Finite Group Databasebeta

← C2×#10604285 #13033167

Subgroups — C2×#10604285 #13033167

Order 1280.

2574 conjugacy classes of subgroups.

The subgroup lattice has 622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#4130C211yesmaximal, characteristic
2C22×D5⋊M16C211yesmaximal, characteristic
3C22×D5×C4⋊C4C211yesmaximal, characteristic
4#10604285C218yesmaximal, direct product factor
5C2×#64874C214yesmaximal, complemented
6C23×C4×D5—21no—
7C23×C4×D5C2211yescharacteristic
8C22×C22⋊AGL(1,𝔽5)—21no—
9C22×#704—21no—
10C2×#4130—24no—
11C2×#4130—22no—
12C2×#4130C418yescomplemented
13C2×#4130C2214yes—
14C22×C4⋊AGL(1,𝔽5)C2212yes—
15C22×C4×AGL(1,𝔽5)—21no—
16C2×D5⋊M16—24no—
17C2×D5⋊M16—22no—
18C2×D5⋊M16C418yescomplemented
19C2×D5⋊M16C2214yes—
20C22×#700—21no—
21C22×D5⋊C8C2212yes—
22C22×C5×C4⋊C4C411yescharacteristic, complemented
23C22×C4⋊Dic5C411yescharacteristic, complemented
24C22×#683—21no—
25C2×D5×C4⋊C4—21no—
26C2×D5×C4⋊C4—22no—
27C2×D5×C4⋊C4—21no—
28C2×D5×C4⋊C4—22no—
29C2×D5×C4⋊C4C412yescomplemented
30C2×D5×C4⋊C4C414yescomplemented
31C2×D5×C4⋊C4C2212yes—
32C2×D5×C4⋊C4C2214yes—
33#64874C22116yescomplemented
34C2×#1736—51nomaximal, Sylow
35C24×D5D411yescharacteristic
36C23×AGL(1,𝔽5)—22no—
37C23×C4×C5—21no—
38C23×C4×C5C2×C411yescharacteristic
39C23×Dic5—21no—
40C23×Dic5D411yescharacteristic
41C22×C4×D5—24no—
42C22×C4×D5—22no—
43C22×C4×D5—22no—
44C22×C4×D5—24no—
45C22×C4×D5—48no—
46C22×C4×D5C2×C412yes—
47C22×C4×D5C2×C411yescharacteristic
48C22×C4×D5C2×C414yes—
49C22×C4×D5C2×C414yes—
50C22×C4×D5D411yescharacteristic
51C22×C4×D5D412yes—
52C22×C4×D5D411yescharacteristic
53C22×C4×D5D412yes—
54C22×C4×D5D414yes—
55C22×C4×D5Q814yes—
56C22×C4×D5C2311yescharacteristic
57C22×C4×D5C2312yes—
58C2×C22⋊AGL(1,𝔽5)—28no—
59C2×C22⋊AGL(1,𝔽5)—24no—
60C2×#704—28no—
61C2×#704—24no—
62C22×#170—22no—
63#4130—216no—
64#4130—28no—
65#4130C2×C4116yescomplemented
66C2×C4⋊AGL(1,𝔽5)—22no—
67C2×C4⋊AGL(1,𝔽5)—24no—
68C2×C4⋊AGL(1,𝔽5)C2×C418yescomplemented
69C2×C4⋊AGL(1,𝔽5)C2314yes—
70C2×C4×AGL(1,𝔽5)—28no—
71C2×C4×AGL(1,𝔽5)—24no—
72D5⋊M16—216no—
73D5⋊M16—28no—
74D5⋊M16C2×C4116yescomplemented
75C2×#700—28no—
76C2×#700—24no—
77C2×D5⋊C8—22no—
78C2×D5⋊C8—24no—
79C2×D5⋊C8C2×C418yescomplemented
80C2×D5⋊C8C2314yes—
81C2×C5×C4⋊C4—22no—
82C2×C5×C4⋊C4—21no—
83C2×C5×C4⋊C4C2×C412yes—
84C2×C5×C4⋊C4C2×C414yescomplemented
85C2×C4⋊Dic5—22no—
86C2×C4⋊Dic5—21no—
87C2×C4⋊Dic5C2×C412yes—
88C2×C4⋊Dic5C2×C414yescomplemented
89C2×#683—24no—
90C2×#683—22no—
91C2×#683—22no—
92C2×#683—24no—
93D5×C4⋊C4—24no—
94D5×C4⋊C4—24no—
95D5×C4⋊C4—24no—
96D5×C4⋊C4—22no—
97D5×C4⋊C4—24no—
98D5×C4⋊C4—22no—
99D5×C4⋊C4—24no—
100D5×C4⋊C4C2×C414yes—
101D5×C4⋊C4C2×C418yescomplemented
102D5×C4⋊C4C2314yes—
103C23×M16—51no—
104C22×#117—51no—
105C23×C4⋊C4—51no—
106#1736—58no—
107C2×#340—54no—
108C24×C5C22⋊C411yescharacteristic
109C23×D5—24no—
110C23×D5—24no—
111C23×D5C22⋊C412yes—
112C23×D5C22⋊C411yescharacteristic
113C23×D5C22⋊C414yes—
114C23×D5C4⋊C414yes—
115C23×D5C2×D412yes—
116C23×D5C2×D411yescharacteristic
117C22×AGL(1,𝔽5)—28no—
118C22×AGL(1,𝔽5)—24no—
119C22×AGL(1,𝔽5)—44no—
120C22×AGL(1,𝔽5)—44no—
121C22×C4×C5—22no—
122C22×C4×C5—24no—
123C22×C4×C5—44no—
124C22×C4×C5C4214yes—
125C22×C4×C5C22⋊C412yes—
126C22×C4×C5C22⋊C411yescharacteristic
127C22×C4×C5C4⋊C414yes—
128C22×C4×C5C22×C411yescharacteristic
129C22×C4×C5C22×C412yes—
130C22×Dic5—22no—
131C22×Dic5—24no—
132C22×Dic5—44no—
133C22×Dic5C22⋊C412yes—
134C22×Dic5C22⋊C411yescharacteristic
135C22×Dic5C22⋊C414yes—
136C22×Dic5C4⋊C414yes—
137C22×Dic5C2×D411yescharacteristic
138C22×Dic5C2×D412yes—
139C2×C4×D5—24no—
140C2×C4×D5—28no—
141C2×C4×D5—24no—
142C2×C4×D5—48no—
143C2×C4×D5—416no—
144C2×C4×D5—416no—
145C2×C4×D5—48no—
146C2×C4×D5C4218yes—
147C2×C4×D5C4214yes—
148C2×C4×D5C22⋊C412yes—
149C2×C4×D5C22⋊C412yes—
150C2×C4×D5C22⋊C412yes—
151C2×C4×D5C22⋊C414yes—
152C2×C4×D5C22⋊C418yes—
153C2×C4×D5C22⋊C414yes—
154C2×C4×D5C22⋊C418yes—
155C2×C4×D5C4⋊C418yes—
156C2×C4×D5C4⋊C414yes—
157C2×C4×D5C4⋊C418yes—
158C2×C4×D5C4⋊C414yes—
159C2×C4×D5C4⋊C414yes—
160C2×C4×D5C4⋊C418yes—
161C2×C4×D5C22×C411yescharacteristic
162C2×C4×D5C22×C412yes—
163C2×C4×D5C22×C412yes—
164C2×C4×D5C22×C414yes—
165C2×C4×D5C22×C412yes—
166C2×C4×D5C22×C414yes—
167C2×C4×D5C2×D412yes—
168C2×C4×D5C2×D411yescharacteristic
169C2×C4×D5C2×D411yescharacteristic
170C2×C4×D5C2×D412yes—
171C2×C4×D5C2×D412yes—
172C2×C4×D5C2×D414yes—
173C2×C4×D5C2×Q814yes—
174C2×C4×D5C2×Q812yes—
175C2×C4×D5C2411yescharacteristic
176C22⋊AGL(1,𝔽5)—216no—
177#704—216no—
178C2×#170—28no—
179C2×#170—24no—
180C4⋊AGL(1,𝔽5)—28no—
181C4⋊AGL(1,𝔽5)—24no—
182C4⋊AGL(1,𝔽5)C22×C418yescomplemented
183C4×AGL(1,𝔽5)—216no—
184#700—216no—
185D5⋊C8—28no—
186D5⋊C8—24no—
187D5⋊C8C22×C418yescomplemented
188C5×C4⋊C4—22no—
189C5×C4⋊C4—24no—
190C5×C4⋊C4C22×C414yes—
191C4⋊Dic5—22no—
192C4⋊Dic5—24no—
193C4⋊Dic5C22×C414yes—
194#683—24no—
195#683—28no—
196#683—24no—
197C24×C4—51no—
198C24×C4—101no—
199C22×M16—54no—
200C22×M16—58no—
201C22×M16—101no—
202C22×M16—104no—
203C22×M16—102no—
204C22×M16—101no—
205C23×C8—52no—
206C2×#117—54no—
207C2×#117—58no—
208C2×#117—104no—
209C2×#117—102no—
210C22×C4⋊C4—52no—
211C22×C4⋊C4—51no—
212C22×C4⋊C4—52no—
213C22×C4⋊C4—52no—
214C22×C4⋊C4—54no—
215C22×C4⋊C4—54no—
216C22×C4⋊C4—102no—
217C22×C4⋊C4—102no—
218C22×C4⋊C4—101no—
219C22×C4⋊C4—101no—
220C22×C4⋊C4—101no—
221C22×C4⋊C4AGL(1,𝔽5)11yescharacteristic, complemented
222C22×C22⋊C4—101no—
223C22×C42—101no—
224#340—516no—
225C23×C5—22no—
226C23×C5—22no—
227C23×C5#9514yes—
228C23×C5C2×C22⋊C412yes—
229C23×C5C2×C22⋊C411yescharacteristic
230C22×D5—22no—
231C22×D5—22no—
232C22×D5—24no—
233C22×D5—24no—
234C22×D5—216no—
235C22×D5—24no—
236C22×D5—24no—
237C22×D5—216no—
238C22×D5#9514yes—
239C22×D5#9518yes—
240C22×D5C2×C22⋊C414yes—
241C22×D5C2×C22⋊C412yes—
242C22×D5C2×C22⋊C412yes—
243C22×D5C2×C22⋊C411yescharacteristic
244C22×D5C2×C4⋊C414yes—
245C22×D5C2×C4⋊C412yes—
246C22×D5AGL(1,ℤ/8)14yes—
247C22×D5#13714yes—
248C22×D5C22×D411yescharacteristic
249C2×AGL(1,𝔽5)—28no—
250C2×AGL(1,𝔽5)—44no—
251C2×AGL(1,𝔽5)—44no—
252C2×AGL(1,𝔽5)—416no—
253C2×C4×C5—24no—
254C2×C4×C5—48no—
255C2×C4×C5—44no—
256C2×C4×C5#9518yes—
257C2×C4×C5#9514yes—
258C2×C4×C5C2×C4214yes—
259C2×C4×C5C2×C4212yes—
260C2×C4×C5C2×C22⋊C411yescharacteristic
261C2×C4×C5C2×C22⋊C412yes—
262C2×C4×C5C2×C4⋊C414yes—
263C2×C4×C5C2×C4⋊C412yes—
264C2×C4×C5C23×C411yescharacteristic
265C2×Dic5—24no—
266C2×Dic5—48no—
267C2×Dic5—44no—
268C2×Dic5#9518yes—
269C2×Dic5#9514yes—
270C2×Dic5C2×C22⋊C412yes—
271C2×Dic5C2×C22⋊C414yes—
272C2×Dic5C2×C22⋊C411yescharacteristic
273C2×Dic5C2×C22⋊C412yes—
274C2×Dic5C2×C4⋊C414yes—
275C2×Dic5C2×C4⋊C412yes—
276C2×Dic5C22×D411yescharacteristic
277C4×D5—416no—
278C4×D5—48no—
279C4×D5—48no—
280C4×D5#9518yes—
281C4×D5#9518yes—
282C4×D5#9518yes—
283C4×D5C2×C4214yes—
284C4×D5C2×C4212yes—
285C4×D5C2×C22⋊C412yes—
286C4×D5C2×C22⋊C414yes—
287C4×D5C2×C22⋊C414yes—
288C4×D5C2×C22⋊C412yes—
289C4×D5C2×C4⋊C414yes—
290C4×D5C2×C4⋊C412yes—
291C4×D5C2×C4⋊C414yes—
292C4×D5C2×C4⋊C412yes—
293C4×D5C2×C4⋊C412yes—
294C4×D5C2×C4⋊C414yes—
295C4×D5C23×C411yescharacteristic
296C4×D5C23×C411yescharacteristic
297C4×D5C22×D411yescharacteristic
298C4×D5C22×Q811yescharacteristic
299#170—28no—
300C25—51no—
301C23×C4—21no—
302C23×C4—51no—
303C23×C4—54no—
304C23×C4—54no—
305C23×C4—54no—
306C23×C4—54no—
307C23×C4—52no—
308C23×C4—52no—
309C23×C4—51no—
310C23×C4—51no—
311C23×C4—51no—
312C23×C4—52no—
313C23×C4—52no—
314C23×C4—51no—
315C23×C4—104no—
316C23×C4—104no—
317C23×C4—102no—
318C23×C4—102no—
319C23×C4—102no—
320C23×C4—101no—
321C23×C4—208no—
322C23×C4C2×AGL(1,𝔽5)11yescharacteristic
323C2×M16—516no—
324C2×M16—104no—
325C2×M16—108no—
326C2×M16—108no—
327C2×M16—1016no—
328C2×M16—104no—
329C2×M16—108no—
330C22×C8—58no—
331C22×C8—54no—
332C22×C8—104no—
333C22×C8—102no—
334C22×C8—102no—
335#117—516no—
336#117—108no—
337#117—1016no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—58no—
341C2×C4⋊C4—54no—
342C2×C4⋊C4—52no—
343C2×C4⋊C4—54no—
344C2×C4⋊C4—54no—
345C2×C4⋊C4—54no—
346C2×C4⋊C4—58no—
347C2×C4⋊C4—102no—
348C2×C4⋊C4—102no—
349C2×C4⋊C4—104no—
350C2×C4⋊C4—104no—
351C2×C4⋊C4—104no—
352C2×C4⋊C4—104no—
353C2×C4⋊C4—104no—
354C2×C4⋊C4—104no—
355C2×C4⋊C4—104no—
356C2×C4⋊C4—102no—
357C2×C4⋊C4—102no—
358C2×C4⋊C4—104no—
359C2×C4⋊C4—102no—
360C2×C4⋊C4—102no—
361C2×C4⋊C4—101no—
362C2×C4⋊C4C2×AGL(1,𝔽5)12yes—
363C2×C4⋊C4C2×AGL(1,𝔽5)14yescomplemented
364C2×C22⋊C4—104no—
365C2×C22⋊C4—108no—
366C2×C42—104no—
367C2×C42—108no—
368C22×C5—22no—
369C22×C5—22no—
370C22×C5—28no—
371C22×C5C2×#9514yes—
372C22×C5C2×#9512yes—
373C22×C5#41812yes—
374C22×C5#41912yes—
375C22×C5C22×C22⋊C411yescharacteristic
376C2×D5—22no—
377C2×D5—22no—
378C2×D5—28no—
379C2×D5—28no—
380C2×D5—28no—
381C2×D5—216no—
382C2×D5C2×#9514yes—
383C2×D5C2×#9512yes—
384C2×D5#41718yes—
385C2×D5#41812yes—
386C2×D5#41912yes—
387C2×D5#42818yes—
388C2×D5C22×C22⋊C411yescharacteristic
389C2×D5C22×C4⋊C411yescharacteristic
390C2×D5C2×AGL(1,ℤ/8)12yes—
391C2×D5C2×#13712yes—
392AGL(1,𝔽5)—48no—
393C4×C5—44no—
394C4×C5C2×#9512yes—
395C4×C5C2×#9514yes—
396C4×C5C22×C4211yescharacteristic
397C4×C5C22×C4⋊C411yescharacteristic
398Dic5—44no—
399Dic5C2×#9514yes—
400Dic5C2×#9512yes—
401Dic5C22×C22⋊C411yescharacteristic
402Dic5C22×C4⋊C411yescharacteristic
403C24—51no—
404C24—52no—
405C24—52no—
406C24—51no—
407C24—54no—
408C24—54no—
409C24—104no—
410C24—104no—
411C24C22⋊AGL(1,𝔽5)11yescharacteristic
412C22×C4—24no—
413C22×C4—22no—
414C22×C4—44no—
415C22×C4—52no—
416C22×C4—52no—
417C22×C4—51no—
418C22×C4—51no—
419C22×C4—54no—
420C22×C4—54no—
421C22×C4—52no—
422C22×C4—54no—
423C22×C4—52no—
424C22×C4—54no—
425C22×C4—58no—
426C22×C4—54no—
427C22×C4—52no—
428C22×C4—54no—
429C22×C4—58no—
430C22×C4—54no—
431C22×C4—52no—
432C22×C4—54no—
433C22×C4—52no—
434C22×C4—51no—
435C22×C4—51no—
436C22×C4—52no—
437C22×C4—52no—
438C22×C4—52no—
439C22×C4—52no—
440C22×C4—51no—
441C22×C4—51no—
442C22×C4—52no—
443C22×C4—54no—
444C22×C4—58no—
445C22×C4—54no—
446C22×C4—58no—
447C22×C4—54no—
448C22×C4—58no—
449C22×C4—58no—
450C22×C4—54no—
451C22×C4—104no—
452C22×C4—104no—
453C22×C4—108no—
454C22×C4—104no—
455C22×C4—108no—
456C22×C4—104no—
457C22×C4—102no—
458C22×C4—208no—
459C22×C4—2016no—
460C22×C4—2016no—
461C22×C4—208no—
462C22×C4—204no—
463C22×C4—204no—
464C22×C4—204no—
465C22×C4C4×AGL(1,𝔽5)14yes—
466C22×C4C4⋊AGL(1,𝔽5)14yes—
467C22×C4C22⋊AGL(1,𝔽5)12yes—
468C22×C4C22⋊AGL(1,𝔽5)11yescharacteristic
469C22×C4C22×AGL(1,𝔽5)12yes—
470C22×C4C22×AGL(1,𝔽5)11yescharacteristic
471M16—1016no—
472M16—1016no—
473C2×C8—58no—
474C2×C8—104no—
475C2×C8—108no—
476C2×C8—104no—
477C2×C8—108no—
478C4⋊C4—22no—
479C4⋊C4—24no—
480C4⋊C4—58no—
481C4⋊C4—54no—
482C4⋊C4—104no—
483C4⋊C4—104no—
484C4⋊C4—108no—
485C4⋊C4—104no—
486C4⋊C4—108no—
487C4⋊C4—102no—
488C4⋊C4—104no—
489C4⋊C4C22×AGL(1,𝔽5)14yes—
490C22⋊C4—1016no—
491C42—1016no—
492C2×C5—24no—
493C2×C5#173614yescomplemented
494C2×C5C22×#9511yescharacteristic
495C2×C5C2×#41811yescharacteristic
496C2×C5C2×#41911yescharacteristic
497D5—24no—
498D5#173614yescomplemented
499D5C2×#41712yes—
500D5C2×#42812yes—
501C23—22no—
502C23—22no—
503C23—51no—
504C23—51no—
505C23—52no—
506C23—52no—
507C23—54no—
508C23—54no—
509C23—52no—
510C23—54no—
511C23—58no—
512C23—54no—
513C23—54no—
514C23—104no—
515C23—104no—
516C23—104no—
517C23—104no—
518C23—1016no—
519C23—1016no—
520C23—102no—
521C23—102no—
522C23(C2×AGL(1,𝔽5))⋊C414yes—
523C23C2×C22⋊AGL(1,𝔽5)12yes—
524C23C2×C22⋊AGL(1,𝔽5)11yescharacteristic
525C2×C4—24no—
526C2×C4—48no—
527C2×C4—44no—
528C2×C4—51no—
529C2×C4—52no—
530C2×C4—51no—
531C2×C4—52no—
532C2×C4—54no—
533C2×C4—58no—
534C2×C4—54no—
535C2×C4—54no—
536C2×C4—52no—
537C2×C4—51no—
538C2×C4—51no—
539C2×C4—52no—
540C2×C4—54no—
541C2×C4—51no—
542C2×C4—52no—
543C2×C4—54no—
544C2×C4—51no—
545C2×C4—54no—
546C2×C4—52no—
547C2×C4—52no—
548C2×C4—54no—
549C2×C4—58no—
550C2×C4—58no—
551C2×C4—58no—
552C2×C4—52no—
553C2×C4—54no—
554C2×C4—52no—
555C2×C4—54no—
556C2×C4—108no—
557C2×C4—104no—
558C2×C4—208no—
559C2×C4—208no—
560C2×C4—2016no—
561C2×C4—208no—
562C2×C4—204no—
563C2×C4—204no—
564C2×C4—2016no—
565C2×C4—204no—
566C2×C4(C2×AGL(1,𝔽5))⋊C418yes—
567C2×C4(C2×AGL(1,𝔽5))⋊C414yes—
568C2×C4C2×C4×AGL(1,𝔽5)14yes—
569C2×C4C2×C4×AGL(1,𝔽5)12yes—
570C2×C4C2×C4⋊AGL(1,𝔽5)14yes—
571C2×C4C2×C4⋊AGL(1,𝔽5)12yes—
572C2×C4C2×C22⋊AGL(1,𝔽5)11yescharacteristic
573C2×C4C2×C22⋊AGL(1,𝔽5)12yes—
574C2×C4C23×AGL(1,𝔽5)11yescharacteristic
575C8—108no—
576C5C2×#173611yescharacteristic, complemented, Sylow
577C22—22no—
578C22—22no—
579C22—28no—
580C22—51no—
581C22—51no—
582C22—52no—
583C22—52no—
584C22—52no—
585C22—52no—
586C22—52no—
587C22—58no—
588C22—58no—
589C22—54no—
590C22—108no—
591C22—108no—
592C22—1016no—
593C22—102no—
594C22—102no—
595C22—108no—
596C22C2×(C2×AGL(1,𝔽5))⋊C414yes—
597C22C2×(C2×AGL(1,𝔽5))⋊C412yes—
598C22#6576712yes—
599C22#6578212yes—
600C22C22×C22⋊AGL(1,𝔽5)11yescharacteristic
601C4—44no—
602C4—51no—
603C4—51no—
604C4—52no—
605C4—54no—
606C4—208no—
607C4—204no—
608C4C2×(C2×AGL(1,𝔽5))⋊C414yes—
609C4C2×(C2×AGL(1,𝔽5))⋊C412yes—
610C4C22×C4×AGL(1,𝔽5)11yescharacteristic
611C4C22×C4⋊AGL(1,𝔽5)11yescharacteristic
612C2—24no—
613C2—52no—
614C2—52no—
615C2—54no—
616C2—104no—
617C2#1060428514yesdirect product factor
618C2C22×(C2×AGL(1,𝔽5))⋊C411yescharacteristic
619C2C2×#6576711yescharacteristic
620C2C2×#6578211yescharacteristic
subgroupG/H
centerC23C2×C22⋊AGL(1,𝔽5)
commutatorC4×C5C22×C42
FrattiniC2×C4C23×AGL(1,𝔽5)
FittingC22×C5×C4⋊C4C4
socleC23×C5C2×C22⋊C4
prime radicalC24×D5D4
cosocleC2×C4×D5C24
hypercenterC22×C4⋊C4AGL(1,𝔽5)
hypocenterC5C2×#1736
LCSG ▷ C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. #10604285C2direct (N × H)
5. C2×#64874C2semidirect
12. C2×#4130C4semidirect
18. C2×D5⋊M16C4semidirect
22. C22×C5×C4⋊C4C4semidirect
23. C22×C4⋊Dic5C4semidirect
29. C2×D5×C4⋊C4C4semidirect
30. C2×D5×C4⋊C4C4semidirect
33. #64874C22semidirect
65. #4130C2×C4semidirect
68. C2×C4⋊AGL(1,𝔽5)C2×C4semidirect
74. D5⋊M16C2×C4semidirect
79. C2×D5⋊C8C2×C4semidirect
84. C2×C5×C4⋊C4C2×C4semidirect
88. C2×C4⋊Dic5C2×C4semidirect
101. D5×C4⋊C4C2×C4semidirect
182. C4⋊AGL(1,𝔽5)C22×C4semidirect
187. D5⋊C8C22×C4semidirect
221. C22×C4⋊C4AGL(1,𝔽5)semidirect
363. C2×C4⋊C4C2×AGL(1,𝔽5)semidirect
493. C2×C5#1736semidirect
498. D5#1736semidirect
576. C5C2×#1736semidirect
617. C2#10604285direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#41302
C22×D5⋊M162
C22×D5×C4⋊C42
#106042852
C2×#648742
C2×#17365