Finite Group Databasebeta

← #11867176

Subgroups — #11867176

Order 1152.

1155 conjugacy classes of subgroups.

The subgroup lattice has 733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5524C211yesmaximal, characteristic, complemented
2C2×#63908C211yesmaximal, characteristic, complemented
3C2×#63823C211yesmaximal, characteristic, complemented
4C2×D3×#208C211yesmaximal, characteristic, complemented
5#10592694C211yesmaximal, characteristic, complemented
6C3×#5001C211yesmaximal, characteristic, complemented
7#10591088C211yesmaximal, characteristic, complemented
8#10590504C212yesmaximal, complemented
9#10590503C212yesmaximal, complemented
10#10590501C212yesmaximal, complemented
11#10590499C212yesmaximal, complemented
12#82924—31nomaximal
13#78930—31nomaximal
14C2×C3×#235C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#625—21no—
18C32×#117C2211yescharacteristic
19C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C2×#3748C2211yescharacteristic
21C2×C3×#208C2211yescharacteristic
22C3×#897C2211yescharacteristic, complemented
23C3×#897C2211yescharacteristic, complemented
24C3×#895C2211yescharacteristic, complemented
25C3×#895C2211yescharacteristic, complemented
26C3×#886—21no—
27C3×#882—21no—
28C3×C4×D12—21no—
29C3×C4×D12—21no—
30C2×(C2×D3)⋊Dic3—21no—
31#63908—21no—
32#63908—21no—
33#63908C2212yes—
34#63908C2212yes—
35C2×#3715C2212yescomplemented
36#63823—24no—
37C2×#3713C2212yescomplemented
38C2×#3711C2212yescomplemented
39D3×#208—24no—
40C2×D3×C3⋊C8C2212yescomplemented
41#63635C2212yescomplemented
42#63634C2212yescomplemented
43C3×#809C2212yescomplemented
44C3×#809C2212yescomplemented
45#63566C2212yescomplemented
46#63563C2212yescomplemented
47C3×#525—31no—
48C2×#949—31no—
49C2×#938—31no—
50C2×#932—31no—
51C2×#930—31no—
52C22×#208—31no—
53C2×D3×M16—31no—
54#5524D311yescharacteristic, complemented
55C3×#418—31no—
56#5232—31no—
57#5133—31no—
58#5049—32no—
59#5048—32no—
60#5039—32no—
61#5038—32no—
62#5001D311yescharacteristic, complemented
63#4995—31no—
64#4995—31no—
65#4995—61no—
66#4782—32no—
67#4780—32no—
68#4778—32no—
69#4775—32no—
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3—21no—
74C2×C3×#67—21no—
75C22×C3×Dic3D411yescharacteristic
76C3×#235—22no—
77C3×#235—22no—
78C2×C3×D12—22no—
79C2×C3×D12—22no—
80C2×C3×D12—21no—
81C2×C3×D12—21no—
82C2×C3×D12—21no—
83C2×C3×D12C2311yescharacteristic
84C2×C3×D12C2312yes—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—21no—
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3C2311yescharacteristic
91C2×C3×C4×D3C2311yescharacteristic
92C2×C3×Dic6C2311yescharacteristic
93C2×#625—22no—
94C2×#625—22no—
95C2×#625—44no—
96C32×C4⋊C4C2311yescharacteristic
97C32×C4⋊C4C2311yescharacteristic
98C32×C22⋊C4—21no—
99C32×C42—21no—
100C4⋊(C3⋊Dic3)—21no—
101C4⋊(C3⋊Dic3)C2312yes—
102#3748D414yescomplemented
103C2×C3⋊(C3⋊C8)C2312yes—
104C3×(C2×D3)⋊C4—21no—
105C3×(C2×D3)⋊C4—21no—
106C3×(C2×D3)⋊C4—21no—
107C3×(C2×D3)⋊C4—21no—
108C3×C4⋊Dic3—21no—
109C3×C4⋊Dic3—21no—
110C3×#208—22no—
111C2×C3×C3⋊C8C2312yes—
112(C2×D3)⋊Dic3—22no—
113(C2×D3)⋊Dic3—22no—
114#3715—24no—
115#3713—24no—
116#3711—24no—
117D3×C3⋊C8—24no—
118#3055—91noSylow
119C2×C3×#41—31no—
120C22×C3×D4—31no—
121C23×C3×C4—31no—
122C22×#67—61no—
123C22×#67—61no—
124C2×#235C2×D311yescharacteristic
125C22×D12C2×D311yescharacteristic
126C22×C4×D3C2×D311yescharacteristic
127C2×C3×M16—31no—
128C3×#123—61no—
129C3×C22⋊Q8—31no—
130C3×C22⋊Q8—31no—
131C3×#121—31no—
132C3×#121—31no—
133C3×#120—61no—
134C3×C4×D4—61no—
135C3×C4×D4—61no—
136C3×#117—21no—
137C3×#117C2×D311yescharacteristic
138C3×#117C2×D311yescharacteristic
139C2×#217—61no—
140#949—64no—
141C2×#215—32no—
142#938—32no—
143#938—32no—
144#938—61no—
145#938—61no—
146C2×#214—32no—
147#932—64no—
148C2×#213—32no—
149C2×#213—32no—
150#930—32no—
151#930—32no—
152#930—61no—
153#930—61no—
154C2×(C2×D3)⋊C4—61no—
155C2×C4⋊Dic3—31no—
156C2×C4⋊Dic3—31no—
157C2×C4⋊Dic3—61no—
158C2×#208—31no—
159C2×#208—31no—
160C2×#208—32no—
161C2×#208—61no—
162C2×#208—64no—
163C2×#208C2×D311yescharacteristic
164C22×C3⋊C8—32no—
165D3×M16—64no—
166C2×ΓL(1,𝔽25)—32no—
167C2×D3×C8—32no—
168#897C2×D311yescharacteristic, complemented
169#897C2×D311yescharacteristic, complemented
170#895C2×D311yescharacteristic, complemented
171#895C2×D311yescharacteristic, complemented
172#886—21no—
173#882—21no—
174C4×D12—21no—
175C4×D12—21no—
176C3×#102—32no—
177C3×#102—32no—
178#835—32no—
179#832—32no—
180#821—32no—
181#816—32no—
182#809C2×D312yescomplemented
183#809C2×D312yescomplemented
184#808—32no—
185#808—32no—
186#808—62no—
187#807—32no—
188#807—32no—
189#807—62no—
190C23×C32C2×D411yescharacteristic
191C22×C3×D3—22no—
192C22×C3×D3—22no—
193C22×C3×D3—22no—
194C22×C3×D3—21no—
195C22×C3×D3—41no—
196C22×C3×D3—42no—
197C22×C3×D3—42no—
198C22×C3×D3—42no—
199C22×C3×D3C2×D411yescharacteristic
200C22×C3×D3C2×D411yescharacteristic
201C2×C32×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4C2×D412yes—
204C2×C32×C4C2×D411yescharacteristic
205C2×C32×C4#4112yes—
206C2×C32×C4C2411yescharacteristic
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3—42no—
209C3×#67—42no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3C2×D411yescharacteristic
213C2×C3×Dic3C2×D411yescharacteristic
214C3×D12—21no—
215C3×D12—22no—
216C3×D12—22no—
217C3×D12—21no—
218C3×D12—42no—
219C3×D12—42no—
220C3×D12—42no—
221C3×C4×D3—22no—
222C3×C4×D3—22no—
223C3×C4×D3—21no—
224C3×C4×D3—21no—
225C3×C4×D3—21no—
226C3×C4×D3—21no—
227C3×C4×D3—42no—
228C3×Dic6—21no—
229C3×Dic6—21no—
230#625—44no—
231#625—44no—
232C3⋊(C3⋊C8)C2×D414yescomplemented
233C3×C3⋊C8—22no—
234C2×AGL(1,ℤ/8)—91no—
235C22×M16—91no—
236#525—31no—
237C2×#121—91no—
238#469—92no—
239#468—92no—
240#466—92no—
241#465—92no—
242#428—91no—
243#418—31no—
244#417—91no—
245C24×C3—31no—
246C24×C3—61no—
247C23×D3—21no—
248C23×D3#6711yescharacteristic
249C3×#41—62no—
250C3×#41—62no—
251C2×C3×Q8—31no—
252C2×C3×D4—31no—
253C2×C3×D4—32no—
254C2×C3×D4—61no—
255C2×C3×D4—61no—
256C2×C3×D4—61no—
257C2×C3×D4—62no—
258C2×C3×D4—62no—
259C2×C3×D4—61no—
260C22×C3×C4—21no—
261C22×C3×C4—31no—
262C22×C3×C4—31no—
263C22×C3×C4—31no—
264C22×C3×C4—31no—
265C22×C3×C4—31no—
266C22×C3×C4—62no—
267C22×C3×C4—62no—
268C22×C3×C4—61no—
269C22×C3×C4C22×D311yescharacteristic
270C22×C3×C4C22×D311yescharacteristic
271C2×#67—21no—
272C2×#67—62no—
273C2×#67—62no—
274C2×#67—62no—
275C2×#67—62no—
276C2×#67—124no—
277C2×#67—124no—
278C22×Dic3—61no—
279C22×Dic3—61no—
280C22×Dic3—121no—
281C22×Dic3#6711yescharacteristic
282#235—22no—
283#235—22no—
284C2×D12—22no—
285C2×D12—22no—
286C2×D12—21no—
287C2×D12—21no—
288C2×D12—21no—
289C2×D12C22×D312yes—
290C2×D12C22×D311yescharacteristic
291C2×C4×D3—22no—
292C2×C4×D3—22no—
293C2×C4×D3—21no—
294C2×C4×D3#6711yescharacteristic
295C2×C4×D3#6711yescharacteristic
296C2×C4×D3C22×D311yescharacteristic
297C2×C4×D3C22×D311yescharacteristic
298C2×Dic6C22×D311yescharacteristic
299C3×M16—62no—
300C2×C3×C8—32no—
301C3×C4⋊C4—21no—
302C3×C4⋊C4—21no—
303C3×C4⋊C4—61no—
304C3×C4⋊C4—61no—
305C3×C4⋊C4C22×D311yescharacteristic
306C3×C4⋊C4C22×D311yescharacteristic
307C3×C4⋊C4C22×D311yescharacteristic
308C3×C4⋊C4C22×D311yescharacteristic
309C3×C22⋊C4—21no—
310C3×C22⋊C4—21no—
311C3×C22⋊C4—41no—
312C3×C22⋊C4—61no—
313C3×C22⋊C4—61no—
314C3×C22⋊C4—61no—
315C3×C22⋊C4—61no—
316C3×C42—21no—
317C3×C42—21no—
318C3×C42—41no—
319#217—62no—
320#217—62no—
321#215—64no—
322#214—64no—
323#213—64no—
324#213—64no—
325(C2×D3)⋊C4—21no—
326(C2×D3)⋊C4—21no—
327(C2×D3)⋊C4—21no—
328(C2×D3)⋊C4—21no—
329(C2×D3)⋊C4—62no—
330(C2×D3)⋊C4—62no—
331C4⋊Dic3—21no—
332C4⋊Dic3—21no—
333C4⋊Dic3—32no—
334C4⋊Dic3—32no—
335C4⋊Dic3—62no—
336C4⋊Dic3—61no—
337C4⋊Dic3—61no—
338C4⋊Dic3—121no—
339#208—22no—
340#208—34no—
341#208—34no—
342#208—64no—
343#208—64no—
344C2×C3⋊C8—32no—
345C2×C3⋊C8—32no—
346C2×C3⋊C8—62no—
347C2×C3⋊C8—64no—
348C2×C3⋊C8C22×D312yes—
349ΓL(1,𝔽25)—64no—
350D3×C8—64no—
351C22×C32—21no—
352C22×C32—21no—
353C22×C32#12112yes—
354C22×C32C22×D411yescharacteristic
355C2×C3×D3—21no—
356C2×C3×D3—21no—
357C2×C3×D3—21no—
358C2×C3×D3—21no—
359C2×C3×D3—21no—
360C2×C3×D3—44no—
361C2×C3×D3—41no—
362C2×C3×D3—42no—
363C2×C3×D3—42no—
364C2×C3×D3—41no—
365C2×C3×D3—41no—
366C2×C3×D3—42no—
367C2×C3×D3—84no—
368C2×C3×D3AGL(1,ℤ/8)12yescomplemented
369C32×C4—41no—
370C32×C4—41no—
371C32×C4#12112yes—
372C32×C4C22×D411yescharacteristic
373C32×C4C2×#4111yescharacteristic
374C3⋊Dic3—42no—
375C3×Dic3—21no—
376C3×Dic3—21no—
377C3×Dic3—41no—
378C2×#41—31no—
379C22×D4—31no—
380C22×D4—181no—
381C23×C4—31no—
382AGL(1,ℤ/8)—184no—
383C2×SD16—92no—
384C2×D8—92no—
385C2×M16—31no—
386C2×M16—92no—
387C2×M16—91no—
388C2×M16—184no—
389C22×C8—92no—
390#123—61no—
391C22⋊Q8—31no—
392C22⋊Q8—31no—
393#121—31no—
394#121—31no—
395#121—92no—
396#121—92no—
397#121—181no—
398#121—181no—
399#120—61no—
400C4×D4—61no—
401C4×D4—61no—
402#117D3211yescharacteristic
403C2×C4⋊C4—91no—
404C2×C22⋊C4—181no—
405#107—92no—
406#106—92no—
407#103—92no—
408#102—32no—
409#102—32no—
410#102—92no—
411C23×C3—21no—
412C23×C3—31no—
413C23×C3—31no—
414C23×C3—62no—
415C23×C3—62no—
416C23×C3—61no—
417C23×C3—62no—
418C23×C3—121no—
419C23×C3—122no—
420C23×C3—122no—
421C23×C3—122no—
422C23×C3D3×D411yescharacteristic
423C23×C3C2×#6711yescharacteristic
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—21no—
428C22×D3—41no—
429C22×D3—42no—
430C22×D3—42no—
431C22×D3—42no—
432C22×D3C2×#6711yescharacteristic
433C22×D3C2×#6711yescharacteristic
434C3×Q8—61no—
435C3×Q8—61no—
436C3×D4—61no—
437C3×D4—61no—
438C3×D4—62no—
439C3×D4—62no—
440C3×D4—122no—
441C3×D4—122no—
442C3×D4—122no—
443C3×D4—122no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—21no—
452C2×C3×C4—31no—
453C2×C3×C4—31no—
454C2×C3×C4—41no—
455C2×C3×C4—41no—
456C2×C3×C4—62no—
457C2×C3×C4—62no—
458C2×C3×C4—62no—
459C2×C3×C4—61no—
460C2×C3×C4—61no—
461C2×C3×C4—61no—
462C2×C3×C4—61no—
463C2×C3×C4—61no—
464C2×C3×C4—122no—
465C2×C3×C4#23512yes—
466C2×C3×C4D3×D412yes—
467C2×C3×C4D3×D412yes—
468C2×C3×C4D3×D411yescharacteristic
469C2×C3×C4#23712yes—
470C2×C3×C4C2×#6711yescharacteristic
471C2×C3×C4C23×D311yescharacteristic
472C2×C3×C4C23×D311yescharacteristic
473#67—42no—
474#67—124no—
475#67—124no—
476#67—124no—
477#67—124no—
478C2×Dic3—22no—
479C2×Dic3—21no—
480C2×Dic3—62no—
481C2×Dic3—62no—
482C2×Dic3—122no—
483C2×Dic3—122no—
484C2×Dic3—122no—
485C2×Dic3—242no—
486C2×Dic3C2×#6711yescharacteristic
487C2×Dic3C2×#6711yescharacteristic
488D12—22no—
489D12—21no—
490D12—22no—
491D12—21no—
492D12—42no—
493D12—42no—
494D12—42no—
495C4×D3—22no—
496C4×D3—22no—
497C4×D3—21no—
498C4×D3—21no—
499C4×D3—21no—
500C4×D3—21no—
501C4×D3—42no—
502Dic6—21no—
503Dic6—21no—
504C3×C8—62no—
505C3⋊C8—22no—
506C3⋊C8—34no—
507C3⋊C8—34no—
508C3⋊C8—64no—
509C2×C32—22no—
510C2×C32C2×#12111yescharacteristic
511C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
512C2×C32#57511yescharacteristic
513C3×D3—22no—
514C3×D3—41no—
515C3×D3—81no—
516C3×D3—82no—
517C24—31no—
518C24—61no—
519#41—62no—
520#41—62no—
521C2×Q8—31no—
522C2×D4—32no—
523C2×D4—31no—
524C2×D4—61no—
525C2×D4—61no—
526C2×D4—61no—
527C2×D4—62no—
528C2×D4—62no—
529C2×D4—61no—
530C2×D4—182no—
531C2×D4—182no—
532C2×D4—364no—
533C22×C4—31no—
534C22×C4—31no—
535C22×C4—31no—
536C22×C4—31no—
537C22×C4—31no—
538C22×C4—62no—
539C22×C4—62no—
540C22×C4—61no—
541C22×C4—181no—
542C22×C4C2×D3211yescharacteristic
543SD16—184no—
544D8—184no—
545M16—62no—
546M16—94no—
547M16—184no—
548C2×C8—32no—
549C2×C8—92no—
550C2×C8—184no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—92no—
554C4⋊C4—181no—
555C4⋊C4C2×D3211yescharacteristic
556C4⋊C4C2×D3211yescharacteristic
557C22⋊C4—21no—
558C22⋊C4—61no—
559C22⋊C4—61no—
560C22⋊C4—61no—
561C22⋊C4—61no—
562C22⋊C4—182no—
563C22⋊C4—182no—
564C42—21no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—22no—
571C22×C3—32no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—61no—
575C22×C3—61no—
576C22×C3—61no—
577C22×C3—61no—
578C22×C3—61no—
579C22×C3—124no—
580C22×C3—121no—
581C22×C3—121no—
582C22×C3—121no—
583C22×C3—122no—
584C22×C3—122no—
585C22×C3—122no—
586C22×C3—244no—
587C22×C3#88412yes—
588C22×C3#93912yes—
589C22×C3C2×D3×D411yescharacteristic
590C22×C3C22×#6711yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—21no—
594C2×D3—21no—
595C2×D3—21no—
596C2×D3—44no—
597C2×D3—42no—
598C2×D3—42no—
599C2×D3—42no—
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—84no—
604C2×D3#94912yescomplemented
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—22no—
608C3×C4—41no—
609C3×C4—41no—
610C3×C4—41no—
611C3×C4—41no—
612C3×C4—61no—
613C3×C4—61no—
614C3×C4—81no—
615C3×C4—81no—
616C3×C4—121no—
617C3×C4#88412yes—
618C3×C4#93912yes—
619C3×C4C2×#23511yescharacteristic
620C3×C4C2×D3×D411yescharacteristic
621C3×C4C2×D3×D411yescharacteristic
622C3×C4C2×#23711yescharacteristic
623Dic3—21no—
624Dic3—21no—
625Dic3—41no—
626Dic3—122no—
627Dic3—122no—
628Dic3—242no—
629C32#305511yescharacteristic, complemented, Sylow
630C23—31no—
631C23—31no—
632C23—62no—
633C23—62no—
634C23—61no—
635C23—62no—
636C23—121no—
637C23—122no—
638C23—122no—
639C23—122no—
640C23D3×#6711yescharacteristic
641Q8—61no—
642Q8—61no—
643D4—62no—
644D4—61no—
645D4—61no—
646D4—62no—
647D4—122no—
648D4—122no—
649D4—122no—
650D4—122no—
651D4—364no—
652D4—364no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—31no—
656C2×C4—31no—
657C2×C4—62no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—61no—
665C2×C4—122no—
666C2×C4—182no—
667C2×C4—362no—
668C2×C4#379512yes—
669C2×C4#380212yes—
670C2×C4D3×#6711yescharacteristic
671C2×C4C22×D3211yescharacteristic
672C8—62no—
673C8—94no—
674C2×C3—22no—
675C2×C3—22no—
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—42no—
680C2×C3—62no—
681C2×C3—121no—
682C2×C3—241no—
683C2×C3—242no—
684C2×C3C2×#88411yescharacteristic
685C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
686C2×C3#577311yescharacteristic
687C2×C3C2×#93911yescharacteristic
688C2×C3C2×#94911yescharacteristic
689C2×C3#582211yescharacteristic
690D3—22no—
691D3—41no—
692D3—82no—
693D3—81no—
694C22—21no—
695C22—21no—
696C22—32no—
697C22—61no—
698C22—61no—
699C22—61no—
700C22—61no—
701C22—61no—
702C22—124no—
703C22—121no—
704C22—122no—
705C22—121no—
706C22—122no—
707C22—121no—
708C22—122no—
709C22—244no—
710C22#6388512yes—
711C22C2×D3×#6711yescharacteristic
712C4—41no—
713C4—41no—
714C4—61no—
715C4—61no—
716C4—121no—
717C4—362no—
718C4#6388512yes—
719C4C2×#379511yescharacteristic
720C4C2×#380211yescharacteristic
721C3—21no—
722C3#7893011yescharacteristic, complemented
723C3#8292411yescharacteristic, complemented
724C2—22no—
725C2—62no—
726C2—121no—
727C2—242no—
728C2—241no—
729C2C2×#6388511yescharacteristic
730C2D3×#94911yescharacteristic
731C2#1059546911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#117C22
socleC22×C32C22×D4
hypercenter#117D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
1. C3×#5524C2semidirect
2. C2×#63908C2semidirect
3. C2×#63823C2semidirect
4. C2×D3×#208C2semidirect
5. #10592694C2semidirect
6. C3×#5001C2semidirect
7. #10591088C2semidirect
8. #10590504C2semidirect
9. #10590503C2semidirect
10. #10590501C2semidirect
11. #10590499C2semidirect
22. C3×#897C22semidirect
23. C3×#897C22semidirect
24. C3×#895C22semidirect
25. C3×#895C22semidirect
35. C2×#3715C22semidirect
37. C2×#3713C22semidirect
38. C2×#3711C22semidirect
40. C2×D3×C3⋊C8C22semidirect
41. #63635C22semidirect
42. #63634C22semidirect
43. C3×#809C22semidirect
44. C3×#809C22semidirect
45. #63566C22semidirect
46. #63563C22semidirect
54. #5524D3semidirect
62. #5001D3semidirect
102. #3748D4semidirect
168. #897C2×D3semidirect
169. #897C2×D3semidirect
170. #895C2×D3semidirect
171. #895C2×D3semidirect
182. #809C2×D3semidirect
183. #809C2×D3semidirect
232. C3⋊(C3⋊C8)C2×D4semidirect
368. C2×C3×D3AGL(1,ℤ/8)semidirect
604. C2×D3#949semidirect
629. C32#3055semidirect
722. C3#78930semidirect
723. C3#82924semidirect

Maximal subgroups

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

subgroupindex
C3×#55242
C2×#639082
C2×#638232
C2×D3×#2082
#105926942
C3×#50012
#105910882
#105905042
#105905032
#105905012
#105904992
#829243
#789303