Finite Group Databasebeta

← C2×D32×M16 #11918442

Subgroups — C2×D32×M16 #11918442

Order 1152.

3589 conjugacy classes of subgroups.

The subgroup lattice has 653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D32C211yesmaximal, characteristic
2C2×M16×C3⋊D3C211yesmaximal, characteristic, complemented
3C2×C3×D3×M16C212yesmaximal, complemented
4C2×#63818C211yesmaximal, characteristic, complemented
5C2×D3×#208C212yesmaximal, complemented
6D32×M16C2116yesmaximal, direct product factor
7C2×#63791C212yesmaximal, complemented
8C2×D3×ΓL(1,𝔽25)C214yesmaximal, complemented
9C2×D32×C8C212yesmaximal, complemented
10C22×D3×M16—32nomaximal
11C23×D32C411yescharacteristic
12C22×C4×C3⋊D3C2211yescharacteristic
13C22×C3×C4×D3C2212yes—
14C22×#624C411yescharacteristic
15C22×D3×Dic3C412yes—
16C2×C4×D32C411yescharacteristic
17C2×C4×D32C412yes—
18C2×C4×D32C418yes—
19C2×C4×D32C411yescharacteristic
20C2×C4×D32C2211yescharacteristic
21C2×C4×D32C2212yes—
22C2×C4×D32C2211yescharacteristic
23C2×C4×D32C2218yes—
24C2×C32×M16C2211yescharacteristic, complemented
25C2×#3748C2211yescharacteristic, complemented
26M16×C3⋊D3C2218yescomplemented
27C2×#3743C2212yescomplemented
28C2×C8×C3⋊D3C2212yescomplemented
29C2×C3×#208C2212yescomplemented
30C3×D3×M16C22116yescomplemented
31C2×C3×ΓL(1,𝔽25)C2214yescomplemented
32C2×C3×D3×C8C2214yescomplemented
33C2×#3712C2212yescomplemented
34C2×#3711C2214yescomplemented
35#63818C2218yescomplemented
36C2×#3710C2212yescomplemented
37D3×#208C22116yescomplemented
38C2×D3×C3⋊C8C2214yescomplemented
39#63791C22116yescomplemented
40D3×ΓL(1,𝔽25)C22132yescomplemented
41D32×C8C22116yescomplemented
42C23×C4×D3—32no—
43C22×C3×M16—32no—
44C22×#208—32no—
45C2×D3×M16—32no—
46C2×D3×M16—32no—
47C2×D3×M16—32no—
48C2×D3×M16—332no—
49C2×D3×M16—34no—
50C2×D3×M16—34no—
51C2×D3×M16—61no—
52C2×D3×M16D312yesdirect product factor
53C22×ΓL(1,𝔽25)—34no—
54C22×D3×C8—34no—
55C23×C3⋊D3C2×C411yescharacteristic
56C23×C3×D3C2×C412yes—
57C22×D32—28no—
58C22×D32C2×C411yescharacteristic
59C22×D32C2×C412yes—
60C22×D32C2×C418yes—
61C22×D32C2×C411yescharacteristic
62C22×C32×C4C2311yescharacteristic
63C22×C3⋊Dic3C2×C411yescharacteristic
64C2×C4×C3⋊D3C2×C411yescharacteristic
65C2×C4×C3⋊D3C2×C414yes—
66C2×C4×C3⋊D3C2×C411yescharacteristic
67C2×C4×C3⋊D3C2311yescharacteristic
68C2×C4×C3⋊D3C2314yes—
69C2×C4×C3⋊D3C2311yescharacteristic
70C22×C3×Dic3C2×C412yes—
71C2×C3×C4×D3C2×C418yes—
72C2×C3×C4×D3C2×C412yes—
73C2×C3×C4×D3C2×C412yes—
74C2×C3×C4×D3C2312yes—
75C2×C3×C4×D3C2312yes—
76C2×C3×C4×D3C2318yes—
77C2×#624C2×C412yes—
78C2×#624C2×C418yes—
79C2×#624C2×C411yescharacteristic
80C2×#624C2×C411yescharacteristic
81C2×D3×Dic3C2×C412yes—
82C2×D3×Dic3C2×C412yes—
83C2×D3×Dic3C2×C4116yes—
84C2×D3×Dic3C2×C412yes—
85C2×D3×Dic3C2×C412yes—
86C4×D32C2×C418yes—
87C4×D32C2×C414yes—
88C4×D32C2×C418yes—
89C4×D32C2×C4116yes—
90C4×D32C2×C414yes—
91C4×D32C2×C418yes—
92C4×D32C2314yes—
93C4×D32C2318yes—
94C4×D32C2314yes—
95C32×M16C2314yescomplemented
96C2×C32×C8C2312yescomplemented
97#3748C2314yescomplemented
98C2×C3⋊(C3⋊C8)C2312yescomplemented
99#3743C2318yescomplemented
100C8×C3⋊D3C2318yescomplemented
101C3×#208C2318yescomplemented
102C2×C3×C3⋊C8C2314yescomplemented
103C3×ΓL(1,𝔽25)C23116yescomplemented
104C3×D3×C8C23116yescomplemented
105#3712C2318yescomplemented
106#3711C23116yescomplemented
107#3710C2318yescomplemented
108D3×C3⋊C8C23116yescomplemented
109C23×M16—91noSylow
110C24×D3—32no—
111C23×C3×C4—32no—
112C23×Dic3—32no—
113C22×C4×D3—32no—
114C22×C4×D3—32no—
115C22×C4×D3—32no—
116C22×C4×D3—32no—
117C22×C4×D3—32no—
118C22×C4×D3—316no—
119C22×C4×D3—32no—
120C22×C4×D3—32no—
121C22×C4×D3—32no—
122C22×C4×D3—32no—
123C22×C4×D3—32no—
124C22×C4×D3—32no—
125C22×C4×D3—316no—
126C22×C4×D3—61no—
127C22×C4×D3C2×D312yes—
128C2×C3×M16—21no—
129C2×C3×M16—32no—
130C2×C3×M16—316no—
131C2×C3×M16—34no—
132C2×C3×M16C2×D312yescomplemented
133C22×C3×C8—34no—
134C2×#208—32no—
135C2×#208—316no—
136C2×#208—34no—
137C2×#208—61no—
138C2×#208C2×D312yescomplemented
139C22×C3⋊C8—34no—
140D3×M16—316no—
141D3×M16—316no—
142D3×M16—316no—
143D3×M16—332no—
144D3×M16—332no—
145D3×M16—68no—
146D3×M16C2×D3116yesdirect product factor
147C2×ΓL(1,𝔽25)—34no—
148C2×ΓL(1,𝔽25)—34no—
149C2×ΓL(1,𝔽25)—34no—
150C2×ΓL(1,𝔽25)—332no—
151C2×ΓL(1,𝔽25)—62no—
152C2×ΓL(1,𝔽25)C2×D314yescomplemented
153C2×D3×C8—34no—
154C2×D3×C8—34no—
155C2×D3×C8—34no—
156C2×D3×C8—332no—
157C2×D3×C8—62no—
158C2×D3×C8C2×D314yescomplemented
159C23×C32C22×C411yescharacteristic
160C22×C3⋊D3—24no—
161C22×C3⋊D3C22×C411yescharacteristic
162C22×C3⋊D3C22×C414yes—
163C22×C3⋊D3C22×C411yescharacteristic
164C22×C3×D3—28no—
165C22×C3×D3C22×C412yes—
166C22×C3×D3C22×C418yes—
167C22×C3×D3C22×C412yes—
168C2×D32—24no—
169C2×D32—28no—
170C2×D32—232no—
171C2×D32M1618yesdirect product factor
172C2×D32C22×C414yes—
173C2×D32C22×C418yes—
174C2×D32C22×C414yes—
175C2×C32×C4C22×C412yes—
176C2×C32×C4C22×C411yescharacteristic
177C2×C32×C4C2411yescharacteristic
178C2×C32×C4C2412yes—
179C2×C3⋊Dic3C22×C414yes—
180C2×C3⋊Dic3C22×C411yescharacteristic
181C2×C3⋊Dic3C22×C411yescharacteristic
182C4×C3⋊D3C22×C414yes—
183C4×C3⋊D3C22×C412yes—
184C4×C3⋊D3C22×C412yes—
185C4×C3⋊D3C22×C414yes—
186C4×C3⋊D3C2412yes—
187C4×C3⋊D3C2412yes—
188C2×C3×Dic3C22×C418yes—
189C2×C3×Dic3C22×C412yes—
190C2×C3×Dic3C22×C412yes—
191C3×C4×D3C22×C414yes—
192C3×C4×D3C22×C418yes—
193C3×C4×D3C22×C414yes—
194C3×C4×D3C22×C418yes—
195C3×C4×D3C2414yes—
196C3×C4×D3C2414yes—
197#624C22×C418yes—
198#624C22×C414yes—
199#624C22×C414yes—
200D3×Dic3C22×C418yes—
201D3×Dic3C22×C418yes—
202D3×Dic3C22×C418yes—
203D3×Dic3C22×C418yes—
204C32×C8C2414yescomplemented
205C3⋊(C3⋊C8)C2414yescomplemented
206C3×C3⋊C8C2418yescomplemented
207C24×C4—91no—
208C22×M16—32no—
209C22×M16—94no—
210C22×M16—91no—
211C22×M16—916no—
212C22×M16—92no—
213C22×M16—92no—
214C22×M16—91no—
215C23×C8—92no—
216C24×C3—32no—
217C23×D3—32no—
218C23×D3—32no—
219C23×D3—32no—
220C23×D3—316no—
221C23×D3—32no—
222C23×D3—32no—
223C23×D3—61no—
224C23×D3—616no—
225C23×D3C4×D312yes—
226C22×C3×C4—21no—
227C22×C3×C4—32no—
228C22×C3×C4—32no—
229C22×C3×C4—38no—
230C22×C3×C4—32no—
231C22×C3×C4—32no—
232C22×C3×C4—38no—
233C22×C3×C4—32no—
234C22×C3×C4C22×D312yes—
235C22×Dic3—32no—
236C22×Dic3—32no—
237C22×Dic3—32no—
238C22×Dic3—316no—
239C22×Dic3—32no—
240C22×Dic3—32no—
241C22×Dic3—61no—
242C22×Dic3C4×D312yes—
243C2×C4×D3—32no—
244C2×C4×D3—316no—
245C2×C4×D3—32no—
246C2×C4×D3—32no—
247C2×C4×D3—32no—
248C2×C4×D3—32no—
249C2×C4×D3—38no—
250C2×C4×D3—32no—
251C2×C4×D3—32no—
252C2×C4×D3—32no—
253C2×C4×D3—38no—
254C2×C4×D3—32no—
255C2×C4×D3—32no—
256C2×C4×D3—32no—
257C2×C4×D3—316no—
258C2×C4×D3—32no—
259C2×C4×D3—38no—
260C2×C4×D3—316no—
261C2×C4×D3—38no—
262C2×C4×D3—316no—
263C2×C4×D3—38no—
264C2×C4×D3—316no—
265C2×C4×D3—316no—
266C2×C4×D3—38no—
267C2×C4×D3—38no—
268C2×C4×D3—38no—
269C2×C4×D3—38no—
270C2×C4×D3—38no—
271C2×C4×D3—61no—
272C2×C4×D3—61no—
273C2×C4×D3—64no—
274C2×C4×D3—61no—
275C2×C4×D3—64no—
276C2×C4×D3—61no—
277C2×C4×D3C4×D318yes—
278C2×C4×D3C4×D312yes—
279C2×C4×D3C4×D312yes—
280C2×C4×D3C22×D312yes—
281C2×C4×D3C22×D312yes—
282C2×C4×D3C22×D318yes—
283C3×M16—24no—
284C3×M16—38no—
285C3×M16—316no—
286C3×M16C22×D318yescomplemented
287C2×C3×C8—22no—
288C2×C3×C8—34no—
289C2×C3×C8—316no—
290C2×C3×C8C22×D314yescomplemented
291#208—38no—
292#208—316no—
293#208—64no—
294#208C22×D318yescomplemented
295C2×C3⋊C8—34no—
296C2×C3⋊C8—316no—
297C2×C3⋊C8—62no—
298C2×C3⋊C8C22×D314yescomplemented
299ΓL(1,𝔽25)—316no—
300ΓL(1,𝔽25)—316no—
301ΓL(1,𝔽25)—316no—
302ΓL(1,𝔽25)—68no—
303ΓL(1,𝔽25)C22×D3116yescomplemented
304D3×C8—316no—
305D3×C8—316no—
306D3×C8—316no—
307D3×C8—68no—
308D3×C8C22×D3116yescomplemented
309C22×C32—22no—
310C22×C32C23×C412yes—
311C22×C32C23×C411yescharacteristic
312C2×C3⋊D3—22no—
313C2×C3⋊D3—28no—
314C2×C3⋊D3C2×M1614yescomplemented
315C2×C3⋊D3C23×C412yes—
316C2×C3⋊D3C23×C412yes—
317C2×C3×D3—24no—
318C2×C3×D3—216no—
319C2×C3×D3C2×M1618yescomplemented
320C2×C3×D3C23×C414yes—
321C2×C3×D3C23×C414yes—
322D32—28no—
323D32—216no—
324D32C2×M16116yesdirect product factor
325C32×C4C23×C411yescharacteristic
326C32×C4C23×C412yes—
327C32×C4C2511yescharacteristic
328C3⋊Dic3C23×C412yes—
329C3⋊Dic3C23×C412yes—
330C3×Dic3C23×C414yes—
331C3×Dic3C23×C414yes—
332C25—91no—
333C23×C4—32no—
334C23×C4—91no—
335C23×C4—98no—
336C23×C4—92no—
337C23×C4—91no—
338C23×C4—91no—
339C23×C4—91no—
340C23×C4—92no—
341C23×C4—91no—
342C23×C4—98no—
343C23×C4—92no—
344C23×C4—91no—
345C2×M16—32no—
346C2×M16—316no—
347C2×M16—34no—
348C2×M16—92no—
349C2×M16—932no—
350C2×M16—94no—
351C2×M16—98no—
352C2×M16—916no—
353C2×M16—916no—
354C2×M16—91no—
355C2×M16—98no—
356C2×M16—92no—
357C2×M16D3211yescharacteristic, direct product factor
358C22×C8—34no—
359C22×C8—92no—
360C22×C8—916no—
361C22×C8—94no—
362C22×C8—92no—
363C23×C3—21no—
364C23×C3—32no—
365C23×C3—38no—
366C23×C3—32no—
367C23×C3—68no—
368C23×C3C2×C4×D312yes—
369C22×D3—28no—
370C22×D3—32no—
371C22×D3—316no—
372C22×D3—38no—
373C22×D3—38no—
374C22×D3—32no—
375C22×D3—38no—
376C22×D3—38no—
377C22×D3—38no—
378C22×D3—61no—
379C22×D3—64no—
380C22×D3—61no—
381C22×D3—68no—
382C22×D3—664no—
383C22×D3—68no—
384C22×D3—68no—
385C22×D3—68no—
386C22×D3—124no—
387C22×D3C2×C4×D312yes—
388C22×D3C2×C4×D318yes—
389C22×D3C2×C4×D312yes—
390C2×C3×C4—22no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—22no—
394C2×C3×C4—38no—
395C2×C3×C4—32no—
396C2×C3×C4—32no—
397C2×C3×C4—34no—
398C2×C3×C4—38no—
399C2×C3×C4—38no—
400C2×C3×C4—34no—
401C2×C3×C4—34no—
402C2×C3×C4—34no—
403C2×C3×C4C2×C4×D314yes—
404C2×C3×C4C2×C4×D312yes—
405C2×C3×C4C23×D314yes—
406C2×C3×C4C23×D312yes—
407C2×Dic3—38no—
408C2×Dic3—32no—
409C2×Dic3—32no—
410C2×Dic3—38no—
411C2×Dic3—38no—
412C2×Dic3—38no—
413C2×Dic3—38no—
414C2×Dic3—61no—
415C2×Dic3—61no—
416C2×Dic3—64no—
417C2×Dic3C2×C4×D318yes—
418C2×Dic3C2×C4×D312yes—
419C2×Dic3C2×C4×D312yes—
420C4×D3—38no—
421C4×D3—38no—
422C4×D3—38no—
423C4×D3—38no—
424C4×D3—34no—
425C4×D3—38no—
426C4×D3—34no—
427C4×D3—38no—
428C4×D3—34no—
429C4×D3—34no—
430C4×D3—38no—
431C4×D3—38no—
432C4×D3—38no—
433C4×D3—38no—
434C4×D3—62no—
435C4×D3—64no—
436C4×D3—62no—
437C4×D3—64no—
438C4×D3—62no—
439C4×D3—62no—
440C4×D3C2×C4×D314yes—
441C4×D3C2×C4×D318yes—
442C4×D3C2×C4×D314yes—
443C4×D3C2×C4×D318yes—
444C4×D3C23×D314yes—
445C4×D3C23×D314yes—
446C3×C8—24no—
447C3×C8—38no—
448C3×C8C23×D318yescomplemented
449C3⋊C8—38no—
450C3⋊C8—64no—
451C3⋊C8C23×D318yescomplemented
452C2×C32—22no—
453C2×C32C22×M1612yescomplemented
454C2×C32C24×C411yescharacteristic
455C3⋊D3—22no—
456C3⋊D3C22×M1614yescomplemented
457C3×D3—24no—
458C3×D3C22×M1618yescomplemented
459C24—32no—
460C24—91no—
461C24—92no—
462C24—98no—
463C24—91no—
464C24—91no—
465C24—188no—
466C22×C4—32no—
467C22×C4—38no—
468C22×C4—32no—
469C22×C4—32no—
470C22×C4—32no—
471C22×C4—38no—
472C22×C4—32no—
473C22×C4—94no—
474C22×C4—98no—
475C22×C4—94no—
476C22×C4—91no—
477C22×C4—91no—
478C22×C4—98no—
479C22×C4—92no—
480C22×C4—94no—
481C22×C4—98no—
482C22×C4—916no—
483C22×C4—98no—
484C22×C4—98no—
485C22×C4—94no—
486C22×C4—92no—
487C22×C4—92no—
488C22×C4—916no—
489C22×C4—92no—
490C22×C4—92no—
491C22×C4—91no—
492C22×C4—94no—
493C22×C4—91no—
494C22×C4—91no—
495C22×C4—91no—
496C22×C4—94no—
497C22×C4—91no—
498C22×C4C2×D3211yescharacteristic
499M16—38no—
500M16—316no—
501M16—98no—
502M16—916no—
503M16—94no—
504M16—98no—
505M16C2×D3214yesdirect product factor
506C2×C8—34no—
507C2×C8—316no—
508C2×C8—98no—
509C2×C8—916no—
510C2×C8—92no—
511C2×C8—98no—
512C2×C8C2×D3212yescomplemented
513C22×C3—24no—
514C22×C3—21no—
515C22×C3—22no—
516C22×C3—34no—
517C22×C3—38no—
518C22×C3—34no—
519C22×C3—42no—
520C22×C3—616no—
521C22×C3—64no—
522C22×C3C22×C4×D314yes—
523C22×C3C22×C4×D312yes—
524C2×D3—24no—
525C2×D3—216no—
526C2×D3—34no—
527C2×D3—38no—
528C2×D3—332no—
529C2×D3—34no—
530C2×D3—62no—
531C2×D3—64no—
532C2×D3—62no—
533C2×D3—616no—
534C2×D3—616no—
535C2×D3—616no—
536C2×D3—64no—
537C2×D3—616no—
538C2×D3—128no—
539C2×D3—122no—
540C2×D3D3×M1618yesdirect product factor
541C2×D3C22×C4×D314yes—
542C2×D3C22×C4×D314yes—
543C3×C4—22no—
544C3×C4—21no—
545C3×C4—21no—
546C3×C4—34no—
547C3×C4—34no—
548C3×C4C22×C4×D314yes—
549C3×C4C22×C4×D312yes—
550C3×C4C24×D312yes—
551Dic3—34no—
552Dic3—34no—
553Dic3—62no—
554Dic3—62no—
555Dic3C22×C4×D314yes—
556Dic3C22×C4×D314yes—
557C32C23×M1611yescharacteristic, complemented, Sylow
558C23—32no—
559C23—38no—
560C23—32no—
561C23—68no—
562C23—94no—
563C23—98no—
564C23—98no—
565C23—94no—
566C23—91no—
567C23—94no—
568C23—91no—
569C23—184no—
570C23—188no—
571C23—1832no—
572C23—184no—
573C23C4×D3211yescharacteristic
574C2×C4—38no—
575C2×C4—32no—
576C2×C4—32no—
577C2×C4—38no—
578C2×C4—38no—
579C2×C4—34no—
580C2×C4—34no—
581C2×C4—34no—
582C2×C4—34no—
583C2×C4—94no—
584C2×C4—94no—
585C2×C4—98no—
586C2×C4—98no—
587C2×C4—98no—
588C2×C4—98no—
589C2×C4—98no—
590C2×C4—94no—
591C2×C4—91no—
592C2×C4—91no—
593C2×C4—94no—
594C2×C4—94no—
595C2×C4—92no—
596C2×C4—92no—
597C2×C4—92no—
598C2×C4—92no—
599C2×C4C4×D3211yescharacteristic
600C2×C4C4×D3212yes—
601C2×C4C22×D3212yes—
602C2×C4C22×D3211yescharacteristic
603C8—38no—
604C8—94no—
605C8C22×D3214yescomplemented
606C2×C3—24no—
607C2×C3—21no—
608C2×C3—22no—
609C2×C3—38no—
610C2×C3—42no—
611C2×C3—64no—
612C2×C3C2×D3×M1614yescomplemented
613C2×C3C23×C4×D312yes—
614D3—24no—
615D3—38no—
616D3—64no—
617D3—64no—
618D3—122no—
619D3C2×D3×M1618yesdirect product factor
620C22—22no—
621C22—34no—
622C22—38no—
623C22—34no—
624C22—616no—
625C22—64no—
626C22—916no—
627C22—92no—
628C22—94no—
629C22—92no—
630C22—188no—
631C22—1816no—
632C22—188no—
633C22—182no—
634C22C2×C4×D3212yes—
635C22C2×C4×D3211yescharacteristic
636C4—34no—
637C4—34no—
638C4—92no—
639C4—92no—
640C4C2×C4×D3212yes—
641C4C2×C4×D3211yescharacteristic
642C4C23×D3211yescharacteristic
643C3—21no—
644C3C22×D3×M1612yescomplemented
645C2—22no—
646C2—38no—
647C2—64no—
648C2—94no—
649C2—182no—
650C2D32×M1612yesdirect product factor
651C2C22×C4×D3211yescharacteristic
subgroupG/H
centerC2×C4C22×D32
commutatorC2×C32C24×C4
FrattiniC4C23×D32
FittingC2×C32×M16C22
socleC22×C32C23×C4
prime radicalC23×D32C4
cosocleC32×C4C25
hypercenterC2×M16D32
hypocenterC32C23×M16
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
2. C2×M16×C3⋊D3C2semidirect
3. C2×C3×D3×M16C2semidirect
4. C2×#63818C2semidirect
5. C2×D3×#208C2semidirect
6. D32×M16C2direct (N × H)
7. C2×#63791C2semidirect
8. C2×D3×ΓL(1,𝔽25)C2semidirect
9. C2×D32×C8C2semidirect
24. C2×C32×M16C22semidirect
25. C2×#3748C22semidirect
26. M16×C3⋊D3C22semidirect
27. C2×#3743C22semidirect
28. C2×C8×C3⋊D3C22semidirect
29. C2×C3×#208C22semidirect
30. C3×D3×M16C22semidirect
31. C2×C3×ΓL(1,𝔽25)C22semidirect
32. C2×C3×D3×C8C22semidirect
33. C2×#3712C22semidirect
34. C2×#3711C22semidirect
35. #63818C22semidirect
36. C2×#3710C22semidirect
37. D3×#208C22semidirect
38. C2×D3×C3⋊C8C22semidirect
39. #63791C22semidirect
40. D3×ΓL(1,𝔽25)C22semidirect
41. D32×C8C22semidirect
52. C2×D3×M16D3direct (N × H)
95. C32×M16C23semidirect
96. C2×C32×C8C23semidirect
97. #3748C23semidirect
98. C2×C3⋊(C3⋊C8)C23semidirect
99. #3743C23semidirect
100. C8×C3⋊D3C23semidirect
101. C3×#208C23semidirect
102. C2×C3×C3⋊C8C23semidirect
103. C3×ΓL(1,𝔽25)C23semidirect
104. C3×D3×C8C23semidirect
105. #3712C23semidirect
106. #3711C23semidirect
107. #3710C23semidirect
108. D3×C3⋊C8C23semidirect
132. C2×C3×M16C2×D3semidirect
138. C2×#208C2×D3semidirect
146. D3×M16C2×D3direct (N × H)
152. C2×ΓL(1,𝔽25)C2×D3semidirect
158. C2×D3×C8C2×D3semidirect
171. C2×D32M16direct (N × H)
204. C32×C8C24semidirect
205. C3⋊(C3⋊C8)C24semidirect
206. C3×C3⋊C8C24semidirect
286. C3×M16C22×D3semidirect
290. C2×C3×C8C22×D3semidirect
294. #208C22×D3semidirect
298. C2×C3⋊C8C22×D3semidirect
303. ΓL(1,𝔽25)C22×D3semidirect
308. D3×C8C22×D3semidirect
314. C2×C3⋊D3C2×M16semidirect
319. C2×C3×D3C2×M16semidirect
324. D32C2×M16direct (N × H)
357. C2×M16D32direct (N × H)
448. C3×C8C23×D3semidirect
451. C3⋊C8C23×D3semidirect
453. C2×C32C22×M16semidirect
456. C3⋊D3C22×M16semidirect
458. C3×D3C22×M16semidirect
505. M16C2×D32direct (N × H)
512. C2×C8C2×D32semidirect
540. C2×D3D3×M16direct (N × H)
557. C32C23×M16semidirect
605. C8C22×D32semidirect
612. C2×C3C2×D3×M16semidirect
619. D3C2×D3×M16direct (N × H)
644. C3C22×D3×M16semidirect
650. C2D32×M16direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D322
C2×M16×C3⋊D32
C2×C3×D3×M162
C2×#638182
C2×D3×#2082
D32×M162
C2×#637912
C2×D3×ΓL(1,𝔽25)2
C2×D32×C82
C22×D3×M163