Subgroups — #13044296

Order 1280.

2074 conjugacy classes of subgroups.

The subgroup lattice has 2014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#542	C₂	1	1	yes	maximal, characteristic
2	#10617390	C₂	1	1	yes	maximal, characteristic, complemented
3	#10617388	C₂	1	1	yes	maximal, characteristic, complemented
4	#10617359	C₂	1	1	yes	maximal, characteristic, complemented
5	#10617359	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617358	C₂	1	1	yes	maximal, characteristic, complemented
7	AGL(1,𝔽₅)×#126	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617327	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617326	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617325	C₂	1	1	yes	maximal, characteristic, complemented
11	#10617325	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617325	C₂	1	1	yes	maximal, characteristic, complemented
13	AGL(1,𝔽₅)×#124	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617308	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617306	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617304	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617288	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617285	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617284	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617283	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617283	C₂	1	1	yes	maximal, characteristic, complemented
23	#10617282	C₂	1	1	yes	maximal, characteristic, complemented
24	#10617256	C₂	1	1	yes	maximal, characteristic
25	#10617255	C₂	1	1	yes	maximal, characteristic
26	#10617210	C₂	1	1	yes	maximal, characteristic, complemented
27	#10617209	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617180	C₂	1	1	yes	maximal, characteristic, complemented
29	#10617179	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617134	C₂	1	1	yes	maximal, characteristic, complemented
31	#10617132	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×Q₈×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
33	C₂×Q₈×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
34	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
35	C₂×D₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
36	C₂×#4130	C₂²	1	1	yes	characteristic
37	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
38	C₅×#542	C₄	1	1	yes	characteristic, complemented
39	#66067	C₄	1	1	yes	characteristic, complemented
40	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	#66044	C₄	1	1	yes	characteristic, complemented
42	#66044	C₄	1	1	yes	characteristic, complemented
43	D₅×#126	C₂²	1	1	yes	characteristic
44	D₅×#126	C₂²	1	1	yes	characteristic
45	#66016	C₄	1	1	yes	characteristic, complemented
46	D₅×#124	C₂²	1	1	yes	characteristic
47	D₅×#124	C₂²	1	1	yes	characteristic
48	D₅×#124	C₂²	1	1	yes	characteristic
49	#66003	C₄	1	1	yes	characteristic, complemented
50	#66003	C₄	1	1	yes	characteristic, complemented
51	#65996	C₄	1	1	yes	characteristic, complemented
52	#65996	C₄	1	1	yes	characteristic, complemented
53	D₅×#123	C₂²	1	1	yes	characteristic
54	D₅×#123	C₂²	1	1	yes	characteristic
55	#65977	C₄	1	1	yes	characteristic, complemented
56	#65974	C₄	1	1	yes	characteristic, complemented
57	#65974	C₄	1	1	yes	characteristic, complemented
58	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	D₅×#121	C₂²	1	1	yes	characteristic
62	#65937	C₄	1	1	yes	characteristic, complemented
63	#65916	C₄	1	1	yes	characteristic, complemented
64	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
65	#65895	C₄	1	1	yes	characteristic, complemented
66	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
67	#65868	C₄	1	1	yes	characteristic, complemented
68	D₅×#117	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	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
74	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
75	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
76	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
77	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
78	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
79	#65780	C₂²	1	1	yes	characteristic
80	#65780	C₂²	1	1	yes	characteristic
81	#65779	C₂²	1	1	yes	characteristic
82	#65779	C₂²	1	1	yes	characteristic
83	#65779	C₂²	1	1	yes	characteristic
84	#65779	C₂²	1	1	yes	characteristic
85	#65779	C₂²	1	1	yes	characteristic
86	#65779	C₂²	1	1	yes	characteristic
87	#65779	C₂²	1	1	yes	characteristic
88	#65779	C₂²	1	1	yes	characteristic
89	#65765	C₂²	1	1	yes	characteristic
90	#65765	C₂²	1	1	yes	characteristic
91	#65765	C₂²	1	1	yes	characteristic
92	#65765	C₂²	1	1	yes	characteristic
93	#65764	C₂²	1	1	yes	characteristic
94	#65764	C₂²	1	1	yes	characteristic
95	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
96	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
97	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
98	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
99	#65712	C₂²	1	1	yes	characteristic
100	#65712	C₂²	1	1	yes	characteristic
101	#65712	C₂²	1	1	yes	characteristic
102	#65712	C₂²	1	1	yes	characteristic
103	#65712	C₂²	1	1	yes	characteristic
104	#65712	C₂²	1	1	yes	characteristic
105	#65712	C₂²	1	1	yes	characteristic
106	#65712	C₂²	1	1	yes	characteristic
107	#65712	C₂²	1	1	yes	characteristic
108	#65712	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	#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
156	#65700	C₂²	1	1	yes	characteristic
157	#65700	C₂²	1	1	yes	characteristic
158	#65700	C₂²	1	1	yes	characteristic
159	#65700	C₂²	1	1	yes	characteristic
160	#65700	C₂²	1	1	yes	characteristic
161	#65700	C₂²	1	1	yes	characteristic
162	#65700	C₂²	1	1	yes	characteristic
163	#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	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	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
184	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
185	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
186	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
187	#65690	C₂²	1	1	yes	characteristic
188	#65690	C₂²	1	1	yes	characteristic
189	#65690	C₂²	1	1	yes	characteristic
190	#65690	C₂²	1	1	yes	characteristic
191	#65689	C₂²	1	1	yes	characteristic
192	#65689	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	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
196	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
197	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
198	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
199	#65686	C₂²	1	1	yes	characteristic
200	#65686	C₂²	1	1	yes	characteristic
201	#65686	C₂²	1	1	yes	characteristic
202	C₄²×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
203	#34453	—	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×Q₈×D₅	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
237	Q₈×AGL(1,𝔽₅)	—	4	2	no	—
238	Q₈×AGL(1,𝔽₅)	—	4	2	no	—
239	D₄×AGL(1,𝔽₅)	—	4	2	no	—
240	D₄×AGL(1,𝔽₅)	—	4	2	no	—
241	#4130	—	4	2	no	—
242	C₂×C₄⋊AGL(1,𝔽₅)	—	4	2	no	—
243	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
265	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
266	C₂×C₄×AGL(1,𝔽₅)	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	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	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
288	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
289	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
290	C₅×#124	C₂×C₄	1	1	yes	characteristic, complemented
291	C₅×#124	C₂×C₄	1	1	yes	characteristic, complemented
292	C₅×#124	C₂×C₄	1	1	yes	characteristic, complemented
293	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
294	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
295	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
296	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
297	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
298	C₅×#121	C₂×C₄	1	1	yes	characteristic
299	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
300	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic, complemented
301	C₅×#117	C₂×C₄	1	1	yes	characteristic, complemented
302	#4093	C₂×C₄	1	1	yes	characteristic, complemented
303	#4093	C₂×C₄	1	1	yes	characteristic, complemented
304	#4093	C₂×C₄	1	1	yes	characteristic, complemented
305	#4092	C₂×C₄	1	1	yes	characteristic, complemented
306	#4092	C₂×C₄	1	1	yes	characteristic, complemented
307	#4092	C₂×C₄	1	1	yes	characteristic, complemented
308	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
309	#4090	C₂×C₄	1	1	yes	characteristic, complemented
310	#4090	C₂×C₄	1	1	yes	characteristic, complemented
311	#4085	C₂×C₄	1	1	yes	characteristic
312	#4085	C₂×C₄	1	1	yes	characteristic
313	#4084	C₂×C₄	1	1	yes	characteristic
314	#4082	C₂×C₄	1	1	yes	characteristic, complemented
315	#4082	C₂×C₄	1	1	yes	characteristic, complemented
316	#4082	C₂×C₄	1	1	yes	characteristic, complemented
317	#4081	C₂×C₄	1	1	yes	characteristic, complemented
318	#4081	C₂×C₄	1	1	yes	characteristic, complemented
319	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
320	#4076	C₂×C₄	1	1	yes	characteristic
321	#4075	C₂×C₄	1	1	yes	characteristic, complemented
322	#4075	C₂×C₄	1	1	yes	characteristic, complemented
323	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
324	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic, complemented
325	#4072	C₂×C₄	1	1	yes	characteristic, complemented
326	#4070	C₂×C₄	1	1	yes	characteristic, complemented
327	#4070	C₂×C₄	1	1	yes	characteristic, complemented
328	#4070	C₂×C₄	1	1	yes	characteristic, complemented
329	#4044	C₂×C₄	1	1	yes	characteristic, complemented
330	#4044	C₂×C₄	1	1	yes	characteristic, complemented
331	#4044	C₂×C₄	1	1	yes	characteristic, complemented
332	#4044	C₂×C₄	1	1	yes	characteristic, complemented
333	#4044	C₂×C₄	1	1	yes	characteristic, complemented
334	#4044	C₂×C₄	1	1	yes	characteristic, complemented
335	#4043	C₂×C₄	1	1	yes	characteristic, complemented
336	#4043	C₂×C₄	1	1	yes	characteristic, complemented
337	#4043	C₂×C₄	1	1	yes	characteristic, complemented
338	#4042	C₂×C₄	1	1	yes	characteristic, complemented
339	#4042	C₂×C₄	1	1	yes	characteristic, complemented
340	#4042	C₂×C₄	1	1	yes	characteristic, complemented
341	#4042	C₂×C₄	1	1	yes	characteristic, complemented
342	#4042	C₂×C₄	1	1	yes	characteristic, complemented
343	#4042	C₂×C₄	1	1	yes	characteristic, complemented
344	#4041	C₂×C₄	1	1	yes	characteristic
345	#4040	C₂×C₄	1	1	yes	characteristic, complemented
346	#4040	C₂×C₄	1	1	yes	characteristic, complemented
347	#4040	C₂×C₄	1	1	yes	characteristic, complemented
348	#4040	C₂×C₄	1	1	yes	characteristic, complemented
349	#4039	C₂×C₄	1	1	yes	characteristic, complemented
350	#4038	C₂×C₄	1	1	yes	characteristic, complemented
351	#4038	C₂×C₄	1	1	yes	characteristic, complemented
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	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
357	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
358	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
359	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
360	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
361	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
362	#4034	C₂×C₄	1	1	yes	characteristic, complemented
363	#4034	C₂×C₄	1	1	yes	characteristic, complemented
364	#4034	C₂×C₄	1	1	yes	characteristic, complemented
365	#4034	C₂×C₄	1	1	yes	characteristic, complemented
366	#4033	C₂×C₄	1	1	yes	characteristic, complemented
367	#4033	C₂×C₄	1	1	yes	characteristic, complemented
368	#4033	C₂×C₄	1	1	yes	characteristic, complemented
369	#4032	C₂×C₄	1	1	yes	characteristic, complemented
370	#4032	C₂×C₄	1	1	yes	characteristic, complemented
371	#4031	C₂×C₄	1	1	yes	characteristic, complemented
372	#4031	C₂×C₄	1	1	yes	characteristic, complemented
373	#4031	C₂×C₄	1	1	yes	characteristic, complemented
374	#4031	C₂×C₄	1	1	yes	characteristic, complemented
375	#4031	C₂×C₄	1	1	yes	characteristic, complemented
376	#4031	C₂×C₄	1	1	yes	characteristic, complemented
377	#4031	C₂×C₄	1	1	yes	characteristic, complemented
378	#4031	C₂×C₄	1	1	yes	characteristic, complemented
379	#4031	C₂×C₄	1	1	yes	characteristic, complemented
380	#4031	C₂×C₄	1	1	yes	characteristic, complemented
381	#4031	C₂×C₄	1	1	yes	characteristic, complemented
382	#4031	C₂×C₄	1	1	yes	characteristic, complemented
383	#4030	C₂×C₄	1	1	yes	characteristic
384	#4030	C₂×C₄	1	1	yes	characteristic
385	#4029	C₂×C₄	1	1	yes	characteristic, complemented
386	#4029	C₂×C₄	1	1	yes	characteristic, complemented
387	#4029	C₂×C₄	1	1	yes	characteristic, complemented
388	#4029	C₂×C₄	1	1	yes	characteristic, complemented
389	#4027	C₂×C₄	1	1	yes	characteristic, complemented
390	#4027	C₂×C₄	1	1	yes	characteristic, complemented
391	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
392	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
393	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
394	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
395	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
396	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
397	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
398	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
399	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
400	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
401	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
402	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
403	#4025	C₂×C₄	1	1	yes	characteristic, complemented
404	#4025	C₂×C₄	1	1	yes	characteristic, complemented
405	#4025	C₂×C₄	1	1	yes	characteristic, complemented
406	#4025	C₂×C₄	1	1	yes	characteristic, complemented
407	#4025	C₂×C₄	1	1	yes	characteristic, complemented
408	#4025	C₂×C₄	1	1	yes	characteristic, complemented
409	#4024	C₂×C₄	1	1	yes	characteristic, complemented
410	#4024	C₂×C₄	1	1	yes	characteristic, complemented
411	#4024	C₂×C₄	1	1	yes	characteristic, complemented
412	#4024	C₂×C₄	1	1	yes	characteristic, complemented
413	#4024	C₂×C₄	1	1	yes	characteristic, complemented
414	#4024	C₂×C₄	1	1	yes	characteristic, complemented
415	#4023	C₂×C₄	1	1	yes	characteristic, complemented
416	#4023	C₂×C₄	1	1	yes	characteristic, complemented
417	#4022	C₂×C₄	1	1	yes	characteristic, complemented
418	#4022	C₂×C₄	1	1	yes	characteristic, complemented
419	#4021	C₂×C₄	1	1	yes	characteristic, complemented
420	#4021	C₂×C₄	1	1	yes	characteristic, complemented
421	#4021	C₂×C₄	1	1	yes	characteristic, complemented
422	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic, complemented
423	#4018	C₂×C₄	1	1	yes	characteristic, complemented
424	#4018	C₂×C₄	1	1	yes	characteristic, complemented
425	C₄²×D₅	C₂³	1	1	yes	characteristic
426	C₄²×D₅	C₂³	1	1	yes	characteristic
427	C₄²×D₅	C₂³	1	1	yes	characteristic
428	C₄²×D₅	C₂³	1	1	yes	characteristic
429	#4015	C₂×C₄	1	1	yes	characteristic, complemented
430	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
431	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
432	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
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×#542	—	5	1	no	—
486	#2381	—	5	1	no	—
487	#2378	—	5	1	no	—
488	#2377	—	5	1	no	—
489	#2376	—	5	1	no	—
490	#2373	—	5	1	no	—
491	#2373	—	5	1	no	—
492	#2372	—	5	1	no	—
493	#2367	—	5	1	no	—
494	#2365	—	5	1	no	—
495	#2364	—	5	1	no	—
496	#2360	—	5	1	no	—
497	#2359	—	5	1	no	—
498	#2353	—	5	1	no	—
499	#2352	—	5	1	no	—
500	#2347	—	5	1	no	—
501	#2343	—	5	1	no	—
502	#2337	—	5	1	no	—
503	#2337	—	5	1	no	—
504	#2337	—	5	1	no	—
505	#2335	—	5	1	no	—
506	#2334	—	5	1	no	—
507	#2332	—	5	1	no	—
508	#2329	—	5	1	no	—
509	#2329	—	5	1	no	—
510	#2323	—	5	1	no	—
511	#2322	—	5	1	no	—
512	#2320	—	5	1	no	—
513	C₄×#126	—	5	1	no	—
514	C₄×#124	—	5	1	no	—
515	#2295	—	5	1	no	—
516	C₂³×D₅	C₂⁴	1	1	yes	characteristic
517	C₂³×D₅	C₂⁴	1	1	yes	characteristic
518	C₂³×D₅	C₂⁴	1	1	yes	characteristic
519	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
520	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
521	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
522	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
523	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
524	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
525	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
526	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
527	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
528	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
529	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
530	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
531	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
532	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
533	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
534	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
535	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
536	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
537	C₂²×AGL(1,𝔽₅)	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	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
553	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
559	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
560	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
561	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
568	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
569	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
570	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
571	Q₈×D₅	—	4	1	no	—
572	Q₈×D₅	—	4	1	no	—
573	Q₈×D₅	—	4	1	no	—
574	Q₈×D₅	—	4	1	no	—
575	Q₈×D₅	—	4	1	no	—
576	Q₈×D₅	—	4	1	no	—
577	D₄×D₅	—	4	1	no	—
578	D₄×D₅	—	4	1	no	—
579	D₄×D₅	—	4	1	no	—
580	D₄×D₅	—	4	1	no	—
581	D₄×D₅	—	4	1	no	—
582	D₄×D₅	—	4	1	no	—
583	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
584	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
585	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄×D₅	—	4	1	no	—
587	C₂×C₄×D₅	—	4	1	no	—
588	C₂×C₄×D₅	—	4	1	no	—
589	C₂×C₄×D₅	—	4	1	no	—
590	C₂×C₄×D₅	—	4	1	no	—
591	C₂×C₄×D₅	—	4	1	no	—
592	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
610	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
611	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
612	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
613	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
614	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
615	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
616	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
617	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
618	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
620	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
621	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
622	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
623	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
624	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
625	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
626	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
627	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
628	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
629	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
630	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
631	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
632	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
633	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
634	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
635	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
636	C₂²⋊AGL(1,𝔽₅)	—	4	1	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)	—	4	1	no	—
643	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
644	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
645	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
646	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
647	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
648	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
649	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
650	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
651	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
652	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
653	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
654	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
655	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
656	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
657	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
658	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
659	C₄×AGL(1,𝔽₅)	—	2	2	no	—
660	C₄×AGL(1,𝔽₅)	—	2	2	no	—
661	C₄×AGL(1,𝔽₅)	—	2	2	no	—
662	C₄×AGL(1,𝔽₅)	—	4	1	no	—
663	C₄×AGL(1,𝔽₅)	—	4	1	no	—
664	C₄×AGL(1,𝔽₅)	—	4	1	no	—
665	C₄×AGL(1,𝔽₅)	—	4	1	no	—
666	C₄×AGL(1,𝔽₅)	—	4	1	no	—
667	C₄×AGL(1,𝔽₅)	—	4	1	no	—
668	C₄×AGL(1,𝔽₅)	—	4	1	no	—
669	C₄×AGL(1,𝔽₅)	—	4	1	no	—
670	C₄×AGL(1,𝔽₅)	—	4	1	no	—
671	C₄×AGL(1,𝔽₅)	—	4	1	no	—
672	C₄×AGL(1,𝔽₅)	—	4	1	no	—
673	C₄×AGL(1,𝔽₅)	—	4	1	no	—
674	C₄×AGL(1,𝔽₅)	—	4	1	no	—
675	C₄×AGL(1,𝔽₅)	—	4	1	no	—
676	C₄×AGL(1,𝔽₅)	—	4	1	no	—
677	C₄×AGL(1,𝔽₅)	—	4	1	no	—
678	C₄×AGL(1,𝔽₅)	—	4	1	no	—
679	C₄×AGL(1,𝔽₅)	—	4	1	no	—
680	C₄×AGL(1,𝔽₅)	—	4	1	no	—
681	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
704	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
705	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
706	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
707	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
708	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
709	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
710	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
711	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
712	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
713	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
714	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
715	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
716	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
717	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
718	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
719	#685	C₂²×C₄	1	1	yes	characteristic
720	#685	C₂²×C₄	1	1	yes	characteristic
721	#685	C₂²×C₄	1	1	yes	characteristic
722	#685	C₂²×C₄	1	1	yes	characteristic
723	#685	C₂²×C₄	1	1	yes	characteristic
724	#685	C₂²×C₄	1	1	yes	characteristic
725	#685	C₂²×C₄	1	1	yes	characteristic
726	#685	C₂²×C₄	1	1	yes	characteristic
727	#685	C₂²×C₄	1	1	yes	characteristic
728	#685	C₂²×C₄	1	1	yes	characteristic
729	#685	C₂²×C₄	1	1	yes	characteristic
730	#685	C₂²×C₄	1	1	yes	characteristic
731	#685	C₂²×C₄	1	1	yes	characteristic
732	#685	C₂²×C₄	1	1	yes	characteristic
733	#685	C₂²×C₄	1	1	yes	characteristic
734	#685	C₂²×C₄	1	1	yes	characteristic
735	#685	C₂²×C₄	1	1	yes	characteristic
736	#685	C₂²×C₄	1	1	yes	characteristic
737	#685	C₂²×C₄	1	1	yes	characteristic
738	#685	C₂²×C₄	1	1	yes	characteristic
739	#685	C₂²×C₄	1	1	yes	characteristic
740	#685	C₂²×C₄	1	1	yes	characteristic
741	#685	C₂²×C₄	1	1	yes	characteristic
742	#685	C₂²×C₄	1	1	yes	characteristic
743	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
744	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
745	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
746	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
747	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
748	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
749	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
750	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
751	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
752	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
753	#683	C₂²×C₄	1	1	yes	characteristic
754	#683	C₂²×C₄	1	1	yes	characteristic
755	#683	C₂²×C₄	1	1	yes	characteristic
756	#683	C₂²×C₄	1	1	yes	characteristic
757	#683	C₂²×C₄	1	1	yes	characteristic
758	#683	C₂²×C₄	1	1	yes	characteristic
759	#683	C₂²×C₄	1	1	yes	characteristic
760	#683	C₂²×C₄	1	1	yes	characteristic
761	#683	C₂²×C₄	1	1	yes	characteristic
762	#683	C₂²×C₄	1	1	yes	characteristic
763	#683	C₂²×C₄	1	1	yes	characteristic
764	#683	C₂²×C₄	1	1	yes	characteristic
765	#683	C₂²×C₄	1	1	yes	characteristic
766	#683	C₂²×C₄	1	1	yes	characteristic
767	#683	C₂²×C₄	1	1	yes	characteristic
768	#683	C₂²×C₄	1	1	yes	characteristic
769	#683	C₂²×C₄	1	1	yes	characteristic
770	#683	C₂²×C₄	1	1	yes	characteristic
771	#683	C₂²×C₄	1	1	yes	characteristic
772	#683	C₂²×C₄	1	1	yes	characteristic
773	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
774	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
775	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
776	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
777	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
778	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
779	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
780	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
781	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
782	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
783	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
784	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
785	#542	—	5	1	no	—
786	#542	—	5	1	no	—
787	#542	—	5	1	no	—
788	#542	—	5	1	no	—
789	#542	—	5	1	no	—
790	#542	—	5	1	no	—
791	#542	—	5	1	no	—
792	#542	—	5	1	no	—
793	#542	—	5	1	no	—
794	#542	—	5	1	no	—
795	#542	—	5	1	no	—
796	#542	—	5	1	no	—
797	#542	—	5	1	no	—
798	#542	—	5	1	no	—
799	#542	—	5	1	no	—
800	#542	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
801	C₂×C₄⋊Q₈	—	5	1	no	—
802	C₂×#126	—	5	1	no	—
803	C₂×#126	—	5	1	no	—
804	C₂×#124	—	5	1	no	—
805	C₂×#124	—	5	1	no	—
806	C₂×#124	—	5	1	no	—
807	C₂×#123	—	5	1	no	—
808	C₂×#123	—	5	1	no	—
809	C₂×C₂²⋊Q₈	—	5	1	no	—
810	C₂×C₂²⋊Q₈	—	5	1	no	—
811	C₂×C₂²⋊Q₈	—	5	1	no	—
812	C₂×#121	—	5	1	no	—
813	C₂×C₄×Q₈	—	5	1	no	—
814	C₂×C₄×Q₈	—	5	1	no	—
815	C₂×C₄×Q₈	—	5	1	no	—
816	C₂×C₄×D₄	—	5	1	no	—
817	C₂×C₄×D₄	—	5	1	no	—
818	C₂×C₄×D₄	—	5	1	no	—
819	C₂×#117	—	5	1	no	—
820	C₂×#117	—	5	1	no	—
821	C₂²×C₄⋊C₄	—	5	1	no	—
822	#391	—	5	1	no	—
823	#391	—	5	1	no	—
824	#391	—	5	1	no	—
825	#391	—	5	1	no	—
826	#391	—	5	1	no	—
827	#391	—	5	1	no	—
828	#391	—	5	1	no	—
829	#391	—	5	1	no	—
830	#391	—	5	1	no	—
831	#391	—	5	1	no	—
832	#390	—	5	1	no	—
833	#390	—	5	1	no	—
834	#389	—	5	1	no	—
835	#389	—	5	1	no	—
836	#389	—	5	1	no	—
837	#389	—	5	1	no	—
838	#389	—	5	1	no	—
839	#389	—	5	1	no	—
840	#389	—	5	1	no	—
841	#389	—	5	1	no	—
842	#389	—	5	1	no	—
843	#389	—	5	1	no	—
844	#388	—	5	1	no	—
845	#388	—	5	1	no	—
846	#388	—	5	1	no	—
847	#388	—	5	1	no	—
848	#388	—	5	1	no	—
849	#388	—	5	1	no	—
850	#388	—	5	1	no	—
851	#388	—	5	1	no	—
852	#388	—	5	1	no	—
853	#388	—	5	1	no	—
854	#388	—	5	1	no	—
855	#388	—	5	1	no	—
856	#388	—	5	1	no	—
857	#388	—	5	1	no	—
858	#388	—	5	1	no	—
859	#388	—	5	1	no	—
860	#388	—	5	1	no	—
861	#388	—	5	1	no	—
862	#388	—	5	1	no	—
863	#388	—	5	1	no	—
864	#388	—	5	1	no	—
865	#388	—	5	1	no	—
866	#388	—	5	1	no	—
867	#388	—	5	1	no	—
868	#387	—	5	1	no	—
869	#387	—	5	1	no	—
870	#387	—	5	1	no	—
871	#387	—	5	1	no	—
872	#387	—	5	1	no	—
873	#387	—	5	1	no	—
874	#387	—	5	1	no	—
875	#387	—	5	1	no	—
876	#387	—	5	1	no	—
877	#387	—	5	1	no	—
878	#387	—	5	1	no	—
879	#387	—	5	1	no	—
880	#387	—	5	1	no	—
881	#387	—	5	1	no	—
882	#387	—	5	1	no	—
883	#387	—	5	1	no	—
884	#387	—	5	1	no	—
885	#387	—	5	1	no	—
886	#387	—	5	1	no	—
887	#387	—	5	1	no	—
888	#387	—	5	1	no	—
889	#387	—	5	1	no	—
890	#387	—	5	1	no	—
891	#387	—	5	1	no	—
892	#386	—	5	1	no	—
893	#386	—	5	1	no	—
894	#386	—	5	1	no	—
895	#386	—	5	1	no	—
896	#386	—	5	1	no	—
897	#386	—	5	1	no	—
898	#386	—	5	1	no	—
899	#386	—	5	1	no	—
900	#385	—	5	1	no	—
901	#385	—	5	1	no	—
902	#385	—	5	1	no	—
903	#385	—	5	1	no	—
904	#385	—	5	1	no	—
905	#385	—	5	1	no	—
906	#385	—	5	1	no	—
907	#385	—	5	1	no	—
908	#385	—	5	1	no	—
909	#385	—	5	1	no	—
910	#383	—	5	1	no	—
911	#383	—	5	1	no	—
912	#383	—	5	1	no	—
913	#383	—	5	1	no	—
914	#382	—	5	1	no	—
915	#382	—	5	1	no	—
916	#381	—	5	1	no	—
917	#381	—	5	1	no	—
918	#380	—	5	1	no	—
919	#380	—	5	1	no	—
920	#380	—	5	1	no	—
921	#380	—	5	1	no	—
922	C₄×C₄⋊C₄	—	5	1	no	—
923	C₄×C₄⋊C₄	—	5	1	no	—
924	C₄×C₄⋊C₄	—	5	1	no	—
925	C₄×C₄⋊C₄	—	5	1	no	—
926	C₄×C₄⋊C₄	—	5	1	no	—
927	C₄×C₄⋊C₄	—	5	1	no	—
928	C₄×C₄⋊C₄	—	5	1	no	—
929	C₄×C₄⋊C₄	—	5	1	no	—
930	C₄×C₄⋊C₄	—	5	1	no	—
931	C₄×C₄⋊C₄	—	5	1	no	—
932	C₄×C₄⋊C₄	—	5	1	no	—
933	C₄×C₄⋊C₄	—	5	1	no	—
934	C₄×C₂²⋊C₄	—	5	1	no	—
935	C₄×C₂²⋊C₄	—	5	1	no	—
936	C₄×C₂²⋊C₄	—	5	1	no	—
937	C₄×C₂²⋊C₄	—	5	1	no	—
938	C₄×C₂²⋊C₄	—	5	1	no	—
939	C₄×C₂²⋊C₄	—	5	1	no	—
940	C₄×C₂²⋊C₄	—	5	1	no	—
941	C₄×C₂²⋊C₄	—	5	1	no	—
942	C₄×C₂²⋊C₄	—	5	1	no	—
943	C₄×C₂²⋊C₄	—	5	1	no	—
944	C₄×C₂²⋊C₄	—	5	1	no	—
945	C₄×C₂²⋊C₄	—	5	1	no	—
946	C₄×C₂²⋊C₄	—	5	1	no	—
947	C₄×C₂²⋊C₄	—	5	1	no	—
948	C₄×C₂²⋊C₄	—	5	1	no	—
949	C₄×C₂²⋊C₄	—	5	1	no	—
950	#376	—	5	1	no	—
951	#376	—	5	1	no	—
952	#376	—	5	1	no	—
953	C₂×#95	—	5	1	no	—
954	C₂×#95	—	5	1	no	—
955	C₄³	—	5	1	no	—
956	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
957	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
958	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
959	C₂²×D₅	—	2	1	no	—
960	C₂²×D₅	—	2	1	no	—
961	C₂²×D₅	—	2	1	no	—
962	C₂²×D₅	—	2	1	no	—
963	C₂²×D₅	—	2	1	no	—
964	C₂²×D₅	—	2	1	no	—
965	C₂²×D₅	—	2	1	no	—
966	C₂²×D₅	—	2	1	no	—
967	C₂²×D₅	—	2	1	no	—
968	C₂²×D₅	—	2	1	no	—
969	C₂²×D₅	—	2	1	no	—
970	C₂²×D₅	—	2	1	no	—
971	C₂²×D₅	—	2	1	no	—
972	C₂²×D₅	—	2	1	no	—
973	C₂²×D₅	—	2	1	no	—
974	C₂²×D₅	—	2	1	no	—
975	C₂²×D₅	—	2	1	no	—
976	C₂²×D₅	—	2	1	no	—
977	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
978	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
979	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
980	C₂²×D₅	C₂⁵	1	1	yes	characteristic
981	C₂×AGL(1,𝔽₅)	—	2	1	no	—
982	C₂×AGL(1,𝔽₅)	—	2	1	no	—
983	C₂×AGL(1,𝔽₅)	—	2	1	no	—
984	C₂×AGL(1,𝔽₅)	—	2	1	no	—
985	C₂×AGL(1,𝔽₅)	—	2	1	no	—
986	C₂×AGL(1,𝔽₅)	—	2	1	no	—
987	C₂×AGL(1,𝔽₅)	—	2	1	no	—
988	C₂×AGL(1,𝔽₅)	—	2	1	no	—
989	C₂×AGL(1,𝔽₅)	—	2	1	no	—
990	C₂×AGL(1,𝔽₅)	—	2	1	no	—
991	C₂×AGL(1,𝔽₅)	—	2	1	no	—
992	C₂×AGL(1,𝔽₅)	—	2	1	no	—
993	C₂×AGL(1,𝔽₅)	—	2	1	no	—
994	C₂×AGL(1,𝔽₅)	—	2	1	no	—
995	C₂×AGL(1,𝔽₅)	—	2	1	no	—
996	C₂×AGL(1,𝔽₅)	—	2	1	no	—
997	C₂×AGL(1,𝔽₅)	—	2	1	no	—
998	C₂×AGL(1,𝔽₅)	—	2	1	no	—
999	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1000	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1001	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1002	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1003	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1004	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1005	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1006	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1007	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1008	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1009	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1010	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1011	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1012	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1013	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1014	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1015	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1016	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1017	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1018	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1019	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1020	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1021	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1022	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1023	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1024	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1025	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1026	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1027	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1028	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1029	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1030	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1031	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1032	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1033	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1034	C₂×AGL(1,𝔽₅)	2₋¹⁺⁴	1	2	yes	—
1035	C₅×Q₈	—	4	1	no	—
1036	C₅×Q₈	—	4	1	no	—
1037	C₅×Q₈	—	4	1	no	—
1038	C₅×D₄	—	4	1	no	—
1039	C₅×D₄	—	4	1	no	—
1040	C₅×D₄	—	4	1	no	—
1041	C₂×C₄×C₅	—	4	1	no	—
1042	C₂×C₄×C₅	—	4	1	no	—
1043	C₂×C₄×C₅	—	4	1	no	—
1044	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1045	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1046	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1047	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1048	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1049	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1050	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1051	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1052	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1053	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1054	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1055	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1056	C₂²⋊D₅	—	4	1	no	—
1057	C₂²⋊D₅	—	4	1	no	—
1058	C₂²⋊D₅	—	4	1	no	—
1059	C₂²⋊D₅	—	4	1	no	—
1060	C₂²⋊D₅	—	4	1	no	—
1061	C₂²⋊D₅	—	4	1	no	—
1062	C₂×Dic₅	—	4	1	no	—
1063	C₂×Dic₅	—	4	1	no	—
1064	C₂×Dic₅	—	4	1	no	—
1065	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1066	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1067	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1068	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1069	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1070	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1071	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1072	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1073	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1074	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1075	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1076	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1077	D₂₀	—	4	1	no	—
1078	D₂₀	—	4	1	no	—
1079	D₂₀	—	4	1	no	—
1080	C₄×D₅	—	2	1	no	—
1081	C₄×D₅	—	2	1	no	—
1082	C₄×D₅	—	2	1	no	—
1083	C₄×D₅	—	2	1	no	—
1084	C₄×D₅	—	2	1	no	—
1085	C₄×D₅	—	2	1	no	—
1086	C₄×D₅	—	2	1	no	—
1087	C₄×D₅	—	2	1	no	—
1088	C₄×D₅	—	2	1	no	—
1089	C₄×D₅	—	2	1	no	—
1090	C₄×D₅	—	2	1	no	—
1091	C₄×D₅	—	2	1	no	—
1092	C₄×D₅	—	2	1	no	—
1093	C₄×D₅	—	2	1	no	—
1094	C₄×D₅	—	2	1	no	—
1095	C₄×D₅	—	2	1	no	—
1096	C₄×D₅	—	2	1	no	—
1097	C₄×D₅	—	2	1	no	—
1098	C₄×D₅	—	2	1	no	—
1099	C₄×D₅	—	2	1	no	—
1100	C₄×D₅	—	2	1	no	—
1101	C₄×D₅	—	2	1	no	—
1102	C₄×D₅	—	2	1	no	—
1103	C₄×D₅	—	2	1	no	—
1104	C₄×D₅	—	4	1	no	—
1105	C₄×D₅	—	4	1	no	—
1106	C₄×D₅	—	4	1	no	—
1107	C₄×D₅	—	4	1	no	—
1108	C₄×D₅	—	4	1	no	—
1109	C₄×D₅	—	4	1	no	—
1110	Dic₁₀	—	4	1	no	—
1111	Dic₁₀	—	4	1	no	—
1112	Dic₁₀	—	4	1	no	—
1113	Dic₁₀	—	4	1	no	—
1114	Dic₁₀	—	4	1	no	—
1115	Dic₁₀	—	4	1	no	—
1116	Dic₁₀	—	4	1	no	—
1117	Dic₁₀	—	4	1	no	—
1118	Dic₁₀	—	4	1	no	—
1119	C₂²×Q₈	—	5	1	no	—
1120	C₂²×Q₈	—	5	1	no	—
1121	C₂²×Q₈	—	5	1	no	—
1122	C₂²×D₄	—	5	1	no	—
1123	C₂²×D₄	—	5	1	no	—
1124	C₂²×D₄	—	5	1	no	—
1125	C₂³×C₄	—	5	1	no	—
1126	C₂³×C₄	—	5	1	no	—
1127	C₂³×C₄	—	5	1	no	—
1128	C₂³×C₄	—	5	1	no	—
1129	C₂³×C₄	—	5	1	no	—
1130	C₂³×C₄	—	5	1	no	—
1131	C₂³×C₄	—	5	1	no	—
1132	C₂³×C₄	—	5	1	no	—
1133	C₂³×C₄	—	5	1	no	—
1134	C₄⋊Q₈	—	5	1	no	—
1135	C₄⋊Q₈	—	5	1	no	—
1136	C₄⋊Q₈	—	5	1	no	—
1137	C₄⋊Q₈	—	5	1	no	—
1138	C₄⋊Q₈	—	5	1	no	—
1139	C₄⋊Q₈	—	5	1	no	—
1140	C₄⋊Q₈	—	5	1	no	—
1141	C₄⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1142	#126	—	5	1	no	—
1143	#126	—	5	1	no	—
1144	#126	—	5	1	no	—
1145	#126	—	5	1	no	—
1146	#126	—	5	1	no	—
1147	#126	—	5	1	no	—
1148	#126	—	5	1	no	—
1149	#126	—	5	1	no	—
1150	#126	—	5	1	no	—
1151	#126	—	5	1	no	—
1152	#126	—	5	1	no	—
1153	#126	—	5	1	no	—
1154	#126	—	5	1	no	—
1155	#126	—	5	1	no	—
1156	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1157	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1158	#124	—	5	1	no	—
1159	#124	—	5	1	no	—
1160	#124	—	5	1	no	—
1161	#124	—	5	1	no	—
1162	#124	—	5	1	no	—
1163	#124	—	5	1	no	—
1164	#124	—	5	1	no	—
1165	#124	—	5	1	no	—
1166	#124	—	5	1	no	—
1167	#124	—	5	1	no	—
1168	#124	—	5	1	no	—
1169	#124	—	5	1	no	—
1170	#124	—	5	1	no	—
1171	#124	—	5	1	no	—
1172	#124	—	5	1	no	—
1173	#124	—	5	1	no	—
1174	#124	—	5	1	no	—
1175	#124	—	5	1	no	—
1176	#124	—	5	1	no	—
1177	#124	—	5	1	no	—
1178	#124	—	5	1	no	—
1179	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1180	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1181	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1182	#123	—	5	1	no	—
1183	#123	—	5	1	no	—
1184	#123	—	5	1	no	—
1185	#123	—	5	1	no	—
1186	#123	—	5	1	no	—
1187	#123	—	5	1	no	—
1188	#123	—	5	1	no	—
1189	#123	—	5	1	no	—
1190	#123	—	5	1	no	—
1191	#123	—	5	1	no	—
1192	#123	—	5	1	no	—
1193	#123	—	5	1	no	—
1194	#123	—	5	1	no	—
1195	#123	—	5	1	no	—
1196	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1197	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1198	C₂²⋊Q₈	—	5	1	no	—
1199	C₂²⋊Q₈	—	5	1	no	—
1200	C₂²⋊Q₈	—	5	1	no	—
1201	C₂²⋊Q₈	—	5	1	no	—
1202	C₂²⋊Q₈	—	5	1	no	—
1203	C₂²⋊Q₈	—	5	1	no	—
1204	C₂²⋊Q₈	—	5	1	no	—
1205	C₂²⋊Q₈	—	5	1	no	—
1206	C₂²⋊Q₈	—	5	1	no	—
1207	C₂²⋊Q₈	—	5	1	no	—
1208	C₂²⋊Q₈	—	5	1	no	—
1209	C₂²⋊Q₈	—	5	1	no	—
1210	C₂²⋊Q₈	—	5	1	no	—
1211	C₂²⋊Q₈	—	5	1	no	—
1212	C₂²⋊Q₈	—	5	1	no	—
1213	C₂²⋊Q₈	—	5	1	no	—
1214	C₂²⋊Q₈	—	5	1	no	—
1215	C₂²⋊Q₈	—	5	1	no	—
1216	C₂²⋊Q₈	—	5	1	no	—
1217	C₂²⋊Q₈	—	5	1	no	—
1218	C₂²⋊Q₈	—	5	1	no	—
1219	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1220	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1221	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1222	#121	—	5	1	no	—
1223	#121	—	5	1	no	—
1224	#121	—	5	1	no	—
1225	#121	—	5	1	no	—
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1230	C₄×Q₈	—	5	1	no	—
1231	C₄×Q₈	—	5	1	no	—
1232	C₄×Q₈	—	5	1	no	—
1233	C₄×Q₈	—	5	1	no	—
1234	C₄×Q₈	—	5	1	no	—
1235	C₄×Q₈	—	5	1	no	—
1236	C₄×Q₈	—	5	1	no	—
1237	C₄×Q₈	—	20	2	no	—
1238	C₄×Q₈	—	20	2	no	—
1239	C₄×Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1240	C₄×D₄	—	5	1	no	—
1241	C₄×D₄	—	5	1	no	—
1242	C₄×D₄	—	5	1	no	—
1243	C₄×D₄	—	5	1	no	—
1244	C₄×D₄	—	5	1	no	—
1245	C₄×D₄	—	5	1	no	—
1246	C₄×D₄	—	5	1	no	—
1247	C₄×D₄	—	20	2	no	—
1248	C₄×D₄	—	20	2	no	—
1249	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1250	#117	—	5	1	no	—
1251	#117	—	5	1	no	—
1252	#117	—	5	1	no	—
1253	#117	—	5	1	no	—
1254	#117	—	5	1	no	—
1255	#117	—	5	1	no	—
1256	#117	—	5	1	no	—
1257	#117	—	20	2	no	—
1258	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1259	C₂×C₄⋊C₄	—	5	1	no	—
1260	C₂×C₄⋊C₄	—	5	1	no	—
1261	C₂×C₄⋊C₄	—	5	1	no	—
1262	C₂×C₄⋊C₄	—	5	1	no	—
1263	C₂×C₄⋊C₄	—	5	1	no	—
1264	C₂×C₄⋊C₄	—	5	1	no	—
1265	C₂×C₄⋊C₄	—	5	1	no	—
1266	C₂×C₄⋊C₄	—	5	1	no	—
1267	C₂×C₄⋊C₄	—	5	1	no	—
1268	C₂×C₄⋊C₄	—	5	1	no	—
1269	C₂×C₄⋊C₄	—	5	1	no	—
1270	C₂×C₄⋊C₄	—	5	1	no	—
1271	C₂×C₄⋊C₄	—	5	1	no	—
1272	C₂×C₄⋊C₄	—	5	1	no	—
1273	C₂×C₄⋊C₄	—	5	1	no	—
1274	C₂×C₄⋊C₄	—	5	1	no	—
1275	C₂×C₄⋊C₄	—	5	1	no	—
1276	C₂×C₄⋊C₄	—	5	1	no	—
1277	C₂×C₄⋊C₄	—	5	1	no	—
1278	C₂×C₄⋊C₄	—	5	1	no	—
1279	C₂×C₄⋊C₄	—	5	1	no	—
1280	C₂×C₄⋊C₄	—	5	1	no	—
1281	C₂×C₄⋊C₄	—	5	1	no	—
1282	C₂×C₄⋊C₄	—	5	1	no	—
1283	C₂×C₄⋊C₄	—	5	1	no	—
1284	C₂×C₄⋊C₄	—	5	1	no	—
1285	C₂×C₄⋊C₄	—	5	1	no	—
1286	C₂×C₄⋊C₄	—	5	1	no	—
1287	C₂×C₄⋊C₄	—	5	1	no	—
1288	C₂×C₄⋊C₄	—	5	1	no	—
1289	C₂×C₄⋊C₄	—	5	1	no	—
1290	C₂×C₄⋊C₄	—	5	1	no	—
1291	C₂×C₄⋊C₄	—	20	2	no	—
1292	C₂×C₂²⋊C₄	—	5	1	no	—
1293	C₂×C₂²⋊C₄	—	5	1	no	—
1294	C₂×C₂²⋊C₄	—	5	1	no	—
1295	C₂×C₂²⋊C₄	—	5	1	no	—
1296	C₂×C₂²⋊C₄	—	5	1	no	—
1297	C₂×C₂²⋊C₄	—	5	1	no	—
1298	C₂×C₂²⋊C₄	—	5	1	no	—
1299	C₂×C₂²⋊C₄	—	5	1	no	—
1300	C₂×C₂²⋊C₄	—	5	1	no	—
1301	C₂×C₂²⋊C₄	—	5	1	no	—
1302	C₂×C₂²⋊C₄	—	5	1	no	—
1303	C₂×C₂²⋊C₄	—	5	1	no	—
1304	C₂×C₂²⋊C₄	—	5	1	no	—
1305	C₂×C₂²⋊C₄	—	5	1	no	—
1306	C₂×C₂²⋊C₄	—	5	1	no	—
1307	C₂×C₂²⋊C₄	—	5	1	no	—
1308	C₂×C₂²⋊C₄	—	5	1	no	—
1309	C₂×C₂²⋊C₄	—	5	1	no	—
1310	C₂×C₂²⋊C₄	—	5	1	no	—
1311	C₂×C₂²⋊C₄	—	5	1	no	—
1312	C₂×C₂²⋊C₄	—	5	1	no	—
1313	C₂×C₂²⋊C₄	—	5	1	no	—
1314	C₂×C₂²⋊C₄	—	5	1	no	—
1315	C₂×C₂²⋊C₄	—	5	1	no	—
1316	C₂×C₂²⋊C₄	—	5	1	no	—
1317	C₂×C₂²⋊C₄	—	5	1	no	—
1318	C₂×C₂²⋊C₄	—	5	1	no	—
1319	C₂×C₂²⋊C₄	—	5	1	no	—
1320	C₂×C₂²⋊C₄	—	5	1	no	—
1321	C₂×C₂²⋊C₄	—	5	1	no	—
1322	C₂×C₄²	—	5	1	no	—
1323	C₂×C₄²	—	5	1	no	—
1324	C₂×C₄²	—	5	1	no	—
1325	C₂×C₄²	—	5	1	no	—
1326	C₂×C₄²	—	5	1	no	—
1327	C₂×C₄²	—	5	1	no	—
1328	C₂×C₄²	—	5	1	no	—
1329	C₂×C₄²	—	5	1	no	—
1330	C₂×C₄²	—	5	1	no	—
1331	C₂×C₄²	—	5	1	no	—
1332	C₂×C₄²	—	5	1	no	—
1333	C₂×C₄²	—	5	1	no	—
1334	C₂×C₄²	—	5	1	no	—
1335	C₂×C₄²	—	5	1	no	—
1336	C₂×C₄²	—	5	1	no	—
1337	C₂×C₄²	—	5	1	no	—
1338	C₂×C₄²	—	5	1	no	—
1339	C₂×C₄²	—	5	1	no	—
1340	C₂×C₄²	—	5	1	no	—
1341	C₂×C₄²	—	5	1	no	—
1342	C₂×C₄²	—	5	1	no	—
1343	C₂×C₄²	—	5	1	no	—
1344	C₂×C₄²	—	5	1	no	—
1345	C₂×C₄²	—	5	1	no	—
1346	C₂×C₄²	—	5	1	no	—
1347	C₂×C₄²	—	5	1	no	—
1348	#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	#95	—	5	1	no	—
1375	#95	—	5	1	no	—
1376	#95	—	5	1	no	—
1377	#95	—	5	1	no	—
1378	#95	—	5	1	no	—
1379	#95	—	5	1	no	—
1380	#95	—	5	1	no	—
1381	#95	—	5	1	no	—
1382	#95	—	5	1	no	—
1383	#95	—	5	1	no	—
1384	#95	—	5	1	no	—
1385	#95	—	5	1	no	—
1386	#95	—	5	1	no	—
1387	#95	—	5	1	no	—
1388	#95	—	5	1	no	—
1389	#95	—	5	1	no	—
1390	#95	—	5	1	no	—
1391	#95	—	5	1	no	—
1392	#95	—	5	1	no	—
1393	#95	—	5	1	no	—
1394	#95	—	5	1	no	—
1395	#95	—	5	1	no	—
1396	#95	—	5	1	no	—
1397	#95	—	5	1	no	—
1398	#95	—	5	1	no	—
1399	#95	—	5	1	no	—
1400	C₂²×C₅	—	2	1	no	—
1401	C₂²×C₅	—	2	1	no	—
1402	C₂²×C₅	—	2	1	no	—
1403	C₂²×C₅	—	2	1	no	—
1404	C₂²×C₅	—	2	1	no	—
1405	C₂²×C₅	—	2	1	no	—
1406	C₂²×C₅	—	2	1	no	—
1407	C₂²×C₅	—	2	1	no	—
1408	C₂²×C₅	—	2	1	no	—
1409	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1410	C₂×D₅	—	2	1	no	—
1411	C₂×D₅	—	2	1	no	—
1412	C₂×D₅	—	2	1	no	—
1413	C₂×D₅	—	2	1	no	—
1414	C₂×D₅	—	2	1	no	—
1415	C₂×D₅	—	2	1	no	—
1416	C₂×D₅	—	2	1	no	—
1417	C₂×D₅	—	2	1	no	—
1418	C₂×D₅	—	2	1	no	—
1419	C₂×D₅	—	4	1	no	—
1420	C₂×D₅	—	4	1	no	—
1421	C₂×D₅	—	4	1	no	—
1422	C₂×D₅	—	4	1	no	—
1423	C₂×D₅	—	4	1	no	—
1424	C₂×D₅	—	4	1	no	—
1425	C₂×D₅	—	4	1	no	—
1426	C₂×D₅	—	4	1	no	—
1427	C₂×D₅	—	4	1	no	—
1428	C₂×D₅	—	4	1	no	—
1429	C₂×D₅	—	4	1	no	—
1430	C₂×D₅	—	4	1	no	—
1431	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1432	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1433	C₂×D₅	#585	1	1	yes	characteristic
1434	C₂×D₅	#585	1	1	yes	characteristic
1435	C₂×D₅	#585	1	1	yes	characteristic
1436	C₂×D₅	#585	1	1	yes	characteristic
1437	AGL(1,𝔽₅)	—	2	2	no	—
1438	AGL(1,𝔽₅)	—	2	2	no	—
1439	AGL(1,𝔽₅)	—	4	1	no	—
1440	AGL(1,𝔽₅)	—	4	1	no	—
1441	AGL(1,𝔽₅)	—	4	1	no	—
1442	AGL(1,𝔽₅)	—	4	1	no	—
1443	AGL(1,𝔽₅)	—	4	1	no	—
1444	AGL(1,𝔽₅)	—	4	1	no	—
1445	AGL(1,𝔽₅)	—	4	1	no	—
1446	AGL(1,𝔽₅)	—	4	1	no	—
1447	AGL(1,𝔽₅)	—	4	1	no	—
1448	AGL(1,𝔽₅)	—	4	1	no	—
1449	AGL(1,𝔽₅)	—	4	1	no	—
1450	AGL(1,𝔽₅)	—	4	1	no	—
1451	AGL(1,𝔽₅)	—	4	1	no	—
1452	AGL(1,𝔽₅)	—	4	1	no	—
1453	C₄×C₅	—	2	1	no	—
1454	C₄×C₅	—	2	1	no	—
1455	C₄×C₅	—	2	1	no	—
1456	C₄×C₅	—	2	1	no	—
1457	C₄×C₅	—	2	1	no	—
1458	C₄×C₅	—	2	1	no	—
1459	C₄×C₅	—	2	1	no	—
1460	C₄×C₅	—	2	1	no	—
1461	C₄×C₅	—	2	1	no	—
1462	C₄×C₅	—	2	1	no	—
1463	C₄×C₅	—	2	1	no	—
1464	C₄×C₅	—	2	1	no	—
1465	Dic₅	—	2	1	no	—
1466	Dic₅	—	2	1	no	—
1467	Dic₅	—	2	1	no	—
1468	Dic₅	—	2	1	no	—
1469	Dic₅	—	2	1	no	—
1470	Dic₅	—	2	1	no	—
1471	Dic₅	—	2	1	no	—
1472	Dic₅	—	2	1	no	—
1473	Dic₅	—	2	1	no	—
1474	Dic₅	—	2	1	no	—
1475	Dic₅	—	2	1	no	—
1476	Dic₅	—	2	1	no	—
1477	C₂⁴	—	5	1	no	—
1478	C₂⁴	—	5	1	no	—
1479	C₂⁴	—	5	1	no	—
1480	C₂×Q₈	—	5	1	no	—
1481	C₂×Q₈	—	5	1	no	—
1482	C₂×Q₈	—	5	1	no	—
1483	C₂×Q₈	—	5	1	no	—
1484	C₂×Q₈	—	5	1	no	—
1485	C₂×Q₈	—	5	1	no	—
1486	C₂×Q₈	—	5	1	no	—
1487	C₂×Q₈	—	5	1	no	—
1488	C₂×Q₈	—	5	1	no	—
1489	C₂×Q₈	—	20	1	no	—
1490	C₂×Q₈	—	20	1	no	—
1491	C₂×Q₈	—	20	1	no	—
1492	C₂×Q₈	—	20	1	no	—
1493	C₂×Q₈	—	20	1	no	—
1494	C₂×Q₈	—	20	1	no	—
1495	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1496	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1497	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1498	C₂×D₄	—	5	1	no	—
1499	C₂×D₄	—	5	1	no	—
1500	C₂×D₄	—	5	1	no	—
1501	C₂×D₄	—	5	1	no	—
1502	C₂×D₄	—	5	1	no	—
1503	C₂×D₄	—	5	1	no	—
1504	C₂×D₄	—	5	1	no	—
1505	C₂×D₄	—	5	1	no	—
1506	C₂×D₄	—	5	1	no	—
1507	C₂×D₄	—	20	1	no	—
1508	C₂×D₄	—	20	1	no	—
1509	C₂×D₄	—	20	1	no	—
1510	C₂×D₄	—	20	1	no	—
1511	C₂×D₄	—	20	1	no	—
1512	C₂×D₄	—	20	1	no	—
1513	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1514	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1515	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1516	C₂²×C₄	—	5	1	no	—
1517	C₂²×C₄	—	5	1	no	—
1518	C₂²×C₄	—	5	1	no	—
1519	C₂²×C₄	—	5	1	no	—
1520	C₂²×C₄	—	5	1	no	—
1521	C₂²×C₄	—	5	1	no	—
1522	C₂²×C₄	—	5	1	no	—
1523	C₂²×C₄	—	5	1	no	—
1524	C₂²×C₄	—	5	1	no	—
1525	C₂²×C₄	—	5	1	no	—
1526	C₂²×C₄	—	5	1	no	—
1527	C₂²×C₄	—	5	1	no	—
1528	C₂²×C₄	—	5	1	no	—
1529	C₂²×C₄	—	5	1	no	—
1530	C₂²×C₄	—	5	1	no	—
1531	C₂²×C₄	—	5	1	no	—
1532	C₂²×C₄	—	5	1	no	—
1533	C₂²×C₄	—	5	1	no	—
1534	C₂²×C₄	—	5	1	no	—
1535	C₂²×C₄	—	5	1	no	—
1536	C₂²×C₄	—	5	1	no	—
1537	C₂²×C₄	—	5	1	no	—
1538	C₂²×C₄	—	5	1	no	—
1539	C₂²×C₄	—	5	1	no	—
1540	C₂²×C₄	—	5	1	no	—
1541	C₂²×C₄	—	5	1	no	—
1542	C₂²×C₄	—	5	1	no	—
1543	C₂²×C₄	—	5	1	no	—
1544	C₂²×C₄	—	5	1	no	—
1545	C₂²×C₄	—	5	1	no	—
1546	C₂²×C₄	—	5	1	no	—
1547	C₂²×C₄	—	5	1	no	—
1548	C₂²×C₄	—	5	1	no	—
1549	C₂²×C₄	—	5	1	no	—
1550	C₂²×C₄	—	5	1	no	—
1551	C₂²×C₄	—	5	1	no	—
1552	C₂²×C₄	—	5	1	no	—
1553	C₂²×C₄	—	10	2	no	—
1554	C₂²×C₄	—	10	2	no	—
1555	C₂²×C₄	—	10	2	no	—
1556	C₂²×C₄	—	20	1	no	—
1557	C₂²×C₄	—	20	1	no	—
1558	C₂²×C₄	—	20	1	no	—
1559	C₂²×C₄	—	20	1	no	—
1560	C₂²×C₄	—	20	1	no	—
1561	C₂²×C₄	—	20	1	no	—
1562	C₂²×C₄	—	20	1	no	—
1563	C₂²×C₄	—	20	1	no	—
1564	C₂²×C₄	—	20	1	no	—
1565	C₂²×C₄	—	20	1	no	—
1566	C₂²×C₄	—	20	1	no	—
1567	C₂²×C₄	—	20	1	no	—
1568	C₂²×C₄	—	20	1	no	—
1569	C₂²×C₄	—	20	1	no	—
1570	C₂²×C₄	—	20	1	no	—
1571	C₂²×C₄	—	20	1	no	—
1572	C₂²×C₄	—	20	1	no	—
1573	C₂²×C₄	—	20	1	no	—
1574	C₂²×C₄	—	20	1	no	—
1575	C₂²×C₄	—	20	1	no	—
1576	C₂²×C₄	—	20	1	no	—
1577	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1578	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1579	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1580	C₄⋊C₄	—	5	1	no	—
1581	C₄⋊C₄	—	5	1	no	—
1582	C₄⋊C₄	—	5	1	no	—
1583	C₄⋊C₄	—	5	1	no	—
1584	C₄⋊C₄	—	5	1	no	—
1585	C₄⋊C₄	—	5	1	no	—
1586	C₄⋊C₄	—	5	1	no	—
1587	C₄⋊C₄	—	5	1	no	—
1588	C₄⋊C₄	—	5	1	no	—
1589	C₄⋊C₄	—	5	1	no	—
1590	C₄⋊C₄	—	5	1	no	—
1591	C₄⋊C₄	—	5	1	no	—
1592	C₄⋊C₄	—	5	1	no	—
1593	C₄⋊C₄	—	5	1	no	—
1594	C₄⋊C₄	—	5	1	no	—
1595	C₄⋊C₄	—	5	1	no	—
1596	C₄⋊C₄	—	5	1	no	—
1597	C₄⋊C₄	—	5	1	no	—
1598	C₄⋊C₄	—	5	1	no	—
1599	C₄⋊C₄	—	5	1	no	—
1600	C₄⋊C₄	—	5	1	no	—
1601	C₄⋊C₄	—	5	1	no	—
1602	C₄⋊C₄	—	5	1	no	—
1603	C₄⋊C₄	—	5	1	no	—
1604	C₄⋊C₄	—	5	1	no	—
1605	C₄⋊C₄	—	5	1	no	—
1606	C₄⋊C₄	—	5	1	no	—
1607	C₄⋊C₄	—	5	1	no	—
1608	C₄⋊C₄	—	5	1	no	—
1609	C₄⋊C₄	—	5	1	no	—
1610	C₄⋊C₄	—	10	2	no	—
1611	C₄⋊C₄	—	10	2	no	—
1612	C₄⋊C₄	—	10	2	no	—
1613	C₄⋊C₄	—	10	2	no	—
1614	C₄⋊C₄	—	10	2	no	—
1615	C₄⋊C₄	—	20	1	no	—
1616	C₄⋊C₄	—	20	1	no	—
1617	C₄⋊C₄	—	20	1	no	—
1618	C₄⋊C₄	—	20	1	no	—
1619	C₄⋊C₄	—	20	1	no	—
1620	C₄⋊C₄	—	20	1	no	—
1621	C₄⋊C₄	—	20	1	no	—
1622	C₄⋊C₄	—	20	1	no	—
1623	C₄⋊C₄	—	20	1	no	—
1624	C₄⋊C₄	—	20	1	no	—
1625	C₄⋊C₄	—	20	1	no	—
1626	C₄⋊C₄	—	20	1	no	—
1627	C₄⋊C₄	—	20	1	no	—
1628	C₄⋊C₄	—	20	1	no	—
1629	C₄⋊C₄	—	20	1	no	—
1630	C₄⋊C₄	—	20	1	no	—
1631	C₄⋊C₄	—	20	1	no	—
1632	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1633	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1634	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1635	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1636	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1637	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1638	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1639	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1640	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1641	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1642	C₂²⋊C₄	—	5	1	no	—
1643	C₂²⋊C₄	—	5	1	no	—
1644	C₂²⋊C₄	—	5	1	no	—
1645	C₂²⋊C₄	—	5	1	no	—
1646	C₂²⋊C₄	—	5	1	no	—
1647	C₂²⋊C₄	—	5	1	no	—
1648	C₂²⋊C₄	—	5	1	no	—
1649	C₂²⋊C₄	—	5	1	no	—
1650	C₂²⋊C₄	—	5	1	no	—
1651	C₂²⋊C₄	—	5	1	no	—
1652	C₂²⋊C₄	—	5	1	no	—
1653	C₂²⋊C₄	—	5	1	no	—
1654	C₂²⋊C₄	—	5	1	no	—
1655	C₂²⋊C₄	—	5	1	no	—
1656	C₂²⋊C₄	—	5	1	no	—
1657	C₂²⋊C₄	—	5	1	no	—
1658	C₂²⋊C₄	—	5	1	no	—
1659	C₂²⋊C₄	—	5	1	no	—
1660	C₂²⋊C₄	—	5	1	no	—
1661	C₂²⋊C₄	—	5	1	no	—
1662	C₂²⋊C₄	—	5	1	no	—
1663	C₂²⋊C₄	—	5	1	no	—
1664	C₂²⋊C₄	—	5	1	no	—
1665	C₂²⋊C₄	—	5	1	no	—
1666	C₂²⋊C₄	—	5	1	no	—
1667	C₂²⋊C₄	—	5	1	no	—
1668	C₂²⋊C₄	—	5	1	no	—
1669	C₂²⋊C₄	—	5	1	no	—
1670	C₂²⋊C₄	—	5	1	no	—
1671	C₂²⋊C₄	—	5	1	no	—
1672	C₂²⋊C₄	—	5	1	no	—
1673	C₂²⋊C₄	—	5	1	no	—
1674	C₂²⋊C₄	—	5	1	no	—
1675	C₂²⋊C₄	—	5	1	no	—
1676	C₂²⋊C₄	—	5	1	no	—
1677	C₂²⋊C₄	—	5	1	no	—
1678	C₂²⋊C₄	—	10	2	no	—
1679	C₂²⋊C₄	—	10	2	no	—
1680	C₂²⋊C₄	—	10	2	no	—
1681	C₂²⋊C₄	—	20	1	no	—
1682	C₂²⋊C₄	—	20	1	no	—
1683	C₂²⋊C₄	—	20	1	no	—
1684	C₂²⋊C₄	—	20	1	no	—
1685	C₂²⋊C₄	—	20	1	no	—
1686	C₂²⋊C₄	—	20	1	no	—
1687	C₂²⋊C₄	—	20	1	no	—
1688	C₂²⋊C₄	—	20	1	no	—
1689	C₂²⋊C₄	—	20	1	no	—
1690	C₂²⋊C₄	—	20	1	no	—
1691	C₂²⋊C₄	—	20	1	no	—
1692	C₂²⋊C₄	—	20	1	no	—
1693	C₂²⋊C₄	—	20	1	no	—
1694	C₂²⋊C₄	—	20	1	no	—
1695	C₂²⋊C₄	—	20	1	no	—
1696	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1697	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1698	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1699	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1700	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1701	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1702	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1703	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1704	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1705	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1708	C₄²	—	5	1	no	—
1709	C₄²	—	5	1	no	—
1710	C₄²	—	5	1	no	—
1711	C₄²	—	5	1	no	—
1712	C₄²	—	5	1	no	—
1713	C₄²	—	5	1	no	—
1714	C₄²	—	5	1	no	—
1715	C₄²	—	5	1	no	—
1716	C₄²	—	5	1	no	—
1717	C₄²	—	5	1	no	—
1718	C₄²	—	5	1	no	—
1719	C₄²	—	5	1	no	—
1720	C₄²	—	10	2	no	—
1721	C₄²	—	10	2	no	—
1722	C₄²	—	10	2	no	—
1723	C₄²	—	20	1	no	—
1724	C₄²	—	20	1	no	—
1725	C₄²	—	20	1	no	—
1726	C₄²	—	20	1	no	—
1727	C₄²	—	20	1	no	—
1728	C₄²	—	20	1	no	—
1729	C₄²	—	20	1	no	—
1730	C₄²	—	20	1	no	—
1731	C₄²	—	20	1	no	—
1732	C₄²	—	20	1	no	—
1733	C₄²	—	20	1	no	—
1734	C₄²	—	20	1	no	—
1735	C₄²	—	20	1	no	—
1736	C₄²	—	20	1	no	—
1737	C₄²	—	20	1	no	—
1738	C₄²	—	20	1	no	—
1739	C₄²	—	20	1	no	—
1740	C₄²	—	20	1	no	—
1741	C₄²	—	20	1	no	—
1742	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1743	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1744	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1745	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1746	C₂×C₅	—	4	1	no	—
1747	C₂×C₅	—	4	1	no	—
1748	C₂×C₅	—	4	1	no	—
1749	C₂×C₅	#3428	1	1	yes	characteristic
1750	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1751	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1752	D₅	—	4	1	no	—
1753	D₅	—	4	1	no	—
1754	D₅	—	4	1	no	—
1755	D₅	#3560	1	1	yes	characteristic
1756	D₅	#3561	1	1	yes	characteristic
1757	D₅	#3565	1	1	yes	characteristic
1758	D₅	#3566	1	1	yes	characteristic
1759	C₂³	—	5	1	no	—
1760	C₂³	—	5	1	no	—
1761	C₂³	—	5	1	no	—
1762	C₂³	—	5	1	no	—
1763	C₂³	—	10	1	no	—
1764	C₂³	—	10	1	no	—
1765	C₂³	—	10	1	no	—
1766	C₂³	—	10	1	no	—
1767	C₂³	—	10	1	no	—
1768	C₂³	—	10	1	no	—
1769	C₂³	—	10	1	no	—
1770	C₂³	—	10	1	no	—
1771	C₂³	—	10	1	no	—
1772	C₂³	—	10	1	no	—
1773	C₂³	—	10	1	no	—
1774	C₂³	—	10	1	no	—
1775	C₂³	—	10	1	no	—
1776	C₂³	—	10	1	no	—
1777	C₂³	—	10	1	no	—
1778	C₂³	—	10	1	no	—
1779	C₂³	—	10	1	no	—
1780	C₂³	—	10	1	no	—
1781	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1782	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1783	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1784	Q₈	—	4	1	no	—
1785	Q₈	—	4	1	no	—
1786	Q₈	—	4	1	no	—
1787	Q₈	—	20	1	no	—
1788	Q₈	—	20	1	no	—
1789	Q₈	—	20	1	no	—
1790	Q₈	—	20	1	no	—
1791	Q₈	—	20	1	no	—
1792	Q₈	—	20	1	no	—
1793	Q₈	—	20	1	no	—
1794	Q₈	—	20	1	no	—
1795	Q₈	—	20	1	no	—
1796	D₄	—	4	1	no	—
1797	D₄	—	4	1	no	—
1798	D₄	—	4	1	no	—
1799	D₄	—	20	1	no	—
1800	D₄	—	20	1	no	—
1801	D₄	—	20	1	no	—
1802	D₄	—	20	1	no	—
1803	D₄	—	20	1	no	—
1804	D₄	—	20	1	no	—
1805	D₄	—	20	1	no	—
1806	D₄	—	20	1	no	—
1807	D₄	—	20	1	no	—
1808	C₂×C₄	—	4	1	no	—
1809	C₂×C₄	—	4	1	no	—
1810	C₂×C₄	—	4	1	no	—
1811	C₂×C₄	—	5	2	no	—
1812	C₂×C₄	—	5	2	no	—
1813	C₂×C₄	—	5	1	no	—
1814	C₂×C₄	—	5	1	no	—
1815	C₂×C₄	—	5	1	no	—
1816	C₂×C₄	—	5	1	no	—
1817	C₂×C₄	—	5	1	no	—
1818	C₂×C₄	—	5	1	no	—
1819	C₂×C₄	—	5	1	no	—
1820	C₂×C₄	—	5	1	no	—
1821	C₂×C₄	—	5	1	no	—
1822	C₂×C₄	—	5	1	no	—
1823	C₂×C₄	—	5	1	no	—
1824	C₂×C₄	—	5	1	no	—
1825	C₂×C₄	—	10	1	no	—
1826	C₂×C₄	—	10	1	no	—
1827	C₂×C₄	—	10	1	no	—
1828	C₂×C₄	—	10	1	no	—
1829	C₂×C₄	—	10	1	no	—
1830	C₂×C₄	—	10	1	no	—
1831	C₂×C₄	—	10	1	no	—
1832	C₂×C₄	—	10	1	no	—
1833	C₂×C₄	—	10	1	no	—
1834	C₂×C₄	—	10	1	no	—
1835	C₂×C₄	—	10	1	no	—
1836	C₂×C₄	—	10	1	no	—
1837	C₂×C₄	—	10	1	no	—
1838	C₂×C₄	—	10	1	no	—
1839	C₂×C₄	—	10	1	no	—
1840	C₂×C₄	—	10	1	no	—
1841	C₂×C₄	—	10	1	no	—
1842	C₂×C₄	—	10	1	no	—
1843	C₂×C₄	—	10	1	no	—
1844	C₂×C₄	—	10	1	no	—
1845	C₂×C₄	—	10	1	no	—
1846	C₂×C₄	—	10	1	no	—
1847	C₂×C₄	—	10	1	no	—
1848	C₂×C₄	—	10	1	no	—
1849	C₂×C₄	—	10	1	no	—
1850	C₂×C₄	—	10	1	no	—
1851	C₂×C₄	—	10	1	no	—
1852	C₂×C₄	—	10	1	no	—
1853	C₂×C₄	—	10	1	no	—
1854	C₂×C₄	—	10	1	no	—
1855	C₂×C₄	—	10	1	no	—
1856	C₂×C₄	—	10	1	no	—
1857	C₂×C₄	—	10	1	no	—
1858	C₂×C₄	—	10	1	no	—
1859	C₂×C₄	—	10	1	no	—
1860	C₂×C₄	—	10	1	no	—
1861	C₂×C₄	—	10	1	no	—
1862	C₂×C₄	—	10	1	no	—
1863	C₂×C₄	—	10	1	no	—
1864	C₂×C₄	—	10	1	no	—
1865	C₂×C₄	—	10	1	no	—
1866	C₂×C₄	—	10	1	no	—
1867	C₂×C₄	—	10	1	no	—
1868	C₂×C₄	—	10	1	no	—
1869	C₂×C₄	—	10	1	no	—
1870	C₂×C₄	—	10	1	no	—
1871	C₂×C₄	—	10	1	no	—
1872	C₂×C₄	—	10	1	no	—
1873	C₂×C₄	—	10	1	no	—
1874	C₂×C₄	—	10	1	no	—
1875	C₂×C₄	—	10	1	no	—
1876	C₂×C₄	—	10	1	no	—
1877	C₂×C₄	—	10	1	no	—
1878	C₂×C₄	—	10	1	no	—
1879	C₂×C₄	—	10	1	no	—
1880	C₂×C₄	—	10	1	no	—
1881	C₂×C₄	—	10	1	no	—
1882	C₂×C₄	—	10	1	no	—
1883	C₂×C₄	—	10	1	no	—
1884	C₂×C₄	—	10	1	no	—
1885	C₂×C₄	—	10	1	no	—
1886	C₂×C₄	—	10	1	no	—
1887	C₂×C₄	—	10	1	no	—
1888	C₂×C₄	—	10	1	no	—
1889	C₂×C₄	—	10	1	no	—
1890	C₂×C₄	—	10	1	no	—
1891	C₂×C₄	—	10	1	no	—
1892	C₂×C₄	—	10	1	no	—
1893	C₂×C₄	—	10	1	no	—
1894	C₂×C₄	—	10	1	no	—
1895	C₂×C₄	—	20	1	no	—
1896	C₂×C₄	—	20	1	no	—
1897	C₂×C₄	—	20	1	no	—
1898	C₂×C₄	—	20	1	no	—
1899	C₂×C₄	—	20	1	no	—
1900	C₂×C₄	—	20	1	no	—
1901	C₂×C₄	—	20	1	no	—
1902	C₂×C₄	—	20	1	no	—
1903	C₂×C₄	—	20	1	no	—
1904	C₂×C₄	—	40	2	no	—
1905	C₂×C₄	—	40	2	no	—
1906	C₂×C₄	—	40	2	no	—
1907	C₂×C₄	—	40	2	no	—
1908	C₂×C₄	—	40	2	no	—
1909	C₂×C₄	—	40	2	no	—
1910	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1911	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1912	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1913	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1914	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1915	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1916	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1917	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1918	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1919	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1920	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1921	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1922	C₅	#34453	1	1	yes	characteristic, complemented, Sylow
1923	C₂²	—	2	1	no	—
1924	C₂²	—	2	1	no	—
1925	C₂²	—	2	1	no	—
1926	C₂²	—	2	1	no	—
1927	C₂²	—	2	1	no	—
1928	C₂²	—	2	1	no	—
1929	C₂²	—	2	1	no	—
1930	C₂²	—	2	1	no	—
1931	C₂²	—	2	1	no	—
1932	C₂²	—	5	1	no	—
1933	C₂²	—	5	1	no	—
1934	C₂²	—	5	1	no	—
1935	C₂²	—	5	1	no	—
1936	C₂²	—	5	1	no	—
1937	C₂²	—	5	1	no	—
1938	C₂²	—	10	1	no	—
1939	C₂²	—	10	1	no	—
1940	C₂²	—	10	1	no	—
1941	C₂²	—	10	1	no	—
1942	C₂²	—	10	1	no	—
1943	C₂²	—	10	1	no	—
1944	C₂²	—	10	1	no	—
1945	C₂²	—	10	1	no	—
1946	C₂²	—	10	1	no	—
1947	C₂²	—	20	1	no	—
1948	C₂²	—	20	1	no	—
1949	C₂²	—	20	1	no	—
1950	C₂²	—	20	1	no	—
1951	C₂²	—	20	1	no	—
1952	C₂²	—	20	1	no	—
1953	C₂²	—	20	1	no	—
1954	C₂²	—	20	1	no	—
1955	C₂²	—	20	1	no	—
1956	C₂²	—	20	1	no	—
1957	C₂²	—	20	1	no	—
1958	C₂²	—	20	1	no	—
1959	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
1960	C₄	—	2	1	no	—
1961	C₄	—	2	1	no	—
1962	C₄	—	2	1	no	—
1963	C₄	—	2	1	no	—
1964	C₄	—	2	1	no	—
1965	C₄	—	2	1	no	—
1966	C₄	—	2	1	no	—
1967	C₄	—	2	1	no	—
1968	C₄	—	2	1	no	—
1969	C₄	—	2	1	no	—
1970	C₄	—	2	1	no	—
1971	C₄	—	2	1	no	—
1972	C₄	—	10	2	no	—
1973	C₄	—	10	2	no	—
1974	C₄	—	10	1	no	—
1975	C₄	—	10	1	no	—
1976	C₄	—	10	1	no	—
1977	C₄	—	10	1	no	—
1978	C₄	—	10	1	no	—
1979	C₄	—	10	1	no	—
1980	C₄	—	10	1	no	—
1981	C₄	—	10	1	no	—
1982	C₄	—	10	1	no	—
1983	C₄	—	10	1	no	—
1984	C₄	—	10	1	no	—
1985	C₄	—	10	1	no	—
1986	C₄	—	20	1	no	—
1987	C₄	—	20	1	no	—
1988	C₄	—	20	1	no	—
1989	C₄	—	20	1	no	—
1990	C₄	—	20	1	no	—
1991	C₄	—	20	1	no	—
1992	C₄	—	20	1	no	—
1993	C₄	—	20	1	no	—
1994	C₄	—	20	1	no	—
1995	C₄	—	20	1	no	—
1996	C₄	—	20	1	no	—
1997	C₄	—	20	1	no	—
1998	C₄	—	20	1	no	—
1999	C₄	—	20	1	no	—
2000	C₂	—	4	1	no	—
2001	C₂	—	4	1	no	—
2002	C₂	—	4	1	no	—
2003	C₂	—	5	1	no	—
2004	C₂	—	5	1	no	—
2005	C₂	—	5	1	no	—
2006	C₂	—	5	1	no	—
2007	C₂	—	20	1	no	—
2008	C₂	—	20	1	no	—
2009	C₂	—	20	1	no	—
2010	C₂	#10619412	1	1	yes	characteristic
2011	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic
2012	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×#542	C₄
prime radical	D₅×#121	C₂²
cosocle	C₂²×D₅	C₂⁵
hypercenter	#542	AGL(1,𝔽₅)
hypocenter	C₅	#34453
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #542

Complements

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

N	H ≅ G/N	type
2. #10617390	C₂	semidirect
3. #10617388	C₂	semidirect
4. #10617359	C₂	semidirect
5. #10617359	C₂	semidirect
6. #10617358	C₂	semidirect
7. AGL(1,𝔽₅)×#126	C₂	semidirect
8. #10617327	C₂	semidirect
9. #10617326	C₂	semidirect
10. #10617325	C₂	semidirect
11. #10617325	C₂	semidirect
12. #10617325	C₂	semidirect
13. AGL(1,𝔽₅)×#124	C₂	semidirect
14. #10617308	C₂	semidirect
15. #10617306	C₂	semidirect
16. #10617305	C₂	semidirect
17. #10617304	C₂	semidirect
18. #10617288	C₂	semidirect
19. #10617285	C₂	semidirect
20. #10617284	C₂	semidirect
21. #10617283	C₂	semidirect
22. #10617283	C₂	semidirect
23. #10617282	C₂	semidirect
26. #10617210	C₂	semidirect
27. #10617209	C₂	semidirect
28. #10617180	C₂	semidirect
29. #10617179	C₂	semidirect
30. #10617134	C₂	semidirect
31. #10617132	C₂	semidirect
38. C₅×#542	C₄	semidirect
39. #66067	C₄	semidirect
41. #66044	C₄	semidirect
42. #66044	C₄	semidirect
45. #66016	C₄	semidirect
49. #66003	C₄	semidirect
50. #66003	C₄	semidirect
51. #65996	C₄	semidirect
52. #65996	C₄	semidirect
55. #65977	C₄	semidirect
56. #65974	C₄	semidirect
57. #65974	C₄	semidirect
62. #65937	C₄	semidirect
63. #65916	C₄	semidirect
65. #65895	C₄	semidirect
67. #65868	C₄	semidirect
287. C₅×C₄⋊Q₈	C₂×C₄	semidirect
288. C₅×#126	C₂×C₄	semidirect
289. C₅×#126	C₂×C₄	semidirect
290. C₅×#124	C₂×C₄	semidirect
291. C₅×#124	C₂×C₄	semidirect
292. C₅×#124	C₂×C₄	semidirect
293. C₅×#123	C₂×C₄	semidirect
294. C₅×#123	C₂×C₄	semidirect
295. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
296. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
297. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
299. C₄×C₅×Q₈	C₂×C₄	semidirect
300. C₄×C₅×D₄	C₂×C₄	semidirect
301. C₅×#117	C₂×C₄	semidirect
302. #4093	C₂×C₄	semidirect
303. #4093	C₂×C₄	semidirect
304. #4093	C₂×C₄	semidirect
305. #4092	C₂×C₄	semidirect
306. #4092	C₂×C₄	semidirect
307. #4092	C₂×C₄	semidirect
308. Q₈×Dic₅	C₂×C₄	semidirect
309. #4090	C₂×C₄	semidirect
310. #4090	C₂×C₄	semidirect
314. #4082	C₂×C₄	semidirect
315. #4082	C₂×C₄	semidirect
316. #4082	C₂×C₄	semidirect
317. #4081	C₂×C₄	semidirect
318. #4081	C₂×C₄	semidirect
319. D₄×Dic₅	C₂×C₄	semidirect
321. #4075	C₂×C₄	semidirect
322. #4075	C₂×C₄	semidirect
323. C₄×C₂²⋊D₅	C₂×C₄	semidirect
324. C₄×C₂²⋊D₅	C₂×C₄	semidirect
325. #4072	C₂×C₄	semidirect
326. #4070	C₂×C₄	semidirect
327. #4070	C₂×C₄	semidirect
328. #4070	C₂×C₄	semidirect
329. #4044	C₂×C₄	semidirect
330. #4044	C₂×C₄	semidirect
331. #4044	C₂×C₄	semidirect
332. #4044	C₂×C₄	semidirect
333. #4044	C₂×C₄	semidirect
334. #4044	C₂×C₄	semidirect
335. #4043	C₂×C₄	semidirect
336. #4043	C₂×C₄	semidirect
337. #4043	C₂×C₄	semidirect
338. #4042	C₂×C₄	semidirect
339. #4042	C₂×C₄	semidirect
340. #4042	C₂×C₄	semidirect
341. #4042	C₂×C₄	semidirect
342. #4042	C₂×C₄	semidirect
343. #4042	C₂×C₄	semidirect
345. #4040	C₂×C₄	semidirect
346. #4040	C₂×C₄	semidirect
347. #4040	C₂×C₄	semidirect
348. #4040	C₂×C₄	semidirect
349. #4039	C₂×C₄	semidirect
350. #4038	C₂×C₄	semidirect
351. #4038	C₂×C₄	semidirect
362. #4034	C₂×C₄	semidirect
363. #4034	C₂×C₄	semidirect
364. #4034	C₂×C₄	semidirect
365. #4034	C₂×C₄	semidirect
366. #4033	C₂×C₄	semidirect
367. #4033	C₂×C₄	semidirect
368. #4033	C₂×C₄	semidirect
369. #4032	C₂×C₄	semidirect
370. #4032	C₂×C₄	semidirect
371. #4031	C₂×C₄	semidirect
372. #4031	C₂×C₄	semidirect
373. #4031	C₂×C₄	semidirect
374. #4031	C₂×C₄	semidirect
375. #4031	C₂×C₄	semidirect
376. #4031	C₂×C₄	semidirect
377. #4031	C₂×C₄	semidirect
378. #4031	C₂×C₄	semidirect
379. #4031	C₂×C₄	semidirect
380. #4031	C₂×C₄	semidirect
381. #4031	C₂×C₄	semidirect
382. #4031	C₂×C₄	semidirect
385. #4029	C₂×C₄	semidirect
386. #4029	C₂×C₄	semidirect
387. #4029	C₂×C₄	semidirect
388. #4029	C₂×C₄	semidirect
389. #4027	C₂×C₄	semidirect
390. #4027	C₂×C₄	semidirect
403. #4025	C₂×C₄	semidirect
404. #4025	C₂×C₄	semidirect
405. #4025	C₂×C₄	semidirect
406. #4025	C₂×C₄	semidirect
407. #4025	C₂×C₄	semidirect
408. #4025	C₂×C₄	semidirect
409. #4024	C₂×C₄	semidirect
410. #4024	C₂×C₄	semidirect
411. #4024	C₂×C₄	semidirect
412. #4024	C₂×C₄	semidirect
413. #4024	C₂×C₄	semidirect
414. #4024	C₂×C₄	semidirect
415. #4023	C₂×C₄	semidirect
416. #4023	C₂×C₄	semidirect
417. #4022	C₂×C₄	semidirect
418. #4022	C₂×C₄	semidirect
419. #4021	C₂×C₄	semidirect
420. #4021	C₂×C₄	semidirect
421. #4021	C₂×C₄	semidirect
422. C₄×D₂₀	C₂×C₄	semidirect
423. #4018	C₂×C₄	semidirect
424. #4018	C₂×C₄	semidirect
429. #4015	C₂×C₄	semidirect
430. C₄×Dic₁₀	C₂×C₄	semidirect
431. C₄×Dic₁₀	C₂×C₄	semidirect
432. C₄×Dic₁₀	C₂×C₄	semidirect
800. #542	AGL(1,𝔽₅)	semidirect
1141. C₄⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1156. #126	C₂×AGL(1,𝔽₅)	semidirect
1157. #126	C₂×AGL(1,𝔽₅)	semidirect
1179. #124	C₂×AGL(1,𝔽₅)	semidirect
1180. #124	C₂×AGL(1,𝔽₅)	semidirect
1181. #124	C₂×AGL(1,𝔽₅)	semidirect
1196. #123	C₂×AGL(1,𝔽₅)	semidirect
1197. #123	C₂×AGL(1,𝔽₅)	semidirect
1219. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1220. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1221. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1239. C₄×Q₈	C₂×AGL(1,𝔽₅)	semidirect
1249. C₄×D₄	C₂×AGL(1,𝔽₅)	semidirect
1258. #117	C₂×AGL(1,𝔽₅)	semidirect
1922. C₅	#34453	semidirect

Maximal subgroups

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

subgroup	index
D₅×#542	2
#10617390	2
#10617388	2
#10617359	2
#10617358	2
AGL(1,𝔽₅)×#126	2
#10617327	2
#10617326	2
#10617325	2
AGL(1,𝔽₅)×#124	2
#10617308	2
#10617306	2
#10617305	2
#10617304	2
#10617288	2
#10617285	2
#10617284	2
#10617283	2
#10617282	2
#10617256	2
#10617255	2
#10617210	2
#10617209	2
#10617180	2
#10617179	2
#10617134	2
#10617132	2
#34453	5