Finite Group Databasebeta

← #11865863

Subgroups — #11865863

Order 1152.

1309 conjugacy classes of subgroups.

The subgroup lattice has 737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×#63937C212yesmaximal, complemented
3#10593907C211yesmaximal, characteristic, complemented
4C3×#5019C211yesmaximal, characteristic, complemented
5C3×#5015C211yesmaximal, characteristic, complemented
6#10591476C212yesmaximal, complemented
7#10590612C212yesmaximal, complemented
8#10590540C212yesmaximal, complemented
9#10590379C211yesmaximal, characteristic, complemented
10#10590355C211yesmaximal, characteristic, complemented
11#10590340C211yesmaximal, characteristic, complemented
12#80428—31nomaximal
13#80332—31nomaximal
14C2×D4×C3⋊D3C2211yescharacteristic
15C22×C4×C3⋊D3—21no—
16C2×#3796C2212yes—
17C32×C4×D4C2211yescharacteristic
18D4×C3⋊Dic3C2211yescharacteristic
19C4×#638—21no—
20#64102C2211yescharacteristic
21C4⋊C4×C3⋊D3C2211yescharacteristic
22#64090—21no—
23C22⋊C4×C3⋊D3—21no—
24C4×C4⋊(C3⋊D3)C2211yescharacteristic
25C42×C3⋊D3C2211yescharacteristic
26C2×C3×#214C2212yes—
27C2×C3×#213C2212yes—
28C3×#874C2211yescharacteristic, complemented
29C3×#869C2211yescharacteristic, complemented
30#63937—28no—
31#63916—21no—
32#63916—21no—
33#63898—21no—
34#63898—21no—
35#63863C2212yescomplemented
36C2×#3717C2212yes—
37C2×#3714C2212yes—
38C2×#3712C2212yes—
39C3×#810C2212yescomplemented
40C3×#809C2212yescomplemented
41C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
42C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
43#63572C2212yescomplemented
44#63566C2212yescomplemented
45#63563C2212yescomplemented
46C2×#914—32no—
47C2×#911—32no—
48#5725—31no—
49#5716—31no—
50C4×D3×D4—31no—
51C4×D3×D4—31no—
52C4×D3×D4—61no—
53C3×#461—31no—
54C3×#459—31no—
55#5165—32no—
56#5153—32no—
57#5083—31no—
58#5072—31no—
59#5019D311yescharacteristic, complemented
60#5015D311yescharacteristic, complemented
61#4843—31no—
62#4841—31no—
63#4837—31no—
64#4837—31no—
65#4819—32no—
66#4803—32no—
67#4787—32no—
68#4771—32no—
69C23×C3⋊D3—21no—
70C2×C32×D4C2311yescharacteristic
71C22×C32×C4—21no—
72C2×#638—21no—
73C22×C3⋊Dic3—21no—
74D4×C3⋊D3—22no—
75D4×C3⋊D3D414yescomplemented
76C2×C4⋊(C3⋊D3)C2311yescharacteristic
77C2×C4×C3⋊D3—21no—
78C2×C4×C3⋊D3—21no—
79C2×C4×C3⋊D3—21no—
80C2×C4×C3⋊D3—44no—
81C2×C4×C3⋊D3D411yescharacteristic
82C2×C4×C3⋊D3D411yescharacteristic
83C2×C4×C3⋊D3C2311yescharacteristic
84C2×C3×D12—21no—
85C2×C3×D12—21no—
86C2×C3×D12C2312yes—
87C2×C3×Dic6C2312yes—
88C2×#626—22no—
89C2×D3×Dic3—22no—
90#3796—24no—
91#3796—24no—
92C32×C4⋊C4C2311yescharacteristic
93C32×C22⋊C4—21no—
94C32×C42C2311yescharacteristic
95#3757—21no—
96#3752—21no—
97#3752—21no—
98C4⋊(C3⋊Dic3)C2311yescharacteristic
99#3750—21no—
100C4×C3⋊Dic3D411yescharacteristic
101C4×C3⋊Dic3D411yescharacteristic
102C4×C3⋊Dic3C2311yescharacteristic
103C3×#214—24no—
104C3×#213—24no—
105C3×C4⋊Dic3—21no—
106C3×C4⋊Dic3—21no—
107C2×C3×C3⋊C8C2312yes—
108C2×C3×C3⋊C8C2312yes—
109(C2×D3)⋊Dic3—22no—
110(C2×D3)⋊Dic3—22no—
111#3717—24no—
112#3714—24no—
113#3712—24no—
114#3036—91noSylow
115C2×#239—32no—
116C2×#237—32no—
117C2×D3×D4—31no—
118C2×D3×D4—31no—
119C2×D3×D4—61no—
120C22×C4×D3—61no—
121C22×C4×D3—61no—
122C22×C4×D3—62no—
123C2×C3×SD16—32no—
124C2×C3×D8—32no—
125C3×C4⋊Q8—31no—
126C3×#127—31no—
127C3×C4×D4—21no—
128C3×C4×D4C2×D311yescharacteristic
129C3×C4×D4C2×D311yescharacteristic
130#947—32no—
131C2×#215—32no—
132#938—61no—
133#938—61no—
134#936—32no—
135D4×Dic3—31no—
136D4×Dic3—31no—
137D4×Dic3—61no—
138D4×Dic3—61no—
139D4×Dic3—61no—
140C2×#214C2×D312yes—
141C2×#213—32no—
142C2×#213C2×D312yes—
143C4×#67—61no—
144C4×#67—61no—
145C4×#67—62no—
146#914—68no—
147#911—68no—
148C2×D24—32no—
149C2×#204—32no—
150C2×ΓL(1,𝔽25)—32no—
151C2×ΓL(1,𝔽25)—32no—
152#895—61no—
153#895—61no—
154#893—31no—
155#893—31no—
156#893—61no—
157#893—61no—
158#893—61no—
159D3×C4⋊C4—31no—
160D3×C4⋊C4—31no—
161D3×C4⋊C4—61no—
162#67⋊C4—61no—
163#67⋊C4—61no—
164#67⋊C4—62no—
165D3×C22⋊C4—61no—
166D3×C22⋊C4—61no—
167D3×C22⋊C4—62no—
168#874C2×D311yescharacteristic, complemented
169C4×D12—31no—
170C4×D12—31no—
171C4×D12—61no—
172C42×D3—31no—
173C42×D3—31no—
174C42×D3—61no—
175#869C2×D311yescharacteristic, complemented
176C3×C4⋊C8—31no—
177C3×C4⋊C8—31no—
178C3×#103—32no—
179C3×#102—32no—
180#835—32no—
181#832—32no—
182#821—32no—
183#816—32no—
184Dic3⋊C8—32no—
185Dic3⋊C8—32no—
186#810C2×D312yescomplemented
187#809C2×D312yescomplemented
188C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
189C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
190C23×C32—21no—
191C22×C3⋊D3—21no—
192C22×C3⋊D3—24no—
193C22×C3⋊D3—42no—
194C22×C3⋊D3—42no—
195C22×C3⋊D3C2×D411yescharacteristic
196C22×C3×D3—22no—
197C32×D4—21no—
198C32×D4C2×D412yes—
199C2×C32×C4—21no—
200C2×C32×C4—42no—
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4C2411yescharacteristic
204#638—24no—
205C2×C3⋊Dic3—21no—
206C2×C3⋊Dic3—42no—
207C2×C3⋊Dic3C2×D411yescharacteristic
208C2×C3⋊Dic3C2×D411yescharacteristic
209C2×C3⋊Dic3C2×D411yescharacteristic
210C4⋊(C3⋊D3)—21no—
211C4⋊(C3⋊D3)C2×D412yes—
212C4×C3⋊D3—22no—
213C4×C3⋊D3—41no—
214C4×C3⋊D3—42no—
215C4×C3⋊D3—42no—
216C4×C3⋊D3—42no—
217C4×C3⋊D3C2×D412yes—
218C4×C3⋊D3#4112yes—
219C2×C3×Dic3—22no—
220C3×D12—22no—
221C3×D12—22no—
222C3×D12—42no—
223C3×D12—42no—
224C3×Dic6—22no—
225C3×Dic6—22no—
226#626—44no—
227D3×Dic3—44no—
228C3×C3⋊C8—22no—
229C3×C3⋊C8—22no—
230C2×AGL(1,ℤ/8)—92no—
231#532—91no—
232C2×C4×D4—91no—
233#463—92no—
234#463—92no—
235#461—31no—
236#461—91no—
237#459—31no—
238#459—91no—
239#423—91no—
240#417—92no—
241C23×D3—61no—
242C23×D3—61no—
243C23×D3—62no—
244C2×C3×Q8—32no—
245C2×C3×D4—21no—
246C2×C3×D4—32no—
247C2×C3×D4—61no—
248C2×C3×D4—61no—
249C2×C3×D4C22×D311yescharacteristic
250C2×C3×D4C22×D311yescharacteristic
251C22×C3×C4—22no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C2×#67—62no—
255C2×#67—61no—
256C2×#67—61no—
257C2×#67—62no—
258C22×Dic3—62no—
259C22×Dic3—61no—
260C22×Dic3—61no—
261C22×Dic3—62no—
262#239—64no—
263#239—64no—
264#237—64no—
265#237—64no—
266D3×D4—34no—
267D3×D4—34no—
268D3×D4—64no—
269D3×D4—62no—
270D3×D4—62no—
271D3×D4—64no—
272C2×D12—21no—
273C2×D12—21no—
274C2×D12—31no—
275C2×D12—31no—
276C2×D12—61no—
277C2×D12—62no—
278C2×D12C22×D312yes—
279C2×C4×D3—31no—
280C2×C4×D3—31no—
281C2×C4×D3—31no—
282C2×C4×D3—31no—
283C2×C4×D3—31no—
284C2×C4×D3—31no—
285C2×C4×D3—61no—
286C2×C4×D3—61no—
287C2×C4×D3—61no—
288C2×C4×D3—61no—
289C2×C4×D3—61no—
290C2×C4×D3—62no—
291C2×C4×D3—61no—
292C2×C4×D3—61no—
293C2×C4×D3—62no—
294C2×C4×D3—62no—
295C2×C4×D3—62no—
296C2×C4×D3—61no—
297C2×C4×D3—61no—
298C2×C4×D3—128no—
299C2×C4×D3—124no—
300C2×C4×D3—124no—
301C2×Dic6C22×D312yes—
302C3×SD16—64no—
303C3×D8—64no—
304C2×C3×C8—32no—
305C2×C3×C8—32no—
306C3×C4⋊C4—21no—
307C3×C4⋊C4—61no—
308C3×C4⋊C4—61no—
309C3×C4⋊C4C22×D311yescharacteristic
310C3×C4⋊C4C22×D311yescharacteristic
311C3×C22⋊C4—22no—
312C3×C22⋊C4—21no—
313C3×C22⋊C4—21no—
314C3×C42—21no—
315C3×C42C22×D311yescharacteristic
316C3×C42C22×D311yescharacteristic
317#217—62no—
318#217—62no—
319#217—61no—
320#217—61no—
321#217—62no—
322#215—64no—
323#214—24no—
324#213—24no—
325#213—64no—
326(C2×D3)⋊C4—61no—
327(C2×D3)⋊C4—61no—
328(C2×D3)⋊C4—62no—
329(C2×D3)⋊C4—62no—
330(C2×D3)⋊C4—62no—
331(C2×D3)⋊C4—62no—
332(C2×D3)⋊C4—61no—
333(C2×D3)⋊C4—61no—
334C4⋊Dic3—21no—
335C4⋊Dic3—21no—
336C4⋊Dic3—31no—
337C4⋊Dic3—31no—
338C4⋊Dic3—61no—
339Dic3⋊C4—61no—
340Dic3⋊C4—61no—
341Dic3⋊C4—62no—
342C4×Dic3—31no—
343C4×Dic3—31no—
344C4×Dic3—31no—
345C4×Dic3—31no—
346C4×Dic3—31no—
347C4×Dic3—31no—
348C4×Dic3—61no—
349C4×Dic3—61no—
350C4×Dic3—61no—
351C2×C3⋊C8C22×D312yes—
352C2×C3⋊C8C22×D312yes—
353D24—64no—
354#204—64no—
355ΓL(1,𝔽25)—64no—
356ΓL(1,𝔽25)—64no—
357C22×C32—22no—
358C22×C32—41no—
359C22×C32—41no—
360C22×C32C22×D411yescharacteristic
361C2×C3⋊D3—21no—
362C2×C3⋊D3—21no—
363C2×C3⋊D3—22no—
364C2×C3⋊D3—48no—
365C2×C3⋊D3—41no—
366C2×C3⋊D3—41no—
367C2×C3⋊D3#12112yes—
368C2×C3×D3—42no—
369C2×C3×D3—42no—
370C2×C3×D3—42no—
371C32×C4—21no—
372C32×C4—41no—
373C32×C4AGL(1,ℤ/8)12yescomplemented
374C32×C4C22×D411yescharacteristic
375C32×C4C2×#4111yescharacteristic
376C3⋊Dic3—21no—
377C3⋊Dic3—21no—
378C3⋊Dic3—41no—
379C3⋊Dic3#12112yes—
380C3×Dic3—42no—
381C2×#41—92no—
382C22×D4—91no—
383C23×C4—181no—
384AGL(1,ℤ/8)—188no—
385C2×SD16—32no—
386C2×SD16—92no—
387C2×D8—32no—
388C2×D8—92no—
389C2×M16—92no—
390C4⋊Q8—31no—
391#127—31no—
392#124—92no—
393#121—181no—
394#121—181no—
395C4×D4—91no—
396C4×D4—91no—
397C4×D4—91no—
398C4×D4—181no—
399C4×D4—181no—
400C4×D4—181no—
401C4×D4—181no—
402C4×D4D3211yescharacteristic
403C2×C4⋊C4—91no—
404C2×C22⋊C4—181no—
405C2×C42—91no—
406C4⋊C8—31no—
407C4⋊C8—31no—
408C4⋊C8—92no—
409#103—32no—
410#103—92no—
411#102—32no—
412#102—92no—
413C23×C3—22no—
414C23×C3—21no—
415C23×C3—21no—
416C23×C3—62no—
417C22×D3—22no—
418C22×D3—31no—
419C22×D3—31no—
420C22×D3—61no—
421C22×D3—64no—
422C22×D3—64no—
423C22×D3—62no—
424C22×D3—68no—
425C22×D3—61no—
426C22×D3—61no—
427C22×D3—124no—
428C22×D3—122no—
429C22×D3—122no—
430C22×D3—124no—
431C22×D3—122no—
432C22×D3—122no—
433C3×Q8—62no—
434C3×Q8—62no—
435C3×D4—22no—
436C3×D4—21no—
437C3×D4—21no—
438C3×D4—22no—
439C3×D4—62no—
440C3×D4—62no—
441C3×D4—122no—
442C3×D4—122no—
443C3×D4D3×D412yes—
444C3×D4D3×D412yes—
445C2×C3×C4—22no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—44no—
452C2×C3×C4—42no—
453C2×C3×C4—42no—
454C2×C3×C4—62no—
455C2×C3×C4D3×D411yescharacteristic
456C2×C3×C4D3×D411yescharacteristic
457C2×C3×C4D3×D411yescharacteristic
458C2×C3×C4D3×D411yescharacteristic
459C2×C3×C4C23×D311yescharacteristic
460C2×C3×C4C23×D311yescharacteristic
461#67—64no—
462#67—64no—
463#67—68no—
464#67—124no—
465C2×Dic3—22no—
466C2×Dic3—31no—
467C2×Dic3—31no—
468C2×Dic3—31no—
469C2×Dic3—31no—
470C2×Dic3—31no—
471C2×Dic3—31no—
472C2×Dic3—61no—
473C2×Dic3—61no—
474C2×Dic3—61no—
475C2×Dic3—62no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—124no—
479C2×Dic3—124no—
480C2×Dic3—122no—
481C2×Dic3—122no—
482D12—22no—
483D12—22no—
484D12—32no—
485D12—32no—
486D12—42no—
487D12—42no—
488D12—62no—
489D12—62no—
490D12—61no—
491D12—61no—
492D12—124no—
493C4×D3—32no—
494C4×D3—32no—
495C4×D3—32no—
496C4×D3—32no—
497C4×D3—62no—
498C4×D3—62no—
499C4×D3—64no—
500C4×D3—62no—
501C4×D3—62no—
502C4×D3—124no—
503C4×D3—121no—
504C4×D3—121no—
505C4×D3—124no—
506C4×D3—122no—
507C4×D3—122no—
508C4×D3—124no—
509C4×D3—122no—
510C4×D3—124no—
511C4×D3—122no—
512C4×D3—122no—
513C4×D3—122no—
514C4×D3—122no—
515Dic6—22no—
516Dic6—22no—
517C3×C8—62no—
518C3×C8—62no—
519C3⋊C8—22no—
520C3⋊C8—22no—
521C2×C32—42no—
522C2×C32C2×#12111yescharacteristic
523C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
524C2×C32#57511yescharacteristic
525C3⋊D3—22no—
526C3⋊D3—42no—
527C3×D3—82no—
528C24—181no—
529#41—184no—
530#41—184no—
531C2×Q8—32no—
532C2×D4—32no—
533C2×D4—61no—
534C2×D4—61no—
535C2×D4—94no—
536C2×D4—91no—
537C2×D4—182no—
538C2×D4—182no—
539C2×D4—181no—
540C2×D4C2×D3211yescharacteristic
541C22×C4—21no—
542C22×C4—91no—
543C22×C4—91no—
544C22×C4—91no—
545C22×C4—181no—
546C22×C4—181no—
547C22×C4—182no—
548C22×C4—181no—
549C22×C4—181no—
550C22×C4—364no—
551SD16—64no—
552SD16—184no—
553D8—64no—
554D8—184no—
555M16—184no—
556C2×C8—32no—
557C2×C8—32no—
558C4⋊C4—61no—
559C4⋊C4—61no—
560C4⋊C4—91no—
561C4⋊C4—181no—
562C4⋊C4C2×D3211yescharacteristic
563C22⋊C4—21no—
564C22⋊C4—181no—
565C22⋊C4—182no—
566C22⋊C4—182no—
567C22⋊C4—181no—
568C22⋊C4—181no—
569C42—91no—
570C42—91no—
571C42—91no—
572C42C2×D3211yescharacteristic
573C22×C3—24no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—21no—
577C22×C3—42no—
578C22×C3—42no—
579C22×C3—41no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—122no—
584C22×C3—122no—
585C22×C3—122no—
586C22×C3C2×D3×D411yescharacteristic
587C22×C3C2×D3×D411yescharacteristic
588C2×D3—32no—
589C2×D3—32no—
590C2×D3—42no—
591C2×D3—42no—
592C2×D3—42no—
593C2×D3—62no—
594C2×D3—62no—
595C2×D3—62no—
596C2×D3—61no—
597C2×D3—61no—
598C2×D3—61no—
599C2×D3—61no—
600C2×D3—64no—
601C2×D3—62no—
602C2×D3—62no—
603C2×D3—1216no—
604C2×D3—128no—
605C2×D3—128no—
606C2×D3—122no—
607C2×D3—122no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—121no—
611C2×D3—121no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—22no—
617C3×C4—41no—
618C3×C4—42no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—122no—
622C3×C4#91112yescomplemented
623C3×C4#91412yescomplemented
624C3×C4C2×D3×D411yescharacteristic
625C3×C4C2×D3×D411yescharacteristic
626C3×C4D3×#4111yescharacteristic
627C3×C4D3×#4111yescharacteristic
628Dic3—32no—
629Dic3—32no—
630Dic3—42no—
631Dic3—62no—
632Dic3—62no—
633Dic3—61no—
634Dic3—61no—
635Dic3—61no—
636Dic3—61no—
637Dic3—121no—
638Dic3—122no—
639Dic3—121no—
640Dic3—121no—
641C32#303611yescharacteristic, complemented, Sylow
642C23—21no—
643C23—62no—
644C23—91no—
645C23—184no—
646C23—181no—
647C23—362no—
648C23—362no—
649Q8—62no—
650Q8—62no—
651D4—21no—
652D4—62no—
653D4—62no—
654D4—92no—
655D4—122no—
656D4—122no—
657D4—184no—
658D4—181no—
659D4—364no—
660D4#380212yes—
661C2×C4—21no—
662C2×C4—42no—
663C2×C4—62no—
664C2×C4—91no—
665C2×C4—92no—
666C2×C4—92no—
667C2×C4—91no—
668C2×C4—91no—
669C2×C4—182no—
670C2×C4—181no—
671C2×C4—361no—
672C2×C4—362no—
673C2×C4—362no—
674C2×C4—364no—
675C2×C4—362no—
676C2×C4—362no—
677C2×C4#381111yescharacteristic
678C2×C4#381111yescharacteristic
679C2×C4C22×D3211yescharacteristic
680C8—62no—
681C8—62no—
682C2×C3—21no—
683C2×C3—21no—
684C2×C3—21no—
685C2×C3—44no—
686C2×C3—42no—
687C2×C3—42no—
688C2×C3—242no—
689C2×C3D3×#12111yescharacteristic
690C2×C3D3×#12111yescharacteristic
691C2×C3C2×#91111yescharacteristic
692C2×C3C2×#91411yescharacteristic
693C2×C3#577311yescharacteristic
694C2×C3#577711yescharacteristic
695D3—64no—
696D3—62no—
697D3—62no—
698D3—82no—
699D3—124no—
700D3—122no—
701D3—122no—
702C22—22no—
703C22—41no—
704C22—41no—
705C22—92no—
706C22—122no—
707C22—122no—
708C22—122no—
709C22—181no—
710C22—181no—
711C22—182no—
712C22—368no—
713C22—361no—
714C22—361no—
715C22C2×#381111yescharacteristic
716C4—21no—
717C4—41no—
718C4—92no—
719C4—122no—
720C4—181no—
721C4—181no—
722C4—361no—
723C4#6393712yescomplemented
724C4C2×#380211yescharacteristic
725C4#6430611yescharacteristic
726C3—21no—
727C3#8033211yescharacteristic, complemented
728C3#8042811yescharacteristic, complemented
729C2—42no—
730C2—182no—
731C2—242no—
732C2—362no—
733C2#1059508111yescharacteristic
734C2C2×#6393711yescharacteristic
735C2#1059547111yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
hypercenterC4×D4D32
hypocenterC32#3036
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C4×D4×C3⋊D3C2semidirect
2. C2×#63937C2semidirect
3. #10593907C2semidirect
4. C3×#5019C2semidirect
5. C3×#5015C2semidirect
6. #10591476C2semidirect
7. #10590612C2semidirect
8. #10590540C2semidirect
9. #10590379C2semidirect
10. #10590355C2semidirect
11. #10590340C2semidirect
28. C3×#874C22semidirect
29. C3×#869C22semidirect
35. #63863C22semidirect
39. C3×#810C22semidirect
40. C3×#809C22semidirect
41. C3×C4⋊(C3⋊C8)C22semidirect
42. C3×C4⋊(C3⋊C8)C22semidirect
43. #63572C22semidirect
44. #63566C22semidirect
45. #63563C22semidirect
59. #5019D3semidirect
60. #5015D3semidirect
75. D4×C3⋊D3D4semidirect
168. #874C2×D3semidirect
175. #869C2×D3semidirect
186. #810C2×D3semidirect
187. #809C2×D3semidirect
188. C4⋊(C3⋊C8)C2×D3semidirect
189. C4⋊(C3⋊C8)C2×D3semidirect
373. C32×C4AGL(1,ℤ/8)semidirect
622. C3×C4#911semidirect
623. C3×C4#914semidirect
641. C32#3036semidirect
723. C4#63937semidirect
727. C3#80332semidirect
728. C3#80428semidirect

Maximal subgroups

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

subgroupindex
C4×D4×C3⋊D32
C2×#639372
#105939072
C3×#50192
C3×#50152
#105914762
#105906122
#105905402
#105903792
#105903552
#105903402
#804283
#803323