Finite Group Databasebeta

← D32×#102 #11857725

Subgroups — D32×#102 #11857725

Order 1152.

2245 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×D32×D4C211yesmaximal, characteristic
2C2×D32×C8C211yesmaximal, characteristic, complemented
3D32×C4⋊C4C211yesmaximal, characteristic, complemented
4C3⋊D3×#102C211yesmaximal, characteristic, complemented
5C3×D3×#102C212yesmaximal, complemented
6#10591416C211yesmaximal, characteristic, complemented
7D3×#832C212yesmaximal, complemented
8#10590940C211yesmaximal, characteristic, complemented
9D3×#821C212yesmaximal, complemented
10#10590593C211yesmaximal, characteristic, complemented
11D3×#809C212yesmaximal, complemented
12C2×D3×#102—32nomaximal
13C23×D32—21no—
14C2×D4×C3⋊D3C2211yescharacteristic
15C2×C3×D3×D4C2212yes—
16C2×#3811—21no—
17C2×D3×#67—22no—
18D32×D4—24no—
19D32×D4C418yescomplemented
20C2×#3802C2211yescharacteristic
21C2×D3×D12C2212yes—
22C2×C4×D32—21no—
23C2×C4×D32C2211yescharacteristic
24C2×C8×C3⋊D3C2211yescharacteristic, complemented
25C4⋊C4×C3⋊D3C2211yescharacteristic, complemented
26C2×C3×D3×C8C2212yescomplemented
27C3×D3×C4⋊C4C2212yescomplemented
28#63900C2211yescharacteristic, complemented
29D3×C4⋊Dic3C2212yescomplemented
30#63883—21no—
31D3×Dic3⋊C4—22no—
32C2×#3710C2211yescharacteristic, complemented
33C2×D3×C3⋊C8C2212yescomplemented
34D32×C8—24no—
35C32×#102C2211yescharacteristic, complemented
36#63659C2211yescharacteristic, complemented
37#63648C2211yescharacteristic, complemented
38#63636C2211yescharacteristic, complemented
39C3×#832C2212yescomplemented
40C3×#821C2212yescomplemented
41C3×#809C2212yescomplemented
42#63564C2212yescomplemented
43#63563C2212yescomplemented
44#63562C2212yescomplemented
45C22×D3×D4—32no—
46C22×D3×C8—32no—
47C2×D3×C4⋊C4—32no—
48C2×C3×#102—32no—
49C2×#832—32no—
50C2×#821—32no—
51C2×#809—32no—
52D3×#102—32no—
53D3×#102—32no—
54D3×#102—32no—
55D3×#102—32no—
56D3×#102—32no—
57D3×#102—32no—
58D3×#102—32no—
59D3×#102—61no—
60D3×#102D312yesdirect product factor
61C23×C3⋊D3—21no—
62C23×C3×D3—22no—
63C22×D32—21no—
64C22×D32—22no—
65C22×D32—28no—
66C22×D32—44no—
67C22×D32—44no—
68C22×D32D411yescharacteristic
69C2×C32×D4C2311yescharacteristic
70C2×#638—21no—
71D4×C3⋊D3—22no—
72D4×C3⋊D3C2×C414yescomplemented
73C2×C4⋊(C3⋊D3)C2311yescharacteristic
74C2×C4×C3⋊D3—21no—
75C2×C4×C3⋊D3C2311yescharacteristic
76C2×C3×#67—22no—
77C3×D3×D4—24no—
78C3×D3×D4C2×C418yescomplemented
79C2×C3×D12C2312yes—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3C2312yes—
82#3811—28no—
83D3×#67—216no—
84C2×#626—22no—
85C2×#625—21no—
86C2×#624—21no—
87C2×#624D411yescharacteristic
88C2×D3×Dic3—22no—
89C2×D3×Dic3D412yes—
90#3802—22no—
91#3802C2×C414yescomplemented
92D3×D12—24no—
93D3×D12C2×C418yescomplemented
94C4×D32—44no—
95C4×D32C2×C414yes—
96C4×D32D414yes—
97C2×C32×C8C2311yescharacteristic, complemented
98C32×C4⋊C4C2311yescharacteristic, complemented
99C4⋊(C3⋊Dic3)C2311yescharacteristic, complemented
100#3750—21no—
101C2×C3⋊(C3⋊C8)C2311yescharacteristic, complemented
102C8×C3⋊D3—22no—
103C3×C4⋊Dic3C2312yescomplemented
104C3×Dic3⋊C4—22no—
105C2×C3×C3⋊C8C2312yescomplemented
106C3×D3×C8—24no—
107#3724—21no—
108Dic3⋊Dic3—22no—
109#3710—22no—
110D3×C3⋊C8—24no—
111C22×#102—91noSylow
112C24×D3—62no—
113C22×C3×D4—32no—
114C22×#67—62no—
115C2×D3×D4—32no—
116C2×D3×D4—316no—
117C2×D3×D4—32no—
118C2×D3×D4—32no—
119C2×D3×D4—61no—
120C2×D3×D4—68no—
121C2×D3×D4—62no—
122C2×D3×D4—62no—
123C2×D3×D4C2×D312yes—
124C22×D12—32no—
125C22×C4×D3—32no—
126C22×C4×D3—62no—
127C22×C3×C8—32no—
128C2×C3×C4⋊C4—32no—
129C2×C4⋊Dic3—32no—
130C2×Dic3⋊C4—62no—
131C22×C3⋊C8—32no—
132C2×D3×C8—32no—
133C2×D3×C8—32no—
134C2×D3×C8—32no—
135C2×D3×C8—61no—
136C2×D3×C8—68no—
137C2×D3×C8C2×D312yescomplemented
138D3×C4⋊C4—32no—
139D3×C4⋊C4—32no—
140D3×C4⋊C4—32no—
141D3×C4⋊C4—61no—
142D3×C4⋊C4—62no—
143D3×C4⋊C4—62no—
144D3×C4⋊C4C2×D312yescomplemented
145C3×#102—21no—
146C3×#102—32no—
147C3×#102—32no—
148C3×#102—32no—
149C3×#102C2×D312yescomplemented
150#832—32no—
151#832—32no—
152#832—32no—
153#832—61no—
154#832C2×D312yescomplemented
155#821—32no—
156#821—32no—
157#821—32no—
158#821—61no—
159#821C2×D312yescomplemented
160#809—32no—
161#809—32no—
162#809—32no—
163#809—61no—
164#809C2×D312yescomplemented
165C23×C32—21no—
166C22×C3⋊D3—21no—
167C22×C3⋊D3—24no—
168C22×C3⋊D3—42no—
169C22×C3⋊D3—42no—
170C22×C3⋊D3C2×D411yescharacteristic
171C22×C3×D3—22no—
172C22×C3×D3—28no—
173C22×C3×D3—44no—
174C22×C3×D3—44no—
175C22×C3×D3C2×D412yes—
176C2×D32—24no—
177C2×D32—28no—
178C2×D32—42no—
179C2×D32—42no—
180C2×D32—44no—
181C2×D32—44no—
182C2×D32—432no—
183C2×D32C22⋊C414yes—
184C2×D32D814yes—
185C2×D32SD1614yes—
186C32×D4—21no—
187C32×D4C22×C412yescomplemented
188C2×C32×C4—21no—
189C2×C32×C4C2411yescharacteristic
190#638—24no—
191C2×C3⋊Dic3—21no—
192C2×C3⋊Dic3C2×D411yescharacteristic
193C4⋊(C3⋊D3)—21no—
194C4⋊(C3⋊D3)C22×C412yescomplemented
195C4×C3⋊D3—42no—
196C4×C3⋊D3C22×C412yes—
197C4×C3⋊D3C2×D412yes—
198C3×#67—28no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3C2×D412yes—
201C3×D12—22no—
202C3×D12C22×C414yescomplemented
203C3×C4×D3—44no—
204C3×C4×D3C22×C414yes—
205C3×C4×D3C2×D414yes—
206#626—28no—
207#625—24no—
208#624—42no—
209#624C22⋊C414yes—
210D3×Dic3—44no—
211D3×Dic3C22⋊C418yes—
212C32×C8—21no—
213C3⋊(C3⋊C8)—21no—
214C3×C3⋊C8—22no—
215C23×D4—91no—
216C23×C8—91no—
217C22×C4⋊C4—91no—
218C2×#102—32no—
219C2×#102—91no—
220C2×#102—91no—
221C2×#102—91no—
222C2×#102—92no—
223C2×#102—92no—
224C2×#102—92no—
225C2×#102—91no—
226C24×C3—62no—
227C23×D3—22no—
228C23×D3—32no—
229C23×D3—62no—
230C23×D3—616no—
231C23×D3—62no—
232C23×D3—62no—
233C23×D3—62no—
234C23×D3—121no—
235C23×D3—128no—
236C23×D3—128no—
237C2×C3×D4—21no—
238C2×C3×D4—38no—
239C2×C3×D4—32no—
240C2×C3×D4—64no—
241C2×C3×D4—62no—
242C2×C3×D4C22×D312yes—
243C22×C3×C4—32no—
244C22×C3×C4—62no—
245C2×#67—22no—
246C2×#67—616no—
247C2×#67—62no—
248C2×#67—62no—
249C2×#67—62no—
250C2×#67—121no—
251C22×Dic3—32no—
252C22×Dic3—62no—
253D3×D4—24no—
254D3×D4—38no—
255D3×D4—38no—
256D3×D4—38no—
257D3×D4—64no—
258D3×D4—64no—
259D3×D4—616no—
260D3×D4—64no—
261D3×D4—616no—
262D3×D4—64no—
263D3×D4—122no—
264D3×D4C4×D318yescomplemented
265C2×D12—32no—
266C2×D12—38no—
267C2×D12—61no—
268C2×D12—64no—
269C2×D12—62no—
270C2×D12C22×D312yes—
271C2×C4×D3—22no—
272C2×C4×D3—32no—
273C2×C4×D3—32no—
274C2×C4×D3—32no—
275C2×C4×D3—38no—
276C2×C4×D3—38no—
277C2×C4×D3—61no—
278C2×C4×D3—62no—
279C2×C4×D3—62no—
280C2×C4×D3—62no—
281C2×C4×D3—121no—
282C2×C4×D3—128no—
283C2×C4×D3C22×D312yes—
284C2×C3×C8—21no—
285C2×C3×C8—32no—
286C2×C3×C8—64no—
287C2×C3×C8C22×D312yescomplemented
288C3×C4⋊C4—21no—
289C3×C4⋊C4—32no—
290C3×C4⋊C4—62no—
291C3×C4⋊C4C22×D312yescomplemented
292C4⋊Dic3—32no—
293C4⋊Dic3—61no—
294C4⋊Dic3—62no—
295C4⋊Dic3C22×D312yescomplemented
296Dic3⋊C4—22no—
297Dic3⋊C4—62no—
298Dic3⋊C4—62no—
299Dic3⋊C4—62no—
300Dic3⋊C4—121no—
301C2×C3⋊C8—32no—
302C2×C3⋊C8—61no—
303C2×C3⋊C8—64no—
304C2×C3⋊C8C22×D312yescomplemented
305D3×C8—24no—
306D3×C8—64no—
307D3×C8—64no—
308D3×C8—64no—
309D3×C8—122no—
310C22×C32—22no—
311C22×C32—41no—
312C22×C32—41no—
313C22×C32C22×D411yescharacteristic
314C2×C3⋊D3—22no—
315C2×C3⋊D3—41no—
316C2×C3⋊D3—41no—
317C2×C3⋊D3—48no—
318C2×C3⋊D3C2×C22⋊C412yes—
319C2×C3⋊D3C2×D812yes—
320C2×C3⋊D3C2×SD1612yes—
321C2×C3×D3—24no—
322C2×C3×D3—42no—
323C2×C3×D3—42no—
324C2×C3×D3—416no—
325C2×C3×D3C2×C22⋊C414yes—
326C2×C3×D3C2×D814yes—
327C2×C3×D3C2×SD1614yes—
328D32—48no—
329D32—416no—
330D32#102116yesdirect product factor
331C32×C4—41no—
332C32×C4C23×C411yescharacteristic
333C32×C4C22×D411yescharacteristic
334C3⋊Dic3—41no—
335C3⋊Dic3C2×C22⋊C412yes—
336C3×Dic3—42no—
337C3×Dic3C2×C22⋊C414yes—
338C25—181no—
339C22×D4—32no—
340C22×D4—92no—
341C22×D4—91no—
342C22×D4—98no—
343C22×D4—91no—
344C22×D4—181no—
345C22×D4—184no—
346C22×D4—182no—
347C23×C4—91no—
348C23×C4—181no—
349C22×C8—32no—
350C22×C8—91no—
351C22×C8—92no—
352C22×C8—91no—
353C22×C8—184no—
354C2×C4⋊C4—32no—
355C2×C4⋊C4—91no—
356C2×C4⋊C4—92no—
357C2×C4⋊C4—91no—
358C2×C4⋊C4—181no—
359C2×C4⋊C4—182no—
360#102—32no—
361#102—32no—
362#102—32no—
363#102—92no—
364#102—92no—
365#102—92no—
366#102—91no—
367#102—91no—
368#102—91no—
369#102D3211yescharacteristic, direct product factor
370C23×C3—22no—
371C23×C3—32no—
372C23×C3—41no—
373C23×C3—68no—
374C23×C3—62no—
375C23×C3—124no—
376C23×C3—124no—
377C22×D3—22no—
378C22×D3—28no—
379C22×D3—32no—
380C22×D3—38no—
381C22×D3—38no—
382C22×D3—38no—
383C22×D3—44no—
384C22×D3—44no—
385C22×D3—61no—
386C22×D3—68no—
387C22×D3—68no—
388C22×D3—68no—
389C22×D3—62no—
390C22×D3—68no—
391C22×D3—124no—
392C22×D3—121no—
393C22×D3—124no—
394C22×D3—124no—
395C22×D3—1264no—
396C22×D3—124no—
397C22×D3—124no—
398C22×D3—124no—
399C22×D3—124no—
400C22×D3—124no—
401C22×D3—124no—
402C22×D3—242no—
403C22×D3—242no—
404C22×D3D3×D412yes—
405C3×D4—22no—
406C3×D4—22no—
407C3×D4—34no—
408C3×D4—41no—
409C3×D4—68no—
410C3×D4—62no—
411C3×D4C2×C4×D314yescomplemented
412C2×C3×C4—22no—
413C2×C3×C4—21no—
414C2×C3×C4—32no—
415C2×C3×C4—34no—
416C2×C3×C4—34no—
417C2×C3×C4—41no—
418C2×C3×C4—62no—
419C2×C3×C4—124no—
420C2×C3×C4C23×D312yes—
421#67—28no—
422#67—68no—
423#67—68no—
424#67—68no—
425#67—124no—
426C2×Dic3—22no—
427C2×Dic3—32no—
428C2×Dic3—38no—
429C2×Dic3—61no—
430C2×Dic3—62no—
431C2×Dic3—121no—
432C2×Dic3—124no—
433C2×Dic3D3×D412yes—
434D12—22no—
435D12—34no—
436D12—62no—
437D12—68no—
438D12—62no—
439D12—121no—
440D12C2×C4×D314yescomplemented
441C4×D3—38no—
442C4×D3—34no—
443C4×D3—34no—
444C4×D3—38no—
445C4×D3—44no—
446C4×D3—62no—
447C4×D3—62no—
448C4×D3—124no—
449C4×D3—124no—
450C4×D3—124no—
451C4×D3—242no—
452C4×D3C2×C4×D314yes—
453C4×D3D3×D414yes—
454C3×C8—22no—
455C3×C8—41no—
456C3×C8—62no—
457C3⋊C8—22no—
458C3⋊C8—62no—
459C3⋊C8—121no—
460C2×C32—42no—
461C2×C32C22×C22⋊C411yescharacteristic
462C2×C32C22×D811yescharacteristic
463C2×C32C22×SD1611yescharacteristic
464C3⋊D3—42no—
465C3⋊D3C2×#10214yescomplemented
466C3×D3—44no—
467C3×D3C2×#10218yescomplemented
468C24—62no—
469C24—91no—
470C24—181no—
471C24—182no—
472C24—188no—
473C24—181no—
474C24—364no—
475C24—364no—
476C2×D4—38no—
477C2×D4—32no—
478C2×D4—64no—
479C2×D4—62no—
480C2×D4—98no—
481C2×D4—94no—
482C2×D4—94no—
483C2×D4—91no—
484C2×D4—184no—
485C2×D4—182no—
486C2×D4—182no—
487C2×D4—188no—
488C2×D4—182no—
489C2×D4—1816no—
490C2×D4—181no—
491C2×D4—181no—
492C2×D4C2×D3211yescharacteristic
493C22×C4—32no—
494C22×C4—62no—
495C22×C4—91no—
496C22×C4—94no—
497C22×C4—94no—
498C22×C4—92no—
499C22×C4—91no—
500C22×C4—181no—
501C22×C4—181no—
502C22×C4—182no—
503C22×C4—364no—
504C2×C8—32no—
505C2×C8—64no—
506C2×C8—91no—
507C2×C8—182no—
508C2×C8—182no—
509C2×C8—184no—
510C2×C8C2×D3211yescharacteristic, complemented
511C4⋊C4—32no—
512C4⋊C4—62no—
513C4⋊C4—91no—
514C4⋊C4—181no—
515C4⋊C4—182no—
516C4⋊C4—181no—
517C4⋊C4C2×D3211yescharacteristic, complemented
518C22×C3—24no—
519C22×C3—21no—
520C22×C3—34no—
521C22×C3—34no—
522C22×C3—34no—
523C22×C3—42no—
524C22×C3—42no—
525C22×C3—42no—
526C22×C3—64no—
527C22×C3—81no—
528C22×C3—81no—
529C22×C3—1216no—
530C22×C3—122no—
531C22×C3—122no—
532C22×C3C2×D3×D412yes—
533C2×D3—24no—
534C2×D3—34no—
535C2×D3—34no—
536C2×D3—34no—
537C2×D3—332no—
538C2×D3—42no—
539C2×D3—42no—
540C2×D3—416no—
541C2×D3—62no—
542C2×D3—62no—
543C2×D3—62no—
544C2×D3—64no—
545C2×D3—122no—
546C2×D3—1216no—
547C2×D3—1216no—
548C2×D3—1216no—
549C2×D3—122no—
550C2×D3—122no—
551C2×D3—1216no—
552C2×D3—248no—
553C2×D3—241no—
554C2×D3—241no—
555C2×D3D3×C22⋊C414yes—
556C2×D3D3×D814yes—
557C2×D3D3×SD1614yes—
558C3×C4—21no—
559C3×C4—21no—
560C3×C4—34no—
561C3×C4—42no—
562C3×C4—81no—
563C3×C4—122no—
564C3×C4C22×C4×D312yes—
565C3×C4C2×D3×D412yes—
566Dic3—34no—
567Dic3—42no—
568Dic3—62no—
569Dic3—122no—
570Dic3—241no—
571Dic3D3×C22⋊C414yes—
572C32C22×#10211yescharacteristic, complemented, Sylow
573C23—21no—
574C23—32no—
575C23—68no—
576C23—62no—
577C23—94no—
578C23—94no—
579C23—94no—
580C23—91no—
581C23—124no—
582C23—124no—
583C23—184no—
584C23—188no—
585C23—184no—
586C23—181no—
587C23—364no—
588C23—364no—
589C23—362no—
590C23—362no—
591C23—3632no—
592C23—362no—
593C23—362no—
594D4—21no—
595D4—34no—
596D4—68no—
597D4—62no—
598D4—92no—
599D4—188no—
600D4—184no—
601D4—184no—
602D4—181no—
603D4C4×D3212yescomplemented
604C2×C4—21no—
605C2×C4—32no—
606C2×C4—34no—
607C2×C4—34no—
608C2×C4—62no—
609C2×C4—94no—
610C2×C4—98no—
611C2×C4—91no—
612C2×C4—92no—
613C2×C4—92no—
614C2×C4—124no—
615C2×C4—181no—
616C2×C4—362no—
617C2×C4—362no—
618C2×C4—364no—
619C2×C4C22×D3211yescharacteristic
620C8—21no—
621C8—62no—
622C8—181no—
623C2×C3—21no—
624C2×C3—21no—
625C2×C3—21no—
626C2×C3—38no—
627C2×C3—44no—
628C2×C3—82no—
629C2×C3—124no—
630C2×C3C2×D3×C22⋊C412yes—
631C2×C3C2×D3×D812yes—
632C2×C3C2×D3×SD1612yes—
633D3—38no—
634D3—44no—
635D3—64no—
636D3—124no—
637D3—242no—
638D3D3×#10218yesdirect product factor
639C22—22no—
640C22—34no—
641C22—34no—
642C22—34no—
643C22—41no—
644C22—41no—
645C22—64no—
646C22—916no—
647C22—92no—
648C22—92no—
649C22—92no—
650C22—1216no—
651C22—122no—
652C22—122no—
653C22—182no—
654C22—3616no—
655C22—368no—
656C22—368no—
657C22—361no—
658C22—361no—
659C22D32×D411yescharacteristic
660C4—34no—
661C4—41no—
662C4—92no—
663C4—122no—
664C4—361no—
665C4C2×C4×D3211yescharacteristic
666C4D32×D411yescharacteristic
667C3—21no—
668C3C2×D3×#10212yescomplemented
669C2—38no—
670C2—42no—
671C2—94no—
672C2—124no—
673C2—362no—
674C2D32×C22⋊C411yescharacteristic
675C2D32×D811yescharacteristic
676C2D32×SD1611yescharacteristic
subgroupG/H
centerC22D32×D4
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radicalC2×D32×D4C2
cosocleC2×C32×C4C24
hypercenter#102D32
hypocenterC32C22×#102
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
2. C2×D32×C8C2semidirect
3. D32×C4⋊C4C2semidirect
4. C3⋊D3×#102C2semidirect
5. C3×D3×#102C2semidirect
6. #10591416C2semidirect
7. D3×#832C2semidirect
8. #10590940C2semidirect
9. D3×#821C2semidirect
10. #10590593C2semidirect
11. D3×#809C2semidirect
19. D32×D4C4semidirect
24. C2×C8×C3⋊D3C22semidirect
25. C4⋊C4×C3⋊D3C22semidirect
26. C2×C3×D3×C8C22semidirect
27. C3×D3×C4⋊C4C22semidirect
28. #63900C22semidirect
29. D3×C4⋊Dic3C22semidirect
32. C2×#3710C22semidirect
33. C2×D3×C3⋊C8C22semidirect
35. C32×#102C22semidirect
36. #63659C22semidirect
37. #63648C22semidirect
38. #63636C22semidirect
39. C3×#832C22semidirect
40. C3×#821C22semidirect
41. C3×#809C22semidirect
42. #63564C22semidirect
43. #63563C22semidirect
44. #63562C22semidirect
60. D3×#102D3direct (N × H)
72. D4×C3⋊D3C2×C4semidirect
78. C3×D3×D4C2×C4semidirect
91. #3802C2×C4semidirect
93. D3×D12C2×C4semidirect
97. C2×C32×C8C23semidirect
98. C32×C4⋊C4C23semidirect
99. C4⋊(C3⋊Dic3)C23semidirect
101. C2×C3⋊(C3⋊C8)C23semidirect
103. C3×C4⋊Dic3C23semidirect
105. C2×C3×C3⋊C8C23semidirect
137. C2×D3×C8C2×D3semidirect
144. D3×C4⋊C4C2×D3semidirect
149. C3×#102C2×D3semidirect
154. #832C2×D3semidirect
159. #821C2×D3semidirect
164. #809C2×D3semidirect
187. C32×D4C22×C4semidirect
194. C4⋊(C3⋊D3)C22×C4semidirect
202. C3×D12C22×C4semidirect
264. D3×D4C4×D3semidirect
287. C2×C3×C8C22×D3semidirect
291. C3×C4⋊C4C22×D3semidirect
295. C4⋊Dic3C22×D3semidirect
304. C2×C3⋊C8C22×D3semidirect
330. D32#102direct (N × H)
369. #102D32direct (N × H)
411. C3×D4C2×C4×D3semidirect
440. D12C2×C4×D3semidirect
465. C3⋊D3C2×#102semidirect
467. C3×D3C2×#102semidirect
510. C2×C8C2×D32semidirect
517. C4⋊C4C2×D32semidirect
572. C32C22×#102semidirect
603. D4C4×D32semidirect
638. D3D3×#102direct (N × H)
668. C3C2×D3×#102semidirect

Maximal subgroups

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

subgroupindex
C2×D32×D42
C2×D32×C82
D32×C4⋊C42
C3⋊D3×#1022
C3×D3×#1022
#105914162
D3×#8322
#105909402
D3×#8212
#105905932
D3×#8092
C2×D3×#1023