Subgroups — #13044348

Order 1280.

1932 conjugacy classes of subgroups.

The subgroup lattice has 1910 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#556	C₂	1	1	yes	maximal, characteristic
2	#10617390	C₂	1	1	yes	maximal, characteristic, complemented
3	#10617387	C₂	1	1	yes	maximal, characteristic, complemented
4	#10617360	C₂	1	1	yes	maximal, characteristic, complemented
5	#10617359	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617359	C₂	1	1	yes	maximal, characteristic, complemented
7	#10617359	C₂	1	1	yes	maximal, characteristic, complemented
8	#10617358	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617358	C₂	1	1	yes	maximal, characteristic, complemented
10	#10617358	C₂	1	1	yes	maximal, characteristic, complemented
11	AGL(1,𝔽₅)×#126	C₂	1	1	yes	maximal, characteristic, complemented
12	#10617328	C₂	1	1	yes	maximal, characteristic
13	#10617327	C₂	1	1	yes	maximal, characteristic
14	#10617325	C₂	1	1	yes	maximal, characteristic
15	#10617325	C₂	1	1	yes	maximal, characteristic
16	#10617288	C₂	1	1	yes	maximal, characteristic, complemented
17	#10617287	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617284	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617283	C₂	1	1	yes	maximal, characteristic, complemented
20	#10617214	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617214	C₂	1	1	yes	maximal, characteristic, complemented
22	#10617213	C₂	1	1	yes	maximal, characteristic, complemented
23	#10617210	C₂	1	1	yes	maximal, characteristic, complemented
24	#10617210	C₂	1	1	yes	maximal, characteristic, complemented
25	#10617209	C₂	1	1	yes	maximal, characteristic, complemented
26	#10617180	C₂	1	1	yes	maximal, characteristic
27	#10617175	C₂	1	1	yes	maximal, characteristic
28	#10617132	C₂	1	1	yes	maximal, characteristic, complemented
29	#10617132	C₂	1	1	yes	maximal, characteristic, complemented
30	#10617130	C₂	1	1	yes	maximal, characteristic, complemented
31	#10617129	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#556	C₄	1	1	yes	characteristic, complemented
33	#66066	C₄	1	1	yes	characteristic, complemented
34	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
35	D₅×#126	C₂²	1	1	yes	characteristic
36	D₅×#126	C₂²	1	1	yes	characteristic
37	D₅×#126	C₂²	1	1	yes	characteristic
38	D₅×#126	C₂²	1	1	yes	characteristic
39	#66036	C₄	1	1	yes	characteristic, complemented
40	#66036	C₄	1	1	yes	characteristic, complemented
41	#66036	C₄	1	1	yes	characteristic, complemented
42	#66036	C₄	1	1	yes	characteristic, complemented
43	D₅×#124	C₂²	1	1	yes	characteristic
44	D₅×#124	C₂²	1	1	yes	characteristic
45	#66005	C₄	1	1	yes	characteristic, complemented
46	#66005	C₄	1	1	yes	characteristic, complemented
47	#65975	C₄	1	1	yes	characteristic, complemented
48	#65975	C₄	1	1	yes	characteristic, complemented
49	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
50	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	#65918	C₄	1	1	yes	characteristic, complemented
52	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
53	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
54	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
55	#65902	C₄	1	1	yes	characteristic, complemented
56	#65902	C₄	1	1	yes	characteristic, complemented
57	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
58	#65876	C₄	1	1	yes	characteristic, complemented
59	#65867	C₄	1	1	yes	characteristic, complemented
60	#65867	C₄	1	1	yes	characteristic, complemented
61	D₅×#117	C₂²	1	1	yes	characteristic
62	D₅×#117	C₂²	1	1	yes	characteristic
63	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
64	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
65	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
66	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
67	(C₂×AGL(1,𝔽₅))⋊Q₈	C₂²	1	1	yes	characteristic
68	(C₂×AGL(1,𝔽₅))⋊Q₈	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	#65779	C₂²	1	1	yes	characteristic
76	#65779	C₂²	1	1	yes	characteristic
77	#65779	C₂²	1	1	yes	characteristic
78	#65779	C₂²	1	1	yes	characteristic
79	#65765	C₂²	1	1	yes	characteristic
80	#65765	C₂²	1	1	yes	characteristic
81	#65764	C₂²	1	1	yes	characteristic
82	#65764	C₂²	1	1	yes	characteristic
83	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
84	C₄×C₂²⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
85	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
86	C₂×(C₂×AGL(1,𝔽₅))⋊C₄	C₂²	1	1	yes	characteristic
87	#65712	C₂²	1	1	yes	characteristic
88	#65712	C₂²	1	1	yes	characteristic
89	#65712	C₂²	1	1	yes	characteristic
90	#65712	C₂²	1	1	yes	characteristic
91	#65712	C₂²	1	1	yes	characteristic
92	#65712	C₂²	1	1	yes	characteristic
93	#65712	C₂²	1	1	yes	characteristic
94	#65712	C₂²	1	1	yes	characteristic
95	#65711	C₂²	1	1	yes	characteristic
96	#65711	C₂²	1	1	yes	characteristic
97	#65711	C₂²	1	1	yes	characteristic
98	#65711	C₂²	1	1	yes	characteristic
99	#65711	C₂²	1	1	yes	characteristic
100	#65711	C₂²	1	1	yes	characteristic
101	#65711	C₂²	1	1	yes	characteristic
102	#65711	C₂²	1	1	yes	characteristic
103	#65711	C₂²	1	1	yes	characteristic
104	#65711	C₂²	1	1	yes	characteristic
105	#65711	C₂²	1	1	yes	characteristic
106	#65711	C₂²	1	1	yes	characteristic
107	#65711	C₂²	1	1	yes	characteristic
108	#65711	C₂²	1	1	yes	characteristic
109	#65711	C₂²	1	1	yes	characteristic
110	#65711	C₂²	1	1	yes	characteristic
111	#65711	C₂²	1	1	yes	characteristic
112	#65711	C₂²	1	1	yes	characteristic
113	#65711	C₂²	1	1	yes	characteristic
114	#65711	C₂²	1	1	yes	characteristic
115	#65711	C₂²	1	1	yes	characteristic
116	#65711	C₂²	1	1	yes	characteristic
117	#65711	C₂²	1	1	yes	characteristic
118	#65711	C₂²	1	1	yes	characteristic
119	#65711	C₂²	1	1	yes	characteristic
120	#65711	C₂²	1	1	yes	characteristic
121	#65711	C₂²	1	1	yes	characteristic
122	#65711	C₂²	1	1	yes	characteristic
123	#65711	C₂²	1	1	yes	characteristic
124	#65711	C₂²	1	1	yes	characteristic
125	#65711	C₂²	1	1	yes	characteristic
126	#65711	C₂²	1	1	yes	characteristic
127	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
128	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
129	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
130	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
131	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
132	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
135	#65700	C₂²	1	1	yes	characteristic
136	#65700	C₂²	1	1	yes	characteristic
137	#65700	C₂²	1	1	yes	characteristic
138	#65700	C₂²	1	1	yes	characteristic
139	#65700	C₂²	1	1	yes	characteristic
140	#65700	C₂²	1	1	yes	characteristic
141	#65700	C₂²	1	1	yes	characteristic
142	#65700	C₂²	1	1	yes	characteristic
143	#65700	C₂²	1	1	yes	characteristic
144	#65700	C₂²	1	1	yes	characteristic
145	#65700	C₂²	1	1	yes	characteristic
146	#65700	C₂²	1	1	yes	characteristic
147	#65700	C₂²	1	1	yes	characteristic
148	#65700	C₂²	1	1	yes	characteristic
149	#65700	C₂²	1	1	yes	characteristic
150	#65700	C₂²	1	1	yes	characteristic
151	#65700	C₂²	1	1	yes	characteristic
152	#65700	C₂²	1	1	yes	characteristic
153	#65700	C₂²	1	1	yes	characteristic
154	#65700	C₂²	1	1	yes	characteristic
155	#65699	C₂²	1	1	yes	characteristic
156	#65699	C₂²	1	1	yes	characteristic
157	#65699	C₂²	1	1	yes	characteristic
158	#65699	C₂²	1	1	yes	characteristic
159	#65699	C₂²	1	1	yes	characteristic
160	#65699	C₂²	1	1	yes	characteristic
161	#65699	C₂²	1	1	yes	characteristic
162	#65699	C₂²	1	1	yes	characteristic
163	#65699	C₂²	1	1	yes	characteristic
164	#65699	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
170	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
171	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
172	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
173	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
174	C₂²⋊C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
175	#65690	C₂²	1	1	yes	characteristic
176	#65690	C₂²	1	1	yes	characteristic
177	#65690	C₂²	1	1	yes	characteristic
178	#65690	C₂²	1	1	yes	characteristic
179	#65690	C₂²	1	1	yes	characteristic
180	#65690	C₂²	1	1	yes	characteristic
181	#65689	C₂²	1	1	yes	characteristic
182	#65689	C₂²	1	1	yes	characteristic
183	#65689	C₂²	1	1	yes	characteristic
184	#65689	C₂²	1	1	yes	characteristic
185	#65689	C₂²	1	1	yes	characteristic
186	#65689	C₂²	1	1	yes	characteristic
187	#65688	C₂²	1	1	yes	characteristic
188	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
189	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
190	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
191	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
192	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
193	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
194	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
195	C₄×C₄⋊AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
196	#65686	C₂²	1	1	yes	characteristic
197	#65686	C₂²	1	1	yes	characteristic
198	#65686	C₂²	1	1	yes	characteristic
199	#65686	C₂²	1	1	yes	characteristic
200	#65686	C₂²	1	1	yes	characteristic
201	#65686	C₂²	1	1	yes	characteristic
202	C₄²×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
203	#34505	—	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	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
248	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
249	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
250	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
251	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
252	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
253	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
254	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
255	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
256	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
257	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
258	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
259	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
260	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
261	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
262	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
263	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
264	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
265	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
266	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
267	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
268	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
269	C₂×C₄×AGL(1,𝔽₅)	C₂³	1	1	yes	characteristic
270	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
271	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
272	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
273	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
274	C₅×#126	C₂×C₄	1	1	yes	characteristic, complemented
275	C₅×#124	C₂×C₄	1	1	yes	characteristic
276	C₅×#124	C₂×C₄	1	1	yes	characteristic
277	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
278	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
279	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
280	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
281	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
282	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
283	C₅×#117	C₂×C₄	1	1	yes	characteristic, complemented
284	C₅×#117	C₂×C₄	1	1	yes	characteristic, complemented
285	#4093	C₂×C₄	1	1	yes	characteristic
286	#4093	C₂×C₄	1	1	yes	characteristic
287	#4092	C₂×C₄	1	1	yes	characteristic, complemented
288	#4092	C₂×C₄	1	1	yes	characteristic, complemented
289	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
290	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
291	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic, complemented
292	#4090	C₂×C₄	1	1	yes	characteristic, complemented
293	#4090	C₂×C₄	1	1	yes	characteristic, complemented
294	#4082	C₂×C₄	1	1	yes	characteristic
295	#4082	C₂×C₄	1	1	yes	characteristic
296	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
297	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
298	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
299	#4072	C₂×C₄	1	1	yes	characteristic, complemented
300	#4072	C₂×C₄	1	1	yes	characteristic, complemented
301	#4070	C₂×C₄	1	1	yes	characteristic, complemented
302	#4070	C₂×C₄	1	1	yes	characteristic, complemented
303	#4044	C₂×C₄	1	1	yes	characteristic, complemented
304	#4044	C₂×C₄	1	1	yes	characteristic, complemented
305	#4044	C₂×C₄	1	1	yes	characteristic, complemented
306	#4044	C₂×C₄	1	1	yes	characteristic, complemented
307	#4044	C₂×C₄	1	1	yes	characteristic, complemented
308	#4044	C₂×C₄	1	1	yes	characteristic, complemented
309	#4044	C₂×C₄	1	1	yes	characteristic, complemented
310	#4044	C₂×C₄	1	1	yes	characteristic, complemented
311	#4044	C₂×C₄	1	1	yes	characteristic, complemented
312	#4044	C₂×C₄	1	1	yes	characteristic, complemented
313	#4044	C₂×C₄	1	1	yes	characteristic, complemented
314	#4044	C₂×C₄	1	1	yes	characteristic, complemented
315	#4043	C₂×C₄	1	1	yes	characteristic, complemented
316	#4043	C₂×C₄	1	1	yes	characteristic, complemented
317	#4042	C₂×C₄	1	1	yes	characteristic, complemented
318	#4042	C₂×C₄	1	1	yes	characteristic, complemented
319	#4042	C₂×C₄	1	1	yes	characteristic, complemented
320	#4042	C₂×C₄	1	1	yes	characteristic, complemented
321	#4039	C₂×C₄	1	1	yes	characteristic
322	#4038	C₂×C₄	1	1	yes	characteristic, complemented
323	#4038	C₂×C₄	1	1	yes	characteristic, complemented
324	#4038	C₂×C₄	1	1	yes	characteristic, complemented
325	#4038	C₂×C₄	1	1	yes	characteristic, complemented
326	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
334	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
335	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
336	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	#4034	C₂×C₄	1	1	yes	characteristic, complemented
339	#4034	C₂×C₄	1	1	yes	characteristic, complemented
340	#4034	C₂×C₄	1	1	yes	characteristic, complemented
341	#4034	C₂×C₄	1	1	yes	characteristic, complemented
342	#4033	C₂×C₄	1	1	yes	characteristic, complemented
343	#4033	C₂×C₄	1	1	yes	characteristic, complemented
344	#4033	C₂×C₄	1	1	yes	characteristic, complemented
345	#4033	C₂×C₄	1	1	yes	characteristic, complemented
346	#4033	C₂×C₄	1	1	yes	characteristic, complemented
347	#4033	C₂×C₄	1	1	yes	characteristic, complemented
348	#4033	C₂×C₄	1	1	yes	characteristic, complemented
349	#4033	C₂×C₄	1	1	yes	characteristic, complemented
350	#4033	C₂×C₄	1	1	yes	characteristic, complemented
351	#4031	C₂×C₄	1	1	yes	characteristic
352	#4031	C₂×C₄	1	1	yes	characteristic
353	#4031	C₂×C₄	1	1	yes	characteristic
354	#4031	C₂×C₄	1	1	yes	characteristic
355	#4031	C₂×C₄	1	1	yes	characteristic
356	#4031	C₂×C₄	1	1	yes	characteristic
357	#4031	C₂×C₄	1	1	yes	characteristic
358	#4031	C₂×C₄	1	1	yes	characteristic
359	#4027	C₂×C₄	1	1	yes	characteristic
360	#4027	C₂×C₄	1	1	yes	characteristic
361	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
362	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
363	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
364	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
365	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
366	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
367	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
368	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
369	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
370	D₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
371	#4025	C₂×C₄	1	1	yes	characteristic, complemented
372	#4025	C₂×C₄	1	1	yes	characteristic, complemented
373	#4025	C₂×C₄	1	1	yes	characteristic, complemented
374	#4025	C₂×C₄	1	1	yes	characteristic, complemented
375	#4025	C₂×C₄	1	1	yes	characteristic, complemented
376	#4025	C₂×C₄	1	1	yes	characteristic, complemented
377	#4025	C₂×C₄	1	1	yes	characteristic, complemented
378	#4025	C₂×C₄	1	1	yes	characteristic, complemented
379	#4025	C₂×C₄	1	1	yes	characteristic, complemented
380	#4025	C₂×C₄	1	1	yes	characteristic, complemented
381	#4025	C₂×C₄	1	1	yes	characteristic, complemented
382	#4025	C₂×C₄	1	1	yes	characteristic, complemented
383	#4024	C₂×C₄	1	1	yes	characteristic, complemented
384	#4024	C₂×C₄	1	1	yes	characteristic, complemented
385	#4024	C₂×C₄	1	1	yes	characteristic, complemented
386	#4024	C₂×C₄	1	1	yes	characteristic, complemented
387	#4023	C₂×C₄	1	1	yes	characteristic, complemented
388	#4023	C₂×C₄	1	1	yes	characteristic, complemented
389	#4023	C₂×C₄	1	1	yes	characteristic, complemented
390	#4023	C₂×C₄	1	1	yes	characteristic, complemented
391	#4022	C₂×C₄	1	1	yes	characteristic, complemented
392	#4022	C₂×C₄	1	1	yes	characteristic, complemented
393	#4022	C₂×C₄	1	1	yes	characteristic, complemented
394	#4022	C₂×C₄	1	1	yes	characteristic, complemented
395	#4021	C₂×C₄	1	1	yes	characteristic
396	#4021	C₂×C₄	1	1	yes	characteristic
397	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
398	#4018	C₂×C₄	1	1	yes	characteristic, complemented
399	#4018	C₂×C₄	1	1	yes	characteristic, complemented
400	#4018	C₂×C₄	1	1	yes	characteristic, complemented
401	#4018	C₂×C₄	1	1	yes	characteristic, complemented
402	C₄²×D₅	C₂³	1	1	yes	characteristic
403	C₄²×D₅	C₂³	1	1	yes	characteristic
404	C₄²×D₅	C₂³	1	1	yes	characteristic
405	C₄²×D₅	C₂³	1	1	yes	characteristic
406	C₄²×D₅	C₂³	1	1	yes	characteristic
407	C₄²×D₅	C₂³	1	1	yes	characteristic
408	C₄²×D₅	C₂³	1	1	yes	characteristic
409	#4015	C₂×C₄	1	1	yes	characteristic, complemented
410	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
411	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
412	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
413	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
414	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
415	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
416	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
417	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
418	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic, complemented
419	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
420	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
421	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
422	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
423	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
424	(C₂×AGL(1,𝔽₅))⋊C₄	C₂³	1	1	yes	characteristic
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×#556	—	5	1	no	—
480	#2383	—	5	1	no	—
481	#2381	—	5	1	no	—
482	#2379	—	5	1	no	—
483	#2378	—	5	1	no	—
484	#2373	—	5	1	no	—
485	#2373	—	5	1	no	—
486	#2373	—	5	1	no	—
487	#2372	—	5	1	no	—
488	#2368	—	5	1	no	—
489	#2356	—	5	1	no	—
490	#2356	—	5	1	no	—
491	#2355	—	5	1	no	—
492	#2353	—	5	1	no	—
493	#2343	—	5	1	no	—
494	#2343	—	5	1	no	—
495	#2337	—	5	1	no	—
496	#2337	—	5	1	no	—
497	#2334	—	5	1	no	—
498	#2334	—	5	1	no	—
499	#2334	—	5	1	no	—
500	#2332	—	5	1	no	—
501	#2331	—	5	1	no	—
502	#2329	—	5	1	no	—
503	#2320	—	5	1	no	—
504	#2320	—	5	1	no	—
505	#2318	—	5	1	no	—
506	#2314	—	5	1	no	—
507	C₄×#126	—	5	1	no	—
508	#2298	—	5	1	no	—
509	#2295	—	5	1	no	—
510	C₂³×D₅	C₂⁴	1	1	yes	characteristic
511	C₂³×D₅	C₂⁴	1	1	yes	characteristic
512	C₂²×AGL(1,𝔽₅)	—	2	2	no	—
513	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
514	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
515	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
516	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
517	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
518	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
519	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
520	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
521	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
522	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
523	C₂²×AGL(1,𝔽₅)	—	4	1	no	—
524	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
525	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
526	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
527	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
528	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
529	C₂²×AGL(1,𝔽₅)	C₂⁴	1	1	yes	characteristic
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	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
544	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
545	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
548	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
549	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
550	Q₈×D₅	—	4	1	no	—
551	Q₈×D₅	—	4	1	no	—
552	Q₈×D₅	—	4	1	no	—
553	Q₈×D₅	—	4	1	no	—
554	Q₈×D₅	—	4	1	no	—
555	Q₈×D₅	—	4	1	no	—
556	D₄×D₅	—	4	1	no	—
557	D₄×D₅	—	4	1	no	—
558	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₄×D₅	—	4	1	no	—
560	C₂×C₄×D₅	—	4	1	no	—
561	C₂×C₄×D₅	—	4	1	no	—
562	C₂×C₄×D₅	—	4	1	no	—
563	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
577	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
581	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
582	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
583	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
584	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
585	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
586	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
587	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
588	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
589	C₂²⋊AGL(1,𝔽₅)	—	2	2	no	—
590	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
591	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
592	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
593	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
594	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
595	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
596	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
597	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
598	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
599	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
600	C₂²⋊AGL(1,𝔽₅)	—	4	1	no	—
601	C₄⋊AGL(1,𝔽₅)	—	2	2	no	—
602	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
603	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
604	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
605	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
606	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
607	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
608	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
609	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
610	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
611	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
612	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
613	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
614	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
615	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
616	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
617	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
618	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
619	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
620	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
621	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
622	C₄⋊AGL(1,𝔽₅)	—	4	1	no	—
623	C₄×AGL(1,𝔽₅)	—	2	2	no	—
624	C₄×AGL(1,𝔽₅)	—	2	2	no	—
625	C₄×AGL(1,𝔽₅)	—	4	1	no	—
626	C₄×AGL(1,𝔽₅)	—	4	1	no	—
627	C₄×AGL(1,𝔽₅)	—	4	1	no	—
628	C₄×AGL(1,𝔽₅)	—	4	1	no	—
629	C₄×AGL(1,𝔽₅)	—	4	1	no	—
630	C₄×AGL(1,𝔽₅)	—	4	1	no	—
631	C₄×AGL(1,𝔽₅)	—	4	1	no	—
632	C₄×AGL(1,𝔽₅)	—	4	1	no	—
633	C₄×AGL(1,𝔽₅)	—	4	1	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	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
668	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
669	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
670	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
671	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
672	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
673	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
674	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
675	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
676	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
677	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
678	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
679	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
680	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
681	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
682	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
683	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
684	#685	C₂²×C₄	1	1	yes	characteristic
685	#685	C₂²×C₄	1	1	yes	characteristic
686	#685	C₂²×C₄	1	1	yes	characteristic
687	#685	C₂²×C₄	1	1	yes	characteristic
688	#685	C₂²×C₄	1	1	yes	characteristic
689	#685	C₂²×C₄	1	1	yes	characteristic
690	#685	C₂²×C₄	1	1	yes	characteristic
691	#685	C₂²×C₄	1	1	yes	characteristic
692	#685	C₂²×C₄	1	1	yes	characteristic
693	#685	C₂²×C₄	1	1	yes	characteristic
694	#685	C₂²×C₄	1	1	yes	characteristic
695	#685	C₂²×C₄	1	1	yes	characteristic
696	#685	C₂²×C₄	1	1	yes	characteristic
697	#685	C₂²×C₄	1	1	yes	characteristic
698	#685	C₂²×C₄	1	1	yes	characteristic
699	#685	C₂²×C₄	1	1	yes	characteristic
700	#685	C₂²×C₄	1	1	yes	characteristic
701	#685	C₂²×C₄	1	1	yes	characteristic
702	#685	C₂²×C₄	1	1	yes	characteristic
703	#685	C₂²×C₄	1	1	yes	characteristic
704	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
705	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
706	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
707	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
708	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
709	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
710	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
711	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
712	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
713	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
714	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
715	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
716	#683	C₂²×C₄	1	1	yes	characteristic
717	#683	C₂²×C₄	1	1	yes	characteristic
718	#683	C₂²×C₄	1	1	yes	characteristic
719	#683	C₂²×C₄	1	1	yes	characteristic
720	#683	C₂²×C₄	1	1	yes	characteristic
721	#683	C₂²×C₄	1	1	yes	characteristic
722	#683	C₂²×C₄	1	1	yes	characteristic
723	#683	C₂²×C₄	1	1	yes	characteristic
724	#683	C₂²×C₄	1	1	yes	characteristic
725	#683	C₂²×C₄	1	1	yes	characteristic
726	#683	C₂²×C₄	1	1	yes	characteristic
727	#683	C₂²×C₄	1	1	yes	characteristic
728	#683	C₂²×C₄	1	1	yes	characteristic
729	#683	C₂²×C₄	1	1	yes	characteristic
730	#683	C₂²×C₄	1	1	yes	characteristic
731	#683	C₂²×C₄	1	1	yes	characteristic
732	#683	C₂²×C₄	1	1	yes	characteristic
733	#683	C₂²×C₄	1	1	yes	characteristic
734	#683	C₂²×C₄	1	1	yes	characteristic
735	#683	C₂²×C₄	1	1	yes	characteristic
736	#683	C₂²×C₄	1	1	yes	characteristic
737	#683	C₂²×C₄	1	1	yes	characteristic
738	#683	C₂²×C₄	1	1	yes	characteristic
739	#683	C₂²×C₄	1	1	yes	characteristic
740	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
741	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
742	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
743	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
744	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
745	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
746	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
747	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
748	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
749	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
750	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
751	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
752	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
753	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
754	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
755	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
756	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
757	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
758	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
759	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
760	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
761	#556	—	5	1	no	—
762	#556	—	5	1	no	—
763	#556	—	5	1	no	—
764	#556	—	5	1	no	—
765	#556	—	5	1	no	—
766	#556	—	5	1	no	—
767	#556	—	5	1	no	—
768	#556	—	5	1	no	—
769	#556	—	5	1	no	—
770	#556	—	5	1	no	—
771	#556	—	5	1	no	—
772	#556	—	5	1	no	—
773	#556	—	5	1	no	—
774	#556	—	5	1	no	—
775	#556	—	5	1	no	—
776	#556	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
777	C₂×C₄⋊Q₈	—	5	1	no	—
778	C₂×#126	—	5	1	no	—
779	C₂×#126	—	5	1	no	—
780	C₂×#126	—	5	1	no	—
781	C₂×#126	—	5	1	no	—
782	C₂×#124	—	5	1	no	—
783	C₂×#124	—	5	1	no	—
784	C₂×C₂²⋊Q₈	—	5	1	no	—
785	C₂×C₂²⋊Q₈	—	5	1	no	—
786	C₂×C₄×Q₈	—	5	1	no	—
787	C₂×C₄×Q₈	—	5	1	no	—
788	C₂×C₄×Q₈	—	5	1	no	—
789	C₂×C₄×D₄	—	5	1	no	—
790	C₂×#117	—	5	1	no	—
791	C₂×#117	—	5	1	no	—
792	#391	—	5	1	no	—
793	#391	—	5	1	no	—
794	#391	—	5	1	no	—
795	#391	—	5	1	no	—
796	#391	—	5	1	no	—
797	#391	—	5	1	no	—
798	#391	—	5	1	no	—
799	#391	—	5	1	no	—
800	#391	—	5	1	no	—
801	#391	—	5	1	no	—
802	#391	—	5	1	no	—
803	#391	—	5	1	no	—
804	#389	—	5	1	no	—
805	#389	—	5	1	no	—
806	#389	—	5	1	no	—
807	#389	—	5	1	no	—
808	#389	—	5	1	no	—
809	#389	—	5	1	no	—
810	#389	—	5	1	no	—
811	#389	—	5	1	no	—
812	#388	—	5	1	no	—
813	#388	—	5	1	no	—
814	#388	—	5	1	no	—
815	#388	—	5	1	no	—
816	#388	—	5	1	no	—
817	#388	—	5	1	no	—
818	#388	—	5	1	no	—
819	#388	—	5	1	no	—
820	#388	—	5	1	no	—
821	#388	—	5	1	no	—
822	#388	—	5	1	no	—
823	#388	—	5	1	no	—
824	#388	—	5	1	no	—
825	#388	—	5	1	no	—
826	#388	—	5	1	no	—
827	#388	—	5	1	no	—
828	#388	—	5	1	no	—
829	#388	—	5	1	no	—
830	#388	—	5	1	no	—
831	#388	—	5	1	no	—
832	#387	—	5	1	no	—
833	#387	—	5	1	no	—
834	#387	—	5	1	no	—
835	#387	—	5	1	no	—
836	#387	—	5	1	no	—
837	#387	—	5	1	no	—
838	#387	—	5	1	no	—
839	#387	—	5	1	no	—
840	#387	—	5	1	no	—
841	#387	—	5	1	no	—
842	#387	—	5	1	no	—
843	#387	—	5	1	no	—
844	#387	—	5	1	no	—
845	#387	—	5	1	no	—
846	#387	—	5	1	no	—
847	#387	—	5	1	no	—
848	#387	—	5	1	no	—
849	#387	—	5	1	no	—
850	#387	—	5	1	no	—
851	#387	—	5	1	no	—
852	#387	—	5	1	no	—
853	#387	—	5	1	no	—
854	#387	—	5	1	no	—
855	#387	—	5	1	no	—
856	#387	—	5	1	no	—
857	#387	—	5	1	no	—
858	#387	—	5	1	no	—
859	#387	—	5	1	no	—
860	#387	—	5	1	no	—
861	#387	—	5	1	no	—
862	#387	—	5	1	no	—
863	#387	—	5	1	no	—
864	#386	—	5	1	no	—
865	#386	—	5	1	no	—
866	#386	—	5	1	no	—
867	#386	—	5	1	no	—
868	#385	—	5	1	no	—
869	#385	—	5	1	no	—
870	#385	—	5	1	no	—
871	#385	—	5	1	no	—
872	#385	—	5	1	no	—
873	#385	—	5	1	no	—
874	#385	—	5	1	no	—
875	#385	—	5	1	no	—
876	#385	—	5	1	no	—
877	#385	—	5	1	no	—
878	#384	—	5	1	no	—
879	#383	—	5	1	no	—
880	#383	—	5	1	no	—
881	#383	—	5	1	no	—
882	#383	—	5	1	no	—
883	#383	—	5	1	no	—
884	#383	—	5	1	no	—
885	#382	—	5	1	no	—
886	#382	—	5	1	no	—
887	#382	—	5	1	no	—
888	#382	—	5	1	no	—
889	#382	—	5	1	no	—
890	#382	—	5	1	no	—
891	#381	—	5	1	no	—
892	#381	—	5	1	no	—
893	#380	—	5	1	no	—
894	#380	—	5	1	no	—
895	C₄×C₄⋊C₄	—	5	1	no	—
896	C₄×C₄⋊C₄	—	5	1	no	—
897	C₄×C₄⋊C₄	—	5	1	no	—
898	C₄×C₄⋊C₄	—	5	1	no	—
899	C₄×C₄⋊C₄	—	5	1	no	—
900	C₄×C₄⋊C₄	—	5	1	no	—
901	C₄×C₄⋊C₄	—	5	1	no	—
902	C₄×C₄⋊C₄	—	5	1	no	—
903	C₄×C₄⋊C₄	—	5	1	no	—
904	C₄×C₄⋊C₄	—	5	1	no	—
905	C₄×C₄⋊C₄	—	5	1	no	—
906	C₄×C₄⋊C₄	—	5	1	no	—
907	C₄×C₄⋊C₄	—	5	1	no	—
908	C₄×C₄⋊C₄	—	5	1	no	—
909	C₄×C₄⋊C₄	—	5	1	no	—
910	C₄×C₄⋊C₄	—	5	1	no	—
911	C₄×C₂²⋊C₄	—	5	1	no	—
912	C₄×C₂²⋊C₄	—	5	1	no	—
913	C₄×C₂²⋊C₄	—	5	1	no	—
914	C₄×C₂²⋊C₄	—	5	1	no	—
915	C₄×C₂²⋊C₄	—	5	1	no	—
916	C₄×C₂²⋊C₄	—	5	1	no	—
917	C₄×C₂²⋊C₄	—	5	1	no	—
918	C₄×C₂²⋊C₄	—	5	1	no	—
919	C₄×C₂²⋊C₄	—	5	1	no	—
920	C₄×C₂²⋊C₄	—	5	1	no	—
921	C₄×C₂²⋊C₄	—	5	1	no	—
922	C₄×C₂²⋊C₄	—	5	1	no	—
923	#376	—	5	1	no	—
924	#376	—	5	1	no	—
925	#376	—	5	1	no	—
926	#376	—	5	1	no	—
927	#376	—	5	1	no	—
928	#376	—	5	1	no	—
929	C₂×#95	—	5	1	no	—
930	C₂×#95	—	5	1	no	—
931	C₄³	—	5	1	no	—
932	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
933	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
934	C₂²×D₅	—	2	1	no	—
935	C₂²×D₅	—	2	1	no	—
936	C₂²×D₅	—	2	1	no	—
937	C₂²×D₅	—	2	1	no	—
938	C₂²×D₅	—	2	1	no	—
939	C₂²×D₅	—	2	1	no	—
940	C₂²×D₅	—	2	1	no	—
941	C₂²×D₅	—	2	1	no	—
942	C₂²×D₅	—	2	1	no	—
943	C₂²×D₅	—	2	1	no	—
944	C₂²×D₅	—	2	1	no	—
945	C₂²×D₅	—	2	1	no	—
946	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
947	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
948	C₂²×D₅	C₂⁵	1	1	yes	characteristic
949	C₂×AGL(1,𝔽₅)	—	2	1	no	—
950	C₂×AGL(1,𝔽₅)	—	2	1	no	—
951	C₂×AGL(1,𝔽₅)	—	2	1	no	—
952	C₂×AGL(1,𝔽₅)	—	2	1	no	—
953	C₂×AGL(1,𝔽₅)	—	2	1	no	—
954	C₂×AGL(1,𝔽₅)	—	2	1	no	—
955	C₂×AGL(1,𝔽₅)	—	2	1	no	—
956	C₂×AGL(1,𝔽₅)	—	2	1	no	—
957	C₂×AGL(1,𝔽₅)	—	2	1	no	—
958	C₂×AGL(1,𝔽₅)	—	2	1	no	—
959	C₂×AGL(1,𝔽₅)	—	2	1	no	—
960	C₂×AGL(1,𝔽₅)	—	2	1	no	—
961	C₂×AGL(1,𝔽₅)	—	2	1	no	—
962	C₂×AGL(1,𝔽₅)	—	2	1	no	—
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)	—	8	2	no	—
997	C₂×AGL(1,𝔽₅)	—	8	2	no	—
998	C₂×AGL(1,𝔽₅)	—	8	2	no	—
999	C₂×AGL(1,𝔽₅)	—	8	2	no	—
1000	C₂×AGL(1,𝔽₅)	2₋¹⁺⁴	1	2	yes	—
1001	C₅×Q₈	—	4	1	no	—
1002	C₅×Q₈	—	4	1	no	—
1003	C₅×Q₈	—	4	1	no	—
1004	C₅×D₄	—	4	1	no	—
1005	C₂×C₄×C₅	—	4	1	no	—
1006	C₂×C₄×C₅	—	4	1	no	—
1007	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1008	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1009	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1010	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1011	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1012	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1013	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1014	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1015	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1016	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1017	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1018	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1019	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1020	C₂²⋊D₅	—	4	1	no	—
1021	C₂²⋊D₅	—	4	1	no	—
1022	C₂×Dic₅	—	4	1	no	—
1023	C₂×Dic₅	—	4	1	no	—
1024	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1025	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1026	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1027	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1028	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1029	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1030	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1031	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1032	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1033	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1034	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1035	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1036	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1037	D₂₀	—	4	1	no	—
1038	C₄×D₅	—	2	1	no	—
1039	C₄×D₅	—	2	1	no	—
1040	C₄×D₅	—	2	1	no	—
1041	C₄×D₅	—	2	1	no	—
1042	C₄×D₅	—	2	1	no	—
1043	C₄×D₅	—	2	1	no	—
1044	C₄×D₅	—	2	1	no	—
1045	C₄×D₅	—	2	1	no	—
1046	C₄×D₅	—	2	1	no	—
1047	C₄×D₅	—	2	1	no	—
1048	C₄×D₅	—	2	1	no	—
1049	C₄×D₅	—	2	1	no	—
1050	C₄×D₅	—	2	1	no	—
1051	C₄×D₅	—	2	1	no	—
1052	C₄×D₅	—	2	1	no	—
1053	C₄×D₅	—	2	1	no	—
1054	C₄×D₅	—	2	1	no	—
1055	C₄×D₅	—	2	1	no	—
1056	C₄×D₅	—	2	1	no	—
1057	C₄×D₅	—	2	1	no	—
1058	C₄×D₅	—	2	1	no	—
1059	C₄×D₅	—	2	1	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	—	4	1	no	—
1065	C₄×D₅	—	4	1	no	—
1066	C₄×D₅	—	4	1	no	—
1067	C₄×D₅	—	4	1	no	—
1068	Dic₁₀	—	4	1	no	—
1069	Dic₁₀	—	4	1	no	—
1070	Dic₁₀	—	4	1	no	—
1071	Dic₁₀	—	4	1	no	—
1072	Dic₁₀	—	4	1	no	—
1073	Dic₁₀	—	4	1	no	—
1074	Dic₁₀	—	4	1	no	—
1075	Dic₁₀	—	4	1	no	—
1076	Dic₁₀	—	4	1	no	—
1077	C₂²×Q₈	—	5	1	no	—
1078	C₂²×Q₈	—	5	1	no	—
1079	C₂²×Q₈	—	5	1	no	—
1080	C₂²×D₄	—	5	1	no	—
1081	C₂³×C₄	—	5	1	no	—
1082	C₂³×C₄	—	5	1	no	—
1083	C₂³×C₄	—	5	1	no	—
1084	C₂³×C₄	—	5	1	no	—
1085	C₂³×C₄	—	5	1	no	—
1086	C₂³×C₄	—	5	1	no	—
1087	C₄⋊Q₈	—	5	1	no	—
1088	C₄⋊Q₈	—	5	1	no	—
1089	C₄⋊Q₈	—	5	1	no	—
1090	C₄⋊Q₈	—	5	1	no	—
1091	C₄⋊Q₈	—	5	1	no	—
1092	C₄⋊Q₈	—	5	1	no	—
1093	C₄⋊Q₈	—	5	1	no	—
1094	C₄⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1095	#126	—	5	1	no	—
1096	#126	—	5	1	no	—
1097	#126	—	5	1	no	—
1098	#126	—	5	1	no	—
1099	#126	—	5	1	no	—
1100	#126	—	5	1	no	—
1101	#126	—	5	1	no	—
1102	#126	—	5	1	no	—
1103	#126	—	5	1	no	—
1104	#126	—	5	1	no	—
1105	#126	—	5	1	no	—
1106	#126	—	5	1	no	—
1107	#126	—	5	1	no	—
1108	#126	—	5	1	no	—
1109	#126	—	5	1	no	—
1110	#126	—	5	1	no	—
1111	#126	—	5	1	no	—
1112	#126	—	5	1	no	—
1113	#126	—	5	1	no	—
1114	#126	—	5	1	no	—
1115	#126	—	5	1	no	—
1116	#126	—	5	1	no	—
1117	#126	—	5	1	no	—
1118	#126	—	5	1	no	—
1119	#126	—	5	1	no	—
1120	#126	—	5	1	no	—
1121	#126	—	5	1	no	—
1122	#126	—	5	1	no	—
1123	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1124	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1125	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1126	#126	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1127	#124	—	5	1	no	—
1128	#124	—	5	1	no	—
1129	#124	—	5	1	no	—
1130	#124	—	5	1	no	—
1131	#124	—	5	1	no	—
1132	#124	—	5	1	no	—
1133	#124	—	5	1	no	—
1134	#124	—	5	1	no	—
1135	#124	—	5	1	no	—
1136	#124	—	5	1	no	—
1137	#124	—	5	1	no	—
1138	#124	—	5	1	no	—
1139	#124	—	5	1	no	—
1140	#124	—	5	1	no	—
1141	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1142	#124	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1143	C₂²⋊Q₈	—	5	1	no	—
1144	C₂²⋊Q₈	—	5	1	no	—
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	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1158	C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1159	C₄×Q₈	—	5	1	no	—
1160	C₄×Q₈	—	5	1	no	—
1161	C₄×Q₈	—	5	1	no	—
1162	C₄×Q₈	—	5	1	no	—
1163	C₄×Q₈	—	5	1	no	—
1164	C₄×Q₈	—	5	1	no	—
1165	C₄×Q₈	—	5	1	no	—
1166	C₄×Q₈	—	5	1	no	—
1167	C₄×Q₈	—	5	1	no	—
1168	C₄×Q₈	—	5	1	no	—
1169	C₄×Q₈	—	5	1	no	—
1170	C₄×Q₈	—	5	1	no	—
1171	C₄×Q₈	—	5	1	no	—
1172	C₄×Q₈	—	5	1	no	—
1173	C₄×Q₈	—	5	1	no	—
1174	C₄×Q₈	—	5	1	no	—
1175	C₄×Q₈	—	5	1	no	—
1176	C₄×Q₈	—	5	1	no	—
1177	C₄×Q₈	—	5	1	no	—
1178	C₄×Q₈	—	5	1	no	—
1179	C₄×Q₈	—	5	1	no	—
1180	C₄×Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1181	C₄×Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1182	C₄×Q₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1183	C₄×D₄	—	5	1	no	—
1184	C₄×D₄	—	5	1	no	—
1185	C₄×D₄	—	5	1	no	—
1186	C₄×D₄	—	5	1	no	—
1187	C₄×D₄	—	5	1	no	—
1188	C₄×D₄	—	5	1	no	—
1189	C₄×D₄	—	5	1	no	—
1190	C₄×D₄	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
1191	#117	—	5	1	no	—
1192	#117	—	5	1	no	—
1193	#117	—	5	1	no	—
1194	#117	—	5	1	no	—
1195	#117	—	5	1	no	—
1196	#117	—	5	1	no	—
1197	#117	—	5	1	no	—
1198	#117	—	5	1	no	—
1199	#117	—	5	1	no	—
1200	#117	—	5	1	no	—
1201	#117	—	5	1	no	—
1202	#117	—	5	1	no	—
1203	#117	—	5	1	no	—
1204	#117	—	5	1	no	—
1205	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1206	#117	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
1207	C₂×C₄⋊C₄	—	5	1	no	—
1208	C₂×C₄⋊C₄	—	5	1	no	—
1209	C₂×C₄⋊C₄	—	5	1	no	—
1210	C₂×C₄⋊C₄	—	5	1	no	—
1211	C₂×C₄⋊C₄	—	5	1	no	—
1212	C₂×C₄⋊C₄	—	5	1	no	—
1213	C₂×C₄⋊C₄	—	5	1	no	—
1214	C₂×C₄⋊C₄	—	5	1	no	—
1215	C₂×C₄⋊C₄	—	5	1	no	—
1216	C₂×C₄⋊C₄	—	5	1	no	—
1217	C₂×C₄⋊C₄	—	5	1	no	—
1218	C₂×C₄⋊C₄	—	5	1	no	—
1219	C₂×C₄⋊C₄	—	5	1	no	—
1220	C₂×C₄⋊C₄	—	5	1	no	—
1221	C₂×C₄⋊C₄	—	5	1	no	—
1222	C₂×C₄⋊C₄	—	5	1	no	—
1223	C₂×C₄⋊C₄	—	5	1	no	—
1224	C₂×C₄⋊C₄	—	5	1	no	—
1225	C₂×C₄⋊C₄	—	5	1	no	—
1226	C₂×C₄⋊C₄	—	5	1	no	—
1227	C₂×C₄⋊C₄	—	5	1	no	—
1228	C₂×C₄⋊C₄	—	5	1	no	—
1229	C₂×C₄⋊C₄	—	5	1	no	—
1230	C₂×C₄⋊C₄	—	5	1	no	—
1231	C₂×C₄⋊C₄	—	5	1	no	—
1232	C₂×C₄⋊C₄	—	5	1	no	—
1233	C₂×C₄⋊C₄	—	5	1	no	—
1234	C₂×C₄⋊C₄	—	5	1	no	—
1235	C₂×C₄⋊C₄	—	5	1	no	—
1236	C₂×C₄⋊C₄	—	5	1	no	—
1237	C₂×C₄⋊C₄	—	5	1	no	—
1238	C₂×C₄⋊C₄	—	5	1	no	—
1239	C₂×C₄⋊C₄	—	5	1	no	—
1240	C₂×C₄⋊C₄	—	5	1	no	—
1241	C₂×C₂²⋊C₄	—	5	1	no	—
1242	C₂×C₂²⋊C₄	—	5	1	no	—
1243	C₂×C₂²⋊C₄	—	5	1	no	—
1244	C₂×C₂²⋊C₄	—	5	1	no	—
1245	C₂×C₂²⋊C₄	—	5	1	no	—
1246	C₂×C₂²⋊C₄	—	5	1	no	—
1247	C₂×C₂²⋊C₄	—	5	1	no	—
1248	C₂×C₂²⋊C₄	—	5	1	no	—
1249	C₂×C₂²⋊C₄	—	5	1	no	—
1250	C₂×C₂²⋊C₄	—	5	1	no	—
1251	C₂×C₂²⋊C₄	—	5	1	no	—
1252	C₂×C₂²⋊C₄	—	5	1	no	—
1253	C₂×C₂²⋊C₄	—	5	1	no	—
1254	C₂×C₂²⋊C₄	—	5	1	no	—
1255	C₂×C₂²⋊C₄	—	5	1	no	—
1256	C₂×C₂²⋊C₄	—	5	1	no	—
1257	C₂×C₂²⋊C₄	—	5	1	no	—
1258	C₂×C₂²⋊C₄	—	5	1	no	—
1259	C₂×C₂²⋊C₄	—	5	1	no	—
1260	C₂×C₂²⋊C₄	—	5	1	no	—
1261	C₂×C₂²⋊C₄	—	5	1	no	—
1262	C₂×C₂²⋊C₄	—	5	1	no	—
1263	C₂×C₄²	—	5	1	no	—
1264	C₂×C₄²	—	5	1	no	—
1265	C₂×C₄²	—	5	1	no	—
1266	C₂×C₄²	—	5	1	no	—
1267	C₂×C₄²	—	5	1	no	—
1268	C₂×C₄²	—	5	1	no	—
1269	C₂×C₄²	—	5	1	no	—
1270	C₂×C₄²	—	5	1	no	—
1271	C₂×C₄²	—	5	1	no	—
1272	C₂×C₄²	—	5	1	no	—
1273	C₂×C₄²	—	5	1	no	—
1274	C₂×C₄²	—	5	1	no	—
1275	C₂×C₄²	—	5	1	no	—
1276	C₂×C₄²	—	5	1	no	—
1277	C₂×C₄²	—	5	1	no	—
1278	C₂×C₄²	—	5	1	no	—
1279	C₂×C₄²	—	5	1	no	—
1280	C₂×C₄²	—	5	1	no	—
1281	C₂×C₄²	—	5	1	no	—
1282	C₂×C₄²	—	5	1	no	—
1283	C₂×C₄²	—	5	1	no	—
1284	C₂×C₄²	—	5	1	no	—
1285	C₂×C₄²	—	5	1	no	—
1286	C₂×C₄²	—	5	1	no	—
1287	C₂×C₄²	—	5	1	no	—
1288	C₂×C₄²	—	5	1	no	—
1289	C₂×C₄²	—	5	1	no	—
1290	C₂×C₄²	—	5	1	no	—
1291	C₂×C₄²	—	5	1	no	—
1292	#95	—	5	1	no	—
1293	#95	—	5	1	no	—
1294	#95	—	5	1	no	—
1295	#95	—	5	1	no	—
1296	#95	—	5	1	no	—
1297	#95	—	5	1	no	—
1298	#95	—	5	1	no	—
1299	#95	—	5	1	no	—
1300	#95	—	5	1	no	—
1301	#95	—	5	1	no	—
1302	#95	—	5	1	no	—
1303	#95	—	5	1	no	—
1304	#95	—	5	1	no	—
1305	#95	—	5	1	no	—
1306	#95	—	5	1	no	—
1307	#95	—	5	1	no	—
1308	#95	—	5	1	no	—
1309	#95	—	5	1	no	—
1310	#95	—	5	1	no	—
1311	#95	—	5	1	no	—
1312	#95	—	5	1	no	—
1313	#95	—	5	1	no	—
1314	#95	—	5	1	no	—
1315	#95	—	5	1	no	—
1316	#95	—	5	1	no	—
1317	#95	—	5	1	no	—
1318	#95	—	5	1	no	—
1319	#95	—	5	1	no	—
1320	#95	—	5	1	no	—
1321	#95	—	5	1	no	—
1322	#95	—	5	1	no	—
1323	#95	—	5	1	no	—
1324	#95	—	5	1	no	—
1325	#95	—	5	1	no	—
1326	#95	—	5	1	no	—
1327	#95	—	5	1	no	—
1328	#95	—	5	1	no	—
1329	#95	—	5	1	no	—
1330	#95	—	5	1	no	—
1331	#95	—	5	1	no	—
1332	#95	—	5	1	no	—
1333	#95	—	5	1	no	—
1334	#95	—	5	1	no	—
1335	#95	—	5	1	no	—
1336	#95	—	5	1	no	—
1337	#95	—	5	1	no	—
1338	#95	—	5	1	no	—
1339	#95	—	5	1	no	—
1340	#95	—	5	1	no	—
1341	#95	—	5	1	no	—
1342	#95	—	5	1	no	—
1343	#95	—	5	1	no	—
1344	#95	—	5	1	no	—
1345	#95	—	5	1	no	—
1346	#95	—	5	1	no	—
1347	#95	—	5	1	no	—
1348	#95	—	5	1	no	—
1349	#95	—	5	1	no	—
1350	#95	—	5	1	no	—
1351	#95	—	5	1	no	—
1352	C₂²×C₅	—	2	1	no	—
1353	C₂²×C₅	—	2	1	no	—
1354	C₂²×C₅	—	2	1	no	—
1355	C₂²×C₅	—	2	1	no	—
1356	C₂²×C₅	—	2	1	no	—
1357	C₂²×C₅	—	2	1	no	—
1358	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1359	C₂×D₅	—	2	1	no	—
1360	C₂×D₅	—	2	1	no	—
1361	C₂×D₅	—	2	1	no	—
1362	C₂×D₅	—	2	1	no	—
1363	C₂×D₅	—	2	1	no	—
1364	C₂×D₅	—	2	1	no	—
1365	C₂×D₅	—	4	1	no	—
1366	C₂×D₅	—	4	1	no	—
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	4	1	no	—
1369	C₂×D₅	—	4	1	no	—
1370	C₂×D₅	—	4	1	no	—
1371	C₂×D₅	—	4	1	no	—
1372	C₂×D₅	—	4	1	no	—
1373	C₂×D₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1374	C₂×D₅	#585	1	1	yes	characteristic
1375	C₂×D₅	#585	1	1	yes	characteristic
1376	C₂×D₅	#585	1	1	yes	characteristic
1377	C₂×D₅	#585	1	1	yes	characteristic
1378	C₂×D₅	#585	1	1	yes	characteristic
1379	AGL(1,𝔽₅)	—	2	2	no	—
1380	AGL(1,𝔽₅)	—	4	1	no	—
1381	AGL(1,𝔽₅)	—	4	1	no	—
1382	AGL(1,𝔽₅)	—	4	1	no	—
1383	AGL(1,𝔽₅)	—	4	1	no	—
1384	AGL(1,𝔽₅)	—	4	1	no	—
1385	AGL(1,𝔽₅)	—	4	1	no	—
1386	AGL(1,𝔽₅)	—	4	1	no	—
1387	AGL(1,𝔽₅)	—	4	1	no	—
1388	AGL(1,𝔽₅)	—	4	1	no	—
1389	AGL(1,𝔽₅)	—	4	1	no	—
1390	AGL(1,𝔽₅)	—	4	1	no	—
1391	AGL(1,𝔽₅)	—	4	1	no	—
1392	AGL(1,𝔽₅)	—	4	1	no	—
1393	AGL(1,𝔽₅)	—	4	1	no	—
1394	AGL(1,𝔽₅)	—	4	1	no	—
1395	C₄×C₅	—	2	1	no	—
1396	C₄×C₅	—	2	1	no	—
1397	C₄×C₅	—	2	1	no	—
1398	C₄×C₅	—	2	1	no	—
1399	C₄×C₅	—	2	1	no	—
1400	C₄×C₅	—	2	1	no	—
1401	C₄×C₅	—	2	1	no	—
1402	C₄×C₅	—	2	1	no	—
1403	C₄×C₅	—	2	1	no	—
1404	C₄×C₅	—	2	1	no	—
1405	C₄×C₅	—	2	1	no	—
1406	C₄×C₅	—	2	1	no	—
1407	C₄×C₅	—	2	1	no	—
1408	Dic₅	—	2	1	no	—
1409	Dic₅	—	2	1	no	—
1410	Dic₅	—	2	1	no	—
1411	Dic₅	—	2	1	no	—
1412	Dic₅	—	2	1	no	—
1413	Dic₅	—	2	1	no	—
1414	Dic₅	—	2	1	no	—
1415	Dic₅	—	2	1	no	—
1416	Dic₅	—	2	1	no	—
1417	Dic₅	—	2	1	no	—
1418	Dic₅	—	2	1	no	—
1419	Dic₅	—	2	1	no	—
1420	Dic₅	—	2	1	no	—
1421	C₂⁴	—	5	1	no	—
1422	C₂⁴	—	5	1	no	—
1423	C₂×Q₈	—	5	1	no	—
1424	C₂×Q₈	—	5	1	no	—
1425	C₂×Q₈	—	5	1	no	—
1426	C₂×Q₈	—	5	1	no	—
1427	C₂×Q₈	—	5	1	no	—
1428	C₂×Q₈	—	5	1	no	—
1429	C₂×Q₈	—	5	1	no	—
1430	C₂×Q₈	—	5	1	no	—
1431	C₂×Q₈	—	5	1	no	—
1432	C₂×Q₈	—	20	1	no	—
1433	C₂×Q₈	—	20	1	no	—
1434	C₂×Q₈	—	20	1	no	—
1435	C₂×Q₈	—	20	1	no	—
1436	C₂×Q₈	—	20	1	no	—
1437	C₂×Q₈	—	20	1	no	—
1438	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1439	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1440	C₂×Q₈	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1441	C₂×D₄	—	5	1	no	—
1442	C₂×D₄	—	5	1	no	—
1443	C₂×D₄	—	5	1	no	—
1444	C₂×D₄	—	20	1	no	—
1445	C₂×D₄	—	20	1	no	—
1446	C₂×D₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1447	C₂²×C₄	—	5	1	no	—
1448	C₂²×C₄	—	5	1	no	—
1449	C₂²×C₄	—	5	1	no	—
1450	C₂²×C₄	—	5	1	no	—
1451	C₂²×C₄	—	5	1	no	—
1452	C₂²×C₄	—	5	1	no	—
1453	C₂²×C₄	—	5	1	no	—
1454	C₂²×C₄	—	5	1	no	—
1455	C₂²×C₄	—	5	1	no	—
1456	C₂²×C₄	—	5	1	no	—
1457	C₂²×C₄	—	5	1	no	—
1458	C₂²×C₄	—	5	1	no	—
1459	C₂²×C₄	—	5	1	no	—
1460	C₂²×C₄	—	5	1	no	—
1461	C₂²×C₄	—	5	1	no	—
1462	C₂²×C₄	—	5	1	no	—
1463	C₂²×C₄	—	5	1	no	—
1464	C₂²×C₄	—	5	1	no	—
1465	C₂²×C₄	—	5	1	no	—
1466	C₂²×C₄	—	5	1	no	—
1467	C₂²×C₄	—	5	1	no	—
1468	C₂²×C₄	—	5	1	no	—
1469	C₂²×C₄	—	5	1	no	—
1470	C₂²×C₄	—	5	1	no	—
1471	C₂²×C₄	—	5	1	no	—
1472	C₂²×C₄	—	5	1	no	—
1473	C₂²×C₄	—	5	1	no	—
1474	C₂²×C₄	—	5	1	no	—
1475	C₂²×C₄	—	5	1	no	—
1476	C₂²×C₄	—	5	1	no	—
1477	C₂²×C₄	—	5	1	no	—
1478	C₂²×C₄	—	5	1	no	—
1479	C₂²×C₄	—	5	1	no	—
1480	C₂²×C₄	—	5	1	no	—
1481	C₂²×C₄	—	5	1	no	—
1482	C₂²×C₄	—	10	2	no	—
1483	C₂²×C₄	—	20	1	no	—
1484	C₂²×C₄	—	20	1	no	—
1485	C₂²×C₄	—	20	1	no	—
1486	C₂²×C₄	—	20	1	no	—
1487	C₂²×C₄	—	20	1	no	—
1488	C₂²×C₄	—	20	1	no	—
1489	C₂²×C₄	—	20	1	no	—
1490	C₂²×C₄	—	20	1	no	—
1491	C₂²×C₄	—	20	1	no	—
1492	C₂²×C₄	—	20	1	no	—
1493	C₂²×C₄	—	20	1	no	—
1494	C₂²×C₄	—	20	1	no	—
1495	C₂²×C₄	—	20	1	no	—
1496	C₂²×C₄	—	20	1	no	—
1497	C₂²×C₄	—	20	1	no	—
1498	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1499	C₂²×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1500	C₄⋊C₄	—	5	1	no	—
1501	C₄⋊C₄	—	5	1	no	—
1502	C₄⋊C₄	—	5	1	no	—
1503	C₄⋊C₄	—	5	1	no	—
1504	C₄⋊C₄	—	5	1	no	—
1505	C₄⋊C₄	—	5	1	no	—
1506	C₄⋊C₄	—	5	1	no	—
1507	C₄⋊C₄	—	5	1	no	—
1508	C₄⋊C₄	—	5	1	no	—
1509	C₄⋊C₄	—	5	1	no	—
1510	C₄⋊C₄	—	5	1	no	—
1511	C₄⋊C₄	—	5	1	no	—
1512	C₄⋊C₄	—	5	1	no	—
1513	C₄⋊C₄	—	5	1	no	—
1514	C₄⋊C₄	—	5	1	no	—
1515	C₄⋊C₄	—	5	1	no	—
1516	C₄⋊C₄	—	5	1	no	—
1517	C₄⋊C₄	—	5	1	no	—
1518	C₄⋊C₄	—	5	1	no	—
1519	C₄⋊C₄	—	5	1	no	—
1520	C₄⋊C₄	—	5	1	no	—
1521	C₄⋊C₄	—	5	1	no	—
1522	C₄⋊C₄	—	5	1	no	—
1523	C₄⋊C₄	—	5	1	no	—
1524	C₄⋊C₄	—	5	1	no	—
1525	C₄⋊C₄	—	5	1	no	—
1526	C₄⋊C₄	—	5	1	no	—
1527	C₄⋊C₄	—	5	1	no	—
1528	C₄⋊C₄	—	5	1	no	—
1529	C₄⋊C₄	—	5	1	no	—
1530	C₄⋊C₄	—	5	1	no	—
1531	C₄⋊C₄	—	5	1	no	—
1532	C₄⋊C₄	—	5	1	no	—
1533	C₄⋊C₄	—	5	1	no	—
1534	C₄⋊C₄	—	5	1	no	—
1535	C₄⋊C₄	—	5	1	no	—
1536	C₄⋊C₄	—	10	2	no	—
1537	C₄⋊C₄	—	20	1	no	—
1538	C₄⋊C₄	—	20	1	no	—
1539	C₄⋊C₄	—	20	1	no	—
1540	C₄⋊C₄	—	20	1	no	—
1541	C₄⋊C₄	—	20	1	no	—
1542	C₄⋊C₄	—	20	1	no	—
1543	C₄⋊C₄	—	20	1	no	—
1544	C₄⋊C₄	—	20	1	no	—
1545	C₄⋊C₄	—	20	1	no	—
1546	C₄⋊C₄	—	20	1	no	—
1547	C₄⋊C₄	—	20	1	no	—
1548	C₄⋊C₄	—	20	1	no	—
1549	C₄⋊C₄	—	20	1	no	—
1550	C₄⋊C₄	—	20	1	no	—
1551	C₄⋊C₄	—	20	1	no	—
1552	C₄⋊C₄	—	20	1	no	—
1553	C₄⋊C₄	—	20	1	no	—
1554	C₄⋊C₄	—	20	1	no	—
1555	C₄⋊C₄	—	20	1	no	—
1556	C₄⋊C₄	—	20	1	no	—
1557	C₄⋊C₄	—	20	1	no	—
1558	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1559	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1560	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1561	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1562	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1563	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1564	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1565	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1566	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1567	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1568	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1569	C₄⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1570	C₂²⋊C₄	—	5	1	no	—
1571	C₂²⋊C₄	—	5	1	no	—
1572	C₂²⋊C₄	—	5	1	no	—
1573	C₂²⋊C₄	—	5	1	no	—
1574	C₂²⋊C₄	—	5	1	no	—
1575	C₂²⋊C₄	—	5	1	no	—
1576	C₂²⋊C₄	—	5	1	no	—
1577	C₂²⋊C₄	—	5	1	no	—
1578	C₂²⋊C₄	—	5	1	no	—
1579	C₂²⋊C₄	—	5	1	no	—
1580	C₂²⋊C₄	—	5	1	no	—
1581	C₂²⋊C₄	—	5	1	no	—
1582	C₂²⋊C₄	—	5	1	no	—
1583	C₂²⋊C₄	—	5	1	no	—
1584	C₂²⋊C₄	—	5	1	no	—
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	—	10	2	no	—
1601	C₂²⋊C₄	—	20	1	no	—
1602	C₂²⋊C₄	—	20	1	no	—
1603	C₂²⋊C₄	—	20	1	no	—
1604	C₂²⋊C₄	—	20	1	no	—
1605	C₂²⋊C₄	—	20	1	no	—
1606	C₂²⋊C₄	—	20	1	no	—
1607	C₂²⋊C₄	—	20	1	no	—
1608	C₂²⋊C₄	—	20	1	no	—
1609	C₂²⋊C₄	—	20	1	no	—
1610	C₂²⋊C₄	—	20	1	no	—
1611	C₂²⋊C₄	—	20	1	no	—
1612	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1613	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1614	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1615	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1616	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1617	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1618	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1619	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1620	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1622	C₄²	—	5	1	no	—
1623	C₄²	—	5	1	no	—
1624	C₄²	—	5	1	no	—
1625	C₄²	—	5	1	no	—
1626	C₄²	—	5	1	no	—
1627	C₄²	—	5	1	no	—
1628	C₄²	—	5	1	no	—
1629	C₄²	—	5	1	no	—
1630	C₄²	—	5	1	no	—
1631	C₄²	—	5	1	no	—
1632	C₄²	—	5	1	no	—
1633	C₄²	—	5	1	no	—
1634	C₄²	—	5	1	no	—
1635	C₄²	—	5	1	no	—
1636	C₄²	—	5	1	no	—
1637	C₄²	—	5	1	no	—
1638	C₄²	—	5	1	no	—
1639	C₄²	—	5	1	no	—
1640	C₄²	—	5	1	no	—
1641	C₄²	—	5	1	no	—
1642	C₄²	—	5	1	no	—
1643	C₄²	—	10	2	no	—
1644	C₄²	—	10	2	no	—
1645	C₄²	—	20	1	no	—
1646	C₄²	—	20	1	no	—
1647	C₄²	—	20	1	no	—
1648	C₄²	—	20	1	no	—
1649	C₄²	—	20	1	no	—
1650	C₄²	—	20	1	no	—
1651	C₄²	—	20	1	no	—
1652	C₄²	—	20	1	no	—
1653	C₄²	—	20	1	no	—
1654	C₄²	—	20	1	no	—
1655	C₄²	—	20	1	no	—
1656	C₄²	—	20	1	no	—
1657	C₄²	—	20	1	no	—
1658	C₄²	—	20	1	no	—
1659	C₄²	—	20	1	no	—
1660	C₄²	—	20	1	no	—
1661	C₄²	—	20	1	no	—
1662	C₄²	—	20	1	no	—
1663	C₄²	—	20	1	no	—
1664	C₄²	—	20	1	no	—
1665	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1666	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1667	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1668	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1669	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1670	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1671	C₄²	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
1672	C₂×C₅	—	4	1	no	—
1673	C₂×C₅	—	4	1	no	—
1674	C₂×C₅	#3428	1	1	yes	characteristic
1675	C₂×C₅	#3428	1	1	yes	characteristic
1676	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1677	D₅	—	4	1	no	—
1678	D₅	—	4	1	no	—
1679	D₅	#3564	1	1	yes	characteristic
1680	D₅	#3565	1	1	yes	characteristic
1681	D₅	#3566	1	1	yes	characteristic
1682	D₅	#3568	1	1	yes	characteristic
1683	C₂³	—	5	1	no	—
1684	C₂³	—	5	1	no	—
1685	C₂³	—	5	1	no	—
1686	C₂³	—	10	1	no	—
1687	C₂³	—	10	1	no	—
1688	C₂³	—	10	1	no	—
1689	C₂³	—	10	1	no	—
1690	C₂³	—	10	1	no	—
1691	C₂³	—	10	1	no	—
1692	C₂³	—	10	1	no	—
1693	C₂³	—	10	1	no	—
1694	C₂³	—	10	1	no	—
1695	C₂³	—	10	1	no	—
1696	C₂³	—	10	1	no	—
1697	C₂³	—	10	1	no	—
1698	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1699	C₂³	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1700	Q₈	—	4	1	no	—
1701	Q₈	—	4	1	no	—
1702	Q₈	—	4	1	no	—
1703	Q₈	—	20	1	no	—
1704	Q₈	—	20	1	no	—
1705	Q₈	—	20	1	no	—
1706	Q₈	—	20	1	no	—
1707	Q₈	—	20	1	no	—
1708	Q₈	—	20	1	no	—
1709	Q₈	—	20	1	no	—
1710	Q₈	—	20	1	no	—
1711	Q₈	—	20	1	no	—
1712	D₄	—	4	1	no	—
1713	D₄	—	20	1	no	—
1714	D₄	—	20	1	no	—
1715	D₄	—	20	1	no	—
1716	C₂×C₄	—	4	1	no	—
1717	C₂×C₄	—	4	1	no	—
1718	C₂×C₄	—	5	2	no	—
1719	C₂×C₄	—	5	1	no	—
1720	C₂×C₄	—	5	1	no	—
1721	C₂×C₄	—	5	1	no	—
1722	C₂×C₄	—	5	1	no	—
1723	C₂×C₄	—	5	1	no	—
1724	C₂×C₄	—	5	1	no	—
1725	C₂×C₄	—	5	1	no	—
1726	C₂×C₄	—	5	1	no	—
1727	C₂×C₄	—	5	1	no	—
1728	C₂×C₄	—	5	1	no	—
1729	C₂×C₄	—	5	1	no	—
1730	C₂×C₄	—	5	1	no	—
1731	C₂×C₄	—	5	1	no	—
1732	C₂×C₄	—	10	1	no	—
1733	C₂×C₄	—	10	1	no	—
1734	C₂×C₄	—	10	1	no	—
1735	C₂×C₄	—	10	1	no	—
1736	C₂×C₄	—	10	1	no	—
1737	C₂×C₄	—	10	1	no	—
1738	C₂×C₄	—	10	1	no	—
1739	C₂×C₄	—	10	1	no	—
1740	C₂×C₄	—	10	1	no	—
1741	C₂×C₄	—	10	1	no	—
1742	C₂×C₄	—	10	1	no	—
1743	C₂×C₄	—	10	1	no	—
1744	C₂×C₄	—	10	1	no	—
1745	C₂×C₄	—	10	1	no	—
1746	C₂×C₄	—	10	1	no	—
1747	C₂×C₄	—	10	1	no	—
1748	C₂×C₄	—	10	1	no	—
1749	C₂×C₄	—	10	1	no	—
1750	C₂×C₄	—	10	1	no	—
1751	C₂×C₄	—	10	1	no	—
1752	C₂×C₄	—	10	1	no	—
1753	C₂×C₄	—	10	1	no	—
1754	C₂×C₄	—	10	1	no	—
1755	C₂×C₄	—	10	1	no	—
1756	C₂×C₄	—	10	1	no	—
1757	C₂×C₄	—	10	1	no	—
1758	C₂×C₄	—	10	1	no	—
1759	C₂×C₄	—	10	1	no	—
1760	C₂×C₄	—	10	1	no	—
1761	C₂×C₄	—	10	1	no	—
1762	C₂×C₄	—	10	1	no	—
1763	C₂×C₄	—	10	1	no	—
1764	C₂×C₄	—	10	1	no	—
1765	C₂×C₄	—	10	1	no	—
1766	C₂×C₄	—	10	1	no	—
1767	C₂×C₄	—	10	1	no	—
1768	C₂×C₄	—	10	1	no	—
1769	C₂×C₄	—	10	1	no	—
1770	C₂×C₄	—	10	1	no	—
1771	C₂×C₄	—	10	1	no	—
1772	C₂×C₄	—	10	1	no	—
1773	C₂×C₄	—	10	1	no	—
1774	C₂×C₄	—	10	1	no	—
1775	C₂×C₄	—	10	1	no	—
1776	C₂×C₄	—	10	1	no	—
1777	C₂×C₄	—	10	1	no	—
1778	C₂×C₄	—	10	1	no	—
1779	C₂×C₄	—	10	1	no	—
1780	C₂×C₄	—	10	1	no	—
1781	C₂×C₄	—	10	1	no	—
1782	C₂×C₄	—	10	1	no	—
1783	C₂×C₄	—	10	1	no	—
1784	C₂×C₄	—	10	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	—	20	1	no	—
1806	C₂×C₄	—	20	1	no	—
1807	C₂×C₄	—	20	1	no	—
1808	C₂×C₄	—	20	1	no	—
1809	C₂×C₄	—	20	1	no	—
1810	C₂×C₄	—	20	1	no	—
1811	C₂×C₄	—	40	2	no	—
1812	C₂×C₄	—	40	2	no	—
1813	C₂×C₄	—	40	2	no	—
1814	C₂×C₄	—	40	2	no	—
1815	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1816	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1817	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1818	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1819	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1820	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1821	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1822	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1823	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1824	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1825	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1826	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1827	C₂×C₄	C₂³×AGL(1,𝔽₅)	1	1	yes	characteristic
1828	C₅	#34505	1	1	yes	characteristic, complemented, Sylow
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	1	no	—
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	5	1	no	—
1836	C₂²	—	5	1	no	—
1837	C₂²	—	5	1	no	—
1838	C₂²	—	5	1	no	—
1839	C₂²	—	5	1	no	—
1840	C₂²	—	5	1	no	—
1841	C₂²	—	10	1	no	—
1842	C₂²	—	10	1	no	—
1843	C₂²	—	10	1	no	—
1844	C₂²	—	10	1	no	—
1845	C₂²	—	10	1	no	—
1846	C₂²	—	10	1	no	—
1847	C₂²	—	20	1	no	—
1848	C₂²	—	20	1	no	—
1849	C₂²	—	20	1	no	—
1850	C₂²	—	20	1	no	—
1851	C₂²	—	20	1	no	—
1852	C₂²	—	20	1	no	—
1853	C₂²	—	20	1	no	—
1854	C₂²	—	20	1	no	—
1855	C₂²	C₂⁴×AGL(1,𝔽₅)	1	1	yes	characteristic
1856	C₄	—	2	1	no	—
1857	C₄	—	2	1	no	—
1858	C₄	—	2	1	no	—
1859	C₄	—	2	1	no	—
1860	C₄	—	2	1	no	—
1861	C₄	—	2	1	no	—
1862	C₄	—	2	1	no	—
1863	C₄	—	2	1	no	—
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	10	2	no	—
1870	C₄	—	10	1	no	—
1871	C₄	—	10	1	no	—
1872	C₄	—	10	1	no	—
1873	C₄	—	10	1	no	—
1874	C₄	—	10	1	no	—
1875	C₄	—	10	1	no	—
1876	C₄	—	10	1	no	—
1877	C₄	—	10	1	no	—
1878	C₄	—	10	1	no	—
1879	C₄	—	10	1	no	—
1880	C₄	—	10	1	no	—
1881	C₄	—	10	1	no	—
1882	C₄	—	10	1	no	—
1883	C₄	—	20	1	no	—
1884	C₄	—	20	1	no	—
1885	C₄	—	20	1	no	—
1886	C₄	—	20	1	no	—
1887	C₄	—	20	1	no	—
1888	C₄	—	20	1	no	—
1889	C₄	—	20	1	no	—
1890	C₄	—	20	1	no	—
1891	C₄	—	20	1	no	—
1892	C₄	—	20	1	no	—
1893	C₄	—	20	1	no	—
1894	C₄	—	20	1	no	—
1895	C₄	—	20	1	no	—
1896	C₄	—	20	1	no	—
1897	C₄	—	20	1	no	—
1898	C₂	—	4	1	no	—
1899	C₂	—	4	1	no	—
1900	C₂	—	5	1	no	—
1901	C₂	—	5	1	no	—
1902	C₂	—	5	1	no	—
1903	C₂	—	5	1	no	—
1904	C₂	—	20	1	no	—
1905	C₂	—	20	1	no	—
1906	C₂	#10619412	1	1	yes	characteristic
1907	C₂	#10619412	1	1	yes	characteristic
1908	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×#556	C₄
prime radical	C₂×D₄×D₅	C₂³
cosocle	C₂²×D₅	C₂⁵
hypercenter	#556	AGL(1,𝔽₅)
hypocenter	C₅	#34505
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #556

Complements

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

N	H ≅ G/N	type
2. #10617390	C₂	semidirect
3. #10617387	C₂	semidirect
4. #10617360	C₂	semidirect
5. #10617359	C₂	semidirect
6. #10617359	C₂	semidirect
7. #10617359	C₂	semidirect
8. #10617358	C₂	semidirect
9. #10617358	C₂	semidirect
10. #10617358	C₂	semidirect
11. AGL(1,𝔽₅)×#126	C₂	semidirect
16. #10617288	C₂	semidirect
17. #10617287	C₂	semidirect
18. #10617284	C₂	semidirect
19. #10617283	C₂	semidirect
20. #10617214	C₂	semidirect
21. #10617214	C₂	semidirect
22. #10617213	C₂	semidirect
23. #10617210	C₂	semidirect
24. #10617210	C₂	semidirect
25. #10617209	C₂	semidirect
28. #10617132	C₂	semidirect
29. #10617132	C₂	semidirect
30. #10617130	C₂	semidirect
31. #10617129	C₂	semidirect
32. C₅×#556	C₄	semidirect
33. #66066	C₄	semidirect
39. #66036	C₄	semidirect
40. #66036	C₄	semidirect
41. #66036	C₄	semidirect
42. #66036	C₄	semidirect
45. #66005	C₄	semidirect
46. #66005	C₄	semidirect
47. #65975	C₄	semidirect
48. #65975	C₄	semidirect
51. #65918	C₄	semidirect
55. #65902	C₄	semidirect
56. #65902	C₄	semidirect
58. #65876	C₄	semidirect
59. #65867	C₄	semidirect
60. #65867	C₄	semidirect
270. C₅×C₄⋊Q₈	C₂×C₄	semidirect
271. C₅×#126	C₂×C₄	semidirect
272. C₅×#126	C₂×C₄	semidirect
273. C₅×#126	C₂×C₄	semidirect
274. C₅×#126	C₂×C₄	semidirect
277. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
278. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
279. C₄×C₅×Q₈	C₂×C₄	semidirect
280. C₄×C₅×Q₈	C₂×C₄	semidirect
281. C₄×C₅×Q₈	C₂×C₄	semidirect
283. C₅×#117	C₂×C₄	semidirect
284. C₅×#117	C₂×C₄	semidirect
287. #4092	C₂×C₄	semidirect
288. #4092	C₂×C₄	semidirect
289. Q₈×Dic₅	C₂×C₄	semidirect
290. Q₈×Dic₅	C₂×C₄	semidirect
291. Q₈×Dic₅	C₂×C₄	semidirect
292. #4090	C₂×C₄	semidirect
293. #4090	C₂×C₄	semidirect
299. #4072	C₂×C₄	semidirect
300. #4072	C₂×C₄	semidirect
301. #4070	C₂×C₄	semidirect
302. #4070	C₂×C₄	semidirect
303. #4044	C₂×C₄	semidirect
304. #4044	C₂×C₄	semidirect
305. #4044	C₂×C₄	semidirect
306. #4044	C₂×C₄	semidirect
307. #4044	C₂×C₄	semidirect
308. #4044	C₂×C₄	semidirect
309. #4044	C₂×C₄	semidirect
310. #4044	C₂×C₄	semidirect
311. #4044	C₂×C₄	semidirect
312. #4044	C₂×C₄	semidirect
313. #4044	C₂×C₄	semidirect
314. #4044	C₂×C₄	semidirect
315. #4043	C₂×C₄	semidirect
316. #4043	C₂×C₄	semidirect
317. #4042	C₂×C₄	semidirect
318. #4042	C₂×C₄	semidirect
319. #4042	C₂×C₄	semidirect
320. #4042	C₂×C₄	semidirect
322. #4038	C₂×C₄	semidirect
323. #4038	C₂×C₄	semidirect
324. #4038	C₂×C₄	semidirect
325. #4038	C₂×C₄	semidirect
338. #4034	C₂×C₄	semidirect
339. #4034	C₂×C₄	semidirect
340. #4034	C₂×C₄	semidirect
341. #4034	C₂×C₄	semidirect
342. #4033	C₂×C₄	semidirect
343. #4033	C₂×C₄	semidirect
344. #4033	C₂×C₄	semidirect
345. #4033	C₂×C₄	semidirect
346. #4033	C₂×C₄	semidirect
347. #4033	C₂×C₄	semidirect
348. #4033	C₂×C₄	semidirect
349. #4033	C₂×C₄	semidirect
350. #4033	C₂×C₄	semidirect
371. #4025	C₂×C₄	semidirect
372. #4025	C₂×C₄	semidirect
373. #4025	C₂×C₄	semidirect
374. #4025	C₂×C₄	semidirect
375. #4025	C₂×C₄	semidirect
376. #4025	C₂×C₄	semidirect
377. #4025	C₂×C₄	semidirect
378. #4025	C₂×C₄	semidirect
379. #4025	C₂×C₄	semidirect
380. #4025	C₂×C₄	semidirect
381. #4025	C₂×C₄	semidirect
382. #4025	C₂×C₄	semidirect
383. #4024	C₂×C₄	semidirect
384. #4024	C₂×C₄	semidirect
385. #4024	C₂×C₄	semidirect
386. #4024	C₂×C₄	semidirect
387. #4023	C₂×C₄	semidirect
388. #4023	C₂×C₄	semidirect
389. #4023	C₂×C₄	semidirect
390. #4023	C₂×C₄	semidirect
391. #4022	C₂×C₄	semidirect
392. #4022	C₂×C₄	semidirect
393. #4022	C₂×C₄	semidirect
394. #4022	C₂×C₄	semidirect
398. #4018	C₂×C₄	semidirect
399. #4018	C₂×C₄	semidirect
400. #4018	C₂×C₄	semidirect
401. #4018	C₂×C₄	semidirect
409. #4015	C₂×C₄	semidirect
410. C₄×Dic₁₀	C₂×C₄	semidirect
411. C₄×Dic₁₀	C₂×C₄	semidirect
412. C₄×Dic₁₀	C₂×C₄	semidirect
413. C₄×Dic₁₀	C₂×C₄	semidirect
414. C₄×Dic₁₀	C₂×C₄	semidirect
415. C₄×Dic₁₀	C₂×C₄	semidirect
416. C₄×Dic₁₀	C₂×C₄	semidirect
417. C₄×Dic₁₀	C₂×C₄	semidirect
418. C₄×Dic₁₀	C₂×C₄	semidirect
776. #556	AGL(1,𝔽₅)	semidirect
1094. C₄⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1123. #126	C₂×AGL(1,𝔽₅)	semidirect
1124. #126	C₂×AGL(1,𝔽₅)	semidirect
1125. #126	C₂×AGL(1,𝔽₅)	semidirect
1126. #126	C₂×AGL(1,𝔽₅)	semidirect
1157. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1158. C₂²⋊Q₈	C₂×AGL(1,𝔽₅)	semidirect
1180. C₄×Q₈	C₂×AGL(1,𝔽₅)	semidirect
1181. C₄×Q₈	C₂×AGL(1,𝔽₅)	semidirect
1182. C₄×Q₈	C₂×AGL(1,𝔽₅)	semidirect
1205. #117	C₂×AGL(1,𝔽₅)	semidirect
1206. #117	C₂×AGL(1,𝔽₅)	semidirect
1828. C₅	#34505	semidirect

Maximal subgroups

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

subgroup	index
D₅×#556	2
#10617390	2
#10617387	2
#10617360	2
#10617359	2
#10617358	2
AGL(1,𝔽₅)×#126	2
#10617328	2
#10617327	2
#10617325	2
#10617288	2
#10617287	2
#10617284	2
#10617283	2
#10617214	2
#10617213	2
#10617210	2
#10617209	2
#10617180	2
#10617175	2
#10617132	2
#10617130	2
#10617129	2
#34505	5