Subgroups — #13044259

Order 1280.

2522 conjugacy classes of subgroups.

The subgroup lattice has 2244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#538	C₂	1	1	yes	maximal, characteristic
2	#10617360	C₂	1	1	yes	maximal, characteristic, complemented
3	#10617359	C₂	1	1	yes	maximal, characteristic, complemented
4	#10617358	C₂	1	1	yes	maximal, characteristic, complemented
5	#10617358	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617328	C₂	1	1	yes	maximal, characteristic, complemented
7	#10617326	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617325	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617324	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617308	C₂	1	1	yes	maximal, characteristic, complemented
11	#10617306	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
13	#10617304	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617287	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617285	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617256	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617255	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617253	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617253	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617251	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617250	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617222	C₂	1	1	yes	maximal, characteristic, complemented
23	#10617222	C₂	1	1	yes	maximal, characteristic, complemented
24	AGL(1,𝔽₅)×#120	C₂	1	1	yes	maximal, characteristic, complemented
25	AGL(1,𝔽₅)×#120	C₂	1	1	yes	maximal, characteristic, complemented
26	#10617180	C₂	1	1	yes	maximal, characteristic, complemented
27	#10617179	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617178	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×C₄⋊AGL(1,𝔽₅)	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617070	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65699	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
33	C₂²×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
34	C₂×Q₈×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
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×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
39	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
40	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
41	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
42	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
43	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4130	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
46	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
47	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
48	C₅×#538	C₄	1	1	yes	characteristic, complemented
49	#66038	C₄	1	1	yes	characteristic, complemented
50	#66038	C₄	1	1	yes	characteristic, complemented
51	D₅×#126	C₂²	1	1	yes	characteristic
52	D₅×#126	C₂²	1	1	yes	characteristic
53	#66012	C₄	1	1	yes	characteristic, complemented
54	#66012	C₄	1	1	yes	characteristic, complemented
55	D₅×#124	C₂²	1	1	yes	characteristic
56	D₅×#124	C₂²	1	1	yes	characteristic
57	#65991	C₄	1	1	yes	characteristic, complemented
58	#65991	C₄	1	1	yes	characteristic, complemented
59	D₅×#123	C₂²	1	1	yes	characteristic
60	D₅×#123	C₂²	1	1	yes	characteristic
61	#65978	C₄	1	1	yes	characteristic, complemented
62	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	#65951	C₄	1	1	yes	characteristic, complemented
64	#65947	C₄	1	1	yes	characteristic, complemented
65	#65947	C₄	1	1	yes	characteristic, complemented
66	D₅×#121	C₂²	1	1	yes	characteristic
67	D₅×#121	C₂²	1	1	yes	characteristic
68	D₅×#121	C₂²	1	1	yes	characteristic
69	#65927	C₄	1	1	yes	characteristic, complemented
70	#65927	C₄	1	1	yes	characteristic, complemented
71	D₅×#120	C₂²	1	1	yes	characteristic
72	D₅×#120	C₂²	1	1	yes	characteristic
73	#65894	C₄	1	1	yes	characteristic, complemented
74	#65894	C₄	1	1	yes	characteristic, complemented
75	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
77	#65828	C₄	1	1	yes	characteristic, complemented
78	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
79	#65800	C₂²	1	1	yes	characteristic
80	#65800	C₂²	1	1	yes	characteristic
81	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic, complemented
82	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic, complemented
83	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic, complemented
84	#65780	C₂²	1	1	yes	characteristic
85	#65780	C₂²	1	1	yes	characteristic
86	#65780	C₂²	1	1	yes	characteristic
87	#65780	C₂²	1	1	yes	characteristic
88	#65780	C₂²	1	1	yes	characteristic, complemented
89	#65779	C₂²	1	1	yes	characteristic
90	#65779	C₂²	1	1	yes	characteristic
91	#65779	C₂²	1	1	yes	characteristic
92	#65779	C₂²	1	1	yes	characteristic
93	#65779	C₂²	1	1	yes	characteristic
94	#65779	C₂²	1	1	yes	characteristic
95	#65779	C₂²	1	1	yes	characteristic
96	#65779	C₂²	1	1	yes	characteristic
97	#65779	C₂²	1	1	yes	characteristic
98	#65779	C₂²	1	1	yes	characteristic
99	#65779	C₂²	1	1	yes	characteristic
100	#65779	C₂²	1	1	yes	characteristic
101	#65779	C₂²	1	1	yes	characteristic, complemented
102	#65779	C₂²	1	1	yes	characteristic, complemented
103	#65765	C₂²	1	1	yes	characteristic
104	#65765	C₂²	1	1	yes	characteristic
105	#65765	C₂²	1	1	yes	characteristic, complemented
106	#65765	C₂²	1	1	yes	characteristic, complemented
107	#65765	C₂²	1	1	yes	characteristic, complemented
108	#65764	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
110	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
111	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
112	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
113	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
114	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	#65712	C₂²	1	1	yes	characteristic, complemented
116	#65712	C₂²	1	1	yes	characteristic, complemented
117	#65712	C₂²	1	1	yes	characteristic, complemented
118	#65712	C₂²	1	1	yes	characteristic, complemented
119	#65712	C₂²	1	1	yes	characteristic, complemented
120	#65712	C₂²	1	1	yes	characteristic, complemented
121	#65712	C₂²	1	1	yes	characteristic, complemented
122	#65712	C₂²	1	1	yes	characteristic, complemented
123	#65711	C₂²	1	1	yes	characteristic, complemented
124	#65711	C₂²	1	1	yes	characteristic, complemented
125	#65711	C₂²	1	1	yes	characteristic, complemented
126	#65711	C₂²	1	1	yes	characteristic, complemented
127	#65711	C₂²	1	1	yes	characteristic, complemented
128	#65711	C₂²	1	1	yes	characteristic, complemented
129	#65711	C₂²	1	1	yes	characteristic, complemented
130	#65711	C₂²	1	1	yes	characteristic, complemented
131	#65711	C₂²	1	1	yes	characteristic, complemented
132	#65711	C₂²	1	1	yes	characteristic, complemented
133	#65711	C₂²	1	1	yes	characteristic, complemented
134	#65711	C₂²	1	1	yes	characteristic, complemented
135	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
136	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
137	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
138	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
139	#65700	C₂²	1	1	yes	characteristic
140	#65700	C₂²	1	1	yes	characteristic
141	#65700	C₂²	1	1	yes	characteristic
142	#65700	C₂²	1	1	yes	characteristic
143	#65700	C₂²	1	1	yes	characteristic
144	#65700	C₂²	1	1	yes	characteristic
145	#65700	C₂²	1	1	yes	characteristic
146	#65700	C₂²	1	1	yes	characteristic
147	#65700	C₂²	1	1	yes	characteristic
148	#65700	C₂²	1	1	yes	characteristic
149	#65700	C₂²	1	1	yes	characteristic
150	#65700	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, complemented
156	#65700	C₂²	1	1	yes	characteristic, complemented
157	#65700	C₂²	1	1	yes	characteristic, complemented
158	#65700	C₂²	1	1	yes	characteristic, complemented
159	#65700	C₂²	1	1	yes	characteristic, complemented
160	#65700	C₂²	1	1	yes	characteristic, complemented
161	#65700	C₂²	1	1	yes	characteristic, complemented
162	#65700	C₂²	1	1	yes	characteristic, complemented
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	#65699	C₂²	1	1	yes	characteristic
170	#65699	C₂²	1	1	yes	characteristic
171	#65699	C₂²	1	1	yes	characteristic
172	#65699	C₂²	1	1	yes	characteristic
173	#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, complemented
180	#65699	C₂²	1	1	yes	characteristic, complemented
181	#65699	C₂²	1	1	yes	characteristic, complemented
182	#65699	C₂²	1	1	yes	characteristic, complemented
183	#65699	C₂²	1	1	yes	characteristic, complemented
184	#65699	C₂²	1	1	yes	characteristic, complemented
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, complemented
194	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
195	#65690	C₂²	1	1	yes	characteristic, complemented
196	#65689	C₂²	1	1	yes	characteristic, complemented
197	#65689	C₂²	1	1	yes	characteristic, complemented
198	#65688	C₂²	1	1	yes	characteristic, complemented
199	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
200	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic, complemented
202	#65686	C₂²	1	1	yes	characteristic, complemented
203	#34416	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	C₂³	1	1	yes	characteristic
205	C₂³×AGL(1,𝔽₅)	—	4	2	no	—
206	C₂³×AGL(1,𝔽₅)	—	4	2	no	—
207	C₂³×AGL(1,𝔽₅)	—	4	2	no	—
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	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
213	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
214	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
215	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
216	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
217	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
218	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
219	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
221	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊AGL(1,𝔽₅)	—	4	2	no	—
233	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
261	Q₈×AGL(1,𝔽₅)	—	4	2	no	—
262	D₄×AGL(1,𝔽₅)	—	4	2	no	—
263	D₄×AGL(1,𝔽₅)	—	4	2	no	—
264	D₄×AGL(1,𝔽₅)	—	4	2	no	—
265	D₄×AGL(1,𝔽₅)	—	4	2	no	—
266	D₄×AGL(1,𝔽₅)	—	4	2	no	—
267	D₄×AGL(1,𝔽₅)	—	4	2	no	—
268	D₄×AGL(1,𝔽₅)	—	4	2	no	—
269	D₄×AGL(1,𝔽₅)	—	4	2	no	—
270	D₄×AGL(1,𝔽₅)	—	4	2	no	—
271	#4130	—	4	2	no	—
272	C₂×C₄⋊AGL(1,𝔽₅)	—	4	2	no	—
273	C₂×C₄⋊AGL(1,𝔽₅)	—	4	2	no	—
274	C₂×C₄⋊AGL(1,𝔽₅)	—	4	2	no	—
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	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
299	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
300	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
301	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
302	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
303	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
304	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
305	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
306	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
307	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
308	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
309	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
310	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
311	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
312	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
313	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
314	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
315	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
316	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
317	C₅×#124	C₂×C₄	1	1	yes	characteristic, complemented
318	C₅×#124	C₂×C₄	1	1	yes	characteristic, complemented
319	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
320	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
321	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
322	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
323	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
324	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
325	C₅×#120	C₂×C₄	1	1	yes	characteristic, complemented
326	C₅×#120	C₂×C₄	1	1	yes	characteristic, complemented
327	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
328	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
329	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
330	#4099	C₂×C₄	1	1	yes	characteristic, complemented
331	#4099	C₂×C₄	1	1	yes	characteristic, complemented
332	C₂×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
333	#4093	C₂×C₄	1	1	yes	characteristic, complemented
334	#4093	C₂×C₄	1	1	yes	characteristic, complemented
335	#4092	C₂×C₄	1	1	yes	characteristic, complemented
336	#4085	C₂×C₄	1	1	yes	characteristic, complemented
337	#4085	C₂×C₄	1	1	yes	characteristic, complemented
338	#4085	C₂×C₄	1	1	yes	characteristic, complemented
339	#4085	C₂×C₄	1	1	yes	characteristic, complemented
340	#4085	C₂×C₄	1	1	yes	characteristic, complemented
341	#4085	C₂×C₄	1	1	yes	characteristic, complemented
342	#4084	C₂×C₄	1	1	yes	characteristic, complemented
343	#4084	C₂×C₄	1	1	yes	characteristic, complemented
344	#4084	C₂×C₄	1	1	yes	characteristic, complemented
345	#4083	C₂×C₄	1	1	yes	characteristic, complemented
346	#4083	C₂×C₄	1	1	yes	characteristic, complemented
347	#4083	C₂×C₄	1	1	yes	characteristic, complemented
348	#4083	C₂×C₄	1	1	yes	characteristic, complemented
349	#4083	C₂×C₄	1	1	yes	characteristic, complemented
350	#4083	C₂×C₄	1	1	yes	characteristic, complemented
351	#4082	C₂×C₄	1	1	yes	characteristic, complemented
352	#4082	C₂×C₄	1	1	yes	characteristic, complemented
353	#4081	C₂×C₄	1	1	yes	characteristic, complemented
354	#4081	C₂×C₄	1	1	yes	characteristic, complemented
355	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
356	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
357	#4076	C₂×C₄	1	1	yes	characteristic, complemented
358	#4076	C₂×C₄	1	1	yes	characteristic, complemented
359	#4076	C₂×C₄	1	1	yes	characteristic, complemented
360	#4075	C₂×C₄	1	1	yes	characteristic, complemented
361	#4075	C₂×C₄	1	1	yes	characteristic, complemented
362	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
363	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
364	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
365	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
366	C₂×#685	C₂×C₄	1	1	yes	characteristic, complemented
367	C₂×#685	C₂×C₄	1	1	yes	characteristic, complemented
368	#4070	C₂×C₄	1	1	yes	characteristic, complemented
369	#4044	C₂×C₄	1	1	yes	characteristic, complemented
370	#4044	C₂×C₄	1	1	yes	characteristic, complemented
371	#4044	C₂×C₄	1	1	yes	characteristic, complemented
372	#4044	C₂×C₄	1	1	yes	characteristic, complemented
373	#4044	C₂×C₄	1	1	yes	characteristic, complemented
374	#4044	C₂×C₄	1	1	yes	characteristic, complemented
375	#4043	C₂×C₄	1	1	yes	characteristic, complemented
376	#4042	C₂×C₄	1	1	yes	characteristic, complemented
377	#4042	C₂×C₄	1	1	yes	characteristic, complemented
378	#4041	C₂×C₄	1	1	yes	characteristic, complemented
379	#4041	C₂×C₄	1	1	yes	characteristic, complemented
380	#4041	C₂×C₄	1	1	yes	characteristic, complemented
381	#4040	C₂×C₄	1	1	yes	characteristic, complemented
382	#4040	C₂×C₄	1	1	yes	characteristic, complemented
383	#4040	C₂×C₄	1	1	yes	characteristic, complemented
384	#4040	C₂×C₄	1	1	yes	characteristic, complemented
385	#4039	C₂×C₄	1	1	yes	characteristic, complemented
386	#4039	C₂×C₄	1	1	yes	characteristic, complemented
387	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
388	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
389	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
390	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
391	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
392	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
393	#4032	C₂×C₄	1	1	yes	characteristic, complemented
394	#4032	C₂×C₄	1	1	yes	characteristic, complemented
395	#4031	C₂×C₄	1	1	yes	characteristic, complemented
396	#4031	C₂×C₄	1	1	yes	characteristic, complemented
397	#4031	C₂×C₄	1	1	yes	characteristic, complemented
398	#4031	C₂×C₄	1	1	yes	characteristic, complemented
399	#4031	C₂×C₄	1	1	yes	characteristic, complemented
400	#4031	C₂×C₄	1	1	yes	characteristic, complemented
401	#4031	C₂×C₄	1	1	yes	characteristic, complemented
402	#4031	C₂×C₄	1	1	yes	characteristic, complemented
403	#4030	C₂×C₄	1	1	yes	characteristic, complemented
404	#4030	C₂×C₄	1	1	yes	characteristic, complemented
405	#4030	C₂×C₄	1	1	yes	characteristic, complemented
406	#4030	C₂×C₄	1	1	yes	characteristic, complemented
407	#4030	C₂×C₄	1	1	yes	characteristic, complemented
408	#4030	C₂×C₄	1	1	yes	characteristic, complemented
409	#4029	C₂×C₄	1	1	yes	characteristic, complemented
410	#4029	C₂×C₄	1	1	yes	characteristic, complemented
411	#4029	C₂×C₄	1	1	yes	characteristic, complemented
412	#4029	C₂×C₄	1	1	yes	characteristic, complemented
413	#4028	C₂×C₄	1	1	yes	characteristic, complemented
414	#4028	C₂×C₄	1	1	yes	characteristic, complemented
415	#4028	C₂×C₄	1	1	yes	characteristic, complemented
416	#4028	C₂×C₄	1	1	yes	characteristic, complemented
417	#4028	C₂×C₄	1	1	yes	characteristic, complemented
418	#4028	C₂×C₄	1	1	yes	characteristic, complemented
419	#4027	C₂×C₄	1	1	yes	characteristic, complemented
420	#4027	C₂×C₄	1	1	yes	characteristic, complemented
421	#4027	C₂×C₄	1	1	yes	characteristic, complemented
422	#4027	C₂×C₄	1	1	yes	characteristic, complemented
423	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
424	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
425	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
426	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
427	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
428	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
429	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
430	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
431	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
432	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
433	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
434	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
435	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
436	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
437	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
438	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
439	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
440	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
441	#4025	C₂×C₄	1	1	yes	characteristic, complemented
442	#4025	C₂×C₄	1	1	yes	characteristic, complemented
443	#4025	C₂×C₄	1	1	yes	characteristic, complemented
444	#4025	C₂×C₄	1	1	yes	characteristic, complemented
445	#4025	C₂×C₄	1	1	yes	characteristic, complemented
446	#4025	C₂×C₄	1	1	yes	characteristic, complemented
447	#4024	C₂×C₄	1	1	yes	characteristic, complemented
448	#4024	C₂×C₄	1	1	yes	characteristic, complemented
449	#4022	C₂×C₄	1	1	yes	characteristic, complemented
450	#4022	C₂×C₄	1	1	yes	characteristic, complemented
451	#4021	C₂×C₄	1	1	yes	characteristic, complemented
452	#4021	C₂×C₄	1	1	yes	characteristic, complemented
453	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
454	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
455	C₄²×D₅	C₂³	1	1	yes	characteristic
456	C₄²×D₅	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×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
492	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
493	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
494	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
495	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
496	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
497	C₂×#538	—	5	1	no	—
498	#2383	—	5	1	no	—
499	#2379	—	5	1	no	—
500	#2377	—	5	1	no	—
501	#2376	—	5	1	no	—
502	#2373	—	5	1	no	—
503	#2368	—	5	1	no	—
504	#2367	—	5	1	no	—
505	#2364	—	5	1	no	—
506	#2361	—	5	1	no	—
507	#2361	—	5	1	no	—
508	#2360	—	5	1	no	—
509	#2359	—	5	1	no	—
510	#2353	—	5	1	no	—
511	#2352	—	5	1	no	—
512	#2349	—	5	1	no	—
513	D₄×C₄⋊C₄	—	5	1	no	—
514	#2337	—	5	1	no	—
515	#2335	—	5	1	no	—
516	#2334	—	5	1	no	—
517	#2334	—	5	1	no	—
518	#2326	—	5	1	no	—
519	#2325	—	5	1	no	—
520	#2324	—	5	1	no	—
521	#2322	—	5	1	no	—
522	#2321	—	5	1	no	—
523	#2321	—	5	1	no	—
524	#2312	—	5	1	no	—
525	C₄×#120	—	5	1	no	—
526	C₄×#120	—	5	1	no	—
527	C₂×#385	—	5	1	no	—
528	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
529	C₂³×D₅	—	2	2	no	—
530	C₂³×D₅	—	2	2	no	—
531	C₂³×D₅	—	4	1	no	—
532	C₂³×D₅	—	4	1	no	—
533	C₂³×D₅	—	4	1	no	—
534	C₂³×D₅	—	4	1	no	—
535	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
536	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
537	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
538	C₂³×D₅	C₂⁴	1	1	yes	characteristic
539	C₂³×D₅	C₂⁴	1	1	yes	characteristic
540	C₂³×D₅	C₂⁴	1	1	yes	characteristic
541	C₂³×D₅	C₂⁴	1	1	yes	characteristic
542	C₂³×D₅	C₂⁴	1	1	yes	characteristic
543	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
544	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
545	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
546	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
547	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
548	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
549	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
550	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
551	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
552	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
553	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
554	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
555	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
556	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
557	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
558	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
559	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
560	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
561	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
562	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
563	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
564	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
565	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
566	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
567	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
568	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
569	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
570	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
571	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
572	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
573	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
574	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
575	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
576	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
577	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
578	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
579	C₂²×AGL(1,𝔽₅)	—	4	16	no	—
580	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
581	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
582	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
583	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
584	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
585	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
586	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
587	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
588	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
589	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
590	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
591	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
592	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
593	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
594	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
595	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
596	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic, complemented
597	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic, complemented
604	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
605	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
606	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic, complemented
607	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic, complemented
608	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
618	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
619	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
620	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic, complemented
621	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic, complemented
622	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
623	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
624	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
625	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
626	Q₈×D₅	—	4	1	no	—
627	Q₈×D₅	—	4	1	no	—
628	D₄×D₅	—	2	2	no	—
629	D₄×D₅	—	2	2	no	—
630	D₄×D₅	—	2	2	no	—
631	D₄×D₅	—	2	2	no	—
632	D₄×D₅	—	4	1	no	—
633	D₄×D₅	—	4	1	no	—
634	D₄×D₅	—	4	1	no	—
635	D₄×D₅	—	4	1	no	—
636	D₄×D₅	—	4	1	no	—
637	D₄×D₅	—	4	1	no	—
638	D₄×D₅	—	4	1	no	—
639	D₄×D₅	—	4	1	no	—
640	D₄×D₅	—	4	1	no	—
641	D₄×D₅	—	4	1	no	—
642	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
643	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
644	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
645	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
646	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
647	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
648	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic, complemented
649	C₂×C₄×D₅	—	4	1	no	—
650	C₂×C₄×D₅	—	4	1	no	—
651	C₂×C₄×D₅	—	4	1	no	—
652	C₂×C₄×D₅	—	4	1	no	—
653	C₂×C₄×D₅	—	4	1	no	—
654	C₂×C₄×D₅	—	4	1	no	—
655	C₂×C₄×D₅	—	4	1	no	—
656	C₂×C₄×D₅	—	4	1	no	—
657	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic, complemented
662	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic, complemented
663	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic, complemented
664	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic, complemented
665	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
666	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
667	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
668	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
669	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
670	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
671	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
672	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
673	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
674	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
675	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic, complemented
676	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic, complemented
677	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic, complemented
678	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
679	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
680	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
681	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
682	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
683	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
684	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
685	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
686	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
687	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
688	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
689	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
690	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
691	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
692	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
693	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
694	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
695	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
696	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
697	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
698	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
699	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
700	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
701	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
702	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
703	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
704	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
705	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
706	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
707	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
708	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
709	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
710	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
711	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
712	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
713	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
714	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
715	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
716	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
717	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
718	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
719	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
720	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
721	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
722	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
723	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
724	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
725	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
726	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
727	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
728	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
729	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
730	C₄×AGL(1,𝔽₅)	—	2	2	no	—
731	C₄×AGL(1,𝔽₅)	—	2	2	no	—
732	C₄×AGL(1,𝔽₅)	—	4	1	no	—
733	C₄×AGL(1,𝔽₅)	—	4	1	no	—
734	C₄×AGL(1,𝔽₅)	—	4	1	no	—
735	C₄×AGL(1,𝔽₅)	—	4	1	no	—
736	C₄×AGL(1,𝔽₅)	—	4	1	no	—
737	C₄×AGL(1,𝔽₅)	—	4	1	no	—
738	C₄×AGL(1,𝔽₅)	—	4	1	no	—
739	C₄×AGL(1,𝔽₅)	—	4	1	no	—
740	C₄×AGL(1,𝔽₅)	—	4	1	no	—
741	C₄×AGL(1,𝔽₅)	—	4	1	no	—
742	C₄×AGL(1,𝔽₅)	—	4	1	no	—
743	C₄×AGL(1,𝔽₅)	—	4	1	no	—
744	C₄×AGL(1,𝔽₅)	—	4	1	no	—
745	C₄×AGL(1,𝔽₅)	—	4	1	no	—
746	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
747	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
748	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
749	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
750	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
751	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
752	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
759	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
763	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
764	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
765	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
766	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic, complemented
767	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic, complemented
768	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
769	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
770	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
771	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
772	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
773	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
774	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
775	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
776	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
777	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
778	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
779	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
780	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
781	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
782	#685	C₂²×C₄	1	1	yes	characteristic
783	#685	C₂²×C₄	1	1	yes	characteristic
784	#685	C₂²×C₄	1	1	yes	characteristic
785	#685	C₂²×C₄	1	1	yes	characteristic
786	#685	C₂²×C₄	1	1	yes	characteristic
787	#685	C₂²×C₄	1	1	yes	characteristic
788	#685	C₂²×C₄	1	1	yes	characteristic
789	#685	C₂²×C₄	1	1	yes	characteristic
790	#685	C₂²×C₄	1	1	yes	characteristic
791	#685	C₂²×C₄	1	1	yes	characteristic
792	#685	C₂²×C₄	1	1	yes	characteristic
793	#685	C₂²×C₄	1	1	yes	characteristic
794	#685	C₂²×C₄	1	1	yes	characteristic
795	#685	C₂²×C₄	1	1	yes	characteristic
796	#685	C₂²×C₄	1	1	yes	characteristic
797	#685	C₂²×C₄	1	1	yes	characteristic
798	#685	C₂²×C₄	1	1	yes	characteristic
799	#685	C₂²×C₄	1	1	yes	characteristic
800	#685	C₂²×C₄	1	1	yes	characteristic
801	#685	C₂²×C₄	1	1	yes	characteristic
802	#685	C₂²×C₄	1	1	yes	characteristic, complemented
803	#685	C₂²×C₄	1	1	yes	characteristic, complemented
804	#685	C₂²×C₄	1	1	yes	characteristic, complemented
805	#685	C₂²×C₄	1	1	yes	characteristic, complemented
806	#685	C₂²×C₄	1	1	yes	characteristic, complemented
807	#685	C₂²×C₄	1	1	yes	characteristic, complemented
808	#685	C₂²×C₄	1	1	yes	characteristic, complemented
809	#685	C₂²×C₄	1	1	yes	characteristic, complemented
810	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
811	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
812	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
813	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
814	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
815	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
816	#683	C₂²×C₄	1	1	yes	characteristic, complemented
817	#683	C₂²×C₄	1	1	yes	characteristic, complemented
818	#683	C₂²×C₄	1	1	yes	characteristic, complemented
819	#683	C₂²×C₄	1	1	yes	characteristic, complemented
820	#683	C₂²×C₄	1	1	yes	characteristic, complemented
821	#683	C₂²×C₄	1	1	yes	characteristic, complemented
822	#683	C₂²×C₄	1	1	yes	characteristic, complemented
823	#683	C₂²×C₄	1	1	yes	characteristic, complemented
824	#683	C₂²×C₄	1	1	yes	characteristic, complemented
825	#683	C₂²×C₄	1	1	yes	characteristic, complemented
826	#683	C₂²×C₄	1	1	yes	characteristic, complemented
827	#683	C₂²×C₄	1	1	yes	characteristic, complemented
828	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
829	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
830	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
831	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
832	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
833	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic, complemented
834	C₂⁴×C₄	—	5	1	no	—
835	#538	—	5	1	no	—
836	#538	—	5	1	no	—
837	#538	—	5	1	no	—
838	#538	—	5	1	no	—
839	#538	—	5	1	no	—
840	#538	—	5	1	no	—
841	#538	—	5	1	no	—
842	#538	—	5	1	no	—
843	#538	—	5	1	no	—
844	#538	—	5	1	no	—
845	#538	—	5	1	no	—
846	#538	—	5	1	no	—
847	#538	—	5	1	no	—
848	#538	—	5	1	no	—
849	#538	—	5	1	no	—
850	#538	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
851	C₂×#126	—	5	1	no	—
852	C₂×#126	—	5	1	no	—
853	C₂×#124	—	5	1	no	—
854	C₂×#124	—	5	1	no	—
855	C₂×#123	—	5	1	no	—
856	C₂×#123	—	5	1	no	—
857	C₂×C₂²⋊Q₈	—	5	1	no	—
858	C₂×#121	—	5	1	no	—
859	C₂×#121	—	5	1	no	—
860	C₂×#121	—	5	1	no	—
861	C₂×#120	—	5	1	no	—
862	C₂×#120	—	5	1	no	—
863	C₂×C₄×Q₈	—	5	1	no	—
864	C₂×C₄×D₄	—	5	1	no	—
865	C₂×C₄×D₄	—	5	1	no	—
866	C₂×C₄×D₄	—	5	1	no	—
867	C₂×C₄×D₄	—	5	1	no	—
868	C₂×C₄×D₄	—	5	1	no	—
869	C₂×C₄×D₄	—	5	1	no	—
870	C₂×C₄×D₄	—	5	1	no	—
871	C₂×C₄×D₄	—	5	1	no	—
872	C₂×C₄×D₄	—	5	1	no	—
873	C₂×C₄×D₄	—	5	1	no	—
874	C₂×C₄×D₄	—	5	1	no	—
875	C₂×#117	—	5	1	no	—
876	C₂²×C₄⋊C₄	—	5	1	no	—
877	C₂²×C₄⋊C₄	—	5	1	no	—
878	C₂²×C₄⋊C₄	—	5	1	no	—
879	C₂²×C₂²⋊C₄	—	5	1	no	—
880	C₂²×C₂²⋊C₄	—	5	1	no	—
881	#391	—	5	1	no	—
882	#391	—	5	1	no	—
883	#391	—	5	1	no	—
884	#390	—	5	1	no	—
885	#390	—	5	1	no	—
886	#390	—	5	1	no	—
887	#390	—	5	1	no	—
888	#390	—	5	1	no	—
889	#389	—	5	1	no	—
890	#389	—	5	1	no	—
891	#389	—	5	1	no	—
892	#389	—	5	1	no	—
893	#389	—	5	1	no	—
894	#389	—	5	1	no	—
895	#389	—	5	1	no	—
896	#389	—	5	1	no	—
897	#388	—	5	1	no	—
898	#388	—	5	1	no	—
899	#388	—	5	1	no	—
900	#388	—	5	1	no	—
901	#388	—	5	1	no	—
902	#388	—	5	1	no	—
903	#388	—	5	1	no	—
904	#388	—	5	1	no	—
905	#388	—	5	1	no	—
906	#388	—	5	1	no	—
907	#388	—	5	1	no	—
908	#388	—	5	1	no	—
909	#388	—	5	1	no	—
910	#388	—	5	1	no	—
911	#388	—	5	1	no	—
912	#388	—	5	1	no	—
913	#388	—	5	1	no	—
914	#388	—	5	1	no	—
915	#388	—	5	1	no	—
916	#388	—	5	1	no	—
917	#388	—	5	1	no	—
918	#388	—	5	1	no	—
919	#388	—	5	1	no	—
920	#388	—	5	1	no	—
921	#387	—	5	1	no	—
922	#387	—	5	1	no	—
923	#387	—	5	1	no	—
924	#387	—	5	1	no	—
925	#387	—	5	1	no	—
926	#387	—	5	1	no	—
927	#387	—	5	1	no	—
928	#387	—	5	1	no	—
929	#387	—	5	1	no	—
930	#387	—	5	1	no	—
931	#387	—	5	1	no	—
932	#387	—	5	1	no	—
933	#386	—	5	1	no	—
934	#386	—	5	1	no	—
935	#386	—	5	1	no	—
936	#386	—	5	1	no	—
937	#386	—	5	1	no	—
938	#386	—	5	1	no	—
939	#386	—	5	1	no	—
940	#386	—	5	1	no	—
941	#386	—	5	1	no	—
942	#386	—	5	1	no	—
943	#386	—	5	1	no	—
944	#386	—	5	1	no	—
945	#386	—	5	1	no	—
946	#386	—	5	1	no	—
947	#385	—	5	1	no	—
948	#385	—	5	1	no	—
949	#385	—	5	1	no	—
950	#385	—	5	1	no	—
951	#385	—	5	1	no	—
952	#385	—	5	1	no	—
953	#385	—	5	1	no	—
954	#385	—	5	1	no	—
955	#385	—	5	1	no	—
956	#385	—	5	1	no	—
957	#385	—	5	1	no	—
958	#385	—	5	1	no	—
959	#385	—	5	1	no	—
960	#385	—	5	1	no	—
961	#385	—	5	1	no	—
962	#385	—	5	1	no	—
963	#385	—	5	1	no	—
964	#385	—	5	1	no	—
965	#385	—	5	1	no	—
966	#385	—	5	1	no	—
967	#385	—	5	1	no	—
968	#385	—	5	1	no	—
969	#384	—	5	1	no	—
970	#383	—	5	1	no	—
971	#382	—	5	1	no	—
972	#382	—	5	1	no	—
973	#381	—	5	1	no	—
974	#380	—	5	1	no	—
975	#380	—	5	1	no	—
976	#380	—	5	1	no	—
977	#380	—	5	1	no	—
978	#380	—	5	1	no	—
979	#379	—	5	1	no	—
980	#379	—	5	1	no	—
981	C₄×C₄⋊C₄	—	5	1	no	—
982	C₄×C₄⋊C₄	—	5	1	no	—
983	C₄×C₄⋊C₄	—	5	1	no	—
984	C₄×C₄⋊C₄	—	5	1	no	—
985	C₄×C₄⋊C₄	—	5	1	no	—
986	C₄×C₄⋊C₄	—	5	1	no	—
987	C₄×C₄⋊C₄	—	5	1	no	—
988	C₄×C₂²⋊C₄	—	5	1	no	—
989	C₄×C₂²⋊C₄	—	5	1	no	—
990	C₄×C₂²⋊C₄	—	5	1	no	—
991	C₄×C₂²⋊C₄	—	5	1	no	—
992	C₄×C₂²⋊C₄	—	5	1	no	—
993	C₄×C₂²⋊C₄	—	5	1	no	—
994	C₄×C₂²⋊C₄	—	5	1	no	—
995	C₄×C₂²⋊C₄	—	5	1	no	—
996	C₄×C₂²⋊C₄	—	5	1	no	—
997	C₄×C₂²⋊C₄	—	5	1	no	—
998	C₄×C₂²⋊C₄	—	5	1	no	—
999	C₄×C₂²⋊C₄	—	5	1	no	—
1000	C₄×C₂²⋊C₄	—	5	1	no	—
1001	#376	—	5	1	no	—
1002	C₂×#95	—	5	1	no	—
1003	C₂×#95	—	5	1	no	—
1004	C₂×#95	—	5	1	no	—
1005	C₂³×C₅	—	2	2	no	—
1006	C₂³×C₅	—	4	1	no	—
1007	C₂³×C₅	—	4	1	no	—
1008	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
1009	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
1010	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
1011	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
1012	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
1013	C₂²×D₅	—	2	1	no	—
1014	C₂²×D₅	—	2	1	no	—
1015	C₂²×D₅	—	2	1	no	—
1016	C₂²×D₅	—	2	1	no	—
1017	C₂²×D₅	—	2	2	no	—
1018	C₂²×D₅	—	2	2	no	—
1019	C₂²×D₅	—	2	2	no	—
1020	C₂²×D₅	—	2	1	no	—
1021	C₂²×D₅	—	2	1	no	—
1022	C₂²×D₅	—	2	1	no	—
1023	C₂²×D₅	—	2	1	no	—
1024	C₂²×D₅	—	2	1	no	—
1025	C₂²×D₅	—	2	1	no	—
1026	C₂²×D₅	—	2	1	no	—
1027	C₂²×D₅	—	2	1	no	—
1028	C₂²×D₅	—	2	1	no	—
1029	C₂²×D₅	—	2	1	no	—
1030	C₂²×D₅	—	2	1	no	—
1031	C₂²×D₅	—	2	1	no	—
1032	C₂²×D₅	—	2	1	no	—
1033	C₂²×D₅	—	2	1	no	—
1034	C₂²×D₅	—	2	1	no	—
1035	C₂²×D₅	—	2	1	no	—
1036	C₂²×D₅	—	2	1	no	—
1037	C₂²×D₅	—	2	1	no	—
1038	C₂²×D₅	—	2	1	no	—
1039	C₂²×D₅	—	2	1	no	—
1040	C₂²×D₅	—	2	1	no	—
1041	C₂²×D₅	—	2	1	no	—
1042	C₂²×D₅	—	2	1	no	—
1043	C₂²×D₅	—	2	1	no	—
1044	C₂²×D₅	—	4	1	no	—
1045	C₂²×D₅	—	4	1	no	—
1046	C₂²×D₅	—	4	1	no	—
1047	C₂²×D₅	—	4	1	no	—
1048	C₂²×D₅	—	4	1	no	—
1049	C₂²×D₅	—	4	1	no	—
1050	C₂²×D₅	—	4	4	no	—
1051	C₂²×D₅	—	4	4	no	—
1052	C₂²×D₅	—	4	4	no	—
1053	C₂²×D₅	—	4	4	no	—
1054	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1055	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1056	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1057	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1058	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1059	C₂²×D₅	H(5,𝔽₂)	1	2	yes	—
1060	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
1061	C₂²×D₅	C₂⁵	1	1	yes	characteristic
1062	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1063	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1064	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1065	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1066	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1067	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1068	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1069	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1070	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1071	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1072	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1073	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1074	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1075	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1076	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1077	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1078	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1079	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1080	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1081	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1082	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1083	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1084	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1085	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1086	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1087	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1088	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1089	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1090	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1091	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1092	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1093	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1094	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1095	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1096	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1097	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1098	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1099	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1100	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1101	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1102	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1103	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1104	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1105	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1106	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1107	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1108	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1109	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1110	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1111	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1112	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1113	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1114	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1115	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1116	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1117	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1118	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1119	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1120	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1121	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1122	C₅×Q₈	—	4	1	no	—
1123	C₅×D₄	—	2	2	no	—
1124	C₅×D₄	—	2	2	no	—
1125	C₅×D₄	—	4	1	no	—
1126	C₅×D₄	—	4	1	no	—
1127	C₅×D₄	—	4	1	no	—
1128	C₅×D₄	—	4	1	no	—
1129	C₅×D₄	—	4	1	no	—
1130	C₂×C₄×C₅	—	4	1	no	—
1131	C₂×C₄×C₅	—	4	1	no	—
1132	C₂×C₄×C₅	—	4	1	no	—
1133	C₂×C₄×C₅	—	4	1	no	—
1134	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1135	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1136	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1137	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1138	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1139	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1140	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1141	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1142	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1143	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1144	C₂²⋊D₅	—	2	2	no	—
1145	C₂²⋊D₅	—	2	2	no	—
1146	C₂²⋊D₅	—	2	2	no	—
1147	C₂²⋊D₅	—	2	2	no	—
1148	C₂²⋊D₅	—	4	1	no	—
1149	C₂²⋊D₅	—	4	1	no	—
1150	C₂²⋊D₅	—	4	1	no	—
1151	C₂²⋊D₅	—	4	1	no	—
1152	C₂²⋊D₅	—	4	1	no	—
1153	C₂²⋊D₅	—	4	1	no	—
1154	C₂²⋊D₅	—	4	1	no	—
1155	C₂²⋊D₅	—	4	1	no	—
1156	C₂²⋊D₅	—	4	1	no	—
1157	C₂²⋊D₅	—	4	1	no	—
1158	C₂×Dic₅	—	4	1	no	—
1159	C₂×Dic₅	—	4	1	no	—
1160	C₂×Dic₅	—	4	1	no	—
1161	C₂×Dic₅	—	4	1	no	—
1162	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1163	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1164	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1165	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1166	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1167	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1168	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1169	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1170	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1171	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1172	D₂₀	—	2	2	no	—
1173	D₂₀	—	2	2	no	—
1174	D₂₀	—	4	1	no	—
1175	D₂₀	—	4	1	no	—
1176	D₂₀	—	4	1	no	—
1177	D₂₀	—	4	1	no	—
1178	D₂₀	—	4	1	no	—
1179	C₄×D₅	—	2	1	no	—
1180	C₄×D₅	—	2	1	no	—
1181	C₄×D₅	—	2	1	no	—
1182	C₄×D₅	—	2	1	no	—
1183	C₄×D₅	—	2	1	no	—
1184	C₄×D₅	—	2	1	no	—
1185	C₄×D₅	—	2	1	no	—
1186	C₄×D₅	—	2	1	no	—
1187	C₄×D₅	—	2	1	no	—
1188	C₄×D₅	—	2	1	no	—
1189	C₄×D₅	—	2	1	no	—
1190	C₄×D₅	—	2	1	no	—
1191	C₄×D₅	—	2	1	no	—
1192	C₄×D₅	—	2	1	no	—
1193	C₄×D₅	—	2	1	no	—
1194	C₄×D₅	—	2	1	no	—
1195	C₄×D₅	—	2	1	no	—
1196	C₄×D₅	—	2	1	no	—
1197	C₄×D₅	—	2	1	no	—
1198	C₄×D₅	—	2	1	no	—
1199	C₄×D₅	—	4	1	no	—
1200	C₄×D₅	—	4	1	no	—
1201	C₄×D₅	—	4	1	no	—
1202	C₄×D₅	—	4	1	no	—
1203	C₄×D₅	—	4	1	no	—
1204	C₄×D₅	—	4	1	no	—
1205	C₄×D₅	—	4	1	no	—
1206	C₄×D₅	—	4	1	no	—
1207	Dic₁₀	—	4	1	no	—
1208	Dic₁₀	—	4	1	no	—
1209	Dic₁₀	—	4	1	no	—
1210	C₂⁵	—	5	1	no	—
1211	C₂²×Q₈	—	5	1	no	—
1212	C₂²×D₄	—	5	1	no	—
1213	C₂²×D₄	—	5	1	no	—
1214	C₂²×D₄	—	5	1	no	—
1215	C₂²×D₄	—	5	1	no	—
1216	C₂²×D₄	—	5	1	no	—
1217	C₂²×D₄	—	5	1	no	—
1218	C₂²×D₄	—	5	1	no	—
1219	C₂³×C₄	—	5	1	no	—
1220	C₂³×C₄	—	5	1	no	—
1221	C₂³×C₄	—	5	1	no	—
1222	C₂³×C₄	—	5	1	no	—
1223	C₂³×C₄	—	5	1	no	—
1224	C₂³×C₄	—	5	1	no	—
1225	C₂³×C₄	—	5	1	no	—
1226	C₂³×C₄	—	5	1	no	—
1227	C₂³×C₄	—	5	1	no	—
1228	C₂³×C₄	—	5	1	no	—
1229	C₂³×C₄	—	5	1	no	—
1230	C₂³×C₄	—	5	1	no	—
1231	C₂³×C₄	—	5	1	no	—
1232	C₂³×C₄	—	5	1	no	—
1233	C₂³×C₄	—	5	1	no	—
1234	C₂³×C₄	—	5	1	no	—
1235	C₂³×C₄	—	20	2	no	—
1236	C₂³×C₄	—	20	2	no	—
1237	C₂³×C₄	—	20	2	no	—
1238	#126	—	5	1	no	—
1239	#126	—	5	1	no	—
1240	#126	—	5	1	no	—
1241	#126	—	5	1	no	—
1242	#126	—	5	1	no	—
1243	#126	—	5	1	no	—
1244	#126	—	5	1	no	—
1245	#126	—	5	1	no	—
1246	#126	—	5	1	no	—
1247	#126	—	5	1	no	—
1248	#126	—	5	1	no	—
1249	#126	—	5	1	no	—
1250	#126	—	5	1	no	—
1251	#126	—	5	1	no	—
1252	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1253	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1254	#124	—	5	1	no	—
1255	#124	—	5	1	no	—
1256	#124	—	5	1	no	—
1257	#124	—	5	1	no	—
1258	#124	—	5	1	no	—
1259	#124	—	5	1	no	—
1260	#124	—	5	1	no	—
1261	#124	—	5	1	no	—
1262	#124	—	5	1	no	—
1263	#124	—	5	1	no	—
1264	#124	—	5	1	no	—
1265	#124	—	5	1	no	—
1266	#124	—	5	1	no	—
1267	#124	—	5	1	no	—
1268	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1269	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1270	#123	—	5	1	no	—
1271	#123	—	5	1	no	—
1272	#123	—	5	1	no	—
1273	#123	—	5	1	no	—
1274	#123	—	5	1	no	—
1275	#123	—	5	1	no	—
1276	#123	—	5	1	no	—
1277	#123	—	5	1	no	—
1278	#123	—	5	1	no	—
1279	#123	—	5	1	no	—
1280	#123	—	5	1	no	—
1281	#123	—	5	1	no	—
1282	#123	—	5	1	no	—
1283	#123	—	5	1	no	—
1284	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1285	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1286	C₂²⋊Q₈	—	5	1	no	—
1287	C₂²⋊Q₈	—	5	1	no	—
1288	C₂²⋊Q₈	—	5	1	no	—
1289	C₂²⋊Q₈	—	5	1	no	—
1290	C₂²⋊Q₈	—	5	1	no	—
1291	C₂²⋊Q₈	—	5	1	no	—
1292	C₂²⋊Q₈	—	5	1	no	—
1293	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1294	#121	—	5	1	no	—
1295	#121	—	5	1	no	—
1296	#121	—	5	1	no	—
1297	#121	—	5	1	no	—
1298	#121	—	5	1	no	—
1299	#121	—	5	1	no	—
1300	#121	—	5	1	no	—
1301	#121	—	5	1	no	—
1302	#121	—	5	1	no	—
1303	#121	—	5	1	no	—
1304	#121	—	5	1	no	—
1305	#121	—	5	1	no	—
1306	#121	—	5	1	no	—
1307	#121	—	5	1	no	—
1308	#121	—	5	1	no	—
1309	#121	—	5	1	no	—
1310	#121	—	5	1	no	—
1311	#121	—	5	1	no	—
1312	#121	—	5	1	no	—
1313	#121	—	5	1	no	—
1314	#121	—	5	1	no	—
1315	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1316	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1317	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1318	#120	—	5	1	no	—
1319	#120	—	5	1	no	—
1320	#120	—	5	1	no	—
1321	#120	—	5	1	no	—
1322	#120	—	5	1	no	—
1323	#120	—	5	1	no	—
1324	#120	—	5	1	no	—
1325	#120	—	5	1	no	—
1326	#120	—	5	1	no	—
1327	#120	—	5	1	no	—
1328	#120	—	5	1	no	—
1329	#120	—	5	1	no	—
1330	#120	—	5	1	no	—
1331	#120	—	5	1	no	—
1332	#120	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1333	#120	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1334	C₄×Q₈	—	20	2	no	—
1335	C₄×D₄	—	5	1	no	—
1336	C₄×D₄	—	5	1	no	—
1337	C₄×D₄	—	5	1	no	—
1338	C₄×D₄	—	5	1	no	—
1339	C₄×D₄	—	5	1	no	—
1340	C₄×D₄	—	5	1	no	—
1341	C₄×D₄	—	5	1	no	—
1342	C₄×D₄	—	5	1	no	—
1343	C₄×D₄	—	5	1	no	—
1344	C₄×D₄	—	5	1	no	—
1345	C₄×D₄	—	5	1	no	—
1346	C₄×D₄	—	5	1	no	—
1347	C₄×D₄	—	5	1	no	—
1348	C₄×D₄	—	5	1	no	—
1349	C₄×D₄	—	20	2	no	—
1350	C₄×D₄	—	20	2	no	—
1351	C₄×D₄	—	20	2	no	—
1352	C₄×D₄	—	20	2	no	—
1353	C₄×D₄	—	20	2	no	—
1354	C₄×D₄	—	20	2	no	—
1355	C₄×D₄	—	20	2	no	—
1356	C₄×D₄	—	20	2	no	—
1357	C₄×D₄	—	20	2	no	—
1358	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1359	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1360	#117	—	20	2	no	—
1361	C₂×C₄⋊C₄	—	5	1	no	—
1362	C₂×C₄⋊C₄	—	5	1	no	—
1363	C₂×C₄⋊C₄	—	5	1	no	—
1364	C₂×C₄⋊C₄	—	5	1	no	—
1365	C₂×C₄⋊C₄	—	5	1	no	—
1366	C₂×C₄⋊C₄	—	5	1	no	—
1367	C₂×C₄⋊C₄	—	5	1	no	—
1368	C₂×C₄⋊C₄	—	5	1	no	—
1369	C₂×C₄⋊C₄	—	5	1	no	—
1370	C₂×C₄⋊C₄	—	5	1	no	—
1371	C₂×C₄⋊C₄	—	5	1	no	—
1372	C₂×C₄⋊C₄	—	5	1	no	—
1373	C₂×C₄⋊C₄	—	5	1	no	—
1374	C₂×C₄⋊C₄	—	5	1	no	—
1375	C₂×C₄⋊C₄	—	5	1	no	—
1376	C₂×C₄⋊C₄	—	5	1	no	—
1377	C₂×C₄⋊C₄	—	5	1	no	—
1378	C₂×C₄⋊C₄	—	5	1	no	—
1379	C₂×C₄⋊C₄	—	5	1	no	—
1380	C₂×C₄⋊C₄	—	5	1	no	—
1381	C₂×C₄⋊C₄	—	5	1	no	—
1382	C₂×C₄⋊C₄	—	5	1	no	—
1383	C₂×C₄⋊C₄	—	5	1	no	—
1384	C₂×C₄⋊C₄	—	5	1	no	—
1385	C₂×C₄⋊C₄	—	5	1	no	—
1386	C₂×C₄⋊C₄	—	5	1	no	—
1387	C₂×C₄⋊C₄	—	5	1	no	—
1388	C₂×C₄⋊C₄	—	5	1	no	—
1389	C₂×C₄⋊C₄	—	5	1	no	—
1390	C₂×C₄⋊C₄	—	5	1	no	—
1391	C₂×C₄⋊C₄	—	20	2	no	—
1392	C₂×C₄⋊C₄	—	20	2	no	—
1393	C₂×C₄⋊C₄	—	20	2	no	—
1394	C₂×C₂²⋊C₄	—	5	1	no	—
1395	C₂×C₂²⋊C₄	—	5	1	no	—
1396	C₂×C₂²⋊C₄	—	5	1	no	—
1397	C₂×C₂²⋊C₄	—	5	1	no	—
1398	C₂×C₂²⋊C₄	—	5	1	no	—
1399	C₂×C₂²⋊C₄	—	5	1	no	—
1400	C₂×C₂²⋊C₄	—	5	1	no	—
1401	C₂×C₂²⋊C₄	—	5	1	no	—
1402	C₂×C₂²⋊C₄	—	5	1	no	—
1403	C₂×C₂²⋊C₄	—	5	1	no	—
1404	C₂×C₂²⋊C₄	—	5	1	no	—
1405	C₂×C₂²⋊C₄	—	5	1	no	—
1406	C₂×C₂²⋊C₄	—	5	1	no	—
1407	C₂×C₂²⋊C₄	—	5	1	no	—
1408	C₂×C₂²⋊C₄	—	5	1	no	—
1409	C₂×C₂²⋊C₄	—	5	1	no	—
1410	C₂×C₂²⋊C₄	—	5	1	no	—
1411	C₂×C₂²⋊C₄	—	5	1	no	—
1412	C₂×C₂²⋊C₄	—	5	1	no	—
1413	C₂×C₂²⋊C₄	—	5	1	no	—
1414	C₂×C₂²⋊C₄	—	5	1	no	—
1415	C₂×C₂²⋊C₄	—	5	1	no	—
1416	C₂×C₂²⋊C₄	—	5	1	no	—
1417	C₂×C₂²⋊C₄	—	5	1	no	—
1418	C₂×C₂²⋊C₄	—	5	1	no	—
1419	C₂×C₂²⋊C₄	—	5	1	no	—
1420	C₂×C₂²⋊C₄	—	5	1	no	—
1421	C₂×C₂²⋊C₄	—	5	1	no	—
1422	C₂×C₂²⋊C₄	—	5	1	no	—
1423	C₂×C₂²⋊C₄	—	5	1	no	—
1424	C₂×C₂²⋊C₄	—	5	1	no	—
1425	C₂×C₂²⋊C₄	—	5	1	no	—
1426	C₂×C₂²⋊C₄	—	5	1	no	—
1427	C₂×C₂²⋊C₄	—	5	1	no	—
1428	C₂×C₂²⋊C₄	—	5	1	no	—
1429	C₂×C₂²⋊C₄	—	5	1	no	—
1430	C₂×C₂²⋊C₄	—	5	1	no	—
1431	C₂×C₂²⋊C₄	—	5	1	no	—
1432	C₂×C₂²⋊C₄	—	5	1	no	—
1433	C₂×C₂²⋊C₄	—	5	1	no	—
1434	C₂×C₂²⋊C₄	—	5	1	no	—
1435	C₂×C₂²⋊C₄	—	5	1	no	—
1436	C₂×C₂²⋊C₄	—	5	1	no	—
1437	C₂×C₂²⋊C₄	—	5	1	no	—
1438	C₂×C₂²⋊C₄	—	5	1	no	—
1439	C₂×C₂²⋊C₄	—	5	1	no	—
1440	C₂×C₂²⋊C₄	—	5	1	no	—
1441	C₂×C₂²⋊C₄	—	5	1	no	—
1442	C₂×C₂²⋊C₄	—	5	1	no	—
1443	C₂×C₂²⋊C₄	—	20	2	no	—
1444	C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1445	C₂×C₄²	—	5	1	no	—
1446	C₂×C₄²	—	5	1	no	—
1447	C₂×C₄²	—	5	1	no	—
1448	C₂×C₄²	—	5	1	no	—
1449	C₂×C₄²	—	5	1	no	—
1450	C₂×C₄²	—	5	1	no	—
1451	C₂×C₄²	—	5	1	no	—
1452	C₂×C₄²	—	5	1	no	—
1453	C₂×C₄²	—	5	1	no	—
1454	C₂×C₄²	—	5	1	no	—
1455	C₂×C₄²	—	5	1	no	—
1456	C₂×C₄²	—	5	1	no	—
1457	C₂×C₄²	—	5	1	no	—
1458	C₂×C₄²	—	5	1	no	—
1459	C₂×C₄²	—	5	1	no	—
1460	C₂×C₄²	—	5	1	no	—
1461	C₂×C₄²	—	5	1	no	—
1462	C₂×C₄²	—	5	1	no	—
1463	#95	—	5	1	no	—
1464	#95	—	5	1	no	—
1465	#95	—	5	1	no	—
1466	#95	—	5	1	no	—
1467	#95	—	5	1	no	—
1468	#95	—	5	1	no	—
1469	#95	—	5	1	no	—
1470	#95	—	5	1	no	—
1471	#95	—	5	1	no	—
1472	#95	—	5	1	no	—
1473	#95	—	5	1	no	—
1474	#95	—	5	1	no	—
1475	#95	—	5	1	no	—
1476	#95	—	5	1	no	—
1477	#95	—	5	1	no	—
1478	#95	—	5	1	no	—
1479	#95	—	5	1	no	—
1480	#95	—	5	1	no	—
1481	#95	—	5	1	no	—
1482	#95	—	5	1	no	—
1483	#95	—	5	1	no	—
1484	#95	—	5	1	no	—
1485	#95	—	5	1	no	—
1486	#95	—	5	1	no	—
1487	#95	—	5	1	no	—
1488	#95	—	5	1	no	—
1489	#95	—	5	1	no	—
1490	#95	—	5	1	no	—
1491	#95	—	5	1	no	—
1492	#95	—	5	1	no	—
1493	#95	—	5	1	no	—
1494	#95	—	5	1	no	—
1495	#95	—	5	1	no	—
1496	#95	—	5	1	no	—
1497	#95	—	5	1	no	—
1498	#95	—	5	1	no	—
1499	#95	—	5	1	no	—
1500	#95	—	5	1	no	—
1501	#95	—	5	1	no	—
1502	#95	—	5	1	no	—
1503	C₂²×C₅	—	2	1	no	—
1504	C₂²×C₅	—	2	1	no	—
1505	C₂²×C₅	—	2	1	no	—
1506	C₂²×C₅	—	2	1	no	—
1507	C₂²×C₅	—	2	1	no	—
1508	C₂²×C₅	—	2	1	no	—
1509	C₂²×C₅	—	2	1	no	—
1510	C₂²×C₅	—	2	1	no	—
1511	C₂²×C₅	—	2	1	no	—
1512	C₂²×C₅	—	2	1	no	—
1513	C₂²×C₅	—	2	1	no	—
1514	C₂²×C₅	—	2	1	no	—
1515	C₂²×C₅	—	2	1	no	—
1516	C₂²×C₅	—	2	1	no	—
1517	C₂²×C₅	—	4	4	no	—
1518	C₂²×C₅	#520	1	2	yes	—
1519	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1520	C₂×D₅	—	2	1	no	—
1521	C₂×D₅	—	2	1	no	—
1522	C₂×D₅	—	2	2	no	—
1523	C₂×D₅	—	2	2	no	—
1524	C₂×D₅	—	2	2	no	—
1525	C₂×D₅	—	2	2	no	—
1526	C₂×D₅	—	2	1	no	—
1527	C₂×D₅	—	2	1	no	—
1528	C₂×D₅	—	2	1	no	—
1529	C₂×D₅	—	2	1	no	—
1530	C₂×D₅	—	2	1	no	—
1531	C₂×D₅	—	2	1	no	—
1532	C₂×D₅	—	2	1	no	—
1533	C₂×D₅	—	2	1	no	—
1534	C₂×D₅	—	2	1	no	—
1535	C₂×D₅	—	2	1	no	—
1536	C₂×D₅	—	2	1	no	—
1537	C₂×D₅	—	2	1	no	—
1538	C₂×D₅	—	4	4	no	—
1539	C₂×D₅	—	4	4	no	—
1540	C₂×D₅	—	4	4	no	—
1541	C₂×D₅	—	4	1	no	—
1542	C₂×D₅	—	4	1	no	—
1543	C₂×D₅	—	4	1	no	—
1544	C₂×D₅	—	4	1	no	—
1545	C₂×D₅	—	4	1	no	—
1546	C₂×D₅	—	4	1	no	—
1547	C₂×D₅	—	4	1	no	—
1548	C₂×D₅	—	4	1	no	—
1549	C₂×D₅	—	4	1	no	—
1550	C₂×D₅	—	4	1	no	—
1551	C₂×D₅	—	4	1	no	—
1552	C₂×D₅	—	4	1	no	—
1553	C₂×D₅	—	4	1	no	—
1554	C₂×D₅	—	4	1	no	—
1555	C₂×D₅	—	4	1	no	—
1556	C₂×D₅	—	4	1	no	—
1557	C₂×D₅	#520	1	2	yes	—
1558	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1559	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1560	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1561	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1562	C₂×D₅	#585	1	1	yes	characteristic
1563	C₂×D₅	#585	1	1	yes	characteristic
1564	AGL(1,𝔽₅)	—	2	2	no	—
1565	AGL(1,𝔽₅)	—	2	2	no	—
1566	AGL(1,𝔽₅)	—	4	1	no	—
1567	AGL(1,𝔽₅)	—	4	1	no	—
1568	AGL(1,𝔽₅)	—	4	1	no	—
1569	AGL(1,𝔽₅)	—	4	1	no	—
1570	AGL(1,𝔽₅)	—	4	1	no	—
1571	AGL(1,𝔽₅)	—	4	1	no	—
1572	AGL(1,𝔽₅)	—	4	1	no	—
1573	AGL(1,𝔽₅)	—	4	1	no	—
1574	AGL(1,𝔽₅)	—	4	1	no	—
1575	AGL(1,𝔽₅)	—	4	1	no	—
1576	AGL(1,𝔽₅)	—	4	1	no	—
1577	AGL(1,𝔽₅)	—	4	1	no	—
1578	AGL(1,𝔽₅)	—	4	1	no	—
1579	AGL(1,𝔽₅)	—	4	1	no	—
1580	C₄×C₅	—	2	1	no	—
1581	C₄×C₅	—	2	1	no	—
1582	C₄×C₅	—	2	1	no	—
1583	C₄×C₅	—	2	1	no	—
1584	C₄×C₅	—	2	1	no	—
1585	C₄×C₅	—	2	1	no	—
1586	C₄×C₅	—	2	1	no	—
1587	C₄×C₅	—	2	1	no	—
1588	C₄×C₅	—	2	1	no	—
1589	C₄×C₅	—	2	1	no	—
1590	Dic₅	—	2	1	no	—
1591	Dic₅	—	2	1	no	—
1592	Dic₅	—	2	1	no	—
1593	Dic₅	—	2	1	no	—
1594	Dic₅	—	2	1	no	—
1595	Dic₅	—	2	1	no	—
1596	Dic₅	—	2	1	no	—
1597	Dic₅	—	2	1	no	—
1598	Dic₅	—	2	1	no	—
1599	Dic₅	—	2	1	no	—
1600	C₂⁴	—	5	1	no	—
1601	C₂⁴	—	5	1	no	—
1602	C₂⁴	—	5	1	no	—
1603	C₂⁴	—	5	1	no	—
1604	C₂⁴	—	5	1	no	—
1605	C₂⁴	—	5	1	no	—
1606	C₂⁴	—	5	1	no	—
1607	C₂⁴	—	5	1	no	—
1608	C₂⁴	—	10	2	no	—
1609	C₂⁴	—	10	2	no	—
1610	C₂⁴	—	20	1	no	—
1611	C₂⁴	—	20	1	no	—
1612	C₂⁴	—	20	1	no	—
1613	C₂⁴	—	20	1	no	—
1614	C₂⁴	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1615	C₂×Q₈	—	5	1	no	—
1616	C₂×Q₈	—	5	1	no	—
1617	C₂×Q₈	—	5	1	no	—
1618	C₂×Q₈	—	20	1	no	—
1619	C₂×Q₈	—	20	1	no	—
1620	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1621	C₂×D₄	—	5	1	no	—
1622	C₂×D₄	—	5	1	no	—
1623	C₂×D₄	—	5	1	no	—
1624	C₂×D₄	—	5	1	no	—
1625	C₂×D₄	—	5	1	no	—
1626	C₂×D₄	—	5	1	no	—
1627	C₂×D₄	—	5	1	no	—
1628	C₂×D₄	—	5	1	no	—
1629	C₂×D₄	—	5	1	no	—
1630	C₂×D₄	—	5	1	no	—
1631	C₂×D₄	—	5	1	no	—
1632	C₂×D₄	—	5	1	no	—
1633	C₂×D₄	—	5	1	no	—
1634	C₂×D₄	—	5	1	no	—
1635	C₂×D₄	—	5	1	no	—
1636	C₂×D₄	—	5	1	no	—
1637	C₂×D₄	—	5	1	no	—
1638	C₂×D₄	—	5	1	no	—
1639	C₂×D₄	—	5	1	no	—
1640	C₂×D₄	—	5	1	no	—
1641	C₂×D₄	—	5	1	no	—
1642	C₂×D₄	—	10	2	no	—
1643	C₂×D₄	—	10	2	no	—
1644	C₂×D₄	—	10	2	no	—
1645	C₂×D₄	—	10	2	no	—
1646	C₂×D₄	—	20	1	no	—
1647	C₂×D₄	—	20	1	no	—
1648	C₂×D₄	—	20	1	no	—
1649	C₂×D₄	—	20	1	no	—
1650	C₂×D₄	—	20	1	no	—
1651	C₂×D₄	—	20	1	no	—
1652	C₂×D₄	—	20	1	no	—
1653	C₂×D₄	—	20	1	no	—
1654	C₂×D₄	—	20	1	no	—
1655	C₂×D₄	—	20	1	no	—
1656	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1657	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1658	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1659	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1660	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1661	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1662	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1663	C₂²×C₄	—	5	1	no	—
1664	C₂²×C₄	—	5	1	no	—
1665	C₂²×C₄	—	5	1	no	—
1666	C₂²×C₄	—	5	1	no	—
1667	C₂²×C₄	—	5	1	no	—
1668	C₂²×C₄	—	5	1	no	—
1669	C₂²×C₄	—	5	1	no	—
1670	C₂²×C₄	—	5	1	no	—
1671	C₂²×C₄	—	5	1	no	—
1672	C₂²×C₄	—	5	1	no	—
1673	C₂²×C₄	—	5	1	no	—
1674	C₂²×C₄	—	5	1	no	—
1675	C₂²×C₄	—	5	1	no	—
1676	C₂²×C₄	—	5	1	no	—
1677	C₂²×C₄	—	5	1	no	—
1678	C₂²×C₄	—	5	1	no	—
1679	C₂²×C₄	—	5	1	no	—
1680	C₂²×C₄	—	5	1	no	—
1681	C₂²×C₄	—	5	1	no	—
1682	C₂²×C₄	—	5	1	no	—
1683	C₂²×C₄	—	5	1	no	—
1684	C₂²×C₄	—	5	1	no	—
1685	C₂²×C₄	—	5	1	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	—	10	2	no	—
1702	C₂²×C₄	—	10	2	no	—
1703	C₂²×C₄	—	10	2	no	—
1704	C₂²×C₄	—	10	2	no	—
1705	C₂²×C₄	—	10	2	no	—
1706	C₂²×C₄	—	10	2	no	—
1707	C₂²×C₄	—	10	2	no	—
1708	C₂²×C₄	—	10	2	no	—
1709	C₂²×C₄	—	10	2	no	—
1710	C₂²×C₄	—	10	2	no	—
1711	C₂²×C₄	—	10	2	no	—
1712	C₂²×C₄	—	10	2	no	—
1713	C₂²×C₄	—	20	1	no	—
1714	C₂²×C₄	—	20	1	no	—
1715	C₂²×C₄	—	20	1	no	—
1716	C₂²×C₄	—	20	1	no	—
1717	C₂²×C₄	—	20	1	no	—
1718	C₂²×C₄	—	20	1	no	—
1719	C₂²×C₄	—	20	1	no	—
1720	C₂²×C₄	—	20	1	no	—
1721	C₂²×C₄	—	20	1	no	—
1722	C₂²×C₄	—	20	1	no	—
1723	C₂²×C₄	—	20	1	no	—
1724	C₂²×C₄	—	20	1	no	—
1725	C₂²×C₄	—	20	1	no	—
1726	C₂²×C₄	—	20	1	no	—
1727	C₂²×C₄	—	20	1	no	—
1728	C₂²×C₄	—	20	1	no	—
1729	C₂²×C₄	—	20	1	no	—
1730	C₂²×C₄	—	20	1	no	—
1731	C₂²×C₄	—	20	1	no	—
1732	C₂²×C₄	—	20	1	no	—
1733	C₂²×C₄	—	20	1	no	—
1734	C₂²×C₄	—	20	1	no	—
1735	C₂²×C₄	—	20	1	no	—
1736	C₂²×C₄	—	20	1	no	—
1737	C₂²×C₄	—	20	1	no	—
1738	C₂²×C₄	—	20	1	no	—
1739	C₂²×C₄	—	20	1	no	—
1740	C₂²×C₄	—	20	1	no	—
1741	C₂²×C₄	—	20	1	no	—
1742	C₂²×C₄	—	20	1	no	—
1743	C₂²×C₄	—	20	1	no	—
1744	C₂²×C₄	—	20	1	no	—
1745	C₂²×C₄	—	20	16	no	—
1746	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1747	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1748	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1749	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1750	C₄⋊C₄	—	5	1	no	—
1751	C₄⋊C₄	—	5	1	no	—
1752	C₄⋊C₄	—	5	1	no	—
1753	C₄⋊C₄	—	5	1	no	—
1754	C₄⋊C₄	—	5	1	no	—
1755	C₄⋊C₄	—	5	1	no	—
1756	C₄⋊C₄	—	5	1	no	—
1757	C₄⋊C₄	—	5	1	no	—
1758	C₄⋊C₄	—	5	1	no	—
1759	C₄⋊C₄	—	5	1	no	—
1760	C₄⋊C₄	—	5	1	no	—
1761	C₄⋊C₄	—	5	1	no	—
1762	C₄⋊C₄	—	5	1	no	—
1763	C₄⋊C₄	—	5	1	no	—
1764	C₄⋊C₄	—	5	1	no	—
1765	C₄⋊C₄	—	5	1	no	—
1766	C₄⋊C₄	—	5	1	no	—
1767	C₄⋊C₄	—	5	1	no	—
1768	C₄⋊C₄	—	10	2	no	—
1769	C₄⋊C₄	—	10	2	no	—
1770	C₄⋊C₄	—	10	2	no	—
1771	C₄⋊C₄	—	10	2	no	—
1772	C₄⋊C₄	—	10	2	no	—
1773	C₄⋊C₄	—	10	2	no	—
1774	C₄⋊C₄	—	20	1	no	—
1775	C₄⋊C₄	—	20	1	no	—
1776	C₄⋊C₄	—	20	1	no	—
1777	C₄⋊C₄	—	20	1	no	—
1778	C₄⋊C₄	—	20	1	no	—
1779	C₄⋊C₄	—	20	1	no	—
1780	C₄⋊C₄	—	20	1	no	—
1781	C₄⋊C₄	—	20	1	no	—
1782	C₄⋊C₄	—	20	1	no	—
1783	C₄⋊C₄	—	20	1	no	—
1784	C₄⋊C₄	—	20	1	no	—
1785	C₄⋊C₄	—	20	1	no	—
1786	C₄⋊C₄	—	20	1	no	—
1787	C₄⋊C₄	—	20	1	no	—
1788	C₄⋊C₄	—	20	1	no	—
1789	C₄⋊C₄	—	20	1	no	—
1790	C₄⋊C₄	—	20	1	no	—
1791	C₄⋊C₄	—	20	1	no	—
1792	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1793	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1794	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1795	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1796	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1797	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1798	C₂²⋊C₄	—	5	1	no	—
1799	C₂²⋊C₄	—	5	1	no	—
1800	C₂²⋊C₄	—	5	1	no	—
1801	C₂²⋊C₄	—	5	1	no	—
1802	C₂²⋊C₄	—	5	1	no	—
1803	C₂²⋊C₄	—	5	1	no	—
1804	C₂²⋊C₄	—	5	1	no	—
1805	C₂²⋊C₄	—	5	1	no	—
1806	C₂²⋊C₄	—	5	1	no	—
1807	C₂²⋊C₄	—	5	1	no	—
1808	C₂²⋊C₄	—	5	1	no	—
1809	C₂²⋊C₄	—	5	1	no	—
1810	C₂²⋊C₄	—	5	1	no	—
1811	C₂²⋊C₄	—	5	1	no	—
1812	C₂²⋊C₄	—	5	1	no	—
1813	C₂²⋊C₄	—	5	1	no	—
1814	C₂²⋊C₄	—	5	1	no	—
1815	C₂²⋊C₄	—	5	1	no	—
1816	C₂²⋊C₄	—	5	1	no	—
1817	C₂²⋊C₄	—	5	1	no	—
1818	C₂²⋊C₄	—	5	1	no	—
1819	C₂²⋊C₄	—	5	1	no	—
1820	C₂²⋊C₄	—	5	1	no	—
1821	C₂²⋊C₄	—	5	1	no	—
1822	C₂²⋊C₄	—	5	1	no	—
1823	C₂²⋊C₄	—	5	1	no	—
1824	C₂²⋊C₄	—	5	1	no	—
1825	C₂²⋊C₄	—	5	1	no	—
1826	C₂²⋊C₄	—	5	1	no	—
1827	C₂²⋊C₄	—	5	1	no	—
1828	C₂²⋊C₄	—	5	1	no	—
1829	C₂²⋊C₄	—	5	1	no	—
1830	C₂²⋊C₄	—	5	1	no	—
1831	C₂²⋊C₄	—	5	1	no	—
1832	C₂²⋊C₄	—	5	1	no	—
1833	C₂²⋊C₄	—	5	1	no	—
1834	C₂²⋊C₄	—	5	1	no	—
1835	C₂²⋊C₄	—	5	1	no	—
1836	C₂²⋊C₄	—	5	1	no	—
1837	C₂²⋊C₄	—	5	1	no	—
1838	C₂²⋊C₄	—	5	1	no	—
1839	C₂²⋊C₄	—	5	1	no	—
1840	C₂²⋊C₄	—	10	2	no	—
1841	C₂²⋊C₄	—	10	2	no	—
1842	C₂²⋊C₄	—	10	2	no	—
1843	C₂²⋊C₄	—	10	2	no	—
1844	C₂²⋊C₄	—	10	2	no	—
1845	C₂²⋊C₄	—	10	2	no	—
1846	C₂²⋊C₄	—	20	1	no	—
1847	C₂²⋊C₄	—	20	1	no	—
1848	C₂²⋊C₄	—	20	1	no	—
1849	C₂²⋊C₄	—	20	1	no	—
1850	C₂²⋊C₄	—	20	1	no	—
1851	C₂²⋊C₄	—	20	1	no	—
1852	C₂²⋊C₄	—	20	1	no	—
1853	C₂²⋊C₄	—	20	1	no	—
1854	C₂²⋊C₄	—	20	1	no	—
1855	C₂²⋊C₄	—	20	1	no	—
1856	C₂²⋊C₄	—	20	1	no	—
1857	C₂²⋊C₄	—	20	1	no	—
1858	C₂²⋊C₄	—	20	1	no	—
1859	C₂²⋊C₄	—	20	1	no	—
1860	C₂²⋊C₄	—	20	1	no	—
1861	C₂²⋊C₄	—	20	1	no	—
1862	C₂²⋊C₄	—	20	1	no	—
1863	C₂²⋊C₄	—	20	1	no	—
1864	C₂²⋊C₄	—	20	1	no	—
1865	C₂²⋊C₄	—	20	1	no	—
1866	C₂²⋊C₄	—	20	1	no	—
1867	C₂²⋊C₄	—	20	1	no	—
1868	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1869	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1870	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1871	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1872	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1873	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1874	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1875	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1876	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1877	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1878	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1879	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1880	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1881	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1882	C₄²	—	5	1	no	—
1883	C₄²	—	5	1	no	—
1884	C₄²	—	5	1	no	—
1885	C₄²	—	5	1	no	—
1886	C₄²	—	5	1	no	—
1887	C₄²	—	5	1	no	—
1888	C₄²	—	10	2	no	—
1889	C₄²	—	10	2	no	—
1890	C₄²	—	20	1	no	—
1891	C₄²	—	20	1	no	—
1892	C₄²	—	20	1	no	—
1893	C₄²	—	20	1	no	—
1894	C₄²	—	20	1	no	—
1895	C₄²	—	20	1	no	—
1896	C₄²	—	20	1	no	—
1897	C₄²	—	20	1	no	—
1898	C₄²	—	20	1	no	—
1899	C₄²	—	20	1	no	—
1900	C₄²	—	20	1	no	—
1901	C₄²	—	20	1	no	—
1902	C₄²	—	20	1	no	—
1903	C₄²	—	20	1	no	—
1904	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1905	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1906	C₂×C₅	—	2	2	no	—
1907	C₂×C₅	—	4	1	no	—
1908	C₂×C₅	—	4	1	no	—
1909	C₂×C₅	—	4	1	no	—
1910	C₂×C₅	—	4	1	no	—
1911	C₂×C₅	C₂×#520	1	1	yes	characteristic
1912	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1913	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1914	D₅	—	2	2	no	—
1915	D₅	—	4	1	no	—
1916	D₅	—	4	1	no	—
1917	D₅	—	4	1	no	—
1918	D₅	—	4	1	no	—
1919	D₅	#3532	1	1	yes	characteristic
1920	D₅	#3533	1	1	yes	characteristic
1921	D₅	#3541	1	1	yes	characteristic
1922	D₅	#3541	1	1	yes	characteristic
1923	C₂³	—	2	2	no	—
1924	C₂³	—	4	1	no	—
1925	C₂³	—	4	1	no	—
1926	C₂³	—	5	1	no	—
1927	C₂³	—	5	2	no	—
1928	C₂³	—	5	2	no	—
1929	C₂³	—	5	1	no	—
1930	C₂³	—	5	1	no	—
1931	C₂³	—	5	1	no	—
1932	C₂³	—	5	1	no	—
1933	C₂³	—	5	1	no	—
1934	C₂³	—	10	1	no	—
1935	C₂³	—	10	1	no	—
1936	C₂³	—	10	1	no	—
1937	C₂³	—	10	1	no	—
1938	C₂³	—	10	1	no	—
1939	C₂³	—	10	1	no	—
1940	C₂³	—	10	1	no	—
1941	C₂³	—	10	1	no	—
1942	C₂³	—	10	1	no	—
1943	C₂³	—	10	1	no	—
1944	C₂³	—	10	1	no	—
1945	C₂³	—	10	1	no	—
1946	C₂³	—	10	1	no	—
1947	C₂³	—	10	1	no	—
1948	C₂³	—	10	1	no	—
1949	C₂³	—	10	1	no	—
1950	C₂³	—	10	1	no	—
1951	C₂³	—	10	1	no	—
1952	C₂³	—	10	1	no	—
1953	C₂³	—	10	1	no	—
1954	C₂³	—	10	1	no	—
1955	C₂³	—	10	1	no	—
1956	C₂³	—	10	1	no	—
1957	C₂³	—	10	1	no	—
1958	C₂³	—	10	1	no	—
1959	C₂³	—	10	1	no	—
1960	C₂³	—	10	1	no	—
1961	C₂³	—	10	1	no	—
1962	C₂³	—	10	2	no	—
1963	C₂³	—	10	2	no	—
1964	C₂³	—	10	2	no	—
1965	C₂³	—	20	1	no	—
1966	C₂³	—	20	1	no	—
1967	C₂³	—	20	1	no	—
1968	C₂³	—	20	1	no	—
1969	C₂³	—	20	1	no	—
1970	C₂³	—	20	1	no	—
1971	C₂³	—	20	4	no	—
1972	C₂³	—	20	4	no	—
1973	C₂³	—	20	4	no	—
1974	C₂³	—	20	4	no	—
1975	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1976	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1977	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1978	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1979	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1980	Q₈	—	4	1	no	—
1981	Q₈	—	20	1	no	—
1982	Q₈	—	20	1	no	—
1983	Q₈	—	20	1	no	—
1984	D₄	—	2	2	no	—
1985	D₄	—	2	2	no	—
1986	D₄	—	4	1	no	—
1987	D₄	—	4	1	no	—
1988	D₄	—	4	1	no	—
1989	D₄	—	4	1	no	—
1990	D₄	—	4	1	no	—
1991	D₄	—	10	2	no	—
1992	D₄	—	10	2	no	—
1993	D₄	—	10	2	no	—
1994	D₄	—	10	2	no	—
1995	D₄	—	10	2	no	—
1996	D₄	—	10	2	no	—
1997	D₄	—	20	1	no	—
1998	D₄	—	20	1	no	—
1999	D₄	—	20	1	no	—
2000	D₄	—	20	1	no	—
2001	D₄	—	20	1	no	—
2002	D₄	—	20	1	no	—
2003	D₄	—	20	1	no	—
2004	D₄	—	20	1	no	—
2005	D₄	—	20	1	no	—
2006	D₄	—	20	1	no	—
2007	D₄	—	20	1	no	—
2008	D₄	—	20	1	no	—
2009	D₄	—	20	1	no	—
2010	D₄	—	20	1	no	—
2011	D₄	—	20	1	no	—
2012	C₂×C₄	—	4	1	no	—
2013	C₂×C₄	—	4	1	no	—
2014	C₂×C₄	—	4	1	no	—
2015	C₂×C₄	—	4	1	no	—
2016	C₂×C₄	—	5	2	no	—
2017	C₂×C₄	—	5	2	no	—
2018	C₂×C₄	—	5	1	no	—
2019	C₂×C₄	—	5	1	no	—
2020	C₂×C₄	—	5	1	no	—
2021	C₂×C₄	—	5	1	no	—
2022	C₂×C₄	—	5	1	no	—
2023	C₂×C₄	—	5	1	no	—
2024	C₂×C₄	—	5	1	no	—
2025	C₂×C₄	—	5	1	no	—
2026	C₂×C₄	—	5	1	no	—
2027	C₂×C₄	—	5	1	no	—
2028	C₂×C₄	—	10	1	no	—
2029	C₂×C₄	—	10	1	no	—
2030	C₂×C₄	—	10	1	no	—
2031	C₂×C₄	—	10	1	no	—
2032	C₂×C₄	—	10	1	no	—
2033	C₂×C₄	—	10	1	no	—
2034	C₂×C₄	—	10	1	no	—
2035	C₂×C₄	—	10	1	no	—
2036	C₂×C₄	—	10	1	no	—
2037	C₂×C₄	—	10	1	no	—
2038	C₂×C₄	—	10	1	no	—
2039	C₂×C₄	—	10	1	no	—
2040	C₂×C₄	—	10	1	no	—
2041	C₂×C₄	—	10	1	no	—
2042	C₂×C₄	—	10	1	no	—
2043	C₂×C₄	—	10	1	no	—
2044	C₂×C₄	—	10	1	no	—
2045	C₂×C₄	—	10	1	no	—
2046	C₂×C₄	—	10	1	no	—
2047	C₂×C₄	—	10	1	no	—
2048	C₂×C₄	—	10	1	no	—
2049	C₂×C₄	—	10	1	no	—
2050	C₂×C₄	—	10	1	no	—
2051	C₂×C₄	—	10	1	no	—
2052	C₂×C₄	—	10	1	no	—
2053	C₂×C₄	—	10	1	no	—
2054	C₂×C₄	—	10	1	no	—
2055	C₂×C₄	—	10	1	no	—
2056	C₂×C₄	—	10	1	no	—
2057	C₂×C₄	—	10	1	no	—
2058	C₂×C₄	—	10	1	no	—
2059	C₂×C₄	—	10	1	no	—
2060	C₂×C₄	—	10	1	no	—
2061	C₂×C₄	—	10	1	no	—
2062	C₂×C₄	—	10	1	no	—
2063	C₂×C₄	—	10	1	no	—
2064	C₂×C₄	—	10	1	no	—
2065	C₂×C₄	—	10	1	no	—
2066	C₂×C₄	—	10	1	no	—
2067	C₂×C₄	—	10	1	no	—
2068	C₂×C₄	—	10	1	no	—
2069	C₂×C₄	—	10	1	no	—
2070	C₂×C₄	—	10	1	no	—
2071	C₂×C₄	—	10	1	no	—
2072	C₂×C₄	—	10	1	no	—
2073	C₂×C₄	—	10	1	no	—
2074	C₂×C₄	—	10	1	no	—
2075	C₂×C₄	—	10	1	no	—
2076	C₂×C₄	—	10	1	no	—
2077	C₂×C₄	—	10	1	no	—
2078	C₂×C₄	—	10	1	no	—
2079	C₂×C₄	—	10	1	no	—
2080	C₂×C₄	—	10	1	no	—
2081	C₂×C₄	—	10	1	no	—
2082	C₂×C₄	—	10	1	no	—
2083	C₂×C₄	—	10	1	no	—
2084	C₂×C₄	—	10	1	no	—
2085	C₂×C₄	—	10	1	no	—
2086	C₂×C₄	—	10	1	no	—
2087	C₂×C₄	—	10	1	no	—
2088	C₂×C₄	—	10	1	no	—
2089	C₂×C₄	—	10	1	no	—
2090	C₂×C₄	—	10	1	no	—
2091	C₂×C₄	—	10	1	no	—
2092	C₂×C₄	—	10	1	no	—
2093	C₂×C₄	—	10	1	no	—
2094	C₂×C₄	—	20	1	no	—
2095	C₂×C₄	—	20	1	no	—
2096	C₂×C₄	—	20	1	no	—
2097	C₂×C₄	—	20	1	no	—
2098	C₂×C₄	—	20	1	no	—
2099	C₂×C₄	—	20	1	no	—
2100	C₂×C₄	—	20	1	no	—
2101	C₂×C₄	—	20	1	no	—
2102	C₂×C₄	—	20	1	no	—
2103	C₂×C₄	—	20	1	no	—
2104	C₂×C₄	—	20	1	no	—
2105	C₂×C₄	—	20	1	no	—
2106	C₂×C₄	—	20	4	no	—
2107	C₂×C₄	—	20	4	no	—
2108	C₂×C₄	—	20	4	no	—
2109	C₂×C₄	—	20	4	no	—
2110	C₂×C₄	—	20	4	no	—
2111	C₂×C₄	—	20	4	no	—
2112	C₂×C₄	—	40	2	no	—
2113	C₂×C₄	—	40	2	no	—
2114	C₂×C₄	—	40	2	no	—
2115	C₂×C₄	—	40	2	no	—
2116	C₂×C₄	—	40	2	no	—
2117	C₂×C₄	—	40	2	no	—
2118	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2119	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2120	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2121	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2122	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2123	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2124	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2125	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2126	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2127	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2128	C₅	#34416	1	1	yes	characteristic, complemented, Sylow
2129	C₂²	—	2	1	no	—
2130	C₂²	—	2	1	no	—
2131	C₂²	—	2	1	no	—
2132	C₂²	—	2	1	no	—
2133	C₂²	—	2	1	no	—
2134	C₂²	—	2	1	no	—
2135	C₂²	—	2	1	no	—
2136	C₂²	—	2	1	no	—
2137	C₂²	—	2	1	no	—
2138	C₂²	—	2	1	no	—
2139	C₂²	—	2	1	no	—
2140	C₂²	—	2	1	no	—
2141	C₂²	—	2	1	no	—
2142	C₂²	—	2	1	no	—
2143	C₂²	—	4	4	no	—
2144	C₂²	—	5	1	no	—
2145	C₂²	—	5	1	no	—
2146	C₂²	—	5	1	no	—
2147	C₂²	—	5	1	no	—
2148	C₂²	—	5	1	no	—
2149	C₂²	—	5	1	no	—
2150	C₂²	—	5	2	no	—
2151	C₂²	—	10	2	no	—
2152	C₂²	—	10	2	no	—
2153	C₂²	—	10	2	no	—
2154	C₂²	—	10	2	no	—
2155	C₂²	—	10	1	no	—
2156	C₂²	—	10	1	no	—
2157	C₂²	—	10	1	no	—
2158	C₂²	—	10	1	no	—
2159	C₂²	—	10	1	no	—
2160	C₂²	—	10	1	no	—
2161	C₂²	—	10	1	no	—
2162	C₂²	—	10	1	no	—
2163	C₂²	—	10	1	no	—
2164	C₂²	—	10	1	no	—
2165	C₂²	—	10	1	no	—
2166	C₂²	—	10	1	no	—
2167	C₂²	—	10	1	no	—
2168	C₂²	—	10	1	no	—
2169	C₂²	—	20	4	no	—
2170	C₂²	—	20	1	no	—
2171	C₂²	—	20	1	no	—
2172	C₂²	—	20	1	no	—
2173	C₂²	—	20	1	no	—
2174	C₂²	—	20	1	no	—
2175	C₂²	—	20	1	no	—
2176	C₂²	—	20	1	no	—
2177	C₂²	—	20	1	no	—
2178	C₂²	—	20	1	no	—
2179	C₂²	—	20	1	no	—
2180	C₂²	—	20	1	no	—
2181	C₂²	—	20	1	no	—
2182	C₂²	—	20	1	no	—
2183	C₂²	—	20	1	no	—
2184	C₂²	—	20	1	no	—
2185	C₂²	—	20	1	no	—
2186	C₂²	—	20	4	no	—
2187	C₂²	—	20	4	no	—
2188	C₂²	#66266	1	2	yes	—
2189	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
2190	C₄	—	2	1	no	—
2191	C₄	—	2	1	no	—
2192	C₄	—	2	1	no	—
2193	C₄	—	2	1	no	—
2194	C₄	—	2	1	no	—
2195	C₄	—	2	1	no	—
2196	C₄	—	2	1	no	—
2197	C₄	—	2	1	no	—
2198	C₄	—	2	1	no	—
2199	C₄	—	2	1	no	—
2200	C₄	—	10	2	no	—
2201	C₄	—	10	2	no	—
2202	C₄	—	10	1	no	—
2203	C₄	—	10	1	no	—
2204	C₄	—	10	1	no	—
2205	C₄	—	10	1	no	—
2206	C₄	—	10	1	no	—
2207	C₄	—	10	1	no	—
2208	C₄	—	10	1	no	—
2209	C₄	—	10	1	no	—
2210	C₄	—	10	1	no	—
2211	C₄	—	10	1	no	—
2212	C₄	—	20	1	no	—
2213	C₄	—	20	1	no	—
2214	C₄	—	20	1	no	—
2215	C₄	—	20	1	no	—
2216	C₄	—	20	1	no	—
2217	C₄	—	20	1	no	—
2218	C₄	—	20	1	no	—
2219	C₄	—	20	1	no	—
2220	C₄	—	20	1	no	—
2221	C₄	—	20	1	no	—
2222	C₄	—	20	1	no	—
2223	C₄	—	20	1	no	—
2224	C₄	—	20	1	no	—
2225	C₄	—	20	1	no	—
2226	C₂	—	2	2	no	—
2227	C₂	—	4	1	no	—
2228	C₂	—	4	1	no	—
2229	C₂	—	4	1	no	—
2230	C₂	—	4	1	no	—
2231	C₂	—	5	1	no	—
2232	C₂	—	5	1	no	—
2233	C₂	—	5	1	no	—
2234	C₂	—	5	1	no	—
2235	C₂	—	10	2	no	—
2236	C₂	—	20	1	no	—
2237	C₂	—	20	1	no	—
2238	C₂	—	20	1	no	—
2239	C₂	—	20	1	no	—
2240	C₂	C₂×#66266	1	1	yes	characteristic
2241	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic
2242	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×AGL(1,𝔽₅)
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#538	C₄
prime radical	D₅×#538	C₂
cosocle	C₂²×D₅	C₂⁵
hypercenter	#538	AGL(1,𝔽₅)
hypocenter	C₅	#34416
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
2. #10617360	C₂	semidirect
3. #10617359	C₂	semidirect
4. #10617358	C₂	semidirect
5. #10617358	C₂	semidirect
6. #10617328	C₂	semidirect
7. #10617326	C₂	semidirect
8. #10617325	C₂	semidirect
9. #10617324	C₂	semidirect
10. #10617308	C₂	semidirect
11. #10617306	C₂	semidirect
12. #10617305	C₂	semidirect
13. #10617304	C₂	semidirect
14. #10617287	C₂	semidirect
15. #10617285	C₂	semidirect
16. #10617256	C₂	semidirect
17. #10617255	C₂	semidirect
18. #10617253	C₂	semidirect
19. #10617253	C₂	semidirect
20. #10617251	C₂	semidirect
21. #10617250	C₂	semidirect
22. #10617222	C₂	semidirect
23. #10617222	C₂	semidirect
24. AGL(1,𝔽₅)×#120	C₂	semidirect
25. AGL(1,𝔽₅)×#120	C₂	semidirect
26. #10617180	C₂	semidirect
27. #10617179	C₂	semidirect
28. #10617178	C₂	semidirect
29. D₄×C₄⋊AGL(1,𝔽₅)	C₂	semidirect
30. #10617070	C₂	semidirect
31. C₂×#65699	C₂	semidirect
34. C₂×Q₈×AGL(1,𝔽₅)	C₂²	semidirect
43. C₂×D₄×AGL(1,𝔽₅)	C₂²	semidirect
44. C₂×#4130	C₂²	semidirect
47. C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	semidirect
48. C₅×#538	C₄	semidirect
49. #66038	C₄	semidirect
50. #66038	C₄	semidirect
53. #66012	C₄	semidirect
54. #66012	C₄	semidirect
57. #65991	C₄	semidirect
58. #65991	C₄	semidirect
61. #65978	C₄	semidirect
63. #65951	C₄	semidirect
64. #65947	C₄	semidirect
65. #65947	C₄	semidirect
69. #65927	C₄	semidirect
70. #65927	C₄	semidirect
73. #65894	C₄	semidirect
74. #65894	C₄	semidirect
77. #65828	C₄	semidirect
81. (C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	semidirect
82. (C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	semidirect
83. (C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	semidirect
88. #65780	C₂²	semidirect
101. #65779	C₂²	semidirect
102. #65779	C₂²	semidirect
105. #65765	C₂²	semidirect
106. #65765	C₂²	semidirect
107. #65765	C₂²	semidirect
108. #65764	C₂²	semidirect
111. C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	semidirect
114. C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	semidirect
115. #65712	C₂²	semidirect
116. #65712	C₂²	semidirect
117. #65712	C₂²	semidirect
118. #65712	C₂²	semidirect
119. #65712	C₂²	semidirect
120. #65712	C₂²	semidirect
121. #65712	C₂²	semidirect
122. #65712	C₂²	semidirect
123. #65711	C₂²	semidirect
124. #65711	C₂²	semidirect
125. #65711	C₂²	semidirect
126. #65711	C₂²	semidirect
127. #65711	C₂²	semidirect
128. #65711	C₂²	semidirect
129. #65711	C₂²	semidirect
130. #65711	C₂²	semidirect
131. #65711	C₂²	semidirect
132. #65711	C₂²	semidirect
133. #65711	C₂²	semidirect
134. #65711	C₂²	semidirect
135. C₄⋊C₄×AGL(1,𝔽₅)	C₂²	semidirect
136. C₄⋊C₄×AGL(1,𝔽₅)	C₂²	semidirect
137. C₄⋊C₄×AGL(1,𝔽₅)	C₂²	semidirect
138. C₄⋊C₄×AGL(1,𝔽₅)	C₂²	semidirect
155. #65700	C₂²	semidirect
156. #65700	C₂²	semidirect
157. #65700	C₂²	semidirect
158. #65700	C₂²	semidirect
159. #65700	C₂²	semidirect
160. #65700	C₂²	semidirect
161. #65700	C₂²	semidirect
162. #65700	C₂²	semidirect
179. #65699	C₂²	semidirect
180. #65699	C₂²	semidirect
181. #65699	C₂²	semidirect
182. #65699	C₂²	semidirect
183. #65699	C₂²	semidirect
184. #65699	C₂²	semidirect
193. C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	semidirect
194. C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	semidirect
195. #65690	C₂²	semidirect
196. #65689	C₂²	semidirect
197. #65689	C₂²	semidirect
198. #65688	C₂²	semidirect
199. C₄×C₄⋊AGL(1,𝔽₅)	C₂²	semidirect
200. C₄×C₄⋊AGL(1,𝔽₅)	C₂²	semidirect
201. C₄×C₄⋊AGL(1,𝔽₅)	C₂²	semidirect
202. #65686	C₂²	semidirect
315. C₅×#126	C₂×C₄	semidirect
316. C₅×#126	C₂×C₄	semidirect
317. C₅×#124	C₂×C₄	semidirect
318. C₅×#124	C₂×C₄	semidirect
319. C₅×#123	C₂×C₄	semidirect
320. C₅×#123	C₂×C₄	semidirect
321. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
322. C₅×#121	C₂×C₄	semidirect
323. C₅×#121	C₂×C₄	semidirect
324. C₅×#121	C₂×C₄	semidirect
325. C₅×#120	C₂×C₄	semidirect
326. C₅×#120	C₂×C₄	semidirect
327. C₄×C₅×D₄	C₂×C₄	semidirect
328. C₄×C₅×D₄	C₂×C₄	semidirect
329. C₂×C₅×C₂²⋊C₄	C₂×C₄	semidirect
330. #4099	C₂×C₄	semidirect
331. #4099	C₂×C₄	semidirect
332. C₂×C₂²⋊Dic₅	C₂×C₄	semidirect
333. #4093	C₂×C₄	semidirect
334. #4093	C₂×C₄	semidirect
335. #4092	C₂×C₄	semidirect
336. #4085	C₂×C₄	semidirect
337. #4085	C₂×C₄	semidirect
338. #4085	C₂×C₄	semidirect
339. #4085	C₂×C₄	semidirect
340. #4085	C₂×C₄	semidirect
341. #4085	C₂×C₄	semidirect
342. #4084	C₂×C₄	semidirect
343. #4084	C₂×C₄	semidirect
344. #4084	C₂×C₄	semidirect
345. #4083	C₂×C₄	semidirect
346. #4083	C₂×C₄	semidirect
347. #4083	C₂×C₄	semidirect
348. #4083	C₂×C₄	semidirect
349. #4083	C₂×C₄	semidirect
350. #4083	C₂×C₄	semidirect
351. #4082	C₂×C₄	semidirect
352. #4082	C₂×C₄	semidirect
353. #4081	C₂×C₄	semidirect
354. #4081	C₂×C₄	semidirect
355. D₄×Dic₅	C₂×C₄	semidirect
356. D₄×Dic₅	C₂×C₄	semidirect
357. #4076	C₂×C₄	semidirect
358. #4076	C₂×C₄	semidirect
359. #4076	C₂×C₄	semidirect
360. #4075	C₂×C₄	semidirect
361. #4075	C₂×C₄	semidirect
362. C₄×C₂²⋊D₅	C₂×C₄	semidirect
363. C₄×C₂²⋊D₅	C₂×C₄	semidirect
364. C₄×C₂²⋊D₅	C₂×C₄	semidirect
365. C₄×C₂²⋊D₅	C₂×C₄	semidirect
366. C₂×#685	C₂×C₄	semidirect
367. C₂×#685	C₂×C₄	semidirect
368. #4070	C₂×C₄	semidirect
369. #4044	C₂×C₄	semidirect
370. #4044	C₂×C₄	semidirect
371. #4044	C₂×C₄	semidirect
372. #4044	C₂×C₄	semidirect
373. #4044	C₂×C₄	semidirect
374. #4044	C₂×C₄	semidirect
375. #4043	C₂×C₄	semidirect
376. #4042	C₂×C₄	semidirect
377. #4042	C₂×C₄	semidirect
378. #4041	C₂×C₄	semidirect
379. #4041	C₂×C₄	semidirect
380. #4041	C₂×C₄	semidirect
381. #4040	C₂×C₄	semidirect
382. #4040	C₂×C₄	semidirect
383. #4040	C₂×C₄	semidirect
384. #4040	C₂×C₄	semidirect
385. #4039	C₂×C₄	semidirect
386. #4039	C₂×C₄	semidirect
393. #4032	C₂×C₄	semidirect
394. #4032	C₂×C₄	semidirect
395. #4031	C₂×C₄	semidirect
396. #4031	C₂×C₄	semidirect
397. #4031	C₂×C₄	semidirect
398. #4031	C₂×C₄	semidirect
399. #4031	C₂×C₄	semidirect
400. #4031	C₂×C₄	semidirect
401. #4031	C₂×C₄	semidirect
402. #4031	C₂×C₄	semidirect
403. #4030	C₂×C₄	semidirect
404. #4030	C₂×C₄	semidirect
405. #4030	C₂×C₄	semidirect
406. #4030	C₂×C₄	semidirect
407. #4030	C₂×C₄	semidirect
408. #4030	C₂×C₄	semidirect
409. #4029	C₂×C₄	semidirect
410. #4029	C₂×C₄	semidirect
411. #4029	C₂×C₄	semidirect
412. #4029	C₂×C₄	semidirect
413. #4028	C₂×C₄	semidirect
414. #4028	C₂×C₄	semidirect
415. #4028	C₂×C₄	semidirect
416. #4028	C₂×C₄	semidirect
417. #4028	C₂×C₄	semidirect
418. #4028	C₂×C₄	semidirect
419. #4027	C₂×C₄	semidirect
420. #4027	C₂×C₄	semidirect
421. #4027	C₂×C₄	semidirect
422. #4027	C₂×C₄	semidirect
423. D₅×C₂²⋊C₄	C₂×C₄	semidirect
424. D₅×C₂²⋊C₄	C₂×C₄	semidirect
425. D₅×C₂²⋊C₄	C₂×C₄	semidirect
426. D₅×C₂²⋊C₄	C₂×C₄	semidirect
441. #4025	C₂×C₄	semidirect
442. #4025	C₂×C₄	semidirect
443. #4025	C₂×C₄	semidirect
444. #4025	C₂×C₄	semidirect
445. #4025	C₂×C₄	semidirect
446. #4025	C₂×C₄	semidirect
447. #4024	C₂×C₄	semidirect
448. #4024	C₂×C₄	semidirect
449. #4022	C₂×C₄	semidirect
450. #4022	C₂×C₄	semidirect
451. #4021	C₂×C₄	semidirect
452. #4021	C₂×C₄	semidirect
453. C₄×D₂₀	C₂×C₄	semidirect
454. C₄×D₂₀	C₂×C₄	semidirect
596. C₂×C₅×Q₈	C₂²×C₄	semidirect
603. C₂×C₅×D₄	C₂²×C₄	semidirect
606. C₂²×C₄×C₅	C₂²×C₄	semidirect
607. C₂²×C₄×C₅	C₂²×C₄	semidirect
620. C₂×C₂²⋊D₅	C₂²×C₄	semidirect
621. C₂×C₂²⋊D₅	C₂²×C₄	semidirect
624. C₂²×Dic₅	C₂²×C₄	semidirect
625. C₂²×Dic₅	C₂²×C₄	semidirect
648. C₂×D₂₀	C₂²×C₄	semidirect
661. C₂×C₄×D₅	C₂²×C₄	semidirect
662. C₂×C₄×D₅	C₂²×C₄	semidirect
663. C₂×C₄×D₅	C₂²×C₄	semidirect
664. C₂×C₄×D₅	C₂²×C₄	semidirect
675. C₂×Dic₁₀	C₂²×C₄	semidirect
676. C₂×Dic₁₀	C₂²×C₄	semidirect
677. C₂×Dic₁₀	C₂²×C₄	semidirect
746. C₅×C₄⋊C₄	C₂²×C₄	semidirect
747. C₅×C₄⋊C₄	C₂²×C₄	semidirect
748. C₅×C₄⋊C₄	C₂²×C₄	semidirect
749. C₅×C₄⋊C₄	C₂²×C₄	semidirect
750. C₅×C₄⋊C₄	C₂²×C₄	semidirect
751. C₅×C₄⋊C₄	C₂²×C₄	semidirect
762. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
763. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
764. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
765. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
766. C₄²×C₅	C₂²×C₄	semidirect
767. C₄²×C₅	C₂²×C₄	semidirect
778. C₂²⋊Dic₅	C₂²×C₄	semidirect
779. C₂²⋊Dic₅	C₂²×C₄	semidirect
780. C₂²⋊Dic₅	C₂²×C₄	semidirect
781. C₂²⋊Dic₅	C₂²×C₄	semidirect
802. #685	C₂²×C₄	semidirect
803. #685	C₂²×C₄	semidirect
804. #685	C₂²×C₄	semidirect
805. #685	C₂²×C₄	semidirect
806. #685	C₂²×C₄	semidirect
807. #685	C₂²×C₄	semidirect
808. #685	C₂²×C₄	semidirect
809. #685	C₂²×C₄	semidirect
810. C₄⋊Dic₅	C₂²×C₄	semidirect
811. C₄⋊Dic₅	C₂²×C₄	semidirect
812. C₄⋊Dic₅	C₂²×C₄	semidirect
813. C₄⋊Dic₅	C₂²×C₄	semidirect
814. C₄⋊Dic₅	C₂²×C₄	semidirect
815. C₄⋊Dic₅	C₂²×C₄	semidirect
816. #683	C₂²×C₄	semidirect
817. #683	C₂²×C₄	semidirect
818. #683	C₂²×C₄	semidirect
819. #683	C₂²×C₄	semidirect
820. #683	C₂²×C₄	semidirect
821. #683	C₂²×C₄	semidirect
822. #683	C₂²×C₄	semidirect
823. #683	C₂²×C₄	semidirect
824. #683	C₂²×C₄	semidirect
825. #683	C₂²×C₄	semidirect
826. #683	C₂²×C₄	semidirect
827. #683	C₂²×C₄	semidirect
828. C₄×Dic₅	C₂²×C₄	semidirect
829. C₄×Dic₅	C₂²×C₄	semidirect
830. C₄×Dic₅	C₂²×C₄	semidirect
831. C₄×Dic₅	C₂²×C₄	semidirect
832. C₄×Dic₅	C₂²×C₄	semidirect
833. C₄×Dic₅	C₂²×C₄	semidirect
850. #538	AGL(1,𝔽₅)	semidirect
1252. #126	C₂×AGL(1,𝔽₅)	semidirect
1253. #126	C₂×AGL(1,𝔽₅)	semidirect
1268. #124	C₂×AGL(1,𝔽₅)	semidirect
1269. #124	C₂×AGL(1,𝔽₅)	semidirect
1284. #123	C₂×AGL(1,𝔽₅)	semidirect
1285. #123	C₂×AGL(1,𝔽₅)	semidirect
1293. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1315. #121	C₂×AGL(1,𝔽₅)	semidirect
1316. #121	C₂×AGL(1,𝔽₅)	semidirect
1317. #121	C₂×AGL(1,𝔽₅)	semidirect
1332. #120	C₂×AGL(1,𝔽₅)	semidirect
1333. #120	C₂×AGL(1,𝔽₅)	semidirect
1358. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1359. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1444. C₂×C₂²⋊C₄	C₂×AGL(1,𝔽₅)	semidirect
1620. C₂×Q₈	C₂²×AGL(1,𝔽₅)	semidirect
1662. C₂×D₄	C₂²×AGL(1,𝔽₅)	semidirect
1748. C₂²×C₄	C₂²×AGL(1,𝔽₅)	semidirect
1749. C₂²×C₄	C₂²×AGL(1,𝔽₅)	semidirect
1792. C₄⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1793. C₄⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1794. C₄⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1795. C₄⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1796. C₄⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1797. C₄⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1878. C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1879. C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1880. C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1881. C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	semidirect
1904. C₄²	C₂²×AGL(1,𝔽₅)	semidirect
1905. C₄²	C₂²×AGL(1,𝔽₅)	semidirect
2128. C₅	#34416	semidirect

Maximal subgroups

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

subgroup	index
D₅×#538	2
#10617360	2
#10617359	2
#10617358	2
#10617328	2
#10617326	2
#10617325	2
#10617324	2
#10617308	2
#10617306	2
#10617305	2
#10617304	2
#10617287	2
#10617285	2
#10617256	2
#10617255	2
#10617253	2
#10617251	2
#10617250	2
#10617222	2
AGL(1,𝔽₅)×#120	2
#10617180	2
#10617179	2
#10617178	2
D₄×C₄⋊AGL(1,𝔽₅)	2
#10617070	2
C₂×#65699	2
#34416	5