Finite Group Databasebeta

← #11857556

Subgroups — #11857556

Order 1152.

1679 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64307C211yesmaximal, characteristic
2C3×#5521C211yesmaximal, characteristic, complemented
3#10594982C211yesmaximal, characteristic, complemented
4#10592705C211yesmaximal, characteristic, complemented
5C3×#5006C211yesmaximal, characteristic, complemented
6#10591232C211yesmaximal, characteristic, complemented
7#10591231C211yesmaximal, characteristic, complemented
8D3×#806C218yesmaximal, complemented
9#82546—31nomaximal
10#78694—31nomaximal
11C2×#3828C2211yescharacteristic
12C2×C3×#235C2211yescharacteristic
13C22×C3×D12C2211yescharacteristic
14C2×D3×#67C2214yes—
15#64307—22no—
16#64307—22no—
17#64307—22no—
18#64307—22no—
19C2×#3802C412yescomplemented
20C2×D3×D12C412yescomplemented
21C2×#3796C412yescomplemented
22C2×#3795C412yescomplemented
23C32×#117C2211yescharacteristic, complemented
24#64135C2211yescharacteristic, complemented
25C3×#926C2211yescharacteristic, complemented
26C3×#926C2211yescharacteristic, complemented
27C3×#893—22no—
28C3×D3×C22⋊C4C2214yescomplemented
29C3×C4×D12—22no—
30D3×#217C2214yescomplemented
31#63898—22no—
32Dic3×D12—22no—
33#63633C2214yescomplemented
34C3×#806C2214yescomplemented
35#63581C2214yescomplemented
36#63580C2214yescomplemented
37C2×#1009—31no—
38C2×#1004—31no—
39C3×#518—31no—
40#5798—31no—
41#5521—31no—
42#5521D311yescharacteristic, complemented
43C3×#410—31no—
44#5240—31no—
45#5006—31no—
46#5006—31no—
47#5006—31no—
48#5006—31no—
49#5006—31no—
50#5006—61no—
51#5006D311yescharacteristic, complemented
52C2×#806—38no—
53D3×#99—38no—
54C23×C3×D3C2312yes—
55C22×D32C2×C414yescomplemented
56C22×C32×C4C2311yescharacteristic
57C2×#638C2312yes—
58#3828—21no—
59#3828—21no—
60#3828—21no—
61#3828—21no—
62C2×C4⋊(C3⋊D3)C2×C411yescharacteristic, complemented
63C2×C4×C3⋊D3C2×C412yescomplemented
64C2×#634C2×C411yescharacteristic, complemented
65C2×C3×#67C2312yes—
66C3×#235—21no—
67C3×#235—21no—
68C3×#235—21no—
69C3×#235—21no—
70C2×C3×D12C2×C412yes—
71C2×C3×D12C2×C412yes—
72C2×C3×D12C2×C411yescharacteristic, complemented
73C2×C3×D12D412yes—
74C2×C3×D12D412yes—
75C2×C3×D12D412yes—
76C2×C3×D12D412yes—
77C2×C3×C4×D3—24no—
78C2×C3×C4×D3C2×C412yescomplemented
79C2×C3×Dic6C2×C411yescharacteristic, complemented
80D3×#67—28no—
81D3×#67—28no—
82C2×#626C2×C414yescomplemented
83C2×#625C2×C414yescomplemented
84C2×D3×Dic3—24no—
85C2×D3×Dic3C2×C414yescomplemented
86#3802—24no—
87#3802—24no—
88D3×D12—24no—
89D3×D12—24no—
90#3796—24no—
91#3796—24no—
92#3795—24no—
93#3795—24no—
94C32×C4⋊C4—21no—
95C32×C22⋊C4C2312yes—
96C32×C42—21no—
97#3757C2312yes—
98C4⋊(C3⋊Dic3)—21no—
99C4×C3⋊Dic3—21no—
100C3×#217C2312yes—
101C3×#217C2312yes—
102C3×(C2×D3)⋊C4—24no—
103C3×C4⋊Dic3—21no—
104C3×C4⋊Dic3—21no—
105C3×C4×Dic3—21no—
106C3×C4×Dic3—21no—
107(C2×D3)⋊Dic3—24no—
108#2883—91noSylow
109C2×C3×#41—31no—
110C22×C3×D4—31no—
111C22×#67—34no—
112#1009—62no—
113#1009—62no—
114#1009—62no—
115#1009—62no—
116C2×#239—32no—
117#1004—62no—
118#1004—62no—
119#1004—62no—
120#1004—62no—
121C2×#237—32no—
122C2×#237—32no—
123C2×D3×D4—34no—
124C2×D3×D4—32no—
125C2×D3×D4—32no—
126C2×D3×D4—32no—
127C2×#235—31no—
128C2×#235—31no—
129C2×#235—32no—
130C2×#235—61no—
131C2×#235C2×D311yescharacteristic
132C22×D12—32no—
133C22×D12C2×D311yescharacteristic
134C3×C4×D4—62no—
135C3×C4×D4—62no—
136C3×#117—21no—
137C3×#117—31no—
138C3×#117—31no—
139C3×#117C2×D311yescharacteristic, complemented
140C3×#117C2×D311yescharacteristic, complemented
141C2×C3×C22⋊C4—34no—
142C2×#217—34no—
143D4×Dic3—62no—
144D4×Dic3—62no—
145#926—31no—
146#926—31no—
147#926—61no—
148#926C2×D311yescharacteristic, complemented
149#926C2×D311yescharacteristic, complemented
150#893—22no—
151#893—62no—
152D3×C22⋊C4—34no—
153D3×C22⋊C4C2×D314yescomplemented
154C4×D12—22no—
155C4×D12—62no—
156C3×#99—34no—
157#834—34no—
158#806—34no—
159#806—34no—
160#806—34no—
161#806—34no—
162#806—34no—
163#806—64no—
164#806C2×D314yescomplemented
165C23×C32C2411yescharacteristic
166C22×C3⋊D3C22×C412yes—
167C22×C3×D3—82no—
168C22×C3×D3C22×C412yes—
169C22×C3×D3C22×C414yes—
170C22×C3×D3C2×D414yes—
171C22×C3×D3C2×D414yes—
172C2×D32—28no—
173C2×D32—84no—
174C2×C32×C4—22no—
175C2×C32×C4C22×C411yescharacteristic
176C2×C32×C4C22×C411yescharacteristic
177C2×C32×C4C2×D411yescharacteristic
178C2×C32×C4C2×D411yescharacteristic
179C2×C32×C4C2×D411yescharacteristic
180C2×C32×C4C2×D411yescharacteristic
181#638—22no—
182#638—22no—
183C2×C3⋊Dic3—22no—
184C2×C3⋊Dic3C22×C412yes—
185C4⋊(C3⋊D3)—21no—
186C4⋊(C3⋊D3)—21no—
187C4×C3⋊D3—22no—
188C4×C3⋊D3—22no—
189#634—21no—
190#634—21no—
191C3×#67—22no—
192C3×#67—22no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3C22×C412yes—
196C3×D12—21no—
197C3×D12—21no—
198C3×D12C22⋊C414yes—
199C3×D12C22⋊C414yes—
200C3×D12C22⋊C414yes—
201C3×D12C22⋊C414yes—
202C3×C4×D3—22no—
203C3×C4×D3—22no—
204C3×C4×D3—84no—
205C3×Dic6—21no—
206C3×Dic6—21no—
207#626—28no—
208#625—28no—
209D3×Dic3—28no—
210D3×Dic3—84no—
211C2×H(5,𝔽2)—91no—
212#518—31no—
213#518—91no—
214#410—31no—
215#410—91no—
216#410—91no—
217#410—91no—
218C2×#99—98no—
219C24×C3—32no—
220C23×D3—34no—
221C23×D3—34no—
222C23×D3C22×D312yes—
223C3×#41—61no—
224C3×#41—61no—
225C3×#41—61no—
226C3×#41—61no—
227C2×C3×Q8—31no—
228C2×C3×D4—32no—
229C2×C3×D4—32no—
230C2×C3×D4—32no—
231C2×C3×D4—31no—
232C2×C3×D4—32no—
233C2×C3×D4—32no—
234C2×C3×D4—32no—
235C2×C3×D4—32no—
236C22×C3×C4—21no—
237C22×C3×C4—32no—
238C22×C3×C4—64no—
239C22×C3×C4C22×D311yescharacteristic
240C22×C3×C4C22×D311yescharacteristic
241C2×#67—32no—
242C2×#67—32no—
243C2×#67—34no—
244C2×#67—34no—
245C2×#67—34no—
246C2×#67—62no—
247C2×#67—68no—
248C2×#67—68no—
249C2×#67C22×D312yes—
250C22×Dic3—34no—
251C22×Dic3—64no—
252#239—64no—
253#239—64no—
254#237—64no—
255#237—64no—
256#237—64no—
257#237—64no—
258D3×D4—64no—
259D3×D4—64no—
260D3×D4—64no—
261D3×D4—64no—
262D3×D4—68no—
263D3×D4—68no—
264D3×D4—64no—
265D3×D4—64no—
266#235—21no—
267#235—21no—
268#235—21no—
269#235—21no—
270#235—61no—
271#235—61no—
272#235—61no—
273#235—61no—
274#235—61no—
275#235—61no—
276#235—61no—
277#235—61no—
278#235—64no—
279#235—64no—
280#235—121no—
281#235—121no—
282#235—121no—
283#235—121no—
284C2×D12—34no—
285C2×D12—31no—
286C2×D12—31no—
287C2×D12—61no—
288C2×D12—64no—
289C2×D12—64no—
290C2×D12C4×D312yes—
291C2×D12C4×D312yes—
292C2×D12C4×D311yescharacteristic, complemented
293C2×D12D1212yes—
294C2×D12D1212yes—
295C2×D12#6712yes—
296C2×D12#6712yes—
297C2×C4×D3—24no—
298C2×C4×D3—34no—
299C2×C4×D3—32no—
300C2×C4×D3—32no—
301C2×C4×D3—62no—
302C2×C4×D3—64no—
303C2×C4×D3C4×D312yescomplemented
304C2×Dic6—31no—
305C2×Dic6—31no—
306C2×Dic6—61no—
307C2×Dic6C4×D311yescharacteristic, complemented
308C3×C4⋊C4—21no—
309C3×C4⋊C4—21no—
310C3×C4⋊C4—41no—
311C3×C4⋊C4—61no—
312C3×C4⋊C4—61no—
313C3×C22⋊C4—22no—
314C3×C22⋊C4—32no—
315C3×C22⋊C4—32no—
316C3×C22⋊C4—64no—
317C3×C22⋊C4C22×D312yes—
318C3×C22⋊C4C22×D312yes—
319C3×C42—21no—
320C3×C42—21no—
321C3×C42—41no—
322C3×C42—61no—
323C3×C42—61no—
324#217—32no—
325#217—32no—
326#217—62no—
327#217—64no—
328#217C22×D312yes—
329#217C22×D312yes—
330(C2×D3)⋊C4—24no—
331(C2×D3)⋊C4—64no—
332C4⋊Dic3—21no—
333C4⋊Dic3—21no—
334C4⋊Dic3—61no—
335C4⋊Dic3—61no—
336C4⋊Dic3—121no—
337C4×Dic3—21no—
338C4×Dic3—21no—
339C4×Dic3—61no—
340C4×Dic3—61no—
341C4×Dic3—121no—
342C22×C32—41no—
343C22×C32C23×C411yescharacteristic
344C22×C32C22×D411yescharacteristic
345C22×C32C22×D411yescharacteristic
346C2×C3⋊D3—22no—
347C2×C3⋊D3—42no—
348C2×C3×D3—22no—
349C2×C3×D3—44no—
350C2×C3×D3—44no—
351C2×C3×D3—44no—
352C2×C3×D3—42no—
353C2×C3×D3C2×C22⋊C418yes—
354D32—88no—
355C32×C4—42no—
356C32×C4C2×C22⋊C411yescharacteristic
357C32×C4C2×C22⋊C411yescharacteristic
358C32×C4C2×C22⋊C411yescharacteristic
359C32×C4C2×C22⋊C411yescharacteristic
360C3⋊Dic3—22no—
361C3⋊Dic3—42no—
362C3×Dic3—22no—
363C3×Dic3—42no—
364C3×Dic3—42no—
365H(5,𝔽2)—182no—
366H(5,𝔽2)—182no—
367H(5,𝔽2)—182no—
368H(5,𝔽2)—182no—
369C2×#41—31no—
370C2×#41—92no—
371C2×#41—92no—
372C2×#41—91no—
373C22×D4—31no—
374C22×D4—92no—
375C22×D4—92no—
376C22×D4—94no—
377C4×D4—62no—
378C4×D4—62no—
379C4×D4—182no—
380C4×D4—182no—
381#117—31no—
382#117—31no—
383#117—91no—
384#117D3211yescharacteristic, complemented
385C2×C22⋊C4—34no—
386C2×C22⋊C4—94no—
387#99—34no—
388#99—94no—
389#99—94no—
390#99—94no—
391C23×C3—21no—
392C23×C3—34no—
393C23×C3—34no—
394C23×C3—34no—
395C23×C3—32no—
396C23×C3—242no—
397C23×C3C23×D311yescharacteristic
398C23×C3C23×D311yescharacteristic
399C22×D3—32no—
400C22×D3—32no—
401C22×D3—62no—
402C22×D3—68no—
403C22×D3—68no—
404C22×D3—82no—
405C22×D3—244no—
406C22×D3—244no—
407C22×D3C2×C4×D312yes—
408C22×D3C2×C4×D314yes—
409C22×D3C2×D1214yes—
410C22×D3C2×#6714yes—
411C3×Q8—61no—
412C3×Q8—61no—
413C3×D4—34no—
414C3×D4—34no—
415C3×D4—34no—
416C3×D4—34no—
417C3×D4—62no—
418C3×D4—62no—
419C3×D4—61no—
420C3×D4—61no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—32no—
430C2×C3×C4—42no—
431C2×C3×C4—62no—
432C2×C3×C4—62no—
433C2×C3×C4—62no—
434C2×C3×C4—62no—
435C2×C3×C4—244no—
436C2×C3×C4C2×C4×D311yescharacteristic
437C2×C3×C4C2×C4×D311yescharacteristic
438C2×C3×C4C2×C4×D311yescharacteristic
439C2×C3×C4C2×C4×D311yescharacteristic
440C2×C3×C4C2×D1211yescharacteristic
441C2×C3×C4C2×D1211yescharacteristic
442C2×C3×C4D3×D411yescharacteristic
443C2×C3×C4D3×D411yescharacteristic
444C2×C3×C4D3×D411yescharacteristic
445C2×C3×C4D3×D411yescharacteristic
446C2×C3×C4C2×#6711yescharacteristic
447C2×C3×C4C2×#6711yescharacteristic
448#67—22no—
449#67—22no—
450#67—68no—
451#67—68no—
452#67—62no—
453#67—62no—
454#67—62no—
455#67—62no—
456#67—68no—
457#67—122no—
458#67—122no—
459C2×Dic3—22no—
460C2×Dic3—22no—
461C2×Dic3—32no—
462C2×Dic3—32no—
463C2×Dic3—62no—
464C2×Dic3—68no—
465C2×Dic3—62no—
466C2×Dic3—62no—
467C2×Dic3—122no—
468C2×Dic3—244no—
469C2×Dic3C2×C4×D312yes—
470D12—21no—
471D12—21no—
472D12—68no—
473D12—61no—
474D12—61no—
475D12—61no—
476D12—61no—
477D12—121no—
478D12—121no—
479D12(C2×D3)⋊C414yes—
480D12(C2×D3)⋊C414yes—
481D12(C2×D3)⋊C414yes—
482D12(C2×D3)⋊C414yes—
483C4×D3—22no—
484C4×D3—22no—
485C4×D3—68no—
486C4×D3—62no—
487C4×D3—62no—
488C4×D3—62no—
489C4×D3—62no—
490C4×D3—84no—
491C4×D3—122no—
492C4×D3—122no—
493C4×D3—244no—
494Dic6—21no—
495Dic6—21no—
496Dic6—61no—
497Dic6—61no—
498Dic6—61no—
499Dic6—61no—
500Dic6—121no—
501Dic6—121no—
502C2×C32—21no—
503C2×C32—21no—
504C2×C32—21no—
505C2×C32C22×C22⋊C411yescharacteristic
506C3⋊D3—42no—
507C3×D3—28no—
508C3×D3—42no—
509C24—32no—
510C24—94no—
511#41—61no—
512#41—61no—
513#41—61no—
514#41—61no—
515#41—184no—
516#41—184no—
517#41—184no—
518#41—184no—
519#41—181no—
520#41—181no—
521#41—181no—
522#41—181no—
523C2×Q8—31no—
524C2×Q8—91no—
525C2×D4—32no—
526C2×D4—32no—
527C2×D4—32no—
528C2×D4—31no—
529C2×D4—32no—
530C2×D4—32no—
531C2×D4—32no—
532C2×D4—32no—
533C2×D4—94no—
534C2×D4—94no—
535C2×D4—92no—
536C2×D4—91no—
537C2×D4—184no—
538C2×D4—184no—
539C2×D4—184no—
540C2×D4—184no—
541C2×D4—188no—
542C2×D4—188no—
543C22×C4—32no—
544C22×C4—64no—
545C22×C4—94no—
546C22×C4—92no—
547C22×C4—184no—
548C22×C4C2×D3211yescharacteristic
549C4⋊C4—21no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—181no—
553C22⋊C4—32no—
554C22⋊C4—32no—
555C22⋊C4—64no—
556C22⋊C4—92no—
557C22⋊C4—184no—
558C22⋊C4C2×D3212yes—
559C42—21no—
560C42—61no—
561C42—61no—
562C42—181no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—38no—
567C22×C3—41no—
568C22×C3—41no—
569C22×C3—62no—
570C22×C3—81no—
571C22×C3—124no—
572C22×C3—124no—
573C22×C3—124no—
574C22×C3—122no—
575C22×C3C22×C4×D311yescharacteristic
576C22×C3C22×C4×D311yescharacteristic
577C22×C3C22×D1211yescharacteristic
578C22×C3C2×D3×D411yescharacteristic
579C22×C3C2×D3×D411yescharacteristic
580C22×C3C22×#6711yescharacteristic
581C2×D3—22no—
582C2×D3—44no—
583C2×D3—44no—
584C2×D3—44no—
585C2×D3—42no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—122no—
589C2×D3—122no—
590C2×D3—122no—
591C2×D3—242no—
592C2×D3—248no—
593C2×D3—248no—
594C2×D3C2×(C2×D3)⋊C418yes—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—42no—
600C3×C4—42no—
601C3×C4—62no—
602C3×C4—82no—
603C3×C4—122no—
604C3×C4—122no—
605C3×C4D3×C22⋊C411yescharacteristic
606C3×C4D3×C22⋊C411yescharacteristic
607C3×C4D3×C22⋊C411yescharacteristic
608C3×C4D3×C22⋊C411yescharacteristic
609C3×C4C2×(C2×D3)⋊C411yescharacteristic
610C3×C4C2×(C2×D3)⋊C411yescharacteristic
611C3×C4C2×(C2×D3)⋊C411yescharacteristic
612C3×C4C2×(C2×D3)⋊C411yescharacteristic
613Dic3—22no—
614Dic3—42no—
615Dic3—42no—
616Dic3—62no—
617Dic3—62no—
618Dic3—122no—
619Dic3—122no—
620Dic3—122no—
621Dic3—242no—
622C32#288311yescharacteristic, complemented, Sylow
623C23—34no—
624C23—34no—
625C23—34no—
626C23—32no—
627C23—92no—
628C23—188no—
629C23—242no—
630C23—724no—
631C23C22×D3211yescharacteristic
632Q8—61no—
633Q8—61no—
634Q8—181no—
635Q8—181no—
636D4—34no—
637D4—34no—
638D4—34no—
639D4—34no—
640D4—62no—
641D4—62no—
642D4—61no—
643D4—61no—
644D4—188no—
645D4—188no—
646D4—182no—
647D4—182no—
648D4—181no—
649D4—181no—
650C2×C4—22no—
651C2×C4—32no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—62no—
656C2×C4—92no—
657C2×C4—188no—
658C2×C4—182no—
659C2×C4—182no—
660C2×C4—182no—
661C2×C4—244no—
662C2×C4—724no—
663C2×C4C4×D3211yescharacteristic
664C2×C4C4×D3211yescharacteristic
665C2×C4D3×D1211yescharacteristic
666C2×C4D3×D1211yescharacteristic
667C2×C4D3×#6711yescharacteristic
668C2×C4D3×#6711yescharacteristic
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—21no—
676C2×C3—41no—
677C2×C3—41no—
678C2×C3—41no—
679C2×C3—68no—
680C2×C3—122no—
681C2×C3C2×D3×C22⋊C411yescharacteristic
682C2×C3C22×(C2×D3)⋊C411yescharacteristic
683D3—28no—
684D3—42no—
685D3—122no—
686D3—122no—
687D3—242no—
688C22—38no—
689C22—41no—
690C22—62no—
691C22—124no—
692C22—124no—
693C22—124no—
694C22—122no—
695C22—182no—
696C22—362no—
697C22—728no—
698C22C2×C4×D3211yescharacteristic
699C22C2×D3×D1211yescharacteristic
700C22C2×D3×#6711yescharacteristic
701C4—42no—
702C4—62no—
703C4—122no—
704C4—122no—
705C4—182no—
706C4—362no—
707C4D3×(C2×D3)⋊C411yescharacteristic
708C4D3×(C2×D3)⋊C411yescharacteristic
709C4D3×(C2×D3)⋊C411yescharacteristic
710C4D3×(C2×D3)⋊C411yescharacteristic
711C3—21no—
712C3#7869411yescharacteristic, complemented
713C3#8254611yescharacteristic, complemented
714C2—21no—
715C2—21no—
716C2—21no—
717C2—68no—
718C2—122no—
719C2—362no—
720C2C2×D3×(C2×D3)⋊C411yescharacteristic
subgroupG/H
centerC2C2×D3×(C2×D3)⋊C4
commutatorC22×C32C23×C4
FrattiniC23C22×D32
FittingC32×#117C22
socleC2×C32C22×C22⋊C4
prime radicalC2×#64307C2
cosocleC23×C32C24
hypercenter#117D32
hypocenterC32#2883
LCSG ▷ C22×C32 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
2. C3×#5521C2semidirect
3. #10594982C2semidirect
4. #10592705C2semidirect
5. C3×#5006C2semidirect
6. #10591232C2semidirect
7. #10591231C2semidirect
8. D3×#806C2semidirect
19. C2×#3802C4semidirect
20. C2×D3×D12C4semidirect
21. C2×#3796C4semidirect
22. C2×#3795C4semidirect
23. C32×#117C22semidirect
24. #64135C22semidirect
25. C3×#926C22semidirect
26. C3×#926C22semidirect
28. C3×D3×C22⋊C4C22semidirect
30. D3×#217C22semidirect
33. #63633C22semidirect
34. C3×#806C22semidirect
35. #63581C22semidirect
36. #63580C22semidirect
42. #5521D3semidirect
51. #5006D3semidirect
55. C22×D32C2×C4semidirect
62. C2×C4⋊(C3⋊D3)C2×C4semidirect
63. C2×C4×C3⋊D3C2×C4semidirect
64. C2×#634C2×C4semidirect
72. C2×C3×D12C2×C4semidirect
78. C2×C3×C4×D3C2×C4semidirect
79. C2×C3×Dic6C2×C4semidirect
82. C2×#626C2×C4semidirect
83. C2×#625C2×C4semidirect
85. C2×D3×Dic3C2×C4semidirect
139. C3×#117C2×D3semidirect
140. C3×#117C2×D3semidirect
148. #926C2×D3semidirect
149. #926C2×D3semidirect
153. D3×C22⋊C4C2×D3semidirect
164. #806C2×D3semidirect
292. C2×D12C4×D3semidirect
303. C2×C4×D3C4×D3semidirect
307. C2×Dic6C4×D3semidirect
384. #117D32semidirect
622. C32#2883semidirect
712. C3#78694semidirect
713. C3#82546semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
C3×#55212
#105949822
#105927052
C3×#50062
#105912322
#105912312
D3×#8062
#825463
#786943