Finite Group Databasebeta

← #11900154

Subgroups — #11900154

Order 1152.

3245 conjugacy classes of subgroups.

The subgroup lattice has 695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64306C211yesmaximal, characteristic
2C2×#64101C211yesmaximal, characteristic, complemented
3C3×#5504C212yesmaximal, complemented
4#10595058C214yesmaximal, complemented
5#10594992C212yesmaximal, complemented
6#10594969C211yesmaximal, characteristic, complemented
7C4×#3805C214yesmaximal, complemented
8#10594606C212yesmaximal, complemented
9D3×#892C214yesmaximal, complemented
10#10594511C212yesmaximal, complemented
11#10594509C212yesmaximal, complemented
12#10594360C214yesmaximal, complemented
13#10594347C212yesmaximal, complemented
14#85885—32nomaximal
15C22×C4×C3⋊D3C2211yescharacteristic
16C2×C3×#235C2212yes—
17C2×#3811C2212yes—
18C2×#3805C2212yes—
19#64306C4116yescomplemented
20C2×#3802C2211yescharacteristic
21C2×C4×D32C2212yes—
22C2×#3798C2212yes—
23C2×#3797C2211yescharacteristic
24C2×#3796C2212yes—
25C2×C32×C4⋊C4C2211yescharacteristic, complemented
26C2×#3752C2212yes—
27C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
28C2×C4×C3⋊Dic3C2212yescomplemented
29#64101C2212yes—
30#64101C2212yes—
31#64101C2212yescomplemented
32#64101C2212yescomplemented
33C3×C4×#67C2218yescomplemented
34C3×#926C2212yescomplemented
35C3×#893C2214yescomplemented
36C3×#892C2214yescomplemented
37C3×D3×C4⋊C4C2214yescomplemented
38C3×#887C2214yescomplemented
39#63974C2212yes—
40#67⋊Dic3C2218yescomplemented
41#63957C2212yescomplemented
42D3×(C2×D3)⋊C4C2218yes—
43C4×#627C2214yescomplemented
44#63904C2218yescomplemented
45#63902C2214yescomplemented
46C4×#625C2214yescomplemented
47#63900C2211yescharacteristic, complemented
48#63900C2211yescharacteristic, complemented
49Dic3×D12C2214yescomplemented
50D3×C4⋊Dic3C2214yescomplemented
51C4×#624C2212yescomplemented
52#63880C2218yescomplemented
53#63878C2218yescomplemented
54C4×D3×Dic3C2218yescomplemented
55#63874C2212yes—
56#63849C2212yes—
57Dic3×Dic6C2214yescomplemented
58#63841C2214yescomplemented
59#63838C2214yescomplemented
60#63836C2218yes—
61C2×D3×#41—32no—
62C3×#520—32no—
63#5827—32no—
64C4×#239—34no—
65#5572—34no—
66#5545—38no—
67#5545—34no—
68C4×#237—38no—
69C4×#237—34no—
70#5523—32no—
71#5523—34no—
72D3×#117—32no—
73D3×#117—34no—
74#5504—34no—
75#5504D312yescomplemented
76C2×#892—32no—
77C2×#892—34no—
78C2×#892—61no—
79C23×C3⋊D3C2311yescharacteristic
80C22×D32C2312yes—
81C22×C32×C4C2312yes—
82C22×C32×C4C2311yescharacteristic
83C22×C3⋊Dic3C2312yes—
84C22×C3⋊Dic3C2311yescharacteristic
85C2×C4×C3⋊D3C2×C418yescomplemented
86C2×C4×C3⋊D3C2311yescharacteristic
87C2×C4×C3⋊D3C2311yescharacteristic
88C2×C4×C3⋊D3C2311yescharacteristic
89C2×C4×C3⋊D3C2311yescharacteristic
90C2×C3×#67C2314yes—
91C3×#235C2×C4116yescomplemented
92C2×C3×D12C2312yes—
93C2×C3×C4×D3C2318yes—
94C2×C3×C4×D3C2314yes—
95C2×C3×Dic6C2312yes—
96#3811C2×C4116yescomplemented
97C2×#627C2312yes—
98C2×#626C2314yes—
99C2×#625C2312yes—
100C2×#624C2312yes—
101C2×#624C2312yes—
102C2×#624C2312yes—
103#3805C2×C4116yescomplemented
104C2×D3×Dic3C2318yes—
105C2×D3×Dic3C2314yes—
106#3802C2×C418yescomplemented
107C4×D32C2×C4116yescomplemented
108#3798C2×C4116yescomplemented
109#3797C2×C418yescomplemented
110#3796C2×C4116yescomplemented
111C32×C4⋊C4C2312yes—
112C32×C4⋊C4C2312yes—
113#3752C2314yes—
114#3752C2314yes—
115C4⋊(C3⋊Dic3)C2312yes—
116C4⋊(C3⋊Dic3)C2312yes—
117C4×C3⋊Dic3C2314yes—
118C4×C3⋊Dic3C2314yes—
119C3×#217C2314yes—
120C3×(C2×D3)⋊C4C2318yes—
121C3×C4⋊Dic3C2312yes—
122C3×C4⋊Dic3C2312yes—
123C3×Dic3⋊C4C2318yes—
124C3×C4×Dic3C2318yes—
125C3×C4×Dic3C2314yes—
126#3724C2312yes—
127#3724C2312yes—
128Dic3⋊Dic3C2318yes—
129#3722C2314yes—
130(C2×D3)⋊Dic3C2318yes—
131Dic32C2318yes—
132Dic32C2314yes—
133#3428—91noSylow
134C2×C3×#41—32no—
135D3×#41—332no—
136C2×#239—32no—
137C2×D3×Q8—32no—
138C2×#237—34no—
139C2×#237—32no—
140C2×D3×D4—34no—
141C2×D3×D4—32no—
142C2×#235—34no—
143C2×#235C2×D312yes—
144C22×C4×D3—32no—
145C22×C4×D3—34no—
146C22×C4×D3—61no—
147C3×C4×Q8—34no—
148C3×C4×D4—38no—
149C3×C4×D4—34no—
150C3×#117—32no—
151C3×#117—34no—
152C2×C3×C4⋊C4—21no—
153C2×C3×C4⋊C4—34no—
154C2×C3×C4⋊C4C2×D312yescomplemented
155Q8×Dic3—34no—
156D4×Dic3—38no—
157D4×Dic3—34no—
158C4×#67—38no—
159C4×#67—38no—
160C4×#67C2×D318yescomplemented
161C2×(C2×D3)⋊C4—34no—
162C2×(C2×D3)⋊C4—38no—
163C2×(C2×D3)⋊C4—62no—
164#926—34no—
165#926C2×D312yescomplemented
166C2×C4⋊Dic3—32no—
167C2×C4⋊Dic3—34no—
168C2×C4⋊Dic3—61no—
169C2×C4×Dic3—34no—
170C2×C4×Dic3—38no—
171C2×C4×Dic3—62no—
172#893—38no—
173#893C2×D314yescomplemented
174#892—34no—
175#892—34no—
176#892—34no—
177#892—34no—
178#892—34no—
179#892—38no—
180#892—32no—
181#892—32no—
182#892—38no—
183#892—62no—
184#892—62no—
185#892—62no—
186#892—62no—
187#892C2×D314yescomplemented
188D3×C4⋊C4—34no—
189D3×C4⋊C4—32no—
190D3×C4⋊C4—32no—
191D3×C4⋊C4C2×D314yescomplemented
192#887—38no—
193#887C2×D314yescomplemented
194#67⋊C4—38no—
195#67⋊C4—38no—
196#67⋊C4—38no—
197D3×C22⋊C4—38no—
198D3×C22⋊C4—34no—
199#877—34no—
200#877—38no—
201C4×D12—34no—
202C4×D12—38no—
203#872—38no—
204#872—34no—
205C42×D3—38no—
206C42×D3—34no—
207C4×Dic6—34no—
208C4×Dic6—38no—
209C23×C32C2411yescharacteristic
210C22×C3⋊D3—41no—
211C22×C3⋊D3—41no—
212C22×C3⋊D3C22×C414yes—
213C22×C3⋊D3C2411yescharacteristic
214C22×C3⋊D3C2411yescharacteristic
215C22×C3×D3C2414yes—
216C2×D32—42no—
217C2×D32—42no—
218C2×D32C22×C418yes—
219C2×C32×C4—42no—
220C2×C32×C4C22×C414yes—
221C2×C32×C4C2414yes—
222C2×C32×C4C2411yescharacteristic
223C2×C32×C4C2411yescharacteristic
224C2×C3⋊Dic3—42no—
225C2×C3⋊Dic3C22×C414yes—
226C2×C3⋊Dic3C2414yes—
227C2×C3⋊Dic3C2411yescharacteristic
228C2×C3⋊Dic3C2411yescharacteristic
229C4×C3⋊D3C22×C414yes—
230C4×C3⋊D3C22×C414yes—
231C4×C3⋊D3C22×C414yes—
232C4×C3⋊D3C22×C414yes—
233C3×#67C22×C4116yes—
234C2×C3×Dic3C2414yes—
235C2×C3×Dic3C2414yes—
236C2×C3×Dic3C2414yes—
237C3×D12C22×C418yes—
238C3×C4×D3—48no—
239C3×C4×D3C22×C4116yes—
240C3×Dic6C22×C418yes—
241#627C22×C418yes—
242#626C22×C4116yes—
243#625C22×C418yes—
244#624—42no—
245#624—42no—
246#624C22×C418yes—
247D3×Dic3—48no—
248D3×Dic3C22×C4116yes—
249C22×#41—91no—
250#520—32no—
251#520—92no—
252#520—92no—
253#520—92no—
254#519—92no—
255#518—94no—
256#518—92no—
257C4×#41—94no—
258C4×#41—94no—
259C2×#117—94no—
260C2×#117—91no—
261C2×#117—91no—
262C23×D3—32no—
263C23×D3—34no—
264C23×D3—61no—
265C3×#41—316no—
266C2×C3×Q8—32no—
267C2×C3×D4—34no—
268C2×C3×D4—32no—
269C22×C3×C4—21no—
270C22×C3×C4—22no—
271C22×C3×C4—34no—
272C22×C3×C4—38no—
273C22×C3×C4C22×D314yes—
274C22×C3×C4C22×D312yes—
275C2×#67—34no—
276C2×#67—34no—
277C2×#67C22×D314yes—
278C22×Dic3—32no—
279C22×Dic3—34no—
280C22×Dic3—34no—
281C22×Dic3—38no—
282C22×Dic3—61no—
283C22×Dic3—62no—
284#239—316no—
285D3×Q8—316no—
286#237—332no—
287#237—316no—
288D3×D4—332no—
289D3×D4—316no—
290#235—332no—
291#235C4×D3116yescomplemented
292C2×D12—34no—
293C2×D12C22×D312yes—
294C2×C4×D3—34no—
295C2×C4×D3—316no—
296C2×C4×D3—32no—
297C2×C4×D3—32no—
298C2×C4×D3—32no—
299C2×C4×D3—32no—
300C2×C4×D3—34no—
301C2×C4×D3—332no—
302C2×C4×D3—38no—
303C2×C4×D3—34no—
304C2×C4×D3—34no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—68no—
310C2×C4×D3C22×D318yes—
311C2×C4×D3C22×D314yes—
312C2×Dic6—34no—
313C2×Dic6C22×D312yes—
314C3×C4⋊C4—22no—
315C3×C4⋊C4—22no—
316C3×C4⋊C4—38no—
317C3×C4⋊C4—32no—
318C3×C4⋊C4—32no—
319C3×C4⋊C4C22×D314yes—
320C3×C4⋊C4C22×D314yes—
321C3×C22⋊C4—34no—
322C3×C22⋊C4—38no—
323C3×C42—38no—
324C3×C42—34no—
325#217—38no—
326#217C22×D314yes—
327(C2×D3)⋊C4—38no—
328(C2×D3)⋊C4—38no—
329(C2×D3)⋊C4—38no—
330(C2×D3)⋊C4—34no—
331(C2×D3)⋊C4—34no—
332(C2×D3)⋊C4—64no—
333(C2×D3)⋊C4—64no—
334(C2×D3)⋊C4C22×D318yes—
335C4⋊Dic3—34no—
336C4⋊Dic3—34no—
337C4⋊Dic3—38no—
338C4⋊Dic3—62no—
339C4⋊Dic3—62no—
340C4⋊Dic3C22×D312yes—
341C4⋊Dic3C22×D312yes—
342Dic3⋊C4—38no—
343Dic3⋊C4—34no—
344Dic3⋊C4—34no—
345Dic3⋊C4C22×D318yes—
346C4×Dic3—38no—
347C4×Dic3—38no—
348C4×Dic3—38no—
349C4×Dic3—34no—
350C4×Dic3—38no—
351C4×Dic3—34no—
352C4×Dic3—64no—
353C4×Dic3—64no—
354C4×Dic3C22×D318yes—
355C4×Dic3C22×D314yes—
356C22×C32—21no—
357C22×C32—21no—
358C22×C32C23×C412yes—
359C22×C32C2511yescharacteristic
360C2×C3⋊D3—21no—
361C2×C3⋊D3—21no—
362C2×C3⋊D3—21no—
363C2×C3⋊D3—21no—
364C2×C3⋊D3—44no—
365C2×C3⋊D3C23×C412yes—
366C2×C3⋊D3C23×C412yes—
367C2×C3×D3—24no—
368C2×C3×D3—24no—
369C2×C3×D3C23×C418yes—
370D32—48no—
371C32×C4—24no—
372C32×C4C23×C412yes—
373C32×C4C23×C412yes—
374C3⋊Dic3—24no—
375C3⋊Dic3C23×C412yes—
376C3⋊Dic3C23×C412yes—
377C3×Dic3—24no—
378C3×Dic3—24no—
379C3×Dic3C23×C418yes—
380C2×#41—32no—
381C2×#41—92no—
382C2×#41—92no—
383C2×#41—92no—
384C2×#41—916no—
385C22×Q8—91no—
386C22×D4—92no—
387C22×D4—91no—
388C23×C4—92no—
389C23×C4—91no—
390C4×Q8—34no—
391C4×Q8—94no—
392C4×Q8—94no—
393C4×Q8—94no—
394C4×D4—38no—
395C4×D4—34no—
396C4×D4—98no—
397C4×D4—94no—
398C4×D4—94no—
399C4×D4—98no—
400C4×D4—98no—
401C4×D4—94no—
402#117—32no—
403#117—34no—
404#117—92no—
405#117—98no—
406#117—92no—
407#117—98no—
408#117—92no—
409#117—94no—
410#117—92no—
411#117—92no—
412#117—92no—
413#117—92no—
414C2×C4⋊C4—34no—
415C2×C4⋊C4—91no—
416C2×C4⋊C4—91no—
417C2×C4⋊C4—94no—
418C2×C4⋊C4—91no—
419C2×C4⋊C4D3211yescharacteristic, complemented
420C2×C22⋊C4—92no—
421C2×C22⋊C4—98no—
422C2×C22⋊C4—92no—
423C2×C42—92no—
424C2×C42—98no—
425C2×C42—92no—
426C23×C3—21no—
427C23×C3—34no—
428C23×C3C23×D312yes—
429C22×D3—32no—
430C22×D3—32no—
431C22×D3—38no—
432C22×D3—316no—
433C22×D3—64no—
434C22×D3—61no—
435C22×D3—61no—
436C22×D3—124no—
437C22×D3—124no—
438C22×D3—122no—
439C22×D3—122no—
440C22×D3—122no—
441C22×D3—122no—
442C22×D3C23×D314yes—
443C3×Q8—38no—
444C3×D4—316no—
445C3×D4—38no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—24no—
449C2×C3×C4—24no—
450C2×C3×C4—34no—
451C2×C3×C4—316no—
452C2×C3×C4—34no—
453C2×C3×C4—34no—
454C2×C3×C4—44no—
455C2×C3×C4—44no—
456C2×C3×C4—128no—
457C2×C3×C4C2×C4×D318yes—
458C2×C3×C4C23×D318yes—
459C2×C3×C4C23×D312yes—
460C2×C3×C4C23×D312yes—
461#67—316no—
462#67—316no—
463#67C2×C4×D3116yes—
464C2×Dic3—38no—
465C2×Dic3—32no—
466C2×Dic3—32no—
467C2×Dic3—316no—
468C2×Dic3—38no—
469C2×Dic3—64no—
470C2×Dic3—61no—
471C2×Dic3—61no—
472C2×Dic3—64no—
473C2×Dic3—128no—
474C2×Dic3—124no—
475C2×Dic3—124no—
476C2×Dic3C23×D314yes—
477C2×Dic3C23×D314yes—
478C2×Dic3C23×D314yes—
479D12—316no—
480D12C2×C4×D318yes—
481C4×D3—316no—
482C4×D3—38no—
483C4×D3—38no—
484C4×D3—38no—
485C4×D3—38no—
486C4×D3—316no—
487C4×D3—48no—
488C4×D3—64no—
489C4×D3—64no—
490C4×D3—64no—
491C4×D3—64no—
492C4×D3—124no—
493C4×D3—124no—
494C4×D3—128no—
495C4×D3C2×C4×D3116yes—
496Dic6—316no—
497Dic6C2×C4×D318yes—
498C2×C32—22no—
499C2×C32C24×C411yescharacteristic
500C2×C32#58511yescharacteristic
501C2×C32#58511yescharacteristic
502C3⋊D3—22no—
503C3⋊D3—22no—
504C3×D3—28no—
505C24—92no—
506C24—91no—
507#41—316no—
508#41—916no—
509#41—916no—
510#41—916no—
511C2×Q8—32no—
512C2×Q8—92no—
513C2×Q8—98no—
514C2×D4—34no—
515C2×D4—32no—
516C2×D4—94no—
517C2×D4—916no—
518C2×D4—98no—
519C2×D4—92no—
520C22×C4—34no—
521C22×C4—38no—
522C22×C4—92no—
523C22×C4—916no—
524C22×C4—92no—
525C22×C4—92no—
526C22×C4—94no—
527C22×C4—98no—
528C22×C4—91no—
529C22×C4—91no—
530C22×C4—91no—
531C22×C4—91no—
532C22×C4—91no—
533C22×C4—98no—
534C22×C4—92no—
535C22×C4C2×D3212yes—
536C22×C4C2×D3211yescharacteristic
537C4⋊C4—32no—
538C4⋊C4—38no—
539C4⋊C4—32no—
540C4⋊C4—92no—
541C4⋊C4—92no—
542C4⋊C4—98no—
543C4⋊C4—92no—
544C4⋊C4—92no—
545C4⋊C4C2×D3212yes—
546C4⋊C4C2×D3212yes—
547C22⋊C4—34no—
548C22⋊C4—38no—
549C22⋊C4—94no—
550C22⋊C4—98no—
551C22⋊C4—94no—
552C22⋊C4—94no—
553C42—38no—
554C42—34no—
555C42—94no—
556C42—98no—
557C42—94no—
558C42—94no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—21no—
565C22×C3—38no—
566C22×C3—64no—
567C22×C3—64no—
568C22×C3C22×C4×D314yes—
569C22×C3C24×D312yes—
570C2×D3—24no—
571C2×D3—24no—
572C2×D3—34no—
573C2×D3—34no—
574C2×D3—62no—
575C2×D3—62no—
576C2×D3—62no—
577C2×D3—62no—
578C2×D3—62no—
579C2×D3—62no—
580C2×D3—121no—
581C2×D3—121no—
582C2×D3—121no—
583C2×D3—121no—
584C2×D3—1216no—
585C2×D3—128no—
586C2×D3—128no—
587C2×D3C22×C4×D318yes—
588C3×C4—28no—
589C3×C4—22no—
590C3×C4—22no—
591C3×C4—38no—
592C3×C4—44no—
593C3×C4—64no—
594C3×C4—64no—
595C3×C4C22×C4×D314yes—
596C3×C4C22×C4×D314yes—
597Dic3—24no—
598Dic3—24no—
599Dic3—34no—
600Dic3—34no—
601Dic3—62no—
602Dic3—62no—
603Dic3—68no—
604Dic3—124no—
605Dic3C22×C4×D318yes—
606C32#342811yescharacteristic, complemented, Sylow
607C23—34no—
608C23—98no—
609C23—91no—
610C23—91no—
611C23—94no—
612C23—361no—
613C23—361no—
614C23—362no—
615C23—362no—
616C23C22×D3211yescharacteristic
617Q8—38no—
618Q8—98no—
619D4—316no—
620D4—38no—
621D4—916no—
622D4—98no—
623C2×C4—34no—
624C2×C4—316no—
625C2×C4—34no—
626C2×C4—34no—
627C2×C4—42no—
628C2×C4—98no—
629C2×C4—916no—
630C2×C4—94no—
631C2×C4—91no—
632C2×C4—91no—
633C2×C4—94no—
634C2×C4—94no—
635C2×C4—94no—
636C2×C4—94no—
637C2×C4—94no—
638C2×C4—128no—
639C2×C4—362no—
640C2×C4—362no—
641C2×C4—368no—
642C2×C4—362no—
643C2×C4C4×D3214yes—
644C2×C4C22×D3214yes—
645C2×C4C22×D3211yescharacteristic
646C2×C4C22×D3211yescharacteristic
647C2×C3—24no—
648C2×C3—24no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—68no—
653C2×C3C23×C4×D312yes—
654C2×C3#596612yes—
655C2×C3#596812yes—
656D3—28no—
657D3—64no—
658D3—64no—
659D3—122no—
660D3—122no—
661C22—21no—
662C22—21no—
663C22—38no—
664C22—64no—
665C22—64no—
666C22—92no—
667C22—92no—
668C22—181no—
669C22—181no—
670C22—181no—
671C22—181no—
672C22—364no—
673C22—368no—
674C22C2×C4×D3212yes—
675C22C23×D3211yescharacteristic
676C4—24no—
677C4—38no—
678C4—64no—
679C4—64no—
680C4—92no—
681C4—92no—
682C4—184no—
683C4C2×C4×D3212yes—
684C4C2×C4×D3212yes—
685C3—21no—
686C3#8588512yescomplemented
687C2—22no—
688C2—68no—
689C2—182no—
690C2—182no—
691C2C22×C4×D3211yescharacteristic
692C2#1059667911yescharacteristic
693C2#1059668911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutatorC2×C32C24×C4
FittingC2×C32×C4⋊C4C22
socle, cosocleC22×C32C25
prime radicalC2×#64306C2
hypercenterC2×C4⋊C4D32
hypocenterC32#3428
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#64101C2semidirect
3. C3×#5504C2semidirect
4. #10595058C2semidirect
5. #10594992C2semidirect
6. #10594969C2semidirect
7. C4×#3805C2semidirect
8. #10594606C2semidirect
9. D3×#892C2semidirect
10. #10594511C2semidirect
11. #10594509C2semidirect
12. #10594360C2semidirect
13. #10594347C2semidirect
19. #64306C4semidirect
25. C2×C32×C4⋊C4C22semidirect
27. C2×C4⋊(C3⋊Dic3)C22semidirect
28. C2×C4×C3⋊Dic3C22semidirect
31. #64101C22semidirect
32. #64101C22semidirect
33. C3×C4×#67C22semidirect
34. C3×#926C22semidirect
35. C3×#893C22semidirect
36. C3×#892C22semidirect
37. C3×D3×C4⋊C4C22semidirect
38. C3×#887C22semidirect
40. #67⋊Dic3C22semidirect
41. #63957C22semidirect
43. C4×#627C22semidirect
44. #63904C22semidirect
45. #63902C22semidirect
46. C4×#625C22semidirect
47. #63900C22semidirect
48. #63900C22semidirect
49. Dic3×D12C22semidirect
50. D3×C4⋊Dic3C22semidirect
51. C4×#624C22semidirect
52. #63880C22semidirect
53. #63878C22semidirect
54. C4×D3×Dic3C22semidirect
57. Dic3×Dic6C22semidirect
58. #63841C22semidirect
59. #63838C22semidirect
75. #5504D3semidirect
85. C2×C4×C3⋊D3C2×C4semidirect
91. C3×#235C2×C4semidirect
96. #3811C2×C4semidirect
103. #3805C2×C4semidirect
106. #3802C2×C4semidirect
107. C4×D32C2×C4semidirect
108. #3798C2×C4semidirect
109. #3797C2×C4semidirect
110. #3796C2×C4semidirect
154. C2×C3×C4⋊C4C2×D3semidirect
160. C4×#67C2×D3semidirect
165. #926C2×D3semidirect
173. #893C2×D3semidirect
187. #892C2×D3semidirect
191. D3×C4⋊C4C2×D3semidirect
193. #887C2×D3semidirect
291. #235C4×D3semidirect
419. C2×C4⋊C4D32semidirect
606. C32#3428semidirect
686. C3#85885semidirect

Maximal subgroups

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

subgroupindex
C2×#643062
C2×#641012
C3×#55042
#105950582
#105949922
#105949692
C4×#38052
#105946062
D3×#8922
#105945112
#105945092
#105943602
#105943472
#858853