Finite Group Databasebeta

← #13036039

Subgroups — #13036039

Order 1280.

1318 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65947C211yesmaximal, characteristic
2#10617070C211yesmaximal, characteristic, complemented
3#10617067C211yesmaximal, characteristic, complemented
4#10604944C212yesmaximal, complemented
5#10604943C212yesmaximal, complemented
6#10604943C212yesmaximal, complemented
7C4×#4011C212yesmaximal, complemented
8#10604311C212yesmaximal, complemented
9#10604216C212yesmaximal, complemented
10C22×C22⋊AGL(1,𝔽5)C2212yes—
11C2×C5×#121C411yescharacteristic, complemented
12C2×#4085C411yescharacteristic, complemented
13C2×#4084C2211yescharacteristic
14C2×#4083C2211yescharacteristic
15C2×#4083C2211yescharacteristic
16C2×#4082C411yescharacteristic, complemented
17C2×#4081C411yescharacteristic, complemented
18C2×#4075C411yescharacteristic, complemented
19C2×C4×C22⋊D5C2211yescharacteristic
20#65947—24no—
21#65947—24no—
22C2×#4044C411yescharacteristic, complemented
23C2×#4042C2211yescharacteristic
24C2×#4031C411yescharacteristic, complemented
25C2×#4027C2211yescharacteristic
26C2×D5×C22⋊C4C2211yescharacteristic
27C2×#4025C411yescharacteristic, complemented
28#65800C2212yes—
29C2×#4011C2214yes—
30C2×#4011C2214yes—
31#65765C2212yes—
32C4×C22⋊AGL(1,𝔽5)C2212yes—
33C4×C22⋊AGL(1,𝔽5)C2212yes—
34C4×C22⋊AGL(1,𝔽5)C2212yes—
35#65700—24no—
36C22⋊C4×AGL(1,𝔽5)—24no—
37#64917C2214yes—
38#64917C2214yes—
39#21422—51nomaximal, Sylow
40C24×D5C2311yescharacteristic
41C23×AGL(1,𝔽5)—22no—
42C22×C5×D4C2×C411yescharacteristic
43C22×C5×D4C2×C411yescharacteristic
44C22×C5×D4C2×C411yescharacteristic, complemented
45C23×C4×C5C2×C411yescharacteristic, complemented
46C22×C22⋊D5C2×C411yescharacteristic
47C22×C22⋊D5C2×C411yescharacteristic
48C22×C22⋊D5C2311yescharacteristic
49C22×C22⋊D5C2311yescharacteristic
50C23×Dic5C2×C411yescharacteristic, complemented
51C22×C4×D5C2311yescharacteristic
52C22×C4×D5C2311yescharacteristic
53C22×Dic10C2×C411yescharacteristic, complemented
54C2×C22⋊AGL(1,𝔽5)—22no—
55C2×C22⋊AGL(1,𝔽5)—28no—
56C2×C22⋊AGL(1,𝔽5)—22no—
57C2×C22⋊AGL(1,𝔽5)—22no—
58C2×C22⋊AGL(1,𝔽5)C2314yes—
59C2×C22⋊AGL(1,𝔽5)C2314yes—
60C2×C4⋊AGL(1,𝔽5)—22no—
61C2×C4×AGL(1,𝔽5)—22no—
62C2×C4×AGL(1,𝔽5)—22no—
63C2×C4×AGL(1,𝔽5)—22no—
64C5×#121—24no—
65C2×C5×C4⋊C4C2×C411yescharacteristic, complemented
66C2×C5×C22⋊C4C2×C411yescharacteristic
67C2×C5×C22⋊C4C2×C411yescharacteristic, complemented
68C2×C22⋊Dic5C2×C411yescharacteristic
69C2×C22⋊Dic5C2×C411yescharacteristic
70C2×C22⋊Dic5C2×C411yescharacteristic
71C2×C22⋊Dic5C2×C411yescharacteristic, complemented
72C2×C22⋊Dic5C2×C411yescharacteristic, complemented
73C2×C22⋊Dic5C2×C411yescharacteristic, complemented
74#4085—24no—
75#4084—22no—
76#4084—22no—
77#4083—22no—
78#4083—22no—
79#4083—22no—
80#4083—22no—
81#4082—24no—
82#4081—24no—
83#4075—24no—
84C4×C22⋊D5—22no—
85C4×C22⋊D5—22no—
86C2×#685C2×C411yescharacteristic
87C2×#685C2×C411yescharacteristic
88C2×#685C2×C411yescharacteristic
89C2×#685C2×C411yescharacteristic
90C2×#685C2311yescharacteristic
91C2×#685C2311yescharacteristic
92C2×C4⋊Dic5C2×C411yescharacteristic, complemented
93C2×#683C2×C411yescharacteristic, complemented
94C2×#683C2×C411yescharacteristic, complemented
95C2×#683C2×C411yescharacteristic, complemented
96C2×#683C2×C411yescharacteristic, complemented
97C2×C4×Dic5C2×C411yescharacteristic, complemented
98C2×C4×Dic5C2×C411yescharacteristic, complemented
99#4044—24no—
100#4042—22no—
101#4042—22no—
102#4031—24no—
103#4027—22no—
104#4027—22no—
105D5×C22⋊C4D414yes—
106D5×C22⋊C4D414yes—
107#4025—24no—
108#4011—28no—
109#4011—28no—
110(C2×AGL(1,𝔽5))⋊C4—22no—
111(C2×AGL(1,𝔽5))⋊C4—22no—
112(C2×AGL(1,𝔽5))⋊C4—22no—
113(C2×AGL(1,𝔽5))⋊C4—22no—
114C2×#538—51no—
115#2312—51no—
116#2273—51no—
117#1996—52no—
118#1964—52no—
119#1898—52no—
120#1898—52no—
121C4×#99—52no—
122C4×#99—52no—
123C24×C5C22×C411yescharacteristic
124C24×C5C22×C411yescharacteristic
125C24×C5C22×C411yescharacteristic
126C23×D5—24no—
127C23×D5—81no—
128C23×D5—81no—
129C23×D5C22×C411yescharacteristic
130C23×D5C2×D412yes—
131C23×D5C2×D412yes—
132C23×D5C2411yescharacteristic
133C22×AGL(1,𝔽5)—24no—
134C22×AGL(1,𝔽5)—28no—
135C22×AGL(1,𝔽5)—24no—
136C22×AGL(1,𝔽5)—82no—
137C22×AGL(1,𝔽5)—82no—
138C2×C5×D4—22no—
139C2×C5×D4—22no—
140C2×C5×D4—22no—
141C2×C5×D4—81no—
142C2×C5×D4—81no—
143C2×C5×D4—81no—
144C22×C4×C5—22no—
145C22×C4×C5—81no—
146C22×C4×C5C22×C411yescharacteristic
147C22×C4×C5C22×C411yescharacteristic
148C22×C4×C5C22×C411yescharacteristic
149C22×C4×C5C22×C411yescharacteristic
150C2×C22⋊D5—21no—
151C2×C22⋊D5—21no—
152C2×C22⋊D5—21no—
153C2×C22⋊D5—21no—
154C2×C22⋊D5—24no—
155C2×C22⋊D5—24no—
156C2×C22⋊D5—22no—
157C2×C22⋊D5—22no—
158C2×C22⋊D5—81no—
159C2×C22⋊D5—81no—
160C22×Dic5—22no—
161C22×Dic5—81no—
162C22×Dic5C22×C411yescharacteristic
163C22×Dic5C22×C411yescharacteristic
164C22×Dic5C22×C411yescharacteristic
165C22×Dic5C22×C411yescharacteristic
166C22×Dic5C22×C411yescharacteristic
167C22×Dic5C22×C411yescharacteristic
168C2×C4×D5—81no—
169C2×C4×D5—81no—
170C2×C4×D5C2×D412yes—
171C2×C4×D5C2×D412yes—
172C2×C4×D5C2×D412yes—
173C2×C4×D5C2×D412yes—
174C2×Dic10—22no—
175C2×Dic10—81no—
176C22⋊AGL(1,𝔽5)—28no—
177C22⋊AGL(1,𝔽5)—24no—
178C22⋊AGL(1,𝔽5)—24no—
179C22⋊AGL(1,𝔽5)—24no—
180C22⋊AGL(1,𝔽5)—82no—
181C22⋊AGL(1,𝔽5)—82no—
182C22⋊AGL(1,𝔽5)#4118yes—
183C4⋊AGL(1,𝔽5)—82no—
184C4×AGL(1,𝔽5)—82no—
185C4×AGL(1,𝔽5)—82no—
186C4×AGL(1,𝔽5)—82no—
187C5×C4⋊C4—22no—
188C5×C22⋊C4—22no—
189C5×C22⋊C4C22⋊C414yes—
190C22⋊Dic5—22no—
191C22⋊Dic5—22no—
192C22⋊Dic5—22no—
193C22⋊Dic5—22no—
194C22⋊Dic5—22no—
195C22⋊Dic5C22⋊C414yes—
196#685—22no—
197#685—22no—
198#685—21no—
199#685—21no—
200#685—21no—
201#685—21no—
202#685C22⋊C414yes—
203#685C22⋊C414yes—
204C4⋊Dic5—22no—
205#683—22no—
206#683—22no—
207#683—22no—
208#683—22no—
209C4×Dic5—22no—
210C4×Dic5—22no—
211#538—104no—
212#538—104no—
213C2×#126—51no—
214C2×#126—51no—
215C2×#124—51no—
216C2×#124—51no—
217C2×#123—51no—
218C2×#123—51no—
219C2×C22⋊Q8—51no—
220C2×#121—51no—
221C2×#121—51no—
222C2×#121AGL(1,𝔽5)11yescharacteristic, complemented
223C2×#120—51no—
224C2×#120—51no—
225C2×C4×D4—51no—
226C2×C4×D4—51no—
227C22×C22⋊C4—51no—
228C22×C22⋊C4—52no—
229C2×#99—54no—
230C2×#99—54no—
231#388—104no—
232#380—52no—
233#379—52no—
234C4×C22⋊C4—52no—
235C4×C22⋊C4—52no—
236C4×C22⋊C4—52no—
237C4×C22⋊C4—104no—
238#342—54no—
239#342—54no—
240C23×C5—22no—
241C23×C5—21no—
242C23×C5—21no—
243C23×C5—22no—
244C23×C5—22no—
245C23×C5—41no—
246C23×C5—41no—
247C23×C5—41no—
248C23×C5—41no—
249C23×C5—41no—
250C23×C5—41no—
251C23×C5C2×C22⋊C412yes—
252C23×C5C23×C411yescharacteristic
253C22×D5—22no—
254C22×D5—22no—
255C22×D5—22no—
256C22×D5—24no—
257C22×D5—41no—
258C22×D5—41no—
259C22×D5—42no—
260C22×D5—42no—
261C22×D5—42no—
262C22×D5—42no—
263C22×D5—41no—
264C22×D5—41no—
265C22×D5—88no—
266C22×D5C2×C22⋊C412yes—
267C22×D5C22×D411yescharacteristic
268C22×D5C22×D411yescharacteristic
269C22×D5C2×#4114yes—
270C2×AGL(1,𝔽5)—28no—
271C2×AGL(1,𝔽5)—44no—
272C2×AGL(1,𝔽5)—44no—
273C2×AGL(1,𝔽5)—44no—
274C2×AGL(1,𝔽5)—44no—
275C2×AGL(1,𝔽5)—44no—
276C2×AGL(1,𝔽5)—88no—
277C5×D4—82no—
278C5×D4—82no—
279C5×D4—82no—
280C2×C4×C5—21no—
281C2×C4×C5—21no—
282C2×C4×C5—41no—
283C2×C4×C5—41no—
284C2×C4×C5—41no—
285C2×C4×C5—41no—
286C2×C4×C5—82no—
287C2×C4×C5C2×C22⋊C412yes—
288C2×C4×C5C2×C22⋊C412yes—
289C22⋊D5—42no—
290C22⋊D5—42no—
291C22⋊D5—42no—
292C22⋊D5—42no—
293C22⋊D5—82no—
294C22⋊D5—82no—
295C2×Dic5—21no—
296C2×Dic5—21no—
297C2×Dic5—21no—
298C2×Dic5—21no—
299C2×Dic5—22no—
300C2×Dic5—22no—
301C2×Dic5—41no—
302C2×Dic5—41no—
303C2×Dic5—41no—
304C2×Dic5—41no—
305C2×Dic5—82no—
306C2×Dic5C2×C22⋊C412yes—
307C2×Dic5C2×C22⋊C412yes—
308C4×D5—42no—
309C4×D5—42no—
310C4×D5—42no—
311C4×D5—42no—
312Dic10—82no—
313C25—51no—
314C22×Q8—51no—
315C22×D4—51no—
316C22×D4—51no—
317C22×D4—51no—
318C22×D4—51no—
319C22×D4C2×AGL(1,𝔽5)11yescharacteristic
320C22×D4C2×AGL(1,𝔽5)11yescharacteristic
321C22×D4C2×AGL(1,𝔽5)11yescharacteristic, complemented
322C23×C4—51no—
323C23×C4—51no—
324C23×C4—51no—
325C23×C4—102no—
326C23×C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
327#126—104no—
328#126—104no—
329#124—104no—
330#124—104no—
331#123—104no—
332#123—104no—
333C22⋊Q8—102no—
334C22⋊Q8—102no—
335#121—24no—
336#121—104no—
337#121—102no—
338#121—102no—
339#120—102no—
340#120—102no—
341#120—102no—
342#120—102no—
343C4×D4—102no—
344C4×D4—102no—
345C4×D4—102no—
346C4×D4—102no—
347C2×C4⋊C4—51no—
348C2×C4⋊C4—51no—
349C2×C4⋊C4—51no—
350C2×C4⋊C4—51no—
351C2×C4⋊C4—51no—
352C2×C4⋊C4—102no—
353C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
354C2×C22⋊C4—51no—
355C2×C22⋊C4—51no—
356C2×C22⋊C4—51no—
357C2×C22⋊C4—54no—
358C2×C22⋊C4—54no—
359C2×C22⋊C4—54no—
360C2×C22⋊C4—51no—
361C2×C22⋊C4—51no—
362C2×C22⋊C4—51no—
363C2×C22⋊C4—51no—
364C2×C22⋊C4—51no—
365C2×C22⋊C4—51no—
366C2×C22⋊C4—51no—
367C2×C22⋊C4—51no—
368C2×C22⋊C4—51no—
369C2×C22⋊C4—54no—
370C2×C22⋊C4—108no—
371C2×C22⋊C4—102no—
372C2×C22⋊C4—102no—
373C2×C22⋊C4—102no—
374C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic
375C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
376C2×C42—51no—
377C2×C42—51no—
378C2×C42—102no—
379C2×C42—102no—
380C2×C42—102no—
381#99—108no—
382#99—108no—
383#95—102no—
384#95—102no—
385#95—102no—
386#95—102no—
387C22×C5—21no—
388C22×C5—21no—
389C22×C5—22no—
390C22×C5—22no—
391C22×C5—22no—
392C22×C5—41no—
393C22×C5—41no—
394C22×C5—41no—
395C22×C5—41no—
396C22×C5—41no—
397C22×C5—41no—
398C22×C5—82no—
399C22×C5—82no—
400C22×C5—82no—
401C22×C5C22×C22⋊C411yescharacteristic
402C22×C5C4×#4112yes—
403C2×D5—21no—
404C2×D5—21no—
405C2×D5—21no—
406C2×D5—21no—
407C2×D5—22no—
408C2×D5—22no—
409C2×D5—22no—
410C2×D5—44no—
411C2×D5—44no—
412C2×D5—44no—
413C2×D5—84no—
414C2×D5—82no—
415C2×D5#52512yes—
416C2×D5#53212yes—
417AGL(1,𝔽5)—48no—
418AGL(1,𝔽5)—84no—
419C4×C5—22no—
420C4×C5—22no—
421C4×C5—41no—
422C4×C5—41no—
423Dic5—22no—
424Dic5—22no—
425Dic5—41no—
426Dic5—41no—
427Dic5—41no—
428Dic5—41no—
429C24—51no—
430C24—52no—
431C24—52no—
432C24—51no—
433C24—104no—
434C24—401no—
435C24—401no—
436C24C22×AGL(1,𝔽5)11yescharacteristic
437C24C22×AGL(1,𝔽5)11yescharacteristic
438C24C22×AGL(1,𝔽5)11yescharacteristic
439C2×Q8—102no—
440C2×Q8—401no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—81no—
445C2×D4—81no—
446C2×D4—81no—
447C2×D4—104no—
448C2×D4—104no—
449C2×D4—101no—
450C2×D4—101no—
451C2×D4—101no—
452C2×D4—101no—
453C2×D4—102no—
454C2×D4—102no—
455C2×D4—401no—
456C2×D4—401no—
457C22×C4—22no—
458C22×C4—51no—
459C22×C4—51no—
460C22×C4—52no—
461C22×C4—52no—
462C22×C4—52no—
463C22×C4—52no—
464C22×C4—51no—
465C22×C4—51no—
466C22×C4—51no—
467C22×C4—51no—
468C22×C4—81no—
469C22×C4—102no—
470C22×C4—104no—
471C22×C4—108no—
472C22×C4—104no—
473C22×C4—401no—
474C22×C4—401no—
475C22×C4—402no—
476C22×C4—402no—
477C22×C4—401no—
478C22×C4C22×AGL(1,𝔽5)11yescharacteristic
479C22×C4C22×AGL(1,𝔽5)11yescharacteristic
480C22×C4C22×AGL(1,𝔽5)11yescharacteristic
481C22×C4C22×AGL(1,𝔽5)11yescharacteristic
482C4⋊C4—22no—
483C4⋊C4—102no—
484C4⋊C4—102no—
485C4⋊C4—102no—
486C4⋊C4—102no—
487C4⋊C4—102no—
488C4⋊C4—402no—
489C22⋊C4—22no—
490C22⋊C4—54no—
491C22⋊C4—54no—
492C22⋊C4—54no—
493C22⋊C4—58no—
494C22⋊C4—101no—
495C22⋊C4—101no—
496C22⋊C4—101no—
497C22⋊C4—101no—
498C22⋊C4—102no—
499C22⋊C4—102no—
500C22⋊C4—102no—
501C22⋊C4—102no—
502C22⋊C4—102no—
503C22⋊C4—104no—
504C22⋊C4—108no—
505C22⋊C4—102no—
506C22⋊C4—102no—
507C22⋊C4—104no—
508C22⋊C4—104no—
509C22⋊C4—402no—
510C22⋊C4—402no—
511C22⋊C4C22⋊AGL(1,𝔽5)14yes—
512C42—102no—
513C42—102no—
514C42—402no—
515C42—402no—
516C42—402no—
517C2×C5—22no—
518C2×C5—42no—
519C2×C5—81no—
520C2×C5—81no—
521C2×C5#229711yescharacteristic
522C2×C5#288311yescharacteristic
523C2×C5#288311yescharacteristic
524D5—22no—
525D5—22no—
526D5—42no—
527C23—22no—
528C23—21no—
529C23—21no—
530C23—22no—
531C23—22no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—51no—
539C23—51no—
540C23—54no—
541C23—52no—
542C23—102no—
543C23—102no—
544C23—104no—
545C23—102no—
546C23—201no—
547C23—201no—
548C23—202no—
549C23—202no—
550C23—202no—
551C23—202no—
552C23—201no—
553C23—201no—
554C23—408no—
555C23C2×C22⋊AGL(1,𝔽5)12yes—
556C23C23×AGL(1,𝔽5)11yescharacteristic
557Q8—402no—
558D4—82no—
559D4—82no—
560D4—82no—
561D4—202no—
562D4—202no—
563D4—202no—
564D4—202no—
565D4—402no—
566D4—402no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—52no—
574C2×C4—52no—
575C2×C4—82no—
576C2×C4—108no—
577C2×C4—102no—
578C2×C4—102no—
579C2×C4—101no—
580C2×C4—101no—
581C2×C4—101no—
582C2×C4—101no—
583C2×C4—202no—
584C2×C4—202no—
585C2×C4—202no—
586C2×C4—202no—
587C2×C4—201no—
588C2×C4—201no—
589C2×C4—204no—
590C2×C4—204no—
591C2×C4—201no—
592C2×C4—201no—
593C2×C4—204no—
594C2×C4—204no—
595C2×C4—204no—
596C2×C4—402no—
597C2×C4—408no—
598C2×C4C2×C22⋊AGL(1,𝔽5)12yes—
599C2×C4C2×C22⋊AGL(1,𝔽5)12yes—
600C5#2142211yescharacteristic, complemented, Sylow
601C22—21no—
602C22—21no—
603C22—22no—
604C22—22no—
605C22—22no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—52no—
613C22—52no—
614C22—82no—
615C22—82no—
616C22—82no—
617C22—101no—
618C22—101no—
619C22—101no—
620C22—101no—
621C22—102no—
622C22—102no—
623C22—102no—
624C22—204no—
625C22—204no—
626C22—204no—
627C22—402no—
628C22—404no—
629C22#41×AGL(1,𝔽5)12yes—
630C22C22×C22⋊AGL(1,𝔽5)11yescharacteristic
631C4—22no—
632C4—22no—
633C4—41no—
634C4—41no—
635C4—102no—
636C4—102no—
637C4—208no—
638C4—201no—
639C4—201no—
640C4—201no—
641C4—201no—
642C4—404no—
643C2—22no—
644C2—42no—
645C2—81no—
646C2—81no—
647C2—102no—
648C2—102no—
649C2—202no—
650C2#1061748711yescharacteristic
651C2#1061748711yescharacteristic
652C2#1061755511yescharacteristic
subgroupG/H
centerC22C22×C22⋊AGL(1,𝔽5)
commutatorC23×C5C23×C4
FrattiniC23C23×AGL(1,𝔽5)
FittingC2×C5×#121C4
socleC22×C5C22×C22⋊C4
prime radicalC2×#65947C2
cosocleC23×D5C24
hypercenterC2×#121AGL(1,𝔽5)
hypocenterC5#21422
LCSG ▷ C23×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ C2×C22⋊C4 ◁ C2×#121

Complements

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

NH ≅ G/Ntype
2. #10617070C2semidirect
3. #10617067C2semidirect
4. #10604944C2semidirect
5. #10604943C2semidirect
6. #10604943C2semidirect
7. C4×#4011C2semidirect
8. #10604311C2semidirect
9. #10604216C2semidirect
11. C2×C5×#121C4semidirect
12. C2×#4085C4semidirect
16. C2×#4082C4semidirect
17. C2×#4081C4semidirect
18. C2×#4075C4semidirect
22. C2×#4044C4semidirect
24. C2×#4031C4semidirect
27. C2×#4025C4semidirect
44. C22×C5×D4C2×C4semidirect
45. C23×C4×C5C2×C4semidirect
50. C23×Dic5C2×C4semidirect
53. C22×Dic10C2×C4semidirect
65. C2×C5×C4⋊C4C2×C4semidirect
67. C2×C5×C22⋊C4C2×C4semidirect
71. C2×C22⋊Dic5C2×C4semidirect
72. C2×C22⋊Dic5C2×C4semidirect
73. C2×C22⋊Dic5C2×C4semidirect
92. C2×C4⋊Dic5C2×C4semidirect
93. C2×#683C2×C4semidirect
94. C2×#683C2×C4semidirect
95. C2×#683C2×C4semidirect
96. C2×#683C2×C4semidirect
97. C2×C4×Dic5C2×C4semidirect
98. C2×C4×Dic5C2×C4semidirect
222. C2×#121AGL(1,𝔽5)semidirect
321. C22×D4C2×AGL(1,𝔽5)semidirect
326. C23×C4C2×AGL(1,𝔽5)semidirect
353. C2×C4⋊C4C2×AGL(1,𝔽5)semidirect
375. C2×C22⋊C4C2×AGL(1,𝔽5)semidirect
600. C5#21422semidirect

Maximal subgroups

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

subgroupindex
C2×#659472
#106170702
#106170672
#106049442
#106049432
C4×#40112
#106043112
#106042162
#214225