Finite Group Databasebeta

← #11860316

Subgroups — #11860316

Order 1152.

1245 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64158C211yesmaximal, characteristic
2C3×Dic3×#41C211yesmaximal, characteristic, complemented
3C2×#63894C211yesmaximal, characteristic, complemented
4C3×#5232C211yesmaximal, characteristic, complemented
5#10591540C212yesmaximal, complemented
6#10591536C212yesmaximal, complemented
7#10591404C212yesmaximal, complemented
8#10591400C212yesmaximal, complemented
9#10591139C211yesmaximal, characteristic, complemented
10#10591096C211yesmaximal, characteristic, complemented
11Dic3×#208C211yesmaximal, characteristic, complemented
12C4×#949—31nomaximal
13#78866—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×#624—21no—
17#64158C418yescomplemented
18C2×#3755C2212yes—
19C2×#3753C2212yes—
20C2×#3748C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic, complemented
22C3×Q8×Dic3C2211yescharacteristic, complemented
23C3×D4×Dic3—21no—
24C3×D4×Dic3—21no—
25C3×D4×Dic3C2211yescharacteristic, complemented
26C3×D4×Dic3C2211yescharacteristic, complemented
27C3×#926—21no—
28C3×#926C2211yescharacteristic
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×C4×Dic3—21no—
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C2×#3722—21no—
34#63894—21no—
35#63894—21no—
36#63894C2212yes—
37#63894C2212yes—
38C3×#835C2212yescomplemented
39C3×#832C2212yescomplemented
40#63576C2212yescomplemented
41#63574C2212yescomplemented
42#63564C2212yes—
43#63564C2212yes—
44#63554C2212yescomplemented
45Dic3×C3⋊C8C2212yescomplemented
46C3×C4×#41—31no—
47Dic3×#41D311yescharacteristic, complemented
48C2×#949—31no—
49C2×#949—31no—
50C2×#949—61no—
51C2×#893—31no—
52C2×C4×D12—31no—
53C3×#417—31no—
54#5232D311yescharacteristic, complemented
55#5131—31no—
56Dic3×M16—31no—
57#5026—32no—
58C4×#215—32no—
59#5014—32no—
60C4×#213—32no—
61#5001—31no—
62#4995—31no—
63#4964—31no—
64C4×#208—31no—
65#4817—32no—
66#4788—32no—
67#4785—32no—
68#4756—32no—
69C23×C3⋊D3—21no—
70C32×#41—22no—
71C32×#41C2×C414yescomplemented
72C2×C32×Q8C2311yescharacteristic
73C2×C32×D4—21no—
74C2×C32×D4C2311yescharacteristic
75C22×C32×C4—21no—
76C22×C32×C4C2311yescharacteristic
77C2×C4⋊(C3⋊D3)—21no—
78C2×C4⋊(C3⋊D3)—22no—
79C2×C4⋊(C3⋊D3)C2×C414yescomplemented
80C2×C4⋊(C3⋊D3)C2312yes—
81C22×C3×Dic3—21no—
82C22×C3×Dic3—21no—
83C22×C3×Dic3—21no—
84C22×C3×Dic3D411yescharacteristic
85C22×C3×Dic3D411yescharacteristic
86C2×#624—22no—
87C2×#624—22no—
88C2×#624—44no—
89#3755C2×C418yescomplemented
90#3753C2×C418yescomplemented
91#3748C2×C414yescomplemented
92C2×C3⋊(C3⋊C8)C2312yes—
93C3×#217—21no—
94C3×#217—21no—
95C3×#217—21no—
96C3×C4⋊Dic3—21no—
97C3×C4⋊Dic3—21no—
98C3×C4⋊Dic3—21no—
99C3×C4⋊Dic3C2312yes—
100C3×C4⋊Dic3C2311yescharacteristic
101C3×C4⋊Dic3C2311yescharacteristic
102C3×C4×Dic3—21no—
103C3×C4×Dic3—21no—
104C3×C4×Dic3—21no—
105C3×C4×Dic3D411yescharacteristic
106C3×C4×Dic3D411yescharacteristic
107C3×C4×Dic3C2311yescharacteristic
108C3×C4×Dic3C2311yescharacteristic
109C3×#208—22no—
110C2×C3×C3⋊C8C2312yes—
111#3722—22no—
112#3722—22no—
113C4×AGL(1,ℤ/8)—91noSylow
114C2×C3×#41—21no—
115C2×C3×#41C2×D311yescharacteristic
116C2×C3×#41C2×D311yescharacteristic
117C22×D12—31no—
118C22×D12—31no—
119C22×D12—61no—
120C22×C4×D3—61no—
121C22×C4×D3—61no—
122C2×C3×M16—31no—
123C3×C4×Q8—31no—
124C3×C4×Q8—31no—
125C3×C4×D4—31no—
126C3×C4×D4—31no—
127C3×C4×D4—61no—
128C3×C4×D4—61no—
129C3×#117—31no—
130C3×#117—61no—
131C2×C3×C4⋊C4—31no—
132C2×C3×C42—31no—
133C2×C3×C42—61no—
134#949—38no—
135#949—38no—
136#949—68no—
137Q8×Dic3C2×D311yescharacteristic, complemented
138Q8×Dic3C2×D311yescharacteristic, complemented
139C2×#215—32no—
140C2×#215—32no—
141C2×#215—62no—
142D4×Dic3—21no—
143D4×Dic3—21no—
144D4×Dic3C2×D311yescharacteristic, complemented
145D4×Dic3C2×D311yescharacteristic, complemented
146C2×#213—32no—
147C2×#213—32no—
148C2×#213—62no—
149C2×(C2×D3)⋊C4—61no—
150C2×(C2×D3)⋊C4—61no—
151#926—21no—
152#926C2×D311yescharacteristic
153C2×C4⋊Dic3C2×D311yescharacteristic
154C2×C4×Dic3—21no—
155C2×C4×Dic3C2×D311yescharacteristic
156C2×#208—31no—
157C2×#208—31no—
158C2×#208—61no—
159C2×#208C2×D311yescharacteristic
160#893—32no—
161#893—32no—
162#893—61no—
163#893—61no—
164C4×D12—32no—
165C4×D12—32no—
166C4×D12—61no—
167C4×D12—61no—
168C3×#103—32no—
169C3×#102—32no—
170#835C2×D312yescomplemented
171#832C2×D312yescomplemented
172#821—32no—
173#821—32no—
174#815—32no—
175C8×Dic3—32no—
176#809—32no—
177#809—32no—
178#808—32no—
179#808—32no—
180#807—32no—
181#807—32no—
182#803—32no—
183C4×C3⋊C8—32no—
184C23×C32—21no—
185C23×C32C2×D411yescharacteristic
186C22×C3⋊D3—24no—
187C22×C3⋊D3—22no—
188C22×C3⋊D3—42no—
189C22×C3⋊D3—42no—
190C32×Q8—21no—
191C32×Q8C22×C412yescomplemented
192C32×D4—24no—
193C32×D4—21no—
194C32×D4C22×C412yescomplemented
195C2×C32×C4—21no—
196C2×C32×C4—24no—
197C2×C32×C4C22×C412yes—
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4#4112yes—
200C2×C32×C4C2411yescharacteristic
201C4⋊(C3⋊D3)—24no—
202C4⋊(C3⋊D3)—22no—
203C4⋊(C3⋊D3)C22×C414yes—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—21no—
207C2×C3×Dic3—21no—
208C2×C3×Dic3—41no—
209C2×C3×Dic3—42no—
210C2×C3×Dic3—42no—
211C2×C3×Dic3—42no—
212C2×C3×Dic3C2×D411yescharacteristic
213C2×C3×Dic3C2×D411yescharacteristic
214C2×C3×Dic3C2×D411yescharacteristic
215C2×C3×Dic3C2×D411yescharacteristic
216#624—44no—
217#624—44no—
218C3⋊(C3⋊C8)C22×C414yescomplemented
219C3×C3⋊C8—22no—
220C2×AGL(1,ℤ/8)—91no—
221C4×#41—31no—
222C2×C4×D4—91no—
223#442—92no—
224#440—92no—
225C4×SD16—92no—
226C4×D8—92no—
227#428—91no—
228#418—91no—
229#417—31no—
230C4×M16—91no—
231C23×D3—61no—
232C23×D3—61no—
233C23×D3—121no—
234C3×#41—22no—
235C3×#41—22no—
236C3×#41—24no—
237C3×#41—42no—
238C3×#41C4×D314yescomplemented
239C3×#41C4×D314yescomplemented
240C2×C3×Q8—21no—
241C2×C3×Q8C22×D311yescharacteristic
242C2×C3×Q8C22×D311yescharacteristic
243C2×C3×D4—21no—
244C2×C3×D4—21no—
245C2×C3×D4—21no—
246C2×C3×D4—41no—
247C2×C3×D4C22×D311yescharacteristic
248C2×C3×D4C22×D311yescharacteristic
249C22×C3×C4—21no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—31no—
253C22×C3×C4—31no—
254C22×C3×C4—41no—
255C22×C3×C4—61no—
256C22×C3×C4—61no—
257C22×C3×C4—61no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C22×Dic3—21no—
261C22×Dic3—21no—
262C22×Dic3—21no—
263C22×Dic3#6711yescharacteristic
264C22×Dic3#6711yescharacteristic
265C2×D12—34no—
266C2×D12—34no—
267C2×D12—32no—
268C2×D12—32no—
269C2×D12—62no—
270C2×D12—64no—
271C2×D12—62no—
272C2×D12—61no—
273C2×D12—62no—
274C2×D12—61no—
275C2×D12—122no—
276C2×D12—121no—
277C2×C4×D3—62no—
278C2×C4×D3—62no—
279C2×C4×D3—62no—
280C2×C4×D3—62no—
281C2×C4×D3—124no—
282C2×C4×D3—124no—
283C3×M16—62no—
284C2×C3×C8—32no—
285C3×C4⋊C4—31no—
286C3×C4⋊C4—32no—
287C3×C4⋊C4—31no—
288C3×C4⋊C4—61no—
289C3×C4⋊C4—61no—
290C3×C4⋊C4—61no—
291C3×C22⋊C4—61no—
292C3×C22⋊C4—61no—
293C3×C22⋊C4—61no—
294C3×C42—31no—
295C3×C42—31no—
296C3×C42—31no—
297C3×C42—31no—
298C3×C42—61no—
299C3×C42—61no—
300C3×C42—61no—
301#217—21no—
302#217—21no—
303#217—21no—
304#215—38no—
305#215—38no—
306#215—68no—
307#213—38no—
308#213—38no—
309#213—68no—
310(C2×D3)⋊C4—62no—
311(C2×D3)⋊C4—62no—
312(C2×D3)⋊C4—62no—
313(C2×D3)⋊C4—62no—
314C4⋊Dic3—21no—
315C4⋊Dic3—21no—
316C4⋊Dic3—21no—
317C4⋊Dic3C22×D311yescharacteristic
318C4⋊Dic3C22×D312yes—
319C4⋊Dic3C22×D311yescharacteristic
320C4×Dic3—21no—
321C4×Dic3—21no—
322C4×Dic3—21no—
323C4×Dic3#6711yescharacteristic
324C4×Dic3#6711yescharacteristic
325C4×Dic3C22×D311yescharacteristic
326C4×Dic3C22×D311yescharacteristic
327#208—22no—
328#208—34no—
329#208—34no—
330#208—64no—
331C2×C3⋊C8—32no—
332C2×C3⋊C8—32no—
333C2×C3⋊C8—62no—
334C2×C3⋊C8C22×D312yes—
335C22×C32—21no—
336C22×C32—21no—
337C22×C32—22no—
338C22×C32—41no—
339C22×C32—41no—
340C22×C32C4×D412yes—
341C22×C32C22×D411yescharacteristic
342C2×C3⋊D3—24no—
343C2×C3⋊D3—48no—
344C2×C3⋊D3—42no—
345C2×C3⋊D3—42no—
346C32×C4—22no—
347C32×C4C4×D412yes—
348C32×C4C23×C411yescharacteristic
349C32×C4C2×#4111yescharacteristic
350C3×Dic3—21no—
351C3×Dic3—21no—
352C3×Dic3—21no—
353C3×Dic3—42no—
354C3×Dic3—41no—
355C3×Dic3—41no—
356C3×Dic3AGL(1,ℤ/8)12yescomplemented
357C2×#41D3211yescharacteristic
358C22×D4—91no—
359C23×C4—181no—
360AGL(1,ℤ/8)—98no—
361C2×SD16—92no—
362C2×D8—92no—
363C2×M16—31no—
364C2×M16—91no—
365C4×Q8—31no—
366C4×Q8—31no—
367C4×D4—31no—
368C4×D4—31no—
369C4×D4—61no—
370C4×D4—61no—
371C4×D4—92no—
372C4×D4—92no—
373C4×D4—181no—
374C4×D4—181no—
375#117—31no—
376#117—61no—
377C2×C4⋊C4—31no—
378C2×C22⋊C4—181no—
379C2×C42—31no—
380C2×C42—61no—
381#107—92no—
382#106—92no—
383#103—32no—
384#102—32no—
385#102—92no—
386#102—92no—
387#97—92no—
388C4×C8—92no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—21no—
392C23×C3—41no—
393C23×C3D3×D411yescharacteristic
394C23×C3C2×#6711yescharacteristic
395C22×D3—64no—
396C22×D3—64no—
397C22×D3—62no—
398C22×D3—62no—
399C22×D3—122no—
400C22×D3—124no—
401C22×D3—122no—
402C22×D3—122no—
403C22×D3—122no—
404C22×D3—122no—
405C22×D3—242no—
406C22×D3—242no—
407C3×Q8—21no—
408C3×Q8—21no—
409C3×Q8—22no—
410C3×Q8—41no—
411C3×Q8C2×C4×D312yescomplemented
412C3×Q8C2×C4×D312yescomplemented
413C3×D4—24no—
414C3×D4—24no—
415C3×D4—21no—
416C3×D4—21no—
417C3×D4—22no—
418C3×D4—41no—
419C3×D4—44no—
420C3×D4C2×C4×D312yescomplemented
421C3×D4C2×C4×D312yescomplemented
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—24no—
425C2×C3×C4—24no—
426C2×C3×C4—21no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—21no—
430C2×C3×C4—31no—
431C2×C3×C4—31no—
432C2×C3×C4—31no—
433C2×C3×C4—31no—
434C2×C3×C4—44no—
435C2×C3×C4—41no—
436C2×C3×C4—62no—
437C2×C3×C4—61no—
438C2×C3×C4—61no—
439C2×C3×C4—62no—
440C2×C3×C4—122no—
441C2×C3×C4—121no—
442C2×C3×C4—122no—
443C2×C3×C4—122no—
444C2×C3×C4C2×C4×D312yes—
445C2×C3×C4C2×C4×D312yes—
446C2×C3×C4#23512yes—
447C2×C3×C4D3×D411yescharacteristic
448C2×C3×C4#23712yes—
449C2×C3×C4C2×#6711yescharacteristic
450C2×C3×C4C23×D311yescharacteristic
451C2×C3×C4C23×D311yescharacteristic
452C2×Dic3—22no—
453C2×Dic3—22no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—41no—
457C2×Dic3—42no—
458C2×Dic3—42no—
459C2×Dic3—42no—
460C2×Dic3C2×#6711yescharacteristic
461C2×Dic3C2×#6711yescharacteristic
462C2×Dic3C2×#6711yescharacteristic
463C2×Dic3C2×#6711yescharacteristic
464D12—34no—
465D12—34no—
466D12—64no—
467D12—64no—
468D12—64no—
469D12—62no—
470D12—62no—
471D12—122no—
472D12—124no—
473C4×D3—124no—
474C4×D3—124no—
475C4×D3—124no—
476C4×D3—124no—
477C3×C8—62no—
478C3⋊C8—22no—
479C3⋊C8—34no—
480C3⋊C8—34no—
481C3⋊C8—64no—
482C2×C32—22no—
483C2×C32—42no—
484C2×C32C2×C4×D411yescharacteristic
485C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
486C2×C32#57511yescharacteristic
487C3⋊D3—44no—
488C24—181no—
489#41—22no—
490#41#62414yescomplemented
491C2×Q8C2×D3211yescharacteristic
492C2×D4—21no—
493C2×D4—92no—
494C2×D4—94no—
495C2×D4—182no—
496C2×D4—181no—
497C2×D4C2×D3211yescharacteristic
498C22×C4—21no—
499C22×C4—31no—
500C22×C4—31no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—182no—
505C22×C4—182no—
506C22×C4—364no—
507C22×C4C2×D3211yescharacteristic
508SD16—98no—
509D8—98no—
510M16—62no—
511M16—94no—
512C2×C8—32no—
513C2×C8—92no—
514C4⋊C4—32no—
515C4⋊C4—31no—
516C4⋊C4—31no—
517C4⋊C4—61no—
518C4⋊C4—61no—
519C4⋊C4—61no—
520C22⋊C4—61no—
521C22⋊C4—61no—
522C22⋊C4—61no—
523C22⋊C4—182no—
524C22⋊C4—182no—
525C42—31no—
526C42—31no—
527C42—31no—
528C42—31no—
529C42—61no—
530C42—61no—
531C42—61no—
532C22×C3—21no—
533C22×C3—21no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—21no—
539C22×C3—22no—
540C22×C3—41no—
541C22×C3—41no—
542C22×C3—42no—
543C22×C3—41no—
544C22×C3—41no—
545C22×C3—41no—
546C22×C3—41no—
547C22×C3—81no—
548C22×C3—81no—
549C22×C3#67⋊C412yes—
550C22×C3C4×#6712yes—
551C22×C3C2×D3×D411yescharacteristic
552C22×C3C22×#6711yescharacteristic
553C2×D3—64no—
554C2×D3—64no—
555C2×D3—124no—
556C2×D3—128no—
557C2×D3—128no—
558C2×D3—122no—
559C2×D3—122no—
560C2×D3—122no—
561C2×D3—122no—
562C2×D3—242no—
563C2×D3—242no—
564C2×D3—248no—
565C3×C4—22no—
566C3×C4—22no—
567C3×C4—21no—
568C3×C4—21no—
569C3×C4—22no—
570C3×C4—32no—
571C3×C4—42no—
572C3×C4—61no—
573C3×C4—61no—
574C3×C4—61no—
575C3×C4—121no—
576C3×C4—121no—
577C3×C4—122no—
578C3×C4#67⋊C412yes—
579C3×C4C4×#6712yes—
580C3×C4C22×C4×D311yescharacteristic
581C3×C4C22×C4×D311yescharacteristic
582C3×C4C2×#23511yescharacteristic
583C3×C4C2×#23711yescharacteristic
584Dic3—21no—
585Dic3—21no—
586Dic3—21no—
587Dic3—42no—
588Dic3—41no—
589Dic3—41no—
590Dic3#94912yescomplemented
591C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
592C23—21no—
593C23—182no—
594C23—184no—
595C23—362no—
596C23—362no—
597C23D3×#6711yescharacteristic
598Q8—21no—
599Q8C2×#62412yescomplemented
600D4—24no—
601D4—21no—
602D4—94no—
603D4—182no—
604D4—184no—
605D4C2×#62412yescomplemented
606C2×C4—21no—
607C2×C4—24no—
608C2×C4—31no—
609C2×C4—31no—
610C2×C4—31no—
611C2×C4—31no—
612C2×C4—62no—
613C2×C4—61no—
614C2×C4—61no—
615C2×C4—62no—
616C2×C4—122no—
617C2×C4—121no—
618C2×C4—122no—
619C2×C4—122no—
620C2×C4—364no—
621C2×C4—364no—
622C2×C4#380412yes—
623C2×C4C2×#62412yes—
624C2×C4D3×#6711yescharacteristic
625C2×C4C22×D3211yescharacteristic
626C8—62no—
627C8—94no—
628C2×C3—22no—
629C2×C3—22no—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—21no—
633C2×C3—42no—
634C2×C3—42no—
635C2×C3—42no—
636C2×C3—82no—
637C2×C3C2×#67⋊C411yescharacteristic
638C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
639C2×C3#577711yescharacteristic
640C2×C3C2×C4×#6711yescharacteristic
641C2×C3C2×#94911yescharacteristic
642C2×C3#582211yescharacteristic
643D3—124no—
644D3—124no—
645D3—244no—
646C22—21no—
647C22—21no—
648C22—22no—
649C22—41no—
650C22—41no—
651C22—184no—
652C22—368no—
653C22—362no—
654C22—362no—
655C22#6395212yes—
656C22C2×D3×#6711yescharacteristic
657C4—22no—
658C4—32no—
659C4—61no—
660C4—61no—
661C4—61no—
662C4—122no—
663C4—121no—
664C4—121no—
665C4#6395212yes—
666C4C2×#380411yescharacteristic
667C4C22×#62411yescharacteristic
668C3—21no—
669C3#7886611yescharacteristic, complemented
670C3C4×#94911yescharacteristic, complemented
671C2—22no—
672C2—42no—
673C2—364no—
674C2D3×#94911yescharacteristic
675C2#1059547011yescharacteristic
676C2C2×#6395211yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
prime radicalC2×#64158C2
cosocleC2×C32×C4C24
hypercenterC2×#41D32
hypocenterC32C4×AGL(1,ℤ/8)
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
2. C3×Dic3×#41C2semidirect
3. C2×#63894C2semidirect
4. C3×#5232C2semidirect
5. #10591540C2semidirect
6. #10591536C2semidirect
7. #10591404C2semidirect
8. #10591400C2semidirect
9. #10591139C2semidirect
10. #10591096C2semidirect
11. Dic3×#208C2semidirect
17. #64158C4semidirect
21. C3×Q8×Dic3C22semidirect
22. C3×Q8×Dic3C22semidirect
25. C3×D4×Dic3C22semidirect
26. C3×D4×Dic3C22semidirect
38. C3×#835C22semidirect
39. C3×#832C22semidirect
40. #63576C22semidirect
41. #63574C22semidirect
44. #63554C22semidirect
45. Dic3×C3⋊C8C22semidirect
47. Dic3×#41D3semidirect
54. #5232D3semidirect
71. C32×#41C2×C4semidirect
79. C2×C4⋊(C3⋊D3)C2×C4semidirect
89. #3755C2×C4semidirect
90. #3753C2×C4semidirect
91. #3748C2×C4semidirect
137. Q8×Dic3C2×D3semidirect
138. Q8×Dic3C2×D3semidirect
144. D4×Dic3C2×D3semidirect
145. D4×Dic3C2×D3semidirect
170. #835C2×D3semidirect
171. #832C2×D3semidirect
191. C32×Q8C22×C4semidirect
194. C32×D4C22×C4semidirect
218. C3⋊(C3⋊C8)C22×C4semidirect
238. C3×#41C4×D3semidirect
239. C3×#41C4×D3semidirect
356. C3×Dic3AGL(1,ℤ/8)semidirect
411. C3×Q8C2×C4×D3semidirect
412. C3×Q8C2×C4×D3semidirect
420. C3×D4C2×C4×D3semidirect
421. C3×D4C2×C4×D3semidirect
490. #41#624semidirect
590. Dic3#949semidirect
591. C32C4×AGL(1,ℤ/8)semidirect
599. Q8C2×#624semidirect
605. D4C2×#624semidirect
669. C3#78866semidirect
670. C3C4×#949semidirect

Maximal subgroups

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

subgroupindex
C2×#641582
C3×Dic3×#412
C2×#638942
C3×#52322
#105915402
#105915362
#105914042
#105914002
#105911392
#105910962
Dic3×#2082
C4×#9493
#788663