Finite Group Databasebeta

← #13033348

Subgroups — #13033348

Order 1280.

1834 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65879C211yesmaximal, characteristic
2C2×D5⋊#99C212yesmaximal
3#10617067C212yesmaximal, complemented
4C4×#4011C212yesmaximal, complemented
5C2×#64917C212yesmaximal, complemented
6#10604305C212yesmaximal, complemented
7#10604216C212yesmaximal, complemented
8C4×#3999C212yesmaximal, complemented
9C22×D4×D5C2211yescharacteristic
10C22×C22⋊AGL(1,𝔽5)C2214yes—
11C2×C4×C5×D4C411yescharacteristic, complemented
12C2×D4×Dic5C411yescharacteristic, complemented
13C2×C4×C22⋊D5C411yescharacteristic, complemented
14C2×C4×C22⋊D5C2211yescharacteristic
15C22×#685C411yescharacteristic, complemented
16C22×#685C2211yescharacteristic
17#65879—28no—
18C2×#4039C2211yescharacteristic
19C2×#4038C411yescharacteristic, complemented
20C2×#4027C411yescharacteristic, complemented
21C2×#4027C2211yescharacteristic
22C2×D5×C22⋊C4C411yescharacteristic, complemented
23C2×D5×C22⋊C4C2211yescharacteristic
24C2×C4×D20C2211yescharacteristic
25C2×#4018C411yescharacteristic, complemented
26C2×#4011C2214yes—
27D5⋊#99C4116yescomplemented
28C4×C22⋊AGL(1,𝔽5)C2214yescomplemented
29C4×C22⋊AGL(1,𝔽5)C2214yescomplemented
30C2×#3999C2214yes—
31C22⋊C4×AGL(1,𝔽5)—28no—
32#64917C2214yescomplemented
33#64917C2214yescomplemented
34#20392—51nomaximal, Sylow
35C24×D5C2×C411yescharacteristic
36C24×D5C2311yescharacteristic
37C23×AGL(1,𝔽5)—24no—
38C22×C5×D4C2×C411yescharacteristic
39C23×C4×C5C2×C411yescharacteristic
40C23×C4×C5C2×C411yescharacteristic, complemented
41C22×C22⋊D5C2×C411yescharacteristic
42C22×C22⋊D5C2311yescharacteristic
43C23×Dic5C2×C411yescharacteristic
44C23×Dic5C2×C411yescharacteristic, complemented
45C2×D4×D5—24no—
46C2×D4×D5—24no—
47C2×D4×D5C2×C418yes—
48C22×D20C2311yescharacteristic
49C22×C4×D5C2×C411yescharacteristic
50C22×C4×D5C2×C411yescharacteristic, complemented
51C22×C4×D5C2×C411yescharacteristic, complemented
52C22×C4×D5C2311yescharacteristic
53C22×C4×D5C2311yescharacteristic
54C2×C22⋊AGL(1,𝔽5)—24no—
55C2×C22⋊AGL(1,𝔽5)—28no—
56C2×C22⋊AGL(1,𝔽5)C2×C4116yescomplemented
57C2×C22⋊AGL(1,𝔽5)C2318yes—
58C2×C4×AGL(1,𝔽5)—24no—
59C2×C4×AGL(1,𝔽5)—24no—
60C4×C5×D4—24no—
61C2×C5×C4⋊C4C2×C411yescharacteristic, complemented
62C2×C5×C22⋊C4C2×C411yescharacteristic
63C2×C5×C22⋊C4C2×C411yescharacteristic, complemented
64C2×C42×C5C2×C411yescharacteristic, complemented
65C2×C22⋊Dic5C2×C411yescharacteristic
66C2×C22⋊Dic5C2×C411yescharacteristic, complemented
67D4×Dic5—24no—
68C4×C22⋊D5—24no—
69C4×C22⋊D5—24no—
70C2×#685—24no—
71C2×#685—24no—
72C2×#685C2×C411yescharacteristic
73C2×#685C2×C411yescharacteristic
74C2×#685C2×C411yescharacteristic
75C2×#685C2×C411yescharacteristic
76C2×#685C2×C411yescharacteristic, complemented
77C2×#685C2×C411yescharacteristic, complemented
78C2×#685C2311yescharacteristic
79C2×#685C2311yescharacteristic
80C2×C4⋊Dic5C2×C411yescharacteristic, complemented
81C2×#683C2×C411yescharacteristic, complemented
82C2×#683C2×C411yescharacteristic, complemented
83C2×C4×Dic5C2×C411yescharacteristic, complemented
84C2×C4×Dic5C2×C411yescharacteristic, complemented
85C2×C4×Dic5C2×C411yescharacteristic, complemented
86#4039—24no—
87#4038—24no—
88#4027—24no—
89#4027—24no—
90D5×C22⋊C4—24no—
91D5×C22⋊C4D418yes—
92C4×D20—24no—
93#4018—24no—
94#4011C2×C4116yescomplemented
95(C2×AGL(1,𝔽5))⋊C4—24no—
96(C2×AGL(1,𝔽5))⋊C4—24no—
97#3999C2×C4116yescomplemented
98C2×#518—51no—
99C22×#99—52no—
100#2273—52no—
101C4×#99—52no—
102C4×#99—52no—
103C4×#99—52no—
104C4×#99—52no—
105C2×#342—52no—
106C24×C5C22×C411yescharacteristic
107C24×C5C22×C411yescharacteristic
108C23×D5—22no—
109C23×D5—22no—
110C23×D5—81no—
111C23×D5—81no—
112C23×D5—81no—
113C23×D5—81no—
114C23×D5C4214yescomplemented
115C23×D5C22×C411yescharacteristic
116C23×D5C22×C411yescharacteristic
117C23×D5C22×C414yes—
118C23×D5C2×D414yes—
119C23×D5#4114yes—
120C23×D5C2411yescharacteristic
121C22×AGL(1,𝔽5)—28no—
122C22×AGL(1,𝔽5)—216no—
123C22×AGL(1,𝔽5)—84no—
124C22×AGL(1,𝔽5)—84no—
125C2×C5×D4—22no—
126C2×C5×D4—22no—
127C2×C5×D4C4214yescomplemented
128C22×C4×C5—22no—
129C22×C4×C5—22no—
130C22×C4×C5—81no—
131C22×C4×C5—81no—
132C22×C4×C5C22×C411yescharacteristic
133C22×C4×C5C22×C411yescharacteristic
134C22×C4×C5C22×C411yescharacteristic
135C22×C4×C5C22×C411yescharacteristic
136C22×C4×C5C22×C411yescharacteristic
137C2×C22⋊D5—22no—
138C2×C22⋊D5—22no—
139C2×C22⋊D5—22no—
140C2×C22⋊D5—22no—
141C2×C22⋊D5C4214yescomplemented
142C2×C22⋊D5C22×C414yes—
143C22×Dic5—22no—
144C22×Dic5—22no—
145C22×Dic5—81no—
146C22×Dic5—81no—
147C22×Dic5C22×C411yescharacteristic
148C22×Dic5C22×C411yescharacteristic
149C22×Dic5C22×C411yescharacteristic
150C22×Dic5C22×C411yescharacteristic
151C22×Dic5C22×C411yescharacteristic
152D4×D5—216no—
153D4×D5—216no—
154C2×D20—22no—
155C2×D20—22no—
156C2×D20C22×C414yes—
157C2×C4×D5—22no—
158C2×C4×D5—22no—
159C2×C4×D5—22no—
160C2×C4×D5—22no—
161C2×C4×D5—81no—
162C2×C4×D5—81no—
163C2×C4×D5—81no—
164C2×C4×D5—81no—
165C2×C4×D5C4214yescomplemented
166C2×C4×D5C2×D414yes—
167C2×C4×D5C2×D414yes—
168C22⋊AGL(1,𝔽5)—216no—
169C22⋊AGL(1,𝔽5)—28no—
170C22⋊AGL(1,𝔽5)C22×C4116yes—
171C4×AGL(1,𝔽5)—84no—
172C4×AGL(1,𝔽5)—84no—
173C5×C4⋊C4—22no—
174C5×C22⋊C4—22no—
175C5×C22⋊C4C22⋊C414yes—
176C42×C5—22no—
177C22⋊Dic5—22no—
178C22⋊Dic5C22⋊C414yes—
179#685—22no—
180#685—22no—
181#685—22no—
182#685—22no—
183#685—22no—
184#685—22no—
185#685C22⋊C414yes—
186#685C22⋊C414yes—
187C4⋊Dic5—22no—
188#683—22no—
189#683—22no—
190C4×Dic5—22no—
191C4×Dic5—22no—
192C4×Dic5—22no—
193C23×D4—51no—
194#518—108no—
195C2×C4×D4—51no—
196C2×C4×D4—51no—
197C2×C4×D4—51no—
198C2×C4×D4—51no—
199C2×C4×D4—51no—
200C2×C4×D4—51no—
201C2×C4×D4—51no—
202C2×C4×D4AGL(1,𝔽5)11yescharacteristic, complemented
203C2×#117—51no—
204C2×#117—51no—
205C22×C22⋊C4—51no—
206C22×C22⋊C4—54no—
207C22×C22⋊C4—51no—
208C22×C22⋊C4—51no—
209C22×C22⋊C4—51no—
210C2×#99—54no—
211C2×#99—54no—
212C2×#99—516no—
213C4×C22⋊C4—54no—
214C4×C22⋊C4—54no—
215C4×C22⋊C4—108no—
216#342—54no—
217#342—54no—
218C23×C5—21no—
219C23×C5—21no—
220C23×C5—41no—
221C23×C5—41no—
222C23×C5—41no—
223C23×C5—41no—
224C23×C5C2×C4212yes—
225C23×C5C2×C4212yes—
226C23×C5C2×C22⋊C412yes—
227C23×C5#11712yes—
228C23×C5C23×C411yescharacteristic
229C22×D5—21no—
230C22×D5—21no—
231C22×D5—28no—
232C22×D5—41no—
233C22×D5—41no—
234C22×D5—44no—
235C22×D5—44no—
236C22×D5—41no—
237C22×D5—41no—
238C22×D5—41no—
239C22×D5—41no—
240C22×D5—82no—
241C22×D5—82no—
242C22×D5—84no—
243C22×D5—84no—
244C22×D5—84no—
245C22×D5—84no—
246C22×D5C2×C4212yes—
247C22×D5C2×C4212yes—
248C22×D5C2×C22⋊C412yes—
249C22×D5#11712yes—
250C22×D5C4×D418yes—
251C22×D5C4×D418yes—
252C22×D5C23×C412yes—
253C22×D5C22×D412yes—
254C22×D5C2×#4112yes—
255C2×AGL(1,𝔽5)—216no—
256C2×AGL(1,𝔽5)—48no—
257C2×AGL(1,𝔽5)—48no—
258C2×AGL(1,𝔽5)—816no—
259C5×D4—28no—
260C2×C4×C5—21no—
261C2×C4×C5—21no—
262C2×C4×C5—21no—
263C2×C4×C5—21no—
264C2×C4×C5—41no—
265C2×C4×C5—41no—
266C2×C4×C5—41no—
267C2×C4×C5—41no—
268C2×C4×C5—82no—
269C2×C4×C5—82no—
270C2×C4×C5C2×C4212yes—
271C2×C4×C5C2×C22⋊C412yes—
272C2×C4×C5C2×C22⋊C412yes—
273C22⋊D5—28no—
274C22⋊D5—28no—
275C2×Dic5—21no—
276C2×Dic5—21no—
277C2×Dic5—21no—
278C2×Dic5—21no—
279C2×Dic5—41no—
280C2×Dic5—41no—
281C2×Dic5—41no—
282C2×Dic5—41no—
283C2×Dic5—82no—
284C2×Dic5—82no—
285C2×Dic5C2×C4212yes—
286C2×Dic5C2×C22⋊C412yes—
287C2×Dic5C2×C22⋊C412yes—
288D20—28no—
289C4×D5—28no—
290C4×D5—44no—
291C4×D5—44no—
292C4×D5—82no—
293C4×D5—82no—
294C25—51no—
295C25—51no—
296C22×D4—51no—
297C22×D4—51no—
298C22×D4—58no—
299C22×D4—51no—
300C22×D4—104no—
301C22×D4—104no—
302C22×D4C2×AGL(1,𝔽5)11yescharacteristic
303C23×C4—51no—
304C23×C4—51no—
305C23×C4—51no—
306C23×C4—51no—
307C23×C4—51no—
308C23×C4—51no—
309C23×C4—51no—
310C23×C4—104no—
311C23×C4C2×AGL(1,𝔽5)11yescharacteristic
312C23×C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
313C4×D4—24no—
314C4×D4—104no—
315C4×D4—104no—
316C4×D4—104no—
317C4×D4—104no—
318C4×D4—104no—
319C4×D4—104no—
320C4×D4—104no—
321#117—104no—
322#117—104no—
323C2×C4⋊C4—51no—
324C2×C4⋊C4—51no—
325C2×C4⋊C4—51no—
326C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
327C2×C22⋊C4—51no—
328C2×C22⋊C4—51no—
329C2×C22⋊C4—51no—
330C2×C22⋊C4—58no—
331C2×C22⋊C4—516no—
332C2×C22⋊C4—58no—
333C2×C22⋊C4—51no—
334C2×C22⋊C4—51no—
335C2×C22⋊C4—51no—
336C2×C22⋊C4—51no—
337C2×C22⋊C4—51no—
338C2×C22⋊C4—51no—
339C2×C22⋊C4—51no—
340C2×C22⋊C4—104no—
341C2×C22⋊C4—104no—
342C2×C22⋊C4—104no—
343C2×C22⋊C4—108no—
344C2×C22⋊C4—104no—
345C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic
346C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
347C2×C42—51no—
348C2×C42—51no—
349C2×C42—51no—
350C2×C42—104no—
351C2×C42—104no—
352C2×C42C2×AGL(1,𝔽5)11yescharacteristic, complemented
353#99—516no—
354#99—516no—
355#95—104no—
356#95—104no—
357C22×C5—21no—
358C22×C5—21no—
359C22×C5—22no—
360C22×C5—22no—
361C22×C5—22no—
362C22×C5—42no—
363C22×C5—42no—
364C22×C5—42no—
365C22×C5—42no—
366C22×C5—41no—
367C22×C5—41no—
368C22×C5C4×C22⋊C414yes—
369C22×C5C22×C4211yescharacteristic
370C22×C5C22×C22⋊C411yescharacteristic
371C22×C5C2×#11711yescharacteristic
372C2×D5—22no—
373C2×D5—22no—
374C2×D5—22no—
375C2×D5—22no—
376C2×D5—22no—
377C2×D5—48no—
378C2×D5—42no—
379C2×D5—42no—
380C2×D5—48no—
381C2×D5—42no—
382C2×D5—42no—
383C2×D5—42no—
384C2×D5—41no—
385C2×D5—41no—
386C2×D5—42no—
387C2×D5—88no—
388C2×D5C4×C22⋊C414yes—
389C2×D5C2×C4×D414yes—
390AGL(1,𝔽5)—416no—
391C4×C5—22no—
392C4×C5—22no—
393C4×C5—22no—
394C4×C5—41no—
395C4×C5—41no—
396Dic5—22no—
397Dic5—22no—
398Dic5—22no—
399Dic5—41no—
400Dic5—41no—
401C24—54no—
402C24—51no—
403C24—51no—
404C24—54no—
405C24—54no—
406C24—51no—
407C24—54no—
408C24—102no—
409C24—102no—
410C24—401no—
411C24—401no—
412C24—401no—
413C24—401no—
414C24C22×AGL(1,𝔽5)11yescharacteristic
415C24C22×AGL(1,𝔽5)11yescharacteristic
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—54no—
419C2×D4—54no—
420C2×D4—54no—
421C2×D4—102no—
422C2×D4—102no—
423C2×D4—1016no—
424C2×D4—1016no—
425C2×D4—102no—
426C2×D4—102no—
427C2×D4—102no—
428C2×D4—102no—
429C2×D4C4×AGL(1,𝔽5)14yescomplemented
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—51no—
433C22×C4—51no—
434C22×C4—51no—
435C22×C4—54no—
436C22×C4—54no—
437C22×C4—54no—
438C22×C4—51no—
439C22×C4—51no—
440C22×C4—81no—
441C22×C4—81no—
442C22×C4—102no—
443C22×C4—102no—
444C22×C4—102no—
445C22×C4—102no—
446C22×C4—108no—
447C22×C4—1016no—
448C22×C4—102no—
449C22×C4—102no—
450C22×C4—401no—
451C22×C4—401no—
452C22×C4—401no—
453C22×C4—401no—
454C22×C4—404no—
455C22×C4—404no—
456C22×C4—401no—
457C22×C4—401no—
458C22×C4C22×AGL(1,𝔽5)11yescharacteristic
459C22×C4C22×AGL(1,𝔽5)11yescharacteristic
460C22×C4C22×AGL(1,𝔽5)11yescharacteristic
461C22×C4C22×AGL(1,𝔽5)11yescharacteristic
462C22×C4C22×AGL(1,𝔽5)11yescharacteristic
463C4⋊C4—22no—
464C4⋊C4—102no—
465C4⋊C4—102no—
466C4⋊C4—102no—
467C22⋊C4—22no—
468C22⋊C4—54no—
469C22⋊C4—54no—
470C22⋊C4—54no—
471C22⋊C4—516no—
472C22⋊C4—102no—
473C22⋊C4—102no—
474C22⋊C4—102no—
475C22⋊C4—102no—
476C22⋊C4—102no—
477C22⋊C4—102no—
478C22⋊C4—108no—
479C22⋊C4—1016no—
480C22⋊C4—102no—
481C22⋊C4C22⋊AGL(1,𝔽5)14yes—
482C42—22no—
483C42—102no—
484C42—102no—
485C42—102no—
486C42—404no—
487C42—404no—
488C2×C5—21no—
489C2×C5—21no—
490C2×C5—24no—
491C2×C5—42no—
492C2×C5C2×C4×C22⋊C411yescharacteristic
493C2×C5#288311yescharacteristic
494C2×C5#288311yescharacteristic
495D5—24no—
496D5—24no—
497D5—42no—
498C23—21no—
499C23—21no—
500C23—41no—
501C23—41no—
502C23—41no—
503C23—41no—
504C23—52no—
505C23—52no—
506C23—52no—
507C23—52no—
508C23—52no—
509C23—52no—
510C23—58no—
511C23—58no—
512C23—52no—
513C23—108no—
514C23—101no—
515C23—101no—
516C23—201no—
517C23—204no—
518C23—201no—
519C23—204no—
520C23—201no—
521C23—201no—
522C23—201no—
523C23—201no—
524C23—402no—
525C23—402no—
526C23—404no—
527C23—404no—
528C23—404no—
529C23—404no—
530C23C2×C4×AGL(1,𝔽5)12yes—
531C23C2×C4×AGL(1,𝔽5)12yes—
532C23#413012yes—
533C23C2×C22⋊AGL(1,𝔽5)12yes—
534C23C23×AGL(1,𝔽5)11yescharacteristic
535D4—28no—
536D4—108no—
537D4—108no—
538D4—108no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—52no—
548C2×C4—52no—
549C2×C4—52no—
550C2×C4—82no—
551C2×C4—82no—
552C2×C4—108no—
553C2×C4—101no—
554C2×C4—101no—
555C2×C4—1016no—
556C2×C4—101no—
557C2×C4—101no—
558C2×C4—204no—
559C2×C4—204no—
560C2×C4—201no—
561C2×C4—201no—
562C2×C4—208no—
563C2×C4—208no—
564C2×C4—201no—
565C2×C4—201no—
566C2×C4—402no—
567C2×C4—402no—
568C2×C4—402no—
569C2×C4—402no—
570C2×C4—4016no—
571C2×C4C2×C4×AGL(1,𝔽5)12yes—
572C2×C4C2×C22⋊AGL(1,𝔽5)12yes—
573C2×C4C2×C22⋊AGL(1,𝔽5)12yes—
574C5#2039211yescharacteristic, complemented, Sylow
575C22—21no—
576C22—22no—
577C22—21no—
578C22—22no—
579C22—22no—
580C22—42no—
581C22—42no—
582C22—42no—
583C22—42no—
584C22—41no—
585C22—41no—
586C22—54no—
587C22—54no—
588C22—102no—
589C22—102no—
590C22—102no—
591C22—102no—
592C22—102no—
593C22—208no—
594C22—202no—
595C22—202no—
596C22—202no—
597C22—202no—
598C22—208no—
599C22—202no—
600C22—202no—
601C22—201no—
602C22—201no—
603C22—408no—
604C22C4×C22⋊AGL(1,𝔽5)14yes—
605C22C22×C4×AGL(1,𝔽5)11yescharacteristic
606C22C2×#413011yescharacteristic
607C22C22×C22⋊AGL(1,𝔽5)11yescharacteristic
608C4—22no—
609C4—22no—
610C4—22no—
611C4—41no—
612C4—41no—
613C4—102no—
614C4—102no—
615C4—102no—
616C4—2016no—
617C4—201no—
618C4—201no—
619C2—21no—
620C2—21no—
621C2—24no—
622C2—42no—
623C2—104no—
624C2—104no—
625C2—202no—
626C2C2×C4×C22⋊AGL(1,𝔽5)11yescharacteristic
627C2#1061748711yescharacteristic
628C2#1061753811yescharacteristic
subgroupG/H
centerC22C22×C22⋊AGL(1,𝔽5)
commutatorC22×C5C22×C42
FrattiniC23C23×AGL(1,𝔽5)
FittingC2×C4×C5×D4C4
socleC22×C5C22×C22⋊C4
prime radicalC22×D4×D5C22
cosocleC23×D5C24
hypercenterC2×C4×D4AGL(1,𝔽5)
hypocenterC5#20392
LCSG ▷ C22×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ C2×C22⋊C4 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
3. #10617067C2semidirect
4. C4×#4011C2semidirect
5. C2×#64917C2semidirect
6. #10604305C2semidirect
7. #10604216C2semidirect
8. C4×#3999C2semidirect
11. C2×C4×C5×D4C4semidirect
12. C2×D4×Dic5C4semidirect
13. C2×C4×C22⋊D5C4semidirect
15. C22×#685C4semidirect
19. C2×#4038C4semidirect
20. C2×#4027C4semidirect
22. C2×D5×C22⋊C4C4semidirect
25. C2×#4018C4semidirect
27. D5⋊#99C4semidirect
28. C4×C22⋊AGL(1,𝔽5)C22semidirect
29. C4×C22⋊AGL(1,𝔽5)C22semidirect
32. #64917C22semidirect
33. #64917C22semidirect
40. C23×C4×C5C2×C4semidirect
44. C23×Dic5C2×C4semidirect
50. C22×C4×D5C2×C4semidirect
51. C22×C4×D5C2×C4semidirect
56. C2×C22⋊AGL(1,𝔽5)C2×C4semidirect
61. C2×C5×C4⋊C4C2×C4semidirect
63. C2×C5×C22⋊C4C2×C4semidirect
64. C2×C42×C5C2×C4semidirect
66. C2×C22⋊Dic5C2×C4semidirect
76. C2×#685C2×C4semidirect
77. C2×#685C2×C4semidirect
80. C2×C4⋊Dic5C2×C4semidirect
81. C2×#683C2×C4semidirect
82. C2×#683C2×C4semidirect
83. C2×C4×Dic5C2×C4semidirect
84. C2×C4×Dic5C2×C4semidirect
85. C2×C4×Dic5C2×C4semidirect
94. #4011C2×C4semidirect
97. #3999C2×C4semidirect
114. C23×D5C42semidirect
127. C2×C5×D4C42semidirect
141. C2×C22⋊D5C42semidirect
165. C2×C4×D5C42semidirect
202. C2×C4×D4AGL(1,𝔽5)semidirect
312. C23×C4C2×AGL(1,𝔽5)semidirect
326. C2×C4⋊C4C2×AGL(1,𝔽5)semidirect
346. C2×C22⋊C4C2×AGL(1,𝔽5)semidirect
352. C2×C42C2×AGL(1,𝔽5)semidirect
429. C2×D4C4×AGL(1,𝔽5)semidirect
574. C5#20392semidirect

Maximal subgroups

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

subgroupindex
C2×#658792
C2×D5⋊#992
#106170672
C4×#40112
C2×#649172
#106043052
#106042162
C4×#39992
#203925