Subgroups — #13044329

Order 1280.

2068 conjugacy classes of subgroups.

The subgroup lattice has 1970 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#554	C₂	1	1	yes	maximal, characteristic
2	#10617390	C₂	1	1	yes	maximal, characteristic, complemented
3	#10617386	C₂	1	1	yes	maximal, characteristic, complemented
4	#10617348	C₂	1	1	yes	maximal, characteristic, complemented
5	#10617347	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617345	C₂	1	1	yes	maximal, characteristic, complemented
7	#10617345	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617288	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617288	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617287	C₂	1	1	yes	maximal, characteristic, complemented
11	#10617287	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617286	C₂	1	1	yes	maximal, characteristic, complemented
13	#10617285	C₂	1	1	yes	maximal, characteristic, complemented
14	#10617284	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617284	C₂	1	1	yes	maximal, characteristic, complemented
16	#10617283	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617283	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617282	C₂	1	1	yes	maximal, characteristic, complemented
19	AGL(1,𝔽₅)×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617214	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617210	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617180	C₂	1	1	yes	maximal, characteristic
23	#10617180	C₂	1	1	yes	maximal, characteristic
24	#10617179	C₂	1	1	yes	maximal, characteristic
25	#10617175	C₂	1	1	yes	maximal, characteristic
26	#10617175	C₂	1	1	yes	maximal, characteristic
27	#10617173	C₂	1	1	yes	maximal, characteristic
28	#10617104	C₂	1	1	yes	maximal, characteristic, complemented
29	#10617103	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617101	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65711	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×#4130	C₂²	1	1	yes	characteristic
35	C₂×#4130	C₂²	1	1	yes	characteristic
36	C₂²×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
37	C₂²×C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
38	C₅×#554	C₄	1	1	yes	characteristic, complemented
39	#66064	C₄	1	1	yes	characteristic, complemented
40	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	#66024	C₄	1	1	yes	characteristic, complemented
42	#66024	C₄	1	1	yes	characteristic, complemented
43	D₅×#125	C₂²	1	1	yes	characteristic
44	D₅×#125	C₂²	1	1	yes	characteristic
45	#65970	C₄	1	1	yes	characteristic, complemented
46	#65970	C₄	1	1	yes	characteristic, complemented
47	#65970	C₄	1	1	yes	characteristic, complemented
48	#65970	C₄	1	1	yes	characteristic, complemented
49	#65969	C₄	1	1	yes	characteristic, complemented
50	#65969	C₄	1	1	yes	characteristic, complemented
51	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
55	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
56	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
57	#65913	C₄	1	1	yes	characteristic, complemented
58	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
59	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
60	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
61	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
62	#65877	C₄	1	1	yes	characteristic, complemented
63	#65873	C₄	1	1	yes	characteristic, complemented
64	#65873	C₄	1	1	yes	characteristic, complemented
65	#65845	C₄	1	1	yes	characteristic, complemented
66	#65845	C₄	1	1	yes	characteristic, complemented
67	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
70	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
71	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
72	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
73	(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	#65779	C₂²	1	1	yes	characteristic
80	#65779	C₂²	1	1	yes	characteristic
81	#65779	C₂²	1	1	yes	characteristic
82	#65779	C₂²	1	1	yes	characteristic
83	#65765	C₂²	1	1	yes	characteristic
84	#65765	C₂²	1	1	yes	characteristic
85	#65765	C₂²	1	1	yes	characteristic
86	#65765	C₂²	1	1	yes	characteristic
87	#65765	C₂²	1	1	yes	characteristic
88	#65765	C₂²	1	1	yes	characteristic
89	#65764	C₂²	1	1	yes	characteristic
90	#65764	C₂²	1	1	yes	characteristic
91	#65764	C₂²	1	1	yes	characteristic
92	#65764	C₂²	1	1	yes	characteristic
93	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
94	C₄×C₂²⋊AGL(1,𝔽₅)	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	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
98	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
99	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
100	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
101	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
102	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	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	#65712	C₂²	1	1	yes	characteristic
110	#65712	C₂²	1	1	yes	characteristic
111	#65712	C₂²	1	1	yes	characteristic
112	#65712	C₂²	1	1	yes	characteristic
113	#65711	C₂²	1	1	yes	characteristic
114	#65711	C₂²	1	1	yes	characteristic
115	#65711	C₂²	1	1	yes	characteristic
116	#65711	C₂²	1	1	yes	characteristic
117	#65711	C₂²	1	1	yes	characteristic
118	#65711	C₂²	1	1	yes	characteristic
119	#65711	C₂²	1	1	yes	characteristic
120	#65711	C₂²	1	1	yes	characteristic
121	#65711	C₂²	1	1	yes	characteristic
122	#65711	C₂²	1	1	yes	characteristic
123	#65711	C₂²	1	1	yes	characteristic
124	#65711	C₂²	1	1	yes	characteristic
125	#65711	C₂²	1	1	yes	characteristic
126	#65711	C₂²	1	1	yes	characteristic
127	#65711	C₂²	1	1	yes	characteristic
128	#65711	C₂²	1	1	yes	characteristic
129	#65711	C₂²	1	1	yes	characteristic
130	#65711	C₂²	1	1	yes	characteristic
131	#65711	C₂²	1	1	yes	characteristic
132	#65711	C₂²	1	1	yes	characteristic
133	#65711	C₂²	1	1	yes	characteristic
134	#65711	C₂²	1	1	yes	characteristic
135	#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	#65711	C₂²	1	1	yes	characteristic
142	#65711	C₂²	1	1	yes	characteristic
143	#65711	C₂²	1	1	yes	characteristic
144	#65711	C₂²	1	1	yes	characteristic
145	#65711	C₂²	1	1	yes	characteristic
146	#65711	C₂²	1	1	yes	characteristic
147	#65711	C₂²	1	1	yes	characteristic
148	#65711	C₂²	1	1	yes	characteristic
149	#65711	C₂²	1	1	yes	characteristic
150	#65711	C₂²	1	1	yes	characteristic
151	#65711	C₂²	1	1	yes	characteristic
152	#65711	C₂²	1	1	yes	characteristic
153	#65711	C₂²	1	1	yes	characteristic
154	#65711	C₂²	1	1	yes	characteristic
155	#65711	C₂²	1	1	yes	characteristic
156	#65711	C₂²	1	1	yes	characteristic
157	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
158	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
159	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
160	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
161	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
162	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
163	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
164	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
165	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
166	C₄⋊C₄×AGL(1,𝔽₅)	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	#65700	C₂²	1	1	yes	characteristic
176	#65700	C₂²	1	1	yes	characteristic
177	#65700	C₂²	1	1	yes	characteristic
178	#65700	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	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
186	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
187	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
188	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
189	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
190	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
191	#65690	C₂²	1	1	yes	characteristic
192	#65690	C₂²	1	1	yes	characteristic
193	#65690	C₂²	1	1	yes	characteristic
194	#65690	C₂²	1	1	yes	characteristic
195	#65689	C₂²	1	1	yes	characteristic
196	#65689	C₂²	1	1	yes	characteristic
197	#65689	C₂²	1	1	yes	characteristic
198	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
199	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
200	#65686	C₂²	1	1	yes	characteristic
201	#65686	C₂²	1	1	yes	characteristic
202	#65686	C₂²	1	1	yes	characteristic
203	#34486	—	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	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
226	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	Q₈×AGL(1,𝔽₅)	—	4	2	no	—
231	Q₈×AGL(1,𝔽₅)	—	4	2	no	—
232	#4130	—	4	2	no	—
233	#4130	—	4	2	no	—
234	C₂×C₄⋊AGL(1,𝔽₅)	—	4	2	no	—
235	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊AGL(1,𝔽₅)	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)	—	4	2	no	—
258	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
259	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
260	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
261	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
262	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
263	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
264	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
265	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
266	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
267	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
268	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
269	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
270	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
271	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
272	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
273	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
274	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
275	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
276	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
277	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
278	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
279	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
280	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
281	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
282	C₅×#125	C₂×C₄	1	1	yes	characteristic, complemented
283	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
284	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
285	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
286	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
287	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
288	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
289	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
290	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
291	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
292	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
293	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
294	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
295	#4092	C₂×C₄	1	1	yes	characteristic
296	#4092	C₂×C₄	1	1	yes	characteristic
297	#4092	C₂×C₄	1	1	yes	characteristic
298	#4092	C₂×C₄	1	1	yes	characteristic, complemented
299	#4092	C₂×C₄	1	1	yes	characteristic, complemented
300	#4092	C₂×C₄	1	1	yes	characteristic, complemented
301	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
302	#4090	C₂×C₄	1	1	yes	characteristic, complemented
303	#4090	C₂×C₄	1	1	yes	characteristic, complemented
304	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
305	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
306	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
307	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
308	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
309	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
310	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
311	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
312	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
313	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
314	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
315	#4070	C₂×C₄	1	1	yes	characteristic
316	#4070	C₂×C₄	1	1	yes	characteristic
317	#4070	C₂×C₄	1	1	yes	characteristic
318	#4070	C₂×C₄	1	1	yes	characteristic, complemented
319	#4070	C₂×C₄	1	1	yes	characteristic, complemented
320	#4070	C₂×C₄	1	1	yes	characteristic, complemented
321	C₂×#683	C₂×C₄	1	1	yes	characteristic
322	C₂×#683	C₂×C₄	1	1	yes	characteristic
323	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
324	C₂×#683	C₂×C₄	1	1	yes	characteristic, complemented
325	#4043	C₂×C₄	1	1	yes	characteristic
326	#4043	C₂×C₄	1	1	yes	characteristic
327	#4043	C₂×C₄	1	1	yes	characteristic
328	#4043	C₂×C₄	1	1	yes	characteristic, complemented
329	#4043	C₂×C₄	1	1	yes	characteristic, complemented
330	#4043	C₂×C₄	1	1	yes	characteristic, complemented
331	#4042	C₂×C₄	1	1	yes	characteristic
332	#4042	C₂×C₄	1	1	yes	characteristic
333	#4042	C₂×C₄	1	1	yes	characteristic
334	#4042	C₂×C₄	1	1	yes	characteristic
335	#4042	C₂×C₄	1	1	yes	characteristic
336	#4042	C₂×C₄	1	1	yes	characteristic
337	#4042	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	#4039	C₂×C₄	1	1	yes	characteristic
344	#4039	C₂×C₄	1	1	yes	characteristic
345	#4039	C₂×C₄	1	1	yes	characteristic
346	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
347	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
348	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
349	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
350	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
351	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
352	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
353	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
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	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
363	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
364	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
366	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
367	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
368	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
369	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
370	#4036	C₂×C₄	1	1	yes	characteristic, complemented
371	#4036	C₂×C₄	1	1	yes	characteristic, complemented
372	#4036	C₂×C₄	1	1	yes	characteristic, complemented
373	#4036	C₂×C₄	1	1	yes	characteristic, complemented
374	#4035	C₂×C₄	1	1	yes	characteristic, complemented
375	#4035	C₂×C₄	1	1	yes	characteristic, complemented
376	#4035	C₂×C₄	1	1	yes	characteristic, complemented
377	#4035	C₂×C₄	1	1	yes	characteristic, complemented
378	#4035	C₂×C₄	1	1	yes	characteristic, complemented
379	#4035	C₂×C₄	1	1	yes	characteristic, complemented
380	#4035	C₂×C₄	1	1	yes	characteristic, complemented
381	#4035	C₂×C₄	1	1	yes	characteristic, complemented
382	#4034	C₂×C₄	1	1	yes	characteristic, complemented
383	#4034	C₂×C₄	1	1	yes	characteristic, complemented
384	#4034	C₂×C₄	1	1	yes	characteristic, complemented
385	#4034	C₂×C₄	1	1	yes	characteristic, complemented
386	#4033	C₂×C₄	1	1	yes	characteristic, complemented
387	#4033	C₂×C₄	1	1	yes	characteristic, complemented
388	#4033	C₂×C₄	1	1	yes	characteristic, complemented
389	#4027	C₂×C₄	1	1	yes	characteristic
390	#4027	C₂×C₄	1	1	yes	characteristic
391	#4027	C₂×C₄	1	1	yes	characteristic
392	#4027	C₂×C₄	1	1	yes	characteristic
393	#4027	C₂×C₄	1	1	yes	characteristic
394	#4027	C₂×C₄	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	#4024	C₂×C₄	1	1	yes	characteristic
402	#4024	C₂×C₄	1	1	yes	characteristic
403	#4024	C₂×C₄	1	1	yes	characteristic
404	#4024	C₂×C₄	1	1	yes	characteristic
405	#4024	C₂×C₄	1	1	yes	characteristic
406	#4024	C₂×C₄	1	1	yes	characteristic
407	#4024	C₂×C₄	1	1	yes	characteristic, complemented
408	#4024	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	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
414	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
415	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
416	C₄²×D₅	C₂³	1	1	yes	characteristic
417	C₄²×D₅	C₂³	1	1	yes	characteristic
418	C₄²×D₅	C₂³	1	1	yes	characteristic
419	#4016	C₂×C₄	1	1	yes	characteristic, complemented
420	#4016	C₂×C₄	1	1	yes	characteristic, complemented
421	#4015	C₂×C₄	1	1	yes	characteristic, complemented
422	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
423	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
424	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
425	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
426	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
427	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
428	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
429	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
430	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
431	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
432	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
433	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
434	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
435	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
436	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
437	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
438	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
439	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
440	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
441	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
442	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
443	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
444	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
445	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
446	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
447	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
448	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
449	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
450	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
451	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
452	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
453	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
454	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
455	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
456	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
457	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
458	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
459	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
460	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
461	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
462	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
463	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
464	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
465	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
466	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
467	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
468	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
469	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
470	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
471	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
472	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
473	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
474	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
475	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
476	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
477	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
478	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
479	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
480	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
481	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
482	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
483	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
484	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
485	C₂×#554	—	5	1	no	—
486	#2382	—	5	1	no	—
487	#2381	—	5	1	no	—
488	#2378	—	5	1	no	—
489	#2378	—	5	1	no	—
490	#2371	—	5	1	no	—
491	#2368	—	5	1	no	—
492	#2368	—	5	1	no	—
493	#2362	—	5	1	no	—
494	#2360	—	5	1	no	—
495	#2356	—	5	1	no	—
496	#2353	—	5	1	no	—
497	#2353	—	5	1	no	—
498	#2352	—	5	1	no	—
499	#2345	—	5	1	no	—
500	#2344	—	5	1	no	—
501	#2336	—	5	1	no	—
502	#2336	—	5	1	no	—
503	#2332	—	5	1	no	—
504	#2332	—	5	1	no	—
505	#2329	—	5	1	no	—
506	#2329	—	5	1	no	—
507	#2327	—	5	1	no	—
508	#2323	—	5	1	no	—
509	#2320	—	5	1	no	—
510	#2318	—	5	1	no	—
511	#2318	—	5	1	no	—
512	#2313	—	5	1	no	—
513	C₄×C₂²⋊Q₈	—	5	1	no	—
514	#2290	—	5	1	no	—
515	C₂×#387	—	5	1	no	—
516	C₂³×D₅	C₂⁴	1	1	yes	characteristic
517	C₂³×D₅	C₂⁴	1	1	yes	characteristic
518	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
519	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
520	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
521	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
522	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
523	C₂²×AGL(1,𝔽₅)	—	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)	C₂⁴	1	1	yes	characteristic
531	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
532	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
533	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
534	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
535	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
536	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
537	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
538	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
539	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
540	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
541	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
542	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
543	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
544	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
545	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
546	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
550	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
551	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
552	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
553	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
554	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
555	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
558	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
559	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
560	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
561	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
562	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
563	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
564	Q₈×D₅	—	4	1	no	—
565	Q₈×D₅	—	4	1	no	—
566	Q₈×D₅	—	4	1	no	—
567	Q₈×D₅	—	4	1	no	—
568	Q₈×D₅	—	4	1	no	—
569	Q₈×D₅	—	4	1	no	—
570	D₄×D₅	—	2	2	no	—
571	D₄×D₅	—	2	2	no	—
572	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₄×D₅	—	4	1	no	—
574	C₂×C₄×D₅	—	4	1	no	—
575	C₂×C₄×D₅	—	4	1	no	—
576	C₂×C₄×D₅	—	4	1	no	—
577	C₂×C₄×D₅	—	4	1	no	—
578	C₂×C₄×D₅	—	4	1	no	—
579	C₂×C₄×D₅	—	4	1	no	—
580	C₂×C₄×D₅	—	4	1	no	—
581	C₂×C₄×D₅	—	4	1	no	—
582	C₂×C₄×D₅	—	4	1	no	—
583	C₂×C₄×D₅	—	4	1	no	—
584	C₂×C₄×D₅	—	4	1	no	—
585	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
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	C₂⁴	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)	—	2	2	no	—
623	C₂²⋊AGL(1,𝔽₅)	—	2	2	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	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
632	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
633	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
634	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
635	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
636	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
637	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
638	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
639	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
640	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
641	C₄⋊AGL(1,𝔽₅)	—	4	1	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)	—	2	2	no	—
654	C₄×AGL(1,𝔽₅)	—	2	2	no	—
655	C₄×AGL(1,𝔽₅)	—	2	2	no	—
656	C₄×AGL(1,𝔽₅)	—	2	2	no	—
657	C₄×AGL(1,𝔽₅)	—	4	1	no	—
658	C₄×AGL(1,𝔽₅)	—	4	1	no	—
659	C₄×AGL(1,𝔽₅)	—	4	1	no	—
660	C₄×AGL(1,𝔽₅)	—	4	1	no	—
661	C₄×AGL(1,𝔽₅)	—	4	1	no	—
662	C₄×AGL(1,𝔽₅)	—	4	1	no	—
663	C₄×AGL(1,𝔽₅)	—	4	1	no	—
664	C₄×AGL(1,𝔽₅)	—	4	1	no	—
665	C₄×AGL(1,𝔽₅)	—	4	1	no	—
666	C₄×AGL(1,𝔽₅)	—	4	1	no	—
667	C₄×AGL(1,𝔽₅)	—	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	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
698	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
699	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
700	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
701	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
702	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
703	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
704	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
705	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
706	#685	C₂²×C₄	1	1	yes	characteristic
707	#685	C₂²×C₄	1	1	yes	characteristic
708	#685	C₂²×C₄	1	1	yes	characteristic
709	#685	C₂²×C₄	1	1	yes	characteristic
710	#685	C₂²×C₄	1	1	yes	characteristic
711	#685	C₂²×C₄	1	1	yes	characteristic
712	#685	C₂²×C₄	1	1	yes	characteristic
713	#685	C₂²×C₄	1	1	yes	characteristic
714	#685	C₂²×C₄	1	1	yes	characteristic
715	#685	C₂²×C₄	1	1	yes	characteristic
716	#685	C₂²×C₄	1	1	yes	characteristic
717	#685	C₂²×C₄	1	1	yes	characteristic
718	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
719	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
720	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
721	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
722	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
723	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
724	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
725	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
726	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
727	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
728	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
729	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
730	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
731	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
732	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
733	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
734	#683	C₂²×C₄	1	1	yes	characteristic
735	#683	C₂²×C₄	1	1	yes	characteristic
736	#683	C₂²×C₄	1	1	yes	characteristic
737	#683	C₂²×C₄	1	1	yes	characteristic
738	#683	C₂²×C₄	1	1	yes	characteristic
739	#683	C₂²×C₄	1	1	yes	characteristic
740	#683	C₂²×C₄	1	1	yes	characteristic
741	#683	C₂²×C₄	1	1	yes	characteristic
742	#683	C₂²×C₄	1	1	yes	characteristic
743	#683	C₂²×C₄	1	1	yes	characteristic
744	#683	C₂²×C₄	1	1	yes	characteristic
745	#683	C₂²×C₄	1	1	yes	characteristic
746	#683	C₂²×C₄	1	1	yes	characteristic
747	#683	C₂²×C₄	1	1	yes	characteristic
748	#683	C₂²×C₄	1	1	yes	characteristic
749	#683	C₂²×C₄	1	1	yes	characteristic
750	#683	C₂²×C₄	1	1	yes	characteristic
751	#683	C₂²×C₄	1	1	yes	characteristic
752	#683	C₂²×C₄	1	1	yes	characteristic
753	#683	C₂²×C₄	1	1	yes	characteristic
754	#683	C₂²×C₄	1	1	yes	characteristic
755	#683	C₂²×C₄	1	1	yes	characteristic
756	#683	C₂²×C₄	1	1	yes	characteristic
757	#683	C₂²×C₄	1	1	yes	characteristic
758	#683	C₂²×C₄	1	1	yes	characteristic
759	#683	C₂²×C₄	1	1	yes	characteristic
760	#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	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
767	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
768	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
769	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
770	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
771	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
772	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
773	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
774	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
775	#554	—	5	1	no	—
776	#554	—	5	1	no	—
777	#554	—	5	1	no	—
778	#554	—	5	1	no	—
779	#554	—	5	1	no	—
780	#554	—	5	1	no	—
781	#554	—	5	1	no	—
782	#554	—	5	1	no	—
783	#554	—	5	1	no	—
784	#554	—	5	1	no	—
785	#554	—	5	1	no	—
786	#554	—	5	1	no	—
787	#554	—	5	1	no	—
788	#554	—	5	1	no	—
789	#554	—	5	1	no	—
790	#554	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
791	C₂×C₄⋊Q₈	—	5	1	no	—
792	C₂×#125	—	5	1	no	—
793	C₂×#125	—	5	1	no	—
794	C₂×C₂²⋊Q₈	—	5	1	no	—
795	C₂×C₂²⋊Q₈	—	5	1	no	—
796	C₂×C₂²⋊Q₈	—	5	1	no	—
797	C₂×C₂²⋊Q₈	—	5	1	no	—
798	C₂×C₂²⋊Q₈	—	5	1	no	—
799	C₂×C₂²⋊Q₈	—	5	1	no	—
800	C₂×C₄×Q₈	—	5	1	no	—
801	C₂×C₄×Q₈	—	5	1	no	—
802	C₂×C₄×Q₈	—	5	1	no	—
803	C₂×C₄×D₄	—	5	1	no	—
804	C₂×C₄×D₄	—	5	1	no	—
805	C₂×C₄×D₄	—	5	1	no	—
806	C₂×#117	—	5	1	no	—
807	C₂×#117	—	5	1	no	—
808	C₂²×C₄⋊C₄	—	5	1	no	—
809	C₂²×C₄⋊C₄	—	5	1	no	—
810	C₂²×C₄⋊C₄	—	5	1	no	—
811	C₂²×C₄²	—	5	1	no	—
812	#391	—	5	1	no	—
813	#391	—	5	1	no	—
814	#391	—	5	1	no	—
815	#391	—	5	1	no	—
816	#391	—	5	1	no	—
817	#391	—	5	1	no	—
818	#391	—	5	1	no	—
819	#391	—	5	1	no	—
820	#391	—	5	1	no	—
821	#391	—	5	1	no	—
822	#389	—	5	1	no	—
823	#389	—	5	1	no	—
824	#389	—	5	1	no	—
825	#389	—	5	1	no	—
826	#389	—	5	1	no	—
827	#389	—	5	1	no	—
828	#389	—	5	1	no	—
829	#389	—	5	1	no	—
830	#389	—	5	1	no	—
831	#389	—	5	1	no	—
832	#388	—	5	1	no	—
833	#388	—	5	1	no	—
834	#388	—	5	1	no	—
835	#388	—	5	1	no	—
836	#388	—	5	1	no	—
837	#388	—	5	1	no	—
838	#388	—	5	1	no	—
839	#388	—	5	1	no	—
840	#388	—	5	1	no	—
841	#388	—	5	1	no	—
842	#388	—	5	1	no	—
843	#388	—	5	1	no	—
844	#387	—	5	1	no	—
845	#387	—	5	1	no	—
846	#387	—	5	1	no	—
847	#387	—	5	1	no	—
848	#387	—	5	1	no	—
849	#387	—	5	1	no	—
850	#387	—	5	1	no	—
851	#387	—	5	1	no	—
852	#387	—	5	1	no	—
853	#387	—	5	1	no	—
854	#387	—	5	1	no	—
855	#387	—	5	1	no	—
856	#387	—	5	1	no	—
857	#387	—	5	1	no	—
858	#387	—	5	1	no	—
859	#387	—	5	1	no	—
860	#387	—	5	1	no	—
861	#387	—	5	1	no	—
862	#387	—	5	1	no	—
863	#387	—	5	1	no	—
864	#387	—	5	1	no	—
865	#387	—	5	1	no	—
866	#387	—	5	1	no	—
867	#387	—	5	1	no	—
868	#387	—	5	1	no	—
869	#387	—	5	1	no	—
870	#387	—	5	1	no	—
871	#387	—	5	1	no	—
872	#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	#386	—	5	1	no	—
889	#386	—	5	1	no	—
890	#386	—	5	1	no	—
891	#386	—	5	1	no	—
892	#385	—	5	1	no	—
893	#385	—	5	1	no	—
894	#385	—	5	1	no	—
895	#385	—	5	1	no	—
896	#385	—	5	1	no	—
897	#385	—	5	1	no	—
898	#383	—	5	1	no	—
899	#383	—	5	1	no	—
900	#383	—	5	1	no	—
901	#383	—	5	1	no	—
902	#382	—	5	1	no	—
903	#382	—	5	1	no	—
904	#382	—	5	1	no	—
905	#381	—	5	1	no	—
906	#381	—	5	1	no	—
907	#381	—	5	1	no	—
908	#381	—	5	1	no	—
909	#380	—	5	1	no	—
910	#380	—	5	1	no	—
911	#380	—	5	1	no	—
912	#380	—	5	1	no	—
913	#380	—	5	1	no	—
914	#380	—	5	1	no	—
915	C₄×C₄⋊C₄	—	5	1	no	—
916	C₄×C₄⋊C₄	—	5	1	no	—
917	C₄×C₄⋊C₄	—	5	1	no	—
918	C₄×C₄⋊C₄	—	5	1	no	—
919	C₄×C₄⋊C₄	—	5	1	no	—
920	C₄×C₄⋊C₄	—	5	1	no	—
921	C₄×C₄⋊C₄	—	5	1	no	—
922	C₄×C₄⋊C₄	—	5	1	no	—
923	C₄×C₄⋊C₄	—	5	1	no	—
924	C₄×C₄⋊C₄	—	5	1	no	—
925	C₄×C₄⋊C₄	—	5	1	no	—
926	C₄×C₄⋊C₄	—	5	1	no	—
927	C₄×C₂²⋊C₄	—	5	1	no	—
928	C₄×C₂²⋊C₄	—	5	1	no	—
929	C₄×C₂²⋊C₄	—	5	1	no	—
930	C₄×C₂²⋊C₄	—	5	1	no	—
931	C₄×C₂²⋊C₄	—	5	1	no	—
932	C₄×C₂²⋊C₄	—	5	1	no	—
933	C₄×C₂²⋊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	#376	—	5	1	no	—
940	#376	—	5	1	no	—
941	#376	—	5	1	no	—
942	C₂×#95	—	5	1	no	—
943	C₂×#95	—	5	1	no	—
944	C₂×#95	—	5	1	no	—
945	C₂×#95	—	5	1	no	—
946	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
947	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
948	C₂²×D₅	—	2	1	no	—
949	C₂²×D₅	—	2	1	no	—
950	C₂²×D₅	—	2	1	no	—
951	C₂²×D₅	—	2	1	no	—
952	C₂²×D₅	—	2	1	no	—
953	C₂²×D₅	—	2	1	no	—
954	C₂²×D₅	—	2	1	no	—
955	C₂²×D₅	—	2	1	no	—
956	C₂²×D₅	—	2	1	no	—
957	C₂²×D₅	—	2	1	no	—
958	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
959	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
960	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
961	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
962	C₂²×D₅	C₂⁵	1	1	yes	characteristic
963	C₂×AGL(1,𝔽₅)	—	2	1	no	—
964	C₂×AGL(1,𝔽₅)	—	2	1	no	—
965	C₂×AGL(1,𝔽₅)	—	2	1	no	—
966	C₂×AGL(1,𝔽₅)	—	2	1	no	—
967	C₂×AGL(1,𝔽₅)	—	2	1	no	—
968	C₂×AGL(1,𝔽₅)	—	2	1	no	—
969	C₂×AGL(1,𝔽₅)	—	2	1	no	—
970	C₂×AGL(1,𝔽₅)	—	2	1	no	—
971	C₂×AGL(1,𝔽₅)	—	2	1	no	—
972	C₂×AGL(1,𝔽₅)	—	2	1	no	—
973	C₂×AGL(1,𝔽₅)	—	2	1	no	—
974	C₂×AGL(1,𝔽₅)	—	2	1	no	—
975	C₂×AGL(1,𝔽₅)	—	2	1	no	—
976	C₂×AGL(1,𝔽₅)	—	2	1	no	—
977	C₂×AGL(1,𝔽₅)	—	2	1	no	—
978	C₂×AGL(1,𝔽₅)	—	2	1	no	—
979	C₂×AGL(1,𝔽₅)	—	2	1	no	—
980	C₂×AGL(1,𝔽₅)	—	2	1	no	—
981	C₂×AGL(1,𝔽₅)	—	2	1	no	—
982	C₂×AGL(1,𝔽₅)	—	2	1	no	—
983	C₂×AGL(1,𝔽₅)	—	2	1	no	—
984	C₂×AGL(1,𝔽₅)	—	2	1	no	—
985	C₂×AGL(1,𝔽₅)	—	2	1	no	—
986	C₂×AGL(1,𝔽₅)	—	2	1	no	—
987	C₂×AGL(1,𝔽₅)	—	2	1	no	—
988	C₂×AGL(1,𝔽₅)	—	2	1	no	—
989	C₂×AGL(1,𝔽₅)	—	2	1	no	—
990	C₂×AGL(1,𝔽₅)	—	2	1	no	—
991	C₂×AGL(1,𝔽₅)	—	2	1	no	—
992	C₂×AGL(1,𝔽₅)	—	2	1	no	—
993	C₂×AGL(1,𝔽₅)	—	2	1	no	—
994	C₂×AGL(1,𝔽₅)	—	2	1	no	—
995	C₂×AGL(1,𝔽₅)	—	2	1	no	—
996	C₂×AGL(1,𝔽₅)	—	2	1	no	—
997	C₂×AGL(1,𝔽₅)	—	2	1	no	—
998	C₂×AGL(1,𝔽₅)	—	2	1	no	—
999	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1000	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1001	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1002	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1003	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1004	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1005	C₂×AGL(1,𝔽₅)	—	2	1	no	—
1006	C₂×AGL(1,𝔽₅)	—	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)	—	4	4	no	—
1011	C₂×AGL(1,𝔽₅)	—	4	4	no	—
1012	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1013	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1014	C₂×AGL(1,𝔽₅)	H(5,𝔽₂)	1	2	yes	—
1015	C₅×Q₈	—	4	1	no	—
1016	C₅×Q₈	—	4	1	no	—
1017	C₅×Q₈	—	4	1	no	—
1018	C₅×D₄	—	2	2	no	—
1019	C₂×C₄×C₅	—	4	1	no	—
1020	C₂×C₄×C₅	—	4	1	no	—
1021	C₂×C₄×C₅	—	4	1	no	—
1022	C₂×C₄×C₅	—	4	1	no	—
1023	C₂×C₄×C₅	—	4	1	no	—
1024	C₂×C₄×C₅	—	4	1	no	—
1025	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1026	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1027	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1028	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1029	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1030	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1031	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1032	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1033	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1034	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1035	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1036	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1037	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1038	C₂²⋊D₅	—	2	2	no	—
1039	C₂²⋊D₅	—	2	2	no	—
1040	C₂×Dic₅	—	4	1	no	—
1041	C₂×Dic₅	—	4	1	no	—
1042	C₂×Dic₅	—	4	1	no	—
1043	C₂×Dic₅	—	4	1	no	—
1044	C₂×Dic₅	—	4	1	no	—
1045	C₂×Dic₅	—	4	1	no	—
1046	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1047	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1048	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1049	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1050	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1051	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1052	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1053	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1054	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1055	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1056	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1057	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1058	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1059	D₂₀	—	2	2	no	—
1060	C₄×D₅	—	2	1	no	—
1061	C₄×D₅	—	2	1	no	—
1062	C₄×D₅	—	2	1	no	—
1063	C₄×D₅	—	2	1	no	—
1064	C₄×D₅	—	2	1	no	—
1065	C₄×D₅	—	2	1	no	—
1066	C₄×D₅	—	2	1	no	—
1067	C₄×D₅	—	2	1	no	—
1068	C₄×D₅	—	2	1	no	—
1069	C₄×D₅	—	2	1	no	—
1070	C₄×D₅	—	2	1	no	—
1071	C₄×D₅	—	2	1	no	—
1072	C₄×D₅	—	2	1	no	—
1073	C₄×D₅	—	2	1	no	—
1074	C₄×D₅	—	2	1	no	—
1075	C₄×D₅	—	2	1	no	—
1076	C₄×D₅	—	2	1	no	—
1077	C₄×D₅	—	2	1	no	—
1078	C₄×D₅	—	2	1	no	—
1079	C₄×D₅	—	2	1	no	—
1080	C₄×D₅	—	2	1	no	—
1081	C₄×D₅	—	2	1	no	—
1082	C₄×D₅	—	2	1	no	—
1083	C₄×D₅	—	2	1	no	—
1084	C₄×D₅	—	2	1	no	—
1085	C₄×D₅	—	2	1	no	—
1086	C₄×D₅	—	4	1	no	—
1087	C₄×D₅	—	4	1	no	—
1088	C₄×D₅	—	4	1	no	—
1089	C₄×D₅	—	4	1	no	—
1090	C₄×D₅	—	4	1	no	—
1091	C₄×D₅	—	4	1	no	—
1092	C₄×D₅	—	4	1	no	—
1093	C₄×D₅	—	4	1	no	—
1094	C₄×D₅	—	4	1	no	—
1095	C₄×D₅	—	4	1	no	—
1096	C₄×D₅	—	4	1	no	—
1097	C₄×D₅	—	4	1	no	—
1098	Dic₁₀	—	4	1	no	—
1099	Dic₁₀	—	4	1	no	—
1100	Dic₁₀	—	4	1	no	—
1101	Dic₁₀	—	4	1	no	—
1102	Dic₁₀	—	4	1	no	—
1103	Dic₁₀	—	4	1	no	—
1104	Dic₁₀	—	4	1	no	—
1105	Dic₁₀	—	4	1	no	—
1106	Dic₁₀	—	4	1	no	—
1107	C₂²×Q₈	—	5	1	no	—
1108	C₂²×Q₈	—	5	1	no	—
1109	C₂²×Q₈	—	5	1	no	—
1110	C₂²×D₄	—	5	1	no	—
1111	C₂³×C₄	—	5	1	no	—
1112	C₂³×C₄	—	5	1	no	—
1113	C₂³×C₄	—	5	1	no	—
1114	C₂³×C₄	—	5	1	no	—
1115	C₂³×C₄	—	5	1	no	—
1116	C₂³×C₄	—	5	1	no	—
1117	C₂³×C₄	—	5	1	no	—
1118	C₂³×C₄	—	5	1	no	—
1119	C₂³×C₄	—	5	1	no	—
1120	C₂³×C₄	—	5	1	no	—
1121	C₄⋊Q₈	—	5	1	no	—
1122	C₄⋊Q₈	—	5	1	no	—
1123	C₄⋊Q₈	—	5	1	no	—
1124	C₄⋊Q₈	—	5	1	no	—
1125	C₄⋊Q₈	—	5	1	no	—
1126	C₄⋊Q₈	—	5	1	no	—
1127	C₄⋊Q₈	—	5	1	no	—
1128	C₄⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1129	#125	—	5	1	no	—
1130	#125	—	5	1	no	—
1131	#125	—	5	1	no	—
1132	#125	—	5	1	no	—
1133	#125	—	5	1	no	—
1134	#125	—	5	1	no	—
1135	#125	—	5	1	no	—
1136	#125	—	5	1	no	—
1137	#125	—	5	1	no	—
1138	#125	—	5	1	no	—
1139	#125	—	5	1	no	—
1140	#125	—	5	1	no	—
1141	#125	—	5	1	no	—
1142	#125	—	5	1	no	—
1143	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1144	#125	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1145	C₂²⋊Q₈	—	5	1	no	—
1146	C₂²⋊Q₈	—	5	1	no	—
1147	C₂²⋊Q₈	—	5	1	no	—
1148	C₂²⋊Q₈	—	5	1	no	—
1149	C₂²⋊Q₈	—	5	1	no	—
1150	C₂²⋊Q₈	—	5	1	no	—
1151	C₂²⋊Q₈	—	5	1	no	—
1152	C₂²⋊Q₈	—	5	1	no	—
1153	C₂²⋊Q₈	—	5	1	no	—
1154	C₂²⋊Q₈	—	5	1	no	—
1155	C₂²⋊Q₈	—	5	1	no	—
1156	C₂²⋊Q₈	—	5	1	no	—
1157	C₂²⋊Q₈	—	5	1	no	—
1158	C₂²⋊Q₈	—	5	1	no	—
1159	C₂²⋊Q₈	—	5	1	no	—
1160	C₂²⋊Q₈	—	5	1	no	—
1161	C₂²⋊Q₈	—	5	1	no	—
1162	C₂²⋊Q₈	—	5	1	no	—
1163	C₂²⋊Q₈	—	5	1	no	—
1164	C₂²⋊Q₈	—	5	1	no	—
1165	C₂²⋊Q₈	—	5	1	no	—
1166	C₂²⋊Q₈	—	5	1	no	—
1167	C₂²⋊Q₈	—	5	1	no	—
1168	C₂²⋊Q₈	—	5	1	no	—
1169	C₂²⋊Q₈	—	5	1	no	—
1170	C₂²⋊Q₈	—	5	1	no	—
1171	C₂²⋊Q₈	—	5	1	no	—
1172	C₂²⋊Q₈	—	5	1	no	—
1173	C₂²⋊Q₈	—	5	1	no	—
1174	C₂²⋊Q₈	—	5	1	no	—
1175	C₂²⋊Q₈	—	5	1	no	—
1176	C₂²⋊Q₈	—	5	1	no	—
1177	C₂²⋊Q₈	—	5	1	no	—
1178	C₂²⋊Q₈	—	5	1	no	—
1179	C₂²⋊Q₈	—	5	1	no	—
1180	C₂²⋊Q₈	—	5	1	no	—
1181	C₂²⋊Q₈	—	5	1	no	—
1182	C₂²⋊Q₈	—	5	1	no	—
1183	C₂²⋊Q₈	—	5	1	no	—
1184	C₂²⋊Q₈	—	5	1	no	—
1185	C₂²⋊Q₈	—	5	1	no	—
1186	C₂²⋊Q₈	—	5	1	no	—
1187	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1188	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1189	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1190	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1191	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1192	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1193	C₄×Q₈	—	5	1	no	—
1194	C₄×Q₈	—	5	1	no	—
1195	C₄×Q₈	—	5	1	no	—
1196	C₄×Q₈	—	5	1	no	—
1197	C₄×Q₈	—	5	1	no	—
1198	C₄×Q₈	—	5	1	no	—
1199	C₄×Q₈	—	5	1	no	—
1200	C₄×Q₈	—	20	2	no	—
1201	C₄×Q₈	—	20	2	no	—
1202	C₄×Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1203	C₄×D₄	—	5	1	no	—
1204	C₄×D₄	—	5	1	no	—
1205	C₄×D₄	—	5	1	no	—
1206	C₄×D₄	—	5	1	no	—
1207	C₄×D₄	—	5	1	no	—
1208	C₄×D₄	—	5	1	no	—
1209	C₄×D₄	—	5	1	no	—
1210	C₄×D₄	—	5	1	no	—
1211	C₄×D₄	—	5	1	no	—
1212	C₄×D₄	—	5	1	no	—
1213	C₄×D₄	—	5	1	no	—
1214	C₄×D₄	—	5	1	no	—
1215	C₄×D₄	—	5	1	no	—
1216	C₄×D₄	—	5	1	no	—
1217	C₄×D₄	—	5	1	no	—
1218	C₄×D₄	—	5	1	no	—
1219	C₄×D₄	—	5	1	no	—
1220	C₄×D₄	—	5	1	no	—
1221	C₄×D₄	—	5	1	no	—
1222	C₄×D₄	—	5	1	no	—
1223	C₄×D₄	—	5	1	no	—
1224	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1225	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1226	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1227	#117	—	20	2	no	—
1228	#117	—	20	2	no	—
1229	C₂×C₄⋊C₄	—	5	1	no	—
1230	C₂×C₄⋊C₄	—	5	1	no	—
1231	C₂×C₄⋊C₄	—	5	1	no	—
1232	C₂×C₄⋊C₄	—	5	1	no	—
1233	C₂×C₄⋊C₄	—	5	1	no	—
1234	C₂×C₄⋊C₄	—	5	1	no	—
1235	C₂×C₄⋊C₄	—	5	1	no	—
1236	C₂×C₄⋊C₄	—	5	1	no	—
1237	C₂×C₄⋊C₄	—	5	1	no	—
1238	C₂×C₄⋊C₄	—	5	1	no	—
1239	C₂×C₄⋊C₄	—	5	1	no	—
1240	C₂×C₄⋊C₄	—	5	1	no	—
1241	C₂×C₄⋊C₄	—	5	1	no	—
1242	C₂×C₄⋊C₄	—	5	1	no	—
1243	C₂×C₄⋊C₄	—	5	1	no	—
1244	C₂×C₄⋊C₄	—	5	1	no	—
1245	C₂×C₄⋊C₄	—	5	1	no	—
1246	C₂×C₄⋊C₄	—	5	1	no	—
1247	C₂×C₄⋊C₄	—	5	1	no	—
1248	C₂×C₄⋊C₄	—	5	1	no	—
1249	C₂×C₄⋊C₄	—	5	1	no	—
1250	C₂×C₄⋊C₄	—	5	1	no	—
1251	C₂×C₄⋊C₄	—	5	1	no	—
1252	C₂×C₄⋊C₄	—	5	1	no	—
1253	C₂×C₄⋊C₄	—	5	1	no	—
1254	C₂×C₄⋊C₄	—	5	1	no	—
1255	C₂×C₄⋊C₄	—	5	1	no	—
1256	C₂×C₄⋊C₄	—	5	1	no	—
1257	C₂×C₄⋊C₄	—	5	1	no	—
1258	C₂×C₄⋊C₄	—	5	1	no	—
1259	C₂×C₄⋊C₄	—	5	1	no	—
1260	C₂×C₄⋊C₄	—	5	1	no	—
1261	C₂×C₄⋊C₄	—	5	1	no	—
1262	C₂×C₄⋊C₄	—	5	1	no	—
1263	C₂×C₄⋊C₄	—	5	1	no	—
1264	C₂×C₄⋊C₄	—	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	—	20	2	no	—
1282	C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1283	C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1284	C₂×C₂²⋊C₄	—	5	1	no	—
1285	C₂×C₂²⋊C₄	—	5	1	no	—
1286	C₂×C₂²⋊C₄	—	5	1	no	—
1287	C₂×C₂²⋊C₄	—	5	1	no	—
1288	C₂×C₂²⋊C₄	—	5	1	no	—
1289	C₂×C₂²⋊C₄	—	5	1	no	—
1290	C₂×C₂²⋊C₄	—	5	1	no	—
1291	C₂×C₂²⋊C₄	—	5	1	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×C₄²	—	5	1	no	—
1303	C₂×C₄²	—	5	1	no	—
1304	C₂×C₄²	—	5	1	no	—
1305	C₂×C₄²	—	5	1	no	—
1306	C₂×C₄²	—	5	1	no	—
1307	C₂×C₄²	—	5	1	no	—
1308	C₂×C₄²	—	5	1	no	—
1309	C₂×C₄²	—	5	1	no	—
1310	C₂×C₄²	—	5	1	no	—
1311	C₂×C₄²	—	5	1	no	—
1312	C₂×C₄²	—	5	1	no	—
1313	C₂×C₄²	—	5	1	no	—
1314	C₂×C₄²	—	5	1	no	—
1315	C₂×C₄²	—	5	1	no	—
1316	C₂×C₄²	—	5	1	no	—
1317	C₂×C₄²	—	5	1	no	—
1318	C₂×C₄²	—	5	1	no	—
1319	C₂×C₄²	—	5	1	no	—
1320	C₂×C₄²	—	5	1	no	—
1321	C₂×C₄²	—	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	—	20	2	no	—
1328	#95	—	5	1	no	—
1329	#95	—	5	1	no	—
1330	#95	—	5	1	no	—
1331	#95	—	5	1	no	—
1332	#95	—	5	1	no	—
1333	#95	—	5	1	no	—
1334	#95	—	5	1	no	—
1335	#95	—	5	1	no	—
1336	#95	—	5	1	no	—
1337	#95	—	5	1	no	—
1338	#95	—	5	1	no	—
1339	#95	—	5	1	no	—
1340	#95	—	5	1	no	—
1341	#95	—	5	1	no	—
1342	#95	—	5	1	no	—
1343	#95	—	5	1	no	—
1344	#95	—	5	1	no	—
1345	#95	—	5	1	no	—
1346	#95	—	5	1	no	—
1347	#95	—	5	1	no	—
1348	#95	—	5	1	no	—
1349	#95	—	5	1	no	—
1350	#95	—	5	1	no	—
1351	#95	—	5	1	no	—
1352	#95	—	5	1	no	—
1353	#95	—	5	1	no	—
1354	#95	—	5	1	no	—
1355	#95	—	5	1	no	—
1356	#95	—	5	1	no	—
1357	#95	—	5	1	no	—
1358	#95	—	5	1	no	—
1359	#95	—	5	1	no	—
1360	#95	—	5	1	no	—
1361	#95	—	5	1	no	—
1362	#95	—	5	1	no	—
1363	#95	—	5	1	no	—
1364	#95	—	5	1	no	—
1365	#95	—	5	1	no	—
1366	#95	—	5	1	no	—
1367	#95	—	5	1	no	—
1368	#95	—	5	1	no	—
1369	#95	—	5	1	no	—
1370	#95	—	5	1	no	—
1371	#95	—	5	1	no	—
1372	#95	—	5	1	no	—
1373	#95	—	5	1	no	—
1374	#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	C₂²×C₅	—	2	1	no	—
1389	C₂²×C₅	—	2	1	no	—
1390	C₂²×C₅	—	2	1	no	—
1391	C₂²×C₅	—	2	1	no	—
1392	C₂²×C₅	—	2	1	no	—
1393	C₂²×C₅	#519	1	2	yes	—
1394	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1395	C₂×D₅	—	2	1	no	—
1396	C₂×D₅	—	2	1	no	—
1397	C₂×D₅	—	2	2	no	—
1398	C₂×D₅	—	2	2	no	—
1399	C₂×D₅	—	2	2	no	—
1400	C₂×D₅	—	2	2	no	—
1401	C₂×D₅	—	2	1	no	—
1402	C₂×D₅	—	2	1	no	—
1403	C₂×D₅	—	2	1	no	—
1404	C₂×D₅	—	4	1	no	—
1405	C₂×D₅	—	4	1	no	—
1406	C₂×D₅	—	4	1	no	—
1407	C₂×D₅	—	4	1	no	—
1408	C₂×D₅	#519	1	2	yes	—
1409	C₂×D₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1410	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1411	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1412	C₂×D₅	#585	1	1	yes	characteristic
1413	C₂×D₅	#585	1	1	yes	characteristic
1414	C₂×D₅	#585	1	1	yes	characteristic
1415	AGL(1,𝔽₅)	—	2	2	no	—
1416	AGL(1,𝔽₅)	—	4	1	no	—
1417	AGL(1,𝔽₅)	—	4	1	no	—
1418	AGL(1,𝔽₅)	—	4	1	no	—
1419	AGL(1,𝔽₅)	—	4	1	no	—
1420	AGL(1,𝔽₅)	—	4	1	no	—
1421	AGL(1,𝔽₅)	—	4	1	no	—
1422	AGL(1,𝔽₅)	—	4	1	no	—
1423	AGL(1,𝔽₅)	—	4	1	no	—
1424	AGL(1,𝔽₅)	—	4	1	no	—
1425	AGL(1,𝔽₅)	—	4	1	no	—
1426	AGL(1,𝔽₅)	—	4	1	no	—
1427	AGL(1,𝔽₅)	—	4	1	no	—
1428	AGL(1,𝔽₅)	—	4	1	no	—
1429	AGL(1,𝔽₅)	—	4	1	no	—
1430	AGL(1,𝔽₅)	—	4	1	no	—
1431	C₄×C₅	—	2	1	no	—
1432	C₄×C₅	—	2	1	no	—
1433	C₄×C₅	—	2	1	no	—
1434	C₄×C₅	—	2	1	no	—
1435	C₄×C₅	—	2	1	no	—
1436	C₄×C₅	—	2	1	no	—
1437	C₄×C₅	—	2	1	no	—
1438	C₄×C₅	—	2	1	no	—
1439	C₄×C₅	—	2	1	no	—
1440	C₄×C₅	—	2	1	no	—
1441	C₄×C₅	—	2	1	no	—
1442	C₄×C₅	—	2	1	no	—
1443	C₄×C₅	—	2	1	no	—
1444	Dic₅	—	2	1	no	—
1445	Dic₅	—	2	1	no	—
1446	Dic₅	—	2	1	no	—
1447	Dic₅	—	2	1	no	—
1448	Dic₅	—	2	1	no	—
1449	Dic₅	—	2	1	no	—
1450	Dic₅	—	2	1	no	—
1451	Dic₅	—	2	1	no	—
1452	Dic₅	—	2	1	no	—
1453	Dic₅	—	2	1	no	—
1454	Dic₅	—	2	1	no	—
1455	Dic₅	—	2	1	no	—
1456	Dic₅	—	2	1	no	—
1457	C₂⁴	—	5	1	no	—
1458	C₂⁴	—	5	1	no	—
1459	C₂×Q₈	—	5	1	no	—
1460	C₂×Q₈	—	5	1	no	—
1461	C₂×Q₈	—	5	1	no	—
1462	C₂×Q₈	—	5	1	no	—
1463	C₂×Q₈	—	5	1	no	—
1464	C₂×Q₈	—	5	1	no	—
1465	C₂×Q₈	—	5	1	no	—
1466	C₂×Q₈	—	5	1	no	—
1467	C₂×Q₈	—	5	1	no	—
1468	C₂×Q₈	—	20	1	no	—
1469	C₂×Q₈	—	20	1	no	—
1470	C₂×Q₈	—	20	1	no	—
1471	C₂×Q₈	—	20	1	no	—
1472	C₂×Q₈	—	20	1	no	—
1473	C₂×Q₈	—	20	1	no	—
1474	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1475	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1476	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1477	C₂×D₄	—	5	1	no	—
1478	C₂×D₄	—	5	1	no	—
1479	C₂×D₄	—	5	1	no	—
1480	C₂×D₄	—	10	2	no	—
1481	C₂×D₄	—	10	2	no	—
1482	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1483	C₂²×C₄	—	5	1	no	—
1484	C₂²×C₄	—	5	1	no	—
1485	C₂²×C₄	—	5	1	no	—
1486	C₂²×C₄	—	5	1	no	—
1487	C₂²×C₄	—	5	1	no	—
1488	C₂²×C₄	—	5	1	no	—
1489	C₂²×C₄	—	5	1	no	—
1490	C₂²×C₄	—	5	1	no	—
1491	C₂²×C₄	—	5	1	no	—
1492	C₂²×C₄	—	5	1	no	—
1493	C₂²×C₄	—	5	1	no	—
1494	C₂²×C₄	—	5	1	no	—
1495	C₂²×C₄	—	5	1	no	—
1496	C₂²×C₄	—	5	1	no	—
1497	C₂²×C₄	—	5	1	no	—
1498	C₂²×C₄	—	5	1	no	—
1499	C₂²×C₄	—	5	1	no	—
1500	C₂²×C₄	—	5	1	no	—
1501	C₂²×C₄	—	5	1	no	—
1502	C₂²×C₄	—	5	1	no	—
1503	C₂²×C₄	—	5	1	no	—
1504	C₂²×C₄	—	5	1	no	—
1505	C₂²×C₄	—	5	1	no	—
1506	C₂²×C₄	—	5	1	no	—
1507	C₂²×C₄	—	5	1	no	—
1508	C₂²×C₄	—	5	1	no	—
1509	C₂²×C₄	—	5	1	no	—
1510	C₂²×C₄	—	5	1	no	—
1511	C₂²×C₄	—	5	1	no	—
1512	C₂²×C₄	—	5	1	no	—
1513	C₂²×C₄	—	5	1	no	—
1514	C₂²×C₄	—	5	1	no	—
1515	C₂²×C₄	—	5	1	no	—
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	—	10	2	no	—
1531	C₂²×C₄	—	10	2	no	—
1532	C₂²×C₄	—	10	2	no	—
1533	C₂²×C₄	—	10	2	no	—
1534	C₂²×C₄	—	10	2	no	—
1535	C₂²×C₄	—	20	1	no	—
1536	C₂²×C₄	—	20	1	no	—
1537	C₂²×C₄	—	20	1	no	—
1538	C₂²×C₄	—	20	1	no	—
1539	C₂²×C₄	—	20	1	no	—
1540	C₂²×C₄	—	20	1	no	—
1541	C₂²×C₄	—	20	1	no	—
1542	C₂²×C₄	—	20	1	no	—
1543	C₂²×C₄	—	20	1	no	—
1544	C₂²×C₄	—	20	1	no	—
1545	C₂²×C₄	—	20	1	no	—
1546	C₂²×C₄	—	20	1	no	—
1547	C₂²×C₄	—	20	1	no	—
1548	C₂²×C₄	—	20	1	no	—
1549	C₂²×C₄	—	20	1	no	—
1550	C₂²×C₄	—	20	1	no	—
1551	C₂²×C₄	—	20	1	no	—
1552	C₂²×C₄	—	20	1	no	—
1553	C₂²×C₄	—	20	1	no	—
1554	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1555	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1556	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1557	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1558	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1559	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1560	C₄⋊C₄	—	5	1	no	—
1561	C₄⋊C₄	—	5	1	no	—
1562	C₄⋊C₄	—	5	1	no	—
1563	C₄⋊C₄	—	5	1	no	—
1564	C₄⋊C₄	—	5	1	no	—
1565	C₄⋊C₄	—	5	1	no	—
1566	C₄⋊C₄	—	5	1	no	—
1567	C₄⋊C₄	—	5	1	no	—
1568	C₄⋊C₄	—	5	1	no	—
1569	C₄⋊C₄	—	5	1	no	—
1570	C₄⋊C₄	—	5	1	no	—
1571	C₄⋊C₄	—	5	1	no	—
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	5	1	no	—
1576	C₄⋊C₄	—	5	1	no	—
1577	C₄⋊C₄	—	5	1	no	—
1578	C₄⋊C₄	—	5	1	no	—
1579	C₄⋊C₄	—	5	1	no	—
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	—	10	2	no	—
1609	C₄⋊C₄	—	10	2	no	—
1610	C₄⋊C₄	—	10	2	no	—
1611	C₄⋊C₄	—	20	1	no	—
1612	C₄⋊C₄	—	20	1	no	—
1613	C₄⋊C₄	—	20	1	no	—
1614	C₄⋊C₄	—	20	1	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	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1631	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
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	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1643	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1644	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1645	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
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	—	10	2	no	—
1665	C₂²⋊C₄	—	10	2	no	—
1666	C₂²⋊C₄	—	10	2	no	—
1667	C₂²⋊C₄	—	10	2	no	—
1668	C₂²⋊C₄	—	10	2	no	—
1669	C₂²⋊C₄	—	20	1	no	—
1670	C₂²⋊C₄	—	20	1	no	—
1671	C₂²⋊C₄	—	20	1	no	—
1672	C₂²⋊C₄	—	20	1	no	—
1673	C₂²⋊C₄	—	20	1	no	—
1674	C₂²⋊C₄	—	20	1	no	—
1675	C₂²⋊C₄	—	20	1	no	—
1676	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1677	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1678	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1679	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1680	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1681	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1682	C₄²	—	5	1	no	—
1683	C₄²	—	5	1	no	—
1684	C₄²	—	5	1	no	—
1685	C₄²	—	5	1	no	—
1686	C₄²	—	5	1	no	—
1687	C₄²	—	5	1	no	—
1688	C₄²	—	5	1	no	—
1689	C₄²	—	5	1	no	—
1690	C₄²	—	5	1	no	—
1691	C₄²	—	10	2	no	—
1692	C₄²	—	10	2	no	—
1693	C₄²	—	10	2	no	—
1694	C₄²	—	10	2	no	—
1695	C₄²	—	20	1	no	—
1696	C₄²	—	20	1	no	—
1697	C₄²	—	20	1	no	—
1698	C₄²	—	20	1	no	—
1699	C₄²	—	20	1	no	—
1700	C₄²	—	20	1	no	—
1701	C₄²	—	20	1	no	—
1702	C₄²	—	20	1	no	—
1703	C₄²	—	20	1	no	—
1704	C₄²	—	20	1	no	—
1705	C₄²	—	20	1	no	—
1706	C₄²	—	20	1	no	—
1707	C₄²	—	20	1	no	—
1708	C₄²	—	20	1	no	—
1709	C₄²	—	20	1	no	—
1710	C₄²	—	20	1	no	—
1711	C₄²	—	20	1	no	—
1712	C₄²	—	20	1	no	—
1713	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1714	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1715	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1716	C₂×C₅	—	2	2	no	—
1717	C₂×C₅	—	4	1	no	—
1718	C₂×C₅	C₂×#519	1	1	yes	characteristic
1719	C₂×C₅	#3428	1	1	yes	characteristic
1720	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1721	D₅	—	2	2	no	—
1722	D₅	—	4	1	no	—
1723	D₅	#3535	1	1	yes	characteristic
1724	D₅	#3541	1	1	yes	characteristic
1725	D₅	#3553	1	1	yes	characteristic
1726	D₅	#3564	1	1	yes	characteristic
1727	C₂³	—	5	1	no	—
1728	C₂³	—	5	2	no	—
1729	C₂³	—	5	2	no	—
1730	C₂³	—	5	1	no	—
1731	C₂³	—	5	1	no	—
1732	C₂³	—	10	1	no	—
1733	C₂³	—	10	1	no	—
1734	C₂³	—	10	1	no	—
1735	C₂³	—	10	1	no	—
1736	C₂³	—	10	1	no	—
1737	C₂³	—	10	1	no	—
1738	C₂³	—	10	1	no	—
1739	C₂³	—	10	1	no	—
1740	C₂³	—	10	1	no	—
1741	C₂³	—	10	1	no	—
1742	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1743	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1744	Q₈	—	4	1	no	—
1745	Q₈	—	4	1	no	—
1746	Q₈	—	4	1	no	—
1747	Q₈	—	20	1	no	—
1748	Q₈	—	20	1	no	—
1749	Q₈	—	20	1	no	—
1750	Q₈	—	20	1	no	—
1751	Q₈	—	20	1	no	—
1752	Q₈	—	20	1	no	—
1753	Q₈	—	20	1	no	—
1754	Q₈	—	20	1	no	—
1755	Q₈	—	20	1	no	—
1756	D₄	—	2	2	no	—
1757	D₄	—	10	2	no	—
1758	D₄	—	10	2	no	—
1759	D₄	—	10	2	no	—
1760	C₂×C₄	—	4	1	no	—
1761	C₂×C₄	—	4	1	no	—
1762	C₂×C₄	—	4	1	no	—
1763	C₂×C₄	—	4	1	no	—
1764	C₂×C₄	—	4	1	no	—
1765	C₂×C₄	—	4	1	no	—
1766	C₂×C₄	—	5	2	no	—
1767	C₂×C₄	—	5	1	no	—
1768	C₂×C₄	—	5	1	no	—
1769	C₂×C₄	—	5	1	no	—
1770	C₂×C₄	—	5	1	no	—
1771	C₂×C₄	—	5	1	no	—
1772	C₂×C₄	—	5	1	no	—
1773	C₂×C₄	—	5	1	no	—
1774	C₂×C₄	—	5	1	no	—
1775	C₂×C₄	—	5	1	no	—
1776	C₂×C₄	—	5	1	no	—
1777	C₂×C₄	—	5	1	no	—
1778	C₂×C₄	—	5	1	no	—
1779	C₂×C₄	—	5	1	no	—
1780	C₂×C₄	—	10	1	no	—
1781	C₂×C₄	—	10	1	no	—
1782	C₂×C₄	—	10	1	no	—
1783	C₂×C₄	—	10	1	no	—
1784	C₂×C₄	—	10	1	no	—
1785	C₂×C₄	—	10	1	no	—
1786	C₂×C₄	—	10	1	no	—
1787	C₂×C₄	—	10	1	no	—
1788	C₂×C₄	—	10	1	no	—
1789	C₂×C₄	—	10	1	no	—
1790	C₂×C₄	—	10	1	no	—
1791	C₂×C₄	—	10	1	no	—
1792	C₂×C₄	—	10	1	no	—
1793	C₂×C₄	—	10	1	no	—
1794	C₂×C₄	—	10	1	no	—
1795	C₂×C₄	—	10	1	no	—
1796	C₂×C₄	—	10	1	no	—
1797	C₂×C₄	—	10	1	no	—
1798	C₂×C₄	—	10	1	no	—
1799	C₂×C₄	—	10	1	no	—
1800	C₂×C₄	—	10	1	no	—
1801	C₂×C₄	—	10	1	no	—
1802	C₂×C₄	—	10	1	no	—
1803	C₂×C₄	—	10	1	no	—
1804	C₂×C₄	—	10	1	no	—
1805	C₂×C₄	—	10	1	no	—
1806	C₂×C₄	—	10	1	no	—
1807	C₂×C₄	—	10	1	no	—
1808	C₂×C₄	—	10	1	no	—
1809	C₂×C₄	—	10	1	no	—
1810	C₂×C₄	—	10	1	no	—
1811	C₂×C₄	—	10	1	no	—
1812	C₂×C₄	—	10	1	no	—
1813	C₂×C₄	—	10	1	no	—
1814	C₂×C₄	—	10	1	no	—
1815	C₂×C₄	—	10	1	no	—
1816	C₂×C₄	—	10	1	no	—
1817	C₂×C₄	—	10	1	no	—
1818	C₂×C₄	—	10	1	no	—
1819	C₂×C₄	—	10	1	no	—
1820	C₂×C₄	—	10	1	no	—
1821	C₂×C₄	—	10	1	no	—
1822	C₂×C₄	—	10	1	no	—
1823	C₂×C₄	—	10	1	no	—
1824	C₂×C₄	—	10	1	no	—
1825	C₂×C₄	—	10	1	no	—
1826	C₂×C₄	—	10	1	no	—
1827	C₂×C₄	—	10	1	no	—
1828	C₂×C₄	—	10	1	no	—
1829	C₂×C₄	—	10	1	no	—
1830	C₂×C₄	—	10	1	no	—
1831	C₂×C₄	—	10	1	no	—
1832	C₂×C₄	—	10	1	no	—
1833	C₂×C₄	—	10	1	no	—
1834	C₂×C₄	—	10	1	no	—
1835	C₂×C₄	—	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	—	20	1	no	—
1854	C₂×C₄	—	20	1	no	—
1855	C₂×C₄	—	20	1	no	—
1856	C₂×C₄	—	20	1	no	—
1857	C₂×C₄	—	20	1	no	—
1858	C₂×C₄	—	20	1	no	—
1859	C₂×C₄	—	20	1	no	—
1860	C₂×C₄	—	20	1	no	—
1861	C₂×C₄	—	20	1	no	—
1862	C₂×C₄	—	20	1	no	—
1863	C₂×C₄	—	20	1	no	—
1864	C₂×C₄	—	20	1	no	—
1865	C₂×C₄	—	20	1	no	—
1866	C₂×C₄	—	20	1	no	—
1867	C₂×C₄	—	20	1	no	—
1868	C₂×C₄	—	20	1	no	—
1869	C₂×C₄	—	20	1	no	—
1870	C₂×C₄	—	20	1	no	—
1871	C₂×C₄	—	20	4	no	—
1872	C₂×C₄	—	20	4	no	—
1873	C₂×C₄	—	40	2	no	—
1874	C₂×C₄	—	40	2	no	—
1875	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1876	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1877	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1878	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1879	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1880	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1881	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1882	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1883	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1884	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1885	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1886	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1887	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1888	C₅	#34486	1	1	yes	characteristic, complemented, Sylow
1889	C₂²	—	2	1	no	—
1890	C₂²	—	2	1	no	—
1891	C₂²	—	2	1	no	—
1892	C₂²	—	2	1	no	—
1893	C₂²	—	2	1	no	—
1894	C₂²	—	5	1	no	—
1895	C₂²	—	5	1	no	—
1896	C₂²	—	5	1	no	—
1897	C₂²	—	5	1	no	—
1898	C₂²	—	5	1	no	—
1899	C₂²	—	5	1	no	—
1900	C₂²	—	5	2	no	—
1901	C₂²	—	10	2	no	—
1902	C₂²	—	10	2	no	—
1903	C₂²	—	10	2	no	—
1904	C₂²	—	10	2	no	—
1905	C₂²	—	10	1	no	—
1906	C₂²	—	10	1	no	—
1907	C₂²	—	10	1	no	—
1908	C₂²	—	10	1	no	—
1909	C₂²	—	10	1	no	—
1910	C₂²	—	20	1	no	—
1911	C₂²	—	20	1	no	—
1912	C₂²	—	20	1	no	—
1913	C₂²	—	20	1	no	—
1914	C₂²	#66262	1	2	yes	—
1915	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
1916	C₄	—	2	1	no	—
1917	C₄	—	2	1	no	—
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	1	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	2	1	no	—
1926	C₄	—	2	1	no	—
1927	C₄	—	2	1	no	—
1928	C₄	—	2	1	no	—
1929	C₄	—	10	2	no	—
1930	C₄	—	10	1	no	—
1931	C₄	—	10	1	no	—
1932	C₄	—	10	1	no	—
1933	C₄	—	10	1	no	—
1934	C₄	—	10	1	no	—
1935	C₄	—	10	1	no	—
1936	C₄	—	10	1	no	—
1937	C₄	—	10	1	no	—
1938	C₄	—	10	1	no	—
1939	C₄	—	10	1	no	—
1940	C₄	—	10	1	no	—
1941	C₄	—	10	1	no	—
1942	C₄	—	10	1	no	—
1943	C₄	—	20	1	no	—
1944	C₄	—	20	1	no	—
1945	C₄	—	20	1	no	—
1946	C₄	—	20	1	no	—
1947	C₄	—	20	1	no	—
1948	C₄	—	20	1	no	—
1949	C₄	—	20	1	no	—
1950	C₄	—	20	1	no	—
1951	C₄	—	20	1	no	—
1952	C₄	—	20	1	no	—
1953	C₄	—	20	1	no	—
1954	C₄	—	20	1	no	—
1955	C₄	—	20	1	no	—
1956	C₄	—	20	1	no	—
1957	C₄	—	20	1	no	—
1958	C₂	—	2	2	no	—
1959	C₂	—	4	1	no	—
1960	C₂	—	5	1	no	—
1961	C₂	—	5	1	no	—
1962	C₂	—	5	1	no	—
1963	C₂	—	5	1	no	—
1964	C₂	—	10	2	no	—
1965	C₂	—	20	1	no	—
1966	C₂	C₂×#66262	1	1	yes	characteristic
1967	C₂	#10619412	1	1	yes	characteristic
1968	C₂	AGL(1,𝔽₅)×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×AGL(1,𝔽₅)
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#554	C₄
prime radical	C₂×D₄×D₅	C₂³
cosocle	C₂²×D₅	C₂⁵
hypercenter	#554	AGL(1,𝔽₅)
hypocenter	C₅	#34486
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #554

Complements

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

N	H ≅ G/N	type
2. #10617390	C₂	semidirect
3. #10617386	C₂	semidirect
4. #10617348	C₂	semidirect
5. #10617347	C₂	semidirect
6. #10617345	C₂	semidirect
7. #10617345	C₂	semidirect
8. #10617288	C₂	semidirect
9. #10617288	C₂	semidirect
10. #10617287	C₂	semidirect
11. #10617287	C₂	semidirect
12. #10617286	C₂	semidirect
13. #10617285	C₂	semidirect
14. #10617284	C₂	semidirect
15. #10617284	C₂	semidirect
16. #10617283	C₂	semidirect
17. #10617283	C₂	semidirect
18. #10617282	C₂	semidirect
19. AGL(1,𝔽₅)×C₂²⋊Q₈	C₂	semidirect
20. #10617214	C₂	semidirect
21. #10617210	C₂	semidirect
28. #10617104	C₂	semidirect
29. #10617103	C₂	semidirect
30. #10617101	C₂	semidirect
31. C₂×#65711	C₂	semidirect
38. C₅×#554	C₄	semidirect
39. #66064	C₄	semidirect
41. #66024	C₄	semidirect
42. #66024	C₄	semidirect
45. #65970	C₄	semidirect
46. #65970	C₄	semidirect
47. #65970	C₄	semidirect
48. #65970	C₄	semidirect
49. #65969	C₄	semidirect
50. #65969	C₄	semidirect
57. #65913	C₄	semidirect
62. #65877	C₄	semidirect
63. #65873	C₄	semidirect
64. #65873	C₄	semidirect
65. #65845	C₄	semidirect
66. #65845	C₄	semidirect
280. C₅×C₄⋊Q₈	C₂×C₄	semidirect
281. C₅×#125	C₂×C₄	semidirect
282. C₅×#125	C₂×C₄	semidirect
286. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
287. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
288. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
289. C₄×C₅×Q₈	C₂×C₄	semidirect
294. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
298. #4092	C₂×C₄	semidirect
299. #4092	C₂×C₄	semidirect
300. #4092	C₂×C₄	semidirect
301. Q₈×Dic₅	C₂×C₄	semidirect
302. #4090	C₂×C₄	semidirect
303. #4090	C₂×C₄	semidirect
314. C₂×C₄⋊Dic₅	C₂×C₄	semidirect
318. #4070	C₂×C₄	semidirect
319. #4070	C₂×C₄	semidirect
320. #4070	C₂×C₄	semidirect
323. C₂×#683	C₂×C₄	semidirect
324. C₂×#683	C₂×C₄	semidirect
328. #4043	C₂×C₄	semidirect
329. #4043	C₂×C₄	semidirect
330. #4043	C₂×C₄	semidirect
337. #4042	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
350. D₅×C₄⋊C₄	C₂×C₄	semidirect
351. D₅×C₄⋊C₄	C₂×C₄	semidirect
352. D₅×C₄⋊C₄	C₂×C₄	semidirect
353. D₅×C₄⋊C₄	C₂×C₄	semidirect
370. #4036	C₂×C₄	semidirect
371. #4036	C₂×C₄	semidirect
372. #4036	C₂×C₄	semidirect
373. #4036	C₂×C₄	semidirect
374. #4035	C₂×C₄	semidirect
375. #4035	C₂×C₄	semidirect
376. #4035	C₂×C₄	semidirect
377. #4035	C₂×C₄	semidirect
378. #4035	C₂×C₄	semidirect
379. #4035	C₂×C₄	semidirect
380. #4035	C₂×C₄	semidirect
381. #4035	C₂×C₄	semidirect
382. #4034	C₂×C₄	semidirect
383. #4034	C₂×C₄	semidirect
384. #4034	C₂×C₄	semidirect
385. #4034	C₂×C₄	semidirect
386. #4033	C₂×C₄	semidirect
387. #4033	C₂×C₄	semidirect
388. #4033	C₂×C₄	semidirect
407. #4024	C₂×C₄	semidirect
408. #4024	C₂×C₄	semidirect
409. #4024	C₂×C₄	semidirect
410. #4024	C₂×C₄	semidirect
411. #4024	C₂×C₄	semidirect
412. #4024	C₂×C₄	semidirect
419. #4016	C₂×C₄	semidirect
420. #4016	C₂×C₄	semidirect
421. #4015	C₂×C₄	semidirect
422. C₄×Dic₁₀	C₂×C₄	semidirect
423. C₄×Dic₁₀	C₂×C₄	semidirect
424. C₄×Dic₁₀	C₂×C₄	semidirect
790. #554	AGL(1,𝔽₅)	semidirect
1128. C₄⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1143. #125	C₂×AGL(1,𝔽₅)	semidirect
1144. #125	C₂×AGL(1,𝔽₅)	semidirect
1190. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1191. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1192. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1202. C₄×Q₈	C₂×AGL(1,𝔽₅)	semidirect
1283. C₂×C₄⋊C₄	C₂×AGL(1,𝔽₅)	semidirect
1888. C₅	#34486	semidirect

Maximal subgroups

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

subgroup	index
D₅×#554	2
#10617390	2
#10617386	2
#10617348	2
#10617347	2
#10617345	2
#10617288	2
#10617287	2
#10617286	2
#10617285	2
#10617284	2
#10617283	2
#10617282	2
AGL(1,𝔽₅)×C₂²⋊Q₈	2
#10617214	2
#10617210	2
#10617180	2
#10617179	2
#10617175	2
#10617173	2
#10617104	2
#10617103	2
#10617101	2
C₂×#65711	2
#34486	5