Finite Group Databasebeta

← #11904665

Subgroups — #11904665

Order 1152.

3761 conjugacy classes of subgroups.

The subgroup lattice has 715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C3×#1009C211yesmaximal, characteristic, complemented
3C3×#5827C211yesmaximal, characteristic, complemented
4#10595414C212yesmaximal, complemented
5#10595410C212yesmaximal, complemented
6#10595246C216yesmaximal, complemented
7D4×#626C216yesmaximal, complemented
8#10595043C213yesmaximal, complemented
9#10595042C213yesmaximal, complemented
10#10595034C213yesmaximal, complemented
11C2×#63916C213yesmaximal, complemented
12#87285—31nomaximal
13#85900—31nomaximal
14C2×C32×#41C2211yescharacteristic
15#41×C3⋊D3—28no—
16C2×#3832C2211yescharacteristic, complemented
17C2×Q8×C3⋊D3C2211yescharacteristic, complemented
18C2×#3830C2213yescomplemented
19C2×D4×C3⋊D3C2213yescomplemented
20C2×#3828C2213yescomplemented
21C22×C4×C3⋊D3C2213yescomplemented
22C3×#1009—28no—
23C2×C3×#239C2212yescomplemented
24C2×C3×D3×D4C2216yescomplemented
25C2×C3×#235C2213yescomplemented
26C22×C3×D12C2213yescomplemented
27C22×#626C2216yescomplemented
28C3×Q8×Dic3C2212yescomplemented
29C3×D4×Dic3C2216yescomplemented
30C3×#926C2213yescomplemented
31C2×C3×C4⋊Dic3C2213yescomplemented
32#63981C2216yescomplemented
33#63978C22112yescomplemented
34#63977C22112yescomplemented
35#63962C2216yescomplemented
36C2×(C2×D3)⋊Dic3C2216yescomplemented
37#63916C2216yescomplemented
38#63916C2216yescomplemented
39#63916C2213yescomplemented
40#63916C2216yescomplemented
41#63916C2213yescomplemented
42#63911C2216yescomplemented
43#63909C2216yescomplemented
44C4×#626C2216yescomplemented
45C4×#626C2216yescomplemented
46#63871C2211yescharacteristic, complemented
47#63871C2213yescomplemented
48#63860C2216yescomplemented
49#63857C2216yescomplemented
50C2×C3×H(5,𝔽2)—31no—
51C2×#1009D311yescharacteristic, complemented
52C2×D3×#41—31no—
53C2×D3×#41—31no—
54C2×D3×#41—61no—
55C3×#520—31no—
56#5834—32no—
57#5833—33no—
58#5831—32no—
59#5828—33no—
60#5827D311yescharacteristic, complemented
61#5806—36no—
62#5805—33no—
63D4×#67—36no—
64C2×#938—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⋊D3C2313yes—
74C23×C3×D3C2316yes—
75C32×#41D418yescomplemented
76C2×C32×Q8C2311yescharacteristic
77C2×C32×D4C2313yes—
78C22×C32×C4C2313yes—
79C2×#638C2316yes—
80C22×C3⋊Dic3C2313yes—
81#3832—24no—
82Q8×C3⋊D3—24no—
83#3830—212no—
84D4×C3⋊D3—212no—
85#3828—212no—
86C2×C4⋊(C3⋊D3)C2313yes—
87C2×C4×C3⋊D3—212no—
88C2×C4×C3⋊D3C2311yescharacteristic
89C2×C4×C3⋊D3C2313yes—
90C2×C4×C3⋊D3C2313yes—
91C2×C4×C3⋊D3C2313yes—
92C2×#634C2313yes—
93C2×C3×#67C2316yes—
94C22×C3×Dic3C2316yes—
95C3×#239—28no—
96C3×D3×D4—224no—
97C3×#235—212no—
98C2×C3×D12—212no—
99C2×C3×D12C2313yes—
100C2×C3×D12C2316yes—
101C2×C3×C4×D3C2316yes—
102C2×C3×Dic6C2311yescharacteristic
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#3722C2312yes—
115#3722C2316yes—
116(C2×D3)⋊Dic3C23112yes—
117(C2×D3)⋊Dic3C2316yes—
118(C2×D3)⋊Dic3C2316yes—
119#3488—91noSylow
120C3×H(5,𝔽2)—68no—
121C2×C3×#41—21no—
122C2×C3×#41—32no—
123C2×C3×#41—33no—
124C2×C3×#41C2×D311yescharacteristic
125C2×C3×#41C2×D311yescharacteristic
126C22×C3×D4—36no—
127C22×C3×D4—33no—
128C22×#67—36no—
129#1009—28no—
130D3×#41—616no—
131D3×#41—68no—
132D3×#41—68no—
133C2×#239—31no—
134C2×#239—31no—
135C2×#239—61no—
136C2×#239C2×D312yescomplemented
137C2×D3×Q8—31no—
138C2×D3×Q8—31no—
139C2×D3×Q8—61no—
140C2×#237—33no—
141C2×#237—33no—
142C2×#237—63no—
143C2×D3×D4—33no—
144C2×D3×D4—33no—
145C2×D3×D4—63no—
146C2×D3×D4C2×D316yescomplemented
147C2×#235—33no—
148C2×#235—33no—
149C2×#235—63no—
150C2×#235C2×D313yescomplemented
151C22×D12—36no—
152C22×D12C2×D313yescomplemented
153C22×C4×D3—33no—
154C22×C4×D3—33no—
155C22×C4×D3—63no—
156C3×C4×Q8—32no—
157C3×C4×D4—36no—
158C3×#117—33no—
159C2×C3×C4⋊C4—33no—
160#953—312no—
161C2×#217—36no—
162#946—31no—
163#946—33no—
164Q8×Dic3C2×D312yescomplemented
165#940—36no—
166#939—312no—
167#938—33no—
168#938—36no—
169#938—36no—
170#938—36no—
171#938—33no—
172#937—36no—
173#936—36no—
174#935—36no—
175D4×Dic3C2×D316yescomplemented
176#930—312no—
177#930—36no—
178C4×#67—36no—
179C4×#67—36no—
180C2×(C2×D3)⋊C4—36no—
181#926C2×D313yescomplemented
182C2×C4⋊Dic3C2×D313yescomplemented
183#924—36no—
184#897—36no—
185#897—33no—
186#897—31no—
187#895—33no—
188#895—36no—
189#895—36no—
190#895—36no—
191#895—33no—
192#895—36no—
193#886—36no—
194#882—312no—
195#882—36no—
196#875—36no—
197#874—36no—
198C4×D12—36no—
199C4×D12—36no—
200C23×C32C2413yes—
201C22×C3⋊D3—26no—
202C22×C3⋊D3—26no—
203C22×C3⋊D3—43no—
204C22×C3⋊D3C2413yes—
205C22×C3⋊D3C2411yescharacteristic
206C22×C3×D3—212no—
207C22×C3×D3—46no—
208C22×C3×D3—46no—
209C22×C3×D3C2416yes—
210C32×Q8C2×D414yescomplemented
211C32×D4C2×D4112yescomplemented
212C2×C32×C4C2×D4112yescomplemented
213C2×C32×C4C2413yes—
214C2×C32×C4C2411yescharacteristic
215#638—212no—
216C2×C3⋊Dic3—26no—
217C2×C3⋊Dic3C2413yes—
218C2×C3⋊Dic3C2411yescharacteristic
219C4⋊(C3⋊D3)—26no—
220C4×C3⋊D3—22no—
221C4×C3⋊D3—26no—
222C4×C3⋊D3—26no—
223C4×C3⋊D3—26no—
224#634—26no—
225C3×#67—212no—
226C2×C3×Dic3—46no—
227C2×C3×Dic3C2412yes—
228C2×C3×Dic3C2416yes—
229C2×C3×Dic3C2412yes—
230C3×D12—26no—
231C3×D12—212no—
232C3×C4×D3—212no—
233C3×Dic6—22no—
234#626—212no—
235#626—412no—
236#626—46no—
237C2×H(5,𝔽2)—31no—
238C22×#41—91no—
239#550—92no—
240#548—92no—
241#546—96no—
242D42—96no—
243#537—93no—
244#535—93no—
245#525—93no—
246C2×#121—93no—
247#520—31no—
248C24×C3—36no—
249C23×D3—33no—
250C23×D3—33no—
251C23×D3—63no—
252C23×D3C22×D316yes—
253C3×#41—28no—
254C3×#41—68no—
255C3×#41—612no—
256C3×#41D1218yescomplemented
257C3×#41#6718yescomplemented
258C2×C3×Q8—21no—
259C2×C3×Q8—31no—
260C2×C3×Q8C22×D311yescharacteristic
261C2×C3×Q8C22×D311yescharacteristic
262C2×C3×D4—23no—
263C2×C3×D4—36no—
264C2×C3×D4—36no—
265C2×C3×D4—33no—
266C2×C3×D4—624no—
267C2×C3×D4—612no—
268C2×C3×D4C22×D313yes—
269C2×C3×D4C22×D313yes—
270C22×C3×C4—23no—
271C22×C3×C4—36no—
272C22×C3×C4—36no—
273C22×C3×C4C22×D313yes—
274C22×C3×C4C22×D313yes—
275C2×#67—36no—
276C2×#67—36no—
277C2×#67—36no—
278C2×#67—36no—
279C2×#67—312no—
280C2×#67—66no—
281C2×#67—1212no—
282C2×#67C22×D316yes—
283C22×Dic3—33no—
284C22×Dic3—33no—
285C22×Dic3—63no—
286C22×Dic3C22×D316yes—
287#239—28no—
288#239—68no—
289#239—64no—
290#239—64no—
291D3×Q8—68no—
292D3×Q8—64no—
293D3×Q8—64no—
294#237—624no—
295#237—612no—
296#237—612no—
297D3×D4—224no—
298D3×D4—624no—
299D3×D4—612no—
300D3×D4—612no—
301#235—212no—
302#235—624no—
303#235—612no—
304#235—612no—
305C2×D12—212no—
306C2×D12—36no—
307C2×D12—33no—
308C2×D12—33no—
309C2×D12—36no—
310C2×D12—312no—
311C2×D12—63no—
312C2×D12—1212no—
313C2×D12C22×D316yes—
314C2×D12C22×D313yes—
315C2×C4×D3—33no—
316C2×C4×D3—33no—
317C2×C4×D3—31no—
318C2×C4×D3—33no—
319C2×C4×D3—33no—
320C2×C4×D3—33no—
321C2×C4×D3—31no—
322C2×C4×D3—33no—
323C2×C4×D3—61no—
324C2×C4×D3—63no—
325C2×C4×D3—63no—
326C2×C4×D3—63no—
327C2×C4×D3—624no—
328C2×C4×D3—612no—
329C2×C4×D3—612no—
330C2×C4×D3C22×D316yes—
331C2×Dic6—33no—
332C2×Dic6—33no—
333C2×Dic6—63no—
334C2×Dic6C22×D311yescharacteristic
335C3×C4⋊C4—33no—
336C3×C4⋊C4—36no—
337C3×C4⋊C4—31no—
338C3×C22⋊C4—36no—
339C3×C42—36no—
340#217—312no—
341#217—36no—
342#217—36no—
343#217C22×D316yes—
344(C2×D3)⋊C4—36no—
345(C2×D3)⋊C4—36no—
346(C2×D3)⋊C4—312no—
347(C2×D3)⋊C4—32no—
348(C2×D3)⋊C4—36no—
349(C2×D3)⋊C4—32no—
350(C2×D3)⋊C4—36no—
351C4⋊Dic3—32no—
352C4⋊Dic3—36no—
353C4⋊Dic3C22×D316yes—
354C4⋊Dic3C22×D313yes—
355C4⋊Dic3C22×D311yescharacteristic
356Dic3⋊C4—36no—
357Dic3⋊C4—32no—
358C4×Dic3C22×D316yes—
359C22×C32—23no—
360C22×C32—23no—
361C22×C32C22×D416yes—
362C22×C32C2511yescharacteristic
363C2×C3⋊D3—21no—
364C2×C3⋊D3—21no—
365C2×C3⋊D3—23no—
366C2×C3⋊D3—23no—
367C2×C3⋊D3—23no—
368C2×C3⋊D3—412no—
369C2×C3⋊D3H(5,𝔽2)12yescomplemented
370C2×C3×D3—26no—
371C2×C3×D3—26no—
372C2×C3×D3—26no—
373C2×C3×D3—812no—
374C32×C4C22×D412yes—
375C32×C4C22×D416yes—
376C3⋊Dic3—23no—
377C3⋊Dic3—21no—
378C3×Dic3—22no—
379C3×Dic3—26no—
380C3×Dic3—22no—
381H(5,𝔽2)—68no—
382C2×#41—32no—
383C2×#41—33no—
384C2×#41—91no—
385C2×#41—93no—
386C2×#41—93no—
387C2×#41—188no—
388C2×#41D3211yescharacteristic
389C22×Q8—91no—
390C22×D4—36no—
391C22×D4—33no—
392C22×D4—96no—
393C22×D4—93no—
394C23×C4—93no—
395#127—96no—
396#124—96no—
397#123—96no—
398C22⋊Q8—96no—
399C22⋊Q8—91no—
400C22⋊Q8—93no—
401#121—96no—
402#121—93no—
403#121—96no—
404#121—96no—
405#121—96no—
406#121—93no—
407#121—912no—
408#120—96no—
409#120—912no—
410C4×Q8—32no—
411C4×D4—36no—
412C4×D4—96no—
413C4×D4—96no—
414#117—33no—
415C2×C4⋊C4—33no—
416C2×C22⋊C4—96no—
417C23×C3—23no—
418C23×C3—36no—
419C23×C3—612no—
420C23×C3—126no—
421C23×C3—126no—
422C23×C3C23×D313yes—
423C23×C3C23×D313yes—
424C22×D3—212no—
425C22×D3—31no—
426C22×D3—31no—
427C22×D3—33no—
428C22×D3—33no—
429C22×D3—46no—
430C22×D3—46no—
431C22×D3—61no—
432C22×D3—63no—
433C22×D3—66no—
434C22×D3—66no—
435C22×D3—612no—
436C22×D3—66no—
437C22×D3—66no—
438C22×D3—126no—
439C22×D3—123no—
440C22×D3—123no—
441C22×D3—126no—
442C22×D3C23×D316yes—
443C3×Q8—24no—
444C3×Q8—62no—
445C3×Q8C2×D1214yescomplemented
446C3×Q8C2×#6714yescomplemented
447C3×D4—212no—
448C3×D4—612no—
449C3×D4—612no—
450C3×D4—66no—
451C3×D4C2×D12112yescomplemented
452C3×D4C2×#67112yescomplemented
453C2×C3×C4—23no—
454C2×C3×C4—21no—
455C2×C3×C4—212no—
456C2×C3×C4—32no—
457C2×C3×C4—32no—
458C2×C3×C4—36no—
459C2×C3×C4—612no—
460C2×C3×C4—126no—
461C2×C3×C4C2×D12112yescomplemented
462C2×C3×C4C2×#67112yescomplemented
463C2×C3×C4C23×D313yes—
464C2×C3×C4C23×D311yescharacteristic
465C2×C3×C4C23×D313yes—
466C2×C3×C4C23×D311yescharacteristic
467#67—212no—
468#67—612no—
469#67—624no—
470#67—612no—
471#67—612no—
472#67—126no—
473#67—1212no—
474C2×Dic3—33no—
475C2×Dic3—31no—
476C2×Dic3—33no—
477C2×Dic3—31no—
478C2×Dic3—46no—
479C2×Dic3—63no—
480C2×Dic3—61no—
481C2×Dic3—612no—
482C2×Dic3—66no—
483C2×Dic3—66no—
484C2×Dic3C23×D312yes—
485C2×Dic3C23×D316yes—
486C2×Dic3C23×D312yes—
487D12—26no—
488D12—212no—
489D12—612no—
490D12—612no—
491D12—66no—
492D12—66no—
493D12—126no—
494D12—1212no—
495C4×D3—212no—
496C4×D3—64no—
497C4×D3—612no—
498C4×D3—612no—
499C4×D3—612no—
500C4×D3—62no—
501C4×D3—66no—
502C4×D3—66no—
503C4×D3—66no—
504C4×D3—62no—
505C4×D3—66no—
506C4×D3—66no—
507C4×D3—66no—
508Dic6—22no—
509Dic6—612no—
510Dic6—66no—
511Dic6—66no—
512C2×C32—26no—
513C2×C32C23×D411yescharacteristic
514C2×C32C2×H(5,𝔽2)11yescharacteristic
515C2×C32#58511yescharacteristic
516C3⋊D3—22no—
517C3⋊D3—43no—
518C3×D3—46no—
519C24—36no—
520C24—93no—
521#41—68no—
522#41—612no—
523#41—184no—
524#41—1812no—
525#41—1812no—
526#41#62618yescomplemented
527C2×Q8—31no—
528C2×Q8—93no—
529C2×Q8—184no—
530C2×Q8C2×D3211yescharacteristic
531C2×D4—36no—
532C2×D4—33no—
533C2×D4—36no—
534C2×D4—624no—
535C2×D4—612no—
536C2×D4—96no—
537C2×D4—96no—
538C2×D4—912no—
539C2×D4—96no—
540C2×D4—93no—
541C2×D4—1812no—
542C2×D4—3612no—
543C2×D4C2×D3213yes—
544C22×C4—36no—
545C22×C4—36no—
546C22×C4—93no—
547C22×C4—93no—
548C22×C4—93no—
549C22×C4—91no—
550C22×C4—93no—
551C22×C4—1812no—
552C22×C4C2×D3213yes—
553C4⋊C4—33no—
554C4⋊C4—36no—
555C4⋊C4—31no—
556C4⋊C4—92no—
557C4⋊C4—96no—
558C22⋊C4—36no—
559C22⋊C4—92no—
560C22⋊C4—96no—
561C22⋊C4—96no—
562C22⋊C4—912no—
563C22⋊C4—96no—
564C42—36no—
565C22×C3—23no—
566C22×C3—23no—
567C22×C3—23no—
568C22×C3—23no—
569C22×C3—26no—
570C22×C3—21no—
571C22×C3—43no—
572C22×C3—43no—
573C22×C3—66no—
574C22×C3—66no—
575C22×C3—66no—
576C22×C3—2412no—
577C22×C3C22×D1216yes—
578C22×C3C22×#6716yes—
579C22×C3C24×D311yescharacteristic
580C22×C3C24×D311yescharacteristic
581C2×D3—26no—
582C2×D3—26no—
583C2×D3—26no—
584C2×D3—32no—
585C2×D3—32no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—62no—
589C2×D3—61no—
590C2×D3—61no—
591C2×D3—61no—
592C2×D3—61no—
593C2×D3—66no—
594C2×D3—63no—
595C2×D3—63no—
596C2×D3—63no—
597C2×D3—63no—
598C2×D3—63no—
599C2×D3—63no—
600C2×D3—812no—
601C2×D3—123no—
602C2×D3—123no—
603C2×D3—1212no—
604C2×D3—1212no—
605C2×D3—1224no—
606C3×C4—26no—
607C3×C4—22no—
608C3×C4—62no—
609C3×C4—66no—
610C3×C4—62no—
611C3×C4C22×D1216yes—
612C3×C4C22×D1212yes—
613C3×C4C22×#6712yes—
614C3×C4C22×#6716yes—
615Dic3—26no—
616Dic3—22no—
617Dic3—22no—
618Dic3—66no—
619Dic3—62no—
620Dic3—63no—
621Dic3—61no—
622Dic3—63no—
623Dic3—61no—
624C32#348811yescharacteristic, complemented, Sylow
625C23—36no—
626C23—612no—
627C23—91no—
628C23—93no—
629C23—126no—
630C23—126no—
631C23—186no—
632C23—186no—
633C23—363no—
634C23C22×D3213yes—
635Q8—62no—
636Q8—186no—
637Q8C2×#62614yescomplemented
638D4—612no—
639D4—612no—
640D4—66no—
641D4—1812no—
642D4—1812no—
643D4—186no—
644D4—3612no—
645D4—366no—
646D4C2×#626112yescomplemented
647C2×C4—32no—
648C2×C4—36no—
649C2×C4—32no—
650C2×C4—612no—
651C2×C4—91no—
652C2×C4—93no—
653C2×C4—126no—
654C2×C4—186no—
655C2×C4—182no—
656C2×C4—186no—
657C2×C4—186no—
658C2×C4—186no—
659C2×C4C2×#626112yescomplemented
660C2×C4C22×D3213yes—
661C2×C4C22×D3211yescharacteristic
662C2×C3—26no—
663C2×C3—26no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—46no—
668C2×C3—126no—
669C2×C3C23×D1211yescharacteristic
670C2×C3D3×H(5,𝔽2)11yescharacteristic
671C2×C3D3×H(5,𝔽2)11yescharacteristic
672C2×C3#596611yescharacteristic
673C2×C3#596811yescharacteristic
674C2×C3C23×#6711yescharacteristic
675D3—46no—
676D3—64no—
677D3—62no—
678D3—62no—
679D3—126no—
680D3—123no—
681D3—123no—
682C22—23no—
683C22—23no—
684C22—66no—
685C22—66no—
686C22—66no—
687C22—92no—
688C22—181no—
689C22—181no—
690C22—183no—
691C22—183no—
692C22—183no—
693C22—2412no—
694C22—3612no—
695C22C22×#62616yes—
696C22C23×D3211yescharacteristic
697C4—66no—
698C4—62no—
699C4—62no—
700C4—181no—
701C4—183no—
702C4C22×#62616yes—
703C4C22×#62612yes—
704C3—21no—
705C3#8590011yescharacteristic, complemented
706C3#8728511yescharacteristic, complemented
707C2—26no—
708C2—126no—
709C2—182no—
710C2—363no—
711C2#1059669211yescharacteristic
712C2#1059669811yescharacteristic
713C2C23×#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×#41×C3⋊D3C2semidirect
2. C2×C3×#1009C2semidirect
3. C3×#5827C2semidirect
4. #10595414C2semidirect
5. #10595410C2semidirect
6. #10595246C2semidirect
7. D4×#626C2semidirect
8. #10595043C2semidirect
9. #10595042C2semidirect
10. #10595034C2semidirect
11. C2×#63916C2semidirect
16. C2×#3832C22semidirect
17. C2×Q8×C3⋊D3C22semidirect
18. C2×#3830C22semidirect
19. C2×D4×C3⋊D3C22semidirect
20. C2×#3828C22semidirect
21. C22×C4×C3⋊D3C22semidirect
23. C2×C3×#239C22semidirect
24. C2×C3×D3×D4C22semidirect
25. C2×C3×#235C22semidirect
26. C22×C3×D12C22semidirect
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. #63962C22semidirect
36. C2×(C2×D3)⋊Dic3C22semidirect
37. #63916C22semidirect
38. #63916C22semidirect
39. #63916C22semidirect
40. #63916C22semidirect
41. #63916C22semidirect
42. #63911C22semidirect
43. #63909C22semidirect
44. C4×#626C22semidirect
45. C4×#626C22semidirect
46. #63871C22semidirect
47. #63871C22semidirect
48. #63860C22semidirect
49. #63857C22semidirect
51. C2×#1009D3semidirect
60. #5827D3semidirect
75. C32×#41D4semidirect
136. C2×#239C2×D3semidirect
146. C2×D3×D4C2×D3semidirect
150. C2×#235C2×D3semidirect
152. C22×D12C2×D3semidirect
164. Q8×Dic3C2×D3semidirect
175. D4×Dic3C2×D3semidirect
181. #926C2×D3semidirect
182. C2×C4⋊Dic3C2×D3semidirect
210. C32×Q8C2×D4semidirect
211. C32×D4C2×D4semidirect
212. C2×C32×C4C2×D4semidirect
256. C3×#41D12semidirect
257. C3×#41#67semidirect
369. C2×C3⋊D3H(5,𝔽2)semidirect
445. C3×Q8C2×D12semidirect
446. C3×Q8C2×#67semidirect
451. C3×D4C2×D12semidirect
452. C3×D4C2×#67semidirect
461. C2×C3×C4C2×D12semidirect
462. C2×C3×C4C2×#67semidirect
526. #41#626semidirect
624. C32#3488semidirect
637. Q8C2×#626semidirect
646. D4C2×#626semidirect
659. C2×C4C2×#626semidirect
705. C3#85900semidirect
706. C3#87285semidirect

Maximal subgroups

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

subgroupindex
C2×#41×C3⋊D32
C2×C3×#10092
C3×#58272
#105954142
#105954102
#105952462
D4×#6262
#105950432
#105950422
#105950342
C2×#639162
#872853
#859003