Subgroups — #13044362

Order 1280.

2224 conjugacy classes of subgroups.

The subgroup lattice has 2118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#562	C₂	1	1	yes	maximal, characteristic
2	#10617347	C₂	1	1	yes	maximal, characteristic, complemented
3	#10617344	C₂	1	1	yes	maximal, characteristic, complemented
4	#10617327	C₂	1	1	yes	maximal, characteristic, complemented
5	#10617327	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617324	C₂	1	1	yes	maximal, characteristic, complemented
7	#10617324	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617308	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617307	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617306	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	#10617305	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617304	C₂	1	1	yes	maximal, characteristic, complemented
15	AGL(1,𝔽₅)×#123	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617288	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617287	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617286	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	#10617282	C₂	1	1	yes	maximal, characteristic, complemented
23	AGL(1,𝔽₅)×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	#10617256	C₂	1	1	yes	maximal, characteristic, complemented
25	#10617255	C₂	1	1	yes	maximal, characteristic, complemented
26	#10617254	C₂	1	1	yes	maximal, characteristic, complemented
27	#10617253	C₂	1	1	yes	maximal, characteristic, complemented
28	#10617252	C₂	1	1	yes	maximal, characteristic, complemented
29	#10617251	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617250	C₂	1	1	yes	maximal, characteristic, complemented
31	AGL(1,𝔽₅)×#121	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×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×#4130	C₂²	1	1	yes	characteristic
41	C₂×#4130	C₂²	1	1	yes	characteristic
42	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
43	C₂²×C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
44	C₅×#562	C₄	1	1	yes	characteristic, complemented
45	#66034	C₄	1	1	yes	characteristic, complemented
46	D₅×#125	C₂²	1	1	yes	characteristic
47	#66018	C₄	1	1	yes	characteristic, complemented
48	#66018	C₄	1	1	yes	characteristic, complemented
49	D₅×#124	C₂²	1	1	yes	characteristic
50	D₅×#124	C₂²	1	1	yes	characteristic
51	#66001	C₄	1	1	yes	characteristic, complemented
52	#66001	C₄	1	1	yes	characteristic, complemented
53	#66001	C₄	1	1	yes	characteristic, complemented
54	#66001	C₄	1	1	yes	characteristic, complemented
55	D₅×#123	C₂²	1	1	yes	characteristic
56	D₅×#123	C₂²	1	1	yes	characteristic
57	D₅×#123	C₂²	1	1	yes	characteristic
58	D₅×#123	C₂²	1	1	yes	characteristic
59	#65981	C₄	1	1	yes	characteristic, complemented
60	#65981	C₄	1	1	yes	characteristic, complemented
61	#65981	C₄	1	1	yes	characteristic, complemented
62	#65981	C₄	1	1	yes	characteristic, complemented
63	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
64	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	#65955	C₄	1	1	yes	characteristic, complemented
68	#65955	C₄	1	1	yes	characteristic, complemented
69	#65955	C₄	1	1	yes	characteristic, complemented
70	#65955	C₄	1	1	yes	characteristic, complemented
71	D₅×#121	C₂²	1	1	yes	characteristic
72	D₅×#121	C₂²	1	1	yes	characteristic
73	D₅×#121	C₂²	1	1	yes	characteristic
74	D₅×#121	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	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
80	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
81	#65780	C₂²	1	1	yes	characteristic
82	#65780	C₂²	1	1	yes	characteristic
83	#65780	C₂²	1	1	yes	characteristic
84	#65780	C₂²	1	1	yes	characteristic
85	#65780	C₂²	1	1	yes	characteristic
86	#65780	C₂²	1	1	yes	characteristic
87	#65779	C₂²	1	1	yes	characteristic
88	#65779	C₂²	1	1	yes	characteristic
89	#65779	C₂²	1	1	yes	characteristic
90	#65779	C₂²	1	1	yes	characteristic
91	#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	#65765	C₂²	1	1	yes	characteristic
100	#65765	C₂²	1	1	yes	characteristic
101	#65765	C₂²	1	1	yes	characteristic
102	#65765	C₂²	1	1	yes	characteristic
103	#65764	C₂²	1	1	yes	characteristic
104	#65764	C₂²	1	1	yes	characteristic
105	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
106	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
107	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
108	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
109	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
110	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
111	#65712	C₂²	1	1	yes	characteristic
112	#65712	C₂²	1	1	yes	characteristic
113	#65712	C₂²	1	1	yes	characteristic
114	#65712	C₂²	1	1	yes	characteristic
115	#65712	C₂²	1	1	yes	characteristic
116	#65712	C₂²	1	1	yes	characteristic
117	#65712	C₂²	1	1	yes	characteristic
118	#65712	C₂²	1	1	yes	characteristic
119	#65712	C₂²	1	1	yes	characteristic
120	#65712	C₂²	1	1	yes	characteristic
121	#65711	C₂²	1	1	yes	characteristic
122	#65711	C₂²	1	1	yes	characteristic
123	#65711	C₂²	1	1	yes	characteristic
124	#65711	C₂²	1	1	yes	characteristic
125	#65711	C₂²	1	1	yes	characteristic
126	#65711	C₂²	1	1	yes	characteristic
127	#65711	C₂²	1	1	yes	characteristic
128	#65711	C₂²	1	1	yes	characteristic
129	#65711	C₂²	1	1	yes	characteristic
130	#65711	C₂²	1	1	yes	characteristic
131	#65711	C₂²	1	1	yes	characteristic
132	#65711	C₂²	1	1	yes	characteristic
133	#65711	C₂²	1	1	yes	characteristic
134	#65711	C₂²	1	1	yes	characteristic
135	#65711	C₂²	1	1	yes	characteristic
136	#65711	C₂²	1	1	yes	characteristic
137	#65711	C₂²	1	1	yes	characteristic
138	#65711	C₂²	1	1	yes	characteristic
139	#65711	C₂²	1	1	yes	characteristic
140	#65711	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
151	#65700	C₂²	1	1	yes	characteristic
152	#65700	C₂²	1	1	yes	characteristic
153	#65700	C₂²	1	1	yes	characteristic
154	#65700	C₂²	1	1	yes	characteristic
155	#65700	C₂²	1	1	yes	characteristic
156	#65700	C₂²	1	1	yes	characteristic
157	#65700	C₂²	1	1	yes	characteristic
158	#65700	C₂²	1	1	yes	characteristic
159	#65700	C₂²	1	1	yes	characteristic
160	#65700	C₂²	1	1	yes	characteristic
161	#65700	C₂²	1	1	yes	characteristic
162	#65700	C₂²	1	1	yes	characteristic
163	#65700	C₂²	1	1	yes	characteristic
164	#65700	C₂²	1	1	yes	characteristic
165	#65700	C₂²	1	1	yes	characteristic
166	#65700	C₂²	1	1	yes	characteristic
167	#65700	C₂²	1	1	yes	characteristic
168	#65700	C₂²	1	1	yes	characteristic
169	#65700	C₂²	1	1	yes	characteristic
170	#65700	C₂²	1	1	yes	characteristic
171	#65700	C₂²	1	1	yes	characteristic
172	#65700	C₂²	1	1	yes	characteristic
173	#65700	C₂²	1	1	yes	characteristic
174	#65700	C₂²	1	1	yes	characteristic
175	#65699	C₂²	1	1	yes	characteristic
176	#65699	C₂²	1	1	yes	characteristic
177	#65699	C₂²	1	1	yes	characteristic
178	#65699	C₂²	1	1	yes	characteristic
179	#65699	C₂²	1	1	yes	characteristic
180	#65699	C₂²	1	1	yes	characteristic
181	#65699	C₂²	1	1	yes	characteristic
182	#65699	C₂²	1	1	yes	characteristic
183	#65699	C₂²	1	1	yes	characteristic
184	#65699	C₂²	1	1	yes	characteristic
185	#65699	C₂²	1	1	yes	characteristic
186	#65699	C₂²	1	1	yes	characteristic
187	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
188	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
189	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
190	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
191	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
192	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
193	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
194	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
195	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
196	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
197	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
198	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
199	#65688	C₂²	1	1	yes	characteristic
200	#65686	C₂²	1	1	yes	characteristic
201	#65686	C₂²	1	1	yes	characteristic
202	#65686	C₂²	1	1	yes	characteristic
203	#34519	—	5	1	no	maximal, Sylow
204	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
205	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
206	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
207	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
208	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
209	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
210	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
211	C₂³×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×Q₈×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	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
219	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
223	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	Q₈×AGL(1,𝔽₅)	—	4	2	no	—
249	Q₈×AGL(1,𝔽₅)	—	4	2	no	—
250	D₄×AGL(1,𝔽₅)	—	4	2	no	—
251	D₄×AGL(1,𝔽₅)	—	4	2	no	—
252	D₄×AGL(1,𝔽₅)	—	4	2	no	—
253	D₄×AGL(1,𝔽₅)	—	4	2	no	—
254	D₄×AGL(1,𝔽₅)	—	4	2	no	—
255	D₄×AGL(1,𝔽₅)	—	4	2	no	—
256	#4130	—	4	2	no	—
257	#4130	—	4	2	no	—
258	C₂×C₄⋊AGL(1,𝔽₅)	—	4	2	no	—
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)	—	4	2	no	—
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	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
305	C₅×#124	C₂×C₄	1	1	yes	characteristic, complemented
306	C₅×#124	C₂×C₄	1	1	yes	characteristic, complemented
307	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
308	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
309	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
310	C₅×#123	C₂×C₄	1	1	yes	characteristic, complemented
311	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
312	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
313	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
314	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
315	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
316	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
317	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
318	C₅×#121	C₂×C₄	1	1	yes	characteristic, complemented
319	#4093	C₂×C₄	1	1	yes	characteristic, complemented
320	#4093	C₂×C₄	1	1	yes	characteristic, complemented
321	#4092	C₂×C₄	1	1	yes	characteristic, complemented
322	#4092	C₂×C₄	1	1	yes	characteristic, complemented
323	#4092	C₂×C₄	1	1	yes	characteristic, complemented
324	#4092	C₂×C₄	1	1	yes	characteristic, complemented
325	#4085	C₂×C₄	1	1	yes	characteristic, complemented
326	#4085	C₂×C₄	1	1	yes	characteristic, complemented
327	#4085	C₂×C₄	1	1	yes	characteristic, complemented
328	#4085	C₂×C₄	1	1	yes	characteristic, complemented
329	#4085	C₂×C₄	1	1	yes	characteristic, complemented
330	#4085	C₂×C₄	1	1	yes	characteristic, complemented
331	#4085	C₂×C₄	1	1	yes	characteristic, complemented
332	#4085	C₂×C₄	1	1	yes	characteristic, complemented
333	#4084	C₂×C₄	1	1	yes	characteristic, complemented
334	#4084	C₂×C₄	1	1	yes	characteristic, complemented
335	#4084	C₂×C₄	1	1	yes	characteristic, complemented
336	#4084	C₂×C₄	1	1	yes	characteristic, complemented
337	#4082	C₂×C₄	1	1	yes	characteristic, complemented
338	#4082	C₂×C₄	1	1	yes	characteristic, complemented
339	#4081	C₂×C₄	1	1	yes	characteristic, complemented
340	#4081	C₂×C₄	1	1	yes	characteristic, complemented
341	#4081	C₂×C₄	1	1	yes	characteristic, complemented
342	#4081	C₂×C₄	1	1	yes	characteristic, complemented
343	#4076	C₂×C₄	1	1	yes	characteristic, complemented
344	#4076	C₂×C₄	1	1	yes	characteristic, complemented
345	#4076	C₂×C₄	1	1	yes	characteristic, complemented
346	#4076	C₂×C₄	1	1	yes	characteristic, complemented
347	#4075	C₂×C₄	1	1	yes	characteristic, complemented
348	#4075	C₂×C₄	1	1	yes	characteristic, complemented
349	#4075	C₂×C₄	1	1	yes	characteristic, complemented
350	#4075	C₂×C₄	1	1	yes	characteristic, complemented
351	#4070	C₂×C₄	1	1	yes	characteristic, complemented
352	#4070	C₂×C₄	1	1	yes	characteristic, complemented
353	#4070	C₂×C₄	1	1	yes	characteristic, complemented
354	#4070	C₂×C₄	1	1	yes	characteristic, complemented
355	#4043	C₂×C₄	1	1	yes	characteristic, complemented
356	#4043	C₂×C₄	1	1	yes	characteristic, complemented
357	#4043	C₂×C₄	1	1	yes	characteristic, complemented
358	#4043	C₂×C₄	1	1	yes	characteristic, complemented
359	#4042	C₂×C₄	1	1	yes	characteristic, complemented
360	#4042	C₂×C₄	1	1	yes	characteristic, complemented
361	#4042	C₂×C₄	1	1	yes	characteristic, complemented
362	#4042	C₂×C₄	1	1	yes	characteristic, complemented
363	#4042	C₂×C₄	1	1	yes	characteristic, complemented
364	#4042	C₂×C₄	1	1	yes	characteristic, complemented
365	#4042	C₂×C₄	1	1	yes	characteristic, complemented
366	#4042	C₂×C₄	1	1	yes	characteristic, complemented
367	#4041	C₂×C₄	1	1	yes	characteristic, complemented
368	#4041	C₂×C₄	1	1	yes	characteristic, complemented
369	#4041	C₂×C₄	1	1	yes	characteristic, complemented
370	#4041	C₂×C₄	1	1	yes	characteristic, complemented
371	#4040	C₂×C₄	1	1	yes	characteristic, complemented
372	#4040	C₂×C₄	1	1	yes	characteristic, complemented
373	#4040	C₂×C₄	1	1	yes	characteristic, complemented
374	#4040	C₂×C₄	1	1	yes	characteristic, complemented
375	#4040	C₂×C₄	1	1	yes	characteristic, complemented
376	#4040	C₂×C₄	1	1	yes	characteristic, complemented
377	#4040	C₂×C₄	1	1	yes	characteristic, complemented
378	#4040	C₂×C₄	1	1	yes	characteristic, complemented
379	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
380	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
381	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
382	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
383	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
384	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
385	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
386	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
387	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
388	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
389	#4036	C₂×C₄	1	1	yes	characteristic, complemented
390	#4036	C₂×C₄	1	1	yes	characteristic, complemented
391	#4035	C₂×C₄	1	1	yes	characteristic, complemented
392	#4035	C₂×C₄	1	1	yes	characteristic, complemented
393	#4035	C₂×C₄	1	1	yes	characteristic, complemented
394	#4035	C₂×C₄	1	1	yes	characteristic, complemented
395	#4032	C₂×C₄	1	1	yes	characteristic, complemented
396	#4032	C₂×C₄	1	1	yes	characteristic, complemented
397	#4032	C₂×C₄	1	1	yes	characteristic, complemented
398	#4032	C₂×C₄	1	1	yes	characteristic, complemented
399	#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	#4031	C₂×C₄	1	1	yes	characteristic, complemented
404	#4031	C₂×C₄	1	1	yes	characteristic, complemented
405	#4031	C₂×C₄	1	1	yes	characteristic, complemented
406	#4031	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	#4030	C₂×C₄	1	1	yes	characteristic, complemented
410	#4030	C₂×C₄	1	1	yes	characteristic, complemented
411	#4030	C₂×C₄	1	1	yes	characteristic, complemented
412	#4030	C₂×C₄	1	1	yes	characteristic, complemented
413	#4030	C₂×C₄	1	1	yes	characteristic, complemented
414	#4030	C₂×C₄	1	1	yes	characteristic, complemented
415	#4029	C₂×C₄	1	1	yes	characteristic, complemented
416	#4029	C₂×C₄	1	1	yes	characteristic, complemented
417	#4029	C₂×C₄	1	1	yes	characteristic, complemented
418	#4029	C₂×C₄	1	1	yes	characteristic, complemented
419	#4029	C₂×C₄	1	1	yes	characteristic, complemented
420	#4029	C₂×C₄	1	1	yes	characteristic, complemented
421	#4029	C₂×C₄	1	1	yes	characteristic, complemented
422	#4029	C₂×C₄	1	1	yes	characteristic, complemented
423	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
424	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
425	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
426	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	#4024	C₂×C₄	1	1	yes	characteristic, complemented
436	#4024	C₂×C₄	1	1	yes	characteristic, complemented
437	#4024	C₂×C₄	1	1	yes	characteristic, complemented
438	#4024	C₂×C₄	1	1	yes	characteristic, complemented
439	#4024	C₂×C₄	1	1	yes	characteristic, complemented
440	#4024	C₂×C₄	1	1	yes	characteristic, complemented
441	#4024	C₂×C₄	1	1	yes	characteristic, complemented
442	#4024	C₂×C₄	1	1	yes	characteristic, complemented
443	#4021	C₂×C₄	1	1	yes	characteristic, complemented
444	#4021	C₂×C₄	1	1	yes	characteristic, complemented
445	C₄²×D₅	C₂³	1	1	yes	characteristic
446	#4016	C₂×C₄	1	1	yes	characteristic, complemented
447	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
448	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
449	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
450	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
451	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
452	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
453	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
454	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
455	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
456	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
457	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
458	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
459	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
460	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
461	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
462	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
463	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
464	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
465	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
466	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
467	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
468	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
469	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
470	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
471	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
472	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
473	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
474	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
475	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
476	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
477	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
478	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
479	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
480	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
481	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
482	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
483	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
484	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
485	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
486	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
487	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
488	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
489	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
490	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
491	C₂×#562	—	5	1	no	—
492	#2378	—	5	1	no	—
493	#2377	—	5	1	no	—
494	#2376	—	5	1	no	—
495	#2374	—	5	1	no	—
496	#2372	—	5	1	no	—
497	#2372	—	5	1	no	—
498	#2371	—	5	1	no	—
499	#2368	—	5	1	no	—
500	#2364	—	5	1	no	—
501	#2363	—	5	1	no	—
502	#2362	—	5	1	no	—
503	#2361	—	5	1	no	—
504	#2360	—	5	1	no	—
505	#2359	—	5	1	no	—
506	#2359	—	5	1	no	—
507	#2335	—	5	1	no	—
508	#2335	—	5	1	no	—
509	#2333	—	5	1	no	—
510	#2332	—	5	1	no	—
511	#2330	—	5	1	no	—
512	#2329	—	5	1	no	—
513	#2326	—	5	1	no	—
514	#2326	—	5	1	no	—
515	#2325	—	5	1	no	—
516	#2324	—	5	1	no	—
517	#2323	—	5	1	no	—
518	#2322	—	5	1	no	—
519	C₄×C₂²⋊Q₈	—	5	1	no	—
520	C₄×#123	—	5	1	no	—
521	C₄×#121	—	5	1	no	—
522	C₂³×D₅	C₂⁴	1	1	yes	characteristic
523	C₂³×D₅	C₂⁴	1	1	yes	characteristic
524	C₂³×D₅	C₂⁴	1	1	yes	characteristic
525	C₂³×D₅	C₂⁴	1	1	yes	characteristic
526	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
527	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
528	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
529	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
530	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
531	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
532	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
533	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
534	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
535	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
536	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
537	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
538	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
539	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
540	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
541	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
542	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
543	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
544	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
545	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
546	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
547	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
548	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
549	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
550	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
551	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
552	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
553	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
554	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
555	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
556	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
557	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
558	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
559	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
560	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
561	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
562	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
563	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
564	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
565	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
566	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
572	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
574	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
575	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
576	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
577	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
590	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
591	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
592	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
593	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
594	Q₈×D₅	—	4	1	no	—
595	Q₈×D₅	—	4	1	no	—
596	Q₈×D₅	—	4	1	no	—
597	Q₈×D₅	—	4	1	no	—
598	D₄×D₅	—	4	1	no	—
599	D₄×D₅	—	4	1	no	—
600	D₄×D₅	—	4	1	no	—
601	D₄×D₅	—	4	1	no	—
602	D₄×D₅	—	4	1	no	—
603	D₄×D₅	—	4	1	no	—
604	D₄×D₅	—	4	1	no	—
605	D₄×D₅	—	4	1	no	—
606	D₄×D₅	—	4	1	no	—
607	D₄×D₅	—	4	1	no	—
608	D₄×D₅	—	4	1	no	—
609	D₄×D₅	—	4	1	no	—
610	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
611	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
612	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
613	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
614	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
615	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₄×D₅	—	4	1	no	—
617	C₂×C₄×D₅	—	4	1	no	—
618	C₂×C₄×D₅	—	4	1	no	—
619	C₂×C₄×D₅	—	4	1	no	—
620	C₂×C₄×D₅	—	4	1	no	—
621	C₂×C₄×D₅	—	4	1	no	—
622	C₂×C₄×D₅	—	4	1	no	—
623	C₂×C₄×D₅	—	4	1	no	—
624	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
635	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
638	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
639	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
640	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
641	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
642	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
643	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
644	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
645	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
646	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
647	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
648	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
650	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
651	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
652	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
653	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
654	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
655	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
656	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
657	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
658	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
659	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
660	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
661	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
662	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
663	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
664	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
665	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
666	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
667	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
668	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
669	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
670	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
671	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
672	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
673	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
674	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
675	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
676	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
677	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
678	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
679	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
680	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
681	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
682	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
683	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
684	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
685	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
686	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
687	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
688	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
689	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
690	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
691	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
692	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
693	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
694	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
695	C₄×AGL(1,𝔽₅)	—	2	2	no	—
696	C₄×AGL(1,𝔽₅)	—	2	2	no	—
697	C₄×AGL(1,𝔽₅)	—	2	2	no	—
698	C₄×AGL(1,𝔽₅)	—	2	2	no	—
699	C₄×AGL(1,𝔽₅)	—	2	2	no	—
700	C₄×AGL(1,𝔽₅)	—	2	2	no	—
701	C₄×AGL(1,𝔽₅)	—	2	2	no	—
702	C₄×AGL(1,𝔽₅)	—	4	1	no	—
703	C₄×AGL(1,𝔽₅)	—	4	1	no	—
704	C₄×AGL(1,𝔽₅)	—	4	1	no	—
705	C₄×AGL(1,𝔽₅)	—	4	1	no	—
706	C₄×AGL(1,𝔽₅)	—	4	1	no	—
707	C₄×AGL(1,𝔽₅)	—	4	1	no	—
708	C₄×AGL(1,𝔽₅)	—	4	1	no	—
709	C₄×AGL(1,𝔽₅)	—	4	1	no	—
710	C₄×AGL(1,𝔽₅)	—	4	1	no	—
711	C₄×AGL(1,𝔽₅)	—	4	1	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	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
718	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
719	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
720	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
721	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
722	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
723	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
724	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
725	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
726	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
727	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
728	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
729	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
730	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
731	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
732	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
733	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
734	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
735	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
736	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
737	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
738	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
739	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
740	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
741	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
742	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
743	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
744	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
745	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
746	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
747	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
748	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
749	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
750	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
751	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
752	#685	C₂²×C₄	1	1	yes	characteristic
753	#685	C₂²×C₄	1	1	yes	characteristic
754	#685	C₂²×C₄	1	1	yes	characteristic
755	#685	C₂²×C₄	1	1	yes	characteristic
756	#685	C₂²×C₄	1	1	yes	characteristic
757	#685	C₂²×C₄	1	1	yes	characteristic
758	#685	C₂²×C₄	1	1	yes	characteristic
759	#685	C₂²×C₄	1	1	yes	characteristic
760	#685	C₂²×C₄	1	1	yes	characteristic
761	#685	C₂²×C₄	1	1	yes	characteristic
762	#685	C₂²×C₄	1	1	yes	characteristic
763	#685	C₂²×C₄	1	1	yes	characteristic
764	#685	C₂²×C₄	1	1	yes	characteristic
765	#685	C₂²×C₄	1	1	yes	characteristic
766	#685	C₂²×C₄	1	1	yes	characteristic
767	#685	C₂²×C₄	1	1	yes	characteristic
768	#685	C₂²×C₄	1	1	yes	characteristic
769	#685	C₂²×C₄	1	1	yes	characteristic
770	#685	C₂²×C₄	1	1	yes	characteristic
771	#685	C₂²×C₄	1	1	yes	characteristic
772	#685	C₂²×C₄	1	1	yes	characteristic
773	#685	C₂²×C₄	1	1	yes	characteristic
774	#685	C₂²×C₄	1	1	yes	characteristic
775	#685	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	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
786	#683	C₂²×C₄	1	1	yes	characteristic
787	#683	C₂²×C₄	1	1	yes	characteristic
788	#683	C₂²×C₄	1	1	yes	characteristic
789	#683	C₂²×C₄	1	1	yes	characteristic
790	#683	C₂²×C₄	1	1	yes	characteristic
791	#683	C₂²×C₄	1	1	yes	characteristic
792	#683	C₂²×C₄	1	1	yes	characteristic
793	#683	C₂²×C₄	1	1	yes	characteristic
794	#683	C₂²×C₄	1	1	yes	characteristic
795	#683	C₂²×C₄	1	1	yes	characteristic
796	#683	C₂²×C₄	1	1	yes	characteristic
797	#683	C₂²×C₄	1	1	yes	characteristic
798	#683	C₂²×C₄	1	1	yes	characteristic
799	#683	C₂²×C₄	1	1	yes	characteristic
800	#683	C₂²×C₄	1	1	yes	characteristic
801	#683	C₂²×C₄	1	1	yes	characteristic
802	#683	C₂²×C₄	1	1	yes	characteristic
803	#683	C₂²×C₄	1	1	yes	characteristic
804	#683	C₂²×C₄	1	1	yes	characteristic
805	#683	C₂²×C₄	1	1	yes	characteristic
806	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
807	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
808	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
809	#562	—	5	1	no	—
810	#562	—	5	1	no	—
811	#562	—	5	1	no	—
812	#562	—	5	1	no	—
813	#562	—	5	1	no	—
814	#562	—	5	1	no	—
815	#562	—	5	1	no	—
816	#562	—	5	1	no	—
817	#562	—	5	1	no	—
818	#562	—	5	1	no	—
819	#562	—	5	1	no	—
820	#562	—	5	1	no	—
821	#562	—	5	1	no	—
822	#562	—	5	1	no	—
823	#562	—	5	1	no	—
824	#562	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
825	C₂×#125	—	5	1	no	—
826	C₂×#124	—	5	1	no	—
827	C₂×#124	—	5	1	no	—
828	C₂×#123	—	5	1	no	—
829	C₂×#123	—	5	1	no	—
830	C₂×#123	—	5	1	no	—
831	C₂×#123	—	5	1	no	—
832	C₂×C₂²⋊Q₈	—	5	1	no	—
833	C₂×C₂²⋊Q₈	—	5	1	no	—
834	C₂×C₂²⋊Q₈	—	5	1	no	—
835	C₂×C₂²⋊Q₈	—	5	1	no	—
836	C₂×#121	—	5	1	no	—
837	C₂×#121	—	5	1	no	—
838	C₂×#121	—	5	1	no	—
839	C₂×#121	—	5	1	no	—
840	C₂×C₄×Q₈	—	5	1	no	—
841	C₂×C₄×Q₈	—	5	1	no	—
842	C₂×C₄×D₄	—	5	1	no	—
843	C₂×C₄×D₄	—	5	1	no	—
844	C₂×C₄×D₄	—	5	1	no	—
845	C₂×C₄×D₄	—	5	1	no	—
846	C₂×C₄×D₄	—	5	1	no	—
847	C₂×C₄×D₄	—	5	1	no	—
848	C₂×#117	—	5	1	no	—
849	C₂×#117	—	5	1	no	—
850	C₂²×C₄⋊C₄	—	5	1	no	—
851	C₂²×C₄²	—	5	1	no	—
852	#391	—	5	1	no	—
853	#391	—	5	1	no	—
854	#391	—	5	1	no	—
855	#391	—	5	1	no	—
856	#391	—	5	1	no	—
857	#391	—	5	1	no	—
858	#390	—	5	1	no	—
859	#390	—	5	1	no	—
860	#390	—	5	1	no	—
861	#390	—	5	1	no	—
862	#390	—	5	1	no	—
863	#390	—	5	1	no	—
864	#389	—	5	1	no	—
865	#389	—	5	1	no	—
866	#389	—	5	1	no	—
867	#389	—	5	1	no	—
868	#389	—	5	1	no	—
869	#389	—	5	1	no	—
870	#389	—	5	1	no	—
871	#389	—	5	1	no	—
872	#389	—	5	1	no	—
873	#389	—	5	1	no	—
874	#388	—	5	1	no	—
875	#388	—	5	1	no	—
876	#388	—	5	1	no	—
877	#388	—	5	1	no	—
878	#388	—	5	1	no	—
879	#388	—	5	1	no	—
880	#388	—	5	1	no	—
881	#388	—	5	1	no	—
882	#388	—	5	1	no	—
883	#388	—	5	1	no	—
884	#388	—	5	1	no	—
885	#388	—	5	1	no	—
886	#388	—	5	1	no	—
887	#388	—	5	1	no	—
888	#388	—	5	1	no	—
889	#388	—	5	1	no	—
890	#388	—	5	1	no	—
891	#388	—	5	1	no	—
892	#388	—	5	1	no	—
893	#388	—	5	1	no	—
894	#388	—	5	1	no	—
895	#388	—	5	1	no	—
896	#388	—	5	1	no	—
897	#388	—	5	1	no	—
898	#387	—	5	1	no	—
899	#387	—	5	1	no	—
900	#387	—	5	1	no	—
901	#387	—	5	1	no	—
902	#387	—	5	1	no	—
903	#387	—	5	1	no	—
904	#387	—	5	1	no	—
905	#387	—	5	1	no	—
906	#387	—	5	1	no	—
907	#387	—	5	1	no	—
908	#387	—	5	1	no	—
909	#387	—	5	1	no	—
910	#387	—	5	1	no	—
911	#387	—	5	1	no	—
912	#387	—	5	1	no	—
913	#387	—	5	1	no	—
914	#387	—	5	1	no	—
915	#387	—	5	1	no	—
916	#387	—	5	1	no	—
917	#387	—	5	1	no	—
918	#386	—	5	1	no	—
919	#386	—	5	1	no	—
920	#386	—	5	1	no	—
921	#386	—	5	1	no	—
922	#386	—	5	1	no	—
923	#386	—	5	1	no	—
924	#386	—	5	1	no	—
925	#386	—	5	1	no	—
926	#386	—	5	1	no	—
927	#386	—	5	1	no	—
928	#386	—	5	1	no	—
929	#386	—	5	1	no	—
930	#385	—	5	1	no	—
931	#385	—	5	1	no	—
932	#385	—	5	1	no	—
933	#385	—	5	1	no	—
934	#385	—	5	1	no	—
935	#385	—	5	1	no	—
936	#385	—	5	1	no	—
937	#385	—	5	1	no	—
938	#385	—	5	1	no	—
939	#385	—	5	1	no	—
940	#385	—	5	1	no	—
941	#385	—	5	1	no	—
942	#384	—	5	1	no	—
943	#381	—	5	1	no	—
944	#381	—	5	1	no	—
945	#380	—	5	1	no	—
946	#380	—	5	1	no	—
947	#380	—	5	1	no	—
948	#380	—	5	1	no	—
949	C₄×C₄⋊C₄	—	5	1	no	—
950	C₄×C₄⋊C₄	—	5	1	no	—
951	C₄×C₄⋊C₄	—	5	1	no	—
952	C₄×C₄⋊C₄	—	5	1	no	—
953	C₄×C₄⋊C₄	—	5	1	no	—
954	C₄×C₄⋊C₄	—	5	1	no	—
955	C₄×C₄⋊C₄	—	5	1	no	—
956	C₄×C₄⋊C₄	—	5	1	no	—
957	C₄×C₄⋊C₄	—	5	1	no	—
958	C₄×C₄⋊C₄	—	5	1	no	—
959	C₄×C₂²⋊C₄	—	5	1	no	—
960	C₄×C₂²⋊C₄	—	5	1	no	—
961	C₄×C₂²⋊C₄	—	5	1	no	—
962	C₄×C₂²⋊C₄	—	5	1	no	—
963	C₄×C₂²⋊C₄	—	5	1	no	—
964	C₄×C₂²⋊C₄	—	5	1	no	—
965	C₄×C₂²⋊C₄	—	5	1	no	—
966	C₄×C₂²⋊C₄	—	5	1	no	—
967	C₄×C₂²⋊C₄	—	5	1	no	—
968	C₄×C₂²⋊C₄	—	5	1	no	—
969	C₄×C₂²⋊C₄	—	5	1	no	—
970	C₄×C₂²⋊C₄	—	5	1	no	—
971	C₄×C₂²⋊C₄	—	5	1	no	—
972	C₄×C₂²⋊C₄	—	5	1	no	—
973	C₄×C₂²⋊C₄	—	5	1	no	—
974	C₄×C₂²⋊C₄	—	5	1	no	—
975	#376	—	5	1	no	—
976	#376	—	5	1	no	—
977	#376	—	5	1	no	—
978	C₂×#95	—	5	1	no	—
979	C₂×#95	—	5	1	no	—
980	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
981	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
982	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
983	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
984	C₂²×D₅	—	2	1	no	—
985	C₂²×D₅	—	2	1	no	—
986	C₂²×D₅	—	2	1	no	—
987	C₂²×D₅	—	2	1	no	—
988	C₂²×D₅	—	2	1	no	—
989	C₂²×D₅	—	2	1	no	—
990	C₂²×D₅	—	2	1	no	—
991	C₂²×D₅	—	2	1	no	—
992	C₂²×D₅	—	2	1	no	—
993	C₂²×D₅	—	2	1	no	—
994	C₂²×D₅	—	2	1	no	—
995	C₂²×D₅	—	2	1	no	—
996	C₂²×D₅	—	2	1	no	—
997	C₂²×D₅	—	2	1	no	—
998	C₂²×D₅	—	2	1	no	—
999	C₂²×D₅	—	2	1	no	—
1000	C₂²×D₅	—	2	1	no	—
1001	C₂²×D₅	—	2	1	no	—
1002	C₂²×D₅	—	2	1	no	—
1003	C₂²×D₅	—	2	1	no	—
1004	C₂²×D₅	—	2	1	no	—
1005	C₂²×D₅	—	2	1	no	—
1006	C₂²×D₅	—	2	1	no	—
1007	C₂²×D₅	—	2	1	no	—
1008	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1009	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1010	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1011	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
1012	C₂²×D₅	C₂⁵	1	1	yes	characteristic
1013	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1014	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1015	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1016	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1017	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1018	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1019	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1020	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1021	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1022	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1023	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1024	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1025	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1026	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1027	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1028	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1029	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1030	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1031	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1032	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1033	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1034	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1035	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1036	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1037	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1038	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1039	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1040	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1041	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1042	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1043	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1044	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1045	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1046	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1047	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1048	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1049	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1050	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1051	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1052	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1053	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1054	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1055	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1056	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1057	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1058	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1059	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1060	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1061	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1062	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1063	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1064	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1065	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1066	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1067	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1068	C₂×AGL(1,𝔽₅)	2₋¹⁺⁴	1	2	yes	—
1069	C₅×Q₈	—	4	1	no	—
1070	C₅×Q₈	—	4	1	no	—
1071	C₅×D₄	—	4	1	no	—
1072	C₅×D₄	—	4	1	no	—
1073	C₅×D₄	—	4	1	no	—
1074	C₅×D₄	—	4	1	no	—
1075	C₅×D₄	—	4	1	no	—
1076	C₅×D₄	—	4	1	no	—
1077	C₂×C₄×C₅	—	4	1	no	—
1078	C₂×C₄×C₅	—	4	1	no	—
1079	C₂×C₄×C₅	—	4	1	no	—
1080	C₂×C₄×C₅	—	4	1	no	—
1081	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1082	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1083	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1084	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1085	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1086	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1087	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1088	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1089	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1090	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1091	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1092	C₂²⋊D₅	—	4	1	no	—
1093	C₂²⋊D₅	—	4	1	no	—
1094	C₂²⋊D₅	—	4	1	no	—
1095	C₂²⋊D₅	—	4	1	no	—
1096	C₂²⋊D₅	—	4	1	no	—
1097	C₂²⋊D₅	—	4	1	no	—
1098	C₂²⋊D₅	—	4	1	no	—
1099	C₂²⋊D₅	—	4	1	no	—
1100	C₂²⋊D₅	—	4	1	no	—
1101	C₂²⋊D₅	—	4	1	no	—
1102	C₂²⋊D₅	—	4	1	no	—
1103	C₂²⋊D₅	—	4	1	no	—
1104	C₂×Dic₅	—	4	1	no	—
1105	C₂×Dic₅	—	4	1	no	—
1106	C₂×Dic₅	—	4	1	no	—
1107	C₂×Dic₅	—	4	1	no	—
1108	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1109	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1110	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1111	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1112	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1113	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1114	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1115	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1116	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1117	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1118	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1119	D₂₀	—	4	1	no	—
1120	D₂₀	—	4	1	no	—
1121	D₂₀	—	4	1	no	—
1122	D₂₀	—	4	1	no	—
1123	D₂₀	—	4	1	no	—
1124	D₂₀	—	4	1	no	—
1125	C₄×D₅	—	2	1	no	—
1126	C₄×D₅	—	2	1	no	—
1127	C₄×D₅	—	2	1	no	—
1128	C₄×D₅	—	2	1	no	—
1129	C₄×D₅	—	2	1	no	—
1130	C₄×D₅	—	2	1	no	—
1131	C₄×D₅	—	2	1	no	—
1132	C₄×D₅	—	2	1	no	—
1133	C₄×D₅	—	2	1	no	—
1134	C₄×D₅	—	2	1	no	—
1135	C₄×D₅	—	2	1	no	—
1136	C₄×D₅	—	2	1	no	—
1137	C₄×D₅	—	2	1	no	—
1138	C₄×D₅	—	2	1	no	—
1139	C₄×D₅	—	2	1	no	—
1140	C₄×D₅	—	2	1	no	—
1141	C₄×D₅	—	2	1	no	—
1142	C₄×D₅	—	2	1	no	—
1143	C₄×D₅	—	2	1	no	—
1144	C₄×D₅	—	2	1	no	—
1145	C₄×D₅	—	2	1	no	—
1146	C₄×D₅	—	2	1	no	—
1147	C₄×D₅	—	4	1	no	—
1148	C₄×D₅	—	4	1	no	—
1149	C₄×D₅	—	4	1	no	—
1150	C₄×D₅	—	4	1	no	—
1151	C₄×D₅	—	4	1	no	—
1152	C₄×D₅	—	4	1	no	—
1153	C₄×D₅	—	4	1	no	—
1154	C₄×D₅	—	4	1	no	—
1155	Dic₁₀	—	4	1	no	—
1156	Dic₁₀	—	4	1	no	—
1157	Dic₁₀	—	4	1	no	—
1158	Dic₁₀	—	4	1	no	—
1159	Dic₁₀	—	4	1	no	—
1160	Dic₁₀	—	4	1	no	—
1161	C₂²×Q₈	—	5	1	no	—
1162	C₂²×Q₈	—	5	1	no	—
1163	C₂²×D₄	—	5	1	no	—
1164	C₂²×D₄	—	5	1	no	—
1165	C₂²×D₄	—	5	1	no	—
1166	C₂²×D₄	—	5	1	no	—
1167	C₂²×D₄	—	5	1	no	—
1168	C₂²×D₄	—	5	1	no	—
1169	C₂³×C₄	—	5	1	no	—
1170	C₂³×C₄	—	5	1	no	—
1171	C₂³×C₄	—	5	1	no	—
1172	C₂³×C₄	—	5	1	no	—
1173	C₂³×C₄	—	5	1	no	—
1174	C₂³×C₄	—	5	1	no	—
1175	C₂³×C₄	—	5	1	no	—
1176	C₂³×C₄	—	5	1	no	—
1177	C₂³×C₄	—	5	1	no	—
1178	C₂³×C₄	—	5	1	no	—
1179	C₂³×C₄	—	5	1	no	—
1180	C₂³×C₄	—	5	1	no	—
1181	#125	—	5	1	no	—
1182	#125	—	5	1	no	—
1183	#125	—	5	1	no	—
1184	#125	—	5	1	no	—
1185	#125	—	5	1	no	—
1186	#125	—	5	1	no	—
1187	#125	—	5	1	no	—
1188	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1189	#124	—	5	1	no	—
1190	#124	—	5	1	no	—
1191	#124	—	5	1	no	—
1192	#124	—	5	1	no	—
1193	#124	—	5	1	no	—
1194	#124	—	5	1	no	—
1195	#124	—	5	1	no	—
1196	#124	—	5	1	no	—
1197	#124	—	5	1	no	—
1198	#124	—	5	1	no	—
1199	#124	—	5	1	no	—
1200	#124	—	5	1	no	—
1201	#124	—	5	1	no	—
1202	#124	—	5	1	no	—
1203	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1204	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1205	#123	—	5	1	no	—
1206	#123	—	5	1	no	—
1207	#123	—	5	1	no	—
1208	#123	—	5	1	no	—
1209	#123	—	5	1	no	—
1210	#123	—	5	1	no	—
1211	#123	—	5	1	no	—
1212	#123	—	5	1	no	—
1213	#123	—	5	1	no	—
1214	#123	—	5	1	no	—
1215	#123	—	5	1	no	—
1216	#123	—	5	1	no	—
1217	#123	—	5	1	no	—
1218	#123	—	5	1	no	—
1219	#123	—	5	1	no	—
1220	#123	—	5	1	no	—
1221	#123	—	5	1	no	—
1222	#123	—	5	1	no	—
1223	#123	—	5	1	no	—
1224	#123	—	5	1	no	—
1225	#123	—	5	1	no	—
1226	#123	—	5	1	no	—
1227	#123	—	5	1	no	—
1228	#123	—	5	1	no	—
1229	#123	—	5	1	no	—
1230	#123	—	5	1	no	—
1231	#123	—	5	1	no	—
1232	#123	—	5	1	no	—
1233	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1234	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1235	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1236	#123	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1237	C₂²⋊Q₈	—	5	1	no	—
1238	C₂²⋊Q₈	—	5	1	no	—
1239	C₂²⋊Q₈	—	5	1	no	—
1240	C₂²⋊Q₈	—	5	1	no	—
1241	C₂²⋊Q₈	—	5	1	no	—
1242	C₂²⋊Q₈	—	5	1	no	—
1243	C₂²⋊Q₈	—	5	1	no	—
1244	C₂²⋊Q₈	—	5	1	no	—
1245	C₂²⋊Q₈	—	5	1	no	—
1246	C₂²⋊Q₈	—	5	1	no	—
1247	C₂²⋊Q₈	—	5	1	no	—
1248	C₂²⋊Q₈	—	5	1	no	—
1249	C₂²⋊Q₈	—	5	1	no	—
1250	C₂²⋊Q₈	—	5	1	no	—
1251	C₂²⋊Q₈	—	5	1	no	—
1252	C₂²⋊Q₈	—	5	1	no	—
1253	C₂²⋊Q₈	—	5	1	no	—
1254	C₂²⋊Q₈	—	5	1	no	—
1255	C₂²⋊Q₈	—	5	1	no	—
1256	C₂²⋊Q₈	—	5	1	no	—
1257	C₂²⋊Q₈	—	5	1	no	—
1258	C₂²⋊Q₈	—	5	1	no	—
1259	C₂²⋊Q₈	—	5	1	no	—
1260	C₂²⋊Q₈	—	5	1	no	—
1261	C₂²⋊Q₈	—	5	1	no	—
1262	C₂²⋊Q₈	—	5	1	no	—
1263	C₂²⋊Q₈	—	5	1	no	—
1264	C₂²⋊Q₈	—	5	1	no	—
1265	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1266	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1267	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1268	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1269	#121	—	5	1	no	—
1270	#121	—	5	1	no	—
1271	#121	—	5	1	no	—
1272	#121	—	5	1	no	—
1273	#121	—	5	1	no	—
1274	#121	—	5	1	no	—
1275	#121	—	5	1	no	—
1276	#121	—	5	1	no	—
1277	#121	—	5	1	no	—
1278	#121	—	5	1	no	—
1279	#121	—	5	1	no	—
1280	#121	—	5	1	no	—
1281	#121	—	5	1	no	—
1282	#121	—	5	1	no	—
1283	#121	—	5	1	no	—
1284	#121	—	5	1	no	—
1285	#121	—	5	1	no	—
1286	#121	—	5	1	no	—
1287	#121	—	5	1	no	—
1288	#121	—	5	1	no	—
1289	#121	—	5	1	no	—
1290	#121	—	5	1	no	—
1291	#121	—	5	1	no	—
1292	#121	—	5	1	no	—
1293	#121	—	5	1	no	—
1294	#121	—	5	1	no	—
1295	#121	—	5	1	no	—
1296	#121	—	5	1	no	—
1297	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1298	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1299	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1300	#121	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1301	C₄×Q₈	—	20	2	no	—
1302	C₄×Q₈	—	20	2	no	—
1303	C₄×D₄	—	20	2	no	—
1304	C₄×D₄	—	20	2	no	—
1305	C₄×D₄	—	20	2	no	—
1306	C₄×D₄	—	20	2	no	—
1307	C₄×D₄	—	20	2	no	—
1308	C₄×D₄	—	20	2	no	—
1309	#117	—	20	2	no	—
1310	#117	—	20	2	no	—
1311	C₂×C₄⋊C₄	—	5	1	no	—
1312	C₂×C₄⋊C₄	—	5	1	no	—
1313	C₂×C₄⋊C₄	—	5	1	no	—
1314	C₂×C₄⋊C₄	—	5	1	no	—
1315	C₂×C₄⋊C₄	—	5	1	no	—
1316	C₂×C₄⋊C₄	—	5	1	no	—
1317	C₂×C₄⋊C₄	—	5	1	no	—
1318	C₂×C₄⋊C₄	—	5	1	no	—
1319	C₂×C₄⋊C₄	—	5	1	no	—
1320	C₂×C₄⋊C₄	—	5	1	no	—
1321	C₂×C₄⋊C₄	—	5	1	no	—
1322	C₂×C₄⋊C₄	—	5	1	no	—
1323	C₂×C₄⋊C₄	—	5	1	no	—
1324	C₂×C₄⋊C₄	—	5	1	no	—
1325	C₂×C₄⋊C₄	—	5	1	no	—
1326	C₂×C₄⋊C₄	—	5	1	no	—
1327	C₂×C₄⋊C₄	—	5	1	no	—
1328	C₂×C₄⋊C₄	—	5	1	no	—
1329	C₂×C₄⋊C₄	—	5	1	no	—
1330	C₂×C₄⋊C₄	—	5	1	no	—
1331	C₂×C₄⋊C₄	—	5	1	no	—
1332	C₂×C₄⋊C₄	—	5	1	no	—
1333	C₂×C₄⋊C₄	—	5	1	no	—
1334	C₂×C₄⋊C₄	—	5	1	no	—
1335	C₂×C₄⋊C₄	—	5	1	no	—
1336	C₂×C₄⋊C₄	—	5	1	no	—
1337	C₂×C₄⋊C₄	—	5	1	no	—
1338	C₂×C₄⋊C₄	—	5	1	no	—
1339	C₂×C₄⋊C₄	—	5	1	no	—
1340	C₂×C₄⋊C₄	—	5	1	no	—
1341	C₂×C₄⋊C₄	—	5	1	no	—
1342	C₂×C₄⋊C₄	—	5	1	no	—
1343	C₂×C₄⋊C₄	—	20	2	no	—
1344	C₂×C₂²⋊C₄	—	5	1	no	—
1345	C₂×C₂²⋊C₄	—	5	1	no	—
1346	C₂×C₂²⋊C₄	—	5	1	no	—
1347	C₂×C₂²⋊C₄	—	5	1	no	—
1348	C₂×C₂²⋊C₄	—	5	1	no	—
1349	C₂×C₂²⋊C₄	—	5	1	no	—
1350	C₂×C₂²⋊C₄	—	5	1	no	—
1351	C₂×C₂²⋊C₄	—	5	1	no	—
1352	C₂×C₂²⋊C₄	—	5	1	no	—
1353	C₂×C₂²⋊C₄	—	5	1	no	—
1354	C₂×C₂²⋊C₄	—	5	1	no	—
1355	C₂×C₂²⋊C₄	—	5	1	no	—
1356	C₂×C₂²⋊C₄	—	5	1	no	—
1357	C₂×C₂²⋊C₄	—	5	1	no	—
1358	C₂×C₂²⋊C₄	—	5	1	no	—
1359	C₂×C₂²⋊C₄	—	5	1	no	—
1360	C₂×C₂²⋊C₄	—	5	1	no	—
1361	C₂×C₂²⋊C₄	—	5	1	no	—
1362	C₂×C₂²⋊C₄	—	5	1	no	—
1363	C₂×C₂²⋊C₄	—	5	1	no	—
1364	C₂×C₂²⋊C₄	—	5	1	no	—
1365	C₂×C₂²⋊C₄	—	5	1	no	—
1366	C₂×C₂²⋊C₄	—	5	1	no	—
1367	C₂×C₂²⋊C₄	—	5	1	no	—
1368	C₂×C₂²⋊C₄	—	5	1	no	—
1369	C₂×C₂²⋊C₄	—	5	1	no	—
1370	C₂×C₂²⋊C₄	—	5	1	no	—
1371	C₂×C₂²⋊C₄	—	5	1	no	—
1372	C₂×C₂²⋊C₄	—	5	1	no	—
1373	C₂×C₂²⋊C₄	—	5	1	no	—
1374	C₂×C₂²⋊C₄	—	5	1	no	—
1375	C₂×C₂²⋊C₄	—	5	1	no	—
1376	C₂×C₂²⋊C₄	—	5	1	no	—
1377	C₂×C₂²⋊C₄	—	5	1	no	—
1378	C₂×C₂²⋊C₄	—	5	1	no	—
1379	C₂×C₂²⋊C₄	—	5	1	no	—
1380	C₂×C₄²	—	5	1	no	—
1381	C₂×C₄²	—	5	1	no	—
1382	C₂×C₄²	—	5	1	no	—
1383	C₂×C₄²	—	5	1	no	—
1384	C₂×C₄²	—	5	1	no	—
1385	C₂×C₄²	—	5	1	no	—
1386	C₂×C₄²	—	5	1	no	—
1387	C₂×C₄²	—	5	1	no	—
1388	C₂×C₄²	—	5	1	no	—
1389	C₂×C₄²	—	5	1	no	—
1390	C₂×C₄²	—	5	1	no	—
1391	C₂×C₄²	—	5	1	no	—
1392	C₂×C₄²	—	5	1	no	—
1393	C₂×C₄²	—	5	1	no	—
1394	C₂×C₄²	—	5	1	no	—
1395	C₂×C₄²	—	5	1	no	—
1396	C₂×C₄²	—	5	1	no	—
1397	C₂×C₄²	—	5	1	no	—
1398	C₂×C₄²	—	5	1	no	—
1399	C₂×C₄²	—	5	1	no	—
1400	C₂×C₄²	—	5	1	no	—
1401	C₂×C₄²	—	5	1	no	—
1402	C₂×C₄²	—	5	1	no	—
1403	C₂×C₄²	—	20	2	no	—
1404	#95	—	5	1	no	—
1405	#95	—	5	1	no	—
1406	#95	—	5	1	no	—
1407	#95	—	5	1	no	—
1408	#95	—	5	1	no	—
1409	#95	—	5	1	no	—
1410	#95	—	5	1	no	—
1411	#95	—	5	1	no	—
1412	#95	—	5	1	no	—
1413	#95	—	5	1	no	—
1414	#95	—	5	1	no	—
1415	#95	—	5	1	no	—
1416	#95	—	5	1	no	—
1417	#95	—	5	1	no	—
1418	#95	—	5	1	no	—
1419	#95	—	5	1	no	—
1420	#95	—	5	1	no	—
1421	#95	—	5	1	no	—
1422	#95	—	5	1	no	—
1423	#95	—	5	1	no	—
1424	#95	—	5	1	no	—
1425	#95	—	5	1	no	—
1426	#95	—	5	1	no	—
1427	#95	—	5	1	no	—
1428	#95	—	5	1	no	—
1429	#95	—	5	1	no	—
1430	#95	—	5	1	no	—
1431	#95	—	5	1	no	—
1432	#95	—	5	1	no	—
1433	#95	—	5	1	no	—
1434	#95	—	5	1	no	—
1435	#95	—	5	1	no	—
1436	#95	—	5	1	no	—
1437	#95	—	5	1	no	—
1438	#95	—	5	1	no	—
1439	#95	—	5	1	no	—
1440	#95	—	5	1	no	—
1441	#95	—	5	1	no	—
1442	#95	—	5	1	no	—
1443	#95	—	5	1	no	—
1444	#95	—	5	1	no	—
1445	#95	—	5	1	no	—
1446	#95	—	5	1	no	—
1447	#95	—	5	1	no	—
1448	C₂²×C₅	—	2	1	no	—
1449	C₂²×C₅	—	2	1	no	—
1450	C₂²×C₅	—	2	1	no	—
1451	C₂²×C₅	—	2	1	no	—
1452	C₂²×C₅	—	2	1	no	—
1453	C₂²×C₅	—	2	1	no	—
1454	C₂²×C₅	—	2	1	no	—
1455	C₂²×C₅	—	2	1	no	—
1456	C₂²×C₅	—	2	1	no	—
1457	C₂²×C₅	—	2	1	no	—
1458	C₂²×C₅	—	2	1	no	—
1459	C₂²×C₅	—	2	1	no	—
1460	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1461	C₂×D₅	—	2	1	no	—
1462	C₂×D₅	—	2	1	no	—
1463	C₂×D₅	—	2	1	no	—
1464	C₂×D₅	—	2	1	no	—
1465	C₂×D₅	—	2	1	no	—
1466	C₂×D₅	—	2	1	no	—
1467	C₂×D₅	—	2	1	no	—
1468	C₂×D₅	—	2	1	no	—
1469	C₂×D₅	—	2	1	no	—
1470	C₂×D₅	—	2	1	no	—
1471	C₂×D₅	—	2	1	no	—
1472	C₂×D₅	—	2	1	no	—
1473	C₂×D₅	—	4	1	no	—
1474	C₂×D₅	—	4	1	no	—
1475	C₂×D₅	—	4	1	no	—
1476	C₂×D₅	—	4	1	no	—
1477	C₂×D₅	—	4	1	no	—
1478	C₂×D₅	—	4	1	no	—
1479	C₂×D₅	—	4	1	no	—
1480	C₂×D₅	—	4	1	no	—
1481	C₂×D₅	—	4	1	no	—
1482	C₂×D₅	—	4	1	no	—
1483	C₂×D₅	—	4	1	no	—
1484	C₂×D₅	—	4	1	no	—
1485	C₂×D₅	—	4	1	no	—
1486	C₂×D₅	—	4	1	no	—
1487	C₂×D₅	—	4	1	no	—
1488	C₂×D₅	—	4	1	no	—
1489	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1490	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1491	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1492	C₂×D₅	#585	1	1	yes	characteristic
1493	C₂×D₅	#585	1	1	yes	characteristic
1494	C₂×D₅	#585	1	1	yes	characteristic
1495	AGL(1,𝔽₅)	—	2	2	no	—
1496	AGL(1,𝔽₅)	—	2	2	no	—
1497	AGL(1,𝔽₅)	—	2	2	no	—
1498	AGL(1,𝔽₅)	—	4	1	no	—
1499	AGL(1,𝔽₅)	—	4	1	no	—
1500	AGL(1,𝔽₅)	—	4	1	no	—
1501	AGL(1,𝔽₅)	—	4	1	no	—
1502	AGL(1,𝔽₅)	—	4	1	no	—
1503	AGL(1,𝔽₅)	—	4	1	no	—
1504	AGL(1,𝔽₅)	—	4	1	no	—
1505	AGL(1,𝔽₅)	—	4	1	no	—
1506	AGL(1,𝔽₅)	—	4	1	no	—
1507	AGL(1,𝔽₅)	—	4	1	no	—
1508	AGL(1,𝔽₅)	—	4	1	no	—
1509	AGL(1,𝔽₅)	—	4	1	no	—
1510	AGL(1,𝔽₅)	—	4	1	no	—
1511	C₄×C₅	—	2	1	no	—
1512	C₄×C₅	—	2	1	no	—
1513	C₄×C₅	—	2	1	no	—
1514	C₄×C₅	—	2	1	no	—
1515	C₄×C₅	—	2	1	no	—
1516	C₄×C₅	—	2	1	no	—
1517	C₄×C₅	—	2	1	no	—
1518	C₄×C₅	—	2	1	no	—
1519	C₄×C₅	—	2	1	no	—
1520	C₄×C₅	—	2	1	no	—
1521	C₄×C₅	—	2	1	no	—
1522	Dic₅	—	2	1	no	—
1523	Dic₅	—	2	1	no	—
1524	Dic₅	—	2	1	no	—
1525	Dic₅	—	2	1	no	—
1526	Dic₅	—	2	1	no	—
1527	Dic₅	—	2	1	no	—
1528	Dic₅	—	2	1	no	—
1529	Dic₅	—	2	1	no	—
1530	Dic₅	—	2	1	no	—
1531	Dic₅	—	2	1	no	—
1532	Dic₅	—	2	1	no	—
1533	C₂⁴	—	5	1	no	—
1534	C₂⁴	—	5	1	no	—
1535	C₂⁴	—	5	1	no	—
1536	C₂⁴	—	5	1	no	—
1537	C₂×Q₈	—	5	1	no	—
1538	C₂×Q₈	—	5	1	no	—
1539	C₂×Q₈	—	5	1	no	—
1540	C₂×Q₈	—	5	1	no	—
1541	C₂×Q₈	—	5	1	no	—
1542	C₂×Q₈	—	5	1	no	—
1543	C₂×Q₈	—	20	1	no	—
1544	C₂×Q₈	—	20	1	no	—
1545	C₂×Q₈	—	20	1	no	—
1546	C₂×Q₈	—	20	1	no	—
1547	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1548	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1549	C₂×D₄	—	5	1	no	—
1550	C₂×D₄	—	5	1	no	—
1551	C₂×D₄	—	5	1	no	—
1552	C₂×D₄	—	5	1	no	—
1553	C₂×D₄	—	5	1	no	—
1554	C₂×D₄	—	5	1	no	—
1555	C₂×D₄	—	5	1	no	—
1556	C₂×D₄	—	5	1	no	—
1557	C₂×D₄	—	5	1	no	—
1558	C₂×D₄	—	5	1	no	—
1559	C₂×D₄	—	5	1	no	—
1560	C₂×D₄	—	5	1	no	—
1561	C₂×D₄	—	5	1	no	—
1562	C₂×D₄	—	5	1	no	—
1563	C₂×D₄	—	5	1	no	—
1564	C₂×D₄	—	5	1	no	—
1565	C₂×D₄	—	5	1	no	—
1566	C₂×D₄	—	5	1	no	—
1567	C₂×D₄	—	20	1	no	—
1568	C₂×D₄	—	20	1	no	—
1569	C₂×D₄	—	20	1	no	—
1570	C₂×D₄	—	20	1	no	—
1571	C₂×D₄	—	20	1	no	—
1572	C₂×D₄	—	20	1	no	—
1573	C₂×D₄	—	20	1	no	—
1574	C₂×D₄	—	20	1	no	—
1575	C₂×D₄	—	20	1	no	—
1576	C₂×D₄	—	20	1	no	—
1577	C₂×D₄	—	20	1	no	—
1578	C₂×D₄	—	20	1	no	—
1579	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1580	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1581	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1582	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1583	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1584	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1585	C₂²×C₄	—	5	1	no	—
1586	C₂²×C₄	—	5	1	no	—
1587	C₂²×C₄	—	5	1	no	—
1588	C₂²×C₄	—	5	1	no	—
1589	C₂²×C₄	—	5	1	no	—
1590	C₂²×C₄	—	5	1	no	—
1591	C₂²×C₄	—	5	1	no	—
1592	C₂²×C₄	—	5	1	no	—
1593	C₂²×C₄	—	5	1	no	—
1594	C₂²×C₄	—	5	1	no	—
1595	C₂²×C₄	—	5	1	no	—
1596	C₂²×C₄	—	5	1	no	—
1597	C₂²×C₄	—	5	1	no	—
1598	C₂²×C₄	—	5	1	no	—
1599	C₂²×C₄	—	5	1	no	—
1600	C₂²×C₄	—	5	1	no	—
1601	C₂²×C₄	—	5	1	no	—
1602	C₂²×C₄	—	5	1	no	—
1603	C₂²×C₄	—	5	1	no	—
1604	C₂²×C₄	—	5	1	no	—
1605	C₂²×C₄	—	5	1	no	—
1606	C₂²×C₄	—	5	1	no	—
1607	C₂²×C₄	—	5	1	no	—
1608	C₂²×C₄	—	5	1	no	—
1609	C₂²×C₄	—	5	1	no	—
1610	C₂²×C₄	—	5	1	no	—
1611	C₂²×C₄	—	5	1	no	—
1612	C₂²×C₄	—	5	1	no	—
1613	C₂²×C₄	—	5	1	no	—
1614	C₂²×C₄	—	5	1	no	—
1615	C₂²×C₄	—	5	1	no	—
1616	C₂²×C₄	—	5	1	no	—
1617	C₂²×C₄	—	5	1	no	—
1618	C₂²×C₄	—	5	1	no	—
1619	C₂²×C₄	—	5	1	no	—
1620	C₂²×C₄	—	5	1	no	—
1621	C₂²×C₄	—	5	1	no	—
1622	C₂²×C₄	—	5	1	no	—
1623	C₂²×C₄	—	5	1	no	—
1624	C₂²×C₄	—	10	2	no	—
1625	C₂²×C₄	—	10	2	no	—
1626	C₂²×C₄	—	10	2	no	—
1627	C₂²×C₄	—	10	2	no	—
1628	C₂²×C₄	—	10	2	no	—
1629	C₂²×C₄	—	10	2	no	—
1630	C₂²×C₄	—	20	1	no	—
1631	C₂²×C₄	—	20	1	no	—
1632	C₂²×C₄	—	20	1	no	—
1633	C₂²×C₄	—	20	1	no	—
1634	C₂²×C₄	—	20	1	no	—
1635	C₂²×C₄	—	20	1	no	—
1636	C₂²×C₄	—	20	1	no	—
1637	C₂²×C₄	—	20	1	no	—
1638	C₂²×C₄	—	20	1	no	—
1639	C₂²×C₄	—	20	1	no	—
1640	C₂²×C₄	—	20	1	no	—
1641	C₂²×C₄	—	20	1	no	—
1642	C₂²×C₄	—	20	1	no	—
1643	C₂²×C₄	—	20	1	no	—
1644	C₂²×C₄	—	20	1	no	—
1645	C₂²×C₄	—	20	1	no	—
1646	C₂²×C₄	—	20	1	no	—
1647	C₂²×C₄	—	20	1	no	—
1648	C₂²×C₄	—	20	1	no	—
1649	C₂²×C₄	—	20	1	no	—
1650	C₂²×C₄	—	20	1	no	—
1651	C₂²×C₄	—	20	1	no	—
1652	C₂²×C₄	—	20	1	no	—
1653	C₂²×C₄	—	20	1	no	—
1654	C₂²×C₄	—	20	1	no	—
1655	C₂²×C₄	—	20	1	no	—
1656	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1657	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1658	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1659	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1660	C₄⋊C₄	—	5	1	no	—
1661	C₄⋊C₄	—	5	1	no	—
1662	C₄⋊C₄	—	5	1	no	—
1663	C₄⋊C₄	—	5	1	no	—
1664	C₄⋊C₄	—	5	1	no	—
1665	C₄⋊C₄	—	5	1	no	—
1666	C₄⋊C₄	—	5	1	no	—
1667	C₄⋊C₄	—	5	1	no	—
1668	C₄⋊C₄	—	5	1	no	—
1669	C₄⋊C₄	—	5	1	no	—
1670	C₄⋊C₄	—	5	1	no	—
1671	C₄⋊C₄	—	5	1	no	—
1672	C₄⋊C₄	—	5	1	no	—
1673	C₄⋊C₄	—	5	1	no	—
1674	C₄⋊C₄	—	5	1	no	—
1675	C₄⋊C₄	—	5	1	no	—
1676	C₄⋊C₄	—	5	1	no	—
1677	C₄⋊C₄	—	5	1	no	—
1678	C₄⋊C₄	—	5	1	no	—
1679	C₄⋊C₄	—	5	1	no	—
1680	C₄⋊C₄	—	5	1	no	—
1681	C₄⋊C₄	—	5	1	no	—
1682	C₄⋊C₄	—	5	1	no	—
1683	C₄⋊C₄	—	5	1	no	—
1684	C₄⋊C₄	—	5	1	no	—
1685	C₄⋊C₄	—	5	1	no	—
1686	C₄⋊C₄	—	5	1	no	—
1687	C₄⋊C₄	—	5	1	no	—
1688	C₄⋊C₄	—	5	1	no	—
1689	C₄⋊C₄	—	5	1	no	—
1690	C₄⋊C₄	—	10	2	no	—
1691	C₄⋊C₄	—	10	2	no	—
1692	C₄⋊C₄	—	10	2	no	—
1693	C₄⋊C₄	—	10	2	no	—
1694	C₄⋊C₄	—	20	1	no	—
1695	C₄⋊C₄	—	20	1	no	—
1696	C₄⋊C₄	—	20	1	no	—
1697	C₄⋊C₄	—	20	1	no	—
1698	C₄⋊C₄	—	20	1	no	—
1699	C₄⋊C₄	—	20	1	no	—
1700	C₄⋊C₄	—	20	1	no	—
1701	C₄⋊C₄	—	20	1	no	—
1702	C₄⋊C₄	—	20	1	no	—
1703	C₄⋊C₄	—	20	1	no	—
1704	C₄⋊C₄	—	20	1	no	—
1705	C₄⋊C₄	—	20	1	no	—
1706	C₄⋊C₄	—	20	1	no	—
1707	C₄⋊C₄	—	20	1	no	—
1708	C₄⋊C₄	—	20	1	no	—
1709	C₄⋊C₄	—	20	1	no	—
1710	C₄⋊C₄	—	20	1	no	—
1711	C₄⋊C₄	—	20	1	no	—
1712	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1713	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1714	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1715	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1716	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1717	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1718	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1719	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1720	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1721	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1722	C₂²⋊C₄	—	5	1	no	—
1723	C₂²⋊C₄	—	5	1	no	—
1724	C₂²⋊C₄	—	5	1	no	—
1725	C₂²⋊C₄	—	5	1	no	—
1726	C₂²⋊C₄	—	5	1	no	—
1727	C₂²⋊C₄	—	5	1	no	—
1728	C₂²⋊C₄	—	5	1	no	—
1729	C₂²⋊C₄	—	5	1	no	—
1730	C₂²⋊C₄	—	5	1	no	—
1731	C₂²⋊C₄	—	5	1	no	—
1732	C₂²⋊C₄	—	5	1	no	—
1733	C₂²⋊C₄	—	5	1	no	—
1734	C₂²⋊C₄	—	5	1	no	—
1735	C₂²⋊C₄	—	5	1	no	—
1736	C₂²⋊C₄	—	5	1	no	—
1737	C₂²⋊C₄	—	5	1	no	—
1738	C₂²⋊C₄	—	5	1	no	—
1739	C₂²⋊C₄	—	5	1	no	—
1740	C₂²⋊C₄	—	5	1	no	—
1741	C₂²⋊C₄	—	5	1	no	—
1742	C₂²⋊C₄	—	5	1	no	—
1743	C₂²⋊C₄	—	5	1	no	—
1744	C₂²⋊C₄	—	5	1	no	—
1745	C₂²⋊C₄	—	5	1	no	—
1746	C₂²⋊C₄	—	5	1	no	—
1747	C₂²⋊C₄	—	5	1	no	—
1748	C₂²⋊C₄	—	5	1	no	—
1749	C₂²⋊C₄	—	5	1	no	—
1750	C₂²⋊C₄	—	5	1	no	—
1751	C₂²⋊C₄	—	5	1	no	—
1752	C₂²⋊C₄	—	5	1	no	—
1753	C₂²⋊C₄	—	5	1	no	—
1754	C₂²⋊C₄	—	5	1	no	—
1755	C₂²⋊C₄	—	5	1	no	—
1756	C₂²⋊C₄	—	5	1	no	—
1757	C₂²⋊C₄	—	5	1	no	—
1758	C₂²⋊C₄	—	10	2	no	—
1759	C₂²⋊C₄	—	10	2	no	—
1760	C₂²⋊C₄	—	10	2	no	—
1761	C₂²⋊C₄	—	10	2	no	—
1762	C₂²⋊C₄	—	10	2	no	—
1763	C₂²⋊C₄	—	10	2	no	—
1764	C₂²⋊C₄	—	20	1	no	—
1765	C₂²⋊C₄	—	20	1	no	—
1766	C₂²⋊C₄	—	20	1	no	—
1767	C₂²⋊C₄	—	20	1	no	—
1768	C₂²⋊C₄	—	20	1	no	—
1769	C₂²⋊C₄	—	20	1	no	—
1770	C₂²⋊C₄	—	20	1	no	—
1771	C₂²⋊C₄	—	20	1	no	—
1772	C₂²⋊C₄	—	20	1	no	—
1773	C₂²⋊C₄	—	20	1	no	—
1774	C₂²⋊C₄	—	20	1	no	—
1775	C₂²⋊C₄	—	20	1	no	—
1776	C₂²⋊C₄	—	20	1	no	—
1777	C₂²⋊C₄	—	20	1	no	—
1778	C₂²⋊C₄	—	20	1	no	—
1779	C₂²⋊C₄	—	20	1	no	—
1780	C₂²⋊C₄	—	20	1	no	—
1781	C₂²⋊C₄	—	20	1	no	—
1782	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1783	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1784	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1785	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1786	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1787	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1788	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1789	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1790	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1791	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1792	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1793	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1794	C₄²	—	5	1	no	—
1795	C₄²	—	5	1	no	—
1796	C₄²	—	5	1	no	—
1797	C₄²	—	10	2	no	—
1798	C₄²	—	10	2	no	—
1799	C₄²	—	10	2	no	—
1800	C₄²	—	10	2	no	—
1801	C₄²	—	10	2	no	—
1802	C₄²	—	10	2	no	—
1803	C₄²	—	10	2	no	—
1804	C₄²	—	20	1	no	—
1805	C₄²	—	20	1	no	—
1806	C₄²	—	20	1	no	—
1807	C₄²	—	20	1	no	—
1808	C₄²	—	20	1	no	—
1809	C₄²	—	20	1	no	—
1810	C₄²	—	20	1	no	—
1811	C₄²	—	20	1	no	—
1812	C₄²	—	20	1	no	—
1813	C₄²	—	20	1	no	—
1814	C₄²	—	20	1	no	—
1815	C₄²	—	20	1	no	—
1816	C₄²	—	20	1	no	—
1817	C₄²	—	20	1	no	—
1818	C₄²	—	20	1	no	—
1819	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1820	C₂×C₅	—	4	1	no	—
1821	C₂×C₅	—	4	1	no	—
1822	C₂×C₅	—	4	1	no	—
1823	C₂×C₅	—	4	1	no	—
1824	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1825	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1826	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1827	D₅	—	4	1	no	—
1828	D₅	—	4	1	no	—
1829	D₅	—	4	1	no	—
1830	D₅	—	4	1	no	—
1831	D₅	#3535	1	1	yes	characteristic
1832	D₅	#3542	1	1	yes	characteristic
1833	D₅	#3547	1	1	yes	characteristic
1834	D₅	#3566	1	1	yes	characteristic
1835	C₂³	—	5	1	no	—
1836	C₂³	—	5	1	no	—
1837	C₂³	—	5	1	no	—
1838	C₂³	—	5	1	no	—
1839	C₂³	—	5	1	no	—
1840	C₂³	—	10	1	no	—
1841	C₂³	—	10	1	no	—
1842	C₂³	—	10	1	no	—
1843	C₂³	—	10	1	no	—
1844	C₂³	—	10	1	no	—
1845	C₂³	—	10	1	no	—
1846	C₂³	—	10	1	no	—
1847	C₂³	—	10	1	no	—
1848	C₂³	—	10	1	no	—
1849	C₂³	—	10	1	no	—
1850	C₂³	—	10	1	no	—
1851	C₂³	—	10	1	no	—
1852	C₂³	—	10	1	no	—
1853	C₂³	—	10	1	no	—
1854	C₂³	—	10	1	no	—
1855	C₂³	—	10	1	no	—
1856	C₂³	—	10	1	no	—
1857	C₂³	—	10	1	no	—
1858	C₂³	—	10	1	no	—
1859	C₂³	—	10	1	no	—
1860	C₂³	—	10	1	no	—
1861	C₂³	—	10	1	no	—
1862	C₂³	—	10	1	no	—
1863	C₂³	—	10	1	no	—
1864	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1865	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1866	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1867	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1868	Q₈	—	4	1	no	—
1869	Q₈	—	4	1	no	—
1870	Q₈	—	20	1	no	—
1871	Q₈	—	20	1	no	—
1872	Q₈	—	20	1	no	—
1873	Q₈	—	20	1	no	—
1874	Q₈	—	20	1	no	—
1875	Q₈	—	20	1	no	—
1876	D₄	—	4	1	no	—
1877	D₄	—	4	1	no	—
1878	D₄	—	4	1	no	—
1879	D₄	—	4	1	no	—
1880	D₄	—	4	1	no	—
1881	D₄	—	4	1	no	—
1882	D₄	—	20	1	no	—
1883	D₄	—	20	1	no	—
1884	D₄	—	20	1	no	—
1885	D₄	—	20	1	no	—
1886	D₄	—	20	1	no	—
1887	D₄	—	20	1	no	—
1888	D₄	—	20	1	no	—
1889	D₄	—	20	1	no	—
1890	D₄	—	20	1	no	—
1891	D₄	—	20	1	no	—
1892	D₄	—	20	1	no	—
1893	D₄	—	20	1	no	—
1894	D₄	—	20	1	no	—
1895	D₄	—	20	1	no	—
1896	D₄	—	20	1	no	—
1897	D₄	—	20	1	no	—
1898	D₄	—	20	1	no	—
1899	D₄	—	20	1	no	—
1900	C₂×C₄	—	4	1	no	—
1901	C₂×C₄	—	4	1	no	—
1902	C₂×C₄	—	4	1	no	—
1903	C₂×C₄	—	4	1	no	—
1904	C₂×C₄	—	5	2	no	—
1905	C₂×C₄	—	5	2	no	—
1906	C₂×C₄	—	5	2	no	—
1907	C₂×C₄	—	5	1	no	—
1908	C₂×C₄	—	5	1	no	—
1909	C₂×C₄	—	5	1	no	—
1910	C₂×C₄	—	5	1	no	—
1911	C₂×C₄	—	5	1	no	—
1912	C₂×C₄	—	5	1	no	—
1913	C₂×C₄	—	5	1	no	—
1914	C₂×C₄	—	5	1	no	—
1915	C₂×C₄	—	5	1	no	—
1916	C₂×C₄	—	5	1	no	—
1917	C₂×C₄	—	5	1	no	—
1918	C₂×C₄	—	10	1	no	—
1919	C₂×C₄	—	10	1	no	—
1920	C₂×C₄	—	10	1	no	—
1921	C₂×C₄	—	10	1	no	—
1922	C₂×C₄	—	10	1	no	—
1923	C₂×C₄	—	10	1	no	—
1924	C₂×C₄	—	10	1	no	—
1925	C₂×C₄	—	10	1	no	—
1926	C₂×C₄	—	10	1	no	—
1927	C₂×C₄	—	10	1	no	—
1928	C₂×C₄	—	10	1	no	—
1929	C₂×C₄	—	10	1	no	—
1930	C₂×C₄	—	10	1	no	—
1931	C₂×C₄	—	10	1	no	—
1932	C₂×C₄	—	10	1	no	—
1933	C₂×C₄	—	10	1	no	—
1934	C₂×C₄	—	10	1	no	—
1935	C₂×C₄	—	10	1	no	—
1936	C₂×C₄	—	10	1	no	—
1937	C₂×C₄	—	10	1	no	—
1938	C₂×C₄	—	10	1	no	—
1939	C₂×C₄	—	10	1	no	—
1940	C₂×C₄	—	10	1	no	—
1941	C₂×C₄	—	10	1	no	—
1942	C₂×C₄	—	10	1	no	—
1943	C₂×C₄	—	10	1	no	—
1944	C₂×C₄	—	10	1	no	—
1945	C₂×C₄	—	10	1	no	—
1946	C₂×C₄	—	10	1	no	—
1947	C₂×C₄	—	10	1	no	—
1948	C₂×C₄	—	10	1	no	—
1949	C₂×C₄	—	10	1	no	—
1950	C₂×C₄	—	10	1	no	—
1951	C₂×C₄	—	10	1	no	—
1952	C₂×C₄	—	10	1	no	—
1953	C₂×C₄	—	10	1	no	—
1954	C₂×C₄	—	10	1	no	—
1955	C₂×C₄	—	10	1	no	—
1956	C₂×C₄	—	10	1	no	—
1957	C₂×C₄	—	10	1	no	—
1958	C₂×C₄	—	10	1	no	—
1959	C₂×C₄	—	10	1	no	—
1960	C₂×C₄	—	10	1	no	—
1961	C₂×C₄	—	10	1	no	—
1962	C₂×C₄	—	10	1	no	—
1963	C₂×C₄	—	10	1	no	—
1964	C₂×C₄	—	10	1	no	—
1965	C₂×C₄	—	10	1	no	—
1966	C₂×C₄	—	10	1	no	—
1967	C₂×C₄	—	10	1	no	—
1968	C₂×C₄	—	10	1	no	—
1969	C₂×C₄	—	10	1	no	—
1970	C₂×C₄	—	10	1	no	—
1971	C₂×C₄	—	10	1	no	—
1972	C₂×C₄	—	10	1	no	—
1973	C₂×C₄	—	10	1	no	—
1974	C₂×C₄	—	10	1	no	—
1975	C₂×C₄	—	10	1	no	—
1976	C₂×C₄	—	10	1	no	—
1977	C₂×C₄	—	10	1	no	—
1978	C₂×C₄	—	10	1	no	—
1979	C₂×C₄	—	10	1	no	—
1980	C₂×C₄	—	10	1	no	—
1981	C₂×C₄	—	10	1	no	—
1982	C₂×C₄	—	10	1	no	—
1983	C₂×C₄	—	10	1	no	—
1984	C₂×C₄	—	10	1	no	—
1985	C₂×C₄	—	20	1	no	—
1986	C₂×C₄	—	20	1	no	—
1987	C₂×C₄	—	20	1	no	—
1988	C₂×C₄	—	20	1	no	—
1989	C₂×C₄	—	20	1	no	—
1990	C₂×C₄	—	20	1	no	—
1991	C₂×C₄	—	20	1	no	—
1992	C₂×C₄	—	20	1	no	—
1993	C₂×C₄	—	20	1	no	—
1994	C₂×C₄	—	20	1	no	—
1995	C₂×C₄	—	20	1	no	—
1996	C₂×C₄	—	20	1	no	—
1997	C₂×C₄	—	20	4	no	—
1998	C₂×C₄	—	20	4	no	—
1999	C₂×C₄	—	40	2	no	—
2000	C₂×C₄	—	40	2	no	—
2001	C₂×C₄	—	40	2	no	—
2002	C₂×C₄	—	40	2	no	—
2003	C₂×C₄	—	40	2	no	—
2004	C₂×C₄	—	40	2	no	—
2005	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2006	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2007	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2008	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2009	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2010	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2011	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2012	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2013	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2014	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2015	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
2016	C₅	#34519	1	1	yes	characteristic, complemented, Sylow
2017	C₂²	—	2	1	no	—
2018	C₂²	—	2	1	no	—
2019	C₂²	—	2	1	no	—
2020	C₂²	—	2	1	no	—
2021	C₂²	—	2	1	no	—
2022	C₂²	—	2	1	no	—
2023	C₂²	—	2	1	no	—
2024	C₂²	—	2	1	no	—
2025	C₂²	—	2	1	no	—
2026	C₂²	—	2	1	no	—
2027	C₂²	—	2	1	no	—
2028	C₂²	—	2	1	no	—
2029	C₂²	—	5	1	no	—
2030	C₂²	—	5	1	no	—
2031	C₂²	—	5	1	no	—
2032	C₂²	—	5	1	no	—
2033	C₂²	—	5	1	no	—
2034	C₂²	—	5	1	no	—
2035	C₂²	—	10	1	no	—
2036	C₂²	—	10	1	no	—
2037	C₂²	—	10	1	no	—
2038	C₂²	—	10	1	no	—
2039	C₂²	—	10	1	no	—
2040	C₂²	—	10	1	no	—
2041	C₂²	—	10	1	no	—
2042	C₂²	—	10	1	no	—
2043	C₂²	—	10	1	no	—
2044	C₂²	—	10	1	no	—
2045	C₂²	—	10	1	no	—
2046	C₂²	—	10	1	no	—
2047	C₂²	—	20	1	no	—
2048	C₂²	—	20	1	no	—
2049	C₂²	—	20	1	no	—
2050	C₂²	—	20	1	no	—
2051	C₂²	—	20	1	no	—
2052	C₂²	—	20	1	no	—
2053	C₂²	—	20	1	no	—
2054	C₂²	—	20	1	no	—
2055	C₂²	—	20	1	no	—
2056	C₂²	—	20	1	no	—
2057	C₂²	—	20	1	no	—
2058	C₂²	—	20	1	no	—
2059	C₂²	—	20	1	no	—
2060	C₂²	—	20	1	no	—
2061	C₂²	—	20	1	no	—
2062	C₂²	—	20	1	no	—
2063	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
2064	C₄	—	2	1	no	—
2065	C₄	—	2	1	no	—
2066	C₄	—	2	1	no	—
2067	C₄	—	2	1	no	—
2068	C₄	—	2	1	no	—
2069	C₄	—	2	1	no	—
2070	C₄	—	2	1	no	—
2071	C₄	—	2	1	no	—
2072	C₄	—	2	1	no	—
2073	C₄	—	2	1	no	—
2074	C₄	—	2	1	no	—
2075	C₄	—	10	2	no	—
2076	C₄	—	10	2	no	—
2077	C₄	—	10	2	no	—
2078	C₄	—	10	1	no	—
2079	C₄	—	10	1	no	—
2080	C₄	—	10	1	no	—
2081	C₄	—	10	1	no	—
2082	C₄	—	10	1	no	—
2083	C₄	—	10	1	no	—
2084	C₄	—	10	1	no	—
2085	C₄	—	10	1	no	—
2086	C₄	—	10	1	no	—
2087	C₄	—	10	1	no	—
2088	C₄	—	10	1	no	—
2089	C₄	—	20	1	no	—
2090	C₄	—	20	1	no	—
2091	C₄	—	20	1	no	—
2092	C₄	—	20	1	no	—
2093	C₄	—	20	1	no	—
2094	C₄	—	20	1	no	—
2095	C₄	—	20	1	no	—
2096	C₄	—	20	1	no	—
2097	C₄	—	20	1	no	—
2098	C₄	—	20	1	no	—
2099	C₄	—	20	1	no	—
2100	C₄	—	20	1	no	—
2101	C₄	—	20	1	no	—
2102	C₂	—	4	1	no	—
2103	C₂	—	4	1	no	—
2104	C₂	—	4	1	no	—
2105	C₂	—	4	1	no	—
2106	C₂	—	5	1	no	—
2107	C₂	—	5	1	no	—
2108	C₂	—	5	1	no	—
2109	C₂	—	5	1	no	—
2110	C₂	—	20	1	no	—
2111	C₂	—	20	1	no	—
2112	C₂	—	20	1	no	—
2113	C₂	—	20	1	no	—
2114	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic
2115	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic
2116	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×#562	C₄
prime radical	D₅×#562	C₂
cosocle	C₂²×D₅	C₂⁵
hypercenter	#562	AGL(1,𝔽₅)
hypocenter	C₅	#34519
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #562

Complements

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

N	H ≅ G/N	type
2. #10617347	C₂	semidirect
3. #10617344	C₂	semidirect
4. #10617327	C₂	semidirect
5. #10617327	C₂	semidirect
6. #10617324	C₂	semidirect
7. #10617324	C₂	semidirect
8. #10617308	C₂	semidirect
9. #10617307	C₂	semidirect
10. #10617306	C₂	semidirect
11. #10617306	C₂	semidirect
12. #10617305	C₂	semidirect
13. #10617305	C₂	semidirect
14. #10617304	C₂	semidirect
15. AGL(1,𝔽₅)×#123	C₂	semidirect
16. #10617288	C₂	semidirect
17. #10617287	C₂	semidirect
18. #10617286	C₂	semidirect
19. #10617285	C₂	semidirect
20. #10617284	C₂	semidirect
21. #10617283	C₂	semidirect
22. #10617282	C₂	semidirect
23. AGL(1,𝔽₅)×C₂²⋊Q₈	C₂	semidirect
24. #10617256	C₂	semidirect
25. #10617255	C₂	semidirect
26. #10617254	C₂	semidirect
27. #10617253	C₂	semidirect
28. #10617252	C₂	semidirect
29. #10617251	C₂	semidirect
30. #10617250	C₂	semidirect
31. AGL(1,𝔽₅)×#121	C₂	semidirect
44. C₅×#562	C₄	semidirect
45. #66034	C₄	semidirect
47. #66018	C₄	semidirect
48. #66018	C₄	semidirect
51. #66001	C₄	semidirect
52. #66001	C₄	semidirect
53. #66001	C₄	semidirect
54. #66001	C₄	semidirect
59. #65981	C₄	semidirect
60. #65981	C₄	semidirect
61. #65981	C₄	semidirect
62. #65981	C₄	semidirect
67. #65955	C₄	semidirect
68. #65955	C₄	semidirect
69. #65955	C₄	semidirect
70. #65955	C₄	semidirect
304. C₅×#125	C₂×C₄	semidirect
305. C₅×#124	C₂×C₄	semidirect
306. C₅×#124	C₂×C₄	semidirect
307. C₅×#123	C₂×C₄	semidirect
308. C₅×#123	C₂×C₄	semidirect
309. C₅×#123	C₂×C₄	semidirect
310. C₅×#123	C₂×C₄	semidirect
311. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
312. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
313. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
314. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
315. C₅×#121	C₂×C₄	semidirect
316. C₅×#121	C₂×C₄	semidirect
317. C₅×#121	C₂×C₄	semidirect
318. C₅×#121	C₂×C₄	semidirect
319. #4093	C₂×C₄	semidirect
320. #4093	C₂×C₄	semidirect
321. #4092	C₂×C₄	semidirect
322. #4092	C₂×C₄	semidirect
323. #4092	C₂×C₄	semidirect
324. #4092	C₂×C₄	semidirect
325. #4085	C₂×C₄	semidirect
326. #4085	C₂×C₄	semidirect
327. #4085	C₂×C₄	semidirect
328. #4085	C₂×C₄	semidirect
329. #4085	C₂×C₄	semidirect
330. #4085	C₂×C₄	semidirect
331. #4085	C₂×C₄	semidirect
332. #4085	C₂×C₄	semidirect
333. #4084	C₂×C₄	semidirect
334. #4084	C₂×C₄	semidirect
335. #4084	C₂×C₄	semidirect
336. #4084	C₂×C₄	semidirect
337. #4082	C₂×C₄	semidirect
338. #4082	C₂×C₄	semidirect
339. #4081	C₂×C₄	semidirect
340. #4081	C₂×C₄	semidirect
341. #4081	C₂×C₄	semidirect
342. #4081	C₂×C₄	semidirect
343. #4076	C₂×C₄	semidirect
344. #4076	C₂×C₄	semidirect
345. #4076	C₂×C₄	semidirect
346. #4076	C₂×C₄	semidirect
347. #4075	C₂×C₄	semidirect
348. #4075	C₂×C₄	semidirect
349. #4075	C₂×C₄	semidirect
350. #4075	C₂×C₄	semidirect
351. #4070	C₂×C₄	semidirect
352. #4070	C₂×C₄	semidirect
353. #4070	C₂×C₄	semidirect
354. #4070	C₂×C₄	semidirect
355. #4043	C₂×C₄	semidirect
356. #4043	C₂×C₄	semidirect
357. #4043	C₂×C₄	semidirect
358. #4043	C₂×C₄	semidirect
359. #4042	C₂×C₄	semidirect
360. #4042	C₂×C₄	semidirect
361. #4042	C₂×C₄	semidirect
362. #4042	C₂×C₄	semidirect
363. #4042	C₂×C₄	semidirect
364. #4042	C₂×C₄	semidirect
365. #4042	C₂×C₄	semidirect
366. #4042	C₂×C₄	semidirect
367. #4041	C₂×C₄	semidirect
368. #4041	C₂×C₄	semidirect
369. #4041	C₂×C₄	semidirect
370. #4041	C₂×C₄	semidirect
371. #4040	C₂×C₄	semidirect
372. #4040	C₂×C₄	semidirect
373. #4040	C₂×C₄	semidirect
374. #4040	C₂×C₄	semidirect
375. #4040	C₂×C₄	semidirect
376. #4040	C₂×C₄	semidirect
377. #4040	C₂×C₄	semidirect
378. #4040	C₂×C₄	semidirect
389. #4036	C₂×C₄	semidirect
390. #4036	C₂×C₄	semidirect
391. #4035	C₂×C₄	semidirect
392. #4035	C₂×C₄	semidirect
393. #4035	C₂×C₄	semidirect
394. #4035	C₂×C₄	semidirect
395. #4032	C₂×C₄	semidirect
396. #4032	C₂×C₄	semidirect
397. #4032	C₂×C₄	semidirect
398. #4032	C₂×C₄	semidirect
399. #4031	C₂×C₄	semidirect
400. #4031	C₂×C₄	semidirect
401. #4031	C₂×C₄	semidirect
402. #4031	C₂×C₄	semidirect
403. #4031	C₂×C₄	semidirect
404. #4031	C₂×C₄	semidirect
405. #4031	C₂×C₄	semidirect
406. #4031	C₂×C₄	semidirect
407. #4030	C₂×C₄	semidirect
408. #4030	C₂×C₄	semidirect
409. #4030	C₂×C₄	semidirect
410. #4030	C₂×C₄	semidirect
411. #4030	C₂×C₄	semidirect
412. #4030	C₂×C₄	semidirect
413. #4030	C₂×C₄	semidirect
414. #4030	C₂×C₄	semidirect
415. #4029	C₂×C₄	semidirect
416. #4029	C₂×C₄	semidirect
417. #4029	C₂×C₄	semidirect
418. #4029	C₂×C₄	semidirect
419. #4029	C₂×C₄	semidirect
420. #4029	C₂×C₄	semidirect
421. #4029	C₂×C₄	semidirect
422. #4029	C₂×C₄	semidirect
435. #4024	C₂×C₄	semidirect
436. #4024	C₂×C₄	semidirect
437. #4024	C₂×C₄	semidirect
438. #4024	C₂×C₄	semidirect
439. #4024	C₂×C₄	semidirect
440. #4024	C₂×C₄	semidirect
441. #4024	C₂×C₄	semidirect
442. #4024	C₂×C₄	semidirect
443. #4021	C₂×C₄	semidirect
444. #4021	C₂×C₄	semidirect
446. #4016	C₂×C₄	semidirect
824. #562	AGL(1,𝔽₅)	semidirect
1188. #125	C₂×AGL(1,𝔽₅)	semidirect
1203. #124	C₂×AGL(1,𝔽₅)	semidirect
1204. #124	C₂×AGL(1,𝔽₅)	semidirect
1233. #123	C₂×AGL(1,𝔽₅)	semidirect
1234. #123	C₂×AGL(1,𝔽₅)	semidirect
1235. #123	C₂×AGL(1,𝔽₅)	semidirect
1236. #123	C₂×AGL(1,𝔽₅)	semidirect
1265. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1266. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1267. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1268. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1297. #121	C₂×AGL(1,𝔽₅)	semidirect
1298. #121	C₂×AGL(1,𝔽₅)	semidirect
1299. #121	C₂×AGL(1,𝔽₅)	semidirect
1300. #121	C₂×AGL(1,𝔽₅)	semidirect
2016. C₅	#34519	semidirect

Maximal subgroups

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

subgroup	index
D₅×#562	2
#10617347	2
#10617344	2
#10617327	2
#10617324	2
#10617308	2
#10617307	2
#10617306	2
#10617305	2
#10617304	2
AGL(1,𝔽₅)×#123	2
#10617288	2
#10617287	2
#10617286	2
#10617285	2
#10617284	2
#10617283	2
#10617282	2
AGL(1,𝔽₅)×C₂²⋊Q₈	2
#10617256	2
#10617255	2
#10617254	2
#10617253	2
#10617252	2
#10617251	2
#10617250	2
AGL(1,𝔽₅)×#121	2
#34519	5