Finite Group Databasebeta

← #11904664

Subgroups — #11904664

Order 1152.

3765 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64366C211yesmaximal, characteristic, complemented
2C2×C3×D3×#41C211yesmaximal, characteristic, complemented
3C3×#5827C211yesmaximal, characteristic, complemented
4#10595410C212yesmaximal, complemented
5#10595342C212yesmaximal, complemented
6#10595254C216yesmaximal, complemented
7D4×#626C216yesmaximal, complemented
8#10595045C213yesmaximal, complemented
9#10595043C213yesmaximal, complemented
10#10595023C213yesmaximal, complemented
11C2×#63909C213yesmaximal, complemented
12#87275—31nomaximal
13#85900—31nomaximal
14C2×C32×#41C2211yescharacteristic
15#64366—28no—
16C2×#3832C2212yescomplemented
17C2×D4×C3⋊D3C2216yescomplemented
18C2×#3828C2213yescomplemented
19C22×C4⋊(C3⋊D3)C2213yescomplemented
20C3×D3×#41—28no—
21C2×C3×#239C2211yescharacteristic, complemented
22C2×C3×D3×Q8C2211yescharacteristic, complemented
23C2×C3×#237C2213yescomplemented
24C2×C3×D3×D4C2213yescomplemented
25C2×C3×#235C2213yescomplemented
26C22×C3×C4×D3C2213yescomplemented
27C22×#626C2216yescomplemented
28C3×Q8×Dic3C2212yescomplemented
29C3×D4×Dic3C2216yescomplemented
30C3×#926C2213yescomplemented
31C2×C3×C4⋊Dic3C2213yescomplemented
32#63981C22112yescomplemented
33#63978C22112yescomplemented
34#63977C2216yescomplemented
35#63966C2216yescomplemented
36C2×#3722C2216yescomplemented
37#63916C2216yescomplemented
38#63911C2216yescomplemented
39#63909C2216yescomplemented
40#63909C2216yescomplemented
41#63909C2213yescomplemented
42#63909C2216yescomplemented
43#63909C2213yescomplemented
44C4×#626C2216yescomplemented
45C4×#626C2216yescomplemented
46#63871C2216yescomplemented
47#63864C2216yescomplemented
48#63857C2211yescharacteristic, complemented
49#63857C2213yescomplemented
50C22×C3×#41—31no—
51C2×#1009—31no—
52C2×#1009—31no—
53C2×#1009—61no—
54C2×D3×#41D311yescharacteristic, complemented
55C3×#520—31no—
56#5834—32no—
57#5833—33no—
58#5830—33no—
59#5829—36no—
60#5827D311yescharacteristic, complemented
61#5817—32no—
62D4×#67—36no—
63#5791—33no—
64C2×#930—33no—
65#5577—32no—
66#5576—32no—
67#5554—36no—
68D4×D12—36no—
69#5525—33no—
70#5524—33no—
71#5510—33no—
72C2×#895—33no—
73C23×C3⋊D3C2316yes—
74C23×C3×D3C2313yes—
75C32×#41D418yescomplemented
76C2×C32×Q8C2311yescharacteristic
77C2×C32×D4C2313yes—
78C22×C32×C4C2313yes—
79C2×#638C2316yes—
80#3832—28no—
81D4×C3⋊D3—224no—
82#3828—212no—
83C2×C4⋊(C3⋊D3)—212no—
84C2×C4⋊(C3⋊D3)C2313yes—
85C2×C4⋊(C3⋊D3)C2316yes—
86C2×C4×C3⋊D3C2316yes—
87C2×#634C2311yescharacteristic
88C2×C3×#67C2316yes—
89C22×C3×Dic3C2313yes—
90C22×C3×Dic3C2316yes—
91C3×#239—24no—
92C3×D3×Q8—24no—
93C3×#237—212no—
94C3×D3×D4—212no—
95C3×#235—212no—
96C2×C3×D12C2313yes—
97C2×C3×C4×D3—212no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×C4×D3C2313yes—
100C2×C3×C4×D3C2313yes—
101C2×C3×C4×D3C2313yes—
102C2×C3×Dic6C2313yes—
103C2×#626—412no—
104C2×#626C2316yes—
105C2×#626C23112yes—
106C2×#626C2316yes—
107C3×#217C2316yes—
108C3×C4⋊Dic3C2313yes—
109C3×C4⋊Dic3C2316yes—
110C3×C4⋊Dic3C2311yescharacteristic
111C3×C4×Dic3C2316yes—
112Dic3⋊Dic3C2316yes—
113Dic3⋊Dic3C2312yes—
114#3722C2316yes—
115#3722C23112yes—
116#3722C2316yes—
117(C2×D3)⋊Dic3C2312yes—
118(C2×D3)⋊Dic3C2316yes—
119#3488—91noSylow
120C2×C3×#41—21no—
121C2×C3×#41—31no—
122C2×C3×#41—33no—
123C2×C3×#41—33no—
124C2×C3×#41—68no—
125C2×C3×#41C2×D311yescharacteristic
126C2×C3×#41C2×D311yescharacteristic
127C22×C3×Q8—31no—
128C22×C3×D4—33no—
129C23×C3×C4—33no—
130C22×#67—36no—
131#1009—616no—
132#1009—68no—
133#1009—68no—
134D3×#41—28no—
135C2×#239—32no—
136C2×#239—32no—
137C2×#239—62no—
138C2×#239C2×D311yescharacteristic, complemented
139C2×D3×Q8C2×D311yescharacteristic, complemented
140C2×#237C2×D313yescomplemented
141C2×D3×D4—36no—
142C2×D3×D4—36no—
143C2×D3×D4—66no—
144C2×D3×D4C2×D313yescomplemented
145C2×#235—33no—
146C2×#235—33no—
147C2×#235—63no—
148C2×#235C2×D313yescomplemented
149C22×D12—33no—
150C22×D12—33no—
151C22×D12—36no—
152C22×D12—63no—
153C22×C4×D3C2×D313yescomplemented
154C3×C4×Q8—32no—
155C3×C4×D4—36no—
156C3×#117—33no—
157C2×C3×C4⋊C4—33no—
158#953—36no—
159#947—36no—
160#946—36no—
161Q8×Dic3C2×D312yescomplemented
162#940—36no—
163#939—312no—
164#938—36no—
165#937—312no—
166D4×Dic3C2×D316yescomplemented
167#930—312no—
168#930—33no—
169#930—36no—
170#930—36no—
171#930—36no—
172#930—33no—
173#929—36no—
174C4×#67—36no—
175C4×#67—36no—
176C2×(C2×D3)⋊C4—36no—
177C2×(C2×D3)⋊C4—36no—
178#926C2×D313yescomplemented
179C2×C4⋊Dic3C2×D313yescomplemented
180#924—31no—
181#924—33no—
182#897—33no—
183#897—31no—
184#897—36no—
185#895—36no—
186#895—33no—
187#895—36no—
188#895—36no—
189#895—36no—
190#895—33no—
191#886—36no—
192#882—36no—
193#882—312no—
194#875—36no—
195#874—36no—
196C4×D12—36no—
197C4×D12—36no—
198C23×C32C2413yes—
199C22×C3⋊D3—212no—
200C22×C3⋊D3—46no—
201C22×C3⋊D3—46no—
202C22×C3⋊D3C2416yes—
203C22×C3×D3—26no—
204C22×C3×D3—26no—
205C22×C3×D3—43no—
206C22×C3×D3C2413yes—
207C22×C3×D3C2411yescharacteristic
208C32×Q8C2×D414yescomplemented
209C32×D4C2×D4112yescomplemented
210C2×C32×C4C2×D4112yescomplemented
211C2×C32×C4C2413yes—
212C2×C32×C4C2411yescharacteristic
213#638—212no—
214C2×C3⋊Dic3C2412yes—
215C4⋊(C3⋊D3)—26no—
216C4⋊(C3⋊D3)—212no—
217C4×C3⋊D3—212no—
218#634—22no—
219C3×#67—212no—
220C2×C3×Dic3—26no—
221C2×C3×Dic3—46no—
222C2×C3×Dic3C2412yes—
223C2×C3×Dic3C2416yes—
224C2×C3×Dic3C2413yes—
225C2×C3×Dic3C2411yescharacteristic
226C3×D12—26no—
227C3×C4×D3—22no—
228C3×C4×D3—26no—
229C3×C4×D3—26no—
230C3×C4×D3—26no—
231C3×Dic6—26no—
232#626—212no—
233#626—412no—
234#626—46no—
235C2×H(5,𝔽2)—91no—
236C22×#41—31no—
237#550—92no—
238#548—92no—
239#546—96no—
240D42—96no—
241#537—93no—
242#535—93no—
243#525—93no—
244C2×#121—93no—
245#520—31no—
246C24×C3—33no—
247C23×D3—36no—
248C23×D3—36no—
249C23×D3—66no—
250C23×D3C22×D313yes—
251C3×#41—28no—
252C3×#41—64no—
253C3×#41—612no—
254C3×#41—612no—
255C3×#41D1218yescomplemented
256C3×#41#6718yescomplemented
257C2×C3×Q8—21no—
258C2×C3×Q8—33no—
259C2×C3×Q8—64no—
260C2×C3×Q8C22×D311yescharacteristic
261C2×C3×Q8C22×D311yescharacteristic
262C2×C3×D4—23no—
263C2×C3×D4—36no—
264C2×C3×D4—33no—
265C2×C3×D4—612no—
266C2×C3×D4C22×D313yes—
267C2×C3×D4C22×D313yes—
268C22×C3×C4—23no—
269C22×C3×C4—33no—
270C22×C3×C4—36no—
271C22×C3×C4—31no—
272C22×C3×C4—33no—
273C22×C3×C4—33no—
274C22×C3×C4—33no—
275C22×C3×C4—612no—
276C22×C3×C4C22×D313yes—
277C22×C3×C4C22×D313yes—
278C2×#67—36no—
279C2×#67—36no—
280C2×#67—36no—
281C2×#67—36no—
282C2×#67—312no—
283C2×#67—66no—
284C2×#67—1212no—
285C2×#67C22×D316yes—
286C22×Dic3C22×D313yes—
287C22×Dic3C22×D316yes—
288#239—24no—
289#239—616no—
290#239—68no—
291#239—68no—
292D3×Q8—24no—
293#237—212no—
294D3×D4—212no—
295D3×D4—648no—
296D3×D4—624no—
297D3×D4—624no—
298#235—212no—
299#235—624no—
300#235—612no—
301#235—612no—
302C2×D12—36no—
303C2×D12—36no—
304C2×D12—33no—
305C2×D12—33no—
306C2×D12—36no—
307C2×D12—36no—
308C2×D12—312no—
309C2×D12—63no—
310C2×D12—66no—
311C2×D12—624no—
312C2×D12—612no—
313C2×D12—612no—
314C2×D12—1212no—
315C2×D12C22×D313yes—
316C2×C4×D3—212no—
317C2×C4×D3—36no—
318C2×C4×D3—36no—
319C2×C4×D3—66no—
320C2×C4×D3C22×D313yes—
321C2×C4×D3C22×D313yes—
322C2×C4×D3C22×D311yescharacteristic
323C2×C4×D3C22×D313yes—
324C2×Dic6—31no—
325C2×Dic6—31no—
326C2×Dic6—61no—
327C2×Dic6C22×D313yes—
328C3×C4⋊C4—33no—
329C3×C4⋊C4—36no—
330C3×C4⋊C4—31no—
331C3×C22⋊C4—36no—
332C3×C42—36no—
333#217—32no—
334#217—36no—
335#217C22×D316yes—
336(C2×D3)⋊C4—32no—
337(C2×D3)⋊C4—36no—
338(C2×D3)⋊C4—36no—
339(C2×D3)⋊C4—36no—
340(C2×D3)⋊C4—312no—
341(C2×D3)⋊C4—36no—
342(C2×D3)⋊C4—312no—
343(C2×D3)⋊C4—36no—
344C4⋊Dic3—32no—
345C4⋊Dic3—36no—
346C4⋊Dic3C22×D313yes—
347C4⋊Dic3C22×D311yescharacteristic
348C4⋊Dic3C22×D316yes—
349Dic3⋊C4—32no—
350Dic3⋊C4—36no—
351C4×Dic3C22×D316yes—
352C22×C32—23no—
353C22×C32—23no—
354C22×C32C22×D416yes—
355C22×C32C2511yescharacteristic
356C2×C3⋊D3—26no—
357C2×C3⋊D3—26no—
358C2×C3⋊D3—26no—
359C2×C3⋊D3—812no—
360C2×C3×D3—21no—
361C2×C3×D3—21no—
362C2×C3×D3—23no—
363C2×C3×D3—23no—
364C2×C3×D3—23no—
365C2×C3×D3—412no—
366C2×C3×D3H(5,𝔽2)12yescomplemented
367C32×C4C22×D416yes—
368C32×C4C22×D412yes—
369C3⋊Dic3—22no—
370C3×Dic3—23no—
371C3×Dic3—21no—
372C3×Dic3—26no—
373C3×Dic3—22no—
374H(5,𝔽2)—188no—
375C2×#41—31no—
376C2×#41—33no—
377C2×#41—33no—
378C2×#41—68no—
379C2×#41—92no—
380C2×#41—93no—
381C2×#41D3211yescharacteristic
382C22×Q8—31no—
383C22×D4—33no—
384C22×D4—96no—
385C22×D4—96no—
386C22×D4—93no—
387C23×C4—33no—
388#127—96no—
389#124—96no—
390#123—96no—
391C22⋊Q8—91no—
392C22⋊Q8—93no—
393C22⋊Q8—96no—
394#121—93no—
395#121—96no—
396#121—96no—
397#121—96no—
398#121—93no—
399#121—96no—
400#121—912no—
401#120—912no—
402#120—96no—
403C4×Q8—32no—
404C4×D4—36no—
405C4×D4—96no—
406C4×D4—96no—
407#117—33no—
408C2×C4⋊C4—33no—
409C2×C22⋊C4—96no—
410C23×C3—23no—
411C23×C3—31no—
412C23×C3—33no—
413C23×C3—66no—
414C23×C3—66no—
415C23×C3—123no—
416C23×C3C23×D313yes—
417C23×C3C23×D313yes—
418C22×D3—26no—
419C22×D3—26no—
420C22×D3—36no—
421C22×D3—36no—
422C22×D3—43no—
423C22×D3—66no—
424C22×D3—624no—
425C22×D3—612no—
426C22×D3—612no—
427C22×D3—126no—
428C22×D3—126no—
429C22×D3—126no—
430C22×D3—126no—
431C22×D3—246no—
432C22×D3—246no—
433C22×D3C23×D313yes—
434C22×D3C23×D311yescharacteristic
435C3×Q8—24no—
436C3×Q8—66no—
437C3×Q8C2×D1214yescomplemented
438C3×Q8C2×#6714yescomplemented
439C3×D4—212no—
440C3×D4—612no—
441C3×D4—66no—
442C3×D4C2×D12112yescomplemented
443C3×D4C2×#67112yescomplemented
444C2×C3×C4—21no—
445C2×C3×C4—23no—
446C2×C3×C4—212no—
447C2×C3×C4—31no—
448C2×C3×C4—33no—
449C2×C3×C4—32no—
450C2×C3×C4—36no—
451C2×C3×C4—66no—
452C2×C3×C4—62no—
453C2×C3×C4—66no—
454C2×C3×C4—66no—
455C2×C3×C4—66no—
456C2×C3×C4—126no—
457C2×C3×C4C2×D12112yescomplemented
458C2×C3×C4C2×#67112yescomplemented
459C2×C3×C4C23×D313yes—
460C2×C3×C4C23×D311yescharacteristic
461C2×C3×C4C23×D313yes—
462C2×C3×C4C23×D311yescharacteristic
463#67—212no—
464#67—612no—
465#67—624no—
466#67—612no—
467#67—612no—
468#67—126no—
469#67—1212no—
470C2×Dic3—26no—
471C2×Dic3—32no—
472C2×Dic3—32no—
473C2×Dic3—46no—
474C2×Dic3—62no—
475C2×Dic3C23×D312yes—
476C2×Dic3C23×D316yes—
477C2×Dic3C23×D313yes—
478C2×Dic3C23×D311yescharacteristic
479D12—26no—
480D12—612no—
481D12—624no—
482D12—612no—
483D12—66no—
484D12—612no—
485D12—66no—
486D12—612no—
487D12—126no—
488D12—1212no—
489C4×D3—22no—
490C4×D3—26no—
491C4×D3—26no—
492C4×D3—26no—
493C4×D3—624no—
494C4×D3—612no—
495C4×D3—612no—
496Dic6—26no—
497Dic6—64no—
498Dic6—62no—
499Dic6—62no—
500C2×C32—26no—
501C2×C32C23×D411yescharacteristic
502C2×C32C2×H(5,𝔽2)11yescharacteristic
503C2×C32#58511yescharacteristic
504C3⋊D3—46no—
505C3×D3—22no—
506C3×D3—43no—
507C24—33no—
508C24—96no—
509#41—64no—
510#41—612no—
511#41—612no—
512#41—188no—
513#41—1812no—
514#41#62618yescomplemented
515C2×Q8—33no—
516C2×Q8—64no—
517C2×Q8—91no—
518C2×Q8C2×D3211yescharacteristic
519C2×D4—36no—
520C2×D4—33no—
521C2×D4—612no—
522C2×D4—96no—
523C2×D4—96no—
524C2×D4—912no—
525C2×D4—96no—
526C2×D4—93no—
527C2×D4—96no—
528C2×D4—1824no—
529C2×D4—1812no—
530C2×D4—3612no—
531C2×D4C2×D3213yes—
532C22×C4—33no—
533C22×C4—36no—
534C22×C4—33no—
535C22×C4—33no—
536C22×C4—31no—
537C22×C4—33no—
538C22×C4—612no—
539C22×C4—96no—
540C22×C4C2×D3213yes—
541C4⋊C4—33no—
542C4⋊C4—36no—
543C4⋊C4—31no—
544C4⋊C4—92no—
545C4⋊C4—96no—
546C22⋊C4—36no—
547C22⋊C4—96no—
548C22⋊C4—912no—
549C22⋊C4—96no—
550C22⋊C4—92no—
551C22⋊C4—96no—
552C42—36no—
553C22×C3—23no—
554C22×C3—23no—
555C22×C3—23no—
556C22×C3—23no—
557C22×C3—26no—
558C22×C3—21no—
559C22×C3—32no—
560C22×C3—43no—
561C22×C3—43no—
562C22×C3—61no—
563C22×C3—61no—
564C22×C3—63no—
565C22×C3—63no—
566C22×C3—63no—
567C22×C3—1212no—
568C22×C3C22×D1216yes—
569C22×C3C22×#6716yes—
570C22×C3C24×D311yescharacteristic
571C22×C3C24×D311yescharacteristic
572C2×D3—21no—
573C2×D3—21no—
574C2×D3—23no—
575C2×D3—23no—
576C2×D3—23no—
577C2×D3—412no—
578C2×D3—612no—
579C2×D3—66no—
580C2×D3—66no—
581C2×D3—66no—
582C2×D3—66no—
583C2×D3—66no—
584C2×D3—66no—
585C2×D3—126no—
586C2×D3—126no—
587C2×D3—2412no—
588C2×D3—2412no—
589C2×D3—2424no—
590C2×D3#100912yescomplemented
591C3×C4—22no—
592C3×C4—26no—
593C3×C4—61no—
594C3×C4—63no—
595C3×C4—66no—
596C3×C4—62no—
597C3×C4C22×D1212yes—
598C3×C4C22×D1216yes—
599C3×C4C22×#6716yes—
600C3×C4C22×#6712yes—
601Dic3—26no—
602Dic3—22no—
603Dic3—23no—
604Dic3—21no—
605Dic3—64no—
606Dic3—62no—
607Dic3—62no—
608C32#348811yescharacteristic, complemented, Sylow
609C23—31no—
610C23—33no—
611C23—66no—
612C23—66no—
613C23—96no—
614C23—123no—
615C23—1812no—
616C23—366no—
617C23—366no—
618C23C22×D3213yes—
619Q8—66no—
620Q8—182no—
621Q8C2×#62614yescomplemented
622D4—612no—
623D4—66no—
624D4—1812no—
625D4—1812no—
626D4—186no—
627D4—1812no—
628D4—3612no—
629D4—366no—
630D4C2×#626112yescomplemented
631C2×C4—32no—
632C2×C4—36no—
633C2×C4—31no—
634C2×C4—33no—
635C2×C4—66no—
636C2×C4—62no—
637C2×C4—66no—
638C2×C4—66no—
639C2×C4—66no—
640C2×C4—92no—
641C2×C4—126no—
642C2×C4—1812no—
643C2×C4C2×#626112yescomplemented
644C2×C4C22×D3213yes—
645C2×C4C22×D3211yescharacteristic
646C2×C3—26no—
647C2×C3—26no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—46no—
652C2×C3—62no—
653C2×C3—123no—
654C2×C3C23×D1211yescharacteristic
655C2×C3C2×#100911yescharacteristic
656C2×C3#596411yescharacteristic
657C2×C3D3×H(5,𝔽2)11yescharacteristic
658C2×C3#596811yescharacteristic
659C2×C3C23×#6711yescharacteristic
660D3—22no—
661D3—43no—
662D3—1212no—
663D3—126no—
664D3—126no—
665C22—23no—
666C22—23no—
667C22—32no—
668C22—61no—
669C22—61no—
670C22—63no—
671C22—63no—
672C22—63no—
673C22—1212no—
674C22—186no—
675C22—186no—
676C22—186no—
677C22—7212no—
678C22C22×#62616yes—
679C22C23×D3211yescharacteristic
680C4—66no—
681C4—62no—
682C4—61no—
683C4—63no—
684C4—182no—
685C4C22×#62612yes—
686C4C22×#62616yes—
687C3—21no—
688C3#8590011yescharacteristic, complemented
689C3#8727511yescharacteristic, complemented
690C2—26no—
691C2—62no—
692C2—123no—
693C2—366no—
694C2D3×#100911yescharacteristic
695C2#1059669711yescharacteristic
696C2C23×#62611yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×#41C22
hypercenterC2×#41D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#64366C2semidirect
2. C2×C3×D3×#41C2semidirect
3. C3×#5827C2semidirect
4. #10595410C2semidirect
5. #10595342C2semidirect
6. #10595254C2semidirect
7. D4×#626C2semidirect
8. #10595045C2semidirect
9. #10595043C2semidirect
10. #10595023C2semidirect
11. C2×#63909C2semidirect
16. C2×#3832C22semidirect
17. C2×D4×C3⋊D3C22semidirect
18. C2×#3828C22semidirect
19. C22×C4⋊(C3⋊D3)C22semidirect
21. C2×C3×#239C22semidirect
22. C2×C3×D3×Q8C22semidirect
23. C2×C3×#237C22semidirect
24. C2×C3×D3×D4C22semidirect
25. C2×C3×#235C22semidirect
26. C22×C3×C4×D3C22semidirect
27. C22×#626C22semidirect
28. C3×Q8×Dic3C22semidirect
29. C3×D4×Dic3C22semidirect
30. C3×#926C22semidirect
31. C2×C3×C4⋊Dic3C22semidirect
32. #63981C22semidirect
33. #63978C22semidirect
34. #63977C22semidirect
35. #63966C22semidirect
36. C2×#3722C22semidirect
37. #63916C22semidirect
38. #63911C22semidirect
39. #63909C22semidirect
40. #63909C22semidirect
41. #63909C22semidirect
42. #63909C22semidirect
43. #63909C22semidirect
44. C4×#626C22semidirect
45. C4×#626C22semidirect
46. #63871C22semidirect
47. #63864C22semidirect
48. #63857C22semidirect
49. #63857C22semidirect
54. C2×D3×#41D3semidirect
60. #5827D3semidirect
75. C32×#41D4semidirect
138. C2×#239C2×D3semidirect
139. C2×D3×Q8C2×D3semidirect
140. C2×#237C2×D3semidirect
144. C2×D3×D4C2×D3semidirect
148. C2×#235C2×D3semidirect
153. C22×C4×D3C2×D3semidirect
161. Q8×Dic3C2×D3semidirect
166. D4×Dic3C2×D3semidirect
178. #926C2×D3semidirect
179. C2×C4⋊Dic3C2×D3semidirect
208. C32×Q8C2×D4semidirect
209. C32×D4C2×D4semidirect
210. C2×C32×C4C2×D4semidirect
255. C3×#41D12semidirect
256. C3×#41#67semidirect
366. C2×C3×D3H(5,𝔽2)semidirect
437. C3×Q8C2×D12semidirect
438. C3×Q8C2×#67semidirect
442. C3×D4C2×D12semidirect
443. C3×D4C2×#67semidirect
457. C2×C3×C4C2×D12semidirect
458. C2×C3×C4C2×#67semidirect
514. #41#626semidirect
590. C2×D3#1009semidirect
608. C32#3488semidirect
621. Q8C2×#626semidirect
630. D4C2×#626semidirect
643. C2×C4C2×#626semidirect
688. C3#85900semidirect
689. C3#87275semidirect

Maximal subgroups

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

subgroupindex
C2×#643662
C2×C3×D3×#412
C3×#58272
#105954102
#105953422
#105952542
D4×#6262
#105950452
#105950432
#105950232
C2×#639092
#872753
#859003