Finite Group Databasebeta

← #11903247

Subgroups — #11903247

Order 1152.

2613 conjugacy classes of subgroups.

The subgroup lattice has 681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×D4×C3⋊D3C211yesmaximal, characteristic
2C3×#5543C212yesmaximal, complemented
3#10595274C212yesmaximal, complemented
4D4×#624C212yesmaximal
5#10594991C214yesmaximal, complemented
6C2×#63900C212yesmaximal, complemented
7#10594925C212yesmaximal, complemented
8#10594484C212yesmaximal, complemented
9#10594482C212yesmaximal, complemented
10#10594168C214yesmaximal, complemented
11#10594067C214yesmaximal, complemented
12#10593958C212yesmaximal, complemented
13#10593909C211yesmaximal, characteristic, complemented
14C4×#3797C211yesmaximal, characteristic, complemented
15D3×#554—32nomaximal
16C2×D4×C3⋊D3C2211yescharacteristic
17C22×C4×C3⋊D3C2212yes—
18C22×#624C2214yes—
19C2×#3797C2211yescharacteristic
20C2×#3797C2212yes—
21C32×C4×D4C2211yescharacteristic
22D4×C3⋊Dic3C2211yescharacteristic
23C4×#638C2212yes—
24#64102C2211yescharacteristic
25C4⋊C4×C3⋊D3C2211yescharacteristic
26#64090C2212yes—
27C22⋊C4×C3⋊D3C2212yes—
28C4×C4⋊(C3⋊D3)C2211yescharacteristic
29C42×C3⋊D3C2211yescharacteristic
30C3×D4×Dic3C2214yes—
31C2×C3×C4⋊Dic3C2214yescomplemented
32C3×#924C2214yescomplemented
33C3×#890C2214yescomplemented
34C3×#878C2218yescomplemented
35C3×#869C2212yescomplemented
36C3×C4×Dic6C2212yescomplemented
37#63982C2214yescomplemented
38#63974C2214yes—
39C2×#3724C2214yescomplemented
40#63964C2218yescomplemented
41#63952C2218yes—
42#63919C2212yescomplemented
43#63919C2212yescomplemented
44C4×#627C2212yescomplemented
45#63900C2214yes—
46#63900C2212yes—
47#63900C2211yescharacteristic
48#63900C2212yes—
49#63900C2214yescomplemented
50#63900C2214yescomplemented
51#63895C2218yescomplemented
52#63894C2214yes—
53#63888C2218yescomplemented
54#63883C2212yes—
55#63883C2214yes—
56C4×#624C2212yes—
57#63873C2212yescomplemented
58#63871C2214yescomplemented
59#63869C2214yescomplemented
60#63865C2214yescomplemented
61#63847C2218yescomplemented
62#63843C2212yescomplemented
63#63838C2212yescomplemented
64C3×#554—32no—
65#5730—32no—
66D3×C4⋊Q8—32no—
67#5690—34no—
68D3×#125—34no—
69#5636—38no—
70#5635—34no—
71D3×C22⋊Q8—34no—
72D3×C22⋊Q8—38no—
73#5579—32no—
74C4×D3×Q8—32no—
75C4×D3×D4—32no—
76C4×D3×D4—34no—
77C4×D3×D4—61no—
78#5543D312yescomplemented
79#5539—34no—
80#5511—34no—
81C2×D3×C4⋊C4—34no—
82C23×C3⋊D3C2312yes—
83C2×C32×D4C2311yescharacteristic
84C22×C32×C4C2312yes—
85C2×#638C2312yes—
86C22×C3⋊Dic3C2312yes—
87D4×C3⋊D3Q818yescomplemented
88C2×C4⋊(C3⋊D3)C2311yescharacteristic
89C2×C4×C3⋊D3—28no—
90C2×C4×C3⋊D3C2311yescharacteristic
91C2×C4×C3⋊D3C2312yes—
92C2×C4×C3⋊D3C2312yes—
93C2×C4×C3⋊D3C2312yes—
94C2×C4×C3⋊D3C2311yescharacteristic
95C2×C4×C3⋊D3C2311yescharacteristic
96C22×C3×Dic3C2318yes—
97C2×C3×Dic6C2312yes—
98C2×C3×Dic6C2314yes—
99C2×#627C2312yes—
100C2×#627C2314yes—
101C2×#624—48no—
102C2×#624C2314yes—
103C2×#624C2312yes—
104C2×#624C2312yes—
105C2×#624C2318yes—
106#3797—24no—
107#3797—44no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C22⋊C4C2312yes—
110C32×C42C2311yescharacteristic
111#3757C2312yes—
112#3752C2312yes—
113#3752C2312yes—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750C2312yes—
116C4×C3⋊Dic3C2311yescharacteristic
117C4×C3⋊Dic3C2311yescharacteristic
118C4×C3⋊Dic3C2311yescharacteristic
119C3×#217C2318yes—
120C3×C4⋊Dic3C2318yes—
121C3×C4⋊Dic3C2314yes—
122C3×C4⋊Dic3C2314yes—
123C3×C4⋊Dic3C2312yes—
124C3×Dic3⋊C4C2314yes—
125C3×Dic3⋊C4C2318yes—
126C3×C4×Dic3C2314yes—
127#3724C2312yes—
128#3724C2314yes—
129#3724C2318yes—
130#3724C2314yes—
131Dic3⋊Dic3C2314yes—
132Dic3⋊Dic3C2318yes—
133#3722C2318yes—
134Dic32C2314yes—
135C2×#554—91noSylow
136C2×D3×Q8—32no—
137C2×D3×Q8—34no—
138C2×D3×D4—32no—
139C2×D3×D4—61no—
140C22×C4×D3—34no—
141C22×C4×D3—38no—
142C22×C4×D3—62no—
143C3×C4⋊Q8—32no—
144C3×#125—34no—
145C3×C22⋊Q8—34no—
146C3×C22⋊Q8—38no—
147C3×C4×Q8—32no—
148C3×C4×D4—21no—
149C3×C4×D4—34no—
150C3×C4×D4C2×D312yes—
151C2×C3×C4⋊C4—34no—
152#946—34no—
153#946—38no—
154Q8×Dic3—32no—
155#944—34no—
156D4×Dic3—32no—
157D4×Dic3—61no—
158D4×Dic3C2×D314yes—
159C4×#67—34no—
160C4×#67—38no—
161C4×#67—62no—
162C2×C4⋊Dic3C2×D314yescomplemented
163#924—38no—
164#924C2×D314yescomplemented
165C2×Dic3⋊C4—38no—
166#897—34no—
167#897—38no—
168#896—38no—
169#896—38no—
170#896—38no—
171#893—32no—
172#893—34no—
173#893—61no—
174D3×C4⋊C4—32no—
175D3×C4⋊C4—34no—
176D3×C4⋊C4—38no—
177D3×C4⋊C4—34no—
178D3×C4⋊C4—38no—
179D3×C4⋊C4—34no—
180D3×C4⋊C4—32no—
181D3×C4⋊C4—34no—
182D3×C4⋊C4—38no—
183D3×C4⋊C4—34no—
184D3×C4⋊C4—61no—
185#890—34no—
186#890C2×D314yescomplemented
187#889—38no—
188#889—38no—
189#888—34no—
190#888—34no—
191#887—32no—
192#887—34no—
193#67⋊C4—38no—
194#67⋊C4—34no—
195#67⋊C4—62no—
196D3×C22⋊C4—34no—
197D3×C22⋊C4—38no—
198D3×C22⋊C4—62no—
199#878—38no—
200#878—38no—
201#878C2×D318yescomplemented
202C4×D12—32no—
203C4×D12—34no—
204C4×D12—61no—
205C42×D3—32no—
206C42×D3—34no—
207C42×D3—61no—
208#870—34no—
209#869C2×D312yescomplemented
210C4×Dic6—34no—
211C4×Dic6C2×D312yescomplemented
212C23×C32C2412yes—
213C22×C3⋊D3—24no—
214C22×C3⋊D3—24no—
215C22×C3⋊D3C2×Q818yes—
216C22×C3⋊D3C2412yes—
217C22×C3⋊D3C2411yescharacteristic
218C32×D4C2×Q814yescomplemented
219C2×C32×C4—24no—
220C2×C32×C4C2412yes—
221C2×C32×C4C2411yescharacteristic
222C2×C32×C4C2411yescharacteristic
223C2×C32×C4C2411yescharacteristic
224#638C2×Q818yescomplemented
225C2×C3⋊Dic3—24no—
226C2×C3⋊Dic3C2412yes—
227C2×C3⋊Dic3C2411yescharacteristic
228C2×C3⋊Dic3C2411yescharacteristic
229C2×C3⋊Dic3C2411yescharacteristic
230C4⋊(C3⋊D3)C2×Q814yescomplemented
231C4×C3⋊D3—24no—
232C4×C3⋊D3—22no—
233C4×C3⋊D3—24no—
234C4×C3⋊D3—24no—
235C4×C3⋊D3C2×Q814yes—
236C4×C3⋊D3#4114yes—
237C2×C3×Dic3—48no—
238C2×C3×Dic3C2414yes—
239C2×C3×Dic3C2414yes—
240C2×C3×Dic3C2418yes—
241C3×Dic6—24no—
242C3×Dic6—44no—
243#627—24no—
244#627—44no—
245#624—24no—
246#624—28no—
247#624—24no—
248#624—48no—
249#554—32no—
250#554—94no—
251#554—92no—
252#554—92no—
253#554—94no—
254#554—92no—
255C2×C4⋊Q8—91no—
256C2×#125—92no—
257C2×C22⋊Q8—92no—
258C2×C22⋊Q8—94no—
259C2×C4×Q8—91no—
260C2×C4×D4—92no—
261C2×C4×D4—91no—
262C22×C4⋊C4—92no—
263C23×D3—34no—
264C23×D3—62no—
265C2×C3×Q8—32no—
266C2×C3×Q8—34no—
267C2×C3×D4—21no—
268C2×C3×D4C22×D312yes—
269C22×C3×C4—22no—
270C22×C3×C4—38no—
271C22×C3×C4C22×D314yes—
272C2×#67—34no—
273C2×#67—62no—
274C22×Dic3—34no—
275C22×Dic3—62no—
276C22×Dic3C22×D318yes—
277D3×Q8—68no—
278D3×Q8—128no—
279D3×D4—316no—
280D3×D4—68no—
281C2×D12—32no—
282C2×D12—61no—
283C2×C4×D3—32no—
284C2×C4×D3—32no—
285C2×C4×D3—32no—
286C2×C4×D3—34no—
287C2×C4×D3—34no—
288C2×C4×D3—34no—
289C2×C4×D3—34no—
290C2×C4×D3—34no—
291C2×C4×D3—38no—
292C2×C4×D3—38no—
293C2×C4×D3—38no—
294C2×C4×D3—61no—
295C2×C4×D3—61no—
296C2×C4×D3—61no—
297C2×C4×D3—62no—
298C2×C4×D3—62no—
299C2×C4×D3—62no—
300C2×C4×D3—616no—
301C2×C4×D3—128no—
302C2×C4×D3—1216no—
303C2×Dic6—34no—
304C2×Dic6—38no—
305C2×Dic6C22×D312yes—
306C2×Dic6C22×D314yes—
307C3×C4⋊C4—21no—
308C3×C4⋊C4—32no—
309C3×C4⋊C4—34no—
310C3×C4⋊C4—34no—
311C3×C4⋊C4—34no—
312C3×C4⋊C4—38no—
313C3×C4⋊C4—38no—
314C3×C4⋊C4C22×D312yes—
315C3×C22⋊C4—22no—
316C3×C22⋊C4—38no—
317C3×C22⋊C4C22×D314yes—
318C3×C42—21no—
319C3×C42—34no—
320C3×C42C22×D312yes—
321#217—34no—
322#217—62no—
323#217C22×D318yes—
324(C2×D3)⋊C4—34no—
325(C2×D3)⋊C4—34no—
326(C2×D3)⋊C4—38no—
327(C2×D3)⋊C4—38no—
328(C2×D3)⋊C4—62no—
329(C2×D3)⋊C4—62no—
330C4⋊Dic3—32no—
331C4⋊Dic3—34no—
332C4⋊Dic3—38no—
333C4⋊Dic3—61no—
334C4⋊Dic3C22×D312yes—
335C4⋊Dic3C22×D314yes—
336C4⋊Dic3C22×D314yes—
337C4⋊Dic3C22×D318yes—
338Dic3⋊C4—34no—
339Dic3⋊C4—34no—
340Dic3⋊C4—34no—
341Dic3⋊C4—38no—
342Dic3⋊C4—38no—
343Dic3⋊C4—38no—
344Dic3⋊C4—38no—
345Dic3⋊C4—38no—
346Dic3⋊C4—62no—
347Dic3⋊C4C22×D314yes—
348Dic3⋊C4C22×D318yes—
349C4×Dic3—32no—
350C4×Dic3—32no—
351C4×Dic3—32no—
352C4×Dic3—34no—
353C4×Dic3—34no—
354C4×Dic3—61no—
355C4×Dic3—61no—
356C4×Dic3—61no—
357C4×Dic3C22×D314yes—
358C22×C32—22no—
359C22×C32—22no—
360C22×C32C22×Q814yes—
361C22×C32C2511yescharacteristic
362C2×C3⋊D3—22no—
363C2×C3⋊D3—22no—
364C2×C3⋊D3—216no—
365C2×C3⋊D3C22×Q814yes—
366C2×C3⋊D3C22×Q812yes—
367C2×C3⋊D3C2×#4112yes—
368C2×C3⋊D3H(5,𝔽2)12yes—
369C32×C4—22no—
370C32×C4—21no—
371C32×C4C22×Q812yes—
372C32×C4C2×#4112yes—
373C3⋊Dic3—22no—
374C3⋊Dic3—21no—
375C3⋊Dic3C22×Q812yes—
376C3⋊Dic3C2×#4112yes—
377C3×Dic3—24no—
378C3×Dic3—24no—
379C3×Dic3—28no—
380C22×Q8—91no—
381C22×Q8—92no—
382C22×D4—91no—
383C23×C4—94no—
384C23×C4—92no—
385C4⋊Q8—32no—
386C4⋊Q8—92no—
387C4⋊Q8—92no—
388C4⋊Q8—92no—
389#125—34no—
390#125—94no—
391#125—98no—
392C22⋊Q8—34no—
393C22⋊Q8—38no—
394C22⋊Q8—94no—
395C22⋊Q8—98no—
396C22⋊Q8—94no—
397C22⋊Q8—98no—
398C22⋊Q8—98no—
399C22⋊Q8—94no—
400C4×Q8—32no—
401C4×Q8—92no—
402C4×Q8—92no—
403C4×Q8—92no—
404C4×D4—34no—
405C4×D4—94no—
406C4×D4—98no—
407C4×D4—91no—
408C4×D4—92no—
409C4×D4—91no—
410C4×D4—92no—
411C4×D4—91no—
412C4×D4D3211yescharacteristic
413C2×C4⋊C4—34no—
414C2×C4⋊C4—91no—
415C2×C4⋊C4—94no—
416C2×C4⋊C4—92no—
417C2×C4⋊C4—94no—
418C2×C4⋊C4—94no—
419C2×C4⋊C4—92no—
420C2×C4⋊C4—92no—
421C2×C4⋊C4—94no—
422C2×C4⋊C4—94no—
423C2×C4⋊C4—91no—
424C2×C22⋊C4—94no—
425C2×C22⋊C4—92no—
426C2×C42—92no—
427C2×C42—91no—
428C23×C3—22no—
429C23×C3C23×D314yes—
430C22×D3—32no—
431C22×D3—316no—
432C22×D3—34no—
433C22×D3—61no—
434C22×D3—68no—
435C22×D3—62no—
436C22×D3—68no—
437C22×D3—68no—
438C22×D3—124no—
439C22×D3—124no—
440C3×Q8—64no—
441C3×Q8—124no—
442C3×D4—24no—
443C3×D4D3×Q818yescomplemented
444C2×C3×C4—28no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—22no—
449C2×C3×C4—34no—
450C2×C3×C4—34no—
451C2×C3×C4—38no—
452C2×C3×C4—44no—
453C2×C3×C4—128no—
454C2×C3×C4C23×D312yes—
455C2×C3×C4C23×D314yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458#67—316no—
459#67—68no—
460C2×Dic3—32no—
461C2×Dic3—32no—
462C2×Dic3—32no—
463C2×Dic3—34no—
464C2×Dic3—48no—
465C2×Dic3—61no—
466C2×Dic3—61no—
467C2×Dic3—61no—
468C2×Dic3—62no—
469C2×Dic3—68no—
470C2×Dic3—124no—
471C2×Dic3C23×D314yes—
472C2×Dic3C23×D314yes—
473C2×Dic3C23×D318yes—
474D12—38no—
475D12—64no—
476C4×D3—38no—
477C4×D3—38no—
478C4×D3—64no—
479C4×D3—64no—
480C4×D3—68no—
481C4×D3—616no—
482C4×D3—68no—
483C4×D3—68no—
484C4×D3—68no—
485C4×D3—64no—
486C4×D3—68no—
487C4×D3—124no—
488C4×D3—124no—
489C4×D3—122no—
490C4×D3—124no—
491C4×D3—128no—
492C4×D3—128no—
493Dic6—24no—
494Dic6—44no—
495Dic6—68no—
496Dic6—128no—
497C2×C32—24no—
498C2×C32C23×Q811yescharacteristic
499C2×C32C22×#4111yescharacteristic
500C2×C32C2×H(5,𝔽2)11yescharacteristic
501C3⋊D3—24no—
502C3⋊D3#55414yescomplemented
503C24—92no—
504C2×Q8—32no—
505C2×Q8—34no—
506C2×Q8—92no—
507C2×Q8—94no—
508C2×Q8—184no—
509C2×Q8—364no—
510C2×D4—92no—
511C2×D4—98no—
512C2×D4—91no—
513C2×D4C2×D3211yescharacteristic
514C22×C4—38no—
515C22×C4—92no—
516C22×C4—92no—
517C22×C4—94no—
518C22×C4—98no—
519C22×C4—91no—
520C22×C4—91no—
521C22×C4—92no—
522C22×C4—91no—
523C22×C4—92no—
524C22×C4—92no—
525C22×C4—92no—
526C22×C4—188no—
527C22×C4—368no—
528C22×C4C2×D3212yes—
529C4⋊C4—32no—
530C4⋊C4—38no—
531C4⋊C4—34no—
532C4⋊C4—34no—
533C4⋊C4—34no—
534C4⋊C4—38no—
535C4⋊C4—92no—
536C4⋊C4—98no—
537C4⋊C4—94no—
538C4⋊C4—94no—
539C4⋊C4—94no—
540C4⋊C4—98no—
541C4⋊C4—92no—
542C4⋊C4—91no—
543C4⋊C4C2×D3211yescharacteristic
544C22⋊C4—38no—
545C22⋊C4—98no—
546C22⋊C4—92no—
547C22⋊C4—92no—
548C22⋊C4—92no—
549C22⋊C4C2×D3212yes—
550C42—34no—
551C42—94no—
552C42—91no—
553C42—91no—
554C42—91no—
555C42C2×D3211yescharacteristic
556C22×C3—24no—
557C22×C3—24no—
558C22×C3—24no—
559C22×C3—21no—
560C22×C3—42no—
561C22×C3—42no—
562C22×C3C2×D3×Q818yes—
563C22×C3C24×D312yes—
564C2×D3—34no—
565C2×D3—34no—
566C2×D3—34no—
567C2×D3—38no—
568C2×D3—62no—
569C2×D3—62no—
570C2×D3—62no—
571C2×D3—64no—
572C2×D3—632no—
573C2×D3—64no—
574C2×D3—64no—
575C2×D3—1216no—
576C2×D3—122no—
577C2×D3—122no—
578C3×C4—24no—
579C3×C4—22no—
580C3×C4—22no—
581C3×C4—22no—
582C3×C4—42no—
583C3×C4—41no—
584C3×C4—64no—
585C3×C4—68no—
586C3×C4—64no—
587C3×C4C2×D3×Q814yes—
588C3×C4D3×#4114yes—
589Dic3—24no—
590Dic3—28no—
591Dic3—24no—
592Dic3—34no—
593Dic3—34no—
594Dic3—62no—
595Dic3—62no—
596Dic3—64no—
597Dic3—62no—
598Dic3—122no—
599Dic3—121no—
600C32C2×#55411yescharacteristic, complemented, Sylow
601C23—91no—
602C23—98no—
603C23—92no—
604C23—184no—
605C23—184no—
606C23C22×D3212yes—
607Q8—64no—
608Q8—124no—
609Q8—184no—
610Q8—364no—
611D4—98no—
612D4—94no—
613D4#379714yescomplemented
614C2×C4—24no—
615C2×C4—34no—
616C2×C4—34no—
617C2×C4—38no—
618C2×C4—91no—
619C2×C4—91no—
620C2×C4—94no—
621C2×C4—94no—
622C2×C4—91no—
623C2×C4—92no—
624C2×C4—128no—
625C2×C4—184no—
626C2×C4—184no—
627C2×C4—182no—
628C2×C4—184no—
629C2×C4—188no—
630C2×C4—184no—
631C2×C4—184no—
632C2×C4—184no—
633C2×C4—368no—
634C2×C4C22×D3211yescharacteristic
635C2×C4C22×D3212yes—
636C2×C4C22×D3211yescharacteristic
637C2×C4C22×D3211yescharacteristic
638C2×C3—28no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—44no—
643C2×C3C22×D3×Q812yes—
644C2×C3C2×D3×#4112yes—
645C2×C3D3×H(5,𝔽2)12yes—
646D3—38no—
647D3—64no—
648D3—68no—
649D3—124no—
650C22—22no—
651C22—22no—
652C22—92no—
653C22—92no—
654C22—92no—
655C22—94no—
656C22—1816no—
657C22—182no—
658C22—182no—
659C22C2×#379714yes—
660C22C23×D3211yescharacteristic
661C4—22no—
662C4—21no—
663C4—64no—
664C4—64no—
665C4—68no—
666C4—92no—
667C4—92no—
668C4—182no—
669C4—181no—
670C4C2×#379712yes—
671C4#6431212yes—
672C3—21no—
673C3D3×#55412yescomplemented
674C2—24no—
675C2—94no—
676C2—184no—
677C2C22×#379711yescharacteristic
678C2C2×#6431211yescharacteristic
679C2#1059669211yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×D4C22
prime radicalC2×D4×C3⋊D3C22
hypercenterC4×D4D32
hypocenterC32C2×#554
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
2. C3×#5543C2semidirect
3. #10595274C2semidirect
5. #10594991C2semidirect
6. C2×#63900C2semidirect
7. #10594925C2semidirect
8. #10594484C2semidirect
9. #10594482C2semidirect
10. #10594168C2semidirect
11. #10594067C2semidirect
12. #10593958C2semidirect
13. #10593909C2semidirect
14. C4×#3797C2semidirect
31. C2×C3×C4⋊Dic3C22semidirect
32. C3×#924C22semidirect
33. C3×#890C22semidirect
34. C3×#878C22semidirect
35. C3×#869C22semidirect
36. C3×C4×Dic6C22semidirect
37. #63982C22semidirect
39. C2×#3724C22semidirect
40. #63964C22semidirect
42. #63919C22semidirect
43. #63919C22semidirect
44. C4×#627C22semidirect
49. #63900C22semidirect
50. #63900C22semidirect
51. #63895C22semidirect
53. #63888C22semidirect
57. #63873C22semidirect
58. #63871C22semidirect
59. #63869C22semidirect
60. #63865C22semidirect
61. #63847C22semidirect
62. #63843C22semidirect
63. #63838C22semidirect
78. #5543D3semidirect
87. D4×C3⋊D3Q8semidirect
162. C2×C4⋊Dic3C2×D3semidirect
164. #924C2×D3semidirect
186. #890C2×D3semidirect
201. #878C2×D3semidirect
209. #869C2×D3semidirect
211. C4×Dic6C2×D3semidirect
218. C32×D4C2×Q8semidirect
224. #638C2×Q8semidirect
230. C4⋊(C3⋊D3)C2×Q8semidirect
443. C3×D4D3×Q8semidirect
502. C3⋊D3#554semidirect
600. C32C2×#554semidirect
613. D4#3797semidirect
673. C3D3×#554semidirect

Maximal subgroups

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

subgroupindex
C4×D4×C3⋊D32
C3×#55432
#105952742
D4×#6242
#105949912
C2×#639002
#105949252
#105944842
#105944822
#105941682
#105940672
#105939582
#105939092
C4×#37972
D3×#5543