄×C₄⋊C₄	—	5	1	no	—
893	C₄×C₄⋊C₄	—	5	1	no	—
894	C₄×C₄⋊C₄	—	5	1	no	—
895	C₄×C₄⋊C₄	—	5	1	no	—
896	C₄×C₄⋊C₄	—	5	1	no	—
897	C₄×C₄⋊C₄	—	5	1	no	—
898	C₄×C₄⋊C₄	—	5	1	no	—
899	C₄×C₄⋊C₄	—	5	1	no	—
900	C₄×C₄⋊C₄	—	5	1	no	—
901	C₄×C₄⋊C₄	—	5	1	no	—
902	C₄×C₄⋊C₄	—	5	1	no	—
903	C₄×C₄⋊C₄	—	5	1	no	—
904	C₄×C₄⋊C₄	—	5	1	no	—
905	C₄×C₄⋊C₄	—	5	1	no	—
906	C₄×C₄⋊C₄	—	5	1	no	—
907	C₄×C₄⋊C₄	—	5	1	no	—
908	C₄×C₄⋊C₄	—	5	1	no	—
909	C₄×C₄⋊C₄	—	5	1	no	—
910	C₄×C₄⋊C₄	—	5	1	no	—
911	C₄×C₄⋊C₄	—	5	1	no	—
912	C₄×C₄⋊C₄	—	5	1	no	—
913	C₄×C₄⋊C₄	—	5	1	no	—
914	C₄×C₄⋊C₄	—	5	1	no	—
915	C₄×C₄⋊C₄	—	5	1	no	—
916	C₄×C₂²⋊C₄	—	5	1	no	—
917	C₄×C₂²⋊C₄	—	5	1	no	—
918	C₄×C₂²⋊C₄	—	5	1	no	—
919	C₄×C₂²⋊C₄	—	5	1	no	—
920	C₄×C₂²⋊C₄	—	5	1	no	—
921	C₄×C₂²⋊C₄	—	5	1	no	—
922	C₄×C₂²⋊C₄	—	5	1	no	—
923	C₄×C₂²⋊C₄	—	5	1	no	—
924	C₄×C₂²⋊C₄	—	5	1	no	—
925	C₄×C₂²⋊C₄	—	5	1	no	—
926	C₄×C₂²⋊C₄	—	5	1	no	—
927	C₄×C₂²⋊C₄	—	5	1	no	—
928	C₄×C₂²⋊C₄	—	5	1	no	—
929	C₄×C₂²⋊C₄	—	5	1	no	—
930	C₄×C₂²⋊C₄	—	5	1	no	—
931	C₄×C₂²⋊C₄	—	5	1	no	—
932	C₄×C₂²⋊C₄	—	5	1	no	—
933	#376	—	5	1	no	—
934	#376	—	5	1	no	—
935	#376	—	5	1	no	—
936	#376	—	5	1	no	—
937	#376	—	5	1	no	—
938	#376	—	5	1	no	—
939	C₂×#95	—	5	1	no	—
940	C₂×#95	—	5	1	no	—
941	C₂×#95	—	5	1	no	—
942	C₂×#95	—	5	1	no	—
943	C₂×#95	—	5	1	no	—
944	C₄³	—	5	1	no	—
945	C₄³	—	5	1	no	—
946	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
947	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
948	C₂²×D₅	—	2	1	no	—
949	C₂²×D₅	—	2	1	no	—
950	C₂²×D₅	—	2	1	no	—
951	C₂²×D₅	—	2	1	no	—
952	C₂²×D₅	—	2	1	no	—
953	C₂²×D₅	—	2	1	no	—
954	C₂²×D₅	—	2	1	no	—
955	C₂²×D₅	—	2	1	no	—
956	C₂²×D₅	—	2	1	no	—
957	C₂²×D₅	—	2	1	no	—
958	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
959	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
960	C₂²×D₅	C₂×#41	1	2	yes	—
961	C₂²×D₅	C₂×#41	1	2	yes	—
962	C₂²×D₅	C₂⁵	1	1	yes	characteristic
963	C₂×AGL(1,𝔽₅)	—	2	1	no	—
964	C₂×AGL(1,𝔽₅)	—	2	1	no	—
965	C₂×AGL(1,𝔽₅)	—	2	1	no	—
966	C₂×AGL(1,𝔽₅)	—	2	1	no	—
967	C₂×AGL(1,𝔽₅)	—	2	1	no	—
968	C₂×AGL(1,𝔽₅)	—	2	1	no	—
969	C₂×AGL(1,𝔽₅)	—	2	1	no	—
970	C₂×AGL(1,𝔽₅)	—	2	1	no	—
971	C₂×AGL(1,𝔽₅)	—	2	1	no	—
972	C₂×AGL(1,𝔽₅)	—	2	1	no	—
973	C₂×AGL(1,𝔽₅)	—	2	1	no	—
974	C₂×AGL(1,𝔽₅)	—	2	1	no	—
975	C₂×AGL(1,𝔽₅)	—	2	1	no	—
976	C₂×AGL(1,𝔽₅)	—	2	1	no	—
977	C₂×AGL(1,𝔽₅)	—	2	1	no	—
978	C₂×AGL(1,𝔽₅)	—	2	1	no	—
979	C₂×AGL(1,𝔽₅)	—	2	1	no	—
980	C₂×AGL(1,𝔽₅)	—	2	1	no	—
981	C₂×AGL(1,𝔽₅)	—	2	1	no	—
982	C₂×AGL(1,𝔽₅)	—	2	1	no	—
983	C₂×AGL(1,𝔽₅)	—	2	1	no	—
984	C₂×AGL(1,𝔽₅)	—	2	1	no	—
985	C₂×AGL(1,𝔽₅)	—	2	1	no	—
986	C₂×AGL(1,𝔽₅)	—	2	1	no	—
987	C₂×AGL(1,𝔽₅)	—	2	1	no	—
988	C₂×AGL(1,𝔽₅)	—	2	1	no	—
989	C₂×AGL(1,𝔽₅)	—	2	1	no	—
990	C₂×AGL(1,𝔽₅)	—	2	1	no	—
991	C₂×AGL(1,𝔽₅)	—	2	1	no	—
992	C₂×AGL(1,𝔽₅)	—	2	1	no	—
993	C₂×AGL(1,𝔽₅)	—	2	1	no	—
994	C₂×AGL(1,𝔽₅)	—	2	1	no	—
995	C₂×AGL(1,𝔽₅)	—	2	1	no	—
996	C₂×AGL(1,𝔽₅)	—	2	1	no	—
997	C₂×AGL(1,𝔽₅)	—	2	1	no	—
998	C₂×AGL(1,𝔽₅)	—	2	1	no	—
999	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1000	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1001	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1002	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1003	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1004	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1005	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1006	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1007	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1008	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1009	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1010	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1011	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1012	C₂×AGL(1,𝔽₅)	C₂×#41	1	2	yes	—
1013	C₂×AGL(1,𝔽₅)	C₂×#41	1	2	yes	—
1014	C₂×AGL(1,𝔽₅)	C₂×#41	1	2	yes	—
1015	C₂×AGL(1,𝔽₅)	C₂×#41	1	2	yes	—
1016	C₂×AGL(1,𝔽₅)	2₋¹⁺⁴	1	2	yes	—
1017	C₅×Q₈	—	4	1	no	—
1018	C₅×D₄	—	2	2	no	—
1019	C₂×C₄×C₅	—	2	2	no	—
1020	C₂×C₄×C₅	—	2	2	no	—
1021	C₂×C₄×C₅	—	4	1	no	—
1022	C₂×C₄×C₅	—	4	1	no	—
1023	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1024	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1025	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1026	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1027	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1028	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1029	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1030	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1031	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1032	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1033	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1034	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1035	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1036	C₂²⋊D₅	—	2	2	no	—
1037	C₂²⋊D₅	—	2	2	no	—
1038	C₂×Dic₅	—	2	2	no	—
1039	C₂×Dic₅	—	2	2	no	—
1040	C₂×Dic₅	—	4	1	no	—
1041	C₂×Dic₅	—	4	1	no	—
1042	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1043	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1044	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1045	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1046	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1047	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1048	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1049	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1050	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1051	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1052	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1053	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1054	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1055	D₂₀	—	2	2	no	—
1056	C₄×D₅	—	2	2	no	—
1057	C₄×D₅	—	2	2	no	—
1058	C₄×D₅	—	2	2	no	—
1059	C₄×D₅	—	2	2	no	—
1060	C₄×D₅	—	2	1	no	—
1061	C₄×D₅	—	2	1	no	—
1062	C₄×D₅	—	2	1	no	—
1063	C₄×D₅	—	2	1	no	—
1064	C₄×D₅	—	2	1	no	—
1065	C₄×D₅	—	2	1	no	—
1066	C₄×D₅	—	2	1	no	—
1067	C₄×D₅	—	2	1	no	—
1068	C₄×D₅	—	2	1	no	—
1069	C₄×D₅	—	2	1	no	—
1070	C₄×D₅	—	2	1	no	—
1071	C₄×D₅	—	2	1	no	—
1072	C₄×D₅	—	2	1	no	—
1073	C₄×D₅	—	2	1	no	—
1074	C₄×D₅	—	2	1	no	—
1075	C₄×D₅	—	2	1	no	—
1076	C₄×D₅	—	2	1	no	—
1077	C₄×D₅	—	2	1	no	—
1078	C₄×D₅	—	2	1	no	—
1079	C₄×D₅	—	2	1	no	—
1080	C₄×D₅	—	2	1	no	—
1081	C₄×D₅	—	2	1	no	—
1082	C₄×D₅	—	2	1	no	—
1083	C₄×D₅	—	2	1	no	—
1084	C₄×D₅	—	2	1	no	—
1085	C₄×D₅	—	2	1	no	—
1086	C₄×D₅	—	4	1	no	—
1087	C₄×D₅	—	4	1	no	—
1088	C₄×D₅	—	4	1	no	—
1089	C₄×D₅	—	4	1	no	—
1090	Dic₁₀	—	4	1	no	—
1091	Dic₁₀	—	4	1	no	—
1092	Dic₁₀	—	4	1	no	—
1093	C₂²×Q₈	—	5	1	no	—
1094	C₂²×D₄	—	5	1	no	—
1095	C₂³×C₄	—	5	1	no	—
1096	C₂³×C₄	—	5	1	no	—
1097	C₂³×C₄	—	5	1	no	—
1098	C₂³×C₄	—	5	1	no	—
1099	C₂³×C₄	—	5	1	no	—
1100	C₂³×C₄	—	5	1	no	—
1101	C₂³×C₄	—	5	1	no	—
1102	C₂³×C₄	—	5	1	no	—
1103	C₂³×C₄	—	5	1	no	—
1104	C₂³×C₄	—	5	1	no	—
1105	#126	—	5	1	no	—
1106	#126	—	5	1	no	—
1107	#126	—	5	1	no	—
1108	#126	—	5	1	no	—
1109	#126	—	5	1	no	—
1110	#126	—	5	1	no	—
1111	#126	—	5	1	no	—
1112	#126	—	5	1	no	—
1113	#126	—	5	1	no	—
1114	#126	—	5	1	no	—
1115	#126	—	5	1	no	—
1116	#126	—	5	1	no	—
1117	#126	—	5	1	no	—
1118	#126	—	5	1	no	—
1119	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1120	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1121	#125	—	5	1	no	—
1122	#125	—	5	1	no	—
1123	#125	—	5	1	no	—
1124	#125	—	5	1	no	—
1125	#125	—	5	1	no	—
1126	#125	—	5	1	no	—
1127	#125	—	5	1	no	—
1128	#125	—	5	1	no	—
1129	#125	—	5	1	no	—
1130	#125	—	5	1	no	—
1131	#125	—	5	1	no	—
1132	#125	—	5	1	no	—
1133	#125	—	5	1	no	—
1134	#125	—	5	1	no	—
1135	#125	—	5	1	no	—
1136	#125	—	5	1	no	—
1137	#125	—	5	1	no	—
1138	#125	—	5	1	no	—
1139	#125	—	5	1	no	—
1140	#125	—	5	1	no	—
1141	#125	—	5	1	no	—
1142	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1143	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1144	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1145	#123	—	5	1	no	—
1146	#123	—	5	1	no	—
1147	#123	—	5	1	no	—
1148	#123	—	5	1	no	—
1149	#123	—	5	1	no	—
1150	#123	—	5	1	no	—
1151	#123	—	5	1	no	—
1152	#123	—	5	1	no	—
1153	#123	—	5	1	no	—
1154	#123	—	5	1	no	—
1155	#123	—	5	1	no	—
1156	#123	—	5	1	no	—
1157	#123	—	5	1	no	—
1158	#123	—	5	1	no	—
1159	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1160	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1161	C₂²⋊Q₈	—	5	1	no	—
1162	C₂²⋊Q₈	—	5	1	no	—
1163	C₂²⋊Q₈	—	5	1	no	—
1164	C₂²⋊Q₈	—	5	1	no	—
1165	C₂²⋊Q₈	—	5	1	no	—
1166	C₂²⋊Q₈	—	5	1	no	—
1167	C₂²⋊Q₈	—	5	1	no	—
1168	C₂²⋊Q₈	—	5	1	no	—
1169	C₂²⋊Q₈	—	5	1	no	—
1170	C₂²⋊Q₈	—	5	1	no	—
1171	C₂²⋊Q₈	—	5	1	no	—
1172	C₂²⋊Q₈	—	5	1	no	—
1173	C₂²⋊Q₈	—	5	1	no	—
1174	C₂²⋊Q₈	—	5	1	no	—
1175	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1176	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1177	C₄×Q₈	—	5	1	no	—
1178	C₄×Q₈	—	5	1	no	—
1179	C₄×Q₈	—	5	1	no	—
1180	C₄×Q₈	—	5	1	no	—
1181	C₄×Q₈	—	5	1	no	—
1182	C₄×Q₈	—	5	1	no	—
1183	C₄×Q₈	—	5	1	no	—
1184	C₄×Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1185	C₄×D₄	—	5	1	no	—
1186	C₄×D₄	—	5	1	no	—
1187	C₄×D₄	—	5	1	no	—
1188	C₄×D₄	—	5	1	no	—
1189	C₄×D₄	—	5	1	no	—
1190	C₄×D₄	—	5	1	no	—
1191	C₄×D₄	—	5	1	no	—
1192	C₄×D₄	—	10	4	no	—
1193	C₄×D₄	—	10	4	no	—
1194	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1195	#117	—	5	1	no	—
1196	#117	—	5	1	no	—
1197	#117	—	5	1	no	—
1198	#117	—	5	1	no	—
1199	#117	—	5	1	no	—
1200	#117	—	5	1	no	—
1201	#117	—	5	1	no	—
1202	#117	—	5	1	no	—
1203	#117	—	5	1	no	—
1204	#117	—	5	1	no	—
1205	#117	—	5	1	no	—
1206	#117	—	5	1	no	—
1207	#117	—	5	1	no	—
1208	#117	—	5	1	no	—
1209	#117	—	5	1	no	—
1210	#117	—	5	1	no	—
1211	#117	—	5	1	no	—
1212	#117	—	5	1	no	—
1213	#117	—	5	1	no	—
1214	#117	—	5	1	no	—
1215	#117	—	5	1	no	—
1216	#117	—	10	4	no	—
1217	#117	—	10	4	no	—
1218	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1219	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1220	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1221	C₂×C₄⋊C₄	—	5	1	no	—
1222	C₂×C₄⋊C₄	—	5	1	no	—
1223	C₂×C₄⋊C₄	—	5	1	no	—
1224	C₂×C₄⋊C₄	—	5	1	no	—
1225	C₂×C₄⋊C₄	—	5	1	no	—
1226	C₂×C₄⋊C₄	—	5	1	no	—
1227	C₂×C₄⋊C₄	—	5	1	no	—
1228	C₂×C₄⋊C₄	—	5	1	no	—
1229	C₂×C₄⋊C₄	—	5	1	no	—
1230	C₂×C₄⋊C₄	—	5	1	no	—
1231	C₂×C₄⋊C₄	—	5	1	no	—
1232	C₂×C₄⋊C₄	—	5	1	no	—
1233	C₂×C₄⋊C₄	—	5	1	no	—
1234	C₂×C₄⋊C₄	—	5	1	no	—
1235	C₂×C₄⋊C₄	—	5	1	no	—
1236	C₂×C₄⋊C₄	—	5	1	no	—
1237	C₂×C₄⋊C₄	—	5	1	no	—
1238	C₂×C₄⋊C₄	—	5	1	no	—
1239	C₂×C₄⋊C₄	—	5	1	no	—
1240	C₂×C₄⋊C₄	—	5	1	no	—
1241	C₂×C₄⋊C₄	—	5	1	no	—
1242	C₂×C₄⋊C₄	—	5	1	no	—
1243	C₂×C₄⋊C₄	—	5	1	no	—
1244	C₂×C₄⋊C₄	—	5	1	no	—
1245	C₂×C₄⋊C₄	—	5	1	no	—
1246	C₂×C₄⋊C₄	—	5	1	no	—
1247	C₂×C₄⋊C₄	—	5	1	no	—
1248	C₂×C₄⋊C₄	—	5	1	no	—
1249	C₂×C₄⋊C₄	—	5	1	no	—
1250	C₂×C₄⋊C₄	—	5	1	no	—
1251	C₂×C₄⋊C₄	—	5	1	no	—
1252	C₂×C₄⋊C₄	—	5	1	no	—
1253	C₂×C₄⋊C₄	—	5	1	no	—
1254	C₂×C₄⋊C₄	—	5	1	no	—
1255	C₂×C₄⋊C₄	—	5	1	no	—
1256	C₂×C₄⋊C₄	—	5	1	no	—
1257	C₂×C₄⋊C₄	—	5	1	no	—
1258	C₂×C₄⋊C₄	—	5	1	no	—
1259	C₂×C₄⋊C₄	—	5	1	no	—
1260	C₂×C₄⋊C₄	—	5	1	no	—
1261	C₂×C₄⋊C₄	—	5	1	no	—
1262	C₂×C₄⋊C₄	—	5	1	no	—
1263	C₂×C₄⋊C₄	—	5	1	no	—
1264	C₂×C₄⋊C₄	—	10	4	no	—
1265	C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1266	C₂×C₂²⋊C₄	—	5	1	no	—
1267	C₂×C₂²⋊C₄	—	5	1	no	—
1268	C₂×C₂²⋊C₄	—	5	1	no	—
1269	C₂×C₂²⋊C₄	—	5	1	no	—
1270	C₂×C₂²⋊C₄	—	5	1	no	—
1271	C₂×C₂²⋊C₄	—	5	1	no	—
1272	C₂×C₂²⋊C₄	—	5	1	no	—
1273	C₂×C₂²⋊C₄	—	5	1	no	—
1274	C₂×C₂²⋊C₄	—	5	1	no	—
1275	C₂×C₂²⋊C₄	—	5	1	no	—
1276	C₂×C₂²⋊C₄	—	5	1	no	—
1277	C₂×C₂²⋊C₄	—	5	1	no	—
1278	C₂×C₂²⋊C₄	—	5	1	no	—
1279	C₂×C₂²⋊C₄	—	5	1	no	—
1280	C₂×C₂²⋊C₄	—	5	1	no	—
1281	C₂×C₂²⋊C₄	—	5	1	no	—
1282	C₂×C₂²⋊C₄	—	5	1	no	—
1283	C₂×C₂²⋊C₄	—	5	1	no	—
1284	C₂×C₄²	—	5	1	no	—
1285	C₂×C₄²	—	5	1	no	—
1286	C₂×C₄²	—	5	1	no	—
1287	C₂×C₄²	—	5	1	no	—
1288	C₂×C₄²	—	5	1	no	—
1289	C₂×C₄²	—	5	1	no	—
1290	C₂×C₄²	—	5	1	no	—
1291	C₂×C₄²	—	5	1	no	—
1292	C₂×C₄²	—	5	1	no	—
1293	C₂×C₄²	—	5	1	no	—
1294	C₂×C₄²	—	5	1	no	—
1295	C₂×C₄²	—	5	1	no	—
1296	C₂×C₄²	—	5	1	no	—
1297	C₂×C₄²	—	5	1	no	—
1298	C₂×C₄²	—	5	1	no	—
1299	C₂×C₄²	—	5	1	no	—
1300	C₂×C₄²	—	5	1	no	—
1301	C₂×C₄²	—	5	1	no	—
1302	C₂×C₄²	—	5	1	no	—
1303	C₂×C₄²	—	5	1	no	—
1304	C₂×C₄²	—	5	1	no	—
1305	C₂×C₄²	—	5	1	no	—
1306	C₂×C₄²	—	5	1	no	—
1307	C₂×C₄²	—	5	1	no	—
1308	C₂×C₄²	—	5	1	no	—
1309	C₂×C₄²	—	5	1	no	—
1310	C₂×C₄²	—	5	1	no	—
1311	C₂×C₄²	—	5	1	no	—
1312	C₂×C₄²	—	5	1	no	—
1313	C₂×C₄²	—	5	1	no	—
1314	C₂×C₄²	—	5	1	no	—
1315	C₂×C₄²	—	5	1	no	—
1316	C₂×C₄²	—	5	1	no	—
1317	C₂×C₄²	—	10	4	no	—
1318	#95	—	5	1	no	—
1319	#95	—	5	1	no	—
1320	#95	—	5	1	no	—
1321	#95	—	5	1	no	—
1322	#95	—	5	1	no	—
1323	#95	—	5	1	no	—
1324	#95	—	5	1	no	—
1325	#95	—	5	1	no	—
1326	#95	—	5	1	no	—
1327	#95	—	5	1	no	—
1328	#95	—	5	1	no	—
1329	#95	—	5	1	no	—
1330	#95	—	5	1	no	—
1331	#95	—	5	1	no	—
1332	#95	—	5	1	no	—
1333	#95	—	5	1	no	—
1334	#95	—	5	1	no	—
1335	#95	—	5	1	no	—
1336	#95	—	5	1	no	—
1337	#95	—	5	1	no	—
1338	#95	—	5	1	no	—
1339	#95	—	5	1	no	—
1340	#95	—	5	1	no	—
1341	#95	—	5	1	no	—
1342	#95	—	5	1	no	—
1343	#95	—	5	1	no	—
1344	#95	—	5	1	no	—
1345	#95	—	5	1	no	—
1346	#95	—	5	1	no	—
1347	#95	—	5	1	no	—
1348	#95	—	5	1	no	—
1349	#95	—	5	1	no	—
1350	#95	—	5	1	no	—
1351	#95	—	5	1	no	—
1352	#95	—	5	1	no	—
1353	#95	—	5	1	no	—
1354	#95	—	5	1	no	—
1355	#95	—	5	1	no	—
1356	#95	—	5	1	no	—
1357	#95	—	5	1	no	—
1358	#95	—	5	1	no	—
1359	#95	—	5	1	no	—
1360	#95	—	5	1	no	—
1361	#95	—	5	1	no	—
1362	#95	—	5	1	no	—
1363	#95	—	5	1	no	—
1364	#95	—	5	1	no	—
1365	#95	—	5	1	no	—
1366	#95	—	5	1	no	—
1367	#95	—	5	1	no	—
1368	#95	—	5	1	no	—
1369	#95	—	5	1	no	—
1370	#95	—	5	1	no	—
1371	#95	—	5	1	no	—
1372	#95	—	5	1	no	—
1373	#95	—	5	1	no	—
1374	C₂²×C₅	—	2	1	no	—
1375	C₂²×C₅	—	2	1	no	—
1376	C₂²×C₅	—	2	1	no	—
1377	C₂²×C₅	—	2	1	no	—
1378	C₂²×C₅	—	2	1	no	—
1379	C₂²×C₅	C₄×#41	1	2	yes	—
1380	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1381	C₂×D₅	—	2	1	no	—
1382	C₂×D₅	—	2	1	no	—
1383	C₂×D₅	—	2	2	no	—
1384	C₂×D₅	—	2	2	no	—
1385	C₂×D₅	—	2	2	no	—
1386	C₂×D₅	—	2	2	no	—
1387	C₂×D₅	—	2	1	no	—
1388	C₂×D₅	—	2	1	no	—
1389	C₂×D₅	—	2	1	no	—
1390	C₂×D₅	—	4	1	no	—
1391	C₂×D₅	—	4	1	no	—
1392	C₂×D₅	—	4	1	no	—
1393	C₂×D₅	—	4	1	no	—
1394	C₂×D₅	C₄×#41	1	2	yes	—
1395	C₂×D₅	C₂²×#41	1	1	yes	characteristic
1396	C₂×D₅	C₂²×#41	1	1	yes	characteristic
1397	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1398	C₂×D₅	#585	1	1	yes	characteristic
1399	C₂×D₅	#585	1	1	yes	characteristic
1400	C₂×D₅	#585	1	1	yes	characteristic
1401	AGL(1,𝔽₅)	—	2	2	no	—
1402	AGL(1,𝔽₅)	—	2	2	no	—
1403	AGL(1,𝔽₅)	—	2	2	no	—
1404	AGL(1,𝔽₅)	—	2	2	no	—
1405	AGL(1,𝔽₅)	—	2	2	no	—
1406	AGL(1,𝔽₅)	—	4	1	no	—
1407	AGL(1,𝔽₅)	—	4	1	no	—
1408	AGL(1,𝔽₅)	—	4	1	no	—
1409	AGL(1,𝔽₅)	—	4	1	no	—
1410	AGL(1,𝔽₅)	—	4	1	no	—
1411	AGL(1,𝔽₅)	—	4	1	no	—
1412	AGL(1,𝔽₅)	—	4	1	no	—
1413	AGL(1,𝔽₅)	—	4	1	no	—
1414	AGL(1,𝔽₅)	—	4	1	no	—
1415	AGL(1,𝔽₅)	—	4	1	no	—
1416	AGL(1,𝔽₅)	—	4	1	no	—
1417	C₄×C₅	—	2	1	no	—
1418	C₄×C₅	—	2	1	no	—
1419	C₄×C₅	—	2	1	no	—
1420	C₄×C₅	—	2	1	no	—
1421	C₄×C₅	—	2	1	no	—
1422	C₄×C₅	—	2	1	no	—
1423	C₄×C₅	—	2	1	no	—
1424	C₄×C₅	—	2	1	no	—
1425	C₄×C₅	—	2	1	no	—
1426	C₄×C₅	—	2	1	no	—
1427	C₄×C₅	—	2	1	no	—
1428	C₄×C₅	—	2	1	no	—
1429	C₄×C₅	—	2	1	no	—
1430	Dic₅	—	2	1	no	—
1431	Dic₅	—	2	1	no	—
1432	Dic₅	—	2	1	no	—
1433	Dic₅	—	2	1	no	—
1434	Dic₅	—	2	1	no	—
1435	Dic₅	—	2	1	no	—
1436	Dic₅	—	2	1	no	—
1437	Dic₅	—	2	1	no	—
1438	Dic₅	—	2	1	no	—
1439	Dic₅	—	2	1	no	—
1440	Dic₅	—	2	1	no	—
1441	Dic₅	—	2	1	no	—
1442	Dic₅	—	2	1	no	—
1443	C₂⁴	—	5	1	no	—
1444	C₂⁴	—	5	1	no	—
1445	C₂×Q₈	—	5	1	no	—
1446	C₂×Q₈	—	5	1	no	—
1447	C₂×Q₈	—	5	1	no	—
1448	C₂×Q₈	—	20	1	no	—
1449	C₂×Q₈	—	20	1	no	—
1450	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1451	C₂×D₄	—	5	1	no	—
1452	C₂×D₄	—	5	1	no	—
1453	C₂×D₄	—	5	1	no	—
1454	C₂×D₄	—	10	2	no	—
1455	C₂×D₄	—	10	2	no	—
1456	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1457	C₂²×C₄	—	5	1	no	—
1458	C₂²×C₄	—	5	1	no	—
1459	C₂²×C₄	—	5	1	no	—
1460	C₂²×C₄	—	5	1	no	—
1461	C₂²×C₄	—	5	1	no	—
1462	C₂²×C₄	—	5	1	no	—
1463	C₂²×C₄	—	5	1	no	—
1464	C₂²×C₄	—	5	4	no	—
1465	C₂²×C₄	—	5	1	no	—
1466	C₂²×C₄	—	5	1	no	—
1467	C₂²×C₄	—	5	1	no	—
1468	C₂²×C₄	—	5	1	no	—
1469	C₂²×C₄	—	5	1	no	—
1470	C₂²×C₄	—	5	1	no	—
1471	C₂²×C₄	—	5	1	no	—
1472	C₂²×C₄	—	5	1	no	—
1473	C₂²×C₄	—	5	1	no	—
1474	C₂²×C₄	—	5	1	no	—
1475	C₂²×C₄	—	5	1	no	—
1476	C₂²×C₄	—	5	1	no	—
1477	C₂²×C₄	—	5	1	no	—
1478	C₂²×C₄	—	5	1	no	—
1479	C₂²×C₄	—	5	1	no	—
1480	C₂²×C₄	—	5	1	no	—
1481	C₂²×C₄	—	5	1	no	—
1482	C₂²×C₄	—	5	1	no	—
1483	C₂²×C₄	—	5	1	no	—
1484	C₂²×C₄	—	5	1	no	—
1485	C₂²×C₄	—	5	1	no	—
1486	C₂²×C₄	—	5	1	no	—
1487	C₂²×C₄	—	5	1	no	—
1488	C₂²×C₄	—	5	1	no	—
1489	C₂²×C₄	—	5	1	no	—
1490	C₂²×C₄	—	5	1	no	—
1491	C₂²×C₄	—	5	1	no	—
1492	C₂²×C₄	—	5	1	no	—
1493	C₂²×C₄	—	5	1	no	—
1494	C₂²×C₄	—	5	1	no	—
1495	C₂²×C₄	—	5	1	no	—
1496	C₂²×C₄	—	5	1	no	—
1497	C₂²×C₄	—	5	1	no	—
1498	C₂²×C₄	—	5	1	no	—
1499	C₂²×C₄	—	10	2	no	—
1500	C₂²×C₄	—	10	2	no	—
1501	C₂²×C₄	—	10	2	no	—
1502	C₂²×C₄	—	10	2	no	—
1503	C₂²×C₄	—	10	2	no	—
1504	C₂²×C₄	—	10	2	no	—
1505	C₂²×C₄	—	10	2	no	—
1506	C₂²×C₄	—	10	2	no	—
1507	C₂²×C₄	—	10	2	no	—
1508	C₂²×C₄	—	10	2	no	—
1509	C₂²×C₄	—	20	1	no	—
1510	C₂²×C₄	—	20	1	no	—
1511	C₂²×C₄	—	20	1	no	—
1512	C₂²×C₄	—	20	1	no	—
1513	C₂²×C₄	—	20	1	no	—
1514	C₂²×C₄	—	20	1	no	—
1515	C₂²×C₄	—	20	1	no	—
1516	C₂²×C₄	—	20	1	no	—
1517	C₂²×C₄	—	20	1	no	—
1518	C₂²×C₄	—	20	1	no	—
1519	C₂²×C₄	—	20	1	no	—
1520	C₂²×C₄	—	20	1	no	—
1521	C₂²×C₄	—	20	1	no	—
1522	C₂²×C₄	—	20	1	no	—
1523	C₂²×C₄	—	20	1	no	—
1524	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1525	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1526	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1527	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1528	C₄⋊C₄	—	5	1	no	—
1529	C₄⋊C₄	—	5	1	no	—
1530	C₄⋊C₄	—	5	1	no	—
1531	C₄⋊C₄	—	5	1	no	—
1532	C₄⋊C₄	—	5	1	no	—
1533	C₄⋊C₄	—	5	1	no	—
1534	C₄⋊C₄	—	5	1	no	—
1535	C₄⋊C₄	—	5	1	no	—
1536	C₄⋊C₄	—	5	1	no	—
1537	C₄⋊C₄	—	5	1	no	—
1538	C₄⋊C₄	—	5	1	no	—
1539	C₄⋊C₄	—	5	1	no	—
1540	C₄⋊C₄	—	5	1	no	—
1541	C₄⋊C₄	—	5	1	no	—
1542	C₄⋊C₄	—	5	1	no	—
1543	C₄⋊C₄	—	5	1	no	—
1544	C₄⋊C₄	—	5	1	no	—
1545	C₄⋊C₄	—	5	1	no	—
1546	C₄⋊C₄	—	5	1	no	—
1547	C₄⋊C₄	—	5	1	no	—
1548	C₄⋊C₄	—	5	1	no	—
1549	C₄⋊C₄	—	5	1	no	—
1550	C₄⋊C₄	—	5	1	no	—
1551	C₄⋊C₄	—	5	1	no	—
1552	C₄⋊C₄	—	5	1	no	—
1553	C₄⋊C₄	—	5	1	no	—
1554	C₄⋊C₄	—	5	1	no	—
1555	C₄⋊C₄	—	5	1	no	—
1556	C₄⋊C₄	—	5	1	no	—
1557	C₄⋊C₄	—	5	1	no	—
1558	C₄⋊C₄	—	5	1	no	—
1559	C₄⋊C₄	—	5	1	no	—
1560	C₄⋊C₄	—	5	1	no	—
1561	C₄⋊C₄	—	5	1	no	—
1562	C₄⋊C₄	—	5	1	no	—
1563	C₄⋊C₄	—	5	1	no	—
1564	C₄⋊C₄	—	5	1	no	—
1565	C₄⋊C₄	—	5	1	no	—
1566	C₄⋊C₄	—	5	1	no	—
1567	C₄⋊C₄	—	5	1	no	—
1568	C₄⋊C₄	—	5	1	no	—
1569	C₄⋊C₄	—	5	1	no	—
1570	C₄⋊C₄	—	5	1	no	—
1571	C₄⋊C₄	—	5	1	no	—
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	5	1	no	—
1576	C₄⋊C₄	—	10	2	no	—
1577	C₄⋊C₄	—	10	2	no	—
1578	C₄⋊C₄	—	10	2	no	—
1579	C₄⋊C₄	—	10	2	no	—
1580	C₄⋊C₄	—	10	2	no	—
1581	C₄⋊C₄	—	10	2	no	—
1582	C₄⋊C₄	—	10	2	no	—
1583	C₄⋊C₄	—	10	2	no	—
1584	C₄⋊C₄	—	10	2	no	—
1585	C₄⋊C₄	—	10	2	no	—
1586	C₄⋊C₄	—	10	2	no	—
1587	C₄⋊C₄	—	20	1	no	—
1588	C₄⋊C₄	—	20	1	no	—
1589	C₄⋊C₄	—	20	1	no	—
1590	C₄⋊C₄	—	20	1	no	—
1591	C₄⋊C₄	—	20	1	no	—
1592	C₄⋊C₄	—	20	1	no	—
1593	C₄⋊C₄	—	20	1	no	—
1594	C₄⋊C₄	—	20	1	no	—
1595	C₄⋊C₄	—	20	1	no	—
1596	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1597	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1598	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1599	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1600	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1601	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1602	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1603	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1604	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1605	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1606	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1607	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1608	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1609	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1610	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1611	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1612	C₂²⋊C₄	—	5	4	no	—
1613	C₂²⋊C₄	—	5	1	no	—
1614	C₂²⋊C₄	—	5	1	no	—
1615	C₂²⋊C₄	—	5	1	no	—
1616	C₂²⋊C₄	—	5	1	no	—
1617	C₂²⋊C₄	—	5	1	no	—
1618	C₂²⋊C₄	—	5	1	no	—
1619	C₂²⋊C₄	—	5	1	no	—
1620	C₂²⋊C₄	—	5	1	no	—
1621	C₂²⋊C₄	—	5	1	no	—
1622	C₂²⋊C₄	—	5	1	no	—
1623	C₂²⋊C₄	—	5	1	no	—
1624	C₂²⋊C₄	—	5	1	no	—
1625	C₂²⋊C₄	—	5	1	no	—
1626	C₂²⋊C₄	—	5	1	no	—
1627	C₂²⋊C₄	—	5	1	no	—
1628	C₂²⋊C₄	—	5	1	no	—
1629	C₂²⋊C₄	—	5	1	no	—
1630	C₂²⋊C₄	—	5	1	no	—
1631	C₂²⋊C₄	—	5	1	no	—
1632	C₂²⋊C₄	—	5	1	no	—
1633	C₂²⋊C₄	—	5	1	no	—
1634	C₂²⋊C₄	—	5	1	no	—
1635	C₂²⋊C₄	—	5	1	no	—
1636	C₂²⋊C₄	—	5	1	no	—
1637	C₂²⋊C₄	—	10	2	no	—
1638	C₂²⋊C₄	—	10	2	no	—
1639	C₂²⋊C₄	—	10	2	no	—
1640	C₂²⋊C₄	—	10	2	no	—
1641	C₂²⋊C₄	—	10	2	no	—
1642	C₂²⋊C₄	—	10	2	no	—
1643	C₂²⋊C₄	—	20	1	no	—
1644	C₂²⋊C₄	—	20	1	no	—
1645	C₂²⋊C₄	—	20	1	no	—
1646	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1647	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1648	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1649	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1650	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1651	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1652	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1653	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1654	C₄²	—	5	1	no	—
1655	C₄²	—	5	1	no	—
1656	C₄²	—	5	1	no	—
1657	C₄²	—	5	1	no	—
1658	C₄²	—	5	1	no	—
1659	C₄²	—	5	1	no	—
1660	C₄²	—	5	1	no	—
1661	C₄²	—	5	1	no	—
1662	C₄²	—	5	1	no	—
1663	C₄²	—	5	1	no	—
1664	C₄²	—	5	1	no	—
1665	C₄²	—	5	1	no	—
1666	C₄²	—	5	1	no	—
1667	C₄²	—	5	1	no	—
1668	C₄²	—	5	1	no	—
1669	C₄²	—	10	2	no	—
1670	C₄²	—	10	2	no	—
1671	C₄²	—	10	2	no	—
1672	C₄²	—	10	2	no	—
1673	C₄²	—	10	2	no	—
1674	C₄²	—	10	2	no	—
1675	C₄²	—	10	2	no	—
1676	C₄²	—	10	2	no	—
1677	C₄²	—	10	2	no	—
1678	C₄²	—	10	2	no	—
1679	C₄²	—	10	2	no	—
1680	C₄²	—	10	2	no	—
1681	C₄²	—	20	1	no	—
1682	C₄²	—	20	1	no	—
1683	C₄²	—	20	1	no	—
1684	C₄²	—	20	1	no	—
1685	C₄²	—	20	1	no	—
1686	C₄²	—	20	1	no	—
1687	C₄²	—	20	1	no	—
1688	C₄²	—	20	1	no	—
1689	C₄²	—	20	1	no	—
1690	C₄²	—	20	1	no	—
1691	C₄²	—	20	1	no	—
1692	C₄²	—	20	1	no	—
1693	C₄²	—	20	1	no	—
1694	C₄²	—	20	1	no	—
1695	C₄²	—	20	1	no	—
1696	C₄²	—	20	1	no	—
1697	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1698	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1699	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1700	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1701	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1702	C₂×C₅	—	2	2	no	—
1703	C₂×C₅	—	4	1	no	—
1704	C₂×C₅	C₂×C₄×#41	1	1	yes	characteristic
1705	C₂×C₅	#3428	1	1	yes	characteristic
1706	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1707	D₅	—	2	2	no	—
1708	D₅	—	4	1	no	—
1709	D₅	#3491	1	1	yes	characteristic
1710	D₅	#3495	1	1	yes	characteristic
1711	D₅	#3515	1	1	yes	characteristic
1712	D₅	#3521	1	1	yes	characteristic
1713	C₂³	—	5	1	no	—
1714	C₂³	—	5	2	no	—
1715	C₂³	—	5	2	no	—
1716	C₂³	—	5	1	no	—
1717	C₂³	—	5	1	no	—
1718	C₂³	—	10	1	no	—
1719	C₂³	—	10	1	no	—
1720	C₂³	—	10	1	no	—
1721	C₂³	—	10	1	no	—
1722	C₂³	—	10	1	no	—
1723	C₂³	—	10	1	no	—
1724	C₂³	—	10	1	no	—
1725	C₂³	—	10	1	no	—
1726	C₂³	—	10	1	no	—
1727	C₂³	—	10	1	no	—
1728	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1729	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1730	Q₈	—	4	1	no	—
1731	Q₈	—	20	1	no	—
1732	Q₈	—	20	1	no	—
1733	Q₈	—	20	1	no	—
1734	D₄	—	2	2	no	—
1735	D₄	—	10	2	no	—
1736	D₄	—	10	2	no	—
1737	D₄	—	10	2	no	—
1738	C₂×C₄	—	2	2	no	—
1739	C₂×C₄	—	2	2	no	—
1740	C₂×C₄	—	4	1	no	—
1741	C₂×C₄	—	4	1	no	—
1742	C₂×C₄	—	5	2	no	—
1743	C₂×C₄	—	5	2	no	—
1744	C₂×C₄	—	5	2	no	—
1745	C₂×C₄	—	5	2	no	—
1746	C₂×C₄	—	5	2	no	—
1747	C₂×C₄	—	5	1	no	—
1748	C₂×C₄	—	5	1	no	—
1749	C₂×C₄	—	5	1	no	—
1750	C₂×C₄	—	5	1	no	—
1751	C₂×C₄	—	5	1	no	—
1752	C₂×C₄	—	5	1	no	—
1753	C₂×C₄	—	5	1	no	—
1754	C₂×C₄	—	5	1	no	—
1755	C₂×C₄	—	5	1	no	—
1756	C₂×C₄	—	5	1	no	—
1757	C₂×C₄	—	5	1	no	—
1758	C₂×C₄	—	5	1	no	—
1759	C₂×C₄	—	5	1	no	—
1760	C₂×C₄	—	10	1	no	—
1761	C₂×C₄	—	10	1	no	—
1762	C₂×C₄	—	10	1	no	—
1763	C₂×C₄	—	10	1	no	—
1764	C₂×C₄	—	10	1	no	—
1765	C₂×C₄	—	10	1	no	—
1766	C₂×C₄	—	10	1	no	—
1767	C₂×C₄	—	10	1	no	—
1768	C₂×C₄	—	10	1	no	—
1769	C₂×C₄	—	10	1	no	—
1770	C₂×C₄	—	10	1	no	—
1771	C₂×C₄	—	10	1	no	—
1772	C₂×C₄	—	10	1	no	—
1773	C₂×C₄	—	10	1	no	—
1774	C₂×C₄	—	10	1	no	—
1775	C₂×C₄	—	10	1	no	—
1776	C₂×C₄	—	10	1	no	—
1777	C₂×C₄	—	10	1	no	—
1778	C₂×C₄	—	10	1	no	—
1779	C₂×C₄	—	10	1	no	—
1780	C₂×C₄	—	10	1	no	—
1781	C₂×C₄	—	10	1	no	—
1782	C₂×C₄	—	10	1	no	—
1783	C₂×C₄	—	10	1	no	—
1784	C₂×C₄	—	10	2	no	—
1785	C₂×C₄	—	10	2	no	—
1786	C₂×C₄	—	10	2	no	—
1787	C₂×C₄	—	10	2	no	—
1788	C₂×C₄	—	10	1	no	—
1789	C₂×C₄	—	10	1	no	—
1790	C₂×C₄	—	10	1	no	—
1791	C₂×C₄	—	10	1	no	—
1792	C₂×C₄	—	10	1	no	—
1793	C₂×C₄	—	10	1	no	—
1794	C₂×C₄	—	10	1	no	—
1795	C₂×C₄	—	10	1	no	—
1796	C₂×C₄	—	10	1	no	—
1797	C₂×C₄	—	10	1	no	—
1798	C₂×C₄	—	10	1	no	—
1799	C₂×C₄	—	10	1	no	—
1800	C₂×C₄	—	10	2	no	—
1801	C₂×C₄	—	10	2	no	—
1802	C₂×C₄	—	10	1	no	—
1803	C₂×C₄	—	10	1	no	—
1804	C₂×C₄	—	10	1	no	—
1805	C₂×C₄	—	10	1	no	—
1806	C₂×C₄	—	10	1	no	—
1807	C₂×C₄	—	10	1	no	—
1808	C₂×C₄	—	10	1	no	—
1809	C₂×C₄	—	10	1	no	—
1810	C₂×C₄	—	10	1	no	—
1811	C₂×C₄	—	10	1	no	—
1812	C₂×C₄	—	10	1	no	—
1813	C₂×C₄	—	10	1	no	—
1814	C₂×C₄	—	10	1	no	—
1815	C₂×C₄	—	10	1	no	—
1816	C₂×C₄	—	10	1	no	—
1817	C₂×C₄	—	10	1	no	—
1818	C₂×C₄	—	10	1	no	—
1819	C₂×C₄	—	10	1	no	—
1820	C₂×C₄	—	10	1	no	—
1821	C₂×C₄	—	10	1	no	—
1822	C₂×C₄	—	10	1	no	—
1823	C₂×C₄	—	10	1	no	—
1824	C₂×C₄	—	10	1	no	—
1825	C₂×C₄	—	10	1	no	—
1826	C₂×C₄	—	10	1	no	—
1827	C₂×C₄	—	10	1	no	—
1828	C₂×C₄	—	10	1	no	—
1829	C₂×C₄	—	10	1	no	—
1830	C₂×C₄	—	10	1	no	—
1831	C₂×C₄	—	10	1	no	—
1832	C₂×C₄	—	10	1	no	—
1833	C₂×C₄	—	10	1	no	—
1834	C₂×C₄	—	10	1	no	—
1835	C₂×C₄	—	20	1	no	—
1836	C₂×C₄	—	20	1	no	—
1837	C₂×C₄	—	20	1	no	—
1838	C₂×C₄	—	20	1	no	—
1839	C₂×C₄	—	20	1	no	—
1840	C₂×C₄	—	20	1	no	—
1841	C₂×C₄	—	20	4	no	—
1842	C₂×C₄	—	20	4	no	—
1843	C₂×C₄	—	40	2	no	—
1844	C₂×C₄	—	40	2	no	—
1845	C₂×C₄	—	40	2	no	—
1846	C₂×C₄	—	40	2	no	—
1847	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1848	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1849	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1850	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1851	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1852	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1853	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1854	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1855	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1856	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1857	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1858	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1859	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1860	C₅	#34297	1	1	yes	characteristic, complemented, Sylow
1861	C₂²	—	2	1	no	—
1862	C₂²	—	2	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	5	1	no	—
1867	C₂²	—	5	1	no	—
1868	C₂²	—	5	1	no	—
1869	C₂²	—	5	1	no	—
1870	C₂²	—	5	1	no	—
1871	C₂²	—	5	1	no	—
1872	C₂²	—	5	2	no	—
1873	C₂²	—	10	2	no	—
1874	C₂²	—	10	2	no	—
1875	C₂²	—	10	2	no	—
1876	C₂²	—	10	2	no	—
1877	C₂²	—	10	1	no	—
1878	C₂²	—	10	1	no	—
1879	C₂²	—	10	1	no	—
1880	C₂²	—	10	1	no	—
1881	C₂²	—	10	1	no	—
1882	C₂²	—	20	1	no	—
1883	C₂²	—	20	1	no	—
1884	C₂²	—	20	1	no	—
1885	C₂²	—	20	1	no	—
1886	C₂²	#41×AGL(1,𝔽₅)	1	2	yes	—
1887	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
1888	C₄	—	2	1	no	—
1889	C₄	—	2	1	no	—
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	2	1	no	—
1893	C₄	—	2	1	no	—
1894	C₄	—	2	1	no	—
1895	C₄	—	2	1	no	—
1896	C₄	—	2	1	no	—
1897	C₄	—	2	1	no	—
1898	C₄	—	2	1	no	—
1899	C₄	—	2	1	no	—
1900	C₄	—	2	1	no	—
1901	C₄	—	10	2	no	—
1902	C₄	—	10	2	no	—
1903	C₄	—	10	2	no	—
1904	C₄	—	10	2	no	—
1905	C₄	—	10	2	no	—
1906	C₄	—	10	1	no	—
1907	C₄	—	10	1	no	—
1908	C₄	—	10	1	no	—
1909	C₄	—	10	1	no	—
1910	C₄	—	10	1	no	—
1911	C₄	—	10	1	no	—
1912	C₄	—	10	1	no	—
1913	C₄	—	10	1	no	—
1914	C₄	—	10	1	no	—
1915	C₄	—	10	1	no	—
1916	C₄	—	10	1	no	—
1917	C₄	—	10	1	no	—
1918	C₄	—	10	1	no	—
1919	C₄	—	20	1	no	—
1920	C₄	—	20	1	no	—
1921	C₄	—	20	1	no	—
1922	C₄	—	20	1	no	—
1923	C₄	—	20	1	no	—
1924	C₄	—	20	1	no	—
1925	C₄	—	20	1	no	—
1926	C₄	—	20	1	no	—
1927	C₄	—	20	1	no	—
1928	C₄	—	20	1	no	—
1929	C₄	—	20	1	no	—
1930	C₂	—	2	2	no	—
1931	C₂	—	4	1	no	—
1932	C₂	—	5	1	no	—
1933	C₂	—	5	1	no	—
1934	C₂	—	5	1	no	—
1935	C₂	—	5	1	no	—
1936	C₂	—	10	2	no	—
1937	C₂	—	20	1	no	—
1938	C₂	C₂×#41×AGL(1,𝔽₅)	1	1	yes	characteristic
1939	C₂	#10619412	1	1	yes	characteristic
1940	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×#552	C₄
prime radical	C₂×D₄×D₅	C₂³
cosocle	C₂²×D₅	C₂⁵
hypercenter	#552	AGL(1,𝔽₅)
hypocenter	C₅	#34297
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #552

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. #10617347	C₂	semidirect
8. #10617346	C₂	semidirect
9. #10617345	C₂	semidirect
10. #10617345	C₂	semidirect
11. AGL(1,𝔽₅)×#125	C₂	semidirect
16. #10617287	C₂	semidirect
17. #10617287	C₂	semidirect
18. #10617284	C₂	semidirect
19. #10617283	C₂	semidirect
20. #10617214	C₂	semidirect
21. #10617209	C₂	semidirect
24. #10617132	C₂	semidirect
25. #10617132	C₂	semidirect
26. #10617132	C₂	semidirect
27. #10617129	C₂	semidirect
28. #10617127	C₂	semidirect
29. AGL(1,𝔽₅)×#117	C₂	semidirect
30. #10617103	C₂	semidirect
31. C₂×#65711	C₂	semidirect
38. C₅×#552	C₄	semidirect
39. #66042	C₄	semidirect
40. #66042	C₄	semidirect
43. #66028	C₄	semidirect
44. #66027	C₄	semidirect
45. #66027	C₄	semidirect
51. #65984	C₄	semidirect
52. #65984	C₄	semidirect
53. #65976	C₄	semidirect
54. #65973	C₄	semidirect
57. #65915	C₄	semidirect
60. #65875	C₄	semidirect
61. #65865	C₄	semidirect
62. #65865	C₄	semidirect
63. #65863	C₄	semidirect
67. #65847	C₄	semidirect
280. C₅×#126	C₂×C₄	semidirect
281. C₅×#126	C₂×C₄	semidirect
282. C₅×#125	C₂×C₄	semidirect
283. C₅×#125	C₂×C₄	semidirect
284. C₅×#125	C₂×C₄	semidirect
287. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
288. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
289. C₄×C₅×Q₈	C₂×C₄	semidirect
291. C₅×#117	C₂×C₄	semidirect
292. C₅×#117	C₂×C₄	semidirect
293. C₅×#117	C₂×C₄	semidirect
294. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
295. #4092	C₂×C₄	semidirect
296. #4092	C₂×C₄	semidirect
297. Q₈×Dic₅	C₂×C₄	semidirect
305. #4072	C₂×C₄	semidirect
306. #4072	C₂×C₄	semidirect
307. #4072	C₂×C₄	semidirect
308. C₂×C₄⋊Dic₅	C₂×C₄	semidirect
309. #4070	C₂×C₄	semidirect
310. #4070	C₂×C₄	semidirect
311. C₂×#683	C₂×C₄	semidirect
312. C₂×#683	C₂×C₄	semidirect
313. #4044	C₂×C₄	semidirect
314. #4044	C₂×C₄	semidirect
315. #4044	C₂×C₄	semidirect
316. #4044	C₂×C₄	semidirect
317. #4044	C₂×C₄	semidirect
318. #4044	C₂×C₄	semidirect
319. #4043	C₂×C₄	semidirect
320. #4043	C₂×C₄	semidirect
321. #4042	C₂×C₄	semidirect
322. #4042	C₂×C₄	semidirect
323. #4042	C₂×C₄	semidirect
324. #4042	C₂×C₄	semidirect
330. #4038	C₂×C₄	semidirect
331. #4038	C₂×C₄	semidirect
332. #4038	C₂×C₄	semidirect
333. #4038	C₂×C₄	semidirect
334. #4038	C₂×C₄	semidirect
335. #4038	C₂×C₄	semidirect
336. D₅×C₄⋊C₄	C₂×C₄	semidirect
337. D₅×C₄⋊C₄	C₂×C₄	semidirect
338. D₅×C₄⋊C₄	C₂×C₄	semidirect
339. D₅×C₄⋊C₄	C₂×C₄	semidirect
356. #4036	C₂×C₄	semidirect
357. #4036	C₂×C₄	semidirect
358. #4036	C₂×C₄	semidirect
359. #4036	C₂×C₄	semidirect
360. #4036	C₂×C₄	semidirect
361. #4036	C₂×C₄	semidirect
362. #4035	C₂×C₄	semidirect
363. #4035	C₂×C₄	semidirect
364. #4035	C₂×C₄	semidirect
365. #4035	C₂×C₄	semidirect
366. #4035	C₂×C₄	semidirect
367. #4035	C₂×C₄	semidirect
368. #4035	C₂×C₄	semidirect
369. #4035	C₂×C₄	semidirect
370. #4035	C₂×C₄	semidirect
371. #4035	C₂×C₄	semidirect
372. #4035	C₂×C₄	semidirect
373. #4035	C₂×C₄	semidirect
374. #4033	C₂×C₄	semidirect
375. #4033	C₂×C₄	semidirect
376. #4033	C₂×C₄	semidirect
393. #4025	C₂×C₄	semidirect
394. #4025	C₂×C₄	semidirect
395. #4025	C₂×C₄	semidirect
396. #4025	C₂×C₄	semidirect
397. #4025	C₂×C₄	semidirect
398. #4025	C₂×C₄	semidirect
399. #4024	C₂×C₄	semidirect
400. #4024	C₂×C₄	semidirect
401. #4024	C₂×C₄	semidirect
402. #4024	C₂×C₄	semidirect
403. #4023	C₂×C₄	semidirect
404. #4023	C₂×C₄	semidirect
405. #4023	C₂×C₄	semidirect
406. #4023	C₂×C₄	semidirect
407. #4023	C₂×C₄	semidirect
408. #4023	C₂×C₄	semidirect
409. #4022	C₂×C₄	semidirect
410. #4022	C₂×C₄	semidirect
412. #4018	C₂×C₄	semidirect
413. #4018	C₂×C₄	semidirect
414. #4018	C₂×C₄	semidirect
415. #4018	C₂×C₄	semidirect
416. #4018	C₂×C₄	semidirect
417. #4018	C₂×C₄	semidirect
423. #4016	C₂×C₄	semidirect
424. #4016	C₂×C₄	semidirect
425. #4016	C₂×C₄	semidirect
426. C₄×Dic₁₀	C₂×C₄	semidirect
427. C₄×Dic₁₀	C₂×C₄	semidirect
428. C₄×Dic₁₀	C₂×C₄	semidirect
790. #552	AGL(1,𝔽₅)	semidirect
1119. #126	C₂×AGL(1,𝔽₅)	semidirect
1120. #126	C₂×AGL(1,𝔽₅)	semidirect
1142. #125	C₂×AGL(1,𝔽₅)	semidirect
1143. #125	C₂×AGL(1,𝔽₅)	semidirect
1144. #125	C₂×AGL(1,𝔽₅)	semidirect
1175. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1176. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1184. C₄×Q₈	C₂×AGL(1,𝔽₅)	semidirect
1218. #117	C₂×AGL(1,𝔽₅)	semidirect
1219. #117	C₂×AGL(1,𝔽₅)	semidirect
1220. #117	C₂×AGL(1,𝔽₅)	semidirect
1265. C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	semidirect
1860. C₅	#34297	semidirect

Maximal subgroups

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

subgroup	index
D₅×#552	2
#10617359	2
#10617358	2
AGL(1,𝔽₅)×#126	2
#10617347	2
#10617346	2
#10617345	2
AGL(1,𝔽₅)×#125	2
#10617306	2
#10617304	2
AGL(1,𝔽₅)×#123	2
#10617287	2
#10617284	2
#10617283	2
#10617214	2
#10617209	2
#10617180	2
#10617172	2
#10617132	2
#10617129	2
#10617127	2
AGL(1,𝔽₅)×#117	2
#10617103	2
C₂×#65711	2
#34297	5