Finite Group Databasebeta

← D3×#64141 #13177551

Subgroups — D3×#64141 #13177551

Order 1728.

2060 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×D3×D4C211yesmaximal, characteristic, complemented
2D3×#3828C211yesmaximal, characteristic, complemented
3#11723973C211yesmaximal, characteristic, complemented
4C3×#64141C211yesmaximal, characteristic, complemented
5#11723557C212yesmaximal, complemented
6#11723555C212yesmaximal, complemented
7D3×#3754C212yesmaximal, complemented
8D3×#3753C212yesmaximal, complemented
9#11723378C211yesmaximal, characteristic, complemented
10#11723364C211yesmaximal, characteristic, complemented
11D3×#3748C211yesmaximal, characteristic, complemented
12C2×#64141—31nomaximal
13D3×#932—34nomaximal
14C23×C32×D3—21no—
15C2×C33×D4C2211yescharacteristic, complemented
16#89076C2211yescharacteristic, complemented
17C3×#3828C2211yescharacteristic, complemented
18C2×C32×#67—21no—
19C32×D3×D4—21no—
20C32×D3×D4—21no—
21C32×D3×D4C2212yes—
22C32×D3×D4C2212yescomplemented
23C2×C32×D12C2211yescharacteristic, complemented
24C2×C32×C4×D3C2211yescharacteristic
25D3×#638—21no—
26#89031—21no—
27D3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
28C4×D3×C3⋊D3—21no—
29#89022C2211yescharacteristic, complemented
30#89021C2211yescharacteristic, complemented
31#89020—21no—
32D3×#634C2211yescharacteristic, complemented
33#88861C2212yescomplemented
34#88860C2212yescomplemented
35#88855C2211yescharacteristic, complemented
36C3×#3754C2212yescomplemented
37C3×#3753C2212yescomplemented
38C3×#3748C2211yescharacteristic, complemented
39#88794C2212yescomplemented
40#88792C2212yescomplemented
41#88790C2212yescomplemented
42#88789C2212yescomplemented
43#88786C2212yescomplemented
44D3×C3⋊(C3⋊C8)C2212yescomplemented
45C22×C32×D4—31no—
46C2×#3828—31no—
47C2×C3×D3×D4D314yescomplemented
48D3×#235—34no—
49C2×#3754—32no—
50#64141—31no—
51#64141—31no—
52#64141—32no—
53#64141—32no—
54#64141—31no—
55#64141—34no—
56#64141—64no—
57#64141D311yescharacteristic, direct product factor
58C2×#3753—32no—
59C2×#3748—31no—
60C3×#932—34no—
61#63934—38no—
62#63932—38no—
63D3×#214—38no—
64D3×#213—38no—
65#63830—34no—
66#63823—34no—
67D3×#208—34no—
68C23×C33—21no—
69C22×C32×D3—21no—
70C22×C32×D3—22no—
71C22×C32×D3—22no—
72C22×C32×D3—44no—
73C22×C32×D3D411yescharacteristic
74C2×D3×C3⋊D3—21no—
75C33×D4—21no—
76C33×D4C2312yes—
77C2×C33×C4C2311yescharacteristic
78#6312—21no—
79C4⋊(C3⋊(C3⋊D3))C2311yescharacteristic, complemented
80C4×C3⋊(C3⋊D3)—21no—
81#6308C2311yescharacteristic, complemented
82C3×#638—21no—
83C3×C4⋊(C3⋊D3)C2311yescharacteristic, complemented
84C3×C4×C3⋊D3—21no—
85C3×#634C2311yescharacteristic, complemented
86C32×#67—22no—
87C32×#67—22no—
88C2×C32×Dic3D411yescharacteristic
89C32×D12—21no—
90C32×D12C2312yes—
91C32×C4×D3D411yescharacteristic
92C32×C4×D3D411yescharacteristic
93C32×C4×D3C2311yescharacteristic
94C32×C4×D3C2311yescharacteristic
95#6293—21no—
96#6292—21no—
97#6291—21no—
98#6290—21no—
99#6289—21no—
100Dic3×C3⋊D3—21no—
101D3×C3⋊Dic3—21no—
102C3⋊(C3⋊(C3⋊C8))C2312yescomplemented
103C3×C3⋊(C3⋊C8)C2312yescomplemented
104C2×#932—94no—
105D3×AGL(1,ℤ/8)—91no—
106C24×C32—61no—
107C23×C3×D3—24no—
108C2×C32×D4—24no—
109C2×C32×D4—32no—
110C2×C32×D4—32no—
111C2×C32×D4—31no—
112C2×C32×D4—61no—
113C2×C32×D4—61no—
114C2×C32×D4—61no—
115C2×C32×D4C2×D314yescomplemented
116C2×C32×D4C2×D311yescharacteristic, complemented
117C22×C32×C4—31no—
118C2×#638—61no—
119#3828—31no—
120#3828—34no—
121#3828—31no—
122#3828—31no—
123#3828—61no—
124#3828—61no—
125#3828—64no—
126#3828C2×D311yescharacteristic, complemented
127C2×C4⋊(C3⋊D3)—31no—
128C2×C4×C3⋊D3—61no—
129C2×#634—31no—
130C2×C3×#67—24no—
131C3×D3×D4—24no—
132C3×D3×D4—24no—
133C3×D3×D4C2×D318yes—
134C3×D3×D4C2×D318yescomplemented
135C3×#235—34no—
136C2×C3×D12C2×D314yescomplemented
137C2×C3×C4×D3C2×D314yes—
138D3×#67—64no—
139#3804—64no—
140D3×D12—34no—
141C4×D32—64no—
142#3799—34no—
143#3798—64no—
144#3795—34no—
145D3×Dic6—34no—
146#3754—32no—
147#3754—38no—
148#3754—32no—
149#3754—32no—
150#3754—68no—
151#3754C2×D312yescomplemented
152#3753—32no—
153#3753—38no—
154#3753—32no—
155#3753—32no—
156#3753—68no—
157#3753C2×D312yescomplemented
158#3748—31no—
159#3748—34no—
160#3748—32no—
161#3748—64no—
162#3748C2×D311yescharacteristic, complemented
163C2×C3⋊(C3⋊C8)—32no—
164C3×#214—38no—
165C3×#213—38no—
166C3×#208—34no—
167#3716—38no—
168#3715—38no—
169#3714—38no—
170#3713—38no—
171#3711—38no—
172D3×C3⋊C8—38no—
173C22×C33—22no—
174C22×C33—42no—
175C22×C33C2×D411yescharacteristic
176C2×C3⋊(C3⋊D3)—21no—
177C2×C3×C3⋊D3—21no—
178C2×C32×D3—22no—
179C2×C32×D3—22no—
180C2×C32×D3—44no—
181C2×C32×D3—42no—
182C2×C32×D3—44no—
183C2×C32×D3C2×D411yescharacteristic
184C2×C32×D3C2×D411yescharacteristic
185D3×C3⋊D3—42no—
186C33×C4C2×D411yescharacteristic
187C33×C4C2411yescharacteristic
188C3⋊(C3⋊Dic3)—21no—
189C3×C3⋊Dic3—21no—
190C32×Dic3C2×D411yescharacteristic
191C32×Dic3C2×D411yescharacteristic
192C22×C3×D4—34no—
193D3×#41—91no—
194C2×D3×D4C3⋊D311yescharacteristic, complemented
195C2×#235—94no—
196C3×AGL(1,ℤ/8)—91no—
197#949—91no—
198C2×#214—98no—
199#932—34no—
200#932—94no—
201#932—98no—
202#932—98no—
203#932—94no—
204#932—94no—
205#932—91no—
206#932—184no—
207C2×#213—98no—
208C2×#208—94no—
209#914—92no—
210D3×SD16—92no—
211#911—92no—
212D3×D8—92no—
213#908—91no—
214D3×M16—91no—
215C23×C32—21no—
216C23×C32—24no—
217C23×C32—31no—
218C23×C32—44no—
219C23×C32—62no—
220C23×C32—62no—
221C23×C32—61no—
222C23×C32—124no—
223C22×C3⋊D3—61no—
224C22×C3×D3—24no—
225C22×C3×D3—28no—
226C22×C3×D3—28no—
227C22×C3×D3—416no—
228C22×C3×D3#6714yes—
229C2×D32—64no—
230C32×D4—21no—
231C32×D4—28no—
232C32×D4—24no—
233C32×D4—32no—
234C32×D4—44no—
235C32×D4—62no—
236C32×D4—62no—
237C32×D4—61no—
238C32×D4C22×D318yes—
239C32×D4C22×D312yes—
240C2×C32×C4—24no—
241C2×C32×C4—31no—
242C2×C32×C4—31no—
243C2×C32×C4—31no—
244C2×C32×C4—31no—
245C2×C32×C4—31no—
246C2×C32×C4C22×D314yes—
247C2×C32×C4C22×D311yescharacteristic
248#638—21no—
249#638—61no—
250#638—61no—
251#638—61no—
252#638—64no—
253#638—124no—
254C2×C3⋊Dic3—61no—
255C4⋊(C3⋊D3)—31no—
256C4⋊(C3⋊D3)—34no—
257C4⋊(C3⋊D3)—64no—
258C4⋊(C3⋊D3)—61no—
259C4⋊(C3⋊D3)C22×D311yescharacteristic, complemented
260C4×C3⋊D3—21no—
261C4×C3⋊D3—61no—
262C4×C3⋊D3—61no—
263C4×C3⋊D3—61no—
264C4×C3⋊D3—64no—
265C4×C3⋊D3—124no—
266#634—31no—
267#634—34no—
268#634—64no—
269#634—61no—
270#634C22×D311yescharacteristic, complemented
271C3×#67—28no—
272C3×#67—28no—
273C3×#67—64no—
274C2×C3×Dic3#6714yes—
275C3×D12—24no—
276C3×D12—34no—
277C3×D12C22×D318yes—
278C3×C4×D3—64no—
279C3×C4×D3#6714yes—
280C3×C4×D3#6714yes—
281C3×C4×D3C22×D314yes—
282C3×C4×D3C22×D314yes—
283C3×Dic6—34no—
284#627—64no—
285#626—64no—
286#626—64no—
287#625—64no—
288#624—64no—
289D3×Dic3—64no—
290D3×Dic3—64no—
291C3⋊(C3⋊C8)—32no—
292C3⋊(C3⋊C8)—38no—
293C3⋊(C3⋊C8)—68no—
294C3⋊(C3⋊C8)C22×D312yescomplemented
295C3×C3⋊C8—38no—
296C2×AGL(1,ℤ/8)—271noSylow
297C2×C33—21no—
298C2×C33—42no—
299C2×C33C22×D411yescharacteristic
300C3⋊(C3⋊D3)—41no—
301C3×C3⋊D3—41no—
302C32×D3—21no—
303C32×D3—42no—
304C32×D3AGL(1,ℤ/8)12yescomplemented
305C24×C3—64no—
306C23×D3—21no—
307C3×#41—91no—
308C2×C3×D4—24no—
309C2×C3×D4—38no—
310C2×C3×D4—38no—
311C2×C3×D4—34no—
312C2×C3×D4—64no—
313C2×C3×D4—64no—
314C2×C3×D4—64no—
315C2×C3×D4D3214yescomplemented
316C2×C3×D4C2×C3⋊D311yescharacteristic, complemented
317C22×C3×C4—34no—
318C2×#67—21no—
319C2×#67—184no—
320#239—91no—
321D3×Q8—91no—
322#237—91no—
323#237—181no—
324D3×D4—21no—
325D3×D4—21no—
326D3×D4—91no—
327D3×D4—181no—
328D3×D4C2×C3⋊D312yes—
329D3×D4C2×C3⋊D312yescomplemented
330#235—34no—
331#235—94no—
332#235—94no—
333#235—94no—
334#235—91no—
335#235—184no—
336#235—184no—
337#235—184no—
338#235—181no—
339C2×D12—94no—
340C2×D12C2×C3⋊D311yescharacteristic, complemented
341C2×C4×D3—184no—
342C2×C4×D3—181no—
343C2×C4×D3C2×C3⋊D311yescharacteristic
344C2×Dic6—94no—
345C3×SD16—92no—
346C3×D8—92no—
347C3×M16—91no—
348#215—92no—
349#214—38no—
350#214—98no—
351#214—98no—
352#214—98no—
353#214—92no—
354#214—188no—
355#213—38no—
356#213—98no—
357#213—98no—
358#213—98no—
359#213—92no—
360#213—92no—
361#213—188no—
362#208—34no—
363#208—98no—
364#208—94no—
365#208—91no—
366#208—184no—
367C2×C3⋊C8—98no—
368D24—92no—
369#204—92no—
370ΓL(1,𝔽25)—92no—
371D3×C8—92no—
372C22×C32—22no—
373C22×C32—24no—
374C22×C32—28no—
375C22×C32—31no—
376C22×C32—31no—
377C22×C32—48no—
378C22×C32—42no—
379C22×C32—48no—
380C22×C32—62no—
381C22×C32—62no—
382C22×C32—88no—
383C22×C32—122no—
384C22×C32—124no—
385C22×C32—124no—
386C22×C32D3×D411yescharacteristic
387C22×C32C2×#6714yes—
388C2×C3⋊D3—21no—
389C2×C3⋊D3—61no—
390C2×C3⋊D3—64no—
391C2×C3⋊D3—124no—
392C2×C3⋊D3—122no—
393C2×C3×D3—28no—
394C2×C3×D3—28no—
395C2×C3×D3—416no—
396C2×C3×D3—48no—
397C2×C3×D3—416no—
398C2×C3×D3—64no—
399C2×C3×D3C2×#6714yes—
400C2×C3×D3C2×#6714yes—
401D32—128no—
402C32×C4—24no—
403C32×C4—24no—
404C32×C4—31no—
405C32×C4—31no—
406C32×C4D3×D411yescharacteristic
407C32×C4C2×#6714yes—
408C32×C4C23×D314yes—
409C32×C4C23×D311yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—61no—
412C3⋊Dic3—64no—
413C3⋊Dic3—124no—
414C3×Dic3—64no—
415C3×Dic3C2×#6714yes—
416C3×Dic3C2×#6714yes—
417C2×#41—271no—
418C22×D4—31no—
419AGL(1,ℤ/8)—91no—
420AGL(1,ℤ/8)—271no—
421AGL(1,ℤ/8)—272no—
422AGL(1,ℤ/8)—272no—
423AGL(1,ℤ/8)—271no—
424AGL(1,ℤ/8)—271no—
425C2×SD16—272no—
426C2×D8—272no—
427C2×M16—271no—
428C33C2×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
429C23×C3—24no—
430C23×C3—21no—
431C23×C3—34no—
432C23×C3—44no—
433C23×C3—68no—
434C23×C3—68no—
435C23×C3—64no—
436C23×C3—1216no—
437C22×D3—21no—
438C22×D3—22no—
439C22×D3—22no—
440C22×D3—44no—
441C22×D3—184no—
442C22×D3—181no—
443C22×D3#63811yescharacteristic
444C3×Q8—91no—
445C3×D4—24no—
446C3×D4—21no—
447C3×D4—28no—
448C3×D4—38no—
449C3×D4—44no—
450C3×D4—68no—
451C3×D4—68no—
452C3×D4—64no—
453C3×D4—91no—
454C3×D4—181no—
455C3×D4C2×D3218yes—
456C3×D4C22×C3⋊D312yes—
457C2×C3×C4—24no—
458C2×C3×C4—34no—
459C2×C3×C4—34no—
460C2×C3×C4—34no—
461C2×C3×C4—34no—
462C2×C3×C4—34no—
463C2×C3×C4—181no—
464C2×C3×C4C2×D3214yes—
465C2×C3×C4C22×C3⋊D311yescharacteristic
466#67—22no—
467#67—22no—
468#67—64no—
469#67—184no—
470#67—184no—
471#67—184no—
472#67—181no—
473#67—181no—
474#67—181no—
475#67—364no—
476C2×Dic3—184no—
477C2×Dic3—181no—
478C2×Dic3#63811yescharacteristic
479D12—21no—
480D12—34no—
481D12—94no—
482D12—91no—
483D12—184no—
484D12—184no—
485D12—181no—
486D12C22×C3⋊D312yes—
487C4×D3—64no—
488C4×D3—184no—
489C4×D3—184no—
490C4×D3—181no—
491C4×D3—184no—
492C4×D3—181no—
493C4×D3—181no—
494C4×D3—364no—
495C4×D3#63811yescharacteristic
496C4×D3#63811yescharacteristic
497C4×D3C22×C3⋊D311yescharacteristic
498C4×D3C22×C3⋊D311yescharacteristic
499Dic6—34no—
500Dic6—94no—
501Dic6—91no—
502Dic6—184no—
503Dic6—184no—
504Dic6—181no—
505C3×C8—92no—
506C3⋊C8—38no—
507C3⋊C8—98no—
508C3⋊C8—92no—
509C3⋊C8—188no—
510C2×C32—21no—
511C2×C32—24no—
512C2×C32—24no—
513C2×C32—32no—
514C2×C32—44no—
515C2×C32—42no—
516C2×C32—48no—
517C2×C32—61no—
518C2×C32—88no—
519C2×C32—122no—
520C2×C32C2×D3×D411yescharacteristic
521C2×C32C22×#6714yes—
522C3⋊D3—41no—
523C3⋊D3—121no—
524C3⋊D3—124no—
525C3⋊D3—244no—
526C3×D3—24no—
527C3×D3—48no—
528C3×D3—124no—
529C3×D3#93218yescomplemented
530C24—61no—
531#41—91no—
532#41—271no—
533#41—271no—
534#41—271no—
535#41—541no—
536#41—541no—
537C2×Q8—271no—
538C2×D4—32no—
539C2×D4—32no—
540C2×D4—31no—
541C2×D4—61no—
542C2×D4—61no—
543C2×D4—61no—
544C2×D4—271no—
545C2×D4—541no—
546C2×D4D3×C3⋊D311yescharacteristic, complemented
547C22×C4—31no—
548C22×C4—541no—
549SD16—92no—
550SD16—272no—
551SD16—272no—
552SD16—272no—
553D8—92no—
554D8—272no—
555D8—272no—
556D8—272no—
557M16—91no—
558M16—272no—
559M16—271no—
560C2×C8—272no—
561C22×C3—28no—
562C22×C3—22no—
563C22×C3—24no—
564C22×C3—34no—
565C22×C3—34no—
566C22×C3—48no—
567C22×C3—42no—
568C22×C3—48no—
569C22×C3—68no—
570C22×C3—68no—
571C22×C3—88no—
572C22×C3—128no—
573C22×C3—1216no—
574C22×C3—1216no—
575C22×C3—181no—
576C22×C3D3×#6714yes—
577C22×C3C2×#63811yescharacteristic
578C2×D3—22no—
579C2×D3—22no—
580C2×D3—44no—
581C2×D3—42no—
582C2×D3—44no—
583C2×D3—64no—
584C2×D3—184no—
585C2×D3—181no—
586C2×D3—364no—
587C2×D3—368no—
588C2×D3—362no—
589C2×D3C2×#63811yescharacteristic
590C2×D3C2×#63811yescharacteristic
591C3×C4—24no—
592C3×C4—24no—
593C3×C4—34no—
594C3×C4—34no—
595C3×C4—181no—
596C3×C4D3×#6714yes—
597C3×C4C2×#63811yescharacteristic
598C3×C4C22×D3214yes—
599C3×C4C23×C3⋊D311yescharacteristic
600Dic3—64no—
601Dic3—184no—
602Dic3—181no—
603Dic3—364no—
604Dic3C2×#63811yescharacteristic
605Dic3C2×#63811yescharacteristic
606C32—24no—
607C32D3×AGL(1,ℤ/8)11yescharacteristic, complemented
608C32C2×#93214yescomplemented
609C23—21no—
610C23—31no—
611C23—62no—
612C23—62no—
613C23—61no—
614C23—124no—
615C23—541no—
616Q8—91no—
617Q8—271no—
618Q8—541no—
619D4—21no—
620D4—32no—
621D4—62no—
622D4—62no—
623D4—61no—
624D4—91no—
625D4—181no—
626D4—271no—
627D4—541no—
628D4—541no—
629D4—541no—
630D4—541no—
631D4C2×D3×C3⋊D312yes—
632C2×C4—31no—
633C2×C4—31no—
634C2×C4—31no—
635C2×C4—31no—
636C2×C4—31no—
637C2×C4—181no—
638C2×C4—541no—
639C2×C4—541no—
640C2×C4—541no—
641C2×C4—541no—
642C2×C4C2×D3×C3⋊D311yescharacteristic
643C8—92no—
644C8—272no—
645C2×C3—24no—
646C2×C3—21no—
647C2×C3—24no—
648C2×C3—38no—
649C2×C3—44no—
650C2×C3—48no—
651C2×C3—42no—
652C2×C3—64no—
653C2×C3—88no—
654C2×C3—128no—
655C2×C3—361no—
656C2×C3C2×D3×#6714yes—
657C2×C3C22×#63811yescharacteristic
658D3—21no—
659D3—42no—
660D3—124no—
661D3—364no—
662D3—361no—
663D3—724no—
664D3#6414112yesdirect product factor
665C22—22no—
666C22—31no—
667C22—31no—
668C22—42no—
669C22—62no—
670C22—62no—
671C22—122no—
672C22—124no—
673C22—124no—
674C22—181no—
675C22—541no—
676C22—1082no—
677C22D3×#63811yescharacteristic
678C4—31no—
679C4—31no—
680C4—181no—
681C4—541no—
682C4D3×#63811yescharacteristic
683C4C22×D3×C3⋊D311yescharacteristic
684C3—24no—
685C3D3×#93214yescomplemented
686C3C2×#6414111yescharacteristic, complemented
687C2—21no—
688C2—32no—
689C2—42no—
690C2—61no—
691C2—122no—
692C2—361no—
693C2—1081no—
694C2C2×D3×#63811yescharacteristic
subgroupG/H
centerC2C2×D3×#638
commutator, cosocleC33×C4C24
FrattiniC4C22×D3×C3⋊D3
FittingC2×C33×D4C22
socleC2×C33C22×D4
hypercenterC2×D4D3×C3⋊D3
hypocenterC33C2×AGL(1,ℤ/8)
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×D3×D4C2semidirect
2. D3×#3828C2semidirect
3. #11723973C2semidirect
4. C3×#64141C2semidirect
5. #11723557C2semidirect
6. #11723555C2semidirect
7. D3×#3754C2semidirect
8. D3×#3753C2semidirect
9. #11723378C2semidirect
10. #11723364C2semidirect
11. D3×#3748C2semidirect
15. C2×C33×D4C22semidirect
16. #89076C22semidirect
17. C3×#3828C22semidirect
22. C32×D3×D4C22semidirect
23. C2×C32×D12C22semidirect
27. D3×C4⋊(C3⋊D3)C22semidirect
29. #89022C22semidirect
30. #89021C22semidirect
32. D3×#634C22semidirect
33. #88861C22semidirect
34. #88860C22semidirect
35. #88855C22semidirect
36. C3×#3754C22semidirect
37. C3×#3753C22semidirect
38. C3×#3748C22semidirect
39. #88794C22semidirect
40. #88792C22semidirect
41. #88790C22semidirect
42. #88789C22semidirect
43. #88786C22semidirect
44. D3×C3⋊(C3⋊C8)C22semidirect
47. C2×C3×D3×D4D3semidirect
57. #64141D3direct (N × H)
79. C4⋊(C3⋊(C3⋊D3))C23semidirect
81. #6308C23semidirect
83. C3×C4⋊(C3⋊D3)C23semidirect
85. C3×#634C23semidirect
102. C3⋊(C3⋊(C3⋊C8))C23semidirect
103. C3×C3⋊(C3⋊C8)C23semidirect
115. C2×C32×D4C2×D3semidirect
116. C2×C32×D4C2×D3semidirect
126. #3828C2×D3semidirect
134. C3×D3×D4C2×D3semidirect
136. C2×C3×D12C2×D3semidirect
151. #3754C2×D3semidirect
157. #3753C2×D3semidirect
162. #3748C2×D3semidirect
194. C2×D3×D4C3⋊D3semidirect
259. C4⋊(C3⋊D3)C22×D3semidirect
270. #634C22×D3semidirect
294. C3⋊(C3⋊C8)C22×D3semidirect
304. C32×D3AGL(1,ℤ/8)semidirect
315. C2×C3×D4D32semidirect
316. C2×C3×D4C2×C3⋊D3semidirect
329. D3×D4C2×C3⋊D3semidirect
340. C2×D12C2×C3⋊D3semidirect
428. C33C2×AGL(1,ℤ/8)semidirect
529. C3×D3#932semidirect
546. C2×D4D3×C3⋊D3semidirect
607. C32D3×AGL(1,ℤ/8)semidirect
608. C32C2×#932semidirect
664. D3#64141direct (N × H)
685. C3D3×#932semidirect
686. C3C2×#64141semidirect

Maximal subgroups

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

subgroupindex
C2×C32×D3×D42
D3×#38282
#117239732
C3×#641412
#117235572
#117235552
D3×#37542
D3×#37532
#117233782
#117233642
D3×#37482
C2×#641413
D3×#9323