Finite Group Databasebeta

← Dic3×#1009 #11900183

Subgroups — Dic3×#1009 #11900183

Order 1152.

3467 conjugacy classes of subgroups.

The subgroup lattice has 590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic
2#10596298C211yesmaximal, characteristic, complemented
3C3×Dic3×#41C211yesmaximal, characteristic, complemented
4#10595394C212yesmaximal, complemented
5Dic3×#239C212yesmaximal, complemented
6#10595215C216yesmaximal, complemented
7D3×D4×Dic3C216yesmaximal, complemented
8#10594992C213yesmaximal, complemented
9#10594982C213yesmaximal, complemented
10Dic3×#235C213yesmaximal, complemented
11C2×Dic3×D12C213yesmaximal, complemented
12Dic3×H(5,𝔽2)—31nomaximal
13C4×#1009—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C3×#1009C4116yescomplemented
16C2×C3×#239C2212yes—
17C2×C3×D3×D4C2216yes—
18C2×C3×#235C2213yes—
19C22×C3×D12C2213yes—
20C22×D3×Dic3C2216yescomplemented
21Q8×C3⋊Dic3C2212yescomplemented
22D4×C3⋊Dic3C2216yescomplemented
23#64135C2213yescomplemented
24C2×C4⋊(C3⋊Dic3)C2213yescomplemented
25C3×Q8×Dic3C2211yescharacteristic, complemented
26C3×Q8×Dic3C2211yescharacteristic, complemented
27C3×D4×Dic3C2213yescomplemented
28C3×D4×Dic3C2213yescomplemented
29C3×#926C2213yescomplemented
30C2×C3×C4×Dic3C2213yescomplemented
31#67⋊Dic3C22112yescomplemented
32Dic3×#67C2216yescomplemented
33Dic3×#67C2216yescomplemented
34D3×#217C22112yescomplemented
35C2×(C2×D3)⋊Dic3C2216yescomplemented
36#63898C2216yescomplemented
37#63898C2216yescomplemented
38Dic3×D12C2216yescomplemented
39Dic3×D12C2216yescomplemented
40Dic3×D12C2213yescomplemented
41Dic3×D12C2216yescomplemented
42Dic3×D12C2213yescomplemented
43D3×C4⋊Dic3C2216yescomplemented
44C4×D3×Dic3C2216yescomplemented
45#63855C2216yescomplemented
46Dic3×Dic6C2211yescharacteristic, complemented
47Dic3×Dic6C2213yescomplemented
48#63841C2216yescomplemented
49C2×C3×H(5,𝔽2)—31no—
50C2×#1009D311yescharacteristic
51C3×C4×#41—31no—
52#5827—31no—
53#5827—31no—
54#5827—32no—
55#5827—33no—
56#5827—61no—
57Dic3×#41—32no—
58Dic3×#41—33no—
59Dic3×#41D311yescharacteristic, complemented
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#5523—33no—
69#5521—33no—
70C4×#235—33no—
71C2×C4×D12—33no—
72C23×C3×D3C2316yes—
73C32×#41C2×C418yescomplemented
74C2×C32×Q8C2311yescharacteristic
75C2×C32×D4C2313yes—
76C22×C32×C4C2313yes—
77C22×C3⋊Dic3C2316yes—
78C2×C3×#67C2316yes—
79C22×C3×Dic3C2313yes—
80C22×C3×Dic3C2313yes—
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)C2316yes—
95C4⋊(C3⋊Dic3)C2313yes—
96C4⋊(C3⋊Dic3)C2311yescharacteristic
97C4×C3⋊Dic3C2316yes—
98C3×#217C2316yes—
99C3×C4⋊Dic3C2313yes—
100C3×C4⋊Dic3C2313yes—
101C3×C4×Dic3C2311yescharacteristic
102C3×C4×Dic3C2313yes—
103C3×C4×Dic3C2313yes—
104C3×C4×Dic3C2313yes—
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#1009Dic3116yesdirect product factor
123C2×#239C2×D312yes—
124C2×D3×D4C2×D316yes—
125C2×#235C2×D313yes—
126C22×D12C2×D313yes—
127C22×C4×D3—36no—
128C3×C4×Q8—31no—
129C3×C4×Q8—31no—
130C3×C4×D4—33no—
131C3×C4×D4—33no—
132C3×#117—33no—
133C2×C3×C42—33no—
134C2×#217—36no—
135C2×#217—312no—
136Q8×Dic3—32no—
137Q8×Dic3—32no—
138Q8×Dic3—31no—
139Q8×Dic3—33no—
140Q8×Dic3—62no—
141Q8×Dic3C2×D311yescharacteristic, complemented
142Q8×Dic3C2×D311yescharacteristic, complemented
143D4×Dic3—36no—
144D4×Dic3—36no—
145D4×Dic3—36no—
146D4×Dic3—36no—
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—66no—
156D4×Dic3C2×D313yescomplemented
157D4×Dic3C2×D313yescomplemented
158C4×#67—36no—
159C4×#67—36no—
160C2×(C2×D3)⋊C4—36no—
161#926—33no—
162#926—33no—
163#926—36no—
164#926—36no—
165#926—63no—
166#926C2×D313yescomplemented
167C2×C4⋊Dic3—33no—
168C2×C4⋊Dic3—33no—
169C2×C4⋊Dic3—36no—
170C2×C4⋊Dic3—63no—
171C2×C4×Dic3—36no—
172C2×C4×Dic3C2×D313yescomplemented
173#893—36no—
174#893—36no—
175#892—36no—
176D3×C4⋊C4—36no—
177#67⋊C4—312no—
178D3×C22⋊C4—312no—
179C4×D12—33no—
180C4×D12—36no—
181C4×D12—36no—
182C4×D12—36no—
183C4×D12—33no—
184#872—36no—
185C42×D3—36no—
186C4×Dic6—31no—
187C4×Dic6—33no—
188C23×C32C2413yes—
189C22×C3×D3—46no—
190C22×C3×D3—46no—
191C22×C3×D3C22×C4124yescomplemented
192C22×C3×D3C2416yes—
193C32×Q8C22×C414yescomplemented
194C32×D4C22×C4112yescomplemented
195C2×C32×C4C22×C4112yescomplemented
196C2×C32×C4C2411yescharacteristic
197C2×C32×C4C2413yes—
198C2×C3⋊Dic3—46no—
199C2×C3⋊Dic3C2412yes—
200C2×C3⋊Dic3C2416yes—
201C3×#67C22×C4124yescomplemented
202C2×C3×Dic3—26no—
203C2×C3×Dic3—43no—
204C2×C3×Dic3C2413yes—
205C2×C3×Dic3C2411yescharacteristic
206C2×C3×Dic3C2413yes—
207C2×C3×Dic3C2412yes—
208C2×C3×Dic3C2411yescharacteristic
209C3×D12C22×C4112yescomplemented
210C3×D12C22×C4124yescomplemented
211C3×C4×D3C22×C4124yescomplemented
212C3×Dic6C22×C414yescomplemented
213D3×Dic3—212no—
214D3×Dic3—412no—
215D3×Dic3—46no—
216C2×H(5,𝔽2)—31no—
217#520—93no—
218#520—92no—
219#520—91no—
220#518—93no—
221#518—96no—
222C4×#41—31no—
223C4×#41—93no—
224C4×#41—92no—
225C2×C4×D4—93no—
226C2×C4×D4—96no—
227C24×C3—36no—
228C23×D3C22×D316yes—
229C3×#41—28no—
230C3×#41—316no—
231C3×#41—324no—
232C3×#41C4×D318yescomplemented
233C3×#41C2×Dic318yescomplemented
234C2×C3×Q8—21no—
235C2×C3×Q8—31no—
236C2×C3×Q8C22×D311yescharacteristic
237C2×C3×Q8C22×D311yescharacteristic
238C2×C3×D4—23no—
239C2×C3×D4—36no—
240C2×C3×D4—348no—
241C2×C3×D4—324no—
242C2×C3×D4—36no—
243C2×C3×D4—33no—
244C2×C3×D4C22×D313yes—
245C2×C3×D4C22×D313yes—
246C22×C3×C4—23no—
247C22×C3×C4—36no—
248C22×C3×C4—33no—
249C22×C3×C4—33no—
250C22×C3×C4C22×D313yes—
251C22×C3×C4C22×D313yes—
252C2×#67C22×D316yes—
253C22×Dic3—36no—
254C22×Dic3—36no—
255C22×Dic3—36no—
256C22×Dic3—36no—
257C22×Dic3—312no—
258C22×Dic3—66no—
259C22×Dic3—1212no—
260C22×Dic3C22×D313yes—
261C22×Dic3C22×D313yes—
262#239C2×Dic3116yescomplemented
263D3×D4C2×Dic3148yescomplemented
264#235C2×Dic3124yescomplemented
265C2×D12C2×Dic3124yescomplemented
266C2×D12C22×D313yes—
267C2×D12C22×D316yes—
268C2×C4×D3—36no—
269C2×C4×D3—36no—
270C2×C4×D3—312no—
271C2×C4×D3—1212no—
272C2×C4×D3C22×D316yes—
273C2×Dic6C22×D311yescharacteristic
274C3×C4⋊C4—33no—
275C3×C4⋊C4—33no—
276C3×C22⋊C4—36no—
277C3×C42—31no—
278C3×C42—33no—
279C3×C42—33no—
280C3×C42—33no—
281#217—36no—
282#217—36no—
283#217—36no—
284#217—312no—
285#217—36no—
286#217—66no—
287#217C22×D316yes—
288(C2×D3)⋊C4—36no—
289(C2×D3)⋊C4—36no—
290(C2×D3)⋊C4—312no—
291C4⋊Dic3—33no—
292C4⋊Dic3—31no—
293C4⋊Dic3—36no—
294C4⋊Dic3—36no—
295C4⋊Dic3—33no—
296C4⋊Dic3—31no—
297C4⋊Dic3—36no—
298C4⋊Dic3—32no—
299C4⋊Dic3—63no—
300C4⋊Dic3—66no—
301C4⋊Dic3—61no—
302C4⋊Dic3C22×D313yes—
303C4⋊Dic3C22×D313yes—
304Dic3⋊C4—32no—
305Dic3⋊C4—36no—
306C4×Dic3—36no—
307C4×Dic3—36no—
308C4×Dic3—32no—
309C4×Dic3—36no—
310C4×Dic3—32no—
311C4×Dic3—36no—
312C4×Dic3—66no—
313C4×Dic3C22×D313yes—
314C4×Dic3C22×D311yescharacteristic
315C4×Dic3C22×D313yes—
316C4×Dic3C22×D313yes—
317C22×C32—23no—
318C22×C32—23no—
319C22×C32C23×C416yes—
320C22×C32C2511yescharacteristic
321C2×C3×D3—26no—
322C2×C3×D3—26no—
323C2×C3×D3—424no—
324C2×C3×D3C23×C4112yes—
325C32×C4C23×C412yes—
326C32×C4C23×C416yes—
327C3⋊Dic3—26no—
328C3⋊Dic3—22no—
329C3×Dic3—23no—
330C3×Dic3—23no—
331C3×Dic3—21no—
332C3×Dic3C23×C414yes—
333C3×Dic3H(5,𝔽2)12yescomplemented
334H(5,𝔽2)—316no—
335C2×#41—32no—
336C2×#41—33no—
337C2×#41D3211yescharacteristic
338C22×D4—36no—
339C22×D4—33no—
340C23×C4—96no—
341C4×Q8—31no—
342C4×Q8—31no—
343C4×Q8—91no—
344C4×Q8—93no—
345C4×Q8—92no—
346C4×D4—33no—
347C4×D4—33no—
348C4×D4—93no—
349C4×D4—96no—
350C4×D4—96no—
351C4×D4—96no—
352C4×D4—93no—
353C4×D4—912no—
354C4×D4—96no—
355C4×D4—96no—
356C4×D4—96no—
357C4×D4—96no—
358C4×D4—96no—
359#117—33no—
360#117—96no—
361#117—96no—
362#117—93no—
363C2×C4⋊C4—96no—
364C2×C4⋊C4—93no—
365C2×C22⋊C4—912no—
366C2×C22⋊C4—96no—
367C2×C42—33no—
368C2×C42—96no—
369C23×C3—23no—
370C23×C3—36no—
371C23×C3—324no—
372C23×C3—126no—
373C23×C3—126no—
374C23×C3C23×D313yes—
375C23×C3C23×D313yes—
376C22×D3—46no—
377C22×D3—46no—
378C22×D3C22×Dic3124yescomplemented
379C22×D3C23×D316yes—
380C3×Q8—24no—
381C3×Q8—34no—
382C3×Q8C2×C4×D314yescomplemented
383C3×Q8C22×Dic314yescomplemented
384C3×D4—212no—
385C3×D4—324no—
386C3×D4—324no—
387C3×D4—312no—
388C3×D4C2×C4×D3112yescomplemented
389C3×D4C22×Dic3112yescomplemented
390C2×C3×C4—23no—
391C2×C3×C4—21no—
392C2×C3×C4—212no—
393C2×C3×C4—32no—
394C2×C3×C4—31no—
395C2×C3×C4—324no—
396C2×C3×C4—33no—
397C2×C3×C4—31no—
398C2×C3×C4—33no—
399C2×C3×C4—66no—
400C2×C3×C4—123no—
401C2×C3×C4C2×C4×D3112yescomplemented
402C2×C3×C4C22×Dic3112yescomplemented
403C2×C3×C4C23×D313yes—
404C2×C3×C4C23×D311yescharacteristic
405C2×C3×C4C23×D313yes—
406C2×C3×C4C23×D311yescharacteristic
407#67C22×Dic3124yescomplemented
408C2×Dic3—26no—
409C2×Dic3—32no—
410C2×Dic3—32no—
411C2×Dic3—36no—
412C2×Dic3—36no—
413C2×Dic3—43no—
414C2×Dic3—62no—
415C2×Dic3—66no—
416C2×Dic3—612no—
417C2×Dic3—126no—
418C2×Dic3—1212no—
419C2×Dic3—126no—
420C2×Dic3—126no—
421C2×Dic3—246no—
422C2×Dic3C23×D313yes—
423C2×Dic3C23×D311yescharacteristic
424C2×Dic3C23×D313yes—
425C2×Dic3C23×D311yescharacteristic
426C2×Dic3C23×D312yes—
427D12C22×Dic3112yescomplemented
428D12C22×Dic3124yescomplemented
429C4×D3—612no—
430C4×D3—126no—
431C4×D3—1212no—
432C4×D3C22×Dic3124yescomplemented
433Dic6C22×Dic314yescomplemented
434C2×C32—26no—
435C2×C32C24×C411yescharacteristic
436C2×C32C2×H(5,𝔽2)11yescharacteristic
437C2×C32#58511yescharacteristic
438C3×D3—212no—
439C24—36no—
440#41—316no—
441#41—324no—
442#41D3×Dic318yescomplemented
443C2×Q8—31no—
444C2×Q8C2×D3211yescharacteristic
445C2×D4—36no—
446C2×D4—348no—
447C2×D4—33no—
448C2×D4—36no—
449C2×D4—324no—
450C2×D4C2×D3213yes—
451C22×C4—36no—
452C22×C4—33no—
453C22×C4—33no—
454C22×C4—96no—
455C22×C4—96no—
456C22×C4—912no—
457C22×C4—96no—
458C22×C4—3612no—
459C22×C4C2×D3213yes—
460C4⋊C4—33no—
461C4⋊C4—33no—
462C4⋊C4—96no—
463C4⋊C4—92no—
464C4⋊C4—93no—
465C4⋊C4—96no—
466C4⋊C4—91no—
467C22⋊C4—36no—
468C22⋊C4—96no—
469C22⋊C4—912no—
470C22⋊C4—96no—
471C22⋊C4—96no—
472C42—31no—
473C42—33no—
474C42—33no—
475C42—33no—
476C42—92no—
477C42—96no—
478C42—96no—
479C22×C3—23no—
480C22×C3—23no—
481C22×C3—23no—
482C22×C3—23no—
483C22×C3—26no—
484C22×C3—21no—
485C22×C3—312no—
486C22×C3—43no—
487C22×C3—43no—
488C22×C3—66no—
489C22×C3—66no—
490C22×C3—1224no—
491C22×C3C22×C4×D316yes—
492C22×C3C23×Dic316yes—
493C22×C3C24×D311yescharacteristic
494C22×C3C24×D311yescharacteristic
495C2×D3—26no—
496C2×D3—26no—
497C2×D3—424no—
498C2×D3C23×Dic3112yes—
499C3×C4—22no—
500C3×C4—26no—
501C3×C4—34no—
502C3×C4—32no—
503C3×C4—63no—
504C3×C4—63no—
505C3×C4—61no—
506C3×C4C22×C4×D316yes—
507C3×C4C22×C4×D312yes—
508C3×C4C23×Dic312yes—
509C3×C4C23×Dic316yes—
510Dic3—23no—
511Dic3—21no—
512Dic3—23no—
513Dic3—66no—
514Dic3—62no—
515Dic3—66no—
516Dic3—62no—
517Dic3—126no—
518Dic3—122no—
519Dic3#100912yesdirect product factor
520Dic3C23×Dic314yes—
521C32C4×H(5,𝔽2)11yescharacteristic, complemented, Sylow
522C23—36no—
523C23—324no—
524C23—126no—
525C23—126no—
526C23C22×D3213yes—
527Q8—34no—
528Q8C2×D3×Dic314yescomplemented
529D4—324no—
530D4—324no—
531D4—312no—
532D4C2×D3×Dic3112yescomplemented
533C2×C4—31no—
534C2×C4—32no—
535C2×C4—324no—
536C2×C4—31no—
537C2×C4—33no—
538C2×C4—33no—
539C2×C4—66no—
540C2×C4—92no—
541C2×C4—96no—
542C2×C4—123no—
543C2×C4—1812no—
544C2×C4—3612no—
545C2×C4—366no—
546C2×C4—366no—
547C2×C4C2×D3×Dic3112yescomplemented
548C2×C4C22×D3211yescharacteristic
549C2×C4C22×D3213yes—
550C2×C3—26no—
551C2×C3—26no—
552C2×C3—21no—
553C2×C3—21no—
554C2×C3—21no—
555C2×C3—46no—
556C2×C3—612no—
557C2×C3C23×C4×D311yescharacteristic
558C2×C3C2×#100911yescharacteristic
559C2×C3#596411yescharacteristic
560C2×C3D3×H(5,𝔽2)11yescharacteristic
561C2×C3#596611yescharacteristic
562C2×C3C24×Dic311yescharacteristic
563D3—212no—
564C22—23no—
565C22—23no—
566C22—312no—
567C22—66no—
568C22—66no—
569C22—1224no—
570C22C22×D3×Dic316yes—
571C22C23×D3211yescharacteristic
572C4—32no—
573C4—34no—
574C4—63no—
575C4—61no—
576C4—63no—
577C4—186no—
578C4—182no—
579C4C22×D3×Dic316yes—
580C4C22×D3×Dic312yes—
581C3—21no—
582C3C4×#100911yescharacteristic, complemented
583C3Dic3×H(5,𝔽2)11yescharacteristic, complemented
584C2—26no—
585C2—612no—
586C2D3×#100911yescharacteristic
587C2#1059669611yescharacteristic
588C2C23×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. #10596298C2semidirect
3. C3×Dic3×#41C2semidirect
4. #10595394C2semidirect
5. Dic3×#239C2semidirect
6. #10595215C2semidirect
7. D3×D4×Dic3C2semidirect
8. #10594992C2semidirect
9. #10594982C2semidirect
10. Dic3×#235C2semidirect
11. C2×Dic3×D12C2semidirect
15. C3×#1009C4semidirect
20. C22×D3×Dic3C22semidirect
21. Q8×C3⋊Dic3C22semidirect
22. D4×C3⋊Dic3C22semidirect
23. #64135C22semidirect
24. C2×C4⋊(C3⋊Dic3)C22semidirect
25. C3×Q8×Dic3C22semidirect
26. C3×Q8×Dic3C22semidirect
27. C3×D4×Dic3C22semidirect
28. C3×D4×Dic3C22semidirect
29. C3×#926C22semidirect
30. C2×C3×C4×Dic3C22semidirect
31. #67⋊Dic3C22semidirect
32. Dic3×#67C22semidirect
33. Dic3×#67C22semidirect
34. D3×#217C22semidirect
35. C2×(C2×D3)⋊Dic3C22semidirect
36. #63898C22semidirect
37. #63898C22semidirect
38. Dic3×D12C22semidirect
39. Dic3×D12C22semidirect
40. Dic3×D12C22semidirect
41. Dic3×D12C22semidirect
42. Dic3×D12C22semidirect
43. D3×C4⋊Dic3C22semidirect
44. C4×D3×Dic3C22semidirect
45. #63855C22semidirect
46. Dic3×Dic6C22semidirect
47. Dic3×Dic6C22semidirect
48. #63841C22semidirect
59. Dic3×#41D3semidirect
73. C32×#41C2×C4semidirect
81. C3×#239C2×C4semidirect
82. C3×D3×D4C2×C4semidirect
83. C3×#235C2×C4semidirect
84. C2×C3×D12C2×C4semidirect
122. #1009Dic3direct (N × H)
141. Q8×Dic3C2×D3semidirect
142. Q8×Dic3C2×D3semidirect
156. D4×Dic3C2×D3semidirect
157. D4×Dic3C2×D3semidirect
166. #926C2×D3semidirect
172. C2×C4×Dic3C2×D3semidirect
191. C22×C3×D3C22×C4semidirect
193. C32×Q8C22×C4semidirect
194. C32×D4C22×C4semidirect
195. C2×C32×C4C22×C4semidirect
201. C3×#67C22×C4semidirect
209. C3×D12C22×C4semidirect
210. C3×D12C22×C4semidirect
211. C3×C4×D3C22×C4semidirect
212. C3×Dic6C22×C4semidirect
232. C3×#41C4×D3semidirect
233. C3×#41C2×Dic3semidirect
262. #239C2×Dic3semidirect
263. D3×D4C2×Dic3semidirect
264. #235C2×Dic3semidirect
265. C2×D12C2×Dic3semidirect
333. C3×Dic3H(5,𝔽2)semidirect
378. C22×D3C22×Dic3semidirect
382. C3×Q8C2×C4×D3semidirect
383. C3×Q8C22×Dic3semidirect
388. C3×D4C2×C4×D3semidirect
389. C3×D4C22×Dic3semidirect
401. C2×C3×C4C2×C4×D3semidirect
402. C2×C3×C4C22×Dic3semidirect
407. #67C22×Dic3semidirect
427. D12C22×Dic3semidirect
428. D12C22×Dic3semidirect
432. C4×D3C22×Dic3semidirect
433. Dic6C22×Dic3semidirect
442. #41D3×Dic3semidirect
519. Dic3#1009direct (N × H)
521. C32C4×H(5,𝔽2)semidirect
528. Q8C2×D3×Dic3semidirect
532. D4C2×D3×Dic3semidirect
547. C2×C4C2×D3×Dic3semidirect
582. C3C4×#1009semidirect
583. 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
#105962982
C3×Dic3×#412
#105953942
Dic3×#2392
#105952152
D3×D4×Dic32
#105949922
#105949822
Dic3×#2352
C2×Dic3×D122
Dic3×H(5,𝔽2)3
C4×#10093