Finite Group Databasebeta

← #11903319

Subgroups — #11903319

Order 1152.

2693 conjugacy classes of subgroups.

The subgroup lattice has 713 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C3×#5563C212yesmaximal, complemented
3#10595282C212yesmaximal, complemented
4#10595253C212yesmaximal, complemented
5#10595081C212yesmaximal, complemented
6#10594969C212yesmaximal, complemented
7#10594961C214yesmaximal, complemented
8#10594602C212yesmaximal, complemented
9#10594575C212yesmaximal, complemented
10#10594288C214yesmaximal, complemented
11#10594150C214yesmaximal, complemented
12C4×#3802C211yesmaximal, characteristic, complemented
13#10593987C212yesmaximal, complemented
14#10593909C211yesmaximal, characteristic, complemented
15D3×#555—32nomaximal
16C2×D4×C3⋊D3C2211yescharacteristic
17C22×C4×C3⋊D3C2212yes—
18C2×#3811C2214yes—
19C2×#3802C2211yescharacteristic
20C2×C4×D32C2212yes—
21C2×#3797C2212yes—
22C32×C4×D4C2211yescharacteristic, complemented
23D4×C3⋊Dic3C2211yescharacteristic, complemented
24C4×#638C2212yescomplemented
25#64102C2211yescharacteristic, complemented
26C4⋊C4×C3⋊D3C2211yescharacteristic
27#64090C2212yescomplemented
28C22⋊C4×C3⋊D3C2212yes—
29C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
30C42×C3⋊D3C2211yescharacteristic
31C3×#938C2214yescomplemented
32C3×#930C2214yescomplemented
33C3×#926C2214yescomplemented
34C3×#892C2214yescomplemented
35C3×#885C2218yescomplemented
36C3×C4×D12C2212yescomplemented
37C3×#869C2212yescomplemented
38#63980C2214yescomplemented
39#63974C2214yes—
40#63971C2218yescomplemented
41#63959C2218yescomplemented
42#63957C2214yescomplemented
43#63921C2214yes—
44#63921C2212yes—
45#63919C2212yescomplemented
46#63919C2212yescomplemented
47#63916C2214yescomplemented
48#63912C2214yescomplemented
49#63909C2214yescomplemented
50#63907C2218yescomplemented
51#63902C2212yescomplemented
52C4×#625C2212yescomplemented
53#63900C2212yes—
54#63900C2212yes—
55#63900C2211yescharacteristic
56#63898C2212yescomplemented
57C4×#624C2214yes—
58#63877C2218yescomplemented
59#63874C2214yescomplemented
60#63873C2212yescomplemented
61#63852C2218yescomplemented
62#63849C2214yescomplemented
63#63841C2214yescomplemented
64C3×#555—32no—
65#5734—32no—
66D3×C4⋊Q8—32no—
67D3×#124—38no—
68#5670—38no—
69#5616—34no—
70#5616—34no—
71D3×#121—34no—
72D3×#121—34no—
73#5563—32no—
74#5563D312yescomplemented
75C4×D3×D4—32no—
76C4×D3×D4—32no—
77C4×D3×D4—61no—
78#5532—34no—
79#5532—34no—
80D3×#117—34no—
81D3×#117—34no—
82C23×C3⋊D3C2312yes—
83C22×D32C2312yes—
84C2×C32×D4C2311yescharacteristic
85C22×C32×C4C2312yes—
86C2×#638C2312yes—
87C22×C3⋊Dic3C2312yes—
88D4×C3⋊D3—24no—
89C2×C4⋊(C3⋊D3)C2311yescharacteristic
90C2×C4×C3⋊D3—28no—
91C2×C4×C3⋊D3C2311yescharacteristic
92C2×C4×C3⋊D3C2312yes—
93C2×C4×C3⋊D3C2312yes—
94C2×C4×C3⋊D3C2312yes—
95C2×C4×C3⋊D3C2311yescharacteristic
96C2×C4×C3⋊D3C2311yescharacteristic
97C2×C3×#67C2318yes—
98C2×C3×D12C2312yes—
99C2×C3×C4×D3C2314yes—
100C2×C3×Dic6C2314yes—
101#3811—48no—
102C2×#627C2314yes—
103C2×#626C2318yes—
104C2×#625C2312yes—
105C2×#624C2314yes—
106C2×#624C2312yes—
107C2×D3×Dic3C2314yes—
108#3802—24no—
109C4×D32—28no—
110#3797—44no—
111C32×C4⋊C4C2311yescharacteristic
112C32×C22⋊C4C2312yes—
113C32×C42C2311yescharacteristic
114#3757C2312yes—
115#3752C2312yes—
116#3752C2312yes—
117C4⋊(C3⋊Dic3)C2311yescharacteristic
118#3750C2312yes—
119C4×C3⋊Dic3C2311yescharacteristic
120C4×C3⋊Dic3C2311yescharacteristic
121C4×C3⋊Dic3C2311yescharacteristic
122C3×#217C2318yes—
123C3×(C2×D3)⋊C4C2314yes—
124C3×(C2×D3)⋊C4C2318yes—
125C3×C4⋊Dic3C2314yes—
126C3×C4⋊Dic3C2312yes—
127C3×C4⋊Dic3C2314yes—
128C3×C4×Dic3C2318yes—
129#3724C2314yes—
130#3724C2314yes—
131#3724C2312yes—
132#3722C2318yes—
133(C2×D3)⋊Dic3C2318yes—
134(C2×D3)⋊Dic3C2314yes—
135Dic32C2318yes—
136C2×#555—91noSylow
137C2×D3×Q8—34no—
138C2×D3×D4—32no—
139C2×D3×D4—38no—
140C2×D3×D4—32no—
141C2×D3×D4—61no—
142C22×C4×D3—34no—
143C22×C4×D3—34no—
144C22×C4×D3—62no—
145C3×C4⋊Q8—32no—
146C3×#124—38no—
147C3×#121—34no—
148C3×#121—34no—
149C3×C4×D4—21no—
150C3×C4×D4—32no—
151C3×C4×D4C2×D312yescomplemented
152C3×#117—34no—
153C3×#117—34no—
154#947—38no—
155#944—34no—
156#939—38no—
157#939—38no—
158#938—34no—
159#938C2×D314yescomplemented
160#936—38no—
161D4×Dic3—32no—
162D4×Dic3—32no—
163D4×Dic3—61no—
164#930—34no—
165#930C2×D314yescomplemented
166C4×#67—34no—
167C4×#67—34no—
168C4×#67—62no—
169#926—34no—
170#926C2×D314yescomplemented
171#895—34no—
172#895—34no—
173#893—32no—
174#893—32no—
175#893—61no—
176#892—34no—
177#892—34no—
178#892—34no—
179#892C2×D314yescomplemented
180D3×C4⋊C4—32no—
181D3×C4⋊C4—34no—
182D3×C4⋊C4—34no—
183D3×C4⋊C4—32no—
184D3×C4⋊C4—61no—
185#888—34no—
186#888—34no—
187#885—38no—
188#885—38no—
189#885—38no—
190#885C2×D318yescomplemented
191#884—38no—
192#884—38no—
193#67⋊C4—34no—
194#67⋊C4—34no—
195#67⋊C4—62no—
196D3×C22⋊C4—34no—
197D3×C22⋊C4—38no—
198D3×C22⋊C4—34no—
199D3×C22⋊C4—38no—
200D3×C22⋊C4—62no—
201#877—38no—
202#877—38no—
203#875—38no—
204C4×D12—32no—
205C4×D12—61no—
206C4×D12C2×D312yescomplemented
207#872—38no—
208#872—38no—
209C42×D3—32no—
210C42×D3—38no—
211C42×D3—61no—
212#869C2×D312yescomplemented
213C23×C32C2412yes—
214C22×C3⋊D3—24no—
215C22×C3⋊D3—24no—
216C22×C3⋊D3—24no—
217C22×C3⋊D3C2412yes—
218C22×C3⋊D3C2411yescharacteristic
219C22×C3×D3C2414yes—
220C2×D32—24no—
221C2×D32—24no—
222C2×D32—24no—
223C32×D4—22no—
224C2×C32×C4—24no—
225C2×C32×C4C2412yes—
226C2×C32×C4C2411yescharacteristic
227C2×C32×C4C2411yescharacteristic
228C2×C32×C4C2411yescharacteristic
229#638—24no—
230C2×C3⋊Dic3—24no—
231C2×C3⋊Dic3C2412yes—
232C2×C3⋊Dic3C2411yescharacteristic
233C2×C3⋊Dic3C2411yescharacteristic
234C2×C3⋊Dic3C2411yescharacteristic
235C4⋊(C3⋊D3)—22no—
236C4×C3⋊D3—24no—
237C4×C3⋊D3—22no—
238C4×C3⋊D3—24no—
239C4×C3⋊D3—24no—
240C4×C3⋊D3#4114yes—
241C4×C3⋊D3#4114yes—
242C3×#67—48no—
243C2×C3×Dic3C2414yes—
244C2×C3×Dic3C2418yes—
245C3×D12—24no—
246C3×C4×D3—28no—
247C3×Dic6—44no—
248#627—44no—
249#626—48no—
250#625—24no—
251#624—24no—
252#624—28no—
253D3×Dic3—28no—
254#555—32no—
255#555—92no—
256#555—94no—
257#555—92no—
258#555—92no—
259#555—94no—
260C2×C4⋊Q8—91no—
261C2×#124—94no—
262C2×#121—92no—
263C2×#121—92no—
264C2×C4×D4—91no—
265C2×C4×D4—91no—
266C2×#117—92no—
267C2×#117—92no—
268C23×D3—34no—
269C23×D3—34no—
270C23×D3—62no—
271C2×C3×Q8—34no—
272C2×C3×D4—21no—
273C2×C3×D4—38no—
274C2×C3×D4—32no—
275C2×C3×D4C22×D312yes—
276C22×C3×C4—22no—
277C22×C3×C4—34no—
278C22×C3×C4C22×D314yes—
279C2×#67—34no—
280C2×#67—34no—
281C2×#67—38no—
282C2×#67—62no—
283C2×#67C22×D318yes—
284C22×Dic3—34no—
285C22×Dic3—34no—
286C22×Dic3—62no—
287D3×Q8—128no—
288D3×D4—68no—
289D3×D4—68no—
290D3×D4—68no—
291D3×D4—1216no—
292C2×D12—32no—
293C2×D12—38no—
294C2×D12—61no—
295C2×D12C22×D312yes—
296C2×C4×D3—32no—
297C2×C4×D3—32no—
298C2×C4×D3—34no—
299C2×C4×D3—34no—
300C2×C4×D3—32no—
301C2×C4×D3—34no—
302C2×C4×D3—34no—
303C2×C4×D3—34no—
304C2×C4×D3—38no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—62no—
309C2×C4×D3—62no—
310C2×C4×D3—62no—
311C2×C4×D3—616no—
312C2×C4×D3—616no—
313C2×C4×D3—128no—
314C2×C4×D3C22×D314yes—
315C2×Dic6—38no—
316C2×Dic6C22×D314yes—
317C3×C4⋊C4—21no—
318C3×C4⋊C4—34no—
319C3×C4⋊C4—34no—
320C3×C4⋊C4—32no—
321C3×C4⋊C4C22×D312yes—
322C3×C22⋊C4—22no—
323C3×C22⋊C4—38no—
324C3×C22⋊C4—38no—
325C3×C22⋊C4—34no—
326C3×C22⋊C4C22×D314yes—
327C3×C42—21no—
328C3×C42—38no—
329C3×C42C22×D312yes—
330#217—34no—
331#217—38no—
332#217—34no—
333#217—62no—
334#217C22×D318yes—
335(C2×D3)⋊C4—38no—
336(C2×D3)⋊C4—34no—
337(C2×D3)⋊C4—34no—
338(C2×D3)⋊C4—34no—
339(C2×D3)⋊C4—38no—
340(C2×D3)⋊C4—38no—
341(C2×D3)⋊C4—62no—
342(C2×D3)⋊C4—62no—
343(C2×D3)⋊C4C22×D318yes—
344(C2×D3)⋊C4C22×D314yes—
345C4⋊Dic3—32no—
346C4⋊Dic3—61no—
347C4⋊Dic3C22×D314yes—
348C4⋊Dic3C22×D314yes—
349C4⋊Dic3C22×D312yes—
350Dic3⋊C4—34no—
351Dic3⋊C4—34no—
352Dic3⋊C4—38no—
353Dic3⋊C4—38no—
354Dic3⋊C4—62no—
355C4×Dic3—32no—
356C4×Dic3—32no—
357C4×Dic3—32no—
358C4×Dic3—38no—
359C4×Dic3—38no—
360C4×Dic3—61no—
361C4×Dic3—61no—
362C4×Dic3—61no—
363C4×Dic3C22×D318yes—
364C22×C32—22no—
365C22×C32—22no—
366C22×C32—22no—
367C22×C32C2511yescharacteristic
368C2×C3⋊D3—22no—
369C2×C3⋊D3—22no—
370C2×C3⋊D3—22no—
371C2×C3⋊D3—48no—
372C2×C3⋊D3C2×#4112yes—
373C2×C3⋊D3C2×#4112yes—
374C2×C3⋊D3H(5,𝔽2)12yes—
375C2×C3×D3—24no—
376C2×C3×D3—24no—
377C2×C3×D3—24no—
378D32—48no—
379C32×C4—22no—
380C32×C4—21no—
381C32×C4C2×#4112yes—
382C32×C4C2×#4112yes—
383C3⋊Dic3—22no—
384C3⋊Dic3—21no—
385C3⋊Dic3C2×#4112yes—
386C3⋊Dic3C2×#4112yes—
387C3×Dic3—24no—
388C3×Dic3—28no—
389C22×Q8—92no—
390C22×D4—91no—
391C22×D4—94no—
392C22×D4—91no—
393C23×C4—92no—
394C23×C4—92no—
395C4⋊Q8—32no—
396C4⋊Q8—92no—
397C4⋊Q8—92no—
398C4⋊Q8—92no—
399#124—38no—
400#124—98no—
401#124—98no—
402#124—98no—
403#121—34no—
404#121—34no—
405#121—94no—
406#121—98no—
407#121—94no—
408#121—94no—
409#121—94no—
410C4×D4—32no—
411C4×D4—92no—
412C4×D4—92no—
413C4×D4—92no—
414C4×D4—91no—
415C4×D4—92no—
416C4×D4—91no—
417C4×D4—92no—
418C4×D4—91no—
419C4×D4D3211yescharacteristic, complemented
420#117—34no—
421#117—34no—
422#117—94no—
423#117—98no—
424#117—94no—
425#117—94no—
426#117—94no—
427C2×C4⋊C4—91no—
428C2×C4⋊C4—92no—
429C2×C4⋊C4—92no—
430C2×C4⋊C4—91no—
431C2×C22⋊C4—94no—
432C2×C22⋊C4—94no—
433C2×C22⋊C4—92no—
434C2×C22⋊C4—92no—
435C2×C42—94no—
436C2×C42—91no—
437C23×C3—22no—
438C23×C3—34no—
439C23×C3C23×D314yes—
440C22×D3—32no—
441C22×D3—34no—
442C22×D3—61no—
443C22×D3—62no—
444C22×D3—68no—
445C22×D3—68no—
446C22×D3—68no—
447C22×D3—68no—
448C22×D3—68no—
449C22×D3—68no—
450C22×D3—68no—
451C22×D3—124no—
452C22×D3—124no—
453C22×D3C23×D314yes—
454C3×Q8—124no—
455C3×D4—24no—
456C3×D4—24no—
457C3×D4—64no—
458C3×D4—128no—
459C2×C3×C4—28no—
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—22no—
464C2×C3×C4—34no—
465C2×C3×C4—38no—
466C2×C3×C4—44no—
467C2×C3×C4—68no—
468C2×C3×C4C23×D312yes—
469C2×C3×C4C23×D314yes—
470C2×C3×C4C23×D312yes—
471C2×C3×C4C23×D312yes—
472#67—48no—
473#67—68no—
474#67—68no—
475#67—68no—
476#67—128no—
477C2×Dic3—32no—
478C2×Dic3—32no—
479C2×Dic3—34no—
480C2×Dic3—32no—
481C2×Dic3—61no—
482C2×Dic3—61no—
483C2×Dic3—61no—
484C2×Dic3—62no—
485C2×Dic3—68no—
486C2×Dic3—68no—
487C2×Dic3—124no—
488C2×Dic3C23×D314yes—
489C2×Dic3C23×D318yes—
490D12—24no—
491D12—64no—
492D12—64no—
493D12—128no—
494C4×D3—28no—
495C4×D3—38no—
496C4×D3—38no—
497C4×D3—64no—
498C4×D3—64no—
499C4×D3—68no—
500C4×D3—616no—
501C4×D3—68no—
502C4×D3—68no—
503C4×D3—68no—
504C4×D3—64no—
505C4×D3—68no—
506C4×D3—124no—
507C4×D3—124no—
508C4×D3—122no—
509C4×D3—124no—
510Dic6—44no—
511Dic6—128no—
512C2×C32—42no—
513C2×C32C22×#4111yescharacteristic
514C2×C32C22×#4111yescharacteristic
515C2×C32C2×H(5,𝔽2)11yescharacteristic
516C3⋊D3—42no—
517C3⋊D3#55514yescomplemented
518C3×D3—44no—
519C24—92no—
520C24—92no—
521C2×Q8—34no—
522C2×Q8—94no—
523C2×Q8—364no—
524C2×D4—38no—
525C2×D4—32no—
526C2×D4—98no—
527C2×D4—92no—
528C2×D4—92no—
529C2×D4—91no—
530C2×D4—184no—
531C2×D4—184no—
532C2×D4—368no—
533C2×D4C2×D3211yescharacteristic
534C22×C4—34no—
535C22×C4—92no—
536C22×C4—94no—
537C22×C4—94no—
538C22×C4—91no—
539C22×C4—91no—
540C22×C4—92no—
541C22×C4—92no—
542C22×C4—91no—
543C22×C4—92no—
544C22×C4—92no—
545C22×C4—188no—
546C22×C4—188no—
547C22×C4C2×D3212yes—
548C4⋊C4—32no—
549C4⋊C4—34no—
550C4⋊C4—34no—
551C4⋊C4—92no—
552C4⋊C4—94no—
553C4⋊C4—94no—
554C4⋊C4—92no—
555C4⋊C4—91no—
556C4⋊C4C2×D3211yescharacteristic
557C22⋊C4—38no—
558C22⋊C4—38no—
559C22⋊C4—34no—
560C22⋊C4—98no—
561C22⋊C4—98no—
562C22⋊C4—94no—
563C22⋊C4—92no—
564C22⋊C4—92no—
565C22⋊C4—92no—
566C22⋊C4C2×D3212yes—
567C42—38no—
568C42—98no—
569C42—91no—
570C42—91no—
571C42—91no—
572C42C2×D3211yescharacteristic
573C22×C3—24no—
574C22×C3—24no—
575C22×C3—24no—
576C22×C3—24no—
577C22×C3—21no—
578C22×C3—42no—
579C22×C3—42no—
580C22×C3—64no—
581C22×C3—64no—
582C22×C3—64no—
583C22×C3C24×D312yes—
584C2×D3—24no—
585C2×D3—24no—
586C2×D3—24no—
587C2×D3—34no—
588C2×D3—34no—
589C2×D3—34no—
590C2×D3—62no—
591C2×D3—62no—
592C2×D3—62no—
593C2×D3—64no—
594C2×D3—64no—
595C2×D3—64no—
596C2×D3—64no—
597C2×D3—122no—
598C2×D3—122no—
599C2×D3—1216no—
600C2×D3—1216no—
601C2×D3—1216no—
602C3×C4—24no—
603C3×C4—22no—
604C3×C4—22no—
605C3×C4—22no—
606C3×C4—42no—
607C3×C4—41no—
608C3×C4—64no—
609C3×C4—68no—
610C3×C4D3×#4114yes—
611C3×C4D3×#4114yes—
612Dic3—24no—
613Dic3—28no—
614Dic3—34no—
615Dic3—34no—
616Dic3—62no—
617Dic3—62no—
618Dic3—64no—
619Dic3—62no—
620Dic3—122no—
621Dic3—121no—
622C32C2×#55511yescharacteristic, complemented, Sylow
623C23—34no—
624C23—91no—
625C23—92no—
626C23—184no—
627C23—184no—
628C23—184no—
629C23—184no—
630C23—184no—
631C23—184no—
632C23C22×D3212yes—
633Q8—124no—
634Q8—364no—
635D4—22no—
636D4—64no—
637D4—128no—
638D4—184no—
639D4—184no—
640D4—182no—
641D4—368no—
642C2×C4—24no—
643C2×C4—34no—
644C2×C4—38no—
645C2×C4—68no—
646C2×C4—91no—
647C2×C4—91no—
648C2×C4—94no—
649C2×C4—94no—
650C2×C4—92no—
651C2×C4—91no—
652C2×C4—184no—
653C2×C4—184no—
654C2×C4—182no—
655C2×C4—184no—
656C2×C4—188no—
657C2×C4—188no—
658C2×C4—184no—
659C2×C4—184no—
660C2×C4C22×D3212yes—
661C2×C4C22×D3211yescharacteristic
662C2×C4C22×D3211yescharacteristic
663C2×C4C22×D3211yescharacteristic
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—44no—
668C2×C3—44no—
669C2×C3—124no—
670C2×C3C2×D3×#4112yes—
671C2×C3C2×D3×#4112yes—
672C2×C3D3×H(5,𝔽2)12yes—
673D3—38no—
674D3—44no—
675D3—64no—
676D3—124no—
677D3—124no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—64no—
682C22—64no—
683C22—64no—
684C22—92no—
685C22—92no—
686C22—92no—
687C22—182no—
688C22—182no—
689C22—182no—
690C22—368no—
691C22—368no—
692C22C23×D3211yescharacteristic
693C4—22no—
694C4—21no—
695C4—64no—
696C4—68no—
697C4—92no—
698C4—92no—
699C4—182no—
700C4—181no—
701C4#6430612yes—
702C4#6431212yes—
703C3—21no—
704C3D3×#55512yescomplemented
705C2—42no—
706C2—94no—
707C2—124no—
708C2—362no—
709C2C2×#6430611yescharacteristic
710C2C2×#6431211yescharacteristic
711C2#1059669211yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×D4C22
hypercenterC4×D4D32
hypocenterC32C2×#555
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C4×D4×C3⋊D3C2semidirect
2. C3×#5563C2semidirect
3. #10595282C2semidirect
4. #10595253C2semidirect
5. #10595081C2semidirect
6. #10594969C2semidirect
7. #10594961C2semidirect
8. #10594602C2semidirect
9. #10594575C2semidirect
10. #10594288C2semidirect
11. #10594150C2semidirect
12. C4×#3802C2semidirect
13. #10593987C2semidirect
14. #10593909C2semidirect
22. C32×C4×D4C22semidirect
23. D4×C3⋊Dic3C22semidirect
24. C4×#638C22semidirect
25. #64102C22semidirect
27. #64090C22semidirect
29. C4×C4⋊(C3⋊D3)C22semidirect
31. C3×#938C22semidirect
32. C3×#930C22semidirect
33. C3×#926C22semidirect
34. C3×#892C22semidirect
35. C3×#885C22semidirect
36. C3×C4×D12C22semidirect
37. C3×#869C22semidirect
38. #63980C22semidirect
40. #63971C22semidirect
41. #63959C22semidirect
42. #63957C22semidirect
45. #63919C22semidirect
46. #63919C22semidirect
47. #63916C22semidirect
48. #63912C22semidirect
49. #63909C22semidirect
50. #63907C22semidirect
51. #63902C22semidirect
52. C4×#625C22semidirect
56. #63898C22semidirect
58. #63877C22semidirect
59. #63874C22semidirect
60. #63873C22semidirect
61. #63852C22semidirect
62. #63849C22semidirect
63. #63841C22semidirect
74. #5563D3semidirect
151. C3×C4×D4C2×D3semidirect
159. #938C2×D3semidirect
165. #930C2×D3semidirect
170. #926C2×D3semidirect
179. #892C2×D3semidirect
190. #885C2×D3semidirect
206. C4×D12C2×D3semidirect
212. #869C2×D3semidirect
419. C4×D4D32semidirect
517. C3⋊D3#555semidirect
622. C32C2×#555semidirect
704. C3D3×#555semidirect

Maximal subgroups

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

subgroupindex
C4×D4×C3⋊D32
C3×#55632
#105952822
#105952532
#105950812
#105949692
#105949612
#105946022
#105945752
#105942882
#105941502
C4×#38022
#105939872
#105939092
D3×#5553