Finite Group Databasebeta

← #11867174

Subgroups — #11867174

Order 1152.

1245 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×M16×C3⋊D3C211yesmaximal, characteristic, complemented
2#10595034C211yesmaximal, characteristic, complemented
3C2×#63916C211yesmaximal, characteristic, complemented
4C2×#63823C211yesmaximal, characteristic, complemented
5C3×#5133C211yesmaximal, characteristic, complemented
6C3×#5131C211yesmaximal, characteristic, complemented
7#10591139C211yesmaximal, characteristic, complemented
8#10590842C212yesmaximal, complemented
9#10590841C212yesmaximal, complemented
10#10590840C212yesmaximal, complemented
11#10590839C212yesmaximal, complemented
12#78930—31nomaximal
13#78888—31nomaximal
14C22×C4×C3⋊D3C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×#626—21no—
18C2×C32×M16C2211yescharacteristic
19C2×#3748C2211yescharacteristic
20M16×C3⋊D3—24no—
21C2×#3743C2212yescomplemented
22C2×C8×C3⋊D3C2212yescomplemented
23C3×#926C2211yescharacteristic
24C2×C3×C4⋊Dic3C2211yescharacteristic
25#63981—21no—
26#63962—21no—
27C2×(C2×D3)⋊Dic3—21no—
28#63916—21no—
29#63916—21no—
30#63916C2212yes—
31#63916C2212yes—
32#63916C2211yescharacteristic, complemented
33#63916C2211yescharacteristic, complemented
34C4×#626—21no—
35C4×#626—21no—
36#63871C2211yescharacteristic, complemented
37#63871C2211yescharacteristic, complemented
38C2×#3715C2212yescomplemented
39#63823—24no—
40C2×#3713C2212yescomplemented
41C3×#821C2212yescomplemented
42C3×#821C2212yescomplemented
43C3×#821C2212yescomplemented
44C3×#816C2212yescomplemented
45#63576C2212yescomplemented
46#63574C2212yescomplemented
47#5828—31no—
48C2×#949—31no—
49C2×#938—31no—
50C2×#932—31no—
51C2×D3×M16—31no—
52C2×D3×M16—31no—
53C2×D3×M16—61no—
54#5524—31no—
55C2×#895—31no—
56C3×#418—31no—
57C3×#417—31no—
58#5133D311yescharacteristic, complemented
59#5131D311yescharacteristic, complemented
60#4995—31no—
61#4964—31no—
62#4812—32no—
63#4807—32no—
64#4782—32no—
65#4782—32no—
66#4780—32no—
67#4778—32no—
68#4775—32no—
69#4775—32no—
70C23×C3⋊D3D411yescharacteristic
71C23×C3×D3—21no—
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3D411yescharacteristic
74C2×C4×C3⋊D3—22no—
75C2×C4×C3⋊D3—22no—
76C2×C4×C3⋊D3D411yescharacteristic
77C2×C4×C3⋊D3D411yescharacteristic
78C2×C4×C3⋊D3C2311yescharacteristic
79C2×C4×C3⋊D3C2311yescharacteristic
80C2×C3×#67—21no—
81C22×C3×Dic3—21no—
82C3×#235—22no—
83C3×#235—22no—
84C2×C3×D12—22no—
85C2×C3×D12—22no—
86C2×C3×D12—21no—
87C2×C3×D12C2311yescharacteristic
88C2×C3×D12C2312yes—
89C2×C3×C4×D3—21no—
90C2×C3×Dic6C2311yescharacteristic
91C2×#626—22no—
92C2×#626—22no—
93C2×#626—21no—
94C2×#626—21no—
95C2×#626—44no—
96C32×M16—22no—
97C2×C32×C8C2312yes—
98#3748D414yescomplemented
99C2×C3⋊(C3⋊C8)C2312yes—
100#3743—24no—
101C8×C3⋊D3—24no—
102C3×#217—21no—
103C3×C4⋊Dic3—21no—
104C3×C4⋊Dic3C2312yes—
105C3×C4⋊Dic3C2311yescharacteristic
106C3×C4⋊Dic3C2311yescharacteristic
107C3×C4×Dic3—21no—
108Dic3⋊Dic3—21no—
109Dic3⋊Dic3—21no—
110#3722—21no—
111#3722—21no—
112(C2×D3)⋊Dic3—21no—
113(C2×D3)⋊Dic3—21no—
114(C2×D3)⋊Dic3—22no—
115(C2×D3)⋊Dic3—22no—
116#3715—24no—
117#3713—24no—
118#3055—91noSylow
119C2×C3×#41—31no—
120C22×C3×D4—31no—
121C22×#67—61no—
122C2×#235C2×D311yescharacteristic
123C22×D12—61no—
124C22×D12C2×D311yescharacteristic
125C22×C4×D3—31no—
126C22×C4×D3—31no—
127C22×C4×D3—61no—
128C2×C3×M16—21no—
129C2×C3×M16C2×D311yescharacteristic
130C2×C3×M16C2×D311yescharacteristic
131C3×#117—31no—
132C2×C3×C4⋊C4—31no—
133C2×#217—61no—
134#949—64no—
135#946—31no—
136#946—31no—
137C2×#215—32no—
138#938—31no—
139#938—32no—
140#938—32no—
141#938—31no—
142#938—61no—
143#938—61no—
144#937—61no—
145#935—61no—
146C2×#214—32no—
147#932—64no—
148C2×#213—32no—
149C2×#213—32no—
150C4×#67—61no—
151C4×#67—61no—
152C2×(C2×D3)⋊C4—61no—
153#926C2×D311yescharacteristic
154C2×C4⋊Dic3C2×D311yescharacteristic
155C2×#208—31no—
156C2×#208—31no—
157C2×#208—61no—
158D3×M16—64no—
159D3×M16—64no—
160D3×M16—68no—
161C2×ΓL(1,𝔽25)—32no—
162C2×ΓL(1,𝔽25)—32no—
163C2×ΓL(1,𝔽25)—62no—
164C2×D3×C8—32no—
165C2×D3×C8—32no—
166C2×D3×C8—62no—
167#897—31no—
168#897—31no—
169#895—32no—
170#895—32no—
171#895—31no—
172#895—31no—
173#895—61no—
174#895—61no—
175#886—61no—
176#882—61no—
177C4×D12—61no—
178C4×D12—61no—
179C3×#103—32no—
180C3×#102—32no—
181C3×#102—32no—
182C3×#102—32no—
183#821C2×D312yescomplemented
184#821C2×D312yescomplemented
185#821C2×D312yescomplemented
186#816C2×D312yescomplemented
187#808—32no—
188#808—32no—
189#807—32no—
190#807—32no—
191C23×C32C2×D411yescharacteristic
192C22×C3⋊D3—22no—
193C22×C3⋊D3—22no—
194C22×C3⋊D3—41no—
195C22×C3⋊D3C2×D411yescharacteristic
196C22×C3⋊D3C2×D411yescharacteristic
197C22×C3×D3—22no—
198C22×C3×D3—21no—
199C22×C3×D3—42no—
200C22×C3×D3—42no—
201C22×C3×D3—42no—
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4C2×D412yes—
204C2×C32×C4#4112yes—
205C2×C32×C4C2411yescharacteristic
206C2×C3⋊Dic3—22no—
207C2×C3⋊Dic3C2×D411yescharacteristic
208C2×C3⋊Dic3C2×D411yescharacteristic
209C4×C3⋊D3—22no—
210C4×C3⋊D3—22no—
211C4×C3⋊D3—21no—
212C4×C3⋊D3—21no—
213C4×C3⋊D3—21no—
214C4×C3⋊D3—21no—
215C3×#67—42no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3—21no—
219C2×C3×Dic3—21no—
220C2×C3×Dic3—42no—
221C3×D12—21no—
222C3×D12—22no—
223C3×D12—22no—
224C3×D12—21no—
225C3×D12—42no—
226C3×C4×D3—42no—
227C3×Dic6—21no—
228C3×Dic6—21no—
229#626—42no—
230#626—44no—
231#626—42no—
232#626—44no—
233C32×C8—22no—
234C3⋊(C3⋊C8)C2×D414yescomplemented
235C2×AGL(1,ℤ/8)—91no—
236C22×M16—91no—
237#525—91no—
238C2×#121—91no—
239#469—92no—
240#468—92no—
241#466—92no—
242#465—92no—
243#428—91no—
244#418—31no—
245#417—31no—
246C24×C3—61no—
247C23×D3—21no—
248C23×D3—31no—
249C23×D3—31no—
250C23×D3—61no—
251C3×#41—62no—
252C3×#41—62no—
253C2×C3×Q8—31no—
254C2×C3×D4—31no—
255C2×C3×D4—32no—
256C2×C3×D4—61no—
257C2×C3×D4—62no—
258C2×C3×D4—62no—
259C2×C3×D4—61no—
260C22×C3×C4—21no—
261C22×C3×C4—61no—
262C22×C3×C4—61no—
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C2×#67—21no—
266C2×#67—61no—
267C2×#67—61no—
268C2×#67—62no—
269C2×#67—62no—
270C2×#67—124no—
271C22×Dic3—21no—
272C22×Dic3—31no—
273C22×Dic3—31no—
274C22×Dic3—61no—
275#235—22no—
276#235—22no—
277C2×D12—22no—
278C2×D12—22no—
279C2×D12—21no—
280C2×D12—61no—
281C2×D12—61no—
282C2×D12—62no—
283C2×D12—62no—
284C2×D12—124no—
285C2×D12C22×D311yescharacteristic
286C2×D12C22×D312yes—
287C2×C4×D3—21no—
288C2×C4×D3—31no—
289C2×C4×D3—31no—
290C2×C4×D3—31no—
291C2×C4×D3—31no—
292C2×C4×D3—31no—
293C2×C4×D3—31no—
294C2×C4×D3—31no—
295C2×C4×D3—31no—
296C2×C4×D3—61no—
297C2×C4×D3—61no—
298C2×C4×D3—61no—
299C2×C4×D3—61no—
300C2×C4×D3—64no—
301C2×C4×D3—64no—
302C2×C4×D3—62no—
303C2×C4×D3—62no—
304C2×C4×D3—62no—
305C2×C4×D3—62no—
306C2×Dic6C22×D311yescharacteristic
307C3×M16—24no—
308C3×M16—22no—
309C3×M16—22no—
310C2×C3×C8—22no—
311C2×C3×C8C22×D312yes—
312C2×C3×C8C22×D312yes—
313C3×C4⋊C4—31no—
314C3×C4⋊C4—32no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—61no—
317C3×C22⋊C4—61no—
318C3×C42—61no—
319#217—21no—
320#217—61no—
321#217—61no—
322#217—62no—
323#217—62no—
324#215—64no—
325#214—64no—
326#213—64no—
327#213—64no—
328(C2×D3)⋊C4—61no—
329(C2×D3)⋊C4—61no—
330(C2×D3)⋊C4—61no—
331(C2×D3)⋊C4—61no—
332(C2×D3)⋊C4—61no—
333(C2×D3)⋊C4—61no—
334(C2×D3)⋊C4—62no—
335(C2×D3)⋊C4—62no—
336C4⋊Dic3—21no—
337C4⋊Dic3—61no—
338C4⋊Dic3—61no—
339C4⋊Dic3C22×D311yescharacteristic
340C4⋊Dic3C22×D312yes—
341C4⋊Dic3C22×D311yescharacteristic
342Dic3⋊C4—61no—
343Dic3⋊C4—61no—
344C4×Dic3—21no—
345#208—34no—
346#208—34no—
347#208—64no—
348C2×C3⋊C8—32no—
349C2×C3⋊C8—32no—
350C2×C3⋊C8—62no—
351ΓL(1,𝔽25)—64no—
352ΓL(1,𝔽25)—64no—
353ΓL(1,𝔽25)—68no—
354D3×C8—64no—
355D3×C8—64no—
356D3×C8—68no—
357C22×C32—21no—
358C22×C32—21no—
359C22×C32#12112yes—
360C22×C32C22×D411yescharacteristic
361C2×C3⋊D3—21no—
362C2×C3⋊D3—21no—
363C2×C3⋊D3—21no—
364C2×C3⋊D3—21no—
365C2×C3⋊D3—21no—
366C2×C3⋊D3—44no—
367C2×C3⋊D3AGL(1,ℤ/8)12yescomplemented
368C2×C3×D3—41no—
369C2×C3×D3—42no—
370C2×C3×D3—42no—
371C2×C3×D3—41no—
372C2×C3×D3—41no—
373C2×C3×D3—42no—
374C2×C3×D3—84no—
375C32×C4#12112yes—
376C32×C4C22×D411yescharacteristic
377C32×C4C2×#4111yescharacteristic
378C3⋊Dic3—21no—
379C3⋊Dic3—21no—
380C3×Dic3—41no—
381C3×Dic3—42no—
382C3×Dic3—41no—
383C3×Dic3—41no—
384C2×#41—31no—
385C22×D4—31no—
386C22×D4—181no—
387C23×C4—91no—
388AGL(1,ℤ/8)—184no—
389C2×SD16—92no—
390C2×D8—92no—
391C2×M16—91no—
392C2×M16—92no—
393C2×M16—184no—
394C2×M16D3211yescharacteristic
395C22×C8—92no—
396#123—181no—
397C22⋊Q8—91no—
398C22⋊Q8—91no—
399#121—92no—
400#121—92no—
401#121—91no—
402#121—91no—
403#121—181no—
404#121—181no—
405#120—181no—
406C4×D4—181no—
407C4×D4—181no—
408#117—31no—
409C2×C4⋊C4—31no—
410C2×C22⋊C4—181no—
411#107—92no—
412#106—92no—
413#103—32no—
414#102—32no—
415#102—32no—
416#102—32no—
417C23×C3—21no—
418C23×C3—61no—
419C23×C3—62no—
420C23×C3—122no—
421C23×C3—122no—
422C23×C3—122no—
423C23×C3D3×D411yescharacteristic
424C23×C3D3×D411yescharacteristic
425C22×D3—21no—
426C22×D3—22no—
427C22×D3—31no—
428C22×D3—31no—
429C22×D3—31no—
430C22×D3—31no—
431C22×D3—42no—
432C22×D3—42no—
433C22×D3—42no—
434C22×D3—61no—
435C22×D3—61no—
436C22×D3—62no—
437C22×D3—62no—
438C22×D3—64no—
439C22×D3—62no—
440C22×D3—62no—
441C22×D3—122no—
442C22×D3—121no—
443C22×D3—121no—
444C22×D3—122no—
445C3×Q8—61no—
446C3×Q8—61no—
447C3×D4—62no—
448C3×D4—61no—
449C3×D4—61no—
450C3×D4—62no—
451C3×D4—122no—
452C3×D4—122no—
453C2×C3×C4—21no—
454C2×C3×C4—22no—
455C2×C3×C4—21no—
456C2×C3×C4—22no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4—61no—
460C2×C3×C4—62no—
461C2×C3×C4—122no—
462C2×C3×C4—122no—
463C2×C3×C4#23512yes—
464C2×C3×C4#23512yes—
465C2×C3×C4D3×D411yescharacteristic
466C2×C3×C4D3×D411yescharacteristic
467C2×C3×C4D3×D412yes—
468C2×C3×C4D3×D412yes—
469C2×C3×C4C23×D311yescharacteristic
470C2×C3×C4C23×D311yescharacteristic
471#67—42no—
472#67—122no—
473#67—124no—
474#67—122no—
475#67—124no—
476C2×Dic3—21no—
477C2×Dic3—21no—
478C2×Dic3—22no—
479C2×Dic3—21no—
480C2×Dic3—31no—
481C2×Dic3—31no—
482C2×Dic3—31no—
483C2×Dic3—31no—
484C2×Dic3—42no—
485C2×Dic3—61no—
486C2×Dic3—61no—
487C2×Dic3—64no—
488C2×Dic3—62no—
489C2×Dic3—62no—
490D12—22no—
491D12—21no—
492D12—21no—
493D12—22no—
494D12—42no—
495D12—122no—
496D12—124no—
497D12—122no—
498D12—124no—
499C4×D3—42no—
500C4×D3—62no—
501C4×D3—62no—
502C4×D3—62no—
503C4×D3—62no—
504C4×D3—64no—
505C4×D3—64no—
506C4×D3—62no—
507C4×D3—62no—
508C4×D3—62no—
509C4×D3—62no—
510C4×D3—61no—
511C4×D3—61no—
512C4×D3—61no—
513C4×D3—61no—
514C4×D3—61no—
515C4×D3—61no—
516C4×D3—61no—
517C4×D3—61no—
518Dic6—21no—
519Dic6—21no—
520C3×C8—24no—
521C3×C8—22no—
522C3×C8—22no—
523C3⋊C8—34no—
524C3⋊C8—34no—
525C3⋊C8—64no—
526C2×C32—22no—
527C2×C32C2×#12111yescharacteristic
528C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
529C2×C32#57511yescharacteristic
530C3⋊D3—22no—
531C3⋊D3—41no—
532C3×D3—81no—
533C3×D3—82no—
534C24—61no—
535C24—91no—
536#41—62no—
537#41—62no—
538C2×Q8—31no—
539C2×D4—31no—
540C2×D4—32no—
541C2×D4—61no—
542C2×D4—62no—
543C2×D4—61no—
544C2×D4—62no—
545C2×D4—181no—
546C2×D4—181no—
547C2×D4—182no—
548C2×D4—182no—
549C2×D4—364no—
550C22×C4—61no—
551C22×C4—61no—
552C22×C4—91no—
553C22×C4—91no—
554C22×C4—91no—
555C22×C4—91no—
556C22×C4—91no—
557C22×C4—182no—
558C22×C4—182no—
559C22×C4C2×D3211yescharacteristic
560SD16—184no—
561D8—184no—
562M16—22no—
563M16—94no—
564M16—184no—
565C2×C8—92no—
566C2×C8—184no—
567C2×C8C2×D3212yes—
568C4⋊C4—31no—
569C4⋊C4—31no—
570C4⋊C4—32no—
571C4⋊C4—61no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C22⋊C4—61no—
575C22⋊C4—181no—
576C22⋊C4—181no—
577C22⋊C4—182no—
578C22⋊C4—182no—
579C22⋊C4—181no—
580C22⋊C4—181no—
581C42—61no—
582C22×C3—21no—
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—21no—
587C22×C3—22no—
588C22×C3—41no—
589C22×C3—41no—
590C22×C3—121no—
591C22×C3—122no—
592C22×C3—122no—
593C22×C3—121no—
594C22×C3—121no—
595C22×C3—122no—
596C22×C3—244no—
597C22×C3#88412yes—
598C22×C3#88412yes—
599C22×C3C2×D3×D411yescharacteristic
600C22×C3C2×D3×D411yescharacteristic
601C2×D3—32no—
602C2×D3—32no—
603C2×D3—41no—
604C2×D3—42no—
605C2×D3—42no—
606C2×D3—41no—
607C2×D3—42no—
608C2×D3—41no—
609C2×D3—62no—
610C2×D3—62no—
611C2×D3—62no—
612C2×D3—61no—
613C2×D3—61no—
614C2×D3—61no—
615C2×D3—61no—
616C2×D3—62no—
617C2×D3—61no—
618C2×D3—61no—
619C2×D3—61no—
620C2×D3—61no—
621C2×D3—61no—
622C2×D3—61no—
623C2×D3—84no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—124no—
627C2×D3—124no—
628C2×D3—128no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—22no—
632C3×C4—121no—
633C3×C4—122no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4#88412yes—
637C3×C4#88412yes—
638C3×C4C2×#23511yescharacteristic
639C3×C4C2×#23511yescharacteristic
640C3×C4C2×D3×D411yescharacteristic
641C3×C4C2×D3×D411yescharacteristic
642Dic3—41no—
643Dic3—42no—
644Dic3—41no—
645Dic3—41no—
646Dic3—62no—
647Dic3—62no—
648Dic3—61no—
649Dic3—61no—
650Dic3—61no—
651Dic3—61no—
652C32#305511yescharacteristic, complemented, Sylow
653C23—61no—
654C23—62no—
655C23—91no—
656C23—91no—
657C23—122no—
658C23—122no—
659C23—122no—
660C23—182no—
661C23—182no—
662C23—361no—
663C23#380211yescharacteristic
664Q8—61no—
665Q8—61no—
666D4—62no—
667D4—61no—
668D4—61no—
669D4—62no—
670D4—122no—
671D4—122no—
672D4—364no—
673D4—362no—
674D4—364no—
675D4—362no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—62no—
679C2×C4—61no—
680C2×C4—91no—
681C2×C4—91no—
682C2×C4—122no—
683C2×C4—122no—
684C2×C4—182no—
685C2×C4—181no—
686C2×C4—181no—
687C2×C4—181no—
688C2×C4—181no—
689C2×C4—182no—
690C2×C4—182no—
691C2×C4#379812yes—
692C2×C4#380211yescharacteristic
693C2×C4#381112yes—
694C2×C4C22×D3211yescharacteristic
695C8—22no—
696C8—94no—
697C2×C3—22no—
698C2×C3—22no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—42no—
703C2×C3—242no—
704C2×C3—241no—
705C2×C3C2×#88411yescharacteristic
706C2×C3C2×#88411yescharacteristic
707C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
708C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
709C2×C3#577311yescharacteristic
710C2×C3#577711yescharacteristic
711D3—64no—
712D3—62no—
713D3—62no—
714D3—81no—
715D3—82no—
716D3—122no—
717D3—121no—
718D3—121no—
719C22—21no—
720C22—21no—
721C22—92no—
722C22—122no—
723C22—121no—
724C22—121no—
725C22—122no—
726C22—121no—
727C22—122no—
728C22—181no—
729C22—181no—
730C22—181no—
731C22—181no—
732C22—181no—
733C22—244no—
734C22—364no—
735C22#6391212yes—
736C22C2×#380211yescharacteristic
737C4—122no—
738C4—121no—
739C4—121no—
740C4—121no—
741C4—181no—
742C4—181no—
743C4#6391212yes—
744C4C2×#379811yescharacteristic
745C4C2×#381111yescharacteristic
746C3—21no—
747C3#7888811yescharacteristic, complemented
748C3#7893011yescharacteristic, complemented
749C2—22no—
750C2—182no—
751C2—242no—
752C2—241no—
753C2—361no—
754C2#1059471611yescharacteristic
755C2#1059471811yescharacteristic
756C2C2×#6391211yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×M16C22
socleC22×C32C22×D4
hypercenterC2×M16D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
1. C2×M16×C3⋊D3C2semidirect
2. #10595034C2semidirect
3. C2×#63916C2semidirect
4. C2×#63823C2semidirect
5. C3×#5133C2semidirect
6. C3×#5131C2semidirect
7. #10591139C2semidirect
8. #10590842C2semidirect
9. #10590841C2semidirect
10. #10590840C2semidirect
11. #10590839C2semidirect
21. C2×#3743C22semidirect
22. C2×C8×C3⋊D3C22semidirect
32. #63916C22semidirect
33. #63916C22semidirect
36. #63871C22semidirect
37. #63871C22semidirect
38. C2×#3715C22semidirect
40. C2×#3713C22semidirect
41. C3×#821C22semidirect
42. C3×#821C22semidirect
43. C3×#821C22semidirect
44. C3×#816C22semidirect
45. #63576C22semidirect
46. #63574C22semidirect
58. #5133D3semidirect
59. #5131D3semidirect
98. #3748D4semidirect
183. #821C2×D3semidirect
184. #821C2×D3semidirect
185. #821C2×D3semidirect
186. #816C2×D3semidirect
234. C3⋊(C3⋊C8)C2×D4semidirect
367. C2×C3⋊D3AGL(1,ℤ/8)semidirect
652. C32#3055semidirect
747. C3#78888semidirect
748. C3#78930semidirect

Maximal subgroups

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

subgroupindex
C2×M16×C3⋊D32
#105950342
C2×#639162
C2×#638232
C3×#51332
C3×#51312
#105911392
#105908422
#105908412
#105908402
#105908392
#789303
#788883