Finite Group Databasebeta

← #13044145

Subgroups — #13044145

Order 1280.

2956 conjugacy classes of subgroups.

The subgroup lattice has 2428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#546C211yesmaximal, characteristic
2#10617557C211yesmaximal, characteristic, complemented
3#10617555C211yesmaximal, characteristic, complemented
4D4×C22⋊AGL(1,𝔽5)C211yesmaximal, characteristic, complemented
5C2×#65779C211yesmaximal, characteristic, complemented
6#10617327C211yesmaximal, characteristic, complemented
7#10617325C211yesmaximal, characteristic, complemented
8#10617307C211yesmaximal, characteristic, complemented
9#10617306C211yesmaximal, characteristic, complemented
10#10617305C211yesmaximal, characteristic, complemented
11AGL(1,𝔽5)×#123C211yesmaximal, characteristic, complemented
12#10617287C211yesmaximal, characteristic, complemented
13#10617283C211yesmaximal, characteristic, complemented
14#10617255C211yesmaximal, characteristic, complemented
15#10617255C211yesmaximal, characteristic, complemented
16#10617254C211yesmaximal, characteristic, complemented
17#10617252C211yesmaximal, characteristic, complemented
18#10617252C211yesmaximal, characteristic, complemented
19AGL(1,𝔽5)×#121C211yesmaximal, characteristic, complemented
20#10617223C211yesmaximal, characteristic, complemented
21#10617223C211yesmaximal, characteristic, complemented
22#10617222C211yesmaximal, characteristic, complemented
23AGL(1,𝔽5)×#120C211yesmaximal, characteristic, complemented
24#10617180C211yesmaximal, characteristic, complemented
25#10617180C211yesmaximal, characteristic, complemented
26#10617173C211yesmaximal, characteristic, complemented
27#10617172C211yesmaximal, characteristic, complemented
28#10617072C211yesmaximal, characteristic, complemented
29#10617072C211yesmaximal, characteristic, complemented
30#10617067C211yesmaximal, characteristic, complemented
31C2×C22⋊C4×AGL(1,𝔽5)C211yesmaximal, characteristic, complemented
32C24×AGL(1,𝔽5)C2211yescharacteristic
33C2×D5×#41C2211yescharacteristic
34C22×D4×D5C2211yescharacteristic
35C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
36C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
37C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
38C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
39C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
40C2×D4×AGL(1,𝔽5)C2211yescharacteristic
41C2×D4×AGL(1,𝔽5)C2211yescharacteristic
42C2×D4×AGL(1,𝔽5)C2211yescharacteristic
43C2×D4×AGL(1,𝔽5)C2211yescharacteristic
44C2×D4×AGL(1,𝔽5)C2211yescharacteristic, complemented
45C2×D4×AGL(1,𝔽5)C2211yescharacteristic, complemented
46C2×D4×AGL(1,𝔽5)C2211yescharacteristic, complemented
47C2×D4×AGL(1,𝔽5)C2211yescharacteristic, complemented
48C2×#4130C2211yescharacteristic, complemented
49C2×#4130C2211yescharacteristic, complemented
50C22×C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
51C22×C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
52C5×#546C411yescharacteristic, complemented
53#66163C411yescharacteristic, complemented
54#66140C411yescharacteristic, complemented
55#66010C411yescharacteristic, complemented
56D5×#124C2211yescharacteristic
57#65988C411yescharacteristic, complemented
58#65988C411yescharacteristic, complemented
59D5×#123C2211yescharacteristic
60D5×#123C2211yescharacteristic
61#65964C411yescharacteristic, complemented
62D5×C22⋊Q8C2211yescharacteristic
63#65946C411yescharacteristic, complemented
64#65944C411yescharacteristic, complemented
65#65944C411yescharacteristic, complemented
66D5×#121C2211yescharacteristic
67D5×#121C2211yescharacteristic
68D5×#121C2211yescharacteristic
69#65925C411yescharacteristic, complemented
70#65925C411yescharacteristic, complemented
71D5×#120C2211yescharacteristic
72D5×#120C2211yescharacteristic
73#65888C411yescharacteristic, complemented
74#65884C411yescharacteristic, complemented
75C4×D4×D5C2211yescharacteristic
76C4×D4×D5C2211yescharacteristic
77#65824C411yescharacteristic, complemented
78#65824C411yescharacteristic, complemented
79C2×D5×C22⋊C4C2211yescharacteristic
80C2×D5×C22⋊C4C2211yescharacteristic
81#65800C2211yescharacteristic
82#65800C2211yescharacteristic
83(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic, complemented
84(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic, complemented
85(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic, complemented
86(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic, complemented
87#65780C2211yescharacteristic
88#65780C2211yescharacteristic
89#65780C2211yescharacteristic, complemented
90#65780C2211yescharacteristic, complemented
91#65780C2211yescharacteristic, complemented
92#65780C2211yescharacteristic, complemented
93#65779C2211yescharacteristic
94#65779C2211yescharacteristic
95#65779C2211yescharacteristic
96#65779C2211yescharacteristic
97#65779C2211yescharacteristic
98#65779C2211yescharacteristic
99#65779C2211yescharacteristic
100#65779C2211yescharacteristic
101#65779C2211yescharacteristic
102#65779C2211yescharacteristic
103#65779C2211yescharacteristic
104#65779C2211yescharacteristic
105#65779C2211yescharacteristic
106#65779C2211yescharacteristic
107#65779C2211yescharacteristic, complemented
108#65779C2211yescharacteristic, complemented
109#65779C2211yescharacteristic, complemented
110#65779C2211yescharacteristic, complemented
111#65779C2211yescharacteristic, complemented
112#65779C2211yescharacteristic, complemented
113#65779C2211yescharacteristic, complemented
114#65779C2211yescharacteristic, complemented
115#65765C2211yescharacteristic
116#65765C2211yescharacteristic, complemented
117#65765C2211yescharacteristic, complemented
118#65764C2211yescharacteristic, complemented
119#65764C2211yescharacteristic, complemented
120#65764C2211yescharacteristic, complemented
121C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
122C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
123C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
124C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
125C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
126C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
127C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
128C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
129C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
130C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic
131C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic
132C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic, complemented
133C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic, complemented
134C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic, complemented
135#65712C2211yescharacteristic, complemented
136#65712C2211yescharacteristic, complemented
137#65711C2211yescharacteristic, complemented
138#65711C2211yescharacteristic, complemented
139#65711C2211yescharacteristic, complemented
140#65711C2211yescharacteristic, complemented
141#65711C2211yescharacteristic, complemented
142#65711C2211yescharacteristic, complemented
143#65711C2211yescharacteristic, complemented
144#65711C2211yescharacteristic, complemented
145#65711C2211yescharacteristic, complemented
146#65711C2211yescharacteristic, complemented
147C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
148C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
149C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
150C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
151#65700C2211yescharacteristic, complemented
152#65700C2211yescharacteristic, complemented
153#65700C2211yescharacteristic, complemented
154#65700C2211yescharacteristic, complemented
155#65700C2211yescharacteristic, complemented
156#65700C2211yescharacteristic, complemented
157#65700C2211yescharacteristic, complemented
158#65700C2211yescharacteristic, complemented
159#65700C2211yescharacteristic, complemented
160#65700C2211yescharacteristic, complemented
161#65700C2211yescharacteristic, complemented
162#65700C2211yescharacteristic, complemented
163#65700C2211yescharacteristic, complemented
164#65700C2211yescharacteristic, complemented
165#65700C2211yescharacteristic, complemented
166#65700C2211yescharacteristic, complemented
167#65700C2211yescharacteristic, complemented
168#65700C2211yescharacteristic, complemented
169#65699C2211yescharacteristic
170#65699C2211yescharacteristic
171#65699C2211yescharacteristic
172#65699C2211yescharacteristic
173#65699C2211yescharacteristic, complemented
174#65699C2211yescharacteristic, complemented
175#65699C2211yescharacteristic, complemented
176#65699C2211yescharacteristic, complemented
177C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
178C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
179C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
180C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
181C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
182C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
183C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
184C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
185C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
186C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
187C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
188C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
189C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
190C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
191C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
192C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
193C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
194C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
195C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
196C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
197C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
198C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
199#65690C2211yescharacteristic, complemented
200C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
201#65686C2211yescharacteristic, complemented
202#65686C2211yescharacteristic, complemented
203#34302—51nomaximal, Sylow
204C24×D5C2311yescharacteristic
205C24×D5C2311yescharacteristic
206C23×AGL(1,𝔽5)—24no—
207C23×AGL(1,𝔽5)—42no—
208C23×AGL(1,𝔽5)—42no—
209C23×AGL(1,𝔽5)C2311yescharacteristic
210C23×AGL(1,𝔽5)C2311yescharacteristic
211C23×AGL(1,𝔽5)C2311yescharacteristic
212C23×AGL(1,𝔽5)C2311yescharacteristic
213C23×AGL(1,𝔽5)C2311yescharacteristic
214C23×AGL(1,𝔽5)C2311yescharacteristic
215C23×AGL(1,𝔽5)C2311yescharacteristic
216C23×AGL(1,𝔽5)C2311yescharacteristic
217C23×AGL(1,𝔽5)C2311yescharacteristic
218C23×AGL(1,𝔽5)C2311yescharacteristic
219C23×AGL(1,𝔽5)C2311yescharacteristic
220C23×AGL(1,𝔽5)C2311yescharacteristic
221C23×AGL(1,𝔽5)C2311yescharacteristic
222C23×AGL(1,𝔽5)C2311yescharacteristic
223C2×C5×#41C2×C411yescharacteristic, complemented
224C22×C5×D4C2×C411yescharacteristic, complemented
225C22×C22⋊D5C2×C411yescharacteristic, complemented
226C22×C22⋊D5C2×C411yescharacteristic, complemented
227D5×#41—42no—
228D5×#41—42no—
229C2×#713C2×C411yescharacteristic, complemented
230C2×Q8×D5C2311yescharacteristic
231C2×#711C2×C411yescharacteristic, complemented
232C2×#711C2×C411yescharacteristic, complemented
233C2×#711C2×C411yescharacteristic, complemented
234C2×D4×D5—42no—
235C2×D4×D5—42no—
236C2×D4×D5C2×C411yescharacteristic, complemented
237C2×D4×D5C2×C411yescharacteristic, complemented
238C2×D4×D5C2×C411yescharacteristic, complemented
239C2×D4×D5C2×C411yescharacteristic, complemented
240C2×D4×D5C2311yescharacteristic
241C2×D4×D5C2311yescharacteristic
242C2×D4×D5C2311yescharacteristic
243C2×D4×D5C2311yescharacteristic
244C2×D4×D5C2311yescharacteristic
245C2×D4×D5C2311yescharacteristic
246C2×D4×D5C2311yescharacteristic
247C2×D4×D5C2311yescharacteristic
248C2×D4×D5C2311yescharacteristic
249C2×#709C2×C411yescharacteristic, complemented
250C2×#709C2×C411yescharacteristic, complemented
251C2×#709C2×C411yescharacteristic, complemented
252C22×D20C2×C411yescharacteristic, complemented
253C22×C4×D5C2311yescharacteristic
254C22×C4×D5C2311yescharacteristic
255C22×C4×D5C2311yescharacteristic
256C22×C4×D5C2311yescharacteristic
257C22×C4×D5C2311yescharacteristic
258C22×C4×D5C2311yescharacteristic
259C2×C22⋊AGL(1,𝔽5)—24no—
260C2×C22⋊AGL(1,𝔽5)—24no—
261C2×C22⋊AGL(1,𝔽5)—24no—
262C2×C22⋊AGL(1,𝔽5)—42no—
263C2×C22⋊AGL(1,𝔽5)—42no—
264C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
265C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
266C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
267C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
268C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
269C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
270C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
271C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
272C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
273C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
274C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
275C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
276C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
277C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
278C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
279C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
280C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
281C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
282C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
283C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
284C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
285C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
286C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
287C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
288C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
289C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
290C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
291C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
292C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
293C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
294C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
295C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
296C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
297C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
298D4×AGL(1,𝔽5)—24no—
299D4×AGL(1,𝔽5)—24no—
300D4×AGL(1,𝔽5)—42no—
301D4×AGL(1,𝔽5)—42no—
302D4×AGL(1,𝔽5)—42no—
303D4×AGL(1,𝔽5)—42no—
304D4×AGL(1,𝔽5)—42no—
305D4×AGL(1,𝔽5)—42no—
306#4130—42no—
307#4130—42no—
308C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
309C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
310C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
311C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
312C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
313C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
314C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
315C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
316C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
317C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
318C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
319C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
320C2×C4×AGL(1,𝔽5)—42no—
321C2×C4×AGL(1,𝔽5)—42no—
322C2×C4×AGL(1,𝔽5)C2311yescharacteristic
323C2×C4×AGL(1,𝔽5)C2311yescharacteristic
324C2×C4×AGL(1,𝔽5)C2311yescharacteristic
325C2×C4×AGL(1,𝔽5)C2311yescharacteristic
326C2×C4×AGL(1,𝔽5)C2311yescharacteristic
327C2×C4×AGL(1,𝔽5)C2311yescharacteristic
328C2×C4×AGL(1,𝔽5)C2311yescharacteristic
329C2×C4×AGL(1,𝔽5)C2311yescharacteristic
330C2×C4×AGL(1,𝔽5)C2311yescharacteristic
331C2×C4×AGL(1,𝔽5)C2311yescharacteristic
332C2×C4×AGL(1,𝔽5)C2311yescharacteristic
333C2×C4×AGL(1,𝔽5)C2311yescharacteristic
334C2×C4×AGL(1,𝔽5)C2311yescharacteristic
335C2×C4×AGL(1,𝔽5)C2311yescharacteristic
336C2×C4×AGL(1,𝔽5)C2311yescharacteristic
337C2×C4×AGL(1,𝔽5)C2311yescharacteristic
338C2×C4×AGL(1,𝔽5)C2311yescharacteristic
339C2×C4×AGL(1,𝔽5)C2311yescharacteristic
340C2×C4×AGL(1,𝔽5)C2311yescharacteristic
341C2×C4×AGL(1,𝔽5)C2311yescharacteristic
342C5×#124C2×C411yescharacteristic, complemented
343C5×#123C2×C411yescharacteristic, complemented
344C5×#123C2×C411yescharacteristic, complemented
345C5×C22⋊Q8C2×C411yescharacteristic, complemented
346C5×#121C2×C411yescharacteristic, complemented
347C5×#121C2×C411yescharacteristic, complemented
348C5×#121C2×C411yescharacteristic, complemented
349C5×#120C2×C411yescharacteristic, complemented
350C5×#120C2×C411yescharacteristic, complemented
351C4×C5×D4C2×C411yescharacteristic, complemented
352C4×C5×D4C2×C411yescharacteristic, complemented
353C2×C5×C22⋊C4C2×C411yescharacteristic, complemented
354C2×C5×C22⋊C4C2×C411yescharacteristic, complemented
355#4099C2×C411yescharacteristic, complemented
356#4099C2×C411yescharacteristic, complemented
357C2×C22⋊Dic5C2×C411yescharacteristic, complemented
358C2×C22⋊Dic5C2×C411yescharacteristic, complemented
359#4093C2×C411yescharacteristic, complemented
360#4092C2×C411yescharacteristic, complemented
361#4085C2×C411yescharacteristic, complemented
362#4085C2×C411yescharacteristic, complemented
363#4085C2×C411yescharacteristic, complemented
364#4085C2×C411yescharacteristic, complemented
365#4085C2×C411yescharacteristic, complemented
366#4085C2×C411yescharacteristic, complemented
367#4084C2×C411yescharacteristic, complemented
368#4084C2×C411yescharacteristic, complemented
369#4084C2×C411yescharacteristic, complemented
370#4083C2×C411yescharacteristic, complemented
371#4083C2×C411yescharacteristic, complemented
372#4083C2×C411yescharacteristic, complemented
373#4083C2×C411yescharacteristic, complemented
374#4083C2×C411yescharacteristic, complemented
375#4083C2×C411yescharacteristic, complemented
376#4082C2×C411yescharacteristic, complemented
377#4081C2×C411yescharacteristic, complemented
378#4081C2×C411yescharacteristic, complemented
379D4×Dic5C2×C411yescharacteristic, complemented
380D4×Dic5C2×C411yescharacteristic, complemented
381#4076C2×C411yescharacteristic, complemented
382#4076C2×C411yescharacteristic, complemented
383#4076C2×C411yescharacteristic, complemented
384#4075C2×C411yescharacteristic, complemented
385#4075C2×C411yescharacteristic, complemented
386C4×C22⋊D5C2×C411yescharacteristic, complemented
387C4×C22⋊D5C2×C411yescharacteristic, complemented
388C4×C22⋊D5C2×C411yescharacteristic, complemented
389C4×C22⋊D5C2×C411yescharacteristic, complemented
390C2×#685C2×C411yescharacteristic, complemented
391C2×#685C2×C411yescharacteristic, complemented
392C2×#685C2×C411yescharacteristic, complemented
393C2×#685C2×C411yescharacteristic, complemented
394#4070C2×C411yescharacteristic, complemented
395#4043C2×C411yescharacteristic, complemented
396#4042C2×C411yescharacteristic, complemented
397#4042C2×C411yescharacteristic, complemented
398#4041C2×C411yescharacteristic, complemented
399#4041C2×C411yescharacteristic, complemented
400#4041C2×C411yescharacteristic, complemented
401#4040C2×C411yescharacteristic, complemented
402#4040C2×C411yescharacteristic, complemented
403#4040C2×C411yescharacteristic, complemented
404#4040C2×C411yescharacteristic, complemented
405#4039C2×C411yescharacteristic, complemented
406#4039C2×C411yescharacteristic, complemented
407D5×C4⋊C4C2311yescharacteristic
408D5×C4⋊C4C2311yescharacteristic
409D5×C4⋊C4C2311yescharacteristic
410D5×C4⋊C4C2311yescharacteristic
411#4032C2×C411yescharacteristic, complemented
412#4032C2×C411yescharacteristic, complemented
413#4031C2×C411yescharacteristic, complemented
414#4031C2×C411yescharacteristic, complemented
415#4031C2×C411yescharacteristic, complemented
416#4031C2×C411yescharacteristic, complemented
417#4030C2×C411yescharacteristic, complemented
418#4030C2×C411yescharacteristic, complemented
419#4030C2×C411yescharacteristic, complemented
420#4030C2×C411yescharacteristic, complemented
421#4030C2×C411yescharacteristic, complemented
422#4030C2×C411yescharacteristic, complemented
423#4029C2×C411yescharacteristic, complemented
424#4029C2×C411yescharacteristic, complemented
425#4029C2×C411yescharacteristic, complemented
426#4029C2×C411yescharacteristic, complemented
427#4028C2×C411yescharacteristic, complemented
428#4028C2×C411yescharacteristic, complemented
429#4028C2×C411yescharacteristic, complemented
430#4028C2×C411yescharacteristic, complemented
431#4028C2×C411yescharacteristic, complemented
432#4028C2×C411yescharacteristic, complemented
433#4027C2×C411yescharacteristic, complemented
434#4027C2×C411yescharacteristic, complemented
435#4027C2×C411yescharacteristic, complemented
436#4027C2×C411yescharacteristic, complemented
437D5×C22⋊C4C2×C411yescharacteristic, complemented
438D5×C22⋊C4C2×C411yescharacteristic, complemented
439D5×C22⋊C4C2×C411yescharacteristic, complemented
440D5×C22⋊C4C2×C411yescharacteristic, complemented
441D5×C22⋊C4C2×C411yescharacteristic, complemented
442D5×C22⋊C4C2×C411yescharacteristic, complemented
443D5×C22⋊C4C2×C411yescharacteristic, complemented
444D5×C22⋊C4C2×C411yescharacteristic, complemented
445D5×C22⋊C4C2311yescharacteristic
446D5×C22⋊C4C2311yescharacteristic
447D5×C22⋊C4C2311yescharacteristic
448D5×C22⋊C4C2311yescharacteristic
449D5×C22⋊C4C2311yescharacteristic
450D5×C22⋊C4C2311yescharacteristic
451D5×C22⋊C4C2311yescharacteristic
452D5×C22⋊C4C2311yescharacteristic
453D5×C22⋊C4C2311yescharacteristic
454D5×C22⋊C4C2311yescharacteristic
455D5×C22⋊C4C2311yescharacteristic
456D5×C22⋊C4C2311yescharacteristic
457#4024C2×C411yescharacteristic, complemented
458#4024C2×C411yescharacteristic, complemented
459#4021C2×C411yescharacteristic, complemented
460C4×D20C2×C411yescharacteristic, complemented
461C4×D20C2×C411yescharacteristic, complemented
462C42×D5C2311yescharacteristic
463(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
464(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
465(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
466(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
467(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
468(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
469(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
470(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
471(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
472(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
473(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
474(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
475(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
476(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
477(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
478(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
479(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
480(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
481(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
482(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
483(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
484(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
485(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
486(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
487(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
488(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
489(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
490(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
491(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
492(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
493(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
494(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
495(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
496(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
497(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
498(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
499(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
500(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
501(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
502(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
503C2×#546—51no—
504#2374—51no—
505#2372—51no—
506#2368—51no—
507#2364—51no—
508#2364—51no—
509#2363—51no—
510#2359—51no—
511#2358—51no—
512#2358—51no—
513#2353—51no—
514#2353—51no—
515#2342—51no—
516#2342—51no—
517#2339—51no—
518D4×C22⋊C4—51no—
519#2337—51no—
520#2335—51no—
521#2333—51no—
522#2333—51no—
523#2329—51no—
524#2321—51no—
525C4×#123—51no—
526C4×#121—51no—
527C4×#120—51no—
528#2297—51no—
529#2290—51no—
530C2×#386—51no—
531#2275—51no—
532#2273—51no—
533C2×C4×C22⋊C4—51no—
534C24×C5C22×C411yescharacteristic
535C24×C5C22×C411yescharacteristic
536C23×D5—22no—
537C23×D5—22no—
538C23×D5—22no—
539C23×D5—22no—
540C23×D5—22no—
541C23×D5—22no—
542C23×D5—41no—
543C23×D5—41no—
544C23×D5—41no—
545C23×D5—41no—
546C23×D5—41no—
547C23×D5—41no—
548C23×D5C22×C411yescharacteristic
549C23×D5C22×C411yescharacteristic
550C23×D5C22×C411yescharacteristic
551C23×D5C22×C411yescharacteristic
552C23×D5C22×C411yescharacteristic
553C23×D5C22×C411yescharacteristic
554C23×D5C2411yescharacteristic
555C23×D5C2411yescharacteristic
556C23×D5C2411yescharacteristic
557C23×D5C2411yescharacteristic
558C23×D5C2411yescharacteristic
559C23×D5C2411yescharacteristic
560C22×AGL(1,𝔽5)—22no—
561C22×AGL(1,𝔽5)—22no—
562C22×AGL(1,𝔽5)—22no—
563C22×AGL(1,𝔽5)—22no—
564C22×AGL(1,𝔽5)—22no—
565C22×AGL(1,𝔽5)—22no—
566C22×AGL(1,𝔽5)—22no—
567C22×AGL(1,𝔽5)—22no—
568C22×AGL(1,𝔽5)—22no—
569C22×AGL(1,𝔽5)—22no—
570C22×AGL(1,𝔽5)—22no—
571C22×AGL(1,𝔽5)—22no—
572C22×AGL(1,𝔽5)—22no—
573C22×AGL(1,𝔽5)—22no—
574C22×AGL(1,𝔽5)—22no—
575C22×AGL(1,𝔽5)—22no—
576C22×AGL(1,𝔽5)—22no—
577C22×AGL(1,𝔽5)—22no—
578C22×AGL(1,𝔽5)—22no—
579C22×AGL(1,𝔽5)—22no—
580C22×AGL(1,𝔽5)—41no—
581C22×AGL(1,𝔽5)—41no—
582C22×AGL(1,𝔽5)—41no—
583C22×AGL(1,𝔽5)—41no—
584C22×AGL(1,𝔽5)—41no—
585C22×AGL(1,𝔽5)—41no—
586C22×AGL(1,𝔽5)—41no—
587C22×AGL(1,𝔽5)—41no—
588C22×AGL(1,𝔽5)—41no—
589C22×AGL(1,𝔽5)—41no—
590C22×AGL(1,𝔽5)—41no—
591C22×AGL(1,𝔽5)—41no—
592C22×AGL(1,𝔽5)—41no—
593C22×AGL(1,𝔽5)—41no—
594C22×AGL(1,𝔽5)—41no—
595C22×AGL(1,𝔽5)—41no—
596C22×AGL(1,𝔽5)—41no—
597C22×AGL(1,𝔽5)—41no—
598C22×AGL(1,𝔽5)—41no—
599C22×AGL(1,𝔽5)—41no—
600C22×AGL(1,𝔽5)—41no—
601C22×AGL(1,𝔽5)—416no—
602C22×AGL(1,𝔽5)#4114yescomplemented
603C22×AGL(1,𝔽5)C2411yescharacteristic
604C22×AGL(1,𝔽5)C2411yescharacteristic
605C22×AGL(1,𝔽5)C2411yescharacteristic
606C22×AGL(1,𝔽5)C2411yescharacteristic
607C22×AGL(1,𝔽5)C2411yescharacteristic
608C22×AGL(1,𝔽5)C2411yescharacteristic
609C22×AGL(1,𝔽5)C2411yescharacteristic
610C22×AGL(1,𝔽5)C2411yescharacteristic
611C22×AGL(1,𝔽5)C2411yescharacteristic
612C22×AGL(1,𝔽5)C2411yescharacteristic
613C22×AGL(1,𝔽5)C2411yescharacteristic
614C22×AGL(1,𝔽5)C2411yescharacteristic
615C22×AGL(1,𝔽5)C2411yescharacteristic
616C22×AGL(1,𝔽5)C2411yescharacteristic
617C22×AGL(1,𝔽5)C2411yescharacteristic
618C22×AGL(1,𝔽5)C2411yescharacteristic
619C5×#41—42no—
620C2×C5×Q8C22×C411yescharacteristic, complemented
621C2×C5×D4—42no—
622C2×C5×D4C22×C411yescharacteristic
623C2×C5×D4C22×C411yescharacteristic
624C2×C5×D4C22×C411yescharacteristic
625C2×C5×D4C22×C411yescharacteristic
626C2×C5×D4C22×C411yescharacteristic
627C2×C5×D4C22×C411yescharacteristic
628C2×C5×D4C22×C411yescharacteristic
629C2×C5×D4C22×C411yescharacteristic, complemented
630C2×C5×D4C22×C411yescharacteristic, complemented
631C22×C4×C5C22×C411yescharacteristic
632C22×C4×C5C22×C411yescharacteristic
633C22×C4×C5C22×C411yescharacteristic
634C22×C4×C5C22×C411yescharacteristic, complemented
635C22×C4×C5C22×C411yescharacteristic, complemented
636C22×C4×C5C22×C411yescharacteristic, complemented
637C2×C22⋊D5—42no—
638C2×C22⋊D5—42no—
639C2×C22⋊D5C22×C411yescharacteristic
640C2×C22⋊D5C22×C411yescharacteristic
641C2×C22⋊D5C22×C411yescharacteristic
642C2×C22⋊D5C22×C411yescharacteristic
643C2×C22⋊D5C22×C411yescharacteristic
644C2×C22⋊D5C22×C411yescharacteristic
645C2×C22⋊D5C22×C411yescharacteristic
646C2×C22⋊D5C22×C411yescharacteristic
647C2×C22⋊D5C22×C411yescharacteristic
648C2×C22⋊D5C22×C411yescharacteristic
649C2×C22⋊D5C22×C411yescharacteristic
650C2×C22⋊D5C22×C411yescharacteristic
651C2×C22⋊D5C22×C411yescharacteristic
652C2×C22⋊D5C22×C411yescharacteristic
653C2×C22⋊D5C22×C411yescharacteristic, complemented
654C2×C22⋊D5C22×C411yescharacteristic, complemented
655C2×C22⋊D5C22×C411yescharacteristic, complemented
656C2×C22⋊D5C22×C411yescharacteristic, complemented
657C22×Dic5C22×C411yescharacteristic
658C22×Dic5C22×C411yescharacteristic
659C22×Dic5C22×C411yescharacteristic
660C22×Dic5C22×C411yescharacteristic, complemented
661C22×Dic5C22×C411yescharacteristic, complemented
662C22×Dic5C22×C411yescharacteristic, complemented
663#713—42no—
664Q8×D5—41no—
665Q8×D5—41no—
666#711—42no—
667#711—42no—
668#711—42no—
669D4×D5—22no—
670D4×D5—22no—
671D4×D5—22no—
672D4×D5—22no—
673D4×D5—22no—
674D4×D5—22no—
675D4×D5—22no—
676D4×D5—22no—
677D4×D5—41no—
678D4×D5—41no—
679D4×D5—41no—
680D4×D5—41no—
681D4×D5—41no—
682D4×D5—41no—
683D4×D5—41no—
684D4×D5—41no—
685D4×D5—41no—
686D4×D5—41no—
687D4×D5—42no—
688D4×D5—42no—
689D4×D5—42no—
690D4×D5—42no—
691#709—42no—
692#709—42no—
693#709—42no—
694C2×D20—42no—
695C2×D20C22×C411yescharacteristic
696C2×D20C22×C411yescharacteristic
697C2×D20C22×C411yescharacteristic
698C2×D20C22×C411yescharacteristic
699C2×D20C22×C411yescharacteristic
700C2×D20C22×C411yescharacteristic
701C2×D20C22×C411yescharacteristic
702C2×D20C22×C411yescharacteristic, complemented
703C2×D20C22×C411yescharacteristic, complemented
704C2×C4×D5—22no—
705C2×C4×D5—22no—
706C2×C4×D5—41no—
707C2×C4×D5—41no—
708C2×C4×D5—41no—
709C2×C4×D5—41no—
710C2×C4×D5—41no—
711C2×C4×D5—41no—
712C2×C4×D5—41no—
713C2×C4×D5—41no—
714C2×C4×D5—41no—
715C2×C4×D5—41no—
716C2×C4×D5C22×C411yescharacteristic
717C2×C4×D5C22×C411yescharacteristic
718C2×C4×D5C22×C411yescharacteristic
719C2×C4×D5C22×C411yescharacteristic
720C2×C4×D5C22×C411yescharacteristic
721C2×C4×D5C22×C411yescharacteristic
722C2×C4×D5C22×C411yescharacteristic, complemented
723C2×C4×D5C22×C411yescharacteristic, complemented
724C2×C4×D5C22×C411yescharacteristic, complemented
725C2×C4×D5C22×C411yescharacteristic, complemented
726C2×C4×D5C22×C411yescharacteristic, complemented
727C2×C4×D5C22×C411yescharacteristic, complemented
728C2×C4×D5C2411yescharacteristic
729C2×C4×D5C2411yescharacteristic
730C2×C4×D5C2411yescharacteristic
731C2×C4×D5C2411yescharacteristic
732C2×C4×D5C2411yescharacteristic
733C2×C4×D5C2411yescharacteristic
734C2×C4×D5C2411yescharacteristic
735C2×C4×D5C2411yescharacteristic
736C2×C4×D5C2411yescharacteristic
737C2×Dic10C22×C411yescharacteristic, complemented
738C2×Dic10C22×C411yescharacteristic, complemented
739C2×Dic10C22×C411yescharacteristic, complemented
740C22⋊AGL(1,𝔽5)—22no—
741C22⋊AGL(1,𝔽5)—22no—
742C22⋊AGL(1,𝔽5)—22no—
743C22⋊AGL(1,𝔽5)—22no—
744C22⋊AGL(1,𝔽5)—22no—
745C22⋊AGL(1,𝔽5)—22no—
746C22⋊AGL(1,𝔽5)—22no—
747C22⋊AGL(1,𝔽5)—22no—
748C22⋊AGL(1,𝔽5)—22no—
749C22⋊AGL(1,𝔽5)—22no—
750C22⋊AGL(1,𝔽5)—22no—
751C22⋊AGL(1,𝔽5)—22no—
752C22⋊AGL(1,𝔽5)—22no—
753C22⋊AGL(1,𝔽5)—22no—
754C22⋊AGL(1,𝔽5)—22no—
755C22⋊AGL(1,𝔽5)—22no—
756C22⋊AGL(1,𝔽5)—22no—
757C22⋊AGL(1,𝔽5)—22no—
758C22⋊AGL(1,𝔽5)—22no—
759C22⋊AGL(1,𝔽5)—22no—
760C22⋊AGL(1,𝔽5)—41no—
761C22⋊AGL(1,𝔽5)—41no—
762C22⋊AGL(1,𝔽5)—41no—
763C22⋊AGL(1,𝔽5)—41no—
764C22⋊AGL(1,𝔽5)—41no—
765C22⋊AGL(1,𝔽5)—41no—
766C22⋊AGL(1,𝔽5)—41no—
767C22⋊AGL(1,𝔽5)—41no—
768C22⋊AGL(1,𝔽5)—41no—
769C22⋊AGL(1,𝔽5)—41no—
770C22⋊AGL(1,𝔽5)—41no—
771C22⋊AGL(1,𝔽5)—41no—
772C22⋊AGL(1,𝔽5)—41no—
773C22⋊AGL(1,𝔽5)#4114yescomplemented
774C4⋊AGL(1,𝔽5)—22no—
775C4⋊AGL(1,𝔽5)—22no—
776C4⋊AGL(1,𝔽5)—22no—
777C4⋊AGL(1,𝔽5)—41no—
778C4⋊AGL(1,𝔽5)—41no—
779C4⋊AGL(1,𝔽5)—41no—
780C4⋊AGL(1,𝔽5)—41no—
781C4⋊AGL(1,𝔽5)—41no—
782C4⋊AGL(1,𝔽5)—41no—
783C4⋊AGL(1,𝔽5)—41no—
784C4⋊AGL(1,𝔽5)—41no—
785C4⋊AGL(1,𝔽5)—41no—
786C4×AGL(1,𝔽5)—22no—
787C4×AGL(1,𝔽5)—22no—
788C4×AGL(1,𝔽5)—22no—
789C4×AGL(1,𝔽5)—22no—
790C4×AGL(1,𝔽5)—41no—
791C4×AGL(1,𝔽5)—41no—
792C4×AGL(1,𝔽5)—41no—
793C4×AGL(1,𝔽5)—41no—
794C4×AGL(1,𝔽5)—41no—
795C4×AGL(1,𝔽5)—41no—
796C4×AGL(1,𝔽5)—41no—
797C4×AGL(1,𝔽5)—41no—
798C4×AGL(1,𝔽5)—41no—
799C4×AGL(1,𝔽5)—41no—
800C4×AGL(1,𝔽5)—41no—
801C4×AGL(1,𝔽5)—41no—
802C4×AGL(1,𝔽5)—41no—
803C4×AGL(1,𝔽5)—41no—
804C4×AGL(1,𝔽5)—41no—
805C4×AGL(1,𝔽5)—41no—
806C5×C4⋊C4C22×C411yescharacteristic, complemented
807C5×C4⋊C4C22×C411yescharacteristic, complemented
808C5×C4⋊C4C22×C411yescharacteristic, complemented
809C5×C4⋊C4C22×C411yescharacteristic, complemented
810C5×C22⋊C4C22×C411yescharacteristic
811C5×C22⋊C4C22×C411yescharacteristic
812C5×C22⋊C4C22×C411yescharacteristic
813C5×C22⋊C4C22×C411yescharacteristic
814C5×C22⋊C4C22×C411yescharacteristic
815C5×C22⋊C4C22×C411yescharacteristic
816C5×C22⋊C4C22×C411yescharacteristic
817C5×C22⋊C4C22×C411yescharacteristic, complemented
818C5×C22⋊C4C22×C411yescharacteristic, complemented
819C5×C22⋊C4C22×C411yescharacteristic, complemented
820C5×C22⋊C4C22×C411yescharacteristic, complemented
821C5×C22⋊C4C22×C411yescharacteristic, complemented
822C42×C5C22×C411yescharacteristic, complemented
823C22⋊Dic5C22×C411yescharacteristic
824C22⋊Dic5C22×C411yescharacteristic
825C22⋊Dic5C22×C411yescharacteristic
826C22⋊Dic5C22×C411yescharacteristic
827C22⋊Dic5C22×C411yescharacteristic
828C22⋊Dic5C22×C411yescharacteristic
829C22⋊Dic5C22×C411yescharacteristic
830C22⋊Dic5C22×C411yescharacteristic, complemented
831C22⋊Dic5C22×C411yescharacteristic, complemented
832C22⋊Dic5C22×C411yescharacteristic, complemented
833C22⋊Dic5C22×C411yescharacteristic, complemented
834C22⋊Dic5C22×C411yescharacteristic, complemented
835#685C22×C411yescharacteristic
836#685C22×C411yescharacteristic
837#685C22×C411yescharacteristic
838#685C22×C411yescharacteristic
839#685C22×C411yescharacteristic
840#685C22×C411yescharacteristic
841#685C22×C411yescharacteristic
842#685C22×C411yescharacteristic
843#685C22×C411yescharacteristic
844#685C22×C411yescharacteristic
845#685C22×C411yescharacteristic
846#685C22×C411yescharacteristic
847#685C22×C411yescharacteristic
848#685C22×C411yescharacteristic
849#685C22×C411yescharacteristic, complemented
850#685C22×C411yescharacteristic, complemented
851#685C22×C411yescharacteristic, complemented
852#685C22×C411yescharacteristic, complemented
853#685C22×C411yescharacteristic, complemented
854#685C22×C411yescharacteristic, complemented
855#685C22×C411yescharacteristic, complemented
856#685C22×C411yescharacteristic, complemented
857#685C22×C411yescharacteristic, complemented
858#685C22×C411yescharacteristic, complemented
859C4⋊Dic5C22×C411yescharacteristic, complemented
860C4⋊Dic5C22×C411yescharacteristic, complemented
861C4⋊Dic5C22×C411yescharacteristic, complemented
862C4⋊Dic5C22×C411yescharacteristic, complemented
863#683C22×C411yescharacteristic, complemented
864#683C22×C411yescharacteristic, complemented
865#683C22×C411yescharacteristic, complemented
866#683C22×C411yescharacteristic, complemented
867#683C22×C411yescharacteristic, complemented
868#683C22×C411yescharacteristic, complemented
869#683C22×C411yescharacteristic, complemented
870#683C22×C411yescharacteristic, complemented
871C4×Dic5C22×C411yescharacteristic, complemented
872C4×Dic5C22×C411yescharacteristic, complemented
873C4×Dic5C22×C411yescharacteristic, complemented
874C22×#41—51no—
875C23×D4—51no—
876C24×C4—51no—
877#546—51no—
878#546—51no—
879#546—51no—
880#546—51no—
881#546—51no—
882#546—51no—
883#546—51no—
884#546—51no—
885#546—51no—
886#546—51no—
887#546—51no—
888#546—51no—
889#546—51no—
890#546—51no—
891#546—51no—
892#546AGL(1,𝔽5)11yescharacteristic, complemented
893C2×#124—51no—
894C2×#123—51no—
895C2×#123—51no—
896C2×C22⋊Q8—51no—
897C2×#121—51no—
898C2×#121—51no—
899C2×#121—51no—
900C2×#120—51no—
901C2×#120—51no—
902C2×C4×D4—51no—
903C2×C4×D4—51no—
904C2×C4×D4—51no—
905C2×C4×D4—51no—
906C2×C4×D4—51no—
907C2×C4×D4—51no—
908C2×C4×D4—51no—
909C2×C4×D4—51no—
910C2×C4×D4—51no—
911C2×C4×D4—51no—
912C2×#117—51no—
913C2×#117—51no—
914C22×C22⋊C4—51no—
915C22×C22⋊C4—51no—
916C22×C22⋊C4—51no—
917C22×C22⋊C4—51no—
918C22×C22⋊C4—51no—
919C22×C22⋊C4—51no—
920C22×C22⋊C4—51no—
921C22×C42—51no—
922C22×C42—51no—
923#391—51no—
924#391—51no—
925#391—51no—
926#391—51no—
927#390—51no—
928#390—51no—
929#390—51no—
930#390—51no—
931#390—51no—
932#390—51no—
933#389—51no—
934#389—51no—
935#388—51no—
936#388—51no—
937#388—51no—
938#388—51no—
939#388—51no—
940#388—51no—
941#388—51no—
942#388—51no—
943#388—51no—
944#388—51no—
945#388—51no—
946#388—51no—
947#388—51no—
948#388—51no—
949#388—51no—
950#388—51no—
951#388—51no—
952#388—51no—
953#387—51no—
954#387—51no—
955#387—51no—
956#387—51no—
957#387—51no—
958#387—51no—
959#387—51no—
960#387—51no—
961#387—51no—
962#387—51no—
963#386—51no—
964#386—51no—
965#386—51no—
966#386—51no—
967#386—51no—
968#386—51no—
969#386—51no—
970#386—51no—
971#386—51no—
972#386—51no—
973#386—51no—
974#386—51no—
975#386—51no—
976#386—51no—
977#386—51no—
978#386—51no—
979#386—51no—
980#386—51no—
981#386—51no—
982#386—51no—
983#386—51no—
984#386—51no—
985#385—51no—
986#385—51no—
987#385—51no—
988#385—51no—
989#385—51no—
990#385—51no—
991#385—51no—
992#385—51no—
993#383—51no—
994#381—51no—
995#381—51no—
996#381—51no—
997#380—51no—
998#380—51no—
999#380—51no—
1000#379—51no—
1001#379—51no—
1002C4×C4⋊C4—51no—
1003C4×C4⋊C4—51no—
1004C4×C4⋊C4—51no—
1005C4×C4⋊C4—51no—
1006C4×C4⋊C4—51no—
1007C4×C22⋊C4—51no—
1008C4×C22⋊C4—51no—
1009C4×C22⋊C4—51no—
1010C4×C22⋊C4—51no—
1011C4×C22⋊C4—51no—
1012C4×C22⋊C4—51no—
1013C4×C22⋊C4—51no—
1014C4×C22⋊C4—51no—
1015C4×C22⋊C4—51no—
1016C4×C22⋊C4—51no—
1017C4×C22⋊C4—51no—
1018C4×C22⋊C4—51no—
1019C4×C22⋊C4—51no—
1020C4×C22⋊C4—51no—
1021C4×C22⋊C4—51no—
1022C4×C22⋊C4—51no—
1023C4×C22⋊C4—51no—
1024C4×C22⋊C4—51no—
1025C4×C22⋊C4—51no—
1026C4×C22⋊C4—51no—
1027C4×C22⋊C4—51no—
1028C4×C22⋊C4—51no—
1029C4×C22⋊C4—51no—
1030C4×C22⋊C4—51no—
1031C4×C22⋊C4—51no—
1032C4×C22⋊C4—51no—
1033C4×C22⋊C4—51no—
1034C4×C22⋊C4—51no—
1035C4×C22⋊C4—51no—
1036C4×C22⋊C4—51no—
1037C4×C22⋊C4—51no—
1038#376—51no—
1039#376—51no—
1040C2×#95—51no—
1041C2×#95—51no—
1042C2×#95—51no—
1043C2×#95—51no—
1044C2×#95—51no—
1045C23×C5—22no—
1046C23×C5—22no—
1047C23×C5—22no—
1048C23×C5—41no—
1049C23×C5—41no—
1050C23×C5—41no—
1051C23×C5C23×C411yescharacteristic
1052C23×C5C23×C411yescharacteristic
1053C23×C5C23×C411yescharacteristic
1054C23×C5C23×C411yescharacteristic
1055C23×C5C23×C411yescharacteristic
1056C23×C5C23×C411yescharacteristic
1057C22×D5—21no—
1058C22×D5—21no—
1059C22×D5—21no—
1060C22×D5—21no—
1061C22×D5—21no—
1062C22×D5—21no—
1063C22×D5—21no—
1064C22×D5—21no—
1065C22×D5—22no—
1066C22×D5—22no—
1067C22×D5—22no—
1068C22×D5—22no—
1069C22×D5—22no—
1070C22×D5—22no—
1071C22×D5—22no—
1072C22×D5—21no—
1073C22×D5—21no—
1074C22×D5—21no—
1075C22×D5—21no—
1076C22×D5—21no—
1077C22×D5—21no—
1078C22×D5—21no—
1079C22×D5—21no—
1080C22×D5—21no—
1081C22×D5—21no—
1082C22×D5—21no—
1083C22×D5—21no—
1084C22×D5—21no—
1085C22×D5—21no—
1086C22×D5—21no—
1087C22×D5—21no—
1088C22×D5—21no—
1089C22×D5—21no—
1090C22×D5—21no—
1091C22×D5—21no—
1092C22×D5—21no—
1093C22×D5—21no—
1094C22×D5—21no—
1095C22×D5—21no—
1096C22×D5—22no—
1097C22×D5—22no—
1098C22×D5—41no—
1099C22×D5—41no—
1100C22×D5—41no—
1101C22×D5—44no—
1102C22×D5—44no—
1103C22×D5—44no—
1104C22×D5—44no—
1105C22×D5—41no—
1106C22×D5—41no—
1107C22×D5—41no—
1108C22×D5—41no—
1109C22×D5—41no—
1110C22×D5—41no—
1111C22×D5—82no—
1112C22×D5—82no—
1113C22×D5—82no—
1114C22×D5—82no—
1115C22×D5C23×C411yescharacteristic
1116C22×D5C23×C411yescharacteristic
1117C22×D5C23×C411yescharacteristic
1118C22×D5C23×C411yescharacteristic
1119C22×D5C23×C411yescharacteristic
1120C22×D5C23×C411yescharacteristic
1121C22×D5C2×#4112yes—
1122C22×D5C2×#4112yes—
1123C22×D5H(5,𝔽2)12yes—
1124C22×D5H(5,𝔽2)12yes—
1125C22×D5C2511yescharacteristic
1126C2×AGL(1,𝔽5)—28no—
1127C2×AGL(1,𝔽5)—21no—
1128C2×AGL(1,𝔽5)—21no—
1129C2×AGL(1,𝔽5)—21no—
1130C2×AGL(1,𝔽5)—21no—
1131C2×AGL(1,𝔽5)—21no—
1132C2×AGL(1,𝔽5)—21no—
1133C2×AGL(1,𝔽5)—21no—
1134C2×AGL(1,𝔽5)—21no—
1135C2×AGL(1,𝔽5)—21no—
1136C2×AGL(1,𝔽5)—21no—
1137C2×AGL(1,𝔽5)—21no—
1138C2×AGL(1,𝔽5)—21no—
1139C2×AGL(1,𝔽5)—21no—
1140C2×AGL(1,𝔽5)—21no—
1141C2×AGL(1,𝔽5)—21no—
1142C2×AGL(1,𝔽5)—21no—
1143C2×AGL(1,𝔽5)—21no—
1144C2×AGL(1,𝔽5)—21no—
1145C2×AGL(1,𝔽5)—21no—
1146C2×AGL(1,𝔽5)—21no—
1147C2×AGL(1,𝔽5)—21no—
1148C2×AGL(1,𝔽5)—21no—
1149C2×AGL(1,𝔽5)—21no—
1150C2×AGL(1,𝔽5)—21no—
1151C2×AGL(1,𝔽5)—21no—
1152C2×AGL(1,𝔽5)—21no—
1153C2×AGL(1,𝔽5)—21no—
1154C2×AGL(1,𝔽5)—21no—
1155C2×AGL(1,𝔽5)—21no—
1156C2×AGL(1,𝔽5)—21no—
1157C2×AGL(1,𝔽5)—21no—
1158C2×AGL(1,𝔽5)—21no—
1159C2×AGL(1,𝔽5)—21no—
1160C2×AGL(1,𝔽5)—21no—
1161C2×AGL(1,𝔽5)—21no—
1162C2×AGL(1,𝔽5)—21no—
1163C2×AGL(1,𝔽5)—21no—
1164C2×AGL(1,𝔽5)—21no—
1165C2×AGL(1,𝔽5)—21no—
1166C2×AGL(1,𝔽5)—21no—
1167C2×AGL(1,𝔽5)—21no—
1168C2×AGL(1,𝔽5)—21no—
1169C2×AGL(1,𝔽5)—21no—
1170C2×AGL(1,𝔽5)—44no—
1171C2×AGL(1,𝔽5)—44no—
1172C2×AGL(1,𝔽5)—44no—
1173C2×AGL(1,𝔽5)—44no—
1174C2×AGL(1,𝔽5)—44no—
1175C2×AGL(1,𝔽5)—44no—
1176C2×AGL(1,𝔽5)—44no—
1177C2×AGL(1,𝔽5)—82no—
1178C2×AGL(1,𝔽5)—82no—
1179C2×AGL(1,𝔽5)—82no—
1180C2×AGL(1,𝔽5)—82no—
1181C2×AGL(1,𝔽5)—82no—
1182C2×AGL(1,𝔽5)—82no—
1183C2×AGL(1,𝔽5)C2×#4112yes—
1184C2×AGL(1,𝔽5)C2×#4112yes—
1185C2×AGL(1,𝔽5)C2×#4112yes—
1186C2×AGL(1,𝔽5)C2×#4112yes—
1187C2×AGL(1,𝔽5)H(5,𝔽2)12yes—
1188C5×Q8—41no—
1189C5×D4—22no—
1190C5×D4—22no—
1191C5×D4—22no—
1192C5×D4—22no—
1193C5×D4—41no—
1194C5×D4—41no—
1195C5×D4—41no—
1196C5×D4—41no—
1197C5×D4—41no—
1198C2×C4×C5—22no—
1199C2×C4×C5—41no—
1200C2×C4×C5—41no—
1201C2×C4×C5—41no—
1202C2×C4×C5—41no—
1203C2×C4×C5—41no—
1204C2×C4×C5C23×C411yescharacteristic
1205C2×C4×C5C23×C411yescharacteristic
1206C2×C4×C5C23×C411yescharacteristic
1207C2×C4×C5C23×C411yescharacteristic
1208C2×C4×C5C23×C411yescharacteristic
1209C2×C4×C5C23×C411yescharacteristic
1210C2×C4×C5C23×C411yescharacteristic
1211C2×C4×C5C23×C411yescharacteristic
1212C2×C4×C5C23×C411yescharacteristic
1213C22⋊D5—22no—
1214C22⋊D5—22no—
1215C22⋊D5—22no—
1216C22⋊D5—22no—
1217C22⋊D5—22no—
1218C22⋊D5—22no—
1219C22⋊D5—22no—
1220C22⋊D5—22no—
1221C22⋊D5—41no—
1222C22⋊D5—41no—
1223C22⋊D5—41no—
1224C22⋊D5—41no—
1225C22⋊D5—41no—
1226C22⋊D5—41no—
1227C22⋊D5—41no—
1228C22⋊D5—41no—
1229C22⋊D5—41no—
1230C22⋊D5—41no—
1231C2×Dic5—22no—
1232C2×Dic5—41no—
1233C2×Dic5—41no—
1234C2×Dic5—41no—
1235C2×Dic5—41no—
1236C2×Dic5—41no—
1237C2×Dic5C23×C411yescharacteristic
1238C2×Dic5C23×C411yescharacteristic
1239C2×Dic5C23×C411yescharacteristic
1240C2×Dic5C23×C411yescharacteristic
1241C2×Dic5C23×C411yescharacteristic
1242C2×Dic5C23×C411yescharacteristic
1243C2×Dic5C23×C411yescharacteristic
1244C2×Dic5C23×C411yescharacteristic
1245C2×Dic5C23×C411yescharacteristic
1246D20—22no—
1247D20—22no—
1248D20—22no—
1249D20—22no—
1250D20—41no—
1251D20—41no—
1252D20—41no—
1253D20—41no—
1254D20—41no—
1255C4×D5—22no—
1256C4×D5—22no—
1257C4×D5—21no—
1258C4×D5—21no—
1259C4×D5—21no—
1260C4×D5—21no—
1261C4×D5—21no—
1262C4×D5—21no—
1263C4×D5—21no—
1264C4×D5—21no—
1265C4×D5—21no—
1266C4×D5—21no—
1267C4×D5—21no—
1268C4×D5—21no—
1269C4×D5—21no—
1270C4×D5—21no—
1271C4×D5—21no—
1272C4×D5—21no—
1273C4×D5—21no—
1274C4×D5—21no—
1275C4×D5—41no—
1276C4×D5—41no—
1277C4×D5—41no—
1278C4×D5—41no—
1279C4×D5—41no—
1280C4×D5—41no—
1281C4×D5—41no—
1282C4×D5—41no—
1283C4×D5—41no—
1284C4×D5—41no—
1285Dic10—41no—
1286Dic10—41no—
1287Dic10—41no—
1288C25—51no—
1289C25—51no—
1290C2×#41—51no—
1291C2×#41—51no—
1292C2×#41—51no—
1293C2×#41—51no—
1294C2×#41—51no—
1295C2×#41—51no—
1296C2×#41—51no—
1297C2×#41—202no—
1298C2×#41—202no—
1299C2×#41C2×AGL(1,𝔽5)11yescharacteristic, complemented
1300C22×Q8—51no—
1301C22×D4—51no—
1302C22×D4—51no—
1303C22×D4—51no—
1304C22×D4—51no—
1305C22×D4—51no—
1306C22×D4—51no—
1307C22×D4—51no—
1308C22×D4—51no—
1309C22×D4—51no—
1310C22×D4—51no—
1311C22×D4—51no—
1312C22×D4—51no—
1313C22×D4—51no—
1314C22×D4—51no—
1315C22×D4—51no—
1316C22×D4—51no—
1317C22×D4—202no—
1318C22×D4—202no—
1319C22×D4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1320C23×C4—51no—
1321C23×C4—51no—
1322C23×C4—51no—
1323C23×C4—51no—
1324C23×C4—51no—
1325C23×C4—51no—
1326C23×C4—51no—
1327C23×C4—51no—
1328C23×C4—51no—
1329C23×C4—51no—
1330C23×C4—51no—
1331C23×C4—51no—
1332C23×C4—51no—
1333C23×C4—51no—
1334C23×C4—51no—
1335C23×C4—51no—
1336C23×C4—51no—
1337C23×C4—51no—
1338C23×C4—51no—
1339C23×C4—51no—
1340C23×C4—104no—
1341C23×C4—202no—
1342C23×C4—202no—
1343#124—51no—
1344#124—51no—
1345#124—51no—
1346#124—51no—
1347#124—51no—
1348#124—51no—
1349#124—51no—
1350#124C2×AGL(1,𝔽5)11yescharacteristic, complemented
1351#123—51no—
1352#123—51no—
1353#123—51no—
1354#123—51no—
1355#123—51no—
1356#123—51no—
1357#123—51no—
1358#123—51no—
1359#123—51no—
1360#123—51no—
1361#123—51no—
1362#123—51no—
1363#123—51no—
1364#123—51no—
1365#123C2×AGL(1,𝔽5)11yescharacteristic, complemented
1366#123C2×AGL(1,𝔽5)11yescharacteristic, complemented
1367C22⋊Q8—51no—
1368C22⋊Q8—51no—
1369C22⋊Q8—51no—
1370C22⋊Q8—51no—
1371C22⋊Q8—51no—
1372C22⋊Q8—51no—
1373C22⋊Q8—51no—
1374C22⋊Q8C2×AGL(1,𝔽5)11yescharacteristic, complemented
1375#121—51no—
1376#121—51no—
1377#121—51no—
1378#121—51no—
1379#121—51no—
1380#121—51no—
1381#121—51no—
1382#121—51no—
1383#121—51no—
1384#121—51no—
1385#121—51no—
1386#121—51no—
1387#121—51no—
1388#121—51no—
1389#121—51no—
1390#121—51no—
1391#121—51no—
1392#121—51no—
1393#121—51no—
1394#121—51no—
1395#121—51no—
1396#121C2×AGL(1,𝔽5)11yescharacteristic, complemented
1397#121C2×AGL(1,𝔽5)11yescharacteristic, complemented
1398#121C2×AGL(1,𝔽5)11yescharacteristic, complemented
1399#120—51no—
1400#120—51no—
1401#120—51no—
1402#120—51no—
1403#120—51no—
1404#120—51no—
1405#120—51no—
1406#120—51no—
1407#120—51no—
1408#120—51no—
1409#120—51no—
1410#120—51no—
1411#120—51no—
1412#120—51no—
1413#120C2×AGL(1,𝔽5)11yescharacteristic, complemented
1414#120C2×AGL(1,𝔽5)11yescharacteristic, complemented
1415C4×D4—51no—
1416C4×D4—51no—
1417C4×D4—51no—
1418C4×D4—51no—
1419C4×D4—51no—
1420C4×D4—51no—
1421C4×D4—51no—
1422C4×D4—51no—
1423C4×D4—51no—
1424C4×D4—51no—
1425C4×D4—51no—
1426C4×D4—51no—
1427C4×D4—51no—
1428C4×D4—51no—
1429C4×D4—104no—
1430C4×D4—104no—
1431C4×D4—202no—
1432C4×D4—202no—
1433C4×D4—202no—
1434C4×D4—202no—
1435C4×D4—202no—
1436C4×D4—202no—
1437C4×D4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1438C4×D4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1439#117—202no—
1440#117—202no—
1441C2×C4⋊C4—51no—
1442C2×C4⋊C4—51no—
1443C2×C4⋊C4—51no—
1444C2×C4⋊C4—51no—
1445C2×C4⋊C4—51no—
1446C2×C4⋊C4—51no—
1447C2×C4⋊C4—51no—
1448C2×C4⋊C4—51no—
1449C2×C4⋊C4—51no—
1450C2×C4⋊C4—51no—
1451C2×C4⋊C4—51no—
1452C2×C4⋊C4—51no—
1453C2×C4⋊C4—51no—
1454C2×C4⋊C4—51no—
1455C2×C4⋊C4—51no—
1456C2×C4⋊C4—51no—
1457C2×C22⋊C4—51no—
1458C2×C22⋊C4—51no—
1459C2×C22⋊C4—51no—
1460C2×C22⋊C4—51no—
1461C2×C22⋊C4—51no—
1462C2×C22⋊C4—51no—
1463C2×C22⋊C4—51no—
1464C2×C22⋊C4—51no—
1465C2×C22⋊C4—51no—
1466C2×C22⋊C4—51no—
1467C2×C22⋊C4—51no—
1468C2×C22⋊C4—51no—
1469C2×C22⋊C4—51no—
1470C2×C22⋊C4—51no—
1471C2×C22⋊C4—51no—
1472C2×C22⋊C4—51no—
1473C2×C22⋊C4—51no—
1474C2×C22⋊C4—51no—
1475C2×C22⋊C4—51no—
1476C2×C22⋊C4—51no—
1477C2×C22⋊C4—51no—
1478C2×C22⋊C4—51no—
1479C2×C22⋊C4—51no—
1480C2×C22⋊C4—51no—
1481C2×C22⋊C4—51no—
1482C2×C22⋊C4—51no—
1483C2×C22⋊C4—51no—
1484C2×C22⋊C4—51no—
1485C2×C22⋊C4—51no—
1486C2×C22⋊C4—51no—
1487C2×C22⋊C4—51no—
1488C2×C22⋊C4—51no—
1489C2×C22⋊C4—51no—
1490C2×C22⋊C4—51no—
1491C2×C22⋊C4—51no—
1492C2×C22⋊C4—51no—
1493C2×C22⋊C4—51no—
1494C2×C22⋊C4—51no—
1495C2×C22⋊C4—51no—
1496C2×C22⋊C4—51no—
1497C2×C22⋊C4—51no—
1498C2×C22⋊C4—51no—
1499C2×C22⋊C4—51no—
1500C2×C22⋊C4—51no—
1501C2×C22⋊C4—51no—
1502C2×C22⋊C4—51no—
1503C2×C22⋊C4—51no—
1504C2×C22⋊C4—51no—
1505C2×C22⋊C4—51no—
1506C2×C22⋊C4—51no—
1507C2×C22⋊C4—51no—
1508C2×C22⋊C4—51no—
1509C2×C22⋊C4—51no—
1510C2×C22⋊C4—51no—
1511C2×C22⋊C4—51no—
1512C2×C22⋊C4—51no—
1513C2×C22⋊C4—51no—
1514C2×C22⋊C4—51no—
1515C2×C22⋊C4—51no—
1516C2×C22⋊C4—51no—
1517C2×C22⋊C4—104no—
1518C2×C22⋊C4—104no—
1519C2×C22⋊C4—104no—
1520C2×C22⋊C4—202no—
1521C2×C22⋊C4—202no—
1522C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1523C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1524C2×C42—51no—
1525C2×C42—51no—
1526C2×C42—51no—
1527C2×C42—51no—
1528C2×C42—51no—
1529C2×C42—51no—
1530C2×C42—51no—
1531C2×C42—51no—
1532C2×C42—51no—
1533C2×C42—51no—
1534C2×C42—51no—
1535C2×C42—51no—
1536C2×C42—51no—
1537C2×C42—51no—
1538C2×C42—51no—
1539C2×C42—51no—
1540C2×C42—51no—
1541C2×C42—51no—
1542C2×C42—51no—
1543C2×C42—51no—
1544C2×C42—51no—
1545C2×C42—202no—
1546C2×C42—202no—
1547#95—51no—
1548#95—51no—
1549#95—51no—
1550#95—51no—
1551#95—51no—
1552#95—51no—
1553#95—51no—
1554#95—51no—
1555#95—51no—
1556#95—51no—
1557#95—51no—
1558#95—51no—
1559#95—51no—
1560#95—51no—
1561#95—51no—
1562#95—51no—
1563#95—51no—
1564#95—51no—
1565#95—51no—
1566#95—51no—
1567#95—51no—
1568#95—51no—
1569#95—51no—
1570#95—51no—
1571#95—51no—
1572#95—51no—
1573#95—51no—
1574#95—51no—
1575#95—51no—
1576#95—51no—
1577#95—51no—
1578#95—51no—
1579#95—51no—
1580#95—51no—
1581#95—51no—
1582#95—51no—
1583#95—51no—
1584#95—51no—
1585#95—51no—
1586#95—51no—
1587C22×C5—21no—
1588C22×C5—21no—
1589C22×C5—21no—
1590C22×C5—21no—
1591C22×C5—21no—
1592C22×C5—21no—
1593C22×C5—21no—
1594C22×C5—21no—
1595C22×C5—21no—
1596C22×C5—21no—
1597C22×C5—21no—
1598C22×C5—21no—
1599C22×C5—21no—
1600C22×C5—21no—
1601C22×C5—21no—
1602C22×C5—21no—
1603C22×C5—44no—
1604C22×C5—82no—
1605C22×C5C4×#4112yes—
1606C22×C5#51812yes—
1607C22×C5C24×C411yescharacteristic
1608C2×D5—21no—
1609C2×D5—21no—
1610C2×D5—21no—
1611C2×D5—21no—
1612C2×D5—22no—
1613C2×D5—22no—
1614C2×D5—22no—
1615C2×D5—22no—
1616C2×D5—22no—
1617C2×D5—22no—
1618C2×D5—22no—
1619C2×D5—22no—
1620C2×D5—21no—
1621C2×D5—21no—
1622C2×D5—21no—
1623C2×D5—21no—
1624C2×D5—21no—
1625C2×D5—21no—
1626C2×D5—21no—
1627C2×D5—21no—
1628C2×D5—21no—
1629C2×D5—21no—
1630C2×D5—21no—
1631C2×D5—21no—
1632C2×D5—44no—
1633C2×D5—44no—
1634C2×D5—44no—
1635C2×D5—41no—
1636C2×D5—41no—
1637C2×D5—41no—
1638C2×D5—41no—
1639C2×D5—41no—
1640C2×D5—41no—
1641C2×D5—41no—
1642C2×D5—41no—
1643C2×D5—41no—
1644C2×D5—41no—
1645C2×D5—41no—
1646C2×D5—41no—
1647C2×D5—41no—
1648C2×D5—41no—
1649C2×D5—41no—
1650C2×D5—41no—
1651C2×D5—82no—
1652C2×D5—82no—
1653C2×D5—82no—
1654C2×D5C4×#4112yes—
1655C2×D5#51812yes—
1656C2×D5C22×#4111yescharacteristic
1657C2×D5C22×#4111yescharacteristic
1658C2×D5C2×H(5,𝔽2)11yescharacteristic
1659C2×D5C2×H(5,𝔽2)11yescharacteristic
1660C2×D5C2×H(5,𝔽2)11yescharacteristic
1661C2×D5#58511yescharacteristic
1662AGL(1,𝔽5)—22no—
1663AGL(1,𝔽5)—22no—
1664AGL(1,𝔽5)—22no—
1665AGL(1,𝔽5)—22no—
1666AGL(1,𝔽5)—22no—
1667AGL(1,𝔽5)—41no—
1668AGL(1,𝔽5)—41no—
1669AGL(1,𝔽5)—41no—
1670AGL(1,𝔽5)—41no—
1671AGL(1,𝔽5)—41no—
1672AGL(1,𝔽5)—41no—
1673AGL(1,𝔽5)—41no—
1674AGL(1,𝔽5)—41no—
1675AGL(1,𝔽5)—41no—
1676AGL(1,𝔽5)—41no—
1677AGL(1,𝔽5)—41no—
1678C4×C5—21no—
1679C4×C5—21no—
1680C4×C5—21no—
1681C4×C5—21no—
1682C4×C5—21no—
1683C4×C5—21no—
1684C4×C5—21no—
1685C4×C5—21no—
1686C4×C5—21no—
1687Dic5—21no—
1688Dic5—21no—
1689Dic5—21no—
1690Dic5—21no—
1691Dic5—21no—
1692Dic5—21no—
1693Dic5—21no—
1694Dic5—21no—
1695Dic5—21no—
1696C24—51no—
1697C24—51no—
1698C24—51no—
1699C24—51no—
1700C24—51no—
1701C24—51no—
1702C24—51no—
1703C24—51no—
1704C24—51no—
1705C24—51no—
1706C24—51no—
1707C24—51no—
1708C24—102no—
1709C24—102no—
1710C24—102no—
1711C24—102no—
1712C24—102no—
1713C24—102no—
1714C24—201no—
1715C24—201no—
1716C24—201no—
1717C24—201no—
1718C24—201no—
1719C24—201no—
1720C24C22×AGL(1,𝔽5)11yescharacteristic
1721C24C22×AGL(1,𝔽5)11yescharacteristic
1722#41—42no—
1723#41—202no—
1724#41—202no—
1725#41—202no—
1726#41—202no—
1727#41—202no—
1728#41—202no—
1729#41—202no—
1730C2×Q8—51no—
1731C2×Q8—51no—
1732C2×Q8—51no—
1733C2×Q8—201no—
1734C2×Q8—201no—
1735C2×Q8C22×AGL(1,𝔽5)11yescharacteristic, complemented
1736C2×D4—42no—
1737C2×D4—51no—
1738C2×D4—51no—
1739C2×D4—51no—
1740C2×D4—51no—
1741C2×D4—51no—
1742C2×D4—51no—
1743C2×D4—51no—
1744C2×D4—51no—
1745C2×D4—51no—
1746C2×D4—51no—
1747C2×D4—51no—
1748C2×D4—51no—
1749C2×D4—51no—
1750C2×D4—51no—
1751C2×D4—51no—
1752C2×D4—51no—
1753C2×D4—51no—
1754C2×D4—51no—
1755C2×D4—51no—
1756C2×D4—51no—
1757C2×D4—51no—
1758C2×D4—51no—
1759C2×D4—51no—
1760C2×D4—51no—
1761C2×D4—51no—
1762C2×D4—51no—
1763C2×D4—51no—
1764C2×D4—102no—
1765C2×D4—102no—
1766C2×D4—102no—
1767C2×D4—102no—
1768C2×D4—102no—
1769C2×D4—102no—
1770C2×D4—102no—
1771C2×D4—102no—
1772C2×D4—202no—
1773C2×D4—201no—
1774C2×D4—201no—
1775C2×D4—201no—
1776C2×D4—201no—
1777C2×D4—201no—
1778C2×D4—201no—
1779C2×D4—201no—
1780C2×D4—201no—
1781C2×D4—201no—
1782C2×D4—201no—
1783C2×D4—202no—
1784C2×D4—202no—
1785C2×D4—202no—
1786C2×D4—202no—
1787C2×D4—202no—
1788C2×D4—202no—
1789C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1790C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1791C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1792C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1793C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1794C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1795C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1796C2×D4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1797C2×D4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1798C22×C4—51no—
1799C22×C4—51no—
1800C22×C4—51no—
1801C22×C4—51no—
1802C22×C4—51no—
1803C22×C4—51no—
1804C22×C4—54no—
1805C22×C4—51no—
1806C22×C4—51no—
1807C22×C4—51no—
1808C22×C4—51no—
1809C22×C4—51no—
1810C22×C4—51no—
1811C22×C4—51no—
1812C22×C4—51no—
1813C22×C4—51no—
1814C22×C4—51no—
1815C22×C4—51no—
1816C22×C4—51no—
1817C22×C4—51no—
1818C22×C4—51no—
1819C22×C4—51no—
1820C22×C4—51no—
1821C22×C4—51no—
1822C22×C4—51no—
1823C22×C4—51no—
1824C22×C4—51no—
1825C22×C4—51no—
1826C22×C4—51no—
1827C22×C4—51no—
1828C22×C4—51no—
1829C22×C4—51no—
1830C22×C4—51no—
1831C22×C4—51no—
1832C22×C4—51no—
1833C22×C4—51no—
1834C22×C4—51no—
1835C22×C4—51no—
1836C22×C4—51no—
1837C22×C4—51no—
1838C22×C4—51no—
1839C22×C4—51no—
1840C22×C4—51no—
1841C22×C4—51no—
1842C22×C4—102no—
1843C22×C4—102no—
1844C22×C4—102no—
1845C22×C4—102no—
1846C22×C4—102no—
1847C22×C4—102no—
1848C22×C4—102no—
1849C22×C4—102no—
1850C22×C4—102no—
1851C22×C4—102no—
1852C22×C4—102no—
1853C22×C4—102no—
1854C22×C4—102no—
1855C22×C4—102no—
1856C22×C4—102no—
1857C22×C4—102no—
1858C22×C4—102no—
1859C22×C4—102no—
1860C22×C4—102no—
1861C22×C4—102no—
1862C22×C4—102no—
1863C22×C4—102no—
1864C22×C4—201no—
1865C22×C4—201no—
1866C22×C4—201no—
1867C22×C4—201no—
1868C22×C4—201no—
1869C22×C4—201no—
1870C22×C4—201no—
1871C22×C4—201no—
1872C22×C4—201no—
1873C22×C4—201no—
1874C22×C4—201no—
1875C22×C4—201no—
1876C22×C4—201no—
1877C22×C4—201no—
1878C22×C4—201no—
1879C22×C4—201no—
1880C22×C4—201no—
1881C22×C4—201no—
1882C22×C4—201no—
1883C22×C4—201no—
1884C22×C4—201no—
1885C22×C4—201no—
1886C22×C4—201no—
1887C22×C4—201no—
1888C22×C4—201no—
1889C22×C4—201no—
1890C22×C4—201no—
1891C22×C4—201no—
1892C22×C4—201no—
1893C22×C4—201no—
1894C22×C4—201no—
1895C22×C4—2016no—
1896C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1897C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1898C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1899C22×C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1900C22×C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1901C22×C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1902C4⋊C4—51no—
1903C4⋊C4—51no—
1904C4⋊C4—51no—
1905C4⋊C4—51no—
1906C4⋊C4—51no—
1907C4⋊C4—51no—
1908C4⋊C4—51no—
1909C4⋊C4—51no—
1910C4⋊C4—51no—
1911C4⋊C4—51no—
1912C4⋊C4—51no—
1913C4⋊C4—51no—
1914C4⋊C4—102no—
1915C4⋊C4—102no—
1916C4⋊C4—102no—
1917C4⋊C4—201no—
1918C4⋊C4—201no—
1919C4⋊C4—201no—
1920C4⋊C4—201no—
1921C4⋊C4—201no—
1922C4⋊C4—201no—
1923C4⋊C4—201no—
1924C4⋊C4—201no—
1925C4⋊C4—201no—
1926C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1927C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1928C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1929C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
1930C22⋊C4—54no—
1931C22⋊C4—51no—
1932C22⋊C4—51no—
1933C22⋊C4—51no—
1934C22⋊C4—51no—
1935C22⋊C4—51no—
1936C22⋊C4—51no—
1937C22⋊C4—51no—
1938C22⋊C4—51no—
1939C22⋊C4—51no—
1940C22⋊C4—51no—
1941C22⋊C4—51no—
1942C22⋊C4—51no—
1943C22⋊C4—51no—
1944C22⋊C4—51no—
1945C22⋊C4—51no—
1946C22⋊C4—51no—
1947C22⋊C4—51no—
1948C22⋊C4—51no—
1949C22⋊C4—51no—
1950C22⋊C4—51no—
1951C22⋊C4—51no—
1952C22⋊C4—51no—
1953C22⋊C4—51no—
1954C22⋊C4—51no—
1955C22⋊C4—51no—
1956C22⋊C4—51no—
1957C22⋊C4—51no—
1958C22⋊C4—51no—
1959C22⋊C4—51no—
1960C22⋊C4—51no—
1961C22⋊C4—51no—
1962C22⋊C4—51no—
1963C22⋊C4—51no—
1964C22⋊C4—51no—
1965C22⋊C4—51no—
1966C22⋊C4—51no—
1967C22⋊C4—102no—
1968C22⋊C4—102no—
1969C22⋊C4—102no—
1970C22⋊C4—102no—
1971C22⋊C4—102no—
1972C22⋊C4—102no—
1973C22⋊C4—102no—
1974C22⋊C4—102no—
1975C22⋊C4—102no—
1976C22⋊C4—102no—
1977C22⋊C4—102no—
1978C22⋊C4—102no—
1979C22⋊C4—102no—
1980C22⋊C4—102no—
1981C22⋊C4—102no—
1982C22⋊C4—102no—
1983C22⋊C4—102no—
1984C22⋊C4—102no—
1985C22⋊C4—102no—
1986C22⋊C4—102no—
1987C22⋊C4—201no—
1988C22⋊C4—201no—
1989C22⋊C4—201no—
1990C22⋊C4—201no—
1991C22⋊C4—201no—
1992C22⋊C4—201no—
1993C22⋊C4—201no—
1994C22⋊C4—201no—
1995C22⋊C4—201no—
1996C22⋊C4—201no—
1997C22⋊C4—201no—
1998C22⋊C4—201no—
1999C22⋊C4—201no—
2000C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
2001C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
2002C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
2003C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
2004C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
2005C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
2006C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
2007C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
2008C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
2009C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
2010C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
2011C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic, complemented
2012C42—51no—
2013C42—51no—
2014C42—51no—
2015C42—102no—
2016C42—102no—
2017C42—102no—
2018C42—102no—
2019C42—201no—
2020C42—201no—
2021C42—201no—
2022C42—201no—
2023C42—201no—
2024C42—201no—
2025C42—201no—
2026C42—201no—
2027C42—201no—
2028C42—201no—
2029C42—201no—
2030C42—201no—
2031C42—201no—
2032C42—201no—
2033C42—201no—
2034C42—201no—
2035C42C22×AGL(1,𝔽5)11yescharacteristic, complemented
2036C2×C5—22no—
2037C2×C5—22no—
2038C2×C5—41no—
2039C2×C5—41no—
2040C2×C5—41no—
2041C2×C5—41no—
2042C2×C5C2×C4×#4111yescharacteristic
2043C2×C5C2×#51811yescharacteristic
2044C2×C5C4×H(5,𝔽2)11yescharacteristic
2045D5—22no—
2046D5—22no—
2047D5—41no—
2048D5—41no—
2049D5—41no—
2050D5—41no—
2051D5#349011yescharacteristic
2052D5#349411yescharacteristic
2053D5#351311yescharacteristic
2054D5#351911yescharacteristic
2055C23—22no—
2056C23—22no—
2057C23—22no—
2058C23—41no—
2059C23—41no—
2060C23—41no—
2061C23—51no—
2062C23—52no—
2063C23—52no—
2064C23—52no—
2065C23—52no—
2066C23—51no—
2067C23—51no—
2068C23—51no—
2069C23—51no—
2070C23—51no—
2071C23—51no—
2072C23—101no—
2073C23—101no—
2074C23—101no—
2075C23—101no—
2076C23—101no—
2077C23—101no—
2078C23—101no—
2079C23—101no—
2080C23—101no—
2081C23—101no—
2082C23—101no—
2083C23—101no—
2084C23—101no—
2085C23—101no—
2086C23—101no—
2087C23—101no—
2088C23—101no—
2089C23—101no—
2090C23—101no—
2091C23—101no—
2092C23—101no—
2093C23—101no—
2094C23—101no—
2095C23—101no—
2096C23—101no—
2097C23—101no—
2098C23—101no—
2099C23—101no—
2100C23—101no—
2101C23—101no—
2102C23—101no—
2103C23—101no—
2104C23—102no—
2105C23—102no—
2106C23—102no—
2107C23—102no—
2108C23—102no—
2109C23—102no—
2110C23—102no—
2111C23—102no—
2112C23—102no—
2113C23—201no—
2114C23—201no—
2115C23—201no—
2116C23—201no—
2117C23—201no—
2118C23—201no—
2119C23—201no—
2120C23—201no—
2121C23—201no—
2122C23—204no—
2123C23—204no—
2124C23—204no—
2125C23—204no—
2126C23—402no—
2127C23—402no—
2128C23—402no—
2129C23—402no—
2130C23C23×AGL(1,𝔽5)11yescharacteristic
2131C23C23×AGL(1,𝔽5)11yescharacteristic
2132C23C23×AGL(1,𝔽5)11yescharacteristic
2133C23C23×AGL(1,𝔽5)11yescharacteristic
2134C23C23×AGL(1,𝔽5)11yescharacteristic
2135C23C23×AGL(1,𝔽5)11yescharacteristic
2136Q8—41no—
2137Q8—201no—
2138Q8—201no—
2139Q8—201no—
2140D4—22no—
2141D4—22no—
2142D4—22no—
2143D4—22no—
2144D4—41no—
2145D4—41no—
2146D4—41no—
2147D4—41no—
2148D4—41no—
2149D4—102no—
2150D4—102no—
2151D4—102no—
2152D4—102no—
2153D4—102no—
2154D4—102no—
2155D4—102no—
2156D4—102no—
2157D4—102no—
2158D4—102no—
2159D4—102no—
2160D4—102no—
2161D4—201no—
2162D4—201no—
2163D4—201no—
2164D4—201no—
2165D4—201no—
2166D4—201no—
2167D4—201no—
2168D4—201no—
2169D4—201no—
2170D4—201no—
2171D4—201no—
2172D4—201no—
2173D4—201no—
2174D4—201no—
2175D4—201no—
2176C2×C4—22no—
2177C2×C4—41no—
2178C2×C4—41no—
2179C2×C4—41no—
2180C2×C4—41no—
2181C2×C4—41no—
2182C2×C4—52no—
2183C2×C4—52no—
2184C2×C4—52no—
2185C2×C4—52no—
2186C2×C4—52no—
2187C2×C4—51no—
2188C2×C4—51no—
2189C2×C4—51no—
2190C2×C4—51no—
2191C2×C4—51no—
2192C2×C4—51no—
2193C2×C4—51no—
2194C2×C4—51no—
2195C2×C4—51no—
2196C2×C4—101no—
2197C2×C4—101no—
2198C2×C4—101no—
2199C2×C4—101no—
2200C2×C4—101no—
2201C2×C4—101no—
2202C2×C4—101no—
2203C2×C4—101no—
2204C2×C4—101no—
2205C2×C4—101no—
2206C2×C4—101no—
2207C2×C4—101no—
2208C2×C4—101no—
2209C2×C4—101no—
2210C2×C4—101no—
2211C2×C4—101no—
2212C2×C4—102no—
2213C2×C4—102no—
2214C2×C4—101no—
2215C2×C4—101no—
2216C2×C4—101no—
2217C2×C4—101no—
2218C2×C4—101no—
2219C2×C4—101no—
2220C2×C4—101no—
2221C2×C4—101no—
2222C2×C4—101no—
2223C2×C4—101no—
2224C2×C4—101no—
2225C2×C4—101no—
2226C2×C4—108no—
2227C2×C4—102no—
2228C2×C4—101no—
2229C2×C4—101no—
2230C2×C4—101no—
2231C2×C4—101no—
2232C2×C4—101no—
2233C2×C4—101no—
2234C2×C4—101no—
2235C2×C4—101no—
2236C2×C4—101no—
2237C2×C4—101no—
2238C2×C4—101no—
2239C2×C4—101no—
2240C2×C4—101no—
2241C2×C4—101no—
2242C2×C4—101no—
2243C2×C4—101no—
2244C2×C4—101no—
2245C2×C4—101no—
2246C2×C4—101no—
2247C2×C4—101no—
2248C2×C4—101no—
2249C2×C4—101no—
2250C2×C4—101no—
2251C2×C4—101no—
2252C2×C4—101no—
2253C2×C4—101no—
2254C2×C4—101no—
2255C2×C4—101no—
2256C2×C4—101no—
2257C2×C4—101no—
2258C2×C4—101no—
2259C2×C4—101no—
2260C2×C4—101no—
2261C2×C4—201no—
2262C2×C4—201no—
2263C2×C4—201no—
2264C2×C4—201no—
2265C2×C4—201no—
2266C2×C4—201no—
2267C2×C4—201no—
2268C2×C4—201no—
2269C2×C4—201no—
2270C2×C4—201no—
2271C2×C4—201no—
2272C2×C4—201no—
2273C2×C4—201no—
2274C2×C4—201no—
2275C2×C4—201no—
2276C2×C4—204no—
2277C2×C4—204no—
2278C2×C4—204no—
2279C2×C4—204no—
2280C2×C4—204no—
2281C2×C4—204no—
2282C2×C4—204no—
2283C2×C4—402no—
2284C2×C4—402no—
2285C2×C4—402no—
2286C2×C4—402no—
2287C2×C4—402no—
2288C2×C4—402no—
2289C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2290C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2291C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2292C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2293C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2294C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2295C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2296C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2297C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2298C5#3430211yescharacteristic, complemented, Sylow
2299C22—21no—
2300C22—21no—
2301C22—21no—
2302C22—21no—
2303C22—21no—
2304C22—21no—
2305C22—21no—
2306C22—21no—
2307C22—21no—
2308C22—21no—
2309C22—21no—
2310C22—21no—
2311C22—21no—
2312C22—21no—
2313C22—21no—
2314C22—21no—
2315C22—44no—
2316C22—51no—
2317C22—51no—
2318C22—51no—
2319C22—51no—
2320C22—51no—
2321C22—51no—
2322C22—52no—
2323C22—52no—
2324C22—82no—
2325C22—102no—
2326C22—102no—
2327C22—102no—
2328C22—102no—
2329C22—102no—
2330C22—102no—
2331C22—102no—
2332C22—102no—
2333C22—101no—
2334C22—101no—
2335C22—101no—
2336C22—101no—
2337C22—101no—
2338C22—101no—
2339C22—101no—
2340C22—101no—
2341C22—101no—
2342C22—101no—
2343C22—101no—
2344C22—101no—
2345C22—101no—
2346C22—101no—
2347C22—101no—
2348C22—101no—
2349C22—204no—
2350C22—204no—
2351C22—201no—
2352C22—201no—
2353C22—201no—
2354C22—201no—
2355C22—201no—
2356C22—201no—
2357C22—201no—
2358C22—201no—
2359C22—201no—
2360C22—201no—
2361C22—201no—
2362C22—201no—
2363C22—201no—
2364C22—201no—
2365C22—201no—
2366C22—201no—
2367C22—204no—
2368C22—402no—
2369C22—402no—
2370C22—402no—
2371C22#6625812yes—
2372C22#41×AGL(1,𝔽5)12yes—
2373C22C24×AGL(1,𝔽5)11yescharacteristic
2374C4—21no—
2375C4—21no—
2376C4—21no—
2377C4—21no—
2378C4—21no—
2379C4—21no—
2380C4—21no—
2381C4—21no—
2382C4—21no—
2383C4—102no—
2384C4—102no—
2385C4—102no—
2386C4—102no—
2387C4—102no—
2388C4—101no—
2389C4—101no—
2390C4—101no—
2391C4—101no—
2392C4—101no—
2393C4—101no—
2394C4—101no—
2395C4—101no—
2396C4—101no—
2397C4—201no—
2398C4—201no—
2399C4—201no—
2400C4—201no—
2401C4—201no—
2402C4—201no—
2403C4—201no—
2404C4—201no—
2405C4—201no—
2406C4—201no—
2407C4—201no—
2408C2—22no—
2409C2—22no—
2410C2—41no—
2411C2—41no—
2412C2—41no—
2413C2—41no—
2414C2—51no—
2415C2—51no—
2416C2—51no—
2417C2—51no—
2418C2—102no—
2419C2—102no—
2420C2—201no—
2421C2—201no—
2422C2—201no—
2423C2—201no—
2424C2C2×#6625811yescharacteristic
2425C2C2×#41×AGL(1,𝔽5)11yescharacteristic
2426C2AGL(1,𝔽5)×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C24×AGL(1,𝔽5)
commutator, socleC22×C5C24×C4
FittingC5×#546C4
prime radicalD5×#546C2
cosocleC22×D5C25
hypercenter#546AGL(1,𝔽5)
hypocenterC5#34302
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #546

Complements

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

NH ≅ G/Ntype
2. #10617557C2semidirect
3. #10617555C2semidirect
4. D4×C22⋊AGL(1,𝔽5)C2semidirect
5. C2×#65779C2semidirect
6. #10617327C2semidirect
7. #10617325C2semidirect
8. #10617307C2semidirect
9. #10617306C2semidirect
10. #10617305C2semidirect
11. AGL(1,𝔽5)×#123C2semidirect
12. #10617287C2semidirect
13. #10617283C2semidirect
14. #10617255C2semidirect
15. #10617255C2semidirect
16. #10617254C2semidirect
17. #10617252C2semidirect
18. #10617252C2semidirect
19. AGL(1,𝔽5)×#121C2semidirect
20. #10617223C2semidirect
21. #10617223C2semidirect
22. #10617222C2semidirect
23. AGL(1,𝔽5)×#120C2semidirect
24. #10617180C2semidirect
25. #10617180C2semidirect
26. #10617173C2semidirect
27. #10617172C2semidirect
28. #10617072C2semidirect
29. #10617072C2semidirect
30. #10617067C2semidirect
31. C2×C22⋊C4×AGL(1,𝔽5)C2semidirect
44. C2×D4×AGL(1,𝔽5)C22semidirect
45. C2×D4×AGL(1,𝔽5)C22semidirect
46. C2×D4×AGL(1,𝔽5)C22semidirect
47. C2×D4×AGL(1,𝔽5)C22semidirect
48. C2×#4130C22semidirect
49. C2×#4130C22semidirect
50. C22×C4×AGL(1,𝔽5)C22semidirect
51. C22×C4×AGL(1,𝔽5)C22semidirect
52. C5×#546C4semidirect
53. #66163C4semidirect
54. #66140C4semidirect
55. #66010C4semidirect
57. #65988C4semidirect
58. #65988C4semidirect
61. #65964C4semidirect
63. #65946C4semidirect
64. #65944C4semidirect
65. #65944C4semidirect
69. #65925C4semidirect
70. #65925C4semidirect
73. #65888C4semidirect
74. #65884C4semidirect
77. #65824C4semidirect
78. #65824C4semidirect
83. (C2×AGL(1,𝔽5))⋊Q8C22semidirect
84. (C2×AGL(1,𝔽5))⋊Q8C22semidirect
85. (C2×AGL(1,𝔽5))⋊Q8C22semidirect
86. (C2×AGL(1,𝔽5))⋊Q8C22semidirect
89. #65780C22semidirect
90. #65780C22semidirect
91. #65780C22semidirect
92. #65780C22semidirect
107. #65779C22semidirect
108. #65779C22semidirect
109. #65779C22semidirect
110. #65779C22semidirect
111. #65779C22semidirect
112. #65779C22semidirect
113. #65779C22semidirect
114. #65779C22semidirect
116. #65765C22semidirect
117. #65765C22semidirect
118. #65764C22semidirect
119. #65764C22semidirect
120. #65764C22semidirect
122. C4×C22⋊AGL(1,𝔽5)C22semidirect
123. C4×C22⋊AGL(1,𝔽5)C22semidirect
124. C4×C22⋊AGL(1,𝔽5)C22semidirect
125. C4×C22⋊AGL(1,𝔽5)C22semidirect
126. C4×C22⋊AGL(1,𝔽5)C22semidirect
127. C4×C22⋊AGL(1,𝔽5)C22semidirect
128. C4×C22⋊AGL(1,𝔽5)C22semidirect
129. C4×C22⋊AGL(1,𝔽5)C22semidirect
132. C2×(C2×AGL(1,𝔽5))⋊C4C22semidirect
133. C2×(C2×AGL(1,𝔽5))⋊C4C22semidirect
134. C2×(C2×AGL(1,𝔽5))⋊C4C22semidirect
135. #65712C22semidirect
136. #65712C22semidirect
137. #65711C22semidirect
138. #65711C22semidirect
139. #65711C22semidirect
140. #65711C22semidirect
141. #65711C22semidirect
142. #65711C22semidirect
143. #65711C22semidirect
144. #65711C22semidirect
145. #65711C22semidirect
146. #65711C22semidirect
147. C4⋊C4×AGL(1,𝔽5)C22semidirect
148. C4⋊C4×AGL(1,𝔽5)C22semidirect
149. C4⋊C4×AGL(1,𝔽5)C22semidirect
150. C4⋊C4×AGL(1,𝔽5)C22semidirect
151. #65700C22semidirect
152. #65700C22semidirect
153. #65700C22semidirect
154. #65700C22semidirect
155. #65700C22semidirect
156. #65700C22semidirect
157. #65700C22semidirect
158. #65700C22semidirect
159. #65700C22semidirect
160. #65700C22semidirect
161. #65700C22semidirect
162. #65700C22semidirect
163. #65700C22semidirect
164. #65700C22semidirect
165. #65700C22semidirect
166. #65700C22semidirect
167. #65700C22semidirect
168. #65700C22semidirect
173. #65699C22semidirect
174. #65699C22semidirect
175. #65699C22semidirect
176. #65699C22semidirect
185. C22⋊C4×AGL(1,𝔽5)C22semidirect
186. C22⋊C4×AGL(1,𝔽5)C22semidirect
187. C22⋊C4×AGL(1,𝔽5)C22semidirect
188. C22⋊C4×AGL(1,𝔽5)C22semidirect
189. C22⋊C4×AGL(1,𝔽5)C22semidirect
190. C22⋊C4×AGL(1,𝔽5)C22semidirect
191. C22⋊C4×AGL(1,𝔽5)C22semidirect
192. C22⋊C4×AGL(1,𝔽5)C22semidirect
193. C22⋊C4×AGL(1,𝔽5)C22semidirect
194. C22⋊C4×AGL(1,𝔽5)C22semidirect
195. C22⋊C4×AGL(1,𝔽5)C22semidirect
196. C22⋊C4×AGL(1,𝔽5)C22semidirect
197. C22⋊C4×AGL(1,𝔽5)C22semidirect
198. C22⋊C4×AGL(1,𝔽5)C22semidirect
199. #65690C22semidirect
200. C4×C4⋊AGL(1,𝔽5)C22semidirect
201. #65686C22semidirect
202. #65686C22semidirect
223. C2×C5×#41C2×C4semidirect
224. C22×C5×D4C2×C4semidirect
225. C22×C22⋊D5C2×C4semidirect
226. C22×C22⋊D5C2×C4semidirect
229. C2×#713C2×C4semidirect
231. C2×#711C2×C4semidirect
232. C2×#711C2×C4semidirect
233. C2×#711C2×C4semidirect
236. C2×D4×D5C2×C4semidirect
237. C2×D4×D5C2×C4semidirect
238. C2×D4×D5C2×C4semidirect
239. C2×D4×D5C2×C4semidirect
249. C2×#709C2×C4semidirect
250. C2×#709C2×C4semidirect
251. C2×#709C2×C4semidirect
252. C22×D20C2×C4semidirect
342. C5×#124C2×C4semidirect
343. C5×#123C2×C4semidirect
344. C5×#123C2×C4semidirect
345. C5×C22⋊Q8C2×C4semidirect
346. C5×#121C2×C4semidirect
347. C5×#121C2×C4semidirect
348. C5×#121C2×C4semidirect
349. C5×#120C2×C4semidirect
350. C5×#120C2×C4semidirect
351. C4×C5×D4C2×C4semidirect
352. C4×C5×D4C2×C4semidirect
353. C2×C5×C22⋊C4C2×C4semidirect
354. C2×C5×C22⋊C4C2×C4semidirect
355. #4099C2×C4semidirect
356. #4099C2×C4semidirect
357. C2×C22⋊Dic5C2×C4semidirect
358. C2×C22⋊Dic5C2×C4semidirect
359. #4093C2×C4semidirect
360. #4092C2×C4semidirect
361. #4085C2×C4semidirect
362. #4085C2×C4semidirect
363. #4085C2×C4semidirect
364. #4085C2×C4semidirect
365. #4085C2×C4semidirect
366. #4085C2×C4semidirect
367. #4084C2×C4semidirect
368. #4084C2×C4semidirect
369. #4084C2×C4semidirect
370. #4083C2×C4semidirect
371. #4083C2×C4semidirect
372. #4083C2×C4semidirect
373. #4083C2×C4semidirect
374. #4083C2×C4semidirect
375. #4083C2×C4semidirect
376. #4082C2×C4semidirect
377. #4081C2×C4semidirect
378. #4081C2×C4semidirect
379. D4×Dic5C2×C4semidirect
380. D4×Dic5C2×C4semidirect
381. #4076C2×C4semidirect
382. #4076C2×C4semidirect
383. #4076C2×C4semidirect
384. #4075C2×C4semidirect
385. #4075C2×C4semidirect
386. C4×C22⋊D5C2×C4semidirect
387. C4×C22⋊D5C2×C4semidirect
388. C4×C22⋊D5C2×C4semidirect
389. C4×C22⋊D5C2×C4semidirect
390. C2×#685C2×C4semidirect
391. C2×#685C2×C4semidirect
392. C2×#685C2×C4semidirect
393. C2×#685C2×C4semidirect
394. #4070C2×C4semidirect
395. #4043C2×C4semidirect
396. #4042C2×C4semidirect
397. #4042C2×C4semidirect
398. #4041C2×C4semidirect
399. #4041C2×C4semidirect
400. #4041C2×C4semidirect
401. #4040C2×C4semidirect
402. #4040C2×C4semidirect
403. #4040C2×C4semidirect
404. #4040C2×C4semidirect
405. #4039C2×C4semidirect
406. #4039C2×C4semidirect
411. #4032C2×C4semidirect
412. #4032C2×C4semidirect
413. #4031C2×C4semidirect
414. #4031C2×C4semidirect
415. #4031C2×C4semidirect
416. #4031C2×C4semidirect
417. #4030C2×C4semidirect
418. #4030C2×C4semidirect
419. #4030C2×C4semidirect
420. #4030C2×C4semidirect
421. #4030C2×C4semidirect
422. #4030C2×C4semidirect
423. #4029C2×C4semidirect
424. #4029C2×C4semidirect
425. #4029C2×C4semidirect
426. #4029C2×C4semidirect
427. #4028C2×C4semidirect
428. #4028C2×C4semidirect
429. #4028C2×C4semidirect
430. #4028C2×C4semidirect
431. #4028C2×C4semidirect
432. #4028C2×C4semidirect
433. #4027C2×C4semidirect
434. #4027C2×C4semidirect
435. #4027C2×C4semidirect
436. #4027C2×C4semidirect
437. D5×C22⋊C4C2×C4semidirect
438. D5×C22⋊C4C2×C4semidirect
439. D5×C22⋊C4C2×C4semidirect
440. D5×C22⋊C4C2×C4semidirect
441. D5×C22⋊C4C2×C4semidirect
442. D5×C22⋊C4C2×C4semidirect
443. D5×C22⋊C4C2×C4semidirect
444. D5×C22⋊C4C2×C4semidirect
457. #4024C2×C4semidirect
458. #4024C2×C4semidirect
459. #4021C2×C4semidirect
460. C4×D20C2×C4semidirect
461. C4×D20C2×C4semidirect
602. C22×AGL(1,𝔽5)#41semidirect
620. C2×C5×Q8C22×C4semidirect
629. C2×C5×D4C22×C4semidirect
630. C2×C5×D4C22×C4semidirect
634. C22×C4×C5C22×C4semidirect
635. C22×C4×C5C22×C4semidirect
636. C22×C4×C5C22×C4semidirect
653. C2×C22⋊D5C22×C4semidirect
654. C2×C22⋊D5C22×C4semidirect
655. C2×C22⋊D5C22×C4semidirect
656. C2×C22⋊D5C22×C4semidirect
660. C22×Dic5C22×C4semidirect
661. C22×Dic5C22×C4semidirect
662. C22×Dic5C22×C4semidirect
702. C2×D20C22×C4semidirect
703. C2×D20C22×C4semidirect
722. C2×C4×D5C22×C4semidirect
723. C2×C4×D5C22×C4semidirect
724. C2×C4×D5C22×C4semidirect
725. C2×C4×D5C22×C4semidirect
726. C2×C4×D5C22×C4semidirect
727. C2×C4×D5C22×C4semidirect
737. C2×Dic10C22×C4semidirect
738. C2×Dic10C22×C4semidirect
739. C2×Dic10C22×C4semidirect
773. C22⋊AGL(1,𝔽5)#41semidirect
806. C5×C4⋊C4C22×C4semidirect
807. C5×C4⋊C4C22×C4semidirect
808. C5×C4⋊C4C22×C4semidirect
809. C5×C4⋊C4C22×C4semidirect
817. C5×C22⋊C4C22×C4semidirect
818. C5×C22⋊C4C22×C4semidirect
819. C5×C22⋊C4C22×C4semidirect
820. C5×C22⋊C4C22×C4semidirect
821. C5×C22⋊C4C22×C4semidirect
822. C42×C5C22×C4semidirect
830. C22⋊Dic5C22×C4semidirect
831. C22⋊Dic5C22×C4semidirect
832. C22⋊Dic5C22×C4semidirect
833. C22⋊Dic5C22×C4semidirect
834. C22⋊Dic5C22×C4semidirect
849. #685C22×C4semidirect
850. #685C22×C4semidirect
851. #685C22×C4semidirect
852. #685C22×C4semidirect
853. #685C22×C4semidirect
854. #685C22×C4semidirect
855. #685C22×C4semidirect
856. #685C22×C4semidirect
857. #685C22×C4semidirect
858. #685C22×C4semidirect
859. C4⋊Dic5C22×C4semidirect
860. C4⋊Dic5C22×C4semidirect
861. C4⋊Dic5C22×C4semidirect
862. C4⋊Dic5C22×C4semidirect
863. #683C22×C4semidirect
864. #683C22×C4semidirect
865. #683C22×C4semidirect
866. #683C22×C4semidirect
867. #683C22×C4semidirect
868. #683C22×C4semidirect
869. #683C22×C4semidirect
870. #683C22×C4semidirect
871. C4×Dic5C22×C4semidirect
872. C4×Dic5C22×C4semidirect
873. C4×Dic5C22×C4semidirect
892. #546AGL(1,𝔽5)semidirect
1299. C2×#41C2×AGL(1,𝔽5)semidirect
1319. C22×D4C2×AGL(1,𝔽5)semidirect
1350. #124C2×AGL(1,𝔽5)semidirect
1365. #123C2×AGL(1,𝔽5)semidirect
1366. #123C2×AGL(1,𝔽5)semidirect
1374. C22⋊Q8C2×AGL(1,𝔽5)semidirect
1396. #121C2×AGL(1,𝔽5)semidirect
1397. #121C2×AGL(1,𝔽5)semidirect
1398. #121C2×AGL(1,𝔽5)semidirect
1413. #120C2×AGL(1,𝔽5)semidirect
1414. #120C2×AGL(1,𝔽5)semidirect
1437. C4×D4C2×AGL(1,𝔽5)semidirect
1438. C4×D4C2×AGL(1,𝔽5)semidirect
1522. C2×C22⋊C4C2×AGL(1,𝔽5)semidirect
1523. C2×C22⋊C4C2×AGL(1,𝔽5)semidirect
1735. C2×Q8C22×AGL(1,𝔽5)semidirect
1796. C2×D4C22×AGL(1,𝔽5)semidirect
1797. C2×D4C22×AGL(1,𝔽5)semidirect
1899. C22×C4C22×AGL(1,𝔽5)semidirect
1900. C22×C4C22×AGL(1,𝔽5)semidirect
1901. C22×C4C22×AGL(1,𝔽5)semidirect
1926. C4⋊C4C22×AGL(1,𝔽5)semidirect
1927. C4⋊C4C22×AGL(1,𝔽5)semidirect
1928. C4⋊C4C22×AGL(1,𝔽5)semidirect
1929. C4⋊C4C22×AGL(1,𝔽5)semidirect
2007. C22⋊C4C22×AGL(1,𝔽5)semidirect
2008. C22⋊C4C22×AGL(1,𝔽5)semidirect
2009. C22⋊C4C22×AGL(1,𝔽5)semidirect
2010. C22⋊C4C22×AGL(1,𝔽5)semidirect
2011. C22⋊C4C22×AGL(1,𝔽5)semidirect
2035. C42C22×AGL(1,𝔽5)semidirect
2298. C5#34302semidirect

Maximal subgroups

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

subgroupindex
D5×#5462
#106175572
#106175552
D4×C22⋊AGL(1,𝔽5)2
C2×#657792
#106173272
#106173252
#106173072
#106173062
#106173052
AGL(1,𝔽5)×#1232
#106172872
#106172832
#106172552
#106172542
#106172522
AGL(1,𝔽5)×#1212
#106172232
#106172222
AGL(1,𝔽5)×#1202
#106171802
#106171732
#106171722
#106170722
#106170672
C2×C22⋊C4×AGL(1,𝔽5)2
#343025