Finite Group Databasebeta

← #13034256

Subgroups — #13034256

Order 1280.

1690 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65879C211yesmaximal, characteristic
2C2×D5⋊#99C212yesmaximal
3#10617071C212yesmaximal, complemented
4#10604892C212yesmaximal, complemented
5C2×#64917C212yesmaximal, complemented
6#10604306C212yesmaximal, complemented
7#10604217C212yesmaximal, complemented
8#10604167C212yesmaximal, 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⋊#99—28no—
28#65765C2214yescomplemented
29#65765C2214yescomplemented
30C2×#3999C2214yes—
31#65699—28no—
32#64917C2214yescomplemented
33#64917C2214yescomplemented
34#20633—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×D5D414yes—
48C2×D4×D5Q814yes—
49C22×D20C2311yescharacteristic
50C22×C4×D5C2×C411yescharacteristic
51C22×C4×D5C2×C411yescharacteristic, complemented
52C22×C4×D5C2×C411yescharacteristic, complemented
53C22×C4×D5C2311yescharacteristic
54C22×C4×D5C2311yescharacteristic
55C2×C22⋊AGL(1,𝔽5)—28no—
56C2×C22⋊AGL(1,𝔽5)—28no—
57C2×C22⋊AGL(1,𝔽5)—24no—
58C2×C22⋊AGL(1,𝔽5)C2318yes—
59C2×C4⋊AGL(1,𝔽5)—24no—
60C2×C4⋊AGL(1,𝔽5)—24no—
61C4×C5×D4—24no—
62C2×C5×C4⋊C4C2×C411yescharacteristic, complemented
63C2×C5×C22⋊C4C2×C411yescharacteristic
64C2×C5×C22⋊C4C2×C411yescharacteristic, complemented
65C2×C42×C5C2×C411yescharacteristic, complemented
66C2×C22⋊Dic5C2×C411yescharacteristic
67C2×C22⋊Dic5C2×C411yescharacteristic, complemented
68D4×Dic5—24no—
69C4×C22⋊D5—24no—
70C4×C22⋊D5—24no—
71C2×#685—24no—
72C2×#685—24no—
73C2×#685C2×C411yescharacteristic
74C2×#685C2×C411yescharacteristic
75C2×#685C2×C411yescharacteristic
76C2×#685C2×C411yescharacteristic
77C2×#685C2×C411yescharacteristic, complemented
78C2×#685C2×C411yescharacteristic, complemented
79C2×#685C2311yescharacteristic
80C2×#685C2311yescharacteristic
81C2×C4⋊Dic5C2×C411yescharacteristic, complemented
82C2×#683C2×C411yescharacteristic, complemented
83C2×#683C2×C411yescharacteristic, complemented
84C2×C4×Dic5C2×C411yescharacteristic, complemented
85C2×C4×Dic5C2×C411yescharacteristic, complemented
86C2×C4×Dic5C2×C411yescharacteristic, complemented
87#4039—24no—
88#4038—24no—
89#4027—24no—
90#4027—24no—
91D5×C22⋊C4—24no—
92D5×C22⋊C4D418yes—
93C4×D20—24no—
94#4018—24no—
95#4011—28no—
96(C2×AGL(1,𝔽5))⋊C4—24no—
97(C2×AGL(1,𝔽5))⋊C4—24no—
98#3999—28no—
99C2×#518—51no—
100C22×#99—52no—
101#2315—52no—
102#1799—52no—
103#1799—52no—
104#1799—52no—
105#1799—52no—
106C2×#342—52no—
107C24×C5C22×C411yescharacteristic
108C24×C5C22×C411yescharacteristic
109C23×D5—22no—
110C23×D5—22no—
111C23×D5—81no—
112C23×D5—81no—
113C23×D5—81no—
114C23×D5—81no—
115C23×D5C4⋊C414yescomplemented
116C23×D5C22×C411yescharacteristic
117C23×D5C22×C411yescharacteristic
118C23×D5C2×D414yes—
119C23×D5C2×D412yes—
120C23×D5C2×Q812yes—
121C23×D5#4114yes—
122C23×D5C2411yescharacteristic
123C22×AGL(1,𝔽5)—28no—
124C22×AGL(1,𝔽5)—48no—
125C22×AGL(1,𝔽5)—84no—
126C22×AGL(1,𝔽5)—84no—
127C2×C5×D4—22no—
128C2×C5×D4—22no—
129C2×C5×D4C4⋊C414yescomplemented
130C22×C4×C5—22no—
131C22×C4×C5—22no—
132C22×C4×C5—81no—
133C22×C4×C5—81no—
134C22×C4×C5C22×C411yescharacteristic
135C22×C4×C5C22×C411yescharacteristic
136C22×C4×C5C22×C411yescharacteristic
137C22×C4×C5C22×C411yescharacteristic
138C22×C4×C5C22×C411yescharacteristic
139C2×C22⋊D5—22no—
140C2×C22⋊D5—22no—
141C2×C22⋊D5—22no—
142C2×C22⋊D5—22no—
143C2×C22⋊D5C4⋊C414yescomplemented
144C2×C22⋊D5C2×D412yes—
145C2×C22⋊D5C2×Q812yes—
146C22×Dic5—22no—
147C22×Dic5—22no—
148C22×Dic5—81no—
149C22×Dic5—81no—
150C22×Dic5C22×C411yescharacteristic
151C22×Dic5C22×C411yescharacteristic
152C22×Dic5C22×C411yescharacteristic
153C22×Dic5C22×C411yescharacteristic
154C22×Dic5C22×C411yescharacteristic
155D4×D5—216no—
156D4×D5—216no—
157C2×D20—22no—
158C2×D20—22no—
159C2×D20C2×D412yes—
160C2×D20C2×Q812yes—
161C2×C4×D5—22no—
162C2×C4×D5—22no—
163C2×C4×D5—22no—
164C2×C4×D5—22no—
165C2×C4×D5—81no—
166C2×C4×D5—81no—
167C2×C4×D5—81no—
168C2×C4×D5—81no—
169C2×C4×D5C4⋊C414yescomplemented
170C2×C4×D5C2×D414yes—
171C2×C4×D5C2×D414yes—
172C22⋊AGL(1,𝔽5)—28no—
173C22⋊AGL(1,𝔽5)—28no—
174C22⋊AGL(1,𝔽5)—48no—
175C4⋊AGL(1,𝔽5)—84no—
176C4⋊AGL(1,𝔽5)—84no—
177C5×C4⋊C4—22no—
178C5×C22⋊C4—22no—
179C5×C22⋊C4C22⋊C414yes—
180C42×C5—22no—
181C22⋊Dic5—22no—
182C22⋊Dic5C22⋊C414yes—
183#685—22no—
184#685—22no—
185#685—22no—
186#685—22no—
187#685—22no—
188#685—22no—
189#685C22⋊C414yes—
190#685C22⋊C414yes—
191C4⋊Dic5—22no—
192#683—22no—
193#683—22no—
194C4×Dic5—22no—
195C4×Dic5—22no—
196C4×Dic5—22no—
197C23×D4—51no—
198#518—108no—
199C2×C4×D4—51no—
200C2×C4×D4—51no—
201C2×C4×D4—51no—
202C2×C4×D4—51no—
203C2×C4×D4—51no—
204C2×C4×D4—51no—
205C2×C4×D4—51no—
206C2×C4×D4AGL(1,𝔽5)11yescharacteristic, complemented
207C2×#117—51no—
208C2×#117—51no—
209C22×C22⋊C4—51no—
210C22×C22⋊C4—51no—
211C22×C22⋊C4—51no—
212C22×C22⋊C4—51no—
213C22×C22⋊C4—54no—
214C2×#99—54no—
215C2×#99—54no—
216C2×#99—108no—
217#385—108no—
218#380—54no—
219#380—54no—
220#342—54no—
221#342—54no—
222C23×C5—21no—
223C23×C5—21no—
224C23×C5—41no—
225C23×C5—41no—
226C23×C5—41no—
227C23×C5—41no—
228C23×C5C2×C22⋊C412yes—
229C23×C5C2×C4⋊C412yes—
230C23×C5C2×C4⋊C412yes—
231C23×C5#11712yes—
232C23×C5C23×C411yescharacteristic
233C22×D5—21no—
234C22×D5—21no—
235C22×D5—28no—
236C22×D5—41no—
237C22×D5—41no—
238C22×D5—44no—
239C22×D5—44no—
240C22×D5—41no—
241C22×D5—41no—
242C22×D5—41no—
243C22×D5—41no—
244C22×D5—82no—
245C22×D5—82no—
246C22×D5—82no—
247C22×D5—82no—
248C22×D5—84no—
249C22×D5—84no—
250C22×D5—84no—
251C22×D5C2×C22⋊C412yes—
252C22×D5C2×C4⋊C412yes—
253C22×D5C2×C4⋊C412yes—
254C22×D5#11712yes—
255C22×D5#12118yes—
256C22×D5C22⋊Q818yes—
257C22×D5C22×D412yes—
258C22×D5C22×D411yescharacteristic
259C22×D5C22×Q811yescharacteristic
260C22×D5C2×#4112yes—
261C2×AGL(1,𝔽5)—48no—
262C2×AGL(1,𝔽5)—48no—
263C2×AGL(1,𝔽5)—48no—
264C2×AGL(1,𝔽5)—816no—
265C5×D4—28no—
266C2×C4×C5—21no—
267C2×C4×C5—21no—
268C2×C4×C5—21no—
269C2×C4×C5—21no—
270C2×C4×C5—41no—
271C2×C4×C5—41no—
272C2×C4×C5—41no—
273C2×C4×C5—41no—
274C2×C4×C5—82no—
275C2×C4×C5—82no—
276C2×C4×C5C2×C22⋊C412yes—
277C2×C4×C5C2×C22⋊C412yes—
278C2×C4×C5C2×C4⋊C412yes—
279C22⋊D5—28no—
280C22⋊D5—24no—
281C22⋊D5—24no—
282C2×Dic5—21no—
283C2×Dic5—21no—
284C2×Dic5—21no—
285C2×Dic5—21no—
286C2×Dic5—41no—
287C2×Dic5—41no—
288C2×Dic5—41no—
289C2×Dic5—41no—
290C2×Dic5—82no—
291C2×Dic5—82no—
292C2×Dic5C2×C22⋊C412yes—
293C2×Dic5C2×C22⋊C412yes—
294C2×Dic5C2×C4⋊C412yes—
295D20—24no—
296D20—24no—
297C4×D5—28no—
298C4×D5—44no—
299C4×D5—44no—
300C4×D5—82no—
301C4×D5—82no—
302C25—51no—
303C25—51no—
304C22×D4—51no—
305C22×D4—51no—
306C22×D4—54no—
307C22×D4—54no—
308C22×D4—51no—
309C22×D4—104no—
310C22×D4—104no—
311C22×D4C2×AGL(1,𝔽5)11yescharacteristic
312C23×C4—51no—
313C23×C4—51no—
314C23×C4—51no—
315C23×C4—51no—
316C23×C4—51no—
317C23×C4—51no—
318C23×C4—51no—
319C23×C4—104no—
320C23×C4C2×AGL(1,𝔽5)11yescharacteristic
321C23×C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
322C4×D4—24no—
323C4×D4—104no—
324C4×D4—104no—
325C4×D4—104no—
326C4×D4—104no—
327C4×D4—104no—
328C4×D4—104no—
329C4×D4—104no—
330#117—104no—
331#117—104no—
332C2×C4⋊C4—51no—
333C2×C4⋊C4—51no—
334C2×C4⋊C4—51no—
335C2×C4⋊C4—104no—
336C2×C4⋊C4—104no—
337C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
338C2×C22⋊C4—51no—
339C2×C22⋊C4—51no—
340C2×C22⋊C4—51no—
341C2×C22⋊C4—58no—
342C2×C22⋊C4—51no—
343C2×C22⋊C4—51no—
344C2×C22⋊C4—51no—
345C2×C22⋊C4—51no—
346C2×C22⋊C4—51no—
347C2×C22⋊C4—51no—
348C2×C22⋊C4—51no—
349C2×C22⋊C4—58no—
350C2×C22⋊C4—104no—
351C2×C22⋊C4—104no—
352C2×C22⋊C4—104no—
353C2×C22⋊C4—108no—
354C2×C22⋊C4—108no—
355C2×C22⋊C4—104no—
356C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic
357C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
358C2×C42—51no—
359C2×C42—51no—
360C2×C42—51no—
361C2×C42C2×AGL(1,𝔽5)11yescharacteristic, complemented
362#99—108no—
363#99—108no—
364#95—104no—
365#95—104no—
366C22×C5—21no—
367C22×C5—21no—
368C22×C5—22no—
369C22×C5—22no—
370C22×C5—22no—
371C22×C5—42no—
372C22×C5—42no—
373C22×C5—42no—
374C22×C5—42no—
375C22×C5—41no—
376C22×C5—41no—
377C22×C5#38014yes—
378C22×C5C22×C22⋊C411yescharacteristic
379C22×C5C22×C4⋊C411yescharacteristic
380C22×C5C2×#11711yescharacteristic
381C2×D5—22no—
382C2×D5—22no—
383C2×D5—22no—
384C2×D5—22no—
385C2×D5—22no—
386C2×D5—48no—
387C2×D5—42no—
388C2×D5—42no—
389C2×D5—48no—
390C2×D5—41no—
391C2×D5—41no—
392C2×D5—42no—
393C2×D5—42no—
394C2×D5—41no—
395C2×D5—41no—
396C2×D5—42no—
397C2×D5—88no—
398C2×D5#38014yes—
399C2×D5C2×#12112yes—
400C2×D5C2×C22⋊Q812yes—
401AGL(1,𝔽5)—88no—
402C4×C5—22no—
403C4×C5—22no—
404C4×C5—22no—
405C4×C5—41no—
406C4×C5—41no—
407Dic5—22no—
408Dic5—22no—
409Dic5—22no—
410Dic5—41no—
411Dic5—41no—
412C24—54no—
413C24—51no—
414C24—51no—
415C24—52no—
416C24—52no—
417C24—54no—
418C24—51no—
419C24—54no—
420C24—102no—
421C24—102no—
422C24—401no—
423C24—401no—
424C24—401no—
425C24—401no—
426C24C22×AGL(1,𝔽5)11yescharacteristic
427C24C22×AGL(1,𝔽5)11yescharacteristic
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—52no—
431C2×D4—54no—
432C2×D4—52no—
433C2×D4—52no—
434C2×D4—52no—
435C2×D4—102no—
436C2×D4—102no—
437C2×D4—1016no—
438C2×D4—1016no—
439C2×D4—102no—
440C2×D4—102no—
441C2×D4—102no—
442C2×D4—102no—
443C2×D4C4⋊AGL(1,𝔽5)14yescomplemented
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—51no—
447C22×C4—51no—
448C22×C4—51no—
449C22×C4—54no—
450C22×C4—54no—
451C22×C4—54no—
452C22×C4—51no—
453C22×C4—51no—
454C22×C4—81no—
455C22×C4—81no—
456C22×C4—102no—
457C22×C4—102no—
458C22×C4—102no—
459C22×C4—102no—
460C22×C4—102no—
461C22×C4—102no—
462C22×C4—108no—
463C22×C4—208no—
464C22×C4—401no—
465C22×C4—401no—
466C22×C4—401no—
467C22×C4—401no—
468C22×C4—404no—
469C22×C4—404no—
470C22×C4—401no—
471C22×C4—401no—
472C22×C4C22×AGL(1,𝔽5)11yescharacteristic
473C22×C4C22×AGL(1,𝔽5)11yescharacteristic
474C22×C4C22×AGL(1,𝔽5)11yescharacteristic
475C22×C4C22×AGL(1,𝔽5)11yescharacteristic
476C22×C4C22×AGL(1,𝔽5)11yescharacteristic
477C4⋊C4—22no—
478C4⋊C4—102no—
479C4⋊C4—102no—
480C4⋊C4—102no—
481C4⋊C4—404no—
482C4⋊C4—404no—
483C22⋊C4—22no—
484C22⋊C4—54no—
485C22⋊C4—54no—
486C22⋊C4—54no—
487C22⋊C4—102no—
488C22⋊C4—102no—
489C22⋊C4—102no—
490C22⋊C4—102no—
491C22⋊C4—102no—
492C22⋊C4—102no—
493C22⋊C4—102no—
494C22⋊C4—108no—
495C22⋊C4—108no—
496C22⋊C4—208no—
497C22⋊C4C22⋊AGL(1,𝔽5)14yes—
498C42—22no—
499C42—102no—
500C42—102no—
501C42—102no—
502C2×C5—21no—
503C2×C5—21no—
504C2×C5—24no—
505C2×C5—42no—
506C2×C5C2×#38011yescharacteristic
507C2×C5#288311yescharacteristic
508C2×C5#288311yescharacteristic
509D5—22no—
510D5—24no—
511D5—22no—
512D5—42no—
513C23—21no—
514C23—21no—
515C23—41no—
516C23—41no—
517C23—41no—
518C23—41no—
519C23—52no—
520C23—52no—
521C23—51no—
522C23—52no—
523C23—51no—
524C23—52no—
525C23—52no—
526C23—58no—
527C23—58no—
528C23—52no—
529C23—108no—
530C23—101no—
531C23—101no—
532C23—201no—
533C23—204no—
534C23—201no—
535C23—204no—
536C23—201no—
537C23—201no—
538C23—201no—
539C23—201no—
540C23—402no—
541C23—402no—
542C23—402no—
543C23—402no—
544C23—404no—
545C23—404no—
546C23—404no—
547C23C2×C4⋊AGL(1,𝔽5)12yes—
548C23C2×C4⋊AGL(1,𝔽5)12yes—
549C23#413012yes—
550C23C2×C22⋊AGL(1,𝔽5)12yes—
551C23C23×AGL(1,𝔽5)11yescharacteristic
552D4—28no—
553D4—104no—
554D4—104no—
555D4—104no—
556D4—104no—
557D4—108no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—52no—
567C2×C4—52no—
568C2×C4—52no—
569C2×C4—82no—
570C2×C4—82no—
571C2×C4—108no—
572C2×C4—101no—
573C2×C4—101no—
574C2×C4—101no—
575C2×C4—101no—
576C2×C4—204no—
577C2×C4—204no—
578C2×C4—201no—
579C2×C4—201no—
580C2×C4—201no—
581C2×C4—201no—
582C2×C4—208no—
583C2×C4—208no—
584C2×C4—208no—
585C2×C4—402no—
586C2×C4—402no—
587C2×C4—402no—
588C2×C4—402no—
589C2×C4—4016no—
590C2×C4C2×C4⋊AGL(1,𝔽5)12yes—
591C2×C4C2×C22⋊AGL(1,𝔽5)12yes—
592C2×C4C2×C22⋊AGL(1,𝔽5)12yes—
593C5#2063311yescharacteristic, complemented, Sylow
594C22—21no—
595C22—22no—
596C22—21no—
597C22—22no—
598C22—22no—
599C22—42no—
600C22—42no—
601C22—42no—
602C22—42no—
603C22—41no—
604C22—41no—
605C22—54no—
606C22—52no—
607C22—52no—
608C22—102no—
609C22—102no—
610C22—102no—
611C22—102no—
612C22—102no—
613C22—208no—
614C22—202no—
615C22—202no—
616C22—201no—
617C22—201no—
618C22—202no—
619C22—208no—
620C22—202no—
621C22—202no—
622C22—201no—
623C22—201no—
624C22—408no—
625C22#6576514yes—
626C22C22×C4⋊AGL(1,𝔽5)11yescharacteristic
627C22C2×#413011yescharacteristic
628C22C22×C22⋊AGL(1,𝔽5)11yescharacteristic
629C4—22no—
630C4—22no—
631C4—22no—
632C4—41no—
633C4—41no—
634C4—102no—
635C4—102no—
636C4—102no—
637C4—201no—
638C4—201no—
639C4—408no—
640C2—21no—
641C2—21no—
642C2—24no—
643C2—42no—
644C2—102no—
645C2—104no—
646C2—102no—
647C2—202no—
648C2C2×#6576511yescharacteristic
649C2#1061748711yescharacteristic
650C2#1061753811yescharacteristic
subgroupG/H
centerC22C22×C22⋊AGL(1,𝔽5)
commutatorC23×C5C23×C4
FrattiniC23C23×AGL(1,𝔽5)
FittingC2×C4×C5×D4C4
socleC22×C5C22×C22⋊C4
prime radicalC22×D4×D5C22
cosocleC23×D5C24
hypercenterC2×C4×D4AGL(1,𝔽5)
hypocenterC5#20633
LCSG ▷ C23×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. #10617071C2semidirect
4. #10604892C2semidirect
5. C2×#64917C2semidirect
6. #10604306C2semidirect
7. #10604217C2semidirect
8. #10604167C2semidirect
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
28. #65765C22semidirect
29. #65765C22semidirect
32. #64917C22semidirect
33. #64917C22semidirect
40. C23×C4×C5C2×C4semidirect
44. C23×Dic5C2×C4semidirect
51. C22×C4×D5C2×C4semidirect
52. C22×C4×D5C2×C4semidirect
62. C2×C5×C4⋊C4C2×C4semidirect
64. C2×C5×C22⋊C4C2×C4semidirect
65. C2×C42×C5C2×C4semidirect
67. C2×C22⋊Dic5C2×C4semidirect
77. C2×#685C2×C4semidirect
78. C2×#685C2×C4semidirect
81. C2×C4⋊Dic5C2×C4semidirect
82. C2×#683C2×C4semidirect
83. C2×#683C2×C4semidirect
84. C2×C4×Dic5C2×C4semidirect
85. C2×C4×Dic5C2×C4semidirect
86. C2×C4×Dic5C2×C4semidirect
115. C23×D5C4⋊C4semidirect
129. C2×C5×D4C4⋊C4semidirect
143. C2×C22⋊D5C4⋊C4semidirect
169. C2×C4×D5C4⋊C4semidirect
206. C2×C4×D4AGL(1,𝔽5)semidirect
321. C23×C4C2×AGL(1,𝔽5)semidirect
337. C2×C4⋊C4C2×AGL(1,𝔽5)semidirect
357. C2×C22⋊C4C2×AGL(1,𝔽5)semidirect
361. C2×C42C2×AGL(1,𝔽5)semidirect
443. C2×D4C4⋊AGL(1,𝔽5)semidirect
593. C5#20633semidirect

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
#106170712
#106048922
C2×#649172
#106043062
#106042172
#106041672
#206335