Finite Group Databasebeta

← #11904608

Subgroups — #11904608

Order 1152.

4974 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64366C211yesmaximal, characteristic, complemented
2C2×#41×C3⋊D3C211yesmaximal, characteristic, complemented
3C32×#550C211yesmaximal, characteristic, complemented
4#10596305C211yesmaximal, characteristic, complemented
5#10596302C211yesmaximal, characteristic, complemented
6#10596188C213yesmaximal, complemented
7#10596186C213yesmaximal, complemented
8#10596083C213yesmaximal, complemented
9#10596080C213yesmaximal, complemented
10#10596079C213yesmaximal, complemented
11C3⋊D3×#121C213yesmaximal, complemented
12#10596047C211yesmaximal, characteristic, complemented
13#10596045C211yesmaximal, characteristic, complemented
14#10596021C213yesmaximal, complemented
15#10596018C213yesmaximal, complemented
16#86769—34nomaximal
17C2×C32×#41C2211yescharacteristic, complemented
18C2×C32×#41C2211yescharacteristic, complemented
19#64366—28no—
20#41×C3⋊D3—28no—
21C2×#3832C2211yescharacteristic
22C2×#3832C2211yescharacteristic, complemented
23C2×Q8×C3⋊D3C2211yescharacteristic, complemented
24C2×#3830C2213yescomplemented
25C2×D4×C3⋊D3C2213yescomplemented
26C2×D4×C3⋊D3C2213yescomplemented
27C2×D4×C3⋊D3C2213yescomplemented
28C2×D4×C3⋊D3C2216yescomplemented
29C2×#3828C2213yescomplemented
30C2×#3828C2213yescomplemented
31C22×C4⋊(C3⋊D3)C2213yescomplemented
32C22×C4×C3⋊D3C2213yescomplemented
33C32×#127C2213yescomplemented
34C32×#121C2213yescomplemented
35C32×#121C2213yescomplemented
36C32×C4×Q8C2211yescharacteristic, complemented
37C32×C4×D4C2213yescomplemented
38Q8×C3⋊Dic3C2211yescharacteristic, complemented
39#64149C2213yescomplemented
40#64148C2213yescomplemented
41#64148C2216yescomplemented
42#64147C2213yescomplemented
43#64147C2213yescomplemented
44#64147C2216yescomplemented
45#64146C2216yescomplemented
46#64146C2216yescomplemented
47#64146C2213yescomplemented
48#64145C2213yescomplemented
49#64139C2213yescomplemented
50C4×#638C2213yescomplemented
51C4×#638C2213yescomplemented
52#64133C2213yescomplemented
53#64106C2213yescomplemented
54#64105C2211yescharacteristic, complemented
55#64104C2213yescomplemented
56#64103C2213yescomplemented
57#64102C2213yescomplemented
58C4⋊C4×C3⋊D3C2213yescomplemented
59#64093C2213yescomplemented
60#64093C2216yescomplemented
61#64092C2213yescomplemented
62#64091C2213yescomplemented
63C22⋊C4×C3⋊D3C2216yescomplemented
64#64087C2213yescomplemented
65#64084C2213yescomplemented
66C4×C4⋊(C3⋊D3)C2213yescomplemented
67C4×C4⋊(C3⋊D3)C2213yescomplemented
68#64081C2213yescomplemented
69C2×#1009—34no—
70C2×D3×#41—34no—
71C3×#550D314yescomplemented
72#5834—34no—
73#5831—34no—
74#5717—312no—
75#5715—312no—
76#5612—312no—
77#5609—312no—
78#5608—312no—
79D3×#121—312no—
80#5576—34no—
81#5574—34no—
82#5550—312no—
83#5547—312no—
84C23×C3⋊D3C2313yes—
85C23×C3⋊D3C2316yes—
86C32×#41—24no—
87C32×#41—24no—
88C2×C32×Q8C2311yescharacteristic
89C2×C32×D4C2313yes—
90C2×C32×D4C2313yes—
91C2×C32×D4C2316yes—
92C2×C32×D4C2313yes—
93C22×C32×C4C2313yes—
94C22×C32×C4C2313yes—
95C2×#638C2313yes—
96C2×#638C2313yes—
97C2×#638C2316yes—
98C2×#638C2313yes—
99C2×#638C2313yes—
100C2×#638C2316yes—
101C22×C3⋊Dic3C2313yes—
102#3832—24no—
103#3832D418yescomplemented
104Q8×C3⋊D3—24no—
105#3830—212no—
106D4×C3⋊D3—212no—
107D4×C3⋊D3—212no—
108D4×C3⋊D3—212no—
109D4×C3⋊D3—412no—
110#3828—212no—
111#3828—212no—
112C2×C4⋊(C3⋊D3)—212no—
113C2×C4⋊(C3⋊D3)C2313yes—
114C2×C4⋊(C3⋊D3)C2313yes—
115C2×C4⋊(C3⋊D3)C2313yes—
116C2×C4⋊(C3⋊D3)C2313yes—
117C2×C4×C3⋊D3—212no—
118C2×C4×C3⋊D3C2313yes—
119C2×C4×C3⋊D3C2313yes—
120C2×C4×C3⋊D3C2313yes—
121C2×C4×C3⋊D3C2311yescharacteristic
122C2×C4×C3⋊D3C2316yes—
123C2×C4×C3⋊D3C2313yes—
124C2×#634C2313yes—
125C2×#634C2311yescharacteristic
126C32×C4⋊C4C2313yes—
127C32×C4⋊C4C2311yescharacteristic
128C32×C22⋊C4C2313yes—
129C32×C22⋊C4C2313yes—
130C32×C42C2313yes—
131#3757C2313yes—
132#3757C2316yes—
133#3757C2313yes—
134#3752C2313yes—
135#3752C2313yes—
136#3752C2311yescharacteristic
137#3752C2313yes—
138#3752C2316yes—
139#3752C2313yes—
140#3752C2311yescharacteristic
141C4⋊(C3⋊Dic3)C2313yes—
142C4⋊(C3⋊Dic3)C2313yes—
143#3750C2311yescharacteristic
144#3750C2313yes—
145#3750C2313yes—
146#3750C2311yescharacteristic
147C4×C3⋊Dic3C2313yes—
148#3488—91noSylow
149C2×C3×#41C2×D314yescomplemented
150C2×C3×#41C2×D314yescomplemented
151#1009—632no—
152D3×#41—632no—
153C2×#239—34no—
154C2×#239—34no—
155C2×D3×Q8—34no—
156C2×#237—312no—
157C2×D3×D4—312no—
158C2×D3×D4—312no—
159C2×D3×D4—312no—
160C2×D3×D4—324no—
161C2×#235—312no—
162C2×#235—312no—
163C22×D12—312no—
164C22×C4×D3—312no—
165C3×#127C2×D3112yescomplemented
166C3×#121C2×D3112yescomplemented
167C3×#121C2×D3112yescomplemented
168C3×C4×Q8C2×D314yescomplemented
169C3×C4×D4C2×D3112yescomplemented
170Q8×Dic3—34no—
171#940—312no—
172#939—312no—
173#939—324no—
174#938—312no—
175#938—312no—
176#938—324no—
177#937—324no—
178#937—324no—
179#937—312no—
180#936—312no—
181#930—312no—
182C4×#67—312no—
183C4×#67—312no—
184#924—312no—
185#897—312no—
186#896—34no—
187#895—312no—
188#894—312no—
189#893—312no—
190D3×C4⋊C4—312no—
191#884—312no—
192#884—324no—
193#883—312no—
194#882—312no—
195D3×C22⋊C4—324no—
196#878—312no—
197#875—312no—
198C4×D12—312no—
199C4×D12—312no—
200#872—312no—
201C23×C32C2413yes—
202C23×C32C2413yes—
203C22×C3⋊D3—26no—
204C22×C3⋊D3—26no—
205C22×C3⋊D3—212no—
206C22×C3⋊D3—43no—
207C22×C3⋊D3—46no—
208C22×C3⋊D3—46no—
209C22×C3⋊D3C2413yes—
210C22×C3⋊D3C2413yes—
211C22×C3⋊D3C2411yescharacteristic
212C32×Q8C2×D414yescomplemented
213C32×D4—26no—
214C32×D4—26no—
215C32×D4—46no—
216C32×D4—43no—
217C2×C32×C4—26no—
218C2×C32×C4—26no—
219C2×C32×C4C2411yescharacteristic
220C2×C32×C4C2413yes—
221C2×C32×C4C2411yescharacteristic
222C2×C32×C4C2411yescharacteristic
223C2×C32×C4C2413yes—
224#638—26no—
225#638—212no—
226#638—26no—
227#638—26no—
228#638—46no—
229#638—43no—
230C2×C3⋊Dic3—26no—
231C2×C3⋊Dic3C2411yescharacteristic
232C2×C3⋊Dic3C2413yes—
233C2×C3⋊Dic3C2411yescharacteristic
234C2×C3⋊Dic3C2413yes—
235C2×C3⋊Dic3C2411yescharacteristic
236C4⋊(C3⋊D3)—26no—
237C4⋊(C3⋊D3)—26no—
238C4⋊(C3⋊D3)—26no—
239C4⋊(C3⋊D3)C2×D4112yescomplemented
240C4×C3⋊D3—26no—
241C4×C3⋊D3—26no—
242C4×C3⋊D3—26no—
243C4×C3⋊D3—22no—
244C4×C3⋊D3—46no—
245C4×C3⋊D3C2×D4112yescomplemented
246#634—26no—
247#634—22no—
248C2×H(5,𝔽2)—91no—
249C22×#41—91no—
250#550—91no—
251#550C3⋊D311yescharacteristic, complemented
252#548—91no—
253#548—91no—
254#546—93no—
255#546—93no—
256D42—93no—
257D42—93no—
258#537—93no—
259#535—93no—
260#525—93no—
261C2×#121—93no—
262#520—91no—
263C23×D3—312no—
264C23×D3—324no—
265C3×#41—216no—
266C3×#41—216no—
267C2×C3×Q8C22×D314yes—
268C2×C3×D4C22×D3112yes—
269C2×C3×D4C22×D3112yes—
270C2×C3×D4C22×D3112yes—
271C2×C3×D4C22×D3124yes—
272C22×C3×C4C22×D3112yes—
273C22×C3×C4C22×D3112yes—
274C2×#67—312no—
275C2×#67—312no—
276C2×#67—324no—
277C2×#67—312no—
278C2×#67—312no—
279C2×#67—324no—
280C22×Dic3—312no—
281#239—332no—
282#239—616no—
283D3×Q8—616no—
284#237—648no—
285D3×D4—648no—
286D3×D4—648no—
287D3×D4—648no—
288D3×D4—1248no—
289#235—648no—
290#235—648no—
291C2×D12—312no—
292C2×D12—312no—
293C2×D12—312no—
294C2×D12—312no—
295C2×D12—648no—
296C2×C4×D3—312no—
297C2×C4×D3—312no—
298C2×C4×D3—312no—
299C2×C4×D3—312no—
300C2×C4×D3—34no—
301C2×C4×D3—324no—
302C2×C4×D3—648no—
303C2×Dic6—312no—
304C2×Dic6—34no—
305C3×C4⋊C4C22×D3112yes—
306C3×C4⋊C4C22×D314yes—
307C3×C22⋊C4C22×D3112yes—
308C3×C22⋊C4C22×D3112yes—
309C3×C42C22×D3112yes—
310#217—312no—
311#217—324no—
312#217—312no—
313(C2×D3)⋊C4—312no—
314(C2×D3)⋊C4—312no—
315(C2×D3)⋊C4—34no—
316(C2×D3)⋊C4—312no—
317(C2×D3)⋊C4—324no—
318(C2×D3)⋊C4—312no—
319(C2×D3)⋊C4—34no—
320C4⋊Dic3—312no—
321C4⋊Dic3—312no—
322Dic3⋊C4—34no—
323Dic3⋊C4—312no—
324Dic3⋊C4—312no—
325Dic3⋊C4—34no—
326C4×Dic3—312no—
327C22×C32—23no—
328C22×C32—23no—
329C22×C32—23no—
330C22×C32—23no—
331C22×C32—23no—
332C22×C32—23no—
333C22×C32C2511yescharacteristic
334C2×C3⋊D3—21no—
335C2×C3⋊D3—23no—
336C2×C3⋊D3—21no—
337C2×C3⋊D3—23no—
338C2×C3⋊D3—23no—
339C2×C3⋊D3—23no—
340C2×C3⋊D3—23no—
341C2×C3⋊D3—412no—
342C2×C3⋊D3—812no—
343C2×C3⋊D3C22×D416yes—
344C2×C3⋊D3H(5,𝔽2)12yescomplemented
345C32×C4—21no—
346C32×C4—21no—
347C32×C4—23no—
348C32×C4—21no—
349C32×C4C22×D416yes—
350C3⋊Dic3—23no—
351C3⋊Dic3—21no—
352C3⋊Dic3—23no—
353C3⋊Dic3—21no—
354C3⋊Dic3C22×D412yes—
355H(5,𝔽2)—188no—
356C2×#41—91no—
357C2×#41—91no—
358C2×#41—93no—
359C2×#41—93no—
360C2×#41—93no—
361C2×#41—188no—
362C2×#41C2×C3⋊D311yescharacteristic, complemented
363C2×#41C2×C3⋊D311yescharacteristic, complemented
364C22×Q8—91no—
365C22×D4—93no—
366C22×D4—93no—
367C22×D4—93no—
368C22×D4—96no—
369C22×D4—93no—
370C23×C4—93no—
371#127—93no—
372#127C2×C3⋊D313yescomplemented
373#124—93no—
374#124—93no—
375#123—93no—
376#123—93no—
377C22⋊Q8—93no—
378C22⋊Q8—91no—
379C22⋊Q8—93no—
380C22⋊Q8—93no—
381#121—96no—
382#121—93no—
383#121—93no—
384#121—96no—
385#121—93no—
386#121—93no—
387#121—93no—
388#121—93no—
389#121—96no—
390#121C2×C3⋊D313yescomplemented
391#121C2×C3⋊D313yescomplemented
392#120—93no—
393#120—96no—
394#120—96no—
395#120—93no—
396C4×Q8—91no—
397C4×Q8C2×C3⋊D311yescharacteristic, complemented
398C4×D4—93no—
399C4×D4—93no—
400C4×D4—93no—
401C4×D4—93no—
402C4×D4—93no—
403C4×D4C2×C3⋊D313yescomplemented
404#117—93no—
405C2×C4⋊C4—93no—
406C2×C22⋊C4—96no—
407C23×C3C23×D3112yes—
408C23×C3C23×D3112yes—
409C22×D3—312no—
410C22×D3—34no—
411C22×D3—312no—
412C22×D3—624no—
413C22×D3—624no—
414C22×D3—648no—
415C22×D3—1212no—
416C22×D3—1224no—
417C22×D3—1224no—
418C3×Q8D3×D4116yescomplemented
419C3×D4—224no—
420C3×D4—224no—
421C3×D4—424no—
422C3×D4—412no—
423C2×C3×C4—224no—
424C2×C3×C4—224no—
425C2×C3×C4C23×D314yes—
426C2×C3×C4C23×D3112yes—
427C2×C3×C4C23×D314yes—
428C2×C3×C4C23×D314yes—
429C2×C3×C4C23×D3112yes—
430#67—624no—
431#67—624no—
432#67—648no—
433#67—624no—
434#67—1224no—
435#67—1212no—
436C2×Dic3—34no—
437C2×Dic3—34no—
438C2×Dic3—312no—
439C2×Dic3—34no—
440C2×Dic3—312no—
441C2×Dic3—624no—
442D12—348no—
443D12—624no—
444D12—624no—
445D12—624no—
446C4×D3—348no—
447C4×D3—68no—
448C4×D3—624no—
449C4×D3—624no—
450C4×D3—624no—
451C4×D3—1224no—
452Dic6—68no—
453Dic6—624no—
454C2×C32—43no—
455C2×C32—43no—
456C2×C32C23×D411yescharacteristic
457C2×C32C2×H(5,𝔽2)11yescharacteristic
458C2×C32#58511yescharacteristic
459C3⋊D3—22no—
460C3⋊D3—26no—
461C3⋊D3—43no—
462C24—93no—
463C24—96no—
464#41—24no—
465#41—24no—
466#41—98no—
467#41—1812no—
468#41—1812no—
469#41—1812no—
470#41—184no—
471C2×Q8—91no—
472C2×Q8—93no—
473C2×Q8—184no—
474C2×Q8C22×C3⋊D311yescharacteristic
475C2×D4—93no—
476C2×D4—96no—
477C2×D4—93no—
478C2×D4—93no—
479C2×D4—93no—
480C2×D4—96no—
481C2×D4—93no—
482C2×D4—93no—
483C2×D4—93no—
484C2×D4—93no—
485C2×D4—1812no—
486C2×D4—1812no—
487C2×D4—1812no—
488C2×D4—1812no—
489C2×D4—3612no—
490C2×D4C22×C3⋊D313yes—
491C2×D4C22×C3⋊D313yes—
492C2×D4C22×C3⋊D313yes—
493C2×D4C22×C3⋊D316yes—
494C22×C4—93no—
495C22×C4—93no—
496C22×C4—93no—
497C22×C4—93no—
498C22×C4—93no—
499C22×C4—91no—
500C22×C4—96no—
501C22×C4—1812no—
502C22×C4C22×C3⋊D313yes—
503C22×C4C22×C3⋊D313yes—
504C4⋊C4—93no—
505C4⋊C4—93no—
506C4⋊C4—91no—
507C4⋊C4—91no—
508C4⋊C4—93no—
509C4⋊C4—93no—
510C4⋊C4C22×C3⋊D313yes—
511C4⋊C4C22×C3⋊D311yescharacteristic
512C22⋊C4—96no—
513C22⋊C4—93no—
514C22⋊C4—93no—
515C22⋊C4—93no—
516C22⋊C4—96no—
517C22⋊C4—93no—
518C22⋊C4—93no—
519C22⋊C4—91no—
520C22⋊C4—91no—
521C22⋊C4—93no—
522C22⋊C4C22×C3⋊D313yes—
523C22⋊C4C22×C3⋊D313yes—
524C42—93no—
525C42C22×C3⋊D313yes—
526C22×C3—212no—
527C22×C3—212no—
528C22×C3—212no—
529C22×C3—212no—
530C22×C3—212no—
531C22×C3—212no—
532C22×C3C24×D314yes—
533C2×D3—324no—
534C2×D3—38no—
535C2×D3—64no—
536C2×D3—64no—
537C2×D3—612no—
538C2×D3—612no—
539C2×D3—612no—
540C2×D3—612no—
541C2×D3—612no—
542C2×D3—1248no—
543C2×D3—2448no—
544C3×C4—24no—
545C3×C4—24no—
546C3×C4—24no—
547C3×C4—212no—
548C3×C4C2×D3×D4124yes—
549Dic3—38no—
550Dic3—612no—
551Dic3—64no—
552Dic3—64no—
553Dic3—612no—
554C32#348811yescharacteristic, complemented, Sylow
555C23—93no—
556C23—91no—
557C23—93no—
558C23—186no—
559C23—186no—
560C23—1812no—
561C23—363no—
562C23—366no—
563C23—366no—
564C23C23×C3⋊D313yes—
565C23C23×C3⋊D313yes—
566Q8—182no—
567Q8—186no—
568Q8D4×C3⋊D314yescomplemented
569D4—26no—
570D4—26no—
571D4—46no—
572D4—43no—
573D4—912no—
574D4—186no—
575D4—186no—
576D4—186no—
577D4—186no—
578D4—1812no—
579D4—186no—
580D4—186no—
581D4—366no—
582D4—363no—
583C2×C4—26no—
584C2×C4—26no—
585C2×C4—91no—
586C2×C4—912no—
587C2×C4—91no—
588C2×C4—93no—
589C2×C4—93no—
590C2×C4—91no—
591C2×C4—182no—
592C2×C4—186no—
593C2×C4—186no—
594C2×C4—186no—
595C2×C4—186no—
596C2×C4—366no—
597C2×C4C23×C3⋊D311yescharacteristic
598C2×C4C23×C3⋊D313yes—
599C2×C4C23×C3⋊D311yescharacteristic
600C2×C4C23×C3⋊D311yescharacteristic
601C2×C4C23×C3⋊D313yes—
602C2×C3—412no—
603C2×C3—412no—
604C2×C3C22×D3×D414yes—
605C2×C3#596414yes—
606C2×C3D3×H(5,𝔽2)14yes—
607D3—68no—
608D3—624no—
609D3—1212no—
610C22—23no—
611C22—23no—
612C22—23no—
613C22—23no—
614C22—23no—
615C22—23no—
616C22—96no—
617C22—92no—
618C22—181no—
619C22—181no—
620C22—183no—
621C22—183no—
622C22—183no—
623C22—183no—
624C22—183no—
625C22—3612no—
626C22—7212no—
627C22C24×C3⋊D311yescharacteristic
628C4—21no—
629C4—21no—
630C4—21no—
631C4—23no—
632C4—92no—
633C4—181no—
634C4—183no—
635C4—181no—
636C4—183no—
637C4C2×D4×C3⋊D316yes—
638C3#8676914yescomplemented
639C2—43no—
640C2—43no—
641C2—182no—
642C2—186no—
643C2—363no—
644C2C22×D4×C3⋊D311yescharacteristic
645C2#1059675611yescharacteristic
646C2C3⋊D3×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C24×C3⋊D3
commutator, socle, cosocleC22×C32C25
FittingC32×#550C2
hypercenter#550C3⋊D3
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #550

Complements

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

NH ≅ G/Ntype
1. C2×#64366C2semidirect
2. C2×#41×C3⋊D3C2semidirect
3. C32×#550C2semidirect
4. #10596305C2semidirect
5. #10596302C2semidirect
6. #10596188C2semidirect
7. #10596186C2semidirect
8. #10596083C2semidirect
9. #10596080C2semidirect
10. #10596079C2semidirect
11. C3⋊D3×#121C2semidirect
12. #10596047C2semidirect
13. #10596045C2semidirect
14. #10596021C2semidirect
15. #10596018C2semidirect
17. C2×C32×#41C22semidirect
18. C2×C32×#41C22semidirect
22. C2×#3832C22semidirect
23. C2×Q8×C3⋊D3C22semidirect
24. C2×#3830C22semidirect
25. C2×D4×C3⋊D3C22semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C2×D4×C3⋊D3C22semidirect
29. C2×#3828C22semidirect
30. C2×#3828C22semidirect
31. C22×C4⋊(C3⋊D3)C22semidirect
32. C22×C4×C3⋊D3C22semidirect
33. C32×#127C22semidirect
34. C32×#121C22semidirect
35. C32×#121C22semidirect
36. C32×C4×Q8C22semidirect
37. C32×C4×D4C22semidirect
38. Q8×C3⋊Dic3C22semidirect
39. #64149C22semidirect
40. #64148C22semidirect
41. #64148C22semidirect
42. #64147C22semidirect
43. #64147C22semidirect
44. #64147C22semidirect
45. #64146C22semidirect
46. #64146C22semidirect
47. #64146C22semidirect
48. #64145C22semidirect
49. #64139C22semidirect
50. C4×#638C22semidirect
51. C4×#638C22semidirect
52. #64133C22semidirect
53. #64106C22semidirect
54. #64105C22semidirect
55. #64104C22semidirect
56. #64103C22semidirect
57. #64102C22semidirect
58. C4⋊C4×C3⋊D3C22semidirect
59. #64093C22semidirect
60. #64093C22semidirect
61. #64092C22semidirect
62. #64091C22semidirect
63. C22⋊C4×C3⋊D3C22semidirect
64. #64087C22semidirect
65. #64084C22semidirect
66. C4×C4⋊(C3⋊D3)C22semidirect
67. C4×C4⋊(C3⋊D3)C22semidirect
68. #64081C22semidirect
71. C3×#550D3semidirect
103. #3832D4semidirect
149. C2×C3×#41C2×D3semidirect
150. C2×C3×#41C2×D3semidirect
165. C3×#127C2×D3semidirect
166. C3×#121C2×D3semidirect
167. C3×#121C2×D3semidirect
168. C3×C4×Q8C2×D3semidirect
169. C3×C4×D4C2×D3semidirect
212. C32×Q8C2×D4semidirect
239. C4⋊(C3⋊D3)C2×D4semidirect
245. C4×C3⋊D3C2×D4semidirect
251. #550C3⋊D3semidirect
344. C2×C3⋊D3H(5,𝔽2)semidirect
362. C2×#41C2×C3⋊D3semidirect
363. C2×#41C2×C3⋊D3semidirect
372. #127C2×C3⋊D3semidirect
390. #121C2×C3⋊D3semidirect
391. #121C2×C3⋊D3semidirect
397. C4×Q8C2×C3⋊D3semidirect
403. C4×D4C2×C3⋊D3semidirect
418. C3×Q8D3×D4semidirect
554. C32#3488semidirect
568. Q8D4×C3⋊D3semidirect
638. C3#86769semidirect

Maximal subgroups

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

subgroupindex
C2×#643662
C2×#41×C3⋊D32
C32×#5502
#105963052
#105963022
#105961882
#105961862
#105960832
#105960802
#105960792
C3⋊D3×#1212
#105960472
#105960452
#105960212
#105960182
#867693