Finite Group Databasebeta

← #11900182

Subgroups — #11900182

Order 1152.

3475 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic
2#41×C3⋊Dic3C211yesmaximal, characteristic, complemented
3C3×#5827C211yesmaximal, characteristic, complemented
4#10595394C212yesmaximal, complemented
5Dic3×#239C212yesmaximal, complemented
6#10595215C216yesmaximal, complemented
7D3×D4×Dic3C216yesmaximal, complemented
8#10594986C213yesmaximal, complemented
9#10594982C213yesmaximal, complemented
10#10594958C213yesmaximal, complemented
11C2×#63898C213yesmaximal, complemented
12Dic3×H(5,𝔽2)—31nomaximal
13#85886—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C3×#1009C4116yescomplemented
16C2×C3×#239C2212yes—
17C2×C3×D3×D4C2216yes—
18C2×C3×#235C2213yes—
19C22×C3×D12C2213yes—
20C22×D3×Dic3C2216yescomplemented
21Q8×C3⋊Dic3C2211yescharacteristic, complemented
22Q8×C3⋊Dic3C2211yescharacteristic, complemented
23D4×C3⋊Dic3C2213yescomplemented
24D4×C3⋊Dic3C2213yescomplemented
25#64135C2213yescomplemented
26C2×C4×C3⋊Dic3C2213yescomplemented
27C3×Q8×Dic3C2212yescomplemented
28C3×D4×Dic3C2216yescomplemented
29C3×#926C2213yescomplemented
30C2×C3×C4⋊Dic3C2213yescomplemented
31#67⋊Dic3C2216yescomplemented
32#67⋊Dic3C2216yescomplemented
33Dic3×#67C22112yescomplemented
34D3×#217C22112yescomplemented
35C2×(C2×D3)⋊Dic3C2216yescomplemented
36#63898C2216yescomplemented
37#63898C2216yescomplemented
38#63898C2213yescomplemented
39#63898C2216yescomplemented
40#63898C2213yescomplemented
41Dic3×D12C2216yescomplemented
42Dic3×D12C2216yescomplemented
43D3×C4⋊Dic3C2216yescomplemented
44C4×D3×Dic3C2216yescomplemented
45#63855C2216yescomplemented
46#63843C2211yescharacteristic, complemented
47#63843C2213yescomplemented
48#63841C2216yescomplemented
49C2×C3×H(5,𝔽2)—31no—
50C2×#1009D311yescharacteristic
51C3×#520—31no—
52#5827—32no—
53#5827—33no—
54#5827D311yescharacteristic, complemented
55Dic3×#41—31no—
56Dic3×#41—31no—
57Dic3×#41—32no—
58Dic3×#41—33no—
59Dic3×#41—61no—
60#5798—36no—
61#5798—33no—
62C2×D4×Dic3—36no—
63C2×D4×Dic3—33no—
64#5574—32no—
65C4×#239—32no—
66#5545—36no—
67C4×D3×D4—36no—
68#5522—33no—
69#5521—33no—
70#5504—33no—
71C2×#893—33no—
72C23×C3×D3C2316yes—
73C32×#41C2×C418yescomplemented
74C2×C32×Q8C2311yescharacteristic
75C2×C32×D4C2313yes—
76C22×C32×C4C2313yes—
77C22×C3⋊Dic3C2313yes—
78C22×C3⋊Dic3C2313yes—
79C2×C3×#67C2316yes—
80C22×C3×Dic3C2316yes—
81C3×#239C2×C4116yescomplemented
82C3×D3×D4C2×C4148yescomplemented
83C3×#235C2×C4124yescomplemented
84C2×C3×D12C2×C4124yescomplemented
85C2×C3×D12C2313yes—
86C2×C3×D12C2316yes—
87C2×C3×C4×D3C2316yes—
88C2×C3×Dic6C2311yescharacteristic
89C2×D3×Dic3—412no—
90C2×D3×Dic3C2316yes—
91C2×D3×Dic3C23112yes—
92C2×D3×Dic3C2316yes—
93#3757C2316yes—
94C4⋊(C3⋊Dic3)C2313yes—
95C4⋊(C3⋊Dic3)C2313yes—
96C4×C3⋊Dic3C2311yescharacteristic
97C4×C3⋊Dic3C2313yes—
98C4×C3⋊Dic3C2313yes—
99C4×C3⋊Dic3C2313yes—
100C3×#217C2316yes—
101C3×C4⋊Dic3C2313yes—
102C3×C4⋊Dic3C2316yes—
103C3×C4⋊Dic3C2311yescharacteristic
104C3×C4×Dic3C2316yes—
105Dic3⋊Dic3C2312yes—
106Dic3⋊Dic3C2316yes—
107(C2×D3)⋊Dic3C23112yes—
108(C2×D3)⋊Dic3C2316yes—
109(C2×D3)⋊Dic3C2316yes—
110Dic32C2316yes—
111Dic32C2312yes—
112C4×H(5,𝔽2)—91noSylow
113C3×H(5,𝔽2)—316no—
114C2×C3×#41—21no—
115C2×C3×#41—32no—
116C2×C3×#41—33no—
117C2×C3×#41C2×D311yescharacteristic
118C2×C3×#41C2×D311yescharacteristic
119C22×C3×D4—36no—
120C22×C3×D4—33no—
121C23×Dic3—36no—
122#1009Dic3116yescomplemented
123C2×#239C2×D312yes—
124C2×D3×D4C2×D316yes—
125C2×#235C2×D313yes—
126C22×D12C2×D313yes—
127C22×C4×D3—36no—
128C3×C4×Q8—32no—
129C3×C4×D4—36no—
130C3×#117—33no—
131C2×C3×C4⋊C4—33no—
132C2×#217—36no—
133C2×#217—312no—
134Q8×Dic3—31no—
135Q8×Dic3—31no—
136Q8×Dic3—31no—
137Q8×Dic3—31no—
138Q8×Dic3—31no—
139Q8×Dic3—33no—
140Q8×Dic3—61no—
141Q8×Dic3—61no—
142Q8×Dic3C2×D312yescomplemented
143D4×Dic3—33no—
144D4×Dic3—33no—
145D4×Dic3—33no—
146D4×Dic3—33no—
147D4×Dic3—312no—
148D4×Dic3—36no—
149D4×Dic3—36no—
150D4×Dic3—36no—
151D4×Dic3—33no—
152D4×Dic3—36no—
153D4×Dic3—36no—
154D4×Dic3—33no—
155D4×Dic3—36no—
156D4×Dic3—36no—
157D4×Dic3—63no—
158D4×Dic3—63no—
159D4×Dic3C2×D316yescomplemented
160C4×#67—312no—
161C2×(C2×D3)⋊C4—36no—
162#926—33no—
163#926—33no—
164#926—36no—
165#926—36no—
166#926—63no—
167#926C2×D313yescomplemented
168C2×C4⋊Dic3—36no—
169C2×C4⋊Dic3C2×D313yescomplemented
170C2×C4×Dic3—33no—
171C2×C4×Dic3—33no—
172C2×C4×Dic3—36no—
173C2×C4×Dic3—63no—
174#893—33no—
175#893—36no—
176#893—36no—
177#893—36no—
178#893—33no—
179#892—36no—
180D3×C4⋊C4—36no—
181#887—33no—
182#887—31no—
183#67⋊C4—36no—
184#67⋊C4—36no—
185D3×C22⋊C4—312no—
186C4×D12—36no—
187C4×D12—36no—
188#872—36no—
189C42×D3—36no—
190C23×C32C2413yes—
191C22×C3×D3—46no—
192C22×C3×D3—46no—
193C22×C3×D3C22×C4124yescomplemented
194C22×C3×D3C2416yes—
195C32×Q8C22×C414yescomplemented
196C32×D4C22×C4112yescomplemented
197C2×C32×C4C22×C4112yescomplemented
198C2×C32×C4C2413yes—
199C2×C32×C4C2411yescharacteristic
200C2×C3⋊Dic3—26no—
201C2×C3⋊Dic3—43no—
202C2×C3⋊Dic3C2413yes—
203C2×C3⋊Dic3C2411yescharacteristic
204C2×C3⋊Dic3C2413yes—
205C2×C3⋊Dic3C2411yescharacteristic
206C3×#67C22×C4124yescomplemented
207C2×C3×Dic3—46no—
208C2×C3×Dic3C2412yes—
209C2×C3×Dic3C2416yes—
210C2×C3×Dic3C2412yes—
211C3×D12C22×C4112yescomplemented
212C3×D12C22×C4124yescomplemented
213C3×C4×D3C22×C4124yescomplemented
214C3×Dic6C22×C414yescomplemented
215D3×Dic3—212no—
216D3×Dic3—412no—
217D3×Dic3—46no—
218C2×H(5,𝔽2)—31no—
219#520—31no—
220#520—93no—
221#520—92no—
222#518—93no—
223#518—96no—
224C4×#41—93no—
225C4×#41—92no—
226C4×#41—91no—
227C2×C4×D4—93no—
228C2×C4×D4—96no—
229C24×C3—36no—
230C23×D3C22×D316yes—
231C3×#41—28no—
232C3×#41—316no—
233C3×#41—324no—
234C3×#41C4×D318yescomplemented
235C3×#41C2×Dic318yescomplemented
236C2×C3×Q8—21no—
237C2×C3×Q8—31no—
238C2×C3×Q8C22×D311yescharacteristic
239C2×C3×Q8C22×D311yescharacteristic
240C2×C3×D4—23no—
241C2×C3×D4—36no—
242C2×C3×D4—348no—
243C2×C3×D4—324no—
244C2×C3×D4—33no—
245C2×C3×D4—36no—
246C2×C3×D4C22×D313yes—
247C2×C3×D4C22×D313yes—
248C22×C3×C4—23no—
249C22×C3×C4—36no—
250C22×C3×C4—36no—
251C22×C3×C4C22×D313yes—
252C22×C3×C4C22×D313yes—
253C2×#67C22×D316yes—
254C22×Dic3—33no—
255C22×Dic3—33no—
256C22×Dic3—33no—
257C22×Dic3—33no—
258C22×Dic3—36no—
259C22×Dic3—36no—
260C22×Dic3—312no—
261C22×Dic3—63no—
262C22×Dic3—63no—
263C22×Dic3—1212no—
264C22×Dic3C22×D316yes—
265#239C2×Dic3116yescomplemented
266D3×D4C2×Dic3148yescomplemented
267#235C2×Dic3124yescomplemented
268C2×D12C2×Dic3124yescomplemented
269C2×D12C22×D316yes—
270C2×D12C22×D313yes—
271C2×C4×D3—36no—
272C2×C4×D3—36no—
273C2×C4×D3—312no—
274C2×C4×D3—1212no—
275C2×C4×D3C22×D316yes—
276C2×Dic6C22×D311yescharacteristic
277C3×C4⋊C4—33no—
278C3×C4⋊C4—31no—
279C3×C4⋊C4—36no—
280C3×C22⋊C4—36no—
281C3×C42—36no—
282#217—36no—
283#217—36no—
284#217—312no—
285#217—36no—
286#217—36no—
287#217—66no—
288#217C22×D316yes—
289(C2×D3)⋊C4—36no—
290(C2×D3)⋊C4—36no—
291(C2×D3)⋊C4—312no—
292C4⋊Dic3—33no—
293C4⋊Dic3—33no—
294C4⋊Dic3—33no—
295C4⋊Dic3—33no—
296C4⋊Dic3—36no—
297C4⋊Dic3—32no—
298C4⋊Dic3—63no—
299C4⋊Dic3—63no—
300C4⋊Dic3C22×D316yes—
301C4⋊Dic3C22×D313yes—
302C4⋊Dic3C22×D311yescharacteristic
303Dic3⋊C4—32no—
304Dic3⋊C4—36no—
305C4×Dic3—33no—
306C4×Dic3—33no—
307C4×Dic3—31no—
308C4×Dic3—33no—
309C4×Dic3—31no—
310C4×Dic3—33no—
311C4×Dic3—33no—
312C4×Dic3—33no—
313C4×Dic3—32no—
314C4×Dic3—36no—
315C4×Dic3—32no—
316C4×Dic3—36no—
317C4×Dic3—61no—
318C4×Dic3—63no—
319C4×Dic3—63no—
320C4×Dic3—63no—
321C4×Dic3C22×D316yes—
322C22×C32—23no—
323C22×C32—23no—
324C22×C32C23×C416yes—
325C22×C32C2511yescharacteristic
326C2×C3×D3—26no—
327C2×C3×D3—26no—
328C2×C3×D3—424no—
329C2×C3×D3C23×C4112yes—
330C32×C4C23×C412yes—
331C32×C4C23×C416yes—
332C3⋊Dic3—21no—
333C3⋊Dic3—23no—
334C3⋊Dic3—23no—
335C3⋊Dic3H(5,𝔽2)12yescomplemented
336C3×Dic3—26no—
337C3×Dic3—22no—
338C3×Dic3C23×C414yes—
339H(5,𝔽2)—316no—
340C2×#41—32no—
341C2×#41—33no—
342C2×#41D3211yescharacteristic
343C22×D4—36no—
344C22×D4—33no—
345C23×C4—96no—
346C4×Q8—32no—
347C4×Q8—91no—
348C4×Q8—93no—
349C4×Q8—91no—
350C4×Q8—91no—
351C4×D4—36no—
352C4×D4—96no—
353C4×D4—96no—
354C4×D4—96no—
355C4×D4—96no—
356C4×D4—93no—
357C4×D4—96no—
358C4×D4—96no—
359C4×D4—96no—
360C4×D4—93no—
361C4×D4—912no—
362C4×D4—93no—
363C4×D4—93no—
364#117—33no—
365#117—96no—
366#117—96no—
367#117—93no—
368C2×C4⋊C4—33no—
369C2×C4⋊C4—96no—
370C2×C22⋊C4—912no—
371C2×C22⋊C4—96no—
372C2×C42—96no—
373C2×C42—93no—
374C23×C3—23no—
375C23×C3—36no—
376C23×C3—324no—
377C23×C3—126no—
378C23×C3—126no—
379C23×C3C23×D313yes—
380C23×C3C23×D313yes—
381C22×D3—46no—
382C22×D3—46no—
383C22×D3C22×Dic3124yescomplemented
384C22×D3C23×D316yes—
385C3×Q8—24no—
386C3×Q8—34no—
387C3×Q8C2×C4×D314yescomplemented
388C3×Q8C22×Dic314yescomplemented
389C3×D4—212no—
390C3×D4—324no—
391C3×D4—324no—
392C3×D4—312no—
393C3×D4C2×C4×D3112yescomplemented
394C3×D4C22×Dic3112yescomplemented
395C2×C3×C4—21no—
396C2×C3×C4—23no—
397C2×C3×C4—212no—
398C2×C3×C4—32no—
399C2×C3×C4—324no—
400C2×C3×C4—32no—
401C2×C3×C4—36no—
402C2×C3×C4—126no—
403C2×C3×C4C2×C4×D3112yescomplemented
404C2×C3×C4C22×Dic3112yescomplemented
405C2×C3×C4C23×D311yescharacteristic
406C2×C3×C4C23×D313yes—
407C2×C3×C4C23×D311yescharacteristic
408C2×C3×C4C23×D313yes—
409#67C22×Dic3124yescomplemented
410C2×Dic3—31no—
411C2×Dic3—31no—
412C2×Dic3—31no—
413C2×Dic3—33no—
414C2×Dic3—33no—
415C2×Dic3—31no—
416C2×Dic3—33no—
417C2×Dic3—33no—
418C2×Dic3—46no—
419C2×Dic3—61no—
420C2×Dic3—61no—
421C2×Dic3—63no—
422C2×Dic3—63no—
423C2×Dic3—612no—
424C2×Dic3—66no—
425C2×Dic3—66no—
426C2×Dic3—126no—
427C2×Dic3—126no—
428C2×Dic3—1212no—
429C2×Dic3—123no—
430C2×Dic3—123no—
431C2×Dic3—126no—
432C2×Dic3C23×D312yes—
433C2×Dic3C23×D316yes—
434C2×Dic3C23×D312yes—
435D12C22×Dic3112yescomplemented
436D12C22×Dic3124yescomplemented
437C4×D3—612no—
438C4×D3—126no—
439C4×D3—1212no—
440C4×D3C22×Dic3124yescomplemented
441Dic6C22×Dic314yescomplemented
442C2×C32—26no—
443C2×C32C24×C411yescharacteristic
444C2×C32C2×H(5,𝔽2)11yescharacteristic
445C2×C32#58511yescharacteristic
446C3×D3—212no—
447C24—36no—
448#41—316no—
449#41—324no—
450#41D3×Dic318yescomplemented
451C2×Q8—31no—
452C2×Q8C2×D3211yescharacteristic
453C2×D4—36no—
454C2×D4—348no—
455C2×D4—36no—
456C2×D4—33no—
457C2×D4—324no—
458C2×D4C2×D3213yes—
459C22×C4—36no—
460C22×C4—36no—
461C22×C4—96no—
462C22×C4—96no—
463C22×C4—912no—
464C22×C4—93no—
465C22×C4—93no—
466C22×C4—3612no—
467C22×C4C2×D3213yes—
468C4⋊C4—33no—
469C4⋊C4—36no—
470C4⋊C4—31no—
471C4⋊C4—96no—
472C4⋊C4—92no—
473C4⋊C4—93no—
474C4⋊C4—93no—
475C22⋊C4—36no—
476C22⋊C4—96no—
477C22⋊C4—912no—
478C22⋊C4—96no—
479C22⋊C4—96no—
480C42—36no—
481C42—92no—
482C42—96no—
483C42—93no—
484C42—91no—
485C42—93no—
486C42—93no—
487C22×C3—23no—
488C22×C3—23no—
489C22×C3—23no—
490C22×C3—23no—
491C22×C3—26no—
492C22×C3—21no—
493C22×C3—312no—
494C22×C3—43no—
495C22×C3—43no—
496C22×C3—66no—
497C22×C3—66no—
498C22×C3—1224no—
499C22×C3C22×C4×D316yes—
500C22×C3C23×Dic316yes—
501C22×C3C24×D311yescharacteristic
502C22×C3C24×D311yescharacteristic
503C2×D3—26no—
504C2×D3—26no—
505C2×D3—424no—
506C2×D3C23×Dic3112yes—
507C3×C4—22no—
508C3×C4—26no—
509C3×C4—34no—
510C3×C4—66no—
511C3×C4—62no—
512C3×C4C22×C4×D316yes—
513C3×C4C22×C4×D312yes—
514C3×C4C23×Dic312yes—
515C3×C4C23×Dic316yes—
516Dic3—26no—
517Dic3—22no—
518Dic3—32no—
519Dic3—32no—
520Dic3—62no—
521Dic3—62no—
522Dic3—63no—
523Dic3—63no—
524Dic3—63no—
525Dic3—61no—
526Dic3—61no—
527Dic3—63no—
528Dic3—123no—
529Dic3—123no—
530Dic3C23×Dic314yes—
531C32C4×H(5,𝔽2)11yescharacteristic, complemented, Sylow
532C23—36no—
533C23—324no—
534C23—126no—
535C23—126no—
536C23C22×D3213yes—
537Q8—34no—
538Q8C2×D3×Dic314yescomplemented
539D4—324no—
540D4—324no—
541D4—312no—
542D4C2×D3×Dic3112yescomplemented
543C2×C4—32no—
544C2×C4—324no—
545C2×C4—32no—
546C2×C4—36no—
547C2×C4—91no—
548C2×C4—91no—
549C2×C4—93no—
550C2×C4—93no—
551C2×C4—126no—
552C2×C4—1812no—
553C2×C4—186no—
554C2×C4—3612no—
555C2×C4—366no—
556C2×C4—363no—
557C2×C4C2×D3×Dic3112yescomplemented
558C2×C4C22×D3213yes—
559C2×C4C22×D3211yescharacteristic
560C2×C3—26no—
561C2×C3—26no—
562C2×C3—21no—
563C2×C3—21no—
564C2×C3—21no—
565C2×C3—46no—
566C2×C3—612no—
567C2×C3C23×C4×D311yescharacteristic
568C2×C3D3×H(5,𝔽2)11yescharacteristic
569C2×C3D3×H(5,𝔽2)11yescharacteristic
570C2×C3#596611yescharacteristic
571C2×C3#596811yescharacteristic
572C2×C3C24×Dic311yescharacteristic
573D3—212no—
574C22—23no—
575C22—23no—
576C22—312no—
577C22—66no—
578C22—66no—
579C22—1224no—
580C22C22×D3×Dic316yes—
581C22C23×D3211yescharacteristic
582C4—34no—
583C4—66no—
584C4—62no—
585C4—92no—
586C4—183no—
587C4—181no—
588C4—183no—
589C4C22×D3×Dic316yes—
590C4C22×D3×Dic312yes—
591C3—21no—
592C3#8588611yescharacteristic, complemented
593C3Dic3×H(5,𝔽2)11yescharacteristic, complemented
594C2—26no—
595C2—612no—
596C2#1059669211yescharacteristic
597C2#1059669811yescharacteristic
598C2C23×D3×Dic311yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutatorC2×C32C24×C4
FittingC2×C32×#41C22
socle, cosocleC22×C32C25
prime radicalC2×C3×#1009C2
hypercenterC2×#41D32
hypocenterC32C4×H(5,𝔽2)
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
2. #41×C3⋊Dic3C2semidirect
3. C3×#5827C2semidirect
4. #10595394C2semidirect
5. Dic3×#239C2semidirect
6. #10595215C2semidirect
7. D3×D4×Dic3C2semidirect
8. #10594986C2semidirect
9. #10594982C2semidirect
10. #10594958C2semidirect
11. C2×#63898C2semidirect
15. C3×#1009C4semidirect
20. C22×D3×Dic3C22semidirect
21. Q8×C3⋊Dic3C22semidirect
22. Q8×C3⋊Dic3C22semidirect
23. D4×C3⋊Dic3C22semidirect
24. D4×C3⋊Dic3C22semidirect
25. #64135C22semidirect
26. C2×C4×C3⋊Dic3C22semidirect
27. C3×Q8×Dic3C22semidirect
28. C3×D4×Dic3C22semidirect
29. C3×#926C22semidirect
30. C2×C3×C4⋊Dic3C22semidirect
31. #67⋊Dic3C22semidirect
32. #67⋊Dic3C22semidirect
33. Dic3×#67C22semidirect
34. D3×#217C22semidirect
35. C2×(C2×D3)⋊Dic3C22semidirect
36. #63898C22semidirect
37. #63898C22semidirect
38. #63898C22semidirect
39. #63898C22semidirect
40. #63898C22semidirect
41. Dic3×D12C22semidirect
42. Dic3×D12C22semidirect
43. D3×C4⋊Dic3C22semidirect
44. C4×D3×Dic3C22semidirect
45. #63855C22semidirect
46. #63843C22semidirect
47. #63843C22semidirect
48. #63841C22semidirect
54. #5827D3semidirect
73. C32×#41C2×C4semidirect
81. C3×#239C2×C4semidirect
82. C3×D3×D4C2×C4semidirect
83. C3×#235C2×C4semidirect
84. C2×C3×D12C2×C4semidirect
122. #1009Dic3semidirect
142. Q8×Dic3C2×D3semidirect
159. D4×Dic3C2×D3semidirect
167. #926C2×D3semidirect
169. C2×C4⋊Dic3C2×D3semidirect
193. C22×C3×D3C22×C4semidirect
195. C32×Q8C22×C4semidirect
196. C32×D4C22×C4semidirect
197. C2×C32×C4C22×C4semidirect
206. C3×#67C22×C4semidirect
211. C3×D12C22×C4semidirect
212. C3×D12C22×C4semidirect
213. C3×C4×D3C22×C4semidirect
214. C3×Dic6C22×C4semidirect
234. C3×#41C4×D3semidirect
235. C3×#41C2×Dic3semidirect
265. #239C2×Dic3semidirect
266. D3×D4C2×Dic3semidirect
267. #235C2×Dic3semidirect
268. C2×D12C2×Dic3semidirect
335. C3⋊Dic3H(5,𝔽2)semidirect
383. C22×D3C22×Dic3semidirect
387. C3×Q8C2×C4×D3semidirect
388. C3×Q8C22×Dic3semidirect
393. C3×D4C2×C4×D3semidirect
394. C3×D4C22×Dic3semidirect
403. C2×C3×C4C2×C4×D3semidirect
404. C2×C3×C4C22×Dic3semidirect
409. #67C22×Dic3semidirect
435. D12C22×Dic3semidirect
436. D12C22×Dic3semidirect
440. C4×D3C22×Dic3semidirect
441. Dic6C22×Dic3semidirect
450. #41D3×Dic3semidirect
531. C32C4×H(5,𝔽2)semidirect
538. Q8C2×D3×Dic3semidirect
542. D4C2×D3×Dic3semidirect
557. C2×C4C2×D3×Dic3semidirect
592. C3#85886semidirect
593. C3Dic3×H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
#41×C3⋊Dic32
C3×#58272
#105953942
Dic3×#2392
#105952152
D3×D4×Dic32
#105949862
#105949822
#105949582
C2×#638982
Dic3×H(5,𝔽2)3
#858863